TSTP Solution File: GRP767-1 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : GRP767-1 : TPTP v6.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n041.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 00:24:56 EDT 2014
% Result : Timeout 300.09s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : GRP767-1 : TPTP v6.0.0. Released v4.1.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n041.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 01:40:23 CDT 2014
% % CPUTime : 300.09
% Processing problem /tmp/CiME_24694_n041.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " x1,x0,one : constant; t : 2; l : 3; 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);
% l(A,B,C) = difference(product(A,B),product(A,product(B,C)));
% l(A,A,product(B,C)) = product(l(A,A,B),l(A,A,C));
% t(A,B) = quotient(product(A,B),A);
% t(eta(A),product(B,C)) = product(t(eta(A),B),t(eta(A),C));
% ";
%
% let s1 = status F "
% x1 lr_lex;
% x0 lr_lex;
% t lr_lex;
% l 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 "
% l > product > difference > quotient > t > i > j > eta > one > x0 > x1";
%
% let s2 = status F "
% x1 mul;
% x0 mul;
% t mul;
% l mul;
% eta mul;
% j mul;
% i mul;
% quotient mul;
% difference mul;
% product mul;
% one mul;
% ";
%
% let p2 = precedence F "
% l > product > difference > quotient > t > i > j > eta > one = x0 = x1";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " product(j(j(x0)),j(product(x1,x0))) = j(x1);"
% ;
% (*
% 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),
% l(A,B,C) =
% difference(product(A,B),product(A,product(B,C))),
% l(A,A,product(B,C)) = product(l(A,A,B),l(A,A,C)),
% t(A,B) = quotient(product(A,B),A),
% t(eta(A),product(B,C)) =
% product(t(eta(A),B),t(eta(A),C)) }
% (20 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(j(j(x0)),j(product(x1,x0))) = j(x1) }
% (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: 21
% 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: 20
% 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: 19
% 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: 18
% 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: 16
% 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: 16
% 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: 15
% 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: 14
% 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: 13
% 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: 12
% 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: 11
% Current number of rules: 11
% New rule produced : [12] product(i(i(A)),B) -> product(eta(A),product(A,B))
% Current number of equations to process: 0
% Current number of ordered equations: 10
% Current number of rules: 12
% New rule produced : [13] product(j(j(A)),B) -> product(A,product(eta(A),B))
% The conjecture has been reduced.
% Conjecture is now:
% product(x0,product(eta(x0),j(product(x1,x0)))) = j(x1)
%
% Current number of equations to process: 0
% Current number of ordered equations: 9
% Current number of rules: 13
% New rule produced :
% [14] product(product(A,B),eta(A)) -> product(A,product(B,eta(A)))
% Current number of equations to process: 0
% Current number of ordered equations: 8
% Current number of rules: 14
% New rule produced :
% [15] product(product(eta(A),B),C) -> product(eta(A),product(B,C))
% Current number of equations to process: 0
% Current number of ordered equations: 7
% Current number of rules: 15
% New rule produced :
% [16]
% quotient(product(B,product(C,A)),A) <-> difference(A,product(product(A,B),C))
% Current number of equations to process: 23
% Current number of ordered equations: 38
% Current number of rules: 16
% New rule produced :
% [17]
% difference(A,product(product(A,B),C)) <-> quotient(product(B,product(C,A)),A)
% Current number of equations to process: 23
% Current number of ordered equations: 37
% Current number of rules: 17
% New rule produced :
% [18] l(A,B,C) -> difference(product(A,B),product(A,product(B,C)))
% Current number of equations to process: 24
% Current number of ordered equations: 35
% Current number of rules: 18
% New rule produced :
% [19] product(t(eta(A),B),t(eta(A),C)) -> t(eta(A),product(B,C))
% Current number of equations to process: 23
% Current number of ordered equations: 35
% Current number of rules: 19
% New rule produced :
% [20]
% product(difference(product(A,A),product(A,product(A,B))),difference(product(A,A),
% product(A,product(A,C))))
% -> difference(product(A,A),product(A,product(A,product(B,C))))
% Current number of equations to process: 23
% Current number of ordered equations: 34
% Current number of rules: 20
% New rule produced :
% [21]
% quotient(quotient(product(C,product(A,B)),B),A) <->
% difference(product(A,B),product(A,product(B,C)))
% Current number of equations to process: 48
% Current number of ordered equations: 68
% Current number of rules: 21
% New rule produced :
% [22]
% difference(product(A,B),product(A,product(B,C))) <->
% quotient(quotient(product(C,product(A,B)),B),A)
% Current number of equations to process: 48
% Current number of ordered equations: 67
% Current number of rules: 22
% New rule produced : [23] i(one) -> eta(one)
% Current number of equations to process: 48
% Current number of ordered equations: 66
% Current number of rules: 23
% New rule produced : [24] j(one) -> eta(one)
% Current number of equations to process: 48
% Current number of ordered equations: 65
% Current number of rules: 24
% New rule produced : [25] quotient(A,one) -> A
% Current number of equations to process: 51
% Current number of ordered equations: 60
% Current number of rules: 25
% New rule produced : [26] quotient(A,A) -> one
% Current number of equations to process: 52
% Current number of ordered equations: 58
% Current number of rules: 26
% New rule produced : [27] difference(A,A) -> one
% Current number of equations to process: 52
% Current number of ordered equations: 57
% Current number of rules: 27
% New rule produced : [28] difference(one,A) -> A
% Current number of equations to process: 52
% Current number of ordered equations: 54
% Current number of rules: 28
% New rule produced : [29] t(A,A) -> A
% Current number of equations to process: 52
% Current number of ordered equations: 53
% Current number of rules: 29
% New rule produced : [30] product(A,i(A)) -> one
% Current number of equations to process: 53
% Current number of ordered equations: 51
% Current number of rules: 30
% New rule produced : [31] product(j(A),A) -> one
% Current number of equations to process: 53
% Current number of ordered equations: 50
% Current number of rules: 31
% New rule produced : [32] t(A,one) -> one
% Current number of equations to process: 52
% Current number of ordered equations: 50
% Current number of rules: 32
% New rule produced : [33] t(one,A) -> A
% Current number of equations to process: 51
% Current number of ordered equations: 50
% Current number of rules: 33
% New rule produced : [34] quotient(eta(A),A) -> i(A)
% Current number of equations to process: 52
% Current number of ordered equations: 48
% Current number of rules: 34
% New rule produced : [35] difference(A,eta(A)) -> j(A)
% Current number of equations to process: 52
% Current number of ordered equations: 47
% Current number of rules: 35
% New rule produced : [36] difference(i(A),eta(A)) -> A
% Current number of equations to process: 52
% Current number of ordered equations: 46
% Current number of rules: 36
% New rule produced : [37] quotient(A,difference(B,A)) -> B
% Current number of equations to process: 52
% Current number of ordered equations: 45
% Current number of rules: 37
% New rule produced : [38] difference(quotient(A,B),A) -> B
% Current number of equations to process: 52
% Current number of ordered equations: 44
% Current number of rules: 38
% New rule produced : [39] quotient(eta(A),j(A)) -> A
% Current number of equations to process: 52
% Current number of ordered equations: 43
% Current number of rules: 39
% New rule produced : [40] product(eta(A),A) -> i(i(A))
% Current number of equations to process: 53
% Current number of ordered equations: 41
% Current number of rules: 40
% New rule produced : [41] product(A,eta(A)) -> j(j(A))
% Current number of equations to process: 53
% Current number of ordered equations: 40
% Current number of rules: 41
% New rule produced : [42] t(A,j(A)) -> i(A)
% Current number of equations to process: 52
% Current number of ordered equations: 40
% Current number of rules: 42
% New rule produced : [43] t(B,difference(B,A)) -> quotient(A,B)
% Current number of equations to process: 52
% Current number of ordered equations: 39
% Current number of rules: 43
% New rule produced : [44] product(t(A,B),A) -> product(A,B)
% Current number of equations to process: 52
% Current number of ordered equations: 38
% Current number of rules: 44
% New rule produced : [45] quotient(eta(A),i(A)) -> t(i(A),A)
% Current number of equations to process: 52
% Current number of ordered equations: 37
% Current number of rules: 45
% New rule produced : [46] quotient(A,quotient(A,B)) -> t(quotient(A,B),B)
% Current number of equations to process: 52
% Current number of ordered equations: 36
% Current number of rules: 46
% New rule produced : [47] eta(i(A)) -> eta(A)
% Current number of equations to process: 51
% Current number of ordered equations: 34
% Current number of rules: 47
% New rule produced : [48] quotient(product(eta(A),product(A,B)),B) -> i(i(A))
% Current number of equations to process: 51
% Current number of ordered equations: 33
% Current number of rules: 48
% New rule produced : [49] quotient(product(A,product(eta(A),B)),B) -> j(j(A))
% Current number of equations to process: 51
% Current number of ordered equations: 32
% Current number of rules: 49
% New rule produced :
% [50] product(A,product(j(A),eta(A))) -> product(eta(A),eta(A))
% Current number of equations to process: 51
% Current number of ordered equations: 31
% Current number of rules: 50
% New rule produced :
% [51] t(A,product(B,A)) <-> difference(A,product(product(A,A),B))
% Current number of equations to process: 51
% Current number of ordered equations: 30
% Current number of rules: 51
% New rule produced :
% [52] difference(A,product(product(A,A),B)) <-> t(A,product(B,A))
% Current number of equations to process: 51
% Current number of ordered equations: 29
% Current number of rules: 52
% New rule produced :
% [53] product(B,product(difference(B,A),eta(B))) -> product(A,eta(B))
% Current number of equations to process: 51
% Current number of ordered equations: 28
% Current number of rules: 53
% New rule produced :
% [54] quotient(product(eta(A),product(B,C)),C) -> product(eta(A),B)
% Rule [48] quotient(product(eta(A),product(A,B)),B) -> i(i(A)) collapsed.
% Current number of equations to process: 51
% Current number of ordered equations: 27
% Current number of rules: 53
% New rule produced : [55] quotient(product(A,i(i(B))),B) -> product(A,eta(B))
% Current number of equations to process: 50
% Current number of ordered equations: 27
% Current number of rules: 54
% New rule produced :
% [56] difference(i(i(A)),product(eta(A),product(A,B))) -> B
% Current number of equations to process: 50
% Current number of ordered equations: 26
% Current number of rules: 55
% New rule produced :
% [57] product(eta(B),product(B,difference(i(i(B)),A))) -> A
% Current number of equations to process: 50
% Current number of ordered equations: 25
% Current number of rules: 56
% New rule produced :
% [58] difference(j(j(A)),product(A,product(eta(A),B))) -> B
% Current number of equations to process: 50
% Current number of ordered equations: 24
% Current number of rules: 57
% New rule produced :
% [59] product(B,product(eta(B),difference(j(j(B)),A))) -> A
% Current number of equations to process: 50
% Current number of ordered equations: 23
% Current number of rules: 58
% New rule produced :
% [60] quotient(product(A,product(B,eta(A))),eta(A)) -> product(A,B)
% Current number of equations to process: 50
% Current number of ordered equations: 22
% Current number of rules: 59
% New rule produced :
% [61] product(eta(C),product(difference(eta(C),A),B)) -> product(A,B)
% Current number of equations to process: 50
% Current number of ordered equations: 21
% Current number of rules: 60
% New rule produced :
% [62] product(eta(A),product(j(eta(A)),B)) -> product(eta(eta(A)),B)
% Current number of equations to process: 50
% Current number of ordered equations: 20
% Current number of rules: 61
% New rule produced :
% [63] quotient(product(A,product(B,eta(C))),eta(C)) -> product(A,B)
% Rule [60] quotient(product(A,product(B,eta(A))),eta(A)) -> product(A,B)
% collapsed.
% Current number of equations to process: 50
% Current number of ordered equations: 19
% Current number of rules: 61
% New rule produced : [64] product(eta(A),product(A,j(i(i(A))))) -> eta(A)
% Current number of equations to process: 49
% Current number of ordered equations: 19
% Current number of rules: 62
% New rule produced :
% [65] product(A,product(eta(A),j(j(j(A))))) -> eta(j(j(A)))
% Current number of equations to process: 49
% Current number of ordered equations: 18
% Current number of rules: 63
% New rule produced : [66] product(i(A),j(j(A))) -> product(eta(A),eta(A))
% Current number of equations to process: 48
% Current number of ordered equations: 18
% Current number of rules: 64
% New rule produced :
% [67] difference(product(A,B),product(A,product(B,eta(A)))) -> eta(A)
% Current number of equations to process: 48
% Current number of ordered equations: 17
% Current number of rules: 65
% New rule produced :
% [68]
% quotient(product(j(A),product(B,A)),A) -> difference(A,product(eta(A),B))
% Current number of equations to process: 48
% Current number of ordered equations: 16
% Current number of rules: 66
% New rule produced :
% [69] difference(product(eta(A),B),product(eta(A),product(B,C))) -> C
% Current number of equations to process: 48
% Current number of ordered equations: 15
% Current number of rules: 67
% New rule produced :
% [70] product(eta(B),product(C,difference(product(eta(B),C),A))) -> A
% Current number of equations to process: 48
% Current number of ordered equations: 14
% Current number of rules: 68
% New rule produced :
% [71]
% difference(C,product(product(C,A),quotient(B,C))) -> quotient(product(A,B),C)
% Current number of equations to process: 48
% Current number of ordered equations: 13
% Current number of rules: 69
% New rule produced :
% [72]
% product(difference(A,product(product(A,B),C)),A) -> product(B,product(C,A))
% Current number of equations to process: 48
% Current number of ordered equations: 12
% Current number of rules: 70
% New rule produced :
% [73]
% product(A,quotient(product(B,product(C,A)),A)) <-> product(product(A,B),C)
% Current number of equations to process: 48
% Current number of ordered equations: 11
% Current number of rules: 71
% New rule produced :
% [74]
% product(product(A,B),C) <-> product(A,quotient(product(B,product(C,A)),A))
% Rule [14] product(product(A,B),eta(A)) -> product(A,product(B,eta(A)))
% collapsed.
% Current number of equations to process: 48
% Current number of ordered equations: 8
% Current number of rules: 71
% New rule produced :
% [75]
% quotient(product(difference(A,B),product(C,A)),A) ->
% difference(A,product(B,C))
% Current number of equations to process: 62
% Current number of ordered equations: 7
% Current number of rules: 72
% New rule produced :
% [76] quotient(product(eta(A),product(A,B)),i(i(A))) -> t(i(i(A)),B)
% Current number of equations to process: 63
% Current number of ordered equations: 6
% Current number of rules: 73
% New rule produced :
% [77] quotient(product(A,product(eta(A),B)),j(j(A))) -> t(j(j(A)),B)
% Current number of equations to process: 63
% Current number of ordered equations: 5
% Current number of rules: 74
% New rule produced :
% [78]
% product(eta(A),product(B,j(product(eta(A),B)))) -> eta(product(eta(A),B))
% Current number of equations to process: 63
% Current number of ordered equations: 4
% Current number of rules: 75
% New rule produced :
% [79]
% difference(i(A),product(eta(A),B)) <->
% quotient(product(A,product(B,i(A))),i(A))
% Current number of equations to process: 63
% Current number of ordered equations: 3
% Current number of rules: 76
% New rule produced :
% [80]
% quotient(product(A,product(B,i(A))),i(A)) <->
% difference(i(A),product(eta(A),B))
% Current number of equations to process: 63
% Current number of ordered equations: 2
% Current number of rules: 77
% New rule produced :
% [81]
% difference(product(B,A),product(B,product(A,A))) ->
% quotient(t(A,product(B,A)),B)
% Current number of equations to process: 62
% Current number of ordered equations: 2
% Current number of rules: 78
% New rule produced :
% [82] quotient(t(eta(A),product(B,C)),t(eta(A),C)) -> t(eta(A),B)
% Current number of equations to process: 64
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced :
% [83] difference(t(eta(A),B),t(eta(A),product(B,C))) -> t(eta(A),C)
% Current number of equations to process: 64
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [84]
% difference(product(A,B),product(A,C)) <->
% quotient(difference(B,product(C,A)),A)
% Current number of equations to process: 74
% Current number of ordered equations: 1
% Current number of rules: 81
% New rule produced :
% [85]
% quotient(difference(B,product(C,A)),A) <->
% difference(product(A,B),product(A,C))
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced : [86] i(eta(one)) -> eta(one)
% Current number of equations to process: 85
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced : [87] product(j(eta(one)),A) -> product(eta(one),A)
% Current number of equations to process: 85
% Current number of ordered equations: 0
% Current number of rules: 84
% Rule [24] j(one) -> eta(one) is composed into [24] j(one) -> one
% Rule [23] i(one) -> eta(one) is composed into [23] i(one) -> one
% New rule produced : [88] eta(one) -> one
% Rule [86] i(eta(one)) -> eta(one) collapsed.
% Rule [87] product(j(eta(one)),A) -> product(eta(one),A) collapsed.
% Current number of equations to process: 85
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced : [89] j(i(A)) -> A
% Rule [64] product(eta(A),product(A,j(i(i(A))))) -> eta(A) collapsed.
% Current number of equations to process: 87
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced : [90] t(A,i(A)) -> j(A)
% Current number of equations to process: 87
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced : [91] product(eta(B),product(i(eta(B)),A)) -> A
% Current number of equations to process: 93
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced : [92] i(j(A)) -> A
% Current number of equations to process: 96
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced : [93] t(j(A),A) -> j(j(A))
% Current number of equations to process: 96
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced : [94] product(A,product(eta(A),j(A))) -> one
% Current number of equations to process: 97
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced : [95] t(eta(A),product(B,eta(A))) <-> product(eta(A),B)
% Current number of equations to process: 101
% Current number of ordered equations: 1
% Current number of rules: 89
% New rule produced : [96] product(eta(A),B) <-> t(eta(A),product(B,eta(A)))
% Rule [40] product(eta(A),A) -> i(i(A)) collapsed.
% Current number of equations to process: 102
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced : [97] t(eta(A),j(j(A))) -> i(i(A))
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [98] product(B,product(i(B),A)) -> quotient(quotient(A,i(B)),B)
% Rule [91] product(eta(B),product(i(eta(B)),A)) -> A collapsed.
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced : [99] quotient(quotient(A,i(eta(B))),eta(B)) -> A
% Current number of equations to process: 100
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [100] product(j(B),product(B,A)) -> quotient(quotient(A,B),j(B))
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced : [101] difference(t(A,B),product(A,B)) -> A
% Current number of equations to process: 99
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced : [102] difference(A,j(j(A))) -> eta(A)
% Current number of equations to process: 103
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced : [103] quotient(j(j(A)),eta(A)) -> A
% Current number of equations to process: 102
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced : [104] quotient(j(j(A)),A) -> t(A,eta(A))
% Current number of equations to process: 102
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced : [105] product(eta(A),product(A,i(i(i(A))))) -> one
% Current number of equations to process: 110
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [106] quotient(product(i(A),product(B,A)),A) -> difference(A,B)
% Current number of equations to process: 108
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced : [107] quotient(product(A,j(j(B))),eta(B)) -> product(A,B)
% Current number of equations to process: 107
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced : [108] quotient(product(A,B),t(A,B)) -> t(t(A,B),A)
% Current number of equations to process: 113
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [109] difference(product(A,B),product(A,j(j(B)))) -> eta(B)
% Current number of equations to process: 117
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced : [110] difference(t(i(A),A),eta(A)) -> i(A)
% Current number of equations to process: 117
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced : [111] difference(t(quotient(A,B),B),A) -> quotient(A,B)
% Current number of equations to process: 121
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [112] product(eta(A),t(eta(A),B)) -> t(eta(A),product(eta(A),B))
% Current number of equations to process: 120
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [113] product(eta(A),product(B,i(product(eta(A),B)))) -> one
% Current number of equations to process: 119
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced : [114] quotient(eta(A),t(i(A),A)) -> t(t(i(A),A),i(A))
% Current number of equations to process: 117
% Current number of ordered equations: 0
% Current number of rules: 106
% Rule [45] quotient(eta(A),i(A)) -> t(i(A),A) is composed into [45]
% quotient(
% eta(A),
% i(A)) ->
% i(i(A))
% New rule produced : [115] t(i(A),A) -> i(i(A))
% Rule [110] difference(t(i(A),A),eta(A)) -> i(A) collapsed.
% Rule [114] quotient(eta(A),t(i(A),A)) -> t(t(i(A),A),i(A)) collapsed.
% Current number of equations to process: 119
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced : [116] product(i(A),eta(A)) -> j(A)
% Current number of equations to process: 119
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced : [117] difference(i(i(A)),eta(A)) -> i(A)
% Current number of equations to process: 118
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced : [118] quotient(eta(A),i(i(A))) -> i(i(i(A)))
% Current number of equations to process: 117
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [119] quotient(product(A,B),difference(eta(A),B)) -> j(j(A))
% Current number of equations to process: 120
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [120] quotient(product(A,eta(eta(A))),j(eta(A))) -> j(j(A))
% Current number of equations to process: 119
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [121] quotient(product(A,product(B,j(A))),j(A)) -> difference(j(A),B)
% Current number of equations to process: 118
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced : [122] quotient(A,i(eta(A))) -> j(j(A))
% Current number of equations to process: 118
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [123] product(j(A),eta(A)) -> difference(A,product(eta(A),eta(A)))
% Rule [50] product(A,product(j(A),eta(A))) -> product(eta(A),eta(A))
% collapsed.
% Current number of equations to process: 124
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced : [124] quotient(product(i(A),product(eta(A),B)),B) -> j(A)
% Current number of equations to process: 127
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [125] product(A,t(A,product(B,A))) <-> product(product(A,A),B)
% Current number of equations to process: 134
% Current number of ordered equations: 1
% Current number of rules: 114
% New rule produced :
% [126] product(product(A,A),B) <-> product(A,t(A,product(B,A)))
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [127] product(difference(A,B),eta(A)) -> difference(A,product(B,eta(A)))
% Rule [53] product(B,product(difference(B,A),eta(B))) -> product(A,eta(B))
% collapsed.
% Current number of equations to process: 141
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [128] product(eta(A),quotient(B,C)) -> quotient(product(eta(A),B),C)
% Current number of equations to process: 144
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [129] product(eta(A),i(B)) -> quotient(product(eta(A),eta(B)),B)
% Current number of equations to process: 146
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [130] quotient(product(eta(A),B),difference(C,B)) <-> product(eta(A),C)
% Current number of equations to process: 145
% Current number of ordered equations: 1
% Current number of rules: 118
% Rule [123] product(j(A),eta(A)) -> difference(A,product(eta(A),eta(A))) is composed into
% [123]
% product(j(A),eta(A)) ->
% difference(A,quotient(product(eta(A),x1),difference(eta(A),x1)))
% Rule [66] product(i(A),j(j(A))) -> product(eta(A),eta(A)) is composed into
% [66]
% product(i(A),j(j(A))) -> quotient(product(eta(A),x1),difference(eta(A),x1))
% Rule [15] product(product(eta(A),B),C) -> product(eta(A),product(B,C)) is composed into
% [15]
% product(product(eta(A),B),C) ->
% quotient(product(eta(A),B),difference(product(B,C),B))
% Rule [12] product(i(i(A)),B) -> product(eta(A),product(A,B)) is composed into
% [12]
% product(i(i(A)),B) -> quotient(product(eta(A),B),difference(product(A,B),B))
% New rule produced :
% [131] product(eta(A),C) <-> quotient(product(eta(A),B),difference(C,B))
% Rule [54] quotient(product(eta(A),product(B,C)),C) -> product(eta(A),B)
% collapsed.
% Rule [56] difference(i(i(A)),product(eta(A),product(A,B))) -> B collapsed.
% Rule [57] product(eta(B),product(B,difference(i(i(B)),A))) -> A collapsed.
% Rule [59] product(B,product(eta(B),difference(j(j(B)),A))) -> A collapsed.
% Rule [61] product(eta(C),product(difference(eta(C),A),B)) -> product(A,B)
% collapsed.
% Rule [62] product(eta(A),product(j(eta(A)),B)) -> product(eta(eta(A)),B)
% collapsed.
% Rule [65] product(A,product(eta(A),j(j(j(A))))) -> eta(j(j(A))) collapsed.
% Rule [69] difference(product(eta(A),B),product(eta(A),product(B,C))) -> C
% collapsed.
% Rule [70] product(eta(B),product(C,difference(product(eta(B),C),A))) -> A
% collapsed.
% Rule [76] quotient(product(eta(A),product(A,B)),i(i(A))) -> t(i(i(A)),B)
% collapsed.
% Rule
% [78]
% product(eta(A),product(B,j(product(eta(A),B)))) -> eta(product(eta(A),B))
% collapsed.
% Rule [94] product(A,product(eta(A),j(A))) -> one collapsed.
% Rule [105] product(eta(A),product(A,i(i(i(A))))) -> one collapsed.
% Rule [112] product(eta(A),t(eta(A),B)) -> t(eta(A),product(eta(A),B))
% collapsed.
% Rule [113] product(eta(A),product(B,i(product(eta(A),B)))) -> one collapsed.
% Rule [128] product(eta(A),quotient(B,C)) -> quotient(product(eta(A),B),C)
% collapsed.
% Rule [129] product(eta(A),i(B)) -> quotient(product(eta(A),eta(B)),B)
% collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% product(x0,quotient(t(eta(x0),product(x1,eta(x0))),difference(j(product(x1,x0)),x1))) =
% j(x1)
%
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced : [132] quotient(i(i(A)),A) -> eta(A)
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced : [133] t(A,i(i(A))) -> j(j(A))
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [134] product(quotient(A,i(i(B))),eta(B)) -> quotient(A,B)
% Current number of equations to process: 166
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [135]
% quotient(quotient(product(eta(A),B),difference(eta(B),B)),j(B)) ->
% product(eta(A),B)
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [136] t(A,t(A,product(B,A))) <-> quotient(product(product(A,A),B),A)
% Current number of equations to process: 164
% Current number of ordered equations: 1
% Current number of rules: 107
% New rule produced :
% [137] quotient(product(product(A,A),B),A) <-> t(A,t(A,product(B,A)))
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [138]
% product(A,quotient(t(eta(A),product(x1,eta(A))),difference(j(A),x1))) -> one
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [139]
% product(A,quotient(t(eta(A),product(x1,eta(A))),difference(eta(j(j(A))),x1)))
% -> j(j(j(j(A))))
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [140] difference(A,product(product(A,A),t(A,B))) -> t(A,product(A,B))
% Current number of equations to process: 159
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [141] quotient(product(product(A,A),B),t(A,product(B,A))) -> A
% Current number of equations to process: 158
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [142] difference(j(j(A)),product(A,B)) -> difference(eta(A),B)
% Rule [58] difference(j(j(A)),product(A,product(eta(A),B))) -> B collapsed.
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [143] product(A,quotient(B,eta(C))) -> quotient(product(A,B),eta(C))
% Current number of equations to process: 164
% Current number of ordered equations: 1
% Current number of rules: 113
% New rule produced :
% [144] product(product(A,B),eta(C)) -> product(A,product(B,eta(C)))
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [145] product(quotient(A,product(C,eta(B))),C) -> quotient(A,eta(B))
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [146] difference(product(A,eta(B)),product(A,i(i(B)))) -> B
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [147] product(A,i(eta(B))) -> quotient(product(A,eta(eta(B))),eta(B))
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [148]
% product(i(product(A,eta(B))),A) -> quotient(eta(product(A,eta(B))),eta(B))
% Current number of equations to process: 166
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [149] difference(product(B,eta(C)),product(B,product(eta(C),A))) -> A
% Current number of equations to process: 166
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced : [150] product(A,j(eta(B))) -> quotient(A,eta(B))
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced : [151] product(j(product(B,eta(A))),B) -> j(eta(A))
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [152] difference(product(A,B),product(A,product(B,eta(C)))) -> eta(C)
% Rule [67] difference(product(A,B),product(A,product(B,eta(A)))) -> eta(A)
% collapsed.
% Current number of equations to process: 174
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [153] product(i(eta(A)),t(eta(A),B)) -> t(eta(A),product(j(eta(A)),B))
% Current number of equations to process: 172
% Current number of ordered equations: 1
% Current number of rules: 122
% New rule produced :
% [154]
% quotient(product(t(eta(A),B),eta(eta(A))),eta(A)) ->
% t(eta(A),quotient(B,eta(A)))
% Current number of equations to process: 172
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [155] quotient(product(A,product(eta(B),C)),eta(B)) -> product(A,t(eta(B),C))
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [156]
% product(difference(A,product(eta(A),B)),A) -> product(j(A),product(B,A))
% Current number of equations to process: 181
% Current number of ordered equations: 1
% Current number of rules: 125
% New rule produced :
% [157]
% quotient(product(j(A),B),A) -> difference(A,quotient(product(eta(A),B),A))
% Rule
% [68]
% quotient(product(j(A),product(B,A)),A) -> difference(A,product(eta(A),B))
% collapsed.
% Current number of equations to process: 182
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [158]
% product(product(A,B),quotient(C,A)) -> product(A,quotient(product(B,C),A))
% Rule
% [71]
% difference(C,product(product(C,A),quotient(B,C))) -> quotient(product(A,B),C)
% collapsed.
% Current number of equations to process: 189
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [159]
% product(difference(A,product(B,C)),A) ->
% product(difference(A,B),product(C,A))
% Rule
% [72]
% product(difference(A,product(product(A,B),C)),A) -> product(B,product(C,A))
% collapsed.
% Rule
% [156]
% product(difference(A,product(eta(A),B)),A) -> product(j(A),product(B,A))
% collapsed.
% Current number of equations to process: 199
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [160]
% product(C,product(difference(product(A,C),B),A)) ->
% product(difference(A,B),A)
% Current number of equations to process: 210
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [161]
% product(difference(A,eta(product(A,B))),A) ->
% product(B,product(j(product(A,B)),A))
% Current number of equations to process: 213
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [162]
% quotient(product(difference(A,B),C),A) ->
% difference(A,product(B,quotient(C,A)))
% Rule
% [75]
% quotient(product(difference(A,B),product(C,A)),A) ->
% difference(A,product(B,C)) collapsed.
% Current number of equations to process: 259
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [163]
% difference(A,product(B,i(A))) -> quotient(difference(A,product(B,eta(A))),A)
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [164] quotient(product(A,B),j(j(A))) -> t(j(j(A)),difference(eta(A),B))
% Rule [77] quotient(product(A,product(eta(A),B)),j(j(A))) -> t(j(j(A)),B)
% collapsed.
% Current number of equations to process: 261
% Current number of ordered equations: 0
% Current number of rules: 127
% Rule [15]
% product(product(eta(A),B),C) ->
% quotient(product(eta(A),B),difference(product(B,C),B)) is composed into
% [15]
% product(product(eta(A),B),C) ->
% quotient(product(eta(A),B),quotient(difference(C,B),B))
% New rule produced :
% [165] difference(product(A,B),A) -> quotient(difference(B,A),A)
% Current number of equations to process: 261
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [166]
% t(A,quotient(product(B,product(C,A)),A)) <->
% quotient(product(product(A,B),C),A)
% Current number of equations to process: 260
% Current number of ordered equations: 1
% Current number of rules: 129
% New rule produced :
% [167]
% quotient(product(product(A,B),C),A) <->
% t(A,quotient(product(B,product(C,A)),A))
% Current number of equations to process: 260
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [168]
% difference(B,product(product(B,A),t(B,C))) ->
% quotient(product(A,product(B,C)),B)
% Rule [140] difference(A,product(product(A,A),t(A,B))) -> t(A,product(A,B))
% collapsed.
% Current number of equations to process: 259
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [169] quotient(A,t(quotient(A,B),B)) -> t(t(quotient(A,B),B),quotient(A,B))
% Current number of equations to process: 258
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [170]
% quotient(difference(A,quotient(t(eta(A),product(x1,eta(A))),difference(
% eta(A),x1))),
% j(A)) -> t(j(A),eta(A))
% Current number of equations to process: 257
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [171]
% product(product(A,B),t(A,C)) ->
% product(A,quotient(product(B,product(A,C)),A))
% Rule
% [168]
% difference(B,product(product(B,A),t(B,C))) ->
% quotient(product(A,product(B,C)),B) collapsed.
% Current number of equations to process: 254
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [172]
% quotient(product(A,quotient(product(B,product(C,A)),A)),C) -> product(A,B)
% Current number of equations to process: 253
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced : [173] difference(i(A),i(i(A))) -> quotient(A,i(A))
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [174]
% difference(eta(A),product(i(A),product(A,A))) -> quotient(t(A,eta(A)),i(A))
% Current number of equations to process: 284
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [175]
% difference(A,product(quotient(A,B),product(B,B))) ->
% quotient(t(B,A),quotient(A,B))
% Current number of equations to process: 283
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [176] quotient(t(eta(A),B),t(eta(A),C)) -> t(eta(A),quotient(B,C))
% Rule [82] quotient(t(eta(A),product(B,C)),t(eta(A),C)) -> t(eta(A),B)
% collapsed.
% Current number of equations to process: 299
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [177] difference(t(eta(A),B),t(eta(A),C)) -> t(eta(A),difference(B,C))
% Rule [83] difference(t(eta(A),B),t(eta(A),product(B,C))) -> t(eta(A),C)
% collapsed.
% Current number of equations to process: 305
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced : [178] difference(product(A,B),eta(A)) -> quotient(i(B),A)
% Current number of equations to process: 313
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [179] difference(product(i(A),B),eta(A)) -> quotient(i(B),i(A))
% Current number of equations to process: 313
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [180]
% difference(eta(A),product(A,B)) <-> quotient(difference(j(A),product(B,A)),A)
% Current number of equations to process: 313
% Current number of ordered equations: 1
% Current number of rules: 139
% New rule produced :
% [181]
% quotient(difference(j(A),product(B,A)),A) <-> difference(eta(A),product(A,B))
% Current number of equations to process: 313
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [182]
% difference(A,product(B,C)) <->
% quotient(difference(difference(B,A),product(C,B)),B)
% Current number of equations to process: 317
% Current number of ordered equations: 3
% Current number of rules: 141
% New rule produced :
% [183]
% difference(product(A,B),C) <->
% quotient(difference(B,product(difference(A,C),A)),A)
% Current number of equations to process: 317
% Current number of ordered equations: 2
% Current number of rules: 142
% New rule produced :
% [184]
% quotient(difference(B,product(difference(A,C),A)),A) <->
% difference(product(A,B),C)
% Current number of equations to process: 317
% Current number of ordered equations: 1
% Current number of rules: 143
% New rule produced :
% [185]
% quotient(difference(difference(B,A),product(C,B)),B) <->
% difference(A,product(B,C))
% Current number of equations to process: 317
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced : [186] i(product(A,B)) -> quotient(difference(B,eta(A)),A)
% Rule
% [148]
% product(i(product(A,eta(B))),A) -> quotient(eta(product(A,eta(B))),eta(B))
% collapsed.
% Current number of equations to process: 324
% Current number of ordered equations: 0
% Current number of rules: 144
% Rule [183]
% difference(product(A,B),C) <->
% quotient(difference(B,product(difference(A,C),A)),A) is composed into
% [183]
% difference(product(A,B),C) <->
% quotient(difference(B,quotient(difference(i(difference(A,C)),product(A,
% difference(A,C))),
% difference(A,C))),A)
% New rule produced :
% [187] product(A,B) <-> quotient(difference(i(A),product(B,A)),A)
% Rule [5] product(i(A),A) -> eta(A) collapsed.
% Rule [9] product(quotient(A,B),B) -> A collapsed.
% Rule [31] product(j(A),A) -> one collapsed.
% Rule [44] product(t(A,B),A) -> product(A,B) collapsed.
% Rule
% [66]
% product(i(A),j(j(A))) -> quotient(product(eta(A),x1),difference(eta(A),x1))
% collapsed.
% Rule [116] product(i(A),eta(A)) -> j(A) collapsed.
% Rule
% [123]
% product(j(A),eta(A)) ->
% difference(A,quotient(product(eta(A),x1),difference(eta(A),x1))) collapsed.
% Rule [127] product(difference(A,B),eta(A)) -> difference(A,product(B,eta(A)))
% collapsed.
% Rule [134] product(quotient(A,i(i(B))),eta(B)) -> quotient(A,B) collapsed.
% Rule [145] product(quotient(A,product(C,eta(B))),C) -> quotient(A,eta(B))
% collapsed.
% Rule [151] product(j(product(B,eta(A))),B) -> j(eta(A)) collapsed.
% Rule
% [154]
% quotient(product(t(eta(A),B),eta(eta(A))),eta(A)) ->
% t(eta(A),quotient(B,eta(A))) collapsed.
% Rule
% [159]
% product(difference(A,product(B,C)),A) ->
% product(difference(A,B),product(C,A)) collapsed.
% Rule
% [160]
% product(C,product(difference(product(A,C),B),A)) ->
% product(difference(A,B),A) collapsed.
% Rule
% [161]
% product(difference(A,eta(product(A,B))),A) ->
% product(B,product(j(product(A,B)),A)) collapsed.
% Rule
% [184]
% quotient(difference(B,product(difference(A,C),A)),A) <->
% difference(product(A,B),C) collapsed.
% Current number of equations to process: 340
% Current number of ordered equations: 1
% Current number of rules: 129
% New rule produced :
% [188]
% quotient(difference(i(quotient(A,B)),product(B,quotient(A,B))),quotient(A,B))
% -> A
% Current number of equations to process: 339
% Current number of ordered equations: 1
% Current number of rules: 130
% New rule produced :
% [189] quotient(difference(i(A),product(B,A)),A) <-> product(A,B)
% Current number of equations to process: 339
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [190]
% quotient(difference(B,eta(j(A))),j(A)) -> quotient(difference(B,eta(A)),j(A))
% Current number of equations to process: 338
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [191] quotient(difference(eta(A),product(B,A)),A) -> difference(eta(A),B)
% Current number of equations to process: 337
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [192] difference(product(A,B),j(j(A))) -> quotient(difference(B,i(i(A))),A)
% Current number of equations to process: 336
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [193] product(j(A),B) <-> quotient(difference(A,product(B,j(A))),j(A))
% Current number of equations to process: 339
% Current number of ordered equations: 1
% Current number of rules: 135
% New rule produced :
% [194] quotient(difference(A,product(B,j(A))),j(A)) <-> product(j(A),B)
% Current number of equations to process: 339
% Current number of ordered equations: 0
% Current number of rules: 136
% Rule [18] l(A,B,C) -> difference(product(A,B),product(A,product(B,C))) is composed into
% [18]
% l(A,B,C) ->
% difference(quotient(A,quotient(difference(B,A),A)),quotient(A,quotient(
% difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A)))
% New rule produced :
% [195] 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
% [12]
% product(i(i(A)),B) -> quotient(product(eta(A),B),difference(product(A,B),B))
% collapsed.
% Rule [13] product(j(j(A)),B) -> product(A,product(eta(A),B)) collapsed.
% Rule
% [15]
% product(product(eta(A),B),C) ->
% quotient(product(eta(A),B),quotient(difference(C,B),B)) collapsed.
% Rule
% [16]
% quotient(product(B,product(C,A)),A) <-> difference(A,product(product(A,B),C))
% collapsed.
% Rule
% [17]
% difference(A,product(product(A,B),C)) <-> quotient(product(B,product(C,A)),A)
% collapsed.
% Rule [19] product(t(eta(A),B),t(eta(A),C)) -> t(eta(A),product(B,C))
% collapsed.
% Rule
% [20]
% product(difference(product(A,A),product(A,product(A,B))),difference(product(A,A),
% product(A,product(A,C))))
% -> difference(product(A,A),product(A,product(A,product(B,C)))) collapsed.
% Rule
% [21]
% quotient(quotient(product(C,product(A,B)),B),A) <->
% difference(product(A,B),product(A,product(B,C))) collapsed.
% Rule
% [22]
% difference(product(A,B),product(A,product(B,C))) <->
% quotient(quotient(product(C,product(A,B)),B),A) collapsed.
% Rule [30] product(A,i(A)) -> one collapsed.
% Rule [41] product(A,eta(A)) -> j(j(A)) collapsed.
% Rule [49] quotient(product(A,product(eta(A),B)),B) -> j(j(A)) collapsed.
% Rule [51] t(A,product(B,A)) <-> difference(A,product(product(A,A),B))
% collapsed.
% Rule [52] difference(A,product(product(A,A),B)) <-> t(A,product(B,A))
% collapsed.
% Rule [55] quotient(product(A,i(i(B))),B) -> product(A,eta(B)) collapsed.
% Rule [63] quotient(product(A,product(B,eta(C))),eta(C)) -> product(A,B)
% collapsed.
% Rule
% [73]
% product(A,quotient(product(B,product(C,A)),A)) <-> product(product(A,B),C)
% collapsed.
% Rule
% [74]
% product(product(A,B),C) <-> product(A,quotient(product(B,product(C,A)),A))
% collapsed.
% Rule
% [79]
% difference(i(A),product(eta(A),B)) <->
% quotient(product(A,product(B,i(A))),i(A)) collapsed.
% Rule
% [80]
% quotient(product(A,product(B,i(A))),i(A)) <->
% difference(i(A),product(eta(A),B)) collapsed.
% Rule
% [81]
% difference(product(B,A),product(B,product(A,A))) ->
% quotient(t(A,product(B,A)),B) collapsed.
% Rule
% [84]
% difference(product(A,B),product(A,C)) <->
% quotient(difference(B,product(C,A)),A) collapsed.
% Rule
% [85]
% quotient(difference(B,product(C,A)),A) <->
% difference(product(A,B),product(A,C)) collapsed.
% Rule [95] t(eta(A),product(B,eta(A))) <-> product(eta(A),B) collapsed.
% Rule [96] product(eta(A),B) <-> t(eta(A),product(B,eta(A))) collapsed.
% Rule [98] product(B,product(i(B),A)) -> quotient(quotient(A,i(B)),B)
% collapsed.
% Rule [100] product(j(B),product(B,A)) -> quotient(quotient(A,B),j(B))
% collapsed.
% Rule [101] difference(t(A,B),product(A,B)) -> A collapsed.
% Rule [106] quotient(product(i(A),product(B,A)),A) -> difference(A,B)
% collapsed.
% Rule [107] quotient(product(A,j(j(B))),eta(B)) -> product(A,B) collapsed.
% Rule [108] quotient(product(A,B),t(A,B)) -> t(t(A,B),A) collapsed.
% Rule [109] difference(product(A,B),product(A,j(j(B)))) -> eta(B) collapsed.
% Rule [119] quotient(product(A,B),difference(eta(A),B)) -> j(j(A)) collapsed.
% Rule [120] quotient(product(A,eta(eta(A))),j(eta(A))) -> j(j(A)) collapsed.
% Rule [121] quotient(product(A,product(B,j(A))),j(A)) -> difference(j(A),B)
% collapsed.
% Rule [124] quotient(product(i(A),product(eta(A),B)),B) -> j(A) collapsed.
% Rule [125] product(A,t(A,product(B,A))) <-> product(product(A,A),B)
% collapsed.
% Rule [126] product(product(A,A),B) <-> product(A,t(A,product(B,A)))
% collapsed.
% Rule [130] quotient(product(eta(A),B),difference(C,B)) <-> product(eta(A),C)
% collapsed.
% Rule [131] product(eta(A),C) <-> quotient(product(eta(A),B),difference(C,B))
% collapsed.
% Rule
% [135]
% quotient(quotient(product(eta(A),B),difference(eta(B),B)),j(B)) ->
% product(eta(A),B) collapsed.
% Rule [136] t(A,t(A,product(B,A))) <-> quotient(product(product(A,A),B),A)
% collapsed.
% Rule [137] quotient(product(product(A,A),B),A) <-> t(A,t(A,product(B,A)))
% collapsed.
% Rule
% [138]
% product(A,quotient(t(eta(A),product(x1,eta(A))),difference(j(A),x1))) -> one
% collapsed.
% Rule
% [139]
% product(A,quotient(t(eta(A),product(x1,eta(A))),difference(eta(j(j(A))),x1)))
% -> j(j(j(j(A)))) collapsed.
% Rule [141] quotient(product(product(A,A),B),t(A,product(B,A))) -> A
% collapsed.
% Rule [142] difference(j(j(A)),product(A,B)) -> difference(eta(A),B)
% collapsed.
% Rule [143] product(A,quotient(B,eta(C))) -> quotient(product(A,B),eta(C))
% collapsed.
% Rule [144] product(product(A,B),eta(C)) -> product(A,product(B,eta(C)))
% collapsed.
% Rule [146] difference(product(A,eta(B)),product(A,i(i(B)))) -> B collapsed.
% Rule [147] product(A,i(eta(B))) -> quotient(product(A,eta(eta(B))),eta(B))
% collapsed.
% Rule [149] difference(product(B,eta(C)),product(B,product(eta(C),A))) -> A
% collapsed.
% Rule [150] product(A,j(eta(B))) -> quotient(A,eta(B)) collapsed.
% Rule [152] difference(product(A,B),product(A,product(B,eta(C)))) -> eta(C)
% collapsed.
% Rule [153] product(i(eta(A)),t(eta(A),B)) -> t(eta(A),product(j(eta(A)),B))
% collapsed.
% Rule
% [155] quotient(product(A,product(eta(B),C)),eta(B)) -> product(A,t(eta(B),C))
% collapsed.
% Rule
% [157]
% quotient(product(j(A),B),A) -> difference(A,quotient(product(eta(A),B),A))
% collapsed.
% Rule
% [158]
% product(product(A,B),quotient(C,A)) -> product(A,quotient(product(B,C),A))
% collapsed.
% Rule
% [162]
% quotient(product(difference(A,B),C),A) ->
% difference(A,product(B,quotient(C,A))) collapsed.
% Rule
% [163]
% difference(A,product(B,i(A))) -> quotient(difference(A,product(B,eta(A))),A)
% collapsed.
% Rule [164] quotient(product(A,B),j(j(A))) -> t(j(j(A)),difference(eta(A),B))
% collapsed.
% Rule [165] difference(product(A,B),A) -> quotient(difference(B,A),A)
% collapsed.
% Rule
% [166]
% t(A,quotient(product(B,product(C,A)),A)) <->
% quotient(product(product(A,B),C),A) collapsed.
% Rule
% [167]
% quotient(product(product(A,B),C),A) <->
% t(A,quotient(product(B,product(C,A)),A)) collapsed.
% Rule
% [170]
% quotient(difference(A,quotient(t(eta(A),product(x1,eta(A))),difference(
% eta(A),x1))),
% j(A)) -> t(j(A),eta(A)) collapsed.
% Rule
% [171]
% product(product(A,B),t(A,C)) ->
% product(A,quotient(product(B,product(A,C)),A)) collapsed.
% Rule
% [172]
% quotient(product(A,quotient(product(B,product(C,A)),A)),C) -> product(A,B)
% collapsed.
% Rule
% [174]
% difference(eta(A),product(i(A),product(A,A))) -> quotient(t(A,eta(A)),i(A))
% collapsed.
% Rule
% [175]
% difference(A,product(quotient(A,B),product(B,B))) ->
% quotient(t(B,A),quotient(A,B)) collapsed.
% Rule [178] difference(product(A,B),eta(A)) -> quotient(i(B),A) collapsed.
% Rule [179] difference(product(i(A),B),eta(A)) -> quotient(i(B),i(A))
% collapsed.
% Rule
% [180]
% difference(eta(A),product(A,B)) <-> quotient(difference(j(A),product(B,A)),A)
% collapsed.
% Rule
% [181]
% quotient(difference(j(A),product(B,A)),A) <-> difference(eta(A),product(A,B))
% collapsed.
% Rule
% [182]
% difference(A,product(B,C)) <->
% quotient(difference(difference(B,A),product(C,B)),B) collapsed.
% Rule
% [183]
% difference(product(A,B),C) <->
% quotient(difference(B,quotient(difference(i(difference(A,C)),product(A,
% difference(A,C))),
% difference(A,C))),A) collapsed.
% Rule
% [185]
% quotient(difference(difference(B,A),product(C,B)),B) <->
% difference(A,product(B,C)) collapsed.
% Rule [186] i(product(A,B)) -> quotient(difference(B,eta(A)),A) collapsed.
% Rule [187] product(A,B) <-> quotient(difference(i(A),product(B,A)),A)
% collapsed.
% Rule
% [188]
% quotient(difference(i(quotient(A,B)),product(B,quotient(A,B))),quotient(A,B))
% -> A collapsed.
% Rule [189] quotient(difference(i(A),product(B,A)),A) <-> product(A,B)
% collapsed.
% Rule
% [191] quotient(difference(eta(A),product(B,A)),A) -> difference(eta(A),B)
% collapsed.
% Rule
% [192] difference(product(A,B),j(j(A))) -> quotient(difference(B,i(i(A))),A)
% collapsed.
% Rule [193] product(j(A),B) <-> quotient(difference(A,product(B,j(A))),j(A))
% collapsed.
% Rule [194] quotient(difference(A,product(B,j(A))),j(A)) <-> product(j(A),B)
% collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% quotient(x0,quotient(difference(quotient(t(eta(x0),quotient(x1,quotient(
% difference(
% eta(x0),x1),x1))),
% difference(j(quotient(x1,quotient(difference(x0,x1),x1))),x1)),x0),x0)) =
% j(x1)
%
% Current number of equations to process: 429
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [196] quotient(A,quotient(difference(j(A),A),A)) -> eta(A)
% Current number of equations to process: 417
% Current number of ordered equations: 13
% Current number of rules: 47
% New rule produced :
% [197] quotient(A,quotient(difference(difference(A,B),A),A)) -> B
% Current number of equations to process: 417
% Current number of ordered equations: 12
% Current number of rules: 48
% New rule produced :
% [198] difference(A,quotient(A,quotient(difference(B,A),A))) -> B
% Current number of equations to process: 417
% Current number of ordered equations: 11
% Current number of rules: 49
% New rule produced :
% [199] quotient(quotient(A,quotient(difference(B,A),A)),B) -> A
% Current number of equations to process: 417
% Current number of ordered equations: 10
% Current number of rules: 50
% New rule produced :
% [200] quotient(quotient(A,quotient(difference(B,A),A)),A) -> t(A,B)
% Current number of equations to process: 417
% Current number of ordered equations: 9
% Current number of rules: 51
% New rule produced :
% [201]
% quotient(difference(i(quotient(A,B)),quotient(B,quotient(difference(quotient(A,B),B),B))),
% quotient(A,B)) -> A
% Current number of equations to process: 417
% Current number of ordered equations: 8
% Current number of rules: 52
% New rule produced :
% [202]
% quotient(A,quotient(difference(quotient(eta(A),quotient(difference(B,eta(A)),
% eta(A))),A),A)) ->
% quotient(j(j(A)),quotient(difference(B,j(j(A))),j(j(A))))
% Current number of equations to process: 417
% Current number of ordered equations: 7
% Current number of rules: 53
% New rule produced :
% [203]
% quotient(quotient(eta(A),quotient(difference(B,eta(A)),eta(A))),difference(
% quotient(A,
% quotient(
% difference(B,A),A)),B))
% -> quotient(i(i(A)),quotient(difference(B,i(i(A))),i(i(A))))
% Current number of equations to process: 417
% Current number of ordered equations: 6
% Current number of rules: 54
% Rule [18]
% l(A,B,C) ->
% difference(quotient(A,quotient(difference(B,A),A)),quotient(A,quotient(
% difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A))) is composed into
% [18]
% l(A,B,C) ->
% quotient(quotient(quotient(C,quotient(difference(quotient(A,quotient(
% difference(B,A),A)),C),C)),B),A)
% New rule produced :
% [204]
% 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: 417
% Current number of ordered equations: 5
% Current number of rules: 55
% New rule produced :
% [205]
% difference(A,quotient(quotient(A,quotient(difference(B,A),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: 86
% Current number of ordered equations: 620
% Current number of rules: 56
% New rule produced :
% [206]
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A)
% <->
% difference(A,quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))))
% Current number of equations to process: 112
% Current number of ordered equations: 589
% Current number of rules: 57
% New rule produced :
% [207]
% quotient(quotient(eta(A),quotient(difference(B,eta(A)),eta(A))),quotient(
% difference(C,
% quotient(
% eta(A),
% quotient(
% difference(B,
% eta(A)),
% eta(A)))),
% quotient(
% eta(A),
% quotient(
% difference(B,
% eta(A)),
% eta(A))))) ->
% quotient(quotient(eta(A),quotient(difference(B,eta(A)),eta(A))),quotient(
% difference(C,B),B))
% Current number of equations to process: 113
% Current number of ordered equations: 587
% Current number of rules: 58
% New rule produced :
% [208]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(C,B),B)),A),A),A)))
% Current number of equations to process: 13
% Current number of ordered equations: 820
% Current number of rules: 59
% New rule produced :
% [209]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(C,B),B)),A),A),A)))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% Current number of equations to process: 13
% Current number of ordered equations: 818
% Current number of rules: 60
% New rule produced : [210] eta(j(A)) -> eta(A)
% Rule
% [190]
% quotient(difference(B,eta(j(A))),j(A)) -> quotient(difference(B,eta(A)),j(A))
% collapsed.
% Current number of equations to process: 22
% Current number of ordered equations: 795
% Current number of rules: 60
% New rule produced : [211] i(eta(A)) -> j(eta(A))
% Rule [99] quotient(quotient(A,i(eta(B))),eta(B)) -> A collapsed.
% Rule [122] quotient(A,i(eta(A))) -> j(j(A)) collapsed.
% Current number of equations to process: 46
% Current number of ordered equations: 756
% Current number of rules: 59
% New rule produced : [212] difference(i(A),j(A)) -> eta(A)
% Current number of equations to process: 46
% Current number of ordered equations: 755
% Current number of rules: 60
% New rule produced : [213] quotient(j(A),eta(A)) -> i(A)
% Current number of equations to process: 57
% Current number of ordered equations: 742
% Current number of rules: 61
% New rule produced : [214] difference(A,i(A)) -> quotient(j(A),A)
% Rule [173] difference(i(A),i(i(A))) -> quotient(A,i(A)) collapsed.
% Current number of equations to process: 67
% Current number of ordered equations: 720
% Current number of rules: 61
% New rule produced : [215] quotient(A,j(eta(A))) -> j(j(A))
% Current number of equations to process: 66
% Current number of ordered equations: 720
% Current number of rules: 62
% New rule produced : [216] difference(eta(A),i(i(A))) -> A
% Current number of equations to process: 67
% Current number of ordered equations: 718
% Current number of rules: 63
% New rule produced : [217] quotient(i(A),j(A)) -> eta(A)
% Current number of equations to process: 66
% Current number of ordered equations: 718
% Current number of rules: 64
% New rule produced : [218] difference(A,quotient(A,j(A))) -> A
% Current number of equations to process: 66
% Current number of ordered equations: 717
% Current number of rules: 65
% New rule produced : [219] quotient(quotient(A,j(A)),A) -> A
% Current number of equations to process: 66
% Current number of ordered equations: 715
% Current number of rules: 66
% New rule produced : [220] t(eta(A),j(A)) -> i(i(i(A)))
% Current number of equations to process: 66
% Current number of ordered equations: 714
% Current number of rules: 67
% New rule produced : [221] t(j(A),i(A)) -> j(j(j(A)))
% Current number of equations to process: 66
% Current number of ordered equations: 713
% Current number of rules: 68
% New rule produced : [222] quotient(j(A),i(A)) -> t(i(A),eta(A))
% Current number of equations to process: 66
% Current number of ordered equations: 712
% Current number of rules: 69
% New rule produced : [223] t(eta(A),j(B)) -> j(t(eta(A),B))
% Rule [97] t(eta(A),j(j(A))) -> i(i(A)) collapsed.
% Rule [220] t(eta(A),j(A)) -> i(i(i(A))) collapsed.
% Current number of equations to process: 68
% Current number of ordered equations: 707
% Current number of rules: 68
% New rule produced : [224] j(t(eta(A),A)) -> i(i(i(A)))
% Current number of equations to process: 67
% Current number of ordered equations: 707
% Current number of rules: 69
% New rule produced : [225] t(eta(A),i(B)) -> i(t(eta(A),B))
% Current number of equations to process: 68
% Current number of ordered equations: 704
% Current number of rules: 70
% New rule produced : [226] quotient(i(i(A)),eta(A)) -> t(eta(A),A)
% Current number of equations to process: 68
% Current number of ordered equations: 703
% Current number of rules: 71
% New rule produced :
% [227] quotient(difference(j(A),A),A) -> difference(eta(A),A)
% Rule [196] quotient(A,quotient(difference(j(A),A),A)) -> eta(A) collapsed.
% Current number of equations to process: 68
% Current number of ordered equations: 691
% Current number of rules: 71
% New rule produced : [228] quotient(A,quotient(difference(i(A),A),A)) -> one
% Current number of equations to process: 69
% Current number of ordered equations: 684
% Current number of rules: 72
% New rule produced : [229] quotient(quotient(A,j(eta(B))),eta(B)) -> A
% Current number of equations to process: 68
% Current number of ordered equations: 684
% Current number of rules: 73
% New rule produced : [230] difference(t(A,eta(A)),j(j(A))) -> A
% Current number of equations to process: 68
% Current number of ordered equations: 682
% Current number of rules: 74
% New rule produced : [231] difference(i(i(i(A))),eta(A)) -> i(i(A))
% Current number of equations to process: 68
% Current number of ordered equations: 679
% Current number of rules: 75
% New rule produced :
% [232] quotient(difference(difference(B,A),B),B) -> difference(A,B)
% Rule [197] quotient(A,quotient(difference(difference(A,B),A),A)) -> B
% collapsed.
% Current number of equations to process: 68
% Current number of ordered equations: 657
% Current number of rules: 75
% New rule produced :
% [233] difference(A,quotient(A,quotient(B,A))) -> quotient(A,B)
% Rule [198] difference(A,quotient(A,quotient(difference(B,A),A))) -> B
% collapsed.
% Current number of equations to process: 68
% Current number of ordered equations: 636
% Current number of rules: 75
% New rule produced :
% [234]
% quotient(i(A),quotient(difference(quotient(eta(A),quotient(difference(B,
% eta(A)),eta(A))),
% i(A)),i(A))) ->
% quotient(j(A),quotient(difference(B,j(A)),j(A)))
% Current number of equations to process: 68
% Current number of ordered equations: 634
% Current number of rules: 76
% New rule produced : [235] difference(t(eta(A),A),i(i(A))) -> eta(A)
% Current number of equations to process: 68
% Current number of ordered equations: 633
% Current number of rules: 77
% New rule produced :
% [236] difference(eta(A),t(eta(A),B)) -> quotient(B,eta(A))
% Current number of equations to process: 68
% Current number of ordered equations: 632
% Current number of rules: 78
% New rule produced :
% [237] quotient(A,quotient(difference(eta(A),A),A)) -> j(j(A))
% Current number of equations to process: 73
% Current number of ordered equations: 625
% Current number of rules: 79
% New rule produced : [238] quotient(eta(A),i(i(i(A)))) -> i(i(i(i(A))))
% Current number of equations to process: 73
% Current number of ordered equations: 623
% Current number of rules: 80
% New rule produced :
% [239] quotient(quotient(A,quotient(B,A)),quotient(A,B)) -> A
% Current number of equations to process: 73
% Current number of ordered equations: 622
% Current number of rules: 81
% New rule produced :
% [240] quotient(quotient(A,quotient(B,A)),A) -> t(A,quotient(A,B))
% Rule [200] quotient(quotient(A,quotient(difference(B,A),A)),A) -> t(A,B)
% collapsed.
% Current number of equations to process: 73
% Current number of ordered equations: 609
% Current number of rules: 81
% New rule produced : [241] difference(i(i(i(i(A)))),eta(A)) -> i(i(i(A)))
% Current number of equations to process: 73
% Current number of ordered equations: 608
% Current number of rules: 82
% New rule produced :
% [242] quotient(eta(A),t(eta(A),B)) -> t(eta(A),quotient(eta(A),B))
% Current number of equations to process: 73
% Current number of ordered equations: 607
% Current number of rules: 83
% New rule produced :
% [243] quotient(t(eta(A),B),eta(A)) -> t(eta(A),quotient(B,eta(A)))
% Current number of equations to process: 74
% Current number of ordered equations: 605
% Current number of rules: 84
% New rule produced :
% [244] difference(t(eta(A),B),eta(A)) -> t(eta(A),difference(B,eta(A)))
% Current number of equations to process: 74
% Current number of ordered equations: 604
% Current number of rules: 85
% New rule produced :
% [245] quotient(A,quotient(difference(j(eta(B)),A),A)) -> quotient(A,eta(B))
% Current number of equations to process: 74
% Current number of ordered equations: 603
% Current number of rules: 86
% New rule produced :
% [246]
% quotient(difference(B,eta(A)),A) ->
% i(quotient(A,quotient(difference(B,A),A)))
% Current number of equations to process: 74
% Current number of ordered equations: 602
% Current number of rules: 87
% New rule produced : [247] quotient(j(j(A)),t(A,eta(A))) -> t(t(A,eta(A)),A)
% Current number of equations to process: 74
% Current number of ordered equations: 600
% Current number of rules: 88
% New rule produced : [248] quotient(eta(A),i(i(i(i(A))))) -> i(i(i(i(i(A)))))
% Current number of equations to process: 74
% Current number of ordered equations: 599
% Current number of rules: 89
% New rule produced :
% [249] quotient(i(A),quotient(quotient(j(A),A),i(A))) -> eta(A)
% Current number of equations to process: 73
% Current number of ordered equations: 599
% Current number of rules: 90
% New rule produced :
% [250] quotient(quotient(eta(A),quotient(A,eta(A))),i(A)) -> eta(A)
% Current number of equations to process: 73
% Current number of ordered equations: 598
% Current number of rules: 91
% New rule produced :
% [251] difference(t(A,B),quotient(A,quotient(difference(B,A),A))) -> A
% Current number of equations to process: 73
% Current number of ordered equations: 597
% Current number of rules: 92
% New rule produced :
% [252] quotient(i(i(A)),t(eta(A),A)) -> t(t(eta(A),A),eta(A))
% Current number of equations to process: 73
% Current number of ordered equations: 596
% Current number of rules: 93
% New rule produced :
% [253]
% difference(quotient(A,quotient(difference(B,A),A)),eta(A)) ->
% quotient(i(B),A)
% Current number of equations to process: 84
% Current number of ordered equations: 583
% Current number of rules: 94
% New rule produced :
% [254]
% difference(quotient(eta(B),quotient(difference(A,eta(B)),eta(B))),i(i(B))) ->
% quotient(difference(A,j(j(B))),eta(B))
% Current number of equations to process: 84
% Current number of ordered equations: 582
% Current number of rules: 95
% New rule produced :
% [255]
% quotient(j(eta(A)),quotient(difference(t(eta(A),B),j(eta(A))),j(eta(A)))) ->
% t(eta(A),quotient(j(eta(A)),quotient(difference(B,j(eta(A))),j(eta(A)))))
% Current number of equations to process: 83
% Current number of ordered equations: 582
% Current number of rules: 96
% New rule produced : [256] difference(t(t(A,eta(A)),A),j(j(A))) -> t(A,eta(A))
% Current number of equations to process: 83
% Current number of ordered equations: 581
% Current number of rules: 97
% New rule produced :
% [257] quotient(t(eta(A),B),j(eta(A))) -> t(eta(A),quotient(B,j(eta(A))))
% Current number of equations to process: 81
% Current number of ordered equations: 582
% Current number of rules: 98
% New rule produced :
% [258] quotient(j(eta(A)),t(eta(A),B)) -> t(eta(A),quotient(j(eta(A)),B))
% Current number of equations to process: 81
% Current number of ordered equations: 581
% Current number of rules: 99
% New rule produced :
% [259] difference(t(eta(A),B),j(eta(A))) -> t(eta(A),difference(B,j(eta(A))))
% Rule
% [255]
% quotient(j(eta(A)),quotient(difference(t(eta(A),B),j(eta(A))),j(eta(A)))) ->
% t(eta(A),quotient(j(eta(A)),quotient(difference(B,j(eta(A))),j(eta(A)))))
% collapsed.
% Current number of equations to process: 77
% Current number of ordered equations: 582
% Current number of rules: 99
% New rule produced :
% [260] difference(j(eta(A)),t(eta(A),B)) -> t(eta(A),difference(j(eta(A)),B))
% Current number of equations to process: 77
% Current number of ordered equations: 581
% Current number of rules: 100
% New rule produced :
% [261]
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(C,
% quotient(B,
% quotient(difference(A,B),B))),A))
% -> quotient(A,quotient(difference(C,A),A))
% Current number of equations to process: 75
% Current number of ordered equations: 580
% Current number of rules: 101
% New rule produced :
% [262]
% quotient(eta(A),quotient(difference(B,eta(A)),eta(A))) ->
% quotient(eta(A),i(B))
% Rule
% [202]
% quotient(A,quotient(difference(quotient(eta(A),quotient(difference(B,eta(A)),
% eta(A))),A),A)) ->
% quotient(j(j(A)),quotient(difference(B,j(j(A))),j(j(A)))) collapsed.
% Rule
% [203]
% quotient(quotient(eta(A),quotient(difference(B,eta(A)),eta(A))),difference(
% quotient(A,
% quotient(
% difference(B,A),A)),B))
% -> quotient(i(i(A)),quotient(difference(B,i(i(A))),i(i(A)))) collapsed.
% Rule
% [207]
% quotient(quotient(eta(A),quotient(difference(B,eta(A)),eta(A))),quotient(
% difference(C,
% quotient(
% eta(A),
% quotient(
% difference(B,
% eta(A)),
% eta(A)))),
% quotient(
% eta(A),
% quotient(
% difference(B,
% eta(A)),
% eta(A))))) ->
% quotient(quotient(eta(A),quotient(difference(B,eta(A)),eta(A))),quotient(
% difference(C,B),B))
% collapsed.
% Rule
% [234]
% quotient(i(A),quotient(difference(quotient(eta(A),quotient(difference(B,
% eta(A)),eta(A))),
% i(A)),i(A))) ->
% quotient(j(A),quotient(difference(B,j(A)),j(A))) collapsed.
% Rule
% [254]
% difference(quotient(eta(B),quotient(difference(A,eta(B)),eta(B))),i(i(B))) ->
% quotient(difference(A,j(j(B))),eta(B)) collapsed.
% Current number of equations to process: 188
% Current number of ordered equations: 407
% Current number of rules: 97
% New rule produced :
% [263]
% quotient(A,quotient(difference(quotient(eta(A),i(B)),A),A)) ->
% quotient(j(j(A)),quotient(difference(B,j(j(A))),j(j(A))))
% Current number of equations to process: 185
% Current number of ordered equations: 409
% Current number of rules: 98
% New rule produced :
% [264]
% quotient(quotient(eta(A),i(B)),difference(quotient(A,quotient(difference(B,A),A)),B))
% -> quotient(i(i(A)),quotient(difference(B,i(i(A))),i(i(A))))
% Current number of equations to process: 185
% Current number of ordered equations: 408
% Current number of rules: 99
% New rule produced :
% [265]
% quotient(quotient(eta(A),i(B)),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: 185
% Current number of ordered equations: 407
% Current number of rules: 100
% New rule produced :
% [266]
% difference(A,quotient(quotient(quotient(eta(A),i(B)),quotient(difference(A,B),B)),A))
% -> difference(A,quotient(eta(A),i(B)))
% Current number of equations to process: 184
% Current number of ordered equations: 407
% Current number of rules: 101
% New rule produced :
% [267]
% quotient(eta(A),i(quotient(B,quotient(difference(eta(quotient(eta(A),i(B))),B),B))))
% -> j(j(quotient(eta(A),i(B))))
% Current number of equations to process: 183
% Current number of ordered equations: 407
% Current number of rules: 102
% New rule produced :
% [268]
% quotient(difference(i(i(A)),quotient(t(eta(A),quotient(x1,quotient(difference(
% eta(A),x1),x1))),
% difference(i(A),x1))),i(A)) -> j(A)
% Current number of equations to process: 183
% Current number of ordered equations: 406
% Current number of rules: 103
% New rule produced :
% [269]
% difference(A,quotient(quotient(A,j(A)),quotient(difference(i(i(B)),quotient(A,
% j(A))),
% quotient(A,j(A))))) ->
% t(A,quotient(eta(B),quotient(quotient(i(A),B),eta(B))))
% Current number of equations to process: 182
% Current number of ordered equations: 406
% Current number of rules: 104
% New rule produced :
% [270]
% difference(A,quotient(quotient(A,j(A)),quotient(difference(j(j(B)),quotient(A,
% j(A))),
% quotient(A,j(A))))) ->
% t(A,quotient(j(j(B)),quotient(difference(A,j(j(B))),j(j(B)))))
% Current number of equations to process: 182
% Current number of ordered equations: 405
% Current number of rules: 105
% New rule produced :
% [271]
% quotient(quotient(A,quotient(difference(i(i(B)),A),A)),quotient(A,quotient(
% difference(
% eta(B),A),A)))
% -> t(quotient(A,quotient(difference(eta(B),A),A)),B)
% Current number of equations to process: 182
% Current number of ordered equations: 404
% Current number of rules: 106
% New rule produced :
% [272]
% difference(j(j(A)),quotient(A,quotient(difference(B,A),A))) ->
% difference(eta(A),B)
% Current number of equations to process: 184
% Current number of ordered equations: 401
% Current number of rules: 107
% New rule produced :
% [273]
% difference(eta(B),eta(A)) ->
% quotient(eta(quotient(A,quotient(difference(eta(B),A),A))),eta(B))
% Current number of equations to process: 184
% Current number of ordered equations: 400
% Current number of rules: 108
% New rule produced :
% [274]
% quotient(quotient(quotient(A,quotient(difference(eta(B),A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(
% eta(B),A),A))),
% quotient(A,
% quotient(
% difference(
% eta(B),A),A)))),
% eta(B)) <->
% quotient(t(quotient(A,quotient(difference(eta(B),A),A)),C),quotient(difference(A,
% t(
% quotient(A,
% quotient(
% difference(
% eta(B),A),A)),C)),
% t(quotient(A,
% quotient(
% difference(
% eta(B),A),A)),C)))
% Current number of equations to process: 184
% Current number of ordered equations: 399
% Current number of rules: 109
% New rule produced :
% [275]
% quotient(t(quotient(A,quotient(difference(eta(B),A),A)),C),quotient(difference(A,
% t(
% quotient(A,
% quotient(
% difference(
% eta(B),A),A)),C)),
% t(quotient(A,
% quotient(
% difference(
% eta(B),A),A)),C)))
% <->
% quotient(quotient(quotient(A,quotient(difference(eta(B),A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(
% eta(B),A),A))),
% quotient(A,
% quotient(
% difference(
% eta(B),A),A)))),
% eta(B))
% Current number of equations to process: 184
% Current number of ordered equations: 398
% Current number of rules: 110
% New rule produced :
% [276]
% quotient(quotient(A,quotient(difference(quotient(B,quotient(difference(
% eta(C),B),B)),A),A)),
% quotient(A,quotient(difference(B,A),A))) ->
% t(quotient(A,quotient(difference(B,A),A)),eta(C))
% Current number of equations to process: 184
% Current number of ordered equations: 397
% Current number of rules: 111
% New rule produced :
% [277]
% difference(i(A),quotient(quotient(eta(A),i(B)),i(A))) <->
% quotient(quotient(A,quotient(difference(B,A),A)),i(A))
% Current number of equations to process: 183
% Current number of ordered equations: 398
% Current number of rules: 112
% New rule produced :
% [278]
% quotient(quotient(A,quotient(difference(B,A),A)),i(A)) <->
% difference(i(A),quotient(quotient(eta(A),i(B)),i(A)))
% Current number of equations to process: 185
% Current number of ordered equations: 395
% Current number of rules: 113
% New rule produced :
% [279]
% quotient(A,quotient(difference(quotient(B,quotient(difference(i(A),B),B)),A),A))
% ->
% quotient(difference(i(A),quotient(eta(A),i(B))),quotient(difference(i(A),
% difference(i(A),
% quotient(eta(A),
% i(B)))),difference(
% i(A),
% quotient(
% eta(A),
% i(B)))))
% Current number of equations to process: 184
% Current number of ordered equations: 395
% Current number of rules: 114
% New rule produced :
% [280]
% difference(j(A),quotient(B,quotient(difference(A,B),B))) ->
% quotient(quotient(difference(j(A),B),quotient(difference(eta(A),difference(
% j(A),B)),
% difference(j(A),B))),j(A))
% Current number of equations to process: 186
% Current number of ordered equations: 392
% Current number of rules: 115
% New rule produced :
% [281]
% difference(quotient(eta(B),i(A)),i(i(B))) ->
% quotient(difference(A,j(j(B))),eta(B))
% Current number of equations to process: 184
% Current number of ordered equations: 392
% Current number of rules: 116
% New rule produced :
% [282] quotient(quotient(eta(A),quotient(i(A),eta(A))),i(i(A))) -> eta(A)
% Current number of equations to process: 184
% Current number of ordered equations: 391
% Current number of rules: 117
% New rule produced :
% [283]
% quotient(quotient(A,quotient(difference(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(
% eta(B),C),C)),B),B)),A),A)),
% eta(B)) ->
% quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A))
% Current number of equations to process: 183
% Current number of ordered equations: 390
% Current number of rules: 118
% New rule produced :
% [284]
% difference(eta(B),quotient(i(B),quotient(difference(quotient(B,quotient(
% difference(A,B),B)),
% i(B)),i(B)))) ->
% quotient(quotient(quotient(A,quotient(difference(eta(B),A),A)),B),i(B))
% Current number of equations to process: 183
% Current number of ordered equations: 388
% Current number of rules: 119
% New rule produced :
% [285]
% difference(B,quotient(C,quotient(difference(quotient(difference(C,B),
% quotient(difference(A,difference(C,B)),
% difference(C,B))),C),C))) ->
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),difference(C,B)),C)
% Current number of equations to process: 183
% Current number of ordered equations: 386
% Current number of rules: 120
% New rule produced :
% [286]
% difference(B,quotient(quotient(B,C),quotient(difference(quotient(C,quotient(
% difference(A,C),C)),
% quotient(B,C)),quotient(B,C))))
% ->
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),C),quotient(B,C))
% Current number of equations to process: 183
% Current number of ordered equations: 384
% Current number of rules: 121
% New rule produced :
% [287]
% difference(eta(B),quotient(B,quotient(difference(quotient(j(B),quotient(
% difference(A,
% j(B)),
% j(B))),B),B)))
% -> quotient(quotient(quotient(A,quotient(difference(eta(B),A),A)),j(B)),B)
% Current number of equations to process: 183
% Current number of ordered equations: 382
% Current number of rules: 122
% New rule produced :
% [288]
% quotient(t(eta(A),quotient(x1,quotient(difference(eta(A),x1),x1))),difference(
% quotient(A,
% quotient(
% difference(
% i(
% i(i(A))),A),A)),x1))
% -> one
% Current number of equations to process: 183
% Current number of ordered equations: 381
% Current number of rules: 123
% New rule produced :
% [289]
% quotient(quotient(quotient(A,quotient(difference(B,A),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))
% -> A
% Current number of equations to process: 183
% Current number of ordered equations: 378
% Current number of rules: 124
% New rule produced :
% [290]
% difference(difference(A,quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(C,quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))),quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)))
% -> A
% Current number of equations to process: 183
% Current number of ordered equations: 375
% Current number of rules: 125
% New rule produced :
% [291]
% t(eta(A),quotient(B,quotient(difference(difference(eta(A),C),B),B))) ->
% quotient(t(eta(A),B),quotient(difference(quotient(C,eta(A)),t(eta(A),B)),
% t(eta(A),B)))
% Current number of equations to process: 183
% Current number of ordered equations: 374
% Current number of rules: 126
% New rule produced :
% [292]
% quotient(quotient(A,eta(B)),quotient(difference(t(eta(B),C),quotient(A,
% eta(B))),
% quotient(A,eta(B)))) ->
% t(eta(B),quotient(difference(eta(B),A),quotient(difference(C,difference(
% eta(B),A)),
% difference(eta(B),A))))
% Current number of equations to process: 183
% Current number of ordered equations: 373
% Current number of rules: 127
% New rule produced :
% [293] quotient(quotient(A,quotient(difference(B,A),A)),t(A,B)) -> t(t(A,B),A)
% Current number of equations to process: 183
% Current number of ordered equations: 371
% Current number of rules: 128
% New rule produced :
% [294]
% quotient(quotient(A,quotient(difference(B,A),A)),difference(eta(A),B)) ->
% j(j(A))
% Current number of equations to process: 183
% Current number of ordered equations: 370
% Current number of rules: 129
% New rule produced :
% [295]
% t(eta(A),quotient(B,quotient(difference(quotient(C,quotient(difference(
% eta(A),C),C)),B),B)))
% ->
% quotient(t(eta(A),B),quotient(difference(quotient(eta(A),i(C)),t(eta(A),B)),
% t(eta(A),B)))
% Current number of equations to process: 180
% Current number of ordered equations: 371
% Current number of rules: 130
% New rule produced :
% [296]
% quotient(eta(A),i(quotient(B,quotient(difference(t(eta(A),C),B),B)))) ->
% t(eta(A),quotient(quotient(B,quotient(difference(eta(A),B),B)),quotient(
% difference(C,
% quotient(B,
% quotient(
% difference(
% eta(A),B),B))),
% quotient(B,
% quotient(
% difference(
% eta(A),B),B)))))
% Current number of equations to process: 180
% Current number of ordered equations: 370
% Current number of rules: 131
% New rule produced :
% [297]
% difference(quotient(A,quotient(difference(B,A),A)),quotient(A,quotient(
% difference(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),A),A)))
% -> C
% Current number of equations to process: 180
% Current number of ordered equations: 369
% Current number of rules: 132
% New rule produced :
% [298]
% quotient(A,quotient(difference(quotient(quotient(B,quotient(difference(
% t(B,quotient(A,
% quotient(
% difference(B,A),A))),B),B)),A),A),A))
% -> quotient(A,quotient(difference(quotient(B,j(B)),A),A))
% Current number of equations to process: 180
% Current number of ordered equations: 368
% Current number of rules: 133
% New rule produced :
% [299]
% difference(eta(A),quotient(A,quotient(difference(quotient(j(A),j(j(A))),A),A)))
% -> quotient(t(j(A),eta(A)),A)
% Current number of equations to process: 180
% Current number of ordered equations: 367
% Current number of rules: 134
% New rule produced :
% [300]
% difference(quotient(A,quotient(difference(B,A),A)),quotient(quotient(A,
% quotient(
% difference(C,A),A)),
% quotient(difference(V_3,
% quotient(A,
% quotient(
% difference(C,A),A))),
% quotient(A,quotient(
% difference(C,A),A)))))
% <->
% quotient(difference(B,quotient(C,quotient(difference(quotient(V_3,quotient(
% difference(A,V_3),V_3)),C),C))),A)
% Current number of equations to process: 181
% Current number of ordered equations: 365
% Current number of rules: 135
% New rule produced :
% [301]
% quotient(difference(B,quotient(C,quotient(difference(quotient(V_3,quotient(
% difference(A,V_3),V_3)),C),C))),A)
% <->
% difference(quotient(A,quotient(difference(B,A),A)),quotient(quotient(A,
% quotient(
% difference(C,A),A)),
% quotient(difference(V_3,
% quotient(A,
% quotient(
% difference(C,A),A))),
% quotient(A,quotient(
% difference(C,A),A)))))
% Current number of equations to process: 181
% Current number of ordered equations: 364
% Current number of rules: 136
% New rule produced :
% [302]
% difference(difference(quotient(A,quotient(difference(B,A),A)),quotient(A,
% quotient(
% difference(C,A),A))),
% difference(B,quotient(C,quotient(difference(A,C),C)))) -> A
% Current number of equations to process: 181
% Current number of ordered equations: 363
% Current number of rules: 137
% New rule produced :
% [303]
% difference(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),
% quotient(B,quotient(difference(C,B),B))) ->
% quotient(quotient(difference(A,quotient(B,quotient(difference(C,B),B))),C),B)
% Current number of equations to process: 184
% Current number of ordered equations: 358
% Current number of rules: 138
% New rule produced :
% [304] difference(t(t(quotient(A,B),B),quotient(A,B)),A) -> t(quotient(A,B),B)
% Current number of equations to process: 184
% Current number of ordered equations: 357
% Current number of rules: 139
% New rule produced :
% [305]
% t(eta(A),quotient(B,difference(eta(A),C))) <->
% quotient(t(eta(A),B),quotient(C,eta(A)))
% Current number of equations to process: 184
% Current number of ordered equations: 356
% Current number of rules: 140
% Rule [292]
% quotient(quotient(A,eta(B)),quotient(difference(t(eta(B),C),quotient(A,
% eta(B))),
% quotient(A,eta(B)))) ->
% t(eta(B),quotient(difference(eta(B),A),quotient(difference(C,difference(
% eta(B),A)),
% difference(eta(B),A)))) is composed into
% [292]
% quotient(quotient(A,eta(B)),quotient(difference(t(eta(B),C),quotient(A,
% eta(B))),
% quotient(A,eta(B)))) ->
% quotient(quotient(A,eta(B)),t(eta(B),quotient(difference(C,difference(
% eta(B),A)),
% difference(eta(B),A))))
% New rule produced :
% [306]
% t(eta(B),quotient(difference(eta(B),A),C)) ->
% quotient(quotient(A,eta(B)),t(eta(B),C))
% Current number of equations to process: 184
% Current number of ordered equations: 355
% Current number of rules: 141
% New rule produced :
% [307]
% quotient(t(eta(A),B),quotient(C,eta(A))) <->
% t(eta(A),quotient(B,difference(eta(A),C)))
% Current number of equations to process: 184
% Current number of ordered equations: 354
% Current number of rules: 142
% New rule produced :
% [308] quotient(t(eta(A),B),j(j(eta(A)))) -> t(eta(A),quotient(B,eta(A)))
% Current number of equations to process: 182
% Current number of ordered equations: 355
% Current number of rules: 143
% New rule produced :
% [309] quotient(j(j(eta(A))),t(eta(A),B)) -> t(eta(A),quotient(eta(A),B))
% Current number of equations to process: 182
% Current number of ordered equations: 354
% Current number of rules: 144
% New rule produced :
% [310]
% t(eta(B),difference(difference(eta(B),A),C)) ->
% difference(quotient(A,eta(B)),t(eta(B),C))
% Current number of equations to process: 182
% Current number of ordered equations: 353
% Current number of rules: 145
% New rule produced :
% [311]
% difference(t(eta(A),B),quotient(C,eta(A))) ->
% t(eta(A),difference(B,difference(eta(A),C)))
% Rule
% [292]
% quotient(quotient(A,eta(B)),quotient(difference(t(eta(B),C),quotient(A,
% eta(B))),
% quotient(A,eta(B)))) ->
% quotient(quotient(A,eta(B)),t(eta(B),quotient(difference(C,difference(
% eta(B),A)),
% difference(eta(B),A)))) collapsed.
% Current number of equations to process: 182
% Current number of ordered equations: 352
% Current number of rules: 145
% New rule produced :
% [312] difference(t(eta(A),B),j(j(eta(A)))) -> t(eta(A),difference(B,eta(A)))
% Current number of equations to process: 180
% Current number of ordered equations: 353
% Current number of rules: 146
% New rule produced :
% [313] difference(j(j(eta(A))),t(eta(A),B)) -> quotient(B,eta(A))
% Current number of equations to process: 180
% Current number of ordered equations: 352
% Current number of rules: 147
% New rule produced :
% [314] quotient(quotient(A,quotient(quotient(A,B),A)),t(quotient(A,B),B)) -> A
% Current number of equations to process: 180
% Current number of ordered equations: 351
% Current number of rules: 148
% New rule produced :
% [315] quotient(quotient(j(j(A)),quotient(eta(A),j(j(A)))),A) -> j(j(A))
% Current number of equations to process: 180
% Current number of ordered equations: 350
% Current number of rules: 149
% New rule produced :
% [316]
% quotient(quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B)),C) ->
% quotient(eta(A),i(B))
% Rule
% [266]
% difference(A,quotient(quotient(quotient(eta(A),i(B)),quotient(difference(A,B),B)),A))
% -> difference(A,quotient(eta(A),i(B))) collapsed.
% Current number of equations to process: 179
% Current number of ordered equations: 350
% Current number of rules: 149
% New rule produced :
% [317]
% quotient(quotient(eta(A),i(quotient(B,quotient(difference(C,B),B)))),
% quotient(eta(A),i(B))) -> t(quotient(eta(A),i(B)),C)
% Current number of equations to process: 178
% Current number of ordered equations: 350
% Current number of rules: 150
% New rule produced :
% [318]
% quotient(quotient(quotient(j(quotient(B,quotient(difference(A,B),B))),
% quotient(difference(quotient(B,quotient(difference(A,B),B)),
% j(quotient(B,quotient(difference(A,B),B)))),
% j(quotient(B,quotient(difference(A,B),B))))),A),B) ->
% quotient(j(A),B)
% Current number of equations to process: 178
% Current number of ordered equations: 349
% Current number of rules: 151
% New rule produced :
% [319]
% quotient(difference(j(B),quotient(quotient(j(B),quotient(difference(B,j(B)),
% j(B))),quotient(difference(A,
% quotient(
% j(B),
% quotient(
% difference(B,
% j(B)),
% j(B)))),
% quotient(j(B),
% quotient(difference(B,
% j(B)),
% j(B)))))),A) ->
% quotient(difference(j(B),A),A)
% Current number of equations to process: 178
% Current number of ordered equations: 348
% Current number of rules: 152
% New rule produced :
% [320]
% difference(A,quotient(quotient(A,j(A)),quotient(difference(quotient(eta(B),
% i(C)),quotient(A,
% j(A))),
% quotient(A,j(A))))) ->
% t(A,quotient(eta(B),i(quotient(C,quotient(difference(A,C),C)))))
% Current number of equations to process: 176
% Current number of ordered equations: 348
% Current number of rules: 153
% New rule produced :
% [321]
% quotient(quotient(eta(A),i(quotient(eta(B),quotient(quotient(i(C),B),eta(B))))),C)
% -> quotient(eta(A),i(i(i(B))))
% Current number of equations to process: 175
% Current number of ordered equations: 348
% Current number of rules: 154
% New rule produced :
% [322]
% quotient(quotient(eta(A),i(quotient(j(j(B)),quotient(difference(C,j(j(B))),
% j(j(B)))))),C) ->
% quotient(eta(A),j(B))
% Current number of equations to process: 174
% Current number of ordered equations: 348
% Current number of rules: 155
% New rule produced :
% [323]
% quotient(difference(eta(A),quotient(B,quotient(difference(A,B),B))),A) ->
% difference(eta(A),B)
% Current number of equations to process: 171
% Current number of ordered equations: 347
% Current number of rules: 156
% New rule produced :
% [324] t(t(eta(A),B),t(eta(A),difference(B,C))) -> t(eta(A),quotient(C,B))
% Current number of equations to process: 171
% Current number of ordered equations: 346
% Current number of rules: 157
% New rule produced :
% [325] quotient(i(i(B)),quotient(difference(difference(i(i(B)),A),B),B)) -> A
% Current number of equations to process: 170
% Current number of ordered equations: 345
% Current number of rules: 158
% New rule produced :
% [326]
% quotient(B,quotient(difference(quotient(i(i(B)),difference(difference(
% j(j(B)),A),B)),B),B))
% -> A
% Current number of equations to process: 170
% Current number of ordered equations: 344
% Current number of rules: 159
% New rule produced :
% [327]
% quotient(quotient(eta(C),i(B)),difference(quotient(difference(eta(C),A),
% quotient(difference(B,difference(
% eta(C),A)),
% difference(eta(C),A))),B)) ->
% quotient(A,quotient(difference(B,A),A))
% Current number of equations to process: 169
% Current number of ordered equations: 344
% Current number of rules: 160
% New rule produced :
% [328]
% quotient(quotient(eta(A),i(B)),difference(quotient(j(eta(A)),quotient(
% difference(B,
% j(eta(A))),
% j(eta(A)))),B))
% -> quotient(eta(eta(A)),i(B))
% Current number of equations to process: 168
% Current number of ordered equations: 344
% Current number of rules: 161
% New rule produced :
% [329]
% difference(C,quotient(quotient(C,quotient(difference(A,C),C)),quotient(
% difference(
% i(i(B)),
% quotient(C,
% quotient(
% difference(A,C),C))),
% quotient(C,
% quotient(
% difference(A,C),C)))))
% <->
% quotient(quotient(A,quotient(difference(quotient(eta(B),quotient(quotient(
% i(C),B),
% eta(B))),A),A)),C)
% Current number of equations to process: 165
% Current number of ordered equations: 346
% Current number of rules: 162
% New rule produced :
% [330]
% difference(C,quotient(quotient(C,quotient(difference(i(i(A)),C),C)),quotient(
% difference(B,
% quotient(C,
% quotient(
% difference(
% i(
% i(A)),C),C))),
% quotient(C,
% quotient(
% difference(
% i(
% i(A)),C),C)))))
% ->
% quotient(quotient(eta(A),quotient(quotient(i(quotient(B,quotient(difference(C,B),B))),A),
% eta(A))),C)
% Current number of equations to process: 165
% Current number of ordered equations: 345
% Current number of rules: 163
% New rule produced :
% [331]
% quotient(quotient(A,quotient(difference(quotient(eta(B),quotient(quotient(
% i(C),B),
% eta(B))),A),A)),C)
% <->
% difference(C,quotient(quotient(C,quotient(difference(A,C),C)),quotient(
% difference(
% i(i(B)),
% quotient(C,
% quotient(
% difference(A,C),C))),
% quotient(C,
% quotient(
% difference(A,C),C)))))
% Current number of equations to process: 165
% Current number of ordered equations: 344
% Current number of rules: 164
% New rule produced :
% [332]
% difference(quotient(A,B),quotient(quotient(quotient(A,B),quotient(difference(B,
% quotient(A,B)),
% quotient(A,B))),
% quotient(difference(C,quotient(quotient(A,B),
% quotient(difference(B,
% quotient(A,B)),
% quotient(A,B)))),quotient(
% quotient(A,B),
% quotient(
% difference(B,
% quotient(A,B)),
% quotient(A,B))))))
% -> difference(quotient(A,B),quotient(A,quotient(difference(C,A),A)))
% Current number of equations to process: 166
% Current number of ordered equations: 342
% Current number of rules: 165
% New rule produced :
% [333]
% quotient(quotient(quotient(quotient(C,quotient(difference(quotient(A,
% quotient(difference(B,A),A)),C),C)),B),A),
% quotient(difference(A,quotient(quotient(quotient(C,quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B),A)),
% quotient(quotient(quotient(C,quotient(difference(quotient(A,quotient(
% difference(B,A),A)),C),C)),B),A)))
% ->
% quotient(quotient(C,quotient(difference(quotient(A,quotient(difference(B,A),A)),C),C)),B)
% Current number of equations to process: 166
% Current number of ordered equations: 341
% Current number of rules: 166
% New rule produced :
% [334]
% difference(quotient(i(quotient(A,quotient(difference(B,A),A))),quotient(
% difference(A,
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),
% eta(quotient(A,quotient(difference(B,A),A)))) ->
% quotient(i(A),i(quotient(A,quotient(difference(B,A),A))))
% Current number of equations to process: 166
% Current number of ordered equations: 340
% Current number of rules: 167
% New rule produced :
% [335]
% quotient(quotient(eta(A),i(B)),difference(t(eta(A),B),B)) ->
% t(eta(A),quotient(eta(A),i(B)))
% Current number of equations to process: 165
% Current number of ordered equations: 340
% Current number of rules: 168
% New rule produced :
% [336]
% quotient(quotient(eta(A),i(B)),quotient(difference(i(quotient(eta(A),i(B))),B),B))
% -> one
% Current number of equations to process: 164
% Current number of ordered equations: 340
% Current number of rules: 169
% New rule produced :
% [337]
% i(quotient(j(quotient(A,quotient(difference(B,A),A))),quotient(difference(A,
% j(quotient(A,
% quotient(
% difference(B,A),A)))),
% j(quotient(A,quotient(
% difference(B,A),A))))))
% ->
% quotient(difference(A,eta(quotient(A,quotient(difference(B,A),A)))),j(
% quotient(A,
% quotient(
% difference(B,A),A))))
% Current number of equations to process: 164
% Current number of ordered equations: 339
% Current number of rules: 170
% New rule produced :
% [338]
% quotient(quotient(A,quotient(difference(eta(eta(A)),A),A)),j(eta(A))) ->
% j(j(A))
% Current number of equations to process: 164
% Current number of ordered equations: 338
% Current number of rules: 171
% New rule produced :
% [339]
% quotient(quotient(quotient(eta(A),j(eta(A))),A),j(A)) ->
% quotient(eta(A),j(eta(A)))
% Current number of equations to process: 163
% Current number of ordered equations: 338
% Current number of rules: 172
% New rule produced :
% [340]
% quotient(quotient(eta(A),i(quotient(eta(B),i(quotient(C,quotient(difference(V_3,C),C)))))),V_3)
% -> quotient(eta(A),i(quotient(eta(B),i(C))))
% Current number of equations to process: 162
% Current number of ordered equations: 338
% Current number of rules: 173
% New rule produced :
% [341]
% difference(eta(A),quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B)))
% -> quotient(B,quotient(difference(C,B),B))
% Current number of equations to process: 161
% Current number of ordered equations: 338
% Current number of rules: 174
% New rule produced :
% [342]
% difference(quotient(A,B),quotient(A,quotient(difference(quotient(C,quotient(A,B)),A),A)))
% -> quotient(quotient(B,quotient(difference(C,B),B)),quotient(A,B))
% Current number of equations to process: 161
% Current number of ordered equations: 337
% Current number of rules: 175
% New rule produced :
% [343]
% quotient(B,quotient(difference(quotient(C,quotient(difference(quotient(A,B),C),C)),B),B))
% ->
% quotient(difference(quotient(A,B),quotient(A,quotient(difference(C,A),A))),
% quotient(difference(quotient(A,B),difference(quotient(A,B),quotient(A,
% quotient(difference(C,A),A)))),
% difference(quotient(A,B),quotient(A,quotient(difference(C,A),A)))))
% Current number of equations to process: 161
% Current number of ordered equations: 336
% Current number of rules: 176
% New rule produced :
% [344]
% difference(difference(A,B),quotient(C,quotient(difference(A,C),C))) ->
% quotient(quotient(difference(difference(A,B),C),quotient(difference(B,
% difference(difference(A,B),C)),
% difference(difference(A,B),C))),
% difference(A,B))
% Current number of equations to process: 163
% Current number of ordered equations: 333
% Current number of rules: 177
% New rule produced :
% [345]
% difference(quotient(i(quotient(A,j(A))),quotient(difference(A,i(quotient(A,
% j(A)))),
% i(quotient(A,j(A))))),eta(quotient(A,
% j(A)))) ->
% quotient(i(A),i(quotient(A,j(A))))
% Current number of equations to process: 163
% Current number of ordered equations: 332
% Current number of rules: 178
% New rule produced :
% [346]
% difference(A,quotient(B,quotient(difference(quotient(difference(B,A),
% j(difference(B,A))),B),B))) ->
% quotient(t(difference(B,A),A),B)
% Current number of equations to process: 163
% Current number of ordered equations: 331
% Current number of rules: 179
% New rule produced :
% [347]
% i(quotient(j(quotient(A,j(A))),quotient(difference(A,j(quotient(A,j(A)))),
% j(quotient(A,j(A)))))) ->
% quotient(difference(A,eta(quotient(A,j(A)))),j(quotient(A,j(A))))
% Current number of equations to process: 163
% Current number of ordered equations: 330
% Current number of rules: 180
% New rule produced :
% [348]
% quotient(quotient(A,quotient(difference(quotient(B,j(B)),A),A)),quotient(
% t(B,quotient(A,
% quotient(
% difference(B,A),A))),A))
% -> quotient(A,quotient(difference(B,A),A))
% Current number of equations to process: 163
% Current number of ordered equations: 329
% Current number of rules: 181
% New rule produced :
% [349]
% difference(eta(A),quotient(i(A),quotient(difference(B,i(A)),i(A)))) ->
% quotient(quotient(difference(A,quotient(B,quotient(difference(eta(A),B),B))),A),
% i(A))
% Rule
% [284]
% difference(eta(B),quotient(i(B),quotient(difference(quotient(B,quotient(
% difference(A,B),B)),
% i(B)),i(B)))) ->
% quotient(quotient(quotient(A,quotient(difference(eta(B),A),A)),B),i(B))
% collapsed.
% Current number of equations to process: 167
% Current number of ordered equations: 325
% Current number of rules: 181
% New rule produced :
% [350]
% difference(A,quotient(quotient(A,B),quotient(difference(C,quotient(A,B)),
% quotient(A,B)))) <->
% quotient(difference(B,quotient(C,quotient(difference(quotient(A,B),C),C))),
% quotient(A,B))
% Current number of equations to process: 172
% Current number of ordered equations: 319
% Current number of rules: 182
% New rule produced :
% [351]
% quotient(difference(B,quotient(C,quotient(difference(quotient(A,B),C),C))),
% quotient(A,B)) <->
% difference(A,quotient(quotient(A,B),quotient(difference(C,quotient(A,B)),
% quotient(A,B))))
% Current number of equations to process: 172
% Current number of ordered equations: 318
% Current number of rules: 183
% New rule produced :
% [352]
% difference(quotient(quotient(A,B),quotient(difference(C,quotient(A,B)),
% quotient(A,B))),A) ->
% quotient(difference(C,quotient(B,quotient(difference(quotient(A,B),B),B))),
% quotient(A,B))
% Current number of equations to process: 178
% Current number of ordered equations: 311
% Current number of rules: 184
% New rule produced :
% [353]
% difference(quotient(A,quotient(difference(B,A),A)),j(j(A))) ->
% quotient(difference(B,i(i(A))),A)
% Current number of equations to process: 179
% Current number of ordered equations: 309
% Current number of rules: 185
% New rule produced :
% [354]
% t(quotient(A,quotient(difference(B,A),A)),quotient(difference(B,quotient(C,
% quotient(
% difference(A,C),C))),A))
% <->
% quotient(quotient(A,quotient(difference(C,A),A)),quotient(A,quotient(
% difference(B,A),A)))
% Current number of equations to process: 179
% Current number of ordered equations: 308
% Current number of rules: 186
% New rule produced :
% [355]
% quotient(quotient(A,quotient(difference(C,A),A)),quotient(A,quotient(
% difference(B,A),A)))
% <->
% t(quotient(A,quotient(difference(B,A),A)),quotient(difference(B,quotient(C,
% quotient(
% difference(A,C),C))),A))
% Current number of equations to process: 180
% Current number of ordered equations: 306
% Current number of rules: 187
% New rule produced :
% [356]
% difference(quotient(C,quotient(difference(A,C),C)),quotient(C,quotient(
% difference(
% j(j(B)),C),C)))
% ->
% quotient(difference(A,quotient(j(j(B)),quotient(difference(C,j(j(B))),
% j(j(B))))),C)
% Current number of equations to process: 181
% Current number of ordered equations: 304
% Current number of rules: 188
% New rule produced :
% [357]
% t(eta(A),quotient(quotient(B,quotient(difference(eta(eta(A)),B),B)),eta(A)))
% -> t(eta(A),quotient(B,eta(A)))
% Current number of equations to process: 180
% Current number of ordered equations: 304
% Current number of rules: 189
% New rule produced : [358] quotient(quotient(A,i(A)),A) -> j(j(A))
% Current number of equations to process: 179
% Current number of ordered equations: 304
% Current number of rules: 190
% New rule produced :
% [359]
% quotient(A,quotient(difference(quotient(t(eta(A),quotient(x1,quotient(
% difference(
% eta(A),x1),x1))),
% difference(j(j(j(A))),x1)),A),A)) -> eta(A)
% Current number of equations to process: 178
% Current number of ordered equations: 304
% Current number of rules: 191
% New rule produced :
% [360]
% difference(V_3,quotient(quotient(V_3,quotient(difference(quotient(eta(A),
% i(B)),V_3),V_3)),
% quotient(difference(C,quotient(V_3,quotient(difference(
% quotient(eta(A),
% i(B)),V_3),V_3))),
% quotient(V_3,quotient(difference(quotient(eta(A),i(B)),V_3),V_3)))))
% <->
% quotient(quotient(eta(A),i(quotient(B,quotient(difference(quotient(C,
% quotient(difference(V_3,C),C)),B),B)))),V_3)
% Current number of equations to process: 174
% Current number of ordered equations: 307
% Current number of rules: 192
% New rule produced :
% [361]
% difference(V_3,quotient(quotient(V_3,quotient(difference(A,V_3),V_3)),
% quotient(difference(quotient(eta(B),i(C)),quotient(V_3,
% quotient(difference(A,V_3),V_3))),
% quotient(V_3,quotient(difference(A,V_3),V_3))))) <->
% quotient(quotient(A,quotient(difference(quotient(eta(B),i(quotient(C,
% quotient(difference(V_3,C),C)))),A),A)),V_3)
% Current number of equations to process: 174
% Current number of ordered equations: 306
% Current number of rules: 193
% New rule produced :
% [362]
% quotient(quotient(eta(A),i(quotient(B,quotient(difference(quotient(C,
% quotient(difference(V_3,C),C)),B),B)))),V_3)
% <->
% difference(V_3,quotient(quotient(V_3,quotient(difference(quotient(eta(A),
% i(B)),V_3),V_3)),
% quotient(difference(C,quotient(V_3,quotient(difference(
% quotient(eta(A),
% i(B)),V_3),V_3))),
% quotient(V_3,quotient(difference(quotient(eta(A),i(B)),V_3),V_3)))))
% Current number of equations to process: 174
% Current number of ordered equations: 305
% Current number of rules: 194
% New rule produced :
% [363]
% quotient(quotient(A,quotient(difference(quotient(eta(B),i(quotient(C,
% quotient(difference(V_3,C),C)))),A),A)),V_3)
% <->
% difference(V_3,quotient(quotient(V_3,quotient(difference(A,V_3),V_3)),
% quotient(difference(quotient(eta(B),i(C)),quotient(V_3,
% quotient(difference(A,V_3),V_3))),
% quotient(V_3,quotient(difference(A,V_3),V_3)))))
% Current number of equations to process: 174
% Current number of ordered equations: 304
% Current number of rules: 195
% New rule produced :
% [364]
% quotient(quotient(A,quotient(difference(i(i(B)),A),A)),B) ->
% quotient(A,quotient(difference(eta(B),A),A))
% Current number of equations to process: 174
% Current number of ordered equations: 303
% Current number of rules: 196
% Rule [291]
% t(eta(A),quotient(B,quotient(difference(difference(eta(A),C),B),B))) ->
% quotient(t(eta(A),B),quotient(difference(quotient(C,eta(A)),t(eta(A),B)),
% t(eta(A),B))) is composed into [291]
% t(eta(A),quotient(B,
% quotient(
% difference(
% difference(
% eta(A),C),B),B)))
% ->
% quotient(quotient(
% t(eta(A),B),
% quotient(
% difference(C,
% t(eta(A),B)),
% t(eta(A),B))),
% eta(A))
% New rule produced :
% [365]
% quotient(A,quotient(difference(quotient(B,eta(C)),A),A)) ->
% quotient(quotient(A,quotient(difference(B,A),A)),eta(C))
% Current number of equations to process: 174
% Current number of ordered equations: 302
% Current number of rules: 197
% New rule produced :
% [366]
% t(j(j(A)),difference(eta(A),B)) <->
% quotient(quotient(A,quotient(difference(B,A),A)),j(j(A)))
% Current number of equations to process: 174
% Current number of ordered equations: 301
% Current number of rules: 198
% New rule produced :
% [367]
% quotient(quotient(A,quotient(difference(B,A),A)),j(j(A))) <->
% t(j(j(A)),difference(eta(A),B))
% Current number of equations to process: 174
% Current number of ordered equations: 300
% Current number of rules: 199
% New rule produced :
% [368] t(t(eta(A),quotient(B,C)),t(eta(A),C)) -> t(eta(A),t(quotient(B,C),C))
% Current number of equations to process: 173
% Current number of ordered equations: 297
% Current number of rules: 200
% New rule produced :
% [369]
% quotient(difference(i(t(A,B)),quotient(A,quotient(difference(t(A,B),A),A))),
% t(A,B)) -> quotient(A,quotient(difference(B,A),A))
% Current number of equations to process: 175
% Current number of ordered equations: 293
% Current number of rules: 201
% New rule produced :
% [370]
% difference(quotient(eta(A),i(B)),quotient(quotient(eta(A),i(B)),quotient(
% difference(C,B),B)))
% -> C
% Current number of equations to process: 174
% Current number of ordered equations: 293
% Current number of rules: 202
% New rule produced :
% [371]
% quotient(i(i(B)),difference(quotient(C,quotient(difference(difference(
% quotient(eta(B),
% i(C)),A),C),C)),B))
% -> A
% Current number of equations to process: 173
% Current number of ordered equations: 293
% Current number of rules: 203
% New rule produced : [372] t(t(eta(A),B),t(eta(A),C)) -> t(eta(A),t(B,C))
% Rule
% [324] t(t(eta(A),B),t(eta(A),difference(B,C))) -> t(eta(A),quotient(C,B))
% collapsed.
% Rule
% [368] t(t(eta(A),quotient(B,C)),t(eta(A),C)) -> t(eta(A),t(quotient(B,C),C))
% collapsed.
% Current number of equations to process: 177
% Current number of ordered equations: 288
% Current number of rules: 202
% New rule produced :
% [373]
% quotient(quotient(quotient(quotient(A,quotient(C,quotient(difference(B,C),C))),
% quotient(difference(quotient(C,quotient(difference(B,C),C)),
% quotient(A,quotient(C,quotient(difference(B,C),C)))),
% quotient(A,quotient(C,quotient(difference(B,C),C))))),B),C)
% -> quotient(quotient(A,B),C)
% Current number of equations to process: 177
% Current number of ordered equations: 287
% Current number of rules: 203
% New rule produced :
% [374]
% difference(quotient(A,quotient(difference(i(B),A),A)),quotient(A,quotient(
% difference(
% eta(B),A),A)))
% -> quotient(difference(i(B),quotient(eta(B),i(A))),A)
% Current number of equations to process: 176
% Current number of ordered equations: 287
% Current number of rules: 204
% New rule produced :
% [375]
% quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A))
% <->
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% quotient(quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B),A),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% Current number of equations to process: 188
% Current number of ordered equations: 274
% Current number of rules: 205
% New rule produced :
% [376]
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% quotient(quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B),A),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% <->
% quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A))
% Current number of equations to process: 188
% Current number of ordered equations: 273
% Current number of rules: 206
% New rule produced :
% [377]
% quotient(quotient(A,quotient(difference(j(j(B)),A),A)),eta(B)) ->
% quotient(A,quotient(difference(B,A),A))
% Current number of equations to process: 188
% Current number of ordered equations: 272
% Current number of rules: 207
% New rule produced :
% [378]
% difference(t(A,B),quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))))
% <->
% difference(t(A,B),quotient(quotient(t(A,B),quotient(difference(A,t(A,B)),
% t(A,B))),quotient(difference(C,
% quotient(
% t(A,B),quotient(
% difference(A,
% t(A,B)),
% t(A,B)))),
% quotient(t(A,B),quotient(
% difference(A,
% t(A,B)),
% t(A,B))))))
% Current number of equations to process: 188
% Current number of ordered equations: 271
% Current number of rules: 208
% New rule produced :
% [379]
% difference(t(A,B),quotient(quotient(t(A,B),quotient(difference(A,t(A,B)),
% t(A,B))),quotient(difference(C,
% quotient(
% t(A,B),quotient(
% difference(A,
% t(A,B)),
% t(A,B)))),
% quotient(t(A,B),quotient(
% difference(A,
% t(A,B)),
% t(A,B))))))
% <->
% difference(t(A,B),quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))))
% Current number of equations to process: 188
% Current number of ordered equations: 270
% Current number of rules: 209
% New rule produced :
% [380]
% quotient(quotient(quotient(eta(A),i(B)),difference(eta(B),B)),B) <->
% quotient(quotient(eta(A),i(B)),difference(i(B),B))
% Current number of equations to process: 186
% Current number of ordered equations: 271
% Current number of rules: 210
% New rule produced :
% [381]
% quotient(quotient(eta(A),i(B)),difference(i(B),B)) <->
% quotient(quotient(quotient(eta(A),i(B)),difference(eta(B),B)),B)
% Current number of equations to process: 186
% Current number of ordered equations: 270
% Current number of rules: 211
% New rule produced :
% [382]
% quotient(A,quotient(difference(quotient(quotient(i(i(B)),quotient(difference(A,B),B)),A),A),A))
% -> quotient(A,quotient(difference(i(i(B)),A),A))
% Current number of equations to process: 186
% Current number of ordered equations: 269
% Current number of rules: 212
% New rule produced :
% [383]
% quotient(A,quotient(difference(quotient(quotient(B,quotient(difference(
% quotient(
% j(j(C)),quotient(
% difference(A,
% j(
% j(C))),
% j(
% j(C)))),B),B)),A),A),A))
% ->
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% j(j(C)),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% Current number of equations to process: 186
% Current number of ordered equations: 268
% Current number of rules: 213
% New rule produced :
% [384]
% t(quotient(A,quotient(difference(B,A),A)),quotient(difference(B,quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(
% difference(A,
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A))
% -> t(quotient(A,quotient(difference(B,A),A)),C)
% Current number of equations to process: 185
% Current number of ordered equations: 268
% Current number of rules: 214
% New rule produced :
% [385]
% t(A,quotient(B,quotient(difference(quotient(quotient(C,quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B),B),B)))
% <->
% difference(A,quotient(quotient(A,j(A)),quotient(difference(quotient(B,
% quotient(difference(C,B),B)),
% quotient(A,j(A))),quotient(A,
% j(A)))))
% Current number of equations to process: 185
% Current number of ordered equations: 267
% Current number of rules: 215
% New rule produced :
% [386]
% difference(A,quotient(quotient(A,j(A)),quotient(difference(quotient(B,
% quotient(difference(C,B),B)),
% quotient(A,j(A))),quotient(A,
% j(A)))))
% <->
% t(A,quotient(B,quotient(difference(quotient(quotient(C,quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B),B),B)))
% Current number of equations to process: 185
% Current number of ordered equations: 266
% Current number of rules: 216
% New rule produced :
% [387]
% quotient(quotient(difference(A,B),quotient(difference(quotient(j(j(C)),
% quotient(difference(A,
% j(j(C))),
% j(j(C)))),difference(A,B)),
% difference(A,B))),A) ->
% difference(A,quotient(B,quotient(difference(j(j(C)),B),B)))
% Current number of equations to process: 185
% Current number of ordered equations: 265
% Current number of rules: 217
% New rule produced :
% [388]
% quotient(quotient(A,quotient(difference(quotient(B,j(B)),A),A)),quotient(A,
% quotient(
% difference(B,A),A)))
% ->
% t(quotient(A,quotient(difference(B,A),A)),quotient(t(B,quotient(A,quotient(
% difference(B,A),A))),A))
% Current number of equations to process: 184
% Current number of ordered equations: 264
% Current number of rules: 218
% New rule produced :
% [389]
% difference(quotient(A,quotient(difference(B,A),A)),quotient(t(A,B),quotient(
% difference(
% quotient(A,
% j(A)),
% t(A,B)),
% t(A,B))))
% -> quotient(t(A,quotient(A,quotient(difference(B,A),A))),t(A,B))
% Current number of equations to process: 184
% Current number of ordered equations: 263
% Current number of rules: 219
% New rule produced :
% [390]
% difference(quotient(i(A),quotient(difference(B,i(A)),i(A))),eta(A)) ->
% quotient(i(B),i(A))
% Rule
% [334]
% difference(quotient(i(quotient(A,quotient(difference(B,A),A))),quotient(
% difference(A,
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),
% eta(quotient(A,quotient(difference(B,A),A)))) ->
% quotient(i(A),i(quotient(A,quotient(difference(B,A),A)))) collapsed.
% Rule
% [345]
% difference(quotient(i(quotient(A,j(A))),quotient(difference(A,i(quotient(A,
% j(A)))),
% i(quotient(A,j(A))))),eta(quotient(A,
% j(A)))) ->
% quotient(i(A),i(quotient(A,j(A)))) collapsed.
% Current number of equations to process: 184
% Current number of ordered equations: 262
% Current number of rules: 218
% Rule [386]
% difference(A,quotient(quotient(A,j(A)),quotient(difference(quotient(B,
% quotient(
% difference(C,B),B)),
% quotient(A,j(A))),
% quotient(A,j(A))))) <->
% t(A,quotient(B,quotient(difference(quotient(quotient(C,quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B),B),B))) is composed into
% [386]
% difference(A,quotient(quotient(A,j(A)),quotient(difference(quotient(B,
% quotient(difference(C,B),B)),
% quotient(A,j(A))),quotient(A,
% j(A)))))
% <->
% t(A,quotient(difference(i(B),quotient(quotient(quotient(C,quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B),
% quotient(difference(B,quotient(quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B)),
% quotient(quotient(C,quotient(difference(
% quotient(A,
% quotient(difference(B,A),A)),C),C)),B)))),B))
% Rule [375]
% quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A))
% <->
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B),A),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))) is composed into
% [375]
% quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A))
% <->
% quotient(difference(i(quotient(A,quotient(difference(B,A),A))),quotient(
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B),A),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B),A)),
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B),A)))),
% quotient(A,quotient(difference(B,A),A)))
% Rule [352]
% difference(quotient(quotient(A,B),quotient(difference(C,quotient(A,B)),
% quotient(A,B))),A) ->
% quotient(difference(C,quotient(B,quotient(difference(quotient(A,B),B),B))),
% quotient(A,B)) is composed into [352]
% difference(quotient(quotient(A,B),
% quotient(difference(C,
% quotient(A,B)),
% quotient(A,B))),A) ->
% quotient(difference(C,quotient(difference(
% i(B),
% quotient(
% quotient(A,B),
% quotient(
% difference(B,
% quotient(A,B)),
% quotient(A,B)))),B)),
% quotient(A,B))
% New rule produced :
% [391]
% quotient(A,quotient(difference(B,A),A)) <->
% quotient(difference(i(A),quotient(B,quotient(difference(A,B),B))),A)
% Rule
% [201]
% quotient(difference(i(quotient(A,B)),quotient(B,quotient(difference(quotient(A,B),B),B))),
% quotient(A,B)) -> A collapsed.
% Rule
% [263]
% quotient(A,quotient(difference(quotient(eta(A),i(B)),A),A)) ->
% quotient(j(j(A)),quotient(difference(B,j(j(A))),j(j(A)))) collapsed.
% Rule
% [267]
% quotient(eta(A),i(quotient(B,quotient(difference(eta(quotient(eta(A),i(B))),B),B))))
% -> j(j(quotient(eta(A),i(B)))) collapsed.
% Rule
% [279]
% quotient(A,quotient(difference(quotient(B,quotient(difference(i(A),B),B)),A),A))
% ->
% quotient(difference(i(A),quotient(eta(A),i(B))),quotient(difference(i(A),
% difference(i(A),
% quotient(eta(A),
% i(B)))),difference(
% i(A),
% quotient(
% eta(A),
% i(B)))))
% collapsed.
% Rule
% [283]
% quotient(quotient(A,quotient(difference(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(
% eta(B),C),C)),B),B)),A),A)),
% eta(B)) ->
% quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A))
% collapsed.
% Rule
% [285]
% difference(B,quotient(C,quotient(difference(quotient(difference(C,B),
% quotient(difference(A,difference(C,B)),
% difference(C,B))),C),C))) ->
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),difference(C,B)),C)
% collapsed.
% Rule
% [287]
% difference(eta(B),quotient(B,quotient(difference(quotient(j(B),quotient(
% difference(A,
% j(B)),
% j(B))),B),B)))
% -> quotient(quotient(quotient(A,quotient(difference(eta(B),A),A)),j(B)),B)
% collapsed.
% Rule
% [288]
% quotient(t(eta(A),quotient(x1,quotient(difference(eta(A),x1),x1))),difference(
% quotient(A,
% quotient(
% difference(
% i(
% i(i(A))),A),A)),x1))
% -> one collapsed.
% Rule
% [297]
% difference(quotient(A,quotient(difference(B,A),A)),quotient(A,quotient(
% difference(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),A),A)))
% -> C collapsed.
% Rule
% [298]
% quotient(A,quotient(difference(quotient(quotient(B,quotient(difference(
% t(B,quotient(A,
% quotient(
% difference(B,A),A))),B),B)),A),A),A))
% -> quotient(A,quotient(difference(quotient(B,j(B)),A),A)) collapsed.
% Rule
% [299]
% difference(eta(A),quotient(A,quotient(difference(quotient(j(A),j(j(A))),A),A)))
% -> quotient(t(j(A),eta(A)),A) collapsed.
% Rule
% [326]
% quotient(B,quotient(difference(quotient(i(i(B)),difference(difference(
% j(j(B)),A),B)),B),B))
% -> A collapsed.
% Rule
% [342]
% difference(quotient(A,B),quotient(A,quotient(difference(quotient(C,quotient(A,B)),A),A)))
% -> quotient(quotient(B,quotient(difference(C,B),B)),quotient(A,B)) collapsed.
% Rule
% [343]
% quotient(B,quotient(difference(quotient(C,quotient(difference(quotient(A,B),C),C)),B),B))
% ->
% quotient(difference(quotient(A,B),quotient(A,quotient(difference(C,A),A))),
% quotient(difference(quotient(A,B),difference(quotient(A,B),quotient(A,
% quotient(difference(C,A),A)))),
% difference(quotient(A,B),quotient(A,quotient(difference(C,A),A)))))
% collapsed.
% Rule
% [346]
% difference(A,quotient(B,quotient(difference(quotient(difference(B,A),
% j(difference(B,A))),B),B))) ->
% quotient(t(difference(B,A),A),B) collapsed.
% Rule
% [359]
% quotient(A,quotient(difference(quotient(t(eta(A),quotient(x1,quotient(
% difference(
% eta(A),x1),x1))),
% difference(j(j(j(A))),x1)),A),A)) -> eta(A)
% collapsed.
% Rule
% [369]
% quotient(difference(i(t(A,B)),quotient(A,quotient(difference(t(A,B),A),A))),
% t(A,B)) -> quotient(A,quotient(difference(B,A),A)) collapsed.
% Rule
% [371]
% quotient(i(i(B)),difference(quotient(C,quotient(difference(difference(
% quotient(eta(B),
% i(C)),A),C),C)),B))
% -> A collapsed.
% Rule
% [376]
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% quotient(quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B),A),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% <->
% quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A))
% collapsed.
% Rule
% [382]
% quotient(A,quotient(difference(quotient(quotient(i(i(B)),quotient(difference(A,B),B)),A),A),A))
% -> quotient(A,quotient(difference(i(i(B)),A),A)) collapsed.
% Rule
% [383]
% quotient(A,quotient(difference(quotient(quotient(B,quotient(difference(
% quotient(
% j(j(C)),quotient(
% difference(A,
% j(
% j(C))),
% j(
% j(C)))),B),B)),A),A),A))
% ->
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% j(j(C)),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% collapsed.
% Rule
% [385]
% t(A,quotient(B,quotient(difference(quotient(quotient(C,quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B),B),B)))
% <->
% difference(A,quotient(quotient(A,j(A)),quotient(difference(quotient(B,
% quotient(difference(C,B),B)),
% quotient(A,j(A))),quotient(A,
% j(A)))))
% collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% quotient(difference(i(x0),quotient(quotient(t(eta(x0),quotient(x1,quotient(
% difference(
% eta(x0),x1),x1))),
% difference(j(quotient(x1,quotient(
% difference(x0,x1),x1))),x1)),
% quotient(difference(x0,quotient(t(eta(x0),quotient(x1,
% quotient(
% difference(
% eta(x0),x1),x1))),
% difference(j(quotient(x1,
% quotient(
% difference(x0,x1),x1))),x1))),
% quotient(t(eta(x0),quotient(x1,quotient(difference(
% eta(x0),x1),x1))),
% difference(j(quotient(x1,quotient(difference(x0,x1),x1))),x1))))),x0) =
% j(x1)
%
% Current number of equations to process: 274
% Current number of ordered equations: 180
% Current number of rules: 197
% New rule produced :
% [392]
% quotient(difference(i(quotient(A,B)),quotient(difference(i(B),quotient(
% quotient(A,B),
% quotient(
% difference(B,
% quotient(A,B)),
% quotient(A,B)))),B)),
% quotient(A,B)) -> A
% Current number of equations to process: 272
% Current number of ordered equations: 182
% Current number of rules: 198
% New rule produced :
% [393]
% quotient(j(j(A)),quotient(difference(B,j(j(A))),j(j(A)))) <->
% quotient(difference(i(A),quotient(quotient(eta(A),i(B)),quotient(difference(A,B),B))),A)
% Current number of equations to process: 100
% Current number of ordered equations: 368
% Current number of rules: 199
% New rule produced :
% [394]
% quotient(difference(i(A),quotient(quotient(eta(A),i(B)),quotient(difference(A,B),B))),A)
% <-> quotient(j(j(A)),quotient(difference(B,j(j(A))),j(j(A))))
% Current number of equations to process: 100
% Current number of ordered equations: 366
% Current number of rules: 200
% New rule produced :
% [395]
% quotient(difference(i(A),quotient(B,quotient(difference(A,B),B))),A) <->
% quotient(A,quotient(difference(B,A),A))
% Current number of equations to process: 100
% Current number of ordered equations: 365
% Current number of rules: 201
% New rule produced :
% [396]
% difference(quotient(A,quotient(difference(B,A),A)),quotient(t(A,B),quotient(
% difference(C,
% t(A,B)),
% t(A,B))))
% ->
% quotient(difference(A,quotient(C,quotient(difference(t(A,B),C),C))),t(A,B))
% Rule
% [389]
% difference(quotient(A,quotient(difference(B,A),A)),quotient(t(A,B),quotient(
% difference(
% quotient(A,
% j(A)),
% t(A,B)),
% t(A,B))))
% -> quotient(t(A,quotient(A,quotient(difference(B,A),A))),t(A,B)) collapsed.
% Current number of equations to process: 103
% Current number of ordered equations: 362
% Current number of rules: 201
% New rule produced :
% [397]
% difference(quotient(t(A,B),quotient(difference(C,t(A,B)),t(A,B))),quotient(A,
% quotient(
% difference(B,A),A)))
% ->
% quotient(difference(C,quotient(difference(i(A),quotient(t(A,B),quotient(
% difference(A,
% t(A,B)),
% t(A,B)))),A)),
% t(A,B))
% Current number of equations to process: 105
% Current number of ordered equations: 359
% Current number of rules: 202
% New rule produced :
% [398]
% t(eta(A),quotient(B,quotient(difference(eta(A),B),B))) ->
% quotient(eta(A),i(B))
% Rule
% [268]
% quotient(difference(i(i(A)),quotient(t(eta(A),quotient(x1,quotient(difference(
% eta(A),x1),x1))),
% difference(i(A),x1))),i(A)) -> j(A) collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% quotient(difference(i(x0),quotient(quotient(quotient(eta(x0),i(x1)),difference(
% j(
% quotient(x1,
% quotient(
% difference(x0,x1),x1))),x1)),
% quotient(difference(x0,quotient(quotient(eta(x0),
% i(x1)),difference(
% j(quotient(x1,
% quotient(
% difference(x0,x1),x1))),x1))),
% quotient(quotient(eta(x0),i(x1)),difference(
% j(quotient(x1,
% quotient(
% difference(x0,x1),x1))),x1))))),x0) =
% j(x1)
%
% Current number of equations to process: 133
% Current number of ordered equations: 331
% Current number of rules: 202
% New rule produced :
% [399]
% quotient(t(i(i(A)),B),quotient(difference(eta(A),t(i(i(A)),B)),t(i(i(A)),B)))
% <-> quotient(quotient(i(i(A)),quotient(difference(B,i(i(A))),i(i(A)))),A)
% Current number of equations to process: 133
% Current number of ordered equations: 330
% Current number of rules: 203
% New rule produced :
% [400]
% quotient(quotient(i(i(A)),quotient(difference(B,i(i(A))),i(i(A)))),A) <->
% quotient(t(i(i(A)),B),quotient(difference(eta(A),t(i(i(A)),B)),t(i(i(A)),B)))
% Current number of equations to process: 133
% Current number of ordered equations: 329
% Current number of rules: 204
% New rule produced :
% [401]
% difference(i(i(A)),quotient(quotient(i(i(A)),quotient(quotient(A,i(A)),
% i(i(A)))),quotient(difference(B,
% quotient(
% i(i(A)),
% quotient(
% quotient(A,
% i(A)),
% i(i(A))))),
% quotient(i(i(A)),
% quotient(quotient(A,
% i(A)),
% i(i(A))))))) ->
% difference(i(i(A)),quotient(eta(A),i(B)))
% Current number of equations to process: 133
% Current number of ordered equations: 328
% Current number of rules: 205
% New rule produced :
% [402]
% difference(eta(A),quotient(quotient(eta(A),i(x1)),difference(eta(A),x1))) ->
% eta(A)
% Current number of equations to process: 132
% Current number of ordered equations: 328
% Current number of rules: 206
% New rule produced :
% [403] quotient(j(j(A)),t(t(A,eta(A)),A)) -> t(t(t(A,eta(A)),A),t(A,eta(A)))
% Current number of equations to process: 132
% Current number of ordered equations: 327
% Current number of rules: 207
% New rule produced :
% [404]
% quotient(difference(i(quotient(A,quotient(difference(B,A),A))),quotient(
% quotient(
% eta(A),
% j(eta(
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% eta(A),
% j(eta(
% quotient(A,
% quotient(
% difference(B,A),A)))))),
% quotient(
% eta(A),
% j(eta(
% quotient(A,
% quotient(
% difference(B,A),A)))))))),
% quotient(A,quotient(difference(B,A),A))) ->
% quotient(quotient(difference(i(A),quotient(quotient(B,quotient(difference(
% eta(A),B),B)),
% quotient(difference(A,quotient(B,quotient(
% difference(
% eta(A),B),B))),
% quotient(B,quotient(difference(eta(A),B),B))))),A),
% quotient(difference(eta(quotient(A,quotient(difference(B,A),A))),quotient(
% difference(
% i(A),
% quotient(
% quotient(B,
% quotient(
% difference(
% eta(A),B),B)),
% quotient(
% difference(A,
% quotient(B,
% quotient(
% difference(
% eta(A),B),B))),
% quotient(B,
% quotient(
% difference(
% eta(A),B),B))))),A)),
% quotient(difference(i(A),quotient(quotient(B,quotient(difference(eta(A),B),B)),
% quotient(difference(A,quotient(B,quotient(difference(
% eta(A),B),B))),
% quotient(B,quotient(difference(eta(A),B),B))))),A)))
% Current number of equations to process: 132
% Current number of ordered equations: 326
% Current number of rules: 208
% New rule produced :
% [405]
% quotient(eta(A),i(quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(
% eta(A),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))))
% ->
% quotient(eta(A),quotient(quotient(i(quotient(B,quotient(difference(eta(A),B),B))),A),
% eta(A)))
% Current number of equations to process: 132
% Current number of ordered equations: 325
% Current number of rules: 209
% New rule produced :
% [406]
% quotient(difference(j(A),quotient(quotient(B,quotient(difference(eta(A),B),B)),
% quotient(difference(j(j(A)),quotient(B,quotient(
% difference(
% eta(A),B),B))),
% quotient(B,quotient(difference(eta(A),B),B))))),
% j(j(A))) <->
% quotient(quotient(j(j(A)),quotient(difference(B,j(j(A))),j(j(A)))),quotient(
% difference(
% eta(A),
% quotient(
% j(
% j(A)),
% quotient(
% difference(B,
% j(
% j(A))),
% j(
% j(A))))),
% quotient(
% j(
% j(A)),
% quotient(
% difference(B,
% j(
% j(A))),
% j(
% j(A))))))
% Current number of equations to process: 132
% Current number of ordered equations: 324
% Current number of rules: 210
% New rule produced :
% [407]
% quotient(quotient(j(j(A)),quotient(difference(B,j(j(A))),j(j(A)))),quotient(
% difference(
% eta(A),
% quotient(
% j(
% j(A)),
% quotient(
% difference(B,
% j(
% j(A))),
% j(
% j(A))))),
% quotient(
% j(
% j(A)),
% quotient(
% difference(B,
% j(
% j(A))),
% j(
% j(A))))))
% <->
% quotient(difference(j(A),quotient(quotient(B,quotient(difference(eta(A),B),B)),
% quotient(difference(j(j(A)),quotient(B,quotient(
% difference(
% eta(A),B),B))),
% quotient(B,quotient(difference(eta(A),B),B))))),
% j(j(A)))
% Current number of equations to process: 132
% Current number of ordered equations: 323
% Current number of rules: 211
% New rule produced :
% [408]
% quotient(quotient(eta(A),i(B)),quotient(difference(j(quotient(eta(A),i(B))),B),B))
% -> eta(quotient(eta(A),i(B)))
% Current number of equations to process: 132
% Current number of ordered equations: 322
% Current number of rules: 212
% New rule produced :
% [409]
% quotient(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))
% -> quotient(A,quotient(difference(B,A),A))
% Current number of equations to process: 132
% Current number of ordered equations: 320
% Current number of rules: 213
% New rule produced :
% [410]
% quotient(difference(B,quotient(quotient(B,quotient(difference(A,B),B)),
% quotient(difference(t(B,C),quotient(B,quotient(
% difference(A,B),B))),
% quotient(B,quotient(difference(A,B),B))))),t(B,C)) <->
% quotient(quotient(quotient(A,quotient(difference(quotient(B,quotient(
% difference(C,B),B)),A),A)),B),
% t(B,C))
% Current number of equations to process: 131
% Current number of ordered equations: 321
% Current number of rules: 214
% New rule produced :
% [411]
% quotient(quotient(quotient(A,quotient(difference(quotient(B,quotient(
% difference(C,B),B)),A),A)),B),
% t(B,C)) <->
% quotient(difference(B,quotient(quotient(B,quotient(difference(A,B),B)),
% quotient(difference(t(B,C),quotient(B,quotient(
% difference(A,B),B))),
% quotient(B,quotient(difference(A,B),B))))),t(B,C))
% Current number of equations to process: 131
% Current number of ordered equations: 320
% Current number of rules: 215
% New rule produced :
% [412]
% quotient(eta(A),i(quotient(quotient(j(eta(A)),quotient(difference(eta(eta(A)),
% j(eta(A))),j(eta(A)))),
% quotient(difference(B,quotient(j(eta(A)),quotient(difference(
% eta(
% eta(A)),
% j(
% eta(A))),
% j(eta(A))))),
% quotient(j(eta(A)),quotient(difference(eta(eta(A)),
% j(eta(A))),j(eta(A)))))))) ->
% quotient(eta(eta(A)),quotient(quotient(difference(B,eta(eta(A))),eta(eta(A))),
% eta(eta(A))))
% Current number of equations to process: 130
% Current number of ordered equations: 319
% Current number of rules: 216
% New rule produced :
% [413]
% t(A,t(eta(quotient(A,j(A))),quotient(difference(i(A),quotient(eta(quotient(A,
% j(A))),
% i(A))),A))) ->
% difference(A,j(j(quotient(A,j(A)))))
% Current number of equations to process: 130
% Current number of ordered equations: 318
% Current number of rules: 217
% New rule produced :
% [414]
% quotient(quotient(A,quotient(difference(eta(eta(B)),A),A)),eta(B)) ->
% quotient(A,eta(B))
% Rule
% [357]
% t(eta(A),quotient(quotient(B,quotient(difference(eta(eta(A)),B),B)),eta(A)))
% -> t(eta(A),quotient(B,eta(A))) collapsed.
% Current number of equations to process: 130
% Current number of ordered equations: 317
% Current number of rules: 217
% New rule produced :
% [415]
% difference(i(A),quotient(quotient(eta(A),i(x1)),difference(eta(A),x1))) ->
% j(j(A))
% Current number of equations to process: 129
% Current number of ordered equations: 317
% Current number of rules: 218
% New rule produced :
% [416]
% quotient(quotient(quotient(A,C),quotient(difference(C,quotient(A,C)),
% quotient(A,C))),quotient(difference(B,
% quotient(quotient(A,C),
% quotient(difference(C,
% quotient(A,C)),
% quotient(A,C)))),
% quotient(quotient(A,C),
% quotient(difference(C,
% quotient(A,C)),
% quotient(A,C))))) ->
% quotient(A,quotient(difference(B,A),A))
% Rule
% [332]
% difference(quotient(A,B),quotient(quotient(quotient(A,B),quotient(difference(B,
% quotient(A,B)),
% quotient(A,B))),
% quotient(difference(C,quotient(quotient(A,B),
% quotient(difference(B,
% quotient(A,B)),
% quotient(A,B)))),quotient(
% quotient(A,B),
% quotient(
% difference(B,
% quotient(A,B)),
% quotient(A,B))))))
% -> difference(quotient(A,B),quotient(A,quotient(difference(C,A),A)))
% collapsed.
% Current number of equations to process: 129
% Current number of ordered equations: 316
% Current number of rules: 218
% New rule produced :
% [417] quotient(difference(j(eta(A)),j(j(A))),eta(A)) -> i(i(A))
% Current number of equations to process: 129
% Current number of ordered equations: 315
% Current number of rules: 219
% New rule produced :
% [418]
% quotient(quotient(eta(A),i(quotient(difference(i(B),quotient(quotient(
% eta(quotient(
% eta(A),
% i(B))),
% i(C)),quotient(
% difference(B,C),C))),B))),C)
% -> j(j(quotient(eta(A),i(B))))
% Current number of equations to process: 129
% Current number of ordered equations: 314
% Current number of rules: 220
% New rule produced :
% [419]
% quotient(quotient(quotient(eta(A),i(x1)),difference(eta(A),x1)),j(j(A))) ->
% i(A)
% Current number of equations to process: 128
% Current number of ordered equations: 314
% Current number of rules: 221
% New rule produced :
% [420]
% difference(A,quotient(B,quotient(difference(i(A),B),B))) ->
% quotient(difference(A,quotient(B,quotient(difference(eta(A),B),B))),A)
% Current number of equations to process: 129
% Current number of ordered equations: 312
% Current number of rules: 222
% New rule produced :
% [421]
% difference(eta(A),quotient(A,quotient(difference(B,A),A))) <->
% quotient(quotient(quotient(difference(j(A),B),quotient(difference(eta(A),
% difference(j(A),B)),
% difference(j(A),B))),j(A)),A)
% Current number of equations to process: 129
% Current number of ordered equations: 311
% Current number of rules: 223
% New rule produced :
% [422]
% quotient(quotient(quotient(difference(j(A),B),quotient(difference(eta(A),
% difference(j(A),B)),
% difference(j(A),B))),j(A)),A)
% <-> difference(eta(A),quotient(A,quotient(difference(B,A),A)))
% Current number of equations to process: 129
% Current number of ordered equations: 310
% Current number of rules: 224
% New rule produced :
% [423]
% difference(i(i(A)),quotient(eta(A),i(quotient(quotient(A,quotient(difference(B,A),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(
% i(i(A)),C),C)),B),B)),
% i(i(A)))
% Current number of equations to process: 129
% Current number of ordered equations: 309
% Current number of rules: 225
% New rule produced :
% [424]
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(
% i(i(A)),C),C)),B),B)),
% i(i(A))) <->
% difference(i(i(A)),quotient(eta(A),i(quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(C,quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))))))
% Current number of equations to process: 129
% Current number of ordered equations: 308
% Current number of rules: 226
% New rule produced :
% [425]
% quotient(quotient(quotient(i(i(A)),quotient(difference(quotient(B,quotient(
% difference(C,B),B)),
% i(i(A))),i(i(A)))),C),B) ->
% quotient(quotient(quotient(eta(A),quotient(quotient(i(quotient(B,quotient(
% difference(C,B),B))),A),
% eta(A))),C),B)
% Current number of equations to process: 129
% Current number of ordered equations: 307
% Current number of rules: 227
% New rule produced :
% [426]
% difference(quotient(A,quotient(difference(quotient(B,C),A),A)),quotient(A,
% quotient(
% difference(B,A),A)))
% ->
% quotient(difference(quotient(B,C),quotient(B,quotient(difference(A,B),B))),A)
% Rule
% [303]
% difference(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),
% quotient(B,quotient(difference(C,B),B))) ->
% quotient(quotient(difference(A,quotient(B,quotient(difference(C,B),B))),C),B)
% collapsed.
% Current number of equations to process: 130
% Current number of ordered equations: 306
% Current number of rules: 227
% New rule produced :
% [427]
% t(quotient(A,quotient(difference(B,A),A)),quotient(quotient(quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B),A))
% <->
% quotient(quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A)),
% quotient(A,quotient(difference(B,A),A)))
% Current number of equations to process: 130
% Current number of ordered equations: 304
% Current number of rules: 228
% New rule produced :
% [428]
% quotient(quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A)),
% quotient(A,quotient(difference(B,A),A))) <->
% t(quotient(A,quotient(difference(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: 130
% Current number of ordered equations: 302
% Current number of rules: 229
% New rule produced :
% [429]
% quotient(quotient(quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),B),A)
% <->
% quotient(quotient(quotient(t(quotient(A,quotient(difference(B,A),A)),C),
% quotient(difference(quotient(A,quotient(difference(B,A),A)),
% t(quotient(A,quotient(difference(B,A),A)),C)),
% t(quotient(A,quotient(difference(B,A),A)),C))),B),A)
% Current number of equations to process: 130
% Current number of ordered equations: 301
% Current number of rules: 230
% New rule produced :
% [430]
% quotient(quotient(quotient(t(quotient(A,quotient(difference(B,A),A)),C),
% quotient(difference(quotient(A,quotient(difference(B,A),A)),
% t(quotient(A,quotient(difference(B,A),A)),C)),
% t(quotient(A,quotient(difference(B,A),A)),C))),B),A) <->
% quotient(quotient(quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),B),A)
% Current number of equations to process: 130
% Current number of ordered equations: 300
% Current number of rules: 231
% New rule produced :
% [431]
% quotient(quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A)),
% difference(C,quotient(quotient(C,quotient(difference(A,C),C)),quotient(
% difference(B,
% quotient(C,
% quotient(
% difference(A,C),C))),
% quotient(C,
% quotient(
% difference(A,C),C))))))
% ->
% t(quotient(quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A)),C),C)
% Current number of equations to process: 130
% Current number of ordered equations: 297
% Current number of rules: 232
% New rule produced :
% [432]
% difference(A,quotient(quotient(eta(A),i(B)),difference(j(j(B)),B))) ->
% difference(A,quotient(eta(A),j(B)))
% Current number of equations to process: 130
% Current number of ordered equations: 296
% Current number of rules: 233
% New rule produced :
% [433]
% difference(A,quotient(quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(C,quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))),quotient(
% difference(V_3,
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))))))
% <->
% quotient(quotient(quotient(quotient(B,quotient(difference(quotient(C,
% quotient(difference(A,C),C)),B),B)),A),
% quotient(difference(quotient(V_3,quotient(difference(A,V_3),V_3)),
% quotient(quotient(B,quotient(difference(quotient(C,
% quotient(difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(quotient(C,quotient(
% difference(A,C),C)),B),B)),A))),A)
% Current number of equations to process: 130
% Current number of ordered equations: 295
% Current number of rules: 234
% New rule produced :
% [434]
% quotient(quotient(quotient(quotient(B,quotient(difference(quotient(C,
% quotient(difference(A,C),C)),B),B)),A),
% quotient(difference(quotient(V_3,quotient(difference(A,V_3),V_3)),
% quotient(quotient(B,quotient(difference(quotient(C,
% quotient(difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(quotient(C,quotient(
% difference(A,C),C)),B),B)),A))),A)
% <->
% difference(A,quotient(quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(C,quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))),quotient(
% difference(V_3,
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))))))
% Current number of equations to process: 130
% Current number of ordered equations: 294
% Current number of rules: 235
% New rule produced :
% [435]
% difference(V_3,quotient(quotient(V_3,quotient(difference(A,V_3),V_3)),
% quotient(difference(quotient(B,quotient(difference(C,B),B)),
% quotient(V_3,quotient(difference(A,V_3),V_3))),
% quotient(V_3,quotient(difference(A,V_3),V_3))))) <->
% quotient(quotient(A,quotient(difference(quotient(difference(i(B),quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B),
% quotient(
% difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)))),B),A),A)),V_3)
% Current number of equations to process: 130
% Current number of ordered equations: 293
% Current number of rules: 236
% New rule produced :
% [436]
% difference(V_3,quotient(quotient(V_3,quotient(difference(quotient(A,quotient(
% difference(B,A),A)),V_3),V_3)),
% quotient(difference(C,quotient(V_3,quotient(difference(
% quotient(A,
% quotient(difference(B,A),A)),V_3),V_3))),
% quotient(V_3,quotient(difference(quotient(A,quotient(difference(B,A),A)),V_3),V_3)))))
% <->
% quotient(quotient(difference(i(A),quotient(quotient(quotient(B,quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(V_3,C),C))),
% quotient(C,
% quotient(
% difference(V_3,C),C)))),B),B)),A),
% quotient(difference(A,quotient(quotient(B,
% quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(V_3,C),C))),
% quotient(C,
% quotient(
% difference(V_3,C),C)))),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(V_3,C),C))),
% quotient(C,
% quotient(
% difference(V_3,C),C)))),B),B)),A)))),A),V_3)
% Current number of equations to process: 130
% Current number of ordered equations: 292
% Current number of rules: 237
% New rule produced :
% [437]
% quotient(quotient(A,quotient(difference(quotient(difference(i(B),quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B),
% quotient(
% difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)))),B),A),A)),V_3)
% <->
% difference(V_3,quotient(quotient(V_3,quotient(difference(A,V_3),V_3)),
% quotient(difference(quotient(B,quotient(difference(C,B),B)),
% quotient(V_3,quotient(difference(A,V_3),V_3))),
% quotient(V_3,quotient(difference(A,V_3),V_3)))))
% Current number of equations to process: 130
% Current number of ordered equations: 291
% Current number of rules: 238
% New rule produced :
% [438]
% quotient(quotient(difference(i(A),quotient(quotient(quotient(B,quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(V_3,C),C))),
% quotient(C,
% quotient(
% difference(V_3,C),C)))),B),B)),A),
% quotient(difference(A,quotient(quotient(B,
% quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(V_3,C),C))),
% quotient(C,
% quotient(
% difference(V_3,C),C)))),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(V_3,C),C))),
% quotient(C,
% quotient(
% difference(V_3,C),C)))),B),B)),A)))),A),V_3)
% <->
% difference(V_3,quotient(quotient(V_3,quotient(difference(quotient(A,quotient(
% difference(B,A),A)),V_3),V_3)),
% quotient(difference(C,quotient(V_3,quotient(difference(
% quotient(A,
% quotient(difference(B,A),A)),V_3),V_3))),
% quotient(V_3,quotient(difference(quotient(A,quotient(difference(B,A),A)),V_3),V_3)))))
% Current number of equations to process: 130
% Current number of ordered equations: 290
% Current number of rules: 239
% New rule produced :
% [439]
% quotient(quotient(t(A,B),quotient(difference(A,t(A,B)),t(A,B))),quotient(
% difference(C,
% quotient(
% t(A,B),
% quotient(
% difference(A,
% t(A,B)),
% t(A,B)))),
% quotient(
% t(A,B),
% quotient(
% difference(A,
% t(A,B)),
% t(A,B)))))
% <->
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(C,
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% Rule
% [379]
% difference(t(A,B),quotient(quotient(t(A,B),quotient(difference(A,t(A,B)),
% t(A,B))),quotient(difference(C,
% quotient(
% t(A,B),quotient(
% difference(A,
% t(A,B)),
% t(A,B)))),
% quotient(t(A,B),quotient(
% difference(A,
% t(A,B)),
% t(A,B))))))
% <->
% difference(t(A,B),quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))))
% collapsed.
% Current number of equations to process: 130
% Current number of ordered equations: 289
% Current number of rules: 239
% New rule produced :
% [440]
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(C,
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% <->
% quotient(quotient(t(A,B),quotient(difference(A,t(A,B)),t(A,B))),quotient(
% difference(C,
% quotient(
% t(A,B),
% quotient(
% difference(A,
% t(A,B)),
% t(A,B)))),
% quotient(
% t(A,B),
% quotient(
% difference(A,
% t(A,B)),
% t(A,B)))))
% Rule
% [378]
% difference(t(A,B),quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))))
% <->
% difference(t(A,B),quotient(quotient(t(A,B),quotient(difference(A,t(A,B)),
% t(A,B))),quotient(difference(C,
% quotient(
% t(A,B),quotient(
% difference(A,
% t(A,B)),
% t(A,B)))),
% quotient(t(A,B),quotient(
% difference(A,
% t(A,B)),
% t(A,B))))))
% collapsed.
% Current number of equations to process: 130
% Current number of ordered equations: 288
% Current number of rules: 239
% New rule produced :
% [441]
% quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A))
% <->
% quotient(quotient(A,quotient(difference(quotient(difference(i(B),quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% eta(V_3),
% i(B)),C),C)),B),
% quotient(
% difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% eta(V_3),
% i(B)),C),C)),B)),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% eta(V_3),
% i(B)),C),C)),B)))),B),A),A)),
% eta(V_3))
% Current number of equations to process: 130
% Current number of ordered equations: 287
% Current number of rules: 240
% New rule produced :
% [442]
% quotient(quotient(difference(i(A),quotient(quotient(quotient(B,quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C))),
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C)))),B),B)),A),
% quotient(difference(A,quotient(quotient(B,
% quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C))),
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C)))),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C))),
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C)))),B),B)),A)))),A),
% eta(V_3)) <->
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(C,
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% Current number of equations to process: 130
% Current number of ordered equations: 286
% Current number of rules: 241
% New rule produced :
% [443]
% quotient(quotient(A,quotient(difference(quotient(difference(i(B),quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% eta(V_3),
% i(B)),C),C)),B),
% quotient(
% difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% eta(V_3),
% i(B)),C),C)),B)),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% eta(V_3),
% i(B)),C),C)),B)))),B),A),A)),
% eta(V_3)) <->
% quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A))
% Current number of equations to process: 130
% Current number of ordered equations: 285
% Current number of rules: 242
% New rule produced :
% [444]
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(C,
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% <->
% quotient(quotient(difference(i(A),quotient(quotient(quotient(B,quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C))),
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C)))),B),B)),A),
% quotient(difference(A,quotient(quotient(B,
% quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C))),
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C)))),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C))),
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C)))),B),B)),A)))),A),
% eta(V_3))
% Current number of equations to process: 130
% Current number of ordered equations: 284
% Current number of rules: 243
% New rule produced :
% [445]
% difference(A,quotient(B,quotient(difference(C,B),B))) <->
% quotient(quotient(quotient(difference(difference(B,A),C),quotient(difference(A,
% difference(
% difference(B,A),C)),
% difference(difference(B,A),C))),
% difference(B,A)),B)
% Current number of equations to process: 130
% Current number of ordered equations: 283
% Current number of rules: 244
% New rule produced :
% [446]
% quotient(quotient(quotient(difference(difference(B,A),C),quotient(difference(A,
% difference(
% difference(B,A),C)),
% difference(difference(B,A),C))),
% difference(B,A)),B) <->
% difference(A,quotient(B,quotient(difference(C,B),B)))
% Current number of equations to process: 130
% Current number of ordered equations: 282
% Current number of rules: 245
% New rule produced :
% [447]
% difference(quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(A,quotient(difference(V_3,A),A))) <->
% quotient(difference(quotient(quotient(B,quotient(difference(quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(V_3,quotient(difference(A,V_3),V_3))),A)
% Current number of equations to process: 130
% Current number of ordered equations: 281
% Current number of rules: 246
% New rule produced :
% [448]
% quotient(difference(quotient(quotient(B,quotient(difference(quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(V_3,quotient(difference(A,V_3),V_3))),A) <->
% difference(quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(A,quotient(difference(V_3,A),A)))
% Current number of equations to process: 130
% Current number of ordered equations: 280
% Current number of rules: 247
% New rule produced :
% [449]
% quotient(difference(A,quotient(B,quotient(difference(C,B),B))),difference(
% quotient(C,
% quotient(
% difference(A,C),C)),
% quotient(C,
% quotient(
% difference(B,C),C))))
% -> t(quotient(difference(A,quotient(B,quotient(difference(C,B),B))),C),C)
% Current number of equations to process: 130
% Current number of ordered equations: 279
% Current number of rules: 248
% New rule produced :
% [450]
% quotient(difference(A,quotient(difference(i(B),quotient(quotient(quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B),
% quotient(difference(B,
% quotient(quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)),
% quotient(quotient(C,quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)))),B)),V_3)
% <->
% difference(quotient(V_3,quotient(difference(A,V_3),V_3)),quotient(V_3,
% quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),V_3),V_3)))
% Current number of equations to process: 130
% Current number of ordered equations: 278
% Current number of rules: 249
% New rule produced :
% [451]
% difference(quotient(V_3,quotient(difference(A,V_3),V_3)),quotient(V_3,
% quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),V_3),V_3)))
% <->
% quotient(difference(A,quotient(difference(i(B),quotient(quotient(quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B),
% quotient(difference(B,
% quotient(quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)),
% quotient(quotient(C,quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)))),B)),V_3)
% Rule
% [204]
% 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.
% Current number of equations to process: 132
% Current number of ordered equations: 264
% Current number of rules: 249
% New rule produced :
% [452]
% quotient(difference(B,quotient(difference(i(B),quotient(quotient(quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B),
% quotient(difference(B,
% quotient(quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B)),
% quotient(quotient(C,quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B)))),B)),A)
% ->
% quotient(quotient(quotient(C,quotient(difference(quotient(A,quotient(
% difference(B,A),A)),C),C)),B),A)
% Current number of equations to process: 131
% Current number of ordered equations: 264
% Current number of rules: 250
% New rule produced :
% [453]
% quotient(eta(A),i(quotient(quotient(B,quotient(difference(C,B),B)),quotient(
% difference(
% eta(
% quotient(
% eta(A),
% i(B))),
% quotient(B,
% quotient(
% difference(C,B),B))),
% quotient(B,
% quotient(
% difference(C,B),B))))))
% ->
% quotient(eta(A),i(quotient(difference(i(B),quotient(quotient(C,quotient(
% difference(
% eta(quotient(
% eta(A),
% i(B))),C),C)),
% quotient(difference(B,quotient(C,
% quotient(
% difference(
% eta(
% quotient(
% eta(A),
% i(B))),C),C))),
% quotient(C,quotient(difference(
% eta(quotient(
% eta(A),
% i(B))),C),C))))),B)))
% Current number of equations to process: 131
% Current number of ordered equations: 263
% Current number of rules: 251
% New rule produced :
% [454]
% difference(quotient(A,quotient(difference(B,A),A)),quotient(quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(
% eta(A),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(difference(C,
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(
% eta(A),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(difference(
% eta(A),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))))
% <->
% difference(quotient(A,quotient(difference(B,A),A)),quotient(quotient(
% difference(
% i(A),quotient(
% quotient(B,
% quotient(
% difference(
% eta(A),B),B)),
% quotient(
% difference(A,
% quotient(B,
% quotient(
% difference(
% eta(A),B),B))),
% quotient(B,
% quotient(
% difference(
% eta(A),B),B))))),A),
% quotient(difference(C,
% quotient(
% difference(
% i(A),quotient(
% quotient(B,
% quotient(
% difference(
% eta(A),B),B)),
% quotient(
% difference(A,
% quotient(B,
% quotient(
% difference(
% eta(A),B),B))),
% quotient(B,
% quotient(
% difference(
% eta(A),B),B))))),A)),
% quotient(difference(
% i(A),quotient(
% quotient(B,
% quotient(
% difference(
% eta(A),B),B)),
% quotient(
% difference(A,
% quotient(B,
% quotient(
% difference(
% eta(A),B),B))),
% quotient(B,
% quotient(
% difference(
% eta(A),B),B))))),A))))
% Current number of equations to process: 131
% Current number of ordered equations: 262
% Current number of rules: 252
% New rule produced :
% [455]
% difference(quotient(A,quotient(difference(B,A),A)),quotient(quotient(
% difference(
% i(A),quotient(
% quotient(B,
% quotient(
% difference(
% eta(A),B),B)),
% quotient(
% difference(A,
% quotient(B,
% quotient(
% difference(
% eta(A),B),B))),
% quotient(B,
% quotient(
% difference(
% eta(A),B),B))))),A),
% quotient(difference(C,
% quotient(
% difference(
% i(A),quotient(
% quotient(B,
% quotient(
% difference(
% eta(A),B),B)),
% quotient(
% difference(A,
% quotient(B,
% quotient(
% difference(
% eta(A),B),B))),
% quotient(B,
% quotient(
% difference(
% eta(A),B),B))))),A)),
% quotient(difference(
% i(A),quotient(
% quotient(B,
% quotient(
% difference(
% eta(A),B),B)),
% quotient(
% difference(A,
% quotient(B,
% quotient(
% difference(
% eta(A),B),B))),
% quotient(B,
% quotient(
% difference(
% eta(A),B),B))))),A))))
% <->
% difference(quotient(A,quotient(difference(B,A),A)),quotient(quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(
% eta(A),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(difference(C,
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(
% eta(A),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(difference(
% eta(A),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))))
% Current number of equations to process: 131
% Current number of ordered equations: 261
% Current number of rules: 253
% New rule produced :
% [456]
% quotient(quotient(quotient(quotient(eta(A),i(B)),quotient(difference(
% quotient(C,
% quotient(difference(V_3,C),C)),B),B)),V_3),C)
% ->
% quotient(quotient(quotient(eta(A),i(quotient(B,quotient(difference(quotient(C,
% quotient(
% difference(V_3,C),C)),B),B)))),V_3),C)
% Current number of equations to process: 131
% Current number of ordered equations: 260
% Current number of rules: 254
% New rule produced :
% [457]
% quotient(difference(B,quotient(j(j(B)),quotient(difference(A,j(j(B))),
% j(j(B))))),A) -> eta(B)
% Current number of equations to process: 131
% Current number of ordered equations: 259
% Current number of rules: 255
% New rule produced :
% [458]
% quotient(difference(i(i(A)),quotient(quotient(eta(A),i(x1)),difference(
% i(A),x1))),
% i(A)) -> j(A)
% Current number of equations to process: 130
% Current number of ordered equations: 259
% Current number of rules: 256
% New rule produced :
% [459]
% quotient(difference(i(difference(A,B)),quotient(quotient(eta(A),i(B)),
% difference(difference(A,B),B))),
% difference(A,B)) ->
% difference(A,quotient(B,quotient(difference(eta(A),B),B)))
% Current number of equations to process: 130
% Current number of ordered equations: 258
% Current number of rules: 257
% New rule produced :
% [460]
% quotient(quotient(quotient(eta(A),i(x1)),difference(eta(A),x1)),i(A)) ->
% t(i(A),j(j(A)))
% Current number of equations to process: 129
% Current number of ordered equations: 258
% Current number of rules: 258
% New rule produced :
% [461]
% quotient(j(A),quotient(difference(B,j(A)),j(A))) <->
% quotient(difference(A,quotient(B,quotient(difference(j(A),B),B))),j(A))
% Current number of equations to process: 129
% Current number of ordered equations: 257
% Current number of rules: 259
% New rule produced :
% [462]
% quotient(difference(A,quotient(B,quotient(difference(j(A),B),B))),j(A)) <->
% quotient(j(A),quotient(difference(B,j(A)),j(A)))
% Current number of equations to process: 129
% Current number of ordered equations: 256
% Current number of rules: 260
% New rule produced :
% [463]
% quotient(quotient(difference(i(B),quotient(t(eta(quotient(A,quotient(
% difference(B,A),A))),
% quotient(difference(i(A),quotient(
% eta(
% quotient(A,
% quotient(
% difference(B,A),A))),
% i(A))),A)),
% quotient(difference(B,t(eta(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(difference(
% i(A),
% quotient(
% eta(
% quotient(A,
% quotient(
% difference(B,A),A))),
% i(A))),A))),
% t(eta(quotient(A,quotient(difference(B,A),A))),
% quotient(difference(i(A),quotient(eta(
% quotient(A,
% quotient(
% difference(B,A),A))),
% i(A))),A))))),B),A)
% -> difference(A,j(j(quotient(A,quotient(difference(B,A),A)))))
% Current number of equations to process: 130
% Current number of ordered equations: 254
% Current number of rules: 261
% New rule produced :
% [464]
% quotient(difference(t(B,C),quotient(difference(i(B),quotient(quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B),
% quotient(difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B)),
% quotient(quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B)))),B)),A)
% ->
% quotient(difference(t(B,C),quotient(quotient(t(B,C),quotient(difference(B,
% t(B,C)),
% t(B,C))),quotient(
% difference(A,
% quotient(
% t(B,C),quotient(
% difference(B,
% t(B,C)),
% t(B,C)))),
% quotient(
% t(B,C),quotient(
% difference(B,
% t(B,C)),
% t(B,C)))))),A)
% Current number of equations to process: 129
% Current number of ordered equations: 254
% Current number of rules: 262
% New rule produced :
% [465]
% t(eta(A),difference(B,quotient(quotient(B,j(B)),quotient(difference(C,
% quotient(B,j(B))),
% quotient(B,j(B)))))) ->
% t(eta(A),t(B,quotient(C,quotient(difference(B,C),C))))
% Current number of equations to process: 129
% Current number of ordered equations: 253
% Current number of rules: 263
% New rule produced :
% [466]
% difference(i(i(A)),quotient(eta(A),i(quotient(quotient(difference(i(A),
% quotient(i(i(A)),
% quotient(difference(A,
% i(i(A))),
% i(i(A))))),A),
% quotient(difference(B,quotient(difference(
% i(A),
% quotient(
% i(
% i(A)),
% quotient(
% difference(A,
% i(
% i(A))),
% i(
% i(A))))),A)),
% quotient(difference(i(A),quotient(
% i(i(A)),
% quotient(
% difference(A,
% i(i(A))),
% i(i(A))))),A))))))
% -> t(i(i(A)),quotient(B,quotient(difference(i(i(A)),B),B)))
% Current number of equations to process: 129
% Current number of ordered equations: 252
% Current number of rules: 264
% New rule produced :
% [467]
% difference(j(j(A)),quotient(quotient(j(j(A)),j(j(j(A)))),quotient(difference(B,
% quotient(
% j(j(A)),
% j(j(j(A))))),
% quotient(j(j(A)),
% j(j(j(A))))))) ->
% t(j(j(A)),quotient(B,quotient(difference(j(j(A)),B),B)))
% Current number of equations to process: 129
% Current number of ordered equations: 251
% Current number of rules: 265
% New rule produced :
% [468]
% difference(t(eta(A),B),quotient(t(eta(A),quotient(B,j(B))),quotient(difference(C,
% t(
% eta(A),
% quotient(B,
% j(B)))),
% t(eta(A),quotient(B,
% j(B))))))
% -> t(t(eta(A),B),quotient(C,quotient(difference(t(eta(A),B),C),C)))
% Current number of equations to process: 129
% Current number of ordered equations: 250
% Current number of rules: 266
% New rule produced :
% [469]
% difference(quotient(A,quotient(difference(eta(B),A),A)),quotient(A,quotient(
% difference(
% i(
% i(B)),A),A)))
% -> B
% Current number of equations to process: 129
% Current number of ordered equations: 249
% Current number of rules: 267
% New rule produced :
% [470]
% quotient(difference(i(A),quotient(quotient(quotient(quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A))),A),
% quotient(difference(A,quotient(quotient(quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A))),A)),
% quotient(quotient(quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(quotient(V_3,quotient(
% difference(A,V_3),V_3)),
% quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A))),A)))),A)
% <->
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A)))),
% quotient(difference(V_3,quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(C,quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))))
% Current number of equations to process: 129
% Current number of ordered equations: 248
% Current number of rules: 268
% New rule produced :
% [471]
% quotient(difference(i(A),quotient(quotient(quotient(difference(i(B),quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B),
% quotient(
% difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B)),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B)))),B),A),
% quotient(difference(A,quotient(quotient(difference(
% i(B),
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B),
% quotient(
% difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B)),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B)))),B),A)),
% quotient(quotient(difference(i(B),quotient(quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B),
% quotient(difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B)),
% quotient(quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B)))),B),A)))),A)
% <->
% quotient(quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A)),
% quotient(difference(V_3,quotient(A,quotient(difference(quotient(B,quotient(
% difference(C,B),B)),A),A))),
% quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A))))
% Current number of equations to process: 129
% Current number of ordered equations: 247
% Current number of rules: 269
% New rule produced :
% [472]
% quotient(difference(i(A),quotient(quotient(quotient(B,quotient(difference(
% quotient(
% difference(
% i(C),quotient(
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C),
% quotient(
% difference(C,
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C)),
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C)))),C),B),B)),A),
% quotient(difference(A,quotient(quotient(B,quotient(
% difference(
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C),
% quotient(
% difference(C,
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C)),
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C)))),C),B),B)),A)),
% quotient(quotient(B,quotient(difference(quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C),
% quotient(
% difference(C,
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C)),
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C)))),C),B),B)),A)))),A)
% <->
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% quotient(C,
% quotient(difference(V_3,C),C)),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% Current number of equations to process: 129
% Current number of ordered equations: 246
% Current number of rules: 270
% New rule produced :
% [473]
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% quotient(C,
% quotient(difference(V_3,C),C)),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% <->
% quotient(difference(i(A),quotient(quotient(quotient(B,quotient(difference(
% quotient(
% difference(
% i(C),quotient(
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C),
% quotient(
% difference(C,
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C)),
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C)))),C),B),B)),A),
% quotient(difference(A,quotient(quotient(B,quotient(
% difference(
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C),
% quotient(
% difference(C,
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C)),
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C)))),C),B),B)),A)),
% quotient(quotient(B,quotient(difference(quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C),
% quotient(
% difference(C,
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C)),
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C)))),C),B),B)),A)))),A)
% Current number of equations to process: 129
% Current number of ordered equations: 245
% Current number of rules: 271
% New rule produced :
% [474]
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A)))),
% quotient(difference(V_3,quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(C,quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))))
% <->
% quotient(difference(i(A),quotient(quotient(quotient(quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A))),A),
% quotient(difference(A,quotient(quotient(quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A))),A)),
% quotient(quotient(quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(quotient(V_3,quotient(
% difference(A,V_3),V_3)),
% quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A))),A)))),A)
% Current number of equations to process: 129
% Current number of ordered equations: 244
% Current number of rules: 272
% New rule produced :
% [475]
% quotient(quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A)),
% quotient(difference(V_3,quotient(A,quotient(difference(quotient(B,quotient(
% difference(C,B),B)),A),A))),
% quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A))))
% <->
% quotient(difference(i(A),quotient(quotient(quotient(difference(i(B),quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B),
% quotient(
% difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B)),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B)))),B),A),
% quotient(difference(A,quotient(quotient(difference(
% i(B),
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B),
% quotient(
% difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B)),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B)))),B),A)),
% quotient(quotient(difference(i(B),quotient(quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B),
% quotient(difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B)),
% quotient(quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B)))),B),A)))),A)
% Current number of equations to process: 129
% Current number of ordered equations: 243
% Current number of rules: 273
% New rule produced :
% [476]
% difference(i(B),quotient(quotient(eta(B),i(A)),difference(t(i(B),A),A))) ->
% quotient(quotient(quotient(A,i(B)),B),i(B))
% Current number of equations to process: 129
% Current number of ordered equations: 242
% Current number of rules: 274
% New rule produced :
% [477]
% difference(quotient(j(j(A)),quotient(difference(B,j(j(A))),j(j(A)))),
% quotient(j(j(A)),quotient(difference(C,j(j(A))),j(j(A))))) ->
% quotient(difference(B,quotient(C,quotient(difference(j(j(A)),C),C))),j(j(A)))
% Current number of equations to process: 129
% Current number of ordered equations: 241
% Current number of rules: 275
% New rule produced :
% [478]
% difference(quotient(C,quotient(difference(A,C),C)),quotient(C,quotient(
% difference(
% i(i(B)),C),C)))
% ->
% quotient(difference(A,quotient(i(i(B)),quotient(difference(C,i(i(B))),
% i(i(B))))),C)
% Rule
% [469]
% difference(quotient(A,quotient(difference(eta(B),A),A)),quotient(A,quotient(
% difference(
% i(
% i(B)),A),A)))
% -> B collapsed.
% Current number of equations to process: 130
% Current number of ordered equations: 240
% Current number of rules: 275
% New rule produced :
% [479]
% quotient(difference(eta(B),quotient(i(i(B)),quotient(difference(A,i(i(B))),
% i(i(B))))),A) -> B
% Current number of equations to process: 129
% Current number of ordered equations: 240
% Current number of rules: 276
% New rule produced :
% [480]
% quotient(quotient(difference(A,quotient(quotient(A,j(A)),quotient(difference(B,
% quotient(A,
% j(A))),
% quotient(A,j(A))))),B),
% quotient(A,j(A))) ->
% quotient(quotient(t(A,quotient(B,quotient(difference(A,B),B))),B),quotient(A,
% j(A)))
% Current number of equations to process: 129
% Current number of ordered equations: 239
% Current number of rules: 277
% New rule produced :
% [481]
% quotient(i(i(A)),quotient(difference(A,i(i(A))),i(i(A)))) ->
% quotient(i(i(A)),j(A))
% Rule
% [466]
% difference(i(i(A)),quotient(eta(A),i(quotient(quotient(difference(i(A),
% quotient(i(i(A)),
% quotient(difference(A,
% i(i(A))),
% i(i(A))))),A),
% quotient(difference(B,quotient(difference(
% i(A),
% quotient(
% i(
% i(A)),
% quotient(
% difference(A,
% i(
% i(A))),
% i(
% i(A))))),A)),
% quotient(difference(i(A),quotient(
% i(i(A)),
% quotient(
% difference(A,
% i(i(A))),
% i(i(A))))),A))))))
% -> t(i(i(A)),quotient(B,quotient(difference(i(i(A)),B),B))) collapsed.
% Current number of equations to process: 131
% Current number of ordered equations: 237
% Current number of rules: 277
% New rule produced :
% [482]
% quotient(difference(i(B),quotient(quotient(i(B),quotient(difference(A,i(B)),
% i(B))),quotient(difference(B,
% quotient(
% i(B),
% quotient(
% difference(A,
% i(B)),
% i(B)))),
% quotient(i(B),
% quotient(difference(A,
% i(B)),
% i(B)))))),B) ->
% quotient(quotient(A,i(B)),B)
% Current number of equations to process: 131
% Current number of ordered equations: 236
% Current number of rules: 278
% New rule produced :
% [483]
% difference(j(A),quotient(quotient(j(A),quotient(difference(A,j(A)),j(A))),
% quotient(difference(B,quotient(j(A),quotient(difference(A,
% j(A)),j(A)))),
% quotient(j(A),quotient(difference(A,j(A)),j(A)))))) ->
% difference(j(A),B)
% Rule
% [319]
% quotient(difference(j(B),quotient(quotient(j(B),quotient(difference(B,j(B)),
% j(B))),quotient(difference(A,
% quotient(
% j(B),
% quotient(
% difference(B,
% j(B)),
% j(B)))),
% quotient(j(B),
% quotient(difference(B,
% j(B)),
% j(B)))))),A) ->
% quotient(difference(j(B),A),A) collapsed.
% Current number of equations to process: 131
% Current number of ordered equations: 235
% Current number of rules: 278
% New rule produced :
% [484]
% quotient(difference(B,quotient(quotient(B,quotient(difference(A,B),B)),
% quotient(difference(j(B),quotient(B,quotient(difference(A,B),B))),
% quotient(B,quotient(difference(A,B),B))))),j(B)) ->
% quotient(quotient(A,B),j(B))
% Current number of equations to process: 131
% Current number of ordered equations: 234
% Current number of rules: 279
% New rule produced :
% [485]
% quotient(quotient(eta(A),i(B)),difference(C,B)) -> quotient(eta(A),i(C))
% Rule
% [264]
% quotient(quotient(eta(A),i(B)),difference(quotient(A,quotient(difference(B,A),A)),B))
% -> quotient(i(i(A)),quotient(difference(B,i(i(A))),i(i(A)))) collapsed.
% Rule
% [327]
% quotient(quotient(eta(C),i(B)),difference(quotient(difference(eta(C),A),
% quotient(difference(B,difference(
% eta(C),A)),
% difference(eta(C),A))),B)) ->
% quotient(A,quotient(difference(B,A),A)) collapsed.
% Rule
% [328]
% quotient(quotient(eta(A),i(B)),difference(quotient(j(eta(A)),quotient(
% difference(B,
% j(eta(A))),
% j(eta(A)))),B))
% -> quotient(eta(eta(A)),i(B)) collapsed.
% Rule
% [335]
% quotient(quotient(eta(A),i(B)),difference(t(eta(A),B),B)) ->
% t(eta(A),quotient(eta(A),i(B))) collapsed.
% Rule
% [380]
% quotient(quotient(quotient(eta(A),i(B)),difference(eta(B),B)),B) <->
% quotient(quotient(eta(A),i(B)),difference(i(B),B)) collapsed.
% Rule
% [381]
% quotient(quotient(eta(A),i(B)),difference(i(B),B)) <->
% quotient(quotient(quotient(eta(A),i(B)),difference(eta(B),B)),B) collapsed.
% Rule
% [402]
% difference(eta(A),quotient(quotient(eta(A),i(x1)),difference(eta(A),x1))) ->
% eta(A) collapsed.
% Rule
% [415]
% difference(i(A),quotient(quotient(eta(A),i(x1)),difference(eta(A),x1))) ->
% j(j(A)) collapsed.
% Rule
% [419]
% quotient(quotient(quotient(eta(A),i(x1)),difference(eta(A),x1)),j(j(A))) ->
% i(A) collapsed.
% Rule
% [432]
% difference(A,quotient(quotient(eta(A),i(B)),difference(j(j(B)),B))) ->
% difference(A,quotient(eta(A),j(B))) collapsed.
% Rule
% [458]
% quotient(difference(i(i(A)),quotient(quotient(eta(A),i(x1)),difference(
% i(A),x1))),
% i(A)) -> j(A) collapsed.
% Rule
% [459]
% quotient(difference(i(difference(A,B)),quotient(quotient(eta(A),i(B)),
% difference(difference(A,B),B))),
% difference(A,B)) ->
% difference(A,quotient(B,quotient(difference(eta(A),B),B))) collapsed.
% Rule
% [460]
% quotient(quotient(quotient(eta(A),i(x1)),difference(eta(A),x1)),i(A)) ->
% t(i(A),j(j(A))) collapsed.
% Rule
% [476]
% difference(i(B),quotient(quotient(eta(B),i(A)),difference(t(i(B),A),A))) ->
% quotient(quotient(quotient(A,i(B)),B),i(B)) collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% quotient(difference(i(x0),quotient(quotient(eta(x0),quotient(x1,quotient(
% difference(x0,x1),x1))),
% quotient(difference(x0,quotient(eta(x0),quotient(x1,
% quotient(
% difference(x0,x1),x1)))),
% quotient(eta(x0),quotient(x1,quotient(difference(x0,x1),x1)))))),x0) =
% j(x1)
%
% Current number of equations to process: 151
% Current number of ordered equations: 221
% Current number of rules: 266
% Rule [478]
% difference(quotient(C,quotient(difference(A,C),C)),quotient(C,quotient(
% difference(
% i(
% i(B)),C),C)))
% ->
% quotient(difference(A,quotient(i(i(B)),quotient(difference(C,i(i(B))),
% i(i(B))))),C) is composed into
% [478]
% difference(quotient(C,quotient(difference(A,C),C)),quotient(C,quotient(
% difference(
% i(i(B)),C),C)))
% ->
% quotient(difference(A,quotient(eta(B),i(quotient(B,quotient(difference(C,B),B))))),C)
% Rule [399]
% quotient(t(i(i(A)),B),quotient(difference(eta(A),t(i(i(A)),B)),t(
% i(i(A)),B)))
% <->
% quotient(quotient(i(i(A)),quotient(difference(B,i(i(A))),i(i(A)))),A) is composed into
% [399]
% quotient(t(i(i(A)),B),quotient(difference(eta(A),t(i(i(A)),B)),t(i(i(A)),B)))
% <-> quotient(quotient(eta(A),i(quotient(A,quotient(difference(B,A),A)))),A)
% New rule produced :
% [486]
% quotient(i(i(A)),quotient(difference(B,i(i(A))),i(i(A)))) ->
% quotient(eta(A),i(quotient(A,quotient(difference(B,A),A))))
% Rule
% [400]
% quotient(quotient(i(i(A)),quotient(difference(B,i(i(A))),i(i(A)))),A) <->
% quotient(t(i(i(A)),B),quotient(difference(eta(A),t(i(i(A)),B)),t(i(i(A)),B)))
% collapsed.
% Rule
% [425]
% quotient(quotient(quotient(i(i(A)),quotient(difference(quotient(B,quotient(
% difference(C,B),B)),
% i(i(A))),i(i(A)))),C),B) ->
% quotient(quotient(quotient(eta(A),quotient(quotient(i(quotient(B,quotient(
% difference(C,B),B))),A),
% eta(A))),C),B) collapsed.
% Rule
% [479]
% quotient(difference(eta(B),quotient(i(i(B)),quotient(difference(A,i(i(B))),
% i(i(B))))),A) -> B collapsed.
% Rule
% [481]
% quotient(i(i(A)),quotient(difference(A,i(i(A))),i(i(A)))) ->
% quotient(i(i(A)),j(A)) collapsed.
% Current number of equations to process: 165
% Current number of ordered equations: 210
% Current number of rules: 263
% New rule produced :
% [487] difference(i(A),quotient(eta(A),j(eta(A)))) -> j(j(A))
% Current number of equations to process: 164
% Current number of ordered equations: 210
% Current number of rules: 264
% New rule produced :
% [488] quotient(quotient(eta(A),j(eta(B))),B) -> quotient(eta(A),i(i(B)))
% Rule
% [339]
% quotient(quotient(quotient(eta(A),j(eta(A))),A),j(A)) ->
% quotient(eta(A),j(eta(A))) collapsed.
% Current number of equations to process: 164
% Current number of ordered equations: 210
% Current number of rules: 264
% New rule produced :
% [489] quotient(quotient(eta(A),j(eta(A))),j(j(A))) -> i(A)
% Current number of equations to process: 163
% Current number of ordered equations: 210
% Current number of rules: 265
% New rule produced :
% [490] quotient(eta(A),i(t(eta(A),B))) -> t(eta(A),quotient(eta(A),i(B)))
% Current number of equations to process: 162
% Current number of ordered equations: 210
% Current number of rules: 266
% New rule produced :
% [491] quotient(i(i(i(A))),j(A)) -> quotient(eta(A),j(eta(A)))
% Current number of equations to process: 161
% Current number of ordered equations: 210
% Current number of rules: 267
% New rule produced :
% [492] quotient(quotient(eta(A),j(eta(A))),i(A)) -> t(i(A),j(j(A)))
% Current number of equations to process: 160
% Current number of ordered equations: 210
% Current number of rules: 268
% New rule produced :
% [493] quotient(i(i(A)),j(A)) -> quotient(eta(A),i(quotient(A,j(A))))
% Current number of equations to process: 159
% Current number of ordered equations: 210
% Current number of rules: 269
% New rule produced :
% [494]
% difference(i(B),quotient(eta(B),i(t(i(B),A)))) ->
% quotient(quotient(quotient(A,i(B)),B),i(B))
% Current number of equations to process: 158
% Current number of ordered equations: 210
% Current number of rules: 270
% New rule produced :
% [495]
% quotient(difference(eta(B),quotient(eta(B),i(quotient(B,quotient(difference(A,B),B))))),A)
% -> B
% Current number of equations to process: 157
% Current number of ordered equations: 210
% Current number of rules: 271
% New rule produced :
% [496] quotient(quotient(eta(A),j(eta(A))),difference(j(A),eta(A))) -> i(A)
% Current number of equations to process: 156
% Current number of ordered equations: 210
% Current number of rules: 272
% New rule produced :
% [497]
% quotient(j(j(A)),quotient(difference(B,j(j(A))),j(j(A)))) <->
% quotient(quotient(difference(i(A),quotient(quotient(quotient(eta(A),i(B)),
% quotient(difference(eta(C),B),B)),
% quotient(difference(A,quotient(quotient(
% eta(A),
% i(B)),
% quotient(difference(
% eta(C),B),B))),
% quotient(quotient(eta(A),i(B)),quotient(
% difference(
% eta(C),B),B))))),A),
% eta(C))
% Current number of equations to process: 156
% Current number of ordered equations: 209
% Current number of rules: 273
% New rule produced :
% [498]
% quotient(quotient(difference(i(A),quotient(quotient(quotient(eta(A),i(B)),
% quotient(difference(eta(C),B),B)),
% quotient(difference(A,quotient(quotient(
% eta(A),
% i(B)),
% quotient(difference(
% eta(C),B),B))),
% quotient(quotient(eta(A),i(B)),quotient(
% difference(
% eta(C),B),B))))),A),
% eta(C)) <-> quotient(j(j(A)),quotient(difference(B,j(j(A))),j(j(A))))
% Current number of equations to process: 156
% Current number of ordered equations: 208
% Current number of rules: 274
% New rule produced :
% [499]
% quotient(quotient(A,quotient(difference(quotient(quotient(eta(B),i(C)),
% quotient(difference(eta(V_3),C),C)),A),A)),
% eta(V_3)) -> quotient(A,quotient(difference(quotient(eta(B),i(C)),A),A))
% Current number of equations to process: 156
% Current number of ordered equations: 207
% Current number of rules: 275
% New rule produced :
% [500]
% difference(eta(A),quotient(eta(A),i(quotient(quotient(B,quotient(difference(C,B),B)),
% eta(A))))) ->
% quotient(quotient(B,quotient(difference(C,B),B)),eta(A))
% Current number of equations to process: 155
% Current number of ordered equations: 207
% Current number of rules: 276
% New rule produced :
% [501]
% quotient(B,quotient(difference(quotient(C,quotient(difference(eta(A),C),C)),B),B))
% ->
% quotient(quotient(B,quotient(difference(C,B),B)),quotient(difference(
% eta(A),quotient(B,
% quotient(
% difference(C,B),B))),
% quotient(B,quotient(
% difference(C,B),B))))
% Rule
% [276]
% quotient(quotient(A,quotient(difference(quotient(B,quotient(difference(
% eta(C),B),B)),A),A)),
% quotient(A,quotient(difference(B,A),A))) ->
% t(quotient(A,quotient(difference(B,A),A)),eta(C)) collapsed.
% Rule
% [295]
% t(eta(A),quotient(B,quotient(difference(quotient(C,quotient(difference(
% eta(A),C),C)),B),B)))
% ->
% quotient(t(eta(A),B),quotient(difference(quotient(eta(A),i(C)),t(eta(A),B)),
% t(eta(A),B))) collapsed.
% Current number of equations to process: 156
% Current number of ordered equations: 203
% Current number of rules: 275
% New rule produced :
% [502] difference(i(A),i(i(i(i(A))))) -> quotient(j(j(A)),i(A))
% Current number of equations to process: 155
% Current number of ordered equations: 203
% Current number of rules: 276
% New rule produced :
% [503]
% difference(quotient(V_3,quotient(difference(A,V_3),V_3)),quotient(V_3,
% quotient(difference(
% quotient(
% eta(B),
% i(C)),V_3),V_3)))
% ->
% quotient(difference(A,quotient(quotient(eta(B),i(C)),quotient(difference(V_3,C),C))),V_3)
% Current number of equations to process: 156
% Current number of ordered equations: 201
% Current number of rules: 277
% New rule produced :
% [504]
% quotient(j(A),quotient(difference(B,j(A)),j(A))) <->
% quotient(difference(i(i(A)),quotient(quotient(eta(A),i(B)),quotient(difference(
% i(A),B),B))),
% i(A))
% Current number of equations to process: 156
% Current number of ordered equations: 200
% Current number of rules: 278
% New rule produced :
% [505]
% quotient(difference(i(i(A)),quotient(quotient(eta(A),i(B)),quotient(difference(
% i(A),B),B))),
% i(A)) <-> quotient(j(A),quotient(difference(B,j(A)),j(A)))
% Current number of equations to process: 156
% Current number of ordered equations: 199
% Current number of rules: 279
% New rule produced :
% [506]
% quotient(difference(i(A),quotient(eta(A),i(quotient(A,j(A))))),A) ->
% quotient(j(j(A)),quotient(eta(A),j(j(A))))
% Current number of equations to process: 155
% Current number of ordered equations: 199
% Current number of rules: 280
% New rule produced :
% [507]
% quotient(quotient(C,quotient(difference(quotient(V_3,quotient(difference(
% quotient(
% eta(A),
% i(B)),V_3),V_3)),C),C)),
% quotient(eta(A),i(B))) <->
% difference(quotient(eta(A),i(B)),quotient(eta(A),i(quotient(quotient(B,
% quotient(
% difference(C,B),B)),
% quotient(difference(V_3,
% quotient(B,
% quotient(
% difference(C,B),B))),
% quotient(B,quotient(
% difference(C,B),B)))))))
% Current number of equations to process: 155
% Current number of ordered equations: 198
% Current number of rules: 281
% New rule produced :
% [508]
% difference(quotient(eta(A),i(B)),quotient(eta(A),i(quotient(quotient(B,
% quotient(
% difference(C,B),B)),
% quotient(difference(V_3,
% quotient(B,
% quotient(
% difference(C,B),B))),
% quotient(B,quotient(
% difference(C,B),B)))))))
% <->
% quotient(quotient(C,quotient(difference(quotient(V_3,quotient(difference(
% quotient(
% eta(A),
% i(B)),V_3),V_3)),C),C)),
% quotient(eta(A),i(B)))
% Current number of equations to process: 155
% Current number of ordered equations: 197
% Current number of rules: 282
% New rule produced :
% [509]
% quotient(difference(i(A),quotient(quotient(eta(A),j(eta(B))),quotient(
% difference(A,
% quotient(
% eta(A),j(eta(B)))),
% quotient(
% eta(A),j(eta(B)))))),A)
% ->
% quotient(quotient(difference(i(A),quotient(quotient(eta(A),i(i(i(B)))),
% quotient(difference(A,i(i(B))),i(i(B))))),A),B)
% Current number of equations to process: 154
% Current number of ordered equations: 197
% Current number of rules: 283
% New rule produced :
% [510]
% quotient(quotient(quotient(eta(A),i(B)),quotient(difference(i(i(C)),B),B)),C)
% -> quotient(quotient(eta(A),i(B)),quotient(difference(eta(C),B),B))
% Current number of equations to process: 154
% Current number of ordered equations: 196
% Current number of rules: 284
% New rule produced :
% [511]
% difference(j(j(A)),quotient(quotient(j(j(A)),quotient(difference(B,j(j(A))),
% j(j(A)))),quotient(difference(
% quotient(C,
% j(j(A))),
% quotient(
% j(j(A)),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A))))),
% quotient(j(j(A)),
% quotient(difference(B,
% j(j(A))),
% j(j(A))))))) ->
% quotient(quotient(B,quotient(difference(C,B),B)),j(j(A)))
% Current number of equations to process: 154
% Current number of ordered equations: 195
% Current number of rules: 285
% New rule produced :
% [512]
% quotient(B,quotient(difference(quotient(C,quotient(difference(j(j(A)),C),C)),B),B))
% <->
% quotient(difference(j(j(A)),quotient(quotient(j(j(A)),quotient(difference(B,
% j(j(A))),
% j(j(A)))),quotient(
% difference(C,
% quotient(
% j(j(A)),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A))))),
% quotient(
% j(j(A)),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A))))))),
% quotient(difference(j(j(A)),difference(j(j(A)),quotient(quotient(j(j(A)),
% quotient(difference(B,
% j(j(A))),
% j(j(A)))),quotient(
% difference(C,
% quotient(
% j(j(A)),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A))))),
% quotient(
% j(j(A)),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A)))))))),
% difference(j(j(A)),quotient(quotient(j(j(A)),quotient(difference(B,j(j(A))),
% j(j(A)))),quotient(difference(C,
% quotient(
% j(j(A)),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A))))),
% quotient(j(j(A)),
% quotient(difference(B,
% j(j(A))),
% j(j(A)))))))))
% Current number of equations to process: 154
% Current number of ordered equations: 194
% Current number of rules: 286
% New rule produced :
% [513]
% quotient(difference(j(j(A)),quotient(quotient(j(j(A)),quotient(difference(B,
% j(j(A))),
% j(j(A)))),quotient(
% difference(C,
% quotient(
% j(j(A)),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A))))),
% quotient(
% j(j(A)),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A))))))),
% quotient(difference(j(j(A)),difference(j(j(A)),quotient(quotient(j(j(A)),
% quotient(difference(B,
% j(j(A))),
% j(j(A)))),quotient(
% difference(C,
% quotient(
% j(j(A)),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A))))),
% quotient(
% j(j(A)),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A)))))))),
% difference(j(j(A)),quotient(quotient(j(j(A)),quotient(difference(B,j(j(A))),
% j(j(A)))),quotient(difference(C,
% quotient(
% j(j(A)),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A))))),
% quotient(j(j(A)),
% quotient(difference(B,
% j(j(A))),
% j(j(A))))))))) <->
% quotient(B,quotient(difference(quotient(C,quotient(difference(j(j(A)),C),C)),B),B))
% Current number of equations to process: 154
% Current number of ordered equations: 193
% Current number of rules: 287
% New rule produced :
% [514]
% quotient(difference(i(A),quotient(quotient(quotient(B,quotient(difference(
% quotient(
% eta(C),
% i(quotient(C,
% quotient(
% difference(A,C),C)))),B),B)),A),
% quotient(difference(A,quotient(quotient(B,quotient(
% difference(
% quotient(
% eta(C),
% i(
% quotient(C,
% quotient(
% difference(A,C),C)))),B),B)),A)),
% quotient(quotient(B,quotient(difference(quotient(
% eta(C),
% i(quotient(C,
% quotient(
% difference(A,C),C)))),B),B)),A)))),A)
% <->
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% i(i(C)),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% Current number of equations to process: 152
% Current number of ordered equations: 194
% Current number of rules: 288
% New rule produced :
% [515]
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% i(i(C)),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% <->
% quotient(difference(i(A),quotient(quotient(quotient(B,quotient(difference(
% quotient(
% eta(C),
% i(quotient(C,
% quotient(
% difference(A,C),C)))),B),B)),A),
% quotient(difference(A,quotient(quotient(B,quotient(
% difference(
% quotient(
% eta(C),
% i(
% quotient(C,
% quotient(
% difference(A,C),C)))),B),B)),A)),
% quotient(quotient(B,quotient(difference(quotient(
% eta(C),
% i(quotient(C,
% quotient(
% difference(A,C),C)))),B),B)),A)))),A)
% Current number of equations to process: 152
% Current number of ordered equations: 193
% Current number of rules: 289
% New rule produced :
% [516]
% quotient(difference(i(A),quotient(difference(A,j(j(quotient(A,quotient(
% difference(B,A),A))))),
% quotient(difference(A,difference(A,j(j(quotient(A,
% quotient(
% difference(B,A),A)))))),
% difference(A,j(j(quotient(A,quotient(difference(B,A),A)))))))),A)
% -> j(j(quotient(A,quotient(difference(B,A),A))))
% Current number of equations to process: 151
% Current number of ordered equations: 193
% Current number of rules: 290
% New rule produced :
% [517]
% quotient(quotient(difference(A,B),quotient(difference(quotient(eta(C),
% i(quotient(C,quotient(
% difference(A,C),C)))),
% difference(A,B)),difference(A,B))),A)
% -> difference(A,quotient(B,quotient(difference(i(i(C)),B),B)))
% Current number of equations to process: 150
% Current number of ordered equations: 193
% Current number of rules: 291
% New rule produced :
% [518]
% difference(quotient(t(eta(A),B),quotient(difference(C,t(eta(A),B)),t(
% eta(A),B))),
% t(eta(A),quotient(B,quotient(difference(V_3,B),B)))) ->
% quotient(difference(C,t(eta(A),quotient(V_3,quotient(difference(B,V_3),V_3)))),
% t(eta(A),B))
% Current number of equations to process: 150
% Current number of ordered equations: 191
% Current number of rules: 292
% New rule produced :
% [519]
% difference(quotient(difference(C,B),quotient(difference(A,difference(C,B)),
% difference(C,B))),quotient(difference(
% i(difference(C,B)),B),
% difference(C,B))) ->
% quotient(difference(A,B),difference(C,B))
% Current number of equations to process: 150
% Current number of ordered equations: 190
% Current number of rules: 293
% New rule produced :
% [520]
% quotient(eta(A),i(quotient(j(eta(A)),quotient(difference(B,j(eta(A))),
% j(eta(A)))))) ->
% quotient(eta(eta(A)),i(B))
% Current number of equations to process: 149
% Current number of ordered equations: 190
% Current number of rules: 294
% New rule produced :
% [521]
% difference(difference(A,B),t(eta(difference(A,B)),quotient(difference(
% i(A),quotient(
% eta(difference(A,B)),
% i(A))),A)))
% ->
% quotient(quotient(j(difference(A,B)),quotient(difference(B,j(difference(A,B))),
% j(difference(A,B)))),difference(A,B))
% Current number of equations to process: 149
% Current number of ordered equations: 189
% Current number of rules: 295
% New rule produced :
% [522]
% difference(A,quotient(quotient(eta(A),i(B)),A)) <->
% quotient(quotient(j(A),quotient(difference(B,j(A)),j(A))),A)
% Current number of equations to process: 149
% Current number of ordered equations: 188
% Current number of rules: 296
% New rule produced :
% [523]
% quotient(quotient(j(A),quotient(difference(B,j(A)),j(A))),A) <->
% difference(A,quotient(quotient(eta(A),i(B)),A))
% Current number of equations to process: 149
% Current number of ordered equations: 187
% Current number of rules: 297
% New rule produced :
% [524]
% quotient(quotient(difference(i(A),quotient(quotient(quotient(eta(A),i(B)),
% quotient(difference(j(A),B),B)),
% quotient(difference(A,quotient(quotient(
% eta(A),
% i(B)),
% quotient(difference(
% j(A),B),B))),
% quotient(quotient(eta(A),i(B)),quotient(
% difference(
% j(A),B),B))))),A),
% j(A)) -> difference(j(A),quotient(eta(A),i(B)))
% Current number of equations to process: 149
% Current number of ordered equations: 186
% Current number of rules: 298
% New rule produced :
% [525]
% quotient(quotient(A,quotient(difference(quotient(eta(B),i(C)),A),A)),
% quotient(difference(V_3,quotient(A,quotient(difference(quotient(eta(B),i(C)),A),A))),
% quotient(A,quotient(difference(quotient(eta(B),i(C)),A),A)))) <->
% quotient(difference(i(A),quotient(quotient(quotient(quotient(eta(B),i(C)),
% quotient(difference(quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),C),C)),A),
% quotient(difference(A,quotient(quotient(quotient(
% eta(B),
% i(C)),
% quotient(difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),C),C)),A)),
% quotient(quotient(quotient(eta(B),i(C)),quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),C),C)),A)))),A)
% Current number of equations to process: 149
% Current number of ordered equations: 185
% Current number of rules: 299
% New rule produced :
% [526]
% quotient(difference(i(A),quotient(quotient(quotient(quotient(eta(B),i(C)),
% quotient(difference(quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),C),C)),A),
% quotient(difference(A,quotient(quotient(quotient(
% eta(B),
% i(C)),
% quotient(difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),C),C)),A)),
% quotient(quotient(quotient(eta(B),i(C)),quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),C),C)),A)))),A)
% <->
% quotient(quotient(A,quotient(difference(quotient(eta(B),i(C)),A),A)),
% quotient(difference(V_3,quotient(A,quotient(difference(quotient(eta(B),i(C)),A),A))),
% quotient(A,quotient(difference(quotient(eta(B),i(C)),A),A))))
% Current number of equations to process: 149
% Current number of ordered equations: 184
% Current number of rules: 300
% New rule produced :
% [527]
% quotient(difference(i(A),quotient(quotient(quotient(B,quotient(difference(
% quotient(
% quotient(
% eta(C),
% i(V_3)),
% quotient(
% difference(A,V_3),V_3)),B),B)),A),
% quotient(difference(A,quotient(quotient(B,quotient(
% difference(
% quotient(
% quotient(
% eta(C),
% i(V_3)),
% quotient(
% difference(A,V_3),V_3)),B),B)),A)),
% quotient(quotient(B,quotient(difference(quotient(
% quotient(
% eta(C),
% i(V_3)),
% quotient(
% difference(A,V_3),V_3)),B),B)),A)))),A)
% <->
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% quotient(eta(C),
% i(V_3)),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% Current number of equations to process: 149
% Current number of ordered equations: 183
% Current number of rules: 301
% New rule produced :
% [528]
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% quotient(eta(C),
% i(V_3)),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% <->
% quotient(difference(i(A),quotient(quotient(quotient(B,quotient(difference(
% quotient(
% quotient(
% eta(C),
% i(V_3)),
% quotient(
% difference(A,V_3),V_3)),B),B)),A),
% quotient(difference(A,quotient(quotient(B,quotient(
% difference(
% quotient(
% quotient(
% eta(C),
% i(V_3)),
% quotient(
% difference(A,V_3),V_3)),B),B)),A)),
% quotient(quotient(B,quotient(difference(quotient(
% quotient(
% eta(C),
% i(V_3)),
% quotient(
% difference(A,V_3),V_3)),B),B)),A)))),A)
% Current number of equations to process: 149
% Current number of ordered equations: 182
% Current number of rules: 302
% New rule produced :
% [529]
% quotient(quotient(difference(A,B),quotient(difference(quotient(quotient(
% eta(C),
% i(V_3)),
% quotient(difference(A,V_3),V_3)),
% difference(A,B)),difference(A,B))),A)
% ->
% difference(A,quotient(B,quotient(difference(quotient(eta(C),i(V_3)),B),B)))
% Current number of equations to process: 149
% Current number of ordered equations: 181
% Current number of rules: 303
% New rule produced :
% [530]
% quotient(quotient(difference(i(A),quotient(quotient(B,quotient(difference(
% i(A),B),B)),
% quotient(quotient(difference(A,quotient(B,
% quotient(
% difference(
% eta(A),B),B))),A),
% quotient(B,quotient(difference(i(A),B),B))))),A),
% difference(i(A),quotient(eta(A),i(B)))) ->
% t(difference(i(A),quotient(eta(A),i(B))),i(A))
% Current number of equations to process: 148
% Current number of ordered equations: 181
% Current number of rules: 304
% Rule [450]
% quotient(difference(A,quotient(difference(i(B),quotient(quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B),
% quotient(difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)),
% quotient(quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)))),B)),V_3)
% <->
% difference(quotient(V_3,quotient(difference(A,V_3),V_3)),quotient(V_3,
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(C,B),B)),V_3),V_3))) is composed into
% [450]
% quotient(difference(A,quotient(difference(i(B),quotient(quotient(quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B),
% quotient(difference(B,
% quotient(quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)),
% quotient(quotient(C,quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)))),B)),V_3)
% <->
% quotient(difference(A,quotient(quotient(B,quotient(difference(C,B),B)),
% quotient(difference(V_3,quotient(B,quotient(difference(C,B),B))),
% quotient(B,quotient(difference(C,B),B))))),V_3)
% New rule produced :
% [531]
% difference(quotient(A,quotient(difference(B,A),A)),quotient(A,quotient(
% difference(C,A),A)))
% -> quotient(difference(B,quotient(C,quotient(difference(A,C),C))),A)
% Rule
% [302]
% difference(difference(quotient(A,quotient(difference(B,A),A)),quotient(A,
% quotient(
% difference(C,A),A))),
% difference(B,quotient(C,quotient(difference(A,C),C)))) -> A collapsed.
% Rule
% [356]
% difference(quotient(C,quotient(difference(A,C),C)),quotient(C,quotient(
% difference(
% j(j(B)),C),C)))
% ->
% quotient(difference(A,quotient(j(j(B)),quotient(difference(C,j(j(B))),
% j(j(B))))),C) collapsed.
% Rule
% [374]
% difference(quotient(A,quotient(difference(i(B),A),A)),quotient(A,quotient(
% difference(
% eta(B),A),A)))
% -> quotient(difference(i(B),quotient(eta(B),i(A))),A) collapsed.
% Rule
% [426]
% difference(quotient(A,quotient(difference(quotient(B,C),A),A)),quotient(A,
% quotient(
% difference(B,A),A)))
% ->
% quotient(difference(quotient(B,C),quotient(B,quotient(difference(A,B),B))),A)
% collapsed.
% Rule
% [449]
% quotient(difference(A,quotient(B,quotient(difference(C,B),B))),difference(
% quotient(C,
% quotient(
% difference(A,C),C)),
% quotient(C,
% quotient(
% difference(B,C),C))))
% -> t(quotient(difference(A,quotient(B,quotient(difference(C,B),B))),C),C)
% collapsed.
% Rule
% [451]
% difference(quotient(V_3,quotient(difference(A,V_3),V_3)),quotient(V_3,
% quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),V_3),V_3)))
% <->
% quotient(difference(A,quotient(difference(i(B),quotient(quotient(quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B),
% quotient(difference(B,
% quotient(quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)),
% quotient(quotient(C,quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)))),B)),V_3)
% collapsed.
% Rule
% [477]
% difference(quotient(j(j(A)),quotient(difference(B,j(j(A))),j(j(A)))),
% quotient(j(j(A)),quotient(difference(C,j(j(A))),j(j(A))))) ->
% quotient(difference(B,quotient(C,quotient(difference(j(j(A)),C),C))),j(j(A)))
% collapsed.
% Rule
% [478]
% difference(quotient(C,quotient(difference(A,C),C)),quotient(C,quotient(
% difference(
% i(i(B)),C),C)))
% ->
% quotient(difference(A,quotient(eta(B),i(quotient(B,quotient(difference(C,B),B))))),C)
% collapsed.
% Rule
% [503]
% difference(quotient(V_3,quotient(difference(A,V_3),V_3)),quotient(V_3,
% quotient(difference(
% quotient(
% eta(B),
% i(C)),V_3),V_3)))
% ->
% quotient(difference(A,quotient(quotient(eta(B),i(C)),quotient(difference(V_3,C),C))),V_3)
% collapsed.
% Current number of equations to process: 159
% Current number of ordered equations: 167
% Current number of rules: 296
% New rule produced :
% [532]
% quotient(quotient(quotient(C,quotient(difference(quotient(A,quotient(
% difference(
% i(i(B)),A),A)),C),C)),
% i(i(B))),A) ->
% quotient(difference(i(i(B)),quotient(quotient(eta(B),quotient(quotient(
% i(C),B),
% eta(B))),quotient(
% difference(A,
% quotient(
% eta(B),
% quotient(
% quotient(
% i(C),B),
% eta(B)))),
% quotient(
% eta(B),
% quotient(
% quotient(
% i(C),B),
% eta(B)))))),A)
% Current number of equations to process: 158
% Current number of ordered equations: 167
% Current number of rules: 297
% New rule produced :
% [533]
% quotient(quotient(C,quotient(difference(quotient(V_3,quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),V_3),V_3)),C),C)),
% quotient(A,quotient(difference(B,A),A))) <->
% difference(quotient(A,quotient(difference(B,A),A)),quotient(quotient(
% difference(
% i(A),quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(
% difference(A,
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A),
% quotient(difference(V_3,
% quotient(
% difference(
% i(A),quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(
% difference(A,
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A)),
% quotient(difference(
% i(A),quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(
% difference(A,
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A))))
% Current number of equations to process: 158
% Current number of ordered equations: 166
% Current number of rules: 298
% New rule produced :
% [534]
% difference(quotient(A,quotient(difference(B,A),A)),quotient(quotient(
% difference(
% i(A),quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(
% difference(A,
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A),
% quotient(difference(V_3,
% quotient(
% difference(
% i(A),quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(
% difference(A,
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A)),
% quotient(difference(
% i(A),quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(
% difference(A,
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A))))
% <->
% quotient(quotient(C,quotient(difference(quotient(V_3,quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),V_3),V_3)),C),C)),
% quotient(A,quotient(difference(B,A),A)))
% Current number of equations to process: 158
% Current number of ordered equations: 165
% Current number of rules: 299
% New rule produced :
% [535]
% quotient(quotient(quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),V_3),C)
% <->
% quotient(quotient(quotient(difference(i(A),quotient(quotient(quotient(B,
% quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(V_3,C),C))),
% quotient(C,
% quotient(
% difference(V_3,C),C)))),B),B)),A),
% quotient(difference(A,quotient(
% quotient(B,
% quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(V_3,C),C))),
% quotient(C,
% quotient(
% difference(V_3,C),C)))),B),B)),A)),
% quotient(quotient(B,quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(V_3,C),C))),
% quotient(C,
% quotient(
% difference(V_3,C),C)))),B),B)),A)))),A),V_3),C)
% Current number of equations to process: 158
% Current number of ordered equations: 164
% Current number of rules: 300
% New rule produced :
% [536]
% quotient(quotient(quotient(difference(i(A),quotient(quotient(quotient(B,
% quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(V_3,C),C))),
% quotient(C,
% quotient(
% difference(V_3,C),C)))),B),B)),A),
% quotient(difference(A,quotient(
% quotient(B,
% quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(V_3,C),C))),
% quotient(C,
% quotient(
% difference(V_3,C),C)))),B),B)),A)),
% quotient(quotient(B,quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(V_3,C),C))),
% quotient(C,
% quotient(
% difference(V_3,C),C)))),B),B)),A)))),A),V_3),C)
% <->
% quotient(quotient(quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),V_3),C)
% Current number of equations to process: 158
% Current number of ordered equations: 163
% Current number of rules: 301
% New rule produced :
% [537]
% quotient(quotient(difference(i(A),quotient(quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(A,quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A),
% quotient(difference(V_3,quotient(difference(i(A),quotient(quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(A,
% quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,
% quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A)),
% quotient(difference(i(A),quotient(quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(A,quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A)))
% <->
% quotient(difference(i(quotient(A,quotient(difference(B,A),A))),quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),V_3),V_3)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),V_3),V_3)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),V_3),V_3)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A)))))),
% quotient(A,quotient(difference(B,A),A)))
% Current number of equations to process: 158
% Current number of ordered equations: 162
% Current number of rules: 302
% New rule produced :
% [538]
% quotient(difference(i(quotient(A,quotient(difference(B,A),A))),quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),V_3),V_3)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),V_3),V_3)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),V_3),V_3)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A)))))),
% quotient(A,quotient(difference(B,A),A))) <->
% quotient(quotient(difference(i(A),quotient(quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(A,quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A),
% quotient(difference(V_3,quotient(difference(i(A),quotient(quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(A,
% quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,
% quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A)),
% quotient(difference(i(A),quotient(quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(A,quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A)))
% Current number of equations to process: 158
% Current number of ordered equations: 161
% Current number of rules: 303
% Rule [350]
% difference(A,quotient(quotient(A,B),quotient(difference(C,quotient(A,B)),
% quotient(A,B)))) <->
% quotient(difference(B,quotient(C,quotient(difference(quotient(A,B),C),C))),
% quotient(A,B)) is composed into [350]
% difference(A,quotient(quotient(A,B),
% quotient(difference(C,
% quotient(A,B)),
% quotient(A,B)))) <->
% quotient(quotient(quotient(difference(B,C),
% quotient(difference(A,
% difference(B,C)),
% difference(B,C))),B),
% quotient(A,B))
% New rule produced :
% [539]
% difference(A,quotient(B,quotient(difference(quotient(C,A),B),B))) ->
% quotient(quotient(difference(A,B),quotient(difference(C,difference(A,B)),
% difference(A,B))),A)
% Rule
% [351]
% quotient(difference(B,quotient(C,quotient(difference(quotient(A,B),C),C))),
% quotient(A,B)) <->
% difference(A,quotient(quotient(A,B),quotient(difference(C,quotient(A,B)),
% quotient(A,B)))) collapsed.
% Rule
% [511]
% difference(j(j(A)),quotient(quotient(j(j(A)),quotient(difference(B,j(j(A))),
% j(j(A)))),quotient(difference(
% quotient(C,
% j(j(A))),
% quotient(
% j(j(A)),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A))))),
% quotient(j(j(A)),
% quotient(difference(B,
% j(j(A))),
% j(j(A))))))) ->
% quotient(quotient(B,quotient(difference(C,B),B)),j(j(A))) collapsed.
% Current number of equations to process: 161
% Current number of ordered equations: 157
% Current number of rules: 302
% New rule produced :
% [540]
% quotient(difference(B,quotient(difference(i(difference(A,C)),C),difference(A,C))),A)
% <-> difference(quotient(A,quotient(difference(B,A),A)),C)
% Current number of equations to process: 161
% Current number of ordered equations: 155
% Current number of rules: 303
% New rule produced :
% [541]
% difference(quotient(A,quotient(difference(B,A),A)),C) <->
% quotient(difference(B,quotient(difference(i(difference(A,C)),C),difference(A,C))),A)
% Current number of equations to process: 161
% Current number of ordered equations: 153
% Current number of rules: 304
% New rule produced :
% [542]
% difference(quotient(difference(i(A),quotient(quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(A,quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(V_3,
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% <->
% quotient(difference(C,quotient(V_3,quotient(difference(quotient(A,quotient(
% difference(B,A),A)),V_3),V_3))),
% quotient(A,quotient(difference(B,A),A)))
% Current number of equations to process: 161
% Current number of ordered equations: 152
% Current number of rules: 305
% New rule produced :
% [543]
% difference(quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(difference(i(A),quotient(quotient(quotient(B,quotient(difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),B),B)),A),
% quotient(difference(A,quotient(quotient(B,quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),B),B)),A)),
% quotient(quotient(B,quotient(difference(quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),B),B)),A)))),A))
% ->
% quotient(difference(C,quotient(V_3,quotient(difference(quotient(A,quotient(
% difference(B,A),A)),V_3),V_3))),
% quotient(A,quotient(difference(B,A),A)))
% Current number of equations to process: 162
% Current number of ordered equations: 149
% Current number of rules: 306
% New rule produced :
% [544]
% quotient(difference(C,quotient(V_3,quotient(difference(quotient(A,quotient(
% difference(B,A),A)),V_3),V_3))),
% quotient(A,quotient(difference(B,A),A))) <->
% difference(quotient(difference(i(A),quotient(quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(A,quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(V_3,
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% Current number of equations to process: 162
% Current number of ordered equations: 148
% Current number of rules: 307
% New rule produced :
% [545]
% quotient(A,t(t(quotient(A,B),B),quotient(A,B))) ->
% t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B))
% Current number of equations to process: 162
% Current number of ordered equations: 147
% Current number of rules: 308
% New rule produced :
% [546]
% quotient(difference(i(t(eta(A),B)),quotient(quotient(t(eta(A),C),quotient(
% difference(
% eta(
% t(eta(A),B)),
% t(eta(A),C)),
% t(eta(A),C))),
% quotient(difference(t(eta(A),B),quotient(
% t(
% eta(A),C),
% quotient(
% difference(
% eta(
% t(
% eta(A),B)),
% t(
% eta(A),C)),
% t(
% eta(A),C)))),
% quotient(t(eta(A),C),quotient(difference(
% eta(
% t(eta(A),B)),
% t(eta(A),C)),
% t(eta(A),C)))))),
% t(eta(A),B)) <->
% quotient(t(eta(A),quotient(B,quotient(difference(C,B),B))),quotient(difference(
% eta(
% t(
% eta(A),B)),
% t(
% eta(A),
% quotient(B,
% quotient(
% difference(C,B),B)))),
% t(eta(A),quotient(B,
% quotient(
% difference(C,B),B)))))
% Current number of equations to process: 162
% Current number of ordered equations: 146
% Current number of rules: 309
% New rule produced :
% [547]
% quotient(t(eta(A),quotient(B,quotient(difference(C,B),B))),quotient(difference(
% eta(
% t(
% eta(A),B)),
% t(
% eta(A),
% quotient(B,
% quotient(
% difference(C,B),B)))),
% t(eta(A),quotient(B,
% quotient(
% difference(C,B),B)))))
% <->
% quotient(difference(i(t(eta(A),B)),quotient(quotient(t(eta(A),C),quotient(
% difference(
% eta(
% t(eta(A),B)),
% t(eta(A),C)),
% t(eta(A),C))),
% quotient(difference(t(eta(A),B),quotient(
% t(
% eta(A),C),
% quotient(
% difference(
% eta(
% t(
% eta(A),B)),
% t(
% eta(A),C)),
% t(
% eta(A),C)))),
% quotient(t(eta(A),C),quotient(difference(
% eta(
% t(eta(A),B)),
% t(eta(A),C)),
% t(eta(A),C)))))),
% t(eta(A),B))
% Current number of equations to process: 162
% Current number of ordered equations: 145
% Current number of rules: 310
% New rule produced :
% [548]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(
% i(A),B),B)),A),A),A)))
% ->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(j(A),difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% Current number of equations to process: 162
% Current number of ordered equations: 144
% Current number of rules: 311
% New rule produced :
% [549]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),A),A),A)))
% ->
% quotient(difference(A,quotient(difference(quotient(A,j(A)),quotient(A,
% quotient(quotient(
% difference(B,A),A),A))),
% quotient(difference(j(A),difference(quotient(A,j(A)),
% quotient(A,quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))))),
% j(A))
% Current number of equations to process: 162
% Current number of ordered equations: 143
% Current number of rules: 312
% New rule produced :
% [550]
% quotient(difference(i(difference(A,B)),quotient(eta(A),i(difference(A,B)))),
% difference(A,B)) ->
% difference(A,quotient(B,quotient(difference(eta(A),B),B)))
% Current number of equations to process: 161
% Current number of ordered equations: 143
% Current number of rules: 313
% New rule produced :
% [551]
% quotient(quotient(quotient(eta(A),i(B)),quotient(difference(quotient(C,
% quotient(
% difference(
% eta(V_3),C),C)),B),B)),
% eta(V_3)) -> quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B))
% Current number of equations to process: 161
% Current number of ordered equations: 142
% Current number of rules: 314
% New rule produced :
% [552]
% quotient(quotient(difference(i(A),quotient(quotient(quotient(B,quotient(
% difference(
% quotient(
% eta(C),
% i(quotient(C,
% quotient(
% difference(A,C),C)))),B),B)),A),
% quotient(difference(A,quotient(quotient(B,
% quotient(
% difference(
% quotient(
% eta(C),
% i(quotient(C,
% quotient(
% difference(A,C),C)))),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(
% eta(C),
% i(quotient(C,
% quotient(
% difference(A,C),C)))),B),B)),A)))),A),C)
% <->
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% eta(C),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% Current number of equations to process: 159
% Current number of ordered equations: 143
% Current number of rules: 315
% New rule produced :
% [553]
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% eta(C),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% <->
% quotient(quotient(difference(i(A),quotient(quotient(quotient(B,quotient(
% difference(
% quotient(
% eta(C),
% i(quotient(C,
% quotient(
% difference(A,C),C)))),B),B)),A),
% quotient(difference(A,quotient(quotient(B,
% quotient(
% difference(
% quotient(
% eta(C),
% i(quotient(C,
% quotient(
% difference(A,C),C)))),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(
% eta(C),
% i(quotient(C,
% quotient(
% difference(A,C),C)))),B),B)),A)))),A),C)
% Current number of equations to process: 159
% Current number of ordered equations: 142
% Current number of rules: 316
% New rule produced :
% [554]
% quotient(difference(B,quotient(difference(i(quotient(B,quotient(difference(C,B),B))),
% quotient(quotient(A,quotient(B,quotient(
% difference(C,B),B))),
% quotient(difference(quotient(B,quotient(
% difference(C,B),B)),
% quotient(A,quotient(B,quotient(
% difference(C,B),B)))),
% quotient(A,quotient(B,quotient(difference(C,B),B)))))),
% quotient(B,quotient(difference(C,B),B)))),quotient(A,
% quotient(B,
% quotient(
% difference(C,B),B))))
% ->
% quotient(quotient(quotient(quotient(difference(quotient(difference(C,B),B),
% quotient(A,quotient(B,quotient(difference(C,B),B)))),
% quotient(difference(B,difference(quotient(
% difference(C,B),B),
% quotient(A,quotient(B,
% quotient(
% difference(C,B),B))))),
% difference(quotient(difference(C,B),B),quotient(A,
% quotient(B,
% quotient(
% difference(C,B),B)))))),
% quotient(difference(C,B),B)),quotient(B,quotient(difference(C,B),B))),
% quotient(A,quotient(B,quotient(difference(C,B),B))))
% Current number of equations to process: 158
% Current number of ordered equations: 142
% Current number of rules: 317
% New rule produced :
% [555]
% quotient(eta(A),i(quotient(difference(i(B),quotient(quotient(j(quotient(
% eta(A),
% i(B))),
% quotient(difference(
% eta(quotient(
% eta(A),
% i(B))),
% j(quotient(
% eta(A),
% i(B)))),
% j(quotient(eta(A),i(B))))),
% quotient(difference(B,quotient(
% j(quotient(
% eta(A),
% i(B))),
% quotient(
% difference(
% eta(
% quotient(
% eta(A),
% i(B))),
% j(quotient(
% eta(A),
% i(B)))),
% j(quotient(
% eta(A),
% i(B)))))),
% quotient(j(quotient(eta(A),i(B))),
% quotient(difference(eta(quotient(
% eta(A),
% i(B))),
% j(quotient(eta(A),i(B)))),
% j(quotient(eta(A),i(B)))))))),B)))
% -> quotient(eta(quotient(eta(A),i(B))),j(eta(quotient(eta(A),i(B)))))
% Current number of equations to process: 158
% Current number of ordered equations: 141
% Current number of rules: 318
% New rule produced :
% [556]
% difference(quotient(eta(A),i(B)),quotient(eta(A),i(quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% eta(A),
% i(B)),
% j(B))),B),
% quotient(difference(C,
% quotient(
% difference(
% i(B),quotient(
% quotient(
% eta(A),
% i(B)),
% j(B))),B)),
% quotient(difference(
% i(B),quotient(
% quotient(
% eta(A),
% i(B)),
% j(B))),B))))))
% ->
% t(quotient(eta(A),i(B)),quotient(C,quotient(difference(quotient(eta(A),i(B)),C),C)))
% Current number of equations to process: 158
% Current number of ordered equations: 140
% Current number of rules: 319
% New rule produced :
% [557]
% quotient(quotient(A,quotient(difference(quotient(quotient(difference(
% i(B),quotient(
% quotient(
% eta(B),
% i(i(i(C)))),
% quotient(
% difference(B,
% i(i(C))),
% i(i(C))))),B),C),A),A)),
% eta(C)) -> quotient(A,quotient(difference(j(j(B)),A),A))
% Current number of equations to process: 157
% Current number of ordered equations: 140
% Current number of rules: 320
% New rule produced :
% [558]
% quotient(difference(quotient(B,quotient(difference(eta(A),B),B)),quotient(
% difference(
% i(B),
% quotient(
% j(quotient(B,
% quotient(
% difference(
% eta(A),B),B))),
% quotient(
% difference(B,
% j(quotient(B,
% quotient(
% difference(
% eta(A),B),B)))),
% j(quotient(B,
% quotient(
% difference(
% eta(A),B),B)))))),B)),
% j(quotient(B,quotient(difference(eta(A),B),B)))) -> j(eta(A))
% Current number of equations to process: 157
% Current number of ordered equations: 139
% Current number of rules: 321
% New rule produced :
% [559]
% quotient(quotient(difference(A,quotient(quotient(quotient(eta(B),i(C)),
% quotient(difference(A,C),C)),
% quotient(difference(j(A),quotient(quotient(
% eta(B),
% i(C)),
% quotient(difference(A,C),C))),
% quotient(quotient(eta(B),i(C)),quotient(
% difference(A,C),C))))),
% j(A)),A) -> difference(A,quotient(eta(A),i(quotient(eta(B),i(C)))))
% Current number of equations to process: 155
% Current number of ordered equations: 139
% Current number of rules: 322
% New rule produced :
% [560]
% difference(i(A),quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B)))
% <->
% quotient(quotient(difference(i(A),quotient(quotient(difference(i(B),quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B),
% quotient(
% difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B)),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B)))),B),
% quotient(difference(A,quotient(difference(
% i(B),
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B),
% quotient(
% difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B)),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B)))),B)),
% quotient(difference(i(B),quotient(quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B),
% quotient(difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B)),
% quotient(quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B)))),B)))),A),
% i(A))
% Current number of equations to process: 155
% Current number of ordered equations: 138
% Current number of rules: 323
% New rule produced :
% [561]
% quotient(quotient(difference(i(A),quotient(quotient(difference(i(B),quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B),
% quotient(
% difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B)),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B)))),B),
% quotient(difference(A,quotient(difference(
% i(B),
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B),
% quotient(
% difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B)),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B)))),B)),
% quotient(difference(i(B),quotient(quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B),
% quotient(difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B)),
% quotient(quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B)))),B)))),A),
% i(A)) <->
% difference(i(A),quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B)))
% Current number of equations to process: 155
% Current number of ordered equations: 137
% Current number of rules: 324
% New rule produced :
% [562]
% quotient(difference(B,quotient(difference(i(quotient(B,j(B))),quotient(
% quotient(A,
% quotient(B,
% j(B))),
% quotient(
% difference(
% quotient(B,
% j(B)),quotient(A,
% quotient(B,
% j(B)))),
% quotient(A,
% quotient(B,
% j(B)))))),
% quotient(B,j(B)))),quotient(A,quotient(B,j(B)))) ->
% quotient(quotient(quotient(quotient(difference(j(B),quotient(A,quotient(B,
% j(B)))),
% quotient(difference(B,difference(j(B),quotient(A,
% quotient(B,
% j(B))))),
% difference(j(B),quotient(A,quotient(B,j(B)))))),
% j(B)),quotient(B,j(B))),quotient(A,quotient(B,j(B))))
% Current number of equations to process: 154
% Current number of ordered equations: 137
% Current number of rules: 325
% New rule produced :
% [563]
% difference(t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B)),A) ->
% t(t(quotient(A,B),B),quotient(A,B))
% Current number of equations to process: 154
% Current number of ordered equations: 136
% Current number of rules: 326
% New rule produced :
% [564]
% difference(quotient(eta(B),quotient(quotient(i(C),B),eta(B))),quotient(
% eta(B),
% quotient(
% quotient(
% i(quotient(C,
% quotient(
% difference(A,C),C))),B),
% eta(B)))) ->
% quotient(quotient(quotient(A,quotient(difference(quotient(eta(B),quotient(
% quotient(
% i(C),B),
% eta(B))),A),A)),C),
% i(i(B)))
% Current number of equations to process: 154
% Current number of ordered equations: 134
% Current number of rules: 327
% New rule produced :
% [565]
% difference(B,quotient(quotient(B,quotient(difference(i(A),B),B)),quotient(
% difference(
% eta(A),
% quotient(B,
% quotient(
% difference(
% i(A),B),B))),
% quotient(B,
% quotient(
% difference(
% i(A),B),B)))))
% -> j(A)
% Current number of equations to process: 154
% Current number of ordered equations: 133
% Current number of rules: 328
% New rule produced :
% [566]
% difference(quotient(j(j(A)),quotient(difference(B,j(j(A))),j(j(A)))),
% quotient(difference(i(A),quotient(quotient(quotient(eta(A),i(B)),j(B)),
% quotient(difference(A,quotient(quotient(eta(A),i(B)),
% j(B))),quotient(quotient(
% eta(A),
% i(B)),
% j(B))))),A)) ->
% quotient(t(B,quotient(j(j(A)),quotient(difference(B,j(j(A))),j(j(A))))),
% j(j(A)))
% Current number of equations to process: 154
% Current number of ordered equations: 132
% Current number of rules: 329
% New rule produced :
% [567]
% quotient(difference(i(i(A)),t(A,eta(A))),i(A)) ->
% quotient(quotient(difference(j(eta(A)),x1),quotient(difference(eta(eta(A)),
% difference(j(eta(A)),x1)),
% difference(j(eta(A)),x1))),
% difference(eta(A),x1))
% Current number of equations to process: 153
% Current number of ordered equations: 132
% Current number of rules: 330
% New rule produced :
% [568]
% quotient(quotient(A,quotient(difference(t(eta(B),quotient(C,quotient(
% difference(V_3,C),C))),A),A)),
% t(eta(B),V_3)) <->
% difference(t(eta(B),V_3),quotient(quotient(t(eta(B),V_3),quotient(difference(A,
% t(eta(B),V_3)),
% t(eta(B),V_3))),
% quotient(difference(t(eta(B),C),quotient(t(eta(B),V_3),
% quotient(difference(A,
% t(eta(B),V_3)),
% t(eta(B),V_3)))),
% quotient(t(eta(B),V_3),quotient(difference(A,
% t(eta(B),V_3)),
% t(eta(B),V_3))))))
% Current number of equations to process: 153
% Current number of ordered equations: 130
% Current number of rules: 331
% New rule produced :
% [569]
% difference(t(eta(B),V_3),quotient(quotient(t(eta(B),V_3),quotient(difference(A,
% t(eta(B),V_3)),
% t(eta(B),V_3))),
% quotient(difference(t(eta(B),C),quotient(t(eta(B),V_3),
% quotient(difference(A,
% t(eta(B),V_3)),
% t(eta(B),V_3)))),
% quotient(t(eta(B),V_3),quotient(difference(A,
% t(eta(B),V_3)),
% t(eta(B),V_3)))))) <->
% quotient(quotient(A,quotient(difference(t(eta(B),quotient(C,quotient(
% difference(V_3,C),C))),A),A)),
% t(eta(B),V_3))
% Current number of equations to process: 153
% Current number of ordered equations: 128
% Current number of rules: 332
% New rule produced :
% [570]
% quotient(quotient(t(eta(A),C),quotient(difference(quotient(V_3,quotient(
% difference(
% t(eta(A),B),V_3),V_3)),
% t(eta(A),C)),t(eta(A),C))),t(eta(A),B))
% <->
% difference(t(eta(A),B),quotient(t(eta(A),quotient(B,quotient(difference(C,B),B))),
% quotient(difference(V_3,t(eta(A),quotient(B,quotient(
% difference(C,B),B)))),
% t(eta(A),quotient(B,quotient(difference(C,B),B))))))
% Current number of equations to process: 153
% Current number of ordered equations: 126
% Current number of rules: 333
% New rule produced :
% [571]
% difference(t(eta(A),B),quotient(t(eta(A),quotient(B,quotient(difference(C,B),B))),
% quotient(difference(V_3,t(eta(A),quotient(B,quotient(
% difference(C,B),B)))),
% t(eta(A),quotient(B,quotient(difference(C,B),B))))))
% <->
% quotient(quotient(t(eta(A),C),quotient(difference(quotient(V_3,quotient(
% difference(
% t(eta(A),B),V_3),V_3)),
% t(eta(A),C)),t(eta(A),C))),t(eta(A),B))
% Current number of equations to process: 153
% Current number of ordered equations: 124
% Current number of rules: 334
% New rule produced :
% [572]
% difference(quotient(eta(B),i(quotient(C,quotient(difference(V_3,C),C)))),
% quotient(eta(B),i(quotient(C,quotient(difference(quotient(V_3,quotient(
% difference(A,V_3),V_3)),C),C)))))
% ->
% quotient(quotient(quotient(A,quotient(difference(quotient(eta(B),i(quotient(C,
% quotient(
% difference(V_3,C),C)))),A),A)),V_3),
% quotient(eta(B),i(C)))
% Current number of equations to process: 153
% Current number of ordered equations: 122
% Current number of rules: 335
% New rule produced :
% [573]
% quotient(difference(quotient(eta(B),i(C)),quotient(quotient(eta(B),i(
% quotient(C,
% quotient(
% difference(V_3,C),C)))),
% quotient(difference(A,quotient(C,
% quotient(
% difference(V_3,C),C))),
% quotient(C,quotient(difference(V_3,C),C))))),A)
% <->
% quotient(quotient(quotient(V_3,quotient(difference(quotient(A,quotient(
% difference(
% quotient(
% eta(B),
% i(C)),A),A)),V_3),V_3)),
% quotient(eta(B),i(C))),A)
% Current number of equations to process: 152
% Current number of ordered equations: 123
% Current number of rules: 336
% New rule produced :
% [574]
% quotient(quotient(quotient(V_3,quotient(difference(quotient(A,quotient(
% difference(
% quotient(
% eta(B),
% i(C)),A),A)),V_3),V_3)),
% quotient(eta(B),i(C))),A) <->
% quotient(difference(quotient(eta(B),i(C)),quotient(quotient(eta(B),i(
% quotient(C,
% quotient(
% difference(V_3,C),C)))),
% quotient(difference(A,quotient(C,
% quotient(
% difference(V_3,C),C))),
% quotient(C,quotient(difference(V_3,C),C))))),A)
% Current number of equations to process: 152
% Current number of ordered equations: 122
% Current number of rules: 337
% New rule produced :
% [575]
% quotient(difference(i(quotient(A,i(i(B)))),quotient(i(i(B)),difference(
% quotient(A,
% i(i(B))),B))),
% quotient(A,i(i(B)))) -> quotient(A,B)
% Current number of equations to process: 151
% Current number of ordered equations: 121
% Current number of rules: 338
% New rule produced :
% [576]
% quotient(difference(i(A),quotient(quotient(quotient(difference(i(B),quotient(
% quotient(
% eta(B),
% i(
% quotient(C,
% quotient(
% difference(A,C),C)))),
% quotient(
% difference(B,
% quotient(C,
% quotient(
% difference(A,C),C))),
% quotient(C,
% quotient(
% difference(A,C),C))))),B),A),
% quotient(difference(A,quotient(quotient(difference(
% i(B),
% quotient(
% quotient(
% eta(B),
% i(quotient(C,
% quotient(
% difference(A,C),C)))),
% quotient(
% difference(B,
% quotient(C,
% quotient(
% difference(A,C),C))),
% quotient(C,
% quotient(
% difference(A,C),C))))),B),A)),
% quotient(quotient(difference(i(B),quotient(quotient(
% eta(B),
% i(
% quotient(C,
% quotient(
% difference(A,C),C)))),
% quotient(difference(B,
% quotient(C,
% quotient(
% difference(A,C),C))),
% quotient(C,
% quotient(difference(A,C),C))))),B),A)))),A)
% <->
% quotient(quotient(A,quotient(difference(j(j(B)),A),A)),quotient(difference(C,
% quotient(A,
% quotient(
% difference(
% j(j(B)),A),A))),
% quotient(A,quotient(
% difference(
% j(j(B)),A),A))))
% Current number of equations to process: 149
% Current number of ordered equations: 122
% Current number of rules: 339
% New rule produced :
% [577]
% quotient(quotient(A,quotient(difference(j(j(B)),A),A)),quotient(difference(C,
% quotient(A,
% quotient(
% difference(
% j(j(B)),A),A))),
% quotient(A,quotient(
% difference(
% j(j(B)),A),A))))
% <->
% quotient(difference(i(A),quotient(quotient(quotient(difference(i(B),quotient(
% quotient(
% eta(B),
% i(
% quotient(C,
% quotient(
% difference(A,C),C)))),
% quotient(
% difference(B,
% quotient(C,
% quotient(
% difference(A,C),C))),
% quotient(C,
% quotient(
% difference(A,C),C))))),B),A),
% quotient(difference(A,quotient(quotient(difference(
% i(B),
% quotient(
% quotient(
% eta(B),
% i(quotient(C,
% quotient(
% difference(A,C),C)))),
% quotient(
% difference(B,
% quotient(C,
% quotient(
% difference(A,C),C))),
% quotient(C,
% quotient(
% difference(A,C),C))))),B),A)),
% quotient(quotient(difference(i(B),quotient(quotient(
% eta(B),
% i(
% quotient(C,
% quotient(
% difference(A,C),C)))),
% quotient(difference(B,
% quotient(C,
% quotient(
% difference(A,C),C))),
% quotient(C,
% quotient(difference(A,C),C))))),B),A)))),A)
% Current number of equations to process: 149
% Current number of ordered equations: 121
% Current number of rules: 340
% New rule produced :
% [578]
% quotient(quotient(difference(i(A),quotient(quotient(quotient(difference(
% i(B),quotient(
% quotient(
% quotient(
% eta(
% quotient(A,
% quotient(
% difference(B,A),A))),
% i(C)),
% quotient(
% difference(A,C),C)),
% quotient(
% difference(B,
% quotient(
% quotient(
% eta(
% quotient(A,
% quotient(
% difference(B,A),A))),
% i(C)),
% quotient(
% difference(A,C),C))),
% quotient(
% quotient(
% eta(
% quotient(A,
% quotient(
% difference(B,A),A))),
% i(C)),
% quotient(
% difference(A,C),C))))),B),A),
% quotient(difference(A,quotient(quotient(
% difference(
% i(B),
% quotient(
% quotient(
% quotient(
% eta(
% quotient(A,
% quotient(
% difference(B,A),A))),
% i(C)),
% quotient(
% difference(A,C),C)),
% quotient(
% difference(B,
% quotient(
% quotient(
% eta(
% quotient(A,
% quotient(
% difference(B,A),A))),
% i(C)),
% quotient(
% difference(A,C),C))),
% quotient(
% quotient(
% eta(
% quotient(A,
% quotient(
% difference(B,A),A))),
% i(C)),
% quotient(
% difference(A,C),C))))),B),A)),
% quotient(quotient(difference(i(B),quotient(
% quotient(
% quotient(
% eta(
% quotient(A,
% quotient(
% difference(B,A),A))),
% i(C)),
% quotient(
% difference(A,C),C)),
% quotient(
% difference(B,
% quotient(
% quotient(
% eta(
% quotient(A,
% quotient(
% difference(B,A),A))),
% i(C)),
% quotient(
% difference(A,C),C))),
% quotient(
% quotient(
% eta(
% quotient(A,
% quotient(
% difference(B,A),A))),
% i(C)),
% quotient(
% difference(A,C),C))))),B),A)))),A),C)
% -> j(j(quotient(A,quotient(difference(B,A),A))))
% Current number of equations to process: 149
% Current number of ordered equations: 120
% Current number of rules: 341
% New rule produced :
% [579]
% difference(i(A),quotient(quotient(eta(A),i(quotient(eta(eta(A)),i(i(A))))),
% i(A))) -> difference(i(A),j(j(eta(A))))
% Current number of equations to process: 148
% Current number of ordered equations: 120
% Current number of rules: 342
% New rule produced :
% [580]
% quotient(quotient(difference(A,quotient(quotient(A,j(A)),quotient(difference(
% eta(A),
% quotient(A,
% j(A))),
% quotient(A,j(A))))),A),
% i(A)) -> quotient(t(A,eta(A)),i(A))
% Current number of equations to process: 148
% Current number of ordered equations: 119
% Current number of rules: 343
% New rule produced :
% [581]
% quotient(difference(C,quotient(quotient(C,j(C)),quotient(difference(quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(C,j(C))),
% quotient(C,j(C))))),quotient(A,
% quotient(
% difference(B,A),A)))
% ->
% quotient(t(C,quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(A,quotient(difference(B,A),A)))
% Current number of equations to process: 147
% Current number of ordered equations: 119
% Current number of rules: 344
% New rule produced :
% [582]
% quotient(difference(quotient(quotient(B,quotient(difference(quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(B,quotient(difference(quotient(quotient(C,j(C)),quotient(
% difference(A,
% quotient(C,
% j(C))),
% quotient(C,
% j(C)))),B),B))),A)
% ->
% quotient(t(C,quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(A,quotient(difference(B,A),A)))
% Current number of equations to process: 147
% Current number of ordered equations: 118
% Current number of rules: 345
% New rule produced :
% [583]
% difference(t(eta(A),quotient(B,quotient(difference(C,B),B))),quotient(
% t(eta(A),B),
% quotient(
% difference(V_3,
% t(eta(A),B)),
% t(eta(A),B))))
% ->
% quotient(difference(t(eta(A),C),quotient(V_3,quotient(difference(t(eta(A),B),V_3),V_3))),
% t(eta(A),B))
% Current number of equations to process: 147
% Current number of ordered equations: 115
% Current number of rules: 346
% New rule produced :
% [584]
% quotient(difference(A,quotient(quotient(B,quotient(difference(C,B),B)),
% quotient(difference(V_3,quotient(B,quotient(difference(C,B),B))),
% quotient(B,quotient(difference(C,B),B))))),quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B))
% <->
% quotient(difference(A,quotient(difference(i(B),quotient(quotient(quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B),
% quotient(difference(B,
% quotient(quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)),
% quotient(quotient(C,quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)))),B)),
% quotient(quotient(C,quotient(difference(quotient(V_3,quotient(difference(B,V_3),V_3)),C),C)),B))
% Current number of equations to process: 147
% Current number of ordered equations: 114
% Current number of rules: 347
% New rule produced :
% [585]
% quotient(difference(A,quotient(difference(i(B),quotient(quotient(quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B),
% quotient(difference(B,
% quotient(quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)),
% quotient(quotient(C,quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)))),B)),
% quotient(quotient(C,quotient(difference(quotient(V_3,quotient(difference(B,V_3),V_3)),C),C)),B))
% <->
% quotient(difference(A,quotient(quotient(B,quotient(difference(C,B),B)),
% quotient(difference(V_3,quotient(B,quotient(difference(C,B),B))),
% quotient(B,quotient(difference(C,B),B))))),quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B))
% Current number of equations to process: 147
% Current number of ordered equations: 113
% Current number of rules: 348
% New rule produced :
% [586]
% difference(A,quotient(quotient(A,j(A)),quotient(difference(B,quotient(A,j(A))),
% quotient(A,j(A))))) ->
% t(A,quotient(B,quotient(difference(A,B),B)))
% Rule
% [269]
% difference(A,quotient(quotient(A,j(A)),quotient(difference(i(i(B)),quotient(A,
% j(A))),
% quotient(A,j(A))))) ->
% t(A,quotient(eta(B),quotient(quotient(i(A),B),eta(B)))) collapsed.
% Rule
% [270]
% difference(A,quotient(quotient(A,j(A)),quotient(difference(j(j(B)),quotient(A,
% j(A))),
% quotient(A,j(A))))) ->
% t(A,quotient(j(j(B)),quotient(difference(A,j(j(B))),j(j(B))))) collapsed.
% Rule
% [320]
% difference(A,quotient(quotient(A,j(A)),quotient(difference(quotient(eta(B),
% i(C)),quotient(A,
% j(A))),
% quotient(A,j(A))))) ->
% t(A,quotient(eta(B),i(quotient(C,quotient(difference(A,C),C))))) collapsed.
% Rule
% [386]
% difference(A,quotient(quotient(A,j(A)),quotient(difference(quotient(B,
% quotient(difference(C,B),B)),
% quotient(A,j(A))),quotient(A,
% j(A)))))
% <->
% t(A,quotient(difference(i(B),quotient(quotient(quotient(C,quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B),
% quotient(difference(B,quotient(quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B)),
% quotient(quotient(C,quotient(difference(
% quotient(A,
% quotient(difference(B,A),A)),C),C)),B)))),B))
% collapsed.
% Rule
% [465]
% t(eta(A),difference(B,quotient(quotient(B,j(B)),quotient(difference(C,
% quotient(B,j(B))),
% quotient(B,j(B)))))) ->
% t(eta(A),t(B,quotient(C,quotient(difference(B,C),C)))) collapsed.
% Rule
% [467]
% difference(j(j(A)),quotient(quotient(j(j(A)),j(j(j(A)))),quotient(difference(B,
% quotient(
% j(j(A)),
% j(j(j(A))))),
% quotient(j(j(A)),
% j(j(j(A))))))) ->
% t(j(j(A)),quotient(B,quotient(difference(j(j(A)),B),B))) collapsed.
% Rule
% [480]
% quotient(quotient(difference(A,quotient(quotient(A,j(A)),quotient(difference(B,
% quotient(A,
% j(A))),
% quotient(A,j(A))))),B),
% quotient(A,j(A))) ->
% quotient(quotient(t(A,quotient(B,quotient(difference(A,B),B))),B),quotient(A,
% j(A)))
% collapsed.
% Rule
% [580]
% quotient(quotient(difference(A,quotient(quotient(A,j(A)),quotient(difference(
% eta(A),
% quotient(A,
% j(A))),
% quotient(A,j(A))))),A),
% i(A)) -> quotient(t(A,eta(A)),i(A)) collapsed.
% Rule
% [581]
% quotient(difference(C,quotient(quotient(C,j(C)),quotient(difference(quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(C,j(C))),
% quotient(C,j(C))))),quotient(A,
% quotient(
% difference(B,A),A)))
% ->
% quotient(t(C,quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(A,quotient(difference(B,A),A))) collapsed.
% Current number of equations to process: 150
% Current number of ordered equations: 111
% Current number of rules: 340
% New rule produced :
% [587]
% t(A,quotient(eta(B),i(quotient(B,quotient(difference(A,B),B))))) ->
% t(A,quotient(eta(B),quotient(quotient(i(A),B),eta(B))))
% Current number of equations to process: 149
% Current number of ordered equations: 111
% Current number of rules: 341
% New rule produced :
% [588] quotient(quotient(eta(A),j(eta(B))),j(B)) -> quotient(eta(A),i(B))
% Current number of equations to process: 148
% Current number of ordered equations: 111
% Current number of rules: 342
% New rule produced :
% [589]
% quotient(quotient(quotient(eta(C),i(quotient(A,quotient(difference(B,A),A)))),B),A)
% -> eta(C)
% Current number of equations to process: 148
% Current number of ordered equations: 110
% Current number of rules: 343
% New rule produced :
% [590]
% quotient(difference(A,quotient(eta(A),j(eta(A)))),A) ->
% difference(A,i(i(i(A))))
% Current number of equations to process: 147
% Current number of ordered equations: 110
% Current number of rules: 344
% New rule produced :
% [591]
% quotient(quotient(quotient(difference(i(A),quotient(i(i(i(i(A)))),quotient(
% difference(A,
% i(i(A))),
% i(i(A))))),A),A),
% j(A)) -> difference(j(A),i(i(A)))
% Current number of equations to process: 146
% Current number of ordered equations: 110
% Current number of rules: 345
% New rule produced :
% [592]
% quotient(quotient(difference(i(A),quotient(quotient(quotient(eta(B),i(C)),
% quotient(difference(i(A),C),C)),
% quotient(difference(A,quotient(quotient(
% eta(B),
% i(C)),
% quotient(difference(
% i(A),C),C))),
% quotient(quotient(eta(B),i(C)),quotient(
% difference(
% i(A),C),C))))),A),
% i(A)) -> difference(i(A),quotient(eta(A),i(quotient(eta(B),i(C)))))
% Current number of equations to process: 144
% Current number of ordered equations: 110
% Current number of rules: 346
% New rule produced :
% [593]
% quotient(eta(C),i(quotient(difference(eta(C),A),quotient(difference(B,
% difference(eta(C),A)),
% difference(eta(C),A))))) ->
% quotient(A,quotient(difference(B,A),A))
% Current number of equations to process: 143
% Current number of ordered equations: 110
% Current number of rules: 347
% New rule produced :
% [594]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(difference(B,A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(difference(B,A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(difference(B,A),A))))) <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(
% difference(A,B),
% quotient(
% difference(C,
% difference(A,B)),
% difference(A,B))),A),A),A)))
% Current number of equations to process: 143
% Current number of ordered equations: 109
% Current number of rules: 348
% New rule produced :
% [595]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(
% difference(A,C),B),B)),A),A),A)))
% ->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(difference(C,A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% Current number of equations to process: 143
% Current number of ordered equations: 108
% Current number of rules: 349
% New rule produced :
% [596]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(
% difference(A,B),
% quotient(
% difference(C,
% difference(A,B)),
% difference(A,B))),A),A),A)))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(difference(B,A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(difference(B,A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(difference(B,A),A)))))
% Current number of equations to process: 143
% Current number of ordered equations: 107
% Current number of rules: 350
% New rule produced :
% [597]
% quotient(difference(A,quotient(difference(i(quotient(A,quotient(difference(B,A),A))),
% quotient(t(quotient(A,quotient(difference(B,A),A)),C),
% quotient(difference(quotient(A,quotient(
% difference(B,A),A)),
% t(quotient(A,quotient(difference(B,A),A)),C)),
% t(quotient(A,quotient(difference(B,A),A)),C)))),
% quotient(A,quotient(difference(B,A),A)))),t(quotient(A,
% quotient(
% difference(B,A),A)),C))
% ->
% quotient(quotient(quotient(quotient(difference(quotient(difference(B,A),A),
% t(quotient(A,quotient(difference(B,A),A)),C)),
% quotient(difference(A,difference(quotient(
% difference(B,A),A),
% t(quotient(A,quotient(
% difference(B,A),A)),C))),
% difference(quotient(difference(B,A),A),t(quotient(A,
% quotient(
% difference(B,A),A)),C)))),
% quotient(difference(B,A),A)),quotient(A,quotient(difference(B,A),A))),
% t(quotient(A,quotient(difference(B,A),A)),C))
% Current number of equations to process: 142
% Current number of ordered equations: 107
% Current number of rules: 351
% New rule produced :
% [598]
% quotient(difference(A,quotient(eta(A),j(eta(A)))),j(A)) -> t(j(A),eta(A))
% Current number of equations to process: 141
% Current number of ordered equations: 107
% Current number of rules: 352
% New rule produced :
% [599]
% difference(i(i(A)),quotient(quotient(eta(A),i(quotient(A,quotient(difference(B,A),A)))),
% quotient(difference(quotient(C,i(i(A))),quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))) ->
% quotient(quotient(B,quotient(difference(C,B),B)),i(i(A)))
% Current number of equations to process: 140
% Current number of ordered equations: 107
% Current number of rules: 353
% New rule produced :
% [600]
% quotient(difference(i(difference(A,quotient(B,quotient(difference(C,B),B)))),
% quotient(B,quotient(difference(C,B),B))),difference(A,quotient(B,
% quotient(
% difference(C,B),B))))
% ->
% quotient(difference(A,B),quotient(difference(quotient(C,quotient(difference(A,C),C)),
% difference(A,B)),difference(A,B)))
% Current number of equations to process: 140
% Current number of ordered equations: 106
% Current number of rules: 354
% New rule produced :
% [601]
% quotient(difference(i(i(A)),quotient(quotient(eta(A),i(quotient(A,quotient(
% difference(B,A),A)))),
% quotient(difference(C,quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))),
% quotient(difference(i(i(A)),difference(i(i(A)),quotient(quotient(eta(A),
% i(quotient(A,
% quotient(difference(B,A),A)))),
% quotient(difference(C,
% quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))))),
% difference(i(i(A)),quotient(quotient(eta(A),i(quotient(A,quotient(difference(B,A),A)))),
% quotient(difference(C,quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))))) <->
% quotient(B,quotient(difference(quotient(C,quotient(difference(i(i(A)),C),C)),B),B))
% Current number of equations to process: 138
% Current number of ordered equations: 107
% Current number of rules: 355
% New rule produced :
% [602]
% quotient(B,quotient(difference(quotient(C,quotient(difference(i(i(A)),C),C)),B),B))
% <->
% quotient(difference(i(i(A)),quotient(quotient(eta(A),i(quotient(A,quotient(
% difference(B,A),A)))),
% quotient(difference(C,quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))),
% quotient(difference(i(i(A)),difference(i(i(A)),quotient(quotient(eta(A),
% i(quotient(A,
% quotient(difference(B,A),A)))),
% quotient(difference(C,
% quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))))),
% difference(i(i(A)),quotient(quotient(eta(A),i(quotient(A,quotient(difference(B,A),A)))),
% quotient(difference(C,quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))))))
% Current number of equations to process: 138
% Current number of ordered equations: 106
% Current number of rules: 356
% New rule produced :
% [603]
% quotient(quotient(t(eta(A),B),quotient(difference(C,t(eta(A),B)),t(eta(A),B))),
% quotient(difference(t(eta(A),V_3),quotient(t(eta(A),B),quotient(difference(C,
% t(eta(A),B)),
% t(eta(A),B)))),
% quotient(t(eta(A),B),quotient(difference(C,t(eta(A),B)),t(eta(A),B))))) <->
% quotient(difference(i(t(eta(A),B)),quotient(quotient(quotient(C,quotient(
% difference(
% t(eta(A),
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3))),C),C)),
% t(eta(A),B)),quotient(difference(
% t(eta(A),B),
% quotient(
% quotient(C,
% quotient(
% difference(
% t(eta(A),
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3))),C),C)),
% t(eta(A),B))),
% quotient(quotient(C,
% quotient(
% difference(
% t(eta(A),
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3))),C),C)),
% t(eta(A),B))))),
% t(eta(A),B))
% Current number of equations to process: 138
% Current number of ordered equations: 105
% Current number of rules: 357
% New rule produced :
% [604]
% quotient(difference(i(t(eta(A),B)),quotient(quotient(quotient(C,quotient(
% difference(
% t(eta(A),
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3))),C),C)),
% t(eta(A),B)),quotient(difference(
% t(eta(A),B),
% quotient(
% quotient(C,
% quotient(
% difference(
% t(eta(A),
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3))),C),C)),
% t(eta(A),B))),
% quotient(quotient(C,
% quotient(
% difference(
% t(eta(A),
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3))),C),C)),
% t(eta(A),B))))),
% t(eta(A),B)) <->
% quotient(quotient(t(eta(A),B),quotient(difference(C,t(eta(A),B)),t(eta(A),B))),
% quotient(difference(t(eta(A),V_3),quotient(t(eta(A),B),quotient(difference(C,
% t(eta(A),B)),
% t(eta(A),B)))),
% quotient(t(eta(A),B),quotient(difference(C,t(eta(A),B)),t(eta(A),B)))))
% Current number of equations to process: 138
% Current number of ordered equations: 104
% Current number of rules: 358
% New rule produced :
% [605]
% quotient(quotient(quotient(A,quotient(difference(quotient(quotient(B,
% quotient(difference(C,B),B)),
% quotient(difference(V_3,
% quotient(B,
% quotient(difference(C,B),B))),
% quotient(B,quotient(
% difference(C,B),B)))),A),A)),V_3),
% quotient(B,quotient(difference(C,B),B))) <->
% quotient(quotient(quotient(A,quotient(difference(quotient(difference(
% i(B),quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B),
% quotient(
% difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)))),B),A),A)),V_3),
% quotient(B,quotient(difference(C,B),B)))
% Current number of equations to process: 138
% Current number of ordered equations: 103
% Current number of rules: 359
% New rule produced :
% [606]
% quotient(quotient(quotient(A,quotient(difference(quotient(difference(
% i(B),quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B),
% quotient(
% difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)))),B),A),A)),V_3),
% quotient(B,quotient(difference(C,B),B))) <->
% quotient(quotient(quotient(A,quotient(difference(quotient(quotient(B,
% quotient(difference(C,B),B)),
% quotient(difference(V_3,
% quotient(B,
% quotient(difference(C,B),B))),
% quotient(B,quotient(
% difference(C,B),B)))),A),A)),V_3),
% quotient(B,quotient(difference(C,B),B)))
% Current number of equations to process: 138
% Current number of ordered equations: 102
% Current number of rules: 360
% New rule produced :
% [607]
% quotient(quotient(quotient(V_3,quotient(difference(quotient(quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))),V_3),V_3)),C),
% quotient(A,quotient(difference(B,A),A))) <->
% difference(quotient(difference(i(A),quotient(quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(A,quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% quotient(C,
% quotient(difference(V_3,C),C)),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% Current number of equations to process: 137
% Current number of ordered equations: 101
% Current number of rules: 361
% New rule produced :
% [608]
% difference(quotient(difference(i(A),quotient(quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(A,quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% quotient(C,
% quotient(difference(V_3,C),C)),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% <->
% quotient(quotient(quotient(V_3,quotient(difference(quotient(quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))),V_3),V_3)),C),
% quotient(A,quotient(difference(B,A),A)))
% Current number of equations to process: 137
% Current number of ordered equations: 100
% Current number of rules: 362
% New rule produced :
% [609]
% quotient(difference(A,quotient(difference(i(quotient(A,j(A))),quotient(
% t(quotient(A,
% j(A)),B),
% quotient(
% difference(
% quotient(A,
% j(A)),t(
% quotient(A,
% j(A)),B)),
% t(quotient(A,
% j(A)),B)))),
% quotient(A,j(A)))),t(quotient(A,j(A)),B)) ->
% quotient(quotient(quotient(quotient(difference(j(A),t(quotient(A,j(A)),B)),
% quotient(difference(A,difference(j(A),t(quotient(A,
% j(A)),B))),
% difference(j(A),t(quotient(A,j(A)),B)))),j(A)),
% quotient(A,j(A))),t(quotient(A,j(A)),B))
% Current number of equations to process: 135
% Current number of ordered equations: 100
% Current number of rules: 363
% New rule produced :
% [610]
% quotient(difference(i(difference(quotient(A,j(A)),j(j(A)))),quotient(
% difference(
% quotient(A,
% j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A))),
% quotient(
% difference(
% difference(
% quotient(A,
% j(A)),j(j(A))),
% difference(
% quotient(A,
% j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(
% quotient(A,
% j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)))))),
% difference(quotient(A,j(A)),j(j(A)))) <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(
% j(A),
% quotient(
% difference(B,
% j(A)),
% j(A))),A),A),A)))
% Current number of equations to process: 134
% Current number of ordered equations: 99
% Current number of rules: 364
% New rule produced :
% [611]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),j(j(A))),difference(quotient(A,
% j(A)),
% quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(
% j(A),B),B)),A),A),A)))
% Current number of equations to process: 134
% Current number of ordered equations: 98
% Current number of rules: 365
% New rule produced :
% [612]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(
% j(A),B),B)),A),A),A)))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),j(j(A))),difference(quotient(A,
% j(A)),
% quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% Current number of equations to process: 134
% Current number of ordered equations: 97
% Current number of rules: 366
% New rule produced :
% [613]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(
% j(A),
% quotient(
% difference(B,
% j(A)),
% j(A))),A),A),A)))
% <->
% quotient(difference(i(difference(quotient(A,j(A)),j(j(A)))),quotient(
% difference(
% quotient(A,
% j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A))),
% quotient(
% difference(
% difference(
% quotient(A,
% j(A)),j(j(A))),
% difference(
% quotient(A,
% j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(
% quotient(A,
% j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)))))),
% difference(quotient(A,j(A)),j(j(A))))
% Current number of equations to process: 134
% Current number of ordered equations: 96
% Current number of rules: 367
% New rule produced :
% [614]
% difference(A,quotient(quotient(difference(j(eta(A)),x1),quotient(difference(
% eta(
% eta(A)),
% difference(
% j(eta(A)),x1)),
% difference(j(eta(A)),x1))),
% difference(eta(A),x1))) -> quotient(quotient(j(A),A),j(A))
% Current number of equations to process: 133
% Current number of ordered equations: 96
% Current number of rules: 368
% New rule produced :
% [615]
% quotient(quotient(A,quotient(difference(quotient(eta(B),i(C)),A),A)),eta(B))
% -> quotient(A,quotient(difference(t(eta(B),C),A),A))
% Current number of equations to process: 133
% Current number of ordered equations: 95
% Current number of rules: 369
% New rule produced :
% [616]
% quotient(difference(i(A),quotient(quotient(eta(A),i(quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(
% j(j(A)),C),C)),B),B)),
% j(j(A))))),quotient(
% difference(A,
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(
% j(j(A)),C),C)),B),B)),
% j(j(A)))),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(
% j(j(A)),C),C)),B),B)),
% j(j(A)))))),A)
% <->
% quotient(quotient(j(j(A)),quotient(difference(B,j(j(A))),j(j(A)))),quotient(
% difference(C,
% quotient(
% j(
% j(A)),
% quotient(
% difference(B,
% j(
% j(A))),
% j(
% j(A))))),
% quotient(
% j(
% j(A)),
% quotient(
% difference(B,
% j(
% j(A))),
% j(
% j(A))))))
% Current number of equations to process: 132
% Current number of ordered equations: 96
% Current number of rules: 370
% New rule produced :
% [617]
% quotient(quotient(j(j(A)),quotient(difference(B,j(j(A))),j(j(A)))),quotient(
% difference(C,
% quotient(
% j(
% j(A)),
% quotient(
% difference(B,
% j(
% j(A))),
% j(
% j(A))))),
% quotient(
% j(
% j(A)),
% quotient(
% difference(B,
% j(
% j(A))),
% j(
% j(A))))))
% <->
% quotient(difference(i(A),quotient(quotient(eta(A),i(quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(
% j(j(A)),C),C)),B),B)),
% j(j(A))))),quotient(
% difference(A,
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(
% j(j(A)),C),C)),B),B)),
% j(j(A)))),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(
% j(j(A)),C),C)),B),B)),
% j(j(A)))))),A)
% Current number of equations to process: 132
% Current number of ordered equations: 95
% Current number of rules: 371
% New rule produced :
% [618]
% quotient(quotient(quotient(quotient(A,quotient(difference(quotient(B,j(B)),A),A)),B),B),
% quotient(difference(difference(quotient(B,j(B)),quotient(B,quotient(quotient(
% difference(C,B),B),B))),
% quotient(quotient(quotient(A,quotient(difference(quotient(B,j(B)),A),A)),B),B)),
% quotient(quotient(quotient(A,quotient(difference(quotient(B,j(B)),A),A)),B),B)))
% <->
% difference(quotient(B,j(B)),quotient(B,quotient(quotient(difference(quotient(A,
% quotient(
% difference(C,A),A)),B),B),B)))
% Current number of equations to process: 132
% Current number of ordered equations: 93
% Current number of rules: 372
% New rule produced :
% [619]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(quotient(quotient(quotient(C,quotient(difference(
% quotient(A,
% j(A)),C),C)),A),A),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(C,B),B)),A),A),A)))
% Current number of equations to process: 132
% Current number of ordered equations: 91
% Current number of rules: 373
% New rule produced :
% [620]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(C,B),B)),A),A),A)))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(quotient(quotient(quotient(C,quotient(difference(
% quotient(A,
% j(A)),C),C)),A),A),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% Rule
% [595]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(
% difference(A,C),B),B)),A),A),A)))
% ->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(difference(C,A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% collapsed.
% Current number of equations to process: 135
% Current number of ordered equations: 87
% Current number of rules: 373
% New rule produced :
% [621]
% difference(quotient(B,j(B)),quotient(B,quotient(quotient(difference(quotient(A,
% quotient(
% difference(C,A),A)),B),B),B)))
% <->
% quotient(quotient(quotient(quotient(A,quotient(difference(quotient(B,j(B)),A),A)),B),B),
% quotient(difference(difference(quotient(B,j(B)),quotient(B,quotient(quotient(
% difference(C,B),B),B))),
% quotient(quotient(quotient(A,quotient(difference(quotient(B,j(B)),A),A)),B),B)),
% quotient(quotient(quotient(A,quotient(difference(quotient(B,j(B)),A),A)),B),B)))
% Current number of equations to process: 135
% Current number of ordered equations: 85
% Current number of rules: 374
% New rule produced :
% [622]
% quotient(quotient(difference(i(A),quotient(quotient(eta(A),i(quotient(
% eta(A),i(B)))),
% quotient(difference(A,quotient(eta(A),i(B))),
% quotient(eta(A),i(B))))),A),j(j(j(j(A)))))
% -> t(j(j(j(j(A)))),B)
% Current number of equations to process: 134
% Current number of ordered equations: 85
% Current number of rules: 375
% New rule produced :
% [623]
% quotient(difference(j(j(B)),quotient(quotient(difference(i(B),quotient(
% quotient(
% i(i(B)),
% difference(
% j(j(B)),B)),
% quotient(
% difference(B,
% quotient(
% i(i(B)),
% difference(
% j(j(B)),B))),
% quotient(
% i(i(B)),
% difference(
% j(j(B)),B))))),B),
% quotient(difference(A,quotient(difference(
% i(B),quotient(
% quotient(
% i(i(B)),
% difference(
% j(j(B)),B)),
% quotient(
% difference(B,
% quotient(
% i(i(B)),
% difference(
% j(j(B)),B))),
% quotient(
% i(i(B)),
% difference(
% j(j(B)),B))))),B)),
% quotient(difference(i(B),quotient(quotient(
% i(i(B)),
% difference(
% j(j(B)),B)),
% quotient(difference(B,
% quotient(
% i(i(B)),
% difference(
% j(j(B)),B))),
% quotient(i(i(B)),
% difference(j(j(B)),B))))),B)))),A)
% -> quotient(t(j(j(B)),quotient(A,quotient(difference(j(j(B)),A),A))),A)
% Current number of equations to process: 133
% Current number of ordered equations: 85
% Current number of rules: 376
% New rule produced :
% [624]
% difference(A,quotient(quotient(A,B),quotient(difference(quotient(B,j(B)),
% quotient(A,B)),quotient(A,B))))
% -> quotient(t(B,A),quotient(A,B))
% Current number of equations to process: 133
% Current number of ordered equations: 84
% Current number of rules: 377
% New rule produced :
% [625]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(difference(j(j(A)),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(difference(j(j(A)),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(difference(j(j(A)),A),A)))))
% ->
% difference(quotient(A,j(A)),quotient(difference(i(A),quotient(quotient(
% j(j(A)),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A)))),
% quotient(difference(A,
% quotient(
% j(j(A)),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A))))),
% quotient(j(j(A)),
% quotient(difference(B,
% j(j(A))),
% j(j(A))))))),A))
% Current number of equations to process: 133
% Current number of ordered equations: 83
% Current number of rules: 378
% New rule produced :
% [626]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(difference(
% j(
% j(A)),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(
% eta(A),B),B)),A),A),A)))
% Current number of equations to process: 133
% Current number of ordered equations: 82
% Current number of rules: 379
% New rule produced :
% [627]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(
% eta(A),B),B)),A),A),A)))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(difference(
% j(
% j(A)),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% Current number of equations to process: 133
% Current number of ordered equations: 81
% Current number of rules: 380
% New rule produced :
% [628]
% quotient(difference(i(quotient(A,quotient(C,quotient(difference(eta(B),C),C)))),
% quotient(difference(i(C),quotient(quotient(A,quotient(C,quotient(
% difference(
% eta(B),C),C))),
% quotient(difference(C,quotient(A,quotient(C,
% quotient(
% difference(
% eta(B),C),C)))),
% quotient(A,quotient(C,quotient(difference(
% eta(B),C),C)))))),C)),
% quotient(A,quotient(C,quotient(difference(eta(B),C),C)))) ->
% quotient(A,eta(B))
% Current number of equations to process: 133
% Current number of ordered equations: 80
% Current number of rules: 381
% New rule produced :
% [629]
% difference(i(A),quotient(quotient(eta(A),j(eta(A))),quotient(difference(B,
% quotient(
% eta(A),j(eta(A)))),
% quotient(eta(A),j(eta(A))))))
% -> difference(i(A),quotient(eta(A),i(quotient(eta(A),i(B)))))
% Current number of equations to process: 131
% Current number of ordered equations: 80
% Current number of rules: 382
% New rule produced :
% [630]
% quotient(difference(i(t(eta(A),B)),quotient(quotient(quotient(t(eta(A),C),
% quotient(difference(
% quotient(V_3,
% quotient(
% difference(
% t(eta(A),B),V_3),V_3)),
% t(eta(A),C)),
% t(eta(A),C))),t(
% eta(A),B)),
% quotient(difference(t(eta(A),B),quotient(
% quotient(
% t(
% eta(A),C),
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(
% t(
% eta(A),B),V_3),V_3)),
% t(
% eta(A),C)),
% t(
% eta(A),C))),
% t(
% eta(A),B))),
% quotient(quotient(t(eta(A),C),quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(
% t(eta(A),B),V_3),V_3)),
% t(eta(A),C)),
% t(eta(A),C))),
% t(eta(A),B))))),t(eta(A),B)) <->
% quotient(t(eta(A),quotient(B,quotient(difference(C,B),B))),quotient(difference(V_3,
% t(
% eta(A),
% quotient(B,
% quotient(
% difference(C,B),B)))),
% t(eta(A),quotient(B,
% quotient(
% difference(C,B),B)))))
% Current number of equations to process: 131
% Current number of ordered equations: 79
% Current number of rules: 383
% New rule produced :
% [631]
% quotient(t(eta(A),quotient(B,quotient(difference(C,B),B))),quotient(difference(V_3,
% t(
% eta(A),
% quotient(B,
% quotient(
% difference(C,B),B)))),
% t(eta(A),quotient(B,
% quotient(
% difference(C,B),B)))))
% <->
% quotient(difference(i(t(eta(A),B)),quotient(quotient(quotient(t(eta(A),C),
% quotient(difference(
% quotient(V_3,
% quotient(
% difference(
% t(eta(A),B),V_3),V_3)),
% t(eta(A),C)),
% t(eta(A),C))),t(
% eta(A),B)),
% quotient(difference(t(eta(A),B),quotient(
% quotient(
% t(
% eta(A),C),
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(
% t(
% eta(A),B),V_3),V_3)),
% t(
% eta(A),C)),
% t(
% eta(A),C))),
% t(
% eta(A),B))),
% quotient(quotient(t(eta(A),C),quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(
% t(eta(A),B),V_3),V_3)),
% t(eta(A),C)),
% t(eta(A),C))),
% t(eta(A),B))))),t(eta(A),B))
% Current number of equations to process: 131
% Current number of ordered equations: 78
% Current number of rules: 384
% New rule produced :
% [632]
% quotient(quotient(eta(A),j(eta(A))),difference(j(j(A)),eta(A))) ->
% quotient(i(i(A)),quotient(A,i(i(A))))
% Current number of equations to process: 131
% Current number of ordered equations: 77
% Current number of rules: 385
% New rule produced :
% [633] quotient(i(i(A)),quotient(quotient(A,i(A)),i(i(A)))) -> eta(A)
% Rule
% [401]
% difference(i(i(A)),quotient(quotient(i(i(A)),quotient(quotient(A,i(A)),
% i(i(A)))),quotient(difference(B,
% quotient(
% i(i(A)),
% quotient(
% quotient(A,
% i(A)),
% i(i(A))))),
% quotient(i(i(A)),
% quotient(quotient(A,
% i(A)),
% i(i(A))))))) ->
% difference(i(i(A)),quotient(eta(A),i(B))) collapsed.
% Current number of equations to process: 131
% Current number of ordered equations: 76
% Current number of rules: 385
% New rule produced :
% [634]
% difference(B,quotient(quotient(B,quotient(difference(A,B),B)),quotient(A,
% quotient(B,
% quotient(
% difference(A,B),B)))))
% <-> quotient(quotient(A,quotient(difference(quotient(B,j(B)),A),A)),B)
% Current number of equations to process: 131
% Current number of ordered equations: 75
% Current number of rules: 386
% New rule produced :
% [635]
% quotient(quotient(A,quotient(difference(quotient(B,j(B)),A),A)),B) <->
% difference(B,quotient(quotient(B,quotient(difference(A,B),B)),quotient(A,
% quotient(B,
% quotient(
% difference(A,B),B)))))
% Current number of equations to process: 131
% Current number of ordered equations: 74
% Current number of rules: 387
% New rule produced :
% [636]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,A),A),A))))
% ->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))
% Current number of equations to process: 131
% Current number of ordered equations: 73
% Current number of rules: 388
% New rule produced :
% [637]
% difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(C,B),B)),A),A),A))))
% ->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,A),A),A)))
% Current number of equations to process: 131
% Current number of ordered equations: 72
% Current number of rules: 389
% New rule produced :
% [638]
% quotient(quotient(difference(i(t(eta(A),B)),quotient(eta(eta(A)),i(t(
% eta(A),B)))),
% t(eta(A),B)),eta(A)) -> t(eta(A),quotient(B,eta(A)))
% Current number of equations to process: 129
% Current number of ordered equations: 72
% Current number of rules: 390
% New rule produced :
% [639]
% difference(eta(B),quotient(quotient(i(i(B)),difference(quotient(A,quotient(
% difference(
% eta(B),A),A)),B)),B))
% ->
% quotient(quotient(A,quotient(difference(quotient(eta(B),j(eta(B))),A),A)),
% j(j(B)))
% Current number of equations to process: 127
% Current number of ordered equations: 72
% Current number of rules: 391
% New rule produced :
% [640]
% difference(quotient(A,quotient(difference(B,A),A)),quotient(quotient(
% difference(
% i(A),quotient(
% quotient(
% quotient(
% difference(
% i(quotient(B,
% quotient(
% difference(A,B),B))),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)))),
% quotient(B,
% quotient(
% difference(A,B),B))),A),
% quotient(
% difference(A,
% quotient(
% quotient(
% difference(
% i(quotient(B,
% quotient(
% difference(A,B),B))),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)))),
% quotient(B,
% quotient(
% difference(A,B),B))),A)),
% quotient(
% quotient(
% difference(
% i(quotient(B,
% quotient(
% difference(A,B),B))),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)))),
% quotient(B,
% quotient(
% difference(A,B),B))),A)))),A),
% quotient(difference(C,
% quotient(
% difference(
% i(A),quotient(
% quotient(
% quotient(
% difference(
% i(quotient(B,
% quotient(
% difference(A,B),B))),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)))),
% quotient(B,
% quotient(
% difference(A,B),B))),A),
% quotient(
% difference(A,
% quotient(
% quotient(
% difference(
% i(quotient(B,
% quotient(
% difference(A,B),B))),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)))),
% quotient(B,
% quotient(
% difference(A,B),B))),A)),
% quotient(
% quotient(
% difference(
% i(quotient(B,
% quotient(
% difference(A,B),B))),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)))),
% quotient(B,
% quotient(
% difference(A,B),B))),A)))),A)),
% quotient(difference(
% i(A),quotient(
% quotient(
% quotient(
% difference(
% i(quotient(B,
% quotient(
% difference(A,B),B))),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)))),
% quotient(B,
% quotient(
% difference(A,B),B))),A),
% quotient(
% difference(A,
% quotient(
% quotient(
% difference(
% i(quotient(B,
% quotient(
% difference(A,B),B))),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)))),
% quotient(B,
% quotient(
% difference(A,B),B))),A)),
% quotient(
% quotient(
% difference(
% i(quotient(B,
% quotient(
% difference(A,B),B))),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)))),
% quotient(B,
% quotient(
% difference(A,B),B))),A)))),A))))
% ->
% t(quotient(A,quotient(difference(B,A),A)),quotient(C,quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)))
% Current number of equations to process: 127
% Current number of ordered equations: 71
% Current number of rules: 392
% New rule produced :
% [641]
% quotient(quotient(difference(i(A),quotient(quotient(difference(i(B),quotient(
% quotient(
% eta(B),
% i(
% i(A))),
% quotient(
% difference(B,
% i(A)),
% i(A)))),B),
% quotient(difference(A,quotient(difference(
% i(B),
% quotient(
% quotient(
% eta(B),
% i(i(A))),
% quotient(
% difference(B,
% i(A)),
% i(A)))),B)),
% quotient(difference(i(B),quotient(quotient(
% eta(B),
% i(
% i(A))),
% quotient(difference(B,
% i(A)),
% i(A)))),B)))),A),
% i(A)) -> difference(i(A),quotient(eta(A),j(B)))
% Current number of equations to process: 126
% Current number of ordered equations: 71
% Current number of rules: 393
% New rule produced :
% [642]
% quotient(C,quotient(difference(quotient(V_3,quotient(difference(quotient(
% eta(A),
% i(B)),V_3),V_3)),C),C))
% <->
% quotient(difference(quotient(eta(A),i(B)),quotient(quotient(quotient(
% eta(A),i(B)),
% quotient(difference(C,B),B)),
% quotient(difference(V_3,quotient(
% quotient(
% eta(A),
% i(B)),
% quotient(
% difference(C,B),B))),
% quotient(quotient(eta(A),i(B)),
% quotient(difference(C,B),B))))),
% quotient(difference(quotient(eta(A),i(B)),difference(quotient(eta(A),i(B)),
% quotient(quotient(quotient(
% eta(A),i(B)),
% quotient(difference(C,B),B)),
% quotient(difference(V_3,quotient(
% quotient(
% eta(A),
% i(B)),
% quotient(
% difference(C,B),B))),
% quotient(quotient(eta(A),i(B)),
% quotient(difference(C,B),B)))))),
% difference(quotient(eta(A),i(B)),quotient(quotient(quotient(eta(A),i(B)),
% quotient(difference(C,B),B)),
% quotient(difference(V_3,quotient(quotient(
% eta(A),
% i(B)),
% quotient(difference(C,B),B))),
% quotient(quotient(eta(A),i(B)),quotient(
% difference(C,B),B)))))))
% Current number of equations to process: 126
% Current number of ordered equations: 70
% Current number of rules: 394
% New rule produced :
% [643]
% quotient(difference(quotient(eta(A),i(B)),quotient(quotient(quotient(
% eta(A),i(B)),
% quotient(difference(C,B),B)),
% quotient(difference(V_3,quotient(
% quotient(
% eta(A),
% i(B)),
% quotient(
% difference(C,B),B))),
% quotient(quotient(eta(A),i(B)),
% quotient(difference(C,B),B))))),
% quotient(difference(quotient(eta(A),i(B)),difference(quotient(eta(A),i(B)),
% quotient(quotient(quotient(
% eta(A),i(B)),
% quotient(difference(C,B),B)),
% quotient(difference(V_3,quotient(
% quotient(
% eta(A),
% i(B)),
% quotient(
% difference(C,B),B))),
% quotient(quotient(eta(A),i(B)),
% quotient(difference(C,B),B)))))),
% difference(quotient(eta(A),i(B)),quotient(quotient(quotient(eta(A),i(B)),
% quotient(difference(C,B),B)),
% quotient(difference(V_3,quotient(quotient(
% eta(A),
% i(B)),
% quotient(difference(C,B),B))),
% quotient(quotient(eta(A),i(B)),quotient(
% difference(C,B),B)))))))
% <->
% quotient(C,quotient(difference(quotient(V_3,quotient(difference(quotient(
% eta(A),
% i(B)),V_3),V_3)),C),C))
% Current number of equations to process: 126
% Current number of ordered equations: 69
% Current number of rules: 395
% New rule produced :
% [644]
% quotient(quotient(eta(A),j(eta(A))),quotient(difference(B,quotient(eta(A),
% j(eta(A)))),
% quotient(eta(A),j(eta(A))))) <->
% quotient(difference(i(i(A)),quotient(difference(i(A),quotient(eta(A),
% i(quotient(eta(A),i(B))))),
% quotient(difference(i(A),difference(i(A),
% quotient(eta(A),
% i(quotient(eta(A),i(B)))))),
% difference(i(A),quotient(eta(A),i(quotient(
% eta(A),
% i(B)))))))),
% i(A))
% Current number of equations to process: 124
% Current number of ordered equations: 70
% Current number of rules: 396
% New rule produced :
% [645]
% quotient(difference(i(i(A)),quotient(difference(i(A),quotient(eta(A),
% i(quotient(eta(A),i(B))))),
% quotient(difference(i(A),difference(i(A),
% quotient(eta(A),
% i(quotient(eta(A),i(B)))))),
% difference(i(A),quotient(eta(A),i(quotient(
% eta(A),
% i(B)))))))),
% i(A)) <->
% quotient(quotient(eta(A),j(eta(A))),quotient(difference(B,quotient(eta(A),
% j(eta(A)))),
% quotient(eta(A),j(eta(A)))))
% Current number of equations to process: 124
% Current number of ordered equations: 69
% Current number of rules: 397
% New rule produced : [646] quotient(quotient(j(j(A)),i(A)),A) -> j(j(j(j(A))))
% Current number of equations to process: 122
% Current number of ordered equations: 69
% Current number of rules: 398
% New rule produced :
% [647]
% quotient(A,quotient(difference(B,A),A)) <->
% quotient(quotient(difference(i(A),quotient(quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(A,quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A),C)
% Current number of equations to process: 121
% Current number of ordered equations: 68
% Current number of rules: 399
% New rule produced :
% [648]
% quotient(quotient(difference(i(A),quotient(quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(A,quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A),C)
% <-> quotient(A,quotient(difference(B,A),A))
% Current number of equations to process: 121
% Current number of ordered equations: 67
% Current number of rules: 400
% New rule produced :
% [649]
% difference(quotient(eta(A),i(quotient(A,quotient(difference(B,A),A)))),
% quotient(eta(A),i(quotient(A,quotient(difference(C,A),A))))) ->
% quotient(difference(B,quotient(C,quotient(difference(i(i(A)),C),C))),i(i(A)))
% Current number of equations to process: 119
% Current number of ordered equations: 67
% Current number of rules: 401
% New rule produced :
% [650]
% quotient(quotient(quotient(eta(A),i(B)),quotient(difference(quotient(
% eta(quotient(
% eta(A),
% i(B))),
% i(C)),B),B)),
% j(j(quotient(eta(A),i(B))))) -> t(j(j(quotient(eta(A),i(B)))),C)
% Current number of equations to process: 119
% Current number of ordered equations: 66
% Current number of rules: 402
% New rule produced :
% [651]
% t(A,quotient(quotient(eta(B),i(C)),quotient(difference(A,C),C))) ->
% t(A,quotient(eta(B),i(quotient(C,quotient(difference(A,C),C)))))
% Current number of equations to process: 118
% Current number of ordered equations: 66
% Current number of rules: 403
% New rule produced :
% [652]
% quotient(quotient(A,quotient(difference(quotient(quotient(eta(B),j(eta(C))),
% difference(quotient(B,quotient(
% difference(
% eta(C),B),B)),
% eta(C))),A),A)),eta(C)) ->
% quotient(A,quotient(difference(i(i(B)),A),A))
% Current number of equations to process: 117
% Current number of ordered equations: 66
% Current number of rules: 404
% New rule produced :
% [653]
% quotient(difference(i(B),quotient(quotient(eta(B),i(quotient(i(i(B)),
% difference(quotient(A,
% quotient(
% difference(
% i(B),A),A)),B)))),
% i(B))),A) ->
% quotient(difference(i(B),quotient(eta(B),i(quotient(eta(B),i(A))))),A)
% Current number of equations to process: 116
% Current number of ordered equations: 66
% Current number of rules: 405
% New rule produced :
% [654]
% difference(quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B)),
% quotient(quotient(eta(A),i(B)),quotient(difference(V_3,B),B))) ->
% quotient(difference(C,quotient(V_3,quotient(difference(quotient(eta(A),i(B)),V_3),V_3))),
% quotient(eta(A),i(B)))
% Current number of equations to process: 116
% Current number of ordered equations: 65
% Current number of rules: 406
% New rule produced :
% [655]
% quotient(quotient(eta(A),i(B)),quotient(difference(quotient(quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(
% quotient(
% eta(A),i(B)),V_3),V_3)),C),C)),
% quotient(eta(A),i(B))),B),B))
% ->
% quotient(quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B)),
% quotient(difference(V_3,quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B))),
% quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B))))
% Current number of equations to process: 116
% Current number of ordered equations: 64
% Current number of rules: 407
% New rule produced :
% [656]
% quotient(quotient(quotient(eta(A),i(B)),quotient(difference(quotient(C,
% quotient(
% difference(
% i(quotient(
% eta(A),
% i(B))),C),C)),B),B)),
% i(quotient(eta(A),i(B)))) ->
% difference(i(quotient(eta(A),i(B))),quotient(eta(quotient(eta(A),i(B))),i(C)))
% Current number of equations to process: 116
% Current number of ordered equations: 63
% Current number of rules: 408
% New rule produced :
% [657]
% quotient(quotient(difference(i(A),quotient(quotient(quotient(difference(
% i(B),quotient(
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C),
% quotient(
% difference(B,
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C)),
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C)))),B),A),
% quotient(difference(A,quotient(quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C),
% quotient(
% difference(B,
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C)),
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C)))),B),A)),
% quotient(quotient(difference(i(B),quotient(
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% i(
% quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% i(
% quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% i(
% quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C),
% quotient(
% difference(B,
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% i(
% quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% i(
% quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% i(
% quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C)),
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% i(
% quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% i(
% quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% i(
% quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C)))),B),A)))),A),
% i(quotient(A,quotient(difference(B,A),A)))) <->
% difference(i(quotient(A,quotient(difference(B,A),A))),quotient(eta(quotient(A,
% quotient(
% difference(B,A),A))),
% i(C)))
% Current number of equations to process: 116
% Current number of ordered equations: 62
% Current number of rules: 409
% New rule produced :
% [658]
% difference(i(quotient(A,quotient(difference(B,A),A))),quotient(eta(quotient(A,
% quotient(
% difference(B,A),A))),
% i(C))) <->
% quotient(quotient(difference(i(A),quotient(quotient(quotient(difference(
% i(B),quotient(
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C),
% quotient(
% difference(B,
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C)),
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C)))),B),A),
% quotient(difference(A,quotient(quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C),
% quotient(
% difference(B,
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C)),
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C)))),B),A)),
% quotient(quotient(difference(i(B),quotient(
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% i(
% quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% i(
% quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% i(
% quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C),
% quotient(
% difference(B,
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% i(
% quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% i(
% quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% i(
% quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C)),
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% i(
% quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% i(
% quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% i(
% quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C)))),B),A)))),A),
% i(quotient(A,quotient(difference(B,A),A))))
% Current number of equations to process: 116
% Current number of ordered equations: 61
% Current number of rules: 410
% New rule produced :
% [659]
% quotient(difference(quotient(eta(B),i(C)),quotient(quotient(quotient(
% eta(B),i(C)),
% quotient(difference(
% quotient(
% eta(B),i(C)),C),C)),
% quotient(difference(A,quotient(
% quotient(
% eta(B),
% i(C)),
% quotient(
% difference(
% quotient(
% eta(B),
% i(C)),C),C))),
% quotient(quotient(eta(B),i(C)),
% quotient(difference(quotient(
% eta(B),
% i(C)),C),C))))),A)
% ->
% quotient(t(quotient(eta(B),i(C)),quotient(A,quotient(difference(quotient(
% eta(B),
% i(C)),A),A))),A)
% Current number of equations to process: 115
% Current number of ordered equations: 61
% Current number of rules: 411
% New rule produced :
% [660] difference(eta(A),t(A,eta(A))) -> t(j(j(A)),quotient(eta(A),j(eta(A))))
% Current number of equations to process: 113
% Current number of ordered equations: 61
% Current number of rules: 412
% New rule produced :
% [661]
% quotient(difference(i(C),quotient(quotient(difference(i(difference(quotient(A,
% quotient(
% difference(C,A),A)),B)),
% quotient(difference(i(A),quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),B),
% quotient(
% difference(A,
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),B)),
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),B)))),A)),
% difference(quotient(A,quotient(difference(C,A),A)),B)),
% quotient(difference(C,quotient(difference(i(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),B)),
% quotient(difference(
% i(A),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),B),
% quotient(
% difference(A,
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),B)),
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),B)))),A)),
% difference(quotient(A,
% quotient(difference(C,A),A)),B))),
% quotient(difference(i(difference(quotient(A,
% quotient(difference(C,A),A)),B)),
% quotient(difference(i(A),quotient(difference(
% quotient(A,
% quotient(
% difference(C,A),A)),B),
% quotient(difference(A,
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),B)),
% difference(
% quotient(A,
% quotient(difference(C,A),A)),B)))),A)),
% difference(quotient(A,quotient(difference(C,A),A)),B))))),C)
% -> quotient(difference(i(difference(A,B)),B),difference(A,B))
% Current number of equations to process: 113
% Current number of ordered equations: 60
% Current number of rules: 413
% New rule produced :
% [662]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,
% quotient(
% difference(
% i(quotient(
% difference(B,A),A)),
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(
% quotient(
% difference(B,A),A),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(V_3,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,
% quotient(
% difference(
% i(quotient(
% difference(B,A),A)),
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(
% quotient(
% difference(B,A),A),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,
% quotient(difference(
% i(quotient(
% difference(B,A),A)),
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(
% quotient(
% difference(B,A),A),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))),A)))))
% <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(
% difference(V_3,
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A))),A),A),A)))
% Current number of equations to process: 111
% Current number of ordered equations: 61
% Current number of rules: 414
% New rule produced :
% [663]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(V_3,
% quotient(
% difference(
% i(
% quotient(
% difference(C,A),A)),
% quotient(
% quotient(A,
% quotient(
% difference(C,A),A)),
% quotient(
% difference(
% quotient(
% difference(C,A),A),
% quotient(A,
% quotient(
% difference(C,A),A))),
% quotient(A,
% quotient(
% difference(C,A),A))))),
% quotient(
% difference(C,A),A))),
% quotient(A,
% quotient(
% difference(C,A),A))),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(quotient(quotient(quotient(quotient(quotient(C,quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),C),C)),A),
% quotient(difference(quotient(A,j(A)),
% quotient(quotient(C,quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),C),C)),A)),
% quotient(quotient(C,quotient(difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),C),C)),A))),A),A),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% Current number of equations to process: 111
% Current number of ordered equations: 60
% Current number of rules: 415
% New rule produced :
% [664]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(quotient(quotient(quotient(quotient(quotient(C,quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),C),C)),A),
% quotient(difference(quotient(A,j(A)),
% quotient(quotient(C,quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),C),C)),A)),
% quotient(quotient(C,quotient(difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),C),C)),A))),A),A),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(V_3,
% quotient(
% difference(
% i(
% quotient(
% difference(C,A),A)),
% quotient(
% quotient(A,
% quotient(
% difference(C,A),A)),
% quotient(
% difference(
% quotient(
% difference(C,A),A),
% quotient(A,
% quotient(
% difference(C,A),A))),
% quotient(A,
% quotient(
% difference(C,A),A))))),
% quotient(
% difference(C,A),A))),
% quotient(A,
% quotient(
% difference(C,A),A))),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% Current number of equations to process: 111
% Current number of ordered equations: 59
% Current number of rules: 416
% New rule produced :
% [665]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(
% difference(V_3,
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A))),A),A),A)))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,
% quotient(
% difference(
% i(quotient(
% difference(B,A),A)),
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(
% quotient(
% difference(B,A),A),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(V_3,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,
% quotient(
% difference(
% i(quotient(
% difference(B,A),A)),
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(
% quotient(
% difference(B,A),A),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,
% quotient(difference(
% i(quotient(
% difference(B,A),A)),
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(
% quotient(
% difference(B,A),A),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))),A)))))
% Current number of equations to process: 111
% Current number of ordered equations: 58
% Current number of rules: 417
% New rule produced :
% [666]
% quotient(quotient(quotient(A,quotient(difference(quotient(quotient(B,
% quotient(difference(C,B),B)),
% quotient(difference(V_3,
% quotient(B,
% quotient(difference(C,B),B))),
% quotient(B,quotient(
% difference(C,B),B)))),A),A)),
% quotient(quotient(C,quotient(difference(quotient(V_3,quotient(
% difference(B,V_3),V_3)),C),C)),B)),B)
% <->
% quotient(quotient(quotient(A,quotient(difference(quotient(difference(
% i(B),quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B),
% quotient(
% difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)))),B),A),A)),
% quotient(quotient(C,quotient(difference(quotient(V_3,quotient(
% difference(B,V_3),V_3)),C),C)),B)),B)
% Current number of equations to process: 111
% Current number of ordered equations: 57
% Current number of rules: 418
% New rule produced :
% [667]
% quotient(quotient(quotient(A,quotient(difference(quotient(difference(
% i(B),quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B),
% quotient(
% difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)))),B),A),A)),
% quotient(quotient(C,quotient(difference(quotient(V_3,quotient(
% difference(B,V_3),V_3)),C),C)),B)),B)
% <->
% quotient(quotient(quotient(A,quotient(difference(quotient(quotient(B,
% quotient(difference(C,B),B)),
% quotient(difference(V_3,
% quotient(B,
% quotient(difference(C,B),B))),
% quotient(B,quotient(
% difference(C,B),B)))),A),A)),
% quotient(quotient(C,quotient(difference(quotient(V_3,quotient(
% difference(B,V_3),V_3)),C),C)),B)),B)
% Current number of equations to process: 111
% Current number of ordered equations: 56
% Current number of rules: 419
% New rule produced :
% [668]
% quotient(quotient(quotient(V_3,quotient(difference(quotient(difference(
% i(A),quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(
% difference(A,
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A),V_3),V_3)),
% quotient(quotient(B,quotient(difference(quotient(C,quotient(
% difference(A,C),C)),B),B)),A)),A)
% <->
% difference(quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(difference(i(A),quotient(quotient(quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(V_3,quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A))),
% quotient(difference(A,quotient(quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(V_3,
% quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),
% quotient(quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(V_3,quotient(quotient(B,
% quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))))),A))
% Current number of equations to process: 111
% Current number of ordered equations: 55
% Current number of rules: 420
% New rule produced :
% [669]
% difference(quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(difference(i(A),quotient(quotient(quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(V_3,quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A))),
% quotient(difference(A,quotient(quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(V_3,
% quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),
% quotient(quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(V_3,quotient(quotient(B,
% quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))))),A))
% <->
% quotient(quotient(quotient(V_3,quotient(difference(quotient(difference(
% i(A),quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(
% difference(A,
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A),V_3),V_3)),
% quotient(quotient(B,quotient(difference(quotient(C,quotient(
% difference(A,C),C)),B),B)),A)),A)
% Current number of equations to process: 111
% Current number of ordered equations: 54
% Current number of rules: 421
% New rule produced :
% [670]
% quotient(difference(i(t(A,B)),quotient(difference(i(A),quotient(t(A,B),
% quotient(difference(A,
% t(A,B)),
% t(A,B)))),A)),
% t(A,B)) -> quotient(A,quotient(difference(B,A),A))
% Current number of equations to process: 110
% Current number of ordered equations: 54
% Current number of rules: 422
% New rule produced :
% [671]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))
% ->
% t(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,A),A),A))))
% Current number of equations to process: 110
% Current number of ordered equations: 53
% Current number of rules: 423
% New rule produced :
% [672]
% quotient(quotient(eta(A),j(eta(B))),difference(quotient(A,quotient(difference(
% eta(B),A),A)),
% eta(B))) ->
% quotient(quotient(eta(A),i(quotient(A,quotient(difference(i(i(B)),A),A)))),B)
% Rule
% [652]
% quotient(quotient(A,quotient(difference(quotient(quotient(eta(B),j(eta(C))),
% difference(quotient(B,quotient(
% difference(
% eta(C),B),B)),
% eta(C))),A),A)),eta(C)) ->
% quotient(A,quotient(difference(i(i(B)),A),A)) collapsed.
% Current number of equations to process: 110
% Current number of ordered equations: 53
% Current number of rules: 423
% New rule produced :
% [673]
% quotient(quotient(A,quotient(difference(quotient(quotient(eta(B),i(quotient(B,
% quotient(
% difference(
% i(
% i(C)),B),B)))),C),A),A)),
% eta(C)) -> quotient(A,quotient(difference(i(i(B)),A),A))
% Current number of equations to process: 109
% Current number of ordered equations: 53
% Current number of rules: 424
% New rule produced :
% [674]
% quotient(difference(i(A),quotient(quotient(quotient(eta(B),i(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)))),A),
% quotient(difference(A,quotient(quotient(eta(B),
% i(quotient(B,
% quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)))),A)),
% quotient(quotient(eta(B),i(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)))),A)))),A)
% <->
% quotient(quotient(A,quotient(difference(i(i(B)),A),A)),quotient(difference(C,
% quotient(A,
% quotient(
% difference(
% i(i(B)),A),A))),
% quotient(A,quotient(
% difference(
% i(i(B)),A),A))))
% Current number of equations to process: 108
% Current number of ordered equations: 54
% Current number of rules: 425
% New rule produced :
% [675]
% quotient(quotient(A,quotient(difference(i(i(B)),A),A)),quotient(difference(C,
% quotient(A,
% quotient(
% difference(
% i(i(B)),A),A))),
% quotient(A,quotient(
% difference(
% i(i(B)),A),A))))
% <->
% quotient(difference(i(A),quotient(quotient(quotient(eta(B),i(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)))),A),
% quotient(difference(A,quotient(quotient(eta(B),
% i(quotient(B,
% quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)))),A)),
% quotient(quotient(eta(B),i(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)))),A)))),A)
% Current number of equations to process: 108
% Current number of ordered equations: 53
% Current number of rules: 426
% New rule produced :
% [676]
% quotient(t(A,quotient(t(A,B),quotient(difference(A,t(A,B)),t(A,B)))),t(A,B))
% <-> quotient(t(A,quotient(A,quotient(difference(B,A),A))),t(A,B))
% Current number of equations to process: 107
% Current number of ordered equations: 54
% Current number of rules: 427
% New rule produced :
% [677]
% quotient(t(A,quotient(A,quotient(difference(B,A),A))),t(A,B)) <->
% quotient(t(A,quotient(t(A,B),quotient(difference(A,t(A,B)),t(A,B)))),t(A,B))
% Current number of equations to process: 107
% Current number of ordered equations: 53
% Current number of rules: 428
% Rule [675]
% quotient(quotient(A,quotient(difference(i(i(B)),A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(
% i(i(B)),A),A))),
% quotient(A,
% quotient(
% difference(
% i(i(B)),A),A))))
% <->
% quotient(difference(i(A),quotient(quotient(quotient(eta(B),i(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)))),A),
% quotient(difference(A,quotient(quotient(
% eta(B),i(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)))),A)),
% quotient(quotient(eta(B),i(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)))),A)))),A) is composed into
% [675]
% quotient(quotient(A,quotient(difference(i(i(B)),A),A)),quotient(difference(C,
% quotient(A,
% quotient(
% difference(
% i(i(B)),A),A))),
% quotient(A,quotient(
% difference(
% i(i(B)),A),A))))
% <->
% quotient(difference(i(A),quotient(eta(B),i(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B))))),A)
% Rule [669]
% difference(quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(difference(i(A),quotient(quotient(quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(V_3,quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A))),
% quotient(difference(A,quotient(quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(V_3,
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),
% quotient(quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(V_3,quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(difference(A,C),C)),B),B)),A)))))),A))
% <->
% quotient(quotient(quotient(V_3,quotient(difference(quotient(difference(
% i(A),
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(
% difference(A,
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A),V_3),V_3)),
% quotient(quotient(B,quotient(difference(quotient(C,quotient(
% difference(A,C),C)),B),B)),A)),A) is composed into
% [669]
% difference(quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(difference(i(A),quotient(quotient(quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(V_3,quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A))),
% quotient(difference(A,quotient(quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(V_3,
% quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),
% quotient(quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(V_3,quotient(quotient(B,
% quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))))),A))
% <->
% quotient(quotient(quotient(V_3,quotient(difference(quotient(difference(
% i(A),quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B))),A),V_3),V_3)),
% quotient(quotient(B,quotient(difference(quotient(C,quotient(
% difference(A,C),C)),B),B)),A)),A)
% Rule [666]
% quotient(quotient(quotient(A,quotient(difference(quotient(quotient(B,
% quotient(
% difference(C,B),B)),
% quotient(difference(V_3,
% quotient(B,
% quotient(
% difference(C,B),B))),
% quotient(B,quotient(
% difference(C,B),B)))),A),A)),
% quotient(quotient(C,quotient(difference(quotient(V_3,quotient(
% difference(B,V_3),V_3)),C),C)),B)),B)
% <->
% quotient(quotient(quotient(A,quotient(difference(quotient(difference(
% i(B),quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B),
% quotient(
% difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)))),B),A),A)),
% quotient(quotient(C,quotient(difference(quotient(V_3,quotient(
% difference(B,V_3),V_3)),C),C)),B)),B) is composed into
% [666]
% quotient(quotient(quotient(A,quotient(difference(quotient(quotient(B,
% quotient(difference(C,B),B)),
% quotient(difference(V_3,
% quotient(B,
% quotient(difference(C,B),B))),
% quotient(B,quotient(
% difference(C,B),B)))),A),A)),
% quotient(quotient(C,quotient(difference(quotient(V_3,quotient(
% difference(B,V_3),V_3)),C),C)),B)),B)
% <->
% quotient(quotient(quotient(A,quotient(difference(quotient(difference(
% i(B),quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C))),B),A),A)),
% quotient(quotient(C,quotient(difference(quotient(V_3,quotient(
% difference(B,V_3),V_3)),C),C)),B)),B)
% Rule [665]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(
% difference(V_3,
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A))),A),A),A)))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,
% quotient(
% difference(
% i(quotient(
% difference(B,A),A)),
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(
% quotient(
% difference(B,A),A),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(V_3,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,
% quotient(
% difference(
% i(quotient(
% difference(B,A),A)),
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(
% quotient(
% difference(B,A),A),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,
% quotient(
% difference(
% i(quotient(
% difference(B,A),A)),
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(
% quotient(
% difference(B,A),A),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))),A))))) is composed into
% [665]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(
% difference(V_3,
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A))),A),A),A)))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,
% quotient(
% difference(
% i(quotient(
% difference(B,A),A)),A),
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(V_3,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,
% quotient(
% difference(
% i(quotient(
% difference(B,A),A)),A),
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,
% quotient(difference(
% i(quotient(
% difference(B,A),A)),A),
% quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))),A)))))
% Rule [664]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% quotient(difference(quotient(quotient(quotient(quotient(quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),C),C)),A),
% quotient(difference(quotient(A,
% j(A)),
% quotient(quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),C),C)),A)),
% quotient(quotient(C,quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),C),C)),A))),A),A),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(V_3,
% quotient(
% difference(
% i(quotient(
% difference(C,A),A)),
% quotient(
% quotient(A,
% quotient(
% difference(C,A),A)),
% quotient(
% difference(
% quotient(
% difference(C,A),A),
% quotient(A,
% quotient(
% difference(C,A),A))),
% quotient(A,
% quotient(
% difference(C,A),A))))),
% quotient(
% difference(C,A),A))),
% quotient(A,
% quotient(
% difference(C,A),A))),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))) is composed into
% [664]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(quotient(quotient(quotient(quotient(quotient(C,quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),C),C)),A),
% quotient(difference(quotient(A,j(A)),
% quotient(quotient(C,quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),C),C)),A)),
% quotient(quotient(C,quotient(difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),C),C)),A))),A),A),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(V_3,
% quotient(
% difference(
% i(
% quotient(
% difference(C,A),A)),A),
% quotient(
% difference(C,A),A))),
% quotient(A,
% quotient(
% difference(C,A),A))),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% Rule [658]
% difference(i(quotient(A,quotient(difference(B,A),A))),quotient(eta(
% quotient(A,
% quotient(
% difference(B,A),A))),
% i(C))) <->
% quotient(quotient(difference(i(A),quotient(quotient(quotient(difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C),
% quotient(
% difference(B,
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C)),
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C)))),B),A),
% quotient(difference(A,quotient(
% quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C),
% quotient(
% difference(B,
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C)),
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C)))),B),A)),
% quotient(quotient(difference(i(B),
% quotient(quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C),
% quotient(difference(B,
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C)),
% quotient(difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C)))),B),A)))),A),
% i(quotient(A,quotient(difference(B,A),A)))) is composed into [658]
% difference(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% eta(
% quotient(A,
% quotient(
% difference(B,A),A))),
% i(C))) <->
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(C),
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A)))))),C),
% quotient(
% difference(B,
% quotient(
% difference(
% i(C),
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A)))))),C)),
% quotient(
% difference(
% i(C),
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A)))))),C)))),B)),A),
% i(quotient(A,
% quotient(
% difference(B,A),A))))
% Rule [647]
% quotient(A,quotient(difference(B,A),A)) <->
% quotient(quotient(difference(i(A),quotient(quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(A,quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A),C) is composed into
% [647]
% quotient(A,quotient(difference(B,A),A)) <->
% quotient(quotient(difference(i(A),quotient(B,quotient(difference(quotient(C,
% quotient(
% difference(A,C),C)),B),B))),A),C)
% Rule [631]
% quotient(t(eta(A),quotient(B,quotient(difference(C,B),B))),quotient(
% difference(V_3,
% t(eta(A),
% quotient(B,
% quotient(
% difference(C,B),B)))),
% t(eta(A),
% quotient(B,
% quotient(
% difference(C,B),B)))))
% <->
% quotient(difference(i(t(eta(A),B)),quotient(quotient(quotient(t(
% eta(A),C),
% quotient(difference(
% quotient(V_3,
% quotient(
% difference(
% t(
% eta(A),B),V_3),V_3)),
% t(
% eta(A),C)),
% t(eta(A),C))),
% t(eta(A),B)),quotient(
% difference(
% t(eta(A),B),
% quotient(
% quotient(
% t(eta(A),C),
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(
% t(eta(A),B),V_3),V_3)),
% t(eta(A),C)),
% t(eta(A),C))),
% t(eta(A),B))),
% quotient(
% quotient(
% t(eta(A),C),
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(
% t(eta(A),B),V_3),V_3)),
% t(eta(A),C)),
% t(eta(A),C))),
% t(eta(A),B))))),
% t(eta(A),B)) is composed into [631]
% quotient(t(eta(A),quotient(B,quotient(
% difference(C,B),B))),
% quotient(difference(V_3,t(eta(A),quotient(B,
% quotient(
% difference(C,B),B)))),
% t(eta(A),quotient(B,quotient(difference(C,B),B)))))
% <->
% quotient(difference(i(t(eta(A),B)),
% quotient(t(eta(A),C),quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(
% t(eta(A),B),V_3),V_3)),
% t(eta(A),C)),
% t(eta(A),C)))),
% t(eta(A),B))
% Rule [607]
% quotient(quotient(quotient(V_3,quotient(difference(quotient(quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))),V_3),V_3)),C),
% quotient(A,quotient(difference(B,A),A))) <->
% difference(quotient(difference(i(A),quotient(quotient(quotient(B,
% quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(A,quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))) is composed into
% [607]
% quotient(quotient(quotient(V_3,quotient(difference(quotient(quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))),V_3),V_3)),C),
% quotient(A,quotient(difference(B,A),A))) <->
% difference(quotient(difference(i(A),quotient(B,quotient(difference(quotient(C,
% quotient(
% difference(A,C),C)),B),B))),A),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% quotient(C,
% quotient(difference(V_3,C),C)),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% Rule [605]
% quotient(quotient(quotient(A,quotient(difference(quotient(quotient(B,
% quotient(
% difference(C,B),B)),
% quotient(difference(V_3,
% quotient(B,
% quotient(
% difference(C,B),B))),
% quotient(B,quotient(
% difference(C,B),B)))),A),A)),V_3),
% quotient(B,quotient(difference(C,B),B))) <->
% quotient(quotient(quotient(A,quotient(difference(quotient(difference(
% i(B),quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B),
% quotient(
% difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)))),B),A),A)),V_3),
% quotient(B,quotient(difference(C,B),B))) is composed into [605]
% quotient(
% quotient(
% quotient(A,
% quotient(
% difference(
% quotient(
% quotient(B,
% quotient(
% difference(C,B),B)),
% quotient(
% difference(V_3,
% quotient(B,
% quotient(
% difference(C,B),B))),
% quotient(B,
% quotient(
% difference(C,B),B)))),A),A)),V_3),
% quotient(B,
% quotient(
% difference(C,B),B)))
% <->
% quotient(
% quotient(
% quotient(A,
% quotient(
% difference(
% quotient(
% difference(
% i(B),quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C))),B),A),A)),V_3),
% quotient(B,
% quotient(
% difference(C,B),B)))
% Rule [603]
% quotient(quotient(t(eta(A),B),quotient(difference(C,t(eta(A),B)),
% t(eta(A),B))),quotient(difference(
% t(eta(A),V_3),
% quotient(t(
% eta(A),B),
% quotient(difference(C,
% t(
% eta(A),B)),
% t(eta(A),B)))),
% quotient(t(eta(A),B),
% quotient(difference(C,
% t(eta(A),B)),
% t(eta(A),B))))) <->
% quotient(difference(i(t(eta(A),B)),quotient(quotient(quotient(C,
% quotient(difference(
% t(
% eta(A),
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3))),C),C)),
% t(eta(A),B)),quotient(
% difference(
% t(eta(A),B),
% quotient(
% quotient(C,
% quotient(
% difference(
% t(eta(A),
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3))),C),C)),
% t(eta(A),B))),
% quotient(
% quotient(C,
% quotient(
% difference(
% t(eta(A),
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3))),C),C)),
% t(eta(A),B))))),
% t(eta(A),B)) is composed into [603]
% quotient(quotient(t(eta(A),B),quotient(
% difference(C,
% t(eta(A),B)),
% t(eta(A),B))),
% quotient(difference(t(eta(A),V_3),
% quotient(t(eta(A),B),quotient(
% difference(C,
% t(eta(A),B)),
% t(eta(A),B)))),
% quotient(t(eta(A),B),quotient(difference(C,
% t(eta(A),B)),
% t(eta(A),B))))) <->
% quotient(difference(i(t(eta(A),B)),
% quotient(C,quotient(difference(
% t(eta(A),
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3))),C),C))),
% t(eta(A),B))
% Rule [584]
% quotient(difference(A,quotient(quotient(B,quotient(difference(C,B),B)),
% quotient(difference(V_3,quotient(B,quotient(
% difference(C,B),B))),
% quotient(B,quotient(difference(C,B),B))))),
% quotient(quotient(C,quotient(difference(quotient(V_3,quotient(difference(B,V_3),V_3)),C),C)),B))
% <->
% quotient(difference(A,quotient(difference(i(B),quotient(quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B),
% quotient(difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)),
% quotient(quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)))),B)),
% quotient(quotient(C,quotient(difference(quotient(V_3,quotient(difference(B,V_3),V_3)),C),C)),B)) is composed into
% [584]
% quotient(difference(A,quotient(quotient(B,quotient(difference(C,B),B)),
% quotient(difference(V_3,quotient(B,quotient(difference(C,B),B))),
% quotient(B,quotient(difference(C,B),B))))),quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B))
% <->
% quotient(difference(A,quotient(difference(i(B),quotient(C,quotient(difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C))),B)),
% quotient(quotient(C,quotient(difference(quotient(V_3,quotient(difference(B,V_3),V_3)),C),C)),B))
% Rule [577]
% quotient(quotient(A,quotient(difference(j(j(B)),A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(
% j(j(B)),A),A))),
% quotient(A,
% quotient(
% difference(
% j(j(B)),A),A))))
% <->
% quotient(difference(i(A),quotient(quotient(quotient(difference(i(B),
% quotient(quotient(
% eta(B),
% i(quotient(C,
% quotient(
% difference(A,C),C)))),
% quotient(difference(B,
% quotient(C,
% quotient(
% difference(A,C),C))),
% quotient(C,quotient(
% difference(A,C),C))))),B),A),
% quotient(difference(A,quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% eta(B),
% i(quotient(C,
% quotient(
% difference(A,C),C)))),
% quotient(
% difference(B,
% quotient(C,
% quotient(
% difference(A,C),C))),
% quotient(C,
% quotient(
% difference(A,C),C))))),B),A)),
% quotient(quotient(difference(i(B),quotient(
% quotient(
% eta(B),
% i(quotient(C,
% quotient(
% difference(A,C),C)))),
% quotient(
% difference(B,
% quotient(C,
% quotient(
% difference(A,C),C))),
% quotient(C,
% quotient(
% difference(A,C),C))))),B),A)))),A) is composed into
% [577]
% quotient(quotient(A,quotient(difference(j(j(B)),A),A)),quotient(difference(C,
% quotient(A,
% quotient(
% difference(
% j(j(B)),A),A))),
% quotient(A,quotient(
% difference(
% j(j(B)),A),A))))
% <->
% quotient(difference(i(A),quotient(difference(i(B),quotient(quotient(eta(B),
% i(quotient(C,
% quotient(
% difference(A,C),C)))),
% quotient(difference(B,
% quotient(C,
% quotient(difference(A,C),C))),
% quotient(C,quotient(
% difference(A,C),C))))),B)),A)
% Rule [560]
% difference(i(A),quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B)))
% <->
% quotient(quotient(difference(i(A),quotient(quotient(difference(i(B),
% quotient(quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B),
% quotient(difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B)),
% quotient(quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B)))),B),
% quotient(difference(A,quotient(
% difference(
% i(B),quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B),
% quotient(
% difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B)),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B)))),B)),
% quotient(difference(i(B),quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B),
% quotient(
% difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B)),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B)))),B)))),A),
% i(A)) is composed into [560]
% difference(i(A),quotient(quotient(eta(A),i(B)),
% quotient(difference(C,B),B))) <->
% quotient(quotient(difference(i(A),quotient(
% quotient(
% difference(
% i(B),quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C))),B),
% quotient(
% difference(A,
% quotient(
% difference(
% i(B),quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C))),B)),
% quotient(
% difference(
% i(B),quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C))),B)))),A),
% i(A))
% Rule [553]
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% eta(C),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% <->
% quotient(quotient(difference(i(A),quotient(quotient(quotient(B,quotient(
% difference(
% quotient(
% eta(C),
% i(
% quotient(C,
% quotient(
% difference(A,C),C)))),B),B)),A),
% quotient(difference(A,quotient(
% quotient(B,
% quotient(
% difference(
% quotient(
% eta(C),i(
% quotient(C,
% quotient(
% difference(A,C),C)))),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(
% eta(C),
% i(
% quotient(C,
% quotient(
% difference(A,C),C)))),B),B)),A)))),A),C) is composed into
% [553]
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% eta(C),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% <->
% quotient(quotient(difference(i(A),quotient(B,quotient(difference(quotient(
% eta(C),
% i(quotient(C,
% quotient(
% difference(A,C),C)))),B),B))),A),C)
% Rule [544]
% quotient(difference(C,quotient(V_3,quotient(difference(quotient(A,
% quotient(
% difference(B,A),A)),V_3),V_3))),
% quotient(A,quotient(difference(B,A),A))) <->
% difference(quotient(difference(i(A),quotient(quotient(quotient(B,
% quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(A,quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(V_3,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))) is composed into
% [544]
% quotient(difference(C,quotient(V_3,quotient(difference(quotient(A,quotient(
% difference(B,A),A)),V_3),V_3))),
% quotient(A,quotient(difference(B,A),A))) <->
% difference(quotient(difference(i(A),quotient(B,quotient(difference(quotient(C,
% quotient(
% difference(A,C),C)),B),B))),A),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(V_3,
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% Rule [535]
% quotient(quotient(quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(quotient(C,quotient(difference(V_3,C),C)),
% quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))),V_3),C) <->
% quotient(quotient(quotient(difference(i(A),quotient(quotient(quotient(B,
% quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(V_3,C),C))),
% quotient(C,
% quotient(
% difference(V_3,C),C)))),B),B)),A),
% quotient(difference(A,
% quotient(quotient(B,
% quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(V_3,C),C))),
% quotient(C,
% quotient(
% difference(V_3,C),C)))),B),B)),A)),
% quotient(quotient(B,quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(V_3,C),C))),
% quotient(C,
% quotient(
% difference(V_3,C),C)))),B),B)),A)))),A),V_3),C) is composed into
% [535]
% quotient(quotient(quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),V_3),C)
% <->
% quotient(quotient(quotient(difference(i(A),quotient(B,quotient(difference(
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(V_3,C),C))),
% quotient(C,
% quotient(
% difference(V_3,C),C)))),B),B))),A),V_3),C)
% Rule [533]
% quotient(quotient(C,quotient(difference(quotient(V_3,quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),V_3),V_3)),C),C)),
% quotient(A,quotient(difference(B,A),A))) <->
% difference(quotient(A,quotient(difference(B,A),A)),quotient(quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(
% difference(A,
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A),
% quotient(difference(V_3,
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(
% difference(A,
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A)),
% quotient(difference(
% i(A),
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(
% difference(A,
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A)))) is composed into
% [533]
% quotient(quotient(C,quotient(difference(quotient(V_3,quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),V_3),V_3)),C),C)),
% quotient(A,quotient(difference(B,A),A))) <->
% difference(quotient(A,quotient(difference(B,A),A)),quotient(quotient(
% difference(
% i(A),quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B))),A),
% quotient(difference(V_3,
% quotient(
% difference(
% i(A),quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B))),A)),
% quotient(difference(
% i(A),quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B))),A))))
% Rule [528]
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% quotient(
% eta(C),
% i(V_3)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% <->
% quotient(difference(i(A),quotient(quotient(quotient(B,quotient(difference(
% quotient(
% quotient(
% eta(C),
% i(V_3)),
% quotient(
% difference(A,V_3),V_3)),B),B)),A),
% quotient(difference(A,quotient(quotient(B,
% quotient(
% difference(
% quotient(
% quotient(
% eta(C),i(V_3)),
% quotient(
% difference(A,V_3),V_3)),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(quotient(
% eta(C),
% i(V_3)),
% quotient(difference(A,V_3),V_3)),B),B)),A)))),A) is composed into
% [528]
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% quotient(eta(C),
% i(V_3)),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% <->
% quotient(difference(i(A),quotient(B,quotient(difference(quotient(quotient(
% eta(C),
% i(V_3)),
% quotient(difference(A,V_3),V_3)),B),B))),A)
% Rule [525]
% quotient(quotient(A,quotient(difference(quotient(eta(B),i(C)),A),A)),
% quotient(difference(V_3,quotient(A,quotient(difference(quotient(
% eta(B),i(C)),A),A))),
% quotient(A,quotient(difference(quotient(eta(B),i(C)),A),A)))) <->
% quotient(difference(i(A),quotient(quotient(quotient(quotient(eta(B),
% i(C)),quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),C),C)),A),
% quotient(difference(A,quotient(quotient(
% quotient(
% eta(B),i(C)),
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),C),C)),A)),
% quotient(quotient(quotient(eta(B),i(C)),
% quotient(difference(quotient(V_3,
% quotient(difference(A,V_3),V_3)),C),C)),A)))),A) is composed into
% [525]
% quotient(quotient(A,quotient(difference(quotient(eta(B),i(C)),A),A)),
% quotient(difference(V_3,quotient(A,quotient(difference(quotient(eta(B),i(C)),A),A))),
% quotient(A,quotient(difference(quotient(eta(B),i(C)),A),A)))) <->
% quotient(difference(i(A),quotient(quotient(eta(B),i(C)),quotient(difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),C),C))),A)
% Rule [515]
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% i(i(C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% <->
% quotient(difference(i(A),quotient(quotient(quotient(B,quotient(difference(
% quotient(
% eta(C),
% i(
% quotient(C,
% quotient(
% difference(A,C),C)))),B),B)),A),
% quotient(difference(A,quotient(quotient(B,
% quotient(
% difference(
% quotient(
% eta(C),i(
% quotient(C,
% quotient(
% difference(A,C),C)))),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(eta(C),
% i(quotient(C,
% quotient(
% difference(A,C),C)))),B),B)),A)))),A) is composed into
% [515]
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% i(i(C)),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% <->
% quotient(difference(i(A),quotient(B,quotient(difference(quotient(eta(C),
% i(quotient(C,
% quotient(difference(A,C),C)))),B),B))),A)
% Rule [475]
% quotient(quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A)),
% quotient(difference(V_3,quotient(A,quotient(difference(quotient(B,
% quotient(
% difference(C,B),B)),A),A))),
% quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A))))
% <->
% quotient(difference(i(A),quotient(quotient(quotient(difference(i(B),
% quotient(quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B),
% quotient(difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B)),
% quotient(quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B)))),B),A),
% quotient(difference(A,quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B),
% quotient(
% difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B)),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B)))),B),A)),
% quotient(quotient(difference(i(B),quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B),
% quotient(
% difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B)),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B)))),B),A)))),A) is composed into
% [475]
% quotient(quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A)),
% quotient(difference(V_3,quotient(A,quotient(difference(quotient(B,quotient(
% difference(C,B),B)),A),A))),
% quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A))))
% <->
% quotient(difference(i(A),quotient(difference(i(B),quotient(C,quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C))),B)),A)
% Rule [474]
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(difference(V_3,quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(C,quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))))
% <->
% quotient(difference(i(A),quotient(quotient(quotient(quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A))),A),
% quotient(difference(A,quotient(quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A))),A)),
% quotient(quotient(quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(quotient(V_3,
% quotient(difference(A,V_3),V_3)),
% quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A))),A)))),A) is composed into
% [474]
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A)))),
% quotient(difference(V_3,quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(C,quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))))
% <->
% quotient(difference(i(A),quotient(quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(quotient(V_3,quotient(difference(A,V_3),V_3)),
% quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A)
% Rule [473]
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% <->
% quotient(difference(i(A),quotient(quotient(quotient(B,quotient(difference(
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C),
% quotient(
% difference(C,
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C)),
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C)))),C),B),B)),A),
% quotient(difference(A,quotient(quotient(B,
% quotient(
% difference(
% quotient(
% difference(
% i(C),quotient(
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C),
% quotient(
% difference(C,
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C)),
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C)))),C),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(difference(
% i(C),
% quotient(
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C),
% quotient(
% difference(C,
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C)),
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C)))),C),B),B)),A)))),A) is composed into
% [473]
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% quotient(C,
% quotient(difference(V_3,C),C)),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% <->
% quotient(difference(i(A),quotient(B,quotient(difference(quotient(difference(
% i(C),
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3))),C),B),B))),A)
% Rule [444]
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% <->
% quotient(quotient(difference(i(A),quotient(quotient(quotient(B,quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C))),
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C)))),B),B)),A),
% quotient(difference(A,quotient(
% quotient(B,
% quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C))),
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C)))),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C))),
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C)))),B),B)),A)))),A),
% eta(V_3)) is composed into [444]
% quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(C,quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))) <->
% quotient(quotient(difference(i(A),quotient(B,
% quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C))),
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C)))),B),B))),A),
% eta(V_3))
% Rule [441]
% quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A))
% <->
% quotient(quotient(A,quotient(difference(quotient(difference(i(B),
% quotient(quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% eta(V_3),
% i(B)),C),C)),B),
% quotient(difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% eta(V_3),
% i(B)),C),C)),B)),
% quotient(quotient(C,
% quotient(
% difference(
% quotient(
% eta(V_3),
% i(B)),C),C)),B)))),B),A),A)),
% eta(V_3)) is composed into [441]
% quotient(A,quotient(difference(quotient(B,
% quotient(
% difference(C,B),B)),A),A))
% <->
% quotient(quotient(A,quotient(difference(
% quotient(
% difference(
% i(B),quotient(C,
% quotient(
% difference(
% quotient(
% eta(V_3),
% i(B)),C),C))),B),A),A)),
% eta(V_3))
% Rule [436]
% difference(V_3,quotient(quotient(V_3,quotient(difference(quotient(A,
% quotient(
% difference(B,A),A)),V_3),V_3)),
% quotient(difference(C,quotient(V_3,quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),V_3),V_3))),
% quotient(V_3,quotient(difference(quotient(A,quotient(
% difference(B,A),A)),V_3),V_3)))))
% <->
% quotient(quotient(difference(i(A),quotient(quotient(quotient(B,quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(V_3,C),C))),
% quotient(C,
% quotient(
% difference(V_3,C),C)))),B),B)),A),
% quotient(difference(A,quotient(
% quotient(B,
% quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(V_3,C),C))),
% quotient(C,
% quotient(
% difference(V_3,C),C)))),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(V_3,C),C))),
% quotient(C,
% quotient(
% difference(V_3,C),C)))),B),B)),A)))),A),V_3) is composed into
% [436]
% difference(V_3,quotient(quotient(V_3,quotient(difference(quotient(A,quotient(
% difference(B,A),A)),V_3),V_3)),
% quotient(difference(C,quotient(V_3,quotient(difference(
% quotient(A,
% quotient(difference(B,A),A)),V_3),V_3))),
% quotient(V_3,quotient(difference(quotient(A,quotient(difference(B,A),A)),V_3),V_3)))))
% <->
% quotient(quotient(difference(i(A),quotient(B,quotient(difference(quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(V_3,C),C))),
% quotient(C,
% quotient(
% difference(V_3,C),C)))),B),B))),A),V_3)
% Rule [435]
% difference(V_3,quotient(quotient(V_3,quotient(difference(A,V_3),V_3)),
% quotient(difference(quotient(B,quotient(difference(C,B),B)),
% quotient(V_3,quotient(difference(A,V_3),V_3))),
% quotient(V_3,quotient(difference(A,V_3),V_3))))) <->
% quotient(quotient(A,quotient(difference(quotient(difference(i(B),
% quotient(quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B),
% quotient(difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)),
% quotient(quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)))),B),A),A)),V_3) is composed into
% [435]
% difference(V_3,quotient(quotient(V_3,quotient(difference(A,V_3),V_3)),
% quotient(difference(quotient(B,quotient(difference(C,B),B)),
% quotient(V_3,quotient(difference(A,V_3),V_3))),
% quotient(V_3,quotient(difference(A,V_3),V_3))))) <->
% quotient(quotient(A,quotient(difference(quotient(difference(i(B),quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C))),B),A),A)),V_3)
% Rule [352]
% difference(quotient(quotient(A,B),quotient(difference(C,quotient(A,B)),
% quotient(A,B))),A) ->
% quotient(difference(C,quotient(difference(i(B),quotient(quotient(A,B),
% quotient(difference(B,
% quotient(A,B)),
% quotient(A,B)))),B)),
% quotient(A,B)) is composed into [352]
% difference(quotient(quotient(A,B),
% quotient(difference(C,
% quotient(A,B)),
% quotient(A,B))),A) ->
% quotient(difference(C,quotient(difference(
% i(B),A),B)),
% quotient(A,B))
% New rule produced :
% [678]
% quotient(quotient(A,B),quotient(difference(B,quotient(A,B)),quotient(A,B)))
% -> A
% Rule
% [333]
% quotient(quotient(quotient(quotient(C,quotient(difference(quotient(A,
% quotient(difference(B,A),A)),C),C)),B),A),
% quotient(difference(A,quotient(quotient(quotient(C,quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B),A)),
% quotient(quotient(quotient(C,quotient(difference(quotient(A,quotient(
% difference(B,A),A)),C),C)),B),A)))
% ->
% quotient(quotient(C,quotient(difference(quotient(A,quotient(difference(B,A),A)),C),C)),B)
% collapsed.
% Rule
% [373]
% quotient(quotient(quotient(quotient(A,quotient(C,quotient(difference(B,C),C))),
% quotient(difference(quotient(C,quotient(difference(B,C),C)),
% quotient(A,quotient(C,quotient(difference(B,C),C)))),
% quotient(A,quotient(C,quotient(difference(B,C),C))))),B),C)
% -> quotient(quotient(A,B),C) collapsed.
% Rule
% [384]
% t(quotient(A,quotient(difference(B,A),A)),quotient(difference(B,quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(
% difference(A,
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A))
% -> t(quotient(A,quotient(difference(B,A),A)),C) collapsed.
% Rule
% [392]
% quotient(difference(i(quotient(A,B)),quotient(difference(i(B),quotient(
% quotient(A,B),
% quotient(
% difference(B,
% quotient(A,B)),
% quotient(A,B)))),B)),
% quotient(A,B)) -> A collapsed.
% Rule
% [416]
% quotient(quotient(quotient(A,C),quotient(difference(C,quotient(A,C)),
% quotient(A,C))),quotient(difference(B,
% quotient(quotient(A,C),
% quotient(difference(C,
% quotient(A,C)),
% quotient(A,C)))),
% quotient(quotient(A,C),
% quotient(difference(C,
% quotient(A,C)),
% quotient(A,C))))) ->
% quotient(A,quotient(difference(B,A),A)) collapsed.
% Rule
% [437]
% quotient(quotient(A,quotient(difference(quotient(difference(i(B),quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B),
% quotient(
% difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)))),B),A),A)),V_3)
% <->
% difference(V_3,quotient(quotient(V_3,quotient(difference(A,V_3),V_3)),
% quotient(difference(quotient(B,quotient(difference(C,B),B)),
% quotient(V_3,quotient(difference(A,V_3),V_3))),
% quotient(V_3,quotient(difference(A,V_3),V_3))))) collapsed.
% Rule
% [438]
% quotient(quotient(difference(i(A),quotient(quotient(quotient(B,quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(V_3,C),C))),
% quotient(C,
% quotient(
% difference(V_3,C),C)))),B),B)),A),
% quotient(difference(A,quotient(quotient(B,
% quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(V_3,C),C))),
% quotient(C,
% quotient(
% difference(V_3,C),C)))),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(V_3,C),C))),
% quotient(C,
% quotient(
% difference(V_3,C),C)))),B),B)),A)))),A),V_3)
% <->
% difference(V_3,quotient(quotient(V_3,quotient(difference(quotient(A,quotient(
% difference(B,A),A)),V_3),V_3)),
% quotient(difference(C,quotient(V_3,quotient(difference(
% quotient(A,
% quotient(difference(B,A),A)),V_3),V_3))),
% quotient(V_3,quotient(difference(quotient(A,quotient(difference(B,A),A)),V_3),V_3)))))
% collapsed.
% Rule
% [442]
% quotient(quotient(difference(i(A),quotient(quotient(quotient(B,quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C))),
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C)))),B),B)),A),
% quotient(difference(A,quotient(quotient(B,
% quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C))),
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C)))),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C))),
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C)))),B),B)),A)))),A),
% eta(V_3)) <->
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(C,
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% collapsed.
% Rule
% [443]
% quotient(quotient(A,quotient(difference(quotient(difference(i(B),quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% eta(V_3),
% i(B)),C),C)),B),
% quotient(
% difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% eta(V_3),
% i(B)),C),C)),B)),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% eta(V_3),
% i(B)),C),C)),B)))),B),A),A)),
% eta(V_3)) <->
% quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A))
% collapsed.
% Rule
% [450]
% quotient(difference(A,quotient(difference(i(B),quotient(quotient(quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B),
% quotient(difference(B,
% quotient(quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)),
% quotient(quotient(C,quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)))),B)),V_3)
% <->
% quotient(difference(A,quotient(quotient(B,quotient(difference(C,B),B)),
% quotient(difference(V_3,quotient(B,quotient(difference(C,B),B))),
% quotient(B,quotient(difference(C,B),B))))),V_3)
% collapsed.
% Rule
% [452]
% quotient(difference(B,quotient(difference(i(B),quotient(quotient(quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B),
% quotient(difference(B,
% quotient(quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B)),
% quotient(quotient(C,quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B)))),B)),A)
% ->
% quotient(quotient(quotient(C,quotient(difference(quotient(A,quotient(
% difference(B,A),A)),C),C)),B),A)
% collapsed.
% Rule
% [464]
% quotient(difference(t(B,C),quotient(difference(i(B),quotient(quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B),
% quotient(difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B)),
% quotient(quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B)))),B)),A)
% ->
% quotient(difference(t(B,C),quotient(quotient(t(B,C),quotient(difference(B,
% t(B,C)),
% t(B,C))),quotient(
% difference(A,
% quotient(
% t(B,C),quotient(
% difference(B,
% t(B,C)),
% t(B,C)))),
% quotient(
% t(B,C),quotient(
% difference(B,
% t(B,C)),
% t(B,C)))))),A)
% collapsed.
% Rule
% [470]
% quotient(difference(i(A),quotient(quotient(quotient(quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A))),A),
% quotient(difference(A,quotient(quotient(quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A))),A)),
% quotient(quotient(quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(quotient(V_3,quotient(
% difference(A,V_3),V_3)),
% quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A))),A)))),A)
% <->
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A)))),
% quotient(difference(V_3,quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(C,quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))))
% collapsed.
% Rule
% [471]
% quotient(difference(i(A),quotient(quotient(quotient(difference(i(B),quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B),
% quotient(
% difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B)),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B)))),B),A),
% quotient(difference(A,quotient(quotient(difference(
% i(B),
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B),
% quotient(
% difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B)),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B)))),B),A)),
% quotient(quotient(difference(i(B),quotient(quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B),
% quotient(difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B)),
% quotient(quotient(C,
% quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C)),B)))),B),A)))),A)
% <->
% quotient(quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A)),
% quotient(difference(V_3,quotient(A,quotient(difference(quotient(B,quotient(
% difference(C,B),B)),A),A))),
% quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A))))
% collapsed.
% Rule
% [472]
% quotient(difference(i(A),quotient(quotient(quotient(B,quotient(difference(
% quotient(
% difference(
% i(C),quotient(
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C),
% quotient(
% difference(C,
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C)),
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C)))),C),B),B)),A),
% quotient(difference(A,quotient(quotient(B,quotient(
% difference(
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C),
% quotient(
% difference(C,
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C)),
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C)))),C),B),B)),A)),
% quotient(quotient(B,quotient(difference(quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C),
% quotient(
% difference(C,
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C)),
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3)),C)))),C),B),B)),A)))),A)
% <->
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% quotient(C,
% quotient(difference(V_3,C),C)),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% collapsed.
% Rule
% [514]
% quotient(difference(i(A),quotient(quotient(quotient(B,quotient(difference(
% quotient(
% eta(C),
% i(quotient(C,
% quotient(
% difference(A,C),C)))),B),B)),A),
% quotient(difference(A,quotient(quotient(B,quotient(
% difference(
% quotient(
% eta(C),
% i(
% quotient(C,
% quotient(
% difference(A,C),C)))),B),B)),A)),
% quotient(quotient(B,quotient(difference(quotient(
% eta(C),
% i(quotient(C,
% quotient(
% difference(A,C),C)))),B),B)),A)))),A)
% <->
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% i(i(C)),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% collapsed.
% Rule
% [526]
% quotient(difference(i(A),quotient(quotient(quotient(quotient(eta(B),i(C)),
% quotient(difference(quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),C),C)),A),
% quotient(difference(A,quotient(quotient(quotient(
% eta(B),
% i(C)),
% quotient(difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),C),C)),A)),
% quotient(quotient(quotient(eta(B),i(C)),quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),C),C)),A)))),A)
% <->
% quotient(quotient(A,quotient(difference(quotient(eta(B),i(C)),A),A)),
% quotient(difference(V_3,quotient(A,quotient(difference(quotient(eta(B),i(C)),A),A))),
% quotient(A,quotient(difference(quotient(eta(B),i(C)),A),A)))) collapsed.
% Rule
% [527]
% quotient(difference(i(A),quotient(quotient(quotient(B,quotient(difference(
% quotient(
% quotient(
% eta(C),
% i(V_3)),
% quotient(
% difference(A,V_3),V_3)),B),B)),A),
% quotient(difference(A,quotient(quotient(B,quotient(
% difference(
% quotient(
% quotient(
% eta(C),
% i(V_3)),
% quotient(
% difference(A,V_3),V_3)),B),B)),A)),
% quotient(quotient(B,quotient(difference(quotient(
% quotient(
% eta(C),
% i(V_3)),
% quotient(
% difference(A,V_3),V_3)),B),B)),A)))),A)
% <->
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% quotient(eta(C),
% i(V_3)),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% collapsed.
% Rule
% [534]
% difference(quotient(A,quotient(difference(B,A),A)),quotient(quotient(
% difference(
% i(A),quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(
% difference(A,
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A),
% quotient(difference(V_3,
% quotient(
% difference(
% i(A),quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(
% difference(A,
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A)),
% quotient(difference(
% i(A),quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(
% difference(A,
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A))))
% <->
% quotient(quotient(C,quotient(difference(quotient(V_3,quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),V_3),V_3)),C),C)),
% quotient(A,quotient(difference(B,A),A))) collapsed.
% Rule
% [536]
% quotient(quotient(quotient(difference(i(A),quotient(quotient(quotient(B,
% quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(V_3,C),C))),
% quotient(C,
% quotient(
% difference(V_3,C),C)))),B),B)),A),
% quotient(difference(A,quotient(
% quotient(B,
% quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(V_3,C),C))),
% quotient(C,
% quotient(
% difference(V_3,C),C)))),B),B)),A)),
% quotient(quotient(B,quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(V_3,C),C))),
% quotient(C,
% quotient(
% difference(V_3,C),C)))),B),B)),A)))),A),V_3),C)
% <->
% quotient(quotient(quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),V_3),C)
% collapsed.
% Rule
% [537]
% quotient(quotient(difference(i(A),quotient(quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(A,quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A),
% quotient(difference(V_3,quotient(difference(i(A),quotient(quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(A,
% quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,
% quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A)),
% quotient(difference(i(A),quotient(quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(A,quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A)))
% <->
% quotient(difference(i(quotient(A,quotient(difference(B,A),A))),quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),V_3),V_3)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),V_3),V_3)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),V_3),V_3)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A)))))),
% quotient(A,quotient(difference(B,A),A))) collapsed.
% Rule
% [538]
% quotient(difference(i(quotient(A,quotient(difference(B,A),A))),quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),V_3),V_3)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),V_3),V_3)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),V_3),V_3)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A)))))),
% quotient(A,quotient(difference(B,A),A))) <->
% quotient(quotient(difference(i(A),quotient(quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(A,quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A),
% quotient(difference(V_3,quotient(difference(i(A),quotient(quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(A,
% quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,
% quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A)),
% quotient(difference(i(A),quotient(quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(A,quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A)))
% collapsed.
% Rule
% [542]
% difference(quotient(difference(i(A),quotient(quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(A,quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(V_3,
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% <->
% quotient(difference(C,quotient(V_3,quotient(difference(quotient(A,quotient(
% difference(B,A),A)),V_3),V_3))),
% quotient(A,quotient(difference(B,A),A))) collapsed.
% Rule
% [543]
% difference(quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(difference(i(A),quotient(quotient(quotient(B,quotient(difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),B),B)),A),
% quotient(difference(A,quotient(quotient(B,quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),B),B)),A)),
% quotient(quotient(B,quotient(difference(quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),B),B)),A)))),A))
% ->
% quotient(difference(C,quotient(V_3,quotient(difference(quotient(A,quotient(
% difference(B,A),A)),V_3),V_3))),
% quotient(A,quotient(difference(B,A),A))) collapsed.
% Rule
% [552]
% quotient(quotient(difference(i(A),quotient(quotient(quotient(B,quotient(
% difference(
% quotient(
% eta(C),
% i(quotient(C,
% quotient(
% difference(A,C),C)))),B),B)),A),
% quotient(difference(A,quotient(quotient(B,
% quotient(
% difference(
% quotient(
% eta(C),
% i(quotient(C,
% quotient(
% difference(A,C),C)))),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(
% eta(C),
% i(quotient(C,
% quotient(
% difference(A,C),C)))),B),B)),A)))),A),C)
% <->
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% eta(C),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% collapsed.
% Rule
% [554]
% quotient(difference(B,quotient(difference(i(quotient(B,quotient(difference(C,B),B))),
% quotient(quotient(A,quotient(B,quotient(
% difference(C,B),B))),
% quotient(difference(quotient(B,quotient(
% difference(C,B),B)),
% quotient(A,quotient(B,quotient(
% difference(C,B),B)))),
% quotient(A,quotient(B,quotient(difference(C,B),B)))))),
% quotient(B,quotient(difference(C,B),B)))),quotient(A,
% quotient(B,
% quotient(
% difference(C,B),B))))
% ->
% quotient(quotient(quotient(quotient(difference(quotient(difference(C,B),B),
% quotient(A,quotient(B,quotient(difference(C,B),B)))),
% quotient(difference(B,difference(quotient(
% difference(C,B),B),
% quotient(A,quotient(B,
% quotient(
% difference(C,B),B))))),
% difference(quotient(difference(C,B),B),quotient(A,
% quotient(B,
% quotient(
% difference(C,B),B)))))),
% quotient(difference(C,B),B)),quotient(B,quotient(difference(C,B),B))),
% quotient(A,quotient(B,quotient(difference(C,B),B)))) collapsed.
% Rule
% [561]
% quotient(quotient(difference(i(A),quotient(quotient(difference(i(B),quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B),
% quotient(
% difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B)),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B)))),B),
% quotient(difference(A,quotient(difference(
% i(B),
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B),
% quotient(
% difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B)),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B)))),B)),
% quotient(difference(i(B),quotient(quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B),
% quotient(difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B)),
% quotient(quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C)),B)))),B)))),A),
% i(A)) <->
% difference(i(A),quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B)))
% collapsed.
% Rule
% [562]
% quotient(difference(B,quotient(difference(i(quotient(B,j(B))),quotient(
% quotient(A,
% quotient(B,
% j(B))),
% quotient(
% difference(
% quotient(B,
% j(B)),quotient(A,
% quotient(B,
% j(B)))),
% quotient(A,
% quotient(B,
% j(B)))))),
% quotient(B,j(B)))),quotient(A,quotient(B,j(B)))) ->
% quotient(quotient(quotient(quotient(difference(j(B),quotient(A,quotient(B,
% j(B)))),
% quotient(difference(B,difference(j(B),quotient(A,
% quotient(B,
% j(B))))),
% difference(j(B),quotient(A,quotient(B,j(B)))))),
% j(B)),quotient(B,j(B))),quotient(A,quotient(B,j(B))))
% collapsed.
% Rule
% [576]
% quotient(difference(i(A),quotient(quotient(quotient(difference(i(B),quotient(
% quotient(
% eta(B),
% i(
% quotient(C,
% quotient(
% difference(A,C),C)))),
% quotient(
% difference(B,
% quotient(C,
% quotient(
% difference(A,C),C))),
% quotient(C,
% quotient(
% difference(A,C),C))))),B),A),
% quotient(difference(A,quotient(quotient(difference(
% i(B),
% quotient(
% quotient(
% eta(B),
% i(quotient(C,
% quotient(
% difference(A,C),C)))),
% quotient(
% difference(B,
% quotient(C,
% quotient(
% difference(A,C),C))),
% quotient(C,
% quotient(
% difference(A,C),C))))),B),A)),
% quotient(quotient(difference(i(B),quotient(quotient(
% eta(B),
% i(
% quotient(C,
% quotient(
% difference(A,C),C)))),
% quotient(difference(B,
% quotient(C,
% quotient(
% difference(A,C),C))),
% quotient(C,
% quotient(difference(A,C),C))))),B),A)))),A)
% <->
% quotient(quotient(A,quotient(difference(j(j(B)),A),A)),quotient(difference(C,
% quotient(A,
% quotient(
% difference(
% j(j(B)),A),A))),
% quotient(A,quotient(
% difference(
% j(j(B)),A),A))))
% collapsed.
% Rule
% [578]
% quotient(quotient(difference(i(A),quotient(quotient(quotient(difference(
% i(B),quotient(
% quotient(
% quotient(
% eta(
% quotient(A,
% quotient(
% difference(B,A),A))),
% i(C)),
% quotient(
% difference(A,C),C)),
% quotient(
% difference(B,
% quotient(
% quotient(
% eta(
% quotient(A,
% quotient(
% difference(B,A),A))),
% i(C)),
% quotient(
% difference(A,C),C))),
% quotient(
% quotient(
% eta(
% quotient(A,
% quotient(
% difference(B,A),A))),
% i(C)),
% quotient(
% difference(A,C),C))))),B),A),
% quotient(difference(A,quotient(quotient(
% difference(
% i(B),
% quotient(
% quotient(
% quotient(
% eta(
% quotient(A,
% quotient(
% difference(B,A),A))),
% i(C)),
% quotient(
% difference(A,C),C)),
% quotient(
% difference(B,
% quotient(
% quotient(
% eta(
% quotient(A,
% quotient(
% difference(B,A),A))),
% i(C)),
% quotient(
% difference(A,C),C))),
% quotient(
% quotient(
% eta(
% quotient(A,
% quotient(
% difference(B,A),A))),
% i(C)),
% quotient(
% difference(A,C),C))))),B),A)),
% quotient(quotient(difference(i(B),quotient(
% quotient(
% quotient(
% eta(
% quotient(A,
% quotient(
% difference(B,A),A))),
% i(C)),
% quotient(
% difference(A,C),C)),
% quotient(
% difference(B,
% quotient(
% quotient(
% eta(
% quotient(A,
% quotient(
% difference(B,A),A))),
% i(C)),
% quotient(
% difference(A,C),C))),
% quotient(
% quotient(
% eta(
% quotient(A,
% quotient(
% difference(B,A),A))),
% i(C)),
% quotient(
% difference(A,C),C))))),B),A)))),A),C)
% -> j(j(quotient(A,quotient(difference(B,A),A)))) collapsed.
% Rule
% [585]
% quotient(difference(A,quotient(difference(i(B),quotient(quotient(quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B),
% quotient(difference(B,
% quotient(quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)),
% quotient(quotient(C,quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)))),B)),
% quotient(quotient(C,quotient(difference(quotient(V_3,quotient(difference(B,V_3),V_3)),C),C)),B))
% <->
% quotient(difference(A,quotient(quotient(B,quotient(difference(C,B),B)),
% quotient(difference(V_3,quotient(B,quotient(difference(C,B),B))),
% quotient(B,quotient(difference(C,B),B))))),quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B))
% collapsed.
% Rule
% [604]
% quotient(difference(i(t(eta(A),B)),quotient(quotient(quotient(C,quotient(
% difference(
% t(eta(A),
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3))),C),C)),
% t(eta(A),B)),quotient(difference(
% t(eta(A),B),
% quotient(
% quotient(C,
% quotient(
% difference(
% t(eta(A),
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3))),C),C)),
% t(eta(A),B))),
% quotient(quotient(C,
% quotient(
% difference(
% t(eta(A),
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3))),C),C)),
% t(eta(A),B))))),
% t(eta(A),B)) <->
% quotient(quotient(t(eta(A),B),quotient(difference(C,t(eta(A),B)),t(eta(A),B))),
% quotient(difference(t(eta(A),V_3),quotient(t(eta(A),B),quotient(difference(C,
% t(eta(A),B)),
% t(eta(A),B)))),
% quotient(t(eta(A),B),quotient(difference(C,t(eta(A),B)),t(eta(A),B)))))
% collapsed.
% Rule
% [606]
% quotient(quotient(quotient(A,quotient(difference(quotient(difference(
% i(B),quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B),
% quotient(
% difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)))),B),A),A)),V_3),
% quotient(B,quotient(difference(C,B),B))) <->
% quotient(quotient(quotient(A,quotient(difference(quotient(quotient(B,
% quotient(difference(C,B),B)),
% quotient(difference(V_3,
% quotient(B,
% quotient(difference(C,B),B))),
% quotient(B,quotient(
% difference(C,B),B)))),A),A)),V_3),
% quotient(B,quotient(difference(C,B),B))) collapsed.
% Rule
% [608]
% difference(quotient(difference(i(A),quotient(quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(A,quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% quotient(C,
% quotient(difference(V_3,C),C)),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% <->
% quotient(quotient(quotient(V_3,quotient(difference(quotient(quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))),V_3),V_3)),C),
% quotient(A,quotient(difference(B,A),A))) collapsed.
% Rule
% [630]
% quotient(difference(i(t(eta(A),B)),quotient(quotient(quotient(t(eta(A),C),
% quotient(difference(
% quotient(V_3,
% quotient(
% difference(
% t(eta(A),B),V_3),V_3)),
% t(eta(A),C)),
% t(eta(A),C))),t(
% eta(A),B)),
% quotient(difference(t(eta(A),B),quotient(
% quotient(
% t(
% eta(A),C),
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(
% t(
% eta(A),B),V_3),V_3)),
% t(
% eta(A),C)),
% t(
% eta(A),C))),
% t(
% eta(A),B))),
% quotient(quotient(t(eta(A),C),quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(
% t(eta(A),B),V_3),V_3)),
% t(eta(A),C)),
% t(eta(A),C))),
% t(eta(A),B))))),t(eta(A),B)) <->
% quotient(t(eta(A),quotient(B,quotient(difference(C,B),B))),quotient(difference(V_3,
% t(
% eta(A),
% quotient(B,
% quotient(
% difference(C,B),B)))),
% t(eta(A),quotient(B,
% quotient(
% difference(C,B),B)))))
% collapsed.
% Rule
% [640]
% difference(quotient(A,quotient(difference(B,A),A)),quotient(quotient(
% difference(
% i(A),quotient(
% quotient(
% quotient(
% difference(
% i(quotient(B,
% quotient(
% difference(A,B),B))),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)))),
% quotient(B,
% quotient(
% difference(A,B),B))),A),
% quotient(
% difference(A,
% quotient(
% quotient(
% difference(
% i(quotient(B,
% quotient(
% difference(A,B),B))),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)))),
% quotient(B,
% quotient(
% difference(A,B),B))),A)),
% quotient(
% quotient(
% difference(
% i(quotient(B,
% quotient(
% difference(A,B),B))),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)))),
% quotient(B,
% quotient(
% difference(A,B),B))),A)))),A),
% quotient(difference(C,
% quotient(
% difference(
% i(A),quotient(
% quotient(
% quotient(
% difference(
% i(quotient(B,
% quotient(
% difference(A,B),B))),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)))),
% quotient(B,
% quotient(
% difference(A,B),B))),A),
% quotient(
% difference(A,
% quotient(
% quotient(
% difference(
% i(quotient(B,
% quotient(
% difference(A,B),B))),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)))),
% quotient(B,
% quotient(
% difference(A,B),B))),A)),
% quotient(
% quotient(
% difference(
% i(quotient(B,
% quotient(
% difference(A,B),B))),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)))),
% quotient(B,
% quotient(
% difference(A,B),B))),A)))),A)),
% quotient(difference(
% i(A),quotient(
% quotient(
% quotient(
% difference(
% i(quotient(B,
% quotient(
% difference(A,B),B))),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)))),
% quotient(B,
% quotient(
% difference(A,B),B))),A),
% quotient(
% difference(A,
% quotient(
% quotient(
% difference(
% i(quotient(B,
% quotient(
% difference(A,B),B))),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)))),
% quotient(B,
% quotient(
% difference(A,B),B))),A)),
% quotient(
% quotient(
% difference(
% i(quotient(B,
% quotient(
% difference(A,B),B))),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),B)))),
% quotient(B,
% quotient(
% difference(A,B),B))),A)))),A))))
% ->
% t(quotient(A,quotient(difference(B,A),A)),quotient(C,quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)))
% collapsed.
% Rule
% [648]
% quotient(quotient(difference(i(A),quotient(quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(A,quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A),C)
% <-> quotient(A,quotient(difference(B,A),A)) collapsed.
% Rule
% [657]
% quotient(quotient(difference(i(A),quotient(quotient(quotient(difference(
% i(B),quotient(
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C),
% quotient(
% difference(B,
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C)),
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C)))),B),A),
% quotient(difference(A,quotient(quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C),
% quotient(
% difference(B,
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C)),
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(quotient(A,
% quotient(
% difference(B,A),A)))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C)))),B),A)),
% quotient(quotient(difference(i(B),quotient(
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% i(
% quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% i(
% quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% i(
% quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C),
% quotient(
% difference(B,
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% i(
% quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% i(
% quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% i(
% quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C)),
% quotient(
% difference(
% i(C),
% quotient(
% quotient(
% quotient(
% i(
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% i(
% quotient(A,
% quotient(
% difference(B,A),A))))),C),
% quotient(
% difference(C,
% quotient(
% quotient(
% i(
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% i(
% quotient(A,
% quotient(
% difference(B,A),A))))),C)),
% quotient(
% quotient(
% i(
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% i(
% quotient(A,
% quotient(
% difference(B,A),A))))),C)))),C)))),B),A)))),A),
% i(quotient(A,quotient(difference(B,A),A)))) <->
% difference(i(quotient(A,quotient(difference(B,A),A))),quotient(eta(quotient(A,
% quotient(
% difference(B,A),A))),
% i(C))) collapsed.
% Rule
% [662]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,
% quotient(
% difference(
% i(quotient(
% difference(B,A),A)),
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(
% quotient(
% difference(B,A),A),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(V_3,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,
% quotient(
% difference(
% i(quotient(
% difference(B,A),A)),
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(
% quotient(
% difference(B,A),A),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,
% quotient(difference(
% i(quotient(
% difference(B,A),A)),
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(
% quotient(
% difference(B,A),A),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))),A)))))
% <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(
% difference(V_3,
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A))),A),A),A)))
% collapsed.
% Rule
% [663]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(V_3,
% quotient(
% difference(
% i(
% quotient(
% difference(C,A),A)),
% quotient(
% quotient(A,
% quotient(
% difference(C,A),A)),
% quotient(
% difference(
% quotient(
% difference(C,A),A),
% quotient(A,
% quotient(
% difference(C,A),A))),
% quotient(A,
% quotient(
% difference(C,A),A))))),
% quotient(
% difference(C,A),A))),
% quotient(A,
% quotient(
% difference(C,A),A))),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(quotient(quotient(quotient(quotient(quotient(C,quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),C),C)),A),
% quotient(difference(quotient(A,j(A)),
% quotient(quotient(C,quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),C),C)),A)),
% quotient(quotient(C,quotient(difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),C),C)),A))),A),A),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% collapsed.
% Rule
% [667]
% quotient(quotient(quotient(A,quotient(difference(quotient(difference(
% i(B),quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B),
% quotient(
% difference(B,
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B)))),B),A),A)),
% quotient(quotient(C,quotient(difference(quotient(V_3,quotient(
% difference(B,V_3),V_3)),C),C)),B)),B)
% <->
% quotient(quotient(quotient(A,quotient(difference(quotient(quotient(B,
% quotient(difference(C,B),B)),
% quotient(difference(V_3,
% quotient(B,
% quotient(difference(C,B),B))),
% quotient(B,quotient(
% difference(C,B),B)))),A),A)),
% quotient(quotient(C,quotient(difference(quotient(V_3,quotient(
% difference(B,V_3),V_3)),C),C)),B)),B)
% collapsed.
% Rule
% [668]
% quotient(quotient(quotient(V_3,quotient(difference(quotient(difference(
% i(A),quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(
% difference(A,
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A),V_3),V_3)),
% quotient(quotient(B,quotient(difference(quotient(C,quotient(
% difference(A,C),C)),B),B)),A)),A)
% <->
% difference(quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(difference(i(A),quotient(quotient(quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(V_3,quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A))),
% quotient(difference(A,quotient(quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(V_3,
% quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),
% quotient(quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(V_3,quotient(quotient(B,
% quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))))),A))
% collapsed.
% Rule
% [674]
% quotient(difference(i(A),quotient(quotient(quotient(eta(B),i(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)))),A),
% quotient(difference(A,quotient(quotient(eta(B),
% i(quotient(B,
% quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)))),A)),
% quotient(quotient(eta(B),i(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)))),A)))),A)
% <->
% quotient(quotient(A,quotient(difference(i(i(B)),A),A)),quotient(difference(C,
% quotient(A,
% quotient(
% difference(
% i(i(B)),A),A))),
% quotient(A,quotient(
% difference(
% i(i(B)),A),A))))
% collapsed.
% Current number of equations to process: 144
% Current number of ordered equations: 53
% Current number of rules: 386
% New rule produced :
% [679]
% quotient(difference(i(quotient(A,B)),quotient(difference(i(B),A),B)),
% quotient(A,B)) -> A
% Current number of equations to process: 142
% Current number of ordered equations: 54
% Current number of rules: 387
% New rule produced :
% [680]
% quotient(difference(B,quotient(difference(i(B),quotient(C,quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C))),B)),A)
% ->
% quotient(quotient(quotient(C,quotient(difference(quotient(A,quotient(
% difference(B,A),A)),C),C)),B),A)
% Current number of equations to process: 142
% Current number of ordered equations: 53
% Current number of rules: 388
% New rule produced :
% [681]
% quotient(difference(j(eta(A)),difference(eta(A),A)),quotient(difference(
% eta(eta(A)),
% difference(
% j(eta(A)),
% difference(
% eta(A),A))),
% difference(j(eta(A)),
% difference(eta(A),A))))
% -> A
% Current number of equations to process: 140
% Current number of ordered equations: 53
% Current number of rules: 389
% New rule produced :
% [682]
% quotient(quotient(quotient(eta(A),i(quotient(A,quotient(difference(quotient(B,
% quotient(
% difference(C,B),B)),A),A)))),C),B)
% ->
% quotient(quotient(quotient(eta(A),quotient(quotient(i(quotient(B,quotient(
% difference(C,B),B))),A),
% eta(A))),C),B)
% Current number of equations to process: 139
% Current number of ordered equations: 53
% Current number of rules: 390
% New rule produced :
% [683]
% quotient(quotient(quotient(quotient(eta(A),i(B)),quotient(difference(
% eta(C),B),B)),
% difference(quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(eta(C),quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))),quotient(B,
% quotient(
% difference(
% eta(C),B),B)))),
% eta(C)) -> quotient(eta(A),i(quotient(A,quotient(difference(B,A),A))))
% Current number of equations to process: 138
% Current number of ordered equations: 53
% Current number of rules: 391
% New rule produced :
% [684]
% quotient(i(i(A)),difference(quotient(j(j(A)),quotient(eta(A),j(j(A)))),A)) ->
% quotient(A,j(A))
% Current number of equations to process: 137
% Current number of ordered equations: 53
% Current number of rules: 392
% New rule produced :
% [685]
% quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A))
% <->
% quotient(quotient(A,quotient(difference(quotient(quotient(quotient(difference(
% i(B),C),
% quotient(difference(
% eta(V_3),
% difference(
% i(B),C)),
% difference(
% i(B),C))),i(B)),B),A),A)),
% eta(V_3))
% Current number of equations to process: 136
% Current number of ordered equations: 54
% Current number of rules: 393
% New rule produced :
% [686]
% quotient(quotient(A,quotient(difference(quotient(quotient(quotient(difference(
% i(B),C),
% quotient(difference(
% eta(V_3),
% difference(
% i(B),C)),
% difference(
% i(B),C))),i(B)),B),A),A)),
% eta(V_3)) <->
% quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A))
% Current number of equations to process: 136
% Current number of ordered equations: 53
% Current number of rules: 394
% New rule produced :
% [687]
% quotient(quotient(quotient(difference(i(A),quotient(quotient(eta(B),i(
% quotient(B,
% quotient(
% difference(
% i(A),B),B)))),
% quotient(difference(quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(B,quotient(
% difference(
% i(A),B),B))),
% quotient(B,quotient(difference(
% i(A),B),B))))),A),x1),
% i(A)) -> difference(i(A),quotient(eta(A),i(i(i(B)))))
% Current number of equations to process: 135
% Current number of ordered equations: 53
% Current number of rules: 395
% New rule produced :
% [688]
% quotient(quotient(quotient(A,B),quotient(difference(quotient(C,quotient(
% difference(A,C),C)),
% quotient(A,B)),quotient(A,B))),A) ->
% difference(A,quotient(quotient(A,quotient(B,A)),quotient(difference(C,
% quotient(A,quotient(B,A))),
% quotient(A,quotient(B,A)))))
% Current number of equations to process: 133
% Current number of ordered equations: 52
% Current number of rules: 396
% New rule produced : [689] quotient(eta(eta(A)),i(i(i(A)))) -> i(i(A))
% Current number of equations to process: 132
% Current number of ordered equations: 52
% Current number of rules: 397
% New rule produced :
% [690]
% quotient(difference(quotient(i(A),A),quotient(i(A),quotient(difference(
% eta(A),i(A)),
% i(A)))),quotient(difference(
% difference(
% quotient(
% i(A),A),
% quotient(
% i(A),
% quotient(
% quotient(
% difference(B,
% i(A)),
% i(A)),
% i(A)))),
% difference(
% quotient(
% i(A),A),
% quotient(
% i(A),
% quotient(
% difference(
% eta(A),
% i(A)),
% i(A))))),
% difference(
% quotient(i(A),A),
% quotient(i(A),
% quotient(difference(
% eta(A),
% i(A)),
% i(A)))))) ->
% difference(quotient(i(A),A),quotient(i(A),quotient(quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% i(A)),i(A)),
% i(A))))
% Current number of equations to process: 132
% Current number of ordered equations: 51
% Current number of rules: 398
% New rule produced :
% [691]
% quotient(difference(quotient(i(A),A),quotient(i(A),quotient(quotient(
% difference(B,
% i(A)),i(A)),
% i(A)))),quotient(difference(
% difference(
% quotient(
% i(A),A),
% quotient(
% i(A),
% quotient(
% difference(
% eta(A),
% i(A)),
% i(A)))),
% difference(
% quotient(
% i(A),A),
% quotient(
% i(A),
% quotient(
% quotient(
% difference(B,
% i(A)),
% i(A)),
% i(A))))),
% difference(
% quotient(i(A),A),
% quotient(i(A),
% quotient(quotient(
% difference(B,
% i(A)),
% i(A)),
% i(A)))))) <->
% difference(quotient(i(A),A),quotient(i(A),quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% i(A)),i(A)),
% i(A))))
% Current number of equations to process: 132
% Current number of ordered equations: 50
% Current number of rules: 399
% New rule produced :
% [692]
% difference(quotient(i(A),A),quotient(i(A),quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% i(A)),i(A)),
% i(A)))) <->
% quotient(difference(quotient(i(A),A),quotient(i(A),quotient(quotient(
% difference(B,
% i(A)),i(A)),
% i(A)))),quotient(difference(
% difference(
% quotient(
% i(A),A),
% quotient(
% i(A),
% quotient(
% difference(
% eta(A),
% i(A)),
% i(A)))),
% difference(
% quotient(
% i(A),A),
% quotient(
% i(A),
% quotient(
% quotient(
% difference(B,
% i(A)),
% i(A)),
% i(A))))),
% difference(
% quotient(i(A),A),
% quotient(i(A),
% quotient(quotient(
% difference(B,
% i(A)),
% i(A)),
% i(A))))))
% Current number of equations to process: 132
% Current number of ordered equations: 49
% Current number of rules: 400
% New rule produced :
% [693]
% quotient(difference(i(A),quotient(t(A,quotient(B,quotient(difference(A,B),B))),
% quotient(difference(A,t(A,quotient(B,quotient(
% difference(A,B),B)))),
% t(A,quotient(B,quotient(difference(A,B),B)))))),A)
% <->
% quotient(quotient(A,j(A)),quotient(difference(B,quotient(A,j(A))),quotient(A,
% j(A))))
% Current number of equations to process: 131
% Current number of ordered equations: 50
% Current number of rules: 401
% New rule produced :
% [694]
% quotient(quotient(A,j(A)),quotient(difference(B,quotient(A,j(A))),quotient(A,
% j(A)))) <->
% quotient(difference(i(A),quotient(t(A,quotient(B,quotient(difference(A,B),B))),
% quotient(difference(A,t(A,quotient(B,quotient(
% difference(A,B),B)))),
% t(A,quotient(B,quotient(difference(A,B),B)))))),A)
% Current number of equations to process: 131
% Current number of ordered equations: 49
% Current number of rules: 402
% New rule produced :
% [695]
% t(A,t(A,quotient(B,quotient(difference(A,B),B)))) <->
% quotient(quotient(quotient(A,j(A)),quotient(difference(B,quotient(A,j(A))),
% quotient(A,j(A)))),A)
% Current number of equations to process: 131
% Current number of ordered equations: 48
% Current number of rules: 403
% New rule produced :
% [696]
% quotient(quotient(quotient(A,j(A)),quotient(difference(B,quotient(A,j(A))),
% quotient(A,j(A)))),A) <->
% t(A,t(A,quotient(B,quotient(difference(A,B),B))))
% Current number of equations to process: 131
% Current number of ordered equations: 47
% Current number of rules: 404
% New rule produced :
% [697]
% difference(quotient(eta(B),j(eta(B))),quotient(difference(i(i(B)),quotient(
% quotient(
% j(j(B)),
% quotient(
% difference(A,
% j(j(B))),
% j(j(B)))),
% quotient(
% difference(
% i(B),
% quotient(
% j(j(B)),
% quotient(
% difference(A,
% j(j(B))),
% j(j(B))))),
% quotient(
% j(j(B)),
% quotient(
% difference(A,
% j(j(B))),
% j(j(B))))))),
% i(B))) ->
% quotient(quotient(quotient(A,quotient(difference(quotient(eta(B),j(eta(B))),A),A)),
% j(j(B))),i(B))
% Current number of equations to process: 130
% Current number of ordered equations: 47
% Current number of rules: 405
% New rule produced :
% [698]
% quotient(difference(i(difference(A,eta(quotient(A,quotient(difference(B,A),A))))),
% eta(quotient(A,quotient(difference(B,A),A)))),difference(A,eta(
% quotient(A,
% quotient(
% difference(B,A),A)))))
% ->
% quotient(difference(i(B),quotient(quotient(difference(quotient(A,quotient(
% difference(B,A),A)),
% quotient(difference(i(A),quotient(
% j(
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(A,
% j(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% j(
% quotient(A,
% quotient(
% difference(B,A),A)))))),A)),
% j(quotient(A,quotient(difference(B,A),A)))),
% quotient(difference(B,quotient(difference(quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(difference(
% i(A),
% quotient(
% j(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(A,
% j(quotient(A,
% quotient(
% difference(B,A),A)))),
% j(quotient(A,
% quotient(
% difference(B,A),A)))))),A)),
% j(quotient(A,quotient(
% difference(B,A),A))))),
% quotient(difference(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(i(A),quotient(j(
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(difference(A,
% j(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% j(quotient(A,
% quotient(
% difference(B,A),A)))))),A)),
% j(quotient(A,quotient(difference(B,A),A))))))),B)
% Current number of equations to process: 129
% Current number of ordered equations: 47
% Current number of rules: 406
% New rule produced :
% [699]
% quotient(difference(i(i(B)),quotient(quotient(quotient(i(i(B)),difference(
% i(i(B)),B)),
% difference(quotient(j(j(B)),quotient(
% eta(B),
% j(j(B)))),
% i(i(B)))),quotient(difference(A,
% quotient(quotient(
% i(i(B)),
% difference(
% i(i(B)),B)),
% difference(quotient(
% j(
% j(B)),
% quotient(
% eta(B),
% j(
% j(B)))),
% i(i(B))))),quotient(
% quotient(
% i(
% i(B)),
% difference(
% i(
% i(B)),B)),
% difference(
% quotient(
% j(
% j(B)),
% quotient(
% eta(B),
% j(
% j(B)))),
% i(
% i(B))))))),A)
% -> quotient(t(i(i(B)),quotient(A,quotient(difference(i(i(B)),A),A))),A)
% Current number of equations to process: 128
% Current number of ordered equations: 47
% Current number of rules: 407
% New rule produced :
% [700]
% difference(quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(difference(i(A),quotient(quotient(quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% j(quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A))),
% quotient(difference(A,quotient(quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% j(quotient(quotient(B,
% quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),
% quotient(quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% j(quotient(quotient(B,quotient(difference(quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))))),A))
% ->
% quotient(t(quotient(quotient(B,quotient(difference(quotient(C,quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(i(A),quotient(B,quotient(difference(quotient(C,
% quotient(
% difference(A,C),C)),B),B))),A)),A)
% Current number of equations to process: 127
% Current number of ordered equations: 47
% Current number of rules: 408
% New rule produced :
% [701]
% difference(B,quotient(quotient(B,quotient(difference(A,B),B)),quotient(
% difference(A,
% quotient(B,
% quotient(
% difference(A,B),B))),
% quotient(B,
% quotient(
% difference(A,B),B)))))
% -> quotient(quotient(A,quotient(quotient(difference(B,A),A),A)),B)
% Current number of equations to process: 126
% Current number of ordered equations: 46
% Current number of rules: 409
% New rule produced :
% [702]
% t(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(C,
% quotient(
% difference(B,C),C)),A),A),A))))
% <->
% difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(
% quotient(B,
% j(B)),
% quotient(
% difference(C,
% quotient(B,
% j(B))),
% quotient(B,
% j(B)))),A),A),A))))
% Current number of equations to process: 126
% Current number of ordered equations: 45
% Current number of rules: 410
% New rule produced :
% [703]
% difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(
% quotient(B,
% j(B)),
% quotient(
% difference(C,
% quotient(B,
% j(B))),
% quotient(B,
% j(B)))),A),A),A))))
% <->
% t(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(C,
% quotient(
% difference(B,C),C)),A),A),A))))
% Current number of equations to process: 126
% Current number of ordered equations: 44
% Current number of rules: 411
% New rule produced :
% [704]
% difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% j(B)),A),A),A))),
% quotient(difference(C,difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(
% quotient(B,
% j(B)),A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% j(B)),A),A),A))))))
% ->
% t(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(C,quotient(difference(difference(quotient(A,j(A)),quotient(A,
% quotient(quotient(
% difference(B,A),A),A))),C),C)))
% Current number of equations to process: 126
% Current number of ordered equations: 43
% Current number of rules: 412
% New rule produced :
% [705]
% difference(quotient(A,B),quotient(difference(i(A),quotient(quotient(C,
% quotient(A,B)),
% quotient(difference(A,
% quotient(C,
% quotient(A,B))),
% quotient(C,quotient(A,B))))),A))
% <-> quotient(quotient(B,quotient(difference(C,B),B)),quotient(A,B))
% Current number of equations to process: 125
% Current number of ordered equations: 44
% Current number of rules: 413
% New rule produced :
% [706]
% quotient(quotient(B,quotient(difference(C,B),B)),quotient(A,B)) <->
% difference(quotient(A,B),quotient(difference(i(A),quotient(quotient(C,
% quotient(A,B)),
% quotient(difference(A,
% quotient(C,
% quotient(A,B))),
% quotient(C,quotient(A,B))))),A))
% Current number of equations to process: 125
% Current number of ordered equations: 43
% Current number of rules: 414
% New rule produced :
% [707]
% difference(eta(A),quotient(difference(i(A),quotient(quotient(j(A),j(j(A))),
% quotient(difference(A,quotient(
% j(A),
% j(j(A)))),
% quotient(j(A),j(j(A)))))),A)) ->
% quotient(t(j(A),eta(A)),A)
% Current number of equations to process: 124
% Current number of ordered equations: 43
% Current number of rules: 415
% New rule produced :
% [708]
% quotient(A,t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B))) ->
% t(t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B)),t(t(quotient(A,B),B),
% quotient(A,B)))
% Current number of equations to process: 124
% Current number of ordered equations: 42
% Current number of rules: 416
% New rule produced :
% [709]
% quotient(eta(eta(A)),i(quotient(eta(A),quotient(A,eta(A))))) ->
% quotient(eta(A),quotient(A,eta(A)))
% Current number of equations to process: 123
% Current number of ordered equations: 42
% Current number of rules: 417
% New rule produced :
% [710]
% difference(quotient(A,quotient(B,A)),quotient(A,quotient(quotient(difference(C,
% quotient(
% difference(
% i(B),A),B)),
% quotient(A,B)),A)))
% ->
% quotient(quotient(quotient(C,quotient(difference(quotient(A,quotient(B,A)),C),C)),
% quotient(A,B)),A)
% Current number of equations to process: 122
% Current number of ordered equations: 42
% Current number of rules: 418
% New rule produced :
% [711]
% difference(A,quotient(quotient(A,quotient(difference(B,A),A)),j(quotient(A,
% quotient(
% difference(B,A),A)))))
% <->
% quotient(quotient(difference(i(B),quotient(quotient(quotient(A,quotient(
% difference(B,A),A)),
% quotient(B,quotient(A,quotient(
% difference(B,A),A)))),
% quotient(difference(B,quotient(quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(B,quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(B,quotient(A,quotient(difference(B,A),A))))))),B),A)
% Current number of equations to process: 121
% Current number of ordered equations: 43
% Current number of rules: 419
% New rule produced :
% [712]
% quotient(quotient(difference(i(B),quotient(quotient(quotient(A,quotient(
% difference(B,A),A)),
% quotient(B,quotient(A,quotient(
% difference(B,A),A)))),
% quotient(difference(B,quotient(quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(B,quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(B,quotient(A,quotient(difference(B,A),A))))))),B),A)
% <->
% difference(A,quotient(quotient(A,quotient(difference(B,A),A)),j(quotient(A,
% quotient(
% difference(B,A),A)))))
% Current number of equations to process: 121
% Current number of ordered equations: 42
% Current number of rules: 420
% New rule produced :
% [713]
% quotient(eta(A),i(quotient(difference(i(B),quotient(eta(quotient(eta(A),i(B))),
% i(B))),B))) ->
% j(j(quotient(eta(A),i(B))))
% Current number of equations to process: 120
% Current number of ordered equations: 42
% Current number of rules: 421
% New rule produced :
% [714]
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% quotient(C,A),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% -> quotient(difference(i(A),quotient(B,quotient(difference(C,B),B))),A)
% Current number of equations to process: 119
% Current number of ordered equations: 42
% Current number of rules: 422
% New rule produced :
% [715]
% quotient(quotient(difference(i(A),quotient(quotient(eta(A),i(quotient(
% quotient(B,
% quotient(
% difference(
% quotient(
% eta(A),j(eta(A))),B),B)),
% j(j(A))))),
% quotient(difference(quotient(x1,quotient(
% difference(A,x1),x1)),
% quotient(quotient(B,quotient(
% difference(
% quotient(
% eta(A),
% j(eta(A))),B),B)),
% j(j(A)))),quotient(quotient(B,
% quotient(
% difference(
% quotient(
% eta(A),
% j(eta(A))),B),B)),
% j(j(A)))))),A),x1) ->
% quotient(quotient(difference(i(A),quotient(quotient(quotient(quotient(
% eta(A),i(B)),
% quotient(difference(
% eta(A),B),B)),A),
% quotient(difference(quotient(x1,quotient(
% difference(A,x1),x1)),
% quotient(quotient(quotient(
% eta(A),i(B)),
% quotient(difference(
% eta(A),B),B)),A)),
% quotient(quotient(quotient(eta(A),i(B)),
% quotient(difference(eta(A),B),B)),A)))),A),x1)
% Current number of equations to process: 118
% Current number of ordered equations: 42
% Current number of rules: 423
% New rule produced :
% [716]
% quotient(difference(C,difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))
% <->
% difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% quotient(difference(C,difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(V_3,B),B)),A),A),A))))
% Current number of equations to process: 118
% Current number of ordered equations: 40
% Current number of rules: 424
% New rule produced :
% [717]
% difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% quotient(difference(C,difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(V_3,B),B)),A),A),A))))
% <->
% quotient(difference(C,difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))
% Current number of equations to process: 118
% Current number of ordered equations: 38
% Current number of rules: 425
% New rule produced :
% [718]
% difference(i(i(A)),quotient(eta(A),quotient(quotient(i(B),A),eta(A)))) -> B
% Current number of equations to process: 117
% Current number of ordered equations: 38
% Current number of rules: 426
% New rule produced :
% [719]
% quotient(i(i(A)),quotient(difference(B,A),A)) ->
% quotient(eta(A),i(quotient(A,quotient(difference(B,A),A))))
% Rule
% [325] quotient(i(i(B)),quotient(difference(difference(i(i(B)),A),B),B)) -> A
% collapsed.
% Rule
% [591]
% quotient(quotient(quotient(difference(i(A),quotient(i(i(i(i(A)))),quotient(
% difference(A,
% i(i(A))),
% i(i(A))))),A),A),
% j(A)) -> difference(j(A),i(i(A))) collapsed.
% Current number of equations to process: 118
% Current number of ordered equations: 38
% Current number of rules: 425
% New rule produced :
% [720]
% quotient(eta(B),i(quotient(quotient(difference(i(B),quotient(difference(
% i(i(B)),A),
% quotient(difference(
% quotient(x1,
% quotient(
% difference(B,x1),x1)),
% difference(
% i(i(B)),A)),
% difference(i(i(B)),A)))),B),x1)))
% -> A
% Current number of equations to process: 117
% Current number of ordered equations: 38
% Current number of rules: 426
% New rule produced :
% [721]
% quotient(quotient(quotient(difference(i(A),quotient(eta(A),i(quotient(
% eta(A),i(
% quotient(A,
% j(A))))))),A),A),
% j(A)) -> difference(j(A),i(i(A)))
% Current number of equations to process: 116
% Current number of ordered equations: 38
% Current number of rules: 427
% New rule produced :
% [722]
% quotient(difference(i(A),quotient(B,quotient(difference(quotient(C,quotient(
% difference(A,C),C)),B),B))),A)
% <->
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(C,
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% Current number of equations to process: 115
% Current number of ordered equations: 39
% Current number of rules: 428
% New rule produced :
% [723]
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(C,
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% <->
% quotient(difference(i(A),quotient(B,quotient(difference(quotient(C,quotient(
% difference(A,C),C)),B),B))),A)
% Rule
% [535]
% quotient(quotient(quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),V_3),C)
% <->
% quotient(quotient(quotient(difference(i(A),quotient(B,quotient(difference(
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(V_3,C),C))),
% quotient(C,
% quotient(
% difference(V_3,C),C)))),B),B))),A),V_3),C)
% collapsed.
% Rule
% [584]
% quotient(difference(A,quotient(quotient(B,quotient(difference(C,B),B)),
% quotient(difference(V_3,quotient(B,quotient(difference(C,B),B))),
% quotient(B,quotient(difference(C,B),B))))),quotient(
% quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C)),B))
% <->
% quotient(difference(A,quotient(difference(i(B),quotient(C,quotient(difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C))),B)),
% quotient(quotient(C,quotient(difference(quotient(V_3,quotient(difference(B,V_3),V_3)),C),C)),B))
% collapsed.
% Rule
% [605]
% quotient(quotient(quotient(A,quotient(difference(quotient(quotient(B,
% quotient(difference(C,B),B)),
% quotient(difference(V_3,
% quotient(B,
% quotient(difference(C,B),B))),
% quotient(B,quotient(
% difference(C,B),B)))),A),A)),V_3),
% quotient(B,quotient(difference(C,B),B))) <->
% quotient(quotient(quotient(A,quotient(difference(quotient(difference(
% i(B),quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C))),B),A),A)),V_3),
% quotient(B,quotient(difference(C,B),B))) collapsed.
% Rule
% [666]
% quotient(quotient(quotient(A,quotient(difference(quotient(quotient(B,
% quotient(difference(C,B),B)),
% quotient(difference(V_3,
% quotient(B,
% quotient(difference(C,B),B))),
% quotient(B,quotient(
% difference(C,B),B)))),A),A)),
% quotient(quotient(C,quotient(difference(quotient(V_3,quotient(
% difference(B,V_3),V_3)),C),C)),B)),B)
% <->
% quotient(quotient(quotient(A,quotient(difference(quotient(difference(
% i(B),quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C))),B),A),A)),
% quotient(quotient(C,quotient(difference(quotient(V_3,quotient(
% difference(B,V_3),V_3)),C),C)),B)),B)
% collapsed.
% Current number of equations to process: 115
% Current number of ordered equations: 38
% Current number of rules: 425
% New rule produced : [724] quotient(eta(A),i(t(A,eta(A)))) -> one
% Current number of equations to process: 114
% Current number of ordered equations: 38
% Current number of rules: 426
% New rule produced :
% [725]
% t(A,quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A))
% <->
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A)))),A)
% Current number of equations to process: 114
% Current number of ordered equations: 36
% Current number of rules: 427
% New rule produced :
% [726]
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A)))),A)
% <->
% t(A,quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A))
% Current number of equations to process: 114
% Current number of ordered equations: 34
% Current number of rules: 428
% New rule produced :
% [727]
% quotient(quotient(quotient(A,j(A)),quotient(difference(B,quotient(A,j(A))),
% quotient(A,j(A)))),t(A,quotient(B,
% quotient(difference(A,B),B))))
% -> A
% Current number of equations to process: 114
% Current number of ordered equations: 33
% Current number of rules: 429
% New rule produced :
% [728]
% difference(quotient(eta(A),i(quotient(A,quotient(difference(B,A),A)))),
% quotient(quotient(quotient(eta(A),i(B)),j(B)),difference(quotient(A,quotient(
% difference(
% quotient(B,
% j(B)),A),A)),
% quotient(B,j(B))))) ->
% quotient(t(B,quotient(eta(A),quotient(quotient(i(B),A),eta(A)))),i(i(A)))
% Current number of equations to process: 113
% Current number of ordered equations: 33
% Current number of rules: 430
% New rule produced :
% [729]
% difference(B,quotient(quotient(B,quotient(difference(A,B),B)),quotient(
% difference(
% eta(B),
% quotient(B,
% quotient(
% difference(A,B),B))),
% quotient(B,
% quotient(
% difference(A,B),B)))))
% -> quotient(A,quotient(difference(eta(B),A),A))
% Current number of equations to process: 111
% Current number of ordered equations: 33
% Current number of rules: 431
% New rule produced :
% [730]
% quotient(i(i(B)),difference(quotient(difference(i(C),quotient(difference(
% quotient(
% eta(B),
% i(C)),A),
% quotient(difference(C,
% difference(
% quotient(
% eta(B),
% i(C)),A)),
% difference(quotient(
% eta(B),
% i(C)),A)))),C),B))
% -> A
% Current number of equations to process: 110
% Current number of ordered equations: 33
% Current number of rules: 432
% New rule produced :
% [731]
% difference(quotient(eta(A),quotient(A,eta(A))),quotient(eta(A),i(quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A)))))) ->
% quotient(quotient(quotient(B,quotient(difference(quotient(eta(A),quotient(A,
% eta(A))),B),B)),
% i(A)),eta(A))
% Current number of equations to process: 108
% Current number of ordered equations: 33
% Current number of rules: 433
% New rule produced :
% [732]
% quotient(difference(i(A),quotient(B,quotient(difference(quotient(A,quotient(
% difference(C,A),A)),B),B))),A)
% <->
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% t(A,C),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% Current number of equations to process: 106
% Current number of ordered equations: 34
% Current number of rules: 434
% New rule produced :
% [733]
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% t(A,C),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% <->
% quotient(difference(i(A),quotient(B,quotient(difference(quotient(A,quotient(
% difference(C,A),A)),B),B))),A)
% Current number of equations to process: 106
% Current number of ordered equations: 33
% Current number of rules: 435
% New rule produced :
% [734]
% quotient(quotient(A,quotient(difference(quotient(j(j(B)),quotient(eta(B),
% j(j(B)))),A),A)),B)
% <->
% difference(B,quotient(quotient(B,quotient(difference(A,B),B)),quotient(
% difference(
% eta(B),A),
% quotient(B,
% quotient(
% difference(A,B),B)))))
% Current number of equations to process: 102
% Current number of ordered equations: 34
% Current number of rules: 436
% New rule produced :
% [735]
% difference(B,quotient(quotient(B,quotient(difference(A,B),B)),quotient(
% difference(
% eta(B),A),
% quotient(B,
% quotient(
% difference(A,B),B)))))
% <->
% quotient(quotient(A,quotient(difference(quotient(j(j(B)),quotient(eta(B),
% j(j(B)))),A),A)),B)
% Current number of equations to process: 102
% Current number of ordered equations: 33
% Current number of rules: 437
% New rule produced :
% [736]
% quotient(quotient(quotient(quotient(eta(A),i(B)),quotient(difference(
% i(i(i(A))),B),B)),
% difference(quotient(difference(i(i(i(A))),quotient(quotient(
% eta(A),j(eta(A))),
% quotient(difference(B,
% eta(A)),eta(A)))),
% quotient(difference(i(i(i(A))),difference(i(i(i(A))),
% quotient(quotient(
% eta(A),j(eta(A))),
% quotient(difference(B,
% eta(A)),eta(A))))),
% difference(i(i(i(A))),quotient(quotient(eta(A),j(eta(A))),
% quotient(difference(B,eta(A)),
% eta(A)))))),quotient(B,quotient(
% difference(
% i(i(i(A))),B),B)))),
% i(i(i(A)))) -> difference(i(i(i(A))),quotient(eta(A),i(B)))
% Current number of equations to process: 101
% Current number of ordered equations: 33
% Current number of rules: 438
% New rule produced :
% [737]
% difference(A,quotient(difference(i(B),quotient(quotient(difference(B,A),
% j(difference(B,A))),quotient(
% difference(B,
% quotient(
% difference(B,A),
% j(
% difference(B,A)))),
% quotient(
% difference(B,A),
% j(
% difference(B,A)))))),B))
% -> quotient(t(difference(B,A),A),B)
% Current number of equations to process: 100
% Current number of ordered equations: 33
% Current number of rules: 439
% New rule produced :
% [738]
% quotient(t(eta(A),B),quotient(difference(quotient(eta(A),i(C)),t(eta(A),B)),
% t(eta(A),B))) ->
% quotient(eta(A),i(quotient(B,quotient(difference(C,B),B))))
% Current number of equations to process: 99
% Current number of ordered equations: 33
% Current number of rules: 440
% New rule produced :
% [739]
% quotient(difference(quotient(quotient(A,B),j(quotient(A,B))),quotient(
% quotient(A,B),
% quotient(
% difference(A,
% quotient(A,B)),
% quotient(A,B)))),
% quotient(difference(difference(quotient(quotient(A,B),j(quotient(A,B))),
% quotient(quotient(A,B),quotient(quotient(difference(C,
% quotient(A,B)),
% quotient(A,B)),quotient(A,B)))),
% difference(quotient(quotient(A,B),j(quotient(A,B))),quotient(
% quotient(A,B),
% quotient(
% difference(A,
% quotient(A,B)),
% quotient(A,B))))),
% difference(quotient(quotient(A,B),j(quotient(A,B))),quotient(quotient(A,B),
% quotient(difference(A,
% quotient(A,B)),
% quotient(A,B)))))) ->
% difference(quotient(quotient(A,B),j(quotient(A,B))),quotient(quotient(A,B),
% quotient(quotient(
% difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% quotient(A,B)),
% quotient(A,B)),
% quotient(A,B))))
% Current number of equations to process: 96
% Current number of ordered equations: 32
% Current number of rules: 441
% New rule produced :
% [740]
% quotient(difference(quotient(quotient(A,B),j(quotient(A,B))),quotient(
% quotient(A,B),
% quotient(
% quotient(
% difference(C,
% quotient(A,B)),
% quotient(A,B)),
% quotient(A,B)))),
% quotient(difference(difference(quotient(quotient(A,B),j(quotient(A,B))),
% quotient(quotient(A,B),quotient(difference(A,quotient(A,B)),
% quotient(A,B)))),difference(
% quotient(
% quotient(A,B),
% j(quotient(A,B))),
% quotient(
% quotient(A,B),
% quotient(
% quotient(
% difference(C,
% quotient(A,B)),
% quotient(A,B)),
% quotient(A,B))))),
% difference(quotient(quotient(A,B),j(quotient(A,B))),quotient(quotient(A,B),
% quotient(quotient(
% difference(C,
% quotient(A,B)),
% quotient(A,B)),
% quotient(A,B)))))) <->
% difference(quotient(quotient(A,B),j(quotient(A,B))),quotient(quotient(A,B),
% quotient(quotient(
% difference(
% quotient(C,
% quotient(
% difference(B,C),C)),
% quotient(A,B)),
% quotient(A,B)),
% quotient(A,B))))
% Current number of equations to process: 96
% Current number of ordered equations: 31
% Current number of rules: 442
% New rule produced :
% [741]
% difference(quotient(quotient(A,B),j(quotient(A,B))),quotient(quotient(A,B),
% quotient(quotient(
% difference(
% quotient(C,
% quotient(
% difference(B,C),C)),
% quotient(A,B)),
% quotient(A,B)),
% quotient(A,B)))) <->
% quotient(difference(quotient(quotient(A,B),j(quotient(A,B))),quotient(
% quotient(A,B),
% quotient(
% quotient(
% difference(C,
% quotient(A,B)),
% quotient(A,B)),
% quotient(A,B)))),
% quotient(difference(difference(quotient(quotient(A,B),j(quotient(A,B))),
% quotient(quotient(A,B),quotient(difference(A,quotient(A,B)),
% quotient(A,B)))),difference(
% quotient(
% quotient(A,B),
% j(quotient(A,B))),
% quotient(
% quotient(A,B),
% quotient(
% quotient(
% difference(C,
% quotient(A,B)),
% quotient(A,B)),
% quotient(A,B))))),
% difference(quotient(quotient(A,B),j(quotient(A,B))),quotient(quotient(A,B),
% quotient(quotient(
% difference(C,
% quotient(A,B)),
% quotient(A,B)),
% quotient(A,B))))))
% Current number of equations to process: 96
% Current number of ordered equations: 30
% Current number of rules: 443
% New rule produced :
% [742]
% quotient(quotient(t(quotient(A,B),B),quotient(difference(quotient(C,quotient(
% difference(A,C),C)),
% t(quotient(A,B),B)),t(quotient(A,B),B))),A)
% ->
% difference(A,quotient(quotient(A,quotient(quotient(A,B),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% quotient(A,B),A))),
% quotient(A,
% quotient(
% quotient(A,B),A)))))
% Current number of equations to process: 96
% Current number of ordered equations: 29
% Current number of rules: 444
% New rule produced :
% [743]
% quotient(difference(i(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% quotient(quotient(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(C,A),A),A))),
% quotient(difference(eta(difference(quotient(A,j(A)),
% quotient(A,quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(C,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(C,A),A),A))),
% quotient(difference(eta(difference(quotient(A,j(A)),
% quotient(A,quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(C,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A)))))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))),
% quotient(difference(eta(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,A),A),A)))))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A))),
% quotient(difference(eta(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(C,B),B)),A),A),A)))))
% Current number of equations to process: 94
% Current number of ordered equations: 30
% Current number of rules: 445
% New rule produced :
% [744]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A))),
% quotient(difference(eta(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(C,B),B)),A),A),A)))))
% <->
% quotient(difference(i(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% quotient(quotient(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(C,A),A),A))),
% quotient(difference(eta(difference(quotient(A,j(A)),
% quotient(A,quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(C,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(C,A),A),A))),
% quotient(difference(eta(difference(quotient(A,j(A)),
% quotient(A,quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(C,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A)))))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))),
% quotient(difference(eta(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,A),A),A)))))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))
% Current number of equations to process: 94
% Current number of ordered equations: 29
% Current number of rules: 446
% New rule produced :
% [745]
% difference(quotient(j(j(A)),quotient(eta(A),j(j(A)))),quotient(j(j(A)),
% quotient(quotient(
% difference(B,
% i(i(A))),A),
% j(j(A))))) ->
% quotient(quotient(quotient(B,quotient(difference(quotient(j(j(A)),quotient(
% eta(A),
% j(j(A)))),B),B)),A),
% j(j(A)))
% Current number of equations to process: 93
% Current number of ordered equations: 29
% Current number of rules: 447
% New rule produced :
% [746]
% difference(quotient(eta(A),quotient(i(A),eta(A))),quotient(eta(A),i(quotient(
% eta(A),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))))))
% ->
% quotient(quotient(quotient(B,quotient(difference(quotient(eta(A),quotient(
% i(A),
% eta(A))),B),B)),
% i(i(A))),eta(A))
% Current number of equations to process: 92
% Current number of ordered equations: 29
% Current number of rules: 448
% New rule produced :
% [747]
% quotient(difference(i(B),quotient(quotient(i(i(B)),difference(difference(
% j(j(B)),A),B)),
% quotient(difference(B,quotient(i(i(B)),difference(
% difference(
% j(j(B)),A),B))),
% quotient(i(i(B)),difference(difference(j(j(B)),A),B))))),B)
% -> A
% Current number of equations to process: 90
% Current number of ordered equations: 29
% Current number of rules: 449
% New rule produced :
% [748]
% difference(difference(quotient(B,j(B)),quotient(B,quotient(quotient(difference(V_3,B),B),B))),
% quotient(quotient(difference(quotient(B,j(B)),quotient(B,quotient(quotient(
% difference(V_3,B),B),B))),
% quotient(difference(A,difference(quotient(B,j(B)),quotient(B,
% quotient(quotient(
% difference(V_3,B),B),B)))),
% difference(quotient(B,j(B)),quotient(B,quotient(quotient(difference(V_3,B),B),B))))),
% quotient(difference(difference(quotient(B,j(B)),quotient(B,quotient(quotient(
% difference(C,B),B),B))),
% quotient(difference(quotient(B,j(B)),quotient(B,quotient(quotient(
% difference(V_3,B),B),B))),
% quotient(difference(A,difference(quotient(B,j(B)),quotient(B,
% quotient(quotient(
% difference(V_3,B),B),B)))),
% difference(quotient(B,j(B)),quotient(B,quotient(quotient(difference(V_3,B),B),B)))))),
% quotient(difference(quotient(B,j(B)),quotient(B,quotient(quotient(difference(V_3,B),B),B))),
% quotient(difference(A,difference(quotient(B,j(B)),quotient(B,quotient(
% quotient(
% difference(V_3,B),B),B)))),
% difference(quotient(B,j(B)),quotient(B,quotient(quotient(difference(V_3,B),B),B))))))))
% <->
% quotient(quotient(A,quotient(difference(difference(quotient(B,j(B)),quotient(B,
% quotient(
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),B),B),B))),A),A)),
% difference(quotient(B,j(B)),quotient(B,quotient(quotient(difference(V_3,B),B),B))))
% Current number of equations to process: 90
% Current number of ordered equations: 28
% Current number of rules: 450
% New rule produced :
% [749]
% quotient(quotient(A,quotient(difference(difference(quotient(B,j(B)),quotient(B,
% quotient(
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),B),B),B))),A),A)),
% difference(quotient(B,j(B)),quotient(B,quotient(quotient(difference(V_3,B),B),B))))
% <->
% difference(difference(quotient(B,j(B)),quotient(B,quotient(quotient(difference(V_3,B),B),B))),
% quotient(quotient(difference(quotient(B,j(B)),quotient(B,quotient(quotient(
% difference(V_3,B),B),B))),
% quotient(difference(A,difference(quotient(B,j(B)),quotient(B,
% quotient(quotient(
% difference(V_3,B),B),B)))),
% difference(quotient(B,j(B)),quotient(B,quotient(quotient(difference(V_3,B),B),B))))),
% quotient(difference(difference(quotient(B,j(B)),quotient(B,quotient(quotient(
% difference(C,B),B),B))),
% quotient(difference(quotient(B,j(B)),quotient(B,quotient(quotient(
% difference(V_3,B),B),B))),
% quotient(difference(A,difference(quotient(B,j(B)),quotient(B,
% quotient(quotient(
% difference(V_3,B),B),B)))),
% difference(quotient(B,j(B)),quotient(B,quotient(quotient(difference(V_3,B),B),B)))))),
% quotient(difference(quotient(B,j(B)),quotient(B,quotient(quotient(difference(V_3,B),B),B))),
% quotient(difference(A,difference(quotient(B,j(B)),quotient(B,quotient(
% quotient(
% difference(V_3,B),B),B)))),
% difference(quotient(B,j(B)),quotient(B,quotient(quotient(difference(V_3,B),B),B))))))))
% Current number of equations to process: 90
% Current number of ordered equations: 27
% Current number of rules: 451
% New rule produced :
% [750]
% quotient(quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))),
% quotient(difference(quotient(V_3,quotient(difference(difference(
% quotient(A,
% j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A))),V_3),V_3)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,A),A),A))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))
% <->
% difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A))),
% quotient(difference(V_3,difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(C,B),B)),A),A),A))))))
% Current number of equations to process: 90
% Current number of ordered equations: 26
% Current number of rules: 452
% New rule produced :
% [751]
% difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A))),
% quotient(difference(V_3,difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(C,B),B)),A),A),A))))))
% <->
% quotient(quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))),
% quotient(difference(quotient(V_3,quotient(difference(difference(
% quotient(A,
% j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A))),V_3),V_3)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,A),A),A))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))
% Current number of equations to process: 90
% Current number of ordered equations: 25
% Current number of rules: 453
% New rule produced :
% [752]
% difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(V_3,difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))))
% ->
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))),
% quotient(V_3,quotient(difference(difference(quotient(A,j(A)),
% quotient(A,quotient(quotient(
% difference(B,A),A),A))),V_3),V_3))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))
% Current number of equations to process: 90
% Current number of ordered equations: 22
% Current number of rules: 454
% New rule produced :
% [753]
% quotient(quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% quotient(difference(C,difference(quotient(A,j(A)),quotient(A,
% quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(V_3,A),A),A))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% quotient(difference(C,difference(quotient(A,j(A)),quotient(A,
% quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(C,difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))))
% <->
% quotient(difference(i(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% quotient(C,quotient(difference(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),A),A),A))),C),C))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))
% Current number of equations to process: 89
% Current number of ordered equations: 23
% Current number of rules: 455
% New rule produced :
% [754]
% quotient(difference(i(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% quotient(C,quotient(difference(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),A),A),A))),C),C))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))
% <->
% quotient(quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% quotient(difference(C,difference(quotient(A,j(A)),quotient(A,
% quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(V_3,A),A),A))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% quotient(difference(C,difference(quotient(A,j(A)),quotient(A,
% quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(C,difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))))
% Current number of equations to process: 89
% Current number of ordered equations: 22
% Current number of rules: 456
% New rule produced :
% [755]
% difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(
% quotient(C,
% j(C)),B),B)),A),A),A))))
% ->
% quotient(t(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))
% Current number of equations to process: 89
% Current number of ordered equations: 21
% Current number of rules: 457
% New rule produced :
% [756]
% difference(quotient(A,quotient(quotient(A,B),A)),quotient(difference(
% i(A),quotient(
% quotient(
% t(quotient(A,B),B),
% quotient(
% difference(C,
% t(quotient(A,B),B)),
% t(quotient(A,B),B))),
% quotient(
% difference(A,
% quotient(
% t(quotient(A,B),B),
% quotient(
% difference(C,
% t(quotient(A,B),B)),
% t(quotient(A,B),B)))),
% quotient(
% t(quotient(A,B),B),
% quotient(
% difference(C,
% t(quotient(A,B),B)),
% t(quotient(A,B),B)))))),A))
% ->
% quotient(quotient(quotient(C,quotient(difference(quotient(A,quotient(
% quotient(A,B),A)),C),C)),
% t(quotient(A,B),B)),A)
% Current number of equations to process: 88
% Current number of ordered equations: 21
% Current number of rules: 458
% New rule produced :
% [757]
% difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(quotient(
% difference(
% quotient(C,
% quotient(
% difference(
% t(
% eta(A),V_3),C),C)),
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(eta(A),B)))) <->
% quotient(difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(
% quotient(
% difference(C,
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(
% eta(A),B)))),
% quotient(difference(t(eta(A),difference(quotient(B,j(B)),quotient(B,quotient(
% quotient(
% difference(V_3,B),B),B)))),
% difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(
% quotient(
% difference(C,
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(
% eta(A),B))))),
% difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(quotient(
% difference(C,
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(eta(A),B))))))
% Current number of equations to process: 88
% Current number of ordered equations: 20
% Current number of rules: 459
% New rule produced :
% [758]
% difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(quotient(
% difference(
% quotient(
% t(
% eta(A),C),
% quotient(
% difference(V_3,
% t(
% eta(A),C)),
% t(
% eta(A),C))),
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(eta(A),B)))) <->
% quotient(t(eta(A),difference(quotient(B,j(B)),quotient(B,quotient(quotient(
% difference(C,B),B),B)))),
% quotient(difference(difference(t(eta(A),quotient(B,j(B))),quotient(t(
% eta(A),B),
% quotient(quotient(
% difference(V_3,
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(eta(A),B)))),
% t(eta(A),difference(quotient(B,j(B)),quotient(B,quotient(quotient(
% difference(C,B),B),B))))),
% t(eta(A),difference(quotient(B,j(B)),quotient(B,quotient(quotient(difference(C,B),B),B))))))
% Current number of equations to process: 88
% Current number of ordered equations: 19
% Current number of rules: 460
% New rule produced :
% [759]
% quotient(difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(
% quotient(
% difference(C,
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(
% eta(A),B)))),
% quotient(difference(t(eta(A),difference(quotient(B,j(B)),quotient(B,quotient(
% quotient(
% difference(V_3,B),B),B)))),
% difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(
% quotient(
% difference(C,
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(
% eta(A),B))))),
% difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(quotient(
% difference(C,
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(eta(A),B))))))
% <->
% difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(quotient(
% difference(
% quotient(C,
% quotient(
% difference(
% t(
% eta(A),V_3),C),C)),
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(eta(A),B))))
% Current number of equations to process: 88
% Current number of ordered equations: 18
% Current number of rules: 461
% New rule produced :
% [760]
% quotient(t(eta(A),difference(quotient(B,j(B)),quotient(B,quotient(quotient(
% difference(C,B),B),B)))),
% quotient(difference(difference(t(eta(A),quotient(B,j(B))),quotient(t(
% eta(A),B),
% quotient(quotient(
% difference(V_3,
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(eta(A),B)))),
% t(eta(A),difference(quotient(B,j(B)),quotient(B,quotient(quotient(
% difference(C,B),B),B))))),
% t(eta(A),difference(quotient(B,j(B)),quotient(B,quotient(quotient(difference(C,B),B),B))))))
% <->
% difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(quotient(
% difference(
% quotient(
% t(
% eta(A),C),
% quotient(
% difference(V_3,
% t(
% eta(A),C)),
% t(
% eta(A),C))),
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(eta(A),B))))
% Current number of equations to process: 88
% Current number of ordered equations: 17
% Current number of rules: 462
% New rule produced :
% [761]
% difference(quotient(quotient(A,quotient(difference(B,A),A)),j(quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(
% quotient(C,
% quotient(
% difference(
% eta(A),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% <->
% quotient(difference(quotient(quotient(A,quotient(difference(B,A),A)),
% j(quotient(A,quotient(difference(B,A),A)))),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(difference(difference(quotient(quotient(A,quotient(difference(B,A),A)),
% j(quotient(A,quotient(difference(B,A),A)))),
% quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(quotient(quotient(difference(eta(A),quotient(A,
% quotient(
% difference(B,A),A))),B),A),
% quotient(A,quotient(difference(B,A),A))))),difference(
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% j(quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))))),
% difference(quotient(quotient(A,quotient(difference(B,A),A)),j(quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))))
% Current number of equations to process: 83
% Current number of ordered equations: 18
% Current number of rules: 463
% New rule produced :
% [762]
% quotient(difference(quotient(quotient(A,quotient(difference(B,A),A)),
% j(quotient(A,quotient(difference(B,A),A)))),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(difference(difference(quotient(quotient(A,quotient(difference(B,A),A)),
% j(quotient(A,quotient(difference(B,A),A)))),
% quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(quotient(quotient(difference(eta(A),quotient(A,
% quotient(
% difference(B,A),A))),B),A),
% quotient(A,quotient(difference(B,A),A))))),difference(
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% j(quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))))),
% difference(quotient(quotient(A,quotient(difference(B,A),A)),j(quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))))
% <->
% difference(quotient(quotient(A,quotient(difference(B,A),A)),j(quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(
% quotient(C,
% quotient(
% difference(
% eta(A),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% Current number of equations to process: 83
% Current number of ordered equations: 17
% Current number of rules: 464
% New rule produced :
% [763]
% quotient(quotient(A,quotient(difference(quotient(eta(B),quotient(B,eta(B))),A),A)),
% i(B)) <->
% difference(i(B),quotient(quotient(i(B),quotient(difference(A,i(B)),i(B))),
% quotient(quotient(quotient(difference(B,quotient(A,quotient(
% difference(
% eta(B),A),A))),B),
% i(B)),quotient(i(B),quotient(difference(A,i(B)),
% i(B))))))
% Current number of equations to process: 80
% Current number of ordered equations: 18
% Current number of rules: 465
% New rule produced :
% [764]
% difference(i(B),quotient(quotient(i(B),quotient(difference(A,i(B)),i(B))),
% quotient(quotient(quotient(difference(B,quotient(A,quotient(
% difference(
% eta(B),A),A))),B),
% i(B)),quotient(i(B),quotient(difference(A,i(B)),
% i(B)))))) <->
% quotient(quotient(A,quotient(difference(quotient(eta(B),quotient(B,eta(B))),A),A)),
% i(B))
% Current number of equations to process: 80
% Current number of ordered equations: 17
% Current number of rules: 466
% New rule produced :
% [765]
% quotient(A,quotient(difference(i(i(B)),A),A)) <->
% quotient(difference(i(A),quotient(eta(B),i(quotient(B,quotient(difference(A,B),B))))),A)
% Current number of equations to process: 79
% Current number of ordered equations: 18
% Current number of rules: 467
% New rule produced :
% [766]
% quotient(difference(i(A),quotient(eta(B),i(quotient(B,quotient(difference(A,B),B))))),A)
% <-> quotient(A,quotient(difference(i(i(B)),A),A))
% Current number of equations to process: 79
% Current number of ordered equations: 17
% Current number of rules: 468
% New rule produced :
% [767]
% difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(quotient(
% difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(eta(A),B)))) <->
% quotient(difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(
% quotient(
% difference(C,
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(
% eta(A),B)))),
% quotient(difference(difference(t(eta(A),quotient(B,j(B))),quotient(t(
% eta(A),B),
% quotient(quotient(
% difference(V_3,
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(eta(A),B)))),
% difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(
% quotient(
% difference(C,
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(
% eta(A),B))))),
% difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(quotient(
% difference(C,
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(eta(A),B))))))
% Current number of equations to process: 79
% Current number of ordered equations: 16
% Current number of rules: 469
% New rule produced :
% [768]
% quotient(difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(
% quotient(
% difference(C,
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(
% eta(A),B)))),
% quotient(difference(difference(t(eta(A),quotient(B,j(B))),quotient(t(
% eta(A),B),
% quotient(quotient(
% difference(V_3,
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(eta(A),B)))),
% difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(
% quotient(
% difference(C,
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(
% eta(A),B))))),
% difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(quotient(
% difference(C,
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(eta(A),B))))))
% <->
% difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(quotient(
% difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(eta(A),B))))
% Current number of equations to process: 79
% Current number of ordered equations: 15
% Current number of rules: 470
% Rule [644]
% quotient(quotient(eta(A),j(eta(A))),quotient(difference(B,quotient(
% eta(A),
% j(eta(A)))),
% quotient(eta(A),j(eta(A))))) <->
% quotient(difference(i(i(A)),quotient(difference(i(A),quotient(eta(A),
% i(quotient(
% eta(A),i(B))))),
% quotient(difference(i(A),difference(
% i(A),quotient(
% eta(A),
% i(quotient(
% eta(A),
% i(B)))))),
% difference(i(A),quotient(eta(A),i(quotient(
% eta(A),
% i(B)))))))),
% i(A)) is composed into [644]
% quotient(quotient(eta(A),j(eta(A))),quotient(
% difference(B,
% quotient(
% eta(A),
% j(eta(A)))),
% quotient(
% eta(A),
% j(eta(A)))))
% <->
% quotient(difference(i(i(A)),quotient(difference(
% i(A),
% quotient(
% quotient(
% quotient(
% eta(A),
% i(B)),
% quotient(
% difference(
% i(A),
% quotient(
% eta(A),
% i(B))),
% quotient(
% eta(A),
% i(B)))),
% quotient(
% quotient(
% difference(A,
% quotient(
% quotient(
% eta(A),
% i(B)),
% quotient(
% difference(
% eta(A),
% quotient(
% eta(A),
% i(B))),
% quotient(
% eta(A),
% i(B))))),A),
% quotient(
% quotient(
% eta(A),
% i(B)),
% quotient(
% difference(
% i(A),
% quotient(
% eta(A),
% i(B))),
% quotient(
% eta(A),
% i(B))))))),A)),
% i(A))
% New rule produced :
% [769]
% quotient(difference(i(A),quotient(eta(A),i(B))),quotient(difference(i(A),
% difference(i(A),
% quotient(eta(A),
% i(B)))),difference(
% i(A),
% quotient(
% eta(A),
% i(B))))) ->
% quotient(difference(i(A),quotient(quotient(B,quotient(difference(i(A),B),B)),
% quotient(quotient(difference(A,quotient(B,quotient(
% difference(
% eta(A),B),B))),A),
% quotient(B,quotient(difference(i(A),B),B))))),A)
% Rule
% [645]
% quotient(difference(i(i(A)),quotient(difference(i(A),quotient(eta(A),
% i(quotient(eta(A),i(B))))),
% quotient(difference(i(A),difference(i(A),
% quotient(eta(A),
% i(quotient(eta(A),i(B)))))),
% difference(i(A),quotient(eta(A),i(quotient(
% eta(A),
% i(B)))))))),
% i(A)) <->
% quotient(quotient(eta(A),j(eta(A))),quotient(difference(B,quotient(eta(A),
% j(eta(A)))),
% quotient(eta(A),j(eta(A))))) collapsed.
% Current number of equations to process: 79
% Current number of ordered equations: 15
% Current number of rules: 470
% New rule produced :
% [770]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A))),
% quotient(difference(V_3,difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(C,B),B)),A),A),A)))))
% <->
% quotient(difference(i(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))),
% quotient(difference(quotient(V_3,quotient(difference(difference(
% quotient(A,
% j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A))),V_3),V_3)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,A),A),A)))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))
% Current number of equations to process: 77
% Current number of ordered equations: 16
% Current number of rules: 471
% New rule produced :
% [771]
% quotient(difference(i(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))),
% quotient(difference(quotient(V_3,quotient(difference(difference(
% quotient(A,
% j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A))),V_3),V_3)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,A),A),A)))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A))),
% quotient(difference(V_3,difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(C,B),B)),A),A),A)))))
% Current number of equations to process: 77
% Current number of ordered equations: 15
% Current number of rules: 472
% New rule produced :
% [772]
% quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A))
% <->
% quotient(quotient(A,quotient(difference(quotient(difference(i(B),quotient(
% quotient(C,
% quotient(
% difference(
% eta(B),C),C)),
% quotient(
% difference(B,
% quotient(C,
% quotient(
% difference(
% eta(B),C),C))),
% quotient(C,
% quotient(
% difference(
% eta(B),C),C))))),B),A),A)),
% eta(B))
% Current number of equations to process: 75
% Current number of ordered equations: 16
% Current number of rules: 473
% New rule produced :
% [773]
% quotient(quotient(A,quotient(difference(quotient(difference(i(B),quotient(
% quotient(C,
% quotient(
% difference(
% eta(B),C),C)),
% quotient(
% difference(B,
% quotient(C,
% quotient(
% difference(
% eta(B),C),C))),
% quotient(C,
% quotient(
% difference(
% eta(B),C),C))))),B),A),A)),
% eta(B)) <->
% quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A))
% Current number of equations to process: 75
% Current number of ordered equations: 15
% Current number of rules: 474
% New rule produced :
% [774]
% difference(eta(B),quotient(difference(i(B),quotient(quotient(j(B),quotient(
% difference(A,
% j(B)),
% j(B))),
% quotient(difference(B,quotient(
% j(B),
% quotient(
% difference(A,
% j(B)),
% j(B)))),
% quotient(j(B),quotient(difference(A,
% j(B)),
% j(B)))))),B)) ->
% quotient(quotient(quotient(A,quotient(difference(eta(B),A),A)),j(B)),B)
% Current number of equations to process: 74
% Current number of ordered equations: 15
% Current number of rules: 475
% New rule produced :
% [775]
% quotient(t(quotient(A,B),B),quotient(difference(quotient(A,B),t(quotient(A,B),B)),
% t(quotient(A,B),B))) -> A
% Current number of equations to process: 73
% Current number of ordered equations: 15
% Current number of rules: 476
% New rule produced :
% [776]
% quotient(quotient(eta(A),i(quotient(A,quotient(difference(B,A),A)))),
% quotient(difference(C,quotient(A,quotient(difference(B,A),A))),quotient(A,
% quotient(
% difference(B,A),A))))
% <->
% quotient(eta(A),i(quotient(quotient(difference(i(A),quotient(quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(
% i(i(A)),C),C)),B),B)),
% i(i(A))),
% quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(
% i(i(A)),C),C)),B),B)),
% i(i(A)))),
% quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(
% i(i(A)),C),C)),B),B)),
% i(i(A)))))),A),C)))
% Current number of equations to process: 72
% Current number of ordered equations: 16
% Current number of rules: 477
% New rule produced :
% [777]
% quotient(eta(A),i(quotient(quotient(difference(i(A),quotient(quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(
% i(i(A)),C),C)),B),B)),
% i(i(A))),
% quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(
% i(i(A)),C),C)),B),B)),
% i(i(A)))),
% quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(
% i(i(A)),C),C)),B),B)),
% i(i(A)))))),A),C))) <->
% quotient(quotient(eta(A),i(quotient(A,quotient(difference(B,A),A)))),
% quotient(difference(C,quotient(A,quotient(difference(B,A),A))),quotient(A,
% quotient(
% difference(B,A),A))))
% Current number of equations to process: 72
% Current number of ordered equations: 15
% Current number of rules: 478
% New rule produced :
% [778]
% difference(quotient(quotient(A,quotient(difference(B,A),A)),quotient(B,
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(quotient(A,quotient(difference(B,A),A)),j(quotient(A,quotient(
% difference(B,A),A)))))
% ->
% quotient(quotient(quotient(difference(i(B),quotient(quotient(quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(B,quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(difference(B,quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(B,
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(quotient(A,quotient(
% difference(B,A),A)),
% quotient(B,quotient(A,quotient(
% difference(B,A),A))))))),B),A),
% quotient(A,quotient(difference(B,A),A)))
% Current number of equations to process: 71
% Current number of ordered equations: 15
% Current number of rules: 479
% New rule produced :
% [779]
% difference(t(difference(A,quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(C,quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))),A),
% quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)))
% ->
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A)
% Current number of equations to process: 71
% Current number of ordered equations: 14
% Current number of rules: 480
% New rule produced :
% [780]
% difference(i(i(A)),quotient(eta(A),i(quotient(quotient(j(j(A)),quotient(
% eta(A),
% j(j(A)))),
% quotient(difference(B,quotient(j(j(A)),
% quotient(eta(A),
% j(j(A))))),
% quotient(j(j(A)),quotient(eta(A),
% j(j(A))))))))) ->
% t(i(i(A)),quotient(B,quotient(difference(i(i(A)),B),B)))
% Current number of equations to process: 70
% Current number of ordered equations: 14
% Current number of rules: 481
% New rule produced :
% [781]
% difference(quotient(eta(A),quotient(quotient(i(i(i(A))),A),eta(A))),quotient(
% eta(A),
% i(
% quotient(
% j(
% j(A)),
% quotient(
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% i(
% i(A))),A),
% j(
% j(A)))))))
% <->
% quotient(difference(quotient(eta(A),quotient(quotient(i(i(i(A))),A),eta(A))),
% quotient(eta(A),i(quotient(j(j(A)),quotient(quotient(difference(B,
% i(i(A))),A),
% j(j(A))))))),quotient(difference(
% difference(
% quotient(
% eta(A),
% quotient(
% quotient(
% i(i(i(A))),A),
% eta(A))),
% quotient(
% eta(A),
% i(quotient(
% j(
% j(A)),
% quotient(
% quotient(
% difference(C,
% i(
% i(A))),A),
% j(
% j(A))))))),
% difference(
% quotient(
% eta(A),
% quotient(
% quotient(
% i(i(i(A))),A),
% eta(A))),
% quotient(
% eta(A),
% i(quotient(
% j(
% j(A)),
% quotient(
% quotient(
% difference(B,
% i(
% i(A))),A),
% j(
% j(A)))))))),
% difference(quotient(
% eta(A),
% quotient(
% quotient(
% i(
% i(i(A))),A),
% eta(A))),
% quotient(eta(A),
% i(quotient(j(j(A)),
% quotient(quotient(
% difference(B,
% i(
% i(A))),A),
% j(j(A)))))))))
% Current number of equations to process: 68
% Current number of ordered equations: 15
% Current number of rules: 482
% New rule produced :
% [782]
% quotient(difference(quotient(eta(A),quotient(quotient(i(i(i(A))),A),eta(A))),
% quotient(eta(A),i(quotient(j(j(A)),quotient(quotient(difference(B,
% i(i(A))),A),
% j(j(A))))))),quotient(difference(
% difference(
% quotient(
% eta(A),
% quotient(
% quotient(
% i(i(i(A))),A),
% eta(A))),
% quotient(
% eta(A),
% i(quotient(
% j(
% j(A)),
% quotient(
% quotient(
% difference(C,
% i(
% i(A))),A),
% j(
% j(A))))))),
% difference(
% quotient(
% eta(A),
% quotient(
% quotient(
% i(i(i(A))),A),
% eta(A))),
% quotient(
% eta(A),
% i(quotient(
% j(
% j(A)),
% quotient(
% quotient(
% difference(B,
% i(
% i(A))),A),
% j(
% j(A)))))))),
% difference(quotient(
% eta(A),
% quotient(
% quotient(
% i(
% i(i(A))),A),
% eta(A))),
% quotient(eta(A),
% i(quotient(j(j(A)),
% quotient(quotient(
% difference(B,
% i(
% i(A))),A),
% j(j(A))))))))) <->
% difference(quotient(eta(A),quotient(quotient(i(i(i(A))),A),eta(A))),quotient(
% eta(A),
% i(
% quotient(
% j(
% j(A)),
% quotient(
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% i(
% i(A))),A),
% j(
% j(A)))))))
% Current number of equations to process: 68
% Current number of ordered equations: 14
% Current number of rules: 483
% New rule produced :
% [783]
% difference(B,quotient(quotient(difference(i(B),quotient(quotient(A,quotient(
% difference(B,A),A)),
% quotient(difference(B,
% quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))),B),
% quotient(difference(A,quotient(difference(i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B)),
% quotient(difference(i(B),quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(B,quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))),B))))
% ->
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),j(quotient(A,
% quotient(
% difference(B,A),A)))),B)
% Current number of equations to process: 66
% Current number of ordered equations: 14
% Current number of rules: 484
% New rule produced :
% [784]
% quotient(difference(quotient(eta(A),i(quotient(difference(i(B),quotient(
% quotient(
% eta(A),
% i(B)),
% j(B))),B))),
% quotient(eta(A),i(quotient(difference(i(B),quotient(quotient(
% eta(A),i(
% quotient(B,
% quotient(
% difference(C,B),B)))),
% quotient(C,quotient(B,
% quotient(
% difference(C,B),B))))),B)))),
% quotient(difference(difference(quotient(eta(A),i(quotient(difference(
% i(B),quotient(
% quotient(
% eta(A),
% i(B)),
% j(B))),B))),
% quotient(eta(A),i(quotient(difference(i(B),quotient(
% quotient(
% eta(A),
% i(quotient(B,
% quotient(
% difference(V_3,B),B)))),
% quotient(V_3,
% quotient(B,
% quotient(
% difference(V_3,B),B))))),B)))),
% difference(quotient(eta(A),i(quotient(difference(i(B),quotient(
% quotient(
% eta(A),
% i(B)),
% j(B))),B))),
% quotient(eta(A),i(quotient(difference(i(B),quotient(quotient(
% eta(A),i(
% quotient(B,
% quotient(
% difference(C,B),B)))),
% quotient(C,quotient(B,
% quotient(
% difference(C,B),B))))),B))))),
% difference(quotient(eta(A),i(quotient(difference(i(B),quotient(quotient(
% eta(A),
% i(B)),
% j(B))),B))),quotient(
% eta(A),
% i(quotient(
% difference(
% i(B),
% quotient(
% quotient(
% eta(A),
% i(
% quotient(B,
% quotient(
% difference(C,B),B)))),
% quotient(C,
% quotient(B,
% quotient(
% difference(C,B),B))))),B))))))
% <->
% difference(quotient(eta(A),i(quotient(difference(i(B),quotient(quotient(
% eta(A),
% i(B)),
% j(B))),B))),quotient(
% eta(A),
% i(quotient(
% difference(
% i(B),
% quotient(
% quotient(
% eta(A),
% i(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),B),B)))),
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),B),B))))),B))))
% Current number of equations to process: 64
% Current number of ordered equations: 15
% Current number of rules: 485
% New rule produced :
% [785]
% difference(quotient(eta(A),i(quotient(difference(i(B),quotient(quotient(
% eta(A),
% i(B)),
% j(B))),B))),quotient(
% eta(A),
% i(quotient(
% difference(
% i(B),
% quotient(
% quotient(
% eta(A),
% i(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),B),B)))),
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),B),B))))),B))))
% <->
% quotient(difference(quotient(eta(A),i(quotient(difference(i(B),quotient(
% quotient(
% eta(A),
% i(B)),
% j(B))),B))),
% quotient(eta(A),i(quotient(difference(i(B),quotient(quotient(
% eta(A),i(
% quotient(B,
% quotient(
% difference(C,B),B)))),
% quotient(C,quotient(B,
% quotient(
% difference(C,B),B))))),B)))),
% quotient(difference(difference(quotient(eta(A),i(quotient(difference(
% i(B),quotient(
% quotient(
% eta(A),
% i(B)),
% j(B))),B))),
% quotient(eta(A),i(quotient(difference(i(B),quotient(
% quotient(
% eta(A),
% i(quotient(B,
% quotient(
% difference(V_3,B),B)))),
% quotient(V_3,
% quotient(B,
% quotient(
% difference(V_3,B),B))))),B)))),
% difference(quotient(eta(A),i(quotient(difference(i(B),quotient(
% quotient(
% eta(A),
% i(B)),
% j(B))),B))),
% quotient(eta(A),i(quotient(difference(i(B),quotient(quotient(
% eta(A),i(
% quotient(B,
% quotient(
% difference(C,B),B)))),
% quotient(C,quotient(B,
% quotient(
% difference(C,B),B))))),B))))),
% difference(quotient(eta(A),i(quotient(difference(i(B),quotient(quotient(
% eta(A),
% i(B)),
% j(B))),B))),quotient(
% eta(A),
% i(quotient(
% difference(
% i(B),
% quotient(
% quotient(
% eta(A),
% i(
% quotient(B,
% quotient(
% difference(C,B),B)))),
% quotient(C,
% quotient(B,
% quotient(
% difference(C,B),B))))),B))))))
% Current number of equations to process: 64
% Current number of ordered equations: 14
% Current number of rules: 486
% New rule produced :
% [786]
% quotient(quotient(A,quotient(difference(quotient(B,quotient(C,B)),A),A)),
% quotient(B,C)) <->
% difference(quotient(B,C),quotient(quotient(quotient(B,C),quotient(difference(A,
% quotient(B,C)),
% quotient(B,C))),
% quotient(difference(B,quotient(quotient(B,C),
% quotient(difference(A,
% quotient(B,C)),
% quotient(B,C)))),quotient(
% quotient(B,C),
% quotient(
% difference(A,
% quotient(B,C)),
% quotient(B,C))))))
% Current number of equations to process: 62
% Current number of ordered equations: 13
% Current number of rules: 487
% New rule produced :
% [787]
% difference(quotient(B,C),quotient(quotient(quotient(B,C),quotient(difference(A,
% quotient(B,C)),
% quotient(B,C))),
% quotient(difference(B,quotient(quotient(B,C),
% quotient(difference(A,
% quotient(B,C)),
% quotient(B,C)))),quotient(
% quotient(B,C),
% quotient(
% difference(A,
% quotient(B,C)),
% quotient(B,C))))))
% <->
% quotient(quotient(A,quotient(difference(quotient(B,quotient(C,B)),A),A)),
% quotient(B,C))
% Current number of equations to process: 62
% Current number of ordered equations: 12
% Current number of rules: 488
% New rule produced :
% [788]
% difference(quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(difference(i(A),quotient(B,quotient(difference(quotient(V_3,
% quotient(difference(A,V_3),V_3)),B),B))),A))
% ->
% quotient(difference(C,quotient(V_3,quotient(difference(quotient(A,quotient(
% difference(B,A),A)),V_3),V_3))),
% quotient(A,quotient(difference(B,A),A)))
% Current number of equations to process: 60
% Current number of ordered equations: 12
% Current number of rules: 489
% New rule produced :
% [789]
% difference(B,quotient(difference(i(C),quotient(quotient(difference(C,B),
% quotient(difference(A,
% difference(C,B)),
% difference(C,B))),quotient(
% difference(C,
% quotient(
% difference(C,B),
% quotient(
% difference(A,
% difference(C,B)),
% difference(C,B)))),
% quotient(
% difference(C,B),
% quotient(
% difference(A,
% difference(C,B)),
% difference(C,B)))))),C))
% ->
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),difference(C,B)),C)
% Current number of equations to process: 59
% Current number of ordered equations: 12
% Current number of rules: 490
% New rule produced :
% [790]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% j(B)),A),A),A)))
% ->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% Rule
% [704]
% difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% j(B)),A),A),A))),
% quotient(difference(C,difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(
% quotient(B,
% j(B)),A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% j(B)),A),A),A))))))
% ->
% t(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(C,quotient(difference(difference(quotient(A,j(A)),quotient(A,
% quotient(quotient(
% difference(B,A),A),A))),C),C)))
% collapsed.
% Current number of equations to process: 71
% Current number of ordered equations: 6
% Current number of rules: 490
% New rule produced :
% [791]
% quotient(difference(B,quotient(difference(i(quotient(B,j(B))),A),quotient(B,
% j(B)))),
% quotient(A,quotient(B,j(B)))) ->
% quotient(quotient(quotient(quotient(difference(j(B),quotient(A,quotient(B,
% j(B)))),
% quotient(difference(B,difference(j(B),quotient(A,
% quotient(B,
% j(B))))),
% difference(j(B),quotient(A,quotient(B,j(B)))))),
% j(B)),quotient(B,j(B))),quotient(A,quotient(B,j(B))))
% Current number of equations to process: 83
% Current number of ordered equations: 6
% Current number of rules: 491
% New rule produced :
% [792]
% quotient(difference(quotient(A,B),quotient(A,quotient(difference(C,A),A))),
% quotient(difference(quotient(A,B),difference(quotient(A,B),quotient(A,
% quotient(difference(C,A),A)))),
% difference(quotient(A,B),quotient(A,quotient(difference(C,A),A))))) ->
% quotient(difference(i(B),quotient(quotient(C,quotient(difference(quotient(A,B),C),C)),
% quotient(quotient(quotient(difference(B,C),quotient(
% difference(A,
% difference(B,C)),
% difference(B,C))),B),
% quotient(C,quotient(difference(quotient(A,B),C),C))))),B)
% Current number of equations to process: 82
% Current number of ordered equations: 6
% Current number of rules: 492
% New rule produced :
% [793]
% quotient(quotient(A,quotient(difference(quotient(eta(B),quotient(i(B),eta(B))),A),A)),
% i(i(B))) <->
% difference(i(i(B)),quotient(quotient(eta(B),i(quotient(B,quotient(difference(A,B),B)))),
% quotient(difference(eta(B),quotient(B,quotient(difference(A,B),B))),
% quotient(B,quotient(difference(A,B),B)))))
% Current number of equations to process: 80
% Current number of ordered equations: 7
% Current number of rules: 493
% New rule produced :
% [794]
% difference(i(i(B)),quotient(quotient(eta(B),i(quotient(B,quotient(difference(A,B),B)))),
% quotient(difference(eta(B),quotient(B,quotient(difference(A,B),B))),
% quotient(B,quotient(difference(A,B),B))))) <->
% quotient(quotient(A,quotient(difference(quotient(eta(B),quotient(i(B),eta(B))),A),A)),
% i(i(B)))
% Current number of equations to process: 80
% Current number of ordered equations: 6
% Current number of rules: 494
% New rule produced :
% [795]
% quotient(quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A)),
% t(difference(C,quotient(quotient(C,quotient(difference(A,C),C)),quotient(
% difference(B,
% quotient(C,
% quotient(
% difference(A,C),C))),
% quotient(C,
% quotient(
% difference(A,C),C))))),C))
% ->
% t(t(quotient(quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A)),C),C),
% quotient(quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A)),C))
% Current number of equations to process: 78
% Current number of ordered equations: 5
% Current number of rules: 495
% New rule produced :
% [796]
% quotient(difference(t(B,C),quotient(difference(i(B),quotient(C,quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C))),B)),A)
% ->
% quotient(difference(t(B,C),quotient(quotient(t(B,C),quotient(difference(B,
% t(B,C)),
% t(B,C))),quotient(
% difference(A,
% quotient(
% t(B,C),quotient(
% difference(B,
% t(B,C)),
% t(B,C)))),
% quotient(
% t(B,C),quotient(
% difference(B,
% t(B,C)),
% t(B,C)))))),A)
% Current number of equations to process: 77
% Current number of ordered equations: 5
% Current number of rules: 496
% New rule produced :
% [797]
% difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))
% ->
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))
% Current number of equations to process: 75
% Current number of ordered equations: 5
% Current number of rules: 497
% New rule produced :
% [798]
% difference(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% i(A),quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B))),A))
% -> C
% Current number of equations to process: 74
% Current number of ordered equations: 5
% Current number of rules: 498
% New rule produced :
% [799]
% quotient(difference(i(A),quotient(quotient(eta(A),j(j(A))),quotient(difference(A,
% quotient(
% eta(A),
% j(
% j(A)))),
% quotient(eta(A),
% j(j(A)))))),A) ->
% eta(A)
% Current number of equations to process: 72
% Current number of ordered equations: 5
% Current number of rules: 499
% New rule produced :
% [800]
% quotient(difference(quotient(quotient(difference(i(A),quotient(quotient(
% quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
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% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(
% quotient(C,
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% quotient(A,quotient(
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% Current number of equations to process: 69
% Current number of ordered equations: 6
% Current number of rules: 500
% New rule produced :
% [801]
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% <->
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% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))))),
% difference(quotient(quotient(difference(i(A),quotient(quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))))
% Current number of equations to process: 69
% Current number of ordered equations: 5
% Current number of rules: 501
% New rule produced :
% [802]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(C,
% quotient(
% difference(
% i(B),A),B)),
% quotient(A,B)),A),A)))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A)))))
% Current number of equations to process: 68
% Current number of ordered equations: 6
% Current number of rules: 502
% New rule produced :
% [803]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A))))) <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(C,
% quotient(
% difference(
% i(B),A),B)),
% quotient(A,B)),A),A)))
% Current number of equations to process: 68
% Current number of ordered equations: 5
% Current number of rules: 503
% New rule produced :
% [804]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(j(A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(A,B),B)),A),A),A)))
% Current number of equations to process: 67
% Current number of ordered equations: 6
% Current number of rules: 504
% New rule produced :
% [805]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(A,B),B)),A),A),A)))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(j(A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% Current number of equations to process: 67
% Current number of ordered equations: 5
% Current number of rules: 505
% New rule produced :
% [806]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(C,A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(
% quotient(A,C),B),B)),A),A),A)))
% Current number of equations to process: 72
% Current number of ordered equations: 6
% Current number of rules: 506
% New rule produced :
% [807]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(
% quotient(A,C),B),B)),A),A),A)))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(C,A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% Current number of equations to process: 72
% Current number of ordered equations: 5
% Current number of rules: 507
% New rule produced :
% [808]
% quotient(difference(quotient(quotient(difference(i(A),quotient(quotient(
% quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))))),
% quotient(difference(difference(quotient(quotient(difference(i(A),quotient(
% quotient(
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(quotient(quotient(difference(
% i(A),quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),B),B)),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),B),B)),A)))),A),x1),
% quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))),difference(
% quotient(
% quotient(
% difference(
% i(A),quotient(
% quotient(
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
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% difference(quotient(quotient(difference(i(A),quotient(quotient(quotient(
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% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(C,
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% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))))
% <->
% difference(quotient(quotient(difference(i(A),quotient(quotient(quotient(
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% quotient(quotient(difference(
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% difference(A,B),B)),
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% difference(
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% quotient(
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% quotient(
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% quotient(A,
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% quotient(
% quotient(B,
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% difference(
% quotient(A,
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% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(
% quotient(C,
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% difference(V_3,C),C)),
% quotient(A,
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% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% Current number of equations to process: 67
% Current number of ordered equations: 8
% Current number of rules: 508
% New rule produced :
% [809]
% difference(quotient(quotient(difference(i(A),quotient(quotient(quotient(
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% difference(
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% quotient(C,
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% difference(V_3,C),C)),
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% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% <->
% quotient(difference(quotient(quotient(difference(i(A),quotient(quotient(
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% i(A),
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% Current number of equations to process: 67
% Current number of ordered equations: 7
% Current number of rules: 509
% New rule produced :
% [810]
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% Current number of equations to process: 67
% Current number of ordered equations: 6
% Current number of rules: 510
% New rule produced :
% [811]
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% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A),C),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))))),
% difference(quotient(quotient(difference(i(A),quotient(quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% quotient(quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A),C),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))))
% <->
% difference(quotient(quotient(difference(i(A),quotient(quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% Current number of equations to process: 67
% Current number of ordered equations: 5
% Current number of rules: 511
% New rule produced :
% [812]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% quotient(A,C),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(
% t(
% quotient(A,C),C),B),B)),A),A),A)))
% Current number of equations to process: 63
% Current number of ordered equations: 6
% Current number of rules: 512
% New rule produced :
% [813]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(
% t(
% quotient(A,C),C),B),B)),A),A),A)))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% quotient(A,C),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% Current number of equations to process: 63
% Current number of ordered equations: 5
% Current number of rules: 513
% New rule produced :
% [814]
% quotient(quotient(difference(i(A),quotient(difference(i(B),quotient(quotient(
% quotient(
% eta(
% quotient(A,
% quotient(
% difference(B,A),A))),
% i(C)),
% quotient(
% difference(A,C),C)),
% quotient(difference(B,
% quotient(
% quotient(
% eta(
% quotient(A,
% quotient(
% difference(B,A),A))),
% i(C)),
% quotient(
% difference(A,C),C))),
% quotient(quotient(
% eta(
% quotient(A,
% quotient(
% difference(B,A),A))),
% i(C)),
% quotient(difference(A,C),C))))),B)),A),C)
% -> j(j(quotient(A,quotient(difference(B,A),A))))
% Current number of equations to process: 62
% Current number of ordered equations: 5
% Current number of rules: 514
% New rule produced :
% [815]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(
% t(
% quotient(A,B),B),
% quotient(
% difference(C,
% t(
% quotient(A,B),B)),
% t(
% quotient(A,B),B))),A),A),A)))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(A,B),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(A,B),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(A,B),A),A)))))
% Current number of equations to process: 60
% Current number of ordered equations: 6
% Current number of rules: 515
% New rule produced :
% [816]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(A,B),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(A,B),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(A,B),A),A)))))
% <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(
% t(
% quotient(A,B),B),
% quotient(
% difference(C,
% t(
% quotient(A,B),B)),
% t(
% quotient(A,B),B))),A),A),A)))
% Current number of equations to process: 60
% Current number of ordered equations: 5
% Current number of rules: 516
% New rule produced :
% [817]
% quotient(quotient(difference(i(A),quotient(B,quotient(difference(quotient(C,
% quotient(
% difference(A,C),C)),B),B))),A),
% quotient(difference(V_3,quotient(difference(i(A),quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B))),A)),
% quotient(difference(i(A),quotient(B,quotient(difference(quotient(C,quotient(
% difference(A,C),C)),B),B))),A)))
% <->
% quotient(difference(i(quotient(A,quotient(difference(B,A),A))),quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),V_3),V_3)),C),C))),
% quotient(A,quotient(difference(B,A),A)))
% Current number of equations to process: 59
% Current number of ordered equations: 6
% Current number of rules: 517
% New rule produced :
% [818]
% quotient(difference(i(quotient(A,quotient(difference(B,A),A))),quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),V_3),V_3)),C),C))),
% quotient(A,quotient(difference(B,A),A))) <->
% quotient(quotient(difference(i(A),quotient(B,quotient(difference(quotient(C,
% quotient(
% difference(A,C),C)),B),B))),A),
% quotient(difference(V_3,quotient(difference(i(A),quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B))),A)),
% quotient(difference(i(A),quotient(B,quotient(difference(quotient(C,quotient(
% difference(A,C),C)),B),B))),A)))
% Current number of equations to process: 59
% Current number of ordered equations: 5
% Current number of rules: 518
% New rule produced :
% [819]
% quotient(difference(quotient(quotient(difference(i(A),quotient(quotient(
% quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
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% quotient(
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% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(
% difference(C,
% quotient(A,
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% difference(B,A),A))),
% quotient(A,
% quotient(
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% quotient(A,
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% difference(quotient(quotient(difference(i(A),quotient(quotient(quotient(
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% quotient(difference(quotient(x1,
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% difference(
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% difference(
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% quotient(quotient(difference(
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% quotient(
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% quotient(
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% difference(
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% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(C,
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% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))))
% <->
% difference(quotient(quotient(difference(i(A),quotient(quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
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% quotient(
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% quotient(
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% quotient(difference(quotient(x1,
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% difference(
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% difference(
% quotient(A,
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% difference(
% quotient(A,
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% quotient(
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% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
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% quotient(
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% quotient(B,
% quotient(
% difference(
% quotient(A,
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% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
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% difference(
% quotient(A,
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% quotient(
% difference(
% quotient(x1,
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% difference(A,x1),x1)),
% quotient(
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% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
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% difference(A,B),B)),
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% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
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% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
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% difference(
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% difference(A,B),B)),
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% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% Current number of equations to process: 55
% Current number of ordered equations: 8
% Current number of rules: 519
% New rule produced :
% [820]
% difference(quotient(quotient(difference(i(A),quotient(quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
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% i(A),
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% quotient(A,
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% difference(A,B),B)),
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% difference(
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% quotient(
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% difference(
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% difference(
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% quotient(difference(quotient(x1,
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% difference(A,x1),x1)),
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% difference(A,x1),x1)),
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% difference(
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% quotient(
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% difference(
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% quotient(
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% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(difference(
% i(B),quotient(
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% i(A),
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% quotient(A,
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% difference(A,B),B)),
% quotient(
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% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
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% difference(
% quotient(A,
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% quotient(
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% quotient(x1,
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% difference(A,x1),x1)),
% quotient(
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% difference(
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% difference(A,B),B)),
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% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
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% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
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% difference(
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% quotient(
% difference(
% quotient(B,
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% difference(A,B),B)),
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% quotient(B,
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% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% <->
% quotient(difference(quotient(quotient(difference(i(A),quotient(quotient(
% quotient(
% difference(
% i(B),quotient(
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% i(A),
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% quotient(
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% quotient(A,
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% quotient(
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% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
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% quotient(A,
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% quotient(
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% i(B),quotient(
% quotient(A,
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% difference(B,A),A)),
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% quotient(A,
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% difference(quotient(quotient(difference(i(A),quotient(quotient(
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% quotient(quotient(
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% difference(
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% difference(A,x1),x1)),
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% difference(
% quotient(A,
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% quotient(
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% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(
% difference(C,
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% difference(B,A),A))),
% quotient(A,
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% quotient(A,
% quotient(difference(B,A),A)))))),
% difference(quotient(quotient(difference(i(A),quotient(quotient(quotient(
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% quotient(difference(quotient(x1,
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% difference(
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% difference(
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% difference(A,B),B)),
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% difference(
% quotient(A,
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% quotient(
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% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(difference(
% i(B),quotient(
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% difference(
% i(A),
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% difference(A,B),B)),
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% difference(
% quotient(A,
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% quotient(
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% difference(
% quotient(A,
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% quotient(
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% quotient(x1,
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% difference(
% quotient(A,
% j(A)),B),B)),A),
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% difference(A,B),B)),
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% difference(
% quotient(A,
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% difference(
% quotient(A,
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% quotient(
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% difference(
% quotient(A,
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% difference(
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% difference(A,B),B)),
% quotient(
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% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
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% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))))
% Current number of equations to process: 55
% Current number of ordered equations: 7
% Current number of rules: 520
% New rule produced :
% [821]
% difference(quotient(quotient(difference(i(A),quotient(quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
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% quotient(A,
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% difference(A,B),B)),
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% difference(
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% quotient(
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% difference(A,x1),x1)),
% quotient(
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% difference(
% quotient(A,
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% quotient(
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% quotient(
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% difference(
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% quotient(
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% quotient(difference(quotient(x1,
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% difference(A,x1),x1)),
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% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
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% quotient(
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% difference(
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% quotient(
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% difference(
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% quotient(
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% difference(
% quotient(A,
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% quotient(
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% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(difference(
% i(B),quotient(
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% i(A),
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% quotient(A,
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% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
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% quotient(A,
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% quotient(
% difference(
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% quotient(
% difference(A,x1),x1)),
% quotient(
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% quotient(B,
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% difference(
% quotient(A,
% j(A)),B),B)),A),
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% quotient(B,
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% difference(A,B),B)),
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% difference(
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% j(A)),B),B)),A)),
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% difference(
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% quotient(
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% difference(A,B),B)),
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% difference(
% quotient(A,
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% quotient(
% quotient(B,
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% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% <->
% quotient(difference(quotient(quotient(difference(i(A),quotient(quotient(
% quotient(
% difference(
% i(B),quotient(
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% i(A),
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% quotient(
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% difference(
% quotient(A,
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% quotient(
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% quotient(
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% quotient(A,
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% difference(A,B),B)),
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% quotient(
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% difference(
% quotient(A,
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% quotient(
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% difference(
% quotient(A,
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% quotient(
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% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
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% difference(
% i(B),quotient(
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% difference(
% i(A),
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% difference(
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% difference(A,B),B)),
% quotient(
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% difference(
% quotient(A,
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% quotient(
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% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
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% quotient(x1,
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% difference(A,x1),x1)),
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% quotient(A,
% j(A)),B),B)),A),
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% difference(A,B),B)),
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% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
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% difference(
% quotient(A,
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% quotient(
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% difference(
% quotient(A,
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% quotient(
% difference(
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% difference(A,B),B)),
% quotient(
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% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
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% Current number of equations to process: 55
% Current number of ordered equations: 6
% Current number of rules: 521
% New rule produced :
% [822]
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% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(A,
% quotient(
% difference(B,A),A))),B)))),
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B)),C),A)),
% quotient(quotient(quotient(difference(
% i(quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(A,
% quotient(
% difference(B,A),A))),B),
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B),C),C)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(A,
% quotient(
% difference(B,A),A))),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(A,
% quotient(
% difference(B,A),A))),B)))),
% quotient(difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B)),C),A)))),A),C))))
% <->
% difference(quotient(quotient(difference(i(A),quotient(quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% Current number of equations to process: 55
% Current number of ordered equations: 5
% Current number of rules: 522
% New rule produced :
% [823]
% quotient(quotient(A,quotient(difference(quotient(B,quotient(quotient(B,C),B)),A),A)),
% t(quotient(B,C),C)) <->
% difference(t(quotient(B,C),C),quotient(quotient(t(quotient(B,C),C),quotient(
% difference(A,
% t(
% quotient(B,C),C)),
% t(
% quotient(B,C),C))),
% quotient(difference(B,quotient(t(quotient(B,C),C),
% quotient(difference(A,
% t(quotient(B,C),C)),
% t(quotient(B,C),C)))),
% quotient(t(quotient(B,C),C),quotient(difference(A,
% t(
% quotient(B,C),C)),
% t(quotient(B,C),C))))))
% Current number of equations to process: 55
% Current number of ordered equations: 4
% Current number of rules: 523
% New rule produced :
% [824]
% difference(t(quotient(B,C),C),quotient(quotient(t(quotient(B,C),C),quotient(
% difference(A,
% t(
% quotient(B,C),C)),
% t(
% quotient(B,C),C))),
% quotient(difference(B,quotient(t(quotient(B,C),C),
% quotient(difference(A,
% t(quotient(B,C),C)),
% t(quotient(B,C),C)))),
% quotient(t(quotient(B,C),C),quotient(difference(A,
% t(
% quotient(B,C),C)),
% t(quotient(B,C),C))))))
% <->
% quotient(quotient(A,quotient(difference(quotient(B,quotient(quotient(B,C),B)),A),A)),
% t(quotient(B,C),C))
% Current number of equations to process: 55
% Current number of ordered equations: 3
% Current number of rules: 524
% New rule produced :
% [825]
% quotient(difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% quotient(quotient(difference(C,difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))),
% quotient(difference(difference(quotient(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(
% quotient(B,
% quotient(
% quotient(
% difference(V_3,B),B),B)),A),A),A)))),
% difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% quotient(quotient(difference(C,difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))))),
% difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(quotient(difference(C,difference(quotient(A,j(A)),quotient(A,
% quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))))))
% <->
% difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(quotient(difference(quotient(C,quotient(difference(difference(
% quotient(A,
% j(A)),quotient(A,
% quotient(
% quotient(
% difference(V_3,A),A),A))),C),C)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))))
% Current number of equations to process: 49
% Current number of ordered equations: 6
% Current number of rules: 525
% New rule produced :
% [826]
% quotient(difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% quotient(
% difference(C,B),B),B)),A),A),A)))),
% quotient(difference(difference(quotient(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A))))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))),
% quotient(quotient(difference(V_3,difference(quotient(A,
% j(A)),
% quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A)))))),
% difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% quotient(
% difference(C,B),B),B)),A),A),A))))),
% difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% quotient(
% difference(C,B),B),B)),A),A),A))))))
% <->
% difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(quotient(difference(quotient(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(C,A),A),A))),
% quotient(difference(V_3,difference(quotient(A,
% j(A)),
% quotient(A,quotient(
% quotient(
% difference(C,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(C,A),A),A))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))))
% Current number of equations to process: 49
% Current number of ordered equations: 5
% Current number of rules: 526
% New rule produced :
% [827]
% difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(quotient(difference(quotient(C,quotient(difference(difference(
% quotient(A,
% j(A)),quotient(A,
% quotient(
% quotient(
% difference(V_3,A),A),A))),C),C)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))))
% <->
% quotient(difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% quotient(quotient(difference(C,difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))),
% quotient(difference(difference(quotient(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(
% quotient(B,
% quotient(
% quotient(
% difference(V_3,B),B),B)),A),A),A)))),
% difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% quotient(quotient(difference(C,difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))))),
% difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(quotient(difference(C,difference(quotient(A,j(A)),quotient(A,
% quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))))))
% Current number of equations to process: 49
% Current number of ordered equations: 4
% Current number of rules: 527
% New rule produced :
% [828]
% difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(quotient(difference(quotient(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(C,A),A),A))),
% quotient(difference(V_3,difference(quotient(A,
% j(A)),
% quotient(A,quotient(
% quotient(
% difference(C,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(C,A),A),A))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))))
% <->
% quotient(difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% quotient(
% difference(C,B),B),B)),A),A),A)))),
% quotient(difference(difference(quotient(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A))))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))),
% quotient(quotient(difference(V_3,difference(quotient(A,
% j(A)),
% quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A)))))),
% difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% quotient(
% difference(C,B),B),B)),A),A),A))))),
% difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% quotient(
% difference(C,B),B),B)),A),A),A))))))
% Current number of equations to process: 49
% Current number of ordered equations: 3
% Current number of rules: 528
% New rule produced :
% [829]
% quotient(quotient(quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(quotient(quotient(B,quotient(difference(quotient(C,
% quotient(difference(A,C),C)),B),B)),A),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A)))))),A)
% ->
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(C,
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% Current number of equations to process: 49
% Current number of ordered equations: 2
% Current number of rules: 529
% New rule produced :
% [830]
% difference(quotient(j(j(quotient(A,quotient(difference(B,A),A)))),quotient(
% difference(A,
% j(j(
% quotient(A,
% quotient(
% difference(B,A),A))))),
% j(j(
% quotient(A,
% quotient(
% difference(B,A),A)))))),
% quotient(j(j(quotient(A,quotient(difference(B,A),A)))),quotient(eta(quotient(A,
% quotient(
% difference(B,A),A))),
% j(j(quotient(A,
% quotient(difference(B,A),A)))))))
% ->
% quotient(quotient(difference(quotient(difference(B,A),A),quotient(j(j(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(eta(
% quotient(A,
% quotient(
% difference(B,A),A))),
% j(j(quotient(A,
% quotient(
% difference(B,A),A))))))),
% quotient(A,quotient(difference(B,A),A))),j(j(quotient(A,quotient(
% difference(B,A),A)))))
% Current number of equations to process: 46
% Current number of ordered equations: 2
% Current number of rules: 530
% New rule produced :
% [831]
% quotient(quotient(C,quotient(difference(quotient(A,quotient(quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,quotient(difference(B,A),A))) <->
% difference(quotient(A,quotient(difference(B,A),A)),quotient(quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))))
% Current number of equations to process: 45
% Current number of ordered equations: 1
% Current number of rules: 531
% New rule produced :
% [832]
% difference(quotient(A,quotient(difference(B,A),A)),quotient(quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))))
% <->
% quotient(quotient(C,quotient(difference(quotient(A,quotient(quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,quotient(difference(B,A),A)))
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 532
% New rule produced :
% [833]
% quotient(difference(quotient(i(A),A),quotient(i(A),quotient(quotient(
% difference(B,
% i(A)),i(A)),
% i(A)))),quotient(difference(
% difference(
% quotient(
% i(A),A),
% quotient(
% i(A),
% quotient(
% quotient(
% difference(C,
% i(A)),
% i(A)),
% i(A)))),
% difference(
% quotient(
% i(A),A),
% quotient(
% i(A),
% quotient(
% quotient(
% difference(B,
% i(A)),
% i(A)),
% i(A))))),
% difference(
% quotient(i(A),A),
% quotient(i(A),
% quotient(quotient(
% difference(B,
% i(A)),
% i(A)),
% i(A)))))) <->
% difference(quotient(i(A),A),quotient(i(A),quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% i(A)),i(A)),
% i(A))))
% Current number of equations to process: 44
% Current number of ordered equations: 1
% Current number of rules: 533
% New rule produced :
% [834]
% difference(quotient(i(A),A),quotient(i(A),quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% i(A)),i(A)),
% i(A)))) <->
% quotient(difference(quotient(i(A),A),quotient(i(A),quotient(quotient(
% difference(B,
% i(A)),i(A)),
% i(A)))),quotient(difference(
% difference(
% quotient(
% i(A),A),
% quotient(
% i(A),
% quotient(
% quotient(
% difference(C,
% i(A)),
% i(A)),
% i(A)))),
% difference(
% quotient(
% i(A),A),
% quotient(
% i(A),
% quotient(
% quotient(
% difference(B,
% i(A)),
% i(A)),
% i(A))))),
% difference(
% quotient(i(A),A),
% quotient(i(A),
% quotient(quotient(
% difference(B,
% i(A)),
% i(A)),
% i(A))))))
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 534
% New rule produced :
% [835]
% quotient(difference(B,quotient(difference(i(quotient(B,quotient(difference(C,B),B))),A),
% quotient(B,quotient(difference(C,B),B)))),quotient(A,
% quotient(B,
% quotient(
% difference(C,B),B))))
% ->
% quotient(quotient(quotient(quotient(difference(quotient(difference(C,B),B),
% quotient(A,quotient(B,quotient(difference(C,B),B)))),
% quotient(difference(B,difference(quotient(
% difference(C,B),B),
% quotient(A,quotient(B,
% quotient(
% difference(C,B),B))))),
% difference(quotient(difference(C,B),B),quotient(A,
% quotient(B,
% quotient(
% difference(C,B),B)))))),
% quotient(difference(C,B),B)),quotient(B,quotient(difference(C,B),B))),
% quotient(A,quotient(B,quotient(difference(C,B),B))))
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 535
% New rule produced :
% [836]
% quotient(quotient(eta(A),j(eta(A))),quotient(difference(B,quotient(eta(A),
% j(eta(A)))),
% quotient(eta(A),j(eta(A))))) <->
% quotient(difference(i(i(A)),quotient(difference(i(A),quotient(quotient(
% quotient(
% eta(A),
% i(B)),quotient(
% difference(
% i(A),B),B)),
% quotient(quotient(
% difference(A,
% quotient(
% quotient(
% eta(A),
% i(B)),quotient(
% difference(
% eta(A),B),B))),A),
% quotient(quotient(
% eta(A),
% i(B)),quotient(
% difference(
% i(A),B),B))))),A)),
% i(A))
% Current number of equations to process: 42
% Current number of ordered equations: 1
% Current number of rules: 536
% New rule produced :
% [837]
% quotient(difference(i(i(A)),quotient(difference(i(A),quotient(quotient(
% quotient(
% eta(A),
% i(B)),quotient(
% difference(
% i(A),B),B)),
% quotient(quotient(
% difference(A,
% quotient(
% quotient(
% eta(A),
% i(B)),quotient(
% difference(
% eta(A),B),B))),A),
% quotient(quotient(
% eta(A),
% i(B)),quotient(
% difference(
% i(A),B),B))))),A)),
% i(A)) <->
% quotient(quotient(eta(A),j(eta(A))),quotient(difference(B,quotient(eta(A),
% j(eta(A)))),
% quotient(eta(A),j(eta(A)))))
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 537
% New rule produced :
% [838]
% quotient(difference(i(difference(quotient(A,j(A)),quotient(A,quotient(j(A),A)))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(
% j(A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))),
% difference(quotient(A,j(A)),quotient(A,quotient(j(A),A)))) ->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(B,A),A),A),A)))
% Current number of equations to process: 41
% Current number of ordered equations: 0
% Current number of rules: 538
% New rule produced :
% [839]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% eta(A)),
% eta(A)),
% eta(A)))) <->
% quotient(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))),
% quotient(difference(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),
% quotient(i(A),
% eta(A)))),difference(
% quotient(
% eta(A),
% j(
% eta(A))),
% quotient(
% eta(A),
% quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A))))),
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A))))))
% Current number of equations to process: 40
% Current number of ordered equations: 1
% Current number of rules: 539
% New rule produced :
% [840]
% quotient(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))),
% quotient(difference(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),
% quotient(i(A),
% eta(A)))),difference(
% quotient(
% eta(A),
% j(
% eta(A))),
% quotient(
% eta(A),
% quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A))))),
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))))) <->
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% eta(A)),
% eta(A)),
% eta(A))))
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 540
% Rule [627]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(
% eta(A),B),B)),A),A),A)))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(
% difference(
% j(j(A)),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))) is composed into
% [627]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(
% eta(A),B),B)),A),A),A)))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(quotient(quotient(quotient(difference(A,j(j(A))),
% quotient(difference(quotient(A,j(A)),
% difference(A,j(j(A)))),
% difference(A,j(j(A))))),A),A),difference(
% quotient(A,
% j(A)),
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% New rule produced :
% [841]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(difference(C,A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(quotient(quotient(quotient(difference(A,C),quotient(
% difference(
% quotient(A,
% j(A)),
% difference(A,C)),
% difference(A,C))),A),A),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% Rule
% [626]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(difference(
% j(
% j(A)),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(
% eta(A),B),B)),A),A),A)))
% collapsed.
% Current number of equations to process: 40
% Current number of ordered equations: 1
% Current number of rules: 540
% New rule produced :
% [842]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(
% eta(A),B),B)),A),A),A)))
% ->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(quotient(quotient(quotient(eta(A),i(quotient(A,j(A)))),A),A),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% Rule
% [627]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(
% eta(A),B),B)),A),A),A)))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(quotient(quotient(quotient(difference(A,j(j(A))),
% quotient(difference(quotient(A,j(A)),
% difference(A,j(j(A)))),
% difference(A,j(j(A))))),A),A),difference(
% quotient(A,
% j(A)),
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% collapsed.
% Current number of equations to process: 39
% Current number of ordered equations: 1
% Current number of rules: 540
% New rule produced :
% [843]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(quotient(quotient(quotient(difference(A,C),quotient(
% difference(
% quotient(A,
% j(A)),
% difference(A,C)),
% difference(A,C))),A),A),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(difference(C,A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 541
% New rule produced :
% [844]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(
% quotient(B,
% quotient(
% difference(
% i(A),B),B)),
% eta(A)),
% eta(A)),
% eta(A)))) <->
% quotient(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))),
% quotient(difference(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),
% quotient(quotient(A,
% eta(A)),
% eta(A)))),difference(
% quotient(
% eta(A),
% j(
% eta(A))),
% quotient(
% eta(A),
% quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A))))),
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A))))))
% Current number of equations to process: 38
% Current number of ordered equations: 1
% Current number of rules: 542
% New rule produced :
% [845]
% quotient(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))),
% quotient(difference(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),
% quotient(quotient(A,
% eta(A)),
% eta(A)))),difference(
% quotient(
% eta(A),
% j(
% eta(A))),
% quotient(
% eta(A),
% quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A))))),
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))))) <->
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(
% quotient(B,
% quotient(
% difference(
% i(A),B),B)),
% eta(A)),
% eta(A)),
% eta(A))))
% Current number of equations to process: 38
% Current number of ordered equations: 0
% Current number of rules: 543
% New rule produced :
% [846]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(
% quotient(B,
% quotient(
% difference(
% i(i(A)),B),B)),
% eta(A)),
% eta(A)),
% eta(A)))) <->
% quotient(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))),
% quotient(difference(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),
% quotient(quotient(
% i(A),
% eta(A)),
% eta(A)))),difference(
% quotient(
% eta(A),
% j(
% eta(A))),
% quotient(
% eta(A),
% quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A))))),
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A))))))
% Current number of equations to process: 37
% Current number of ordered equations: 1
% Current number of rules: 544
% New rule produced :
% [847]
% quotient(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))),
% quotient(difference(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),
% quotient(quotient(
% i(A),
% eta(A)),
% eta(A)))),difference(
% quotient(
% eta(A),
% j(
% eta(A))),
% quotient(
% eta(A),
% quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A))))),
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))))) <->
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(
% quotient(B,
% quotient(
% difference(
% i(i(A)),B),B)),
% eta(A)),
% eta(A)),
% eta(A))))
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 545
% New rule produced :
% [848]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% quotient(B,C),B)),A),A),A)))
% <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(
% t(quotient(B,C),C),
% quotient(
% difference(
% i(difference(B,A)),A),
% difference(B,A))),B),A),A)))
% Current number of equations to process: 38
% Current number of ordered equations: 1
% Current number of rules: 546
% New rule produced :
% [849]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(
% t(quotient(B,C),C),
% quotient(
% difference(
% i(difference(B,A)),A),
% difference(B,A))),B),A),A)))
% <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% quotient(B,C),B)),A),A),A)))
% Current number of equations to process: 38
% Current number of ordered equations: 0
% Current number of rules: 547
% New rule produced :
% [850]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(
% i(B),
% quotient(
% difference(
% i(difference(
% eta(B),A)),A),
% difference(
% eta(B),A))),
% eta(B)),A),A))) ->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(
% eta(B),
% quotient(B,
% eta(B))),A),A),A)))
% Current number of equations to process: 41
% Current number of ordered equations: 0
% Current number of rules: 548
% New rule produced :
% [851]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(C,B)),A),A),A)))
% <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(
% quotient(B,C),
% quotient(
% difference(
% i(difference(B,A)),A),
% difference(B,A))),B),A),A)))
% Current number of equations to process: 42
% Current number of ordered equations: 1
% Current number of rules: 549
% New rule produced :
% [852]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(
% quotient(B,C),
% quotient(
% difference(
% i(difference(B,A)),A),
% difference(B,A))),B),A),A)))
% <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(C,B)),A),A),A)))
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 550
% New rule produced :
% [853]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(
% i(i(B)),
% quotient(
% difference(
% i(difference(
% eta(B),A)),A),
% difference(
% eta(B),A))),
% eta(B)),A),A))) ->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(
% eta(B),
% quotient(
% i(B),
% eta(B))),A),A),A)))
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 551
% New rule produced :
% [854]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% eta(B),A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% eta(B),A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(eta(B),A),A),A)))))
% ->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(i(i(B)),A),A),A)))
% Current number of equations to process: 48
% Current number of ordered equations: 0
% Current number of rules: 552
% New rule produced :
% [855]
% t(quotient(A,j(A)),quotient(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(C,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))))))
% <->
% quotient(quotient(A,quotient(quotient(difference(quotient(B,quotient(
% difference(C,B),B)),A),A),A)),
% quotient(A,j(A)))
% Current number of equations to process: 47
% Current number of ordered equations: 1
% Current number of rules: 553
% New rule produced :
% [856]
% quotient(quotient(A,quotient(quotient(difference(quotient(B,quotient(
% difference(C,B),B)),A),A),A)),
% quotient(A,j(A))) <->
% t(quotient(A,j(A)),quotient(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(C,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))))))
% Current number of equations to process: 47
% Current number of ordered equations: 0
% Current number of rules: 554
% New rule produced :
% [857]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% j(j(B)),A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% j(j(B)),A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(j(j(B)),A),A),A)))))
% ->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(
% j(
% j(B)),
% quotient(
% eta(B),
% j(
% j(B)))),A),A),A)))
% Current number of equations to process: 46
% Current number of ordered equations: 0
% Current number of rules: 555
% New rule produced :
% [858]
% quotient(quotient(A,quotient(quotient(difference(quotient(B,quotient(
% difference(C,B),B)),A),A),A)),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))))
% -> quotient(A,j(A))
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 556
% New rule produced :
% [859]
% difference(quotient(quotient(A,quotient(difference(B,A),A)),j(quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(quotient(
% difference(B,
% quotient(
% difference(
% i(B),
% quotient(A,
% quotient(
% difference(B,A),A))),B)),A),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% ->
% difference(quotient(quotient(A,quotient(difference(B,A),A)),j(quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(j(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 557
% New rule produced :
% [860]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% t(eta(B),C),A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(
% t(
% eta(B),V_3),A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% t(eta(B),C),A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(t(
% eta(B),C),A),A),A)))))
% <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(t(
% eta(B),
% quotient(C,
% quotient(
% difference(V_3,C),C))),A),A),A)))
% Current number of equations to process: 43
% Current number of ordered equations: 1
% Current number of rules: 558
% New rule produced :
% [861]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(t(
% eta(B),
% quotient(C,
% quotient(
% difference(V_3,C),C))),A),A),A)))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% t(eta(B),C),A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(
% t(
% eta(B),V_3),A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% t(eta(B),C),A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(t(
% eta(B),C),A),A),A)))))
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 559
% Rule [857]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(
% j(j(B)),A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(
% j(j(B)),A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% j(j(B)),A),A),A)))))
% ->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(
% j(j(B)),
% quotient(
% eta(B),
% j(j(B)))),A),A),A))) is composed into
% [857]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% j(j(B)),A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% j(j(B)),A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(j(j(B)),A),A),A)))))
% ->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(
% j(
% j(B)),
% j(B)),A),A),A)))
% Rule [735]
% difference(B,quotient(quotient(B,quotient(difference(A,B),B)),quotient(
% difference(
% eta(B),A),
% quotient(B,
% quotient(
% difference(A,B),B)))))
% <->
% quotient(quotient(A,quotient(difference(quotient(j(j(B)),quotient(
% eta(B),
% j(j(B)))),A),A)),B) is composed into
% [735]
% difference(B,quotient(quotient(B,quotient(difference(A,B),B)),quotient(
% difference(
% eta(B),A),
% quotient(B,
% quotient(
% difference(A,B),B)))))
% <-> quotient(quotient(A,quotient(difference(quotient(j(j(B)),j(B)),A),A)),B)
% Rule [506]
% quotient(difference(i(A),quotient(eta(A),i(quotient(A,j(A))))),A) ->
% quotient(j(j(A)),quotient(eta(A),j(j(A)))) is composed into [506]
% quotient(
% difference(
% i(A),
% quotient(
% eta(A),
% i(quotient(A,
% j(A))))),A)
% ->
% quotient(
% j(j(A)),
% j(A))
% New rule produced : [862] quotient(eta(A),j(j(A))) -> j(A)
% Rule [315] quotient(quotient(j(j(A)),quotient(eta(A),j(j(A)))),A) -> j(j(A))
% collapsed.
% Rule
% [684]
% quotient(i(i(A)),difference(quotient(j(j(A)),quotient(eta(A),j(j(A)))),A)) ->
% quotient(A,j(A)) collapsed.
% Rule
% [699]
% quotient(difference(i(i(B)),quotient(quotient(quotient(i(i(B)),difference(
% i(i(B)),B)),
% difference(quotient(j(j(B)),quotient(
% eta(B),
% j(j(B)))),
% i(i(B)))),quotient(difference(A,
% quotient(quotient(
% i(i(B)),
% difference(
% i(i(B)),B)),
% difference(quotient(
% j(
% j(B)),
% quotient(
% eta(B),
% j(
% j(B)))),
% i(i(B))))),quotient(
% quotient(
% i(
% i(B)),
% difference(
% i(
% i(B)),B)),
% difference(
% quotient(
% j(
% j(B)),
% quotient(
% eta(B),
% j(
% j(B)))),
% i(
% i(B))))))),A)
% -> quotient(t(i(i(B)),quotient(A,quotient(difference(i(i(B)),A),A))),A)
% collapsed.
% Rule
% [734]
% quotient(quotient(A,quotient(difference(quotient(j(j(B)),quotient(eta(B),
% j(j(B)))),A),A)),B)
% <->
% difference(B,quotient(quotient(B,quotient(difference(A,B),B)),quotient(
% difference(
% eta(B),A),
% quotient(B,
% quotient(
% difference(A,B),B)))))
% collapsed.
% Rule
% [745]
% difference(quotient(j(j(A)),quotient(eta(A),j(j(A)))),quotient(j(j(A)),
% quotient(quotient(
% difference(B,
% i(i(A))),A),
% j(j(A))))) ->
% quotient(quotient(quotient(B,quotient(difference(quotient(j(j(A)),quotient(
% eta(A),
% j(j(A)))),B),B)),A),
% j(j(A))) collapsed.
% Rule
% [780]
% difference(i(i(A)),quotient(eta(A),i(quotient(quotient(j(j(A)),quotient(
% eta(A),
% j(j(A)))),
% quotient(difference(B,quotient(j(j(A)),
% quotient(eta(A),
% j(j(A))))),
% quotient(j(j(A)),quotient(eta(A),
% j(j(A))))))))) ->
% t(i(i(A)),quotient(B,quotient(difference(i(i(A)),B),B))) collapsed.
% Rule
% [799]
% quotient(difference(i(A),quotient(quotient(eta(A),j(j(A))),quotient(difference(A,
% quotient(
% eta(A),
% j(
% j(A)))),
% quotient(eta(A),
% j(j(A)))))),A) ->
% eta(A) collapsed.
% Rule
% [830]
% difference(quotient(j(j(quotient(A,quotient(difference(B,A),A)))),quotient(
% difference(A,
% j(j(
% quotient(A,
% quotient(
% difference(B,A),A))))),
% j(j(
% quotient(A,
% quotient(
% difference(B,A),A)))))),
% quotient(j(j(quotient(A,quotient(difference(B,A),A)))),quotient(eta(quotient(A,
% quotient(
% difference(B,A),A))),
% j(j(quotient(A,
% quotient(difference(B,A),A)))))))
% ->
% quotient(quotient(difference(quotient(difference(B,A),A),quotient(j(j(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(eta(
% quotient(A,
% quotient(
% difference(B,A),A))),
% j(j(quotient(A,
% quotient(
% difference(B,A),A))))))),
% quotient(A,quotient(difference(B,A),A))),j(j(quotient(A,quotient(
% difference(B,A),A)))))
% collapsed.
% Current number of equations to process: 60
% Current number of ordered equations: 0
% Current number of rules: 552
% New rule produced : [863] difference(j(A),eta(A)) -> j(j(A))
% Rule
% [496] quotient(quotient(eta(A),j(eta(A))),difference(j(A),eta(A))) -> i(A)
% collapsed.
% Current number of equations to process: 61
% Current number of ordered equations: 0
% Current number of rules: 552
% New rule produced : [864] quotient(j(j(j(A))),eta(A)) -> j(A)
% Current number of equations to process: 60
% Current number of ordered equations: 0
% Current number of rules: 553
% New rule produced : [865] quotient(quotient(j(j(A)),j(A)),A) -> j(j(A))
% Current number of equations to process: 59
% Current number of ordered equations: 0
% Current number of rules: 554
% New rule produced :
% [866]
% quotient(i(i(A)),difference(quotient(j(j(A)),j(A)),A)) -> quotient(A,j(A))
% Current number of equations to process: 58
% Current number of ordered equations: 0
% Current number of rules: 555
% New rule produced :
% [867]
% difference(quotient(j(j(A)),j(A)),quotient(j(j(A)),quotient(quotient(
% difference(B,
% i(i(A))),A),
% j(j(A))))) ->
% quotient(quotient(quotient(B,quotient(difference(quotient(j(j(A)),j(A)),B),B)),A),
% j(j(A)))
% Current number of equations to process: 56
% Current number of ordered equations: 0
% Current number of rules: 556
% New rule produced :
% [868]
% difference(i(i(A)),quotient(eta(A),i(quotient(quotient(j(j(A)),j(A)),
% quotient(difference(B,quotient(j(j(A)),
% j(A))),quotient(
% j(j(A)),
% j(A)))))))
% -> t(i(i(A)),quotient(B,quotient(difference(i(i(A)),B),B)))
% Current number of equations to process: 55
% Current number of ordered equations: 0
% Current number of rules: 557
% Rule [579]
% difference(i(A),quotient(quotient(eta(A),i(quotient(eta(eta(A)),i(i(A))))),
% i(A))) -> difference(i(A),j(j(eta(A)))) is composed into
% [579]
% difference(i(A),quotient(quotient(eta(A),i(quotient(eta(eta(A)),i(i(A))))),
% i(A))) -> difference(i(A),eta(A))
% New rule produced : [869] j(j(eta(A))) -> eta(A)
% Rule [308] quotient(t(eta(A),B),j(j(eta(A)))) -> t(eta(A),quotient(B,eta(A)))
% collapsed.
% Rule [309] quotient(j(j(eta(A))),t(eta(A),B)) -> t(eta(A),quotient(eta(A),B))
% collapsed.
% Rule
% [312] difference(t(eta(A),B),j(j(eta(A)))) -> t(eta(A),difference(B,eta(A)))
% collapsed.
% Rule [313] difference(j(j(eta(A))),t(eta(A),B)) -> quotient(B,eta(A))
% collapsed.
% Current number of equations to process: 55
% Current number of ordered equations: 0
% Current number of rules: 554
% Rule [567]
% quotient(difference(i(i(A)),t(A,eta(A))),i(A)) ->
% quotient(quotient(difference(j(eta(A)),x1),quotient(difference(eta(
% eta(A)),
% difference(j(eta(A)),x1)),
% difference(j(eta(A)),x1))),
% difference(eta(A),x1)) is composed into [567]
% quotient(difference(i(i(A)),
% t(A,eta(A))),i(A)) ->
% quotient(quotient(difference(
% j(eta(A)),x1),
% quotient(difference(one,
% difference(
% j(eta(A)),x1)),
% difference(j(eta(A)),x1))),
% difference(eta(A),x1))
% Rule [520]
% quotient(eta(A),i(quotient(j(eta(A)),quotient(difference(B,j(eta(A))),
% j(eta(A)))))) ->
% quotient(eta(eta(A)),i(B)) is composed into [520]
% quotient(eta(A),i(quotient(
% j(
% eta(A)),
% quotient(
% difference(B,
% j(
% eta(A))),
% j(
% eta(A))))))
% -> quotient(one,i(B))
% New rule produced : [870] eta(eta(A)) -> one
% Rule
% [338]
% quotient(quotient(A,quotient(difference(eta(eta(A)),A),A)),j(eta(A))) ->
% j(j(A)) collapsed.
% Rule
% [412]
% quotient(eta(A),i(quotient(quotient(j(eta(A)),quotient(difference(eta(eta(A)),
% j(eta(A))),j(eta(A)))),
% quotient(difference(B,quotient(j(eta(A)),quotient(difference(
% eta(
% eta(A)),
% j(
% eta(A))),
% j(eta(A))))),
% quotient(j(eta(A)),quotient(difference(eta(eta(A)),
% j(eta(A))),j(eta(A)))))))) ->
% quotient(eta(eta(A)),quotient(quotient(difference(B,eta(eta(A))),eta(eta(A))),
% eta(eta(A)))) collapsed.
% Rule
% [414]
% quotient(quotient(A,quotient(difference(eta(eta(B)),A),A)),eta(B)) ->
% quotient(A,eta(B)) collapsed.
% Rule
% [579]
% difference(i(A),quotient(quotient(eta(A),i(quotient(eta(eta(A)),i(i(A))))),
% i(A))) -> difference(i(A),eta(A)) collapsed.
% Rule
% [614]
% difference(A,quotient(quotient(difference(j(eta(A)),x1),quotient(difference(
% eta(
% eta(A)),
% difference(
% j(eta(A)),x1)),
% difference(j(eta(A)),x1))),
% difference(eta(A),x1))) -> quotient(quotient(j(A),A),j(A))
% collapsed.
% Rule
% [638]
% quotient(quotient(difference(i(t(eta(A),B)),quotient(eta(eta(A)),i(t(
% eta(A),B)))),
% t(eta(A),B)),eta(A)) -> t(eta(A),quotient(B,eta(A))) collapsed.
% Rule
% [681]
% quotient(difference(j(eta(A)),difference(eta(A),A)),quotient(difference(
% eta(eta(A)),
% difference(
% j(eta(A)),
% difference(
% eta(A),A))),
% difference(j(eta(A)),
% difference(eta(A),A))))
% -> A collapsed.
% Rule [689] quotient(eta(eta(A)),i(i(i(A)))) -> i(i(A)) collapsed.
% Rule
% [709]
% quotient(eta(eta(A)),i(quotient(eta(A),quotient(A,eta(A))))) ->
% quotient(eta(A),quotient(A,eta(A))) collapsed.
% Current number of equations to process: 59
% Current number of ordered equations: 0
% Current number of rules: 546
% New rule produced :
% [871] quotient(eta(quotient(eta(A),j(eta(A)))),eta(A)) -> j(eta(A))
% Current number of equations to process: 58
% Current number of ordered equations: 0
% Current number of rules: 547
% New rule produced :
% [872]
% quotient(quotient(difference(i(t(eta(A),B)),t(eta(A),B)),t(eta(A),B)),eta(A))
% -> t(eta(A),quotient(B,eta(A)))
% Current number of equations to process: 57
% Current number of ordered equations: 0
% Current number of rules: 548
% New rule produced : [873] difference(j(eta(A)),difference(eta(A),A)) -> A
% Current number of equations to process: 56
% Current number of ordered equations: 0
% Current number of rules: 549
% New rule produced :
% [874]
% difference(A,quotient(difference(j(eta(A)),x1),difference(eta(A),x1))) ->
% quotient(quotient(j(A),A),j(A))
% Current number of equations to process: 55
% Current number of ordered equations: 0
% Current number of rules: 550
% New rule produced : [875] difference(i(i(A)),A) -> eta(A)
% Current number of equations to process: 55
% Current number of ordered equations: 0
% Current number of rules: 551
% New rule produced : [876] quotient(quotient(j(A),A),i(A)) -> j(A)
% Rule [249] quotient(i(A),quotient(quotient(j(A),A),i(A))) -> eta(A)
% collapsed.
% Current number of equations to process: 55
% Current number of ordered equations: 0
% Current number of rules: 551
% New rule produced :
% [877]
% difference(i(B),quotient(quotient(i(B),quotient(difference(A,i(B)),i(B))),
% quotient(difference(j(B),quotient(i(B),quotient(difference(A,
% i(B)),
% i(B)))),quotient(
% i(B),quotient(
% difference(A,
% i(B)),
% i(B))))))
% <-> quotient(quotient(A,quotient(difference(quotient(j(B),B),A),A)),i(B))
% Current number of equations to process: 56
% Current number of ordered equations: 1
% Current number of rules: 552
% New rule produced :
% [878]
% quotient(quotient(A,quotient(difference(quotient(j(B),B),A),A)),i(B)) <->
% difference(i(B),quotient(quotient(i(B),quotient(difference(A,i(B)),i(B))),
% quotient(difference(j(B),quotient(i(B),quotient(difference(A,
% i(B)),
% i(B)))),quotient(
% i(B),quotient(
% difference(A,
% i(B)),
% i(B))))))
% Current number of equations to process: 56
% Current number of ordered equations: 0
% Current number of rules: 553
% New rule produced :
% [879]
% difference(j(A),quotient(quotient(j(A),A),quotient(difference(B,quotient(
% j(A),A)),
% quotient(j(A),A)))) <->
% quotient(quotient(difference(i(i(A)),quotient(quotient(B,quotient(difference(
% j(A),B),B)),
% quotient(difference(i(A),quotient(B,
% quotient(
% difference(
% j(A),B),B))),
% quotient(B,quotient(difference(j(A),B),B))))),
% i(A)),j(A))
% Current number of equations to process: 55
% Current number of ordered equations: 1
% Current number of rules: 554
% New rule produced :
% [880]
% quotient(quotient(difference(i(i(A)),quotient(quotient(B,quotient(difference(
% j(A),B),B)),
% quotient(difference(i(A),quotient(B,
% quotient(
% difference(
% j(A),B),B))),
% quotient(B,quotient(difference(j(A),B),B))))),
% i(A)),j(A)) <->
% difference(j(A),quotient(quotient(j(A),A),quotient(difference(B,quotient(
% j(A),A)),
% quotient(j(A),A))))
% Current number of equations to process: 55
% Current number of ordered equations: 0
% Current number of rules: 555
% Rule [850]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(
% difference(
% i(B),quotient(
% difference(
% i(
% difference(
% eta(B),A)),A),
% difference(
% eta(B),A))),
% eta(B)),A),A)))
% ->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(
% eta(B),
% quotient(B,
% eta(B))),A),A),A))) is composed into
% [850]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(
% i(B),
% quotient(
% difference(
% i(difference(
% eta(B),A)),A),
% difference(
% eta(B),A))),
% eta(B)),A),A))) ->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(
% eta(B),
% i(
% i(B))),A),A),A)))
% Rule [844]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(
% quotient(B,
% quotient(
% difference(
% i(A),B),B)),
% eta(A)),
% eta(A)),
% eta(A)))) <->
% quotient(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))),
% quotient(difference(difference(quotient(eta(A),j(eta(A))),quotient(
% eta(A),
% quotient(
% quotient(A,
% eta(A)),
% eta(A)))),
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A))))),
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))))) is composed into
% [844]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(
% quotient(B,
% quotient(
% difference(
% i(A),B),B)),
% eta(A)),
% eta(A)),
% eta(A)))) <->
% quotient(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))),
% quotient(difference(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),
% quotient(i(i(A)),
% eta(A)))),difference(
% quotient(
% eta(A),
% j(
% eta(A))),
% quotient(
% eta(A),
% quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A))))),
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A))))))
% Rule [764]
% difference(i(B),quotient(quotient(i(B),quotient(difference(A,i(B)),i(B))),
% quotient(quotient(quotient(difference(B,quotient(A,
% quotient(
% difference(
% eta(B),A),A))),B),
% i(B)),quotient(i(B),quotient(difference(A,i(B)),
% i(B)))))) <->
% quotient(quotient(A,quotient(difference(quotient(eta(B),quotient(B,
% eta(B))),A),A)),
% i(B)) is composed into [764]
% difference(i(B),quotient(quotient(i(B),quotient(
% difference(A,
% i(B)),
% i(B))),
% quotient(quotient(quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(
% eta(B),A),A))),B),
% i(B)),quotient(i(B),
% quotient(difference(A,
% i(B)),
% i(B)))))) <->
% quotient(quotient(A,quotient(difference(quotient(
% eta(B),
% i(
% i(B))),A),A)),
% i(B))
% New rule produced : [881] quotient(A,eta(A)) -> i(i(A))
% Rule [250] quotient(quotient(eta(A),quotient(A,eta(A))),i(A)) -> eta(A)
% collapsed.
% Rule
% [731]
% difference(quotient(eta(A),quotient(A,eta(A))),quotient(eta(A),i(quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A)))))) ->
% quotient(quotient(quotient(B,quotient(difference(quotient(eta(A),quotient(A,
% eta(A))),B),B)),
% i(A)),eta(A)) collapsed.
% Rule
% [763]
% quotient(quotient(A,quotient(difference(quotient(eta(B),quotient(B,eta(B))),A),A)),
% i(B)) <->
% difference(i(B),quotient(quotient(i(B),quotient(difference(A,i(B)),i(B))),
% quotient(quotient(quotient(difference(B,quotient(A,quotient(
% difference(
% eta(B),A),A))),B),
% i(B)),quotient(i(B),quotient(difference(A,i(B)),
% i(B)))))) collapsed.
% Rule
% [845]
% quotient(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))),
% quotient(difference(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),
% quotient(quotient(A,
% eta(A)),
% eta(A)))),difference(
% quotient(
% eta(A),
% j(
% eta(A))),
% quotient(
% eta(A),
% quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A))))),
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))))) <->
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(
% quotient(B,
% quotient(
% difference(
% i(A),B),B)),
% eta(A)),
% eta(A)),
% eta(A)))) collapsed.
% Current number of equations to process: 62
% Current number of ordered equations: 0
% Current number of rules: 552
% New rule produced : [882] difference(t(i(A),eta(A)),j(A)) -> i(A)
% Current number of equations to process: 62
% Current number of ordered equations: 0
% Current number of rules: 553
% New rule produced :
% [883] quotient(j(A),t(i(A),eta(A))) -> t(t(i(A),eta(A)),i(A))
% Current number of equations to process: 61
% Current number of ordered equations: 0
% Current number of rules: 554
% New rule produced :
% [884]
% difference(i(i(i(A))),quotient(eta(A),i(quotient(i(A),quotient(difference(B,
% i(A)),
% i(A)))))) -> B
% Current number of equations to process: 60
% Current number of ordered equations: 0
% Current number of rules: 555
% New rule produced :
% [885]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(
% i(B),
% quotient(
% difference(
% i(difference(
% j(B),A)),A),
% difference(
% j(B),A))),
% j(B)),A),A))) ->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(
% j(B),B),A),A),A)))
% Current number of equations to process: 59
% Current number of ordered equations: 0
% Current number of rules: 556
% New rule produced :
% [886]
% difference(i(B),quotient(quotient(i(B),quotient(difference(A,i(B)),i(B))),
% quotient(quotient(quotient(difference(B,quotient(A,quotient(
% difference(
% eta(B),A),A))),B),
% i(B)),quotient(i(B),quotient(difference(A,i(B)),
% i(B)))))) ->
% quotient(A,quotient(difference(eta(B),A),A))
% Rule
% [764]
% difference(i(B),quotient(quotient(i(B),quotient(difference(A,i(B)),i(B))),
% quotient(quotient(quotient(difference(B,quotient(A,quotient(
% difference(
% eta(B),A),A))),B),
% i(B)),quotient(i(B),quotient(difference(A,i(B)),
% i(B)))))) <->
% quotient(quotient(A,quotient(difference(quotient(eta(B),i(i(B))),A),A)),i(B))
% collapsed.
% Current number of equations to process: 58
% Current number of ordered equations: 0
% Current number of rules: 556
% New rule produced : [887] quotient(i(A),A) -> t(A,quotient(j(A),A))
% Rule
% [690]
% quotient(difference(quotient(i(A),A),quotient(i(A),quotient(difference(
% eta(A),i(A)),
% i(A)))),quotient(difference(
% difference(
% quotient(
% i(A),A),
% quotient(
% i(A),
% quotient(
% quotient(
% difference(B,
% i(A)),
% i(A)),
% i(A)))),
% difference(
% quotient(
% i(A),A),
% quotient(
% i(A),
% quotient(
% difference(
% eta(A),
% i(A)),
% i(A))))),
% difference(
% quotient(i(A),A),
% quotient(i(A),
% quotient(difference(
% eta(A),
% i(A)),
% i(A)))))) ->
% difference(quotient(i(A),A),quotient(i(A),quotient(quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% i(A)),i(A)),
% i(A)))) collapsed.
% Rule
% [691]
% quotient(difference(quotient(i(A),A),quotient(i(A),quotient(quotient(
% difference(B,
% i(A)),i(A)),
% i(A)))),quotient(difference(
% difference(
% quotient(
% i(A),A),
% quotient(
% i(A),
% quotient(
% difference(
% eta(A),
% i(A)),
% i(A)))),
% difference(
% quotient(
% i(A),A),
% quotient(
% i(A),
% quotient(
% quotient(
% difference(B,
% i(A)),
% i(A)),
% i(A))))),
% difference(
% quotient(i(A),A),
% quotient(i(A),
% quotient(quotient(
% difference(B,
% i(A)),
% i(A)),
% i(A)))))) <->
% difference(quotient(i(A),A),quotient(i(A),quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% i(A)),i(A)),
% i(A)))) collapsed.
% Rule
% [692]
% difference(quotient(i(A),A),quotient(i(A),quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% i(A)),i(A)),
% i(A)))) <->
% quotient(difference(quotient(i(A),A),quotient(i(A),quotient(quotient(
% difference(B,
% i(A)),i(A)),
% i(A)))),quotient(difference(
% difference(
% quotient(
% i(A),A),
% quotient(
% i(A),
% quotient(
% difference(
% eta(A),
% i(A)),
% i(A)))),
% difference(
% quotient(
% i(A),A),
% quotient(
% i(A),
% quotient(
% quotient(
% difference(B,
% i(A)),
% i(A)),
% i(A))))),
% difference(
% quotient(i(A),A),
% quotient(i(A),
% quotient(quotient(
% difference(B,
% i(A)),
% i(A)),
% i(A))))))
% collapsed.
% Rule
% [833]
% quotient(difference(quotient(i(A),A),quotient(i(A),quotient(quotient(
% difference(B,
% i(A)),i(A)),
% i(A)))),quotient(difference(
% difference(
% quotient(
% i(A),A),
% quotient(
% i(A),
% quotient(
% quotient(
% difference(C,
% i(A)),
% i(A)),
% i(A)))),
% difference(
% quotient(
% i(A),A),
% quotient(
% i(A),
% quotient(
% quotient(
% difference(B,
% i(A)),
% i(A)),
% i(A))))),
% difference(
% quotient(i(A),A),
% quotient(i(A),
% quotient(quotient(
% difference(B,
% i(A)),
% i(A)),
% i(A)))))) <->
% difference(quotient(i(A),A),quotient(i(A),quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% i(A)),i(A)),
% i(A)))) collapsed.
% Rule
% [834]
% difference(quotient(i(A),A),quotient(i(A),quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% i(A)),i(A)),
% i(A)))) <->
% quotient(difference(quotient(i(A),A),quotient(i(A),quotient(quotient(
% difference(B,
% i(A)),i(A)),
% i(A)))),quotient(difference(
% difference(
% quotient(
% i(A),A),
% quotient(
% i(A),
% quotient(
% quotient(
% difference(C,
% i(A)),
% i(A)),
% i(A)))),
% difference(
% quotient(
% i(A),A),
% quotient(
% i(A),
% quotient(
% quotient(
% difference(B,
% i(A)),
% i(A)),
% i(A))))),
% difference(
% quotient(i(A),A),
% quotient(i(A),
% quotient(quotient(
% difference(B,
% i(A)),
% i(A)),
% i(A))))))
% collapsed.
% Current number of equations to process: 61
% Current number of ordered equations: 0
% Current number of rules: 552
% New rule produced : [888] quotient(i(A),quotient(j(A),A)) -> A
% Current number of equations to process: 62
% Current number of ordered equations: 0
% Current number of rules: 553
% New rule produced : [889] difference(j(A),A) -> quotient(j(j(A)),j(A))
% Rule [227] quotient(difference(j(A),A),A) -> difference(eta(A),A) collapsed.
% Current number of equations to process: 62
% Current number of ordered equations: 0
% Current number of rules: 553
% New rule produced : [890] difference(eta(A),A) -> j(j(A))
% Rule [237] quotient(A,quotient(difference(eta(A),A),A)) -> j(j(A)) collapsed.
% Rule [873] difference(j(eta(A)),difference(eta(A),A)) -> A collapsed.
% Current number of equations to process: 63
% Current number of ordered equations: 0
% Current number of rules: 552
% New rule produced : [891] difference(j(eta(A)),j(j(A))) -> A
% Rule [417] quotient(difference(j(eta(A)),j(j(A))),eta(A)) -> i(i(A))
% collapsed.
% Current number of equations to process: 62
% Current number of ordered equations: 0
% Current number of rules: 552
% New rule produced : [892] quotient(A,t(A,eta(A))) -> j(j(A))
% Current number of equations to process: 61
% Current number of ordered equations: 0
% Current number of rules: 553
% New rule produced :
% [893]
% quotient(quotient(quotient(difference(i(A),quotient(quotient(B,quotient(
% difference(
% i(A),B),B)),
% quotient(difference(quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(B,quotient(
% difference(
% i(A),B),B))),
% quotient(B,quotient(difference(
% i(A),B),B))))),A),x1),
% i(A)) -> difference(i(A),quotient(eta(A),i(B)))
% Current number of equations to process: 62
% Current number of ordered equations: 0
% Current number of rules: 554
% New rule produced :
% [894] difference(eta(A),j(eta(A))) -> quotient(j(eta(A)),eta(A))
% Current number of equations to process: 63
% Current number of ordered equations: 0
% Current number of rules: 555
% New rule produced : [895] difference(j(j(A)),A) -> j(eta(A))
% Rule
% [623]
% quotient(difference(j(j(B)),quotient(quotient(difference(i(B),quotient(
% quotient(
% i(i(B)),
% difference(
% j(j(B)),B)),
% quotient(
% difference(B,
% quotient(
% i(i(B)),
% difference(
% j(j(B)),B))),
% quotient(
% i(i(B)),
% difference(
% j(j(B)),B))))),B),
% quotient(difference(A,quotient(difference(
% i(B),quotient(
% quotient(
% i(i(B)),
% difference(
% j(j(B)),B)),
% quotient(
% difference(B,
% quotient(
% i(i(B)),
% difference(
% j(j(B)),B))),
% quotient(
% i(i(B)),
% difference(
% j(j(B)),B))))),B)),
% quotient(difference(i(B),quotient(quotient(
% i(i(B)),
% difference(
% j(j(B)),B)),
% quotient(difference(B,
% quotient(
% i(i(B)),
% difference(
% j(j(B)),B))),
% quotient(i(i(B)),
% difference(j(j(B)),B))))),B)))),A)
% -> quotient(t(j(j(B)),quotient(A,quotient(difference(j(j(B)),A),A))),A)
% collapsed.
% Rule
% [625]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(difference(j(j(A)),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(difference(j(j(A)),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(difference(j(j(A)),A),A)))))
% ->
% difference(quotient(A,j(A)),quotient(difference(i(A),quotient(quotient(
% j(j(A)),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A)))),
% quotient(difference(A,
% quotient(
% j(j(A)),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A))))),
% quotient(j(j(A)),
% quotient(difference(B,
% j(j(A))),
% j(j(A))))))),A))
% collapsed.
% Current number of equations to process: 68
% Current number of ordered equations: 0
% Current number of rules: 554
% New rule produced : [896] quotient(i(A),j(eta(A))) -> j(A)
% Current number of equations to process: 68
% Current number of ordered equations: 0
% Current number of rules: 555
% New rule produced : [897] quotient(A,j(j(A))) -> t(j(j(A)),j(eta(A)))
% Current number of equations to process: 67
% Current number of ordered equations: 0
% Current number of rules: 556
% New rule produced : [898] difference(t(j(j(A)),j(eta(A))),A) -> j(j(A))
% Current number of equations to process: 66
% Current number of ordered equations: 0
% Current number of rules: 557
% New rule produced :
% [899] quotient(A,t(j(j(A)),j(eta(A)))) -> t(t(j(j(A)),j(eta(A))),j(j(A)))
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 558
% New rule produced : [900] quotient(j(A),j(eta(A))) -> j(j(j(A)))
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 559
% New rule produced : [901] difference(eta(A),i(A)) -> j(A)
% Current number of equations to process: 66
% Current number of ordered equations: 0
% Current number of rules: 560
% New rule produced : [902] difference(eta(A),i(i(i(A)))) -> i(A)
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 561
% New rule produced :
% [903] quotient(quotient(i(i(A)),quotient(A,i(i(A)))),eta(A)) -> i(i(A))
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 562
% New rule produced :
% [904]
% quotient(quotient(A,quotient(difference(quotient(i(i(B)),quotient(B,i(i(B)))),A),A)),
% eta(B)) -> quotient(A,quotient(difference(i(i(B)),A),A))
% Current number of equations to process: 66
% Current number of ordered equations: 0
% Current number of rules: 563
% New rule produced :
% [905]
% difference(i(i(A)),quotient(quotient(i(i(A)),quotient(A,i(i(A)))),quotient(
% difference(B,
% quotient(
% i(i(A)),
% quotient(A,
% i(i(A))))),
% quotient(
% i(i(A)),
% quotient(A,
% i(i(A)))))))
% ->
% quotient(quotient(eta(A),i(quotient(B,quotient(difference(i(i(A)),B),B)))),
% i(i(A)))
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 564
% Rule [853]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(
% difference(
% i(i(B)),
% quotient(
% difference(
% i(difference(
% eta(B),A)),A),
% difference(
% eta(B),A))),
% eta(B)),A),A)))
% ->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(
% eta(B),
% quotient(
% i(B),eta(B))),A),A),A))) is composed into
% [853]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(
% i(i(B)),
% quotient(
% difference(
% i(difference(
% eta(B),A)),A),
% difference(
% eta(B),A))),
% eta(B)),A),A))) ->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(
% eta(B),
% i(
% i(i(B)))),A),A),A)))
% Rule [846]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(
% quotient(B,
% quotient(
% difference(
% i(
% i(A)),B),B)),
% eta(A)),
% eta(A)),
% eta(A)))) <->
% quotient(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))),
% quotient(difference(difference(quotient(eta(A),j(eta(A))),quotient(
% eta(A),
% quotient(
% quotient(
% i(A),eta(A)),
% eta(A)))),
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A))))),
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))))) is composed into
% [846]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(
% quotient(B,
% quotient(
% difference(
% i(i(A)),B),B)),
% eta(A)),
% eta(A)),
% eta(A)))) <->
% quotient(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))),
% quotient(difference(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),
% quotient(i(i(i(A))),
% eta(A)))),difference(
% quotient(
% eta(A),
% j(
% eta(A))),
% quotient(
% eta(A),
% quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A))))),
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A))))))
% Rule [839]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% eta(A)),
% eta(A)),
% eta(A)))) <->
% quotient(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))),
% quotient(difference(difference(quotient(eta(A),j(eta(A))),quotient(
% eta(A),
% quotient(
% i(A),eta(A)))),
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A))))),
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))))) is composed into
% [839]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% eta(A)),
% eta(A)),
% eta(A)))) <->
% quotient(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))),
% quotient(difference(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),
% i(i(i(A))))),
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A))))),
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A))))))
% Rule [794]
% difference(i(i(B)),quotient(quotient(eta(B),i(quotient(B,quotient(
% difference(A,B),B)))),
% quotient(difference(eta(B),quotient(B,quotient(
% difference(A,B),B))),
% quotient(B,quotient(difference(A,B),B))))) <->
% quotient(quotient(A,quotient(difference(quotient(eta(B),quotient(
% i(B),eta(B))),A),A)),
% i(i(B))) is composed into [794]
% difference(i(i(B)),quotient(quotient(eta(B),
% i(quotient(B,
% quotient(
% difference(A,B),B)))),
% quotient(difference(
% eta(B),quotient(B,
% quotient(
% difference(A,B),B))),
% quotient(B,quotient(
% difference(A,B),B)))))
% <->
% quotient(quotient(A,quotient(difference(
% quotient(
% eta(B),i(i(i(B)))),A),A)),
% i(i(B)))
% New rule produced : [906] quotient(i(A),eta(A)) -> i(i(i(A)))
% Rule [282] quotient(quotient(eta(A),quotient(i(A),eta(A))),i(i(A))) -> eta(A)
% collapsed.
% Rule
% [746]
% difference(quotient(eta(A),quotient(i(A),eta(A))),quotient(eta(A),i(quotient(
% eta(A),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))))))
% ->
% quotient(quotient(quotient(B,quotient(difference(quotient(eta(A),quotient(
% i(A),
% eta(A))),B),B)),
% i(i(A))),eta(A)) collapsed.
% Rule
% [793]
% quotient(quotient(A,quotient(difference(quotient(eta(B),quotient(i(B),eta(B))),A),A)),
% i(i(B))) <->
% difference(i(i(B)),quotient(quotient(eta(B),i(quotient(B,quotient(difference(A,B),B)))),
% quotient(difference(eta(B),quotient(B,quotient(difference(A,B),B))),
% quotient(B,quotient(difference(A,B),B))))) collapsed.
% Rule
% [840]
% quotient(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))),
% quotient(difference(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),
% quotient(i(A),
% eta(A)))),difference(
% quotient(
% eta(A),
% j(
% eta(A))),
% quotient(
% eta(A),
% quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A))))),
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))))) <->
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% eta(A)),
% eta(A)),
% eta(A)))) collapsed.
% Rule
% [847]
% quotient(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))),
% quotient(difference(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),
% quotient(quotient(
% i(A),
% eta(A)),
% eta(A)))),difference(
% quotient(
% eta(A),
% j(
% eta(A))),
% quotient(
% eta(A),
% quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A))))),
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))))) <->
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(
% quotient(B,
% quotient(
% difference(
% i(i(A)),B),B)),
% eta(A)),
% eta(A)),
% eta(A)))) collapsed.
% Current number of equations to process: 72
% Current number of ordered equations: 0
% Current number of rules: 560
% Rule [897] quotient(A,j(j(A))) -> t(j(j(A)),j(eta(A))) is composed into
% [897] quotient(A,j(j(A))) -> eta(A)
% New rule produced : [907] t(j(j(A)),j(eta(A))) -> eta(A)
% Rule [898] difference(t(j(j(A)),j(eta(A))),A) -> j(j(A)) collapsed.
% Rule
% [899] quotient(A,t(j(j(A)),j(eta(A)))) -> t(t(j(j(A)),j(eta(A))),j(j(A)))
% collapsed.
% Current number of equations to process: 71
% Current number of ordered equations: 0
% Current number of rules: 559
% New rule produced : [908] quotient(i(A),i(i(i(A)))) -> t(i(i(i(A))),eta(A))
% Current number of equations to process: 70
% Current number of ordered equations: 0
% Current number of rules: 560
% New rule produced :
% [909]
% difference(i(i(i(i(A)))),quotient(eta(A),i(quotient(eta(A),i(quotient(A,
% quotient(
% difference(B,A),A)))))))
% -> B
% Current number of equations to process: 69
% Current number of ordered equations: 0
% Current number of rules: 561
% New rule produced :
% [910]
% difference(i(i(B)),quotient(quotient(eta(B),i(quotient(B,quotient(difference(A,B),B)))),
% quotient(difference(eta(B),quotient(B,quotient(difference(A,B),B))),
% quotient(B,quotient(difference(A,B),B))))) ->
% quotient(A,quotient(difference(eta(B),A),A))
% Rule
% [794]
% difference(i(i(B)),quotient(quotient(eta(B),i(quotient(B,quotient(difference(A,B),B)))),
% quotient(difference(eta(B),quotient(B,quotient(difference(A,B),B))),
% quotient(B,quotient(difference(A,B),B))))) <->
% quotient(quotient(A,quotient(difference(quotient(eta(B),i(i(i(B)))),A),A)),
% i(i(B))) collapsed.
% Current number of equations to process: 68
% Current number of ordered equations: 0
% Current number of rules: 561
% New rule produced : [911] difference(i(A),t(A,quotient(j(A),A))) -> i(A)
% Current number of equations to process: 69
% Current number of ordered equations: 0
% Current number of rules: 562
% New rule produced :
% [912]
% quotient(quotient(quotient(A,j(A)),t(quotient(A,j(A)),j(A))),A) ->
% quotient(A,j(A))
% Current number of equations to process: 68
% Current number of ordered equations: 0
% Current number of rules: 563
% New rule produced :
% [913]
% difference(B,quotient(quotient(B,quotient(difference(A,B),B)),quotient(
% difference(
% quotient(B,
% j(B)),quotient(B,
% quotient(
% difference(A,B),B))),
% quotient(B,
% quotient(
% difference(A,B),B)))))
% <->
% quotient(quotient(A,quotient(difference(quotient(quotient(B,j(B)),t(quotient(B,
% j(B)),
% j(B))),A),A)),B)
% Current number of equations to process: 70
% Current number of ordered equations: 1
% Current number of rules: 564
% New rule produced :
% [914]
% quotient(quotient(A,quotient(difference(quotient(quotient(B,j(B)),t(quotient(B,
% j(B)),
% j(B))),A),A)),B)
% <->
% difference(B,quotient(quotient(B,quotient(difference(A,B),B)),quotient(
% difference(
% quotient(B,
% j(B)),quotient(B,
% quotient(
% difference(A,B),B))),
% quotient(B,
% quotient(
% difference(A,B),B)))))
% Current number of equations to process: 70
% Current number of ordered equations: 0
% Current number of rules: 565
% New rule produced : [915] quotient(t(A,quotient(j(A),A)),i(A)) -> i(A)
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 566
% New rule produced : [916] t(j(j(A)),A) -> j(j(j(j(A))))
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 567
% Rule [632]
% quotient(quotient(eta(A),j(eta(A))),difference(j(j(A)),eta(A))) ->
% quotient(i(i(A)),quotient(A,i(i(A)))) is composed into [632]
% quotient(
% quotient(
% eta(A),j(eta(A))),
% difference(
% j(j(A)),eta(A)))
% ->
% quotient(
% i(i(A)),t(
% i(i(A)),
% eta(A)))
% New rule produced : [917] quotient(A,i(i(A))) -> t(i(i(A)),eta(A))
% Rule [903] quotient(quotient(i(i(A)),quotient(A,i(i(A)))),eta(A)) -> i(i(A))
% collapsed.
% Rule
% [904]
% quotient(quotient(A,quotient(difference(quotient(i(i(B)),quotient(B,i(i(B)))),A),A)),
% eta(B)) -> quotient(A,quotient(difference(i(i(B)),A),A)) collapsed.
% Rule
% [905]
% difference(i(i(A)),quotient(quotient(i(i(A)),quotient(A,i(i(A)))),quotient(
% difference(B,
% quotient(
% i(i(A)),
% quotient(A,
% i(i(A))))),
% quotient(
% i(i(A)),
% quotient(A,
% i(i(A)))))))
% ->
% quotient(quotient(eta(A),i(quotient(B,quotient(difference(i(i(A)),B),B)))),
% i(i(A))) collapsed.
% Rule [908] quotient(i(A),i(i(i(A)))) -> t(i(i(i(A))),eta(A)) collapsed.
% Current number of equations to process: 78
% Current number of ordered equations: 0
% Current number of rules: 564
% New rule produced :
% [918] difference(t(t(i(A),eta(A)),i(A)),j(A)) -> t(i(A),eta(A))
% Current number of equations to process: 77
% Current number of ordered equations: 0
% Current number of rules: 565
% New rule produced :
% [919] quotient(quotient(i(i(A)),t(i(i(A)),eta(A))),eta(A)) -> i(i(A))
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 566
% New rule produced :
% [920]
% quotient(j(A),t(t(i(A),eta(A)),i(A))) ->
% t(t(t(i(A),eta(A)),i(A)),t(i(A),eta(A)))
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 567
% New rule produced :
% [921]
% quotient(quotient(A,quotient(difference(quotient(i(i(B)),t(i(i(B)),eta(B))),A),A)),
% eta(B)) -> quotient(A,quotient(difference(i(i(B)),A),A))
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 568
% New rule produced :
% [922]
% difference(i(i(A)),quotient(quotient(i(i(A)),t(i(i(A)),eta(A))),quotient(
% difference(B,
% quotient(
% i(i(A)),
% t(i(i(A)),
% eta(A)))),
% quotient(
% i(i(A)),
% t(i(i(A)),
% eta(A))))))
% ->
% quotient(quotient(eta(A),i(quotient(B,quotient(difference(i(i(A)),B),B)))),
% i(i(A)))
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 569
% New rule produced :
% [923] difference(t(eta(A),B),j(t(eta(A),C))) -> t(eta(A),difference(B,j(C)))
% Current number of equations to process: 75
% Current number of ordered equations: 1
% Current number of rules: 570
% New rule produced :
% [924] difference(j(t(eta(A),B)),t(eta(A),C)) -> t(eta(A),difference(j(B),C))
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 571
% New rule produced :
% [925] quotient(t(eta(A),B),j(t(eta(A),C))) -> t(eta(A),quotient(B,j(C)))
% Current number of equations to process: 73
% Current number of ordered equations: 1
% Current number of rules: 572
% New rule produced :
% [926] quotient(j(t(eta(A),B)),t(eta(A),C)) -> t(eta(A),quotient(j(B),C))
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 573
% Rule [226] quotient(i(i(A)),eta(A)) -> t(eta(A),A) is composed into [226]
% quotient(
% i(
% i(A)),
% eta(A))
% ->
% i(
% i(
% i(i(A))))
% New rule produced : [927] t(eta(A),A) -> i(i(i(i(A))))
% Rule [224] j(t(eta(A),A)) -> i(i(i(A))) collapsed.
% Rule [235] difference(t(eta(A),A),i(i(A))) -> eta(A) collapsed.
% Rule [252] quotient(i(i(A)),t(eta(A),A)) -> t(t(eta(A),A),eta(A)) collapsed.
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 571
% New rule produced :
% [928] difference(t(eta(A),B),i(t(eta(A),C))) -> t(eta(A),difference(B,i(C)))
% Current number of equations to process: 75
% Current number of ordered equations: 1
% Current number of rules: 572
% New rule produced :
% [929] difference(i(t(eta(A),B)),t(eta(A),C)) -> t(eta(A),difference(i(B),C))
% Rule
% [872]
% quotient(quotient(difference(i(t(eta(A),B)),t(eta(A),B)),t(eta(A),B)),eta(A))
% -> t(eta(A),quotient(B,eta(A))) collapsed.
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 572
% New rule produced :
% [930] quotient(t(eta(A),B),i(t(eta(A),C))) -> t(eta(A),quotient(B,i(C)))
% Current number of equations to process: 74
% Current number of ordered equations: 1
% Current number of rules: 573
% New rule produced :
% [931] quotient(i(t(eta(A),B)),t(eta(A),C)) -> t(eta(A),quotient(i(B),C))
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 574
% New rule produced :
% [932]
% t(eta(A),quotient(quotient(difference(i(B),B),B),eta(A))) ->
% t(eta(A),quotient(B,eta(A)))
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 575
% New rule produced : [933] i(t(eta(A),eta(B))) -> j(t(eta(A),eta(B)))
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 576
% Rule [846]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(
% quotient(B,
% quotient(
% difference(
% i(
% i(A)),B),B)),
% eta(A)),
% eta(A)),
% eta(A)))) <->
% quotient(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))),
% quotient(difference(difference(quotient(eta(A),j(eta(A))),quotient(
% eta(A),
% quotient(
% i(i(i(A))),
% eta(A)))),
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A))))),
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))))) is composed into
% [846]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(
% quotient(B,
% quotient(
% difference(
% i(i(A)),B),B)),
% eta(A)),
% eta(A)),
% eta(A)))) <->
% quotient(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))),
% quotient(difference(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),
% i(i(i(i(i(A))))))),
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A))))),
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A))))))
% New rule produced : [934] quotient(i(i(i(A))),eta(A)) -> i(i(i(i(i(A)))))
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 577
% New rule produced :
% [935] difference(t(i(i(i(i(A)))),eta(A)),i(i(A))) -> i(i(i(i(A))))
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 578
% New rule produced :
% [936]
% quotient(i(i(A)),t(i(i(i(i(A)))),eta(A))) ->
% t(t(i(i(i(i(A)))),eta(A)),i(i(i(i(A)))))
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 579
% New rule produced : [937] difference(quotient(difference(i(A),A),A),A) -> one
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 580
% New rule produced : [938] quotient(difference(i(A),A),A) -> A
% Rule [228] quotient(A,quotient(difference(i(A),A),A)) -> one collapsed.
% Rule
% [932]
% t(eta(A),quotient(quotient(difference(i(B),B),B),eta(A))) ->
% t(eta(A),quotient(B,eta(A))) collapsed.
% Rule [937] difference(quotient(difference(i(A),A),A),A) -> one collapsed.
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 578
% New rule produced : [939] difference(A,quotient(A,j(eta(B)))) -> eta(B)
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 579
% New rule produced : [940] quotient(quotient(A,j(eta(B))),A) -> t(A,eta(B))
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 580
% New rule produced : [941] difference(t(A,eta(B)),quotient(A,j(eta(B)))) -> A
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 581
% New rule produced :
% [942] quotient(quotient(A,j(eta(B))),t(A,eta(B))) -> t(t(A,eta(B)),A)
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 582
% New rule produced : [943] difference(t(j(A),eta(A)),j(j(j(A)))) -> j(A)
% Current number of equations to process: 77
% Current number of ordered equations: 0
% Current number of rules: 583
% New rule produced :
% [944]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(
% t(B,
% eta(B)),
% quotient(
% difference(
% i(difference(
% j(
% j(B)),A)),A),
% difference(
% j(j(B)),A))),
% j(j(B))),A),A))) ->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))
% Current number of equations to process: 78
% Current number of ordered equations: 0
% Current number of rules: 584
% New rule produced :
% [945]
% difference(i(i(i(B))),quotient(quotient(eta(B),i(quotient(i(B),quotient(
% difference(A,
% i(B)),
% i(B))))),
% quotient(quotient(quotient(difference(B,quotient(A,
% quotient(
% difference(
% eta(B),A),A))),B),
% i(B)),quotient(i(B),quotient(difference(A,
% i(B)),i(B))))))
% -> quotient(A,quotient(difference(eta(B),A),A))
% Current number of equations to process: 77
% Current number of ordered equations: 0
% Current number of rules: 585
% Rule [104] quotient(j(j(A)),A) -> t(A,eta(A)) is composed into [104]
% quotient(
% j(j(A)),A) ->
% j(eta(A))
% New rule produced : [946] t(A,eta(A)) -> j(eta(A))
% Rule [230] difference(t(A,eta(A)),j(j(A))) -> A collapsed.
% Rule [247] quotient(j(j(A)),t(A,eta(A))) -> t(t(A,eta(A)),A) collapsed.
% Rule [256] difference(t(t(A,eta(A)),A),j(j(A))) -> t(A,eta(A)) collapsed.
% Rule
% [403] quotient(j(j(A)),t(t(A,eta(A)),A)) -> t(t(t(A,eta(A)),A),t(A,eta(A)))
% collapsed.
% Rule
% [567]
% quotient(difference(i(i(A)),t(A,eta(A))),i(A)) ->
% quotient(quotient(difference(j(eta(A)),x1),quotient(difference(one,difference(
% j(
% eta(A)),x1)),
% difference(j(eta(A)),x1))),
% difference(eta(A),x1)) collapsed.
% Rule
% [660] difference(eta(A),t(A,eta(A))) -> t(j(j(A)),quotient(eta(A),j(eta(A))))
% collapsed.
% Rule [724] quotient(eta(A),i(t(A,eta(A)))) -> one collapsed.
% Rule [892] quotient(A,t(A,eta(A))) -> j(j(A)) collapsed.
% Rule
% [944]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(
% t(B,
% eta(B)),
% quotient(
% difference(
% i(difference(
% j(
% j(B)),A)),A),
% difference(
% j(j(B)),A))),
% j(j(B))),A),A))) ->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))
% collapsed.
% Current number of equations to process: 91
% Current number of ordered equations: 0
% Current number of rules: 577
% New rule produced : [947] quotient(quotient(A,i(A)),i(i(A))) -> A
% Rule [633] quotient(i(i(A)),quotient(quotient(A,i(A)),i(i(A)))) -> eta(A)
% collapsed.
% Current number of equations to process: 91
% Current number of ordered equations: 0
% Current number of rules: 577
% New rule produced : [948] quotient(j(j(A)),j(eta(A))) -> t(j(eta(A)),A)
% Current number of equations to process: 90
% Current number of ordered equations: 0
% Current number of rules: 578
% New rule produced :
% [949] difference(difference(A,B),difference(difference(B,A),B)) -> B
% Current number of equations to process: 89
% Current number of ordered equations: 0
% Current number of rules: 579
% New rule produced : [950] difference(t(j(eta(A)),A),j(j(A))) -> j(eta(A))
% Current number of equations to process: 88
% Current number of ordered equations: 0
% Current number of rules: 580
% New rule produced :
% [951]
% difference(B,quotient(B,A)) <->
% quotient(difference(A,quotient(B,A)),quotient(B,A))
% Current number of equations to process: 87
% Current number of ordered equations: 1
% Current number of rules: 581
% New rule produced :
% [952]
% quotient(difference(A,quotient(B,A)),quotient(B,A)) <->
% difference(B,quotient(B,A))
% Current number of equations to process: 87
% Current number of ordered equations: 0
% Current number of rules: 582
% New rule produced :
% [953]
% quotient(difference(difference(A,B),A),difference(B,A)) ->
% t(difference(B,A),A)
% Current number of equations to process: 86
% Current number of ordered equations: 0
% Current number of rules: 583
% New rule produced :
% [954]
% difference(t(difference(A,B),B),difference(difference(B,A),B)) ->
% difference(A,B)
% Current number of equations to process: 85
% Current number of ordered equations: 0
% Current number of rules: 584
% Rule [894] difference(eta(A),j(eta(A))) -> quotient(j(eta(A)),eta(A)) is composed into
% [894] difference(eta(A),j(eta(A))) -> t(j(j(A)),quotient(eta(A),j(eta(A))))
% New rule produced :
% [955] quotient(j(eta(A)),eta(A)) -> t(j(j(A)),quotient(eta(A),j(eta(A))))
% Current number of equations to process: 84
% Current number of ordered equations: 0
% Current number of rules: 585
% New rule produced :
% [956] quotient(j(j(A)),t(j(eta(A)),A)) -> t(t(j(eta(A)),A),j(eta(A)))
% Current number of equations to process: 83
% Current number of ordered equations: 0
% Current number of rules: 586
% New rule produced :
% [957]
% quotient(difference(difference(A,B),A),t(difference(B,A),A)) ->
% t(t(difference(B,A),A),difference(B,A))
% Current number of equations to process: 82
% Current number of ordered equations: 0
% Current number of rules: 587
% New rule produced :
% [958]
% quotient(difference(quotient(A,B),t(quotient(A,B),B)),t(quotient(A,B),B)) ->
% difference(A,t(quotient(A,B),B))
% Rule
% [775]
% quotient(t(quotient(A,B),B),quotient(difference(quotient(A,B),t(quotient(A,B),B)),
% t(quotient(A,B),B))) -> A collapsed.
% Current number of equations to process: 81
% Current number of ordered equations: 0
% Current number of rules: 587
% New rule produced :
% [959]
% quotient(quotient(difference(A,B),quotient(difference(quotient(C,quotient(
% difference(A,C),C)),
% difference(A,B)),difference(A,B))),A)
% -> difference(A,quotient(B,quotient(difference(C,B),B)))
% Rule
% [387]
% quotient(quotient(difference(A,B),quotient(difference(quotient(j(j(C)),
% quotient(difference(A,
% j(j(C))),
% j(j(C)))),difference(A,B)),
% difference(A,B))),A) ->
% difference(A,quotient(B,quotient(difference(j(j(C)),B),B))) collapsed.
% Current number of equations to process: 83
% Current number of ordered equations: 0
% Current number of rules: 587
% New rule produced :
% [960]
% quotient(difference(i(i(A)),j(eta(A))),i(A)) ->
% quotient(difference(j(eta(A)),x1),difference(eta(A),x1))
% Current number of equations to process: 82
% Current number of ordered equations: 0
% Current number of rules: 588
% New rule produced :
% [961]
% quotient(difference(quotient(quotient(A,quotient(difference(quotient(B,
% quotient(
% difference(C,B),B)),A),A)),C),C),C)
% <->
% quotient(difference(B,quotient(difference(i(quotient(difference(A,C),C)),C),
% quotient(difference(A,C),C))),quotient(C,quotient(
% difference(A,C),C)))
% Current number of equations to process: 81
% Current number of ordered equations: 1
% Current number of rules: 589
% New rule produced :
% [962]
% quotient(difference(B,quotient(difference(i(quotient(difference(A,C),C)),C),
% quotient(difference(A,C),C))),quotient(C,quotient(
% difference(A,C),C)))
% <->
% quotient(difference(quotient(quotient(A,quotient(difference(quotient(B,
% quotient(
% difference(C,B),B)),A),A)),C),C),C)
% Current number of equations to process: 81
% Current number of ordered equations: 0
% Current number of rules: 590
% New rule produced :
% [963]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(
% i(i(i(B))),
% quotient(
% difference(
% i(difference(
% eta(B),A)),A),
% difference(
% eta(B),A))),
% eta(B)),A),A))) ->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(i(
% i(
% i(
% i(i(B))))),A),A),A)))
% Current number of equations to process: 80
% Current number of ordered equations: 0
% Current number of rules: 591
% New rule produced : [964] difference(j(A),i(A)) -> t(i(A),eta(A))
% Current number of equations to process: 83
% Current number of ordered equations: 0
% Current number of rules: 592
% New rule produced :
% [965] quotient(difference(quotient(j(A),A),A),A) -> difference(i(A),A)
% Current number of equations to process: 83
% Current number of ordered equations: 0
% Current number of rules: 593
% New rule produced : [966] difference(A,quotient(A,i(A))) -> i(i(A))
% Current number of equations to process: 87
% Current number of ordered equations: 0
% Current number of rules: 594
% New rule produced : [967] difference(A,i(i(A))) -> t(i(i(A)),eta(A))
% Current number of equations to process: 88
% Current number of ordered equations: 0
% Current number of rules: 595
% Rule [952]
% quotient(difference(A,quotient(B,A)),quotient(B,A)) <->
% difference(B,quotient(B,A)) is composed into [952]
% quotient(difference(A,
% quotient(B,A)),
% quotient(B,A)) <->
% quotient(B,quotient(A,
% quotient(
% difference(B,A),A)))
% Rule [741]
% difference(quotient(quotient(A,B),j(quotient(A,B))),quotient(quotient(A,B),
% quotient(quotient(
% difference(
% quotient(C,
% quotient(
% difference(B,C),C)),
% quotient(A,B)),
% quotient(A,B)),
% quotient(A,B)))) <->
% quotient(difference(quotient(quotient(A,B),j(quotient(A,B))),quotient(
% quotient(A,B),
% quotient(
% quotient(
% difference(C,
% quotient(A,B)),
% quotient(A,B)),
% quotient(A,B)))),
% quotient(difference(difference(quotient(quotient(A,B),j(quotient(A,B))),
% quotient(quotient(A,B),quotient(difference(A,
% quotient(A,B)),
% quotient(A,B)))),difference(
% quotient(
% quotient(A,B),
% j(quotient(A,B))),
% quotient(
% quotient(A,B),
% quotient(
% quotient(
% difference(C,
% quotient(A,B)),
% quotient(A,B)),
% quotient(A,B))))),
% difference(quotient(quotient(A,B),j(quotient(A,B))),quotient(quotient(A,B),
% quotient(quotient(
% difference(C,
% quotient(A,B)),
% quotient(A,B)),
% quotient(A,B)))))) is composed into
% [741]
% difference(quotient(quotient(A,B),j(quotient(A,B))),quotient(quotient(A,B),
% quotient(quotient(
% difference(
% quotient(C,
% quotient(
% difference(B,C),C)),
% quotient(A,B)),
% quotient(A,B)),
% quotient(A,B)))) <->
% quotient(difference(quotient(quotient(A,B),j(quotient(A,B))),quotient(
% quotient(A,B),
% quotient(
% quotient(
% difference(C,
% quotient(A,B)),
% quotient(A,B)),
% quotient(A,B)))),
% quotient(difference(difference(quotient(quotient(A,B),j(quotient(A,B))),
% quotient(quotient(A,B),quotient(quotient(A,quotient(B,
% quotient(
% difference(A,B),B))),
% quotient(A,B)))),difference(
% quotient(
% quotient(A,B),
% j(quotient(A,B))),
% quotient(
% quotient(A,B),
% quotient(
% quotient(
% difference(C,
% quotient(A,B)),
% quotient(A,B)),
% quotient(A,B))))),
% difference(quotient(quotient(A,B),j(quotient(A,B))),quotient(quotient(A,B),
% quotient(quotient(
% difference(C,
% quotient(A,B)),
% quotient(A,B)),
% quotient(A,B))))))
% Rule [644]
% quotient(quotient(eta(A),j(eta(A))),quotient(difference(B,quotient(
% eta(A),
% j(eta(A)))),
% quotient(eta(A),j(eta(A))))) <->
% quotient(difference(i(i(A)),quotient(difference(i(A),quotient(quotient(
% quotient(
% eta(A),
% i(B)),
% quotient(
% difference(
% i(A),
% quotient(
% eta(A),
% i(B))),
% quotient(
% eta(A),
% i(B)))),
% quotient(quotient(
% difference(A,
% quotient(
% quotient(
% eta(A),
% i(B)),
% quotient(
% difference(
% eta(A),
% quotient(
% eta(A),
% i(B))),
% quotient(
% eta(A),
% i(B))))),A),
% quotient(quotient(
% eta(A),
% i(B)),
% quotient(difference(
% i(A),
% quotient(
% eta(A),
% i(B))),
% quotient(eta(A),
% i(B))))))),A)),
% i(A)) is composed into [644]
% quotient(quotient(eta(A),j(eta(A))),quotient(
% difference(B,
% quotient(
% eta(A),
% j(eta(A)))),
% quotient(
% eta(A),
% j(eta(A)))))
% <->
% quotient(difference(i(i(A)),quotient(difference(
% i(A),
% quotient(
% quotient(
% quotient(
% eta(A),
% i(B)),
% quotient(
% difference(
% i(A),
% quotient(
% eta(A),
% i(B))),
% quotient(
% eta(A),
% i(B)))),
% quotient(
% quotient(
% difference(A,
% quotient(
% quotient(
% eta(A),
% i(B)),
% quotient(
% quotient(
% eta(A),
% quotient(
% i(B),
% quotient(
% difference(
% eta(A),
% i(B)),
% i(B)))),
% quotient(
% eta(A),
% i(B))))),A),
% quotient(
% quotient(
% eta(A),
% i(B)),
% quotient(
% difference(
% i(A),
% quotient(
% eta(A),
% i(B))),
% quotient(
% eta(A),
% i(B))))))),A)),
% i(A))
% New rule produced :
% [968]
% difference(A,quotient(A,B)) ->
% quotient(A,quotient(B,quotient(difference(A,B),B)))
% Rule [218] difference(A,quotient(A,j(A))) -> A collapsed.
% Rule [233] difference(A,quotient(A,quotient(B,A))) -> quotient(A,B)
% collapsed.
% Rule
% [370]
% difference(quotient(eta(A),i(B)),quotient(quotient(eta(A),i(B)),quotient(
% difference(C,B),B)))
% -> C collapsed.
% Rule
% [495]
% quotient(difference(eta(B),quotient(eta(B),i(quotient(B,quotient(difference(A,B),B))))),A)
% -> B collapsed.
% Rule
% [500]
% difference(eta(A),quotient(eta(A),i(quotient(quotient(B,quotient(difference(C,B),B)),
% eta(A))))) ->
% quotient(quotient(B,quotient(difference(C,B),B)),eta(A)) collapsed.
% Rule
% [739]
% quotient(difference(quotient(quotient(A,B),j(quotient(A,B))),quotient(
% quotient(A,B),
% quotient(
% difference(A,
% quotient(A,B)),
% quotient(A,B)))),
% quotient(difference(difference(quotient(quotient(A,B),j(quotient(A,B))),
% quotient(quotient(A,B),quotient(quotient(difference(C,
% quotient(A,B)),
% quotient(A,B)),quotient(A,B)))),
% difference(quotient(quotient(A,B),j(quotient(A,B))),quotient(
% quotient(A,B),
% quotient(
% difference(A,
% quotient(A,B)),
% quotient(A,B))))),
% difference(quotient(quotient(A,B),j(quotient(A,B))),quotient(quotient(A,B),
% quotient(difference(A,
% quotient(A,B)),
% quotient(A,B)))))) ->
% difference(quotient(quotient(A,B),j(quotient(A,B))),quotient(quotient(A,B),
% quotient(quotient(
% difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% quotient(A,B)),
% quotient(A,B)),
% quotient(A,B))))
% collapsed.
% Rule
% [740]
% quotient(difference(quotient(quotient(A,B),j(quotient(A,B))),quotient(
% quotient(A,B),
% quotient(
% quotient(
% difference(C,
% quotient(A,B)),
% quotient(A,B)),
% quotient(A,B)))),
% quotient(difference(difference(quotient(quotient(A,B),j(quotient(A,B))),
% quotient(quotient(A,B),quotient(difference(A,quotient(A,B)),
% quotient(A,B)))),difference(
% quotient(
% quotient(A,B),
% j(quotient(A,B))),
% quotient(
% quotient(A,B),
% quotient(
% quotient(
% difference(C,
% quotient(A,B)),
% quotient(A,B)),
% quotient(A,B))))),
% difference(quotient(quotient(A,B),j(quotient(A,B))),quotient(quotient(A,B),
% quotient(quotient(
% difference(C,
% quotient(A,B)),
% quotient(A,B)),
% quotient(A,B)))))) <->
% difference(quotient(quotient(A,B),j(quotient(A,B))),quotient(quotient(A,B),
% quotient(quotient(
% difference(
% quotient(C,
% quotient(
% difference(B,C),C)),
% quotient(A,B)),
% quotient(A,B)),
% quotient(A,B))))
% collapsed.
% Rule [939] difference(A,quotient(A,j(eta(B)))) -> eta(B) collapsed.
% Rule
% [951]
% difference(B,quotient(B,A)) <->
% quotient(difference(A,quotient(B,A)),quotient(B,A)) collapsed.
% Rule [966] difference(A,quotient(A,i(A))) -> i(i(A)) collapsed.
% Current number of equations to process: 97
% Current number of ordered equations: 0
% Current number of rules: 586
% New rule produced : [969] quotient(t(eta(A),B),quotient(B,eta(A))) -> eta(A)
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 587
% New rule produced :
% [970]
% difference(eta(A),quotient(B,eta(A))) ->
% quotient(difference(eta(A),B),eta(A))
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 588
% New rule produced :
% [971] quotient(difference(A,quotient(j(A),A)),quotient(j(A),A)) -> i(A)
% Current number of equations to process: 97
% Current number of ordered equations: 0
% Current number of rules: 589
% New rule produced :
% [972] quotient(A,quotient(j(A),quotient(difference(A,j(A)),j(A)))) -> A
% Current number of equations to process: 96
% Current number of ordered equations: 0
% Current number of rules: 590
% New rule produced :
% [973]
% difference(difference(j(eta(B)),A),j(eta(B))) ->
% quotient(difference(A,j(eta(B))),eta(B))
% Current number of equations to process: 95
% Current number of ordered equations: 0
% Current number of rules: 591
% New rule produced :
% [974]
% quotient(difference(A,quotient(difference(A,B),A)),quotient(difference(A,B),A))
% -> quotient(difference(A,B),B)
% Current number of equations to process: 92
% Current number of ordered equations: 0
% Current number of rules: 592
% New rule produced :
% [975]
% quotient(A,quotient(j(eta(B)),quotient(difference(A,j(eta(B))),j(eta(B)))))
% -> eta(B)
% Current number of equations to process: 90
% Current number of ordered equations: 0
% Current number of rules: 593
% New rule produced :
% [976]
% quotient(quotient(t(eta(A),B),quotient(quotient(B,eta(A)),t(eta(A),B))),
% eta(A)) -> t(eta(A),B)
% Current number of equations to process: 89
% Current number of ordered equations: 0
% Current number of rules: 594
% New rule produced :
% [977]
% quotient(quotient(quotient(A,quotient(B,A)),quotient(quotient(A,B),quotient(A,
% quotient(B,A)))),A)
% -> quotient(A,quotient(B,A))
% Current number of equations to process: 88
% Current number of ordered equations: 0
% Current number of rules: 595
% New rule produced :
% [978]
% quotient(t(quotient(A,B),B),quotient(t(t(quotient(A,B),B),quotient(A,B)),
% quotient(difference(t(quotient(A,B),B),t(
% t(
% quotient(A,B),B),
% quotient(A,B))),
% t(t(quotient(A,B),B),quotient(A,B))))) ->
% quotient(t(quotient(A,B),B),A)
% Current number of equations to process: 89
% Current number of ordered equations: 0
% Current number of rules: 596
% New rule produced :
% [979]
% quotient(quotient(A,quotient(difference(quotient(t(eta(B),C),quotient(
% quotient(C,
% eta(B)),
% t(eta(B),C))),A),A)),
% eta(B)) -> quotient(A,quotient(difference(t(eta(B),C),A),A))
% Current number of equations to process: 88
% Current number of ordered equations: 0
% Current number of rules: 597
% New rule produced :
% [980]
% quotient(quotient(eta(A),i(B)),quotient(quotient(difference(C,B),B),quotient(
% difference(
% quotient(
% eta(A),
% i(B)),
% quotient(
% difference(C,B),B)),
% quotient(
% difference(C,B),B))))
% -> C
% Current number of equations to process: 87
% Current number of ordered equations: 0
% Current number of rules: 598
% New rule produced :
% [981]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(
% difference(C,B),
% quotient(
% difference(
% i(difference(C,A)),A),
% difference(C,A))),C),A),A)))
% ->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))
% Current number of equations to process: 86
% Current number of ordered equations: 0
% Current number of rules: 599
% New rule produced :
% [982]
% quotient(quotient(eta(B),quotient(i(quotient(B,quotient(difference(A,B),B))),
% quotient(difference(eta(B),i(quotient(B,quotient(
% difference(A,B),B)))),
% i(quotient(B,quotient(difference(A,B),B)))))),A) ->
% B
% Current number of equations to process: 85
% Current number of ordered equations: 0
% Current number of rules: 600
% New rule produced :
% [983]
% quotient(eta(A),quotient(i(quotient(quotient(B,quotient(difference(C,B),B)),
% eta(A))),quotient(difference(eta(A),i(quotient(
% quotient(B,
% quotient(
% difference(C,B),B)),
% eta(A)))),
% i(quotient(quotient(B,quotient(difference(C,B),B)),
% eta(A)))))) ->
% quotient(quotient(B,quotient(difference(C,B),B)),eta(A))
% Current number of equations to process: 84
% Current number of ordered equations: 0
% Current number of rules: 601
% New rule produced :
% [984]
% difference(t(eta(A),B),quotient(quotient(t(eta(A),B),quotient(quotient(B,
% eta(A)),
% t(eta(A),B))),quotient(
% difference(C,
% quotient(
% t(
% eta(A),B),
% quotient(
% quotient(B,
% eta(A)),
% t(
% eta(A),B)))),
% quotient(
% t(
% eta(A),B),
% quotient(
% quotient(B,
% eta(A)),
% t(
% eta(A),B))))))
% -> quotient(eta(A),i(C))
% Current number of equations to process: 83
% Current number of ordered equations: 0
% Current number of rules: 602
% New rule produced :
% [985]
% quotient(eta(A),quotient(i(quotient(eta(A),i(quotient(i(A),quotient(difference(B,
% i(A)),
% i(A)))))),
% quotient(difference(eta(A),i(quotient(eta(A),i(quotient(
% i(A),quotient(
% difference(B,
% i(A)),
% i(A))))))),
% i(quotient(eta(A),i(quotient(i(A),quotient(difference(B,i(A)),
% i(A))))))))) ->
% quotient(quotient(eta(A),i(quotient(quotient(i(A),quotient(difference(B,i(A)),
% i(A))),quotient(quotient(
% quotient(
% difference(A,
% quotient(B,
% quotient(
% difference(
% eta(A),B),B))),A),
% i(A)),
% quotient(i(A),
% quotient(difference(B,
% i(A)),
% i(A))))))),eta(A))
% Current number of equations to process: 82
% Current number of ordered equations: 0
% Current number of rules: 603
% New rule produced :
% [986] difference(eta(A),j(t(eta(A),B))) -> quotient(j(B),eta(A))
% Current number of equations to process: 87
% Current number of ordered equations: 0
% Current number of rules: 604
% New rule produced :
% [987] difference(eta(A),i(t(eta(A),B))) -> quotient(i(B),eta(A))
% Current number of equations to process: 86
% Current number of ordered equations: 0
% Current number of rules: 605
% New rule produced :
% [988] difference(i(i(i(i(i(A))))),eta(A)) -> i(i(i(i(A))))
% Current number of equations to process: 87
% Current number of ordered equations: 0
% Current number of rules: 606
% Rule [846]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(
% quotient(B,
% quotient(
% difference(
% i(
% i(A)),B),B)),
% eta(A)),
% eta(A)),
% eta(A)))) <->
% quotient(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))),
% quotient(difference(difference(quotient(eta(A),j(eta(A))),quotient(
% eta(A),
% i(i(i(i(i(A))))))),
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A))))),
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))))) is composed into
% [846]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(
% quotient(B,
% quotient(
% difference(
% i(i(A)),B),B)),
% eta(A)),
% eta(A)),
% eta(A)))) <->
% quotient(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))),
% quotient(difference(difference(quotient(eta(A),j(eta(A))),i(i(i(i(i(i(A))))))),
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A))))),
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A))))))
% New rule produced :
% [989] quotient(eta(A),i(i(i(i(i(A)))))) -> i(i(i(i(i(i(A))))))
% Current number of equations to process: 86
% Current number of ordered equations: 0
% Current number of rules: 607
% New rule produced :
% [990]
% quotient(difference(quotient(A,eta(B)),eta(B)),eta(B)) ->
% t(eta(B),difference(A,eta(B)))
% Current number of equations to process: 85
% Current number of ordered equations: 0
% Current number of rules: 608
% Rule [632]
% quotient(quotient(eta(A),j(eta(A))),difference(j(j(A)),eta(A))) ->
% quotient(i(i(A)),t(i(i(A)),eta(A))) is composed into [632]
% quotient(quotient(
% eta(A),
% j(
% eta(A))),
% difference(
% j(j(A)),eta(A))) ->
% A
% New rule produced : [991] quotient(i(i(A)),t(i(i(A)),eta(A))) -> A
% Rule [919] quotient(quotient(i(i(A)),t(i(i(A)),eta(A))),eta(A)) -> i(i(A))
% collapsed.
% Rule
% [921]
% quotient(quotient(A,quotient(difference(quotient(i(i(B)),t(i(i(B)),eta(B))),A),A)),
% eta(B)) -> quotient(A,quotient(difference(i(i(B)),A),A)) collapsed.
% Rule
% [922]
% difference(i(i(A)),quotient(quotient(i(i(A)),t(i(i(A)),eta(A))),quotient(
% difference(B,
% quotient(
% i(i(A)),
% t(i(i(A)),
% eta(A)))),
% quotient(
% i(i(A)),
% t(i(i(A)),
% eta(A))))))
% ->
% quotient(quotient(eta(A),i(quotient(B,quotient(difference(i(i(A)),B),B)))),
% i(i(A))) collapsed.
% Current number of equations to process: 93
% Current number of ordered equations: 0
% Current number of rules: 606
% New rule produced :
% [992] difference(t(A,quotient(A,B)),quotient(A,quotient(B,A))) -> A
% Current number of equations to process: 94
% Current number of ordered equations: 0
% Current number of rules: 607
% New rule produced :
% [993]
% quotient(quotient(difference(A,B),A),quotient(difference(A,B),B)) ->
% difference(A,B)
% Current number of equations to process: 93
% Current number of ordered equations: 0
% Current number of rules: 608
% New rule produced :
% [994]
% quotient(quotient(A,B),quotient(A,quotient(B,quotient(difference(A,B),B))))
% -> A
% Current number of equations to process: 92
% Current number of ordered equations: 0
% Current number of rules: 609
% Rule [868]
% difference(i(i(A)),quotient(eta(A),i(quotient(quotient(j(j(A)),j(A)),
% quotient(difference(B,quotient(
% j(j(A)),
% j(A))),
% quotient(j(j(A)),j(A))))))) ->
% t(i(i(A)),quotient(B,quotient(difference(i(i(A)),B),B))) is composed into
% [868]
% difference(i(i(A)),quotient(eta(A),i(quotient(quotient(j(j(A)),j(A)),
% quotient(difference(B,quotient(j(j(A)),
% j(A))),quotient(
% j(j(A)),
% j(A)))))))
% -> t(i(i(A)),quotient(quotient(B,quotient(difference(A,B),B)),eta(A)))
% Rule [776]
% quotient(quotient(eta(A),i(quotient(A,quotient(difference(B,A),A)))),
% quotient(difference(C,quotient(A,quotient(difference(B,A),A))),quotient(A,
% quotient(
% difference(B,A),A))))
% <->
% quotient(eta(A),i(quotient(quotient(difference(i(A),quotient(quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(
% i(i(A)),C),C)),B),B)),
% i(i(A))),
% quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(
% i(i(A)),C),C)),B),B)),
% i(i(A)))),
% quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(
% i(i(A)),C),C)),B),B)),
% i(i(A)))))),A),C))) is composed into
% [776]
% quotient(quotient(eta(A),i(quotient(A,quotient(difference(B,A),A)))),
% quotient(difference(C,quotient(A,quotient(difference(B,A),A))),quotient(A,
% quotient(
% difference(B,A),A))))
% <->
% quotient(eta(A),i(quotient(quotient(difference(i(A),quotient(quotient(
% quotient(B,
% quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(A,C),C)),
% eta(A)),B),B)),
% i(i(A))),
% quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(A,C),C)),
% eta(A)),B),B)),
% i(i(A)))),
% quotient(quotient(B,
% quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(A,C),C)),
% eta(A)),B),B)),
% i(i(A)))))),A),C)))
% Rule [766]
% quotient(difference(i(A),quotient(eta(B),i(quotient(B,quotient(difference(A,B),B))))),A)
% <-> quotient(A,quotient(difference(i(i(B)),A),A)) is composed into
% [766]
% quotient(difference(i(A),quotient(eta(B),i(quotient(B,quotient(difference(A,B),B))))),A)
% <-> quotient(quotient(A,quotient(difference(B,A),A)),eta(B))
% Rule [672]
% quotient(quotient(eta(A),j(eta(B))),difference(quotient(A,quotient(
% difference(
% eta(B),A),A)),
% eta(B))) ->
% quotient(quotient(eta(A),i(quotient(A,quotient(difference(i(i(B)),A),A)))),B) is composed into
% [672]
% quotient(quotient(eta(A),j(eta(B))),difference(quotient(A,quotient(difference(
% eta(B),A),A)),
% eta(B))) ->
% quotient(quotient(eta(A),i(quotient(quotient(A,quotient(difference(B,A),A)),
% eta(B)))),B)
% Rule [649]
% difference(quotient(eta(A),i(quotient(A,quotient(difference(B,A),A)))),
% quotient(eta(A),i(quotient(A,quotient(difference(C,A),A))))) ->
% quotient(difference(B,quotient(C,quotient(difference(i(i(A)),C),C))),
% i(i(A))) is composed into [649]
% difference(quotient(eta(A),i(quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(eta(A),i(quotient(A,quotient(
% difference(C,A),A)))))
% ->
% quotient(difference(B,quotient(quotient(C,
% quotient(
% difference(A,C),C)),
% eta(A))),i(i(A)))
% Rule [517]
% quotient(quotient(difference(A,B),quotient(difference(quotient(eta(C),
% i(quotient(C,
% quotient(
% difference(A,C),C)))),
% difference(A,B)),difference(A,B))),A)
% -> difference(A,quotient(B,quotient(difference(i(i(C)),B),B))) is composed into
% [517]
% quotient(quotient(difference(A,B),quotient(difference(quotient(eta(C),
% i(quotient(C,quotient(
% difference(A,C),C)))),
% difference(A,B)),difference(A,B))),A)
% -> difference(A,quotient(quotient(B,quotient(difference(C,B),B)),eta(C)))
% Rule [423]
% difference(i(i(A)),quotient(eta(A),i(quotient(quotient(A,quotient(
% difference(B,A),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(
% i(i(A)),C),C)),B),B)),
% i(i(A))) is composed into [423]
% difference(i(i(A)),quotient(eta(A),i(quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))))))
% <->
% quotient(quotient(B,quotient(difference(
% quotient(
% quotient(C,
% quotient(
% difference(A,C),C)),
% eta(A)),B),B)),
% i(i(A)))
% Rule [331]
% quotient(quotient(A,quotient(difference(quotient(eta(B),quotient(
% quotient(
% i(C),B),
% eta(B))),A),A)),C)
% <->
% difference(C,quotient(quotient(C,quotient(difference(A,C),C)),quotient(
% difference(
% i(
% i(B)),
% quotient(C,
% quotient(
% difference(A,C),C))),
% quotient(C,
% quotient(
% difference(A,C),C))))) is composed into
% [331]
% quotient(quotient(A,quotient(difference(quotient(eta(B),quotient(quotient(
% i(C),B),
% eta(B))),A),A)),C)
% <->
% difference(C,quotient(quotient(quotient(C,quotient(difference(A,C),C)),
% quotient(difference(B,quotient(C,quotient(difference(A,C),C))),
% quotient(C,quotient(difference(A,C),C)))),eta(B)))
% New rule produced :
% [995]
% quotient(A,quotient(difference(i(i(B)),A),A)) ->
% quotient(quotient(A,quotient(difference(B,A),A)),eta(B))
% Rule
% [271]
% quotient(quotient(A,quotient(difference(i(i(B)),A),A)),quotient(A,quotient(
% difference(
% eta(B),A),A)))
% -> t(quotient(A,quotient(difference(eta(B),A),A)),B) collapsed.
% Rule
% [329]
% difference(C,quotient(quotient(C,quotient(difference(A,C),C)),quotient(
% difference(
% i(i(B)),
% quotient(C,
% quotient(
% difference(A,C),C))),
% quotient(C,
% quotient(
% difference(A,C),C)))))
% <->
% quotient(quotient(A,quotient(difference(quotient(eta(B),quotient(quotient(
% i(C),B),
% eta(B))),A),A)),C)
% collapsed.
% Rule
% [330]
% difference(C,quotient(quotient(C,quotient(difference(i(i(A)),C),C)),quotient(
% difference(B,
% quotient(C,
% quotient(
% difference(
% i(
% i(A)),C),C))),
% quotient(C,
% quotient(
% difference(
% i(
% i(A)),C),C)))))
% ->
% quotient(quotient(eta(A),quotient(quotient(i(quotient(B,quotient(difference(C,B),B))),A),
% eta(A))),C) collapsed.
% Rule
% [364]
% quotient(quotient(A,quotient(difference(i(i(B)),A),A)),B) ->
% quotient(A,quotient(difference(eta(B),A),A)) collapsed.
% Rule
% [424]
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(
% i(i(A)),C),C)),B),B)),
% i(i(A))) <->
% difference(i(i(A)),quotient(eta(A),i(quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(C,quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))))))
% collapsed.
% Rule
% [515]
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% i(i(C)),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% <->
% quotient(difference(i(A),quotient(B,quotient(difference(quotient(eta(C),
% i(quotient(C,
% quotient(difference(A,C),C)))),B),B))),A)
% collapsed.
% Rule
% [532]
% quotient(quotient(quotient(C,quotient(difference(quotient(A,quotient(
% difference(
% i(i(B)),A),A)),C),C)),
% i(i(B))),A) ->
% quotient(difference(i(i(B)),quotient(quotient(eta(B),quotient(quotient(
% i(C),B),
% eta(B))),quotient(
% difference(A,
% quotient(
% eta(B),
% quotient(
% quotient(
% i(C),B),
% eta(B)))),
% quotient(
% eta(B),
% quotient(
% quotient(
% i(C),B),
% eta(B)))))),A)
% collapsed.
% Rule
% [601]
% quotient(difference(i(i(A)),quotient(quotient(eta(A),i(quotient(A,quotient(
% difference(B,A),A)))),
% quotient(difference(C,quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))),
% quotient(difference(i(i(A)),difference(i(i(A)),quotient(quotient(eta(A),
% i(quotient(A,
% quotient(difference(B,A),A)))),
% quotient(difference(C,
% quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))))),
% difference(i(i(A)),quotient(quotient(eta(A),i(quotient(A,quotient(difference(B,A),A)))),
% quotient(difference(C,quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))))) <->
% quotient(B,quotient(difference(quotient(C,quotient(difference(i(i(A)),C),C)),B),B))
% collapsed.
% Rule
% [602]
% quotient(B,quotient(difference(quotient(C,quotient(difference(i(i(A)),C),C)),B),B))
% <->
% quotient(difference(i(i(A)),quotient(quotient(eta(A),i(quotient(A,quotient(
% difference(B,A),A)))),
% quotient(difference(C,quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))),
% quotient(difference(i(i(A)),difference(i(i(A)),quotient(quotient(eta(A),
% i(quotient(A,
% quotient(difference(B,A),A)))),
% quotient(difference(C,
% quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))))),
% difference(i(i(A)),quotient(quotient(eta(A),i(quotient(A,quotient(difference(B,A),A)))),
% quotient(difference(C,quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))))) collapsed.
% Rule
% [673]
% quotient(quotient(A,quotient(difference(quotient(quotient(eta(B),i(quotient(B,
% quotient(
% difference(
% i(
% i(C)),B),B)))),C),A),A)),
% eta(C)) -> quotient(A,quotient(difference(i(i(B)),A),A)) collapsed.
% Rule
% [675]
% quotient(quotient(A,quotient(difference(i(i(B)),A),A)),quotient(difference(C,
% quotient(A,
% quotient(
% difference(
% i(i(B)),A),A))),
% quotient(A,quotient(
% difference(
% i(i(B)),A),A))))
% <->
% quotient(difference(i(A),quotient(eta(B),i(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B))))),A)
% collapsed.
% Rule
% [736]
% quotient(quotient(quotient(quotient(eta(A),i(B)),quotient(difference(
% i(i(i(A))),B),B)),
% difference(quotient(difference(i(i(i(A))),quotient(quotient(
% eta(A),j(eta(A))),
% quotient(difference(B,
% eta(A)),eta(A)))),
% quotient(difference(i(i(i(A))),difference(i(i(i(A))),
% quotient(quotient(
% eta(A),j(eta(A))),
% quotient(difference(B,
% eta(A)),eta(A))))),
% difference(i(i(i(A))),quotient(quotient(eta(A),j(eta(A))),
% quotient(difference(B,eta(A)),
% eta(A)))))),quotient(B,quotient(
% difference(
% i(i(i(A))),B),B)))),
% i(i(i(A)))) -> difference(i(i(i(A))),quotient(eta(A),i(B))) collapsed.
% Rule
% [765]
% quotient(A,quotient(difference(i(i(B)),A),A)) <->
% quotient(difference(i(A),quotient(eta(B),i(quotient(B,quotient(difference(A,B),B))))),A)
% collapsed.
% Rule
% [777]
% quotient(eta(A),i(quotient(quotient(difference(i(A),quotient(quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(
% i(i(A)),C),C)),B),B)),
% i(i(A))),
% quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(
% i(i(A)),C),C)),B),B)),
% i(i(A)))),
% quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(
% i(i(A)),C),C)),B),B)),
% i(i(A)))))),A),C))) <->
% quotient(quotient(eta(A),i(quotient(A,quotient(difference(B,A),A)))),
% quotient(difference(C,quotient(A,quotient(difference(B,A),A))),quotient(A,
% quotient(
% difference(B,A),A))))
% collapsed.
% Rule
% [846]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(
% quotient(B,
% quotient(
% difference(
% i(i(A)),B),B)),
% eta(A)),
% eta(A)),
% eta(A)))) <->
% quotient(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))),
% quotient(difference(difference(quotient(eta(A),j(eta(A))),i(i(i(i(i(i(A))))))),
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A))))),
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))))) collapsed.
% Current number of equations to process: 105
% Current number of ordered equations: 0
% Current number of rules: 595
% New rule produced :
% [996]
% quotient(quotient(A,quotient(B,A)),t(A,quotient(A,B))) ->
% t(t(A,quotient(A,B)),A)
% Current number of equations to process: 104
% Current number of ordered equations: 0
% Current number of rules: 596
% Rule [910]
% difference(i(i(B)),quotient(quotient(eta(B),i(quotient(B,quotient(
% difference(A,B),B)))),
% quotient(difference(eta(B),quotient(B,quotient(
% difference(A,B),B))),
% quotient(B,quotient(difference(A,B),B))))) ->
% quotient(A,quotient(difference(eta(B),A),A)) is composed into [910]
% difference(
% i(
% i(B)),
% quotient(
% quotient(
% eta(B),
% i(
% quotient(B,
% quotient(
% difference(A,B),B)))),
% quotient(
% difference(
% eta(B),
% quotient(B,
% quotient(
% difference(A,B),B))),
% quotient(B,
% quotient(
% difference(A,B),B)))))
% ->
% quotient(
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(B)),B)
% Rule [774]
% difference(eta(B),quotient(difference(i(B),quotient(quotient(j(B),
% quotient(difference(A,
% j(B)),
% j(B))),quotient(
% difference(B,
% quotient(
% j(B),
% quotient(
% difference(A,
% j(B)),
% j(B)))),
% quotient(
% j(B),
% quotient(
% difference(A,
% j(B)),
% j(B)))))),B))
% ->
% quotient(quotient(quotient(A,quotient(difference(eta(B),A),A)),j(B)),B) is composed into
% [774]
% difference(eta(B),quotient(difference(i(B),quotient(quotient(j(B),quotient(
% difference(A,
% j(B)),
% j(B))),
% quotient(difference(B,quotient(
% j(B),
% quotient(
% difference(A,
% j(B)),
% j(B)))),
% quotient(j(B),quotient(difference(A,
% j(B)),
% j(B)))))),B)) ->
% quotient(quotient(quotient(quotient(quotient(A,quotient(difference(B,A),A)),
% eta(B)),B),j(B)),B)
% Rule [772]
% quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A))
% <->
% quotient(quotient(A,quotient(difference(quotient(difference(i(B),
% quotient(quotient(C,
% quotient(
% difference(
% eta(B),C),C)),
% quotient(difference(B,
% quotient(C,
% quotient(
% difference(
% eta(B),C),C))),
% quotient(C,quotient(
% difference(
% eta(B),C),C))))),B),A),A)),
% eta(B)) is composed into [772]
% quotient(A,quotient(difference(quotient(B,
% quotient(
% difference(C,B),B)),A),A))
% <->
% quotient(quotient(A,quotient(difference(
% quotient(difference(
% i(B),
% quotient(
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(B,C),C)),
% eta(B)),B),
% quotient(
% difference(B,
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(B,C),C)),
% eta(B)),B)),
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(B,C),C)),
% eta(B)),B)))),B),A),A)),
% eta(B))
% Rule [769]
% quotient(difference(i(A),quotient(eta(A),i(B))),quotient(difference(
% i(A),difference(
% i(A),
% quotient(
% eta(A),
% i(B)))),
% difference(i(A),
% quotient(eta(A),
% i(B))))) ->
% quotient(difference(i(A),quotient(quotient(B,quotient(difference(i(A),B),B)),
% quotient(quotient(difference(A,quotient(B,
% quotient(
% difference(
% eta(A),B),B))),A),
% quotient(B,quotient(difference(i(A),B),B))))),A) is composed into
% [769]
% quotient(difference(i(A),quotient(eta(A),i(B))),quotient(difference(i(A),
% difference(i(A),
% quotient(eta(A),
% i(B)))),difference(
% i(A),
% quotient(
% eta(A),
% i(B))))) ->
% quotient(difference(i(A),quotient(quotient(B,quotient(difference(i(A),B),B)),
% quotient(quotient(difference(A,quotient(quotient(
% quotient(B,
% quotient(
% difference(A,B),B)),
% eta(A)),A)),A),
% quotient(B,quotient(difference(i(A),B),B))))),A)
% Rule [762]
% quotient(difference(quotient(quotient(A,quotient(difference(B,A),A)),
% j(quotient(A,quotient(difference(B,A),A)))),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(difference(difference(quotient(quotient(A,quotient(difference(B,A),A)),
% j(quotient(A,quotient(difference(B,A),A)))),
% quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(quotient(quotient(difference(eta(A),
% quotient(A,quotient(
% difference(B,A),A))),B),A),
% quotient(A,quotient(difference(B,A),A))))),difference(
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% j(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))))),
% difference(quotient(quotient(A,quotient(difference(B,A),A)),j(quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))))
% <->
% difference(quotient(quotient(A,quotient(difference(B,A),A)),j(quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(
% difference(
% quotient(C,
% quotient(
% difference(
% eta(A),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))) is composed into
% [762]
% quotient(difference(quotient(quotient(A,quotient(difference(B,A),A)),
% j(quotient(A,quotient(difference(B,A),A)))),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(difference(difference(quotient(quotient(A,quotient(difference(B,A),A)),
% j(quotient(A,quotient(difference(B,A),A)))),
% quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(quotient(quotient(difference(eta(A),quotient(A,
% quotient(
% difference(B,A),A))),B),A),
% quotient(A,quotient(difference(B,A),A))))),difference(
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% j(quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))))),
% difference(quotient(quotient(A,quotient(difference(B,A),A)),j(quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))))
% <->
% difference(quotient(quotient(A,quotient(difference(B,A),A)),j(quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(A,C),C)),
% eta(A)),A),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% Rule [685]
% quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A))
% <->
% quotient(quotient(A,quotient(difference(quotient(quotient(quotient(
% difference(
% i(B),C),
% quotient(
% difference(
% eta(V_3),
% difference(
% i(B),C)),
% difference(
% i(B),C))),
% i(B)),B),A),A)),
% eta(V_3)) is composed into [685]
% quotient(A,quotient(difference(quotient(B,
% quotient(
% difference(C,B),B)),A),A))
% <->
% quotient(quotient(A,quotient(difference(
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(
% difference(
% i(B),C),
% quotient(
% difference(V_3,
% difference(
% i(B),C)),
% difference(
% i(B),C))),
% eta(V_3)),V_3),
% i(B)),B),A),A)),
% eta(V_3))
% Rule [644]
% quotient(quotient(eta(A),j(eta(A))),quotient(difference(B,quotient(
% eta(A),
% j(eta(A)))),
% quotient(eta(A),j(eta(A))))) <->
% quotient(difference(i(i(A)),quotient(difference(i(A),quotient(quotient(
% quotient(
% eta(A),
% i(B)),
% quotient(
% difference(
% i(A),
% quotient(
% eta(A),
% i(B))),
% quotient(
% eta(A),
% i(B)))),
% quotient(quotient(
% difference(A,
% quotient(
% quotient(
% eta(A),
% i(B)),
% quotient(
% quotient(
% eta(A),
% quotient(
% i(B),
% quotient(
% difference(
% eta(A),
% i(B)),
% i(B)))),
% quotient(
% eta(A),
% i(B))))),A),
% quotient(quotient(
% eta(A),
% i(B)),
% quotient(difference(
% i(A),
% quotient(
% eta(A),
% i(B))),
% quotient(eta(A),
% i(B))))))),A)),
% i(A)) is composed into [644]
% quotient(quotient(eta(A),j(eta(A))),quotient(
% difference(B,
% quotient(
% eta(A),
% j(eta(A)))),
% quotient(
% eta(A),
% j(eta(A)))))
% <->
% quotient(difference(i(i(A)),quotient(difference(
% i(A),
% quotient(
% quotient(
% quotient(
% eta(A),
% i(B)),
% quotient(
% difference(
% i(A),
% quotient(
% eta(A),
% i(B))),
% quotient(
% eta(A),
% i(B)))),
% quotient(
% quotient(
% difference(A,
% quotient(
% quotient(
% eta(A),
% i(B)),
% quotient(
% quotient(
% eta(A),
% quotient(
% quotient(
% quotient(
% i(B),
% quotient(
% difference(A,
% i(B)),
% i(B))),
% eta(A)),A)),
% quotient(
% eta(A),
% i(B))))),A),
% quotient(
% quotient(
% eta(A),
% i(B)),
% quotient(
% difference(
% i(A),
% quotient(
% eta(A),
% i(B))),
% quotient(
% eta(A),
% i(B))))))),A)),
% i(A))
% Rule [550]
% quotient(difference(i(difference(A,B)),quotient(eta(A),i(difference(A,B)))),
% difference(A,B)) ->
% difference(A,quotient(B,quotient(difference(eta(A),B),B))) is composed into
% [550]
% quotient(difference(i(difference(A,B)),quotient(eta(A),i(difference(A,B)))),
% difference(A,B)) ->
% difference(A,quotient(quotient(quotient(B,quotient(difference(A,B),B)),
% eta(A)),A))
% Rule [444]
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% <->
% quotient(quotient(difference(i(A),quotient(B,quotient(difference(
% quotient(quotient(C,
% quotient(
% difference(
% eta(V_3),C),C)),
% quotient(difference(A,
% quotient(C,
% quotient(
% difference(
% eta(V_3),C),C))),
% quotient(C,
% quotient(difference(
% eta(V_3),C),C)))),B),B))),A),
% eta(V_3)) is composed into [444]
% quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(C,quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))) <->
% quotient(quotient(difference(i(A),quotient(B,
% quotient(
% difference(
% quotient(
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% eta(V_3)),V_3),
% quotient(
% difference(A,
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% eta(V_3)),V_3)),
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% eta(V_3)),V_3))),B),B))),A),
% eta(V_3))
% Rule [421]
% difference(eta(A),quotient(A,quotient(difference(B,A),A))) <->
% quotient(quotient(quotient(difference(j(A),B),quotient(difference(
% eta(A),difference(
% j(A),B)),
% difference(j(A),B))),
% j(A)),A) is composed into [421]
% difference(eta(A),quotient(A,
% quotient(difference(B,A),A)))
% <->
% quotient(quotient(quotient(quotient(
% quotient(
% difference(
% j(A),B),
% quotient(
% difference(A,
% difference(
% j(A),B)),
% difference(
% j(A),B))),
% eta(A)),A),
% j(A)),A)
% Rule [420]
% difference(A,quotient(B,quotient(difference(i(A),B),B))) ->
% quotient(difference(A,quotient(B,quotient(difference(eta(A),B),B))),A) is composed into
% [420]
% difference(A,quotient(B,quotient(difference(i(A),B),B))) ->
% quotient(difference(A,quotient(quotient(quotient(B,quotient(difference(A,B),B)),
% eta(A)),A)),A)
% Rule [404]
% quotient(difference(i(quotient(A,quotient(difference(B,A),A))),quotient(
% quotient(
% eta(A),
% j(
% eta(
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% eta(A),
% j(
% eta(
% quotient(A,
% quotient(
% difference(B,A),A)))))),
% quotient(
% eta(A),
% j(
% eta(
% quotient(A,
% quotient(
% difference(B,A),A)))))))),
% quotient(A,quotient(difference(B,A),A))) ->
% quotient(quotient(difference(i(A),quotient(quotient(B,quotient(difference(
% eta(A),B),B)),
% quotient(difference(A,quotient(B,
% quotient(
% difference(
% eta(A),B),B))),
% quotient(B,quotient(difference(
% eta(A),B),B))))),A),
% quotient(difference(eta(quotient(A,quotient(difference(B,A),A))),
% quotient(difference(i(A),quotient(quotient(B,quotient(difference(
% eta(A),B),B)),
% quotient(difference(A,quotient(B,
% quotient(
% difference(
% eta(A),B),B))),
% quotient(B,quotient(difference(
% eta(A),B),B))))),A)),
% quotient(difference(i(A),quotient(quotient(B,quotient(difference(
% eta(A),B),B)),
% quotient(difference(A,quotient(B,quotient(
% difference(
% eta(A),B),B))),
% quotient(B,quotient(difference(eta(A),B),B))))),A))) is composed into
% [404]
% quotient(difference(i(quotient(A,quotient(difference(B,A),A))),quotient(
% quotient(
% eta(A),
% j(eta(
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% eta(A),
% j(eta(
% quotient(A,
% quotient(
% difference(B,A),A)))))),
% quotient(
% eta(A),
% j(eta(
% quotient(A,
% quotient(
% difference(B,A),A)))))))),
% quotient(A,quotient(difference(B,A),A))) ->
% quotient(quotient(quotient(quotient(difference(i(A),quotient(quotient(
% quotient(
% quotient(B,
% quotient(
% difference(A,B),B)),
% eta(A)),A),
% quotient(difference(A,
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(A,B),B)),
% eta(A)),A)),
% quotient(quotient(
% quotient(B,
% quotient(
% difference(A,B),B)),
% eta(A)),A)))),A),
% quotient(difference(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(i(A),quotient(quotient(
% quotient(
% quotient(B,
% quotient(
% difference(A,B),B)),
% eta(A)),A),
% quotient(difference(A,
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(A,B),B)),
% eta(A)),A)),
% quotient(quotient(
% quotient(B,
% quotient(
% difference(A,B),B)),
% eta(A)),A)))),A)),
% quotient(difference(i(A),quotient(quotient(quotient(
% quotient(B,
% quotient(
% difference(A,B),B)),
% eta(A)),A),
% quotient(difference(A,quotient(
% quotient(
% quotient(B,
% quotient(
% difference(A,B),B)),
% eta(A)),A)),
% quotient(quotient(quotient(B,
% quotient(
% difference(A,B),B)),
% eta(A)),A)))),A))),
% eta(quotient(A,quotient(difference(B,A),A)))),quotient(A,quotient(
% difference(B,A),A)))
% Rule [349]
% difference(eta(A),quotient(i(A),quotient(difference(B,i(A)),i(A)))) ->
% quotient(quotient(difference(A,quotient(B,quotient(difference(eta(A),B),B))),A),
% i(A)) is composed into [349]
% difference(eta(A),quotient(i(A),quotient(
% difference(B,
% i(A)),i(A)))) ->
% quotient(quotient(difference(A,quotient(quotient(
% quotient(B,
% quotient(
% difference(A,B),B)),
% eta(A)),A)),A),
% i(A))
% Rule [296]
% quotient(eta(A),i(quotient(B,quotient(difference(t(eta(A),C),B),B)))) ->
% t(eta(A),quotient(quotient(B,quotient(difference(eta(A),B),B)),quotient(
% difference(C,
% quotient(B,
% quotient(
% difference(
% eta(A),B),B))),
% quotient(B,
% quotient(
% difference(
% eta(A),B),B))))) is composed into
% [296]
% quotient(eta(A),i(quotient(B,quotient(difference(t(eta(A),C),B),B)))) ->
% t(eta(A),quotient(quotient(quotient(quotient(B,quotient(difference(A,B),B)),
% eta(A)),A),quotient(difference(C,quotient(
% quotient(
% quotient(B,
% quotient(
% difference(A,B),B)),
% eta(A)),A)),
% quotient(quotient(quotient(B,quotient(
% difference(A,B),B)),
% eta(A)),A))))
% Rule [280]
% difference(j(A),quotient(B,quotient(difference(A,B),B))) ->
% quotient(quotient(difference(j(A),B),quotient(difference(eta(A),
% difference(j(A),B)),
% difference(j(A),B))),j(A)) is composed into
% [280]
% difference(j(A),quotient(B,quotient(difference(A,B),B))) ->
% quotient(quotient(quotient(quotient(difference(j(A),B),quotient(difference(A,
% difference(
% j(A),B)),
% difference(j(A),B))),
% eta(A)),A),j(A))
% Rule [273]
% difference(eta(B),eta(A)) ->
% quotient(eta(quotient(A,quotient(difference(eta(B),A),A))),eta(B)) is composed into
% [273]
% difference(eta(B),eta(A)) ->
% quotient(eta(quotient(quotient(quotient(A,quotient(difference(B,A),A)),
% eta(B)),B)),eta(B))
% New rule produced :
% [997]
% quotient(A,quotient(difference(eta(B),A),A)) ->
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),eta(B)),B)
% Rule
% [274]
% quotient(quotient(quotient(A,quotient(difference(eta(B),A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(
% eta(B),A),A))),
% quotient(A,
% quotient(
% difference(
% eta(B),A),A)))),
% eta(B)) <->
% quotient(t(quotient(A,quotient(difference(eta(B),A),A)),C),quotient(difference(A,
% t(
% quotient(A,
% quotient(
% difference(
% eta(B),A),A)),C)),
% t(quotient(A,
% quotient(
% difference(
% eta(B),A),A)),C)))
% collapsed.
% Rule
% [275]
% quotient(t(quotient(A,quotient(difference(eta(B),A),A)),C),quotient(difference(A,
% t(
% quotient(A,
% quotient(
% difference(
% eta(B),A),A)),C)),
% t(quotient(A,
% quotient(
% difference(
% eta(B),A),A)),C)))
% <->
% quotient(quotient(quotient(A,quotient(difference(eta(B),A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(
% eta(B),A),A))),
% quotient(A,
% quotient(
% difference(
% eta(B),A),A)))),
% eta(B)) collapsed.
% Rule
% [398]
% t(eta(A),quotient(B,quotient(difference(eta(A),B),B))) ->
% quotient(eta(A),i(B)) collapsed.
% Rule
% [399]
% quotient(t(i(i(A)),B),quotient(difference(eta(A),t(i(i(A)),B)),t(i(i(A)),B)))
% <-> quotient(quotient(eta(A),i(quotient(A,quotient(difference(B,A),A)))),A)
% collapsed.
% Rule
% [405]
% quotient(eta(A),i(quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(
% eta(A),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))))
% ->
% quotient(eta(A),quotient(quotient(i(quotient(B,quotient(difference(eta(A),B),B))),A),
% eta(A))) collapsed.
% Rule
% [406]
% quotient(difference(j(A),quotient(quotient(B,quotient(difference(eta(A),B),B)),
% quotient(difference(j(j(A)),quotient(B,quotient(
% difference(
% eta(A),B),B))),
% quotient(B,quotient(difference(eta(A),B),B))))),
% j(j(A))) <->
% quotient(quotient(j(j(A)),quotient(difference(B,j(j(A))),j(j(A)))),quotient(
% difference(
% eta(A),
% quotient(
% j(
% j(A)),
% quotient(
% difference(B,
% j(
% j(A))),
% j(
% j(A))))),
% quotient(
% j(
% j(A)),
% quotient(
% difference(B,
% j(
% j(A))),
% j(
% j(A))))))
% collapsed.
% Rule
% [407]
% quotient(quotient(j(j(A)),quotient(difference(B,j(j(A))),j(j(A)))),quotient(
% difference(
% eta(A),
% quotient(
% j(
% j(A)),
% quotient(
% difference(B,
% j(
% j(A))),
% j(
% j(A))))),
% quotient(
% j(
% j(A)),
% quotient(
% difference(B,
% j(
% j(A))),
% j(
% j(A))))))
% <->
% quotient(difference(j(A),quotient(quotient(B,quotient(difference(eta(A),B),B)),
% quotient(difference(j(j(A)),quotient(B,quotient(
% difference(
% eta(A),B),B))),
% quotient(B,quotient(difference(eta(A),B),B))))),
% j(j(A))) collapsed.
% Rule
% [422]
% quotient(quotient(quotient(difference(j(A),B),quotient(difference(eta(A),
% difference(j(A),B)),
% difference(j(A),B))),j(A)),A)
% <-> difference(eta(A),quotient(A,quotient(difference(B,A),A))) collapsed.
% Rule
% [453]
% quotient(eta(A),i(quotient(quotient(B,quotient(difference(C,B),B)),quotient(
% difference(
% eta(
% quotient(
% eta(A),
% i(B))),
% quotient(B,
% quotient(
% difference(C,B),B))),
% quotient(B,
% quotient(
% difference(C,B),B))))))
% ->
% quotient(eta(A),i(quotient(difference(i(B),quotient(quotient(C,quotient(
% difference(
% eta(quotient(
% eta(A),
% i(B))),C),C)),
% quotient(difference(B,quotient(C,
% quotient(
% difference(
% eta(
% quotient(
% eta(A),
% i(B))),C),C))),
% quotient(C,quotient(difference(
% eta(quotient(
% eta(A),
% i(B))),C),C))))),B)))
% collapsed.
% Rule
% [454]
% difference(quotient(A,quotient(difference(B,A),A)),quotient(quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(
% eta(A),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(difference(C,
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(
% eta(A),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(difference(
% eta(A),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))))
% <->
% difference(quotient(A,quotient(difference(B,A),A)),quotient(quotient(
% difference(
% i(A),quotient(
% quotient(B,
% quotient(
% difference(
% eta(A),B),B)),
% quotient(
% difference(A,
% quotient(B,
% quotient(
% difference(
% eta(A),B),B))),
% quotient(B,
% quotient(
% difference(
% eta(A),B),B))))),A),
% quotient(difference(C,
% quotient(
% difference(
% i(A),quotient(
% quotient(B,
% quotient(
% difference(
% eta(A),B),B)),
% quotient(
% difference(A,
% quotient(B,
% quotient(
% difference(
% eta(A),B),B))),
% quotient(B,
% quotient(
% difference(
% eta(A),B),B))))),A)),
% quotient(difference(
% i(A),quotient(
% quotient(B,
% quotient(
% difference(
% eta(A),B),B)),
% quotient(
% difference(A,
% quotient(B,
% quotient(
% difference(
% eta(A),B),B))),
% quotient(B,
% quotient(
% difference(
% eta(A),B),B))))),A))))
% collapsed.
% Rule
% [455]
% difference(quotient(A,quotient(difference(B,A),A)),quotient(quotient(
% difference(
% i(A),quotient(
% quotient(B,
% quotient(
% difference(
% eta(A),B),B)),
% quotient(
% difference(A,
% quotient(B,
% quotient(
% difference(
% eta(A),B),B))),
% quotient(B,
% quotient(
% difference(
% eta(A),B),B))))),A),
% quotient(difference(C,
% quotient(
% difference(
% i(A),quotient(
% quotient(B,
% quotient(
% difference(
% eta(A),B),B)),
% quotient(
% difference(A,
% quotient(B,
% quotient(
% difference(
% eta(A),B),B))),
% quotient(B,
% quotient(
% difference(
% eta(A),B),B))))),A)),
% quotient(difference(
% i(A),quotient(
% quotient(B,
% quotient(
% difference(
% eta(A),B),B)),
% quotient(
% difference(A,
% quotient(B,
% quotient(
% difference(
% eta(A),B),B))),
% quotient(B,
% quotient(
% difference(
% eta(A),B),B))))),A))))
% <->
% difference(quotient(A,quotient(difference(B,A),A)),quotient(quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(
% eta(A),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(difference(C,
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(
% eta(A),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(difference(
% eta(A),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))))
% collapsed.
% Rule
% [501]
% quotient(B,quotient(difference(quotient(C,quotient(difference(eta(A),C),C)),B),B))
% ->
% quotient(quotient(B,quotient(difference(C,B),B)),quotient(difference(
% eta(A),quotient(B,
% quotient(
% difference(C,B),B))),
% quotient(B,quotient(
% difference(C,B),B))))
% collapsed.
% Rule
% [530]
% quotient(quotient(difference(i(A),quotient(quotient(B,quotient(difference(
% i(A),B),B)),
% quotient(quotient(difference(A,quotient(B,
% quotient(
% difference(
% eta(A),B),B))),A),
% quotient(B,quotient(difference(i(A),B),B))))),A),
% difference(i(A),quotient(eta(A),i(B)))) ->
% t(difference(i(A),quotient(eta(A),i(B))),i(A)) collapsed.
% Rule
% [546]
% quotient(difference(i(t(eta(A),B)),quotient(quotient(t(eta(A),C),quotient(
% difference(
% eta(
% t(eta(A),B)),
% t(eta(A),C)),
% t(eta(A),C))),
% quotient(difference(t(eta(A),B),quotient(
% t(
% eta(A),C),
% quotient(
% difference(
% eta(
% t(
% eta(A),B)),
% t(
% eta(A),C)),
% t(
% eta(A),C)))),
% quotient(t(eta(A),C),quotient(difference(
% eta(
% t(eta(A),B)),
% t(eta(A),C)),
% t(eta(A),C)))))),
% t(eta(A),B)) <->
% quotient(t(eta(A),quotient(B,quotient(difference(C,B),B))),quotient(difference(
% eta(
% t(
% eta(A),B)),
% t(
% eta(A),
% quotient(B,
% quotient(
% difference(C,B),B)))),
% t(eta(A),quotient(B,
% quotient(
% difference(C,B),B)))))
% collapsed.
% Rule
% [547]
% quotient(t(eta(A),quotient(B,quotient(difference(C,B),B))),quotient(difference(
% eta(
% t(
% eta(A),B)),
% t(
% eta(A),
% quotient(B,
% quotient(
% difference(C,B),B)))),
% t(eta(A),quotient(B,
% quotient(
% difference(C,B),B)))))
% <->
% quotient(difference(i(t(eta(A),B)),quotient(quotient(t(eta(A),C),quotient(
% difference(
% eta(
% t(eta(A),B)),
% t(eta(A),C)),
% t(eta(A),C))),
% quotient(difference(t(eta(A),B),quotient(
% t(
% eta(A),C),
% quotient(
% difference(
% eta(
% t(
% eta(A),B)),
% t(
% eta(A),C)),
% t(
% eta(A),C)))),
% quotient(t(eta(A),C),quotient(difference(
% eta(
% t(eta(A),B)),
% t(eta(A),C)),
% t(eta(A),C)))))),
% t(eta(A),B)) collapsed.
% Rule
% [551]
% quotient(quotient(quotient(eta(A),i(B)),quotient(difference(quotient(C,
% quotient(
% difference(
% eta(V_3),C),C)),B),B)),
% eta(V_3)) -> quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B))
% collapsed.
% Rule
% [553]
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% eta(C),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% <->
% quotient(quotient(difference(i(A),quotient(B,quotient(difference(quotient(
% eta(C),
% i(quotient(C,
% quotient(
% difference(A,C),C)))),B),B))),A),C)
% collapsed.
% Rule
% [555]
% quotient(eta(A),i(quotient(difference(i(B),quotient(quotient(j(quotient(
% eta(A),
% i(B))),
% quotient(difference(
% eta(quotient(
% eta(A),
% i(B))),
% j(quotient(
% eta(A),
% i(B)))),
% j(quotient(eta(A),i(B))))),
% quotient(difference(B,quotient(
% j(quotient(
% eta(A),
% i(B))),
% quotient(
% difference(
% eta(
% quotient(
% eta(A),
% i(B))),
% j(quotient(
% eta(A),
% i(B)))),
% j(quotient(
% eta(A),
% i(B)))))),
% quotient(j(quotient(eta(A),i(B))),
% quotient(difference(eta(quotient(
% eta(A),
% i(B))),
% j(quotient(eta(A),i(B)))),
% j(quotient(eta(A),i(B)))))))),B)))
% -> quotient(eta(quotient(eta(A),i(B))),j(eta(quotient(eta(A),i(B)))))
% collapsed.
% Rule
% [558]
% quotient(difference(quotient(B,quotient(difference(eta(A),B),B)),quotient(
% difference(
% i(B),
% quotient(
% j(quotient(B,
% quotient(
% difference(
% eta(A),B),B))),
% quotient(
% difference(B,
% j(quotient(B,
% quotient(
% difference(
% eta(A),B),B)))),
% j(quotient(B,
% quotient(
% difference(
% eta(A),B),B)))))),B)),
% j(quotient(B,quotient(difference(eta(A),B),B)))) -> j(eta(A)) collapsed.
% Rule
% [565]
% difference(B,quotient(quotient(B,quotient(difference(i(A),B),B)),quotient(
% difference(
% eta(A),
% quotient(B,
% quotient(
% difference(
% i(A),B),B))),
% quotient(B,
% quotient(
% difference(
% i(A),B),B)))))
% -> j(A) collapsed.
% Rule
% [628]
% quotient(difference(i(quotient(A,quotient(C,quotient(difference(eta(B),C),C)))),
% quotient(difference(i(C),quotient(quotient(A,quotient(C,quotient(
% difference(
% eta(B),C),C))),
% quotient(difference(C,quotient(A,quotient(C,
% quotient(
% difference(
% eta(B),C),C)))),
% quotient(A,quotient(C,quotient(difference(
% eta(B),C),C)))))),C)),
% quotient(A,quotient(C,quotient(difference(eta(B),C),C)))) ->
% quotient(A,eta(B)) collapsed.
% Rule
% [639]
% difference(eta(B),quotient(quotient(i(i(B)),difference(quotient(A,quotient(
% difference(
% eta(B),A),A)),B)),B))
% ->
% quotient(quotient(A,quotient(difference(quotient(eta(B),j(eta(B))),A),A)),
% j(j(B))) collapsed.
% Rule
% [672]
% quotient(quotient(eta(A),j(eta(B))),difference(quotient(A,quotient(difference(
% eta(B),A),A)),
% eta(B))) ->
% quotient(quotient(eta(A),i(quotient(quotient(A,quotient(difference(B,A),A)),
% eta(B)))),B) collapsed.
% Rule
% [683]
% quotient(quotient(quotient(quotient(eta(A),i(B)),quotient(difference(
% eta(C),B),B)),
% difference(quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(eta(C),quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))),quotient(B,
% quotient(
% difference(
% eta(C),B),B)))),
% eta(C)) -> quotient(eta(A),i(quotient(A,quotient(difference(B,A),A))))
% collapsed.
% Rule
% [686]
% quotient(quotient(A,quotient(difference(quotient(quotient(quotient(difference(
% i(B),C),
% quotient(difference(
% eta(V_3),
% difference(
% i(B),C)),
% difference(
% i(B),C))),i(B)),B),A),A)),
% eta(V_3)) <->
% quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A))
% collapsed.
% Rule
% [729]
% difference(B,quotient(quotient(B,quotient(difference(A,B),B)),quotient(
% difference(
% eta(B),
% quotient(B,
% quotient(
% difference(A,B),B))),
% quotient(B,
% quotient(
% difference(A,B),B)))))
% -> quotient(A,quotient(difference(eta(B),A),A)) collapsed.
% Rule
% [743]
% quotient(difference(i(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% quotient(quotient(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(C,A),A),A))),
% quotient(difference(eta(difference(quotient(A,j(A)),
% quotient(A,quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(C,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(C,A),A),A))),
% quotient(difference(eta(difference(quotient(A,j(A)),
% quotient(A,quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(C,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A)))))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))),
% quotient(difference(eta(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,A),A),A)))))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A))),
% quotient(difference(eta(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(C,B),B)),A),A),A)))))
% collapsed.
% Rule
% [744]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A))),
% quotient(difference(eta(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(C,B),B)),A),A),A)))))
% <->
% quotient(difference(i(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% quotient(quotient(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(C,A),A),A))),
% quotient(difference(eta(difference(quotient(A,j(A)),
% quotient(A,quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(C,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(C,A),A),A))),
% quotient(difference(eta(difference(quotient(A,j(A)),
% quotient(A,quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(C,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A)))))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))),
% quotient(difference(eta(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,A),A),A)))))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))
% collapsed.
% Rule
% [761]
% difference(quotient(quotient(A,quotient(difference(B,A),A)),j(quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(
% quotient(C,
% quotient(
% difference(
% eta(A),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% <->
% quotient(difference(quotient(quotient(A,quotient(difference(B,A),A)),
% j(quotient(A,quotient(difference(B,A),A)))),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(difference(difference(quotient(quotient(A,quotient(difference(B,A),A)),
% j(quotient(A,quotient(difference(B,A),A)))),
% quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(quotient(quotient(difference(eta(A),quotient(A,
% quotient(
% difference(B,A),A))),B),A),
% quotient(A,quotient(difference(B,A),A))))),difference(
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% j(quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))))),
% difference(quotient(quotient(A,quotient(difference(B,A),A)),j(quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))))
% collapsed.
% Rule
% [773]
% quotient(quotient(A,quotient(difference(quotient(difference(i(B),quotient(
% quotient(C,
% quotient(
% difference(
% eta(B),C),C)),
% quotient(
% difference(B,
% quotient(C,
% quotient(
% difference(
% eta(B),C),C))),
% quotient(C,
% quotient(
% difference(
% eta(B),C),C))))),B),A),A)),
% eta(B)) <->
% quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A))
% collapsed.
% Rule
% [842]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(
% eta(A),B),B)),A),A),A)))
% ->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(quotient(quotient(quotient(eta(A),i(quotient(A,j(A)))),A),A),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% collapsed.
% Rule
% [886]
% difference(i(B),quotient(quotient(i(B),quotient(difference(A,i(B)),i(B))),
% quotient(quotient(quotient(difference(B,quotient(A,quotient(
% difference(
% eta(B),A),A))),B),
% i(B)),quotient(i(B),quotient(difference(A,i(B)),
% i(B)))))) ->
% quotient(A,quotient(difference(eta(B),A),A)) collapsed.
% Rule
% [945]
% difference(i(i(i(B))),quotient(quotient(eta(B),i(quotient(i(B),quotient(
% difference(A,
% i(B)),
% i(B))))),
% quotient(quotient(quotient(difference(B,quotient(A,
% quotient(
% difference(
% eta(B),A),A))),B),
% i(B)),quotient(i(B),quotient(difference(A,
% i(B)),i(B))))))
% -> quotient(A,quotient(difference(eta(B),A),A)) collapsed.
% Rule
% [982]
% quotient(quotient(eta(B),quotient(i(quotient(B,quotient(difference(A,B),B))),
% quotient(difference(eta(B),i(quotient(B,quotient(
% difference(A,B),B)))),
% i(quotient(B,quotient(difference(A,B),B)))))),A) ->
% B collapsed.
% Rule
% [983]
% quotient(eta(A),quotient(i(quotient(quotient(B,quotient(difference(C,B),B)),
% eta(A))),quotient(difference(eta(A),i(quotient(
% quotient(B,
% quotient(
% difference(C,B),B)),
% eta(A)))),
% i(quotient(quotient(B,quotient(difference(C,B),B)),
% eta(A)))))) ->
% quotient(quotient(B,quotient(difference(C,B),B)),eta(A)) collapsed.
% Rule
% [985]
% quotient(eta(A),quotient(i(quotient(eta(A),i(quotient(i(A),quotient(difference(B,
% i(A)),
% i(A)))))),
% quotient(difference(eta(A),i(quotient(eta(A),i(quotient(
% i(A),quotient(
% difference(B,
% i(A)),
% i(A))))))),
% i(quotient(eta(A),i(quotient(i(A),quotient(difference(B,i(A)),
% i(A))))))))) ->
% quotient(quotient(eta(A),i(quotient(quotient(i(A),quotient(difference(B,i(A)),
% i(A))),quotient(quotient(
% quotient(
% difference(A,
% quotient(B,
% quotient(
% difference(
% eta(A),B),B))),A),
% i(A)),
% quotient(i(A),
% quotient(difference(B,
% i(A)),
% i(A))))))),eta(A))
% collapsed.
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 561
% New rule produced :
% [998]
% quotient(quotient(quotient(A,B),t(quotient(A,B),B)),quotient(quotient(A,B),A))
% -> quotient(A,B)
% Current number of equations to process: 133
% Current number of ordered equations: 0
% Current number of rules: 562
% New rule produced :
% [999]
% t(eta(A),quotient(quotient(quotient(B,quotient(difference(A,B),B)),eta(A)),A))
% -> quotient(eta(A),i(B))
% Current number of equations to process: 132
% Current number of ordered equations: 0
% Current number of rules: 563
% New rule produced :
% [1000]
% quotient(quotient(A,quotient(t(quotient(A,B),B),A)),t(t(quotient(A,B),B),
% quotient(A,B))) -> A
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 564
% New rule produced :
% [1001]
% difference(i(i(A)),quotient(A,quotient(difference(B,A),A))) ->
% quotient(quotient(eta(A),i(quotient(quotient(B,quotient(difference(A,B),B)),
% eta(A)))),i(i(A)))
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 565
% New rule produced :
% [1002]
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),quotient(B,
% quotient(A,
% quotient(difference(B,A),A)))),A)
% -> quotient(A,quotient(difference(B,A),A))
% Current number of equations to process: 130
% Current number of ordered equations: 0
% Current number of rules: 566
% New rule produced :
% [1003]
% quotient(quotient(t(quotient(A,B),B),t(t(quotient(A,B),B),quotient(A,B))),
% quotient(t(quotient(A,B),B),A)) -> t(quotient(A,B),B)
% Current number of equations to process: 128
% Current number of ordered equations: 0
% Current number of rules: 567
% New rule produced :
% [1004]
% quotient(quotient(eta(A),j(eta(B))),difference(quotient(quotient(quotient(A,
% quotient(
% difference(B,A),A)),
% eta(B)),B),eta(B)))
% ->
% quotient(quotient(eta(A),i(quotient(quotient(A,quotient(difference(B,A),A)),
% eta(B)))),B)
% Current number of equations to process: 127
% Current number of ordered equations: 0
% Current number of rules: 568
% New rule produced :
% [1005]
% quotient(quotient(A,quotient(difference(quotient(quotient(eta(B),i(quotient(
% quotient(B,
% quotient(
% difference(C,B),B)),
% eta(C)))),C),A),A)),
% eta(C)) -> quotient(quotient(A,quotient(difference(B,A),A)),eta(B))
% Current number of equations to process: 126
% Current number of ordered equations: 0
% Current number of rules: 569
% New rule produced :
% [1006]
% quotient(quotient(eta(A),i(quotient(A,quotient(difference(B,A),A)))),A) <->
% quotient(quotient(quotient(t(i(i(A)),B),quotient(difference(A,t(i(i(A)),B)),
% t(i(i(A)),B))),eta(A)),A)
% Current number of equations to process: 125
% Current number of ordered equations: 1
% Current number of rules: 570
% New rule produced :
% [1007]
% quotient(quotient(quotient(t(i(i(A)),B),quotient(difference(A,t(i(i(A)),B)),
% t(i(i(A)),B))),eta(A)),A) <->
% quotient(quotient(eta(A),i(quotient(A,quotient(difference(B,A),A)))),A)
% Current number of equations to process: 125
% Current number of ordered equations: 0
% Current number of rules: 571
% New rule produced :
% [1008]
% quotient(quotient(quotient(eta(A),i(B)),quotient(difference(quotient(
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% eta(V_3)),V_3),B),B)),
% eta(V_3)) -> quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B))
% Current number of equations to process: 124
% Current number of ordered equations: 0
% Current number of rules: 572
% New rule produced :
% [1009]
% difference(eta(B),quotient(quotient(i(i(B)),difference(quotient(quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(B)),B),B)),B))
% ->
% quotient(quotient(A,quotient(difference(quotient(eta(B),j(eta(B))),A),A)),
% j(j(B)))
% Current number of equations to process: 123
% Current number of ordered equations: 0
% Current number of rules: 573
% New rule produced :
% [1010]
% difference(B,quotient(quotient(quotient(quotient(B,quotient(difference(
% i(A),B),B)),
% quotient(quotient(difference(A,quotient(
% quotient(
% quotient(B,
% quotient(
% difference(A,B),B)),
% eta(A)),A)),A),
% quotient(B,quotient(difference(i(A),B),B)))),
% eta(A)),A)) -> j(A)
% Current number of equations to process: 121
% Current number of ordered equations: 0
% Current number of rules: 574
% New rule produced :
% [1011]
% difference(B,quotient(quotient(quotient(quotient(B,quotient(difference(A,B),B)),
% quotient(A,quotient(B,quotient(difference(A,B),B)))),
% eta(B)),B)) ->
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),eta(B)),B)
% Current number of equations to process: 120
% Current number of ordered equations: 0
% Current number of rules: 575
% New rule produced :
% [1012]
% quotient(quotient(eta(B),quotient(quotient(quotient(i(quotient(B,quotient(
% difference(A,B),B))),
% quotient(difference(B,i(quotient(B,
% quotient(
% difference(A,B),B)))),
% i(quotient(B,quotient(difference(A,B),B))))),
% eta(B)),B)),A) -> B
% Current number of equations to process: 119
% Current number of ordered equations: 0
% Current number of rules: 576
% New rule produced :
% [1013]
% quotient(B,quotient(difference(quotient(quotient(quotient(C,quotient(
% difference(A,C),C)),
% eta(A)),A),B),B)) ->
% quotient(quotient(quotient(quotient(B,quotient(difference(C,B),B)),quotient(
% difference(A,
% quotient(B,
% quotient(
% difference(C,B),B))),
% quotient(B,
% quotient(
% difference(C,B),B)))),
% eta(A)),A)
% Current number of equations to process: 117
% Current number of ordered equations: 0
% Current number of rules: 577
% New rule produced :
% [1014]
% quotient(difference(i(A),quotient(B,quotient(difference(quotient(eta(C),
% i(quotient(C,
% quotient(difference(A,C),C)))),B),B))),A)
% <->
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A)))),
% eta(C))
% Current number of equations to process: 116
% Current number of ordered equations: 1
% Current number of rules: 578
% New rule produced :
% [1015]
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A)))),
% eta(C)) <->
% quotient(difference(i(A),quotient(B,quotient(difference(quotient(eta(C),
% i(quotient(C,
% quotient(difference(A,C),C)))),B),B))),A)
% Current number of equations to process: 116
% Current number of ordered equations: 0
% Current number of rules: 579
% New rule produced :
% [1016]
% difference(i(i(A)),quotient(eta(A),i(quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(C,quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))))))
% <->
% quotient(quotient(quotient(B,quotient(difference(quotient(C,quotient(
% difference(A,C),C)),B),B)),
% eta(A)),i(i(A)))
% Current number of equations to process: 113
% Current number of ordered equations: 1
% Current number of rules: 580
% New rule produced :
% [1017]
% quotient(quotient(quotient(B,quotient(difference(quotient(C,quotient(
% difference(A,C),C)),B),B)),
% eta(A)),i(i(A))) <->
% difference(i(i(A)),quotient(eta(A),i(quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(C,quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))))))
% Current number of equations to process: 113
% Current number of ordered equations: 0
% Current number of rules: 581
% New rule produced :
% [1018]
% quotient(eta(A),quotient(quotient(i(quotient(quotient(quotient(B,quotient(
% difference(A,B),B)),
% eta(A)),A)),A),eta(A))) <->
% quotient(eta(A),i(quotient(quotient(quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(B,quotient(A,quotient(difference(B,A),A)))),
% eta(A)),A)))
% Current number of equations to process: 112
% Current number of ordered equations: 1
% Current number of rules: 582
% New rule produced :
% [1019]
% quotient(eta(A),i(quotient(quotient(quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(B,quotient(A,quotient(difference(B,A),A)))),
% eta(A)),A))) <->
% quotient(eta(A),quotient(quotient(i(quotient(quotient(quotient(B,quotient(
% difference(A,B),B)),
% eta(A)),A)),A),eta(A)))
% Current number of equations to process: 112
% Current number of ordered equations: 0
% Current number of rules: 583
% New rule produced :
% [1020]
% difference(C,quotient(quotient(quotient(C,quotient(difference(A,C),C)),
% eta(A)),quotient(difference(B,quotient(quotient(C,
% quotient(
% difference(A,C),C)),
% eta(A))),quotient(
% quotient(C,
% quotient(
% difference(A,C),C)),
% eta(A))))) ->
% quotient(quotient(eta(A),quotient(quotient(i(quotient(B,quotient(difference(C,B),B))),A),
% eta(A))),C)
% Current number of equations to process: 111
% Current number of ordered equations: 0
% Current number of rules: 584
% New rule produced :
% [1021]
% quotient(difference(i(A),quotient(eta(B),i(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B))))),A)
% <->
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),eta(B)),quotient(
% difference(C,
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(B))),
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(B))))
% Current number of equations to process: 110
% Current number of ordered equations: 1
% Current number of rules: 585
% New rule produced :
% [1022]
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),eta(B)),quotient(
% difference(C,
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(B))),
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(B))))
% <->
% quotient(difference(i(A),quotient(eta(B),i(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B))))),A)
% Current number of equations to process: 110
% Current number of ordered equations: 0
% Current number of rules: 586
% New rule produced :
% [1023]
% quotient(quotient(A,difference(A,quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(C,quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))))),
% quotient(A,quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B))))
% -> A
% Current number of equations to process: 109
% Current number of ordered equations: 0
% Current number of rules: 587
% New rule produced :
% [1024]
% quotient(eta(A),quotient(quotient(quotient(i(quotient(quotient(B,quotient(
% difference(C,B),B)),
% eta(A))),quotient(difference(A,
% i(quotient(
% quotient(B,
% quotient(
% difference(C,B),B)),
% eta(A)))),
% i(quotient(quotient(B,
% quotient(
% difference(C,B),B)),
% eta(A))))),eta(A)),A))
% -> quotient(quotient(B,quotient(difference(C,B),B)),eta(A))
% Current number of equations to process: 108
% Current number of ordered equations: 0
% Current number of rules: 588
% New rule produced :
% [1025]
% difference(i(B),quotient(quotient(i(B),quotient(difference(A,i(B)),i(B))),
% quotient(quotient(quotient(difference(B,quotient(quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(B)),B)),B),
% i(B)),quotient(i(B),quotient(difference(A,i(B)),
% i(B)))))) ->
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),eta(B)),B)
% Current number of equations to process: 107
% Current number of ordered equations: 0
% Current number of rules: 589
% New rule produced :
% [1026]
% quotient(quotient(quotient(quotient(C,quotient(difference(quotient(A,
% quotient(difference(B,A),A)),C),C)),
% eta(B)),i(i(B))),A) ->
% quotient(difference(i(i(B)),quotient(quotient(eta(B),quotient(quotient(
% i(C),B),
% eta(B))),quotient(
% difference(A,
% quotient(
% eta(B),
% quotient(
% quotient(
% i(C),B),
% eta(B)))),
% quotient(
% eta(B),
% quotient(
% quotient(
% i(C),B),
% eta(B)))))),A)
% Current number of equations to process: 106
% Current number of ordered equations: 0
% Current number of rules: 590
% New rule produced :
% [1027]
% quotient(quotient(difference(i(A),quotient(quotient(B,quotient(difference(
% i(A),B),B)),
% quotient(quotient(difference(A,quotient(
% quotient(
% quotient(B,
% quotient(
% difference(A,B),B)),
% eta(A)),A)),A),
% quotient(B,quotient(difference(i(A),B),B))))),A),
% difference(i(A),quotient(eta(A),i(B)))) ->
% t(difference(i(A),quotient(eta(A),i(B))),i(A))
% Current number of equations to process: 105
% Current number of ordered equations: 0
% Current number of rules: 591
% New rule produced : [1028] quotient(i(A),t(i(A),eta(A))) -> j(A)
% Current number of equations to process: 112
% Current number of ordered equations: 0
% Current number of rules: 592
% Rule [874]
% difference(A,quotient(difference(j(eta(A)),x1),difference(eta(A),x1)))
% -> quotient(quotient(j(A),A),j(A)) is composed into [874]
% difference(A,
% quotient(difference(
% j(eta(A)),x1),
% difference(eta(A),x1)))
% -> j(j(j(A)))
% New rule produced : [1029] quotient(quotient(j(A),A),j(A)) -> j(j(j(A)))
% Current number of equations to process: 120
% Current number of ordered equations: 0
% Current number of rules: 593
% New rule produced : [1030] t(A,t(i(i(A)),eta(A))) -> eta(A)
% Current number of equations to process: 119
% Current number of ordered equations: 0
% Current number of rules: 594
% New rule produced :
% [1031] quotient(quotient(A,quotient(j(eta(A)),A)),j(j(A))) -> A
% Current number of equations to process: 118
% Current number of ordered equations: 0
% Current number of rules: 595
% New rule produced :
% [1032]
% t(A,quotient(A,quotient(B,quotient(difference(A,B),B)))) ->
% quotient(quotient(A,B),A)
% Current number of equations to process: 116
% Current number of ordered equations: 0
% Current number of rules: 596
% New rule produced :
% [1033]
% quotient(quotient(difference(A,B),A),difference(A,B)) ->
% t(difference(A,B),quotient(difference(A,B),B))
% Current number of equations to process: 115
% Current number of ordered equations: 0
% Current number of rules: 597
% New rule produced :
% [1034]
% quotient(quotient(eta(A),B),quotient(eta(A),quotient(B,j(eta(A))))) -> eta(A)
% Current number of equations to process: 114
% Current number of ordered equations: 0
% Current number of rules: 598
% New rule produced :
% [1035]
% quotient(quotient(j(eta(A)),j(j(A))),quotient(j(eta(A)),A)) -> j(eta(A))
% Current number of equations to process: 113
% Current number of ordered equations: 0
% Current number of rules: 599
% New rule produced :
% [1036]
% difference(t(t(A,quotient(A,B)),A),quotient(A,quotient(B,A))) ->
% t(A,quotient(A,B))
% Current number of equations to process: 112
% Current number of ordered equations: 0
% Current number of rules: 600
% New rule produced :
% [1037]
% quotient(quotient(quotient(A,B),A),quotient(quotient(A,B),quotient(A,
% quotient(B,A)))) ->
% quotient(A,B)
% Current number of equations to process: 111
% Current number of ordered equations: 0
% Current number of rules: 601
% New rule produced :
% [1038]
% quotient(quotient(quotient(A,B),t(quotient(A,B),B)),quotient(A,B)) ->
% t(quotient(A,B),quotient(quotient(A,B),A))
% Current number of equations to process: 110
% Current number of ordered equations: 0
% Current number of rules: 602
% New rule produced :
% [1039]
% quotient(quotient(quotient(A,j(eta(B))),quotient(eta(B),quotient(A,j(eta(B))))),A)
% -> quotient(A,j(eta(B)))
% Current number of equations to process: 109
% Current number of ordered equations: 0
% Current number of rules: 603
% New rule produced :
% [1040]
% quotient(quotient(A,quotient(B,A)),t(t(A,quotient(A,B)),A)) ->
% t(t(t(A,quotient(A,B)),A),t(A,quotient(A,B)))
% Current number of equations to process: 108
% Current number of ordered equations: 0
% Current number of rules: 604
% New rule produced :
% [1041]
% quotient(quotient(t(quotient(A,B),B),t(t(quotient(A,B),B),quotient(A,B))),
% t(quotient(A,B),B)) -> t(t(quotient(A,B),B),quotient(t(quotient(A,B),B),A))
% Current number of equations to process: 108
% Current number of ordered equations: 0
% Current number of rules: 605
% New rule produced :
% [1042]
% t(A,quotient(A,quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B))))
% <->
% quotient(quotient(A,difference(A,quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(C,quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))))),A)
% Current number of equations to process: 107
% Current number of ordered equations: 1
% Current number of rules: 606
% New rule produced :
% [1043]
% quotient(quotient(A,difference(A,quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(C,quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))))),A)
% <->
% t(A,quotient(A,quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B))))
% Current number of equations to process: 107
% Current number of ordered equations: 0
% Current number of rules: 607
% New rule produced : [1044] t(j(A),t(i(A),eta(A))) -> eta(A)
% Current number of equations to process: 113
% Current number of ordered equations: 0
% Current number of rules: 608
% New rule produced : [1045] t(A,t(quotient(A,j(A)),j(A))) -> j(A)
% Current number of equations to process: 114
% Current number of ordered equations: 0
% Current number of rules: 609
% New rule produced :
% [1046] quotient(i(i(i(i(i(A))))),eta(A)) -> i(i(i(i(i(i(i(A)))))))
% Current number of equations to process: 113
% Current number of ordered equations: 0
% Current number of rules: 610
% New rule produced :
% [1047]
% quotient(quotient(eta(A),B),eta(A)) ->
% t(eta(A),quotient(eta(A),quotient(B,j(eta(A)))))
% Current number of equations to process: 112
% Current number of ordered equations: 0
% Current number of rules: 611
% New rule produced :
% [1048]
% quotient(quotient(j(eta(A)),j(j(A))),j(eta(A))) ->
% t(j(eta(A)),quotient(j(eta(A)),A))
% Current number of equations to process: 111
% Current number of ordered equations: 0
% Current number of rules: 612
% New rule produced :
% [1049]
% quotient(quotient(A,t(A,quotient(A,B))),A) ->
% t(A,t(quotient(A,quotient(B,A)),quotient(B,A)))
% Current number of equations to process: 110
% Current number of ordered equations: 0
% Current number of rules: 613
% New rule produced :
% [1050]
% quotient(t(j(eta(A)),quotient(j(eta(A)),B)),eta(A)) ->
% quotient(j(eta(A)),quotient(B,j(eta(A))))
% Current number of equations to process: 109
% Current number of ordered equations: 0
% Current number of rules: 614
% New rule produced :
% [1051]
% quotient(quotient(quotient(A,B),A),quotient(A,B)) ->
% t(quotient(A,B),quotient(quotient(A,B),quotient(A,quotient(B,A))))
% Current number of equations to process: 108
% Current number of ordered equations: 0
% Current number of rules: 615
% New rule produced : [1052] difference(eta(A),i(i(i(i(A))))) -> i(i(A))
% Current number of equations to process: 113
% Current number of ordered equations: 0
% Current number of rules: 616
% New rule produced :
% [1053] t(eta(A),quotient(eta(A),j(eta(A)))) -> quotient(eta(A),j(eta(A)))
% Current number of equations to process: 113
% Current number of ordered equations: 0
% Current number of rules: 617
% New rule produced :
% [1054]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(
% i(i(
% i(i(B)))),
% quotient(
% difference(
% i(difference(
% eta(B),A)),A),
% difference(
% eta(B),A))),
% eta(B)),A),A))) ->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(i(
% i(
% i(
% i(
% i(i(B)))))),A),A),A)))
% Current number of equations to process: 112
% Current number of ordered equations: 0
% Current number of rules: 618
% New rule produced :
% [1055] quotient(eta(A),j(t(eta(A),B))) -> t(eta(A),quotient(eta(A),j(B)))
% Current number of equations to process: 116
% Current number of ordered equations: 0
% Current number of rules: 619
% New rule produced :
% [1056]
% t(t(eta(A),quotient(B,eta(A))),eta(A)) ->
% t(eta(A),t(quotient(B,eta(A)),eta(A)))
% Current number of equations to process: 115
% Current number of ordered equations: 0
% Current number of rules: 620
% New rule produced :
% [1057]
% t(eta(A),t(j(j(A)),quotient(eta(A),j(eta(A))))) ->
% t(j(j(A)),quotient(eta(A),j(eta(A))))
% Current number of equations to process: 114
% Current number of ordered equations: 0
% Current number of rules: 621
% New rule produced :
% [1058] t(eta(A),quotient(quotient(eta(A),i(B)),B)) -> eta(A)
% Current number of equations to process: 114
% Current number of ordered equations: 0
% Current number of rules: 622
% New rule produced :
% [1059] quotient(j(t(eta(A),B)),eta(A)) -> t(eta(A),quotient(j(B),eta(A)))
% Current number of equations to process: 114
% Current number of ordered equations: 0
% Current number of rules: 623
% New rule produced :
% [1060] quotient(i(t(eta(A),B)),eta(A)) -> t(eta(A),quotient(i(B),eta(A)))
% Current number of equations to process: 113
% Current number of ordered equations: 0
% Current number of rules: 624
% New rule produced :
% [1061]
% t(eta(A),quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),eta(A)))
% -> quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),eta(A))
% Current number of equations to process: 114
% Current number of ordered equations: 0
% Current number of rules: 625
% New rule produced : [1062] quotient(quotient(A,eta(B)),j(eta(B))) -> A
% Current number of equations to process: 119
% Current number of ordered equations: 0
% Current number of rules: 626
% New rule produced : [1063] quotient(difference(j(eta(A)),B),B) -> eta(A)
% Rule
% [245] quotient(A,quotient(difference(j(eta(B)),A),A)) -> quotient(A,eta(B))
% collapsed.
% Current number of equations to process: 121
% Current number of ordered equations: 0
% Current number of rules: 626
% Rule [889] difference(j(A),A) -> quotient(j(j(A)),j(A)) is composed into
% [889] difference(j(A),A) -> i(quotient(j(A),j(j(A))))
% Rule [887] quotient(i(A),A) -> t(A,quotient(j(A),A)) is composed into
% [887] quotient(i(A),A) -> t(A,i(quotient(A,j(A))))
% Rule [885]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(
% difference(
% i(B),quotient(
% difference(
% i(
% difference(
% j(B),A)),A),
% difference(
% j(B),A))),
% j(B)),A),A)))
% ->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(
% j(B),B),A),A),A))) is composed into
% [885]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(
% i(B),
% quotient(
% difference(
% i(difference(
% j(B),A)),A),
% difference(
% j(B),A))),
% j(B)),A),A))) ->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(i(
% quotient(B,
% j(B))),A),A),A)))
% Rule [880]
% quotient(quotient(difference(i(i(A)),quotient(quotient(B,quotient(
% difference(
% j(A),B),B)),
% quotient(difference(i(A),quotient(B,
% quotient(
% difference(
% j(A),B),B))),
% quotient(B,quotient(difference(
% j(A),B),B))))),
% i(A)),j(A)) <->
% difference(j(A),quotient(quotient(j(A),A),quotient(difference(B,
% quotient(j(A),A)),
% quotient(j(A),A)))) is composed into
% [880]
% quotient(quotient(difference(i(i(A)),quotient(quotient(B,quotient(difference(
% j(A),B),B)),
% quotient(difference(i(A),quotient(B,
% quotient(
% difference(
% j(A),B),B))),
% quotient(B,quotient(difference(j(A),B),B))))),
% i(A)),j(A)) <->
% difference(j(A),quotient(i(quotient(A,j(A))),quotient(difference(B,i(
% quotient(A,
% j(A)))),
% i(quotient(A,j(A))))))
% Rule [877]
% difference(i(B),quotient(quotient(i(B),quotient(difference(A,i(B)),i(B))),
% quotient(difference(j(B),quotient(i(B),quotient(
% difference(A,
% i(B)),i(B)))),
% quotient(i(B),quotient(difference(A,i(B)),i(B)))))) <->
% quotient(quotient(A,quotient(difference(quotient(j(B),B),A),A)),i(B)) is composed into
% [877]
% difference(i(B),quotient(quotient(i(B),quotient(difference(A,i(B)),i(B))),
% quotient(difference(j(B),quotient(i(B),quotient(difference(A,
% i(B)),
% i(B)))),quotient(
% i(B),quotient(
% difference(A,
% i(B)),
% i(B))))))
% <-> quotient(quotient(A,quotient(difference(i(quotient(B,j(B))),A),A)),i(B))
% Rule [859]
% difference(quotient(quotient(A,quotient(difference(B,A),A)),j(quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(
% quotient(
% difference(B,
% quotient(
% difference(
% i(B),quotient(A,
% quotient(
% difference(B,A),A))),B)),A),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% ->
% difference(quotient(quotient(A,quotient(difference(B,A),A)),j(quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(j(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))) is composed into
% [859]
% difference(quotient(quotient(A,quotient(difference(B,A),A)),j(quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(quotient(
% difference(B,
% quotient(
% difference(
% i(B),
% quotient(A,
% quotient(
% difference(B,A),A))),B)),A),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% ->
% difference(quotient(quotient(A,quotient(difference(B,A),A)),j(quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(quotient(A,quotient(difference(B,A),A)),i(quotient(quotient(A,
% quotient(
% difference(B,A),A)),
% j(quotient(A,quotient(
% difference(B,A),A)))))))
% Rule [857]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(
% j(j(B)),A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(
% j(j(B)),A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% j(j(B)),A),A),A)))))
% ->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(
% j(j(B)),
% j(B)),A),A),A))) is composed into
% [857]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% j(j(B)),A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% j(j(B)),A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(j(j(B)),A),A),A)))))
% ->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(i(
% quotient(
% j(B),
% j(
% j(B)))),A),A),A)))
% Rule [805]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(A,B),B)),A),A),A)))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(
% j(A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))) is composed into
% [805]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(A,B),B)),A),A),A)))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,i(quotient(A,j(A))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% Rule [735]
% difference(B,quotient(quotient(B,quotient(difference(A,B),B)),quotient(
% difference(
% eta(B),A),
% quotient(B,
% quotient(
% difference(A,B),B)))))
% <->
% quotient(quotient(A,quotient(difference(quotient(j(j(B)),j(B)),A),A)),B) is composed into
% [735]
% difference(B,quotient(quotient(B,quotient(difference(A,B),B)),quotient(
% difference(
% eta(B),A),
% quotient(B,
% quotient(
% difference(A,B),B)))))
% <->
% quotient(quotient(A,quotient(difference(i(quotient(j(B),j(j(B)))),A),A)),B)
% Rule [506]
% quotient(difference(i(A),quotient(eta(A),i(quotient(A,j(A))))),A) ->
% quotient(j(j(A)),j(A)) is composed into [506]
% quotient(difference(i(A),
% quotient(eta(A),
% i(quotient(A,j(A))))),A)
% -> i(quotient(j(A),j(j(A))))
% Rule [214] difference(A,i(A)) -> quotient(j(A),A) is composed into [214]
% difference(A,
% i(A)) ->
% i(
% quotient(A,
% j(A)))
% New rule produced : [1064] quotient(j(A),A) -> i(quotient(A,j(A)))
% Rule
% [804]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(j(A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(A,B),B)),A),A),A)))
% collapsed.
% Rule
% [838]
% quotient(difference(i(difference(quotient(A,j(A)),quotient(A,quotient(j(A),A)))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(
% j(A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))),
% difference(quotient(A,j(A)),quotient(A,quotient(j(A),A)))) ->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(B,A),A),A),A)))
% collapsed.
% Rule [865] quotient(quotient(j(j(A)),j(A)),A) -> j(j(A)) collapsed.
% Rule
% [866]
% quotient(i(i(A)),difference(quotient(j(j(A)),j(A)),A)) -> quotient(A,j(A))
% collapsed.
% Rule
% [867]
% difference(quotient(j(j(A)),j(A)),quotient(j(j(A)),quotient(quotient(
% difference(B,
% i(i(A))),A),
% j(j(A))))) ->
% quotient(quotient(quotient(B,quotient(difference(quotient(j(j(A)),j(A)),B),B)),A),
% j(j(A))) collapsed.
% Rule
% [868]
% difference(i(i(A)),quotient(eta(A),i(quotient(quotient(j(j(A)),j(A)),
% quotient(difference(B,quotient(j(j(A)),
% j(A))),quotient(
% j(j(A)),
% j(A)))))))
% -> t(i(i(A)),quotient(quotient(B,quotient(difference(A,B),B)),eta(A)))
% collapsed.
% Rule [876] quotient(quotient(j(A),A),i(A)) -> j(A) collapsed.
% Rule
% [878]
% quotient(quotient(A,quotient(difference(quotient(j(B),B),A),A)),i(B)) <->
% difference(i(B),quotient(quotient(i(B),quotient(difference(A,i(B)),i(B))),
% quotient(difference(j(B),quotient(i(B),quotient(difference(A,
% i(B)),
% i(B)))),quotient(
% i(B),quotient(
% difference(A,
% i(B)),
% i(B))))))
% collapsed.
% Rule
% [879]
% difference(j(A),quotient(quotient(j(A),A),quotient(difference(B,quotient(
% j(A),A)),
% quotient(j(A),A)))) <->
% quotient(quotient(difference(i(i(A)),quotient(quotient(B,quotient(difference(
% j(A),B),B)),
% quotient(difference(i(A),quotient(B,
% quotient(
% difference(
% j(A),B),B))),
% quotient(B,quotient(difference(j(A),B),B))))),
% i(A)),j(A)) collapsed.
% Rule [888] quotient(i(A),quotient(j(A),A)) -> A collapsed.
% Rule [911] difference(i(A),t(A,quotient(j(A),A))) -> i(A) collapsed.
% Rule [915] quotient(t(A,quotient(j(A),A)),i(A)) -> i(A) collapsed.
% Rule
% [955] quotient(j(eta(A)),eta(A)) -> t(j(j(A)),quotient(eta(A),j(eta(A))))
% collapsed.
% Rule [965] quotient(difference(quotient(j(A),A),A),A) -> difference(i(A),A)
% collapsed.
% Rule [971] quotient(difference(A,quotient(j(A),A)),quotient(j(A),A)) -> i(A)
% collapsed.
% Rule [1029] quotient(quotient(j(A),A),j(A)) -> j(j(j(A))) collapsed.
% Current number of equations to process: 141
% Current number of ordered equations: 0
% Current number of rules: 611
% New rule produced : [1065] quotient(i(A),i(quotient(A,j(A)))) -> A
% Current number of equations to process: 142
% Current number of ordered equations: 0
% Current number of rules: 612
% New rule produced : [1066] quotient(i(quotient(A,j(A))),i(A)) -> j(A)
% Current number of equations to process: 141
% Current number of ordered equations: 0
% Current number of rules: 613
% New rule produced : [1067] i(quotient(A,i(A))) -> t(A,i(quotient(A,j(A))))
% Current number of equations to process: 142
% Current number of ordered equations: 0
% Current number of rules: 614
% New rule produced : [1068] quotient(i(quotient(A,j(A))),j(A)) -> j(j(j(A)))
% Current number of equations to process: 141
% Current number of ordered equations: 0
% Current number of rules: 615
% New rule produced : [1069] quotient(i(quotient(j(A),j(j(A)))),A) -> j(j(A))
% Current number of equations to process: 140
% Current number of ordered equations: 0
% Current number of rules: 616
% New rule produced : [1070] difference(i(A),t(A,i(quotient(A,j(A))))) -> i(A)
% Current number of equations to process: 139
% Current number of ordered equations: 0
% Current number of rules: 617
% New rule produced : [1071] quotient(t(A,i(quotient(A,j(A)))),i(A)) -> i(A)
% Current number of equations to process: 138
% Current number of ordered equations: 0
% Current number of rules: 618
% New rule produced :
% [1072] quotient(difference(i(quotient(A,j(A))),A),A) -> difference(i(A),A)
% Current number of equations to process: 137
% Current number of ordered equations: 0
% Current number of rules: 619
% New rule produced :
% [1073] difference(j(t(eta(A),B)),eta(A)) -> t(eta(A),difference(j(B),eta(A)))
% Current number of equations to process: 136
% Current number of ordered equations: 0
% Current number of rules: 620
% New rule produced :
% [1074] difference(i(t(eta(A),B)),eta(A)) -> t(eta(A),difference(i(B),eta(A)))
% Current number of equations to process: 135
% Current number of ordered equations: 0
% Current number of rules: 621
% Rule [894]
% difference(eta(A),j(eta(A))) -> t(j(j(A)),quotient(eta(A),j(eta(A)))) is composed into
% [894] difference(eta(A),j(eta(A))) -> i(quotient(eta(A),j(eta(A))))
% New rule produced :
% [1075] t(j(j(A)),quotient(eta(A),j(eta(A)))) -> i(quotient(eta(A),j(eta(A))))
% Rule
% [1057]
% t(eta(A),t(j(j(A)),quotient(eta(A),j(eta(A))))) ->
% t(j(j(A)),quotient(eta(A),j(eta(A)))) collapsed.
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 621
% New rule produced :
% [1076]
% difference(i(quotient(A,quotient(difference(B,A),A))),difference(B,eta(A)))
% -> A
% Current number of equations to process: 133
% Current number of ordered equations: 0
% Current number of rules: 622
% New rule produced :
% [1077]
% quotient(difference(A,i(quotient(A,j(A)))),i(quotient(A,j(A)))) -> i(A)
% Current number of equations to process: 132
% Current number of ordered equations: 0
% Current number of rules: 623
% New rule produced :
% [1078]
% i(quotient(i(B),quotient(difference(A,i(B)),i(B)))) ->
% quotient(difference(A,eta(B)),i(B))
% Rule
% [884]
% difference(i(i(i(A))),quotient(eta(A),i(quotient(i(A),quotient(difference(B,
% i(A)),
% i(A)))))) -> B
% collapsed.
% Current number of equations to process: 132
% Current number of ordered equations: 0
% Current number of rules: 623
% New rule produced :
% [1079]
% quotient(i(i(A)),difference(i(quotient(j(A),j(j(A)))),A)) -> quotient(A,j(A))
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 624
% New rule produced :
% [1080]
% difference(i(i(i(A))),quotient(eta(A),quotient(difference(B,eta(A)),i(A))))
% -> B
% Current number of equations to process: 130
% Current number of ordered equations: 0
% Current number of rules: 625
% New rule produced :
% [1081]
% quotient(difference(A,eta(B)),i(quotient(B,quotient(difference(A,B),B)))) ->
% t(i(quotient(B,quotient(difference(A,B),B))),B)
% Current number of equations to process: 128
% Current number of ordered equations: 0
% Current number of rules: 626
% New rule produced :
% [1082]
% difference(t(i(quotient(A,quotient(difference(B,A),A))),A),difference(B,
% eta(A))) ->
% i(quotient(A,quotient(difference(B,A),A)))
% Current number of equations to process: 127
% Current number of ordered equations: 0
% Current number of rules: 627
% New rule produced :
% [1083]
% i(quotient(difference(i(B),quotient(quotient(eta(B),A),quotient(difference(B,
% quotient(
% eta(B),A)),
% quotient(eta(B),A)))),B))
% -> quotient(A,B)
% Current number of equations to process: 126
% Current number of ordered equations: 0
% Current number of rules: 628
% New rule produced :
% [1084]
% quotient(difference(A,eta(B)),t(i(quotient(B,quotient(difference(A,B),B))),B))
% ->
% t(t(i(quotient(B,quotient(difference(A,B),B))),B),i(quotient(B,quotient(
% difference(A,B),B))))
% Current number of equations to process: 124
% Current number of ordered equations: 0
% Current number of rules: 629
% New rule produced :
% [1085]
% i(quotient(difference(i(A),quotient(t(quotient(eta(A),B),B),quotient(
% difference(A,
% t(quotient(
% eta(A),B),B)),
% t(quotient(
% eta(A),B),B)))),A))
% -> quotient(quotient(eta(A),B),A)
% Current number of equations to process: 123
% Current number of ordered equations: 0
% Current number of rules: 630
% New rule produced :
% [1086]
% difference(i(quotient(j(A),j(j(A)))),quotient(j(j(A)),quotient(quotient(
% difference(B,
% i(i(A))),A),
% j(j(A))))) ->
% quotient(quotient(quotient(B,quotient(difference(i(quotient(j(A),j(j(A)))),B),B)),A),
% j(j(A)))
% Current number of equations to process: 122
% Current number of ordered equations: 0
% Current number of rules: 631
% New rule produced :
% [1087]
% difference(i(i(A)),quotient(eta(A),quotient(difference(B,eta(quotient(
% j(A),j(j(A))))),
% i(quotient(j(A),j(j(A))))))) ->
% t(i(i(A)),quotient(quotient(B,quotient(difference(A,B),B)),eta(A)))
% Current number of equations to process: 121
% Current number of ordered equations: 0
% Current number of rules: 632
% New rule produced :
% [1088]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(t(
% eta(B),
% quotient(
% eta(B),
% i(C))),A),A),A)))
% <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(
% t(eta(B),C),
% quotient(
% difference(
% i(difference(
% eta(B),A)),A),
% difference(
% eta(B),A))),
% eta(B)),A),A)))
% Current number of equations to process: 120
% Current number of ordered equations: 1
% Current number of rules: 633
% New rule produced :
% [1089]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(
% t(eta(B),C),
% quotient(
% difference(
% i(difference(
% eta(B),A)),A),
% difference(
% eta(B),A))),
% eta(B)),A),A))) <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(t(
% eta(B),
% quotient(
% eta(B),
% i(C))),A),A),A)))
% Current number of equations to process: 120
% Current number of ordered equations: 0
% Current number of rules: 634
% New rule produced :
% [1090] i(quotient(quotient(A,i(A)),eta(A))) -> quotient(i(i(i(A))),A)
% Current number of equations to process: 123
% Current number of ordered equations: 0
% Current number of rules: 635
% New rule produced :
% [1091] difference(i(i(i(i(i(i(A)))))),eta(A)) -> i(i(i(i(i(A)))))
% Current number of equations to process: 124
% Current number of ordered equations: 0
% Current number of rules: 636
% New rule produced :
% [1092] quotient(eta(A),i(i(i(i(i(i(A))))))) -> i(i(i(i(i(i(i(A)))))))
% Current number of equations to process: 123
% Current number of ordered equations: 0
% Current number of rules: 637
% New rule produced :
% [1093]
% i(quotient(j(B),quotient(difference(A,j(B)),j(B)))) ->
% quotient(difference(A,eta(B)),j(B))
% Rule
% [322]
% quotient(quotient(eta(A),i(quotient(j(j(B)),quotient(difference(C,j(j(B))),
% j(j(B)))))),C) ->
% quotient(eta(A),j(B)) collapsed.
% Rule
% [337]
% i(quotient(j(quotient(A,quotient(difference(B,A),A))),quotient(difference(A,
% j(quotient(A,
% quotient(
% difference(B,A),A)))),
% j(quotient(A,quotient(
% difference(B,A),A))))))
% ->
% quotient(difference(A,eta(quotient(A,quotient(difference(B,A),A)))),j(
% quotient(A,
% quotient(
% difference(B,A),A))))
% collapsed.
% Rule
% [347]
% i(quotient(j(quotient(A,j(A))),quotient(difference(A,j(quotient(A,j(A)))),
% j(quotient(A,j(A)))))) ->
% quotient(difference(A,eta(quotient(A,j(A)))),j(quotient(A,j(A)))) collapsed.
% Rule
% [520]
% quotient(eta(A),i(quotient(j(eta(A)),quotient(difference(B,j(eta(A))),
% j(eta(A)))))) -> quotient(one,i(B))
% collapsed.
% Current number of equations to process: 124
% Current number of ordered equations: 0
% Current number of rules: 634
% New rule produced : [1094] quotient(eta(A),quotient(i(B),j(eta(A)))) -> B
% Current number of equations to process: 123
% Current number of ordered equations: 0
% Current number of rules: 635
% New rule produced :
% [1095]
% t(A,quotient(A,difference(B,eta(A)))) ->
% quotient(quotient(A,i(quotient(A,quotient(difference(B,A),A)))),A)
% Current number of equations to process: 122
% Current number of ordered equations: 0
% Current number of rules: 636
% New rule produced :
% [1096]
% quotient(quotient(eta(A),quotient(difference(C,eta(B)),j(j(B)))),C) ->
% quotient(eta(A),j(B))
% Current number of equations to process: 121
% Current number of ordered equations: 0
% Current number of rules: 637
% New rule produced :
% [1097]
% quotient(quotient(A,i(quotient(A,quotient(difference(B,A),A)))),quotient(A,
% difference(B,
% eta(A)))) ->
% A
% Current number of equations to process: 120
% Current number of ordered equations: 0
% Current number of rules: 638
% New rule produced :
% [1098]
% quotient(quotient(difference(A,eta(B)),quotient(B,difference(A,eta(B)))),
% i(quotient(B,quotient(difference(A,B),B)))) -> difference(A,eta(B))
% Current number of equations to process: 119
% Current number of ordered equations: 0
% Current number of rules: 639
% New rule produced :
% [1099]
% i(quotient(difference(i(A),quotient(t(eta(A),B),quotient(difference(A,
% t(eta(A),B)),
% t(eta(A),B)))),A)) <->
% quotient(t(eta(A),difference(B,eta(A))),A)
% Current number of equations to process: 118
% Current number of ordered equations: 1
% Current number of rules: 640
% New rule produced :
% [1100]
% quotient(t(eta(A),difference(B,eta(A))),A) <->
% i(quotient(difference(i(A),quotient(t(eta(A),B),quotient(difference(A,
% t(eta(A),B)),
% t(eta(A),B)))),A))
% Current number of equations to process: 118
% Current number of ordered equations: 0
% Current number of rules: 641
% New rule produced : [1101] difference(j(j(A)),quotient(A,i(A))) -> A
% Current number of equations to process: 122
% Current number of ordered equations: 0
% Current number of rules: 642
% New rule produced :
% [1102] difference(j(j(j(j(A)))),i(quotient(j(A),j(j(A))))) -> j(j(A))
% Current number of equations to process: 124
% Current number of ordered equations: 0
% Current number of rules: 643
% New rule produced :
% [1103]
% difference(j(j(A)),quotient(j(A),quotient(difference(A,j(A)),j(A)))) -> j(A)
% Current number of equations to process: 123
% Current number of ordered equations: 0
% Current number of rules: 644
% New rule produced :
% [1104] t(i(i(i(i(A)))),quotient(i(i(i(i(A)))),eta(A))) -> i(i(A))
% Current number of equations to process: 122
% Current number of ordered equations: 0
% Current number of rules: 645
% New rule produced :
% [1105]
% difference(t(A,t(quotient(A,B),B)),quotient(A,quotient(quotient(A,B),A))) ->
% A
% Current number of equations to process: 121
% Current number of ordered equations: 0
% Current number of rules: 646
% New rule produced :
% [1106]
% quotient(quotient(eta(A),quotient(i(i(i(i(A)))),eta(A))),i(i(i(i(i(A)))))) ->
% eta(A)
% Current number of equations to process: 120
% Current number of ordered equations: 0
% Current number of rules: 647
% New rule produced :
% [1107]
% quotient(quotient(i(i(i(i(A)))),i(i(i(i(i(A)))))),quotient(i(i(i(i(A)))),
% eta(A))) -> i(i(i(i(A))))
% Current number of equations to process: 123
% Current number of ordered equations: 0
% Current number of rules: 648
% New rule produced :
% [1108]
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),t(quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(difference(B,A),A))),
% t(A,B)) -> quotient(A,quotient(difference(B,A),A))
% Current number of equations to process: 122
% Current number of ordered equations: 0
% Current number of rules: 649
% New rule produced : [1109] difference(t(i(i(A)),eta(A)),A) -> i(i(A))
% Current number of equations to process: 130
% Current number of ordered equations: 0
% Current number of rules: 650
% New rule produced : [1110] difference(j(j(j(A))),i(quotient(A,j(A)))) -> j(A)
% Rule [1102] difference(j(j(j(j(A)))),i(quotient(j(A),j(j(A))))) -> j(j(A))
% collapsed.
% Current number of equations to process: 132
% Current number of ordered equations: 0
% Current number of rules: 650
% New rule produced :
% [1111] difference(j(t(eta(A),B)),quotient(eta(A),B)) -> eta(A)
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 651
% New rule produced :
% [1112] difference(quotient(A,j(A)),eta(A)) -> t(A,i(quotient(A,j(A))))
% Current number of equations to process: 139
% Current number of ordered equations: 0
% Current number of rules: 652
% Rule [1100]
% quotient(t(eta(A),difference(B,eta(A))),A) <->
% i(quotient(difference(i(A),quotient(t(eta(A),B),quotient(difference(A,
% t(eta(A),B)),
% t(eta(A),B)))),A)) is composed into
% [1100]
% quotient(t(eta(A),difference(B,eta(A))),A) <->
% i(quotient(difference(i(A),quotient(eta(t(eta(A),B)),quotient(i(A),t(
% eta(A),B)))),A))
% Rule [1095]
% t(A,quotient(A,difference(B,eta(A)))) ->
% quotient(quotient(A,i(quotient(A,quotient(difference(B,A),A)))),A) is composed into
% [1095]
% t(A,quotient(A,difference(B,eta(A)))) ->
% quotient(quotient(A,i(quotient(eta(A),quotient(i(B),A)))),A)
% Rule [1087]
% difference(i(i(A)),quotient(eta(A),quotient(difference(B,eta(quotient(
% j(A),
% j(j(A))))),
% i(quotient(j(A),j(j(A))))))) ->
% t(i(i(A)),quotient(quotient(B,quotient(difference(A,B),B)),eta(A))) is composed into
% [1087]
% difference(i(i(A)),quotient(eta(A),quotient(difference(B,eta(quotient(
% j(A),j(j(A))))),
% i(quotient(j(A),j(j(A))))))) ->
% t(i(i(A)),quotient(quotient(eta(B),quotient(i(A),B)),eta(A)))
% Rule [1086]
% difference(i(quotient(j(A),j(j(A)))),quotient(j(j(A)),quotient(quotient(
% difference(B,
% i(
% i(A))),A),
% j(j(A))))) ->
% quotient(quotient(quotient(B,quotient(difference(i(quotient(j(A),
% j(j(A)))),B),B)),A),
% j(j(A))) is composed into [1086]
% difference(i(quotient(j(A),j(j(A)))),quotient(
% j(
% j(A)),
% quotient(
% quotient(
% difference(B,
% i(
% i(A))),A),
% j(
% j(A)))))
% ->
% quotient(quotient(quotient(eta(B),quotient(
% i(i(
% quotient(
% j(A),
% j(
% j(A))))),B)),A),
% j(j(A)))
% Rule [968]
% difference(A,quotient(A,B)) ->
% quotient(A,quotient(B,quotient(difference(A,B),B))) is composed into
% [968]
% difference(A,quotient(A,B)) -> quotient(A,quotient(eta(B),quotient(i(A),B)))
% Rule [952]
% quotient(difference(A,quotient(B,A)),quotient(B,A)) <->
% quotient(B,quotient(A,quotient(difference(B,A),A))) is composed into
% [952]
% quotient(difference(A,quotient(B,A)),quotient(B,A)) ->
% quotient(B,quotient(eta(A),quotient(i(B),A)))
% Rule [837]
% quotient(difference(i(i(A)),quotient(difference(i(A),quotient(quotient(
% quotient(
% eta(A),
% i(B)),
% quotient(
% difference(
% i(A),B),B)),
% quotient(quotient(
% difference(A,
% quotient(
% quotient(
% eta(A),
% i(B)),
% quotient(
% difference(
% eta(A),B),B))),A),
% quotient(quotient(
% eta(A),
% i(B)),
% quotient(difference(
% i(A),B),B))))),A)),
% i(A)) <->
% quotient(quotient(eta(A),j(eta(A))),quotient(difference(B,quotient(
% eta(A),
% j(eta(A)))),
% quotient(eta(A),j(eta(A))))) is composed into
% [837]
% quotient(difference(i(i(A)),quotient(difference(i(A),quotient(quotient(
% quotient(
% eta(A),
% i(B)),quotient(
% difference(
% i(A),B),B)),
% quotient(quotient(
% difference(A,
% quotient(
% quotient(
% eta(A),
% i(B)),quotient(
% difference(
% eta(A),B),B))),A),
% quotient(quotient(
% eta(A),
% i(B)),quotient(
% difference(
% i(A),B),B))))),A)),
% i(A)) ->
% quotient(eta(quotient(eta(A),j(eta(A)))),quotient(i(B),quotient(eta(A),
% j(eta(A)))))
% Rule [802]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(
% difference(C,
% quotient(
% difference(
% i(B),A),B)),
% quotient(A,B)),A),A)))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(C,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A))))) is composed into
% [802]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(C,
% quotient(
% difference(
% i(B),A),B)),
% quotient(A,B)),A),A)))
% ->
% quotient(eta(difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A)))),
% quotient(i(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A)))))
% Rule [791]
% quotient(difference(B,quotient(difference(i(quotient(B,j(B))),A),
% quotient(B,j(B)))),quotient(A,quotient(B,j(B))))
% ->
% quotient(quotient(quotient(quotient(difference(j(B),quotient(A,quotient(B,
% j(B)))),
% quotient(difference(B,difference(j(B),
% quotient(A,quotient(B,
% j(B))))),
% difference(j(B),quotient(A,quotient(B,j(B)))))),
% j(B)),quotient(B,j(B))),quotient(A,quotient(B,j(B)))) is composed into
% [791]
% quotient(difference(B,quotient(difference(i(quotient(B,j(B))),A),quotient(B,
% j(B)))),
% quotient(A,quotient(B,j(B)))) ->
% quotient(quotient(quotient(quotient(eta(difference(j(B),quotient(A,quotient(B,
% j(B))))),
% quotient(i(B),difference(j(B),quotient(A,quotient(B,
% j(B)))))),
% j(B)),quotient(B,j(B))),quotient(A,quotient(B,j(B))))
% Rule [719]
% quotient(i(i(A)),quotient(difference(B,A),A)) ->
% quotient(eta(A),i(quotient(A,quotient(difference(B,A),A)))) is composed into
% [719]
% quotient(i(i(A)),quotient(difference(B,A),A)) ->
% quotient(eta(A),i(quotient(eta(A),quotient(i(B),A))))
% Rule [710]
% difference(quotient(A,quotient(B,A)),quotient(A,quotient(quotient(
% difference(C,
% quotient(
% difference(
% i(B),A),B)),
% quotient(A,B)),A)))
% ->
% quotient(quotient(quotient(C,quotient(difference(quotient(A,quotient(B,A)),C),C)),
% quotient(A,B)),A) is composed into [710]
% difference(quotient(A,
% quotient(B,A)),
% quotient(A,quotient(
% quotient(
% difference(C,
% quotient(
% difference(
% i(B),A),B)),
% quotient(A,B)),A)))
% ->
% quotient(quotient(quotient(
% eta(C),
% quotient(
% i(
% quotient(A,
% quotient(B,A))),C)),
% quotient(A,B)),A)
% Rule [654]
% difference(quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B)),
% quotient(quotient(eta(A),i(B)),quotient(difference(V_3,B),B))) ->
% quotient(difference(C,quotient(V_3,quotient(difference(quotient(
% eta(A),i(B)),V_3),V_3))),
% quotient(eta(A),i(B))) is composed into [654]
% difference(quotient(quotient(
% eta(A),
% i(B)),
% quotient(difference(C,B),B)),
% quotient(quotient(eta(A),i(B)),
% quotient(difference(V_3,B),B)))
% ->
% quotient(difference(C,quotient(
% eta(V_3),
% quotient(
% i(
% quotient(
% eta(A),
% i(B))),V_3))),
% quotient(eta(A),i(B)))
% Rule [651]
% t(A,quotient(quotient(eta(B),i(C)),quotient(difference(A,C),C))) ->
% t(A,quotient(eta(B),i(quotient(C,quotient(difference(A,C),C))))) is composed into
% [651]
% t(A,quotient(quotient(eta(B),i(C)),quotient(difference(A,C),C))) ->
% t(A,quotient(eta(B),i(quotient(eta(C),quotient(i(A),C)))))
% Rule [560]
% difference(i(A),quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B)))
% <->
% quotient(quotient(difference(i(A),quotient(quotient(difference(i(B),
% quotient(C,quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C))),B),
% quotient(difference(A,quotient(
% difference(
% i(B),quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C))),B)),
% quotient(difference(i(B),quotient(C,
% quotient(
% difference(
% quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),C),C))),B)))),A),
% i(A)) is composed into [560]
% difference(i(A),quotient(quotient(eta(A),i(B)),
% quotient(difference(C,B),B))) <->
% quotient(quotient(difference(i(A),quotient(
% eta(quotient(
% difference(
% i(B),
% quotient(
% eta(C),
% quotient(
% i(quotient(
% eta(
% i(A)),
% quotient(
% i(B),
% i(A)))),C))),B)),
% quotient(
% i(A),quotient(
% difference(
% i(B),
% quotient(
% eta(C),
% quotient(
% i(
% quotient(
% eta(
% i(A)),
% quotient(
% i(B),
% i(A)))),C))),B)))),A),
% i(A))
% Rule [550]
% quotient(difference(i(difference(A,B)),quotient(eta(A),i(difference(A,B)))),
% difference(A,B)) ->
% difference(A,quotient(quotient(quotient(B,quotient(difference(A,B),B)),
% eta(A)),A)) is composed into [550]
% quotient(difference(
% i(difference(A,B)),
% quotient(
% eta(A),
% i(difference(A,B)))),
% difference(A,B)) ->
% difference(A,
% quotient(quotient(
% quotient(
% eta(B),
% quotient(
% i(A),B)),
% eta(A)),A))
% Rule [540]
% quotient(difference(B,quotient(difference(i(difference(A,C)),C),
% difference(A,C))),A) <->
% difference(quotient(A,quotient(difference(B,A),A)),C) is composed into
% [540]
% quotient(difference(B,quotient(difference(i(difference(A,C)),C),difference(A,C))),A)
% <-> difference(quotient(eta(A),quotient(i(B),A)),C)
% Rule [522]
% difference(A,quotient(quotient(eta(A),i(B)),A)) <->
% quotient(quotient(j(A),quotient(difference(B,j(A)),j(A))),A) is composed into
% [522]
% difference(A,quotient(quotient(eta(A),i(B)),A)) ->
% quotient(quotient(eta(j(A)),quotient(i(B),j(A))),A)
% Rule [521]
% difference(difference(A,B),t(eta(difference(A,B)),quotient(difference(
% i(A),
% quotient(
% eta(difference(A,B)),
% i(A))),A)))
% ->
% quotient(quotient(j(difference(A,B)),quotient(difference(B,j(difference(A,B))),
% j(difference(A,B)))),difference(A,B)) is composed into
% [521]
% difference(difference(A,B),t(eta(difference(A,B)),quotient(difference(
% i(A),quotient(
% eta(difference(A,B)),
% i(A))),A)))
% ->
% quotient(quotient(eta(j(difference(A,B))),quotient(i(B),j(difference(A,B)))),
% difference(A,B))
% Rule [505]
% quotient(difference(i(i(A)),quotient(quotient(eta(A),i(B)),quotient(
% difference(
% i(A),B),B))),
% i(A)) <-> quotient(j(A),quotient(difference(B,j(A)),j(A))) is composed into
% [505]
% quotient(difference(i(i(A)),quotient(quotient(eta(A),i(B)),quotient(difference(
% i(A),B),B))),
% i(A)) -> quotient(eta(j(A)),quotient(i(B),j(A)))
% Rule [394]
% quotient(difference(i(A),quotient(quotient(eta(A),i(B)),quotient(
% difference(A,B),B))),A)
% <-> quotient(j(j(A)),quotient(difference(B,j(j(A))),j(j(A)))) is composed into
% [394]
% quotient(difference(i(A),quotient(quotient(eta(A),i(B)),quotient(difference(A,B),B))),A)
% -> quotient(eta(j(j(A))),quotient(i(B),j(j(A))))
% Rule [366]
% t(j(j(A)),difference(eta(A),B)) <->
% quotient(quotient(A,quotient(difference(B,A),A)),j(j(A))) is composed into
% [366]
% t(j(j(A)),difference(eta(A),B)) ->
% quotient(quotient(eta(A),quotient(i(B),A)),j(j(A)))
% Rule [341]
% difference(eta(A),quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B)))
% -> quotient(B,quotient(difference(C,B),B)) is composed into [341]
% difference(
% eta(A),
% quotient(
% quotient(
% eta(A),
% i(B)),
% quotient(
% difference(C,B),B)))
% ->
% quotient(
% eta(B),
% quotient(
% i(C),B))
% Rule [277]
% difference(i(A),quotient(quotient(eta(A),i(B)),i(A))) <->
% quotient(quotient(A,quotient(difference(B,A),A)),i(A)) is composed into
% [277]
% difference(i(A),quotient(quotient(eta(A),i(B)),i(A))) ->
% quotient(quotient(eta(A),quotient(i(B),A)),i(A))
% Rule [273]
% difference(eta(B),eta(A)) ->
% quotient(eta(quotient(quotient(quotient(A,quotient(difference(B,A),A)),
% eta(B)),B)),eta(B)) is composed into [273]
% difference(
% eta(B),
% eta(A)) ->
% quotient(
% eta(quotient(
% quotient(
% quotient(
% eta(A),
% quotient(
% i(B),A)),
% eta(B)),B)),
% eta(B))
% Rule [246]
% quotient(difference(B,eta(A)),A) ->
% i(quotient(A,quotient(difference(B,A),A))) is composed into [246]
% quotient(
% difference(B,
% eta(A)),A)
% ->
% i(quotient(
% eta(A),
% quotient(
% i(B),A)))
% Rule [195] product(A,B) -> quotient(A,quotient(difference(B,A),A)) is composed into
% [195] product(A,B) -> quotient(eta(A),quotient(i(B),A))
% Rule [18]
% l(A,B,C) ->
% quotient(quotient(quotient(C,quotient(difference(quotient(A,quotient(
% difference(B,A),A)),C),C)),B),A) is composed into
% [18]
% l(A,B,C) ->
% quotient(quotient(quotient(eta(C),quotient(i(quotient(eta(A),quotient(i(B),A))),C)),B),A)
% New rule produced :
% [1113]
% quotient(A,quotient(difference(B,A),A)) -> quotient(eta(A),quotient(i(B),A))
% Rule [199] quotient(quotient(A,quotient(difference(B,A),A)),B) -> A
% collapsed.
% Rule
% [205]
% difference(A,quotient(quotient(A,quotient(difference(B,A),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
% [206]
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A)
% <->
% difference(A,quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))))
% collapsed.
% Rule
% [208]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(C,B),B)),A),A),A)))
% collapsed.
% Rule
% [209]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(C,B),B)),A),A),A)))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% collapsed.
% Rule [251] difference(t(A,B),quotient(A,quotient(difference(B,A),A))) -> A
% collapsed.
% Rule
% [253]
% difference(quotient(A,quotient(difference(B,A),A)),eta(A)) ->
% quotient(i(B),A) collapsed.
% Rule
% [261]
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(C,
% quotient(B,
% quotient(difference(A,B),B))),A))
% -> quotient(A,quotient(difference(C,A),A)) collapsed.
% Rule
% [262]
% quotient(eta(A),quotient(difference(B,eta(A)),eta(A))) ->
% quotient(eta(A),i(B)) collapsed.
% Rule
% [265]
% quotient(quotient(eta(A),i(B)),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
% [272]
% difference(j(j(A)),quotient(A,quotient(difference(B,A),A))) ->
% difference(eta(A),B) collapsed.
% Rule
% [278]
% quotient(quotient(A,quotient(difference(B,A),A)),i(A)) <->
% difference(i(A),quotient(quotient(eta(A),i(B)),i(A))) collapsed.
% Rule
% [280]
% difference(j(A),quotient(B,quotient(difference(A,B),B))) ->
% quotient(quotient(quotient(quotient(difference(j(A),B),quotient(difference(A,
% difference(
% j(A),B)),
% difference(j(A),B))),
% eta(A)),A),j(A)) collapsed.
% Rule
% [286]
% difference(B,quotient(quotient(B,C),quotient(difference(quotient(C,quotient(
% difference(A,C),C)),
% quotient(B,C)),quotient(B,C))))
% ->
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),C),quotient(B,C))
% collapsed.
% Rule
% [289]
% quotient(quotient(quotient(A,quotient(difference(B,A),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))
% -> A collapsed.
% Rule
% [290]
% difference(difference(A,quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(C,quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))),quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)))
% -> A collapsed.
% Rule
% [291]
% t(eta(A),quotient(B,quotient(difference(difference(eta(A),C),B),B))) ->
% quotient(quotient(t(eta(A),B),quotient(difference(C,t(eta(A),B)),t(eta(A),B))),
% eta(A)) collapsed.
% Rule
% [293] quotient(quotient(A,quotient(difference(B,A),A)),t(A,B)) -> t(t(A,B),A)
% collapsed.
% Rule
% [294]
% quotient(quotient(A,quotient(difference(B,A),A)),difference(eta(A),B)) ->
% j(j(A)) collapsed.
% Rule
% [296]
% quotient(eta(A),i(quotient(B,quotient(difference(t(eta(A),C),B),B)))) ->
% t(eta(A),quotient(quotient(quotient(quotient(B,quotient(difference(A,B),B)),
% eta(A)),A),quotient(difference(C,quotient(
% quotient(
% quotient(B,
% quotient(
% difference(A,B),B)),
% eta(A)),A)),
% quotient(quotient(quotient(B,quotient(
% difference(A,B),B)),
% eta(A)),A)))) collapsed.
% Rule
% [300]
% difference(quotient(A,quotient(difference(B,A),A)),quotient(quotient(A,
% quotient(
% difference(C,A),A)),
% quotient(difference(V_3,
% quotient(A,
% quotient(
% difference(C,A),A))),
% quotient(A,quotient(
% difference(C,A),A)))))
% <->
% quotient(difference(B,quotient(C,quotient(difference(quotient(V_3,quotient(
% difference(A,V_3),V_3)),C),C))),A)
% collapsed.
% Rule
% [301]
% quotient(difference(B,quotient(C,quotient(difference(quotient(V_3,quotient(
% difference(A,V_3),V_3)),C),C))),A)
% <->
% difference(quotient(A,quotient(difference(B,A),A)),quotient(quotient(A,
% quotient(
% difference(C,A),A)),
% quotient(difference(V_3,
% quotient(A,
% quotient(
% difference(C,A),A))),
% quotient(A,quotient(
% difference(C,A),A)))))
% collapsed.
% Rule
% [317]
% quotient(quotient(eta(A),i(quotient(B,quotient(difference(C,B),B)))),
% quotient(eta(A),i(B))) -> t(quotient(eta(A),i(B)),C) collapsed.
% Rule
% [318]
% quotient(quotient(quotient(j(quotient(B,quotient(difference(A,B),B))),
% quotient(difference(quotient(B,quotient(difference(A,B),B)),
% j(quotient(B,quotient(difference(A,B),B)))),
% j(quotient(B,quotient(difference(A,B),B))))),A),B) ->
% quotient(j(A),B) collapsed.
% Rule
% [323]
% quotient(difference(eta(A),quotient(B,quotient(difference(A,B),B))),A) ->
% difference(eta(A),B) collapsed.
% Rule
% [331]
% quotient(quotient(A,quotient(difference(quotient(eta(B),quotient(quotient(
% i(C),B),
% eta(B))),A),A)),C)
% <->
% difference(C,quotient(quotient(quotient(C,quotient(difference(A,C),C)),
% quotient(difference(B,quotient(C,quotient(difference(A,C),C))),
% quotient(C,quotient(difference(A,C),C)))),eta(B)))
% collapsed.
% Rule
% [340]
% quotient(quotient(eta(A),i(quotient(eta(B),i(quotient(C,quotient(difference(V_3,C),C)))))),V_3)
% -> quotient(eta(A),i(quotient(eta(B),i(C)))) collapsed.
% Rule
% [344]
% difference(difference(A,B),quotient(C,quotient(difference(A,C),C))) ->
% quotient(quotient(difference(difference(A,B),C),quotient(difference(B,
% difference(difference(A,B),C)),
% difference(difference(A,B),C))),
% difference(A,B)) collapsed.
% Rule
% [348]
% quotient(quotient(A,quotient(difference(quotient(B,j(B)),A),A)),quotient(
% t(B,quotient(A,
% quotient(
% difference(B,A),A))),A))
% -> quotient(A,quotient(difference(B,A),A)) collapsed.
% Rule
% [349]
% difference(eta(A),quotient(i(A),quotient(difference(B,i(A)),i(A)))) ->
% quotient(quotient(difference(A,quotient(quotient(quotient(B,quotient(
% difference(A,B),B)),
% eta(A)),A)),A),i(A)) collapsed.
% Rule
% [350]
% difference(A,quotient(quotient(A,B),quotient(difference(C,quotient(A,B)),
% quotient(A,B)))) <->
% quotient(quotient(quotient(difference(B,C),quotient(difference(A,difference(B,C)),
% difference(B,C))),B),quotient(A,B))
% collapsed.
% Rule
% [352]
% difference(quotient(quotient(A,B),quotient(difference(C,quotient(A,B)),
% quotient(A,B))),A) ->
% quotient(difference(C,quotient(difference(i(B),A),B)),quotient(A,B))
% collapsed.
% Rule
% [353]
% difference(quotient(A,quotient(difference(B,A),A)),j(j(A))) ->
% quotient(difference(B,i(i(A))),A) collapsed.
% Rule
% [354]
% t(quotient(A,quotient(difference(B,A),A)),quotient(difference(B,quotient(C,
% quotient(
% difference(A,C),C))),A))
% <->
% quotient(quotient(A,quotient(difference(C,A),A)),quotient(A,quotient(
% difference(B,A),A)))
% collapsed.
% Rule
% [355]
% quotient(quotient(A,quotient(difference(C,A),A)),quotient(A,quotient(
% difference(B,A),A)))
% <->
% t(quotient(A,quotient(difference(B,A),A)),quotient(difference(B,quotient(C,
% quotient(
% difference(A,C),C))),A))
% collapsed.
% Rule
% [360]
% difference(V_3,quotient(quotient(V_3,quotient(difference(quotient(eta(A),
% i(B)),V_3),V_3)),
% quotient(difference(C,quotient(V_3,quotient(difference(
% quotient(eta(A),
% i(B)),V_3),V_3))),
% quotient(V_3,quotient(difference(quotient(eta(A),i(B)),V_3),V_3)))))
% <->
% quotient(quotient(eta(A),i(quotient(B,quotient(difference(quotient(C,
% quotient(difference(V_3,C),C)),B),B)))),V_3)
% collapsed.
% Rule
% [361]
% difference(V_3,quotient(quotient(V_3,quotient(difference(A,V_3),V_3)),
% quotient(difference(quotient(eta(B),i(C)),quotient(V_3,
% quotient(difference(A,V_3),V_3))),
% quotient(V_3,quotient(difference(A,V_3),V_3))))) <->
% quotient(quotient(A,quotient(difference(quotient(eta(B),i(quotient(C,
% quotient(difference(V_3,C),C)))),A),A)),V_3)
% collapsed.
% Rule
% [362]
% quotient(quotient(eta(A),i(quotient(B,quotient(difference(quotient(C,
% quotient(difference(V_3,C),C)),B),B)))),V_3)
% <->
% difference(V_3,quotient(quotient(V_3,quotient(difference(quotient(eta(A),
% i(B)),V_3),V_3)),
% quotient(difference(C,quotient(V_3,quotient(difference(
% quotient(eta(A),
% i(B)),V_3),V_3))),
% quotient(V_3,quotient(difference(quotient(eta(A),i(B)),V_3),V_3)))))
% collapsed.
% Rule
% [363]
% quotient(quotient(A,quotient(difference(quotient(eta(B),i(quotient(C,
% quotient(difference(V_3,C),C)))),A),A)),V_3)
% <->
% difference(V_3,quotient(quotient(V_3,quotient(difference(A,V_3),V_3)),
% quotient(difference(quotient(eta(B),i(C)),quotient(V_3,
% quotient(difference(A,V_3),V_3))),
% quotient(V_3,quotient(difference(A,V_3),V_3))))) collapsed.
% Rule
% [365]
% quotient(A,quotient(difference(quotient(B,eta(C)),A),A)) ->
% quotient(quotient(A,quotient(difference(B,A),A)),eta(C)) collapsed.
% Rule
% [367]
% quotient(quotient(A,quotient(difference(B,A),A)),j(j(A))) <->
% t(j(j(A)),difference(eta(A),B)) collapsed.
% Rule
% [375]
% quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A))
% <->
% quotient(difference(i(quotient(A,quotient(difference(B,A),A))),quotient(
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B),A),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B),A)),
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B),A)))),
% quotient(A,quotient(difference(B,A),A))) collapsed.
% Rule
% [377]
% quotient(quotient(A,quotient(difference(j(j(B)),A),A)),eta(B)) ->
% quotient(A,quotient(difference(B,A),A)) collapsed.
% Rule
% [388]
% quotient(quotient(A,quotient(difference(quotient(B,j(B)),A),A)),quotient(A,
% quotient(
% difference(B,A),A)))
% ->
% t(quotient(A,quotient(difference(B,A),A)),quotient(t(B,quotient(A,quotient(
% difference(B,A),A))),A))
% collapsed.
% Rule
% [390]
% difference(quotient(i(A),quotient(difference(B,i(A)),i(A))),eta(A)) ->
% quotient(i(B),i(A)) collapsed.
% Rule
% [391]
% quotient(A,quotient(difference(B,A),A)) <->
% quotient(difference(i(A),quotient(B,quotient(difference(A,B),B))),A)
% collapsed.
% Rule
% [393]
% quotient(j(j(A)),quotient(difference(B,j(j(A))),j(j(A)))) <->
% quotient(difference(i(A),quotient(quotient(eta(A),i(B)),quotient(difference(A,B),B))),A)
% collapsed.
% Rule
% [395]
% quotient(difference(i(A),quotient(B,quotient(difference(A,B),B))),A) <->
% quotient(A,quotient(difference(B,A),A)) collapsed.
% Rule
% [396]
% difference(quotient(A,quotient(difference(B,A),A)),quotient(t(A,B),quotient(
% difference(C,
% t(A,B)),
% t(A,B))))
% ->
% quotient(difference(A,quotient(C,quotient(difference(t(A,B),C),C))),t(A,B))
% collapsed.
% Rule
% [397]
% difference(quotient(t(A,B),quotient(difference(C,t(A,B)),t(A,B))),quotient(A,
% quotient(
% difference(B,A),A)))
% ->
% quotient(difference(C,quotient(difference(i(A),quotient(t(A,B),quotient(
% difference(A,
% t(A,B)),
% t(A,B)))),A)),
% t(A,B)) collapsed.
% Rule
% [404]
% quotient(difference(i(quotient(A,quotient(difference(B,A),A))),quotient(
% quotient(
% eta(A),
% j(eta(
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% eta(A),
% j(eta(
% quotient(A,
% quotient(
% difference(B,A),A)))))),
% quotient(
% eta(A),
% j(eta(
% quotient(A,
% quotient(
% difference(B,A),A)))))))),
% quotient(A,quotient(difference(B,A),A))) ->
% quotient(quotient(quotient(quotient(difference(i(A),quotient(quotient(
% quotient(
% quotient(B,
% quotient(
% difference(A,B),B)),
% eta(A)),A),
% quotient(difference(A,
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(A,B),B)),
% eta(A)),A)),
% quotient(quotient(
% quotient(B,
% quotient(
% difference(A,B),B)),
% eta(A)),A)))),A),
% quotient(difference(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(i(A),quotient(quotient(
% quotient(
% quotient(B,
% quotient(
% difference(A,B),B)),
% eta(A)),A),
% quotient(difference(A,
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(A,B),B)),
% eta(A)),A)),
% quotient(quotient(
% quotient(B,
% quotient(
% difference(A,B),B)),
% eta(A)),A)))),A)),
% quotient(difference(i(A),quotient(quotient(quotient(
% quotient(B,
% quotient(
% difference(A,B),B)),
% eta(A)),A),
% quotient(difference(A,quotient(
% quotient(
% quotient(B,
% quotient(
% difference(A,B),B)),
% eta(A)),A)),
% quotient(quotient(quotient(B,
% quotient(
% difference(A,B),B)),
% eta(A)),A)))),A))),
% eta(quotient(A,quotient(difference(B,A),A)))),quotient(A,quotient(
% difference(B,A),A)))
% collapsed.
% Rule
% [409]
% quotient(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))
% -> quotient(A,quotient(difference(B,A),A)) collapsed.
% Rule
% [410]
% quotient(difference(B,quotient(quotient(B,quotient(difference(A,B),B)),
% quotient(difference(t(B,C),quotient(B,quotient(
% difference(A,B),B))),
% quotient(B,quotient(difference(A,B),B))))),t(B,C)) <->
% quotient(quotient(quotient(A,quotient(difference(quotient(B,quotient(
% difference(C,B),B)),A),A)),B),
% t(B,C)) collapsed.
% Rule
% [411]
% quotient(quotient(quotient(A,quotient(difference(quotient(B,quotient(
% difference(C,B),B)),A),A)),B),
% t(B,C)) <->
% quotient(difference(B,quotient(quotient(B,quotient(difference(A,B),B)),
% quotient(difference(t(B,C),quotient(B,quotient(
% difference(A,B),B))),
% quotient(B,quotient(difference(A,B),B))))),t(B,C))
% collapsed.
% Rule
% [420]
% difference(A,quotient(B,quotient(difference(i(A),B),B))) ->
% quotient(difference(A,quotient(quotient(quotient(B,quotient(difference(A,B),B)),
% eta(A)),A)),A) collapsed.
% Rule
% [421]
% difference(eta(A),quotient(A,quotient(difference(B,A),A))) <->
% quotient(quotient(quotient(quotient(quotient(difference(j(A),B),quotient(
% difference(A,
% difference(
% j(A),B)),
% difference(
% j(A),B))),
% eta(A)),A),j(A)),A) collapsed.
% Rule
% [423]
% difference(i(i(A)),quotient(eta(A),i(quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(C,quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))))))
% <->
% quotient(quotient(B,quotient(difference(quotient(quotient(C,quotient(
% difference(A,C),C)),
% eta(A)),B),B)),i(i(A))) collapsed.
% Rule
% [427]
% t(quotient(A,quotient(difference(B,A),A)),quotient(quotient(quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B),A))
% <->
% quotient(quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A)),
% quotient(A,quotient(difference(B,A),A))) collapsed.
% Rule
% [428]
% quotient(quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A)),
% quotient(A,quotient(difference(B,A),A))) <->
% t(quotient(A,quotient(difference(B,A),A)),quotient(quotient(quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C)),B),A))
% collapsed.
% Rule
% [429]
% quotient(quotient(quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),B),A)
% <->
% quotient(quotient(quotient(t(quotient(A,quotient(difference(B,A),A)),C),
% quotient(difference(quotient(A,quotient(difference(B,A),A)),
% t(quotient(A,quotient(difference(B,A),A)),C)),
% t(quotient(A,quotient(difference(B,A),A)),C))),B),A)
% collapsed.
% Rule
% [430]
% quotient(quotient(quotient(t(quotient(A,quotient(difference(B,A),A)),C),
% quotient(difference(quotient(A,quotient(difference(B,A),A)),
% t(quotient(A,quotient(difference(B,A),A)),C)),
% t(quotient(A,quotient(difference(B,A),A)),C))),B),A) <->
% quotient(quotient(quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),B),A)
% collapsed.
% Rule
% [431]
% quotient(quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A)),
% difference(C,quotient(quotient(C,quotient(difference(A,C),C)),quotient(
% difference(B,
% quotient(C,
% quotient(
% difference(A,C),C))),
% quotient(C,
% quotient(
% difference(A,C),C))))))
% ->
% t(quotient(quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A)),C),C)
% collapsed.
% Rule
% [433]
% difference(A,quotient(quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(C,quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))),quotient(
% difference(V_3,
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))))))
% <->
% quotient(quotient(quotient(quotient(B,quotient(difference(quotient(C,
% quotient(difference(A,C),C)),B),B)),A),
% quotient(difference(quotient(V_3,quotient(difference(A,V_3),V_3)),
% quotient(quotient(B,quotient(difference(quotient(C,
% quotient(difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(quotient(C,quotient(
% difference(A,C),C)),B),B)),A))),A)
% collapsed.
% Rule
% [434]
% quotient(quotient(quotient(quotient(B,quotient(difference(quotient(C,
% quotient(difference(A,C),C)),B),B)),A),
% quotient(difference(quotient(V_3,quotient(difference(A,V_3),V_3)),
% quotient(quotient(B,quotient(difference(quotient(C,
% quotient(difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(quotient(C,quotient(
% difference(A,C),C)),B),B)),A))),A)
% <->
% difference(A,quotient(quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(C,quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))),quotient(
% difference(V_3,
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))))))
% collapsed.
% Rule
% [435]
% difference(V_3,quotient(quotient(V_3,quotient(difference(A,V_3),V_3)),
% quotient(difference(quotient(B,quotient(difference(C,B),B)),
% quotient(V_3,quotient(difference(A,V_3),V_3))),
% quotient(V_3,quotient(difference(A,V_3),V_3))))) <->
% quotient(quotient(A,quotient(difference(quotient(difference(i(B),quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),C),C))),B),A),A)),V_3)
% collapsed.
% Rule
% [436]
% difference(V_3,quotient(quotient(V_3,quotient(difference(quotient(A,quotient(
% difference(B,A),A)),V_3),V_3)),
% quotient(difference(C,quotient(V_3,quotient(difference(
% quotient(A,
% quotient(difference(B,A),A)),V_3),V_3))),
% quotient(V_3,quotient(difference(quotient(A,quotient(difference(B,A),A)),V_3),V_3)))))
% <->
% quotient(quotient(difference(i(A),quotient(B,quotient(difference(quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(
% difference(A,
% quotient(C,
% quotient(
% difference(V_3,C),C))),
% quotient(C,
% quotient(
% difference(V_3,C),C)))),B),B))),A),V_3)
% collapsed.
% Rule
% [439]
% quotient(quotient(t(A,B),quotient(difference(A,t(A,B)),t(A,B))),quotient(
% difference(C,
% quotient(
% t(A,B),
% quotient(
% difference(A,
% t(A,B)),
% t(A,B)))),
% quotient(
% t(A,B),
% quotient(
% difference(A,
% t(A,B)),
% t(A,B)))))
% <->
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(C,
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% collapsed.
% Rule
% [440]
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(C,
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% <->
% quotient(quotient(t(A,B),quotient(difference(A,t(A,B)),t(A,B))),quotient(
% difference(C,
% quotient(
% t(A,B),
% quotient(
% difference(A,
% t(A,B)),
% t(A,B)))),
% quotient(
% t(A,B),
% quotient(
% difference(A,
% t(A,B)),
% t(A,B)))))
% collapsed.
% Rule
% [441]
% quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A))
% <->
% quotient(quotient(A,quotient(difference(quotient(difference(i(B),quotient(C,
% quotient(
% difference(
% quotient(
% eta(V_3),
% i(B)),C),C))),B),A),A)),
% eta(V_3)) collapsed.
% Rule
% [444]
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(C,
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% <->
% quotient(quotient(difference(i(A),quotient(B,quotient(difference(quotient(
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% eta(V_3)),V_3),
% quotient(
% difference(A,
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% eta(V_3)),V_3)),
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% eta(V_3)),V_3))),B),B))),A),
% eta(V_3)) collapsed.
% Rule
% [445]
% difference(A,quotient(B,quotient(difference(C,B),B))) <->
% quotient(quotient(quotient(difference(difference(B,A),C),quotient(difference(A,
% difference(
% difference(B,A),C)),
% difference(difference(B,A),C))),
% difference(B,A)),B) collapsed.
% Rule
% [446]
% quotient(quotient(quotient(difference(difference(B,A),C),quotient(difference(A,
% difference(
% difference(B,A),C)),
% difference(difference(B,A),C))),
% difference(B,A)),B) <->
% difference(A,quotient(B,quotient(difference(C,B),B))) collapsed.
% Rule
% [447]
% difference(quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(A,quotient(difference(V_3,A),A))) <->
% quotient(difference(quotient(quotient(B,quotient(difference(quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(V_3,quotient(difference(A,V_3),V_3))),A) collapsed.
% Rule
% [448]
% quotient(difference(quotient(quotient(B,quotient(difference(quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(V_3,quotient(difference(A,V_3),V_3))),A) <->
% difference(quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(A,quotient(difference(V_3,A),A))) collapsed.
% Rule
% [456]
% quotient(quotient(quotient(quotient(eta(A),i(B)),quotient(difference(
% quotient(C,
% quotient(difference(V_3,C),C)),B),B)),V_3),C)
% ->
% quotient(quotient(quotient(eta(A),i(quotient(B,quotient(difference(quotient(C,
% quotient(
% difference(V_3,C),C)),B),B)))),V_3),C)
% collapsed.
% Rule
% [457]
% quotient(difference(B,quotient(j(j(B)),quotient(difference(A,j(j(B))),
% j(j(B))))),A) -> eta(B) collapsed.
% Rule
% [461]
% quotient(j(A),quotient(difference(B,j(A)),j(A))) <->
% quotient(difference(A,quotient(B,quotient(difference(j(A),B),B))),j(A))
% collapsed.
% Rule
% [462]
% quotient(difference(A,quotient(B,quotient(difference(j(A),B),B))),j(A)) <->
% quotient(j(A),quotient(difference(B,j(A)),j(A))) collapsed.
% Rule
% [463]
% quotient(quotient(difference(i(B),quotient(t(eta(quotient(A,quotient(
% difference(B,A),A))),
% quotient(difference(i(A),quotient(
% eta(
% quotient(A,
% quotient(
% difference(B,A),A))),
% i(A))),A)),
% quotient(difference(B,t(eta(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(difference(
% i(A),
% quotient(
% eta(
% quotient(A,
% quotient(
% difference(B,A),A))),
% i(A))),A))),
% t(eta(quotient(A,quotient(difference(B,A),A))),
% quotient(difference(i(A),quotient(eta(
% quotient(A,
% quotient(
% difference(B,A),A))),
% i(A))),A))))),B),A)
% -> difference(A,j(j(quotient(A,quotient(difference(B,A),A))))) collapsed.
% Rule
% [468]
% difference(t(eta(A),B),quotient(t(eta(A),quotient(B,j(B))),quotient(difference(C,
% t(
% eta(A),
% quotient(B,
% j(B)))),
% t(eta(A),quotient(B,
% j(B))))))
% -> t(t(eta(A),B),quotient(C,quotient(difference(t(eta(A),B),C),C)))
% collapsed.
% Rule
% [473]
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% quotient(C,
% quotient(difference(V_3,C),C)),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% <->
% quotient(difference(i(A),quotient(B,quotient(difference(quotient(difference(
% i(C),
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),V_3),V_3))),C),B),B))),A)
% collapsed.
% Rule
% [474]
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A)))),
% quotient(difference(V_3,quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(C,quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))))
% <->
% quotient(difference(i(A),quotient(quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(quotient(V_3,quotient(difference(A,V_3),V_3)),
% quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A)
% collapsed.
% Rule
% [475]
% quotient(quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A)),
% quotient(difference(V_3,quotient(A,quotient(difference(quotient(B,quotient(
% difference(C,B),B)),A),A))),
% quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A))))
% <->
% quotient(difference(i(A),quotient(difference(i(B),quotient(C,quotient(
% difference(
% quotient(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),
% quotient(
% difference(B,
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3))),
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)))),C),C))),B)),A)
% collapsed.
% Rule
% [482]
% quotient(difference(i(B),quotient(quotient(i(B),quotient(difference(A,i(B)),
% i(B))),quotient(difference(B,
% quotient(
% i(B),
% quotient(
% difference(A,
% i(B)),
% i(B)))),
% quotient(i(B),
% quotient(difference(A,
% i(B)),
% i(B)))))),B) ->
% quotient(quotient(A,i(B)),B) collapsed.
% Rule
% [483]
% difference(j(A),quotient(quotient(j(A),quotient(difference(A,j(A)),j(A))),
% quotient(difference(B,quotient(j(A),quotient(difference(A,
% j(A)),j(A)))),
% quotient(j(A),quotient(difference(A,j(A)),j(A)))))) ->
% difference(j(A),B) collapsed.
% Rule
% [484]
% quotient(difference(B,quotient(quotient(B,quotient(difference(A,B),B)),
% quotient(difference(j(B),quotient(B,quotient(difference(A,B),B))),
% quotient(B,quotient(difference(A,B),B))))),j(B)) ->
% quotient(quotient(A,B),j(B)) collapsed.
% Rule
% [486]
% quotient(i(i(A)),quotient(difference(B,i(i(A))),i(i(A)))) ->
% quotient(eta(A),i(quotient(A,quotient(difference(B,A),A)))) collapsed.
% Rule
% [497]
% quotient(j(j(A)),quotient(difference(B,j(j(A))),j(j(A)))) <->
% quotient(quotient(difference(i(A),quotient(quotient(quotient(eta(A),i(B)),
% quotient(difference(eta(C),B),B)),
% quotient(difference(A,quotient(quotient(
% eta(A),
% i(B)),
% quotient(difference(
% eta(C),B),B))),
% quotient(quotient(eta(A),i(B)),quotient(
% difference(
% eta(C),B),B))))),A),
% eta(C)) collapsed.
% Rule
% [498]
% quotient(quotient(difference(i(A),quotient(quotient(quotient(eta(A),i(B)),
% quotient(difference(eta(C),B),B)),
% quotient(difference(A,quotient(quotient(
% eta(A),
% i(B)),
% quotient(difference(
% eta(C),B),B))),
% quotient(quotient(eta(A),i(B)),quotient(
% difference(
% eta(C),B),B))))),A),
% eta(C)) <-> quotient(j(j(A)),quotient(difference(B,j(j(A))),j(j(A))))
% collapsed.
% Rule
% [499]
% quotient(quotient(A,quotient(difference(quotient(quotient(eta(B),i(C)),
% quotient(difference(eta(V_3),C),C)),A),A)),
% eta(V_3)) -> quotient(A,quotient(difference(quotient(eta(B),i(C)),A),A))
% collapsed.
% Rule
% [504]
% quotient(j(A),quotient(difference(B,j(A)),j(A))) <->
% quotient(difference(i(i(A)),quotient(quotient(eta(A),i(B)),quotient(difference(
% i(A),B),B))),
% i(A)) collapsed.
% Rule
% [507]
% quotient(quotient(C,quotient(difference(quotient(V_3,quotient(difference(
% quotient(
% eta(A),
% i(B)),V_3),V_3)),C),C)),
% quotient(eta(A),i(B))) <->
% difference(quotient(eta(A),i(B)),quotient(eta(A),i(quotient(quotient(B,
% quotient(
% difference(C,B),B)),
% quotient(difference(V_3,
% quotient(B,
% quotient(
% difference(C,B),B))),
% quotient(B,quotient(
% difference(C,B),B)))))))
% collapsed.
% Rule
% [508]
% difference(quotient(eta(A),i(B)),quotient(eta(A),i(quotient(quotient(B,
% quotient(
% difference(C,B),B)),
% quotient(difference(V_3,
% quotient(B,
% quotient(
% difference(C,B),B))),
% quotient(B,quotient(
% difference(C,B),B)))))))
% <->
% quotient(quotient(C,quotient(difference(quotient(V_3,quotient(difference(
% quotient(
% eta(A),
% i(B)),V_3),V_3)),C),C)),
% quotient(eta(A),i(B))) collapsed.
% Rule
% [509]
% quotient(difference(i(A),quotient(quotient(eta(A),j(eta(B))),quotient(
% difference(A,
% quotient(
% eta(A),j(eta(B)))),
% quotient(
% eta(A),j(eta(B)))))),A)
% ->
% quotient(quotient(difference(i(A),quotient(quotient(eta(A),i(i(i(B)))),
% quotient(difference(A,i(i(B))),i(i(B))))),A),B)
% collapsed.
% Rule
% [512]
% quotient(B,quotient(difference(quotient(C,quotient(difference(j(j(A)),C),C)),B),B))
% <->
% quotient(difference(j(j(A)),quotient(quotient(j(j(A)),quotient(difference(B,
% j(j(A))),
% j(j(A)))),quotient(
% difference(C,
% quotient(
% j(j(A)),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A))))),
% quotient(
% j(j(A)),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A))))))),
% quotient(difference(j(j(A)),difference(j(j(A)),quotient(quotient(j(j(A)),
% quotient(difference(B,
% j(j(A))),
% j(j(A)))),quotient(
% difference(C,
% quotient(
% j(j(A)),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A))))),
% quotient(
% j(j(A)),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A)))))))),
% difference(j(j(A)),quotient(quotient(j(j(A)),quotient(difference(B,j(j(A))),
% j(j(A)))),quotient(difference(C,
% quotient(
% j(j(A)),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A))))),
% quotient(j(j(A)),
% quotient(difference(B,
% j(j(A))),
% j(j(A)))))))))
% collapsed.
% Rule
% [513]
% quotient(difference(j(j(A)),quotient(quotient(j(j(A)),quotient(difference(B,
% j(j(A))),
% j(j(A)))),quotient(
% difference(C,
% quotient(
% j(j(A)),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A))))),
% quotient(
% j(j(A)),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A))))))),
% quotient(difference(j(j(A)),difference(j(j(A)),quotient(quotient(j(j(A)),
% quotient(difference(B,
% j(j(A))),
% j(j(A)))),quotient(
% difference(C,
% quotient(
% j(j(A)),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A))))),
% quotient(
% j(j(A)),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A)))))))),
% difference(j(j(A)),quotient(quotient(j(j(A)),quotient(difference(B,j(j(A))),
% j(j(A)))),quotient(difference(C,
% quotient(
% j(j(A)),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A))))),
% quotient(j(j(A)),
% quotient(difference(B,
% j(j(A))),
% j(j(A))))))))) <->
% quotient(B,quotient(difference(quotient(C,quotient(difference(j(j(A)),C),C)),B),B))
% collapsed.
% Rule
% [516]
% quotient(difference(i(A),quotient(difference(A,j(j(quotient(A,quotient(
% difference(B,A),A))))),
% quotient(difference(A,difference(A,j(j(quotient(A,
% quotient(
% difference(B,A),A)))))),
% difference(A,j(j(quotient(A,quotient(difference(B,A),A)))))))),A)
% -> j(j(quotient(A,quotient(difference(B,A),A)))) collapsed.
% Rule
% [517]
% quotient(quotient(difference(A,B),quotient(difference(quotient(eta(C),
% i(quotient(C,quotient(
% difference(A,C),C)))),
% difference(A,B)),difference(A,B))),A)
% -> difference(A,quotient(quotient(B,quotient(difference(C,B),B)),eta(C)))
% collapsed.
% Rule
% [518]
% difference(quotient(t(eta(A),B),quotient(difference(C,t(eta(A),B)),t(
% eta(A),B))),
% t(eta(A),quotient(B,quotient(difference(V_3,B),B)))) ->
% quotient(difference(C,t(eta(A),quotient(V_3,quotient(difference(B,V_3),V_3)))),
% t(eta(A),B)) collapsed.
% Rule
% [519]
% difference(quotient(difference(C,B),quotient(difference(A,difference(C,B)),
% difference(C,B))),quotient(difference(
% i(difference(C,B)),B),
% difference(C,B))) ->
% quotient(difference(A,B),difference(C,B)) collapsed.
% Rule
% [523]
% quotient(quotient(j(A),quotient(difference(B,j(A)),j(A))),A) <->
% difference(A,quotient(quotient(eta(A),i(B)),A)) collapsed.
% Rule
% [524]
% quotient(quotient(difference(i(A),quotient(quotient(quotient(eta(A),i(B)),
% quotient(difference(j(A),B),B)),
% quotient(difference(A,quotient(quotient(
% eta(A),
% i(B)),
% quotient(difference(
% j(A),B),B))),
% quotient(quotient(eta(A),i(B)),quotient(
% difference(
% j(A),B),B))))),A),
% j(A)) -> difference(j(A),quotient(eta(A),i(B))) collapsed.
% Rule
% [525]
% quotient(quotient(A,quotient(difference(quotient(eta(B),i(C)),A),A)),
% quotient(difference(V_3,quotient(A,quotient(difference(quotient(eta(B),i(C)),A),A))),
% quotient(A,quotient(difference(quotient(eta(B),i(C)),A),A)))) <->
% quotient(difference(i(A),quotient(quotient(eta(B),i(C)),quotient(difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),C),C))),A)
% collapsed.
% Rule
% [528]
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% quotient(eta(C),
% i(V_3)),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% <->
% quotient(difference(i(A),quotient(B,quotient(difference(quotient(quotient(
% eta(C),
% i(V_3)),
% quotient(difference(A,V_3),V_3)),B),B))),A)
% collapsed.
% Rule
% [529]
% quotient(quotient(difference(A,B),quotient(difference(quotient(quotient(
% eta(C),
% i(V_3)),
% quotient(difference(A,V_3),V_3)),
% difference(A,B)),difference(A,B))),A)
% ->
% difference(A,quotient(B,quotient(difference(quotient(eta(C),i(V_3)),B),B)))
% collapsed.
% Rule
% [531]
% difference(quotient(A,quotient(difference(B,A),A)),quotient(A,quotient(
% difference(C,A),A)))
% -> quotient(difference(B,quotient(C,quotient(difference(A,C),C))),A)
% collapsed.
% Rule
% [533]
% quotient(quotient(C,quotient(difference(quotient(V_3,quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),V_3),V_3)),C),C)),
% quotient(A,quotient(difference(B,A),A))) <->
% difference(quotient(A,quotient(difference(B,A),A)),quotient(quotient(
% difference(
% i(A),quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B))),A),
% quotient(difference(V_3,
% quotient(
% difference(
% i(A),quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B))),A)),
% quotient(difference(
% i(A),quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B))),A))))
% collapsed.
% Rule
% [539]
% difference(A,quotient(B,quotient(difference(quotient(C,A),B),B))) ->
% quotient(quotient(difference(A,B),quotient(difference(C,difference(A,B)),
% difference(A,B))),A) collapsed.
% Rule
% [541]
% difference(quotient(A,quotient(difference(B,A),A)),C) <->
% quotient(difference(B,quotient(difference(i(difference(A,C)),C),difference(A,C))),A)
% collapsed.
% Rule
% [544]
% quotient(difference(C,quotient(V_3,quotient(difference(quotient(A,quotient(
% difference(B,A),A)),V_3),V_3))),
% quotient(A,quotient(difference(B,A),A))) <->
% difference(quotient(difference(i(A),quotient(B,quotient(difference(quotient(C,
% quotient(
% difference(A,C),C)),B),B))),A),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(V_3,
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% collapsed.
% Rule
% [548]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(
% i(A),B),B)),A),A),A)))
% ->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(j(A),difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% collapsed.
% Rule
% [549]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(
% i(A),
% quotient(
% difference(B,
% i(A)),
% i(A))),A),A),A)))
% ->
% quotient(difference(A,quotient(difference(quotient(A,j(A)),quotient(A,
% quotient(quotient(
% difference(B,A),A),A))),
% quotient(difference(j(A),difference(quotient(A,j(A)),
% quotient(A,quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))))),
% j(A)) collapsed.
% Rule
% [556]
% difference(quotient(eta(A),i(B)),quotient(eta(A),i(quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% eta(A),
% i(B)),
% j(B))),B),
% quotient(difference(C,
% quotient(
% difference(
% i(B),quotient(
% quotient(
% eta(A),
% i(B)),
% j(B))),B)),
% quotient(difference(
% i(B),quotient(
% quotient(
% eta(A),
% i(B)),
% j(B))),B))))))
% ->
% t(quotient(eta(A),i(B)),quotient(C,quotient(difference(quotient(eta(A),i(B)),C),C)))
% collapsed.
% Rule
% [557]
% quotient(quotient(A,quotient(difference(quotient(quotient(difference(
% i(B),quotient(
% quotient(
% eta(B),
% i(i(i(C)))),
% quotient(
% difference(B,
% i(i(C))),
% i(i(C))))),B),C),A),A)),
% eta(C)) -> quotient(A,quotient(difference(j(j(B)),A),A)) collapsed.
% Rule
% [559]
% quotient(quotient(difference(A,quotient(quotient(quotient(eta(B),i(C)),
% quotient(difference(A,C),C)),
% quotient(difference(j(A),quotient(quotient(
% eta(B),
% i(C)),
% quotient(difference(A,C),C))),
% quotient(quotient(eta(B),i(C)),quotient(
% difference(A,C),C))))),
% j(A)),A) -> difference(A,quotient(eta(A),i(quotient(eta(B),i(C)))))
% collapsed.
% Rule
% [564]
% difference(quotient(eta(B),quotient(quotient(i(C),B),eta(B))),quotient(
% eta(B),
% quotient(
% quotient(
% i(quotient(C,
% quotient(
% difference(A,C),C))),B),
% eta(B)))) ->
% quotient(quotient(quotient(A,quotient(difference(quotient(eta(B),quotient(
% quotient(
% i(C),B),
% eta(B))),A),A)),C),
% i(i(B))) collapsed.
% Rule
% [566]
% difference(quotient(j(j(A)),quotient(difference(B,j(j(A))),j(j(A)))),
% quotient(difference(i(A),quotient(quotient(quotient(eta(A),i(B)),j(B)),
% quotient(difference(A,quotient(quotient(eta(A),i(B)),
% j(B))),quotient(quotient(
% eta(A),
% i(B)),
% j(B))))),A)) ->
% quotient(t(B,quotient(j(j(A)),quotient(difference(B,j(j(A))),j(j(A))))),
% j(j(A))) collapsed.
% Rule
% [568]
% quotient(quotient(A,quotient(difference(t(eta(B),quotient(C,quotient(
% difference(V_3,C),C))),A),A)),
% t(eta(B),V_3)) <->
% difference(t(eta(B),V_3),quotient(quotient(t(eta(B),V_3),quotient(difference(A,
% t(eta(B),V_3)),
% t(eta(B),V_3))),
% quotient(difference(t(eta(B),C),quotient(t(eta(B),V_3),
% quotient(difference(A,
% t(eta(B),V_3)),
% t(eta(B),V_3)))),
% quotient(t(eta(B),V_3),quotient(difference(A,
% t(eta(B),V_3)),
% t(eta(B),V_3)))))) collapsed.
% Rule
% [569]
% difference(t(eta(B),V_3),quotient(quotient(t(eta(B),V_3),quotient(difference(A,
% t(eta(B),V_3)),
% t(eta(B),V_3))),
% quotient(difference(t(eta(B),C),quotient(t(eta(B),V_3),
% quotient(difference(A,
% t(eta(B),V_3)),
% t(eta(B),V_3)))),
% quotient(t(eta(B),V_3),quotient(difference(A,
% t(eta(B),V_3)),
% t(eta(B),V_3)))))) <->
% quotient(quotient(A,quotient(difference(t(eta(B),quotient(C,quotient(
% difference(V_3,C),C))),A),A)),
% t(eta(B),V_3)) collapsed.
% Rule
% [570]
% quotient(quotient(t(eta(A),C),quotient(difference(quotient(V_3,quotient(
% difference(
% t(eta(A),B),V_3),V_3)),
% t(eta(A),C)),t(eta(A),C))),t(eta(A),B))
% <->
% difference(t(eta(A),B),quotient(t(eta(A),quotient(B,quotient(difference(C,B),B))),
% quotient(difference(V_3,t(eta(A),quotient(B,quotient(
% difference(C,B),B)))),
% t(eta(A),quotient(B,quotient(difference(C,B),B))))))
% collapsed.
% Rule
% [571]
% difference(t(eta(A),B),quotient(t(eta(A),quotient(B,quotient(difference(C,B),B))),
% quotient(difference(V_3,t(eta(A),quotient(B,quotient(
% difference(C,B),B)))),
% t(eta(A),quotient(B,quotient(difference(C,B),B))))))
% <->
% quotient(quotient(t(eta(A),C),quotient(difference(quotient(V_3,quotient(
% difference(
% t(eta(A),B),V_3),V_3)),
% t(eta(A),C)),t(eta(A),C))),t(eta(A),B))
% collapsed.
% Rule
% [572]
% difference(quotient(eta(B),i(quotient(C,quotient(difference(V_3,C),C)))),
% quotient(eta(B),i(quotient(C,quotient(difference(quotient(V_3,quotient(
% difference(A,V_3),V_3)),C),C)))))
% ->
% quotient(quotient(quotient(A,quotient(difference(quotient(eta(B),i(quotient(C,
% quotient(
% difference(V_3,C),C)))),A),A)),V_3),
% quotient(eta(B),i(C))) collapsed.
% Rule
% [573]
% quotient(difference(quotient(eta(B),i(C)),quotient(quotient(eta(B),i(
% quotient(C,
% quotient(
% difference(V_3,C),C)))),
% quotient(difference(A,quotient(C,
% quotient(
% difference(V_3,C),C))),
% quotient(C,quotient(difference(V_3,C),C))))),A)
% <->
% quotient(quotient(quotient(V_3,quotient(difference(quotient(A,quotient(
% difference(
% quotient(
% eta(B),
% i(C)),A),A)),V_3),V_3)),
% quotient(eta(B),i(C))),A) collapsed.
% Rule
% [574]
% quotient(quotient(quotient(V_3,quotient(difference(quotient(A,quotient(
% difference(
% quotient(
% eta(B),
% i(C)),A),A)),V_3),V_3)),
% quotient(eta(B),i(C))),A) <->
% quotient(difference(quotient(eta(B),i(C)),quotient(quotient(eta(B),i(
% quotient(C,
% quotient(
% difference(V_3,C),C)))),
% quotient(difference(A,quotient(C,
% quotient(
% difference(V_3,C),C))),
% quotient(C,quotient(difference(V_3,C),C))))),A)
% collapsed.
% Rule
% [577]
% quotient(quotient(A,quotient(difference(j(j(B)),A),A)),quotient(difference(C,
% quotient(A,
% quotient(
% difference(
% j(j(B)),A),A))),
% quotient(A,quotient(
% difference(
% j(j(B)),A),A))))
% <->
% quotient(difference(i(A),quotient(difference(i(B),quotient(quotient(eta(B),
% i(quotient(C,
% quotient(
% difference(A,C),C)))),
% quotient(difference(B,
% quotient(C,
% quotient(difference(A,C),C))),
% quotient(C,quotient(
% difference(A,C),C))))),B)),A)
% collapsed.
% Rule
% [582]
% quotient(difference(quotient(quotient(B,quotient(difference(quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(B,quotient(difference(quotient(quotient(C,j(C)),quotient(
% difference(A,
% quotient(C,
% j(C))),
% quotient(C,
% j(C)))),B),B))),A)
% ->
% quotient(t(C,quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(A,quotient(difference(B,A),A))) collapsed.
% Rule
% [583]
% difference(t(eta(A),quotient(B,quotient(difference(C,B),B))),quotient(
% t(eta(A),B),
% quotient(
% difference(V_3,
% t(eta(A),B)),
% t(eta(A),B))))
% ->
% quotient(difference(t(eta(A),C),quotient(V_3,quotient(difference(t(eta(A),B),V_3),V_3))),
% t(eta(A),B)) collapsed.
% Rule
% [586]
% difference(A,quotient(quotient(A,j(A)),quotient(difference(B,quotient(A,j(A))),
% quotient(A,j(A))))) ->
% t(A,quotient(B,quotient(difference(A,B),B))) collapsed.
% Rule
% [587]
% t(A,quotient(eta(B),i(quotient(B,quotient(difference(A,B),B))))) ->
% t(A,quotient(eta(B),quotient(quotient(i(A),B),eta(B)))) collapsed.
% Rule
% [589]
% quotient(quotient(quotient(eta(C),i(quotient(A,quotient(difference(B,A),A)))),B),A)
% -> eta(C) collapsed.
% Rule
% [592]
% quotient(quotient(difference(i(A),quotient(quotient(quotient(eta(B),i(C)),
% quotient(difference(i(A),C),C)),
% quotient(difference(A,quotient(quotient(
% eta(B),
% i(C)),
% quotient(difference(
% i(A),C),C))),
% quotient(quotient(eta(B),i(C)),quotient(
% difference(
% i(A),C),C))))),A),
% i(A)) -> difference(i(A),quotient(eta(A),i(quotient(eta(B),i(C)))))
% collapsed.
% Rule
% [593]
% quotient(eta(C),i(quotient(difference(eta(C),A),quotient(difference(B,
% difference(eta(C),A)),
% difference(eta(C),A))))) ->
% quotient(A,quotient(difference(B,A),A)) collapsed.
% Rule
% [594]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(difference(B,A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(difference(B,A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(difference(B,A),A))))) <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(
% difference(A,B),
% quotient(
% difference(C,
% difference(A,B)),
% difference(A,B))),A),A),A)))
% collapsed.
% Rule
% [596]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(
% difference(A,B),
% quotient(
% difference(C,
% difference(A,B)),
% difference(A,B))),A),A),A)))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(difference(B,A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(difference(B,A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(difference(B,A),A)))))
% collapsed.
% Rule
% [597]
% quotient(difference(A,quotient(difference(i(quotient(A,quotient(difference(B,A),A))),
% quotient(t(quotient(A,quotient(difference(B,A),A)),C),
% quotient(difference(quotient(A,quotient(
% difference(B,A),A)),
% t(quotient(A,quotient(difference(B,A),A)),C)),
% t(quotient(A,quotient(difference(B,A),A)),C)))),
% quotient(A,quotient(difference(B,A),A)))),t(quotient(A,
% quotient(
% difference(B,A),A)),C))
% ->
% quotient(quotient(quotient(quotient(difference(quotient(difference(B,A),A),
% t(quotient(A,quotient(difference(B,A),A)),C)),
% quotient(difference(A,difference(quotient(
% difference(B,A),A),
% t(quotient(A,quotient(
% difference(B,A),A)),C))),
% difference(quotient(difference(B,A),A),t(quotient(A,
% quotient(
% difference(B,A),A)),C)))),
% quotient(difference(B,A),A)),quotient(A,quotient(difference(B,A),A))),
% t(quotient(A,quotient(difference(B,A),A)),C)) collapsed.
% Rule
% [599]
% difference(i(i(A)),quotient(quotient(eta(A),i(quotient(A,quotient(difference(B,A),A)))),
% quotient(difference(quotient(C,i(i(A))),quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))) ->
% quotient(quotient(B,quotient(difference(C,B),B)),i(i(A))) collapsed.
% Rule
% [600]
% quotient(difference(i(difference(A,quotient(B,quotient(difference(C,B),B)))),
% quotient(B,quotient(difference(C,B),B))),difference(A,quotient(B,
% quotient(
% difference(C,B),B))))
% ->
% quotient(difference(A,B),quotient(difference(quotient(C,quotient(difference(A,C),C)),
% difference(A,B)),difference(A,B)))
% collapsed.
% Rule
% [603]
% quotient(quotient(t(eta(A),B),quotient(difference(C,t(eta(A),B)),t(eta(A),B))),
% quotient(difference(t(eta(A),V_3),quotient(t(eta(A),B),quotient(difference(C,
% t(eta(A),B)),
% t(eta(A),B)))),
% quotient(t(eta(A),B),quotient(difference(C,t(eta(A),B)),t(eta(A),B))))) <->
% quotient(difference(i(t(eta(A),B)),quotient(C,quotient(difference(t(eta(A),
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3))),C),C))),
% t(eta(A),B)) collapsed.
% Rule
% [607]
% quotient(quotient(quotient(V_3,quotient(difference(quotient(quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))),V_3),V_3)),C),
% quotient(A,quotient(difference(B,A),A))) <->
% difference(quotient(difference(i(A),quotient(B,quotient(difference(quotient(C,
% quotient(
% difference(A,C),C)),B),B))),A),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% quotient(C,
% quotient(difference(V_3,C),C)),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% collapsed.
% Rule
% [609]
% quotient(difference(A,quotient(difference(i(quotient(A,j(A))),quotient(
% t(quotient(A,
% j(A)),B),
% quotient(
% difference(
% quotient(A,
% j(A)),t(
% quotient(A,
% j(A)),B)),
% t(quotient(A,
% j(A)),B)))),
% quotient(A,j(A)))),t(quotient(A,j(A)),B)) ->
% quotient(quotient(quotient(quotient(difference(j(A),t(quotient(A,j(A)),B)),
% quotient(difference(A,difference(j(A),t(quotient(A,
% j(A)),B))),
% difference(j(A),t(quotient(A,j(A)),B)))),j(A)),
% quotient(A,j(A))),t(quotient(A,j(A)),B)) collapsed.
% Rule
% [610]
% quotient(difference(i(difference(quotient(A,j(A)),j(j(A)))),quotient(
% difference(
% quotient(A,
% j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A))),
% quotient(
% difference(
% difference(
% quotient(A,
% j(A)),j(j(A))),
% difference(
% quotient(A,
% j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(
% quotient(A,
% j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)))))),
% difference(quotient(A,j(A)),j(j(A)))) <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(
% j(A),
% quotient(
% difference(B,
% j(A)),
% j(A))),A),A),A)))
% collapsed.
% Rule
% [611]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),j(j(A))),difference(quotient(A,
% j(A)),
% quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(
% j(A),B),B)),A),A),A)))
% collapsed.
% Rule
% [612]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(
% j(A),B),B)),A),A),A)))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),j(j(A))),difference(quotient(A,
% j(A)),
% quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% collapsed.
% Rule
% [613]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(
% j(A),
% quotient(
% difference(B,
% j(A)),
% j(A))),A),A),A)))
% <->
% quotient(difference(i(difference(quotient(A,j(A)),j(j(A)))),quotient(
% difference(
% quotient(A,
% j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A))),
% quotient(
% difference(
% difference(
% quotient(A,
% j(A)),j(j(A))),
% difference(
% quotient(A,
% j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(
% quotient(A,
% j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)))))),
% difference(quotient(A,j(A)),j(j(A)))) collapsed.
% Rule
% [615]
% quotient(quotient(A,quotient(difference(quotient(eta(B),i(C)),A),A)),eta(B))
% -> quotient(A,quotient(difference(t(eta(B),C),A),A)) collapsed.
% Rule
% [616]
% quotient(difference(i(A),quotient(quotient(eta(A),i(quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(
% j(j(A)),C),C)),B),B)),
% j(j(A))))),quotient(
% difference(A,
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(
% j(j(A)),C),C)),B),B)),
% j(j(A)))),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(
% j(j(A)),C),C)),B),B)),
% j(j(A)))))),A)
% <->
% quotient(quotient(j(j(A)),quotient(difference(B,j(j(A))),j(j(A)))),quotient(
% difference(C,
% quotient(
% j(
% j(A)),
% quotient(
% difference(B,
% j(
% j(A))),
% j(
% j(A))))),
% quotient(
% j(
% j(A)),
% quotient(
% difference(B,
% j(
% j(A))),
% j(
% j(A))))))
% collapsed.
% Rule
% [617]
% quotient(quotient(j(j(A)),quotient(difference(B,j(j(A))),j(j(A)))),quotient(
% difference(C,
% quotient(
% j(
% j(A)),
% quotient(
% difference(B,
% j(
% j(A))),
% j(
% j(A))))),
% quotient(
% j(
% j(A)),
% quotient(
% difference(B,
% j(
% j(A))),
% j(
% j(A))))))
% <->
% quotient(difference(i(A),quotient(quotient(eta(A),i(quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(
% j(j(A)),C),C)),B),B)),
% j(j(A))))),quotient(
% difference(A,
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(
% j(j(A)),C),C)),B),B)),
% j(j(A)))),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(
% j(j(A)),C),C)),B),B)),
% j(j(A)))))),A)
% collapsed.
% Rule
% [618]
% quotient(quotient(quotient(quotient(A,quotient(difference(quotient(B,j(B)),A),A)),B),B),
% quotient(difference(difference(quotient(B,j(B)),quotient(B,quotient(quotient(
% difference(C,B),B),B))),
% quotient(quotient(quotient(A,quotient(difference(quotient(B,j(B)),A),A)),B),B)),
% quotient(quotient(quotient(A,quotient(difference(quotient(B,j(B)),A),A)),B),B)))
% <->
% difference(quotient(B,j(B)),quotient(B,quotient(quotient(difference(quotient(A,
% quotient(
% difference(C,A),A)),B),B),B)))
% collapsed.
% Rule
% [619]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(quotient(quotient(quotient(C,quotient(difference(
% quotient(A,
% j(A)),C),C)),A),A),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(C,B),B)),A),A),A)))
% collapsed.
% Rule
% [620]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(C,B),B)),A),A),A)))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(quotient(quotient(quotient(C,quotient(difference(
% quotient(A,
% j(A)),C),C)),A),A),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% collapsed.
% Rule
% [621]
% difference(quotient(B,j(B)),quotient(B,quotient(quotient(difference(quotient(A,
% quotient(
% difference(C,A),A)),B),B),B)))
% <->
% quotient(quotient(quotient(quotient(A,quotient(difference(quotient(B,j(B)),A),A)),B),B),
% quotient(difference(difference(quotient(B,j(B)),quotient(B,quotient(quotient(
% difference(C,B),B),B))),
% quotient(quotient(quotient(A,quotient(difference(quotient(B,j(B)),A),A)),B),B)),
% quotient(quotient(quotient(A,quotient(difference(quotient(B,j(B)),A),A)),B),B)))
% collapsed.
% Rule
% [624]
% difference(A,quotient(quotient(A,B),quotient(difference(quotient(B,j(B)),
% quotient(A,B)),quotient(A,B))))
% -> quotient(t(B,A),quotient(A,B)) collapsed.
% Rule
% [629]
% difference(i(A),quotient(quotient(eta(A),j(eta(A))),quotient(difference(B,
% quotient(
% eta(A),j(eta(A)))),
% quotient(eta(A),j(eta(A))))))
% -> difference(i(A),quotient(eta(A),i(quotient(eta(A),i(B))))) collapsed.
% Rule
% [631]
% quotient(t(eta(A),quotient(B,quotient(difference(C,B),B))),quotient(difference(V_3,
% t(
% eta(A),
% quotient(B,
% quotient(
% difference(C,B),B)))),
% t(eta(A),quotient(B,
% quotient(
% difference(C,B),B)))))
% <->
% quotient(difference(i(t(eta(A),B)),quotient(t(eta(A),C),quotient(difference(
% quotient(V_3,
% quotient(
% difference(
% t(eta(A),B),V_3),V_3)),
% t(eta(A),C)),
% t(eta(A),C)))),
% t(eta(A),B)) collapsed.
% Rule
% [634]
% difference(B,quotient(quotient(B,quotient(difference(A,B),B)),quotient(A,
% quotient(B,
% quotient(
% difference(A,B),B)))))
% <-> quotient(quotient(A,quotient(difference(quotient(B,j(B)),A),A)),B)
% collapsed.
% Rule
% [635]
% quotient(quotient(A,quotient(difference(quotient(B,j(B)),A),A)),B) <->
% difference(B,quotient(quotient(B,quotient(difference(A,B),B)),quotient(A,
% quotient(B,
% quotient(
% difference(A,B),B)))))
% collapsed.
% Rule
% [636]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,A),A),A))))
% ->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))
% collapsed.
% Rule
% [637]
% difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(C,B),B)),A),A),A))))
% ->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,A),A),A)))
% collapsed.
% Rule
% [641]
% quotient(quotient(difference(i(A),quotient(quotient(difference(i(B),quotient(
% quotient(
% eta(B),
% i(
% i(A))),
% quotient(
% difference(B,
% i(A)),
% i(A)))),B),
% quotient(difference(A,quotient(difference(
% i(B),
% quotient(
% quotient(
% eta(B),
% i(i(A))),
% quotient(
% difference(B,
% i(A)),
% i(A)))),B)),
% quotient(difference(i(B),quotient(quotient(
% eta(B),
% i(
% i(A))),
% quotient(difference(B,
% i(A)),
% i(A)))),B)))),A),
% i(A)) -> difference(i(A),quotient(eta(A),j(B))) collapsed.
% Rule
% [642]
% quotient(C,quotient(difference(quotient(V_3,quotient(difference(quotient(
% eta(A),
% i(B)),V_3),V_3)),C),C))
% <->
% quotient(difference(quotient(eta(A),i(B)),quotient(quotient(quotient(
% eta(A),i(B)),
% quotient(difference(C,B),B)),
% quotient(difference(V_3,quotient(
% quotient(
% eta(A),
% i(B)),
% quotient(
% difference(C,B),B))),
% quotient(quotient(eta(A),i(B)),
% quotient(difference(C,B),B))))),
% quotient(difference(quotient(eta(A),i(B)),difference(quotient(eta(A),i(B)),
% quotient(quotient(quotient(
% eta(A),i(B)),
% quotient(difference(C,B),B)),
% quotient(difference(V_3,quotient(
% quotient(
% eta(A),
% i(B)),
% quotient(
% difference(C,B),B))),
% quotient(quotient(eta(A),i(B)),
% quotient(difference(C,B),B)))))),
% difference(quotient(eta(A),i(B)),quotient(quotient(quotient(eta(A),i(B)),
% quotient(difference(C,B),B)),
% quotient(difference(V_3,quotient(quotient(
% eta(A),
% i(B)),
% quotient(difference(C,B),B))),
% quotient(quotient(eta(A),i(B)),quotient(
% difference(C,B),B)))))))
% collapsed.
% Rule
% [643]
% quotient(difference(quotient(eta(A),i(B)),quotient(quotient(quotient(
% eta(A),i(B)),
% quotient(difference(C,B),B)),
% quotient(difference(V_3,quotient(
% quotient(
% eta(A),
% i(B)),
% quotient(
% difference(C,B),B))),
% quotient(quotient(eta(A),i(B)),
% quotient(difference(C,B),B))))),
% quotient(difference(quotient(eta(A),i(B)),difference(quotient(eta(A),i(B)),
% quotient(quotient(quotient(
% eta(A),i(B)),
% quotient(difference(C,B),B)),
% quotient(difference(V_3,quotient(
% quotient(
% eta(A),
% i(B)),
% quotient(
% difference(C,B),B))),
% quotient(quotient(eta(A),i(B)),
% quotient(difference(C,B),B)))))),
% difference(quotient(eta(A),i(B)),quotient(quotient(quotient(eta(A),i(B)),
% quotient(difference(C,B),B)),
% quotient(difference(V_3,quotient(quotient(
% eta(A),
% i(B)),
% quotient(difference(C,B),B))),
% quotient(quotient(eta(A),i(B)),quotient(
% difference(C,B),B)))))))
% <->
% quotient(C,quotient(difference(quotient(V_3,quotient(difference(quotient(
% eta(A),
% i(B)),V_3),V_3)),C),C))
% collapsed.
% Rule
% [644]
% quotient(quotient(eta(A),j(eta(A))),quotient(difference(B,quotient(eta(A),
% j(eta(A)))),
% quotient(eta(A),j(eta(A))))) <->
% quotient(difference(i(i(A)),quotient(difference(i(A),quotient(quotient(
% quotient(
% eta(A),
% i(B)),quotient(
% difference(
% i(A),
% quotient(
% eta(A),
% i(B))),
% quotient(
% eta(A),
% i(B)))),
% quotient(quotient(
% difference(A,
% quotient(
% quotient(
% eta(A),
% i(B)),quotient(
% quotient(
% eta(A),
% quotient(
% quotient(
% quotient(
% i(B),
% quotient(
% difference(A,
% i(B)),
% i(B))),
% eta(A)),A)),
% quotient(
% eta(A),
% i(B))))),A),
% quotient(quotient(
% eta(A),
% i(B)),quotient(
% difference(
% i(A),
% quotient(
% eta(A),
% i(B))),
% quotient(
% eta(A),
% i(B))))))),A)),
% i(A)) collapsed.
% Rule
% [647]
% quotient(A,quotient(difference(B,A),A)) <->
% quotient(quotient(difference(i(A),quotient(B,quotient(difference(quotient(C,
% quotient(
% difference(A,C),C)),B),B))),A),C)
% collapsed.
% Rule
% [649]
% difference(quotient(eta(A),i(quotient(A,quotient(difference(B,A),A)))),
% quotient(eta(A),i(quotient(A,quotient(difference(C,A),A))))) ->
% quotient(difference(B,quotient(quotient(C,quotient(difference(A,C),C)),
% eta(A))),i(i(A))) collapsed.
% Rule
% [653]
% quotient(difference(i(B),quotient(quotient(eta(B),i(quotient(i(i(B)),
% difference(quotient(A,
% quotient(
% difference(
% i(B),A),A)),B)))),
% i(B))),A) ->
% quotient(difference(i(B),quotient(eta(B),i(quotient(eta(B),i(A))))),A)
% collapsed.
% Rule
% [655]
% quotient(quotient(eta(A),i(B)),quotient(difference(quotient(quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(
% quotient(
% eta(A),i(B)),V_3),V_3)),C),C)),
% quotient(eta(A),i(B))),B),B))
% ->
% quotient(quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B)),
% quotient(difference(V_3,quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B))),
% quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B)))) collapsed.
% Rule
% [656]
% quotient(quotient(quotient(eta(A),i(B)),quotient(difference(quotient(C,
% quotient(
% difference(
% i(quotient(
% eta(A),
% i(B))),C),C)),B),B)),
% i(quotient(eta(A),i(B)))) ->
% difference(i(quotient(eta(A),i(B))),quotient(eta(quotient(eta(A),i(B))),i(C)))
% collapsed.
% Rule
% [658]
% difference(i(quotient(A,quotient(difference(B,A),A))),quotient(eta(quotient(A,
% quotient(
% difference(B,A),A))),
% i(C))) <->
% quotient(quotient(difference(i(A),quotient(difference(i(B),quotient(quotient(
% difference(
% i(C),
% quotient(
% i(
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))))),C),
% quotient(difference(B,
% quotient(
% difference(
% i(C),
% quotient(
% i(
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))))),C)),
% quotient(difference(
% i(C),
% quotient(
% i(
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% i(
% quotient(A,
% quotient(
% difference(B,A),A)))))),C)))),B)),A),
% i(quotient(A,quotient(difference(B,A),A)))) collapsed.
% Rule
% [659]
% quotient(difference(quotient(eta(B),i(C)),quotient(quotient(quotient(
% eta(B),i(C)),
% quotient(difference(
% quotient(
% eta(B),i(C)),C),C)),
% quotient(difference(A,quotient(
% quotient(
% eta(B),
% i(C)),
% quotient(
% difference(
% quotient(
% eta(B),
% i(C)),C),C))),
% quotient(quotient(eta(B),i(C)),
% quotient(difference(quotient(
% eta(B),
% i(C)),C),C))))),A)
% ->
% quotient(t(quotient(eta(B),i(C)),quotient(A,quotient(difference(quotient(
% eta(B),
% i(C)),A),A))),A)
% collapsed.
% Rule
% [661]
% quotient(difference(i(C),quotient(quotient(difference(i(difference(quotient(A,
% quotient(
% difference(C,A),A)),B)),
% quotient(difference(i(A),quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),B),
% quotient(
% difference(A,
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),B)),
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),B)))),A)),
% difference(quotient(A,quotient(difference(C,A),A)),B)),
% quotient(difference(C,quotient(difference(i(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),B)),
% quotient(difference(
% i(A),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),B),
% quotient(
% difference(A,
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),B)),
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),B)))),A)),
% difference(quotient(A,
% quotient(difference(C,A),A)),B))),
% quotient(difference(i(difference(quotient(A,
% quotient(difference(C,A),A)),B)),
% quotient(difference(i(A),quotient(difference(
% quotient(A,
% quotient(
% difference(C,A),A)),B),
% quotient(difference(A,
% difference(
% quotient(A,
% quotient(
% difference(C,A),A)),B)),
% difference(
% quotient(A,
% quotient(difference(C,A),A)),B)))),A)),
% difference(quotient(A,quotient(difference(C,A),A)),B))))),C)
% -> quotient(difference(i(difference(A,B)),B),difference(A,B)) collapsed.
% Rule
% [664]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(quotient(quotient(quotient(quotient(quotient(C,quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),C),C)),A),
% quotient(difference(quotient(A,j(A)),
% quotient(quotient(C,quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),C),C)),A)),
% quotient(quotient(C,quotient(difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),C),C)),A))),A),A),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(V_3,
% quotient(
% difference(
% i(
% quotient(
% difference(C,A),A)),A),
% quotient(
% difference(C,A),A))),
% quotient(A,
% quotient(
% difference(C,A),A))),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% collapsed.
% Rule
% [665]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(
% difference(V_3,
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A))),A),A),A)))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,
% quotient(
% difference(
% i(quotient(
% difference(B,A),A)),A),
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(V_3,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,
% quotient(
% difference(
% i(quotient(
% difference(B,A),A)),A),
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,
% quotient(difference(
% i(quotient(
% difference(B,A),A)),A),
% quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))),A)))))
% collapsed.
% Rule
% [669]
% difference(quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(difference(i(A),quotient(quotient(quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(V_3,quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A))),
% quotient(difference(A,quotient(quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(V_3,
% quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),
% quotient(quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(V_3,quotient(quotient(B,
% quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(quotient(B,quotient(difference(quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))))),A))
% <->
% quotient(quotient(quotient(V_3,quotient(difference(quotient(difference(
% i(A),quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B))),A),V_3),V_3)),
% quotient(quotient(B,quotient(difference(quotient(C,quotient(
% difference(A,C),C)),B),B)),A)),A)
% collapsed.
% Rule
% [670]
% quotient(difference(i(t(A,B)),quotient(difference(i(A),quotient(t(A,B),
% quotient(difference(A,
% t(A,B)),
% t(A,B)))),A)),
% t(A,B)) -> quotient(A,quotient(difference(B,A),A)) collapsed.
% Rule
% [671]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))
% ->
% t(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,A),A),A))))
% collapsed.
% Rule
% [676]
% quotient(t(A,quotient(t(A,B),quotient(difference(A,t(A,B)),t(A,B)))),t(A,B))
% <-> quotient(t(A,quotient(A,quotient(difference(B,A),A))),t(A,B)) collapsed.
% Rule
% [677]
% quotient(t(A,quotient(A,quotient(difference(B,A),A))),t(A,B)) <->
% quotient(t(A,quotient(t(A,B),quotient(difference(A,t(A,B)),t(A,B)))),t(A,B))
% collapsed.
% Rule
% [678]
% quotient(quotient(A,B),quotient(difference(B,quotient(A,B)),quotient(A,B)))
% -> A collapsed.
% Rule
% [680]
% quotient(difference(B,quotient(difference(i(B),quotient(C,quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C))),B)),A)
% ->
% quotient(quotient(quotient(C,quotient(difference(quotient(A,quotient(
% difference(B,A),A)),C),C)),B),A)
% collapsed.
% Rule
% [682]
% quotient(quotient(quotient(eta(A),i(quotient(A,quotient(difference(quotient(B,
% quotient(
% difference(C,B),B)),A),A)))),C),B)
% ->
% quotient(quotient(quotient(eta(A),quotient(quotient(i(quotient(B,quotient(
% difference(C,B),B))),A),
% eta(A))),C),B) collapsed.
% Rule
% [685]
% quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A))
% <->
% quotient(quotient(A,quotient(difference(quotient(quotient(quotient(quotient(
% quotient(
% difference(
% i(B),C),
% quotient(
% difference(V_3,
% difference(
% i(B),C)),
% difference(
% i(B),C))),
% eta(V_3)),V_3),
% i(B)),B),A),A)),eta(V_3))
% collapsed.
% Rule
% [687]
% quotient(quotient(quotient(difference(i(A),quotient(quotient(eta(B),i(
% quotient(B,
% quotient(
% difference(
% i(A),B),B)))),
% quotient(difference(quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(B,quotient(
% difference(
% i(A),B),B))),
% quotient(B,quotient(difference(
% i(A),B),B))))),A),x1),
% i(A)) -> difference(i(A),quotient(eta(A),i(i(i(B))))) collapsed.
% Rule
% [688]
% quotient(quotient(quotient(A,B),quotient(difference(quotient(C,quotient(
% difference(A,C),C)),
% quotient(A,B)),quotient(A,B))),A) ->
% difference(A,quotient(quotient(A,quotient(B,A)),quotient(difference(C,
% quotient(A,quotient(B,A))),
% quotient(A,quotient(B,A)))))
% collapsed.
% Rule
% [693]
% quotient(difference(i(A),quotient(t(A,quotient(B,quotient(difference(A,B),B))),
% quotient(difference(A,t(A,quotient(B,quotient(
% difference(A,B),B)))),
% t(A,quotient(B,quotient(difference(A,B),B)))))),A)
% <->
% quotient(quotient(A,j(A)),quotient(difference(B,quotient(A,j(A))),quotient(A,
% j(A))))
% collapsed.
% Rule
% [694]
% quotient(quotient(A,j(A)),quotient(difference(B,quotient(A,j(A))),quotient(A,
% j(A)))) <->
% quotient(difference(i(A),quotient(t(A,quotient(B,quotient(difference(A,B),B))),
% quotient(difference(A,t(A,quotient(B,quotient(
% difference(A,B),B)))),
% t(A,quotient(B,quotient(difference(A,B),B)))))),A)
% collapsed.
% Rule
% [695]
% t(A,t(A,quotient(B,quotient(difference(A,B),B)))) <->
% quotient(quotient(quotient(A,j(A)),quotient(difference(B,quotient(A,j(A))),
% quotient(A,j(A)))),A) collapsed.
% Rule
% [696]
% quotient(quotient(quotient(A,j(A)),quotient(difference(B,quotient(A,j(A))),
% quotient(A,j(A)))),A) <->
% t(A,t(A,quotient(B,quotient(difference(A,B),B)))) collapsed.
% Rule
% [697]
% difference(quotient(eta(B),j(eta(B))),quotient(difference(i(i(B)),quotient(
% quotient(
% j(j(B)),
% quotient(
% difference(A,
% j(j(B))),
% j(j(B)))),
% quotient(
% difference(
% i(B),
% quotient(
% j(j(B)),
% quotient(
% difference(A,
% j(j(B))),
% j(j(B))))),
% quotient(
% j(j(B)),
% quotient(
% difference(A,
% j(j(B))),
% j(j(B))))))),
% i(B))) ->
% quotient(quotient(quotient(A,quotient(difference(quotient(eta(B),j(eta(B))),A),A)),
% j(j(B))),i(B)) collapsed.
% Rule
% [698]
% quotient(difference(i(difference(A,eta(quotient(A,quotient(difference(B,A),A))))),
% eta(quotient(A,quotient(difference(B,A),A)))),difference(A,eta(
% quotient(A,
% quotient(
% difference(B,A),A)))))
% ->
% quotient(difference(i(B),quotient(quotient(difference(quotient(A,quotient(
% difference(B,A),A)),
% quotient(difference(i(A),quotient(
% j(
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(A,
% j(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% j(
% quotient(A,
% quotient(
% difference(B,A),A)))))),A)),
% j(quotient(A,quotient(difference(B,A),A)))),
% quotient(difference(B,quotient(difference(quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(difference(
% i(A),
% quotient(
% j(quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(A,
% j(quotient(A,
% quotient(
% difference(B,A),A)))),
% j(quotient(A,
% quotient(
% difference(B,A),A)))))),A)),
% j(quotient(A,quotient(
% difference(B,A),A))))),
% quotient(difference(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(i(A),quotient(j(
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(difference(A,
% j(
% quotient(A,
% quotient(
% difference(B,A),A)))),
% j(quotient(A,
% quotient(
% difference(B,A),A)))))),A)),
% j(quotient(A,quotient(difference(B,A),A))))))),B)
% collapsed.
% Rule
% [700]
% difference(quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(difference(i(A),quotient(quotient(quotient(quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% j(quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A))),
% quotient(difference(A,quotient(quotient(quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% j(quotient(quotient(B,
% quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),
% quotient(quotient(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% j(quotient(quotient(B,quotient(difference(quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))))),A))
% ->
% quotient(t(quotient(quotient(B,quotient(difference(quotient(C,quotient(
% difference(A,C),C)),B),B)),A),
% quotient(difference(i(A),quotient(B,quotient(difference(quotient(C,
% quotient(
% difference(A,C),C)),B),B))),A)),A)
% collapsed.
% Rule
% [701]
% difference(B,quotient(quotient(B,quotient(difference(A,B),B)),quotient(
% difference(A,
% quotient(B,
% quotient(
% difference(A,B),B))),
% quotient(B,
% quotient(
% difference(A,B),B)))))
% -> quotient(quotient(A,quotient(quotient(difference(B,A),A),A)),B) collapsed.
% Rule
% [702]
% t(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(C,
% quotient(
% difference(B,C),C)),A),A),A))))
% <->
% difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(
% quotient(B,
% j(B)),
% quotient(
% difference(C,
% quotient(B,
% j(B))),
% quotient(B,
% j(B)))),A),A),A))))
% collapsed.
% Rule
% [703]
% difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(
% quotient(B,
% j(B)),
% quotient(
% difference(C,
% quotient(B,
% j(B))),
% quotient(B,
% j(B)))),A),A),A))))
% <->
% t(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(C,
% quotient(
% difference(B,C),C)),A),A),A))))
% collapsed.
% Rule
% [705]
% difference(quotient(A,B),quotient(difference(i(A),quotient(quotient(C,
% quotient(A,B)),
% quotient(difference(A,
% quotient(C,
% quotient(A,B))),
% quotient(C,quotient(A,B))))),A))
% <-> quotient(quotient(B,quotient(difference(C,B),B)),quotient(A,B))
% collapsed.
% Rule
% [706]
% quotient(quotient(B,quotient(difference(C,B),B)),quotient(A,B)) <->
% difference(quotient(A,B),quotient(difference(i(A),quotient(quotient(C,
% quotient(A,B)),
% quotient(difference(A,
% quotient(C,
% quotient(A,B))),
% quotient(C,quotient(A,B))))),A))
% collapsed.
% Rule
% [707]
% difference(eta(A),quotient(difference(i(A),quotient(quotient(j(A),j(j(A))),
% quotient(difference(A,quotient(
% j(A),
% j(j(A)))),
% quotient(j(A),j(j(A)))))),A)) ->
% quotient(t(j(A),eta(A)),A) collapsed.
% Rule
% [711]
% difference(A,quotient(quotient(A,quotient(difference(B,A),A)),j(quotient(A,
% quotient(
% difference(B,A),A)))))
% <->
% quotient(quotient(difference(i(B),quotient(quotient(quotient(A,quotient(
% difference(B,A),A)),
% quotient(B,quotient(A,quotient(
% difference(B,A),A)))),
% quotient(difference(B,quotient(quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(B,quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(B,quotient(A,quotient(difference(B,A),A))))))),B),A)
% collapsed.
% Rule
% [712]
% quotient(quotient(difference(i(B),quotient(quotient(quotient(A,quotient(
% difference(B,A),A)),
% quotient(B,quotient(A,quotient(
% difference(B,A),A)))),
% quotient(difference(B,quotient(quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(B,quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(B,quotient(A,quotient(difference(B,A),A))))))),B),A)
% <->
% difference(A,quotient(quotient(A,quotient(difference(B,A),A)),j(quotient(A,
% quotient(
% difference(B,A),A)))))
% collapsed.
% Rule
% [714]
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% quotient(C,A),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% -> quotient(difference(i(A),quotient(B,quotient(difference(C,B),B))),A)
% collapsed.
% Rule
% [715]
% quotient(quotient(difference(i(A),quotient(quotient(eta(A),i(quotient(
% quotient(B,
% quotient(
% difference(
% quotient(
% eta(A),j(eta(A))),B),B)),
% j(j(A))))),
% quotient(difference(quotient(x1,quotient(
% difference(A,x1),x1)),
% quotient(quotient(B,quotient(
% difference(
% quotient(
% eta(A),
% j(eta(A))),B),B)),
% j(j(A)))),quotient(quotient(B,
% quotient(
% difference(
% quotient(
% eta(A),
% j(eta(A))),B),B)),
% j(j(A)))))),A),x1) ->
% quotient(quotient(difference(i(A),quotient(quotient(quotient(quotient(
% eta(A),i(B)),
% quotient(difference(
% eta(A),B),B)),A),
% quotient(difference(quotient(x1,quotient(
% difference(A,x1),x1)),
% quotient(quotient(quotient(
% eta(A),i(B)),
% quotient(difference(
% eta(A),B),B)),A)),
% quotient(quotient(quotient(eta(A),i(B)),
% quotient(difference(eta(A),B),B)),A)))),A),x1)
% collapsed.
% Rule
% [716]
% quotient(difference(C,difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))
% <->
% difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% quotient(difference(C,difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(V_3,B),B)),A),A),A))))
% collapsed.
% Rule
% [717]
% difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% quotient(difference(C,difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(V_3,B),B)),A),A),A))))
% <->
% quotient(difference(C,difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))
% collapsed.
% Rule
% [720]
% quotient(eta(B),i(quotient(quotient(difference(i(B),quotient(difference(
% i(i(B)),A),
% quotient(difference(
% quotient(x1,
% quotient(
% difference(B,x1),x1)),
% difference(
% i(i(B)),A)),
% difference(i(i(B)),A)))),B),x1)))
% -> A collapsed.
% Rule
% [722]
% quotient(difference(i(A),quotient(B,quotient(difference(quotient(C,quotient(
% difference(A,C),C)),B),B))),A)
% <->
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(C,
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% collapsed.
% Rule
% [723]
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(C,
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% <->
% quotient(difference(i(A),quotient(B,quotient(difference(quotient(C,quotient(
% difference(A,C),C)),B),B))),A)
% collapsed.
% Rule
% [725]
% t(A,quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A))
% <->
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A)))),A)
% collapsed.
% Rule
% [726]
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A)))),A)
% <->
% t(A,quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A))
% collapsed.
% Rule
% [727]
% quotient(quotient(quotient(A,j(A)),quotient(difference(B,quotient(A,j(A))),
% quotient(A,j(A)))),t(A,quotient(B,
% quotient(difference(A,B),B))))
% -> A collapsed.
% Rule
% [728]
% difference(quotient(eta(A),i(quotient(A,quotient(difference(B,A),A)))),
% quotient(quotient(quotient(eta(A),i(B)),j(B)),difference(quotient(A,quotient(
% difference(
% quotient(B,
% j(B)),A),A)),
% quotient(B,j(B))))) ->
% quotient(t(B,quotient(eta(A),quotient(quotient(i(B),A),eta(A)))),i(i(A)))
% collapsed.
% Rule
% [730]
% quotient(i(i(B)),difference(quotient(difference(i(C),quotient(difference(
% quotient(
% eta(B),
% i(C)),A),
% quotient(difference(C,
% difference(
% quotient(
% eta(B),
% i(C)),A)),
% difference(quotient(
% eta(B),
% i(C)),A)))),C),B))
% -> A collapsed.
% Rule
% [732]
% quotient(difference(i(A),quotient(B,quotient(difference(quotient(A,quotient(
% difference(C,A),A)),B),B))),A)
% <->
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% t(A,C),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% collapsed.
% Rule
% [733]
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% t(A,C),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% <->
% quotient(difference(i(A),quotient(B,quotient(difference(quotient(A,quotient(
% difference(C,A),A)),B),B))),A)
% collapsed.
% Rule
% [735]
% difference(B,quotient(quotient(B,quotient(difference(A,B),B)),quotient(
% difference(
% eta(B),A),
% quotient(B,
% quotient(
% difference(A,B),B)))))
% <->
% quotient(quotient(A,quotient(difference(i(quotient(j(B),j(j(B)))),A),A)),B)
% collapsed.
% Rule
% [737]
% difference(A,quotient(difference(i(B),quotient(quotient(difference(B,A),
% j(difference(B,A))),quotient(
% difference(B,
% quotient(
% difference(B,A),
% j(
% difference(B,A)))),
% quotient(
% difference(B,A),
% j(
% difference(B,A)))))),B))
% -> quotient(t(difference(B,A),A),B) collapsed.
% Rule
% [738]
% quotient(t(eta(A),B),quotient(difference(quotient(eta(A),i(C)),t(eta(A),B)),
% t(eta(A),B))) ->
% quotient(eta(A),i(quotient(B,quotient(difference(C,B),B)))) collapsed.
% Rule
% [741]
% difference(quotient(quotient(A,B),j(quotient(A,B))),quotient(quotient(A,B),
% quotient(quotient(
% difference(
% quotient(C,
% quotient(
% difference(B,C),C)),
% quotient(A,B)),
% quotient(A,B)),
% quotient(A,B)))) <->
% quotient(difference(quotient(quotient(A,B),j(quotient(A,B))),quotient(
% quotient(A,B),
% quotient(
% quotient(
% difference(C,
% quotient(A,B)),
% quotient(A,B)),
% quotient(A,B)))),
% quotient(difference(difference(quotient(quotient(A,B),j(quotient(A,B))),
% quotient(quotient(A,B),quotient(quotient(A,quotient(B,
% quotient(
% difference(A,B),B))),
% quotient(A,B)))),difference(
% quotient(
% quotient(A,B),
% j(quotient(A,B))),
% quotient(
% quotient(A,B),
% quotient(
% quotient(
% difference(C,
% quotient(A,B)),
% quotient(A,B)),
% quotient(A,B))))),
% difference(quotient(quotient(A,B),j(quotient(A,B))),quotient(quotient(A,B),
% quotient(quotient(
% difference(C,
% quotient(A,B)),
% quotient(A,B)),
% quotient(A,B))))))
% collapsed.
% Rule
% [742]
% quotient(quotient(t(quotient(A,B),B),quotient(difference(quotient(C,quotient(
% difference(A,C),C)),
% t(quotient(A,B),B)),t(quotient(A,B),B))),A)
% ->
% difference(A,quotient(quotient(A,quotient(quotient(A,B),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% quotient(A,B),A))),
% quotient(A,
% quotient(
% quotient(A,B),A)))))
% collapsed.
% Rule
% [747]
% quotient(difference(i(B),quotient(quotient(i(i(B)),difference(difference(
% j(j(B)),A),B)),
% quotient(difference(B,quotient(i(i(B)),difference(
% difference(
% j(j(B)),A),B))),
% quotient(i(i(B)),difference(difference(j(j(B)),A),B))))),B)
% -> A collapsed.
% Rule
% [748]
% difference(difference(quotient(B,j(B)),quotient(B,quotient(quotient(difference(V_3,B),B),B))),
% quotient(quotient(difference(quotient(B,j(B)),quotient(B,quotient(quotient(
% difference(V_3,B),B),B))),
% quotient(difference(A,difference(quotient(B,j(B)),quotient(B,
% quotient(quotient(
% difference(V_3,B),B),B)))),
% difference(quotient(B,j(B)),quotient(B,quotient(quotient(difference(V_3,B),B),B))))),
% quotient(difference(difference(quotient(B,j(B)),quotient(B,quotient(quotient(
% difference(C,B),B),B))),
% quotient(difference(quotient(B,j(B)),quotient(B,quotient(quotient(
% difference(V_3,B),B),B))),
% quotient(difference(A,difference(quotient(B,j(B)),quotient(B,
% quotient(quotient(
% difference(V_3,B),B),B)))),
% difference(quotient(B,j(B)),quotient(B,quotient(quotient(difference(V_3,B),B),B)))))),
% quotient(difference(quotient(B,j(B)),quotient(B,quotient(quotient(difference(V_3,B),B),B))),
% quotient(difference(A,difference(quotient(B,j(B)),quotient(B,quotient(
% quotient(
% difference(V_3,B),B),B)))),
% difference(quotient(B,j(B)),quotient(B,quotient(quotient(difference(V_3,B),B),B))))))))
% <->
% quotient(quotient(A,quotient(difference(difference(quotient(B,j(B)),quotient(B,
% quotient(
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),B),B),B))),A),A)),
% difference(quotient(B,j(B)),quotient(B,quotient(quotient(difference(V_3,B),B),B))))
% collapsed.
% Rule
% [749]
% quotient(quotient(A,quotient(difference(difference(quotient(B,j(B)),quotient(B,
% quotient(
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),B),B),B))),A),A)),
% difference(quotient(B,j(B)),quotient(B,quotient(quotient(difference(V_3,B),B),B))))
% <->
% difference(difference(quotient(B,j(B)),quotient(B,quotient(quotient(difference(V_3,B),B),B))),
% quotient(quotient(difference(quotient(B,j(B)),quotient(B,quotient(quotient(
% difference(V_3,B),B),B))),
% quotient(difference(A,difference(quotient(B,j(B)),quotient(B,
% quotient(quotient(
% difference(V_3,B),B),B)))),
% difference(quotient(B,j(B)),quotient(B,quotient(quotient(difference(V_3,B),B),B))))),
% quotient(difference(difference(quotient(B,j(B)),quotient(B,quotient(quotient(
% difference(C,B),B),B))),
% quotient(difference(quotient(B,j(B)),quotient(B,quotient(quotient(
% difference(V_3,B),B),B))),
% quotient(difference(A,difference(quotient(B,j(B)),quotient(B,
% quotient(quotient(
% difference(V_3,B),B),B)))),
% difference(quotient(B,j(B)),quotient(B,quotient(quotient(difference(V_3,B),B),B)))))),
% quotient(difference(quotient(B,j(B)),quotient(B,quotient(quotient(difference(V_3,B),B),B))),
% quotient(difference(A,difference(quotient(B,j(B)),quotient(B,quotient(
% quotient(
% difference(V_3,B),B),B)))),
% difference(quotient(B,j(B)),quotient(B,quotient(quotient(difference(V_3,B),B),B))))))))
% collapsed.
% Rule
% [750]
% quotient(quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))),
% quotient(difference(quotient(V_3,quotient(difference(difference(
% quotient(A,
% j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A))),V_3),V_3)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,A),A),A))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))
% <->
% difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A))),
% quotient(difference(V_3,difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(C,B),B)),A),A),A))))))
% collapsed.
% Rule
% [751]
% difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A))),
% quotient(difference(V_3,difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(C,B),B)),A),A),A))))))
% <->
% quotient(quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))),
% quotient(difference(quotient(V_3,quotient(difference(difference(
% quotient(A,
% j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A))),V_3),V_3)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,A),A),A))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))
% collapsed.
% Rule
% [752]
% difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(V_3,difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))))
% ->
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))),
% quotient(V_3,quotient(difference(difference(quotient(A,j(A)),
% quotient(A,quotient(quotient(
% difference(B,A),A),A))),V_3),V_3))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))
% collapsed.
% Rule
% [753]
% quotient(quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% quotient(difference(C,difference(quotient(A,j(A)),quotient(A,
% quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(V_3,A),A),A))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% quotient(difference(C,difference(quotient(A,j(A)),quotient(A,
% quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(C,difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))))
% <->
% quotient(difference(i(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% quotient(C,quotient(difference(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),A),A),A))),C),C))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))
% collapsed.
% Rule
% [754]
% quotient(difference(i(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% quotient(C,quotient(difference(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(B,V_3),V_3)),A),A),A))),C),C))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))
% <->
% quotient(quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% quotient(difference(C,difference(quotient(A,j(A)),quotient(A,
% quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(V_3,A),A),A))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% quotient(difference(C,difference(quotient(A,j(A)),quotient(A,
% quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(C,difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))))
% collapsed.
% Rule
% [755]
% difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(
% quotient(C,
% j(C)),B),B)),A),A),A))))
% ->
% quotient(t(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))
% collapsed.
% Rule
% [756]
% difference(quotient(A,quotient(quotient(A,B),A)),quotient(difference(
% i(A),quotient(
% quotient(
% t(quotient(A,B),B),
% quotient(
% difference(C,
% t(quotient(A,B),B)),
% t(quotient(A,B),B))),
% quotient(
% difference(A,
% quotient(
% t(quotient(A,B),B),
% quotient(
% difference(C,
% t(quotient(A,B),B)),
% t(quotient(A,B),B)))),
% quotient(
% t(quotient(A,B),B),
% quotient(
% difference(C,
% t(quotient(A,B),B)),
% t(quotient(A,B),B)))))),A))
% ->
% quotient(quotient(quotient(C,quotient(difference(quotient(A,quotient(
% quotient(A,B),A)),C),C)),
% t(quotient(A,B),B)),A) collapsed.
% Rule
% [757]
% difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(quotient(
% difference(
% quotient(C,
% quotient(
% difference(
% t(
% eta(A),V_3),C),C)),
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(eta(A),B)))) <->
% quotient(difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(
% quotient(
% difference(C,
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(
% eta(A),B)))),
% quotient(difference(t(eta(A),difference(quotient(B,j(B)),quotient(B,quotient(
% quotient(
% difference(V_3,B),B),B)))),
% difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(
% quotient(
% difference(C,
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(
% eta(A),B))))),
% difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(quotient(
% difference(C,
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(eta(A),B))))))
% collapsed.
% Rule
% [758]
% difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(quotient(
% difference(
% quotient(
% t(
% eta(A),C),
% quotient(
% difference(V_3,
% t(
% eta(A),C)),
% t(
% eta(A),C))),
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(eta(A),B)))) <->
% quotient(t(eta(A),difference(quotient(B,j(B)),quotient(B,quotient(quotient(
% difference(C,B),B),B)))),
% quotient(difference(difference(t(eta(A),quotient(B,j(B))),quotient(t(
% eta(A),B),
% quotient(quotient(
% difference(V_3,
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(eta(A),B)))),
% t(eta(A),difference(quotient(B,j(B)),quotient(B,quotient(quotient(
% difference(C,B),B),B))))),
% t(eta(A),difference(quotient(B,j(B)),quotient(B,quotient(quotient(difference(C,B),B),B))))))
% collapsed.
% Rule
% [759]
% quotient(difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(
% quotient(
% difference(C,
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(
% eta(A),B)))),
% quotient(difference(t(eta(A),difference(quotient(B,j(B)),quotient(B,quotient(
% quotient(
% difference(V_3,B),B),B)))),
% difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(
% quotient(
% difference(C,
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(
% eta(A),B))))),
% difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(quotient(
% difference(C,
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(eta(A),B))))))
% <->
% difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(quotient(
% difference(
% quotient(C,
% quotient(
% difference(
% t(
% eta(A),V_3),C),C)),
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(eta(A),B))))
% collapsed.
% Rule
% [760]
% quotient(t(eta(A),difference(quotient(B,j(B)),quotient(B,quotient(quotient(
% difference(C,B),B),B)))),
% quotient(difference(difference(t(eta(A),quotient(B,j(B))),quotient(t(
% eta(A),B),
% quotient(quotient(
% difference(V_3,
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(eta(A),B)))),
% t(eta(A),difference(quotient(B,j(B)),quotient(B,quotient(quotient(
% difference(C,B),B),B))))),
% t(eta(A),difference(quotient(B,j(B)),quotient(B,quotient(quotient(difference(C,B),B),B))))))
% <->
% difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(quotient(
% difference(
% quotient(
% t(
% eta(A),C),
% quotient(
% difference(V_3,
% t(
% eta(A),C)),
% t(
% eta(A),C))),
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(eta(A),B))))
% collapsed.
% Rule
% [762]
% quotient(difference(quotient(quotient(A,quotient(difference(B,A),A)),
% j(quotient(A,quotient(difference(B,A),A)))),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(difference(difference(quotient(quotient(A,quotient(difference(B,A),A)),
% j(quotient(A,quotient(difference(B,A),A)))),
% quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(quotient(quotient(difference(eta(A),quotient(A,
% quotient(
% difference(B,A),A))),B),A),
% quotient(A,quotient(difference(B,A),A))))),difference(
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% j(quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))))),
% difference(quotient(quotient(A,quotient(difference(B,A),A)),j(quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))))
% <->
% difference(quotient(quotient(A,quotient(difference(B,A),A)),j(quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(A,C),C)),
% eta(A)),A),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% collapsed.
% Rule
% [766]
% quotient(difference(i(A),quotient(eta(B),i(quotient(B,quotient(difference(A,B),B))))),A)
% <-> quotient(quotient(A,quotient(difference(B,A),A)),eta(B)) collapsed.
% Rule
% [767]
% difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(quotient(
% difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(eta(A),B)))) <->
% quotient(difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(
% quotient(
% difference(C,
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(
% eta(A),B)))),
% quotient(difference(difference(t(eta(A),quotient(B,j(B))),quotient(t(
% eta(A),B),
% quotient(quotient(
% difference(V_3,
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(eta(A),B)))),
% difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(
% quotient(
% difference(C,
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(
% eta(A),B))))),
% difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(quotient(
% difference(C,
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(eta(A),B))))))
% collapsed.
% Rule
% [768]
% quotient(difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(
% quotient(
% difference(C,
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(
% eta(A),B)))),
% quotient(difference(difference(t(eta(A),quotient(B,j(B))),quotient(t(
% eta(A),B),
% quotient(quotient(
% difference(V_3,
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(eta(A),B)))),
% difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(
% quotient(
% difference(C,
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(
% eta(A),B))))),
% difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(quotient(
% difference(C,
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(eta(A),B))))))
% <->
% difference(t(eta(A),quotient(B,j(B))),quotient(t(eta(A),B),quotient(quotient(
% difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% t(
% eta(A),B)),
% t(
% eta(A),B)),
% t(eta(A),B))))
% collapsed.
% Rule
% [769]
% quotient(difference(i(A),quotient(eta(A),i(B))),quotient(difference(i(A),
% difference(i(A),
% quotient(eta(A),
% i(B)))),difference(
% i(A),
% quotient(
% eta(A),
% i(B))))) ->
% quotient(difference(i(A),quotient(quotient(B,quotient(difference(i(A),B),B)),
% quotient(quotient(difference(A,quotient(quotient(
% quotient(B,
% quotient(
% difference(A,B),B)),
% eta(A)),A)),A),
% quotient(B,quotient(difference(i(A),B),B))))),A)
% collapsed.
% Rule
% [770]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A))),
% quotient(difference(V_3,difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(C,B),B)),A),A),A)))))
% <->
% quotient(difference(i(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))),
% quotient(difference(quotient(V_3,quotient(difference(difference(
% quotient(A,
% j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A))),V_3),V_3)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,A),A),A)))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))
% collapsed.
% Rule
% [771]
% quotient(difference(i(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))),
% quotient(difference(quotient(V_3,quotient(difference(difference(
% quotient(A,
% j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A))),V_3),V_3)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,A),A),A)))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A))),
% quotient(difference(V_3,difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(C,B),B)),A),A),A)))))
% collapsed.
% Rule
% [772]
% quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A))
% <->
% quotient(quotient(A,quotient(difference(quotient(difference(i(B),quotient(
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(B,C),C)),
% eta(B)),B),
% quotient(
% difference(B,
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(B,C),C)),
% eta(B)),B)),
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(B,C),C)),
% eta(B)),B)))),B),A),A)),
% eta(B)) collapsed.
% Rule
% [774]
% difference(eta(B),quotient(difference(i(B),quotient(quotient(j(B),quotient(
% difference(A,
% j(B)),
% j(B))),
% quotient(difference(B,quotient(
% j(B),
% quotient(
% difference(A,
% j(B)),
% j(B)))),
% quotient(j(B),quotient(difference(A,
% j(B)),
% j(B)))))),B)) ->
% quotient(quotient(quotient(quotient(quotient(A,quotient(difference(B,A),A)),
% eta(B)),B),j(B)),B) collapsed.
% Rule
% [776]
% quotient(quotient(eta(A),i(quotient(A,quotient(difference(B,A),A)))),
% quotient(difference(C,quotient(A,quotient(difference(B,A),A))),quotient(A,
% quotient(
% difference(B,A),A))))
% <->
% quotient(eta(A),i(quotient(quotient(difference(i(A),quotient(quotient(
% quotient(B,
% quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(A,C),C)),
% eta(A)),B),B)),
% i(i(A))),
% quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(A,C),C)),
% eta(A)),B),B)),
% i(i(A)))),
% quotient(quotient(B,
% quotient(
% difference(
% quotient(
% quotient(C,
% quotient(
% difference(A,C),C)),
% eta(A)),B),B)),
% i(i(A)))))),A),C)))
% collapsed.
% Rule
% [778]
% difference(quotient(quotient(A,quotient(difference(B,A),A)),quotient(B,
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(quotient(A,quotient(difference(B,A),A)),j(quotient(A,quotient(
% difference(B,A),A)))))
% ->
% quotient(quotient(quotient(difference(i(B),quotient(quotient(quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(B,quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(difference(B,quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(B,
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(quotient(A,quotient(
% difference(B,A),A)),
% quotient(B,quotient(A,quotient(
% difference(B,A),A))))))),B),A),
% quotient(A,quotient(difference(B,A),A))) collapsed.
% Rule
% [779]
% difference(t(difference(A,quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(C,quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))),A),
% quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)))
% ->
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A)
% collapsed.
% Rule
% [781]
% difference(quotient(eta(A),quotient(quotient(i(i(i(A))),A),eta(A))),quotient(
% eta(A),
% i(
% quotient(
% j(
% j(A)),
% quotient(
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% i(
% i(A))),A),
% j(
% j(A)))))))
% <->
% quotient(difference(quotient(eta(A),quotient(quotient(i(i(i(A))),A),eta(A))),
% quotient(eta(A),i(quotient(j(j(A)),quotient(quotient(difference(B,
% i(i(A))),A),
% j(j(A))))))),quotient(difference(
% difference(
% quotient(
% eta(A),
% quotient(
% quotient(
% i(i(i(A))),A),
% eta(A))),
% quotient(
% eta(A),
% i(quotient(
% j(
% j(A)),
% quotient(
% quotient(
% difference(C,
% i(
% i(A))),A),
% j(
% j(A))))))),
% difference(
% quotient(
% eta(A),
% quotient(
% quotient(
% i(i(i(A))),A),
% eta(A))),
% quotient(
% eta(A),
% i(quotient(
% j(
% j(A)),
% quotient(
% quotient(
% difference(B,
% i(
% i(A))),A),
% j(
% j(A)))))))),
% difference(quotient(
% eta(A),
% quotient(
% quotient(
% i(
% i(i(A))),A),
% eta(A))),
% quotient(eta(A),
% i(quotient(j(j(A)),
% quotient(quotient(
% difference(B,
% i(
% i(A))),A),
% j(j(A)))))))))
% collapsed.
% Rule
% [782]
% quotient(difference(quotient(eta(A),quotient(quotient(i(i(i(A))),A),eta(A))),
% quotient(eta(A),i(quotient(j(j(A)),quotient(quotient(difference(B,
% i(i(A))),A),
% j(j(A))))))),quotient(difference(
% difference(
% quotient(
% eta(A),
% quotient(
% quotient(
% i(i(i(A))),A),
% eta(A))),
% quotient(
% eta(A),
% i(quotient(
% j(
% j(A)),
% quotient(
% quotient(
% difference(C,
% i(
% i(A))),A),
% j(
% j(A))))))),
% difference(
% quotient(
% eta(A),
% quotient(
% quotient(
% i(i(i(A))),A),
% eta(A))),
% quotient(
% eta(A),
% i(quotient(
% j(
% j(A)),
% quotient(
% quotient(
% difference(B,
% i(
% i(A))),A),
% j(
% j(A)))))))),
% difference(quotient(
% eta(A),
% quotient(
% quotient(
% i(
% i(i(A))),A),
% eta(A))),
% quotient(eta(A),
% i(quotient(j(j(A)),
% quotient(quotient(
% difference(B,
% i(
% i(A))),A),
% j(j(A))))))))) <->
% difference(quotient(eta(A),quotient(quotient(i(i(i(A))),A),eta(A))),quotient(
% eta(A),
% i(
% quotient(
% j(
% j(A)),
% quotient(
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% i(
% i(A))),A),
% j(
% j(A)))))))
% collapsed.
% Rule
% [783]
% difference(B,quotient(quotient(difference(i(B),quotient(quotient(A,quotient(
% difference(B,A),A)),
% quotient(difference(B,
% quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))),B),
% quotient(difference(A,quotient(difference(i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B)),
% quotient(difference(i(B),quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(B,quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))),B))))
% ->
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),j(quotient(A,
% quotient(
% difference(B,A),A)))),B)
% collapsed.
% Rule
% [784]
% quotient(difference(quotient(eta(A),i(quotient(difference(i(B),quotient(
% quotient(
% eta(A),
% i(B)),
% j(B))),B))),
% quotient(eta(A),i(quotient(difference(i(B),quotient(quotient(
% eta(A),i(
% quotient(B,
% quotient(
% difference(C,B),B)))),
% quotient(C,quotient(B,
% quotient(
% difference(C,B),B))))),B)))),
% quotient(difference(difference(quotient(eta(A),i(quotient(difference(
% i(B),quotient(
% quotient(
% eta(A),
% i(B)),
% j(B))),B))),
% quotient(eta(A),i(quotient(difference(i(B),quotient(
% quotient(
% eta(A),
% i(quotient(B,
% quotient(
% difference(V_3,B),B)))),
% quotient(V_3,
% quotient(B,
% quotient(
% difference(V_3,B),B))))),B)))),
% difference(quotient(eta(A),i(quotient(difference(i(B),quotient(
% quotient(
% eta(A),
% i(B)),
% j(B))),B))),
% quotient(eta(A),i(quotient(difference(i(B),quotient(quotient(
% eta(A),i(
% quotient(B,
% quotient(
% difference(C,B),B)))),
% quotient(C,quotient(B,
% quotient(
% difference(C,B),B))))),B))))),
% difference(quotient(eta(A),i(quotient(difference(i(B),quotient(quotient(
% eta(A),
% i(B)),
% j(B))),B))),quotient(
% eta(A),
% i(quotient(
% difference(
% i(B),
% quotient(
% quotient(
% eta(A),
% i(
% quotient(B,
% quotient(
% difference(C,B),B)))),
% quotient(C,
% quotient(B,
% quotient(
% difference(C,B),B))))),B))))))
% <->
% difference(quotient(eta(A),i(quotient(difference(i(B),quotient(quotient(
% eta(A),
% i(B)),
% j(B))),B))),quotient(
% eta(A),
% i(quotient(
% difference(
% i(B),
% quotient(
% quotient(
% eta(A),
% i(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),B),B)))),
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),B),B))))),B))))
% collapsed.
% Rule
% [785]
% difference(quotient(eta(A),i(quotient(difference(i(B),quotient(quotient(
% eta(A),
% i(B)),
% j(B))),B))),quotient(
% eta(A),
% i(quotient(
% difference(
% i(B),
% quotient(
% quotient(
% eta(A),
% i(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),B),B)))),
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),B),B))))),B))))
% <->
% quotient(difference(quotient(eta(A),i(quotient(difference(i(B),quotient(
% quotient(
% eta(A),
% i(B)),
% j(B))),B))),
% quotient(eta(A),i(quotient(difference(i(B),quotient(quotient(
% eta(A),i(
% quotient(B,
% quotient(
% difference(C,B),B)))),
% quotient(C,quotient(B,
% quotient(
% difference(C,B),B))))),B)))),
% quotient(difference(difference(quotient(eta(A),i(quotient(difference(
% i(B),quotient(
% quotient(
% eta(A),
% i(B)),
% j(B))),B))),
% quotient(eta(A),i(quotient(difference(i(B),quotient(
% quotient(
% eta(A),
% i(quotient(B,
% quotient(
% difference(V_3,B),B)))),
% quotient(V_3,
% quotient(B,
% quotient(
% difference(V_3,B),B))))),B)))),
% difference(quotient(eta(A),i(quotient(difference(i(B),quotient(
% quotient(
% eta(A),
% i(B)),
% j(B))),B))),
% quotient(eta(A),i(quotient(difference(i(B),quotient(quotient(
% eta(A),i(
% quotient(B,
% quotient(
% difference(C,B),B)))),
% quotient(C,quotient(B,
% quotient(
% difference(C,B),B))))),B))))),
% difference(quotient(eta(A),i(quotient(difference(i(B),quotient(quotient(
% eta(A),
% i(B)),
% j(B))),B))),quotient(
% eta(A),
% i(quotient(
% difference(
% i(B),
% quotient(
% quotient(
% eta(A),
% i(
% quotient(B,
% quotient(
% difference(C,B),B)))),
% quotient(C,
% quotient(B,
% quotient(
% difference(C,B),B))))),B))))))
% collapsed.
% Rule
% [786]
% quotient(quotient(A,quotient(difference(quotient(B,quotient(C,B)),A),A)),
% quotient(B,C)) <->
% difference(quotient(B,C),quotient(quotient(quotient(B,C),quotient(difference(A,
% quotient(B,C)),
% quotient(B,C))),
% quotient(difference(B,quotient(quotient(B,C),
% quotient(difference(A,
% quotient(B,C)),
% quotient(B,C)))),quotient(
% quotient(B,C),
% quotient(
% difference(A,
% quotient(B,C)),
% quotient(B,C))))))
% collapsed.
% Rule
% [787]
% difference(quotient(B,C),quotient(quotient(quotient(B,C),quotient(difference(A,
% quotient(B,C)),
% quotient(B,C))),
% quotient(difference(B,quotient(quotient(B,C),
% quotient(difference(A,
% quotient(B,C)),
% quotient(B,C)))),quotient(
% quotient(B,C),
% quotient(
% difference(A,
% quotient(B,C)),
% quotient(B,C))))))
% <->
% quotient(quotient(A,quotient(difference(quotient(B,quotient(C,B)),A),A)),
% quotient(B,C)) collapsed.
% Rule
% [788]
% difference(quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(difference(i(A),quotient(B,quotient(difference(quotient(V_3,
% quotient(difference(A,V_3),V_3)),B),B))),A))
% ->
% quotient(difference(C,quotient(V_3,quotient(difference(quotient(A,quotient(
% difference(B,A),A)),V_3),V_3))),
% quotient(A,quotient(difference(B,A),A))) collapsed.
% Rule
% [789]
% difference(B,quotient(difference(i(C),quotient(quotient(difference(C,B),
% quotient(difference(A,
% difference(C,B)),
% difference(C,B))),quotient(
% difference(C,
% quotient(
% difference(C,B),
% quotient(
% difference(A,
% difference(C,B)),
% difference(C,B)))),
% quotient(
% difference(C,B),
% quotient(
% difference(A,
% difference(C,B)),
% difference(C,B)))))),C))
% ->
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),difference(C,B)),C)
% collapsed.
% Rule
% [792]
% quotient(difference(quotient(A,B),quotient(A,quotient(difference(C,A),A))),
% quotient(difference(quotient(A,B),difference(quotient(A,B),quotient(A,
% quotient(difference(C,A),A)))),
% difference(quotient(A,B),quotient(A,quotient(difference(C,A),A))))) ->
% quotient(difference(i(B),quotient(quotient(C,quotient(difference(quotient(A,B),C),C)),
% quotient(quotient(quotient(difference(B,C),quotient(
% difference(A,
% difference(B,C)),
% difference(B,C))),B),
% quotient(C,quotient(difference(quotient(A,B),C),C))))),B)
% collapsed.
% Rule
% [795]
% quotient(quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A)),
% t(difference(C,quotient(quotient(C,quotient(difference(A,C),C)),quotient(
% difference(B,
% quotient(C,
% quotient(
% difference(A,C),C))),
% quotient(C,
% quotient(
% difference(A,C),C))))),C))
% ->
% t(t(quotient(quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A)),C),C),
% quotient(quotient(A,quotient(difference(quotient(B,quotient(difference(C,B),B)),A),A)),C))
% collapsed.
% Rule
% [796]
% quotient(difference(t(B,C),quotient(difference(i(B),quotient(C,quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),C),C))),B)),A)
% ->
% quotient(difference(t(B,C),quotient(quotient(t(B,C),quotient(difference(B,
% t(B,C)),
% t(B,C))),quotient(
% difference(A,
% quotient(
% t(B,C),quotient(
% difference(B,
% t(B,C)),
% t(B,C)))),
% quotient(
% t(B,C),quotient(
% difference(B,
% t(B,C)),
% t(B,C)))))),A)
% collapsed.
% Rule
% [797]
% difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))
% ->
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))
% collapsed.
% Rule
% [798]
% difference(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% i(A),quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B))),A))
% -> C collapsed.
% Rule
% [800]
% quotient(difference(quotient(quotient(difference(i(A),quotient(quotient(
% quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))))),
% quotient(difference(difference(quotient(quotient(difference(i(A),quotient(
% quotient(
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(quotient(difference(V_3,quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))),difference(
% quotient(
% quotient(
% difference(
% i(A),quotient(
% quotient(
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))))),
% difference(quotient(quotient(difference(i(A),quotient(quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))))
% <->
% difference(quotient(quotient(difference(i(A),quotient(quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% collapsed.
% Rule
% [801]
% difference(quotient(quotient(difference(i(A),quotient(quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% <->
% quotient(difference(quotient(quotient(difference(i(A),quotient(quotient(
% quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))))),
% quotient(difference(difference(quotient(quotient(difference(i(A),quotient(
% quotient(
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(quotient(difference(V_3,quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))),difference(
% quotient(
% quotient(
% difference(
% i(A),quotient(
% quotient(
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))))),
% difference(quotient(quotient(difference(i(A),quotient(quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))))
% collapsed.
% Rule
% [803]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A))))) <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(C,
% quotient(
% difference(
% i(B),A),B)),
% quotient(A,B)),A),A)))
% collapsed.
% Rule
% [805]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(A,B),B)),A),A),A)))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,i(quotient(A,j(A))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% collapsed.
% Rule
% [806]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(C,A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(
% quotient(A,C),B),B)),A),A),A)))
% collapsed.
% Rule
% [807]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(
% quotient(A,C),B),B)),A),A),A)))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(C,A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% collapsed.
% Rule
% [808]
% quotient(difference(quotient(quotient(difference(i(A),quotient(quotient(
% quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))))),
% quotient(difference(difference(quotient(quotient(difference(i(A),quotient(
% quotient(
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(quotient(quotient(difference(
% i(A),quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),B),B)),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(A,V_3),V_3)),B),B)),A)))),A),x1),
% quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))),difference(
% quotient(
% quotient(
% difference(
% i(A),quotient(
% quotient(
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))))),
% difference(quotient(quotient(difference(i(A),quotient(quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))))
% <->
% difference(quotient(quotient(difference(i(A),quotient(quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% collapsed.
% Rule
% [809]
% difference(quotient(quotient(difference(i(A),quotient(quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
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% quotient(B,
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% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
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% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
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% quotient(
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% quotient(difference(
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% difference(quotient(quotient(difference(i(A),quotient(quotient(quotient(
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% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))))
% collapsed.
% Rule
% [810]
% difference(quotient(quotient(difference(i(A),quotient(quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% <->
% quotient(difference(quotient(quotient(difference(i(A),quotient(quotient(
% quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A),C),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))))),
% quotient(difference(difference(quotient(quotient(difference(i(A),quotient(
% quotient(
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(quotient(difference(V_3,quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))),difference(
% quotient(
% quotient(
% difference(
% i(A),quotient(
% quotient(
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(
% quotient(
% quotient(
% difference(
% i(A),quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A),C),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))))),
% difference(quotient(quotient(difference(i(A),quotient(quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% quotient(quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A),C),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))))
% collapsed.
% Rule
% [811]
% quotient(difference(quotient(quotient(difference(i(A),quotient(quotient(
% quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A),C),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))))),
% quotient(difference(difference(quotient(quotient(difference(i(A),quotient(
% quotient(
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(quotient(difference(V_3,quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))),difference(
% quotient(
% quotient(
% difference(
% i(A),quotient(
% quotient(
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(
% quotient(
% difference(
% i(B),
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(
% quotient(
% quotient(
% difference(
% i(A),quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A),C),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))))),
% difference(quotient(quotient(difference(i(A),quotient(quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(
% quotient(quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A)))),A),C),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))))
% <->
% difference(quotient(quotient(difference(i(A),quotient(quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% collapsed.
% Rule
% [812]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% quotient(A,C),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(
% t(
% quotient(A,C),C),B),B)),A),A),A)))
% collapsed.
% Rule
% [813]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% difference(
% t(
% quotient(A,C),C),B),B)),A),A),A)))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% quotient(A,C),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% collapsed.
% Rule
% [814]
% quotient(quotient(difference(i(A),quotient(difference(i(B),quotient(quotient(
% quotient(
% eta(
% quotient(A,
% quotient(
% difference(B,A),A))),
% i(C)),
% quotient(
% difference(A,C),C)),
% quotient(difference(B,
% quotient(
% quotient(
% eta(
% quotient(A,
% quotient(
% difference(B,A),A))),
% i(C)),
% quotient(
% difference(A,C),C))),
% quotient(quotient(
% eta(
% quotient(A,
% quotient(
% difference(B,A),A))),
% i(C)),
% quotient(difference(A,C),C))))),B)),A),C)
% -> j(j(quotient(A,quotient(difference(B,A),A)))) collapsed.
% Rule
% [815]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(
% t(
% quotient(A,B),B),
% quotient(
% difference(C,
% t(
% quotient(A,B),B)),
% t(
% quotient(A,B),B))),A),A),A)))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(A,B),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(A,B),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(A,B),A),A)))))
% collapsed.
% Rule
% [816]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(A,B),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(A,B),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(A,B),A),A)))))
% <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(
% t(
% quotient(A,B),B),
% quotient(
% difference(C,
% t(
% quotient(A,B),B)),
% t(
% quotient(A,B),B))),A),A),A)))
% collapsed.
% Rule
% [817]
% quotient(quotient(difference(i(A),quotient(B,quotient(difference(quotient(C,
% quotient(
% difference(A,C),C)),B),B))),A),
% quotient(difference(V_3,quotient(difference(i(A),quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B))),A)),
% quotient(difference(i(A),quotient(B,quotient(difference(quotient(C,quotient(
% difference(A,C),C)),B),B))),A)))
% <->
% quotient(difference(i(quotient(A,quotient(difference(B,A),A))),quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),V_3),V_3)),C),C))),
% quotient(A,quotient(difference(B,A),A))) collapsed.
% Rule
% [818]
% quotient(difference(i(quotient(A,quotient(difference(B,A),A))),quotient(C,
% quotient(
% difference(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),V_3),V_3)),C),C))),
% quotient(A,quotient(difference(B,A),A))) <->
% quotient(quotient(difference(i(A),quotient(B,quotient(difference(quotient(C,
% quotient(
% difference(A,C),C)),B),B))),A),
% quotient(difference(V_3,quotient(difference(i(A),quotient(B,quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B))),A)),
% quotient(difference(i(A),quotient(B,quotient(difference(quotient(C,quotient(
% difference(A,C),C)),B),B))),A)))
% collapsed.
% Rule
% [819]
% quotient(difference(quotient(quotient(difference(i(A),quotient(quotient(
% quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
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% quotient(
% difference(B,A),A),A)),V_3),V_3)),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),V_3),V_3)),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(A,
% quotient(
% difference(B,A),A))),B)))),
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B)),x1),A)))),A),x1)),
% difference(quotient(quotient(difference(i(A),quotient(quotient(
% quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A)))))),
% difference(quotient(quotient(difference(i(A),quotient(quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))))
% <->
% difference(quotient(quotient(difference(i(A),quotient(quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% collapsed.
% Rule
% [820]
% difference(quotient(quotient(difference(i(A),quotient(quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
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% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),V_3),V_3)),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(A,
% quotient(
% difference(B,A),A))),B),
% quotient(
% difference(
% quotient(
% quotient(
% difference(
% i(x1),
% quotient(
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B),
% quotient(
% difference(
% quotient(x1,
% j(x1)),
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B)),
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B)))),x1),x1),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),V_3),V_3)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B),
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),V_3),V_3)),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),V_3),V_3)),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(A,
% quotient(
% difference(B,A),A))),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),V_3),V_3)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B),
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),V_3),V_3)),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(
% quotient(V_3,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),V_3),V_3)),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(A,
% quotient(
% difference(B,A),A))),B)))),
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B)),x1),A)))),A),x1)),
% difference(quotient(quotient(difference(i(A),quotient(quotient(
% quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A)))))),
% difference(quotient(quotient(difference(i(A),quotient(quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))))
% collapsed.
% Rule
% [821]
% difference(quotient(quotient(difference(i(A),quotient(quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% <->
% quotient(difference(quotient(quotient(difference(i(A),quotient(quotient(
% quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
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% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(difference(i(A),quotient(quotient(quotient(quotient(
% difference(
% i(quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(A,
% quotient(
% difference(B,A),A))),B),
% quotient(
% difference(
% quotient(C,
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% difference(
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
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% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B),C),C)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(C,
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% difference(
% quotient(A,
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% difference(B,A),A),A)),C),C)),
% quotient(A,
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% difference(B,A),A))),
% quotient(
% difference(
% quotient(
% difference(
% i(B),quotient(
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% difference(B,A),A)),
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% difference(B,
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% difference(B,A),A))),
% quotient(A,
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% difference(B,A),A))))),B),
% quotient(
% quotient(C,
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% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(A,
% quotient(
% difference(B,A),A))),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
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% difference(B,A),A))))),B),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
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% difference(B,A),A)))),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(A,
% quotient(
% difference(B,A),A))),B)))),
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B)),C),A),
% quotient(difference(quotient(C,quotient(
% difference(A,C),C)),
% quotient(quotient(quotient(
% difference(
% i(quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B),
% quotient(
% quotient(C,
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% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(A,
% quotient(
% difference(B,A),A))),B),
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B),C),C)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(A,
% quotient(
% difference(B,A),A))),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(A,
% quotient(
% difference(B,A),A))),B)))),
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
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% difference(B,A),A))))),B)),C),A)),
% quotient(quotient(quotient(difference(
% i(quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(A,
% quotient(
% difference(B,A),A))),B),
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B),C),C)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(A,
% quotient(
% difference(B,A),A))),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(A,
% quotient(
% difference(B,A),A))),B)))),
% quotient(difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B)),C),A)))),A),C))))
% collapsed.
% Rule
% [822]
% quotient(difference(quotient(quotient(difference(i(A),quotient(quotient(
% quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(difference(i(A),quotient(quotient(quotient(
% quotient(
% difference(
% i(quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B),
% quotient(
% quotient(C,
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% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(A,
% quotient(
% difference(B,A),A))),B),
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B),C),C)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(A,
% quotient(
% difference(B,A),A))),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
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% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(A,
% quotient(
% difference(B,A),A))),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(A,
% quotient(
% difference(B,A),A))),B)))),
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B)),C),A)),
% quotient(quotient(quotient(difference(
% i(quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(A,
% quotient(
% difference(B,A),A))),B),
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B),C),C)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(A,
% quotient(
% difference(B,A),A))),B)),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(
% difference(
% quotient(
% difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(
% quotient(C,
% quotient(
% difference(
% quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(A,
% quotient(
% difference(B,A),A))),B)))),
% quotient(difference(
% i(B),quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(B,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))),B)),C),A)))),A),C))))
% <->
% difference(quotient(quotient(difference(i(A),quotient(quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A),
% quotient(difference(quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(quotient(
% difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)),
% quotient(quotient(difference(
% i(B),quotient(
% quotient(
% difference(
% i(A),
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A),
% quotient(
% difference(
% quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)),
% quotient(
% quotient(
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A),
% quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A)),
% quotient(
% quotient(B,
% quotient(
% difference(
% quotient(A,
% j(A)),B),B)),A))),A)))),A),x1)),B),A)))),A),x1),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(difference(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% collapsed.
% Rule
% [823]
% quotient(quotient(A,quotient(difference(quotient(B,quotient(quotient(B,C),B)),A),A)),
% t(quotient(B,C),C)) <->
% difference(t(quotient(B,C),C),quotient(quotient(t(quotient(B,C),C),quotient(
% difference(A,
% t(
% quotient(B,C),C)),
% t(
% quotient(B,C),C))),
% quotient(difference(B,quotient(t(quotient(B,C),C),
% quotient(difference(A,
% t(quotient(B,C),C)),
% t(quotient(B,C),C)))),
% quotient(t(quotient(B,C),C),quotient(difference(A,
% t(
% quotient(B,C),C)),
% t(quotient(B,C),C))))))
% collapsed.
% Rule
% [824]
% difference(t(quotient(B,C),C),quotient(quotient(t(quotient(B,C),C),quotient(
% difference(A,
% t(
% quotient(B,C),C)),
% t(
% quotient(B,C),C))),
% quotient(difference(B,quotient(t(quotient(B,C),C),
% quotient(difference(A,
% t(quotient(B,C),C)),
% t(quotient(B,C),C)))),
% quotient(t(quotient(B,C),C),quotient(difference(A,
% t(
% quotient(B,C),C)),
% t(quotient(B,C),C))))))
% <->
% quotient(quotient(A,quotient(difference(quotient(B,quotient(quotient(B,C),B)),A),A)),
% t(quotient(B,C),C)) collapsed.
% Rule
% [825]
% quotient(difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% quotient(quotient(difference(C,difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))),
% quotient(difference(difference(quotient(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(
% quotient(B,
% quotient(
% quotient(
% difference(V_3,B),B),B)),A),A),A)))),
% difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% quotient(quotient(difference(C,difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))))),
% difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(quotient(difference(C,difference(quotient(A,j(A)),quotient(A,
% quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))))))
% <->
% difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(quotient(difference(quotient(C,quotient(difference(difference(
% quotient(A,
% j(A)),quotient(A,
% quotient(
% quotient(
% difference(V_3,A),A),A))),C),C)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))))
% collapsed.
% Rule
% [826]
% quotient(difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% quotient(
% difference(C,B),B),B)),A),A),A)))),
% quotient(difference(difference(quotient(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A))))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))),
% quotient(quotient(difference(V_3,difference(quotient(A,
% j(A)),
% quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A)))))),
% difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% quotient(
% difference(C,B),B),B)),A),A),A))))),
% difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% quotient(
% difference(C,B),B),B)),A),A),A))))))
% <->
% difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(quotient(difference(quotient(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(C,A),A),A))),
% quotient(difference(V_3,difference(quotient(A,
% j(A)),
% quotient(A,quotient(
% quotient(
% difference(C,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(C,A),A),A))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))))
% collapsed.
% Rule
% [827]
% difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(quotient(difference(quotient(C,quotient(difference(difference(
% quotient(A,
% j(A)),quotient(A,
% quotient(
% quotient(
% difference(V_3,A),A),A))),C),C)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))))
% <->
% quotient(difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% quotient(quotient(difference(C,difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))),
% quotient(difference(difference(quotient(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(
% quotient(B,
% quotient(
% quotient(
% difference(V_3,B),B),B)),A),A),A)))),
% difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% quotient(quotient(difference(C,difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))))),
% difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(quotient(difference(C,difference(quotient(A,j(A)),quotient(A,
% quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))))))
% collapsed.
% Rule
% [828]
% difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(quotient(difference(quotient(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(C,A),A),A))),
% quotient(difference(V_3,difference(quotient(A,
% j(A)),
% quotient(A,quotient(
% quotient(
% difference(C,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(C,A),A),A))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))))
% <->
% quotient(difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% quotient(
% difference(C,B),B),B)),A),A),A)))),
% quotient(difference(difference(quotient(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(B,A),A),A))))),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))),
% quotient(quotient(difference(V_3,difference(quotient(A,
% j(A)),
% quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A)))))),
% difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% quotient(
% difference(C,B),B),B)),A),A),A))))),
% difference(quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% quotient(
% difference(C,B),B),B)),A),A),A))))))
% collapsed.
% Rule
% [829]
% quotient(quotient(quotient(quotient(A,quotient(difference(B,A),A)),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(quotient(quotient(B,quotient(difference(quotient(C,
% quotient(difference(A,C),C)),B),B)),A),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A)))))),A)
% ->
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(C,
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A))))
% collapsed.
% Rule
% [831]
% quotient(quotient(C,quotient(difference(quotient(A,quotient(quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,quotient(difference(B,A),A))) <->
% difference(quotient(A,quotient(difference(B,A),A)),quotient(quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))))
% collapsed.
% Rule
% [832]
% difference(quotient(A,quotient(difference(B,A),A)),quotient(quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(quotient(
% quotient(B,
% quotient(
% difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B)),A),
% quotient(quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))))
% <->
% quotient(quotient(C,quotient(difference(quotient(A,quotient(quotient(
% difference(B,A),A),A)),C),C)),
% quotient(A,quotient(difference(B,A),A))) collapsed.
% Rule
% [835]
% quotient(difference(B,quotient(difference(i(quotient(B,quotient(difference(C,B),B))),A),
% quotient(B,quotient(difference(C,B),B)))),quotient(A,
% quotient(B,
% quotient(
% difference(C,B),B))))
% ->
% quotient(quotient(quotient(quotient(difference(quotient(difference(C,B),B),
% quotient(A,quotient(B,quotient(difference(C,B),B)))),
% quotient(difference(B,difference(quotient(
% difference(C,B),B),
% quotient(A,quotient(B,
% quotient(
% difference(C,B),B))))),
% difference(quotient(difference(C,B),B),quotient(A,
% quotient(B,
% quotient(
% difference(C,B),B)))))),
% quotient(difference(C,B),B)),quotient(B,quotient(difference(C,B),B))),
% quotient(A,quotient(B,quotient(difference(C,B),B)))) collapsed.
% Rule
% [836]
% quotient(quotient(eta(A),j(eta(A))),quotient(difference(B,quotient(eta(A),
% j(eta(A)))),
% quotient(eta(A),j(eta(A))))) <->
% quotient(difference(i(i(A)),quotient(difference(i(A),quotient(quotient(
% quotient(
% eta(A),
% i(B)),quotient(
% difference(
% i(A),B),B)),
% quotient(quotient(
% difference(A,
% quotient(
% quotient(
% eta(A),
% i(B)),quotient(
% difference(
% eta(A),B),B))),A),
% quotient(quotient(
% eta(A),
% i(B)),quotient(
% difference(
% i(A),B),B))))),A)),
% i(A)) collapsed.
% Rule
% [839]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(
% quotient(B,
% quotient(
% difference(A,B),B)),
% eta(A)),
% eta(A)),
% eta(A)))) <->
% quotient(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))),
% quotient(difference(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),
% i(i(i(A))))),
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A))))),
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))))) collapsed.
% Rule
% [841]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(difference(C,A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(quotient(quotient(quotient(difference(A,C),quotient(
% difference(
% quotient(A,
% j(A)),
% difference(A,C)),
% difference(A,C))),A),A),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% collapsed.
% Rule
% [843]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(quotient(quotient(quotient(difference(A,C),quotient(
% difference(
% quotient(A,
% j(A)),
% difference(A,C)),
% difference(A,C))),A),A),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(difference(C,A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% collapsed.
% Rule
% [844]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(
% quotient(B,
% quotient(
% difference(
% i(A),B),B)),
% eta(A)),
% eta(A)),
% eta(A)))) <->
% quotient(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))),
% quotient(difference(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),
% quotient(i(i(A)),
% eta(A)))),difference(
% quotient(
% eta(A),
% j(
% eta(A))),
% quotient(
% eta(A),
% quotient(
% quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A))))),
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% difference(B,
% eta(A)),
% eta(A)),
% eta(A)))))) collapsed.
% Rule
% [854]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% eta(B),A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% eta(B),A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(eta(B),A),A),A)))))
% ->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(i(i(B)),A),A),A)))
% collapsed.
% Rule
% [855]
% t(quotient(A,j(A)),quotient(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(C,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))))))
% <->
% quotient(quotient(A,quotient(quotient(difference(quotient(B,quotient(
% difference(C,B),B)),A),A),A)),
% quotient(A,j(A))) collapsed.
% Rule
% [856]
% quotient(quotient(A,quotient(quotient(difference(quotient(B,quotient(
% difference(C,B),B)),A),A),A)),
% quotient(A,j(A))) <->
% t(quotient(A,j(A)),quotient(difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(
% difference(C,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(
% difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))))))
% collapsed.
% Rule
% [857]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% j(j(B)),A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% j(j(B)),A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(j(j(B)),A),A),A)))))
% ->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(i(
% quotient(
% j(B),
% j(
% j(B)))),A),A),A)))
% collapsed.
% Rule
% [858]
% quotient(quotient(A,quotient(quotient(difference(quotient(B,quotient(
% difference(C,B),B)),A),A),A)),
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))))))
% -> quotient(A,j(A)) collapsed.
% Rule
% [859]
% difference(quotient(quotient(A,quotient(difference(B,A),A)),j(quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(quotient(A,quotient(difference(B,A),A)),quotient(quotient(quotient(
% difference(B,
% quotient(
% difference(
% i(B),
% quotient(A,
% quotient(
% difference(B,A),A))),B)),A),
% quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(
% difference(B,A),A)))))
% ->
% difference(quotient(quotient(A,quotient(difference(B,A),A)),j(quotient(A,
% quotient(
% difference(B,A),A)))),
% quotient(quotient(A,quotient(difference(B,A),A)),i(quotient(quotient(A,
% quotient(
% difference(B,A),A)),
% j(quotient(A,quotient(
% difference(B,A),A)))))))
% collapsed.
% Rule
% [860]
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% t(eta(B),C),A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(
% t(
% eta(B),V_3),A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% t(eta(B),C),A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(t(
% eta(B),C),A),A),A)))))
% <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(t(
% eta(B),
% quotient(C,
% quotient(
% difference(V_3,C),C))),A),A),A)))
% collapsed.
% Rule
% [861]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(t(
% eta(B),
% quotient(C,
% quotient(
% difference(V_3,C),C))),A),A),A)))
% <->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% t(eta(B),C),A),A),A))),
% quotient(difference(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(
% t(
% eta(B),V_3),A),A),A))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% t(eta(B),C),A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(t(
% eta(B),C),A),A),A)))))
% collapsed.
% Rule
% [877]
% difference(i(B),quotient(quotient(i(B),quotient(difference(A,i(B)),i(B))),
% quotient(difference(j(B),quotient(i(B),quotient(difference(A,
% i(B)),
% i(B)))),quotient(
% i(B),quotient(
% difference(A,
% i(B)),
% i(B))))))
% <-> quotient(quotient(A,quotient(difference(i(quotient(B,j(B))),A),A)),i(B))
% collapsed.
% Rule
% [880]
% quotient(quotient(difference(i(i(A)),quotient(quotient(B,quotient(difference(
% j(A),B),B)),
% quotient(difference(i(A),quotient(B,
% quotient(
% difference(
% j(A),B),B))),
% quotient(B,quotient(difference(j(A),B),B))))),
% i(A)),j(A)) <->
% difference(j(A),quotient(i(quotient(A,j(A))),quotient(difference(B,i(
% quotient(A,
% j(A)))),
% i(quotient(A,j(A))))))
% collapsed.
% Rule
% [893]
% quotient(quotient(quotient(difference(i(A),quotient(quotient(B,quotient(
% difference(
% i(A),B),B)),
% quotient(difference(quotient(x1,
% quotient(
% difference(A,x1),x1)),
% quotient(B,quotient(
% difference(
% i(A),B),B))),
% quotient(B,quotient(difference(
% i(A),B),B))))),A),x1),
% i(A)) -> difference(i(A),quotient(eta(A),i(B))) collapsed.
% Rule
% [909]
% difference(i(i(i(i(A)))),quotient(eta(A),i(quotient(eta(A),i(quotient(A,
% quotient(
% difference(B,A),A)))))))
% -> B collapsed.
% Rule
% [910]
% difference(i(i(B)),quotient(quotient(eta(B),i(quotient(B,quotient(difference(A,B),B)))),
% quotient(difference(eta(B),quotient(B,quotient(difference(A,B),B))),
% quotient(B,quotient(difference(A,B),B))))) ->
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),eta(B)),B)
% collapsed.
% Rule
% [913]
% difference(B,quotient(quotient(B,quotient(difference(A,B),B)),quotient(
% difference(
% quotient(B,
% j(B)),quotient(B,
% quotient(
% difference(A,B),B))),
% quotient(B,
% quotient(
% difference(A,B),B)))))
% <->
% quotient(quotient(A,quotient(difference(quotient(quotient(B,j(B)),t(quotient(B,
% j(B)),
% j(B))),A),A)),B)
% collapsed.
% Rule
% [914]
% quotient(quotient(A,quotient(difference(quotient(quotient(B,j(B)),t(quotient(B,
% j(B)),
% j(B))),A),A)),B)
% <->
% difference(B,quotient(quotient(B,quotient(difference(A,B),B)),quotient(
% difference(
% quotient(B,
% j(B)),quotient(B,
% quotient(
% difference(A,B),B))),
% quotient(B,
% quotient(
% difference(A,B),B)))))
% collapsed.
% Rule
% [959]
% quotient(quotient(difference(A,B),quotient(difference(quotient(C,quotient(
% difference(A,C),C)),
% difference(A,B)),difference(A,B))),A)
% -> difference(A,quotient(B,quotient(difference(C,B),B))) collapsed.
% Rule
% [961]
% quotient(difference(quotient(quotient(A,quotient(difference(quotient(B,
% quotient(
% difference(C,B),B)),A),A)),C),C),C)
% <->
% quotient(difference(B,quotient(difference(i(quotient(difference(A,C),C)),C),
% quotient(difference(A,C),C))),quotient(C,quotient(
% difference(A,C),C)))
% collapsed.
% Rule
% [962]
% quotient(difference(B,quotient(difference(i(quotient(difference(A,C),C)),C),
% quotient(difference(A,C),C))),quotient(C,quotient(
% difference(A,C),C)))
% <->
% quotient(difference(quotient(quotient(A,quotient(difference(quotient(B,
% quotient(
% difference(C,B),B)),A),A)),C),C),C)
% collapsed.
% Rule [972] quotient(A,quotient(j(A),quotient(difference(A,j(A)),j(A)))) -> A
% collapsed.
% Rule
% [975]
% quotient(A,quotient(j(eta(B)),quotient(difference(A,j(eta(B))),j(eta(B)))))
% -> eta(B) collapsed.
% Rule
% [978]
% quotient(t(quotient(A,B),B),quotient(t(t(quotient(A,B),B),quotient(A,B)),
% quotient(difference(t(quotient(A,B),B),t(
% t(
% quotient(A,B),B),
% quotient(A,B))),
% t(t(quotient(A,B),B),quotient(A,B))))) ->
% quotient(t(quotient(A,B),B),A) collapsed.
% Rule
% [979]
% quotient(quotient(A,quotient(difference(quotient(t(eta(B),C),quotient(
% quotient(C,
% eta(B)),
% t(eta(B),C))),A),A)),
% eta(B)) -> quotient(A,quotient(difference(t(eta(B),C),A),A)) collapsed.
% Rule
% [980]
% quotient(quotient(eta(A),i(B)),quotient(quotient(difference(C,B),B),quotient(
% difference(
% quotient(
% eta(A),
% i(B)),
% quotient(
% difference(C,B),B)),
% quotient(
% difference(C,B),B))))
% -> C collapsed.
% Rule
% [984]
% difference(t(eta(A),B),quotient(quotient(t(eta(A),B),quotient(quotient(B,
% eta(A)),
% t(eta(A),B))),quotient(
% difference(C,
% quotient(
% t(
% eta(A),B),
% quotient(
% quotient(B,
% eta(A)),
% t(
% eta(A),B)))),
% quotient(
% t(
% eta(A),B),
% quotient(
% quotient(B,
% eta(A)),
% t(
% eta(A),B))))))
% -> quotient(eta(A),i(C)) collapsed.
% Rule
% [994]
% quotient(quotient(A,B),quotient(A,quotient(B,quotient(difference(A,B),B))))
% -> A collapsed.
% Rule
% [995]
% quotient(A,quotient(difference(i(i(B)),A),A)) ->
% quotient(quotient(A,quotient(difference(B,A),A)),eta(B)) collapsed.
% Rule
% [997]
% quotient(A,quotient(difference(eta(B),A),A)) ->
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),eta(B)),B)
% collapsed.
% Rule
% [999]
% t(eta(A),quotient(quotient(quotient(B,quotient(difference(A,B),B)),eta(A)),A))
% -> quotient(eta(A),i(B)) collapsed.
% Rule
% [1001]
% difference(i(i(A)),quotient(A,quotient(difference(B,A),A))) ->
% quotient(quotient(eta(A),i(quotient(quotient(B,quotient(difference(A,B),B)),
% eta(A)))),i(i(A))) collapsed.
% Rule
% [1002]
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),quotient(B,
% quotient(A,
% quotient(difference(B,A),A)))),A)
% -> quotient(A,quotient(difference(B,A),A)) collapsed.
% Rule
% [1004]
% quotient(quotient(eta(A),j(eta(B))),difference(quotient(quotient(quotient(A,
% quotient(
% difference(B,A),A)),
% eta(B)),B),eta(B)))
% ->
% quotient(quotient(eta(A),i(quotient(quotient(A,quotient(difference(B,A),A)),
% eta(B)))),B) collapsed.
% Rule
% [1005]
% quotient(quotient(A,quotient(difference(quotient(quotient(eta(B),i(quotient(
% quotient(B,
% quotient(
% difference(C,B),B)),
% eta(C)))),C),A),A)),
% eta(C)) -> quotient(quotient(A,quotient(difference(B,A),A)),eta(B))
% collapsed.
% Rule
% [1006]
% quotient(quotient(eta(A),i(quotient(A,quotient(difference(B,A),A)))),A) <->
% quotient(quotient(quotient(t(i(i(A)),B),quotient(difference(A,t(i(i(A)),B)),
% t(i(i(A)),B))),eta(A)),A) collapsed.
% Rule
% [1007]
% quotient(quotient(quotient(t(i(i(A)),B),quotient(difference(A,t(i(i(A)),B)),
% t(i(i(A)),B))),eta(A)),A) <->
% quotient(quotient(eta(A),i(quotient(A,quotient(difference(B,A),A)))),A)
% collapsed.
% Rule
% [1008]
% quotient(quotient(quotient(eta(A),i(B)),quotient(difference(quotient(
% quotient(
% quotient(C,
% quotient(
% difference(V_3,C),C)),
% eta(V_3)),V_3),B),B)),
% eta(V_3)) -> quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B))
% collapsed.
% Rule
% [1009]
% difference(eta(B),quotient(quotient(i(i(B)),difference(quotient(quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(B)),B),B)),B))
% ->
% quotient(quotient(A,quotient(difference(quotient(eta(B),j(eta(B))),A),A)),
% j(j(B))) collapsed.
% Rule
% [1010]
% difference(B,quotient(quotient(quotient(quotient(B,quotient(difference(
% i(A),B),B)),
% quotient(quotient(difference(A,quotient(
% quotient(
% quotient(B,
% quotient(
% difference(A,B),B)),
% eta(A)),A)),A),
% quotient(B,quotient(difference(i(A),B),B)))),
% eta(A)),A)) -> j(A) collapsed.
% Rule
% [1011]
% difference(B,quotient(quotient(quotient(quotient(B,quotient(difference(A,B),B)),
% quotient(A,quotient(B,quotient(difference(A,B),B)))),
% eta(B)),B)) ->
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),eta(B)),B)
% collapsed.
% Rule
% [1012]
% quotient(quotient(eta(B),quotient(quotient(quotient(i(quotient(B,quotient(
% difference(A,B),B))),
% quotient(difference(B,i(quotient(B,
% quotient(
% difference(A,B),B)))),
% i(quotient(B,quotient(difference(A,B),B))))),
% eta(B)),B)),A) -> B collapsed.
% Rule
% [1013]
% quotient(B,quotient(difference(quotient(quotient(quotient(C,quotient(
% difference(A,C),C)),
% eta(A)),A),B),B)) ->
% quotient(quotient(quotient(quotient(B,quotient(difference(C,B),B)),quotient(
% difference(A,
% quotient(B,
% quotient(
% difference(C,B),B))),
% quotient(B,
% quotient(
% difference(C,B),B)))),
% eta(A)),A) collapsed.
% Rule
% [1014]
% quotient(difference(i(A),quotient(B,quotient(difference(quotient(eta(C),
% i(quotient(C,
% quotient(difference(A,C),C)))),B),B))),A)
% <->
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A)))),
% eta(C)) collapsed.
% Rule
% [1015]
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),quotient(difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(difference(B,A),A)))),
% eta(C)) <->
% quotient(difference(i(A),quotient(B,quotient(difference(quotient(eta(C),
% i(quotient(C,
% quotient(difference(A,C),C)))),B),B))),A)
% collapsed.
% Rule
% [1016]
% difference(i(i(A)),quotient(eta(A),i(quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(C,quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))))))
% <->
% quotient(quotient(quotient(B,quotient(difference(quotient(C,quotient(
% difference(A,C),C)),B),B)),
% eta(A)),i(i(A))) collapsed.
% Rule
% [1017]
% quotient(quotient(quotient(B,quotient(difference(quotient(C,quotient(
% difference(A,C),C)),B),B)),
% eta(A)),i(i(A))) <->
% difference(i(i(A)),quotient(eta(A),i(quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(C,quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))))))
% collapsed.
% Rule
% [1018]
% quotient(eta(A),quotient(quotient(i(quotient(quotient(quotient(B,quotient(
% difference(A,B),B)),
% eta(A)),A)),A),eta(A))) <->
% quotient(eta(A),i(quotient(quotient(quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(B,quotient(A,quotient(difference(B,A),A)))),
% eta(A)),A))) collapsed.
% Rule
% [1019]
% quotient(eta(A),i(quotient(quotient(quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(B,quotient(A,quotient(difference(B,A),A)))),
% eta(A)),A))) <->
% quotient(eta(A),quotient(quotient(i(quotient(quotient(quotient(B,quotient(
% difference(A,B),B)),
% eta(A)),A)),A),eta(A)))
% collapsed.
% Rule
% [1020]
% difference(C,quotient(quotient(quotient(C,quotient(difference(A,C),C)),
% eta(A)),quotient(difference(B,quotient(quotient(C,
% quotient(
% difference(A,C),C)),
% eta(A))),quotient(
% quotient(C,
% quotient(
% difference(A,C),C)),
% eta(A))))) ->
% quotient(quotient(eta(A),quotient(quotient(i(quotient(B,quotient(difference(C,B),B))),A),
% eta(A))),C) collapsed.
% Rule
% [1021]
% quotient(difference(i(A),quotient(eta(B),i(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B))))),A)
% <->
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),eta(B)),quotient(
% difference(C,
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(B))),
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(B))))
% collapsed.
% Rule
% [1022]
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),eta(B)),quotient(
% difference(C,
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(B))),
% quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(B))))
% <->
% quotient(difference(i(A),quotient(eta(B),i(quotient(B,quotient(difference(
% quotient(C,
% quotient(
% difference(A,C),C)),B),B))))),A)
% collapsed.
% Rule
% [1023]
% quotient(quotient(A,difference(A,quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(C,quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))))),
% quotient(A,quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B))))
% -> A collapsed.
% Rule
% [1024]
% quotient(eta(A),quotient(quotient(quotient(i(quotient(quotient(B,quotient(
% difference(C,B),B)),
% eta(A))),quotient(difference(A,
% i(quotient(
% quotient(B,
% quotient(
% difference(C,B),B)),
% eta(A)))),
% i(quotient(quotient(B,
% quotient(
% difference(C,B),B)),
% eta(A))))),eta(A)),A))
% -> quotient(quotient(B,quotient(difference(C,B),B)),eta(A)) collapsed.
% Rule
% [1025]
% difference(i(B),quotient(quotient(i(B),quotient(difference(A,i(B)),i(B))),
% quotient(quotient(quotient(difference(B,quotient(quotient(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(B)),B)),B),
% i(B)),quotient(i(B),quotient(difference(A,i(B)),
% i(B)))))) ->
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),eta(B)),B)
% collapsed.
% Rule
% [1026]
% quotient(quotient(quotient(quotient(C,quotient(difference(quotient(A,
% quotient(difference(B,A),A)),C),C)),
% eta(B)),i(i(B))),A) ->
% quotient(difference(i(i(B)),quotient(quotient(eta(B),quotient(quotient(
% i(C),B),
% eta(B))),quotient(
% difference(A,
% quotient(
% eta(B),
% quotient(
% quotient(
% i(C),B),
% eta(B)))),
% quotient(
% eta(B),
% quotient(
% quotient(
% i(C),B),
% eta(B)))))),A)
% collapsed.
% Rule
% [1027]
% quotient(quotient(difference(i(A),quotient(quotient(B,quotient(difference(
% i(A),B),B)),
% quotient(quotient(difference(A,quotient(
% quotient(
% quotient(B,
% quotient(
% difference(A,B),B)),
% eta(A)),A)),A),
% quotient(B,quotient(difference(i(A),B),B))))),A),
% difference(i(A),quotient(eta(A),i(B)))) ->
% t(difference(i(A),quotient(eta(A),i(B))),i(A)) collapsed.
% Rule
% [1032]
% t(A,quotient(A,quotient(B,quotient(difference(A,B),B)))) ->
% quotient(quotient(A,B),A) collapsed.
% Rule
% [1042]
% t(A,quotient(A,quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B))))
% <->
% quotient(quotient(A,difference(A,quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(C,quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))))),A)
% collapsed.
% Rule
% [1043]
% quotient(quotient(A,difference(A,quotient(quotient(A,quotient(difference(B,A),A)),
% quotient(difference(C,quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))))),A)
% <->
% t(A,quotient(A,quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B))))
% collapsed.
% Rule
% [1076]
% difference(i(quotient(A,quotient(difference(B,A),A))),difference(B,eta(A)))
% -> A collapsed.
% Rule
% [1078]
% i(quotient(i(B),quotient(difference(A,i(B)),i(B)))) ->
% quotient(difference(A,eta(B)),i(B)) collapsed.
% Rule
% [1081]
% quotient(difference(A,eta(B)),i(quotient(B,quotient(difference(A,B),B)))) ->
% t(i(quotient(B,quotient(difference(A,B),B))),B) collapsed.
% Rule
% [1082]
% difference(t(i(quotient(A,quotient(difference(B,A),A))),A),difference(B,
% eta(A))) ->
% i(quotient(A,quotient(difference(B,A),A))) collapsed.
% Rule
% [1083]
% i(quotient(difference(i(B),quotient(quotient(eta(B),A),quotient(difference(B,
% quotient(
% eta(B),A)),
% quotient(eta(B),A)))),B))
% -> quotient(A,B) collapsed.
% Rule
% [1084]
% quotient(difference(A,eta(B)),t(i(quotient(B,quotient(difference(A,B),B))),B))
% ->
% t(t(i(quotient(B,quotient(difference(A,B),B))),B),i(quotient(B,quotient(
% difference(A,B),B))))
% collapsed.
% Rule
% [1085]
% i(quotient(difference(i(A),quotient(t(quotient(eta(A),B),B),quotient(
% difference(A,
% t(quotient(
% eta(A),B),B)),
% t(quotient(
% eta(A),B),B)))),A))
% -> quotient(quotient(eta(A),B),A) collapsed.
% Rule
% [1093]
% i(quotient(j(B),quotient(difference(A,j(B)),j(B)))) ->
% quotient(difference(A,eta(B)),j(B)) collapsed.
% Rule
% [1097]
% quotient(quotient(A,i(quotient(A,quotient(difference(B,A),A)))),quotient(A,
% difference(B,
% eta(A)))) ->
% A collapsed.
% Rule
% [1098]
% quotient(quotient(difference(A,eta(B)),quotient(B,difference(A,eta(B)))),
% i(quotient(B,quotient(difference(A,B),B)))) -> difference(A,eta(B))
% collapsed.
% Rule
% [1099]
% i(quotient(difference(i(A),quotient(t(eta(A),B),quotient(difference(A,
% t(eta(A),B)),
% t(eta(A),B)))),A)) <->
% quotient(t(eta(A),difference(B,eta(A))),A) collapsed.
% Rule
% [1103]
% difference(j(j(A)),quotient(j(A),quotient(difference(A,j(A)),j(A)))) -> j(A)
% collapsed.
% Rule
% [1108]
% quotient(quotient(quotient(A,quotient(difference(B,A),A)),t(quotient(A,
% quotient(
% difference(B,A),A)),
% quotient(difference(B,A),A))),
% t(A,B)) -> quotient(A,quotient(difference(B,A),A)) collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% quotient(difference(i(x0),quotient(eta(quotient(eta(x0),quotient(eta(x1),
% quotient(i(x0),x1)))),
% quotient(i(x0),quotient(eta(x0),quotient(eta(x1),
% quotient(i(x0),x1)))))),x0) =
% j(x1)
%
% Current number of equations to process: 415
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced : [1114] quotient(quotient(eta(A),quotient(i(B),A)),B) -> A
% Current number of equations to process: 409
% Current number of ordered equations: 7
% Current number of rules: 291
% New rule produced :
% [1115]
% quotient(eta(A),i(quotient(eta(A),quotient(i(B),A)))) <->
% quotient(eta(A),quotient(i(B),i(i(A))))
% Current number of equations to process: 587
% Current number of ordered equations: 131
% Current number of rules: 292
% New rule produced :
% [1116]
% quotient(eta(A),quotient(i(B),i(i(A)))) <->
% quotient(eta(A),i(quotient(eta(A),quotient(i(B),A))))
% Current number of equations to process: 587
% Current number of ordered equations: 130
% Current number of rules: 293
% New rule produced :
% [1117]
% quotient(eta(quotient(eta(A),i(B))),quotient(i(C),quotient(eta(A),i(B)))) <->
% quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B))
% Current number of equations to process: 488
% Current number of ordered equations: 246
% Current number of rules: 294
% New rule produced :
% [1118]
% quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B)) <->
% quotient(eta(quotient(eta(A),i(B))),quotient(i(C),quotient(eta(A),i(B))))
% Rule
% [336]
% quotient(quotient(eta(A),i(B)),quotient(difference(i(quotient(eta(A),i(B))),B),B))
% -> one collapsed.
% Rule
% [394]
% quotient(difference(i(A),quotient(quotient(eta(A),i(B)),quotient(difference(A,B),B))),A)
% -> quotient(eta(j(j(A))),quotient(i(B),j(j(A)))) collapsed.
% Rule
% [408]
% quotient(quotient(eta(A),i(B)),quotient(difference(j(quotient(eta(A),i(B))),B),B))
% -> eta(quotient(eta(A),i(B))) collapsed.
% Rule
% [505]
% quotient(difference(i(i(A)),quotient(quotient(eta(A),i(B)),quotient(difference(
% i(A),B),B))),
% i(A)) -> quotient(eta(j(A)),quotient(i(B),j(A))) collapsed.
% Rule
% [622]
% quotient(quotient(difference(i(A),quotient(quotient(eta(A),i(quotient(
% eta(A),i(B)))),
% quotient(difference(A,quotient(eta(A),i(B))),
% quotient(eta(A),i(B))))),A),j(j(j(j(A)))))
% -> t(j(j(j(j(A)))),B) collapsed.
% Rule
% [650]
% quotient(quotient(quotient(eta(A),i(B)),quotient(difference(quotient(
% eta(quotient(
% eta(A),
% i(B))),
% i(C)),B),B)),
% j(j(quotient(eta(A),i(B))))) -> t(j(j(quotient(eta(A),i(B)))),C) collapsed.
% Rule
% [837]
% quotient(difference(i(i(A)),quotient(difference(i(A),quotient(quotient(
% quotient(
% eta(A),
% i(B)),quotient(
% difference(
% i(A),B),B)),
% quotient(quotient(
% difference(A,
% quotient(
% quotient(
% eta(A),
% i(B)),quotient(
% difference(
% eta(A),B),B))),A),
% quotient(quotient(
% eta(A),
% i(B)),quotient(
% difference(
% i(A),B),B))))),A)),
% i(A)) ->
% quotient(eta(quotient(eta(A),j(eta(A)))),quotient(i(B),quotient(eta(A),
% j(eta(A)))))
% collapsed.
% Current number of equations to process: 493
% Current number of ordered equations: 237
% Current number of rules: 288
% New rule produced :
% [1119]
% quotient(difference(i(A),quotient(eta(quotient(eta(A),i(B))),quotient(
% i(A),quotient(
% eta(A),
% i(B))))),A)
% -> quotient(eta(A),quotient(i(B),j(j(A))))
% Current number of equations to process: 492
% Current number of ordered equations: 237
% Current number of rules: 289
% New rule produced :
% [1120]
% difference(A,quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(
% i(C),quotient(
% eta(A),
% quotient(
% i(B),A)))))
% ->
% quotient(quotient(eta(B),quotient(i(quotient(eta(C),quotient(i(A),C))),B)),A)
% Current number of equations to process: 492
% Current number of ordered equations: 236
% Current number of rules: 290
% New rule produced :
% [1121]
% quotient(difference(B,quotient(difference(i(B),quotient(eta(C),quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),C))),B)),A)
% ->
% quotient(quotient(quotient(eta(C),quotient(i(quotient(eta(A),quotient(i(B),A))),C)),B),A)
% Current number of equations to process: 492
% Current number of ordered equations: 235
% Current number of rules: 291
% New rule produced :
% [1122]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(
% eta(B),
% quotient(
% i(C),B)),A),A),A)))
% ->
% quotient(eta(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A)))),
% quotient(i(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% Current number of equations to process: 492
% Current number of ordered equations: 234
% Current number of rules: 292
% New rule produced : [1123] quotient(quotient(eta(A),i(B)),B) -> eta(A)
% Rule [1058] t(eta(A),quotient(quotient(eta(A),i(B)),B)) -> eta(A) collapsed.
% Current number of equations to process: 492
% Current number of ordered equations: 231
% Current number of rules: 292
% New rule produced : [1124] j(t(quotient(A,j(A)),j(A))) -> A
% Current number of equations to process: 492
% Current number of ordered equations: 230
% Current number of rules: 293
% New rule produced : [1125] quotient(A,i(A)) -> i(t(A,i(quotient(A,j(A)))))
% Rule [358] quotient(quotient(A,i(A)),A) -> j(j(A)) collapsed.
% Rule [947] quotient(quotient(A,i(A)),i(i(A))) -> A collapsed.
% Rule [1067] i(quotient(A,i(A))) -> t(A,i(quotient(A,j(A)))) collapsed.
% Rule [1090] i(quotient(quotient(A,i(A)),eta(A))) -> quotient(i(i(i(A))),A)
% collapsed.
% Rule [1101] difference(j(j(A)),quotient(A,i(A))) -> A collapsed.
% Rule
% [1107]
% quotient(quotient(i(i(i(i(A)))),i(i(i(i(i(A)))))),quotient(i(i(i(i(A)))),
% eta(A))) -> i(i(i(i(A))))
% collapsed.
% Current number of equations to process: 498
% Current number of ordered equations: 223
% Current number of rules: 288
% New rule produced :
% [1126] t(eta(A),eta(difference(eta(A),B))) -> eta(quotient(B,eta(A)))
% Current number of equations to process: 498
% Current number of ordered equations: 218
% Current number of rules: 289
% New rule produced : [1127] t(t(eta(A),B),eta(A)) -> t(eta(A),t(B,eta(A)))
% Rule
% [1056]
% t(t(eta(A),quotient(B,eta(A))),eta(A)) ->
% t(eta(A),t(quotient(B,eta(A)),eta(A))) collapsed.
% Current number of equations to process: 498
% Current number of ordered equations: 217
% Current number of rules: 289
% New rule produced :
% [1128]
% difference(quotient(A,quotient(B,A)),eta(A)) -> quotient(i(quotient(A,B)),A)
% Current number of equations to process: 498
% Current number of ordered equations: 215
% Current number of rules: 290
% New rule produced :
% [1129] quotient(difference(i(i(A)),j(j(A))),eta(A)) -> eta(A)
% Current number of equations to process: 498
% Current number of ordered equations: 214
% Current number of rules: 291
% New rule produced :
% [1130] difference(t(A,B),quotient(eta(A),quotient(i(B),A))) -> A
% Current number of equations to process: 498
% Current number of ordered equations: 213
% Current number of rules: 292
% New rule produced :
% [1131] quotient(eta(quotient(A,B)),quotient(i(B),quotient(A,B))) -> A
% Current number of equations to process: 498
% Current number of ordered equations: 211
% Current number of rules: 293
% New rule produced : [1132] quotient(i(t(A,i(quotient(A,j(A))))),A) -> j(j(A))
% Current number of equations to process: 497
% Current number of ordered equations: 211
% Current number of rules: 294
% New rule produced : [1133] j(quotient(i(B),eta(A))) <-> quotient(eta(A),i(B))
% Current number of equations to process: 497
% Current number of ordered equations: 210
% Current number of rules: 295
% New rule produced : [1134] quotient(eta(A),i(B)) <-> j(quotient(i(B),eta(A)))
% Rule
% [413]
% t(A,t(eta(quotient(A,j(A))),quotient(difference(i(A),quotient(eta(quotient(A,
% j(A))),
% i(A))),A))) ->
% difference(A,j(j(quotient(A,j(A))))) collapsed.
% Rule
% [521]
% difference(difference(A,B),t(eta(difference(A,B)),quotient(difference(
% i(A),quotient(
% eta(difference(A,B)),
% i(A))),A)))
% ->
% quotient(quotient(eta(j(difference(A,B))),quotient(i(B),j(difference(A,B)))),
% difference(A,B)) collapsed.
% Rule
% [713]
% quotient(eta(A),i(quotient(difference(i(B),quotient(eta(quotient(eta(A),i(B))),
% i(B))),B))) ->
% j(j(quotient(eta(A),i(B)))) collapsed.
% Current number of equations to process: 500
% Current number of ordered equations: 209
% Current number of rules: 293
% New rule produced :
% [1135] difference(t(i(i(i(A))),eta(A)),i(A)) -> i(i(i(A)))
% Current number of equations to process: 500
% Current number of ordered equations: 208
% Current number of rules: 294
% New rule produced :
% [1136] t(t(eta(A),B),j(eta(A))) -> t(eta(A),t(B,j(eta(A))))
% Current number of equations to process: 500
% Current number of ordered equations: 206
% Current number of rules: 295
% New rule produced :
% [1137] t(j(eta(A)),t(eta(A),B)) -> t(eta(A),t(j(eta(A)),B))
% Current number of equations to process: 500
% Current number of ordered equations: 203
% Current number of rules: 296
% New rule produced : [1138] quotient(i(t(A,i(quotient(A,j(A))))),i(i(A))) -> A
% Current number of equations to process: 499
% Current number of ordered equations: 203
% Current number of rules: 297
% New rule produced :
% [1139] i(i(t(A,i(quotient(A,j(A)))))) -> t(A,i(quotient(A,j(A))))
% Current number of equations to process: 498
% Current number of ordered equations: 203
% Current number of rules: 298
% New rule produced :
% [1140] difference(j(j(A)),i(t(A,i(quotient(A,j(A)))))) -> A
% Current number of equations to process: 497
% Current number of ordered equations: 203
% Current number of rules: 299
% New rule produced :
% [1141]
% quotient(quotient(quotient(eta(A),i(B)),j(B)),B) -> quotient(eta(A),i(B))
% Current number of equations to process: 497
% Current number of ordered equations: 202
% Current number of rules: 300
% New rule produced :
% [1142]
% quotient(quotient(eta(A),j(eta(B))),i(B)) -> quotient(eta(A),i(i(i(B))))
% Rule [492] quotient(quotient(eta(A),j(eta(A))),i(A)) -> t(i(A),j(j(A)))
% collapsed.
% Current number of equations to process: 500
% Current number of ordered equations: 199
% Current number of rules: 300
% New rule produced : [1143] t(i(A),j(j(A))) -> i(i(i(i(A))))
% Current number of equations to process: 499
% Current number of ordered equations: 199
% Current number of rules: 301
% New rule produced :
% [1144] quotient(eta(A),quotient(eta(B),quotient(j(eta(A)),i(B)))) -> B
% Current number of equations to process: 501
% Current number of ordered equations: 195
% Current number of rules: 302
% New rule produced :
% [1145] quotient(quotient(eta(A),quotient(j(eta(A)),A)),j(j(A))) -> one
% Current number of equations to process: 501
% Current number of ordered equations: 194
% Current number of rules: 303
% New rule produced :
% [1146]
% difference(j(j(A)),quotient(eta(A),quotient(i(B),A))) -> difference(eta(A),B)
% Current number of equations to process: 501
% Current number of ordered equations: 193
% Current number of rules: 304
% New rule produced :
% [1147] difference(i(t(eta(A),B)),quotient(eta(A),i(i(B)))) -> eta(A)
% Current number of equations to process: 501
% Current number of ordered equations: 192
% Current number of rules: 305
% New rule produced :
% [1148] difference(i(quotient(j(A),j(j(A)))),eta(A)) -> quotient(i(A),j(j(A)))
% Current number of equations to process: 501
% Current number of ordered equations: 191
% Current number of rules: 306
% New rule produced :
% [1149]
% difference(i(i(i(A))),i(i(A))) -> quotient(difference(i(A),j(j(A))),eta(A))
% Current number of equations to process: 501
% Current number of ordered equations: 190
% Current number of rules: 307
% New rule produced :
% [1150]
% difference(quotient(eta(A),B),i(i(A))) ->
% quotient(difference(j(B),j(j(A))),eta(A))
% Rule
% [281]
% difference(quotient(eta(B),i(A)),i(i(B))) ->
% quotient(difference(A,j(j(B))),eta(B)) collapsed.
% Current number of equations to process: 501
% Current number of ordered equations: 183
% Current number of rules: 307
% New rule produced :
% [1151] quotient(t(eta(A),B),i(i(i(i(A))))) -> t(eta(A),quotient(B,A))
% Current number of equations to process: 501
% Current number of ordered equations: 181
% Current number of rules: 308
% New rule produced :
% [1152] quotient(i(i(i(i(A)))),t(eta(A),B)) -> t(eta(A),quotient(A,B))
% Current number of equations to process: 501
% Current number of ordered equations: 180
% Current number of rules: 309
% New rule produced :
% [1153] difference(i(i(i(i(A)))),t(eta(A),B)) -> t(eta(A),difference(A,B))
% Current number of equations to process: 501
% Current number of ordered equations: 179
% Current number of rules: 310
% New rule produced :
% [1154] difference(t(eta(A),B),i(i(i(i(A))))) -> t(eta(A),difference(B,A))
% Current number of equations to process: 501
% Current number of ordered equations: 178
% Current number of rules: 311
% New rule produced :
% [1155] difference(eta(A),quotient(quotient(eta(A),i(i(B))),j(B))) -> eta(B)
% Current number of equations to process: 501
% Current number of ordered equations: 177
% Current number of rules: 312
% New rule produced :
% [1156] quotient(quotient(eta(A),quotient(i(B),A)),t(A,B)) -> t(t(A,B),A)
% Current number of equations to process: 501
% Current number of ordered equations: 176
% Current number of rules: 313
% New rule produced :
% [1157]
% quotient(quotient(eta(A),quotient(i(B),A)),difference(eta(A),B)) -> j(j(A))
% Current number of equations to process: 501
% Current number of ordered equations: 175
% Current number of rules: 314
% New rule produced :
% [1158]
% quotient(quotient(A,B),quotient(A,quotient(eta(B),quotient(i(A),B)))) -> A
% Current number of equations to process: 501
% Current number of ordered equations: 174
% Current number of rules: 315
% Rule [1095]
% t(A,quotient(A,difference(B,eta(A)))) ->
% quotient(quotient(A,i(quotient(eta(A),quotient(i(B),A)))),A) is composed into
% [1095]
% t(A,quotient(A,difference(B,eta(A)))) ->
% t(A,quotient(A,quotient(eta(i(quotient(eta(A),quotient(i(B),A)))),quotient(
% i(A),
% i(quotient(
% eta(A),
% quotient(
% i(B),A)))))))
% Rule [849]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(
% difference(
% t(quotient(B,C),C),
% quotient(
% difference(
% i(difference(B,A)),A),
% difference(B,A))),B),A),A)))
% <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(
% quotient(B,C),B)),A),A),A))) is composed into
% [849]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(
% t(quotient(B,C),C),
% quotient(
% difference(
% i(difference(B,A)),A),
% difference(B,A))),B),A),A)))
% <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% t(B,
% quotient(B,
% quotient(
% eta(C),
% quotient(
% i(B),C))))),A),A),A)))
% New rule produced :
% [1159]
% quotient(quotient(A,B),A) ->
% t(A,quotient(A,quotient(eta(B),quotient(i(A),B))))
% Rule [219] quotient(quotient(A,j(A)),A) -> A collapsed.
% Rule [240] quotient(quotient(A,quotient(B,A)),A) -> t(A,quotient(A,B))
% collapsed.
% Rule
% [314] quotient(quotient(A,quotient(quotient(A,B),A)),t(quotient(A,B),B)) -> A
% collapsed.
% Rule
% [848]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(
% quotient(B,C),B)),A),A),A)))
% <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(
% t(quotient(B,C),C),
% quotient(
% difference(
% i(difference(B,A)),A),
% difference(B,A))),B),A),A)))
% collapsed.
% Rule [940] quotient(quotient(A,j(eta(B))),A) -> t(A,eta(B)) collapsed.
% Rule
% [998]
% quotient(quotient(quotient(A,B),t(quotient(A,B),B)),quotient(quotient(A,B),A))
% -> quotient(A,B) collapsed.
% Rule
% [1033]
% quotient(quotient(difference(A,B),A),difference(A,B)) ->
% t(difference(A,B),quotient(difference(A,B),B)) collapsed.
% Rule
% [1037]
% quotient(quotient(quotient(A,B),A),quotient(quotient(A,B),quotient(A,
% quotient(B,A)))) ->
% quotient(A,B) collapsed.
% Rule
% [1038]
% quotient(quotient(quotient(A,B),t(quotient(A,B),B)),quotient(A,B)) ->
% t(quotient(A,B),quotient(quotient(A,B),A)) collapsed.
% Rule
% [1041]
% quotient(quotient(t(quotient(A,B),B),t(t(quotient(A,B),B),quotient(A,B))),
% t(quotient(A,B),B)) -> t(t(quotient(A,B),B),quotient(t(quotient(A,B),B),A))
% collapsed.
% Rule
% [1047]
% quotient(quotient(eta(A),B),eta(A)) ->
% t(eta(A),quotient(eta(A),quotient(B,j(eta(A))))) collapsed.
% Rule
% [1048]
% quotient(quotient(j(eta(A)),j(j(A))),j(eta(A))) ->
% t(j(eta(A)),quotient(j(eta(A)),A)) collapsed.
% Rule
% [1049]
% quotient(quotient(A,t(A,quotient(A,B))),A) ->
% t(A,t(quotient(A,quotient(B,A)),quotient(B,A))) collapsed.
% Rule
% [1051]
% quotient(quotient(quotient(A,B),A),quotient(A,B)) ->
% t(quotient(A,B),quotient(quotient(A,B),quotient(A,quotient(B,A)))) collapsed.
% Rule
% [1105]
% difference(t(A,t(quotient(A,B),B)),quotient(A,quotient(quotient(A,B),A))) ->
% A collapsed.
% Current number of equations to process: 515
% Current number of ordered equations: 165
% Current number of rules: 301
% New rule produced :
% [1160]
% quotient(difference(A,eta(B)),i(B)) ->
% i(quotient(eta(B),quotient(i(A),i(B))))
% Rule
% [1080]
% difference(i(i(i(A))),quotient(eta(A),quotient(difference(B,eta(A)),i(A))))
% -> B collapsed.
% Rule
% [1087]
% difference(i(i(A)),quotient(eta(A),quotient(difference(B,eta(quotient(
% j(A),j(j(A))))),
% i(quotient(j(A),j(j(A))))))) ->
% t(i(i(A)),quotient(quotient(eta(B),quotient(i(A),B)),eta(A))) collapsed.
% Current number of equations to process: 517
% Current number of ordered equations: 164
% Current number of rules: 300
% New rule produced :
% [1161]
% difference(i(quotient(eta(A),quotient(i(B),A))),difference(B,eta(A))) -> A
% Current number of equations to process: 517
% Current number of ordered equations: 163
% Current number of rules: 301
% New rule produced :
% [1162]
% quotient(difference(A,eta(B)),j(B)) ->
% i(quotient(eta(B),quotient(i(A),j(B))))
% Current number of equations to process: 517
% Current number of ordered equations: 162
% Current number of rules: 302
% New rule produced :
% [1163]
% quotient(j(t(eta(A),B)),j(eta(A))) -> t(eta(A),quotient(j(B),j(eta(A))))
% Current number of equations to process: 517
% Current number of ordered equations: 161
% Current number of rules: 303
% New rule produced :
% [1164]
% quotient(i(t(eta(A),B)),j(eta(A))) -> t(eta(A),quotient(i(B),j(eta(A))))
% Current number of equations to process: 517
% Current number of ordered equations: 160
% Current number of rules: 304
% New rule produced :
% [1165]
% quotient(j(eta(A)),j(t(eta(A),B))) -> t(eta(A),quotient(j(eta(A)),j(B)))
% Current number of equations to process: 517
% Current number of ordered equations: 159
% Current number of rules: 305
% New rule produced :
% [1166]
% quotient(j(eta(A)),i(t(eta(A),B))) -> t(eta(A),quotient(j(eta(A)),i(B)))
% Current number of equations to process: 517
% Current number of ordered equations: 158
% Current number of rules: 306
% New rule produced :
% [1167]
% difference(j(t(eta(A),B)),j(eta(A))) -> t(eta(A),difference(j(B),j(eta(A))))
% Current number of equations to process: 517
% Current number of ordered equations: 157
% Current number of rules: 307
% New rule produced :
% [1168]
% difference(i(t(eta(A),B)),j(eta(A))) -> t(eta(A),difference(i(B),j(eta(A))))
% Current number of equations to process: 517
% Current number of ordered equations: 156
% Current number of rules: 308
% New rule produced :
% [1169]
% difference(j(eta(A)),j(t(eta(A),B))) -> t(eta(A),difference(j(eta(A)),j(B)))
% Current number of equations to process: 517
% Current number of ordered equations: 155
% Current number of rules: 309
% New rule produced :
% [1170]
% difference(j(eta(A)),i(t(eta(A),B))) -> t(eta(A),difference(j(eta(A)),i(B)))
% Current number of equations to process: 517
% Current number of ordered equations: 154
% Current number of rules: 310
% New rule produced :
% [1171]
% t(eta(A),quotient(B,difference(eta(A),j(A)))) <-> quotient(t(eta(A),B),i(A))
% Current number of equations to process: 517
% Current number of ordered equations: 153
% Current number of rules: 311
% New rule produced :
% [1172]
% quotient(t(eta(A),B),i(A)) <-> t(eta(A),quotient(B,difference(eta(A),j(A))))
% Current number of equations to process: 517
% Current number of ordered equations: 152
% Current number of rules: 312
% New rule produced :
% [1173]
% difference(t(eta(A),B),i(A)) ->
% t(eta(A),difference(B,difference(eta(A),j(A))))
% Current number of equations to process: 517
% Current number of ordered equations: 151
% Current number of rules: 313
% New rule produced :
% [1174]
% quotient(quotient(eta(A),quotient(quotient(i(B),A),eta(A))),B) -> i(i(A))
% Current number of equations to process: 517
% Current number of ordered equations: 150
% Current number of rules: 314
% New rule produced :
% [1175]
% quotient(eta(A),quotient(eta(B),quotient(j(eta(A)),i(i(i(B)))))) -> i(i(B))
% Current number of equations to process: 516
% Current number of ordered equations: 150
% Current number of rules: 315
% New rule produced :
% [1176]
% t(eta(A),t(B,difference(eta(A),C))) <-> t(t(eta(A),B),quotient(C,eta(A)))
% Current number of equations to process: 516
% Current number of ordered equations: 149
% Current number of rules: 316
% New rule produced :
% [1177]
% t(t(eta(A),B),quotient(C,eta(A))) <-> t(eta(A),t(B,difference(eta(A),C)))
% Current number of equations to process: 516
% Current number of ordered equations: 148
% Current number of rules: 317
% New rule produced :
% [1178]
% t(eta(B),t(difference(eta(B),A),C)) -> t(quotient(A,eta(B)),t(eta(B),C))
% Current number of equations to process: 516
% Current number of ordered equations: 147
% Current number of rules: 318
% New rule produced :
% [1179] t(t(eta(A),B),j(t(eta(A),C))) -> t(eta(A),t(B,j(C)))
% Current number of equations to process: 516
% Current number of ordered equations: 146
% Current number of rules: 319
% New rule produced :
% [1180] t(j(t(eta(A),B)),t(eta(A),C)) -> t(eta(A),t(j(B),C))
% Current number of equations to process: 516
% Current number of ordered equations: 145
% Current number of rules: 320
% New rule produced :
% [1181] t(t(eta(A),B),i(t(eta(A),C))) -> t(eta(A),t(B,i(C)))
% Current number of equations to process: 516
% Current number of ordered equations: 144
% Current number of rules: 321
% New rule produced :
% [1182] t(i(t(eta(A),B)),t(eta(A),C)) -> t(eta(A),t(i(B),C))
% Current number of equations to process: 516
% Current number of ordered equations: 143
% Current number of rules: 322
% New rule produced :
% [1183]
% quotient(difference(eta(A),quotient(eta(B),quotient(i(A),B))),A) ->
% difference(eta(A),B)
% Current number of equations to process: 516
% Current number of ordered equations: 142
% Current number of rules: 323
% New rule produced : [1184] quotient(A,j(quotient(i(A),j(eta(B))))) -> eta(B)
% Current number of equations to process: 516
% Current number of ordered equations: 141
% Current number of rules: 324
% New rule produced :
% [1185] t(eta(A),difference(t(eta(A),B),quotient(eta(A),i(B)))) -> eta(A)
% Current number of equations to process: 516
% Current number of ordered equations: 140
% Current number of rules: 325
% New rule produced :
% [1186] difference(t(t(A,eta(B)),A),quotient(A,j(eta(B)))) -> t(A,eta(B))
% Current number of equations to process: 516
% Current number of ordered equations: 139
% Current number of rules: 326
% New rule produced :
% [1187]
% t(eta(A),quotient(B,difference(eta(A),j(j(A))))) <-> quotient(t(eta(A),B),A)
% Current number of equations to process: 516
% Current number of ordered equations: 138
% Current number of rules: 327
% New rule produced :
% [1188]
% quotient(t(eta(A),B),A) <-> t(eta(A),quotient(B,difference(eta(A),j(j(A)))))
% Current number of equations to process: 516
% Current number of ordered equations: 137
% Current number of rules: 328
% New rule produced :
% [1189]
% difference(t(eta(A),B),A) ->
% t(eta(A),difference(B,difference(eta(A),j(j(A)))))
% Current number of equations to process: 516
% Current number of ordered equations: 136
% Current number of rules: 329
% New rule produced :
% [1190] quotient(quotient(eta(A),i(i(i(B)))),B) -> quotient(eta(A),j(eta(B)))
% Current number of equations to process: 515
% Current number of ordered equations: 135
% Current number of rules: 330
% New rule produced :
% [1191]
% quotient(quotient(quotient(eta(A),i(i(B))),j(B)),B) ->
% quotient(eta(A),i(i(B)))
% Current number of equations to process: 515
% Current number of ordered equations: 134
% Current number of rules: 331
% New rule produced :
% [1192]
% difference(quotient(eta(A),quotient(i(B),A)),j(j(A))) ->
% quotient(difference(B,i(i(A))),A)
% Current number of equations to process: 516
% Current number of ordered equations: 133
% Current number of rules: 332
% Rule [550]
% quotient(difference(i(difference(A,B)),quotient(eta(A),i(difference(A,B)))),
% difference(A,B)) ->
% difference(A,quotient(quotient(quotient(eta(B),quotient(i(A),B)),eta(A)),A)) is composed into
% [550]
% quotient(difference(i(difference(A,B)),quotient(eta(A),i(difference(A,B)))),
% difference(A,B)) ->
% difference(A,quotient(quotient(eta(B),quotient(i(i(i(A))),B)),A))
% Rule [273]
% difference(eta(B),eta(A)) ->
% quotient(eta(quotient(quotient(quotient(eta(A),quotient(i(B),A)),eta(B)),B)),
% eta(B)) is composed into [273]
% difference(eta(B),eta(A)) ->
% quotient(eta(quotient(quotient(eta(A),quotient(
% i(
% i(i(B))),A)),B)),
% eta(B))
% New rule produced :
% [1193]
% quotient(quotient(eta(A),quotient(i(B),A)),eta(B)) ->
% quotient(eta(A),quotient(i(i(i(B))),A))
% Current number of equations to process: 519
% Current number of ordered equations: 129
% Current number of rules: 333
% New rule produced :
% [1194]
% difference(i(A),quotient(quotient(eta(A),B),i(A))) ->
% quotient(quotient(eta(A),quotient(B,A)),i(A))
% Rule
% [277]
% difference(i(A),quotient(quotient(eta(A),i(B)),i(A))) ->
% quotient(quotient(eta(A),quotient(i(B),A)),i(A)) collapsed.
% Current number of equations to process: 519
% Current number of ordered equations: 121
% Current number of rules: 333
% New rule produced :
% [1195] difference(i(i(i(i(i(i(i(A))))))),eta(A)) -> i(i(i(i(i(i(A))))))
% Current number of equations to process: 519
% Current number of ordered equations: 120
% Current number of rules: 334
% New rule produced :
% [1196]
% quotient(quotient(eta(A),i(quotient(eta(A),quotient(i(B),A)))),B) -> i(i(A))
% Current number of equations to process: 519
% Current number of ordered equations: 119
% Current number of rules: 335
% New rule produced :
% [1197]
% t(j(A),difference(eta(A),B)) ->
% quotient(quotient(eta(A),quotient(i(B),i(A))),j(A))
% Current number of equations to process: 519
% Current number of ordered equations: 118
% Current number of rules: 336
% New rule produced :
% [1198] quotient(quotient(eta(A),quotient(i(B),j(j(A)))),B) -> j(j(A))
% Current number of equations to process: 536
% Current number of ordered equations: 118
% Current number of rules: 337
% New rule produced :
% [1199]
% quotient(quotient(eta(A),quotient(i(B),A)),eta(C)) <->
% quotient(eta(A),quotient(i(quotient(B,eta(C))),A))
% Rule
% [1193]
% quotient(quotient(eta(A),quotient(i(B),A)),eta(B)) ->
% quotient(eta(A),quotient(i(i(i(B))),A)) collapsed.
% Current number of equations to process: 546
% Current number of ordered equations: 116
% Current number of rules: 337
% New rule produced :
% [1200]
% quotient(eta(A),quotient(i(quotient(B,eta(C))),A)) <->
% quotient(quotient(eta(A),quotient(i(B),A)),eta(C))
% Current number of equations to process: 546
% Current number of ordered equations: 115
% Current number of rules: 338
% New rule produced :
% [1201]
% i(quotient(i(t(A,i(quotient(A,j(A))))),eta(A))) -> quotient(i(i(i(A))),A)
% Current number of equations to process: 545
% Current number of ordered equations: 115
% Current number of rules: 339
% New rule produced :
% [1202]
% t(eta(A),difference(j(eta(A)),difference(eta(A),B))) ->
% difference(j(eta(A)),quotient(B,eta(A)))
% Current number of equations to process: 545
% Current number of ordered equations: 113
% Current number of rules: 340
% New rule produced :
% [1203]
% t(eta(A),quotient(j(B),difference(eta(A),C))) <->
% quotient(j(t(eta(A),B)),quotient(C,eta(A)))
% Current number of equations to process: 545
% Current number of ordered equations: 112
% Current number of rules: 341
% New rule produced :
% [1204]
% quotient(j(t(eta(A),B)),quotient(C,eta(A))) <->
% t(eta(A),quotient(j(B),difference(eta(A),C)))
% Current number of equations to process: 545
% Current number of ordered equations: 111
% Current number of rules: 342
% New rule produced :
% [1205]
% t(eta(A),quotient(i(B),difference(eta(A),C))) <->
% quotient(i(t(eta(A),B)),quotient(C,eta(A)))
% Current number of equations to process: 545
% Current number of ordered equations: 110
% Current number of rules: 343
% New rule produced :
% [1206]
% quotient(i(t(eta(A),B)),quotient(C,eta(A))) <->
% t(eta(A),quotient(i(B),difference(eta(A),C)))
% Current number of equations to process: 545
% Current number of ordered equations: 109
% Current number of rules: 344
% New rule produced :
% [1207]
% difference(j(t(eta(A),B)),quotient(C,eta(A))) ->
% t(eta(A),difference(j(B),difference(eta(A),C)))
% Current number of equations to process: 545
% Current number of ordered equations: 108
% Current number of rules: 345
% New rule produced :
% [1208]
% difference(i(t(eta(A),B)),quotient(C,eta(A))) ->
% t(eta(A),difference(i(B),difference(eta(A),C)))
% Current number of equations to process: 545
% Current number of ordered equations: 107
% Current number of rules: 346
% New rule produced :
% [1209]
% difference(eta(A),quotient(quotient(eta(A),j(eta(B))),i(i(B)))) -> i(i(i(B)))
% Current number of equations to process: 545
% Current number of ordered equations: 106
% Current number of rules: 347
% New rule produced :
% [1210]
% quotient(quotient(eta(A),quotient(j(B),A)),eta(B)) ->
% quotient(eta(A),quotient(i(B),A))
% Current number of equations to process: 548
% Current number of ordered equations: 105
% Current number of rules: 348
% Rule [1100]
% quotient(t(eta(A),difference(B,eta(A))),A) <->
% i(quotient(difference(i(A),quotient(eta(t(eta(A),B)),quotient(i(A),
% t(eta(A),B)))),A)) is composed into
% [1100]
% quotient(t(eta(A),difference(B,eta(A))),A) ->
% i(quotient(eta(A),quotient(i(t(eta(A),B)),A)))
% Rule [560]
% difference(i(A),quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B)))
% <->
% quotient(quotient(difference(i(A),quotient(eta(quotient(difference(
% i(B),quotient(
% eta(C),
% quotient(
% i(quotient(
% eta(
% i(A)),
% quotient(
% i(B),
% i(A)))),C))),B)),
% quotient(i(A),quotient(difference(
% i(B),quotient(
% eta(C),
% quotient(
% i(
% quotient(
% eta(
% i(A)),
% quotient(
% i(B),
% i(A)))),C))),B)))),A),
% i(A)) is composed into [560]
% difference(i(A),quotient(quotient(eta(A),i(B)),
% quotient(difference(C,B),B))) <->
% quotient(quotient(eta(A),quotient(i(quotient(
% difference(
% i(B),
% quotient(
% eta(C),
% quotient(
% i(quotient(
% eta(
% i(A)),
% quotient(
% i(B),
% i(A)))),C))),B)),A)),
% i(A))
% New rule produced :
% [1211]
% quotient(difference(i(A),quotient(eta(B),quotient(i(A),B))),A) ->
% quotient(eta(A),quotient(i(B),A))
% Rule
% [1119]
% quotient(difference(i(A),quotient(eta(quotient(eta(A),i(B))),quotient(
% i(A),quotient(
% eta(A),
% i(B))))),A)
% -> quotient(eta(A),quotient(i(B),j(j(A)))) collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% quotient(eta(x0),quotient(i(quotient(eta(x0),quotient(eta(x1),quotient(
% i(x0),x1)))),x0)) =
% j(x1)
%
% Current number of equations to process: 549
% Current number of ordered equations: 104
% Current number of rules: 348
% New rule produced :
% [1212]
% quotient(eta(A),quotient(i(quotient(eta(A),i(B))),A)) ->
% quotient(eta(A),quotient(i(B),j(j(A))))
% Current number of equations to process: 548
% Current number of ordered equations: 104
% Current number of rules: 349
% New rule produced :
% [1213]
% difference(quotient(eta(A),quotient(i(B),A)),t(A,B)) ->
% quotient(difference(A,t(A,B)),t(A,B))
% Current number of equations to process: 548
% Current number of ordered equations: 103
% Current number of rules: 350
% New rule produced :
% [1214] difference(t(t(j(eta(A)),A),j(eta(A))),j(j(A))) -> t(j(eta(A)),A)
% Current number of equations to process: 548
% Current number of ordered equations: 102
% Current number of rules: 351
% New rule produced :
% [1215]
% quotient(quotient(quotient(eta(A),i(B)),quotient(C,B)),quotient(B,C)) ->
% quotient(eta(A),i(B))
% Current number of equations to process: 548
% Current number of ordered equations: 101
% Current number of rules: 352
% New rule produced :
% [1216]
% quotient(quotient(eta(A),quotient(i(i(i(A))),A)),j(j(A))) -> j(j(j(j(A))))
% Current number of equations to process: 548
% Current number of ordered equations: 100
% Current number of rules: 353
% New rule produced :
% [1217]
% quotient(quotient(eta(A),i(quotient(eta(A),quotient(i(B),j(j(A)))))),B) -> A
% Current number of equations to process: 547
% Current number of ordered equations: 100
% Current number of rules: 354
% Rule [550]
% quotient(difference(i(difference(A,B)),quotient(eta(A),i(difference(A,B)))),
% difference(A,B)) ->
% difference(A,quotient(quotient(eta(B),quotient(i(i(i(A))),B)),A)) is composed into
% [550]
% quotient(difference(i(difference(A,B)),quotient(eta(A),i(difference(A,B)))),
% difference(A,B)) -> difference(A,quotient(eta(B),quotient(j(eta(A)),B)))
% Rule [273]
% difference(eta(B),eta(A)) ->
% quotient(eta(quotient(quotient(eta(A),quotient(i(i(i(B))),A)),B)),
% eta(B)) is composed into [273]
% difference(eta(B),eta(A)) ->
% quotient(eta(quotient(eta(A),quotient(j(eta(B)),A))),
% eta(B))
% New rule produced :
% [1218]
% quotient(quotient(eta(A),quotient(i(i(i(B))),A)),B) ->
% quotient(eta(A),quotient(j(eta(B)),A))
% Current number of equations to process: 546
% Current number of ordered equations: 100
% Current number of rules: 355
% New rule produced :
% [1219]
% quotient(difference(B,quotient(eta(B),quotient(i(A),j(j(B))))),A) -> eta(B)
% Current number of equations to process: 546
% Current number of ordered equations: 99
% Current number of rules: 356
% New rule produced :
% [1220]
% quotient(quotient(quotient(eta(C),i(quotient(eta(A),quotient(i(B),A)))),B),A)
% -> eta(C)
% Current number of equations to process: 546
% Current number of ordered equations: 98
% Current number of rules: 357
% New rule produced :
% [1221]
% quotient(quotient(C,eta(A)),t(eta(A),difference(B,difference(eta(A),C)))) ->
% t(eta(A),B)
% Current number of equations to process: 546
% Current number of ordered equations: 96
% Current number of rules: 358
% New rule produced :
% [1222]
% t(eta(A),quotient(B,difference(eta(A),quotient(C,j(eta(A)))))) <->
% quotient(t(eta(A),B),C)
% Current number of equations to process: 546
% Current number of ordered equations: 95
% Current number of rules: 359
% New rule produced :
% [1223]
% quotient(t(eta(A),B),C) <->
% t(eta(A),quotient(B,difference(eta(A),quotient(C,j(eta(A))))))
% Current number of equations to process: 546
% Current number of ordered equations: 94
% Current number of rules: 360
% New rule produced :
% [1224]
% difference(t(eta(A),B),C) ->
% t(eta(A),difference(B,difference(eta(A),quotient(C,j(eta(A))))))
% Rule [177] difference(t(eta(A),B),t(eta(A),C)) -> t(eta(A),difference(B,C))
% collapsed.
% Rule [244] difference(t(eta(A),B),eta(A)) -> t(eta(A),difference(B,eta(A)))
% collapsed.
% Rule
% [259] difference(t(eta(A),B),j(eta(A))) -> t(eta(A),difference(B,j(eta(A))))
% collapsed.
% Rule
% [311]
% difference(t(eta(A),B),quotient(C,eta(A))) ->
% t(eta(A),difference(B,difference(eta(A),C))) collapsed.
% Rule
% [923] difference(t(eta(A),B),j(t(eta(A),C))) -> t(eta(A),difference(B,j(C)))
% collapsed.
% Rule
% [928] difference(t(eta(A),B),i(t(eta(A),C))) -> t(eta(A),difference(B,i(C)))
% collapsed.
% Rule
% [1088]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(t(
% eta(B),
% quotient(
% eta(B),
% i(C))),A),A),A)))
% <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(
% t(eta(B),C),
% quotient(
% difference(
% i(difference(
% eta(B),A)),A),
% difference(
% eta(B),A))),
% eta(B)),A),A)))
% collapsed.
% Rule
% [1089]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(
% t(eta(B),C),
% quotient(
% difference(
% i(difference(
% eta(B),A)),A),
% difference(
% eta(B),A))),
% eta(B)),A),A))) <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(t(
% eta(B),
% quotient(
% eta(B),
% i(C))),A),A),A)))
% collapsed.
% Rule
% [1154] difference(t(eta(A),B),i(i(i(i(A))))) -> t(eta(A),difference(B,A))
% collapsed.
% Rule
% [1173]
% difference(t(eta(A),B),i(A)) ->
% t(eta(A),difference(B,difference(eta(A),j(A)))) collapsed.
% Rule [1185] t(eta(A),difference(t(eta(A),B),quotient(eta(A),i(B)))) -> eta(A)
% collapsed.
% Rule
% [1189]
% difference(t(eta(A),B),A) ->
% t(eta(A),difference(B,difference(eta(A),j(j(A))))) collapsed.
% Current number of equations to process: 549
% Current number of ordered equations: 74
% Current number of rules: 349
% New rule produced :
% [1225]
% quotient(quotient(eta(A),i(quotient(eta(A),quotient(i(B),i(A))))),B) ->
% i(i(i(A)))
% Current number of equations to process: 549
% Current number of ordered equations: 73
% Current number of rules: 350
% New rule produced :
% [1226]
% quotient(quotient(quotient(eta(A),j(eta(B))),i(i(B))),i(B)) ->
% quotient(eta(A),j(eta(B)))
% Current number of equations to process: 549
% Current number of ordered equations: 72
% Current number of rules: 351
% New rule produced :
% [1227]
% quotient(quotient(quotient(eta(A),B),quotient(difference(C,j(B)),j(B))),C) ->
% quotient(eta(A),B)
% Current number of equations to process: 549
% Current number of ordered equations: 71
% Current number of rules: 352
% New rule produced :
% [1228]
% difference(eta(A),quotient(quotient(eta(A),i(B)),j(B))) ->
% quotient(eta(B),t(B,i(quotient(B,j(B)))))
% Current number of equations to process: 549
% Current number of ordered equations: 70
% Current number of rules: 353
% New rule produced :
% [1229]
% difference(eta(A),quotient(t(eta(A),B),quotient(C,eta(A)))) ->
% quotient(quotient(B,difference(eta(A),C)),eta(A))
% Current number of equations to process: 549
% Current number of ordered equations: 69
% Current number of rules: 354
% New rule produced :
% [1230]
% difference(eta(A),quotient(quotient(B,eta(A)),t(eta(A),C))) ->
% quotient(quotient(difference(eta(A),B),C),eta(A))
% Current number of equations to process: 549
% Current number of ordered equations: 68
% Current number of rules: 355
% New rule produced :
% [1231]
% quotient(difference(difference(eta(A),B),C),eta(A)) ->
% difference(eta(A),difference(quotient(B,eta(A)),t(eta(A),C)))
% Current number of equations to process: 549
% Current number of ordered equations: 66
% Current number of rules: 356
% New rule produced :
% [1232]
% difference(eta(A),quotient(quotient(eta(A),i(B)),quotient(C,B))) ->
% quotient(eta(B),quotient(i(quotient(B,C)),B))
% Rule
% [341]
% difference(eta(A),quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B)))
% -> quotient(eta(B),quotient(i(C),B)) collapsed.
% Current number of equations to process: 549
% Current number of ordered equations: 60
% Current number of rules: 356
% New rule produced :
% [1233] quotient(eta(C),quotient(i(difference(C,B)),C)) -> B
% Current number of equations to process: 547
% Current number of ordered equations: 60
% Current number of rules: 357
% New rule produced :
% [1234] quotient(i(i(i(A))),difference(B,i(A))) -> quotient(eta(A),i(B))
% Current number of equations to process: 547
% Current number of ordered equations: 60
% Current number of rules: 358
% New rule produced :
% [1235]
% quotient(quotient(eta(A),i(B)),quotient(B,C)) ->
% quotient(eta(A),i(t(quotient(B,C),C)))
% Current number of equations to process: 548
% Current number of ordered equations: 60
% Current number of rules: 359
% Rule [1117]
% quotient(eta(quotient(eta(A),i(B))),quotient(i(C),quotient(eta(A),i(B))))
% <-> quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B)) is composed into
% [1117]
% quotient(eta(quotient(eta(A),i(B))),quotient(i(C),quotient(eta(A),i(B)))) <->
% quotient(eta(A),i(quotient(B,quotient(difference(C,B),B))))
% New rule produced :
% [1236] quotient(quotient(eta(A),i(B)),C) -> quotient(eta(A),i(quotient(B,C)))
% Rule
% [316]
% quotient(quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B)),C) ->
% quotient(eta(A),i(B)) collapsed.
% Rule
% [321]
% quotient(quotient(eta(A),i(quotient(eta(B),quotient(quotient(i(C),B),eta(B))))),C)
% -> quotient(eta(A),i(i(i(B)))) collapsed.
% Rule
% [418]
% quotient(quotient(eta(A),i(quotient(difference(i(B),quotient(quotient(
% eta(quotient(
% eta(A),
% i(B))),
% i(C)),quotient(
% difference(B,C),C))),B))),C)
% -> j(j(quotient(eta(A),i(B)))) collapsed.
% Rule
% [485]
% quotient(quotient(eta(A),i(B)),difference(C,B)) -> quotient(eta(A),i(C))
% collapsed.
% Rule
% [510]
% quotient(quotient(quotient(eta(A),i(B)),quotient(difference(i(i(C)),B),B)),C)
% -> quotient(quotient(eta(A),i(B)),quotient(difference(eta(C),B),B))
% collapsed.
% Rule
% [522]
% difference(A,quotient(quotient(eta(A),i(B)),A)) ->
% quotient(quotient(eta(j(A)),quotient(i(B),j(A))),A) collapsed.
% Rule
% [560]
% difference(i(A),quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B)))
% <->
% quotient(quotient(eta(A),quotient(i(quotient(difference(i(B),quotient(
% eta(C),quotient(
% i(
% quotient(
% eta(
% i(A)),
% quotient(
% i(B),
% i(A)))),C))),B)),A)),
% i(A)) collapsed.
% Rule
% [651]
% t(A,quotient(quotient(eta(B),i(C)),quotient(difference(A,C),C))) ->
% t(A,quotient(eta(B),i(quotient(eta(C),quotient(i(A),C))))) collapsed.
% Rule
% [654]
% difference(quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B)),
% quotient(quotient(eta(A),i(B)),quotient(difference(V_3,B),B))) ->
% quotient(difference(C,quotient(eta(V_3),quotient(i(quotient(eta(A),i(B))),V_3))),
% quotient(eta(A),i(B))) collapsed.
% Rule
% [1118]
% quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B)) <->
% quotient(eta(quotient(eta(A),i(B))),quotient(i(C),quotient(eta(A),i(B))))
% collapsed.
% Rule [1123] quotient(quotient(eta(A),i(B)),B) -> eta(A) collapsed.
% Rule
% [1141]
% quotient(quotient(quotient(eta(A),i(B)),j(B)),B) -> quotient(eta(A),i(B))
% collapsed.
% Rule
% [1155] difference(eta(A),quotient(quotient(eta(A),i(i(B))),j(B))) -> eta(B)
% collapsed.
% Rule
% [1190] quotient(quotient(eta(A),i(i(i(B)))),B) -> quotient(eta(A),j(eta(B)))
% collapsed.
% Rule
% [1191]
% quotient(quotient(quotient(eta(A),i(i(B))),j(B)),B) ->
% quotient(eta(A),i(i(B))) collapsed.
% Rule
% [1196]
% quotient(quotient(eta(A),i(quotient(eta(A),quotient(i(B),A)))),B) -> i(i(A))
% collapsed.
% Rule
% [1215]
% quotient(quotient(quotient(eta(A),i(B)),quotient(C,B)),quotient(B,C)) ->
% quotient(eta(A),i(B)) collapsed.
% Rule
% [1217]
% quotient(quotient(eta(A),i(quotient(eta(A),quotient(i(B),j(j(A)))))),B) -> A
% collapsed.
% Rule
% [1220]
% quotient(quotient(quotient(eta(C),i(quotient(eta(A),quotient(i(B),A)))),B),A)
% -> eta(C) collapsed.
% Rule
% [1225]
% quotient(quotient(eta(A),i(quotient(eta(A),quotient(i(B),i(A))))),B) ->
% i(i(i(A))) collapsed.
% Rule
% [1228]
% difference(eta(A),quotient(quotient(eta(A),i(B)),j(B))) ->
% quotient(eta(B),t(B,i(quotient(B,j(B))))) collapsed.
% Rule
% [1232]
% difference(eta(A),quotient(quotient(eta(A),i(B)),quotient(C,B))) ->
% quotient(eta(B),quotient(i(quotient(B,C)),B)) collapsed.
% Rule
% [1235]
% quotient(quotient(eta(A),i(B)),quotient(B,C)) ->
% quotient(eta(A),i(t(quotient(B,C),C))) collapsed.
% Current number of equations to process: 559
% Current number of ordered equations: 54
% Current number of rules: 337
% New rule produced :
% [1237]
% quotient(eta(quotient(eta(A),i(B))),quotient(i(C),quotient(eta(A),i(B)))) ->
% quotient(eta(A),i(quotient(eta(B),quotient(i(C),B))))
% Rule
% [1117]
% quotient(eta(quotient(eta(A),i(B))),quotient(i(C),quotient(eta(A),i(B)))) <->
% quotient(eta(A),i(quotient(B,quotient(difference(C,B),B)))) collapsed.
% Current number of equations to process: 558
% Current number of ordered equations: 54
% Current number of rules: 337
% New rule produced :
% [1238] difference(A,quotient(eta(A),j(eta(A)))) -> j(j(j(A)))
% Rule
% [590]
% quotient(difference(A,quotient(eta(A),j(eta(A)))),A) ->
% difference(A,i(i(i(A)))) collapsed.
% Rule
% [598]
% quotient(difference(A,quotient(eta(A),j(eta(A)))),j(A)) -> t(j(A),eta(A))
% collapsed.
% Current number of equations to process: 561
% Current number of ordered equations: 54
% Current number of rules: 336
% New rule produced : [1239] difference(A,i(i(i(A)))) -> quotient(j(j(j(A))),A)
% Rule [502] difference(i(A),i(i(i(i(A))))) -> quotient(j(j(A)),i(A))
% collapsed.
% Current number of equations to process: 560
% Current number of ordered equations: 54
% Current number of rules: 336
% New rule produced : [1240] t(j(A),eta(A)) -> j(eta(A))
% Rule [943] difference(t(j(A),eta(A)),j(j(j(A)))) -> j(A) collapsed.
% Current number of equations to process: 560
% Current number of ordered equations: 54
% Current number of rules: 336
% New rule produced : [1241] difference(j(eta(A)),j(j(j(A)))) -> j(A)
% Current number of equations to process: 559
% Current number of ordered equations: 54
% Current number of rules: 337
% New rule produced :
% [1242] difference(i(i(A)),quotient(eta(A),j(eta(A)))) -> j(A)
% Current number of equations to process: 558
% Current number of ordered equations: 54
% Current number of rules: 338
% New rule produced :
% [1243]
% difference(quotient(eta(A),i(B)),quotient(eta(A),i(C))) -> difference(B,C)
% Current number of equations to process: 558
% Current number of ordered equations: 54
% Current number of rules: 339
% New rule produced :
% [1244] quotient(eta(A),j(quotient(j(eta(A)),j(eta(B))))) -> eta(B)
% Current number of equations to process: 564
% Current number of ordered equations: 54
% Current number of rules: 340
% New rule produced :
% [1245] quotient(quotient(eta(A),j(eta(A))),j(j(j(A)))) -> A
% Current number of equations to process: 568
% Current number of ordered equations: 54
% Current number of rules: 341
% New rule produced :
% [1246] difference(i(i(i(i(A)))),quotient(eta(A),j(eta(A)))) -> i(A)
% Current number of equations to process: 568
% Current number of ordered equations: 54
% Current number of rules: 342
% New rule produced :
% [1247]
% difference(quotient(eta(A),j(eta(A))),i(A)) ->
% quotient(difference(j(j(A)),i(A)),i(A))
% Current number of equations to process: 572
% Current number of ordered equations: 54
% Current number of rules: 343
% New rule produced :
% [1248] difference(quotient(eta(A),i(i(B))),quotient(eta(A),j(eta(B)))) -> B
% Current number of equations to process: 571
% Current number of ordered equations: 54
% Current number of rules: 344
% New rule produced :
% [1249]
% quotient(eta(A),i(i(t(eta(A),B)))) -> t(eta(A),quotient(eta(A),i(i(B))))
% Current number of equations to process: 570
% Current number of ordered equations: 54
% Current number of rules: 345
% New rule produced :
% [1250] quotient(i(i(i(i(A)))),A) -> quotient(eta(A),j(eta(A)))
% Current number of equations to process: 575
% Current number of ordered equations: 54
% Current number of rules: 346
% New rule produced :
% [1251] quotient(i(i(A)),j(j(A))) -> quotient(eta(A),j(eta(A)))
% Current number of equations to process: 574
% Current number of ordered equations: 54
% Current number of rules: 347
% New rule produced :
% [1252] difference(quotient(eta(A),j(eta(A))),i(i(i(A)))) -> j(A)
% Current number of equations to process: 575
% Current number of ordered equations: 54
% Current number of rules: 348
% New rule produced :
% [1253] quotient(difference(quotient(A,j(A)),j(j(A))),eta(A)) -> j(A)
% Current number of equations to process: 581
% Current number of ordered equations: 54
% Current number of rules: 349
% Rule [1148]
% difference(i(quotient(j(A),j(j(A)))),eta(A)) -> quotient(i(A),j(j(A))) is composed into
% [1148]
% difference(i(quotient(j(A),j(j(A)))),eta(A)) ->
% quotient(eta(A),i(quotient(j(A),j(j(A)))))
% New rule produced :
% [1254] quotient(i(A),j(j(A))) -> quotient(eta(A),i(quotient(j(A),j(j(A)))))
% Current number of equations to process: 582
% Current number of ordered equations: 54
% Current number of rules: 350
% Rule [1201]
% i(quotient(i(t(A,i(quotient(A,j(A))))),eta(A))) ->
% quotient(i(i(i(A))),A) is composed into [1201]
% i(quotient(i(t(A,i(quotient(A,
% j(A))))),
% eta(A))) ->
% quotient(eta(A),i(t(A,i(
% quotient(A,
% j(A))))))
% New rule produced :
% [1255] quotient(i(i(i(A))),A) -> quotient(eta(A),i(t(A,i(quotient(A,j(A))))))
% Rule
% [1216]
% quotient(quotient(eta(A),quotient(i(i(i(A))),A)),j(j(A))) -> j(j(j(j(A))))
% collapsed.
% Current number of equations to process: 583
% Current number of ordered equations: 54
% Current number of rules: 350
% New rule produced : [1256] t(i(i(i(A))),eta(A)) -> t(i(A),eta(A))
% Rule [1135] difference(t(i(i(i(A))),eta(A)),i(A)) -> i(i(i(A))) collapsed.
% Current number of equations to process: 585
% Current number of ordered equations: 54
% Current number of rules: 350
% New rule produced : [1257] difference(t(i(A),eta(A)),i(A)) -> i(i(i(A)))
% Current number of equations to process: 584
% Current number of ordered equations: 54
% Current number of rules: 351
% New rule produced :
% [1258]
% difference(A,quotient(eta(A),i(t(A,B)))) ->
% quotient(quotient(quotient(B,A),j(A)),A)
% Current number of equations to process: 588
% Current number of ordered equations: 54
% Current number of rules: 352
% New rule produced :
% [1259] difference(j(eta(A)),t(j(eta(A)),B)) -> quotient(B,j(eta(A)))
% Current number of equations to process: 588
% Current number of ordered equations: 54
% Current number of rules: 353
% New rule produced :
% [1260]
% t(eta(A),quotient(eta(A),i(difference(eta(A),B)))) ->
% quotient(eta(A),i(quotient(B,eta(A))))
% Current number of equations to process: 588
% Current number of ordered equations: 54
% Current number of rules: 354
% New rule produced :
% [1261]
% difference(A,quotient(eta(A),i(quotient(B,A)))) ->
% quotient(quotient(eta(A),quotient(i(B),j(A))),A)
% Current number of equations to process: 587
% Current number of ordered equations: 54
% Current number of rules: 355
% New rule produced :
% [1262]
% quotient(i(i(i(A))),quotient(eta(A),j(eta(A)))) ->
% t(quotient(eta(A),j(eta(A))),j(A))
% Current number of equations to process: 586
% Current number of ordered equations: 54
% Current number of rules: 356
% New rule produced :
% [1263]
% quotient(eta(A),i(quotient(quotient(eta(A),quotient(i(B),i(A))),B))) ->
% i(i(i(A)))
% Current number of equations to process: 594
% Current number of ordered equations: 54
% Current number of rules: 357
% New rule produced :
% [1264] quotient(eta(B),t(B,i(quotient(B,j(B))))) -> quotient(B,j(B))
% Current number of equations to process: 593
% Current number of ordered equations: 54
% Current number of rules: 358
% New rule produced :
% [1265]
% quotient(quotient(eta(A),j(eta(A))),i(i(i(i(A))))) -> t(i(i(i(i(A)))),i(A))
% Current number of equations to process: 592
% Current number of ordered equations: 54
% Current number of rules: 359
% New rule produced :
% [1266]
% quotient(eta(B),quotient(i(quotient(B,C)),B)) -> quotient(B,quotient(C,B))
% Current number of equations to process: 592
% Current number of ordered equations: 54
% Current number of rules: 360
% New rule produced :
% [1267]
% quotient(quotient(eta(A),j(eta(B))),quotient(eta(A),i(i(B)))) ->
% t(quotient(eta(A),i(i(B))),B)
% Current number of equations to process: 590
% Current number of ordered equations: 54
% Current number of rules: 361
% New rule produced :
% [1268]
% difference(t(quotient(eta(A),j(eta(A))),j(A)),i(i(i(A)))) ->
% quotient(eta(A),j(eta(A)))
% Current number of equations to process: 589
% Current number of ordered equations: 54
% Current number of rules: 362
% New rule produced :
% [1269]
% quotient(difference(j(eta(A)),quotient(eta(A),j(eta(A)))),eta(A)) ->
% i(i(quotient(eta(A),j(eta(A)))))
% Current number of equations to process: 588
% Current number of ordered equations: 54
% Current number of rules: 363
% New rule produced :
% [1270]
% t(eta(A),quotient(eta(B),quotient(j(eta(A)),B))) -> quotient(eta(A),i(B))
% Current number of equations to process: 587
% Current number of ordered equations: 54
% Current number of rules: 364
% New rule produced :
% [1271]
% quotient(difference(A,quotient(eta(B),quotient(A,B))),j(A)) ->
% quotient(eta(A),quotient(i(B),j(A)))
% Current number of equations to process: 587
% Current number of ordered equations: 53
% Current number of rules: 365
% New rule produced :
% [1272]
% difference(i(i(i(A))),quotient(eta(A),i(quotient(eta(A),quotient(i(B),i(A))))))
% -> B
% Current number of equations to process: 586
% Current number of ordered equations: 53
% Current number of rules: 366
% New rule produced :
% [1273]
% quotient(quotient(A,i(quotient(eta(A),quotient(i(B),A)))),quotient(A,
% difference(B,
% eta(A)))) -> A
% Current number of equations to process: 586
% Current number of ordered equations: 52
% Current number of rules: 367
% New rule produced :
% [1274]
% difference(t(t(difference(A,B),B),difference(A,B)),difference(difference(B,A),B))
% -> t(difference(A,B),B)
% Current number of equations to process: 586
% Current number of ordered equations: 51
% Current number of rules: 368
% New rule produced :
% [1275]
% t(j(j(j(A))),difference(eta(A),B)) ->
% quotient(quotient(eta(A),quotient(i(B),j(A))),j(j(j(A))))
% Current number of equations to process: 586
% Current number of ordered equations: 50
% Current number of rules: 369
% New rule produced :
% [1276]
% difference(t(quotient(eta(A),i(B)),difference(B,C)),quotient(eta(A),i(C))) ->
% quotient(eta(A),i(B))
% Current number of equations to process: 585
% Current number of ordered equations: 50
% Current number of rules: 370
% New rule produced :
% [1277]
% quotient(quotient(A,quotient(eta(B),i(i(A)))),quotient(A,quotient(eta(B),
% j(eta(A))))) -> A
% Current number of equations to process: 584
% Current number of ordered equations: 50
% Current number of rules: 371
% New rule produced :
% [1278]
% difference(t(i(i(i(i(A)))),i(A)),quotient(eta(A),j(eta(A)))) -> i(i(i(i(A))))
% Current number of equations to process: 583
% Current number of ordered equations: 50
% Current number of rules: 372
% New rule produced :
% [1279]
% quotient(i(i(A)),quotient(eta(A),i(quotient(A,j(A))))) ->
% t(quotient(eta(A),i(quotient(A,j(A)))),j(A))
% Current number of equations to process: 582
% Current number of ordered equations: 50
% Current number of rules: 373
% New rule produced :
% [1280]
% t(i(A),quotient(quotient(quotient(B,i(A)),A),i(A))) ->
% quotient(eta(A),i(quotient(t(i(A),B),i(A))))
% Current number of equations to process: 580
% Current number of ordered equations: 51
% Current number of rules: 374
% New rule produced :
% [1281]
% difference(i(A),quotient(eta(A),i(quotient(B,i(A))))) ->
% quotient(quotient(quotient(difference(i(A),B),i(A)),A),i(A))
% Current number of equations to process: 580
% Current number of ordered equations: 50
% Current number of rules: 375
% New rule produced :
% [1282]
% quotient(difference(A,eta(B)),i(quotient(eta(B),quotient(i(A),B)))) ->
% t(i(quotient(eta(B),quotient(i(A),B))),B)
% Current number of equations to process: 580
% Current number of ordered equations: 49
% Current number of rules: 376
% New rule produced :
% [1283]
% t(eta(A),quotient(eta(A),quotient(B,difference(eta(A),C)))) <->
% quotient(eta(A),quotient(t(eta(A),B),quotient(C,eta(A))))
% Current number of equations to process: 580
% Current number of ordered equations: 48
% Current number of rules: 377
% New rule produced :
% [1284]
% quotient(eta(A),quotient(t(eta(A),B),quotient(C,eta(A)))) <->
% t(eta(A),quotient(eta(A),quotient(B,difference(eta(A),C))))
% Current number of equations to process: 580
% Current number of ordered equations: 47
% Current number of rules: 378
% New rule produced :
% [1285]
% t(eta(A),quotient(quotient(B,difference(eta(A),C)),eta(A))) <->
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),eta(A))
% Current number of equations to process: 580
% Current number of ordered equations: 46
% Current number of rules: 379
% New rule produced :
% [1286]
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),eta(A)) <->
% t(eta(A),quotient(quotient(B,difference(eta(A),C)),eta(A)))
% Current number of equations to process: 580
% Current number of ordered equations: 45
% Current number of rules: 380
% New rule produced :
% [1287]
% t(eta(A),quotient(eta(A),quotient(difference(eta(A),B),C))) ->
% quotient(eta(A),quotient(quotient(B,eta(A)),t(eta(A),C)))
% Current number of equations to process: 580
% Current number of ordered equations: 44
% Current number of rules: 381
% New rule produced :
% [1288]
% t(eta(B),quotient(quotient(difference(eta(B),A),C),eta(B))) ->
% quotient(quotient(quotient(A,eta(B)),t(eta(B),C)),eta(B))
% Current number of equations to process: 580
% Current number of ordered equations: 43
% Current number of rules: 382
% New rule produced :
% [1289]
% t(eta(A),quotient(eta(A),difference(difference(eta(A),B),C))) ->
% quotient(eta(A),difference(quotient(B,eta(A)),t(eta(A),C)))
% Current number of equations to process: 580
% Current number of ordered equations: 42
% Current number of rules: 383
% New rule produced :
% [1290]
% quotient(quotient(eta(A),quotient(i(t(eta(A),B)),A)),j(j(A))) ->
% t(j(j(A)),quotient(B,eta(A)))
% Current number of equations to process: 580
% Current number of ordered equations: 41
% Current number of rules: 384
% New rule produced :
% [1291]
% difference(t(quotient(eta(A),i(i(B))),B),quotient(eta(A),j(eta(B)))) ->
% quotient(eta(A),i(i(B)))
% Current number of equations to process: 579
% Current number of ordered equations: 41
% Current number of rules: 385
% New rule produced :
% [1292]
% quotient(quotient(j(A),quotient(eta(A),j(eta(A)))),quotient(j(A),i(i(i(A)))))
% -> j(A)
% Current number of equations to process: 578
% Current number of ordered equations: 41
% Current number of rules: 386
% New rule produced :
% [1293]
% difference(A,quotient(eta(B),quotient(i(quotient(C,A)),B))) ->
% quotient(quotient(eta(difference(A,B)),quotient(i(C),difference(A,B))),A)
% Current number of equations to process: 578
% Current number of ordered equations: 40
% Current number of rules: 387
% New rule produced :
% [1294]
% quotient(quotient(j(j(A)),i(A)),quotient(j(j(A)),quotient(eta(A),j(eta(A)))))
% -> j(j(A))
% Current number of equations to process: 577
% Current number of ordered equations: 40
% Current number of rules: 388
% New rule produced :
% [1295]
% t(A,quotient(eta(B),quotient(quotient(i(A),B),eta(B)))) ->
% t(A,quotient(eta(B),i(quotient(eta(B),quotient(i(A),B)))))
% Current number of equations to process: 577
% Current number of ordered equations: 39
% Current number of rules: 389
% New rule produced :
% [1296]
% difference(quotient(eta(quotient(A,B)),quotient(i(C),quotient(A,B))),A) ->
% quotient(difference(C,quotient(difference(i(B),A),B)),quotient(A,B))
% Current number of equations to process: 577
% Current number of ordered equations: 38
% Current number of rules: 390
% New rule produced :
% [1297]
% difference(quotient(eta(B),quotient(i(A),B)),B) ->
% quotient(difference(A,B),B)
% Current number of equations to process: 582
% Current number of ordered equations: 38
% Current number of rules: 391
% New rule produced :
% [1298]
% quotient(quotient(difference(i(difference(A,B)),B),difference(A,B)),A) ->
% difference(A,B)
% Current number of equations to process: 584
% Current number of ordered equations: 38
% Current number of rules: 392
% New rule produced :
% [1299]
% difference(j(quotient(i(A),eta(B))),i(i(B))) ->
% quotient(difference(A,j(j(B))),eta(B))
% Current number of equations to process: 587
% Current number of ordered equations: 38
% Current number of rules: 393
% New rule produced :
% [1300]
% difference(t(i(quotient(eta(A),quotient(i(B),A))),A),difference(B,eta(A))) ->
% i(quotient(eta(A),quotient(i(B),A)))
% Current number of equations to process: 602
% Current number of ordered equations: 37
% Current number of rules: 394
% New rule produced :
% [1301]
% difference(t(quotient(eta(A),i(quotient(A,j(A)))),j(A)),i(i(A))) ->
% quotient(eta(A),i(quotient(A,j(A))))
% Current number of equations to process: 601
% Current number of ordered equations: 37
% Current number of rules: 395
% New rule produced :
% [1302]
% quotient(quotient(j(A),quotient(eta(A),i(quotient(A,j(A))))),quotient(
% j(A),i(i(A))))
% -> j(A)
% Current number of equations to process: 600
% Current number of ordered equations: 37
% Current number of rules: 396
% New rule produced :
% [1303]
% difference(i(i(A)),quotient(eta(A),i(t(i(i(A)),B)))) ->
% quotient(quotient(quotient(B,i(i(A))),i(A)),i(i(A)))
% Current number of equations to process: 599
% Current number of ordered equations: 37
% Current number of rules: 397
% New rule produced :
% [1304]
% quotient(eta(A),i(quotient(t(i(A),B),quotient(quotient(quotient(B,i(A)),A),
% i(A))))) -> i(A)
% Current number of equations to process: 598
% Current number of ordered equations: 37
% Current number of rules: 398
% New rule produced :
% [1305]
% difference(quotient(eta(A),quotient(i(quotient(difference(i(difference(A,B)),B),
% difference(A,B))),A)),B) -> j(A)
% Current number of equations to process: 597
% Current number of ordered equations: 37
% Current number of rules: 399
% New rule produced :
% [1306]
% difference(A,quotient(eta(quotient(A,B)),quotient(i(quotient(B,j(B))),
% quotient(A,B)))) ->
% quotient(t(B,A),quotient(A,B))
% Current number of equations to process: 597
% Current number of ordered equations: 36
% Current number of rules: 400
% New rule produced :
% [1307]
% quotient(quotient(A,t(A,quotient(A,quotient(eta(B),quotient(i(A),B))))),
% t(quotient(A,B),B)) -> A
% Current number of equations to process: 596
% Current number of ordered equations: 36
% Current number of rules: 401
% New rule produced :
% [1308]
% difference(A,quotient(eta(quotient(A,j(A))),quotient(i(B),quotient(A,j(A)))))
% -> t(A,quotient(eta(B),quotient(i(A),B)))
% Current number of equations to process: 596
% Current number of ordered equations: 35
% Current number of rules: 402
% New rule produced :
% [1309]
% t(eta(A),quotient(eta(A),quotient(eta(B),quotient(j(eta(A)),B)))) ->
% t(eta(A),quotient(eta(A),quotient(B,j(eta(A)))))
% Current number of equations to process: 595
% Current number of ordered equations: 35
% Current number of rules: 403
% New rule produced :
% [1310]
% t(eta(A),quotient(quotient(B,difference(eta(A),C)),V_3)) <->
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),t(eta(A),V_3))
% Current number of equations to process: 595
% Current number of ordered equations: 34
% Current number of rules: 404
% New rule produced :
% [1311]
% t(eta(A),quotient(B,quotient(C,difference(eta(A),V_3)))) <->
% quotient(t(eta(A),B),quotient(t(eta(A),C),quotient(V_3,eta(A))))
% Current number of equations to process: 595
% Current number of ordered equations: 33
% Current number of rules: 405
% New rule produced :
% [1312]
% quotient(t(eta(A),B),quotient(t(eta(A),C),quotient(V_3,eta(A)))) <->
% t(eta(A),quotient(B,quotient(C,difference(eta(A),V_3))))
% Current number of equations to process: 595
% Current number of ordered equations: 32
% Current number of rules: 406
% New rule produced :
% [1313]
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),t(eta(A),V_3)) <->
% t(eta(A),quotient(quotient(B,difference(eta(A),C)),V_3))
% Current number of equations to process: 595
% Current number of ordered equations: 31
% Current number of rules: 407
% New rule produced :
% [1314]
% t(eta(A),quotient(quotient(B,difference(eta(A),C)),j(eta(A)))) <->
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),j(eta(A)))
% Current number of equations to process: 595
% Current number of ordered equations: 30
% Current number of rules: 408
% New rule produced :
% [1315]
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),j(eta(A))) <->
% t(eta(A),quotient(quotient(B,difference(eta(A),C)),j(eta(A))))
% Current number of equations to process: 595
% Current number of ordered equations: 29
% Current number of rules: 409
% New rule produced :
% [1316]
% t(eta(A),quotient(j(eta(A)),quotient(B,difference(eta(A),C)))) <->
% quotient(j(eta(A)),quotient(t(eta(A),B),quotient(C,eta(A))))
% Current number of equations to process: 595
% Current number of ordered equations: 28
% Current number of rules: 410
% New rule produced :
% [1317]
% quotient(j(eta(A)),quotient(t(eta(A),B),quotient(C,eta(A)))) <->
% t(eta(A),quotient(j(eta(A)),quotient(B,difference(eta(A),C))))
% Current number of equations to process: 595
% Current number of ordered equations: 27
% Current number of rules: 411
% New rule produced :
% [1318]
% t(eta(A),difference(j(eta(A)),quotient(B,difference(eta(A),C)))) <->
% difference(j(eta(A)),quotient(t(eta(A),B),quotient(C,eta(A))))
% Current number of equations to process: 595
% Current number of ordered equations: 26
% Current number of rules: 412
% New rule produced :
% [1319]
% difference(j(eta(A)),quotient(t(eta(A),B),quotient(C,eta(A)))) <->
% t(eta(A),difference(j(eta(A)),quotient(B,difference(eta(A),C))))
% Current number of equations to process: 595
% Current number of ordered equations: 25
% Current number of rules: 413
% New rule produced :
% [1320]
% t(eta(A),t(quotient(difference(eta(A),B),C),C)) ->
% t(quotient(quotient(B,eta(A)),t(eta(A),C)),t(eta(A),C))
% Current number of equations to process: 595
% Current number of ordered equations: 24
% Current number of rules: 414
% New rule produced :
% [1321]
% t(eta(A),quotient(B,quotient(difference(eta(A),C),V_3))) <->
% quotient(t(eta(A),B),quotient(quotient(C,eta(A)),t(eta(A),V_3)))
% Rule
% [1287]
% t(eta(A),quotient(eta(A),quotient(difference(eta(A),B),C))) ->
% quotient(eta(A),quotient(quotient(B,eta(A)),t(eta(A),C))) collapsed.
% Current number of equations to process: 595
% Current number of ordered equations: 22
% Current number of rules: 414
% New rule produced :
% [1322]
% t(eta(B),quotient(quotient(difference(eta(B),A),C),V_3)) ->
% quotient(quotient(quotient(A,eta(B)),t(eta(B),C)),t(eta(B),V_3))
% Rule
% [1288]
% t(eta(B),quotient(quotient(difference(eta(B),A),C),eta(B))) ->
% quotient(quotient(quotient(A,eta(B)),t(eta(B),C)),eta(B)) collapsed.
% Current number of equations to process: 595
% Current number of ordered equations: 20
% Current number of rules: 414
% New rule produced :
% [1323]
% quotient(t(eta(A),B),quotient(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),quotient(B,quotient(difference(eta(A),C),V_3)))
% Current number of equations to process: 595
% Current number of ordered equations: 19
% Current number of rules: 415
% New rule produced :
% [1324]
% t(eta(A),difference(j(eta(A)),quotient(difference(eta(A),B),C))) ->
% difference(j(eta(A)),quotient(quotient(B,eta(A)),t(eta(A),C)))
% Current number of equations to process: 595
% Current number of ordered equations: 18
% Current number of rules: 416
% New rule produced :
% [1325]
% t(eta(A),quotient(B,difference(eta(A),difference(difference(eta(A),C),eta(A)))))
% <-> quotient(t(eta(A),B),difference(C,eta(A)))
% Current number of equations to process: 595
% Current number of ordered equations: 17
% Current number of rules: 417
% New rule produced :
% [1326]
% quotient(t(eta(A),B),difference(C,eta(A))) <->
% t(eta(A),quotient(B,difference(eta(A),difference(difference(eta(A),C),eta(A)))))
% Current number of equations to process: 595
% Current number of ordered equations: 16
% Current number of rules: 418
% New rule produced :
% [1327]
% t(eta(A),quotient(B,difference(difference(eta(A),C),V_3))) <->
% quotient(t(eta(A),B),difference(quotient(C,eta(A)),t(eta(A),V_3)))
% Rule
% [1289]
% t(eta(A),quotient(eta(A),difference(difference(eta(A),B),C))) ->
% quotient(eta(A),difference(quotient(B,eta(A)),t(eta(A),C))) collapsed.
% Current number of equations to process: 595
% Current number of ordered equations: 14
% Current number of rules: 418
% New rule produced :
% [1328]
% t(eta(B),quotient(difference(difference(eta(B),A),C),V_3)) ->
% quotient(difference(quotient(A,eta(B)),t(eta(B),C)),t(eta(B),V_3))
% Current number of equations to process: 595
% Current number of ordered equations: 12
% Current number of rules: 419
% New rule produced :
% [1329]
% quotient(t(eta(A),B),difference(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),quotient(B,difference(difference(eta(A),C),V_3)))
% Current number of equations to process: 595
% Current number of ordered equations: 11
% Current number of rules: 420
% New rule produced :
% [1330]
% t(eta(A),difference(j(eta(A)),difference(difference(eta(A),B),C))) ->
% difference(j(eta(A)),difference(quotient(B,eta(A)),t(eta(A),C)))
% Current number of equations to process: 595
% Current number of ordered equations: 10
% Current number of rules: 421
% New rule produced :
% [1331]
% quotient(eta(B),quotient(i(t(quotient(B,C),C)),B)) ->
% quotient(B,t(B,quotient(B,quotient(eta(C),quotient(i(B),C)))))
% Current number of equations to process: 593
% Current number of ordered equations: 10
% Current number of rules: 422
% New rule produced :
% [1332]
% t(eta(A),t(quotient(B,difference(eta(A),C)),V_3)) <->
% t(quotient(t(eta(A),B),quotient(C,eta(A))),t(eta(A),V_3))
% Current number of equations to process: 593
% Current number of ordered equations: 9
% Current number of rules: 423
% New rule produced :
% [1333]
% t(eta(A),t(B,quotient(C,difference(eta(A),V_3)))) <->
% t(t(eta(A),B),quotient(t(eta(A),C),quotient(V_3,eta(A))))
% Current number of equations to process: 593
% Current number of ordered equations: 8
% Current number of rules: 424
% New rule produced :
% [1334]
% t(t(eta(A),B),quotient(t(eta(A),C),quotient(V_3,eta(A)))) <->
% t(eta(A),t(B,quotient(C,difference(eta(A),V_3))))
% Current number of equations to process: 593
% Current number of ordered equations: 7
% Current number of rules: 425
% New rule produced :
% [1335]
% t(quotient(t(eta(A),B),quotient(C,eta(A))),t(eta(A),V_3)) <->
% t(eta(A),t(quotient(B,difference(eta(A),C)),V_3))
% Current number of equations to process: 593
% Current number of ordered equations: 6
% Current number of rules: 426
% New rule produced :
% [1336]
% t(eta(A),t(B,quotient(difference(eta(A),C),V_3))) <->
% t(t(eta(A),B),quotient(quotient(C,eta(A)),t(eta(A),V_3)))
% Current number of equations to process: 593
% Current number of ordered equations: 5
% Current number of rules: 427
% New rule produced :
% [1337]
% t(t(eta(A),B),quotient(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),t(B,quotient(difference(eta(A),C),V_3)))
% Current number of equations to process: 593
% Current number of ordered equations: 4
% Current number of rules: 428
% New rule produced :
% [1338]
% t(eta(B),t(quotient(difference(eta(B),A),C),V_3)) ->
% t(quotient(quotient(A,eta(B)),t(eta(B),C)),t(eta(B),V_3))
% Rule
% [1320]
% t(eta(A),t(quotient(difference(eta(A),B),C),C)) ->
% t(quotient(quotient(B,eta(A)),t(eta(A),C)),t(eta(A),C)) collapsed.
% Current number of equations to process: 593
% Current number of ordered equations: 3
% Current number of rules: 428
% New rule produced :
% [1339]
% t(eta(A),t(B,difference(difference(eta(A),C),V_3))) <->
% t(t(eta(A),B),difference(quotient(C,eta(A)),t(eta(A),V_3)))
% Current number of equations to process: 593
% Current number of ordered equations: 2
% Current number of rules: 429
% New rule produced :
% [1340]
% t(t(eta(A),B),difference(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),t(B,difference(difference(eta(A),C),V_3)))
% Current number of equations to process: 593
% Current number of ordered equations: 1
% Current number of rules: 430
% New rule produced :
% [1341]
% t(eta(B),t(difference(difference(eta(B),A),C),V_3)) ->
% t(difference(quotient(A,eta(B)),t(eta(B),C)),t(eta(B),V_3))
% Current number of equations to process: 593
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [1342]
% t(eta(A),quotient(eta(A),i(quotient(B,difference(eta(A),C))))) <->
% quotient(eta(A),i(quotient(t(eta(A),B),quotient(C,eta(A)))))
% Current number of equations to process: 592
% Current number of ordered equations: 1
% Current number of rules: 432
% New rule produced :
% [1343]
% quotient(eta(A),i(quotient(t(eta(A),B),quotient(C,eta(A))))) <->
% t(eta(A),quotient(eta(A),i(quotient(B,difference(eta(A),C)))))
% Current number of equations to process: 592
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [1344]
% t(eta(A),quotient(eta(A),i(quotient(difference(eta(A),B),C)))) ->
% quotient(eta(A),i(quotient(quotient(B,eta(A)),t(eta(A),C))))
% Current number of equations to process: 591
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced :
% [1345]
% t(eta(A),quotient(eta(A),i(difference(difference(eta(A),B),C)))) ->
% quotient(eta(A),i(difference(quotient(B,eta(A)),t(eta(A),C))))
% Current number of equations to process: 590
% Current number of ordered equations: 0
% Current number of rules: 435
% New rule produced :
% [1346]
% difference(i(quotient(j(A),j(j(A)))),difference(i(A),quotient(eta(A),
% i(quotient(A,j(A))))))
% -> A
% Current number of equations to process: 589
% Current number of ordered equations: 0
% Current number of rules: 436
% New rule produced :
% [1347]
% quotient(difference(A,quotient(eta(A),i(quotient(j(A),j(j(A)))))),j(A)) ->
% i(quotient(j(j(A)),j(j(j(A)))))
% Current number of equations to process: 588
% Current number of ordered equations: 0
% Current number of rules: 437
% New rule produced :
% [1348]
% difference(quotient(eta(B),quotient(i(A),i(B))),j(B)) ->
% quotient(difference(A,quotient(difference(j(eta(B)),j(B)),eta(B))),i(B))
% Current number of equations to process: 587
% Current number of ordered equations: 0
% Current number of rules: 438
% New rule produced :
% [1349]
% quotient(eta(A),quotient(eta(quotient(eta(A),quotient(j(eta(B)),A))),eta(B)))
% -> eta(B)
% Current number of equations to process: 586
% Current number of ordered equations: 0
% Current number of rules: 439
% New rule produced :
% [1350]
% t(eta(A),difference(B,difference(eta(A),quotient(i(i(i(i(A)))),j(eta(A))))))
% -> t(eta(A),difference(B,A))
% Current number of equations to process: 585
% Current number of ordered equations: 0
% Current number of rules: 440
% New rule produced :
% [1351]
% quotient(quotient(t(i(A),i(t(A,i(quotient(A,j(A)))))),A),i(A)) ->
% i(t(A,i(quotient(A,j(A)))))
% Current number of equations to process: 584
% Current number of ordered equations: 0
% Current number of rules: 441
% New rule produced :
% [1352]
% quotient(eta(C),i(quotient(eta(difference(eta(C),A)),quotient(i(B),difference(
% eta(C),A)))))
% -> quotient(eta(A),quotient(i(B),A))
% Current number of equations to process: 583
% Current number of ordered equations: 0
% Current number of rules: 442
% New rule produced :
% [1353]
% quotient(eta(A),i(quotient(quotient(eta(B),quotient(i(C),B)),quotient(
% eta(A),i(B)))))
% -> t(quotient(eta(A),i(B)),C)
% Current number of equations to process: 582
% Current number of ordered equations: 0
% Current number of rules: 443
% New rule produced :
% [1354]
% difference(quotient(eta(A),quotient(i(B),A)),quotient(eta(A),quotient(i(C),A)))
% -> quotient(difference(B,quotient(eta(C),quotient(i(A),C))),A)
% Current number of equations to process: 581
% Current number of ordered equations: 0
% Current number of rules: 444
% New rule produced :
% [1355]
% quotient(quotient(eta(quotient(A,j(A))),quotient(i(B),quotient(A,j(A)))),A)
% -> t(A,t(A,quotient(eta(B),quotient(i(A),B))))
% Current number of equations to process: 580
% Current number of ordered equations: 0
% Current number of rules: 445
% New rule produced : [1356] t(t(i(A),eta(A)),i(i(i(A)))) -> j(A)
% Current number of equations to process: 582
% Current number of ordered equations: 0
% Current number of rules: 446
% New rule produced :
% [1357] quotient(eta(A),i(i(i(i(i(i(i(A)))))))) -> i(i(i(i(i(i(i(i(A))))))))
% Current number of equations to process: 589
% Current number of ordered equations: 0
% Current number of rules: 447
% New rule produced :
% [1358]
% quotient(quotient(A,j(eta(B))),t(t(A,eta(B)),A)) ->
% t(t(t(A,eta(B)),A),t(A,eta(B)))
% Current number of equations to process: 592
% Current number of ordered equations: 0
% Current number of rules: 448
% New rule produced :
% [1359] difference(A,quotient(eta(A),quotient(j(eta(A)),A))) -> eta(A)
% Current number of equations to process: 605
% Current number of ordered equations: 0
% Current number of rules: 449
% New rule produced :
% [1360] quotient(i(t(i(A),i(t(A,i(quotient(A,j(A))))))),i(A)) -> j(A)
% Current number of equations to process: 608
% Current number of ordered equations: 0
% Current number of rules: 450
% New rule produced :
% [1361]
% difference(A,quotient(eta(A),quotient(j(eta(A)),j(j(A))))) ->
% i(i(quotient(eta(A),j(eta(A)))))
% Current number of equations to process: 607
% Current number of ordered equations: 0
% Current number of rules: 451
% New rule produced :
% [1362] i(quotient(eta(B),quotient(i(quotient(eta(B),A)),B))) -> quotient(A,B)
% Current number of equations to process: 612
% Current number of ordered equations: 0
% Current number of rules: 452
% New rule produced :
% [1363]
% difference(i(A),t(i(A),i(t(A,i(quotient(A,j(A))))))) ->
% quotient(quotient(A,j(A)),i(A))
% Current number of equations to process: 611
% Current number of ordered equations: 0
% Current number of rules: 453
% New rule produced :
% [1364]
% difference(t(t(A,t(quotient(A,B),B)),A),quotient(A,t(A,quotient(A,quotient(
% eta(B),
% quotient(
% i(A),B))))))
% -> t(A,t(quotient(A,B),B))
% Current number of equations to process: 610
% Current number of ordered equations: 0
% Current number of rules: 454
% New rule produced :
% [1365]
% quotient(quotient(eta(A),j(eta(B))),quotient(difference(i(quotient(eta(A),
% j(eta(B)))),
% eta(B)),eta(B))) -> one
% Current number of equations to process: 607
% Current number of ordered equations: 0
% Current number of rules: 455
% New rule produced :
% [1366] quotient(eta(A),i(t(quotient(eta(A),j(eta(A))),j(eta(A))))) -> one
% Current number of equations to process: 606
% Current number of ordered equations: 0
% Current number of rules: 456
% New rule produced :
% [1367]
% quotient(difference(quotient(eta(A),quotient(i(B),A)),eta(C)),eta(C)) ->
% i(quotient(eta(A),quotient(i(B),A)))
% Current number of equations to process: 605
% Current number of ordered equations: 0
% Current number of rules: 457
% New rule produced :
% [1368]
% quotient(eta(t(eta(B),C)),t(eta(B),quotient(eta(B),C))) ->
% t(eta(B),quotient(C,eta(B)))
% Current number of equations to process: 604
% Current number of ordered equations: 0
% Current number of rules: 458
% New rule produced :
% [1369]
% quotient(t(quotient(eta(A),i(t(A,i(quotient(A,j(A)))))),i(t(A,i(quotient(A,
% j(A)))))),
% j(j(A))) -> j(j(j(j(A))))
% Current number of equations to process: 603
% Current number of ordered equations: 0
% Current number of rules: 459
% New rule produced :
% [1370]
% quotient(quotient(i(i(A)),quotient(j(A),i(i(A)))),quotient(eta(A),i(quotient(A,
% j(A)))))
% -> i(i(A))
% Current number of equations to process: 602
% Current number of ordered equations: 0
% Current number of rules: 460
% New rule produced :
% [1371]
% quotient(difference(quotient(quotient(quotient(A,i(B)),B),i(B)),i(B)),i(B))
% -> difference(quotient(eta(B),i(t(i(B),A))),i(B))
% Current number of equations to process: 601
% Current number of ordered equations: 0
% Current number of rules: 461
% New rule produced :
% [1372]
% quotient(difference(i(i(A)),quotient(eta(A),i(t(A,i(quotient(A,j(A))))))),
% i(A)) -> i(quotient(A,j(A)))
% Current number of equations to process: 600
% Current number of ordered equations: 0
% Current number of rules: 462
% New rule produced :
% [1373]
% difference(quotient(B,A),quotient(eta(B),quotient(j(eta(quotient(B,A))),B)))
% -> quotient(difference(i(A),j(quotient(i(A),eta(quotient(B,A))))),A)
% Current number of equations to process: 599
% Current number of ordered equations: 0
% Current number of rules: 463
% New rule produced :
% [1374] difference(i(i(i(i(i(i(i(i(A)))))))),eta(A)) -> i(i(i(i(i(i(i(A)))))))
% Current number of equations to process: 612
% Current number of ordered equations: 0
% Current number of rules: 464
% New rule produced :
% [1375]
% difference(t(t(t(A,eta(B)),A),t(A,eta(B))),quotient(A,j(eta(B)))) ->
% t(t(A,eta(B)),A)
% Current number of equations to process: 618
% Current number of ordered equations: 0
% Current number of rules: 465
% New rule produced :
% [1376]
% quotient(difference(i(A),quotient(eta(B),i(quotient(eta(B),quotient(i(A),B))))),A)
% -> quotient(eta(A),quotient(i(i(i(B))),A))
% Current number of equations to process: 618
% Current number of ordered equations: 0
% Current number of rules: 466
% New rule produced :
% [1377]
% difference(A,quotient(eta(B),quotient(i(i(A)),B))) ->
% quotient(difference(A,quotient(eta(B),quotient(j(eta(A)),B))),A)
% Current number of equations to process: 617
% Current number of ordered equations: 0
% Current number of rules: 467
% New rule produced :
% [1378]
% difference(t(t(t(i(A),eta(A)),i(A)),t(i(A),eta(A))),j(A)) ->
% t(t(i(A),eta(A)),i(A))
% Current number of equations to process: 620
% Current number of ordered equations: 0
% Current number of rules: 468
% New rule produced :
% [1379]
% t(eta(A),t(quotient(B,difference(eta(A),C)),difference(eta(A),C))) <->
% t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A)))
% Current number of equations to process: 619
% Current number of ordered equations: 1
% Current number of rules: 469
% New rule produced :
% [1380]
% t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A))) <->
% t(eta(A),t(quotient(B,difference(eta(A),C)),difference(eta(A),C)))
% Current number of equations to process: 619
% Current number of ordered equations: 0
% Current number of rules: 470
% New rule produced :
% [1381]
% t(eta(A),quotient(quotient(B,difference(eta(A),C)),difference(eta(A),V_3)))
% <-> quotient(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(V_3,eta(A)))
% Current number of equations to process: 618
% Current number of ordered equations: 1
% Current number of rules: 471
% New rule produced :
% [1382]
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(V_3,eta(A))) <->
% t(eta(A),quotient(quotient(B,difference(eta(A),C)),difference(eta(A),V_3)))
% Current number of equations to process: 618
% Current number of ordered equations: 0
% Current number of rules: 472
% New rule produced :
% [1383]
% t(eta(A),difference(quotient(B,difference(eta(A),C)),difference(eta(A),V_3)))
% <-> difference(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(V_3,eta(A)))
% Current number of equations to process: 615
% Current number of ordered equations: 1
% Current number of rules: 473
% New rule produced :
% [1384]
% difference(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(V_3,eta(A))) <->
% t(eta(A),difference(quotient(B,difference(eta(A),C)),difference(eta(A),V_3)))
% Current number of equations to process: 615
% Current number of ordered equations: 0
% Current number of rules: 474
% New rule produced :
% [1385]
% t(eta(B),difference(quotient(difference(eta(B),A),C),difference(eta(B),V_3)))
% -> difference(quotient(quotient(A,eta(B)),t(eta(B),C)),quotient(V_3,eta(B)))
% Current number of equations to process: 614
% Current number of ordered equations: 0
% Current number of rules: 475
% New rule produced :
% [1386]
% t(eta(B),difference(difference(difference(eta(B),A),C),difference(eta(B),V_3)))
% ->
% difference(difference(quotient(A,eta(B)),t(eta(B),C)),quotient(V_3,eta(B)))
% Current number of equations to process: 613
% Current number of ordered equations: 0
% Current number of rules: 476
% New rule produced :
% [1387]
% quotient(quotient(j(A),quotient(t(i(A),eta(A)),j(A))),t(t(i(A),eta(A)),i(A)))
% -> j(A)
% Current number of equations to process: 612
% Current number of ordered equations: 0
% Current number of rules: 477
% New rule produced :
% [1388]
% quotient(eta(A),i(quotient(quotient(eta(B),quotient(quotient(i(C),i(B)),
% eta(B))),C))) ->
% quotient(eta(A),i(i(i(i(B)))))
% Current number of equations to process: 611
% Current number of ordered equations: 0
% Current number of rules: 478
% New rule produced :
% [1389]
% quotient(quotient(i(t(A,i(quotient(A,j(A))))),quotient(j(j(A)),i(t(A,
% i(quotient(A,
% j(A))))))),
% j(j(j(j(A))))) -> i(t(A,i(quotient(A,j(A)))))
% Current number of equations to process: 610
% Current number of ordered equations: 0
% Current number of rules: 479
% New rule produced :
% [1390]
% quotient(quotient(i(i(i(A))),quotient(j(A),i(i(i(A))))),quotient(eta(A),
% j(eta(A)))) ->
% i(i(i(A)))
% Current number of equations to process: 609
% Current number of ordered equations: 0
% Current number of rules: 480
% Rule [1361]
% difference(A,quotient(eta(A),quotient(j(eta(A)),j(j(A))))) ->
% i(i(quotient(eta(A),j(eta(A))))) is composed into [1361]
% difference(A,quotient(
% eta(A),
% quotient(
% j(
% eta(A)),
% j(
% j(A)))))
% ->
% quotient(eta(A),
% j(eta(A)))
% Rule [1269]
% quotient(difference(j(eta(A)),quotient(eta(A),j(eta(A)))),eta(A)) ->
% i(i(quotient(eta(A),j(eta(A))))) is composed into [1269]
% quotient(difference(
% j(eta(A)),
% quotient(
% eta(A),
% j(eta(A)))),
% eta(A)) ->
% quotient(eta(A),
% j(eta(A)))
% New rule produced :
% [1391] i(i(quotient(eta(A),j(eta(A))))) -> quotient(eta(A),j(eta(A)))
% Current number of equations to process: 616
% Current number of ordered equations: 0
% Current number of rules: 481
% New rule produced :
% [1392]
% difference(i(i(i(i(A)))),quotient(eta(A),i(quotient(eta(A),i(quotient(
% eta(A),quotient(
% i(B),A)))))))
% -> B
% Current number of equations to process: 625
% Current number of ordered equations: 0
% Current number of rules: 482
% New rule produced :
% [1393]
% quotient(t(A,quotient(A,quotient(eta(B),quotient(i(A),B)))),quotient(A,B)) ->
% t(quotient(A,B),quotient(quotient(A,B),quotient(A,quotient(B,A))))
% Current number of equations to process: 623
% Current number of ordered equations: 0
% Current number of rules: 483
% New rule produced :
% [1394]
% difference(t(A,t(quotient(A,B),B)),quotient(A,t(A,quotient(A,quotient(
% eta(B),quotient(
% i(A),B))))))
% -> A
% Current number of equations to process: 622
% Current number of ordered equations: 0
% Current number of rules: 484
% New rule produced :
% [1395]
% t(eta(A),quotient(eta(quotient(eta(B),quotient(j(eta(A)),B))),eta(A))) ->
% quotient(eta(B),eta(A))
% Current number of equations to process: 621
% Current number of ordered equations: 0
% Current number of rules: 485
% New rule produced :
% [1396]
% quotient(difference(quotient(quotient(eta(A),quotient(i(B),A)),i(A)),i(A)),
% i(A)) -> difference(quotient(eta(A),i(quotient(B,i(A)))),i(A))
% Current number of equations to process: 620
% Current number of ordered equations: 0
% Current number of rules: 486
% New rule produced :
% [1397]
% difference(t(quotient(eta(A),i(B)),C),quotient(eta(A),i(quotient(eta(B),
% quotient(i(C),B)))))
% -> quotient(eta(A),i(B))
% Current number of equations to process: 619
% Current number of ordered equations: 0
% Current number of rules: 487
% New rule produced :
% [1398]
% quotient(quotient(A,quotient(eta(B),i(C))),quotient(A,quotient(eta(B),
% i(quotient(eta(C),
% quotient(i(A),C))))))
% -> A
% Current number of equations to process: 618
% Current number of ordered equations: 0
% Current number of rules: 488
% New rule produced :
% [1399]
% quotient(eta(A),i(quotient(quotient(eta(B),quotient(quotient(j(eta(C)),B),
% eta(B))),eta(C)))) ->
% quotient(eta(A),i(i(i(B))))
% Current number of equations to process: 617
% Current number of ordered equations: 0
% Current number of rules: 489
% New rule produced :
% [1400]
% difference(quotient(eta(B),quotient(i(quotient(quotient(difference(i(
% difference(B,C)),C),
% difference(B,C)),A)),B)),C) ->
% quotient(A,B)
% Current number of equations to process: 616
% Current number of ordered equations: 0
% Current number of rules: 490
% New rule produced :
% [1401]
% quotient(j(j(A)),t(t(j(eta(A)),A),j(eta(A)))) ->
% t(t(t(j(eta(A)),A),j(eta(A))),t(j(eta(A)),A))
% Current number of equations to process: 615
% Current number of ordered equations: 0
% Current number of rules: 491
% New rule produced :
% [1402]
% quotient(quotient(difference(A,eta(B)),quotient(B,difference(A,eta(B)))),
% i(quotient(eta(B),quotient(i(A),B)))) -> difference(A,eta(B))
% Current number of equations to process: 615
% Current number of ordered equations: 0
% Current number of rules: 492
% New rule produced :
% [1403]
% difference(t(t(i(i(i(i(A)))),eta(A)),i(i(i(i(A))))),i(i(A))) ->
% t(i(i(i(i(A)))),eta(A))
% Current number of equations to process: 614
% Current number of ordered equations: 0
% Current number of rules: 493
% New rule produced :
% [1404]
% i(quotient(eta(A),quotient(i(t(t(quotient(eta(A),B),B),quotient(eta(A),B))),A)))
% -> quotient(t(quotient(eta(A),B),B),A)
% Current number of equations to process: 613
% Current number of ordered equations: 0
% Current number of rules: 494
% New rule produced : [1405] quotient(eta(B),quotient(j(eta(B)),i(i(B)))) -> B
% Current number of equations to process: 612
% Current number of ordered equations: 0
% Current number of rules: 495
% New rule produced :
% [1406]
% difference(A,quotient(difference(i(difference(j(eta(B)),C)),C),difference(
% j(eta(B)),C)))
% <-> quotient(difference(j(quotient(i(A),j(eta(B)))),C),eta(B))
% Current number of equations to process: 611
% Current number of ordered equations: 1
% Current number of rules: 496
% New rule produced :
% [1407]
% quotient(difference(j(quotient(i(A),j(eta(B)))),C),eta(B)) <->
% difference(A,quotient(difference(i(difference(j(eta(B)),C)),C),difference(
% j(eta(B)),C)))
% Current number of equations to process: 611
% Current number of ordered equations: 0
% Current number of rules: 497
% New rule produced :
% [1408]
% quotient(quotient(eta(A),j(eta(A))),t(i(i(i(i(A)))),i(A))) ->
% t(t(i(i(i(i(A)))),i(A)),i(i(i(i(A)))))
% Current number of equations to process: 610
% Current number of ordered equations: 0
% Current number of rules: 498
% New rule produced :
% [1409]
% quotient(difference(i(i(i(i(A)))),quotient(i(i(A)),difference(i(i(i(A))),A))),
% i(i(i(A)))) -> i(A)
% Current number of equations to process: 608
% Current number of ordered equations: 0
% Current number of rules: 499
% New rule produced :
% [1410]
% quotient(eta(A),i(quotient(difference(i(B),j(quotient(i(B),eta(quotient(
% eta(A),
% i(B)))))),B)))
% -> j(j(quotient(eta(A),i(B))))
% Current number of equations to process: 607
% Current number of ordered equations: 0
% Current number of rules: 500
% New rule produced :
% [1411]
% t(eta(A),quotient(eta(B),quotient(i(difference(eta(A),C)),B))) <->
% quotient(eta(t(eta(A),B)),quotient(i(quotient(C,eta(A))),t(eta(A),B)))
% Current number of equations to process: 606
% Current number of ordered equations: 1
% Current number of rules: 501
% New rule produced :
% [1412]
% quotient(eta(t(eta(A),B)),quotient(i(quotient(C,eta(A))),t(eta(A),B))) <->
% t(eta(A),quotient(eta(B),quotient(i(difference(eta(A),C)),B)))
% Current number of equations to process: 606
% Current number of ordered equations: 0
% Current number of rules: 502
% New rule produced :
% [1413]
% quotient(eta(t(eta(A),B)),quotient(i(quotient(eta(A),i(C))),t(eta(A),B))) ->
% quotient(eta(A),i(quotient(eta(B),quotient(i(C),B))))
% Current number of equations to process: 605
% Current number of ordered equations: 0
% Current number of rules: 503
% New rule produced :
% [1414] difference(quotient(eta(A),i(B)),quotient(eta(A),j(eta(B)))) -> j(B)
% Current number of equations to process: 607
% Current number of ordered equations: 0
% Current number of rules: 504
% New rule produced :
% [1415]
% quotient(quotient(eta(A),j(eta(B))),quotient(eta(A),i(B))) ->
% t(quotient(eta(A),i(B)),j(B))
% Current number of equations to process: 607
% Current number of ordered equations: 0
% Current number of rules: 505
% New rule produced :
% [1416] quotient(quotient(eta(A),j(eta(B))),j(j(B))) -> quotient(eta(A),B)
% Rule [489] quotient(quotient(eta(A),j(eta(A))),j(j(A))) -> i(A) collapsed.
% Current number of equations to process: 607
% Current number of ordered equations: 0
% Current number of rules: 505
% New rule produced :
% [1417]
% difference(t(quotient(eta(A),i(B)),j(B)),quotient(eta(A),j(eta(B)))) ->
% quotient(eta(A),i(B))
% Current number of equations to process: 608
% Current number of ordered equations: 0
% Current number of rules: 506
% New rule produced :
% [1418]
% quotient(quotient(j(A),quotient(eta(B),i(A))),quotient(j(A),quotient(
% eta(B),j(eta(A)))))
% -> j(A)
% Current number of equations to process: 608
% Current number of ordered equations: 0
% Current number of rules: 507
% New rule produced :
% [1419]
% quotient(quotient(eta(A),j(eta(B))),t(quotient(eta(A),i(B)),j(B))) ->
% t(t(quotient(eta(A),i(B)),j(B)),quotient(eta(A),i(B)))
% Current number of equations to process: 608
% Current number of ordered equations: 0
% Current number of rules: 508
% New rule produced :
% [1420]
% quotient(quotient(eta(A),quotient(i(B),A)),quotient(difference(C,quotient(
% eta(B),
% quotient(
% i(A),B))),A))
% -> quotient(eta(A),quotient(i(C),A))
% Current number of equations to process: 608
% Current number of ordered equations: 0
% Current number of rules: 509
% New rule produced :
% [1421]
% quotient(quotient(quotient(A,B),t(quotient(A,B),B)),t(A,quotient(A,quotient(
% eta(B),
% quotient(
% i(A),B)))))
% -> quotient(A,B)
% Current number of equations to process: 607
% Current number of ordered equations: 0
% Current number of rules: 510
% New rule produced :
% [1422]
% quotient(quotient(quotient(eta(A),quotient(i(B),A)),quotient(B,quotient(
% eta(A),
% quotient(
% i(B),A)))),A)
% -> quotient(eta(A),quotient(i(B),A))
% Current number of equations to process: 606
% Current number of ordered equations: 0
% Current number of rules: 511
% New rule produced :
% [1423]
% quotient(t(A,quotient(A,quotient(eta(B),quotient(i(A),B)))),quotient(
% quotient(A,B),
% quotient(A,
% quotient(B,A))))
% -> quotient(A,B)
% Current number of equations to process: 605
% Current number of ordered equations: 0
% Current number of rules: 512
% New rule produced :
% [1424]
% quotient(quotient(eta(quotient(eta(A),quotient(j(eta(B)),A))),eta(B)),A) ->
% i(quotient(eta(A),quotient(j(eta(B)),A)))
% Current number of equations to process: 604
% Current number of ordered equations: 0
% Current number of rules: 513
% New rule produced :
% [1425]
% difference(t(t(t(A,quotient(A,B)),A),t(A,quotient(A,B))),quotient(A,quotient(B,A)))
% -> t(t(A,quotient(A,B)),A)
% Current number of equations to process: 603
% Current number of ordered equations: 0
% Current number of rules: 514
% New rule produced :
% [1426]
% quotient(quotient(quotient(A,j(eta(B))),t(quotient(A,j(eta(B))),j(eta(B)))),
% t(A,eta(B))) -> quotient(A,j(eta(B)))
% Current number of equations to process: 602
% Current number of ordered equations: 0
% Current number of rules: 515
% New rule produced :
% [1427]
% quotient(eta(A),i(quotient(B,t(quotient(eta(A),i(C)),difference(C,B))))) ->
% t(t(quotient(eta(A),i(C)),difference(C,B)),quotient(eta(A),i(C)))
% Current number of equations to process: 599
% Current number of ordered equations: 0
% Current number of rules: 516
% New rule produced :
% [1428]
% quotient(quotient(eta(A),j(eta(B))),t(quotient(eta(A),i(i(B))),B)) ->
% t(t(quotient(eta(A),i(i(B))),B),quotient(eta(A),i(i(B))))
% Current number of equations to process: 598
% Current number of ordered equations: 0
% Current number of rules: 517
% New rule produced :
% [1429]
% difference(difference(quotient(eta(A),quotient(i(B),A)),C),difference(B,
% quotient(difference(
% i(
% difference(A,C)),C),
% difference(A,C))))
% -> A
% Current number of equations to process: 597
% Current number of ordered equations: 0
% Current number of rules: 518
% New rule produced :
% [1430]
% quotient(difference(difference(A,B),A),t(t(difference(B,A),A),difference(B,A)))
% -> t(t(t(difference(B,A),A),difference(B,A)),t(difference(B,A),A))
% Current number of equations to process: 596
% Current number of ordered equations: 0
% Current number of rules: 519
% New rule produced :
% [1431]
% difference(t(A,difference(j(j(A)),eta(A))),quotient(eta(A),j(eta(A)))) -> A
% Current number of equations to process: 596
% Current number of ordered equations: 0
% Current number of rules: 520
% New rule produced : [1432] difference(j(j(A)),eta(A)) -> j(j(j(A)))
% Rule
% [632] quotient(quotient(eta(A),j(eta(A))),difference(j(j(A)),eta(A))) -> A
% collapsed.
% Rule
% [1431]
% difference(t(A,difference(j(j(A)),eta(A))),quotient(eta(A),j(eta(A)))) -> A
% collapsed.
% Current number of equations to process: 597
% Current number of ordered equations: 0
% Current number of rules: 519
% New rule produced :
% [1433] difference(t(A,j(j(j(A)))),quotient(eta(A),j(eta(A)))) -> A
% Current number of equations to process: 596
% Current number of ordered equations: 0
% Current number of rules: 520
% New rule produced :
% [1434] difference(j(j(j(j(A)))),quotient(j(j(A)),i(A))) -> A
% Current number of equations to process: 598
% Current number of ordered equations: 0
% Current number of rules: 521
% New rule produced :
% [1435] difference(t(j(j(j(j(A)))),A),quotient(j(j(A)),i(A))) -> j(j(j(j(A))))
% Current number of equations to process: 597
% Current number of ordered equations: 0
% Current number of rules: 522
% New rule produced :
% [1436] quotient(quotient(j(A),i(i(A))),i(A)) -> j(j(j(A)))
% Current number of equations to process: 598
% Current number of ordered equations: 0
% Current number of rules: 523
% New rule produced :
% [1437] quotient(quotient(j(j(j(A))),A),j(A)) -> j(j(j(j(j(A)))))
% Current number of equations to process: 598
% Current number of ordered equations: 0
% Current number of rules: 524
% New rule produced :
% [1438] quotient(quotient(j(j(A)),i(A)),j(j(j(j(A))))) -> t(j(j(j(j(A)))),A)
% Current number of equations to process: 597
% Current number of ordered equations: 0
% Current number of rules: 525
% New rule produced :
% [1439]
% quotient(quotient(A,j(j(j(j(A))))),quotient(A,quotient(j(j(A)),i(A)))) -> A
% Current number of equations to process: 598
% Current number of ordered equations: 0
% Current number of rules: 526
% New rule produced :
% [1440]
% quotient(quotient(eta(A),j(eta(A))),t(A,j(j(j(A))))) -> t(t(A,j(j(j(A)))),A)
% Current number of equations to process: 598
% Current number of ordered equations: 0
% Current number of rules: 527
% New rule produced :
% [1441]
% quotient(quotient(j(j(A)),i(A)),t(j(j(j(j(A)))),A)) ->
% t(t(j(j(j(j(A)))),A),j(j(j(j(A)))))
% Current number of equations to process: 597
% Current number of ordered equations: 0
% Current number of rules: 528
% New rule produced :
% [1442]
% quotient(i(i(quotient(eta(A),quotient(quotient(i(B),A),eta(A))))),B) ->
% j(quotient(i(i(i(A))),eta(quotient(eta(A),quotient(quotient(i(B),A),eta(A))))))
% Current number of equations to process: 596
% Current number of ordered equations: 0
% Current number of rules: 529
% New rule produced :
% [1443]
% quotient(quotient(quotient(eta(A),j(eta(A))),quotient(j(j(A)),quotient(
% eta(A),
% j(eta(A))))),
% i(A)) -> quotient(eta(A),j(eta(A)))
% Current number of equations to process: 595
% Current number of ordered equations: 0
% Current number of rules: 530
% New rule produced :
% [1444]
% quotient(i(i(i(A))),t(quotient(eta(A),j(eta(A))),j(A))) ->
% t(t(quotient(eta(A),j(eta(A))),j(A)),quotient(eta(A),j(eta(A))))
% Current number of equations to process: 594
% Current number of ordered equations: 0
% Current number of rules: 531
% New rule produced :
% [1445]
% quotient(quotient(i(i(A)),quotient(eta(difference(i(A),A)),quotient(i(
% i(i(A))),
% difference(
% i(A),A)))),
% i(A)) -> j(A)
% Current number of equations to process: 593
% Current number of ordered equations: 0
% Current number of rules: 532
% New rule produced :
% [1446]
% quotient(difference(i(quotient(A,i(B))),quotient(i(B),difference(quotient(A,
% i(B)),
% j(B)))),quotient(A,
% i(B))) ->
% quotient(A,j(B))
% Current number of equations to process: 592
% Current number of ordered equations: 0
% Current number of rules: 533
% New rule produced :
% [1447]
% quotient(quotient(eta(quotient(A,j(A))),quotient(i(B),quotient(A,j(A)))),
% t(A,quotient(eta(B),quotient(i(A),B)))) -> A
% Current number of equations to process: 591
% Current number of ordered equations: 0
% Current number of rules: 534
% New rule produced :
% [1448]
% quotient(quotient(difference(i(A),quotient(eta(B),quotient(i(quotient(
% eta(C),quotient(
% i(A),C))),B))),A),C)
% -> quotient(eta(A),quotient(i(B),A))
% Current number of equations to process: 590
% Current number of ordered equations: 0
% Current number of rules: 535
% New rule produced :
% [1449]
% quotient(t(A,quotient(eta(t(A,B)),quotient(i(A),t(A,B)))),t(A,B)) ->
% quotient(t(A,quotient(eta(A),quotient(i(B),A))),t(A,B))
% Current number of equations to process: 590
% Current number of ordered equations: 0
% Current number of rules: 536
% Rule [791]
% quotient(difference(B,quotient(difference(i(quotient(B,j(B))),A),
% quotient(B,j(B)))),quotient(A,quotient(B,j(B))))
% ->
% quotient(quotient(quotient(quotient(eta(difference(j(B),quotient(A,
% quotient(B,
% j(B))))),
% quotient(i(B),difference(j(B),quotient(A,
% quotient(B,
% j(B)))))),
% j(B)),quotient(B,j(B))),quotient(A,quotient(B,j(B)))) is composed into
% [791]
% quotient(difference(B,quotient(difference(i(quotient(B,j(B))),A),quotient(B,
% j(B)))),
% quotient(A,quotient(B,j(B)))) ->
% quotient(difference(B,quotient(eta(quotient(B,j(B))),quotient(i(quotient(A,
% quotient(B,
% j(B)))),
% quotient(B,j(B))))),
% quotient(A,quotient(B,j(B))))
% New rule produced :
% [1450]
% quotient(quotient(quotient(eta(difference(B,C)),quotient(i(A),difference(B,C))),B),
% quotient(A,B)) <->
% difference(A,quotient(eta(quotient(A,B)),quotient(i(C),quotient(A,B))))
% Current number of equations to process: 589
% Current number of ordered equations: 1
% Current number of rules: 537
% New rule produced :
% [1451]
% difference(A,quotient(eta(quotient(A,B)),quotient(i(C),quotient(A,B)))) <->
% quotient(quotient(quotient(eta(difference(B,C)),quotient(i(A),difference(B,C))),B),
% quotient(A,B))
% Current number of equations to process: 589
% Current number of ordered equations: 0
% Current number of rules: 538
% New rule produced :
% [1452]
% difference(i(i(A)),quotient(eta(A),quotient(i(B),A))) ->
% quotient(eta(A),i(B))
% Current number of equations to process: 588
% Current number of ordered equations: 0
% Current number of rules: 539
% Rule [1450]
% quotient(quotient(quotient(eta(difference(B,C)),quotient(i(A),difference(B,C))),B),
% quotient(A,B)) <->
% difference(A,quotient(eta(quotient(A,B)),quotient(i(C),quotient(A,B)))) is composed into
% [1450]
% quotient(quotient(quotient(eta(difference(B,C)),quotient(i(A),difference(B,C))),B),
% quotient(A,B)) <->
% quotient(quotient(eta(difference(A,quotient(A,B))),quotient(i(quotient(
% eta(C),
% quotient(
% i(A),C))),
% difference(A,quotient(A,B)))),A)
% Rule [791]
% quotient(difference(B,quotient(difference(i(quotient(B,j(B))),A),
% quotient(B,j(B)))),quotient(A,quotient(B,j(B))))
% ->
% quotient(difference(B,quotient(eta(quotient(B,j(B))),quotient(i(
% quotient(A,
% quotient(B,
% j(B)))),
% quotient(B,
% j(B))))),quotient(A,
% quotient(B,
% j(B)))) is composed into
% [791]
% quotient(difference(B,quotient(difference(i(quotient(B,j(B))),A),quotient(B,
% j(B)))),
% quotient(A,quotient(B,j(B)))) ->
% quotient(quotient(quotient(eta(difference(B,quotient(B,j(B)))),quotient(
% i(quotient(
% eta(
% quotient(A,
% quotient(B,
% j(B)))),
% quotient(
% i(B),
% quotient(A,
% quotient(B,
% j(B)))))),
% difference(B,
% quotient(B,
% j(B))))),B),
% quotient(A,quotient(B,j(B))))
% New rule produced :
% [1453]
% difference(A,quotient(eta(B),quotient(i(C),B))) ->
% quotient(quotient(eta(difference(A,B)),quotient(i(quotient(eta(C),quotient(
% i(A),C))),
% difference(A,B))),A)
% Rule
% [1120]
% difference(A,quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(
% i(C),quotient(
% eta(A),
% quotient(
% i(B),A)))))
% ->
% quotient(quotient(eta(B),quotient(i(quotient(eta(C),quotient(i(A),C))),B)),A)
% collapsed.
% Rule
% [1121]
% quotient(difference(B,quotient(difference(i(B),quotient(eta(C),quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),C))),B)),A)
% ->
% quotient(quotient(quotient(eta(C),quotient(i(quotient(eta(A),quotient(i(B),A))),C)),B),A)
% collapsed.
% Rule [1130] difference(t(A,B),quotient(eta(A),quotient(i(B),A))) -> A
% collapsed.
% Rule
% [1146]
% difference(j(j(A)),quotient(eta(A),quotient(i(B),A))) -> difference(eta(A),B)
% collapsed.
% Rule
% [1183]
% quotient(difference(eta(A),quotient(eta(B),quotient(i(A),B))),A) ->
% difference(eta(A),B) collapsed.
% Rule
% [1211]
% quotient(difference(i(A),quotient(eta(B),quotient(i(A),B))),A) ->
% quotient(eta(A),quotient(i(B),A)) collapsed.
% Rule
% [1293]
% difference(A,quotient(eta(B),quotient(i(quotient(C,A)),B))) ->
% quotient(quotient(eta(difference(A,B)),quotient(i(C),difference(A,B))),A)
% collapsed.
% Rule
% [1306]
% difference(A,quotient(eta(quotient(A,B)),quotient(i(quotient(B,j(B))),
% quotient(A,B)))) ->
% quotient(t(B,A),quotient(A,B)) collapsed.
% Rule
% [1308]
% difference(A,quotient(eta(quotient(A,j(A))),quotient(i(B),quotient(A,j(A)))))
% -> t(A,quotient(eta(B),quotient(i(A),B))) collapsed.
% Rule
% [1354]
% difference(quotient(eta(A),quotient(i(B),A)),quotient(eta(A),quotient(i(C),A)))
% -> quotient(difference(B,quotient(eta(C),quotient(i(A),C))),A) collapsed.
% Rule
% [1377]
% difference(A,quotient(eta(B),quotient(i(i(A)),B))) ->
% quotient(difference(A,quotient(eta(B),quotient(j(eta(A)),B))),A) collapsed.
% Rule
% [1420]
% quotient(quotient(eta(A),quotient(i(B),A)),quotient(difference(C,quotient(
% eta(B),
% quotient(
% i(A),B))),A))
% -> quotient(eta(A),quotient(i(C),A)) collapsed.
% Rule
% [1448]
% quotient(quotient(difference(i(A),quotient(eta(B),quotient(i(quotient(
% eta(C),quotient(
% i(A),C))),B))),A),C)
% -> quotient(eta(A),quotient(i(B),A)) collapsed.
% Rule
% [1451]
% difference(A,quotient(eta(quotient(A,B)),quotient(i(C),quotient(A,B)))) <->
% quotient(quotient(quotient(eta(difference(B,C)),quotient(i(A),difference(B,C))),B),
% quotient(A,B)) collapsed.
% Rule
% [1452]
% difference(i(i(A)),quotient(eta(A),quotient(i(B),A))) ->
% quotient(eta(A),i(B)) collapsed.
% Current number of equations to process: 599
% Current number of ordered equations: 0
% Current number of rules: 525
% New rule produced :
% [1454]
% quotient(difference(B,quotient(quotient(quotient(eta(difference(i(B),C)),
% quotient(i(quotient(eta(quotient(
% eta(A),
% quotient(
% i(B),A))),
% quotient(i(i(B)),quotient(
% eta(A),
% quotient(
% i(B),A))))),
% difference(i(B),C))),i(B)),B)),A) ->
% quotient(quotient(quotient(eta(C),quotient(i(quotient(eta(A),quotient(i(B),A))),C)),B),A)
% Current number of equations to process: 598
% Current number of ordered equations: 0
% Current number of rules: 526
% New rule produced :
% [1455]
% i(quotient(quotient(difference(i(A),t(eta(A),B)),i(A)),A)) ->
% i(quotient(eta(A),quotient(i(t(eta(A),B)),A)))
% Current number of equations to process: 597
% Current number of ordered equations: 0
% Current number of rules: 527
% New rule produced :
% [1456]
% quotient(eta(quotient(t(eta(A),quotient(eta(A),quotient(t(A,i(quotient(A,
% j(A)))),
% j(eta(A))))),A)),eta(A)) ->
% one
% Current number of equations to process: 596
% Current number of ordered equations: 0
% Current number of rules: 528
% New rule produced :
% [1457]
% quotient(quotient(difference(difference(A,B),A),quotient(difference(B,A),
% difference(difference(A,B),A))),
% t(difference(B,A),A)) -> difference(difference(A,B),A)
% Current number of equations to process: 594
% Current number of ordered equations: 0
% Current number of rules: 529
% New rule produced :
% [1458]
% quotient(quotient(quotient(A,quotient(B,A)),t(quotient(A,quotient(B,A)),
% quotient(B,A))),t(A,quotient(A,B)))
% -> quotient(A,quotient(B,A))
% Current number of equations to process: 592
% Current number of ordered equations: 1
% Current number of rules: 530
% New rule produced :
% [1459]
% quotient(quotient(t(quotient(A,B),B),A),quotient(t(quotient(A,B),B),quotient(A,
% t(A,
% quotient(A,
% quotient(
% eta(B),
% quotient(
% i(A),B)))))))
% -> t(quotient(A,B),B)
% Current number of equations to process: 592
% Current number of ordered equations: 0
% Current number of rules: 531
% New rule produced :
% [1460]
% t(A,quotient(A,quotient(eta(B),i(quotient(eta(C),quotient(quotient(i(A),C),
% eta(C))))))) ->
% t(A,quotient(A,quotient(eta(B),i(quotient(eta(C),quotient(i(A),i(i(C))))))))
% Current number of equations to process: 591
% Current number of ordered equations: 0
% Current number of rules: 532
% New rule produced :
% [1461]
% quotient(eta(B),quotient(i(t(t(quotient(B,C),C),quotient(B,C))),B)) ->
% quotient(B,quotient(t(quotient(B,C),C),B))
% Current number of equations to process: 590
% Current number of ordered equations: 0
% Current number of rules: 533
% New rule produced :
% [1462]
% quotient(difference(i(A),quotient(eta(A),i(quotient(A,j(A))))),i(quotient(
% j(A),
% j(j(A)))))
% -> t(i(quotient(j(A),j(j(A)))),A)
% Current number of equations to process: 589
% Current number of ordered equations: 0
% Current number of rules: 534
% New rule produced :
% [1463]
% quotient(quotient(A,i(quotient(j(A),j(j(A))))),quotient(A,difference(
% i(A),quotient(
% eta(A),
% i(quotient(A,
% j(A)))))))
% -> A
% Current number of equations to process: 588
% Current number of ordered equations: 0
% Current number of rules: 535
% New rule produced :
% [1464]
% difference(t(t(t(j(eta(A)),A),j(eta(A))),t(j(eta(A)),A)),j(j(A))) ->
% t(t(j(eta(A)),A),j(eta(A)))
% Current number of equations to process: 587
% Current number of ordered equations: 0
% Current number of rules: 536
% New rule produced :
% [1465]
% difference(t(t(j(j(j(j(A)))),A),j(j(j(j(A))))),quotient(j(j(A)),i(A))) ->
% t(j(j(j(j(A)))),A)
% Current number of equations to process: 586
% Current number of ordered equations: 0
% Current number of rules: 537
% New rule produced :
% [1466]
% t(eta(A),difference(t(B,eta(A)),difference(eta(A),quotient(quotient(t(
% eta(A),B),
% quotient(quotient(B,
% eta(A)),
% t(eta(A),B))),
% j(eta(A)))))) ->
% t(eta(A),B)
% Current number of equations to process: 586
% Current number of ordered equations: 0
% Current number of rules: 538
% New rule produced :
% [1467]
% quotient(eta(quotient(quotient(quotient(eta(A),quotient(B,A)),eta(B)),j(B))),
% eta(B)) -> quotient(eta(quotient(eta(A),quotient(j(eta(B)),A))),eta(B))
% Current number of equations to process: 585
% Current number of ordered equations: 0
% Current number of rules: 539
% New rule produced :
% [1468]
% t(eta(A),quotient(quotient(B,t(B,eta(A))),t(quotient(B,j(eta(A))),j(eta(A)))))
% -> t(eta(A),B)
% Current number of equations to process: 584
% Current number of ordered equations: 0
% Current number of rules: 540
% New rule produced :
% [1469]
% quotient(eta(A),i(quotient(quotient(eta(difference(B,i(C))),quotient(B,
% eta(difference(B,
% i(C))))),C)))
% -> quotient(eta(A),i(i(i(difference(B,i(C))))))
% Current number of equations to process: 583
% Current number of ordered equations: 0
% Current number of rules: 541
% New rule produced :
% [1470]
% difference(quotient(eta(B),quotient(i(A),B)),i(B)) ->
% quotient(difference(A,quotient(difference(i(i(quotient(B,j(B)))),i(B)),
% i(quotient(B,j(B))))),B)
% Current number of equations to process: 582
% Current number of ordered equations: 0
% Current number of rules: 542
% New rule produced :
% [1471]
% quotient(quotient(quotient(j(j(A)),i(A)),quotient(A,quotient(j(j(A)),i(A)))),
% j(j(j(j(A))))) -> quotient(j(j(A)),i(A))
% Current number of equations to process: 581
% Current number of ordered equations: 0
% Current number of rules: 543
% New rule produced :
% [1472]
% t(A,quotient(A,quotient(eta(t(A,quotient(A,B))),quotient(i(A),t(A,quotient(A,B))))))
% -> t(A,t(quotient(A,quotient(B,A)),quotient(B,A)))
% Current number of equations to process: 579
% Current number of ordered equations: 0
% Current number of rules: 544
% New rule produced :
% [1473]
% quotient(difference(quotient(difference(A,j(j(B))),eta(B)),quotient(eta(B),
% i(A))),quotient(
% eta(B),
% i(A))) ->
% difference(i(i(B)),quotient(eta(B),i(A)))
% Current number of equations to process: 578
% Current number of ordered equations: 0
% Current number of rules: 545
% New rule produced :
% [1474]
% quotient(eta(A),i(quotient(B,quotient(quotient(difference(i(quotient(
% eta(A),i(B))),B),B),
% quotient(eta(A),i(B)))))) ->
% quotient(eta(A),i(B))
% Current number of equations to process: 577
% Current number of ordered equations: 0
% Current number of rules: 546
% New rule produced :
% [1475]
% difference(t(i(quotient(j(A),j(j(A)))),A),difference(i(A),quotient(eta(A),
% i(quotient(A,j(A))))))
% -> i(quotient(j(A),j(j(A))))
% Current number of equations to process: 576
% Current number of ordered equations: 0
% Current number of rules: 547
% New rule produced :
% [1476]
% t(eta(A),difference(quotient(eta(B),quotient(j(eta(A)),B)),C)) <->
% quotient(quotient(quotient(difference(i(difference(B,C)),C),difference(B,C)),
% eta(A)),t(eta(A),B))
% Current number of equations to process: 575
% Current number of ordered equations: 1
% Current number of rules: 548
% New rule produced :
% [1477]
% quotient(quotient(quotient(difference(i(difference(B,C)),C),difference(B,C)),
% eta(A)),t(eta(A),B)) <->
% t(eta(A),difference(quotient(eta(B),quotient(j(eta(A)),B)),C))
% Current number of equations to process: 575
% Current number of ordered equations: 0
% Current number of rules: 549
% New rule produced :
% [1478]
% quotient(difference(i(difference(i(A),B)),quotient(eta(A),i(difference(
% i(A),B)))),
% difference(i(A),B)) ->
% difference(i(A),quotient(eta(B),quotient(j(eta(A)),B)))
% Current number of equations to process: 574
% Current number of ordered equations: 0
% Current number of rules: 550
% New rule produced :
% [1479]
% difference(difference(A,quotient(eta(B),quotient(j(eta(A)),B))),difference(
% i(difference(A,B)),
% quotient(
% eta(A),
% i(difference(A,B)))))
% -> difference(A,B)
% Current number of equations to process: 573
% Current number of ordered equations: 0
% Current number of rules: 551
% New rule produced :
% [1480]
% quotient(difference(i(difference(j(A),B)),quotient(eta(A),i(difference(
% j(A),B)))),
% difference(j(A),B)) ->
% difference(j(A),quotient(eta(B),quotient(j(eta(A)),B)))
% Current number of equations to process: 572
% Current number of ordered equations: 0
% Current number of rules: 552
% New rule produced :
% [1481]
% difference(quotient(A,B),difference(i(quotient(A,i(i(B)))),quotient(i(i(B)),
% difference(
% quotient(A,
% i(i(B))),B)))) ->
% quotient(A,i(i(B)))
% Current number of equations to process: 571
% Current number of ordered equations: 0
% Current number of rules: 553
% New rule produced :
% [1482]
% quotient(quotient(difference(A,quotient(eta(B),quotient(j(eta(A)),B))),A),
% i(A)) ->
% quotient(eta(A),quotient(eta(quotient(i(B),i(A))),quotient(j(eta(A)),
% quotient(i(B),i(A)))))
% Current number of equations to process: 570
% Current number of ordered equations: 0
% Current number of rules: 554
% New rule produced :
% [1483]
% difference(B,quotient(quotient(eta(B),quotient(i(A),B)),quotient(A,quotient(
% eta(B),
% quotient(
% i(A),B)))))
% -> quotient(quotient(eta(A),quotient(i(quotient(B,j(B))),A)),B)
% Current number of equations to process: 569
% Current number of ordered equations: 0
% Current number of rules: 555
% New rule produced :
% [1484]
% quotient(eta(quotient(quotient(quotient(eta(A),quotient(i(B),i(A))),eta(B)),B)),
% eta(B)) -> quotient(eta(quotient(eta(A),quotient(j(eta(B)),A))),eta(B))
% Current number of equations to process: 568
% Current number of ordered equations: 0
% Current number of rules: 556
% New rule produced :
% [1485]
% quotient(eta(quotient(quotient(quotient(eta(A),quotient(i(B),j(A))),eta(B)),B)),
% eta(B)) -> quotient(eta(quotient(eta(A),quotient(j(eta(B)),A))),eta(B))
% Current number of equations to process: 567
% Current number of ordered equations: 0
% Current number of rules: 557
% New rule produced :
% [1486]
% t(eta(A),quotient(B,difference(eta(A),quotient(eta(C),i(quotient(eta(V_3),
% quotient(j(eta(A)),V_3)))))))
% <-> quotient(t(eta(A),B),quotient(eta(C),i(V_3)))
% Current number of equations to process: 565
% Current number of ordered equations: 1
% Current number of rules: 558
% New rule produced :
% [1487]
% quotient(t(eta(A),B),quotient(eta(C),i(V_3))) <->
% t(eta(A),quotient(B,difference(eta(A),quotient(eta(C),i(quotient(eta(V_3),
% quotient(j(eta(A)),V_3)))))))
% Current number of equations to process: 565
% Current number of ordered equations: 0
% Current number of rules: 559
% New rule produced :
% [1488]
% t(eta(A),difference(B,difference(eta(A),quotient(eta(C),i(quotient(eta(V_3),
% quotient(j(eta(A)),V_3)))))))
% ->
% t(eta(A),difference(B,difference(eta(A),quotient(eta(C),i(quotient(V_3,
% j(eta(A))))))))
% Current number of equations to process: 564
% Current number of ordered equations: 0
% Current number of rules: 560
% New rule produced :
% [1489]
% difference(i(A),quotient(eta(A),i(i(i(B))))) ->
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(quotient(
% i(i(A)),B),
% eta(B)))),A)),i(A))
% Current number of equations to process: 563
% Current number of ordered equations: 0
% Current number of rules: 561
% New rule produced :
% [1490]
% quotient(t(eta(A),B),quotient(eta(A),i(quotient(quotient(eta(C),quotient(
% i(V_3),C)),
% eta(A))))) ->
% t(eta(A),quotient(B,quotient(eta(C),quotient(i(V_3),C))))
% Current number of equations to process: 562
% Current number of ordered equations: 0
% Current number of rules: 562
% New rule produced :
% [1491]
% quotient(eta(A),i(quotient(quotient(quotient(eta(B),quotient(i(C),B)),eta(A)),
% t(eta(A),V_3)))) ->
% t(eta(A),quotient(quotient(eta(B),quotient(i(C),B)),V_3))
% Current number of equations to process: 561
% Current number of ordered equations: 0
% Current number of rules: 563
% New rule produced :
% [1492]
% difference(quotient(eta(A),i(quotient(quotient(eta(B),quotient(i(C),B)),
% eta(A)))),t(eta(A),V_3)) ->
% t(eta(A),difference(quotient(eta(B),quotient(i(C),B)),V_3))
% Current number of equations to process: 560
% Current number of ordered equations: 0
% Current number of rules: 564
% New rule produced :
% [1493]
% quotient(quotient(quotient(eta(A),j(eta(B))),quotient(B,quotient(eta(A),
% j(eta(B))))),
% quotient(eta(A),i(i(B)))) -> quotient(eta(A),j(eta(B)))
% Current number of equations to process: 559
% Current number of ordered equations: 0
% Current number of rules: 565
% New rule produced :
% [1494]
% difference(t(t(i(i(i(i(A)))),i(A)),i(i(i(i(A))))),quotient(eta(A),j(eta(A))))
% -> t(i(i(i(i(A)))),i(A))
% Current number of equations to process: 558
% Current number of ordered equations: 0
% Current number of rules: 566
% New rule produced :
% [1495]
% quotient(quotient(quotient(eta(A),j(eta(B))),quotient(j(B),quotient(eta(A),
% j(eta(B))))),
% quotient(eta(A),i(B))) -> quotient(eta(A),j(eta(B)))
% Current number of equations to process: 557
% Current number of ordered equations: 0
% Current number of rules: 567
% New rule produced :
% [1496]
% difference(t(t(quotient(eta(A),i(B)),j(B)),quotient(eta(A),i(B))),quotient(
% eta(A),
% j(eta(B))))
% -> t(quotient(eta(A),i(B)),j(B))
% Current number of equations to process: 556
% Current number of ordered equations: 0
% Current number of rules: 568
% New rule produced :
% [1497]
% quotient(eta(A),i(quotient(B,quotient(eta(quotient(difference(C,B),B)),
% quotient(i(quotient(eta(A),i(B))),quotient(
% difference(C,B),B))))))
% -> C
% Current number of equations to process: 555
% Current number of ordered equations: 0
% Current number of rules: 569
% New rule produced :
% [1498]
% quotient(quotient(eta(quotient(B,quotient(eta(C),quotient(i(B),C)))),
% quotient(i(quotient(eta(quotient(eta(C),quotient(i(A),C))),quotient(
% i(B),
% quotient(
% eta(C),
% quotient(
% i(A),C))))),
% quotient(B,quotient(eta(C),quotient(i(B),C))))),B) ->
% quotient(quotient(quotient(eta(A),quotient(i(B),A)),C),quotient(B,C))
% Current number of equations to process: 554
% Current number of ordered equations: 0
% Current number of rules: 570
% New rule produced :
% [1499]
% quotient(quotient(eta(A),quotient(i(quotient(B,j(B))),A)),quotient(t(B,
% quotient(
% eta(A),
% quotient(
% i(B),A))),A))
% -> quotient(eta(A),quotient(i(B),A))
% Current number of equations to process: 553
% Current number of ordered equations: 0
% Current number of rules: 571
% New rule produced :
% [1500]
% quotient(quotient(quotient(eta(difference(difference(B,A),C)),quotient(
% i(A),difference(
% difference(B,A),C))),
% difference(B,A)),B) ->
% quotient(quotient(eta(difference(A,B)),quotient(i(quotient(eta(C),quotient(
% i(A),C))),
% difference(A,B))),A)
% Current number of equations to process: 552
% Current number of ordered equations: 0
% Current number of rules: 572
% New rule produced :
% [1501]
% difference(quotient(eta(difference(C,B)),quotient(i(A),difference(C,B))),
% quotient(difference(i(difference(C,B)),B),difference(C,B))) ->
% quotient(difference(A,B),difference(C,B))
% Current number of equations to process: 551
% Current number of ordered equations: 0
% Current number of rules: 573
% New rule produced :
% [1502]
% quotient(eta(A),i(quotient(quotient(eta(B),quotient(i(C),B)),t(quotient(
% eta(A),
% i(B)),C)))) ->
% t(t(quotient(eta(A),i(B)),C),quotient(eta(A),i(B)))
% Current number of equations to process: 549
% Current number of ordered equations: 0
% Current number of rules: 574
% New rule produced :
% [1503]
% quotient(eta(A),i(quotient(quotient(B,j(quotient(eta(A),i(B)))),quotient(
% difference(
% i(quotient(
% eta(A),
% i(B))),B),B))))
% -> quotient(eta(A),i(B))
% Current number of equations to process: 546
% Current number of ordered equations: 0
% Current number of rules: 575
% New rule produced :
% [1504]
% difference(t(t(quotient(eta(A),j(eta(A))),j(A)),quotient(eta(A),j(eta(A)))),
% i(i(i(A)))) -> t(quotient(eta(A),j(eta(A))),j(A))
% Current number of equations to process: 545
% Current number of ordered equations: 0
% Current number of rules: 576
% New rule produced :
% [1505]
% quotient(difference(A,quotient(difference(i(quotient(B,eta(C))),t(eta(C),B)),
% quotient(B,eta(C)))),eta(C)) <->
% difference(j(quotient(i(A),eta(C))),t(eta(C),B))
% Current number of equations to process: 544
% Current number of ordered equations: 1
% Current number of rules: 577
% New rule produced :
% [1506]
% difference(j(quotient(i(A),eta(C))),t(eta(C),B)) <->
% quotient(difference(A,quotient(difference(i(quotient(B,eta(C))),t(eta(C),B)),
% quotient(B,eta(C)))),eta(C))
% Current number of equations to process: 544
% Current number of ordered equations: 0
% Current number of rules: 578
% New rule produced :
% [1507]
% difference(quotient(eta(B),quotient(i(A),i(B))),quotient(eta(B),j(eta(B))))
% ->
% quotient(difference(A,quotient(difference(j(B),quotient(eta(B),j(eta(B)))),
% j(j(B)))),i(B))
% Current number of equations to process: 543
% Current number of ordered equations: 0
% Current number of rules: 579
% New rule produced :
% [1508]
% difference(t(t(t(difference(A,B),B),difference(A,B)),t(difference(A,B),B)),
% difference(difference(B,A),B)) -> t(t(difference(A,B),B),difference(A,B))
% Current number of equations to process: 542
% Current number of ordered equations: 0
% Current number of rules: 580
% New rule produced :
% [1509]
% t(A,t(eta(quotient(A,j(A))),quotient(difference(i(A),j(quotient(i(A),
% eta(quotient(A,j(A)))))),A)))
% -> difference(A,j(j(quotient(A,j(A)))))
% Current number of equations to process: 541
% Current number of ordered equations: 0
% Current number of rules: 581
% New rule produced :
% [1510]
% difference(i(A),quotient(eta(A),i(quotient(eta(A),i(B))))) ->
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(i(A)),B))),
% j(j(A)))),i(A))
% Rule
% [721]
% quotient(quotient(quotient(difference(i(A),quotient(eta(A),i(quotient(
% eta(A),i(
% quotient(A,
% j(A))))))),A),A),
% j(A)) -> difference(j(A),i(i(A))) collapsed.
% Current number of equations to process: 541
% Current number of ordered equations: 0
% Current number of rules: 581
% New rule produced :
% [1511]
% i(quotient(quotient(difference(i(A),t(quotient(eta(A),B),B)),i(A)),A)) ->
% quotient(quotient(eta(A),B),A)
% Current number of equations to process: 539
% Current number of ordered equations: 0
% Current number of rules: 582
% New rule produced :
% [1512]
% t(eta(A),quotient(B,quotient(eta(quotient(eta(C),quotient(j(eta(A)),C))),
% eta(A)))) <->
% quotient(t(eta(A),B),quotient(eta(C),eta(A)))
% Current number of equations to process: 536
% Current number of ordered equations: 1
% Current number of rules: 583
% New rule produced :
% [1513]
% quotient(t(eta(A),B),quotient(eta(C),eta(A))) <->
% t(eta(A),quotient(B,quotient(eta(quotient(eta(C),quotient(j(eta(A)),C))),
% eta(A))))
% Current number of equations to process: 536
% Current number of ordered equations: 0
% Current number of rules: 584
% New rule produced :
% [1514]
% t(eta(A),t(t(quotient(difference(eta(A),B),C),C),quotient(difference(
% eta(A),B),C))) ->
% t(t(quotient(quotient(B,eta(A)),t(eta(A),C)),t(eta(A),C)),quotient(quotient(B,
% eta(A)),
% t(eta(A),C)))
% Current number of equations to process: 535
% Current number of ordered equations: 0
% Current number of rules: 585
% New rule produced :
% [1515]
% t(eta(A),quotient(quotient(eta(quotient(eta(B),quotient(j(eta(A)),B))),
% eta(A)),C)) ->
% quotient(quotient(eta(B),eta(A)),t(eta(A),C))
% Current number of equations to process: 534
% Current number of ordered equations: 0
% Current number of rules: 586
% New rule produced :
% [1516]
% quotient(quotient(quotient(A,eta(B)),t(eta(B),quotient(C,difference(eta(B),A)))),
% quotient(quotient(A,eta(B)),t(eta(B),C))) -> quotient(A,eta(B))
% Current number of equations to process: 532
% Current number of ordered equations: 1
% Current number of rules: 587
% New rule produced :
% [1517]
% quotient(quotient(t(eta(A),B),quotient(quotient(C,eta(A)),t(eta(A),B))),
% t(eta(A),quotient(B,difference(eta(A),C)))) -> t(eta(A),B)
% Current number of equations to process: 532
% Current number of ordered equations: 0
% Current number of rules: 588
% New rule produced :
% [1518]
% t(eta(A),difference(quotient(eta(quotient(eta(B),quotient(j(eta(A)),B))),
% eta(A)),C)) ->
% difference(quotient(eta(B),eta(A)),t(eta(A),C))
% Current number of equations to process: 530
% Current number of ordered equations: 0
% Current number of rules: 589
% New rule produced :
% [1519]
% t(j(j(A)),quotient(eta(quotient(eta(B),quotient(j(eta(A)),B))),eta(A))) <->
% quotient(quotient(eta(A),quotient(j(eta(B)),A)),j(j(A)))
% Current number of equations to process: 528
% Current number of ordered equations: 1
% Current number of rules: 590
% New rule produced :
% [1520]
% quotient(quotient(eta(A),quotient(j(eta(B)),A)),j(j(A))) <->
% t(j(j(A)),quotient(eta(quotient(eta(B),quotient(j(eta(A)),B))),eta(A)))
% Current number of equations to process: 528
% Current number of ordered equations: 0
% Current number of rules: 591
% New rule produced :
% [1521]
% difference(t(t(quotient(eta(A),i(i(B))),B),quotient(eta(A),i(i(B)))),
% quotient(eta(A),j(eta(B)))) -> t(quotient(eta(A),i(i(B))),B)
% Current number of equations to process: 527
% Current number of ordered equations: 0
% Current number of rules: 592
% New rule produced :
% [1522]
% difference(A,difference(i(quotient(A,B)),quotient(difference(i(B),A),B))) ->
% quotient(A,B)
% Current number of equations to process: 546
% Current number of ordered equations: 0
% Current number of rules: 593
% New rule produced :
% [1523]
% quotient(difference(i(quotient(A,B)),quotient(difference(i(B),A),B)),A) ->
% t(A,quotient(A,B))
% Current number of equations to process: 549
% Current number of ordered equations: 0
% Current number of rules: 594
% Rule [1470]
% difference(quotient(eta(B),quotient(i(A),B)),i(B)) ->
% quotient(difference(A,quotient(difference(i(i(quotient(B,j(B)))),i(B)),
% i(quotient(B,j(B))))),B) is composed into
% [1470]
% difference(quotient(eta(B),quotient(i(A),B)),i(B)) ->
% quotient(difference(A,j(B)),B)
% New rule produced :
% [1524]
% quotient(difference(i(i(quotient(A,j(A)))),i(A)),i(quotient(A,j(A)))) -> j(A)
% Current number of equations to process: 548
% Current number of ordered equations: 0
% Current number of rules: 595
% New rule produced :
% [1525]
% quotient(difference(eta(A),quotient(difference(i(A),j(j(A))),A)),j(eta(A)))
% -> j(j(A))
% Current number of equations to process: 547
% Current number of ordered equations: 0
% Current number of rules: 596
% New rule produced :
% [1526]
% quotient(difference(i(i(i(i(A)))),j(eta(A))),i(i(i(A)))) ->
% quotient(eta(A),j(eta(A)))
% Current number of equations to process: 546
% Current number of ordered equations: 0
% Current number of rules: 597
% New rule produced :
% [1527]
% difference(t(A,quotient(A,B)),difference(i(quotient(A,B)),quotient(difference(
% i(B),A),B)))
% -> A
% Current number of equations to process: 547
% Current number of ordered equations: 0
% Current number of rules: 598
% New rule produced :
% [1528]
% quotient(difference(i(quotient(A,j(B))),quotient(difference(B,A),j(B))),
% quotient(A,j(B))) -> A
% Current number of equations to process: 546
% Current number of ordered equations: 0
% Current number of rules: 599
% New rule produced :
% [1529]
% quotient(difference(i(quotient(A,eta(B))),quotient(difference(j(eta(B)),A),
% eta(B))),quotient(A,eta(B))) -> A
% Current number of equations to process: 554
% Current number of ordered equations: 0
% Current number of rules: 600
% New rule produced :
% [1530]
% quotient(difference(i(t(A,i(quotient(A,j(A))))),j(A)),t(A,i(quotient(A,j(A)))))
% -> i(A)
% Current number of equations to process: 553
% Current number of ordered equations: 0
% Current number of rules: 601
% New rule produced :
% [1531]
% quotient(difference(i(i(i(A))),i(quotient(j(A),j(j(A))))),i(i(A))) ->
% quotient(eta(A),i(quotient(A,j(A))))
% Current number of equations to process: 552
% Current number of ordered equations: 0
% Current number of rules: 602
% New rule produced :
% [1532]
% quotient(difference(i(quotient(A,B)),quotient(difference(i(B),A),B)),
% t(A,quotient(A,B))) -> t(t(A,quotient(A,B)),A)
% Current number of equations to process: 551
% Current number of ordered equations: 0
% Current number of rules: 603
% New rule produced :
% [1533]
% quotient(difference(j(eta(A)),difference(A,quotient(eta(B),quotient(j(eta(A)),B)))),
% eta(A)) -> quotient(eta(A),i(difference(A,B)))
% Current number of equations to process: 550
% Current number of ordered equations: 0
% Current number of rules: 604
% New rule produced :
% [1534]
% quotient(difference(i(difference(A,B)),quotient(difference(i(B),difference(
% difference(B,A),B)),B)),
% difference(A,B)) -> difference(difference(B,A),B)
% Current number of equations to process: 552
% Current number of ordered equations: 0
% Current number of rules: 605
% New rule produced :
% [1535]
% quotient(difference(i(A),quotient(difference(i(quotient(A,B)),quotient(A,
% quotient(B,A))),
% quotient(A,B))),A) -> quotient(A,quotient(B,A))
% Current number of equations to process: 551
% Current number of ordered equations: 0
% Current number of rules: 606
% New rule produced :
% [1536]
% difference(t(t(A,quotient(A,B)),A),difference(i(quotient(A,B)),quotient(
% difference(
% i(B),A),B)))
% -> t(A,quotient(A,B))
% Current number of equations to process: 550
% Current number of ordered equations: 0
% Current number of rules: 607
% New rule produced :
% [1537]
% quotient(difference(i(t(i(A),eta(A))),quotient(difference(i(i(A)),j(A)),i(A))),
% t(i(A),eta(A))) -> j(A)
% Current number of equations to process: 549
% Current number of ordered equations: 0
% Current number of rules: 608
% New rule produced :
% [1538]
% quotient(difference(i(t(quotient(A,B),B)),quotient(difference(i(quotient(A,B)),A),
% quotient(A,B))),t(quotient(A,B),B))
% -> A
% Current number of equations to process: 548
% Current number of ordered equations: 0
% Current number of rules: 609
% New rule produced :
% [1539] quotient(A,t(i(i(A)),eta(A))) -> t(t(i(i(A)),eta(A)),i(i(A)))
% Current number of equations to process: 553
% Current number of ordered equations: 0
% Current number of rules: 610
% New rule produced :
% [1540]
% quotient(eta(A),i(i(i(i(i(i(i(i(A))))))))) -> i(i(i(i(i(i(i(i(i(A)))))))))
% Current number of equations to process: 561
% Current number of ordered equations: 0
% Current number of rules: 611
% New rule produced :
% [1541]
% quotient(difference(j(j(j(A))),quotient(difference(i(A),quotient(j(j(A)),
% i(A))),A)),j(
% j(
% j(j(A)))))
% -> quotient(j(j(A)),i(A))
% Current number of equations to process: 567
% Current number of ordered equations: 0
% Current number of rules: 612
% New rule produced :
% [1542]
% quotient(difference(i(quotient(A,B)),quotient(difference(i(B),A),B)),
% t(t(A,quotient(A,B)),A)) -> t(t(t(A,quotient(A,B)),A),t(A,quotient(A,B)))
% Current number of equations to process: 566
% Current number of ordered equations: 0
% Current number of rules: 613
% New rule produced :
% [1543]
% quotient(eta(A),i(quotient(quotient(eta(A),quotient(i(B),A)),A))) ->
% quotient(eta(t(i(i(A)),B)),quotient(j(eta(A)),t(i(i(A)),B)))
% Current number of equations to process: 566
% Current number of ordered equations: 0
% Current number of rules: 614
% New rule produced :
% [1544]
% quotient(eta(A),quotient(i(quotient(eta(B),i(quotient(quotient(eta(C),
% quotient(j(eta(V_3)),C)),
% eta(V_3))))),A)) ->
% quotient(eta(A),quotient(i(quotient(eta(B),i(C))),A))
% Current number of equations to process: 565
% Current number of ordered equations: 0
% Current number of rules: 615
% New rule produced :
% [1545]
% difference(quotient(eta(A),quotient(i(B),A)),quotient(quotient(quotient(
% eta(difference(
% i(A),B)),
% quotient(
% i(quotient(
% eta(
% quotient(
% eta(C),
% quotient(
% i(A),C))),
% quotient(
% i(i(A)),
% quotient(
% eta(C),
% quotient(
% i(A),C))))),
% difference(
% i(A),B))),
% i(A)),A)) -> C
% Current number of equations to process: 564
% Current number of ordered equations: 0
% Current number of rules: 616
% New rule produced :
% [1546]
% t(quotient(eta(A),quotient(i(B),A)),quotient(quotient(quotient(eta(difference(B,C)),
% quotient(i(quotient(
% eta(A),
% quotient(
% i(B),A))),
% difference(B,C))),B),A))
% ->
% quotient(quotient(eta(A),quotient(i(C),A)),quotient(eta(A),quotient(i(B),A)))
% Current number of equations to process: 563
% Current number of ordered equations: 0
% Current number of rules: 617
% New rule produced :
% [1547]
% quotient(quotient(eta(quotient(difference(A,t(A,B)),t(A,B))),quotient(
% i(quotient(
% eta(C),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),C))),
% quotient(
% difference(A,
% t(A,B)),
% t(A,B)))),
% quotient(eta(A),quotient(i(B),A))) <->
% quotient(quotient(quotient(eta(difference(A,C)),quotient(i(quotient(eta(
% t(A,B)),
% quotient(i(A),
% t(A,B)))),
% difference(A,C))),A),
% t(A,B))
% Current number of equations to process: 562
% Current number of ordered equations: 1
% Current number of rules: 618
% New rule produced :
% [1548]
% quotient(quotient(quotient(eta(difference(A,C)),quotient(i(quotient(eta(
% t(A,B)),
% quotient(i(A),
% t(A,B)))),
% difference(A,C))),A),
% t(A,B)) <->
% quotient(quotient(eta(quotient(difference(A,t(A,B)),t(A,B))),quotient(
% i(quotient(
% eta(C),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),C))),
% quotient(
% difference(A,
% t(A,B)),
% t(A,B)))),
% quotient(eta(A),quotient(i(B),A)))
% Current number of equations to process: 562
% Current number of ordered equations: 0
% Current number of rules: 619
% New rule produced :
% [1549]
% quotient(quotient(A,quotient(quotient(difference(B,A),A),A)),B) ->
% quotient(quotient(eta(A),quotient(i(quotient(eta(A),quotient(i(B),A))),A)),B)
% Current number of equations to process: 561
% Current number of ordered equations: 0
% Current number of rules: 620
% New rule produced :
% [1550]
% quotient(difference(A,eta(B)),t(i(quotient(eta(B),quotient(i(A),B))),B)) ->
% t(t(i(quotient(eta(B),quotient(i(A),B))),B),i(quotient(eta(B),quotient(
% i(A),B))))
% Current number of equations to process: 560
% Current number of ordered equations: 0
% Current number of rules: 621
% New rule produced :
% [1551]
% t(eta(A),quotient(B,quotient(eta(A),quotient(eta(quotient(C,eta(A))),
% quotient(j(eta(A)),quotient(C,eta(A)))))))
% -> t(eta(A),quotient(B,quotient(eta(A),C)))
% Current number of equations to process: 559
% Current number of ordered equations: 0
% Current number of rules: 622
% New rule produced :
% [1552]
% t(eta(A),difference(B,quotient(eta(A),quotient(eta(quotient(C,eta(A))),
% quotient(j(eta(A)),quotient(C,eta(A)))))))
% -> t(eta(A),difference(B,quotient(eta(A),C)))
% Current number of equations to process: 558
% Current number of ordered equations: 0
% Current number of rules: 623
% New rule produced :
% [1553]
% quotient(quotient(quotient(A,t(A,quotient(A,quotient(eta(B),quotient(i(A),B))))),
% quotient(t(quotient(A,B),B),quotient(A,t(A,quotient(A,quotient(
% eta(B),
% quotient(
% i(A),B))))))),A)
% -> quotient(A,t(A,quotient(A,quotient(eta(B),quotient(i(A),B)))))
% Current number of equations to process: 557
% Current number of ordered equations: 0
% Current number of rules: 624
% New rule produced :
% [1554]
% quotient(eta(A),i(quotient(quotient(eta(B),quotient(quotient(i(C),B),eta(B))),
% quotient(eta(A),i(i(i(B))))))) ->
% t(quotient(eta(A),i(i(i(B)))),C)
% Current number of equations to process: 556
% Current number of ordered equations: 0
% Current number of rules: 625
% New rule produced :
% [1555]
% quotient(quotient(A,quotient(eta(B),i(i(i(C))))),quotient(A,quotient(
% eta(B),i(
% quotient(
% eta(C),
% quotient(
% quotient(
% i(A),C),
% eta(C)))))))
% -> A
% Current number of equations to process: 555
% Current number of ordered equations: 0
% Current number of rules: 626
% New rule produced :
% [1556]
% quotient(eta(t(eta(B),C)),t(eta(B),quotient(i(V_3),C))) ->
% t(eta(B),quotient(eta(C),quotient(i(V_3),C)))
% Current number of equations to process: 554
% Current number of ordered equations: 0
% Current number of rules: 627
% New rule produced :
% [1557]
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(C),B))),
% j(j(A)))),j(j(A))) ->
% t(j(j(A)),quotient(eta(B),quotient(i(C),B)))
% Current number of equations to process: 553
% Current number of ordered equations: 0
% Current number of rules: 628
% New rule produced :
% [1558]
% difference(quotient(eta(t(quotient(B,C),C)),quotient(i(A),t(quotient(B,C),C))),B)
% ->
% quotient(difference(A,quotient(difference(i(quotient(B,C)),B),quotient(B,C))),
% t(quotient(B,C),C))
% Current number of equations to process: 552
% Current number of ordered equations: 0
% Current number of rules: 629
% New rule produced :
% [1559]
% quotient(quotient(A,difference(quotient(eta(A),quotient(i(B),A)),C)),
% quotient(A,difference(B,quotient(difference(i(difference(A,C)),C),difference(A,C)))))
% -> A
% Current number of equations to process: 551
% Current number of ordered equations: 0
% Current number of rules: 630
% New rule produced :
% [1560]
% quotient(difference(i(quotient(A,i(i(B)))),quotient(i(i(B)),difference(
% quotient(A,
% i(i(B))),B))),
% quotient(A,B)) -> t(quotient(A,B),quotient(A,i(i(B))))
% Current number of equations to process: 550
% Current number of ordered equations: 0
% Current number of rules: 631
% New rule produced :
% [1561]
% quotient(quotient(A,j(eta(B))),t(t(t(A,eta(B)),A),t(A,eta(B)))) ->
% t(t(t(t(A,eta(B)),A),t(A,eta(B))),t(t(A,eta(B)),A))
% Current number of equations to process: 549
% Current number of ordered equations: 0
% Current number of rules: 632
% New rule produced :
% [1562]
% quotient(quotient(quotient(eta(difference(i(A),B)),quotient(i(quotient(
% eta(C),
% quotient(
% i(i(A)),C))),
% difference(i(A),B))),
% i(A)),A) ->
% quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(i(quotient(C,A)),
% quotient(eta(A),quotient(
% i(B),A))))
% Rule
% [1454]
% quotient(difference(B,quotient(quotient(quotient(eta(difference(i(B),C)),
% quotient(i(quotient(eta(quotient(
% eta(A),
% quotient(
% i(B),A))),
% quotient(i(i(B)),quotient(
% eta(A),
% quotient(
% i(B),A))))),
% difference(i(B),C))),i(B)),B)),A) ->
% quotient(quotient(quotient(eta(C),quotient(i(quotient(eta(A),quotient(i(B),A))),C)),B),A)
% collapsed.
% Rule
% [1545]
% difference(quotient(eta(A),quotient(i(B),A)),quotient(quotient(quotient(
% eta(difference(
% i(A),B)),
% quotient(
% i(quotient(
% eta(
% quotient(
% eta(C),
% quotient(
% i(A),C))),
% quotient(
% i(i(A)),
% quotient(
% eta(C),
% quotient(
% i(A),C))))),
% difference(
% i(A),B))),
% i(A)),A)) -> C
% collapsed.
% Current number of equations to process: 549
% Current number of ordered equations: 0
% Current number of rules: 631
% New rule produced :
% [1563]
% quotient(difference(A,quotient(eta(B),quotient(j(eta(A)),B))),A) ->
% quotient(quotient(eta(difference(A,B)),quotient(j(eta(A)),difference(A,B))),A)
% Rule
% [1482]
% quotient(quotient(difference(A,quotient(eta(B),quotient(j(eta(A)),B))),A),
% i(A)) ->
% quotient(eta(A),quotient(eta(quotient(i(B),i(A))),quotient(j(eta(A)),
% quotient(i(B),i(A)))))
% collapsed.
% Current number of equations to process: 549
% Current number of ordered equations: 0
% Current number of rules: 631
% New rule produced :
% [1564]
% quotient(quotient(eta(difference(eta(A),B)),quotient(i(t(eta(A),quotient(
% eta(A),
% quotient(
% eta(quotient(
% j(
% eta(A)),A)),
% t(quotient(
% j(eta(A)),A),A))))),
% difference(eta(A),B))),A) ->
% difference(eta(A),B)
% Current number of equations to process: 548
% Current number of ordered equations: 0
% Current number of rules: 632
% New rule produced :
% [1565]
% t(quotient(quotient(difference(i(quotient(eta(A),i(B))),B),B),quotient(
% eta(A),
% i(B))),
% quotient(eta(A),i(B))) -> quotient(difference(i(quotient(eta(A),i(B))),B),B)
% Current number of equations to process: 551
% Current number of ordered equations: 0
% Current number of rules: 633
% New rule produced :
% [1566]
% quotient(difference(i(quotient(quotient(difference(i(A),B),A),quotient(B,A))),B),
% quotient(quotient(difference(i(A),B),A),quotient(B,A))) ->
% quotient(difference(i(A),B),A)
% Current number of equations to process: 550
% Current number of ordered equations: 0
% Current number of rules: 634
% New rule produced :
% [1567]
% quotient(quotient(eta(difference(t(A,B),A)),quotient(i(quotient(eta(B),
% quotient(i(t(A,B)),B))),
% difference(t(A,B),A))),t(A,B)) ->
% A
% Current number of equations to process: 550
% Current number of ordered equations: 0
% Current number of rules: 635
% New rule produced :
% [1568]
% quotient(quotient(quotient(eta(difference(A,B)),quotient(j(eta(A)),difference(A,B))),A),
% i(A)) ->
% quotient(eta(A),quotient(eta(quotient(i(B),i(A))),quotient(j(eta(A)),
% quotient(i(B),i(A)))))
% Current number of equations to process: 549
% Current number of ordered equations: 0
% Current number of rules: 636
% New rule produced :
% [1569]
% quotient(difference(i(i(A)),quotient(eta(A),i(quotient(eta(B),quotient(
% i(i(A)),B))))),
% i(A)) -> quotient(eta(A),quotient(i(B),j(A)))
% Current number of equations to process: 548
% Current number of ordered equations: 0
% Current number of rules: 637
% New rule produced :
% [1570]
% quotient(quotient(quotient(A,quotient(B,A)),quotient(t(A,quotient(A,B)),
% quotient(A,quotient(B,A)))),
% t(t(A,quotient(A,B)),A)) -> quotient(A,quotient(B,A))
% Current number of equations to process: 547
% Current number of ordered equations: 0
% Current number of rules: 638
% New rule produced :
% [1571]
% difference(t(quotient(eta(A),i(i(i(B)))),C),quotient(eta(A),i(quotient(
% eta(B),
% quotient(
% quotient(
% i(C),B),
% eta(B)))))) ->
% quotient(eta(A),i(i(i(B))))
% Current number of equations to process: 546
% Current number of ordered equations: 0
% Current number of rules: 639
% New rule produced :
% [1572]
% t(quotient(difference(i(quotient(eta(A),i(B))),B),B),quotient(quotient(
% difference(
% i(quotient(
% eta(A),
% i(B))),B),B),
% quotient(eta(A),
% i(B)))) -> one
% Current number of equations to process: 545
% Current number of ordered equations: 0
% Current number of rules: 640
% New rule produced :
% [1573]
% quotient(eta(A),i(quotient(quotient(difference(i(B),quotient(j(quotient(
% i(B),eta(
% quotient(
% eta(A),
% i(B))))),
% j(B))),B),B))) ->
% j(j(quotient(eta(A),i(B))))
% Current number of equations to process: 543
% Current number of ordered equations: 0
% Current number of rules: 641
% New rule produced :
% [1574]
% quotient(eta(A),i(quotient(quotient(difference(i(B),j(quotient(i(i(i(B))),
% eta(quotient(eta(A),
% i(B)))))),B),
% eta(B)))) -> j(j(quotient(eta(A),i(B))))
% Current number of equations to process: 542
% Current number of ordered equations: 0
% Current number of rules: 642
% New rule produced :
% [1575]
% quotient(i(i(A)),t(quotient(eta(A),i(quotient(A,j(A)))),j(A))) ->
% t(t(quotient(eta(A),i(quotient(A,j(A)))),j(A)),quotient(eta(A),i(quotient(A,
% j(A)))))
% Current number of equations to process: 541
% Current number of ordered equations: 0
% Current number of rules: 643
% New rule produced :
% [1576]
% quotient(difference(i(i(quotient(A,j(A)))),quotient(eta(A),i(i(quotient(A,
% j(A)))))),
% i(quotient(A,j(A)))) ->
% difference(A,quotient(eta(A),quotient(j(eta(A)),i(A))))
% Current number of equations to process: 540
% Current number of ordered equations: 0
% Current number of rules: 644
% New rule produced :
% [1577]
% quotient(eta(B),quotient(i(quotient(eta(B),quotient(i(A),B))),j(B))) ->
% quotient(quotient(A,B),j(B))
% Current number of equations to process: 538
% Current number of ordered equations: 0
% Current number of rules: 645
% New rule produced :
% [1578]
% quotient(quotient(eta(A),quotient(i(quotient(B,j(B))),A)),quotient(eta(A),
% quotient(i(B),A)))
% ->
% t(quotient(eta(A),quotient(i(B),A)),quotient(t(B,quotient(eta(A),quotient(
% i(B),A))),A))
% Current number of equations to process: 537
% Current number of ordered equations: 0
% Current number of rules: 646
% New rule produced :
% [1579]
% quotient(quotient(quotient(eta(difference(j(A),B)),quotient(j(eta(A)),
% difference(j(A),B))),
% j(A)),A) ->
% quotient(eta(A),quotient(eta(quotient(i(B),A)),quotient(j(eta(A)),quotient(
% i(B),A))))
% Current number of equations to process: 536
% Current number of ordered equations: 0
% Current number of rules: 647
% New rule produced :
% [1580]
% t(eta(A),quotient(t(eta(A),t(quotient(eta(A),quotient(B,j(eta(A)))),quotient(B,
% j(
% eta(A))))),
% t(quotient(eta(A),B),B))) -> eta(A)
% Current number of equations to process: 535
% Current number of ordered equations: 0
% Current number of rules: 648
% New rule produced :
% [1581]
% quotient(t(eta(B),C),quotient(quotient(C,eta(B)),t(eta(B),C))) ->
% quotient(eta(t(eta(B),C)),t(eta(B),quotient(j(eta(B)),C)))
% Rule
% [976]
% quotient(quotient(t(eta(A),B),quotient(quotient(B,eta(A)),t(eta(A),B))),
% eta(A)) -> t(eta(A),B) collapsed.
% Rule
% [1466]
% t(eta(A),difference(t(B,eta(A)),difference(eta(A),quotient(quotient(t(
% eta(A),B),
% quotient(quotient(B,
% eta(A)),
% t(eta(A),B))),
% j(eta(A)))))) ->
% t(eta(A),B) collapsed.
% Current number of equations to process: 536
% Current number of ordered equations: 0
% Current number of rules: 647
% New rule produced :
% [1582]
% quotient(quotient(eta(t(eta(A),B)),t(eta(A),quotient(j(eta(A)),B))),eta(A))
% -> t(eta(A),B)
% Current number of equations to process: 535
% Current number of ordered equations: 0
% Current number of rules: 648
% New rule produced :
% [1583]
% quotient(difference(i(t(A,B)),quotient(quotient(difference(i(A),t(A,B)),i(A)),A)),
% t(A,B)) -> quotient(eta(A),quotient(i(B),A))
% Current number of equations to process: 535
% Current number of ordered equations: 0
% Current number of rules: 649
% New rule produced :
% [1584]
% difference(eta(A),quotient(quotient(difference(i(A),quotient(j(A),j(j(A)))),
% i(A)),A)) -> quotient(j(eta(A)),A)
% Current number of equations to process: 534
% Current number of ordered equations: 0
% Current number of rules: 650
% Rule [1281]
% difference(i(A),quotient(eta(A),i(quotient(B,i(A))))) ->
% quotient(quotient(quotient(difference(i(A),B),i(A)),A),i(A)) is composed into
% [1281]
% difference(i(A),quotient(eta(A),i(quotient(B,i(A))))) ->
% quotient(quotient(eta(A),quotient(i(B),A)),i(A))
% New rule produced :
% [1585]
% quotient(quotient(difference(i(A),B),i(A)),A) ->
% quotient(eta(A),quotient(i(B),A))
% Rule
% [1455]
% i(quotient(quotient(difference(i(A),t(eta(A),B)),i(A)),A)) ->
% i(quotient(eta(A),quotient(i(t(eta(A),B)),A))) collapsed.
% Rule
% [1511]
% i(quotient(quotient(difference(i(A),t(quotient(eta(A),B),B)),i(A)),A)) ->
% quotient(quotient(eta(A),B),A) collapsed.
% Rule
% [1583]
% quotient(difference(i(t(A,B)),quotient(quotient(difference(i(A),t(A,B)),i(A)),A)),
% t(A,B)) -> quotient(eta(A),quotient(i(B),A)) collapsed.
% Rule
% [1584]
% difference(eta(A),quotient(quotient(difference(i(A),quotient(j(A),j(j(A)))),
% i(A)),A)) -> quotient(j(eta(A)),A) collapsed.
% Current number of equations to process: 536
% Current number of ordered equations: 0
% Current number of rules: 647
% New rule produced :
% [1586]
% i(quotient(eta(A),quotient(i(t(quotient(eta(A),B),B)),A))) ->
% quotient(quotient(eta(A),B),A)
% Current number of equations to process: 535
% Current number of ordered equations: 0
% Current number of rules: 648
% Rule [1172]
% quotient(t(eta(A),B),i(A)) <->
% t(eta(A),quotient(B,difference(eta(A),j(A)))) is composed into [1172]
% quotient(
% t(
% eta(A),B),
% i(A)) ->
% t(
% eta(A),
% quotient(B,
% quotient(
% j(
% eta(A)),A)))
% New rule produced : [1587] difference(eta(A),j(A)) -> quotient(j(eta(A)),A)
% Rule
% [1171]
% t(eta(A),quotient(B,difference(eta(A),j(A)))) <-> quotient(t(eta(A),B),i(A))
% collapsed.
% Current number of equations to process: 534
% Current number of ordered equations: 0
% Current number of rules: 648
% Rule [1547]
% quotient(quotient(eta(quotient(difference(A,t(A,B)),t(A,B))),quotient(
% i(quotient(
% eta(C),
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% i(B),A))),C))),
% quotient(
% difference(A,
% t(A,B)),
% t(A,B)))),
% quotient(eta(A),quotient(i(B),A))) <->
% quotient(quotient(quotient(eta(difference(A,C)),quotient(i(quotient(
% eta(t(A,B)),
% quotient(
% i(A),
% t(A,B)))),
% difference(A,C))),A),
% t(A,B)) is composed into [1547]
% quotient(quotient(eta(quotient(difference(A,
% t(A,B)),
% t(A,B))),quotient(
% i(quotient(
% eta(C),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),C))),
% quotient(
% difference(A,
% t(A,B)),
% t(A,B)))),
% quotient(eta(A),quotient(i(B),A))) <->
% quotient(quotient(quotient(eta(difference(A,C)),
% quotient(i(quotient(eta(A),
% quotient(i(B),A))),
% difference(A,C))),A),
% t(A,B))
% New rule produced :
% [1588]
% quotient(eta(t(A,B)),quotient(i(A),t(A,B))) ->
% quotient(eta(A),quotient(i(B),A))
% Rule
% [1449]
% quotient(t(A,quotient(eta(t(A,B)),quotient(i(A),t(A,B)))),t(A,B)) ->
% quotient(t(A,quotient(eta(A),quotient(i(B),A))),t(A,B)) collapsed.
% Rule
% [1472]
% t(A,quotient(A,quotient(eta(t(A,quotient(A,B))),quotient(i(A),t(A,quotient(A,B))))))
% -> t(A,t(quotient(A,quotient(B,A)),quotient(B,A))) collapsed.
% Rule
% [1548]
% quotient(quotient(quotient(eta(difference(A,C)),quotient(i(quotient(eta(
% t(A,B)),
% quotient(i(A),
% t(A,B)))),
% difference(A,C))),A),
% t(A,B)) <->
% quotient(quotient(eta(quotient(difference(A,t(A,B)),t(A,B))),quotient(
% i(quotient(
% eta(C),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),C))),
% quotient(
% difference(A,
% t(A,B)),
% t(A,B)))),
% quotient(eta(A),quotient(i(B),A))) collapsed.
% Current number of equations to process: 534
% Current number of ordered equations: 0
% Current number of rules: 646
% New rule produced :
% [1589]
% quotient(quotient(quotient(eta(A),quotient(i(B),A)),t(quotient(eta(A),
% quotient(i(B),A)),
% quotient(difference(B,A),A))),
% t(A,B)) -> quotient(eta(A),quotient(i(B),A))
% Current number of equations to process: 533
% Current number of ordered equations: 0
% Current number of rules: 647
% New rule produced :
% [1590]
% difference(t(t(quotient(eta(A),i(B)),C),quotient(eta(A),i(B))),quotient(
% eta(A),
% i(quotient(
% eta(B),
% quotient(
% i(C),B)))))
% -> t(quotient(eta(A),i(B)),C)
% Current number of equations to process: 532
% Current number of ordered equations: 0
% Current number of rules: 648
% New rule produced :
% [1591]
% j(t(quotient(eta(A),i(quotient(eta(B),quotient(i(quotient(eta(A),i(B))),B)))),
% quotient(difference(quotient(eta(A),i(B)),B),B))) -> quotient(eta(A),i(B))
% Current number of equations to process: 531
% Current number of ordered equations: 0
% Current number of rules: 649
% New rule produced :
% [1592]
% t(eta(A),quotient(B,difference(eta(A),difference(C,quotient(difference(
% i(difference(
% eta(A),V_3)),V_3),
% difference(eta(A),V_3))))))
% <-> quotient(t(eta(A),B),difference(j(quotient(i(C),eta(A))),V_3))
% Current number of equations to process: 530
% Current number of ordered equations: 1
% Current number of rules: 650
% New rule produced :
% [1593]
% quotient(t(eta(A),B),difference(j(quotient(i(C),eta(A))),V_3)) <->
% t(eta(A),quotient(B,difference(eta(A),difference(C,quotient(difference(
% i(difference(
% eta(A),V_3)),V_3),
% difference(eta(A),V_3))))))
% Current number of equations to process: 530
% Current number of ordered equations: 0
% Current number of rules: 651
% New rule produced :
% [1594]
% quotient(t(A,quotient(A,quotient(eta(B),quotient(i(A),B)))),quotient(
% quotient(A,B),
% difference(
% i(quotient(A,B)),
% quotient(
% difference(
% i(B),A),B)))) ->
% quotient(A,B)
% Current number of equations to process: 529
% Current number of ordered equations: 0
% Current number of rules: 652
% New rule produced :
% [1595]
% difference(t(t(t(A,quotient(A,B)),A),t(A,quotient(A,B))),difference(i(
% quotient(A,B)),
% quotient(difference(
% i(B),A),B)))
% -> t(t(A,quotient(A,B)),A)
% Current number of equations to process: 528
% Current number of ordered equations: 0
% Current number of rules: 653
% Rule [1593]
% quotient(t(eta(A),B),difference(j(quotient(i(C),eta(A))),V_3)) <->
% t(eta(A),quotient(B,difference(eta(A),difference(C,quotient(difference(
% i(difference(
% eta(A),V_3)),V_3),
% difference(eta(A),V_3)))))) is composed into
% [1593]
% quotient(t(eta(A),B),difference(j(quotient(i(C),eta(A))),V_3)) <->
% t(eta(A),quotient(B,quotient(j(quotient(i(quotient(eta(difference(C,quotient(
% difference(
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(V_3),
% quotient(
% j(A),V_3))),
% j(
% eta(A)))),
% j(
% j(A)))),V_3),
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(V_3),
% quotient(
% j(A),V_3))),
% j(
% eta(A)))),
% j(
% j(A)))))),
% quotient(j(A),difference(C,
% quotient(difference(
% i(quotient(
% j(
% quotient(
% i(
% quotient(
% eta(V_3),
% quotient(
% j(A),V_3))),
% j(
% eta(A)))),
% j(
% j(A)))),V_3),
% quotient(j(quotient(
% i(
% quotient(
% eta(V_3),
% quotient(
% j(A),V_3))),
% j(
% eta(A)))),
% j(j(A)))))))),
% j(eta(A)))),j(j(A)))))
% Rule [1487]
% quotient(t(eta(A),B),quotient(eta(C),i(V_3))) <->
% t(eta(A),quotient(B,difference(eta(A),quotient(eta(C),i(quotient(
% eta(V_3),
% quotient(
% j(eta(A)),V_3))))))) is composed into
% [1487]
% quotient(t(eta(A),B),quotient(eta(C),i(V_3))) <->
% t(eta(A),quotient(B,quotient(j(quotient(i(quotient(eta(quotient(eta(C),
% i(quotient(eta(V_3),
% quotient(j(eta(A)),V_3))))),
% quotient(j(A),quotient(eta(C),
% i(quotient(eta(V_3),
% quotient(j(eta(A)),V_3))))))),
% j(eta(A)))),j(j(A)))))
% Rule [1412]
% quotient(eta(t(eta(A),B)),quotient(i(quotient(C,eta(A))),t(eta(A),B)))
% <-> t(eta(A),quotient(eta(B),quotient(i(difference(eta(A),C)),B))) is composed into
% [1412]
% quotient(eta(t(eta(A),B)),quotient(i(quotient(C,eta(A))),t(eta(A),B))) <->
% t(eta(A),quotient(eta(B),quotient(i(quotient(j(quotient(i(quotient(eta(C),
% quotient(j(A),C))),
% j(eta(A)))),j(j(A)))),B)))
% Rule [1384]
% difference(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(V_3,eta(A)))
% <->
% t(eta(A),difference(quotient(B,difference(eta(A),C)),difference(
% eta(A),V_3))) is composed into
% [1384]
% difference(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(V_3,eta(A))) <->
% t(eta(A),difference(quotient(B,quotient(j(quotient(i(quotient(eta(C),
% quotient(j(A),C))),
% j(eta(A)))),j(j(A)))),quotient(
% j(quotient(
% i(quotient(
% eta(V_3),
% quotient(
% j(A),V_3))),
% j(eta(A)))),
% j(j(A)))))
% Rule [1382]
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(V_3,eta(A)))
% <->
% t(eta(A),quotient(quotient(B,difference(eta(A),C)),difference(eta(A),V_3))) is composed into
% [1382]
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(V_3,eta(A))) <->
% t(eta(A),quotient(quotient(B,quotient(j(quotient(i(quotient(eta(C),quotient(
% j(A),C))),
% j(eta(A)))),j(j(A)))),quotient(
% j(quotient(
% i(quotient(
% eta(V_3),
% quotient(
% j(A),V_3))),
% j(eta(A)))),
% j(j(A)))))
% Rule [1380]
% t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A))) <->
% t(eta(A),t(quotient(B,difference(eta(A),C)),difference(eta(A),C))) is composed into
% [1380]
% t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A))) <->
% t(eta(A),t(quotient(B,quotient(j(quotient(i(quotient(eta(C),quotient(j(A),C))),
% j(eta(A)))),j(j(A)))),quotient(j(quotient(
% i(quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(eta(A)))),
% j(j(A)))))
% Rule [1343]
% quotient(eta(A),i(quotient(t(eta(A),B),quotient(C,eta(A))))) <->
% t(eta(A),quotient(eta(A),i(quotient(B,difference(eta(A),C))))) is composed into
% [1343]
% quotient(eta(A),i(quotient(t(eta(A),B),quotient(C,eta(A))))) <->
% t(eta(A),quotient(eta(A),i(quotient(B,quotient(j(quotient(i(quotient(
% eta(C),quotient(
% j(A),C))),
% j(eta(A)))),j(j(A)))))))
% Rule [1340]
% t(t(eta(A),B),difference(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),t(B,difference(difference(eta(A),C),V_3))) is composed into
% [1340]
% t(t(eta(A),B),difference(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),t(B,difference(quotient(j(quotient(i(quotient(eta(C),quotient(
% j(A),C))),
% j(eta(A)))),j(j(A))),V_3)))
% Rule [1337]
% t(t(eta(A),B),quotient(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),t(B,quotient(difference(eta(A),C),V_3))) is composed into
% [1337]
% t(t(eta(A),B),quotient(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),t(B,quotient(quotient(j(quotient(i(quotient(eta(C),quotient(j(A),C))),
% j(eta(A)))),j(j(A))),V_3)))
% Rule [1335]
% t(quotient(t(eta(A),B),quotient(C,eta(A))),t(eta(A),V_3)) <->
% t(eta(A),t(quotient(B,difference(eta(A),C)),V_3)) is composed into
% [1335]
% t(quotient(t(eta(A),B),quotient(C,eta(A))),t(eta(A),V_3)) <->
% t(eta(A),t(quotient(B,quotient(j(quotient(i(quotient(eta(C),quotient(j(A),C))),
% j(eta(A)))),j(j(A)))),V_3))
% Rule [1334]
% t(t(eta(A),B),quotient(t(eta(A),C),quotient(V_3,eta(A)))) <->
% t(eta(A),t(B,quotient(C,difference(eta(A),V_3)))) is composed into
% [1334]
% t(t(eta(A),B),quotient(t(eta(A),C),quotient(V_3,eta(A)))) <->
% t(eta(A),t(B,quotient(C,quotient(j(quotient(i(quotient(eta(V_3),quotient(
% j(A),V_3))),
% j(eta(A)))),j(j(A))))))
% Rule [1329]
% quotient(t(eta(A),B),difference(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),quotient(B,difference(difference(eta(A),C),V_3))) is composed into
% [1329]
% quotient(t(eta(A),B),difference(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),quotient(B,difference(quotient(j(quotient(i(quotient(eta(C),
% quotient(j(A),C))),
% j(eta(A)))),j(j(A))),V_3)))
% Rule [1326]
% quotient(t(eta(A),B),difference(C,eta(A))) <->
% t(eta(A),quotient(B,difference(eta(A),difference(difference(eta(A),C),
% eta(A))))) is composed into
% [1326]
% quotient(t(eta(A),B),difference(C,eta(A))) <->
% t(eta(A),quotient(B,quotient(j(quotient(i(quotient(eta(difference(quotient(
% j(quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(j(A))),
% eta(A))),quotient(
% j(A),
% difference(
% quotient(
% j(quotient(
% i(quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(eta(A)))),
% j(j(A))),
% eta(A))))),
% j(eta(A)))),j(j(A)))))
% Rule [1323]
% quotient(t(eta(A),B),quotient(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),quotient(B,quotient(difference(eta(A),C),V_3))) is composed into
% [1323]
% quotient(t(eta(A),B),quotient(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),quotient(B,quotient(quotient(j(quotient(i(quotient(eta(C),quotient(
% j(A),C))),
% j(eta(A)))),j(j(A))),V_3)))
% Rule [1319]
% difference(j(eta(A)),quotient(t(eta(A),B),quotient(C,eta(A)))) <->
% t(eta(A),difference(j(eta(A)),quotient(B,difference(eta(A),C)))) is composed into
% [1319]
% difference(j(eta(A)),quotient(t(eta(A),B),quotient(C,eta(A)))) <->
% t(eta(A),difference(j(eta(A)),quotient(B,quotient(j(quotient(i(quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(eta(A)))),j(j(A))))))
% Rule [1317]
% quotient(j(eta(A)),quotient(t(eta(A),B),quotient(C,eta(A)))) <->
% t(eta(A),quotient(j(eta(A)),quotient(B,difference(eta(A),C)))) is composed into
% [1317]
% quotient(j(eta(A)),quotient(t(eta(A),B),quotient(C,eta(A)))) <->
% t(eta(A),quotient(j(eta(A)),quotient(B,quotient(j(quotient(i(quotient(
% eta(C),quotient(
% j(A),C))),
% j(eta(A)))),j(j(A))))))
% Rule [1315]
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),j(eta(A))) <->
% t(eta(A),quotient(quotient(B,difference(eta(A),C)),j(eta(A)))) is composed into
% [1315]
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),j(eta(A))) <->
% t(eta(A),quotient(quotient(B,quotient(j(quotient(i(quotient(eta(C),quotient(
% j(A),C))),
% j(eta(A)))),j(j(A)))),j(eta(A))))
% Rule [1313]
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),t(eta(A),V_3)) <->
% t(eta(A),quotient(quotient(B,difference(eta(A),C)),V_3)) is composed into
% [1313]
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),t(eta(A),V_3)) <->
% t(eta(A),quotient(quotient(B,quotient(j(quotient(i(quotient(eta(C),quotient(
% j(A),C))),
% j(eta(A)))),j(j(A)))),V_3))
% Rule [1312]
% quotient(t(eta(A),B),quotient(t(eta(A),C),quotient(V_3,eta(A)))) <->
% t(eta(A),quotient(B,quotient(C,difference(eta(A),V_3)))) is composed into
% [1312]
% quotient(t(eta(A),B),quotient(t(eta(A),C),quotient(V_3,eta(A)))) <->
% t(eta(A),quotient(B,quotient(C,quotient(j(quotient(i(quotient(eta(V_3),
% quotient(j(A),V_3))),
% j(eta(A)))),j(j(A))))))
% Rule [1286]
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),eta(A)) <->
% t(eta(A),quotient(quotient(B,difference(eta(A),C)),eta(A))) is composed into
% [1286]
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),eta(A)) <->
% t(eta(A),quotient(quotient(B,quotient(j(quotient(i(quotient(eta(C),quotient(
% j(A),C))),
% j(eta(A)))),j(j(A)))),eta(A)))
% Rule [1284]
% quotient(eta(A),quotient(t(eta(A),B),quotient(C,eta(A)))) <->
% t(eta(A),quotient(eta(A),quotient(B,difference(eta(A),C)))) is composed into
% [1284]
% quotient(eta(A),quotient(t(eta(A),B),quotient(C,eta(A)))) <->
% t(eta(A),quotient(eta(A),quotient(B,quotient(j(quotient(i(quotient(eta(C),
% quotient(j(A),C))),
% j(eta(A)))),j(j(A))))))
% Rule [1224]
% difference(t(eta(A),B),C) ->
% t(eta(A),difference(B,difference(eta(A),quotient(C,j(eta(A)))))) is composed into
% [1224]
% difference(t(eta(A),B),C) ->
% t(eta(A),difference(B,quotient(j(quotient(i(quotient(eta(quotient(C,j(eta(A)))),
% quotient(j(A),quotient(C,
% j(eta(A)))))),
% j(eta(A)))),j(j(A)))))
% Rule [1223]
% quotient(t(eta(A),B),C) <->
% t(eta(A),quotient(B,difference(eta(A),quotient(C,j(eta(A)))))) is composed into
% [1223]
% quotient(t(eta(A),B),C) <->
% t(eta(A),quotient(B,quotient(j(quotient(i(quotient(eta(quotient(C,j(eta(A)))),
% quotient(j(A),quotient(C,j(eta(A)))))),
% j(eta(A)))),j(j(A)))))
% Rule [1208]
% difference(i(t(eta(A),B)),quotient(C,eta(A))) ->
% t(eta(A),difference(i(B),difference(eta(A),C))) is composed into
% [1208]
% difference(i(t(eta(A),B)),quotient(C,eta(A))) ->
% t(eta(A),difference(i(B),quotient(j(quotient(i(quotient(eta(C),quotient(
% j(A),C))),
% j(eta(A)))),j(j(A)))))
% Rule [1207]
% difference(j(t(eta(A),B)),quotient(C,eta(A))) ->
% t(eta(A),difference(j(B),difference(eta(A),C))) is composed into
% [1207]
% difference(j(t(eta(A),B)),quotient(C,eta(A))) ->
% t(eta(A),difference(j(B),quotient(j(quotient(i(quotient(eta(C),quotient(
% j(A),C))),
% j(eta(A)))),j(j(A)))))
% Rule [1206]
% quotient(i(t(eta(A),B)),quotient(C,eta(A))) <->
% t(eta(A),quotient(i(B),difference(eta(A),C))) is composed into [1206]
% quotient(
% i(
% t(
% eta(A),B)),
% quotient(C,
% eta(A)))
% <->
% t(
% eta(A),
% quotient(
% i(B),
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(
% j(A)))))
% Rule [1204]
% quotient(j(t(eta(A),B)),quotient(C,eta(A))) <->
% t(eta(A),quotient(j(B),difference(eta(A),C))) is composed into [1204]
% quotient(
% j(
% t(
% eta(A),B)),
% quotient(C,
% eta(A)))
% <->
% t(
% eta(A),
% quotient(
% j(B),
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(
% j(A)))))
% Rule [1188]
% quotient(t(eta(A),B),A) <->
% t(eta(A),quotient(B,difference(eta(A),j(j(A))))) is composed into
% [1188]
% quotient(t(eta(A),B),A) <->
% t(eta(A),quotient(B,quotient(j(quotient(i(quotient(eta(j(j(A))),quotient(
% j(A),
% j(j(A))))),
% j(eta(A)))),j(j(A)))))
% Rule [1177]
% t(t(eta(A),B),quotient(C,eta(A))) <->
% t(eta(A),t(B,difference(eta(A),C))) is composed into [1177]
% t(t(eta(A),B),
% quotient(C,
% eta(A))) <->
% t(eta(A),t(B,
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(
% j(A)))))
% Rule [960]
% quotient(difference(i(i(A)),j(eta(A))),i(A)) ->
% quotient(difference(j(eta(A)),x1),difference(eta(A),x1)) is composed into
% [960]
% quotient(difference(i(i(A)),j(eta(A))),i(A)) ->
% quotient(difference(j(eta(A)),x1),quotient(j(quotient(i(quotient(eta(x1),
% quotient(j(A),x1))),
% j(eta(A)))),j(j(A))))
% Rule [307]
% quotient(t(eta(A),B),quotient(C,eta(A))) <->
% t(eta(A),quotient(B,difference(eta(A),C))) is composed into [307]
% quotient(
% t(eta(A),B),
% quotient(C,
% eta(A))) <->
% t(eta(A),
% quotient(B,
% quotient(
% j(quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(j(A)))))
% New rule produced :
% [1596]
% difference(eta(A),B) ->
% quotient(j(quotient(i(quotient(eta(B),quotient(j(A),B))),j(eta(A)))),j(j(A)))
% Rule [216] difference(eta(A),i(i(A))) -> A collapsed.
% Rule [236] difference(eta(A),t(eta(A),B)) -> quotient(B,eta(A)) collapsed.
% Rule
% [273]
% difference(eta(B),eta(A)) ->
% quotient(eta(quotient(eta(A),quotient(j(eta(B)),A))),eta(B)) collapsed.
% Rule
% [305]
% t(eta(A),quotient(B,difference(eta(A),C))) <->
% quotient(t(eta(A),B),quotient(C,eta(A))) collapsed.
% Rule
% [306]
% t(eta(B),quotient(difference(eta(B),A),C)) ->
% quotient(quotient(A,eta(B)),t(eta(B),C)) collapsed.
% Rule
% [310]
% t(eta(B),difference(difference(eta(B),A),C)) ->
% difference(quotient(A,eta(B)),t(eta(B),C)) collapsed.
% Rule
% [366]
% t(j(j(A)),difference(eta(A),B)) ->
% quotient(quotient(eta(A),quotient(i(B),A)),j(j(A))) collapsed.
% Rule
% [850]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(
% i(B),
% quotient(
% difference(
% i(difference(
% eta(B),A)),A),
% difference(
% eta(B),A))),
% eta(B)),A),A))) ->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(
% eta(B),
% i(
% i(B))),A),A),A)))
% collapsed.
% Rule
% [853]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(
% i(i(B)),
% quotient(
% difference(
% i(difference(
% eta(B),A)),A),
% difference(
% eta(B),A))),
% eta(B)),A),A))) ->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(
% eta(B),
% i(
% i(i(B)))),A),A),A)))
% collapsed.
% Rule
% [874]
% difference(A,quotient(difference(j(eta(A)),x1),difference(eta(A),x1))) ->
% j(j(j(A))) collapsed.
% Rule [890] difference(eta(A),A) -> j(j(A)) collapsed.
% Rule [894] difference(eta(A),j(eta(A))) -> i(quotient(eta(A),j(eta(A))))
% collapsed.
% Rule [901] difference(eta(A),i(A)) -> j(A) collapsed.
% Rule [902] difference(eta(A),i(i(i(A)))) -> i(A) collapsed.
% Rule
% [963]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(
% i(i(i(B))),
% quotient(
% difference(
% i(difference(
% eta(B),A)),A),
% difference(
% eta(B),A))),
% eta(B)),A),A))) ->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(i(
% i(
% i(
% i(i(B))))),A),A),A)))
% collapsed.
% Rule
% [970]
% difference(eta(A),quotient(B,eta(A))) ->
% quotient(difference(eta(A),B),eta(A)) collapsed.
% Rule [986] difference(eta(A),j(t(eta(A),B))) -> quotient(j(B),eta(A))
% collapsed.
% Rule [987] difference(eta(A),i(t(eta(A),B))) -> quotient(i(B),eta(A))
% collapsed.
% Rule [1052] difference(eta(A),i(i(i(i(A))))) -> i(i(A)) collapsed.
% Rule
% [1054]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(
% i(i(
% i(i(B)))),
% quotient(
% difference(
% i(difference(
% eta(B),A)),A),
% difference(
% eta(B),A))),
% eta(B)),A),A))) ->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(i(
% i(
% i(
% i(
% i(i(B)))))),A),A),A)))
% collapsed.
% Rule [1126] t(eta(A),eta(difference(eta(A),B))) -> eta(quotient(B,eta(A)))
% collapsed.
% Rule
% [1157]
% quotient(quotient(eta(A),quotient(i(B),A)),difference(eta(A),B)) -> j(j(A))
% collapsed.
% Rule
% [1176]
% t(eta(A),t(B,difference(eta(A),C))) <-> t(t(eta(A),B),quotient(C,eta(A)))
% collapsed.
% Rule
% [1178]
% t(eta(B),t(difference(eta(B),A),C)) -> t(quotient(A,eta(B)),t(eta(B),C))
% collapsed.
% Rule
% [1187]
% t(eta(A),quotient(B,difference(eta(A),j(j(A))))) <-> quotient(t(eta(A),B),A)
% collapsed.
% Rule
% [1197]
% t(j(A),difference(eta(A),B)) ->
% quotient(quotient(eta(A),quotient(i(B),i(A))),j(A)) collapsed.
% Rule
% [1202]
% t(eta(A),difference(j(eta(A)),difference(eta(A),B))) ->
% difference(j(eta(A)),quotient(B,eta(A))) collapsed.
% Rule
% [1203]
% t(eta(A),quotient(j(B),difference(eta(A),C))) <->
% quotient(j(t(eta(A),B)),quotient(C,eta(A))) collapsed.
% Rule
% [1205]
% t(eta(A),quotient(i(B),difference(eta(A),C))) <->
% quotient(i(t(eta(A),B)),quotient(C,eta(A))) collapsed.
% Rule
% [1209]
% difference(eta(A),quotient(quotient(eta(A),j(eta(B))),i(i(B)))) -> i(i(i(B)))
% collapsed.
% Rule
% [1221]
% quotient(quotient(C,eta(A)),t(eta(A),difference(B,difference(eta(A),C)))) ->
% t(eta(A),B) collapsed.
% Rule
% [1222]
% t(eta(A),quotient(B,difference(eta(A),quotient(C,j(eta(A)))))) <->
% quotient(t(eta(A),B),C) collapsed.
% Rule
% [1229]
% difference(eta(A),quotient(t(eta(A),B),quotient(C,eta(A)))) ->
% quotient(quotient(B,difference(eta(A),C)),eta(A)) collapsed.
% Rule
% [1230]
% difference(eta(A),quotient(quotient(B,eta(A)),t(eta(A),C))) ->
% quotient(quotient(difference(eta(A),B),C),eta(A)) collapsed.
% Rule
% [1231]
% quotient(difference(difference(eta(A),B),C),eta(A)) ->
% difference(eta(A),difference(quotient(B,eta(A)),t(eta(A),C))) collapsed.
% Rule
% [1260]
% t(eta(A),quotient(eta(A),i(difference(eta(A),B)))) ->
% quotient(eta(A),i(quotient(B,eta(A)))) collapsed.
% Rule
% [1275]
% t(j(j(j(A))),difference(eta(A),B)) ->
% quotient(quotient(eta(A),quotient(i(B),j(A))),j(j(j(A)))) collapsed.
% Rule
% [1283]
% t(eta(A),quotient(eta(A),quotient(B,difference(eta(A),C)))) <->
% quotient(eta(A),quotient(t(eta(A),B),quotient(C,eta(A)))) collapsed.
% Rule
% [1285]
% t(eta(A),quotient(quotient(B,difference(eta(A),C)),eta(A))) <->
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),eta(A)) collapsed.
% Rule
% [1310]
% t(eta(A),quotient(quotient(B,difference(eta(A),C)),V_3)) <->
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),t(eta(A),V_3)) collapsed.
% Rule
% [1311]
% t(eta(A),quotient(B,quotient(C,difference(eta(A),V_3)))) <->
% quotient(t(eta(A),B),quotient(t(eta(A),C),quotient(V_3,eta(A)))) collapsed.
% Rule
% [1314]
% t(eta(A),quotient(quotient(B,difference(eta(A),C)),j(eta(A)))) <->
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),j(eta(A))) collapsed.
% Rule
% [1316]
% t(eta(A),quotient(j(eta(A)),quotient(B,difference(eta(A),C)))) <->
% quotient(j(eta(A)),quotient(t(eta(A),B),quotient(C,eta(A)))) collapsed.
% Rule
% [1318]
% t(eta(A),difference(j(eta(A)),quotient(B,difference(eta(A),C)))) <->
% difference(j(eta(A)),quotient(t(eta(A),B),quotient(C,eta(A)))) collapsed.
% Rule
% [1321]
% t(eta(A),quotient(B,quotient(difference(eta(A),C),V_3))) <->
% quotient(t(eta(A),B),quotient(quotient(C,eta(A)),t(eta(A),V_3))) collapsed.
% Rule
% [1322]
% t(eta(B),quotient(quotient(difference(eta(B),A),C),V_3)) ->
% quotient(quotient(quotient(A,eta(B)),t(eta(B),C)),t(eta(B),V_3)) collapsed.
% Rule
% [1324]
% t(eta(A),difference(j(eta(A)),quotient(difference(eta(A),B),C))) ->
% difference(j(eta(A)),quotient(quotient(B,eta(A)),t(eta(A),C))) collapsed.
% Rule
% [1325]
% t(eta(A),quotient(B,difference(eta(A),difference(difference(eta(A),C),eta(A)))))
% <-> quotient(t(eta(A),B),difference(C,eta(A))) collapsed.
% Rule
% [1327]
% t(eta(A),quotient(B,difference(difference(eta(A),C),V_3))) <->
% quotient(t(eta(A),B),difference(quotient(C,eta(A)),t(eta(A),V_3))) collapsed.
% Rule
% [1328]
% t(eta(B),quotient(difference(difference(eta(B),A),C),V_3)) ->
% quotient(difference(quotient(A,eta(B)),t(eta(B),C)),t(eta(B),V_3)) collapsed.
% Rule
% [1330]
% t(eta(A),difference(j(eta(A)),difference(difference(eta(A),B),C))) ->
% difference(j(eta(A)),difference(quotient(B,eta(A)),t(eta(A),C))) collapsed.
% Rule
% [1332]
% t(eta(A),t(quotient(B,difference(eta(A),C)),V_3)) <->
% t(quotient(t(eta(A),B),quotient(C,eta(A))),t(eta(A),V_3)) collapsed.
% Rule
% [1333]
% t(eta(A),t(B,quotient(C,difference(eta(A),V_3)))) <->
% t(t(eta(A),B),quotient(t(eta(A),C),quotient(V_3,eta(A)))) collapsed.
% Rule
% [1336]
% t(eta(A),t(B,quotient(difference(eta(A),C),V_3))) <->
% t(t(eta(A),B),quotient(quotient(C,eta(A)),t(eta(A),V_3))) collapsed.
% Rule
% [1338]
% t(eta(B),t(quotient(difference(eta(B),A),C),V_3)) ->
% t(quotient(quotient(A,eta(B)),t(eta(B),C)),t(eta(B),V_3)) collapsed.
% Rule
% [1339]
% t(eta(A),t(B,difference(difference(eta(A),C),V_3))) <->
% t(t(eta(A),B),difference(quotient(C,eta(A)),t(eta(A),V_3))) collapsed.
% Rule
% [1341]
% t(eta(B),t(difference(difference(eta(B),A),C),V_3)) ->
% t(difference(quotient(A,eta(B)),t(eta(B),C)),t(eta(B),V_3)) collapsed.
% Rule
% [1342]
% t(eta(A),quotient(eta(A),i(quotient(B,difference(eta(A),C))))) <->
% quotient(eta(A),i(quotient(t(eta(A),B),quotient(C,eta(A))))) collapsed.
% Rule
% [1344]
% t(eta(A),quotient(eta(A),i(quotient(difference(eta(A),B),C)))) ->
% quotient(eta(A),i(quotient(quotient(B,eta(A)),t(eta(A),C)))) collapsed.
% Rule
% [1345]
% t(eta(A),quotient(eta(A),i(difference(difference(eta(A),B),C)))) ->
% quotient(eta(A),i(difference(quotient(B,eta(A)),t(eta(A),C)))) collapsed.
% Rule
% [1350]
% t(eta(A),difference(B,difference(eta(A),quotient(i(i(i(i(A)))),j(eta(A))))))
% -> t(eta(A),difference(B,A)) collapsed.
% Rule
% [1352]
% quotient(eta(C),i(quotient(eta(difference(eta(C),A)),quotient(i(B),difference(
% eta(C),A)))))
% -> quotient(eta(A),quotient(i(B),A)) collapsed.
% Rule
% [1379]
% t(eta(A),t(quotient(B,difference(eta(A),C)),difference(eta(A),C))) <->
% t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A))) collapsed.
% Rule
% [1381]
% t(eta(A),quotient(quotient(B,difference(eta(A),C)),difference(eta(A),V_3)))
% <-> quotient(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(V_3,eta(A)))
% collapsed.
% Rule
% [1383]
% t(eta(A),difference(quotient(B,difference(eta(A),C)),difference(eta(A),V_3)))
% <-> difference(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(V_3,eta(A)))
% collapsed.
% Rule
% [1385]
% t(eta(B),difference(quotient(difference(eta(B),A),C),difference(eta(B),V_3)))
% -> difference(quotient(quotient(A,eta(B)),t(eta(B),C)),quotient(V_3,eta(B)))
% collapsed.
% Rule
% [1386]
% t(eta(B),difference(difference(difference(eta(B),A),C),difference(eta(B),V_3)))
% ->
% difference(difference(quotient(A,eta(B)),t(eta(B),C)),quotient(V_3,eta(B)))
% collapsed.
% Rule
% [1411]
% t(eta(A),quotient(eta(B),quotient(i(difference(eta(A),C)),B))) <->
% quotient(eta(t(eta(A),B)),quotient(i(quotient(C,eta(A))),t(eta(A),B)))
% collapsed.
% Rule
% [1486]
% t(eta(A),quotient(B,difference(eta(A),quotient(eta(C),i(quotient(eta(V_3),
% quotient(j(eta(A)),V_3)))))))
% <-> quotient(t(eta(A),B),quotient(eta(C),i(V_3))) collapsed.
% Rule
% [1488]
% t(eta(A),difference(B,difference(eta(A),quotient(eta(C),i(quotient(eta(V_3),
% quotient(j(eta(A)),V_3)))))))
% ->
% t(eta(A),difference(B,difference(eta(A),quotient(eta(C),i(quotient(V_3,
% j(eta(A))))))))
% collapsed.
% Rule
% [1514]
% t(eta(A),t(t(quotient(difference(eta(A),B),C),C),quotient(difference(
% eta(A),B),C))) ->
% t(t(quotient(quotient(B,eta(A)),t(eta(A),C)),t(eta(A),C)),quotient(quotient(B,
% eta(A)),
% t(eta(A),C)))
% collapsed.
% Rule
% [1516]
% quotient(quotient(quotient(A,eta(B)),t(eta(B),quotient(C,difference(eta(B),A)))),
% quotient(quotient(A,eta(B)),t(eta(B),C))) -> quotient(A,eta(B)) collapsed.
% Rule
% [1517]
% quotient(quotient(t(eta(A),B),quotient(quotient(C,eta(A)),t(eta(A),B))),
% t(eta(A),quotient(B,difference(eta(A),C)))) -> t(eta(A),B) collapsed.
% Rule
% [1525]
% quotient(difference(eta(A),quotient(difference(i(A),j(j(A))),A)),j(eta(A)))
% -> j(j(A)) collapsed.
% Rule
% [1564]
% quotient(quotient(eta(difference(eta(A),B)),quotient(i(t(eta(A),quotient(
% eta(A),
% quotient(
% eta(quotient(
% j(
% eta(A)),A)),
% t(quotient(
% j(eta(A)),A),A))))),
% difference(eta(A),B))),A) ->
% difference(eta(A),B) collapsed.
% Rule [1587] difference(eta(A),j(A)) -> quotient(j(eta(A)),A) collapsed.
% Rule
% [1592]
% t(eta(A),quotient(B,difference(eta(A),difference(C,quotient(difference(
% i(difference(
% eta(A),V_3)),V_3),
% difference(eta(A),V_3))))))
% <-> quotient(t(eta(A),B),difference(j(quotient(i(C),eta(A))),V_3)) collapsed.
% Current number of equations to process: 604
% Current number of ordered equations: 0
% Current number of rules: 577
% New rule produced :
% [1597]
% quotient(j(quotient(i(quotient(eta(A),i(quotient(A,j(A))))),j(eta(A)))),
% j(j(A))) -> j(j(A))
% Current number of equations to process: 603
% Current number of ordered equations: 0
% Current number of rules: 578
% New rule produced :
% [1598]
% quotient(j(quotient(i(quotient(eta(A),t(i(A),eta(A)))),j(eta(A)))),j(j(A)))
% -> j(A)
% Current number of equations to process: 602
% Current number of ordered equations: 0
% Current number of rules: 579
% Rule [1172]
% quotient(t(eta(A),B),i(A)) ->
% t(eta(A),quotient(B,quotient(j(eta(A)),A))) is composed into [1172]
% quotient(
% t(eta(A),B),
% i(A)) ->
% t(eta(A),
% quotient(B,
% j(j(j(A)))))
% New rule produced : [1599] quotient(j(eta(A)),A) -> j(j(j(A)))
% Rule [1031] quotient(quotient(A,quotient(j(eta(A)),A)),j(j(A))) -> A
% collapsed.
% Rule
% [1035]
% quotient(quotient(j(eta(A)),j(j(A))),quotient(j(eta(A)),A)) -> j(eta(A))
% collapsed.
% Rule [1145] quotient(quotient(eta(A),quotient(j(eta(A)),A)),j(j(A))) -> one
% collapsed.
% Rule [1359] difference(A,quotient(eta(A),quotient(j(eta(A)),A))) -> eta(A)
% collapsed.
% Current number of equations to process: 605
% Current number of ordered equations: 0
% Current number of rules: 576
% New rule produced :
% [1600] difference(A,quotient(eta(A),j(j(j(A))))) -> eta(A)
% Current number of equations to process: 604
% Current number of ordered equations: 0
% Current number of rules: 577
% New rule produced : [1601] quotient(quotient(A,j(j(j(A)))),j(j(A))) -> A
% Current number of equations to process: 603
% Current number of ordered equations: 0
% Current number of rules: 578
% New rule produced :
% [1602] quotient(quotient(eta(A),j(j(j(A)))),j(j(A))) -> one
% Current number of equations to process: 602
% Current number of ordered equations: 0
% Current number of rules: 579
% New rule produced :
% [1603] quotient(quotient(j(eta(A)),j(j(A))),j(j(j(A)))) -> j(eta(A))
% Current number of equations to process: 601
% Current number of ordered equations: 0
% Current number of rules: 580
% New rule produced :
% [1604]
% quotient(j(quotient(i(quotient(eta(A),quotient(j(A),i(i(A))))),j(eta(A)))),
% j(j(A))) -> A
% Current number of equations to process: 600
% Current number of ordered equations: 0
% Current number of rules: 581
% New rule produced :
% [1605]
% t(eta(A),eta(quotient(j(quotient(i(quotient(eta(B),quotient(j(A),B))),
% j(eta(A)))),j(j(A))))) -> eta(quotient(B,eta(A)))
% Current number of equations to process: 599
% Current number of ordered equations: 0
% Current number of rules: 582
% New rule produced :
% [1606]
% quotient(j(quotient(i(quotient(eta(A),quotient(j(A),i(i(i(A)))))),j(eta(A)))),
% j(j(A))) -> i(A)
% Current number of equations to process: 598
% Current number of ordered equations: 0
% Current number of rules: 583
% New rule produced :
% [1607]
% quotient(j(quotient(j(j(j(A))),j(eta(A)))),j(j(A))) ->
% i(quotient(eta(A),j(eta(A))))
% Current number of equations to process: 597
% Current number of ordered equations: 0
% Current number of rules: 584
% New rule produced :
% [1608]
% quotient(j(quotient(quotient(j(B),eta(A)),j(eta(B)))),j(j(B))) ->
% quotient(eta(quotient(eta(A),quotient(j(eta(B)),A))),eta(B))
% Current number of equations to process: 596
% Current number of ordered equations: 0
% Current number of rules: 585
% New rule produced :
% [1609]
% quotient(j(quotient(i(quotient(eta(t(eta(A),B)),quotient(j(A),t(eta(A),B)))),
% j(eta(A)))),j(j(A))) -> quotient(B,eta(A))
% Current number of equations to process: 595
% Current number of ordered equations: 0
% Current number of rules: 586
% New rule produced :
% [1610]
% t(j(A),quotient(j(quotient(i(quotient(eta(B),quotient(j(A),B))),j(eta(A)))),
% j(j(A)))) -> quotient(quotient(eta(A),quotient(i(B),i(A))),j(A))
% Current number of equations to process: 594
% Current number of ordered equations: 0
% Current number of rules: 587
% New rule produced :
% [1611]
% quotient(quotient(eta(A),quotient(i(B),A)),quotient(j(quotient(i(quotient(
% eta(B),
% quotient(
% j(A),B))),
% j(eta(A)))),j(j(A))))
% -> j(j(A))
% Current number of equations to process: 593
% Current number of ordered equations: 0
% Current number of rules: 588
% New rule produced :
% [1612]
% t(j(j(A)),quotient(j(quotient(i(quotient(eta(B),quotient(j(A),B))),j(eta(A)))),
% j(j(A)))) -> quotient(quotient(eta(A),quotient(i(B),A)),j(j(A)))
% Current number of equations to process: 592
% Current number of ordered equations: 0
% Current number of rules: 589
% New rule produced :
% [1613]
% t(eta(B),quotient(quotient(j(quotient(i(quotient(eta(A),quotient(j(B),A))),
% j(eta(B)))),j(j(B))),C)) ->
% quotient(quotient(A,eta(B)),t(eta(B),C))
% Current number of equations to process: 590
% Current number of ordered equations: 0
% Current number of rules: 590
% New rule produced :
% [1614]
% t(eta(B),difference(quotient(j(quotient(i(quotient(eta(A),quotient(j(B),A))),
% j(eta(B)))),j(j(B))),C)) ->
% difference(quotient(A,eta(B)),t(eta(B),C))
% Current number of equations to process: 589
% Current number of ordered equations: 0
% Current number of rules: 591
% New rule produced :
% [1615]
% quotient(j(quotient(i(quotient(eta(A),quotient(j(A),i(i(i(i(A))))))),
% j(eta(A)))),j(j(A))) -> i(i(A))
% Current number of equations to process: 588
% Current number of ordered equations: 0
% Current number of rules: 592
% New rule produced :
% [1616]
% t(eta(B),t(quotient(j(quotient(i(quotient(eta(A),quotient(j(B),A))),j(eta(B)))),
% j(j(B))),C)) -> t(quotient(A,eta(B)),t(eta(B),C))
% Current number of equations to process: 586
% Current number of ordered equations: 0
% Current number of rules: 593
% New rule produced :
% [1617]
% difference(A,quotient(difference(j(eta(A)),x1),quotient(j(quotient(i(
% quotient(
% eta(x1),
% quotient(
% j(A),x1))),
% j(eta(A)))),
% j(j(A))))) -> j(j(j(A)))
% Current number of equations to process: 585
% Current number of ordered equations: 0
% Current number of rules: 594
% New rule produced :
% [1618]
% quotient(j(quotient(i(quotient(eta(t(eta(A),B)),quotient(j(A),j(t(eta(A),B))))),
% j(eta(A)))),j(j(A))) -> quotient(j(B),eta(A))
% Current number of equations to process: 584
% Current number of ordered equations: 0
% Current number of rules: 595
% New rule produced :
% [1619]
% quotient(j(quotient(i(quotient(eta(t(eta(A),B)),quotient(j(A),i(t(eta(A),B))))),
% j(eta(A)))),j(j(A))) -> quotient(i(B),eta(A))
% Current number of equations to process: 583
% Current number of ordered equations: 0
% Current number of rules: 596
% New rule produced :
% [1620]
% t(eta(A),difference(j(eta(A)),quotient(j(quotient(i(quotient(eta(B),quotient(
% j(A),B))),
% j(eta(A)))),j(j(A))))) ->
% difference(j(eta(A)),quotient(B,eta(A)))
% Current number of equations to process: 582
% Current number of ordered equations: 0
% Current number of rules: 597
% New rule produced :
% [1621]
% t(eta(A),quotient(eta(A),i(quotient(j(quotient(i(quotient(eta(B),quotient(
% j(A),B))),
% j(eta(A)))),j(j(A)))))) ->
% quotient(eta(A),i(quotient(B,eta(A))))
% Current number of equations to process: 579
% Current number of ordered equations: 0
% Current number of rules: 598
% New rule produced :
% [1622]
% t(j(j(j(A))),quotient(j(quotient(i(quotient(eta(B),quotient(j(A),B))),
% j(eta(A)))),j(j(A)))) ->
% quotient(quotient(eta(A),quotient(i(B),j(A))),j(j(j(A))))
% Current number of equations to process: 578
% Current number of ordered equations: 0
% Current number of rules: 599
% New rule produced :
% [1623]
% difference(t(t(i(quotient(eta(A),quotient(i(B),A))),A),i(quotient(eta(A),
% quotient(i(B),A)))),
% difference(B,eta(A))) -> t(i(quotient(eta(A),quotient(i(B),A))),A)
% Current number of equations to process: 576
% Current number of ordered equations: 0
% Current number of rules: 600
% New rule produced :
% [1624]
% quotient(quotient(C,eta(A)),t(eta(A),difference(B,quotient(j(quotient(
% i(quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(eta(A)))),
% j(j(A)))))) -> t(eta(A),B)
% Current number of equations to process: 575
% Current number of ordered equations: 0
% Current number of rules: 601
% New rule produced :
% [1625]
% t(eta(A),quotient(B,quotient(j(quotient(i(quotient(eta(A),quotient(j(A),
% j(j(A))))),
% j(eta(A)))),j(j(A))))) <->
% quotient(t(eta(A),B),A)
% Current number of equations to process: 574
% Current number of ordered equations: 1
% Current number of rules: 602
% New rule produced :
% [1626]
% quotient(t(eta(A),B),A) <->
% t(eta(A),quotient(B,quotient(j(quotient(i(quotient(eta(A),quotient(j(A),
% j(j(A))))),
% j(eta(A)))),j(j(A)))))
% Rule
% [1100]
% quotient(t(eta(A),difference(B,eta(A))),A) ->
% i(quotient(eta(A),quotient(i(t(eta(A),B)),A))) collapsed.
% Current number of equations to process: 575
% Current number of ordered equations: 0
% Current number of rules: 602
% New rule produced :
% [1627]
% quotient(eta(A),i(quotient(quotient(eta(quotient(i(B),C)),quotient(t(
% quotient(
% i(B),C),C),
% eta(quotient(
% i(B),C)))),B)))
% -> quotient(eta(A),i(i(i(quotient(i(B),C)))))
% Current number of equations to process: 574
% Current number of ordered equations: 0
% Current number of rules: 603
% New rule produced :
% [1628]
% quotient(eta(A),i(quotient(quotient(difference(B,quotient(eta(quotient(
% eta(A),B)),
% i(quotient(eta(C),quotient(B,C))))),
% j(B)),C))) -> j(j(quotient(eta(A),B)))
% Current number of equations to process: 573
% Current number of ordered equations: 0
% Current number of rules: 604
% New rule produced :
% [1629]
% difference(quotient(eta(A),quotient(i(t(quotient(quotient(difference(
% i(difference(A,B)),B),
% difference(A,B)),C),C)),A)),B)
% ->
% quotient(quotient(quotient(difference(i(difference(A,B)),B),difference(A,B)),C),A)
% Current number of equations to process: 572
% Current number of ordered equations: 0
% Current number of rules: 605
% New rule produced :
% [1630]
% difference(j(quotient(i(A),j(eta(B)))),t(eta(B),C)) <->
% quotient(difference(A,t(eta(B),quotient(difference(i(difference(j(eta(B)),C)),C),
% difference(j(eta(B)),C)))),j(eta(B)))
% Current number of equations to process: 571
% Current number of ordered equations: 1
% Current number of rules: 606
% New rule produced :
% [1631]
% quotient(difference(A,t(eta(B),quotient(difference(i(difference(j(eta(B)),C)),C),
% difference(j(eta(B)),C)))),j(eta(B))) <->
% difference(j(quotient(i(A),j(eta(B)))),t(eta(B),C))
% Current number of equations to process: 571
% Current number of ordered equations: 0
% Current number of rules: 607
% New rule produced :
% [1632]
% quotient(difference(i(quotient(eta(A),i(i(B)))),quotient(difference(i(B),
% quotient(eta(A),
% j(eta(B)))),B)),
% quotient(eta(A),i(i(B)))) -> quotient(eta(A),j(eta(B)))
% Current number of equations to process: 570
% Current number of ordered equations: 0
% Current number of rules: 608
% New rule produced :
% [1633]
% quotient(quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(i(C),
% quotient(eta(A),
% quotient(i(B),A)))),A)
% <->
% t(A,quotient(quotient(eta(B),quotient(i(quotient(eta(C),quotient(i(A),C))),B)),A))
% Current number of equations to process: 569
% Current number of ordered equations: 1
% Current number of rules: 609
% New rule produced :
% [1634]
% t(A,quotient(quotient(eta(B),quotient(i(quotient(eta(C),quotient(i(A),C))),B)),A))
% <->
% quotient(quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(i(C),
% quotient(eta(A),
% quotient(i(B),A)))),A)
% Current number of equations to process: 569
% Current number of ordered equations: 0
% Current number of rules: 610
% New rule produced :
% [1635]
% quotient(eta(A),i(quotient(quotient(difference(i(B),quotient(eta(quotient(
% eta(A),
% i(B))),
% i(quotient(eta(C),
% quotient(i(B),C))))),B),C)))
% -> j(j(quotient(eta(A),i(B))))
% Current number of equations to process: 568
% Current number of ordered equations: 0
% Current number of rules: 611
% New rule produced :
% [1636]
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(A),B))),A)),A)
% -> t(A,quotient(eta(B),quotient(i(A),B)))
% Current number of equations to process: 565
% Current number of ordered equations: 0
% Current number of rules: 612
% New rule produced :
% [1637]
% difference(B,quotient(quotient(eta(B),quotient(i(A),B)),quotient(quotient(
% j(quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(j(B))),
% quotient(eta(B),
% quotient(i(A),B)))))
% -> quotient(quotient(eta(A),quotient(i(i(quotient(j(B),j(j(B))))),A)),B)
% Current number of equations to process: 564
% Current number of ordered equations: 0
% Current number of rules: 613
% New rule produced :
% [1638]
% quotient(quotient(A,quotient(t(t(quotient(A,B),B),quotient(A,B)),A)),
% t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B))) -> A
% Current number of equations to process: 562
% Current number of ordered equations: 0
% Current number of rules: 614
% New rule produced :
% [1639]
% quotient(eta(A),i(quotient(quotient(i(i(B)),quotient(quotient(difference(C,
% j(j(B))),
% eta(B)),i(i(B)))),
% quotient(eta(B),i(C))))) -> quotient(eta(A),i(i(i(B))))
% Current number of equations to process: 561
% Current number of ordered equations: 0
% Current number of rules: 615
% New rule produced :
% [1640]
% quotient(i(i(B)),quotient(quotient(difference(C,j(j(B))),eta(B)),i(i(B)))) ->
% quotient(eta(B),i(quotient(eta(B),quotient(i(C),j(j(B))))))
% Rule
% [1639]
% quotient(eta(A),i(quotient(quotient(i(i(B)),quotient(quotient(difference(C,
% j(j(B))),
% eta(B)),i(i(B)))),
% quotient(eta(B),i(C))))) -> quotient(eta(A),i(i(i(B))))
% collapsed.
% Current number of equations to process: 561
% Current number of ordered equations: 0
% Current number of rules: 615
% New rule produced :
% [1641]
% quotient(eta(A),i(quotient(eta(B),i(quotient(quotient(eta(B),quotient(
% i(C),j(j(B)))),
% quotient(eta(B),i(C))))))) ->
% quotient(eta(A),i(i(i(B))))
% Current number of equations to process: 560
% Current number of ordered equations: 0
% Current number of rules: 616
% New rule produced :
% [1642]
% quotient(eta(A),i(quotient(quotient(difference(i(B),quotient(j(quotient(
% i(i(B)),
% eta(quotient(
% eta(A),
% i(B))))),
% j(B))),B),i(B)))) ->
% j(j(quotient(eta(A),i(B))))
% Current number of equations to process: 559
% Current number of ordered equations: 0
% Current number of rules: 617
% New rule produced :
% [1643]
% difference(t(t(quotient(eta(A),i(quotient(A,j(A)))),j(A)),quotient(eta(A),
% i(quotient(A,j(A))))),
% i(i(A))) -> t(quotient(eta(A),i(quotient(A,j(A)))),j(A))
% Current number of equations to process: 558
% Current number of ordered equations: 0
% Current number of rules: 618
% New rule produced :
% [1644]
% quotient(difference(i(A),quotient(eta(A),i(quotient(A,j(A))))),t(i(quotient(
% j(A),
% j(
% j(A)))),A))
% -> t(t(i(quotient(j(A),j(j(A)))),A),i(quotient(j(A),j(j(A)))))
% Current number of equations to process: 557
% Current number of ordered equations: 0
% Current number of rules: 619
% New rule produced :
% [1645]
% difference(t(quotient(A,B),quotient(A,i(i(B)))),difference(i(quotient(A,
% i(i(B)))),
% quotient(i(i(B)),difference(
% quotient(A,
% i(i(B))),B))))
% -> quotient(A,B)
% Current number of equations to process: 555
% Current number of ordered equations: 0
% Current number of rules: 620
% New rule produced :
% [1646]
% quotient(difference(difference(i(i(B)),A),i(i(B))),B) <->
% quotient(difference(i(difference(A,i(i(B)))),quotient(i(i(B)),difference(
% difference(A,
% i(i(B))),B))),
% difference(A,i(i(B))))
% Current number of equations to process: 554
% Current number of ordered equations: 1
% Current number of rules: 621
% New rule produced :
% [1647]
% quotient(difference(i(difference(A,i(i(B)))),quotient(i(i(B)),difference(
% difference(A,
% i(i(B))),B))),
% difference(A,i(i(B)))) <->
% quotient(difference(difference(i(i(B)),A),i(i(B))),B)
% Current number of equations to process: 554
% Current number of ordered equations: 0
% Current number of rules: 622
% New rule produced :
% [1648]
% quotient(quotient(eta(A),j(eta(B))),difference(quotient(eta(A),quotient(
% j(eta(B)),A)),
% eta(B))) ->
% quotient(eta(A),i(quotient(eta(A),quotient(j(eta(B)),A))))
% Current number of equations to process: 553
% Current number of ordered equations: 0
% Current number of rules: 623
% New rule produced :
% [1649]
% quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(i(quotient(quotient(
% eta(A),
% quotient(
% i(C),A)),A)),
% quotient(eta(A),quotient(
% i(B),A)))) ->
% quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(i(t(A,C)),quotient(
% eta(A),
% quotient(
% i(B),A))))
% Current number of equations to process: 551
% Current number of ordered equations: 0
% Current number of rules: 624
% New rule produced :
% [1650]
% difference(B,quotient(quotient(quotient(quotient(eta(B),quotient(i(A),B)),
% quotient(A,quotient(eta(B),quotient(i(A),B)))),
% eta(B)),B)) -> quotient(eta(A),quotient(j(eta(B)),A))
% Current number of equations to process: 553
% Current number of ordered equations: 0
% Current number of rules: 625
% New rule produced :
% [1651]
% quotient(t(eta(A),quotient(B,t(B,quotient(B,quotient(eta(quotient(j(quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(j(A)))),quotient(
% i(B),
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(
% j(A))))))))),
% t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A)))) ->
% t(eta(A),B)
% Current number of equations to process: 551
% Current number of ordered equations: 0
% Current number of rules: 626
% New rule produced :
% [1652]
% quotient(eta(A),i(quotient(quotient(eta(A),quotient(i(B),j(A))),B))) -> i(A)
% Current number of equations to process: 549
% Current number of ordered equations: 0
% Current number of rules: 627
% New rule produced :
% [1653]
% quotient(difference(A,quotient(difference(i(difference(B,C)),C),difference(B,C))),
% difference(quotient(eta(B),quotient(i(A),B)),C)) ->
% t(quotient(difference(A,quotient(difference(i(difference(B,C)),C),difference(B,C))),B),B)
% Current number of equations to process: 548
% Current number of ordered equations: 0
% Current number of rules: 628
% New rule produced :
% [1654]
% difference(t(quotient(A,B),B),quotient(eta(A),quotient(j(eta(t(quotient(A,B),B))),A)))
% ->
% quotient(difference(i(quotient(A,B)),j(quotient(i(quotient(A,B)),eta(
% t(quotient(A,B),B))))),
% quotient(A,B))
% Current number of equations to process: 547
% Current number of ordered equations: 0
% Current number of rules: 629
% New rule produced :
% [1655]
% quotient(difference(i(difference(A,B)),quotient(eta(A),i(difference(A,B)))),
% difference(A,quotient(eta(B),quotient(j(eta(A)),B)))) ->
% t(difference(A,quotient(eta(B),quotient(j(eta(A)),B))),difference(A,B))
% Current number of equations to process: 546
% Current number of ordered equations: 0
% Current number of rules: 630
% New rule produced :
% [1656]
% quotient(difference(i(i(quotient(eta(A),quotient(i(B),A)))),quotient(
% difference(
% i(A),difference(B,
% eta(A))),A)),
% i(quotient(eta(A),quotient(i(B),A)))) -> difference(B,eta(A))
% Current number of equations to process: 545
% Current number of ordered equations: 0
% Current number of rules: 631
% New rule produced :
% [1657]
% quotient(i(i(B)),difference(quotient(eta(C),quotient(i(difference(quotient(
% eta(B),
% i(C)),A)),C)),B))
% -> A
% Current number of equations to process: 544
% Current number of ordered equations: 0
% Current number of rules: 632
% New rule produced :
% [1658]
% quotient(eta(A),i(quotient(eta(B),quotient(i(quotient(quotient(eta(C),
% quotient(j(eta(V_3)),C)),
% eta(V_3))),B)))) ->
% quotient(eta(A),i(quotient(eta(B),quotient(i(C),B))))
% Current number of equations to process: 543
% Current number of ordered equations: 0
% Current number of rules: 633
% New rule produced :
% [1659]
% difference(difference(A,B),t(eta(difference(A,B)),quotient(difference(
% i(A),j(quotient(
% i(A),
% eta(
% difference(A,B))))),A)))
% ->
% quotient(quotient(eta(difference(A,B)),quotient(i(B),j(difference(A,B)))),
% difference(A,B))
% Current number of equations to process: 542
% Current number of ordered equations: 0
% Current number of rules: 634
% New rule produced :
% [1660]
% quotient(difference(t(quotient(A,B),B),t(t(quotient(A,B),B),quotient(A,B))),
% t(t(quotient(A,B),B),quotient(A,B))) ->
% difference(A,t(t(quotient(A,B),B),quotient(A,B)))
% Current number of equations to process: 541
% Current number of ordered equations: 0
% Current number of rules: 635
% New rule produced :
% [1661]
% quotient(difference(i(A),quotient(difference(i(quotient(A,B)),difference(
% i(quotient(A,B)),
% quotient(
% difference(
% i(B),A),B))),
% quotient(A,B))),A) ->
% difference(i(quotient(A,B)),quotient(difference(i(B),A),B))
% Current number of equations to process: 539
% Current number of ordered equations: 0
% Current number of rules: 636
% New rule produced :
% [1662]
% quotient(quotient(A,quotient(B,A)),t(t(t(A,quotient(A,B)),A),t(A,quotient(A,B))))
% -> t(t(t(t(A,quotient(A,B)),A),t(A,quotient(A,B))),t(t(A,quotient(A,B)),A))
% Current number of equations to process: 538
% Current number of ordered equations: 0
% Current number of rules: 637
% New rule produced :
% [1663]
% quotient(quotient(quotient(eta(A),quotient(quotient(i(quotient(eta(B),
% quotient(i(C),B))),A),
% eta(A))),C),B) ->
% quotient(eta(A),i(quotient(quotient(quotient(eta(A),quotient(i(quotient(
% eta(B),
% quotient(
% i(C),B))),A)),C),B)))
% Current number of equations to process: 537
% Current number of ordered equations: 0
% Current number of rules: 638
% New rule produced :
% [1664]
% quotient(eta(B),quotient(i(quotient(eta(B),quotient(i(A),i(B)))),B)) ->
% quotient(quotient(A,i(B)),B)
% Current number of equations to process: 536
% Current number of ordered equations: 0
% Current number of rules: 639
% New rule produced :
% [1665]
% quotient(j(quotient(i(quotient(eta(quotient(quotient(i(i(B)),difference(
% quotient(
% eta(A),quotient(
% j(
% eta(B)),A)),B)),B)),
% quotient(j(B),quotient(quotient(i(i(B)),difference(
% quotient(
% eta(A),
% quotient(
% j(eta(B)),A)),B)),B)))),
% j(eta(B)))),j(j(B))) ->
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),j(eta(B)))),A)),j(j(B)))
% Current number of equations to process: 535
% Current number of ordered equations: 0
% Current number of rules: 640
% New rule produced :
% [1666]
% quotient(quotient(quotient(eta(difference(B,C)),quotient(i(quotient(eta(A),
% quotient(i(B),
% i(i(A))))),
% difference(B,C))),B),
% i(i(A))) <->
% quotient(quotient(eta(quotient(difference(B,A),A)),quotient(i(quotient(
% eta(C),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),C))),
% quotient(difference(B,A),A))),
% quotient(eta(A),quotient(i(B),A)))
% Current number of equations to process: 534
% Current number of ordered equations: 1
% Current number of rules: 641
% New rule produced :
% [1667]
% quotient(quotient(eta(quotient(difference(B,A),A)),quotient(i(quotient(
% eta(C),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),C))),
% quotient(difference(B,A),A))),
% quotient(eta(A),quotient(i(B),A))) <->
% quotient(quotient(quotient(eta(difference(B,C)),quotient(i(quotient(eta(A),
% quotient(i(B),
% i(i(A))))),
% difference(B,C))),B),
% i(i(A)))
% Current number of equations to process: 534
% Current number of ordered equations: 0
% Current number of rules: 642
% New rule produced :
% [1668]
% t(eta(A),difference(t(B,eta(A)),quotient(j(quotient(i(quotient(eta(quotient(
% quotient(
% eta(
% t(
% eta(A),B)),
% t(
% eta(A),
% quotient(
% j(
% eta(A)),B))),
% j(
% eta(A)))),
% quotient(j(A),quotient(
% quotient(
% eta(
% t(
% eta(A),B)),
% t(
% eta(A),
% quotient(
% j(
% eta(A)),B))),
% j(
% eta(A)))))),
% j(eta(A)))),j(j(A))))) ->
% t(eta(A),B)
% Current number of equations to process: 533
% Current number of ordered equations: 0
% Current number of rules: 643
% New rule produced :
% [1669]
% t(eta(B),quotient(quotient(quotient(j(quotient(i(quotient(eta(A),quotient(
% j(B),A))),
% j(eta(B)))),j(j(B))),C),V_3)) ->
% quotient(quotient(quotient(A,eta(B)),t(eta(B),C)),t(eta(B),V_3))
% Current number of equations to process: 527
% Current number of ordered equations: 0
% Current number of rules: 644
% New rule produced :
% [1670]
% t(eta(B),quotient(difference(quotient(j(quotient(i(quotient(eta(A),quotient(
% j(B),A))),
% j(eta(B)))),j(j(B))),C),V_3)) ->
% quotient(difference(quotient(A,eta(B)),t(eta(B),C)),t(eta(B),V_3))
% Current number of equations to process: 525
% Current number of ordered equations: 0
% Current number of rules: 645
% New rule produced :
% [1671]
% quotient(quotient(difference(A,eta(B)),quotient(i(quotient(eta(B),quotient(
% i(A),B))),
% difference(A,eta(B)))),t(i(quotient(
% eta(B),
% quotient(
% i(A),B))),B))
% -> difference(A,eta(B))
% Current number of equations to process: 524
% Current number of ordered equations: 0
% Current number of rules: 646
% New rule produced :
% [1672]
% t(eta(B),t(quotient(quotient(j(quotient(i(quotient(eta(A),quotient(j(B),A))),
% j(eta(B)))),j(j(B))),C),V_3)) ->
% t(quotient(quotient(A,eta(B)),t(eta(B),C)),t(eta(B),V_3))
% Current number of equations to process: 520
% Current number of ordered equations: 0
% Current number of rules: 647
% New rule produced :
% [1673]
% t(eta(B),t(difference(quotient(j(quotient(i(quotient(eta(A),quotient(j(B),A))),
% j(eta(B)))),j(j(B))),C),V_3)) ->
% t(difference(quotient(A,eta(B)),t(eta(B),C)),t(eta(B),V_3))
% Current number of equations to process: 518
% Current number of ordered equations: 0
% Current number of rules: 648
% New rule produced :
% [1674]
% difference(t(difference(quotient(eta(A),quotient(i(B),A)),C),A),difference(B,
% quotient(
% difference(
% i(difference(A,C)),C),
% difference(A,C))))
% ->
% quotient(difference(B,quotient(difference(i(difference(A,C)),C),difference(A,C))),A)
% Current number of equations to process: 517
% Current number of ordered equations: 0
% Current number of rules: 649
% New rule produced :
% [1675]
% quotient(quotient(j(j(A)),i(A)),t(t(j(j(j(j(A)))),A),j(j(j(j(A)))))) ->
% t(t(t(j(j(j(j(A)))),A),j(j(j(j(A))))),t(j(j(j(j(A)))),A))
% Current number of equations to process: 516
% Current number of ordered equations: 0
% Current number of rules: 650
% New rule produced :
% [1676]
% t(eta(A),difference(B,quotient(j(quotient(i(quotient(eta(quotient(quotient(
% eta(
% t(eta(A),
% quotient(B,
% j(B)))),
% quotient(
% i(C),
% t(eta(A),
% quotient(B,
% j(B))))),
% j(eta(A)))),
% quotient(j(A),quotient(quotient(
% eta(
% t(
% eta(A),
% quotient(B,
% j(B)))),
% quotient(
% i(C),
% t(
% eta(A),
% quotient(B,
% j(B))))),
% j(eta(A)))))),
% j(eta(A)))),j(j(A))))) ->
% t(t(eta(A),B),quotient(eta(C),quotient(i(t(eta(A),B)),C)))
% Current number of equations to process: 514
% Current number of ordered equations: 0
% Current number of rules: 651
% New rule produced :
% [1677]
% quotient(quotient(eta(B),quotient(quotient(quotient(eta(quotient(eta(B),
% quotient(i(A),B))),
% quotient(i(B),i(quotient(eta(B),
% quotient(i(A),B))))),
% eta(B)),B)),A) -> B
% Current number of equations to process: 513
% Current number of ordered equations: 0
% Current number of rules: 652
% New rule produced :
% [1678]
% quotient(eta(A),quotient(i(quotient(quotient(quotient(quotient(eta(difference(
% i(B),C)),
% quotient(j(eta(V_3)),
% difference(i(B),C))),
% i(B)),B),eta(V_3))),A)) ->
% quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(C),B))),A))
% Current number of equations to process: 512
% Current number of ordered equations: 0
% Current number of rules: 653
% New rule produced :
% [1679]
% quotient(quotient(eta(difference(A,B)),quotient(i(quotient(eta(quotient(
% difference(B,A),
% j(difference(B,A)))),
% quotient(i(A),quotient(
% difference(B,A),
% j(difference(B,A)))))),
% difference(A,B))),A) ->
% quotient(t(difference(B,A),A),B)
% Current number of equations to process: 511
% Current number of ordered equations: 0
% Current number of rules: 654
% New rule produced :
% [1680]
% quotient(quotient(quotient(eta(difference(B,C)),quotient(i(A),difference(B,C))),B),
% quotient(A,B)) <->
% quotient(quotient(eta(quotient(A,quotient(eta(B),quotient(i(A),B)))),
% quotient(i(quotient(eta(C),quotient(i(A),C))),quotient(A,quotient(
% eta(B),
% quotient(
% i(A),B))))),A)
% Current number of equations to process: 510
% Current number of ordered equations: 1
% Current number of rules: 655
% New rule produced :
% [1681]
% quotient(quotient(eta(quotient(A,quotient(eta(B),quotient(i(A),B)))),
% quotient(i(quotient(eta(C),quotient(i(A),C))),quotient(A,quotient(
% eta(B),
% quotient(
% i(A),B))))),A)
% <->
% quotient(quotient(quotient(eta(difference(B,C)),quotient(i(A),difference(B,C))),B),
% quotient(A,B))
% Current number of equations to process: 510
% Current number of ordered equations: 0
% Current number of rules: 656
% New rule produced :
% [1682]
% quotient(quotient(eta(difference(quotient(eta(t(A,B)),quotient(i(C),t(A,B))),A)),
% quotient(i(quotient(eta(B),quotient(i(quotient(eta(t(A,B)),quotient(
% i(C),
% t(A,B)))),B))),
% difference(quotient(eta(t(A,B)),quotient(i(C),t(A,B))),A))),
% quotient(eta(t(A,B)),quotient(i(C),t(A,B)))) ->
% quotient(quotient(quotient(eta(difference(C,quotient(A,j(A)))),quotient(
% i(quotient(
% eta(
% quotient(B,A)),
% quotient(
% i(C),
% quotient(B,A)))),
% difference(C,
% quotient(A,
% j(A))))),C),
% t(A,B))
% Current number of equations to process: 509
% Current number of ordered equations: 0
% Current number of rules: 657
% New rule produced :
% [1683]
% quotient(i(t(i(i(i(i(A)))),i(t(i(i(i(A))),i(t(i(i(A)),i(t(i(A),i(t(A,
% i(quotient(A,
% j(A))))))))))))),
% quotient(i(i(i(i(A)))),eta(A))) -> i(i(i(i(A))))
% Current number of equations to process: 508
% Current number of ordered equations: 0
% Current number of rules: 658
% New rule produced :
% [1684]
% quotient(eta(A),i(quotient(quotient(difference(i(B),quotient(quotient(
% eta(quotient(
% eta(A),
% i(B))),C),
% quotient(difference(B,
% j(C)),j(C)))),B),
% j(C)))) -> j(j(quotient(eta(A),i(B))))
% Current number of equations to process: 507
% Current number of ordered equations: 0
% Current number of rules: 659
% New rule produced :
% [1685]
% quotient(j(A),t(t(t(i(A),eta(A)),i(A)),t(i(A),eta(A)))) ->
% t(t(t(t(i(A),eta(A)),i(A)),t(i(A),eta(A))),t(t(i(A),eta(A)),i(A)))
% Current number of equations to process: 506
% Current number of ordered equations: 0
% Current number of rules: 660
% New rule produced :
% [1686]
% i(quotient(eta(A),quotient(i(t(t(t(quotient(eta(A),B),B),quotient(eta(A),B)),
% t(quotient(eta(A),B),B))),A))) ->
% quotient(t(t(quotient(eta(A),B),B),quotient(eta(A),B)),A)
% Current number of equations to process: 505
% Current number of ordered equations: 0
% Current number of rules: 661
% New rule produced :
% [1687]
% quotient(eta(A),i(quotient(quotient(quotient(B,eta(C)),t(eta(C),quotient(
% difference(V_3,
% quotient(
% j(quotient(
% i(quotient(
% eta(B),
% quotient(
% j(C),B))),
% j(eta(C)))),
% j(j(C)))),
% quotient(
% j(quotient(
% i(quotient(
% eta(B),
% quotient(
% j(C),B))),
% j(eta(C)))),
% j(j(C)))))),
% t(eta(C),V_3)))) -> quotient(eta(A),i(quotient(B,eta(C))))
% Current number of equations to process: 502
% Current number of ordered equations: 0
% Current number of rules: 662
% New rule produced :
% [1688]
% quotient(i(i(A)),t(t(i(i(i(i(A)))),eta(A)),i(i(i(i(A)))))) ->
% t(t(t(i(i(i(i(A)))),eta(A)),i(i(i(i(A))))),t(i(i(i(i(A)))),eta(A)))
% Current number of equations to process: 501
% Current number of ordered equations: 0
% Current number of rules: 663
% New rule produced :
% [1689]
% difference(t(difference(A,quotient(eta(B),quotient(j(eta(A)),B))),difference(A,B)),
% difference(i(difference(A,B)),quotient(eta(A),i(difference(A,B))))) ->
% difference(A,quotient(eta(B),quotient(j(eta(A)),B)))
% Current number of equations to process: 500
% Current number of ordered equations: 0
% Current number of rules: 664
% New rule produced :
% [1690]
% quotient(eta(B),i(quotient(eta(B),quotient(i(difference(i(i(B)),A)),B)))) ->
% A
% Current number of equations to process: 498
% Current number of ordered equations: 0
% Current number of rules: 665
% New rule produced :
% [1691]
% quotient(eta(B),quotient(i(quotient(i(i(B)),difference(difference(j(j(B)),A),B))),B))
% -> A
% Current number of equations to process: 497
% Current number of ordered equations: 0
% Current number of rules: 666
% New rule produced :
% [1692]
% quotient(quotient(eta(quotient(A,quotient(eta(B),quotient(i(A),B)))),
% quotient(i(quotient(eta(quotient(B,j(B))),quotient(i(A),quotient(B,
% j(B))))),
% quotient(A,quotient(eta(B),quotient(i(A),B))))),A) ->
% quotient(t(B,A),quotient(A,B))
% Current number of equations to process: 496
% Current number of ordered equations: 0
% Current number of rules: 667
% New rule produced :
% [1693]
% quotient(quotient(eta(quotient(difference(C,B),B)),quotient(i(quotient(
% eta(V_3),
% quotient(
% i(quotient(
% eta(B),
% quotient(
% i(C),B))),V_3))),
% quotient(difference(C,B),B))),
% quotient(eta(B),quotient(i(C),B))) <->
% quotient(quotient(quotient(eta(difference(C,V_3)),quotient(i(quotient(
% eta(A),i(
% quotient(
% eta(B),
% quotient(
% i(C),B))))),
% difference(C,V_3))),C),
% quotient(eta(A),i(B)))
% Current number of equations to process: 495
% Current number of ordered equations: 1
% Current number of rules: 668
% New rule produced :
% [1694]
% quotient(quotient(quotient(eta(difference(C,V_3)),quotient(i(quotient(
% eta(A),i(
% quotient(
% eta(B),
% quotient(
% i(C),B))))),
% difference(C,V_3))),C),
% quotient(eta(A),i(B))) <->
% quotient(quotient(eta(quotient(difference(C,B),B)),quotient(i(quotient(
% eta(V_3),
% quotient(
% i(quotient(
% eta(B),
% quotient(
% i(C),B))),V_3))),
% quotient(difference(C,B),B))),
% quotient(eta(B),quotient(i(C),B)))
% Current number of equations to process: 495
% Current number of ordered equations: 0
% Current number of rules: 669
% New rule produced :
% [1695]
% difference(quotient(eta(t(eta(A),B)),quotient(i(C),t(eta(A),B))),t(eta(A),
% quotient(
% eta(B),
% quotient(
% i(V_3),B))))
% ->
% quotient(difference(C,t(eta(A),quotient(eta(V_3),quotient(i(B),V_3)))),
% t(eta(A),B))
% Current number of equations to process: 494
% Current number of ordered equations: 0
% Current number of rules: 670
% New rule produced :
% [1696]
% quotient(quotient(eta(A),quotient(i(B),A)),quotient(quotient(quotient(
% eta(difference(C,B)),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(C),A))),
% difference(C,B))),C),A))
% -> quotient(eta(A),quotient(i(C),A))
% Current number of equations to process: 493
% Current number of ordered equations: 0
% Current number of rules: 671
% New rule produced :
% [1697]
% t(eta(A),quotient(difference(B,eta(A)),quotient(j(quotient(i(quotient(
% eta(A),quotient(
% j(A),
% j(
% j(A))))),
% j(eta(A)))),j(j(A))))) ->
% i(quotient(eta(A),quotient(i(t(eta(A),B)),A)))
% Current number of equations to process: 491
% Current number of ordered equations: 0
% Current number of rules: 672
% New rule produced :
% [1698]
% t(eta(A),difference(j(eta(A)),quotient(quotient(j(quotient(i(quotient(
% eta(B),quotient(
% j(A),B))),
% j(eta(A)))),j(j(A))),C)))
% -> difference(j(eta(A)),quotient(quotient(B,eta(A)),t(eta(A),C)))
% Current number of equations to process: 487
% Current number of ordered equations: 0
% Current number of rules: 673
% New rule produced :
% [1699]
% t(eta(A),difference(j(eta(A)),difference(quotient(j(quotient(i(quotient(
% eta(B),
% quotient(
% j(A),B))),
% j(eta(A)))),j(j(A))),C)))
% -> difference(j(eta(A)),difference(quotient(B,eta(A)),t(eta(A),C)))
% Current number of equations to process: 486
% Current number of ordered equations: 0
% Current number of rules: 674
% New rule produced :
% [1700]
% quotient(quotient(quotient(A,t(A,quotient(A,quotient(eta(B),quotient(i(A),B))))),
% t(quotient(A,t(A,quotient(A,quotient(eta(B),quotient(i(A),B))))),
% t(A,quotient(A,quotient(eta(B),quotient(i(A),B)))))),t(A,t(quotient(A,B),B)))
% -> quotient(A,t(A,quotient(A,quotient(eta(B),quotient(i(A),B)))))
% Current number of equations to process: 485
% Current number of ordered equations: 0
% Current number of rules: 675
% New rule produced :
% [1701]
% quotient(eta(A),i(quotient(quotient(eta(B),quotient(quotient(i(C),B),eta(B))),
% t(quotient(eta(A),i(i(i(B)))),C)))) ->
% t(t(quotient(eta(A),i(i(i(B)))),C),quotient(eta(A),i(i(i(B)))))
% Current number of equations to process: 484
% Current number of ordered equations: 0
% Current number of rules: 676
% New rule produced :
% [1702]
% difference(j(j(quotient(eta(A),i(B)))),quotient(eta(A),i(quotient(difference(
% i(B),
% quotient(
% eta(
% quotient(
% eta(A),
% i(B))),
% i(quotient(
% eta(C),
% quotient(
% i(B),C))))),B))))
% -> C
% Current number of equations to process: 482
% Current number of ordered equations: 0
% Current number of rules: 677
% New rule produced :
% [1703]
% t(eta(A),quotient(eta(A),i(quotient(quotient(j(quotient(i(quotient(eta(B),
% quotient(j(A),B))),
% j(eta(A)))),j(j(A))),C)))) ->
% quotient(eta(A),i(quotient(quotient(B,eta(A)),t(eta(A),C))))
% Current number of equations to process: 480
% Current number of ordered equations: 0
% Current number of rules: 678
% New rule produced :
% [1704]
% t(eta(A),quotient(eta(A),i(difference(quotient(j(quotient(i(quotient(
% eta(B),quotient(
% j(A),B))),
% j(eta(A)))),j(j(A))),C))))
% -> quotient(eta(A),i(difference(quotient(B,eta(A)),t(eta(A),C))))
% Current number of equations to process: 479
% Current number of ordered equations: 0
% Current number of rules: 679
% New rule produced :
% [1705]
% quotient(quotient(difference(A,B),difference(A,quotient(eta(B),quotient(
% j(eta(A)),B)))),
% quotient(difference(A,B),difference(i(difference(A,B)),quotient(eta(A),
% i(difference(A,B))))))
% -> difference(A,B)
% Current number of equations to process: 478
% Current number of ordered equations: 0
% Current number of rules: 680
% Rule [1489]
% difference(i(A),quotient(eta(A),i(i(i(B))))) ->
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(quotient(
% i(i(A)),B),
% eta(B)))),A)),
% i(A)) is composed into [1489]
% difference(i(A),quotient(eta(A),i(i(i(B))))) ->
% quotient(quotient(eta(A),quotient(i(quotient(
% eta(B),
% quotient(
% i(i(A)),
% i(i(B))))),A)),
% i(A))
% New rule produced :
% [1706]
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(quotient(i(C),B),
% eta(B)))),A)),C) ->
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(C),i(i(B))))),A)),C)
% Current number of equations to process: 477
% Current number of ordered equations: 0
% Current number of rules: 681
% New rule produced :
% [1707]
% difference(i(i(A)),quotient(eta(A),i(quotient(eta(quotient(j(A),j(j(A)))),
% quotient(i(B),i(quotient(j(A),j(j(A)))))))))
% -> t(i(i(A)),quotient(eta(B),quotient(i(i(i(A))),B)))
% Current number of equations to process: 476
% Current number of ordered equations: 0
% Current number of rules: 682
% New rule produced :
% [1708]
% quotient(quotient(quotient(eta(B),quotient(i(quotient(i(i(B)),difference(
% quotient(
% eta(A),
% quotient(
% i(i(B)),A)),B))),B)),
% i(B)),A) ->
% quotient(quotient(quotient(eta(B),quotient(i(quotient(eta(A),quotient(
% i(i(B)),A))),
% j(j(B)))),i(B)),A)
% Current number of equations to process: 475
% Current number of ordered equations: 0
% Current number of rules: 683
% New rule produced :
% [1709]
% quotient(eta(quotient(eta(B),quotient(i(C),B))),quotient(j(eta(A)),quotient(
% eta(B),
% quotient(
% i(C),B))))
% <-> quotient(eta(B),quotient(i(quotient(eta(C),quotient(j(eta(A)),C))),B))
% Current number of equations to process: 474
% Current number of ordered equations: 1
% Current number of rules: 684
% New rule produced :
% [1710]
% quotient(eta(B),quotient(i(quotient(eta(C),quotient(j(eta(A)),C))),B)) <->
% quotient(eta(quotient(eta(B),quotient(i(C),B))),quotient(j(eta(A)),quotient(
% eta(B),
% quotient(
% i(C),B))))
% Current number of equations to process: 474
% Current number of ordered equations: 0
% Current number of rules: 685
% New rule produced :
% [1711]
% quotient(quotient(quotient(eta(difference(i(A),B)),quotient(i(quotient(
% eta(C),
% i(quotient(
% eta(quotient(
% eta(C),
% quotient(
% i(A),C))),
% quotient(
% i(i(A)),
% quotient(
% eta(C),
% quotient(
% i(A),C))))))),
% difference(i(A),B))),
% i(A)),A) ->
% quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(i(i(i(C))),quotient(
% eta(A),
% quotient(
% i(B),A))))
% Current number of equations to process: 473
% Current number of ordered equations: 0
% Current number of rules: 686
% New rule produced :
% [1712]
% quotient(quotient(j(quotient(i(quotient(eta(B),quotient(j(A),B))),j(eta(A)))),
% j(j(A))),eta(A)) ->
% quotient(j(quotient(i(quotient(eta(quotient(B,eta(A))),quotient(j(A),
% quotient(B,eta(A))))),
% j(eta(A)))),j(j(A)))
% Current number of equations to process: 472
% Current number of ordered equations: 0
% Current number of rules: 687
% New rule produced :
% [1713]
% quotient(eta(A),i(quotient(quotient(difference(i(i(B)),quotient(quotient(
% eta(quotient(
% eta(A),
% i(
% i(B)))),
% j(eta(B))),
% i(i(B)))),i(B)),
% eta(B)))) -> j(j(quotient(eta(A),i(i(B)))))
% Current number of equations to process: 470
% Current number of ordered equations: 0
% Current number of rules: 688
% New rule produced :
% [1714]
% difference(t(t(t(t(i(A),eta(A)),i(A)),t(i(A),eta(A))),t(t(i(A),eta(A)),i(A))),
% j(A)) -> t(t(t(i(A),eta(A)),i(A)),t(i(A),eta(A)))
% Current number of equations to process: 469
% Current number of ordered equations: 0
% Current number of rules: 689
% New rule produced :
% [1715]
% difference(j(j(A)),quotient(A,quotient(quotient(difference(B,j(j(j(j(A))))),
% eta(A)),A))) -> B
% Current number of equations to process: 473
% Current number of ordered equations: 0
% Current number of rules: 690
% New rule produced :
% [1716]
% difference(j(A),quotient(eta(A),quotient(i(B),j(A)))) ->
% quotient(quotient(eta(B),quotient(A,B)),j(A))
% Current number of equations to process: 477
% Current number of ordered equations: 0
% Current number of rules: 691
% New rule produced :
% [1717] quotient(quotient(eta(A),quotient(j(eta(B)),A)),eta(B)) -> A
% Rule
% [1544]
% quotient(eta(A),quotient(i(quotient(eta(B),i(quotient(quotient(eta(C),
% quotient(j(eta(V_3)),C)),
% eta(V_3))))),A)) ->
% quotient(eta(A),quotient(i(quotient(eta(B),i(C))),A)) collapsed.
% Rule
% [1658]
% quotient(eta(A),i(quotient(eta(B),quotient(i(quotient(quotient(eta(C),
% quotient(j(eta(V_3)),C)),
% eta(V_3))),B)))) ->
% quotient(eta(A),i(quotient(eta(B),quotient(i(C),B)))) collapsed.
% Current number of equations to process: 478
% Current number of ordered equations: 0
% Current number of rules: 690
% New rule produced :
% [1718]
% difference(i(i(i(A))),quotient(eta(A),quotient(quotient(i(B),i(A)),eta(A))))
% -> B
% Current number of equations to process: 483
% Current number of ordered equations: 0
% Current number of rules: 691
% New rule produced :
% [1719]
% difference(i(i(i(i(A)))),quotient(eta(A),quotient(quotient(i(B),i(i(A))),
% eta(A)))) -> B
% Current number of equations to process: 488
% Current number of ordered equations: 0
% Current number of rules: 692
% New rule produced :
% [1720]
% difference(A,quotient(eta(A),i(quotient(eta(A),quotient(i(B),j(j(A))))))) ->
% B
% Current number of equations to process: 492
% Current number of ordered equations: 0
% Current number of rules: 693
% New rule produced :
% [1721]
% difference(quotient(A,quotient(B,A)),quotient(A,quotient(quotient(quotient(
% difference(
% i(B),A),B),
% quotient(A,B)),A)))
% -> one
% Current number of equations to process: 491
% Current number of ordered equations: 0
% Current number of rules: 694
% Rule [981]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(
% difference(
% difference(C,B),
% quotient(
% difference(
% i(difference(C,A)),A),
% difference(C,A))),C),A),A)))
% ->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))) is composed into
% [981]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(
% difference(C,B),
% quotient(
% difference(
% i(difference(C,A)),A),
% difference(C,A))),C),A),A)))
% -> quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)
% Rule [885]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(
% difference(
% i(B),quotient(
% difference(
% i(
% difference(
% j(B),A)),A),
% difference(
% j(B),A))),
% j(B)),A),A)))
% ->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% i(quotient(B,
% j(B))),A),A),A))) is composed into
% [885]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(
% i(B),
% quotient(
% difference(
% i(difference(
% j(B),A)),A),
% difference(
% j(B),A))),
% j(B)),A),A))) ->
% quotient(quotient(quotient(eta(i(quotient(B,j(B)))),quotient(i(quotient(A,
% j(A))),
% i(quotient(B,j(B))))),A),A)
% Rule [852]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(
% difference(
% quotient(B,C),
% quotient(
% difference(
% i(difference(B,A)),A),
% difference(B,A))),B),A),A)))
% <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% quotient(C,B)),A),A),A))) is composed into
% [852]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(
% quotient(B,C),
% quotient(
% difference(
% i(difference(B,A)),A),
% difference(B,A))),B),A),A)))
% ->
% quotient(quotient(quotient(eta(quotient(B,quotient(C,B))),quotient(i(
% quotient(A,
% j(A))),
% quotient(B,
% quotient(C,B)))),A),A)
% Rule [849]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(
% difference(
% t(quotient(B,C),C),
% quotient(
% difference(
% i(difference(B,A)),A),
% difference(B,A))),B),A),A)))
% <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(
% quotient(B,
% t(B,quotient(B,
% quotient(
% eta(C),
% quotient(
% i(B),C))))),A),A),A))) is composed into
% [849]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(
% t(quotient(B,C),C),
% quotient(
% difference(
% i(difference(B,A)),A),
% difference(B,A))),B),A),A)))
% ->
% quotient(quotient(quotient(eta(quotient(B,t(B,quotient(B,quotient(eta(C),
% quotient(i(B),C)))))),
% quotient(i(quotient(A,j(A))),quotient(B,t(B,quotient(B,
% quotient(
% eta(C),
% quotient(
% i(B),C))))))),A),A)
% Rule [802]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(
% difference(C,
% quotient(
% difference(
% i(B),A),B)),
% quotient(A,B)),A),A)))
% ->
% quotient(eta(difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A)))),
% quotient(i(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(C,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A))))) is composed into
% [802]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(C,
% quotient(
% difference(
% i(B),A),B)),
% quotient(A,B)),A),A)))
% ->
% quotient(eta(difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A)))),
% quotient(i(quotient(quotient(quotient(eta(C),quotient(i(quotient(A,j(A))),C)),A),A)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A)))))
% New rule produced :
% [1722]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))
% -> quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)
% Rule
% [790]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% j(B)),A),A),A)))
% ->
% quotient(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A))),
% j(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% collapsed.
% Rule
% [851]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(B,
% quotient(C,B)),A),A),A)))
% <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(
% quotient(B,C),
% quotient(
% difference(
% i(difference(B,A)),A),
% difference(B,A))),B),A),A)))
% collapsed.
% Rule
% [1122]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(quotient(
% eta(B),
% quotient(
% i(C),B)),A),A),A)))
% ->
% quotient(eta(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% difference(B,A),A),A)))),
% quotient(i(difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(C,A),A),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))))
% collapsed.
% Current number of equations to process: 492
% Current number of ordered equations: 0
% Current number of rules: 692
% New rule produced :
% [1723]
% quotient(quotient(quotient(eta(quotient(eta(B),quotient(i(C),B))),quotient(
% i(quotient(A,
% j(A))),
% quotient(
% eta(B),
% quotient(
% i(C),B)))),A),A)
% <->
% quotient(eta(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% quotient(i(quotient(quotient(quotient(eta(C),quotient(i(quotient(A,j(A))),C)),A),A)),
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)))
% Current number of equations to process: 332
% Current number of ordered equations: 328
% Current number of rules: 693
% New rule produced :
% [1724]
% quotient(eta(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% quotient(i(quotient(quotient(quotient(eta(C),quotient(i(quotient(A,j(A))),C)),A),A)),
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)))
% <->
% quotient(quotient(quotient(eta(quotient(eta(B),quotient(i(C),B))),quotient(
% i(quotient(A,
% j(A))),
% quotient(
% eta(B),
% quotient(
% i(C),B)))),A),A)
% Current number of equations to process: 332
% Current number of ordered equations: 325
% Current number of rules: 694
% Rule [1646]
% quotient(difference(difference(i(i(B)),A),i(i(B))),B) <->
% quotient(difference(i(difference(A,i(i(B)))),quotient(i(i(B)),difference(
% difference(A,
% i(
% i(B))),B))),
% difference(A,i(i(B)))) is composed into [1646]
% quotient(difference(difference(
% i(i(B)),A),
% i(i(B))),B) <->
% quotient(difference(i(difference(A,
% i(
% i(B)))),
% quotient(eta(B),
% i(difference(A,i(i(B)))))),
% difference(A,i(i(B))))
% New rule produced :
% [1725] quotient(i(i(A)),difference(B,A)) -> quotient(eta(A),i(B))
% Rule
% [575]
% quotient(difference(i(quotient(A,i(i(B)))),quotient(i(i(B)),difference(
% quotient(A,
% i(i(B))),B))),
% quotient(A,i(i(B)))) -> quotient(A,B) collapsed.
% Rule
% [1079]
% quotient(i(i(A)),difference(i(quotient(j(A),j(j(A)))),A)) -> quotient(A,j(A))
% collapsed.
% Rule [1234] quotient(i(i(i(A))),difference(B,i(A))) -> quotient(eta(A),i(B))
% collapsed.
% Rule
% [1409]
% quotient(difference(i(i(i(i(A)))),quotient(i(i(A)),difference(i(i(i(A))),A))),
% i(i(i(A)))) -> i(A) collapsed.
% Rule
% [1481]
% difference(quotient(A,B),difference(i(quotient(A,i(i(B)))),quotient(i(i(B)),
% difference(
% quotient(A,
% i(i(B))),B)))) ->
% quotient(A,i(i(B))) collapsed.
% Rule
% [1560]
% quotient(difference(i(quotient(A,i(i(B)))),quotient(i(i(B)),difference(
% quotient(A,
% i(i(B))),B))),
% quotient(A,B)) -> t(quotient(A,B),quotient(A,i(i(B)))) collapsed.
% Rule
% [1645]
% difference(t(quotient(A,B),quotient(A,i(i(B)))),difference(i(quotient(A,
% i(i(B)))),
% quotient(i(i(B)),difference(
% quotient(A,
% i(i(B))),B))))
% -> quotient(A,B) collapsed.
% Rule
% [1647]
% quotient(difference(i(difference(A,i(i(B)))),quotient(i(i(B)),difference(
% difference(A,
% i(i(B))),B))),
% difference(A,i(i(B)))) <->
% quotient(difference(difference(i(i(B)),A),i(i(B))),B) collapsed.
% Rule
% [1657]
% quotient(i(i(B)),difference(quotient(eta(C),quotient(i(difference(quotient(
% eta(B),
% i(C)),A)),C)),B))
% -> A collapsed.
% Rule
% [1665]
% quotient(j(quotient(i(quotient(eta(quotient(quotient(i(i(B)),difference(
% quotient(
% eta(A),quotient(
% j(
% eta(B)),A)),B)),B)),
% quotient(j(B),quotient(quotient(i(i(B)),difference(
% quotient(
% eta(A),
% quotient(
% j(eta(B)),A)),B)),B)))),
% j(eta(B)))),j(j(B))) ->
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),j(eta(B)))),A)),j(j(B)))
% collapsed.
% Rule
% [1691]
% quotient(eta(B),quotient(i(quotient(i(i(B)),difference(difference(j(j(B)),A),B))),B))
% -> A collapsed.
% Rule
% [1708]
% quotient(quotient(quotient(eta(B),quotient(i(quotient(i(i(B)),difference(
% quotient(
% eta(A),
% quotient(
% i(i(B)),A)),B))),B)),
% i(B)),A) ->
% quotient(quotient(quotient(eta(B),quotient(i(quotient(eta(A),quotient(
% i(i(B)),A))),
% j(j(B)))),i(B)),A) collapsed.
% Current number of equations to process: 342
% Current number of ordered equations: 314
% Current number of rules: 683
% New rule produced :
% [1726]
% quotient(i(i(A)),quotient(B,A)) ->
% quotient(eta(A),i(quotient(A,quotient(B,A))))
% Rule
% [719]
% quotient(i(i(A)),quotient(difference(B,A),A)) ->
% quotient(eta(A),i(quotient(eta(A),quotient(i(B),A)))) collapsed.
% Current number of equations to process: 342
% Current number of ordered equations: 296
% Current number of rules: 683
% New rule produced :
% [1727] quotient(eta(A),i(i(quotient(j(A),j(j(A)))))) -> quotient(A,j(A))
% Current number of equations to process: 341
% Current number of ordered equations: 296
% Current number of rules: 684
% New rule produced :
% [1728]
% difference(i(i(A)),quotient(eta(A),quotient(quotient(B,A),eta(A)))) -> j(B)
% Rule
% [718]
% difference(i(i(A)),quotient(eta(A),quotient(quotient(i(B),A),eta(A)))) -> B
% collapsed.
% Current number of equations to process: 341
% Current number of ordered equations: 283
% Current number of rules: 684
% New rule produced :
% [1729] quotient(eta(B),quotient(i(difference(j(j(B)),A)),j(j(B)))) -> A
% Current number of equations to process: 340
% Current number of ordered equations: 283
% Current number of rules: 685
% New rule produced :
% [1730]
% quotient(eta(B),i(quotient(eta(C),quotient(i(difference(quotient(eta(B),i(C)),A)),C))))
% -> A
% Current number of equations to process: 339
% Current number of ordered equations: 283
% Current number of rules: 686
% New rule produced :
% [1731]
% quotient(i(t(i(i(i(A))),i(t(i(i(A)),i(t(i(A),i(t(A,i(quotient(A,j(A))))))))))),
% i(i(i(A)))) -> i(A)
% Current number of equations to process: 338
% Current number of ordered equations: 283
% Current number of rules: 687
% New rule produced :
% [1732]
% quotient(quotient(quotient(eta(A),quotient(i(quotient(eta(quotient(A,j(A))),A)),A)),A),
% i(quotient(A,j(A)))) -> A
% Current number of equations to process: 338
% Current number of ordered equations: 282
% Current number of rules: 688
% New rule produced :
% [1733]
% difference(quotient(A,B),difference(i(quotient(A,i(i(B)))),quotient(eta(B),
% i(quotient(A,
% i(i(B))))))) ->
% quotient(A,i(i(B)))
% Current number of equations to process: 337
% Current number of ordered equations: 282
% Current number of rules: 689
% New rule produced :
% [1734]
% difference(i(i(i(i(i(i(A)))))),quotient(eta(A),quotient(quotient(i(B),
% i(i(i(i(A))))),
% eta(A)))) -> B
% Current number of equations to process: 337
% Current number of ordered equations: 281
% Current number of rules: 690
% New rule produced :
% [1735]
% quotient(difference(i(quotient(A,i(i(B)))),quotient(eta(B),i(quotient(A,
% i(i(B)))))),
% quotient(A,i(i(B)))) -> quotient(A,B)
% Current number of equations to process: 336
% Current number of ordered equations: 281
% Current number of rules: 691
% New rule produced :
% [1736]
% quotient(quotient(quotient(eta(quotient(B,A)),quotient(i(quotient(B,quotient(A,B))),
% i(quotient(B,A)))),quotient(B,A)),B)
% -> quotient(A,B)
% Current number of equations to process: 336
% Current number of ordered equations: 280
% Current number of rules: 692
% New rule produced :
% [1737]
% quotient(difference(i(quotient(A,i(i(B)))),quotient(eta(B),i(quotient(A,
% i(i(B)))))),
% quotient(A,B)) -> t(quotient(A,B),quotient(A,i(i(B))))
% Current number of equations to process: 335
% Current number of ordered equations: 280
% Current number of rules: 693
% New rule produced :
% [1738]
% difference(i(i(i(i(i(A))))),quotient(eta(A),quotient(quotient(i(B),i(i(i(A)))),
% eta(A)))) -> B
% Current number of equations to process: 335
% Current number of ordered equations: 279
% Current number of rules: 694
% New rule produced :
% [1739]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(quotient(
% difference(
% i(B),A),B),
% quotient(A,B)),A),A)))
% -> difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A)))
% Current number of equations to process: 335
% Current number of ordered equations: 278
% Current number of rules: 695
% New rule produced :
% [1740]
% difference(t(quotient(A,B),quotient(A,i(i(B)))),difference(i(quotient(A,
% i(i(B)))),
% quotient(eta(B),i(quotient(A,
% i(i(B)))))))
% -> quotient(A,B)
% Current number of equations to process: 334
% Current number of ordered equations: 278
% Current number of rules: 696
% New rule produced :
% [1741]
% quotient(difference(A,j(j(quotient(A,j(A))))),eta(quotient(A,j(A)))) ->
% quotient(quotient(quotient(eta(A),quotient(quotient(i(A),eta(quotient(A,j(A)))),A)),A),
% eta(quotient(A,j(A))))
% Current number of equations to process: 333
% Current number of ordered equations: 277
% Current number of rules: 697
% New rule produced :
% [1742]
% quotient(t(A,quotient(eta(difference(quotient(A,j(A)),B)),quotient(i(A),
% difference(
% quotient(A,
% j(A)),B)))),
% difference(quotient(A,j(A)),B)) ->
% quotient(difference(A,B),difference(quotient(A,j(A)),B))
% Current number of equations to process: 333
% Current number of ordered equations: 276
% Current number of rules: 698
% New rule produced :
% [1743]
% difference(A,quotient(j(j(A)),quotient(quotient(difference(B,quotient(
% difference(
% i(A),j(j(A))),A)),
% j(eta(A))),j(j(A))))) ->
% quotient(quotient(quotient(eta(B),quotient(i(A),B)),j(eta(A))),j(j(A)))
% Current number of equations to process: 333
% Current number of ordered equations: 275
% Current number of rules: 699
% New rule produced :
% [1744]
% quotient(difference(quotient(quotient(eta(A),quotient(i(quotient(eta(B),
% quotient(i(C),B))),A)),C),C),C)
% <->
% quotient(difference(B,quotient(difference(i(quotient(difference(A,C),C)),C),
% quotient(difference(A,C),C))),quotient(eta(C),quotient(
% i(A),C)))
% Current number of equations to process: 333
% Current number of ordered equations: 274
% Current number of rules: 700
% New rule produced :
% [1745]
% quotient(difference(B,quotient(difference(i(quotient(difference(A,C),C)),C),
% quotient(difference(A,C),C))),quotient(eta(C),quotient(
% i(A),C)))
% <->
% quotient(difference(quotient(quotient(eta(A),quotient(i(quotient(eta(B),
% quotient(i(C),B))),A)),C),C),C)
% Current number of equations to process: 333
% Current number of ordered equations: 273
% Current number of rules: 701
% New rule produced :
% [1746]
% t(eta(A),t(t(quotient(B,quotient(j(quotient(i(quotient(eta(C),quotient(
% j(A),C))),
% j(eta(A)))),j(j(A)))),quotient(j(quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(j(A)))),quotient(B,
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(
% j(A))))))
% <->
% t(t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A))),quotient(
% t(eta(A),B),
% quotient(C,
% eta(A))))
% Current number of equations to process: 333
% Current number of ordered equations: 272
% Current number of rules: 702
% New rule produced :
% [1747]
% t(t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A))),quotient(
% t(eta(A),B),
% quotient(C,
% eta(A))))
% <->
% t(eta(A),t(t(quotient(B,quotient(j(quotient(i(quotient(eta(C),quotient(
% j(A),C))),
% j(eta(A)))),j(j(A)))),quotient(j(quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(j(A)))),quotient(B,
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(
% j(A))))))
% Current number of equations to process: 333
% Current number of ordered equations: 271
% Current number of rules: 703
% New rule produced :
% [1748]
% quotient(eta(A),i(quotient(quotient(difference(i(B),quotient(quotient(
% eta(quotient(
% eta(A),
% i(B))),
% j(eta(C))),
% quotient(difference(B,
% eta(C)),
% eta(C)))),B),eta(C)))) ->
% j(j(quotient(eta(A),i(B))))
% Current number of equations to process: 333
% Current number of ordered equations: 270
% Current number of rules: 704
% New rule produced :
% [1749]
% quotient(eta(A),i(quotient(quotient(difference(i(i(i(A))),quotient(eta(A),
% i(quotient(
% eta(B),quotient(
% i(
% i(i(A))),B))))),
% i(i(A))),B))) -> i(i(A))
% Current number of equations to process: 333
% Current number of ordered equations: 269
% Current number of rules: 705
% New rule produced :
% [1750]
% difference(t(t(i(quotient(j(A),j(j(A)))),A),i(quotient(j(A),j(j(A))))),
% difference(i(A),quotient(eta(A),i(quotient(A,j(A)))))) ->
% t(i(quotient(j(A),j(j(A)))),A)
% Current number of equations to process: 333
% Current number of ordered equations: 268
% Current number of rules: 706
% New rule produced :
% [1751]
% quotient(quotient(eta(A),j(eta(B))),t(t(quotient(eta(A),i(B)),j(B)),quotient(
% eta(A),
% i(B))))
% ->
% t(t(t(quotient(eta(A),i(B)),j(B)),quotient(eta(A),i(B))),t(quotient(eta(A),
% i(B)),j(B)))
% Current number of equations to process: 333
% Current number of ordered equations: 267
% Current number of rules: 707
% New rule produced :
% [1752]
% difference(quotient(A,quotient(j(B),A)),quotient(A,quotient(quotient(
% difference(C,
% quotient(
% difference(B,A),
% j(B))),quotient(A,
% j(B))),A)))
% ->
% quotient(quotient(quotient(eta(C),quotient(i(quotient(A,quotient(j(B),A))),C)),
% quotient(A,j(B))),A)
% Current number of equations to process: 333
% Current number of ordered equations: 266
% Current number of rules: 708
% New rule produced :
% [1753]
% quotient(quotient(quotient(eta(difference(i(A),B)),quotient(i(quotient(
% eta(C),
% i(quotient(
% eta(quotient(
% eta(V_3),
% quotient(
% i(A),V_3))),
% quotient(
% i(i(A)),
% quotient(
% eta(V_3),
% quotient(
% i(A),V_3))))))),
% difference(i(A),B))),
% i(A)),A) ->
% quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(i(quotient(eta(C),
% i(V_3))),quotient(
% eta(A),
% quotient(
% i(B),A))))
% Rule
% [1711]
% quotient(quotient(quotient(eta(difference(i(A),B)),quotient(i(quotient(
% eta(C),
% i(quotient(
% eta(quotient(
% eta(C),
% quotient(
% i(A),C))),
% quotient(
% i(i(A)),
% quotient(
% eta(C),
% quotient(
% i(A),C))))))),
% difference(i(A),B))),
% i(A)),A) ->
% quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(i(i(i(C))),quotient(
% eta(A),
% quotient(
% i(B),A))))
% collapsed.
% Current number of equations to process: 333
% Current number of ordered equations: 265
% Current number of rules: 708
% New rule produced :
% [1754]
% t(eta(A),difference(quotient(eta(B),quotient(i(C),B)),quotient(j(quotient(
% i(quotient(
% eta(
% quotient(
% quotient(
% eta(
% t(
% eta(A),B)),
% quotient(
% i(V_3),
% t(
% eta(A),B))),
% j(
% eta(A)))),
% quotient(
% j(A),
% quotient(
% quotient(
% eta(
% t(
% eta(A),B)),
% quotient(
% i(V_3),
% t(
% eta(A),B))),
% j(
% eta(A)))))),
% j(eta(A)))),
% j(j(A))))) ->
% t(eta(A),quotient(difference(C,quotient(j(quotient(i(quotient(eta(quotient(
% quotient(
% eta(V_3),
% quotient(
% i(t(
% eta(A),B)),V_3)),
% j(eta(A)))),
% quotient(j(A),quotient(
% quotient(
% eta(V_3),
% quotient(
% i(
% t(
% eta(A),B)),V_3)),
% j(
% eta(A)))))),
% j(eta(A)))),j(j(A)))),B))
% Current number of equations to process: 333
% Current number of ordered equations: 264
% Current number of rules: 709
% New rule produced :
% [1755]
% difference(i(B),quotient(eta(quotient(eta(B),quotient(i(A),i(B)))),quotient(B,
% quotient(
% eta(B),
% quotient(
% i(A),
% i(B))))))
% -> quotient(quotient(eta(A),quotient(i(i(quotient(B,j(B)))),A)),i(B))
% Current number of equations to process: 333
% Current number of ordered equations: 263
% Current number of rules: 710
% New rule produced :
% [1756]
% quotient(quotient(eta(A),quotient(i(quotient(eta(quotient(B,j(B))),quotient(
% i(B),
% quotient(B,
% j(B))))),A)),B)
% ->
% quotient(quotient(eta(A),quotient(i(quotient(quotient(B,j(B)),t(quotient(B,
% j(B)),
% j(B)))),A)),B)
% Current number of equations to process: 333
% Current number of ordered equations: 262
% Current number of rules: 711
% New rule produced :
% [1757]
% quotient(quotient(B,eta(C)),t(eta(C),quotient(difference(V_3,quotient(
% j(quotient(
% i(quotient(
% eta(B),
% quotient(
% j(C),B))),
% j(eta(C)))),
% j(j(C)))),
% quotient(j(quotient(i(quotient(eta(B),
% quotient(j(C),B))),
% j(eta(C)))),j(j(C)))))) ->
% quotient(eta(quotient(B,eta(C))),quotient(i(t(eta(C),V_3)),quotient(B,eta(C))))
% Rule
% [1687]
% quotient(eta(A),i(quotient(quotient(quotient(B,eta(C)),t(eta(C),quotient(
% difference(V_3,
% quotient(
% j(quotient(
% i(quotient(
% eta(B),
% quotient(
% j(C),B))),
% j(eta(C)))),
% j(j(C)))),
% quotient(
% j(quotient(
% i(quotient(
% eta(B),
% quotient(
% j(C),B))),
% j(eta(C)))),
% j(j(C)))))),
% t(eta(C),V_3)))) -> quotient(eta(A),i(quotient(B,eta(C))))
% collapsed.
% Current number of equations to process: 333
% Current number of ordered equations: 260
% Current number of rules: 711
% New rule produced :
% [1758]
% quotient(eta(A),i(quotient(quotient(difference(j(eta(B)),quotient(eta(
% quotient(
% eta(A),
% j(eta(B)))),
% i(quotient(C,
% quotient(quotient(
% j(
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(B),C))),
% j(
% eta(B)))),
% j(
% j(B))),C))))),
% eta(B)),C))) -> j(j(quotient(eta(A),j(eta(B)))))
% Current number of equations to process: 333
% Current number of ordered equations: 259
% Current number of rules: 712
% New rule produced :
% [1759]
% difference(t(t(t(i(i(i(i(A)))),eta(A)),i(i(i(i(A))))),t(i(i(i(i(A)))),eta(A))),
% i(i(A))) -> t(t(i(i(i(i(A)))),eta(A)),i(i(i(i(A)))))
% Current number of equations to process: 333
% Current number of ordered equations: 258
% Current number of rules: 713
% New rule produced :
% [1760]
% quotient(quotient(A,quotient(quotient(difference(C,quotient(difference(
% i(B),A),B)),
% quotient(A,B)),A)),quotient(A,quotient(B,A))) ->
% t(quotient(A,quotient(B,A)),quotient(quotient(quotient(eta(C),quotient(
% i(quotient(A,
% quotient(B,A))),C)),
% quotient(A,B)),A))
% Current number of equations to process: 333
% Current number of ordered equations: 257
% Current number of rules: 714
% New rule produced :
% [1761]
% difference(quotient(A,quotient(B,A)),quotient(A,quotient(j(quotient(A,B)),A)))
% ->
% quotient(quotient(quotient(eta(quotient(difference(i(B),A),B)),quotient(
% i(quotient(A,
% quotient(B,A))),
% quotient(
% difference(
% i(B),A),B))),
% quotient(A,B)),A)
% Current number of equations to process: 333
% Current number of ordered equations: 256
% Current number of rules: 715
% New rule produced :
% [1762]
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(C),B))),A)),
% quotient(quotient(quotient(eta(C),quotient(i(quotient(eta(A),quotient(i(B),A))),C)),B),A))
% -> quotient(eta(A),quotient(i(B),A))
% Current number of equations to process: 333
% Current number of ordered equations: 255
% Current number of rules: 716
% New rule produced :
% [1763]
% difference(t(t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B)),
% t(t(quotient(A,B),B),quotient(A,B))),A) ->
% t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B))
% Current number of equations to process: 333
% Current number of ordered equations: 253
% Current number of rules: 717
% New rule produced :
% [1764]
% difference(t(t(t(j(j(j(j(A)))),A),j(j(j(j(A))))),t(j(j(j(j(A)))),A)),
% quotient(j(j(A)),i(A))) -> t(t(j(j(j(j(A)))),A),j(j(j(j(A)))))
% Current number of equations to process: 333
% Current number of ordered equations: 252
% Current number of rules: 718
% New rule produced :
% [1765]
% quotient(quotient(difference(i(quotient(A,B)),quotient(difference(i(B),A),B)),
% quotient(quotient(A,B),difference(i(quotient(A,B)),quotient(
% difference(
% i(B),A),B)))),A)
% -> difference(i(quotient(A,B)),quotient(difference(i(B),A),B))
% Current number of equations to process: 333
% Current number of ordered equations: 251
% Current number of rules: 719
% New rule produced :
% [1766]
% quotient(j(j(A)),t(t(t(j(eta(A)),A),j(eta(A))),t(j(eta(A)),A))) ->
% t(t(t(t(j(eta(A)),A),j(eta(A))),t(j(eta(A)),A)),t(t(j(eta(A)),A),j(eta(A))))
% Current number of equations to process: 333
% Current number of ordered equations: 250
% Current number of rules: 720
% New rule produced :
% [1767]
% difference(i(quotient(A,j(A))),quotient(j(A),quotient(quotient(difference(B,
% quotient(
% difference(
% j(eta(A)),
% j(A)),
% eta(A))),
% i(A)),j(A)))) ->
% quotient(quotient(quotient(eta(B),quotient(i(i(quotient(A,j(A)))),B)),i(A)),
% j(A))
% Current number of equations to process: 333
% Current number of ordered equations: 249
% Current number of rules: 721
% New rule produced :
% [1768]
% difference(quotient(eta(A),quotient(i(B),A)),quotient(A,quotient(quotient(
% difference(C,
% quotient(
% difference(
% i(difference(B,A)),A),
% difference(B,A))),B),A)))
% ->
% quotient(quotient(quotient(eta(C),quotient(i(quotient(eta(A),quotient(i(B),A))),C)),B),A)
% Current number of equations to process: 333
% Current number of ordered equations: 248
% Current number of rules: 722
% New rule produced :
% [1769]
% difference(i(A),quotient(j(A),quotient(quotient(difference(B,quotient(
% difference(
% i(i(A)),
% j(A)),i(A))),
% t(i(A),eta(A))),j(A)))) ->
% quotient(quotient(quotient(eta(B),quotient(i(i(A)),B)),t(i(A),eta(A))),j(A))
% Current number of equations to process: 333
% Current number of ordered equations: 247
% Current number of rules: 723
% New rule produced :
% [1770]
% quotient(quotient(eta(A),quotient(i(i(i(B))),j(j(A)))),B) ->
% quotient(eta(A),quotient(i(quotient(eta(A),j(eta(B)))),A))
% Current number of equations to process: 334
% Current number of ordered equations: 245
% Current number of rules: 724
% New rule produced :
% [1771]
% difference(j(A),i(i(A))) ->
% quotient(quotient(quotient(quotient(quotient(eta(A),quotient(i(quotient(
% eta(quotient(A,
% j(A))),
% quotient(
% i(i(A)),
% quotient(A,
% j(A))))),
% j(j(A)))),i(A)),A),A),
% j(A))
% Current number of equations to process: 334
% Current number of ordered equations: 244
% Current number of rules: 725
% New rule produced :
% [1772]
% quotient(quotient(eta(A),j(eta(B))),t(t(quotient(eta(A),i(i(B))),B),quotient(
% eta(A),
% i(
% i(B)))))
% ->
% t(t(t(quotient(eta(A),i(i(B))),B),quotient(eta(A),i(i(B)))),t(quotient(
% eta(A),
% i(i(B))),B))
% Current number of equations to process: 334
% Current number of ordered equations: 243
% Current number of rules: 726
% New rule produced :
% [1773]
% quotient(difference(i(t(eta(A),quotient(eta(A),i(B)))),quotient(difference(
% i(i(t(
% eta(A),B))),
% eta(A)),
% i(t(eta(A),B)))),
% t(eta(A),quotient(eta(A),i(B)))) -> eta(A)
% Current number of equations to process: 334
% Current number of ordered equations: 242
% Current number of rules: 727
% New rule produced :
% [1774]
% difference(quotient(j(A),quotient(A,j(A))),quotient(j(A),quotient(quotient(
% difference(B,
% i(A)),
% i(quotient(A,
% j(A)))),
% j(A)))) ->
% quotient(quotient(quotient(eta(B),quotient(i(quotient(j(A),quotient(A,j(A)))),B)),
% i(quotient(A,j(A)))),j(A))
% Current number of equations to process: 334
% Current number of ordered equations: 241
% Current number of rules: 728
% New rule produced :
% [1775]
% quotient(quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(i(C),
% quotient(eta(A),
% quotient(i(B),A)))),
% quotient(quotient(eta(B),quotient(i(quotient(eta(C),quotient(i(A),C))),B)),A))
% -> A
% Current number of equations to process: 334
% Current number of ordered equations: 240
% Current number of rules: 729
% New rule produced :
% [1776]
% t(quotient(eta(A),quotient(i(B),A)),quotient(quotient(quotient(eta(C),
% quotient(i(quotient(
% eta(A),
% quotient(
% i(B),A))),C)),B),A))
% <->
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(C),B))),A)),
% quotient(eta(A),quotient(i(B),A)))
% Current number of equations to process: 334
% Current number of ordered equations: 239
% Current number of rules: 730
% New rule produced :
% [1777]
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(C),B))),A)),
% quotient(eta(A),quotient(i(B),A))) <->
% t(quotient(eta(A),quotient(i(B),A)),quotient(quotient(quotient(eta(C),
% quotient(i(quotient(
% eta(A),
% quotient(
% i(B),A))),C)),B),A))
% Current number of equations to process: 334
% Current number of ordered equations: 238
% Current number of rules: 731
% New rule produced :
% [1778]
% quotient(quotient(eta(quotient(quotient(eta(quotient(difference(B,A),A)),
% quotient(i(quotient(eta(B),quotient(i(
% quotient(
% eta(A),
% quotient(
% i(B),A))),B))),
% quotient(difference(B,A),A))),quotient(
% eta(A),quotient(
% i(B),A)))),
% quotient(i(quotient(eta(C),quotient(i(quotient(eta(A),quotient(
% i(B),A))),C))),
% quotient(quotient(eta(quotient(difference(B,A),A)),quotient(
% i(quotient(
% eta(B),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),B))),
% quotient(
% difference(B,A),A))),
% quotient(eta(A),quotient(i(B),A))))),quotient(eta(A),quotient(
% i(B),A))) -> C
% Current number of equations to process: 334
% Current number of ordered equations: 237
% Current number of rules: 732
% New rule produced :
% [1779]
% quotient(quotient(eta(quotient(eta(A),i(B))),quotient(i(C),j(j(quotient(
% eta(A),
% i(B)))))),
% j(j(quotient(eta(A),i(B))))) -> t(j(j(quotient(eta(A),i(B)))),C)
% Current number of equations to process: 334
% Current number of ordered equations: 236
% Current number of rules: 733
% New rule produced :
% [1780]
% quotient(quotient(quotient(eta(difference(B,C)),quotient(i(quotient(eta(
% quotient(
% eta(V_3),
% quotient(
% i(A),V_3))),
% quotient(i(B),
% quotient(eta(V_3),
% quotient(i(A),V_3))))),
% difference(B,C))),B),A) <->
% quotient(quotient(eta(quotient(quotient(eta(quotient(difference(B,A),A)),
% quotient(i(quotient(eta(C),quotient(i(
% quotient(
% eta(A),
% quotient(
% i(B),A))),C))),
% quotient(difference(B,A),A))),quotient(
% eta(A),quotient(
% i(B),A)))),
% quotient(i(quotient(eta(V_3),quotient(i(quotient(eta(A),quotient(
% i(B),A))),V_3))),
% quotient(quotient(eta(quotient(difference(B,A),A)),quotient(
% i(quotient(
% eta(C),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),C))),
% quotient(
% difference(B,A),A))),
% quotient(eta(A),quotient(i(B),A))))),quotient(eta(A),quotient(
% i(B),A)))
% Current number of equations to process: 334
% Current number of ordered equations: 235
% Current number of rules: 734
% New rule produced :
% [1781]
% quotient(quotient(eta(quotient(quotient(eta(quotient(difference(B,A),A)),
% quotient(i(quotient(eta(C),quotient(i(
% quotient(
% eta(A),
% quotient(
% i(B),A))),C))),
% quotient(difference(B,A),A))),quotient(
% eta(A),quotient(
% i(B),A)))),
% quotient(i(quotient(eta(V_3),quotient(i(quotient(eta(A),quotient(
% i(B),A))),V_3))),
% quotient(quotient(eta(quotient(difference(B,A),A)),quotient(
% i(quotient(
% eta(C),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),C))),
% quotient(
% difference(B,A),A))),
% quotient(eta(A),quotient(i(B),A))))),quotient(eta(A),quotient(
% i(B),A))) <->
% quotient(quotient(quotient(eta(difference(B,C)),quotient(i(quotient(eta(
% quotient(
% eta(V_3),
% quotient(
% i(A),V_3))),
% quotient(i(B),
% quotient(eta(V_3),
% quotient(i(A),V_3))))),
% difference(B,C))),B),A)
% Current number of equations to process: 334
% Current number of ordered equations: 234
% Current number of rules: 735
% New rule produced :
% [1782]
% quotient(eta(A),i(quotient(quotient(difference(i(quotient(B,C)),quotient(
% j(quotient(
% i(B),
% eta(
% quotient(
% eta(A),
% i(quotient(B,C)))))),
% quotient(C,B))),
% quotient(B,C)),B))) ->
% j(j(quotient(eta(A),i(quotient(B,C)))))
% Current number of equations to process: 334
% Current number of ordered equations: 233
% Current number of rules: 736
% New rule produced :
% [1783]
% quotient(eta(A),i(quotient(quotient(difference(i(B),quotient(eta(quotient(
% eta(A),
% i(B))),
% quotient(i(B),i(i(
% quotient(
% eta(A),
% i(B))))))),B),
% quotient(eta(A),i(B))))) -> j(j(quotient(eta(A),i(B))))
% Current number of equations to process: 334
% Current number of ordered equations: 232
% Current number of rules: 737
% New rule produced :
% [1784]
% quotient(eta(A),i(quotient(quotient(difference(i(difference(B,C)),quotient(
% j(quotient(
% i(B),
% eta(
% quotient(
% eta(A),
% i(
% difference(B,C)))))),
% difference(C,B))),
% difference(B,C)),B))) ->
% j(j(quotient(eta(A),i(difference(B,C)))))
% Current number of equations to process: 334
% Current number of ordered equations: 231
% Current number of rules: 738
% New rule produced :
% [1785]
% quotient(difference(i(t(t(quotient(A,B),B),quotient(A,B))),quotient(difference(
% i(
% t(
% quotient(A,B),B)),A),
% t(quotient(A,B),B))),
% t(t(quotient(A,B),B),quotient(A,B))) -> A
% Current number of equations to process: 334
% Current number of ordered equations: 230
% Current number of rules: 739
% New rule produced :
% [1786]
% quotient(difference(difference(A,B),A),t(t(t(difference(B,A),A),difference(B,A)),
% t(difference(B,A),A))) ->
% t(t(t(t(difference(B,A),A),difference(B,A)),t(difference(B,A),A)),t(t(
% difference(B,A),A),
% difference(B,A)))
% Current number of equations to process: 334
% Current number of ordered equations: 229
% Current number of rules: 740
% New rule produced :
% [1787]
% quotient(difference(i(quotient(A,B)),quotient(difference(i(B),A),B)),
% t(t(t(A,quotient(A,B)),A),t(A,quotient(A,B)))) ->
% t(t(t(t(A,quotient(A,B)),A),t(A,quotient(A,B))),t(t(A,quotient(A,B)),A))
% Current number of equations to process: 334
% Current number of ordered equations: 228
% Current number of rules: 741
% New rule produced :
% [1788]
% difference(quotient(A,quotient(eta(B),A)),quotient(A,quotient(quotient(
% difference(C,
% quotient(
% difference(
% j(eta(B)),A),
% eta(B))),
% quotient(A,
% eta(B))),A)))
% ->
% quotient(quotient(quotient(eta(C),quotient(i(quotient(A,quotient(eta(B),A))),C)),
% quotient(A,eta(B))),A)
% Current number of equations to process: 334
% Current number of ordered equations: 227
% Current number of rules: 742
% New rule produced :
% [1789]
% quotient(quotient(quotient(eta(A),quotient(i(quotient(eta(quotient(A,j(A))),
% quotient(i(A),j(quotient(A,j(A)))))),A)),A),
% j(quotient(A,j(A)))) ->
% i(quotient(eta(quotient(A,j(A))),quotient(i(A),j(quotient(A,j(A))))))
% Current number of equations to process: 334
% Current number of ordered equations: 226
% Current number of rules: 743
% New rule produced :
% [1790]
% quotient(quotient(eta(A),quotient(quotient(i(quotient(eta(B),quotient(i(C),B))),A),
% eta(A))),C) <->
% quotient(quotient(eta(quotient(quotient(eta(A),quotient(i(C),i(i(A)))),C)),
% quotient(i(quotient(eta(B),quotient(i(C),B))),quotient(quotient(
% eta(A),
% quotient(
% i(C),
% i(i(A)))),C))),C)
% Current number of equations to process: 334
% Current number of ordered equations: 225
% Current number of rules: 744
% New rule produced :
% [1791]
% quotient(quotient(eta(quotient(quotient(eta(A),quotient(i(C),i(i(A)))),C)),
% quotient(i(quotient(eta(B),quotient(i(C),B))),quotient(quotient(
% eta(A),
% quotient(
% i(C),
% i(i(A)))),C))),C)
% <->
% quotient(quotient(eta(A),quotient(quotient(i(quotient(eta(B),quotient(i(C),B))),A),
% eta(A))),C)
% Current number of equations to process: 334
% Current number of ordered equations: 224
% Current number of rules: 745
% New rule produced :
% [1792]
% quotient(difference(i(A),quotient(eta(B),i(quotient(eta(B),quotient(i(
% quotient(
% eta(C),
% quotient(
% i(A),C))),B))))),A)
% ->
% quotient(eta(quotient(eta(A),quotient(i(i(i(B))),A))),quotient(i(C),quotient(
% eta(A),
% quotient(
% i(
% i(i(B))),A))))
% Current number of equations to process: 334
% Current number of ordered equations: 223
% Current number of rules: 746
% New rule produced :
% [1793]
% difference(i(A),quotient(eta(A),i(quotient(eta(B),quotient(i(C),B))))) ->
% quotient(quotient(eta(A),quotient(i(quotient(eta(quotient(eta(B),quotient(
% i(C),B))),
% quotient(i(quotient(quotient(eta(A),
% quotient(i(B),
% i(A))),B)),quotient(
% eta(B),
% quotient(
% i(C),B))))),A)),
% i(A))
% Current number of equations to process: 337
% Current number of ordered equations: 219
% Current number of rules: 747
% New rule produced :
% [1794]
% difference(t(t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A))),
% t(eta(A),quotient(B,quotient(j(quotient(i(quotient(eta(C),
% quotient(j(A),C))),
% j(eta(A)))),j(j(A)))))),t(eta(A),B))
% -> t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A)))
% Current number of equations to process: 337
% Current number of ordered equations: 218
% Current number of rules: 748
% New rule produced :
% [1795]
% quotient(quotient(t(eta(A),B),t(t(eta(A),B),quotient(t(eta(A),B),quotient(
% eta(
% quotient(C,
% eta(A))),
% quotient(
% i(t(
% eta(A),B)),
% quotient(C,
% eta(A))))))),
% t(eta(A),t(quotient(B,quotient(j(quotient(i(quotient(eta(C),quotient(j(A),C))),
% j(eta(A)))),j(j(A)))),quotient(j(quotient(
% i(quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(eta(A)))),
% j(j(A)))))) ->
% t(eta(A),B)
% Current number of equations to process: 337
% Current number of ordered equations: 217
% Current number of rules: 749
% New rule produced :
% [1796]
% difference(i(t(A,i(quotient(A,j(A))))),quotient(A,quotient(quotient(difference(B,
% quotient(
% difference(
% j(
% eta(A)),A),
% eta(A))),
% i(i(A))),A))) ->
% quotient(quotient(quotient(eta(B),quotient(t(A,i(quotient(A,j(A)))),B)),
% i(i(A))),A)
% Current number of equations to process: 337
% Current number of ordered equations: 216
% Current number of rules: 750
% New rule produced :
% [1797]
% difference(i(i(A)),quotient(A,quotient(quotient(difference(B,quotient(
% difference(
% i(i(i(A))),A),
% i(i(A)))),
% t(i(i(A)),eta(A))),A))) ->
% quotient(quotient(quotient(eta(B),quotient(i(i(i(A))),B)),t(i(i(A)),eta(A))),A)
% Current number of equations to process: 337
% Current number of ordered equations: 215
% Current number of rules: 751
% New rule produced :
% [1798]
% quotient(eta(A),i(quotient(quotient(quotient(quotient(eta(A),quotient(i(B),A)),
% quotient(B,quotient(eta(A),quotient(
% i(B),A)))),
% eta(A)),A))) ->
% quotient(eta(A),quotient(quotient(i(quotient(eta(B),quotient(j(eta(A)),B))),A),
% eta(A)))
% Current number of equations to process: 337
% Current number of ordered equations: 214
% Current number of rules: 752
% New rule produced :
% [1799]
% quotient(eta(quotient(eta(quotient(quotient(eta(difference(A,B)),quotient(
% i(quotient(
% eta(C),
% quotient(
% i(A),C))),
% difference(A,B))),A)),
% quotient(i(B),quotient(quotient(eta(difference(A,B)),quotient(
% i(quotient(
% eta(C),
% quotient(
% i(A),C))),
% difference(A,B))),A)))),
% quotient(i(quotient(C,quotient(quotient(eta(difference(A,B)),quotient(
% i(quotient(
% eta(C),
% quotient(
% i(A),C))),
% difference(A,B))),A))),
% quotient(eta(quotient(quotient(eta(difference(A,B)),quotient(i(quotient(
% eta(C),
% quotient(
% i(A),C))),
% difference(A,B))),A)),
% quotient(i(B),quotient(quotient(eta(difference(A,B)),quotient(i(quotient(
% eta(C),
% quotient(
% i(A),C))),
% difference(A,B))),A)))))
% ->
% quotient(eta(difference(A,B)),quotient(i(quotient(eta(C),quotient(i(A),C))),
% difference(A,B)))
% Current number of equations to process: 337
% Current number of ordered equations: 213
% Current number of rules: 753
% New rule produced :
% [1800]
% difference(t(quotient(eta(A),quotient(i(B),A)),t(A,B)),quotient(quotient(
% eta(A),
% quotient(
% i(B),A)),
% t(quotient(eta(A),
% quotient(i(B),A)),
% quotient(difference(B,A),A))))
% -> quotient(eta(A),quotient(i(B),A))
% Current number of equations to process: 337
% Current number of ordered equations: 212
% Current number of rules: 754
% New rule produced :
% [1801]
% quotient(eta(A),i(quotient(quotient(quotient(eta(B),quotient(i(C),B)),
% quotient(C,quotient(eta(A),i(quotient(eta(B),
% quotient(i(C),B)))))),
% quotient(eta(A),i(B))))) ->
% quotient(eta(A),i(quotient(eta(B),quotient(i(C),B))))
% Current number of equations to process: 337
% Current number of ordered equations: 211
% Current number of rules: 755
% New rule produced :
% [1802]
% difference(t(t(quotient(eta(A),i(i(i(B)))),C),quotient(eta(A),i(i(i(B))))),
% quotient(eta(A),i(quotient(eta(B),quotient(quotient(i(C),B),eta(B)))))) ->
% t(quotient(eta(A),i(i(i(B)))),C)
% Current number of equations to process: 337
% Current number of ordered equations: 210
% Current number of rules: 756
% New rule produced :
% [1803]
% quotient(eta(A),i(quotient(quotient(difference(i(B),quotient(eta(quotient(
% eta(A),
% i(B))),
% i(quotient(eta(C),
% quotient(i(B),C))))),B),
% j(j(quotient(eta(A),i(B))))))) ->
% t(j(j(quotient(eta(A),i(B)))),C)
% Current number of equations to process: 337
% Current number of ordered equations: 209
% Current number of rules: 757
% New rule produced :
% [1804]
% quotient(quotient(A,j(j(quotient(eta(B),i(C))))),quotient(A,quotient(
% eta(B),i(
% quotient(
% difference(
% i(C),
% quotient(
% eta(
% quotient(
% eta(B),
% i(C))),
% i(
% quotient(
% eta(A),
% quotient(
% i(C),A))))),C)))))
% -> A
% Current number of equations to process: 337
% Current number of ordered equations: 208
% Current number of rules: 758
% New rule produced :
% [1805]
% quotient(i(i(i(A))),t(t(quotient(eta(A),j(eta(A))),j(A)),quotient(eta(A),
% j(eta(A))))) ->
% t(t(t(quotient(eta(A),j(eta(A))),j(A)),quotient(eta(A),j(eta(A)))),t(
% quotient(
% eta(A),
% j(
% eta(A))),
% j(A)))
% Current number of equations to process: 337
% Current number of ordered equations: 207
% Current number of rules: 759
% New rule produced :
% [1806]
% quotient(quotient(j(quotient(i(quotient(eta(quotient(difference(i(A),j(j(A))),A)),
% quotient(j(A),quotient(difference(i(A),
% j(j(A))),A)))),
% j(eta(A)))),j(j(A))),j(eta(A))) -> j(j(A))
% Current number of equations to process: 337
% Current number of ordered equations: 206
% Current number of rules: 760
% New rule produced :
% [1807]
% quotient(quotient(A,quotient(quotient(difference(B,quotient(difference(
% i(C),A),C)),
% quotient(A,C)),A)),quotient(quotient(quotient(
% eta(B),
% quotient(
% i(quotient(A,
% quotient(C,A))),B)),
% quotient(A,C)),A))
% -> quotient(A,quotient(C,A))
% Current number of equations to process: 337
% Current number of ordered equations: 205
% Current number of rules: 761
% New rule produced :
% [1808]
% difference(i(i(A)),quotient(eta(A),i(quotient(eta(quotient(eta(A),quotient(
% i(B),A))),
% quotient(i(C),quotient(eta(A),quotient(
% i(B),A)))))))
% ->
% quotient(quotient(eta(B),quotient(i(quotient(eta(C),quotient(i(i(i(A))),C))),B)),
% i(i(A)))
% Current number of equations to process: 337
% Current number of ordered equations: 203
% Current number of rules: 762
% New rule produced :
% [1809]
% difference(i(quotient(eta(A),i(B))),quotient(eta(quotient(eta(A),i(B))),i(C)))
% ->
% quotient(eta(A),i(quotient(quotient(eta(B),quotient(i(quotient(eta(C),
% quotient(i(i(quotient(
% eta(A),
% i(B)))),C))),B)),
% i(quotient(eta(A),i(B))))))
% Current number of equations to process: 337
% Current number of ordered equations: 202
% Current number of rules: 763
% New rule produced :
% [1810]
% quotient(j(quotient(i(quotient(eta(quotient(quotient(eta(A),j(eta(B))),
% i(i(B)))),quotient(j(A),quotient(quotient(
% eta(A),
% j(
% eta(B))),
% i(i(B)))))),
% j(eta(A)))),j(j(A))) -> i(i(i(B)))
% Current number of equations to process: 337
% Current number of ordered equations: 201
% Current number of rules: 764
% New rule produced :
% [1811]
% quotient(eta(A),i(quotient(quotient(difference(i(i(i(i(A)))),quotient(
% eta(A),i(
% quotient(
% eta(B),
% quotient(
% i(
% i(
% i(i(A)))),B))))),
% i(i(i(A)))),B))) -> i(i(i(A)))
% Current number of equations to process: 337
% Current number of ordered equations: 200
% Current number of rules: 765
% New rule produced :
% [1812]
% difference(t(t(t(quotient(eta(A),i(B)),j(B)),quotient(eta(A),i(B))),t(
% quotient(
% eta(A),
% i(B)),
% j(B))),
% quotient(eta(A),j(eta(B)))) ->
% t(t(quotient(eta(A),i(B)),j(B)),quotient(eta(A),i(B)))
% Current number of equations to process: 337
% Current number of ordered equations: 199
% Current number of rules: 766
% New rule produced :
% [1813]
% quotient(eta(A),quotient(i(quotient(eta(B),j(j(j(B))))),A)) ->
% quotient(eta(A),quotient(j(B),A))
% Current number of equations to process: 336
% Current number of ordered equations: 199
% Current number of rules: 767
% New rule produced :
% [1814]
% quotient(quotient(quotient(quotient(eta(A),quotient(i(quotient(eta(quotient(
% eta(B),
% quotient(
% i(A),B))),
% quotient(i(i(A)),
% quotient(eta(B),
% quotient(i(A),B))))),
% j(j(A)))),i(A)),A),j(j(j(j(A)))))
% -> t(j(j(j(j(A)))),B)
% Current number of equations to process: 336
% Current number of ordered equations: 198
% Current number of rules: 768
% New rule produced :
% [1815]
% difference(t(j(j(quotient(eta(A),i(B)))),C),quotient(eta(A),i(quotient(
% difference(
% i(B),quotient(
% eta(
% quotient(
% eta(A),
% i(B))),
% i(
% quotient(
% eta(C),
% quotient(
% i(B),C))))),B))))
% -> j(j(quotient(eta(A),i(B))))
% Current number of equations to process: 336
% Current number of ordered equations: 197
% Current number of rules: 769
% New rule produced :
% [1816]
% quotient(eta(A),i(quotient(quotient(difference(i(i(i(B))),quotient(quotient(
% eta(
% quotient(
% eta(A),
% i(
% i(i(B))))),
% j(
% eta(B))),
% i(i(i(B))))),
% i(i(B))),eta(B)))) ->
% j(j(quotient(eta(A),i(i(i(B))))))
% Current number of equations to process: 336
% Current number of ordered equations: 196
% Current number of rules: 770
% New rule produced :
% [1817]
% quotient(difference(A,quotient(difference(i(quotient(A,j(A))),j(j(quotient(A,
% j(A))))),
% quotient(A,j(A)))),j(eta(quotient(A,j(A))))) ->
% quotient(quotient(quotient(eta(A),quotient(quotient(i(A),j(eta(quotient(A,
% j(A))))),A)),A),
% j(eta(quotient(A,j(A)))))
% Current number of equations to process: 336
% Current number of ordered equations: 195
% Current number of rules: 771
% New rule produced :
% [1818]
% difference(quotient(eta(B),quotient(quotient(i(C),B),eta(B))),quotient(
% eta(B),
% quotient(
% quotient(
% i(quotient(
% eta(C),
% quotient(
% i(A),C))),B),
% eta(B)))) ->
% quotient(quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(
% i(C),i(i(B))))),A)),C),
% i(i(B)))
% Current number of equations to process: 336
% Current number of ordered equations: 194
% Current number of rules: 772
% New rule produced :
% [1819]
% quotient(difference(i(A),quotient(eta(B),i(quotient(eta(C),quotient(i(
% quotient(
% eta(V_3),
% quotient(
% i(A),V_3))),C))))),A)
% ->
% quotient(eta(quotient(eta(A),quotient(i(quotient(eta(B),i(C))),A))),quotient(
% i(V_3),
% quotient(
% eta(A),
% quotient(
% i(
% quotient(
% eta(B),
% i(C))),A))))
% Rule
% [1792]
% quotient(difference(i(A),quotient(eta(B),i(quotient(eta(B),quotient(i(
% quotient(
% eta(C),
% quotient(
% i(A),C))),B))))),A)
% ->
% quotient(eta(quotient(eta(A),quotient(i(i(i(B))),A))),quotient(i(C),quotient(
% eta(A),
% quotient(
% i(
% i(i(B))),A))))
% collapsed.
% Current number of equations to process: 336
% Current number of ordered equations: 193
% Current number of rules: 772
% New rule produced :
% [1820]
% quotient(difference(i(quotient(t(eta(A),B),quotient(C,eta(A)))),quotient(
% difference(
% i(quotient(C,
% eta(A))),
% t(eta(A),B)),
% quotient(C,
% eta(A)))),
% t(eta(A),quotient(B,quotient(j(quotient(i(quotient(eta(C),quotient(j(A),C))),
% j(eta(A)))),j(j(A)))))) -> t(eta(A),B)
% Current number of equations to process: 336
% Current number of ordered equations: 192
% Current number of rules: 773
% New rule produced :
% [1821]
% quotient(difference(i(t(eta(A),quotient(B,quotient(j(quotient(i(quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(eta(A)))),j(j(A)))))),
% quotient(difference(i(quotient(C,eta(A))),t(eta(A),B)),quotient(C,
% eta(A)))),
% quotient(t(eta(A),B),quotient(C,eta(A)))) -> t(eta(A),B)
% Current number of equations to process: 336
% Current number of ordered equations: 191
% Current number of rules: 774
% New rule produced :
% [1822]
% quotient(difference(i(quotient(eta(A),i(quotient(t(i(A),B),A)))),quotient(
% quotient(
% quotient(
% quotient(B,
% i(A)),A),
% i(A)),A)),
% quotient(eta(A),i(quotient(t(i(A),B),A)))) -> quotient(eta(A),i(t(i(A),B)))
% Current number of equations to process: 336
% Current number of ordered equations: 190
% Current number of rules: 775
% New rule produced :
% [1823]
% quotient(quotient(difference(i(A),quotient(eta(A),i(quotient(A,j(A))))),
% quotient(A,difference(i(A),quotient(eta(A),i(quotient(A,j(A))))))),
% i(quotient(j(A),j(j(A))))) ->
% difference(i(A),quotient(eta(A),i(quotient(A,j(A)))))
% Current number of equations to process: 336
% Current number of ordered equations: 189
% Current number of rules: 776
% New rule produced :
% [1824]
% difference(j(quotient(i(A),eta(C))),eta(B)) <->
% quotient(difference(A,quotient(difference(i(quotient(eta(quotient(eta(B),
% quotient(j(eta(C)),B))),
% eta(C))),eta(B)),quotient(
% eta(quotient(
% eta(B),
% quotient(
% j(eta(C)),B))),
% eta(C)))),
% eta(C))
% Current number of equations to process: 336
% Current number of ordered equations: 188
% Current number of rules: 777
% New rule produced :
% [1825]
% quotient(difference(A,quotient(difference(i(quotient(eta(quotient(eta(B),
% quotient(j(eta(C)),B))),
% eta(C))),eta(B)),quotient(
% eta(quotient(
% eta(B),
% quotient(
% j(eta(C)),B))),
% eta(C)))),
% eta(C)) <-> difference(j(quotient(i(A),eta(C))),eta(B))
% Current number of equations to process: 336
% Current number of ordered equations: 187
% Current number of rules: 778
% New rule produced :
% [1826]
% difference(quotient(eta(t(t(quotient(B,C),C),quotient(B,C))),quotient(
% i(A),t(t(
% quotient(B,C),C),
% quotient(B,C)))),B)
% ->
% quotient(difference(A,quotient(difference(i(t(quotient(B,C),C)),B),t(
% quotient(B,C),C))),
% t(t(quotient(B,C),C),quotient(B,C)))
% Current number of equations to process: 336
% Current number of ordered equations: 186
% Current number of rules: 779
% New rule produced :
% [1827]
% quotient(quotient(B,eta(A)),t(eta(A),t(t(quotient(quotient(j(quotient(
% i(quotient(
% eta(B),
% quotient(
% j(A),B))),
% j(eta(A)))),
% j(j(A))),C),C),quotient(
% quotient(
% j(quotient(
% i(
% quotient(
% eta(B),
% quotient(
% j(A),B))),
% j(
% eta(A)))),
% j(j(A))),C))))
% ->
% t(eta(A),t(t(t(quotient(quotient(j(quotient(i(quotient(eta(B),quotient(
% j(A),B))),
% j(eta(A)))),j(j(A))),C),C),quotient(
% quotient(
% j(quotient(
% i(quotient(
% eta(B),
% quotient(
% j(A),B))),
% j(eta(A)))),
% j(j(A))),C)),
% t(quotient(quotient(j(quotient(i(quotient(eta(B),quotient(j(A),B))),
% j(eta(A)))),j(j(A))),C),C)))
% Current number of equations to process: 336
% Current number of ordered equations: 185
% Current number of rules: 780
% New rule produced :
% [1828]
% difference(t(t(t(quotient(eta(A),i(i(B))),B),quotient(eta(A),i(i(B)))),
% t(quotient(eta(A),i(i(B))),B)),quotient(eta(A),j(eta(B)))) ->
% t(t(quotient(eta(A),i(i(B))),B),quotient(eta(A),i(i(B))))
% Current number of equations to process: 336
% Current number of ordered equations: 184
% Current number of rules: 781
% New rule produced :
% [1829]
% quotient(difference(i(i(quotient(j(A),j(j(A))))),quotient(difference(
% i(A),difference(
% i(A),quotient(
% eta(A),
% i(
% quotient(A,
% j(A)))))),A)),
% i(quotient(j(A),j(j(A))))) ->
% difference(i(A),quotient(eta(A),i(quotient(A,j(A)))))
% Current number of equations to process: 336
% Current number of ordered equations: 183
% Current number of rules: 782
% New rule produced :
% [1830]
% difference(quotient(A,quotient(B,A)),quotient(A,quotient(quotient(C,quotient(A,B)),A)))
% ->
% quotient(quotient(quotient(eta(quotient(quotient(difference(i(B),A),B),C)),
% quotient(i(quotient(A,quotient(B,A))),quotient(quotient(
% difference(
% i(B),A),B),C))),
% quotient(A,B)),A)
% Rule
% [710]
% difference(quotient(A,quotient(B,A)),quotient(A,quotient(quotient(difference(C,
% quotient(
% difference(
% i(B),A),B)),
% quotient(A,B)),A)))
% ->
% quotient(quotient(quotient(eta(C),quotient(i(quotient(A,quotient(B,A))),C)),
% quotient(A,B)),A) collapsed.
% Rule
% [1721]
% difference(quotient(A,quotient(B,A)),quotient(A,quotient(quotient(quotient(
% difference(
% i(B),A),B),
% quotient(A,B)),A)))
% -> one collapsed.
% Rule
% [1752]
% difference(quotient(A,quotient(j(B),A)),quotient(A,quotient(quotient(
% difference(C,
% quotient(
% difference(B,A),
% j(B))),quotient(A,
% j(B))),A)))
% ->
% quotient(quotient(quotient(eta(C),quotient(i(quotient(A,quotient(j(B),A))),C)),
% quotient(A,j(B))),A) collapsed.
% Rule
% [1788]
% difference(quotient(A,quotient(eta(B),A)),quotient(A,quotient(quotient(
% difference(C,
% quotient(
% difference(
% j(eta(B)),A),
% eta(B))),
% quotient(A,
% eta(B))),A)))
% ->
% quotient(quotient(quotient(eta(C),quotient(i(quotient(A,quotient(eta(B),A))),C)),
% quotient(A,eta(B))),A) collapsed.
% Current number of equations to process: 336
% Current number of ordered equations: 162
% Current number of rules: 779
% New rule produced :
% [1831]
% t(eta(A),quotient(eta(quotient(eta(B),quotient(j(eta(A)),B))),quotient(
% i(C),quotient(
% eta(B),
% quotient(
% j(
% eta(A)),B)))))
% <-> quotient(eta(A),i(quotient(eta(B),quotient(i(t(eta(A),C)),B))))
% Current number of equations to process: 336
% Current number of ordered equations: 161
% Current number of rules: 780
% New rule produced :
% [1832]
% quotient(eta(A),i(quotient(eta(B),quotient(i(t(eta(A),C)),B)))) <->
% t(eta(A),quotient(eta(quotient(eta(B),quotient(j(eta(A)),B))),quotient(
% i(C),quotient(
% eta(B),
% quotient(
% j(
% eta(A)),B)))))
% Current number of equations to process: 336
% Current number of ordered equations: 160
% Current number of rules: 781
% New rule produced :
% [1833]
% quotient(quotient(quotient(A,eta(B)),t(eta(B),quotient(C,quotient(j(quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(j(B)))))),
% quotient(quotient(A,eta(B)),t(eta(B),C))) -> quotient(A,eta(B))
% Current number of equations to process: 336
% Current number of ordered equations: 159
% Current number of rules: 782
% New rule produced :
% [1834]
% quotient(quotient(t(eta(A),B),quotient(quotient(C,eta(A)),t(eta(A),B))),
% t(eta(A),quotient(B,quotient(j(quotient(i(quotient(eta(C),quotient(j(A),C))),
% j(eta(A)))),j(j(A)))))) -> t(eta(A),B)
% Current number of equations to process: 336
% Current number of ordered equations: 158
% Current number of rules: 783
% New rule produced :
% [1835]
% quotient(eta(A),i(quotient(quotient(eta(t(quotient(i(B),C),C)),quotient(
% t(t(quotient(
% i(B),C),C),
% quotient(
% i(B),C)),
% eta(t(
% quotient(
% i(B),C),C)))),B)))
% -> quotient(eta(A),i(i(i(t(quotient(i(B),C),C)))))
% Current number of equations to process: 336
% Current number of ordered equations: 157
% Current number of rules: 784
% New rule produced :
% [1836]
% difference(t(t(t(quotient(eta(A),j(eta(A))),j(A)),quotient(eta(A),j(eta(A)))),
% t(quotient(eta(A),j(eta(A))),j(A))),i(i(i(A)))) ->
% t(t(quotient(eta(A),j(eta(A))),j(A)),quotient(eta(A),j(eta(A))))
% Current number of equations to process: 336
% Current number of ordered equations: 156
% Current number of rules: 785
% New rule produced :
% [1837]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% quotient(
% i(B),A),
% eta(A)),
% eta(A)))) ->
% quotient(eta(difference(quotient(eta(A),j(eta(A))),i(i(i(i(A)))))),quotient(
% i(B),
% difference(
% quotient(
% eta(A),
% j(
% eta(A))),
% i(
% i(
% i(i(A)))))))
% Current number of equations to process: 336
% Current number of ordered equations: 155
% Current number of rules: 786
% New rule produced :
% [1838]
% quotient(eta(B),quotient(eta(quotient(i(quotient(eta(B),quotient(i(A),j(B)))),B)),
% quotient(j(eta(B)),quotient(i(quotient(eta(B),quotient(
% i(A),j(B)))),B))))
% <-> quotient(quotient(quotient(eta(A),quotient(j(eta(B)),A)),j(B)),B)
% Current number of equations to process: 336
% Current number of ordered equations: 154
% Current number of rules: 787
% New rule produced :
% [1839]
% quotient(quotient(quotient(eta(A),quotient(j(eta(B)),A)),j(B)),B) <->
% quotient(eta(B),quotient(eta(quotient(i(quotient(eta(B),quotient(i(A),j(B)))),B)),
% quotient(j(eta(B)),quotient(i(quotient(eta(B),quotient(
% i(A),j(B)))),B))))
% Current number of equations to process: 336
% Current number of ordered equations: 153
% Current number of rules: 788
% New rule produced :
% [1840]
% quotient(quotient(quotient(eta(difference(quotient(quotient(eta(B),quotient(
% i(
% quotient(
% eta(C),
% quotient(
% i(A),C))),B)),A),V_3)),
% quotient(i(quotient(eta(A),quotient(i(quotient(quotient(
% eta(B),
% quotient(
% i(quotient(
% eta(C),
% quotient(
% i(A),C))),B)),A)),A))),
% difference(quotient(quotient(eta(B),quotient(i(quotient(
% eta(C),
% quotient(
% i(A),C))),B)),A),V_3))),
% quotient(quotient(eta(B),quotient(i(quotient(eta(C),quotient(i(A),C))),B)),A)),A)
% <->
% quotient(quotient(eta(difference(quotient(eta(quotient(eta(A),quotient(
% i(B),A))),
% quotient(i(C),quotient(eta(A),quotient(
% i(B),A)))),A)),
% quotient(i(quotient(eta(V_3),quotient(i(quotient(eta(quotient(
% eta(A),
% quotient(
% i(B),A))),
% quotient(i(C),quotient(
% eta(A),
% quotient(
% i(B),A))))),V_3))),
% difference(quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(
% i(C),
% quotient(
% eta(A),
% quotient(
% i(B),A)))),A))),
% quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(i(C),quotient(
% eta(A),
% quotient(
% i(B),A)))))
% Current number of equations to process: 336
% Current number of ordered equations: 152
% Current number of rules: 789
% New rule produced :
% [1841]
% quotient(quotient(eta(difference(quotient(eta(quotient(eta(A),quotient(
% i(B),A))),
% quotient(i(C),quotient(eta(A),quotient(
% i(B),A)))),A)),
% quotient(i(quotient(eta(V_3),quotient(i(quotient(eta(quotient(
% eta(A),
% quotient(
% i(B),A))),
% quotient(i(C),quotient(
% eta(A),
% quotient(
% i(B),A))))),V_3))),
% difference(quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(
% i(C),
% quotient(
% eta(A),
% quotient(
% i(B),A)))),A))),
% quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(i(C),quotient(
% eta(A),
% quotient(
% i(B),A))))) <->
% quotient(quotient(quotient(eta(difference(quotient(quotient(eta(B),quotient(
% i(
% quotient(
% eta(C),
% quotient(
% i(A),C))),B)),A),V_3)),
% quotient(i(quotient(eta(A),quotient(i(quotient(quotient(
% eta(B),
% quotient(
% i(quotient(
% eta(C),
% quotient(
% i(A),C))),B)),A)),A))),
% difference(quotient(quotient(eta(B),quotient(i(quotient(
% eta(C),
% quotient(
% i(A),C))),B)),A),V_3))),
% quotient(quotient(eta(B),quotient(i(quotient(eta(C),quotient(i(A),C))),B)),A)),A)
% Current number of equations to process: 336
% Current number of ordered equations: 151
% Current number of rules: 790
% New rule produced :
% [1842]
% quotient(difference(i(difference(A,B)),quotient(eta(A),i(difference(A,B)))),
% t(difference(A,quotient(eta(B),quotient(j(eta(A)),B))),difference(A,B))) ->
% t(t(difference(A,quotient(eta(B),quotient(j(eta(A)),B))),difference(A,B)),
% difference(A,quotient(eta(B),quotient(j(eta(A)),B))))
% Current number of equations to process: 336
% Current number of ordered equations: 150
% Current number of rules: 791
% New rule produced :
% [1843]
% quotient(eta(A),quotient(quotient(quotient(eta(quotient(quotient(eta(B),
% quotient(i(C),B)),
% eta(A))),quotient(i(A),
% i(quotient(quotient(
% eta(B),
% quotient(
% i(C),B)),
% eta(A))))),
% eta(A)),A)) ->
% quotient(quotient(eta(B),quotient(i(C),B)),eta(A))
% Current number of equations to process: 336
% Current number of ordered equations: 149
% Current number of rules: 792
% New rule produced :
% [1844]
% difference(i(i(B)),quotient(eta(B),i(quotient(quotient(eta(B),quotient(
% i(A),B)),
% quotient(quotient(eta(B),quotient(
% eta(quotient(
% i(A),B)),
% quotient(
% j(eta(B)),
% quotient(
% i(A),B)))),
% quotient(eta(B),quotient(i(A),B)))))))
% -> quotient(eta(A),quotient(j(eta(B)),A))
% Current number of equations to process: 336
% Current number of ordered equations: 148
% Current number of rules: 793
% New rule produced :
% [1845]
% quotient(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A),
% j(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)))
% ->
% quotient(quotient(quotient(eta(quotient(B,j(B))),quotient(i(quotient(A,j(A))),
% quotient(B,j(B)))),A),A)
% Current number of equations to process: 336
% Current number of ordered equations: 147
% Current number of rules: 794
% New rule produced :
% [1846]
% quotient(difference(A,quotient(difference(i(quotient(A,j(A))),A),quotient(A,
% j(A)))),
% t(quotient(A,j(A)),j(A))) ->
% quotient(t(A,quotient(eta(t(quotient(A,j(A)),j(A))),quotient(i(A),t(quotient(A,
% j(A)),
% j(A))))),
% t(quotient(A,j(A)),j(A)))
% Current number of equations to process: 336
% Current number of ordered equations: 146
% Current number of rules: 795
% New rule produced :
% [1847]
% quotient(difference(A,j(eta(quotient(A,j(A))))),i(i(i(quotient(A,j(A)))))) ->
% quotient(quotient(quotient(eta(A),quotient(i(quotient(eta(quotient(A,j(A))),
% quotient(i(A),i(i(i(quotient(A,
% j(A)))))))),A)),A),
% i(i(i(quotient(A,j(A))))))
% Current number of equations to process: 336
% Current number of ordered equations: 145
% Current number of rules: 796
% New rule produced :
% [1848]
% quotient(quotient(eta(C),quotient(i(quotient(eta(V_3),quotient(i(quotient(
% eta(A),
% i(B))),V_3))),C)),
% quotient(eta(A),i(B))) ->
% quotient(quotient(eta(C),quotient(i(quotient(eta(V_3),quotient(i(B),V_3))),C)),B)
% Current number of equations to process: 339
% Current number of ordered equations: 141
% Current number of rules: 797
% New rule produced :
% [1849]
% difference(B,quotient(quotient(quotient(quotient(eta(difference(i(C),
% difference(C,B))),
% quotient(i(quotient(eta(A),quotient(
% i(
% i(C)),A))),
% difference(i(C),difference(C,B)))),
% i(C)),i(C)),C)) ->
% quotient(quotient(quotient(eta(A),quotient(i(B),A)),difference(C,B)),C)
% Current number of equations to process: 339
% Current number of ordered equations: 140
% Current number of rules: 798
% New rule produced :
% [1850]
% difference(A,quotient(eta(A),i(quotient(eta(B),i(C))))) ->
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),i(quotient(eta(C),
% quotient(i(A),C))))),
% j(A))),A)
% Current number of equations to process: 339
% Current number of ordered equations: 139
% Current number of rules: 799
% New rule produced :
% [1851]
% t(eta(A),difference(B,quotient(j(quotient(i(quotient(eta(quotient(quotient(
% eta(
% quotient(
% eta(
% t(eta(A),B)),
% t(eta(A),
% quotient(
% j(eta(A)),B)))),
% quotient(
% i(C),
% quotient(
% eta(
% t(eta(A),B)),
% t(eta(A),
% quotient(
% j(eta(A)),B))))),
% j(eta(A)))),
% quotient(j(A),quotient(quotient(
% eta(
% quotient(
% eta(
% t(
% eta(A),B)),
% t(
% eta(A),
% quotient(
% j(
% eta(A)),B)))),
% quotient(
% i(C),
% quotient(
% eta(
% t(
% eta(A),B)),
% t(
% eta(A),
% quotient(
% j(
% eta(A)),B))))),
% j(eta(A)))))),
% j(eta(A)))),j(j(A))))) ->
% quotient(eta(A),i(C))
% Current number of equations to process: 339
% Current number of ordered equations: 138
% Current number of rules: 800
% New rule produced :
% [1852]
% difference(j(A),quotient(eta(A),i(B))) ->
% quotient(quotient(quotient(quotient(eta(A),quotient(i(quotient(eta(quotient(
% eta(
% quotient(
% eta(B),
% quotient(A,B))),
% quotient(
% i(A),
% quotient(
% eta(B),
% quotient(A,B))))),
% quotient(i(quotient(
% quotient(
% eta(A),
% quotient(
% i(quotient(
% eta(B),
% quotient(A,B))),
% i(A))),
% quotient(
% eta(B),
% quotient(A,B)))),
% quotient(eta(quotient(
% eta(B),
% quotient(A,B))),
% quotient(i(A),quotient(
% eta(B),
% quotient(A,B))))))),A)),
% i(A)),A),j(A))
% Current number of equations to process: 338
% Current number of ordered equations: 138
% Current number of rules: 801
% New rule produced :
% [1853]
% difference(j(A),quotient(eta(quotient(A,j(A))),quotient(i(B),i(quotient(A,
% j(A)))))) ->
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(A,B))),i(A))),
% j(A))
% Current number of equations to process: 338
% Current number of ordered equations: 137
% Current number of rules: 802
% New rule produced :
% [1854]
% difference(i(A),quotient(eta(A),i(B))) ->
% quotient(quotient(quotient(quotient(quotient(eta(quotient(quotient(eta(
% difference(
% i(A),B)),
% quotient(i(
% quotient(
% eta(A),
% t(
% i(A),
% i(
% t(A,
% i(
% quotient(A,
% j(A)))))))),
% difference(
% i(A),B))),i(A))),
% quotient(i(quotient(eta(quotient(
% eta(x1),quotient(
% i(A),x1))),
% quotient(i(i(A)),quotient(
% eta(x1),
% quotient(
% i(A),x1))))),
% quotient(quotient(eta(difference(i(A),B)),
% quotient(i(quotient(eta(A),
% t(i(A),i(t(A,
% i(quotient(A,
% j(A)))))))),
% difference(i(A),B))),i(A)))),
% i(A)),A),x1),i(A))
% Rule
% [494]
% difference(i(B),quotient(eta(B),i(t(i(B),A)))) ->
% quotient(quotient(quotient(A,i(B)),B),i(B)) collapsed.
% Rule
% [506]
% quotient(difference(i(A),quotient(eta(A),i(quotient(A,j(A))))),A) ->
% i(quotient(j(A),j(j(A)))) collapsed.
% Rule
% [1281]
% difference(i(A),quotient(eta(A),i(quotient(B,i(A))))) ->
% quotient(quotient(eta(A),quotient(i(B),A)),i(A)) collapsed.
% Rule
% [1346]
% difference(i(quotient(j(A),j(j(A)))),difference(i(A),quotient(eta(A),
% i(quotient(A,j(A))))))
% -> A collapsed.
% Rule
% [1462]
% quotient(difference(i(A),quotient(eta(A),i(quotient(A,j(A))))),i(quotient(
% j(A),
% j(j(A)))))
% -> t(i(quotient(j(A),j(j(A)))),A) collapsed.
% Rule
% [1463]
% quotient(quotient(A,i(quotient(j(A),j(j(A))))),quotient(A,difference(
% i(A),quotient(
% eta(A),
% i(quotient(A,
% j(A)))))))
% -> A collapsed.
% Rule
% [1475]
% difference(t(i(quotient(j(A),j(j(A)))),A),difference(i(A),quotient(eta(A),
% i(quotient(A,j(A))))))
% -> i(quotient(j(A),j(j(A)))) collapsed.
% Rule
% [1489]
% difference(i(A),quotient(eta(A),i(i(i(B))))) ->
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(i(A)),i(i(B))))),A)),
% i(A)) collapsed.
% Rule
% [1510]
% difference(i(A),quotient(eta(A),i(quotient(eta(A),i(B))))) ->
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(i(A)),B))),
% j(j(A)))),i(A)) collapsed.
% Rule
% [1644]
% quotient(difference(i(A),quotient(eta(A),i(quotient(A,j(A))))),t(i(quotient(
% j(A),
% j(
% j(A)))),A))
% -> t(t(i(quotient(j(A),j(j(A)))),A),i(quotient(j(A),j(j(A))))) collapsed.
% Rule
% [1750]
% difference(t(t(i(quotient(j(A),j(j(A)))),A),i(quotient(j(A),j(j(A))))),
% difference(i(A),quotient(eta(A),i(quotient(A,j(A)))))) ->
% t(i(quotient(j(A),j(j(A)))),A) collapsed.
% Rule
% [1793]
% difference(i(A),quotient(eta(A),i(quotient(eta(B),quotient(i(C),B))))) ->
% quotient(quotient(eta(A),quotient(i(quotient(eta(quotient(eta(B),quotient(
% i(C),B))),
% quotient(i(quotient(quotient(eta(A),
% quotient(i(B),
% i(A))),B)),quotient(
% eta(B),
% quotient(
% i(C),B))))),A)),
% i(A)) collapsed.
% Rule
% [1809]
% difference(i(quotient(eta(A),i(B))),quotient(eta(quotient(eta(A),i(B))),i(C)))
% ->
% quotient(eta(A),i(quotient(quotient(eta(B),quotient(i(quotient(eta(C),
% quotient(i(i(quotient(
% eta(A),
% i(B)))),C))),B)),
% i(quotient(eta(A),i(B)))))) collapsed.
% Rule
% [1823]
% quotient(quotient(difference(i(A),quotient(eta(A),i(quotient(A,j(A))))),
% quotient(A,difference(i(A),quotient(eta(A),i(quotient(A,j(A))))))),
% i(quotient(j(A),j(j(A))))) ->
% difference(i(A),quotient(eta(A),i(quotient(A,j(A))))) collapsed.
% Rule
% [1829]
% quotient(difference(i(i(quotient(j(A),j(j(A))))),quotient(difference(
% i(A),difference(
% i(A),quotient(
% eta(A),
% i(
% quotient(A,
% j(A)))))),A)),
% i(quotient(j(A),j(j(A))))) ->
% difference(i(A),quotient(eta(A),i(quotient(A,j(A))))) collapsed.
% Current number of equations to process: 357
% Current number of ordered equations: 127
% Current number of rules: 788
% New rule produced :
% [1855]
% t(eta(A),difference(B,quotient(j(quotient(i(quotient(eta(quotient(i(i(
% i(i(A)))),
% j(eta(A)))),
% quotient(j(A),quotient(i(
% i(
% i(i(A)))),
% j(eta(A)))))),
% j(eta(A)))),j(j(A))))) ->
% t(eta(A),difference(B,A))
% Current number of equations to process: 357
% Current number of ordered equations: 126
% Current number of rules: 789
% New rule produced :
% [1856]
% quotient(eta(A),i(quotient(eta(B),i(quotient(quotient(quotient(C,i(B)),
% quotient(quotient(quotient(
% eta(B),
% quotient(
% i(C),B)),
% i(B)),quotient(
% eta(B),i(
% quotient(C,
% i(B)))))),
% i(B)))))) ->
% quotient(eta(A),i(quotient(eta(B),i(quotient(C,i(B))))))
% Current number of equations to process: 357
% Current number of ordered equations: 125
% Current number of rules: 790
% New rule produced :
% [1857]
% quotient(quotient(quotient(eta(A),quotient(i(quotient(eta(B),i(quotient(
% eta(C),
% quotient(
% i(V_3),C))))),A)),V_3),
% quotient(eta(B),i(C))) <->
% quotient(quotient(eta(quotient(difference(V_3,C),C)),quotient(i(quotient(
% eta(quotient(
% eta(V_3),
% quotient(
% i(A),V_3))),
% quotient(
% i(quotient(
% eta(C),
% quotient(
% i(V_3),C))),
% quotient(
% eta(V_3),
% quotient(
% i(A),V_3))))),
% quotient(difference(V_3,C),C))),
% quotient(eta(C),quotient(i(V_3),C)))
% Current number of equations to process: 357
% Current number of ordered equations: 124
% Current number of rules: 791
% New rule produced :
% [1858]
% quotient(quotient(eta(quotient(difference(V_3,C),C)),quotient(i(quotient(
% eta(quotient(
% eta(V_3),
% quotient(
% i(A),V_3))),
% quotient(
% i(quotient(
% eta(C),
% quotient(
% i(V_3),C))),
% quotient(
% eta(V_3),
% quotient(
% i(A),V_3))))),
% quotient(difference(V_3,C),C))),
% quotient(eta(C),quotient(i(V_3),C))) <->
% quotient(quotient(quotient(eta(A),quotient(i(quotient(eta(B),i(quotient(
% eta(C),
% quotient(
% i(V_3),C))))),A)),V_3),
% quotient(eta(B),i(C)))
% Current number of equations to process: 357
% Current number of ordered equations: 123
% Current number of rules: 792
% New rule produced :
% [1859]
% quotient(quotient(t(t(quotient(A,B),B),quotient(A,B)),t(t(t(quotient(A,B),B),
% quotient(A,B)),
% t(quotient(A,B),B))),
% quotient(t(t(quotient(A,B),B),quotient(A,B)),A)) ->
% t(t(quotient(A,B),B),quotient(A,B))
% Current number of equations to process: 357
% Current number of ordered equations: 122
% Current number of rules: 793
% New rule produced :
% [1860]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% quotient(
% i(B),i(A)),
% eta(A)),
% eta(A)))) ->
% quotient(eta(difference(quotient(eta(A),j(eta(A))),i(i(i(i(i(A))))))),
% quotient(i(B),difference(quotient(eta(A),j(eta(A))),i(i(i(i(i(A))))))))
% Current number of equations to process: 357
% Current number of ordered equations: 121
% Current number of rules: 794
% New rule produced :
% [1861]
% quotient(quotient(quotient(quotient(eta(quotient(eta(B),quotient(i(C),B))),
% quotient(i(quotient(A,j(A))),quotient(eta(B),
% quotient(i(C),B)))),A),A),
% quotient(quotient(quotient(eta(C),quotient(i(quotient(A,j(A))),C)),A),A)) ->
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)
% Current number of equations to process: 357
% Current number of ordered equations: 120
% Current number of rules: 795
% New rule produced :
% [1862]
% difference(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A),
% quotient(quotient(quotient(eta(quotient(eta(B),quotient(i(C),B))),quotient(
% i(quotient(A,
% j(A))),
% quotient(
% eta(B),
% quotient(
% i(C),B)))),A),A))
% -> quotient(quotient(quotient(eta(C),quotient(i(quotient(A,j(A))),C)),A),A)
% Current number of equations to process: 357
% Current number of ordered equations: 119
% Current number of rules: 796
% New rule produced :
% [1863]
% difference(B,quotient(quotient(quotient(quotient(eta(B),quotient(i(i(A)),B)),
% quotient(quotient(quotient(eta(difference(A,B)),
% quotient(j(eta(A)),difference(A,B))),A),
% quotient(eta(B),quotient(i(i(A)),B)))),
% eta(A)),A)) -> j(A)
% Current number of equations to process: 357
% Current number of ordered equations: 118
% Current number of rules: 797
% New rule produced :
% [1864]
% quotient(difference(A,eta(B)),t(t(i(quotient(eta(B),quotient(i(A),B))),B),
% i(quotient(eta(B),quotient(i(A),B))))) ->
% t(t(t(i(quotient(eta(B),quotient(i(A),B))),B),i(quotient(eta(B),quotient(
% i(A),B)))),
% t(i(quotient(eta(B),quotient(i(A),B))),B))
% Current number of equations to process: 357
% Current number of ordered equations: 117
% Current number of rules: 798
% New rule produced :
% [1865]
% quotient(quotient(quotient(quotient(eta(A),quotient(i(quotient(eta(quotient(
% eta(
% quotient(B,
% quotient(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(B),
% quotient(
% j(C),B))),
% j(
% eta(C)))),
% j(
% j(C))),B))),
% quotient(
% i(A),
% quotient(B,
% quotient(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(B),
% quotient(
% j(C),B))),
% j(
% eta(C)))),
% j(
% j(C))),B))))),
% quotient(i(quotient(
% quotient(
% eta(A),
% quotient(
% i(quotient(B,
% quotient(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(B),
% quotient(
% j(C),B))),
% j(
% eta(C)))),
% j(
% j(C))),B))),
% i(A))),
% quotient(B,
% quotient(
% quotient(
% j(quotient(
% i(
% quotient(
% eta(B),
% quotient(
% j(C),B))),
% j(
% eta(C)))),
% j(j(C))),B)))),
% quotient(eta(quotient(B,
% quotient(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(B),
% quotient(
% j(C),B))),
% j(
% eta(C)))),
% j(
% j(C))),B))),
% quotient(i(A),quotient(B,
% quotient(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(B),
% quotient(
% j(C),B))),
% j(
% eta(C)))),
% j(
% j(C))),B))))))),A)),
% i(A)),A),eta(C)) -> quotient(eta(A),quotient(i(B),j(j(A))))
% Current number of equations to process: 356
% Current number of ordered equations: 117
% Current number of rules: 799
% New rule produced :
% [1866]
% difference(i(i(A)),quotient(eta(A),i(quotient(quotient(eta(A),quotient(
% i(B),A)),
% quotient(quotient(quotient(eta(difference(
% quotient(C,
% i(
% i(A))),A)),
% quotient(i(quotient(
% eta(B),
% quotient(
% i(quotient(C,
% i(
% i(A)))),B))),
% difference(quotient(C,
% i(i(A))),A))),
% quotient(C,i(i(A)))),quotient(
% eta(A),
% quotient(
% i(B),A)))))))
% -> quotient(quotient(eta(B),quotient(i(C),B)),i(i(A)))
% Current number of equations to process: 356
% Current number of ordered equations: 116
% Current number of rules: 800
% New rule produced :
% [1867]
% quotient(eta(A),i(quotient(quotient(quotient(eta(B),quotient(i(C),B)),
% t(quotient(eta(A),i(quotient(eta(B),quotient(
% i(C),B)))),
% quotient(difference(C,B),B))),t(quotient(eta(A),
% i(B)),C)))) ->
% quotient(eta(A),i(quotient(eta(B),quotient(i(C),B))))
% Current number of equations to process: 356
% Current number of ordered equations: 115
% Current number of rules: 801
% New rule produced :
% [1868]
% quotient(eta(A),i(quotient(quotient(difference(i(B),quotient(eta(quotient(
% eta(A),
% i(B))),
% i(quotient(eta(C),
% quotient(i(B),C))))),B),
% t(j(j(quotient(eta(A),i(B)))),C)))) ->
% t(t(j(j(quotient(eta(A),i(B)))),C),j(j(quotient(eta(A),i(B)))))
% Current number of equations to process: 356
% Current number of ordered equations: 114
% Current number of rules: 802
% New rule produced :
% [1869]
% quotient(quotient(difference(i(A),quotient(eta(B),i(quotient(eta(quotient(
% eta(C),
% quotient(
% i(i(A)),C))),
% quotient(i(A),quotient(
% eta(C),
% quotient(
% i(i(A)),C))))))),A),
% i(A)) ->
% quotient(quotient(quotient(quotient(quotient(eta(quotient(quotient(eta(
% difference(
% i(A),
% quotient(
% eta(B),
% i(C)))),
% quotient(i(
% quotient(
% eta(A),
% t(
% i(A),
% i(
% t(A,
% i(
% quotient(A,
% j(A)))))))),
% difference(
% i(A),quotient(
% eta(B),
% i(C))))),
% i(A))),quotient(i(quotient(
% eta(
% quotient(
% eta(x1),
% quotient(
% i(A),x1))),
% quotient(
% i(
% i(A)),
% quotient(
% eta(x1),
% quotient(
% i(A),x1))))),
% quotient(quotient(
% eta(
% difference(
% i(A),
% quotient(
% eta(B),
% i(C)))),
% quotient(
% i(quotient(
% eta(A),
% t(
% i(A),
% i(
% t(A,
% i(
% quotient(A,
% j(A)))))))),
% difference(
% i(A),
% quotient(
% eta(B),
% i(C))))),
% i(A)))),i(A)),A),x1),
% i(A))
% Current number of equations to process: 354
% Current number of ordered equations: 114
% Current number of rules: 803
% New rule produced :
% [1870]
% quotient(difference(A,quotient(difference(i(difference(B,C)),C),difference(B,C))),
% t(difference(quotient(eta(B),quotient(i(A),B)),C),B)) ->
% t(t(quotient(difference(A,quotient(difference(i(difference(B,C)),C),difference(B,C))),B),B),
% quotient(difference(A,quotient(difference(i(difference(B,C)),C),difference(B,C))),B))
% Current number of equations to process: 354
% Current number of ordered equations: 113
% Current number of rules: 804
% New rule produced :
% [1871]
% quotient(quotient(difference(A,quotient(difference(i(difference(B,C)),C),
% difference(B,C))),quotient(B,difference(A,
% quotient(
% difference(
% i(difference(B,C)),C),
% difference(B,C))))),
% difference(quotient(eta(B),quotient(i(A),B)),C)) ->
% difference(A,quotient(difference(i(difference(B,C)),C),difference(B,C)))
% Current number of equations to process: 354
% Current number of ordered equations: 112
% Current number of rules: 805
% New rule produced :
% [1872]
% difference(quotient(eta(A),quotient(i(t(t(quotient(quotient(difference(
% i(difference(A,B)),B),
% difference(A,B)),C),C),
% quotient(quotient(difference(i(
% difference(A,B)),B),
% difference(A,B)),C))),A)),B)
% ->
% quotient(t(quotient(quotient(difference(i(difference(A,B)),B),difference(A,B)),C),C),A)
% Current number of equations to process: 354
% Current number of ordered equations: 111
% Current number of rules: 806
% New rule produced :
% [1873]
% t(eta(A),difference(B,quotient(j(quotient(i(quotient(eta(quotient(quotient(
% eta(
% t(eta(A),
% quotient(
% eta(B),
% quotient(
% i(C),B)))),
% quotient(
% i(V_3),
% t(eta(A),
% quotient(
% eta(B),
% quotient(
% i(C),B))))),
% j(eta(A)))),
% quotient(j(A),quotient(quotient(
% eta(
% t(
% eta(A),
% quotient(
% eta(B),
% quotient(
% i(C),B)))),
% quotient(
% i(V_3),
% t(
% eta(A),
% quotient(
% eta(B),
% quotient(
% i(C),B))))),
% j(eta(A)))))),
% j(eta(A)))),j(j(A))))) ->
% quotient(quotient(eta(t(eta(A),C)),quotient(i(quotient(eta(V_3),quotient(
% i(t(eta(A),B)),V_3))),
% t(eta(A),C))),t(eta(A),B))
% Current number of equations to process: 354
% Current number of ordered equations: 110
% Current number of rules: 807
% New rule produced :
% [1874]
% quotient(eta(A),i(quotient(quotient(difference(i(B),quotient(eta(quotient(
% eta(A),
% i(B))),
% i(quotient(eta(quotient(
% eta(A),
% i(B))),
% quotient(i(B),i(
% quotient(
% eta(A),
% i(B)))))))),B),
% i(quotient(eta(A),i(B)))))) -> j(j(quotient(eta(A),i(B))))
% Current number of equations to process: 354
% Current number of ordered equations: 109
% Current number of rules: 808
% New rule produced :
% [1875]
% quotient(quotient(eta(quotient(difference(B,A),A)),quotient(i(quotient(
% eta(quotient(B,
% j(B))),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),
% quotient(B,
% j(B))))),
% quotient(difference(B,A),A))),
% quotient(eta(A),quotient(i(B),A))) ->
% quotient(t(B,quotient(eta(A),i(quotient(eta(A),quotient(i(B),A))))),i(i(A)))
% Current number of equations to process: 354
% Current number of ordered equations: 108
% Current number of rules: 809
% New rule produced :
% [1876]
% quotient(quotient(B,quotient(j(quotient(i(quotient(eta(C),quotient(j(A),C))),
% j(eta(A)))),j(j(A)))),eta(A)) <->
% quotient(j(quotient(i(quotient(eta(quotient(t(eta(A),B),quotient(C,eta(A)))),
% quotient(j(A),quotient(t(eta(A),B),quotient(C,eta(A)))))),
% j(eta(A)))),j(j(A)))
% Current number of equations to process: 354
% Current number of ordered equations: 107
% Current number of rules: 810
% New rule produced :
% [1877]
% quotient(j(quotient(i(quotient(eta(quotient(t(eta(A),B),quotient(C,eta(A)))),
% quotient(j(A),quotient(t(eta(A),B),quotient(C,eta(A)))))),
% j(eta(A)))),j(j(A))) <->
% quotient(quotient(B,quotient(j(quotient(i(quotient(eta(C),quotient(j(A),C))),
% j(eta(A)))),j(j(A)))),eta(A))
% Current number of equations to process: 354
% Current number of ordered equations: 106
% Current number of rules: 811
% New rule produced :
% [1878]
% quotient(quotient(quotient(j(quotient(i(quotient(eta(B),quotient(j(A),B))),
% j(eta(A)))),j(j(A))),C),eta(A)) <->
% quotient(j(quotient(i(quotient(eta(quotient(quotient(B,eta(A)),t(eta(A),C))),
% quotient(j(A),quotient(quotient(B,eta(A)),t(eta(A),C))))),
% j(eta(A)))),j(j(A)))
% Current number of equations to process: 354
% Current number of ordered equations: 105
% Current number of rules: 812
% New rule produced :
% [1879]
% quotient(j(quotient(i(quotient(eta(quotient(quotient(B,eta(A)),t(eta(A),C))),
% quotient(j(A),quotient(quotient(B,eta(A)),t(eta(A),C))))),
% j(eta(A)))),j(j(A))) <->
% quotient(quotient(quotient(j(quotient(i(quotient(eta(B),quotient(j(A),B))),
% j(eta(A)))),j(j(A))),C),eta(A))
% Current number of equations to process: 354
% Current number of ordered equations: 104
% Current number of rules: 813
% New rule produced :
% [1880]
% quotient(difference(quotient(j(quotient(i(quotient(eta(B),quotient(j(A),B))),
% j(eta(A)))),j(j(A))),C),eta(A)) ->
% quotient(j(quotient(i(quotient(eta(difference(quotient(B,eta(A)),t(eta(A),C))),
% quotient(j(A),difference(quotient(B,eta(A)),t(eta(A),C))))),
% j(eta(A)))),j(j(A)))
% Current number of equations to process: 354
% Current number of ordered equations: 103
% Current number of rules: 814
% New rule produced :
% [1881]
% quotient(i(i(A)),t(t(quotient(eta(A),i(quotient(A,j(A)))),j(A)),quotient(
% eta(A),
% i(quotient(A,
% j(A))))))
% ->
% t(t(t(quotient(eta(A),i(quotient(A,j(A)))),j(A)),quotient(eta(A),i(quotient(A,
% j(A))))),
% t(quotient(eta(A),i(quotient(A,j(A)))),j(A)))
% Current number of equations to process: 354
% Current number of ordered equations: 102
% Current number of rules: 815
% New rule produced :
% [1882]
% difference(t(t(quotient(A,B),B),quotient(A,B)),quotient(eta(A),quotient(
% j(eta(
% t(t(
% quotient(A,B),B),
% quotient(A,B)))),A)))
% ->
% quotient(difference(i(t(quotient(A,B),B)),j(quotient(i(t(quotient(A,B),B)),
% eta(t(t(quotient(A,B),B),
% quotient(A,B)))))),t(
% quotient(A,B),B))
% Current number of equations to process: 354
% Current number of ordered equations: 101
% Current number of rules: 816
% New rule produced :
% [1883]
% difference(quotient(t(A,quotient(eta(quotient(B,quotient(A,j(A)))),quotient(
% i(A),
% quotient(B,
% quotient(A,
% j(A)))))),
% quotient(B,quotient(A,j(A)))),difference(A,quotient(difference(
% i(quotient(A,
% j(A))),B),
% quotient(A,j(A))))) ->
% quotient(B,quotient(A,j(A)))
% Current number of equations to process: 354
% Current number of ordered equations: 100
% Current number of rules: 817
% New rule produced :
% [1884]
% quotient(difference(A,quotient(difference(i(quotient(A,j(A))),difference(
% difference(
% quotient(A,
% j(A)),B),
% quotient(A,
% j(A)))),
% quotient(A,j(A)))),difference(B,quotient(A,j(A)))) ->
% quotient(t(A,quotient(eta(difference(B,quotient(A,j(A)))),quotient(i(A),
% difference(B,
% quotient(A,
% j(A)))))),difference(B,
% quotient(A,
% j(A))))
% Current number of equations to process: 354
% Current number of ordered equations: 99
% Current number of rules: 818
% New rule produced :
% [1885]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% quotient(
% i(B),i(i(A))),
% eta(A)),
% eta(A)))) ->
% quotient(eta(difference(quotient(eta(A),j(eta(A))),i(i(i(i(i(i(A)))))))),
% quotient(i(B),difference(quotient(eta(A),j(eta(A))),i(i(i(i(i(i(A)))))))))
% Current number of equations to process: 354
% Current number of ordered equations: 98
% Current number of rules: 819
% New rule produced :
% [1886]
% quotient(eta(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% quotient(A,quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)))
% ->
% quotient(quotient(quotient(eta(quotient(eta(B),quotient(i(i(A)),B))),
% quotient(i(quotient(A,j(A))),quotient(eta(B),quotient(
% i(i(A)),B)))),A),A)
% Current number of equations to process: 354
% Current number of ordered equations: 97
% Current number of rules: 820
% New rule produced :
% [1887]
% quotient(quotient(eta(difference(t(quotient(quotient(eta(B),quotient(
% i(quotient(
% eta(C),
% quotient(
% i(A),C))),B)),A),A),B)),
% quotient(i(quotient(eta(quotient(eta(C),quotient(i(A),C))),quotient(
% i(
% t(
% quotient(
% quotient(
% eta(B),
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% i(A),C))),B)),A),A)),
% quotient(
% eta(C),
% quotient(
% i(A),C))))),
% difference(t(quotient(quotient(eta(B),quotient(i(quotient(eta(C),
% quotient(i(A),C))),B)),A),A),B))),
% t(quotient(quotient(eta(B),quotient(i(quotient(eta(C),quotient(i(A),C))),B)),A),A))
% ->
% quotient(quotient(eta(B),quotient(i(quotient(eta(C),quotient(i(A),C))),B)),A)
% Current number of equations to process: 354
% Current number of ordered equations: 96
% Current number of rules: 821
% New rule produced :
% [1888]
% difference(t(t(t(i(quotient(eta(A),quotient(i(B),A))),A),i(quotient(eta(A),
% quotient(i(B),A)))),
% t(i(quotient(eta(A),quotient(i(B),A))),A)),difference(B,eta(A)))
% ->
% t(t(i(quotient(eta(A),quotient(i(B),A))),A),i(quotient(eta(A),quotient(
% i(B),A))))
% Current number of equations to process: 354
% Current number of ordered equations: 95
% Current number of rules: 822
% New rule produced :
% [1889]
% difference(t(t(difference(A,quotient(eta(B),quotient(j(eta(A)),B))),difference(A,B)),
% difference(A,quotient(eta(B),quotient(j(eta(A)),B)))),difference(
% i(difference(A,B)),
% quotient(
% eta(A),
% i(difference(A,B)))))
% -> t(difference(A,quotient(eta(B),quotient(j(eta(A)),B))),difference(A,B))
% Current number of equations to process: 354
% Current number of ordered equations: 94
% Current number of rules: 823
% New rule produced :
% [1890]
% quotient(quotient(quotient(eta(t(eta(A),difference(i(B),C))),quotient(
% i(quotient(
% eta(quotient(
% eta(V_3),
% quotient(
% i(
% t(
% eta(A),B)),V_3))),
% quotient(
% i(i(t(
% eta(A),B))),
% quotient(
% eta(V_3),
% quotient(
% i(t(eta(A),B)),V_3))))),
% t(eta(A),
% difference(
% i(B),C)))),
% i(t(eta(A),B))),t(eta(A),B)) ->
% quotient(eta(t(eta(A),quotient(eta(B),quotient(i(C),B)))),quotient(i(V_3),
% t(eta(A),quotient(
% eta(B),
% quotient(
% i(C),B)))))
% Current number of equations to process: 354
% Current number of ordered equations: 93
% Current number of rules: 824
% New rule produced :
% [1891]
% quotient(eta(A),i(quotient(eta(B),i(quotient(t(quotient(quotient(eta(C),
% quotient(i(V_3),C)),
% quotient(eta(B),i(quotient(
% eta(C),
% quotient(
% i(V_3),C))))),
% quotient(eta(B),i(quotient(
% eta(C),
% quotient(
% i(V_3),C))))),
% eta(B)))))) ->
% quotient(eta(A),i(quotient(eta(B),i(quotient(eta(C),quotient(i(V_3),C))))))
% Current number of equations to process: 354
% Current number of ordered equations: 92
% Current number of rules: 825
% New rule produced :
% [1892]
% quotient(eta(A),i(quotient(quotient(difference(i(B),quotient(eta(quotient(
% eta(A),
% i(B))),
% i(quotient(eta(quotient(
% eta(A),
% i(B))),
% quotient(i(B),i(
% i(
% quotient(
% eta(A),
% i(B))))))))),B),
% i(i(quotient(eta(A),i(B))))))) ->
% j(j(quotient(eta(A),i(B))))
% Current number of equations to process: 354
% Current number of ordered equations: 91
% Current number of rules: 826
% New rule produced :
% [1893]
% quotient(quotient(A,quotient(t(t(t(quotient(A,B),B),quotient(A,B)),t(
% quotient(A,B),B)),A)),
% t(t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B)),t(t(quotient(A,B),B),
% quotient(A,B))))
% -> A
% Current number of equations to process: 354
% Current number of ordered equations: 90
% Current number of rules: 827
% New rule produced :
% [1894]
% quotient(eta(A),i(quotient(quotient(quotient(eta(B),quotient(quotient(i(C),B),
% eta(B))),quotient(C,
% quotient(
% eta(A),i(
% quotient(
% eta(B),
% quotient(
% quotient(
% i(C),B),
% eta(B))))))),
% quotient(eta(A),i(i(i(B))))))) ->
% quotient(eta(A),i(quotient(eta(B),quotient(quotient(i(C),B),eta(B)))))
% Current number of equations to process: 354
% Current number of ordered equations: 89
% Current number of rules: 828
% New rule produced :
% [1895]
% quotient(eta(B),i(quotient(quotient(C,i(B)),quotient(quotient(quotient(
% eta(B),
% quotient(
% i(C),B)),
% i(B)),quotient(eta(B),
% i(quotient(C,i(B))))))))
% -> quotient(eta(B),i(C))
% Current number of equations to process: 354
% Current number of ordered equations: 88
% Current number of rules: 829
% New rule produced :
% [1896]
% quotient(quotient(difference(i(difference(A,B)),quotient(eta(A),i(difference(A,B)))),
% quotient(difference(A,B),difference(i(difference(A,B)),quotient(
% eta(A),
% i(difference(A,B)))))),
% difference(A,quotient(eta(B),quotient(j(eta(A)),B)))) ->
% difference(i(difference(A,B)),quotient(eta(A),i(difference(A,B))))
% Current number of equations to process: 354
% Current number of ordered equations: 87
% Current number of rules: 830
% New rule produced :
% [1897]
% difference(t(t(t(quotient(eta(A),i(quotient(A,j(A)))),j(A)),quotient(
% eta(A),i(
% quotient(A,
% j(A))))),
% t(quotient(eta(A),i(quotient(A,j(A)))),j(A))),i(i(A))) ->
% t(t(quotient(eta(A),i(quotient(A,j(A)))),j(A)),quotient(eta(A),i(quotient(A,
% j(A)))))
% Current number of equations to process: 354
% Current number of ordered equations: 86
% Current number of rules: 831
% New rule produced :
% [1898]
% quotient(eta(C),i(quotient(eta(quotient(j(quotient(i(quotient(eta(A),
% quotient(j(C),A))),
% j(eta(C)))),j(j(C)))),quotient(
% i(B),
% quotient(
% j(quotient(
% i(quotient(
% eta(A),
% quotient(
% j(C),A))),
% j(eta(C)))),
% j(j(C)))))))
% -> quotient(eta(A),quotient(i(B),A))
% Current number of equations to process: 354
% Current number of ordered equations: 85
% Current number of rules: 832
% New rule produced :
% [1899]
% quotient(eta(A),i(quotient(eta(B),quotient(i(quotient(quotient(eta(C),
% quotient(i(quotient(
% eta(V_3),
% quotient(
% i(B),V_3))),C)),B)),B))))
% ->
% quotient(eta(A),i(quotient(eta(quotient(eta(B),quotient(i(C),B))),quotient(
% i(V_3),
% quotient(
% eta(B),
% quotient(
% i(C),B))))))
% Current number of equations to process: 353
% Current number of ordered equations: 85
% Current number of rules: 833
% New rule produced :
% [1900]
% difference(quotient(eta(A),quotient(i(B),j(j(A)))),quotient(quotient(
% quotient(
% eta(A),quotient(
% i(
% quotient(
% eta(
% quotient(
% eta(
% quotient(B,
% j(B))),
% quotient(
% i(A),
% quotient(B,
% j(B))))),
% quotient(
% i(
% quotient(
% quotient(
% eta(A),
% quotient(
% i(
% quotient(B,
% j(B))),
% i(A))),
% quotient(B,
% j(B)))),
% quotient(
% eta(
% quotient(B,
% j(B))),
% quotient(
% i(A),
% quotient(B,
% j(B))))))),A)),
% i(A)),A)) ->
% quotient(t(B,quotient(eta(A),quotient(i(B),j(j(A))))),j(j(A)))
% Current number of equations to process: 352
% Current number of ordered equations: 85
% Current number of rules: 834
% New rule produced :
% [1901]
% difference(t(t(j(j(quotient(eta(A),i(B)))),C),j(j(quotient(eta(A),i(B))))),
% quotient(eta(A),i(quotient(difference(i(B),quotient(eta(quotient(eta(A),i(B))),
% i(quotient(eta(C),quotient(i(B),C))))),B))))
% -> t(j(j(quotient(eta(A),i(B)))),C)
% Current number of equations to process: 352
% Current number of ordered equations: 84
% Current number of rules: 835
% New rule produced :
% [1902]
% quotient(difference(A,quotient(difference(i(quotient(A,j(A))),quotient(
% eta(B),
% j(eta(quotient(A,
% j(A)))))),
% quotient(A,j(A)))),quotient(eta(B),i(i(quotient(A,j(A))))))
% ->
% quotient(quotient(quotient(eta(A),quotient(i(quotient(eta(B),i(quotient(
% eta(quotient(A,
% j(A))),A)))),A)),A),
% quotient(eta(B),i(i(quotient(A,j(A))))))
% Current number of equations to process: 352
% Current number of ordered equations: 83
% Current number of rules: 836
% New rule produced :
% [1903]
% t(eta(B),difference(quotient(quotient(j(quotient(i(quotient(eta(A),quotient(
% j(B),A))),
% j(eta(B)))),j(j(B))),C),quotient(
% j(quotient(
% i(quotient(
% eta(V_3),
% quotient(
% j(B),V_3))),
% j(eta(B)))),
% j(j(B))))) ->
% difference(quotient(quotient(A,eta(B)),t(eta(B),C)),quotient(V_3,eta(B)))
% Current number of equations to process: 352
% Current number of ordered equations: 82
% Current number of rules: 837
% New rule produced :
% [1904]
% t(eta(B),difference(difference(quotient(j(quotient(i(quotient(eta(A),
% quotient(j(B),A))),
% j(eta(B)))),j(j(B))),C),quotient(
% j(quotient(
% i(
% quotient(
% eta(V_3),
% quotient(
% j(B),V_3))),
% j(
% eta(B)))),
% j(j(B)))))
% ->
% difference(difference(quotient(A,eta(B)),t(eta(B),C)),quotient(V_3,eta(B)))
% Current number of equations to process: 352
% Current number of ordered equations: 81
% Current number of rules: 838
% New rule produced :
% [1905]
% difference(t(t(difference(quotient(eta(A),quotient(i(B),A)),C),A),quotient(
% difference(B,
% quotient(
% difference(
% i(difference(A,C)),C),
% difference(A,C))),A)),
% difference(B,quotient(difference(i(difference(A,C)),C),difference(A,C)))) ->
% t(quotient(difference(B,quotient(difference(i(difference(A,C)),C),difference(A,C))),A),A)
% Current number of equations to process: 352
% Current number of ordered equations: 80
% Current number of rules: 839
% New rule produced :
% [1906]
% difference(t(t(quotient(difference(A,quotient(difference(i(difference(B,C)),C),
% difference(B,C))),B),B),difference(
% quotient(
% eta(B),quotient(
% i(A),B)),C)),
% difference(A,quotient(difference(i(difference(B,C)),C),difference(B,C)))) ->
% t(quotient(difference(A,quotient(difference(i(difference(B,C)),C),difference(B,C))),B),B)
% Current number of equations to process: 352
% Current number of ordered equations: 79
% Current number of rules: 840
% New rule produced :
% [1907]
% quotient(eta(A),i(quotient(quotient(difference(i(B),quotient(eta(quotient(
% eta(A),
% i(B))),
% i(quotient(eta(quotient(
% eta(A),
% i(B))),
% quotient(i(B),i(
% i(
% i(
% quotient(
% eta(A),
% i(B)))))))))),B),
% i(i(i(quotient(eta(A),i(B)))))))) ->
% j(j(quotient(eta(A),i(B))))
% Current number of equations to process: 352
% Current number of ordered equations: 78
% Current number of rules: 841
% New rule produced :
% [1908]
% quotient(eta(difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A)))),
% quotient(i(quotient(quotient(quotient(eta(quotient(A,B)),quotient(i(quotient(A,
% j(A))),
% i(quotient(A,B)))),A),A)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A))))) -> one
% Current number of equations to process: 352
% Current number of ordered equations: 77
% Current number of rules: 842
% New rule produced :
% [1909]
% difference(i(B),quotient(quotient(eta(B),quotient(i(A),i(B))),quotient(
% quotient(
% eta(B),
% quotient(
% eta(quotient(
% i(A),
% i(B))),
% quotient(
% j(eta(B)),
% quotient(
% i(A),i(B))))),
% quotient(
% eta(B),
% quotient(
% i(A),i(B))))))
% -> quotient(eta(A),quotient(j(eta(B)),A))
% Current number of equations to process: 352
% Current number of ordered equations: 76
% Current number of rules: 843
% New rule produced :
% [1910]
% quotient(eta(A),i(quotient(quotient(difference(i(t(eta(B),C)),quotient(
% eta(quotient(
% eta(A),
% i(t(
% eta(B),C)))),
% i(t(eta(B),
% quotient(
% eta(V_3),
% quotient(
% i(C),V_3)))))),
% t(eta(B),C)),t(eta(B),V_3)))) ->
% j(j(quotient(eta(A),i(t(eta(B),C)))))
% Current number of equations to process: 352
% Current number of ordered equations: 75
% Current number of rules: 844
% New rule produced :
% [1911]
% quotient(difference(i(difference(quotient(eta(A),quotient(i(B),A)),C)),
% quotient(difference(i(A),difference(B,quotient(difference(i(
% difference(A,C)),C),
% difference(A,C)))),A)),
% quotient(difference(B,quotient(difference(i(difference(A,C)),C),difference(A,C))),A))
% -> difference(B,quotient(difference(i(difference(A,C)),C),difference(A,C)))
% Current number of equations to process: 352
% Current number of ordered equations: 74
% Current number of rules: 845
% New rule produced :
% [1912]
% quotient(difference(i(quotient(difference(A,quotient(difference(i(difference(B,C)),C),
% difference(B,C))),B)),quotient(
% difference(
% i(B),
% difference(A,
% quotient(
% difference(
% i(difference(B,C)),C),
% difference(B,C)))),B)),
% difference(quotient(eta(B),quotient(i(A),B)),C)) ->
% difference(A,quotient(difference(i(difference(B,C)),C),difference(B,C)))
% Current number of equations to process: 352
% Current number of ordered equations: 73
% Current number of rules: 846
% New rule produced :
% [1913]
% quotient(quotient(j(j(A)),i(A)),t(t(t(j(j(j(j(A)))),A),j(j(j(j(A))))),
% t(j(j(j(j(A)))),A))) ->
% t(t(t(t(j(j(j(j(A)))),A),j(j(j(j(A))))),t(j(j(j(j(A)))),A)),t(t(j(j(j(j(A)))),A),
% j(j(j(j(A))))))
% Current number of equations to process: 352
% Current number of ordered equations: 72
% Current number of rules: 847
% New rule produced :
% [1914]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% quotient(
% i(B),i(
% i(
% i(i(A))))),
% eta(A)),
% eta(A)))) ->
% quotient(eta(difference(quotient(eta(A),j(eta(A))),i(i(i(i(i(i(i(i(A)))))))))),
% quotient(i(B),difference(quotient(eta(A),j(eta(A))),i(i(i(i(i(i(i(i(A)))))))))))
% Current number of equations to process: 352
% Current number of ordered equations: 71
% Current number of rules: 848
% New rule produced :
% [1915]
% quotient(eta(A),quotient(i(t(eta(B),quotient(eta(B),quotient(quotient(
% i(quotient(
% eta(C),
% quotient(
% j(eta(B)),C))),B),
% j(eta(B)))))),A)) ->
% quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(C),B))),A))
% Current number of equations to process: 352
% Current number of ordered equations: 70
% Current number of rules: 849
% New rule produced :
% [1916]
% t(eta(B),difference(V_3,quotient(j(quotient(i(quotient(eta(quotient(quotient(
% eta(
% quotient(
% eta(
% t(
% eta(B),V_3)),
% quotient(
% i(A),
% t(
% eta(B),V_3)))),
% quotient(
% i(
% t(
% eta(B),C)),
% quotient(
% eta(
% t(
% eta(B),V_3)),
% quotient(
% i(A),
% t(
% eta(B),V_3))))),
% j(eta(B)))),
% quotient(j(B),quotient(
% quotient(
% eta(quotient(
% eta(t(
% eta(B),V_3)),
% quotient(
% i(A),
% t(eta(B),V_3)))),
% quotient(
% i(t(eta(B),C)),
% quotient(
% eta(t(eta(B),V_3)),
% quotient(
% i(A),t(eta(B),V_3))))),
% j(eta(B)))))),
% j(eta(B)))),j(j(B))))) ->
% quotient(quotient(eta(A),quotient(i(t(eta(B),quotient(eta(C),quotient(
% i(V_3),C)))),A)),
% t(eta(B),V_3))
% Current number of equations to process: 352
% Current number of ordered equations: 69
% Current number of rules: 850
% New rule produced :
% [1917]
% quotient(quotient(quotient(quotient(eta(quotient(eta(B),quotient(i(C),B))),
% quotient(i(quotient(A,j(A))),quotient(eta(B),
% quotient(i(C),B)))),A),A),
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)) ->
% t(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A),
% quotient(quotient(quotient(eta(C),quotient(i(quotient(A,j(A))),C)),A),A))
% Current number of equations to process: 352
% Current number of ordered equations: 68
% Current number of rules: 851
% New rule produced :
% [1918]
% quotient(difference(C,quotient(quotient(eta(C),quotient(i(V_3),C)),quotient(
% quotient(
% quotient(
% eta(
% difference(A,C)),
% quotient(
% i(
% quotient(
% eta(V_3),
% quotient(
% i(A),V_3))),
% difference(A,C))),A),
% quotient(
% eta(C),
% quotient(
% i(V_3),C))))),A)
% ->
% quotient(quotient(quotient(eta(V_3),quotient(i(quotient(eta(A),quotient(
% i(C),A))),V_3)),C),A)
% Current number of equations to process: 350
% Current number of ordered equations: 68
% Current number of rules: 852
% New rule produced :
% [1919]
% quotient(quotient(eta(difference(B,quotient(difference(i(B),quotient(
% eta(A),i(
% quotient(B,
% j(B))))),B))),
% quotient(i(quotient(eta(C),quotient(i(B),C))),difference(B,quotient(
% difference(
% i(B),
% quotient(
% eta(A),
% i(
% quotient(B,
% j(B))))),B)))),B)
% ->
% t(quotient(eta(A),i(B)),quotient(eta(C),quotient(i(quotient(eta(A),i(B))),C)))
% Current number of equations to process: 350
% Current number of ordered equations: 67
% Current number of rules: 853
% New rule produced :
% [1920]
% quotient(quotient(eta(quotient(quotient(quotient(eta(difference(C,A)),
% quotient(i(quotient(eta(B),quotient(
% i(C),B))),
% difference(C,A))),C),quotient(
% eta(A),quotient(
% i(B),A)))),
% quotient(i(quotient(eta(V_3),quotient(i(quotient(eta(quotient(
% eta(A),
% quotient(
% i(B),A))),
% quotient(i(C),quotient(
% eta(A),
% quotient(
% i(B),A))))),V_3))),
% quotient(quotient(quotient(eta(difference(C,A)),quotient(i(quotient(
% eta(B),
% quotient(
% i(C),B))),
% difference(C,A))),C),
% quotient(eta(A),quotient(i(B),A))))),quotient(eta(quotient(eta(A),
% quotient(i(B),A))),
% quotient(i(C),quotient(
% eta(A),quotient(
% i(B),A)))))
% <->
% quotient(quotient(quotient(eta(difference(C,V_3)),quotient(i(quotient(
% eta(quotient(
% eta(A),
% quotient(
% i(B),A))),
% quotient(
% i(C),quotient(
% eta(A),
% quotient(
% i(B),A))))),
% difference(C,V_3))),C),
% quotient(eta(A),quotient(i(B),A)))
% Current number of equations to process: 350
% Current number of ordered equations: 65
% Current number of rules: 854
% New rule produced :
% [1921]
% quotient(quotient(quotient(eta(difference(C,V_3)),quotient(i(quotient(
% eta(quotient(
% eta(A),
% quotient(
% i(B),A))),
% quotient(
% i(C),quotient(
% eta(A),
% quotient(
% i(B),A))))),
% difference(C,V_3))),C),
% quotient(eta(A),quotient(i(B),A))) <->
% quotient(quotient(eta(quotient(quotient(quotient(eta(difference(C,A)),
% quotient(i(quotient(eta(B),quotient(
% i(C),B))),
% difference(C,A))),C),quotient(
% eta(A),quotient(
% i(B),A)))),
% quotient(i(quotient(eta(V_3),quotient(i(quotient(eta(quotient(
% eta(A),
% quotient(
% i(B),A))),
% quotient(i(C),quotient(
% eta(A),
% quotient(
% i(B),A))))),V_3))),
% quotient(quotient(quotient(eta(difference(C,A)),quotient(i(quotient(
% eta(B),
% quotient(
% i(C),B))),
% difference(C,A))),C),
% quotient(eta(A),quotient(i(B),A))))),quotient(eta(quotient(eta(A),
% quotient(i(B),A))),
% quotient(i(C),quotient(
% eta(A),quotient(
% i(B),A)))))
% Current number of equations to process: 350
% Current number of ordered equations: 63
% Current number of rules: 855
% New rule produced :
% [1922]
% quotient(difference(t(t(quotient(A,B),B),quotient(A,B)),t(t(t(quotient(A,B),B),
% quotient(A,B)),
% t(quotient(A,B),B))),
% t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B))) ->
% difference(A,t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B)))
% Current number of equations to process: 350
% Current number of ordered equations: 62
% Current number of rules: 856
% New rule produced :
% [1923]
% quotient(eta(A),quotient(i(quotient(quotient(quotient(eta(B),quotient(
% i(quotient(A,
% j(A))),B)),A),A)),
% j(A))) <->
% quotient(quotient(quotient(eta(quotient(eta(A),quotient(i(B),i(A)))),
% quotient(i(quotient(A,j(A))),quotient(eta(A),quotient(
% i(B),i(A))))),A),A)
% Current number of equations to process: 350
% Current number of ordered equations: 61
% Current number of rules: 857
% New rule produced :
% [1924]
% quotient(quotient(quotient(eta(quotient(eta(A),quotient(i(B),i(A)))),
% quotient(i(quotient(A,j(A))),quotient(eta(A),quotient(
% i(B),i(A))))),A),A)
% <->
% quotient(eta(A),quotient(i(quotient(quotient(quotient(eta(B),quotient(
% i(quotient(A,
% j(A))),B)),A),A)),
% j(A)))
% Current number of equations to process: 350
% Current number of ordered equations: 60
% Current number of rules: 858
% New rule produced :
% [1925]
% quotient(difference(i(A),quotient(quotient(eta(B),quotient(i(i(A)),B)),
% quotient(quotient(quotient(eta(difference(A,B)),
% quotient(j(eta(A)),difference(A,B))),A),
% quotient(eta(B),quotient(i(i(A)),B))))),A) ->
% quotient(quotient(quotient(quotient(eta(quotient(quotient(eta(difference(
% i(A),B)),
% quotient(i(quotient(
% eta(A),t(
% i(A),
% i(
% t(A,
% i(
% quotient(A,
% j(A)))))))),
% difference(i(A),B))),
% i(A))),quotient(i(quotient(eta(
% quotient(
% eta(x1),
% quotient(
% i(A),x1))),
% quotient(i(i(A)),
% quotient(eta(x1),
% quotient(i(A),x1))))),
% quotient(quotient(eta(
% difference(
% i(A),B)),
% quotient(i(quotient(
% eta(A),
% t(
% i(A),
% i(
% t(A,
% i(
% quotient(A,
% j(A)))))))),
% difference(i(A),B))),
% i(A)))),i(A)),A),x1)
% Current number of equations to process: 349
% Current number of ordered equations: 60
% Current number of rules: 859
% New rule produced :
% [1926]
% quotient(difference(i(difference(A,quotient(eta(B),quotient(j(eta(A)),B)))),
% quotient(difference(i(difference(A,B)),difference(i(difference(A,B)),
% quotient(eta(A),i(difference(A,B))))),
% difference(A,B))),difference(A,quotient(eta(B),quotient(j(eta(A)),B))))
% -> difference(i(difference(A,B)),quotient(eta(A),i(difference(A,B))))
% Current number of equations to process: 349
% Current number of ordered equations: 59
% Current number of rules: 860
% New rule produced :
% [1927]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(B,A),A),A),A)))
% ->
% quotient(eta(difference(quotient(A,j(A)),quotient(A,i(quotient(A,j(A)))))),
% quotient(i(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% difference(quotient(A,j(A)),quotient(A,i(quotient(A,j(A)))))))
% Current number of equations to process: 349
% Current number of ordered equations: 58
% Current number of rules: 861
% New rule produced :
% [1928]
% quotient(eta(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% quotient(i(difference(quotient(A,j(A)),j(j(A)))),quotient(quotient(quotient(
% eta(B),
% quotient(
% i(
% quotient(A,
% j(A))),B)),A),A)))
% ->
% quotient(quotient(quotient(eta(quotient(eta(B),quotient(A,B))),quotient(
% i(quotient(A,
% j(A))),
% quotient(
% eta(B),
% quotient(A,B)))),A),A)
% Current number of equations to process: 349
% Current number of ordered equations: 57
% Current number of rules: 862
% New rule produced :
% [1929]
% quotient(difference(i(A),quotient(eta(B),quotient(i(quotient(eta(C),quotient(
% i(A),C))),
% j(j(B))))),A) ->
% quotient(eta(quotient(eta(A),quotient(j(B),A))),quotient(i(C),quotient(
% eta(A),
% quotient(
% j(B),A))))
% Current number of equations to process: 349
% Current number of ordered equations: 56
% Current number of rules: 863
% New rule produced :
% [1930]
% quotient(quotient(quotient(eta(quotient(quotient(eta(difference(i(A),B)),
% quotient(i(quotient(eta(C),quotient(
% i(
% i(A)),C))),
% difference(i(A),B))),i(A))),quotient(
% i(
% quotient(
% eta(
% quotient(
% eta(V_3),
% quotient(
% i(A),V_3))),
% quotient(
% i(
% i(A)),
% quotient(
% eta(V_3),
% quotient(
% i(A),V_3))))),
% quotient(
% quotient(
% eta(
% difference(
% i(A),B)),
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% i(
% i(A)),C))),
% difference(
% i(A),B))),
% i(A)))),
% i(A)),A) ->
% quotient(eta(quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(C),B))),A))),
% quotient(i(V_3),quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(C),B))),A))))
% Current number of equations to process: 349
% Current number of ordered equations: 55
% Current number of rules: 864
% New rule produced :
% [1931]
% quotient(eta(A),i(quotient(quotient(difference(i(t(quotient(B,C),C)),
% quotient(j(quotient(i(B),eta(quotient(
% eta(A),
% i(t(
% quotient(B,C),C)))))),
% t(B,quotient(B,quotient(eta(C),quotient(
% i(B),C)))))),
% t(quotient(B,C),C)),B))) ->
% j(j(quotient(eta(A),i(t(quotient(B,C),C)))))
% Current number of equations to process: 349
% Current number of ordered equations: 54
% Current number of rules: 865
% New rule produced :
% [1932]
% quotient(j(quotient(i(quotient(eta(quotient(eta(B),i(quotient(quotient(
% eta(A),
% quotient(
% j(eta(B)),A)),B)))),
% quotient(j(B),quotient(eta(B),i(quotient(quotient(
% eta(A),
% quotient(
% j(eta(B)),A)),B)))))),
% j(eta(B)))),j(j(B))) ->
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),j(eta(B)))),A)),j(j(B)))
% Current number of equations to process: 348
% Current number of ordered equations: 54
% Current number of rules: 866
% New rule produced :
% [1933]
% quotient(j(A),t(t(t(t(i(A),eta(A)),i(A)),t(i(A),eta(A))),t(t(i(A),eta(A)),
% i(A)))) ->
% t(t(t(t(t(i(A),eta(A)),i(A)),t(i(A),eta(A))),t(t(i(A),eta(A)),i(A))),
% t(t(t(i(A),eta(A)),i(A)),t(i(A),eta(A))))
% Current number of equations to process: 348
% Current number of ordered equations: 53
% Current number of rules: 867
% New rule produced :
% [1934]
% quotient(difference(A,quotient(difference(i(quotient(A,j(A))),quotient(
% j(j(quotient(A,
% j(A)))),
% i(quotient(A,
% j(A))))),
% quotient(A,j(A)))),j(j(j(j(quotient(A,j(A))))))) ->
% quotient(quotient(quotient(eta(A),quotient(i(quotient(eta(quotient(A,j(A))),
% quotient(i(A),j(j(j(j(quotient(A,
% j(A))))))))),A)),A),
% j(j(j(j(quotient(A,j(A)))))))
% Current number of equations to process: 348
% Current number of ordered equations: 52
% Current number of rules: 868
% New rule produced :
% [1935]
% difference(quotient(eta(B),j(eta(B))),quotient(eta(B),quotient(i(quotient(
% eta(B),
% quotient(
% i(A),
% j(j(B))))),
% i(B)))) ->
% quotient(quotient(quotient(eta(A),quotient(i(quotient(eta(B),j(eta(B)))),A)),
% j(j(B))),i(B))
% Current number of equations to process: 348
% Current number of ordered equations: 51
% Current number of rules: 869
% New rule produced :
% [1936]
% quotient(quotient(quotient(eta(difference(quotient(quotient(eta(B),quotient(
% i(
% quotient(
% eta(C),
% quotient(
% i(A),C))),B)),A),B)),
% quotient(i(quotient(eta(quotient(eta(quotient(C,j(C))),
% quotient(i(A),quotient(C,j(C))))),
% quotient(i(quotient(quotient(eta(B),quotient(
% i(quotient(
% eta(C),
% quotient(
% i(A),C))),B)),A)),
% quotient(eta(quotient(C,j(C))),quotient(
% i(A),quotient(C,
% j(C))))))),
% difference(quotient(quotient(eta(B),quotient(i(quotient(
% eta(C),
% quotient(
% i(A),C))),B)),A),B))),
% quotient(quotient(eta(B),quotient(i(quotient(eta(C),quotient(i(A),C))),B)),A)),A)
% ->
% quotient(t(C,quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(
% i(C),quotient(
% eta(A),
% quotient(
% i(B),A))))),
% quotient(eta(A),quotient(i(B),A)))
% Current number of equations to process: 348
% Current number of ordered equations: 50
% Current number of rules: 870
% New rule produced :
% [1937]
% quotient(i(i(A)),t(t(t(i(i(i(i(A)))),eta(A)),i(i(i(i(A))))),t(i(i(i(i(A)))),
% eta(A)))) ->
% t(t(t(t(i(i(i(i(A)))),eta(A)),i(i(i(i(A))))),t(i(i(i(i(A)))),eta(A))),
% t(t(i(i(i(i(A)))),eta(A)),i(i(i(i(A))))))
% Current number of equations to process: 348
% Current number of ordered equations: 49
% Current number of rules: 871
% New rule produced :
% [1938]
% difference(quotient(A,j(A)),quotient(A,t(eta(B),quotient(quotient(quotient(
% difference(C,
% quotient(
% j(quotient(
% i(
% quotient(
% eta(
% quotient(
% quotient(
% difference(
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(
% j(B)))),A),
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(
% j(B)))),
% j(
% eta(B)))),
% quotient(
% j(B),
% quotient(
% quotient(
% difference(
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(
% j(B)))),A),
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(
% j(B)))),
% j(
% eta(B)))))),
% j(
% eta(B)))),
% j(j(B)))),
% eta(B)),
% quotient(j(quotient(
% i(
% quotient(
% eta(
% quotient(A,
% j(
% eta(B)))),
% quotient(
% j(B),
% quotient(A,
% j(
% eta(B)))))),
% j(
% eta(B)))),
% j(j(B)))),quotient(
% j(
% quotient(
% i(
% quotient(
% eta(
% quotient(A,
% j(
% eta(B)))),
% quotient(
% j(B),
% quotient(A,
% j(
% eta(B)))))),
% j(
% eta(B)))),
% j(
% j(B)))))))
% <->
% difference(quotient(A,j(A)),quotient(A,t(eta(B),quotient(quotient(difference(
% quotient(
% eta(B),
% i(C)),
% quotient(
% j(quotient(
% i(
% quotient(
% eta(
% quotient(A,
% j(
% eta(B)))),
% quotient(
% j(B),
% quotient(A,
% j(
% eta(B)))))),
% j(
% eta(B)))),
% j(j(B)))),
% quotient(j(quotient(
% i(
% quotient(
% eta(
% quotient(A,
% j(
% eta(B)))),
% quotient(
% j(B),
% quotient(A,
% j(
% eta(B)))))),
% j(
% eta(B)))),
% j(j(B)))),quotient(
% j(
% quotient(
% i(
% quotient(
% eta(
% quotient(A,
% j(
% eta(B)))),
% quotient(
% j(B),
% quotient(A,
% j(
% eta(B)))))),
% j(
% eta(B)))),
% j(
% j(B)))))))
% Current number of equations to process: 348
% Current number of ordered equations: 48
% Current number of rules: 872
% New rule produced :
% [1939]
% difference(quotient(A,j(A)),quotient(A,t(eta(B),quotient(quotient(difference(
% quotient(
% eta(B),
% i(C)),
% quotient(
% j(quotient(
% i(
% quotient(
% eta(
% quotient(A,
% j(
% eta(B)))),
% quotient(
% j(B),
% quotient(A,
% j(
% eta(B)))))),
% j(
% eta(B)))),
% j(j(B)))),
% quotient(j(quotient(
% i(
% quotient(
% eta(
% quotient(A,
% j(
% eta(B)))),
% quotient(
% j(B),
% quotient(A,
% j(
% eta(B)))))),
% j(
% eta(B)))),
% j(j(B)))),quotient(
% j(
% quotient(
% i(
% quotient(
% eta(
% quotient(A,
% j(
% eta(B)))),
% quotient(
% j(B),
% quotient(A,
% j(
% eta(B)))))),
% j(
% eta(B)))),
% j(
% j(B)))))))
% <->
% difference(quotient(A,j(A)),quotient(A,t(eta(B),quotient(quotient(quotient(
% difference(C,
% quotient(
% j(quotient(
% i(
% quotient(
% eta(
% quotient(
% quotient(
% difference(
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(
% j(B)))),A),
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(
% j(B)))),
% j(
% eta(B)))),
% quotient(
% j(B),
% quotient(
% quotient(
% difference(
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(
% j(B)))),A),
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(
% j(B)))),
% j(
% eta(B)))))),
% j(
% eta(B)))),
% j(j(B)))),
% eta(B)),
% quotient(j(quotient(
% i(
% quotient(
% eta(
% quotient(A,
% j(
% eta(B)))),
% quotient(
% j(B),
% quotient(A,
% j(
% eta(B)))))),
% j(
% eta(B)))),
% j(j(B)))),quotient(
% j(
% quotient(
% i(
% quotient(
% eta(
% quotient(A,
% j(
% eta(B)))),
% quotient(
% j(B),
% quotient(A,
% j(
% eta(B)))))),
% j(
% eta(B)))),
% j(
% j(B)))))))
% Current number of equations to process: 348
% Current number of ordered equations: 47
% Current number of rules: 873
% New rule produced :
% [1940]
% quotient(eta(quotient(eta(B),i(quotient(eta(C),quotient(i(V_3),C))))),
% quotient(j(eta(B)),quotient(eta(B),i(quotient(eta(C),quotient(i(V_3),C))))))
% ->
% quotient(eta(B),i(t(quotient(quotient(eta(C),quotient(i(V_3),C)),quotient(
% eta(B),
% i(quotient(
% eta(C),
% quotient(
% i(V_3),C))))),
% quotient(eta(B),i(quotient(eta(C),quotient(i(V_3),C)))))))
% Current number of equations to process: 348
% Current number of ordered equations: 46
% Current number of rules: 874
% New rule produced :
% [1941]
% quotient(difference(i(B),quotient(quotient(eta(C),quotient(i(quotient(A,B)),C)),
% quotient(quotient(quotient(eta(difference(B,C)),
% quotient(i(A),difference(B,C))),B),
% quotient(eta(C),quotient(i(quotient(A,B)),C))))),B)
% ->
% quotient(eta(B),quotient(i(quotient(eta(C),quotient(i(quotient(A,B)),C))),B))
% Current number of equations to process: 348
% Current number of ordered equations: 45
% Current number of rules: 875
% New rule produced :
% [1942]
% quotient(t(quotient(eta(B),i(C)),quotient(eta(A),quotient(i(quotient(
% eta(B),i(C))),A))),A)
% -> quotient(eta(B),i(quotient(t(C,quotient(eta(A),quotient(i(C),A))),A)))
% Current number of equations to process: 348
% Current number of ordered equations: 44
% Current number of rules: 876
% New rule produced :
% [1943]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% quotient(
% i(B),i(
% i(i(A)))),
% eta(A)),
% eta(A)))) ->
% quotient(eta(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% i(
% i(
% i(i(A)))),
% eta(A))))),
% quotient(i(B),difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% i(
% i(
% i(i(A)))),
% eta(A))))))
% Current number of equations to process: 348
% Current number of ordered equations: 43
% Current number of rules: 877
% New rule produced :
% [1944]
% quotient(quotient(quotient(difference(i(A),quotient(eta(B),i(quotient(
% quotient(
% eta(B),quotient(
% i(
% i(A)),B)),
% quotient(
% quotient(
% quotient(
% eta(difference(
% quotient(
% eta(x1),
% quotient(
% i(A),x1)),B)),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(quotient(
% eta(x1),
% quotient(
% i(A),x1))),
% i(A)))),
% difference(
% quotient(
% eta(x1),
% quotient(
% i(A),x1)),B))),
% quotient(
% eta(x1),
% quotient(
% i(A),x1))),
% quotient(
% eta(B),quotient(
% i(
% i(A)),B))))))),A),x1),
% i(A)) ->
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(i(A)),i(i(B))))),A)),
% i(A))
% Current number of equations to process: 348
% Current number of ordered equations: 42
% Current number of rules: 878
% New rule produced :
% [1945]
% difference(t(t(eta(A),t(t(quotient(B,quotient(j(quotient(i(quotient(eta(C),
% quotient(j(A),C))),
% j(eta(A)))),j(j(A)))),
% quotient(j(quotient(i(quotient(eta(C),quotient(
% j(A),C))),
% j(eta(A)))),j(j(A)))),quotient(B,quotient(
% j(
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(
% j(A)))))),
% t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A)))),
% t(eta(A),B)) ->
% t(t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A))),quotient(
% t(eta(A),B),
% quotient(C,
% eta(A))))
% Current number of equations to process: 348
% Current number of ordered equations: 41
% Current number of rules: 879
% New rule produced :
% [1946]
% quotient(quotient(eta(A),j(eta(B))),t(t(t(quotient(eta(A),i(B)),j(B)),
% quotient(eta(A),i(B))),t(quotient(
% eta(A),
% i(B)),
% j(B)))) ->
% t(t(t(t(quotient(eta(A),i(B)),j(B)),quotient(eta(A),i(B))),t(quotient(
% eta(A),i(B)),
% j(B))),t(t(
% quotient(
% eta(A),
% i(B)),
% j(B)),
% quotient(
% eta(A),
% i(B))))
% Current number of equations to process: 348
% Current number of ordered equations: 40
% Current number of rules: 880
% New rule produced :
% [1947]
% quotient(quotient(quotient(eta(difference(B,C)),quotient(i(quotient(eta(A),
% quotient(i(B),A))),
% difference(B,C))),B),A) <->
% quotient(quotient(eta(quotient(difference(B,A),A)),quotient(i(quotient(
% eta(C),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),C))),
% quotient(difference(B,A),A))),
% quotient(eta(A),quotient(i(B),A)))
% Current number of equations to process: 348
% Current number of ordered equations: 39
% Current number of rules: 881
% New rule produced :
% [1948]
% quotient(quotient(eta(quotient(difference(B,A),A)),quotient(i(quotient(
% eta(C),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),C))),
% quotient(difference(B,A),A))),
% quotient(eta(A),quotient(i(B),A))) <->
% quotient(quotient(quotient(eta(difference(B,C)),quotient(i(quotient(eta(A),
% quotient(i(B),A))),
% difference(B,C))),B),A)
% Current number of equations to process: 348
% Current number of ordered equations: 38
% Current number of rules: 882
% New rule produced :
% [1949]
% quotient(t(eta(A),B),t(t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,
% eta(A))),
% t(eta(A),quotient(B,quotient(j(quotient(i(quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(eta(A)))),j(j(A)))))))
% ->
% t(t(t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A))),quotient(
% t(
% eta(A),B),
% quotient(C,
% eta(A)))),
% t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A))))
% Current number of equations to process: 347
% Current number of ordered equations: 37
% Current number of rules: 883
% New rule produced :
% [1950]
% quotient(quotient(quotient(eta(quotient(eta(difference(A,B)),quotient(
% i(C),difference(A,B)))),
% quotient(i(quotient(A,j(A))),quotient(eta(difference(A,B)),
% quotient(i(C),difference(A,B))))),A),A)
% <->
% quotient(eta(quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(
% i(quotient(A,
% j(A))),B))),
% j(A))),quotient(A,j(A)))),quotient(
% i(quotient(
% quotient(
% quotient(
% eta(C),
% quotient(
% i(quotient(A,
% j(A))),C)),A),A)),
% quotient(
% quotient(
% eta(A),
% quotient(
% i(quotient(
% eta(B),
% quotient(
% i(quotient(A,
% j(A))),B))),
% j(A))),
% quotient(A,
% j(A)))))
% Current number of equations to process: 347
% Current number of ordered equations: 36
% Current number of rules: 884
% New rule produced :
% [1951]
% quotient(eta(quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(
% i(quotient(A,
% j(A))),B))),
% j(A))),quotient(A,j(A)))),quotient(
% i(quotient(
% quotient(
% quotient(
% eta(C),
% quotient(
% i(quotient(A,
% j(A))),C)),A),A)),
% quotient(
% quotient(
% eta(A),
% quotient(
% i(quotient(
% eta(B),
% quotient(
% i(quotient(A,
% j(A))),B))),
% j(A))),
% quotient(A,
% j(A))))) <->
% quotient(quotient(quotient(eta(quotient(eta(difference(A,B)),quotient(
% i(C),difference(A,B)))),
% quotient(i(quotient(A,j(A))),quotient(eta(difference(A,B)),
% quotient(i(C),difference(A,B))))),A),A)
% Current number of equations to process: 347
% Current number of ordered equations: 35
% Current number of rules: 885
% New rule produced :
% [1952]
% quotient(eta(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% quotient(i(difference(quotient(A,j(A)),quotient(A,i(quotient(A,j(A)))))),
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A))) ->
% quotient(quotient(quotient(eta(quotient(eta(B),quotient(i(A),B))),quotient(
% i(quotient(A,
% j(A))),
% quotient(
% eta(B),
% quotient(
% i(A),B)))),A),A)
% Current number of equations to process: 347
% Current number of ordered equations: 34
% Current number of rules: 886
% New rule produced :
% [1953]
% quotient(eta(A),i(quotient(quotient(quotient(eta(B),quotient(quotient(i(C),B),
% eta(B))),quotient(
% eta(A),i(
% quotient(
% i(
% i(B)),
% quotient(
% eta(A),
% i(
% quotient(
% eta(B),
% quotient(
% quotient(
% i(C),B),
% eta(B))))))))),
% t(quotient(eta(A),i(i(i(B)))),C)))) ->
% quotient(eta(A),i(quotient(eta(B),quotient(quotient(i(C),B),eta(B)))))
% Current number of equations to process: 347
% Current number of ordered equations: 33
% Current number of rules: 887
% New rule produced :
% [1954]
% quotient(A,t(t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B)),
% t(t(quotient(A,B),B),quotient(A,B)))) ->
% t(t(t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B)),t(t(quotient(A,B),B),
% quotient(A,B))),
% t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B)))
% Current number of equations to process: 347
% Current number of ordered equations: 32
% Current number of rules: 888
% New rule produced :
% [1955]
% difference(i(A),quotient(eta(A),j(B))) ->
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(i(A)),j(j(B))))),A)),
% i(A))
% Rule [487] difference(i(A),quotient(eta(A),j(eta(A)))) -> j(j(A)) collapsed.
% Current number of equations to process: 348
% Current number of ordered equations: 31
% Current number of rules: 888
% New rule produced :
% [1956] quotient(t(quotient(eta(A),j(eta(A))),j(eta(A))),i(A)) -> j(j(A))
% Current number of equations to process: 347
% Current number of ordered equations: 31
% Current number of rules: 889
% New rule produced :
% [1957]
% difference(A,quotient(quotient(eta(A),quotient(i(B),A)),j(quotient(eta(A),
% quotient(i(B),A)))))
% ->
% quotient(quotient(eta(B),quotient(i(quotient(quotient(eta(A),quotient(i(B),A)),
% quotient(B,quotient(eta(A),quotient(
% i(B),A))))),B)),A)
% Current number of equations to process: 347
% Current number of ordered equations: 30
% Current number of rules: 890
% New rule produced :
% [1958]
% quotient(eta(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% quotient(i(difference(quotient(A,j(A)),quotient(A,quotient(quotient(C,A),A)))),
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)))
% <->
% quotient(quotient(quotient(eta(quotient(eta(B),quotient(i(quotient(A,C)),B))),
% quotient(i(quotient(A,j(A))),quotient(eta(B),quotient(
% i(quotient(A,C)),B)))),A),A)
% Current number of equations to process: 347
% Current number of ordered equations: 29
% Current number of rules: 891
% New rule produced :
% [1959]
% quotient(quotient(quotient(eta(quotient(eta(B),quotient(i(quotient(A,C)),B))),
% quotient(i(quotient(A,j(A))),quotient(eta(B),quotient(
% i(quotient(A,C)),B)))),A),A)
% <->
% quotient(eta(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% quotient(i(difference(quotient(A,j(A)),quotient(A,quotient(quotient(C,A),A)))),
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)))
% Current number of equations to process: 347
% Current number of ordered equations: 28
% Current number of rules: 892
% New rule produced :
% [1960]
% quotient(quotient(difference(i(A),quotient(difference(i(B),quotient(eta(
% quotient(
% eta(A),
% quotient(
% i(B),A))),
% i(quotient(
% eta(quotient(
% eta(C),
% quotient(
% i(A),C))),
% quotient(
% i(B),quotient(
% eta(C),
% quotient(
% i(A),C))))))),B)),A),C)
% -> j(j(quotient(eta(A),quotient(i(B),A))))
% Current number of equations to process: 347
% Current number of ordered equations: 27
% Current number of rules: 893
% New rule produced :
% [1961]
% difference(t(t(t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B)),
% t(t(quotient(A,B),B),quotient(A,B))),t(t(t(quotient(A,B),B),
% quotient(A,B)),t(
% quotient(A,B),B))),A)
% ->
% t(t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B)),t(t(quotient(A,B),B),
% quotient(A,B)))
% Current number of equations to process: 347
% Current number of ordered equations: 24
% Current number of rules: 894
% New rule produced :
% [1962]
% t(eta(A),t(t(t(quotient(B,quotient(j(quotient(i(quotient(eta(C),quotient(
% j(A),C))),
% j(eta(A)))),j(j(A)))),quotient(j(
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(j(A)))),
% quotient(B,quotient(j(quotient(i(quotient(eta(C),quotient(j(A),C))),
% j(eta(A)))),j(j(A))))),t(quotient(B,
% quotient(j(
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(j(A)))),quotient(
% j(
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(
% j(A))))))
% <->
% t(t(t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A))),quotient(
% t(
% eta(A),B),
% quotient(C,
% eta(A)))),
% t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A))))
% Current number of equations to process: 347
% Current number of ordered equations: 23
% Current number of rules: 895
% New rule produced :
% [1963]
% t(t(t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A))),quotient(
% t(
% eta(A),B),
% quotient(C,
% eta(A)))),
% t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A)))) <->
% t(eta(A),t(t(t(quotient(B,quotient(j(quotient(i(quotient(eta(C),quotient(
% j(A),C))),
% j(eta(A)))),j(j(A)))),quotient(j(
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(j(A)))),
% quotient(B,quotient(j(quotient(i(quotient(eta(C),quotient(j(A),C))),
% j(eta(A)))),j(j(A))))),t(quotient(B,
% quotient(j(
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(j(A)))),quotient(
% j(
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(
% j(A))))))
% Current number of equations to process: 347
% Current number of ordered equations: 22
% Current number of rules: 896
% New rule produced :
% [1964]
% quotient(difference(i(t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B))),
% quotient(difference(i(t(t(quotient(A,B),B),quotient(A,B))),A),
% t(t(quotient(A,B),B),quotient(A,B)))),t(t(t(quotient(A,B),B),
% quotient(A,B)),t(quotient(A,B),B)))
% -> A
% Current number of equations to process: 347
% Current number of ordered equations: 21
% Current number of rules: 897
% New rule produced :
% [1965]
% quotient(quotient(eta(A),j(eta(B))),t(t(t(quotient(eta(A),i(i(B))),B),
% quotient(eta(A),i(i(B)))),t(quotient(
% eta(A),
% i(i(B))),B)))
% ->
% t(t(t(t(quotient(eta(A),i(i(B))),B),quotient(eta(A),i(i(B)))),t(quotient(
% eta(A),
% i(i(B))),B)),
% t(t(quotient(eta(A),i(i(B))),B),quotient(eta(A),i(i(B)))))
% Current number of equations to process: 347
% Current number of ordered equations: 20
% Current number of rules: 898
% New rule produced :
% [1966]
% quotient(difference(A,i(quotient(A,j(A)))),i(quotient(quotient(A,j(A)),
% j(quotient(A,j(A)))))) ->
% quotient(quotient(quotient(eta(A),quotient(i(quotient(eta(quotient(quotient(A,
% j(A)),
% j(quotient(A,j(A))))),
% quotient(i(A),i(quotient(
% quotient(A,
% j(A)),j(
% quotient(A,
% j(A)))))))),A)),A),
% i(quotient(quotient(A,j(A)),j(quotient(A,j(A))))))
% Current number of equations to process: 347
% Current number of ordered equations: 19
% Current number of rules: 899
% New rule produced :
% [1967]
% quotient(eta(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% quotient(
% j(quotient(
% i(quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(eta(B)))),
% j(j(B))),A),A)))),
% quotient(i(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(j(quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(j(B))),A),A)))))
% ->
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),i(i(B)))),A),A)
% Current number of equations to process: 347
% Current number of ordered equations: 18
% Current number of rules: 900
% New rule produced :
% [1968]
% difference(i(i(i(B))),quotient(eta(B),i(quotient(quotient(eta(B),quotient(
% i(A),
% i(B))),
% quotient(quotient(eta(B),quotient(
% eta(
% quotient(
% i(A),
% i(B))),
% quotient(
% j(eta(B)),
% quotient(
% i(A),
% i(B))))),
% quotient(eta(B),quotient(i(A),i(B))))))))
% -> quotient(eta(A),quotient(j(eta(B)),A))
% Current number of equations to process: 347
% Current number of ordered equations: 17
% Current number of rules: 901
% New rule produced :
% [1969]
% t(eta(A),t(t(quotient(quotient(j(quotient(i(quotient(eta(B),quotient(j(A),B))),
% j(eta(A)))),j(j(A))),C),C),quotient(
% quotient(
% j(quotient(
% i(quotient(
% eta(B),
% quotient(
% j(A),B))),
% j(eta(A)))),
% j(j(A))),C))) ->
% t(t(quotient(quotient(B,eta(A)),t(eta(A),C)),t(eta(A),C)),quotient(quotient(B,
% eta(A)),
% t(eta(A),C)))
% Rule
% [1827]
% quotient(quotient(B,eta(A)),t(eta(A),t(t(quotient(quotient(j(quotient(
% i(quotient(
% eta(B),
% quotient(
% j(A),B))),
% j(eta(A)))),
% j(j(A))),C),C),quotient(
% quotient(
% j(quotient(
% i(
% quotient(
% eta(B),
% quotient(
% j(A),B))),
% j(
% eta(A)))),
% j(j(A))),C))))
% ->
% t(eta(A),t(t(t(quotient(quotient(j(quotient(i(quotient(eta(B),quotient(
% j(A),B))),
% j(eta(A)))),j(j(A))),C),C),quotient(
% quotient(
% j(quotient(
% i(quotient(
% eta(B),
% quotient(
% j(A),B))),
% j(eta(A)))),
% j(j(A))),C)),
% t(quotient(quotient(j(quotient(i(quotient(eta(B),quotient(j(A),B))),
% j(eta(A)))),j(j(A))),C),C))) collapsed.
% Current number of equations to process: 348
% Current number of ordered equations: 16
% Current number of rules: 901
% New rule produced :
% [1970]
% difference(t(t(t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A))),
% t(eta(A),quotient(B,quotient(j(quotient(i(quotient(eta(C),
% quotient(j(A),C))),
% j(eta(A)))),j(j(A)))))),t(
% quotient(
% t(
% eta(A),B),
% quotient(C,
% eta(A))),
% quotient(C,
% eta(A)))),
% t(eta(A),B)) ->
% t(t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A))),quotient(
% t(eta(A),B),
% quotient(C,
% eta(A))))
% Current number of equations to process: 348
% Current number of ordered equations: 15
% Current number of rules: 902
% New rule produced :
% [1971]
% difference(t(t(t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A))),
% quotient(t(eta(A),B),quotient(C,eta(A)))),t(eta(A),t(quotient(B,
% quotient(
% j(quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(j(A)))),
% quotient(
% j(quotient(
% i(quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(eta(A)))),
% j(j(A)))))),
% t(eta(A),B)) ->
% t(t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A))),quotient(
% t(eta(A),B),
% quotient(C,
% eta(A))))
% Current number of equations to process: 348
% Current number of ordered equations: 14
% Current number of rules: 903
% New rule produced :
% [1972]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(B,
% quotient(
% difference(C,A),
% j(C))),
% quotient(A,j(C))),A),A)))
% ->
% quotient(eta(difference(quotient(A,j(A)),quotient(A,quotient(quotient(j(C),A),A)))),
% quotient(i(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(j(C),A),A)))))
% Current number of equations to process: 348
% Current number of ordered equations: 13
% Current number of rules: 904
% New rule produced :
% [1973]
% difference(t(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A),
% quotient(quotient(quotient(eta(C),quotient(i(quotient(A,j(A))),C)),A),A)),
% quotient(quotient(quotient(eta(quotient(eta(B),quotient(i(C),B))),quotient(
% i(quotient(A,
% j(A))),
% quotient(
% eta(B),
% quotient(
% i(C),B)))),A),A))
% -> quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)
% Current number of equations to process: 348
% Current number of ordered equations: 12
% Current number of rules: 905
% New rule produced :
% [1974]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(B,
% quotient(
% difference(
% j(eta(C)),A),
% eta(C))),
% quotient(A,eta(C))),A),A)))
% ->
% quotient(eta(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% eta(C),A),A)))),
% quotient(i(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(eta(C),A),A)))))
% Current number of equations to process: 348
% Current number of ordered equations: 11
% Current number of rules: 906
% New rule produced :
% [1975]
% quotient(difference(A,quotient(difference(i(quotient(A,j(A))),B),quotient(A,
% j(A)))),
% quotient(t(A,quotient(eta(quotient(B,quotient(A,j(A)))),quotient(i(A),
% quotient(B,quotient(A,
% j(A)))))),
% quotient(B,quotient(A,j(A))))) ->
% t(quotient(t(A,quotient(eta(quotient(B,quotient(A,j(A)))),quotient(i(A),
% quotient(B,
% quotient(A,
% j(A)))))),quotient(B,
% quotient(A,
% j(A)))),
% quotient(B,quotient(A,j(A))))
% Current number of equations to process: 348
% Current number of ordered equations: 10
% Current number of rules: 907
% New rule produced :
% [1976]
% quotient(eta(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% quotient(i(difference(quotient(A,j(A)),quotient(A,quotient(t(A,quotient(A,
% quotient(
% eta(C),
% quotient(
% i(A),C)))),A)))),
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)))
% <->
% quotient(quotient(quotient(eta(quotient(eta(B),quotient(i(t(quotient(A,C),C)),B))),
% quotient(i(quotient(A,j(A))),quotient(eta(B),quotient(
% i(t(quotient(A,C),C)),B)))),A),A)
% Current number of equations to process: 348
% Current number of ordered equations: 9
% Current number of rules: 908
% New rule produced :
% [1977]
% quotient(quotient(quotient(eta(quotient(eta(B),quotient(i(t(quotient(A,C),C)),B))),
% quotient(i(quotient(A,j(A))),quotient(eta(B),quotient(
% i(t(quotient(A,C),C)),B)))),A),A)
% <->
% quotient(eta(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% quotient(i(difference(quotient(A,j(A)),quotient(A,quotient(t(A,quotient(A,
% quotient(
% eta(C),
% quotient(
% i(A),C)))),A)))),
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)))
% Current number of equations to process: 348
% Current number of ordered equations: 8
% Current number of rules: 909
% New rule produced :
% [1978]
% quotient(quotient(quotient(A,quotient(B,j(B))),quotient(t(B,quotient(
% eta(quotient(A,
% quotient(B,
% j(B)))),
% quotient(
% i(B),quotient(A,
% quotient(B,
% j(B)))))),
% quotient(A,quotient(B,j(B))))),
% quotient(quotient(A,quotient(B,j(B))),difference(B,quotient(difference(
% i(quotient(B,
% j(B))),A),
% quotient(B,j(B)))))) ->
% quotient(A,quotient(B,j(B)))
% Current number of equations to process: 348
% Current number of ordered equations: 7
% Current number of rules: 910
% New rule produced :
% [1979]
% difference(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A),
% quotient(quotient(quotient(eta(quotient(eta(quotient(B,j(B))),quotient(
% i(C),quotient(B,
% j(B))))),
% quotient(i(quotient(A,j(A))),quotient(eta(quotient(B,j(B))),
% quotient(i(C),quotient(B,j(B)))))),A),A))
% ->
% t(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A),
% quotient(quotient(quotient(eta(quotient(eta(C),quotient(i(B),C))),quotient(
% i(quotient(A,
% j(A))),
% quotient(
% eta(C),
% quotient(
% i(B),C)))),A),A))
% Current number of equations to process: 348
% Current number of ordered equations: 6
% Current number of rules: 911
% New rule produced :
% [1980]
% difference(quotient(A,t(A,quotient(A,quotient(eta(B),quotient(i(A),B))))),
% quotient(quotient(quotient(quotient(eta(difference(i(A),t(quotient(A,B),B))),
% quotient(i(quotient(eta(C),quotient(i(i(A)),C))),
% difference(i(A),t(quotient(A,B),B)))),i(A)),
% i(A)),A)) ->
% quotient(quotient(quotient(eta(C),quotient(i(quotient(A,t(A,quotient(A,
% quotient(
% eta(B),quotient(
% i(A),B)))))),C)),
% t(quotient(A,B),B)),A)
% Current number of equations to process: 348
% Current number of ordered equations: 5
% Current number of rules: 912
% New rule produced :
% [1981]
% difference(quotient(eta(t(t(t(quotient(B,C),C),quotient(B,C)),t(quotient(B,C),C))),
% quotient(i(A),t(t(t(quotient(B,C),C),quotient(B,C)),t(quotient(B,C),C)))),B)
% ->
% quotient(difference(A,quotient(difference(i(t(t(quotient(B,C),C),quotient(B,C))),B),
% t(t(quotient(B,C),C),quotient(B,C)))),t(t(t(quotient(B,C),C),
% quotient(B,C)),
% t(quotient(B,C),C)))
% Current number of equations to process: 348
% Current number of ordered equations: 4
% Current number of rules: 913
% New rule produced :
% [1982]
% quotient(i(i(i(A))),t(t(t(quotient(eta(A),j(eta(A))),j(A)),quotient(eta(A),
% j(eta(A)))),
% t(quotient(eta(A),j(eta(A))),j(A)))) ->
% t(t(t(t(quotient(eta(A),j(eta(A))),j(A)),quotient(eta(A),j(eta(A)))),
% t(quotient(eta(A),j(eta(A))),j(A))),t(t(quotient(eta(A),j(eta(A))),j(A)),
% quotient(eta(A),j(eta(A)))))
% Current number of equations to process: 348
% Current number of ordered equations: 3
% Current number of rules: 914
% New rule produced :
% [1983]
% t(quotient(A,j(A)),quotient(eta(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(B,A),A)))),
% quotient(i(quotient(quotient(quotient(eta(C),quotient(
% i(quotient(A,
% j(A))),C)),A),A)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A))))))
% <->
% quotient(quotient(A,quotient(quotient(quotient(difference(C,quotient(
% difference(
% i(B),A),B)),
% quotient(A,B)),A),A)),quotient(A,j(A)))
% Current number of equations to process: 348
% Current number of ordered equations: 2
% Current number of rules: 915
% New rule produced :
% [1984]
% quotient(quotient(A,quotient(quotient(quotient(difference(C,quotient(
% difference(
% i(B),A),B)),
% quotient(A,B)),A),A)),quotient(A,j(A)))
% <->
% t(quotient(A,j(A)),quotient(eta(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(B,A),A)))),
% quotient(i(quotient(quotient(quotient(eta(C),quotient(
% i(quotient(A,
% j(A))),C)),A),A)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A))))))
% Current number of equations to process: 348
% Current number of ordered equations: 1
% Current number of rules: 916
% New rule produced :
% [1985]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(B,
% quotient(
% difference(
% i(difference(C,A)),A),
% difference(C,A))),C),A),A)))
% ->
% quotient(eta(quotient(quotient(quotient(eta(C),quotient(i(quotient(A,j(A))),C)),A),A)),
% quotient(i(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% quotient(quotient(quotient(eta(C),quotient(i(quotient(A,j(A))),C)),A),A)))
% Rule
% [849]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(
% t(quotient(B,C),C),
% quotient(
% difference(
% i(difference(B,A)),A),
% difference(B,A))),B),A),A)))
% ->
% quotient(quotient(quotient(eta(quotient(B,t(B,quotient(B,quotient(eta(C),
% quotient(i(B),C)))))),
% quotient(i(quotient(A,j(A))),quotient(B,t(B,quotient(B,
% quotient(
% eta(C),
% quotient(
% i(B),C))))))),A),A)
% collapsed.
% Rule
% [852]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(
% quotient(B,C),
% quotient(
% difference(
% i(difference(B,A)),A),
% difference(B,A))),B),A),A)))
% ->
% quotient(quotient(quotient(eta(quotient(B,quotient(C,B))),quotient(i(
% quotient(A,
% j(A))),
% quotient(B,
% quotient(C,B)))),A),A)
% collapsed.
% Rule
% [885]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(
% i(B),
% quotient(
% difference(
% i(difference(
% j(B),A)),A),
% difference(
% j(B),A))),
% j(B)),A),A))) ->
% quotient(quotient(quotient(eta(i(quotient(B,j(B)))),quotient(i(quotient(A,
% j(A))),
% i(quotient(B,j(B))))),A),A)
% collapsed.
% Rule
% [981]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(
% difference(C,B),
% quotient(
% difference(
% i(difference(C,A)),A),
% difference(C,A))),C),A),A)))
% -> quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)
% collapsed.
% Current number of equations to process: 352
% Current number of ordered equations: 0
% Current number of rules: 913
% New rule produced :
% [1986]
% quotient(eta(quotient(quotient(quotient(eta(C),quotient(i(quotient(A,j(A))),C)),A),A)),
% quotient(i(quotient(quotient(quotient(eta(difference(C,B)),quotient(i(
% quotient(A,
% j(A))),
% difference(C,B))),A),A)),
% quotient(quotient(quotient(eta(C),quotient(i(quotient(A,j(A))),C)),A),A))) ->
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)
% Current number of equations to process: 351
% Current number of ordered equations: 0
% Current number of rules: 914
% New rule produced :
% [1987]
% quotient(quotient(quotient(eta(difference(A,quotient(quotient(A,j(A)),
% j(quotient(A,j(A)))))),quotient(
% i(
% quotient(
% eta(
% quotient(B,
% quotient(A,
% j(A)))),
% quotient(
% i(A),
% quotient(B,
% quotient(A,
% j(A)))))),
% difference(A,
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),A),
% t(quotient(A,j(A)),B)) ->
% quotient(t(A,quotient(eta(t(quotient(A,j(A)),B)),quotient(i(A),t(quotient(A,
% j(A)),B)))),
% t(quotient(A,j(A)),B))
% Current number of equations to process: 349
% Current number of ordered equations: 0
% Current number of rules: 915
% New rule produced :
% [1988]
% quotient(difference(i(difference(A,B)),quotient(eta(A),i(difference(A,B)))),
% t(t(difference(A,quotient(eta(B),quotient(j(eta(A)),B))),difference(A,B)),
% difference(A,quotient(eta(B),quotient(j(eta(A)),B))))) ->
% t(t(t(difference(A,quotient(eta(B),quotient(j(eta(A)),B))),difference(A,B)),
% difference(A,quotient(eta(B),quotient(j(eta(A)),B)))),t(difference(A,
% quotient(eta(B),
% quotient(j(eta(A)),B))),
% difference(A,B)))
% Current number of equations to process: 348
% Current number of ordered equations: 0
% Current number of rules: 916
% New rule produced :
% [1989]
% quotient(quotient(B,eta(A)),t(eta(A),t(t(t(quotient(quotient(j(quotient(
% i(quotient(
% eta(B),
% quotient(
% j(A),B))),
% j(eta(A)))),
% j(j(A))),C),C),quotient(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(B),
% quotient(
% j(A),B))),
% j(
% eta(A)))),
% j(
% j(A))),C)),
% t(quotient(quotient(j(quotient(i(
% quotient(
% eta(B),
% quotient(
% j(A),B))),
% j(eta(A)))),
% j(j(A))),C),C)))) ->
% t(eta(A),t(t(t(t(quotient(quotient(j(quotient(i(quotient(eta(B),quotient(
% j(A),B))),
% j(eta(A)))),j(j(A))),C),C),quotient(
% quotient(
% j(quotient(
% i(quotient(
% eta(B),
% quotient(
% j(A),B))),
% j(eta(A)))),
% j(j(A))),C)),
% t(quotient(quotient(j(quotient(i(quotient(eta(B),quotient(j(A),B))),
% j(eta(A)))),j(j(A))),C),C)),t(t(quotient(
% quotient(
% j(quotient(
% i(
% quotient(
% eta(B),
% quotient(
% j(A),B))),
% j(
% eta(A)))),
% j(j(A))),C),C),
% quotient(
% quotient(
% j(quotient(
% i(quotient(
% eta(B),
% quotient(
% j(A),B))),
% j(eta(A)))),
% j(j(A))),C))))
% Current number of equations to process: 347
% Current number of ordered equations: 0
% Current number of rules: 917
% New rule produced :
% [1990]
% quotient(difference(i(A),quotient(difference(i(t(A,i(quotient(A,j(A))))),B),
% t(A,i(quotient(A,j(A)))))),quotient(B,t(A,i(
% quotient(A,
% j(A))))))
% ->
% quotient(quotient(quotient(eta(A),quotient(i(quotient(eta(quotient(B,
% t(A,i(quotient(A,
% j(A)))))),
% quotient(i(i(A)),quotient(B,
% t(A,i(quotient(A,
% j(A)))))))),
% i(A))),i(A)),quotient(B,t(A,i(quotient(A,
% j(A))))))
% Current number of equations to process: 346
% Current number of ordered equations: 0
% Current number of rules: 918
% New rule produced :
% [1991]
% quotient(eta(difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A)))),
% quotient(i(quotient(quotient(quotient(eta(quotient(difference(i(B),A),B)),
% quotient(i(quotient(A,j(A))),quotient(difference(
% i(B),A),B))),A),A)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A))))) <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(j(quotient(A,B)),A),A)))
% Current number of equations to process: 345
% Current number of ordered equations: 1
% Current number of rules: 919
% New rule produced :
% [1992]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(j(quotient(A,B)),A),A)))
% <->
% quotient(eta(difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A)))),
% quotient(i(quotient(quotient(quotient(eta(quotient(difference(i(B),A),B)),
% quotient(i(quotient(A,j(A))),quotient(difference(
% i(B),A),B))),A),A)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A)))))
% Current number of equations to process: 345
% Current number of ordered equations: 0
% Current number of rules: 920
% New rule produced :
% [1993]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% quotient(
% i(B),i(
% i(
% i(
% i(i(A)))))),
% eta(A)),
% eta(A)))) ->
% quotient(eta(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% quotient(
% i(
% i(
% i(i(A)))),
% eta(A)),
% eta(A))))),
% quotient(i(B),difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% quotient(
% i(
% i(
% i(i(A)))),
% eta(A)),
% eta(A))))))
% Current number of equations to process: 344
% Current number of ordered equations: 0
% Current number of rules: 921
% New rule produced :
% [1994]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(C,
% quotient(
% difference(
% i(quotient(A,B)),A),
% quotient(A,B))),
% t(quotient(A,B),B)),A),A)))
% ->
% quotient(eta(difference(quotient(A,j(A)),quotient(A,quotient(t(A,quotient(A,
% quotient(
% eta(B),
% quotient(
% i(A),B)))),A)))),
% quotient(i(quotient(quotient(quotient(eta(C),quotient(i(quotient(A,j(A))),C)),A),A)),
% difference(quotient(A,j(A)),quotient(A,quotient(t(A,quotient(A,quotient(
% eta(B),
% quotient(
% i(A),B)))),A)))))
% Current number of equations to process: 343
% Current number of ordered equations: 0
% Current number of rules: 922
% New rule produced :
% [1995]
% quotient(eta(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),
% j(j(B)))),A),A)),quotient(
% i(quotient(
% quotient(
% quotient(
% eta(B),
% quotient(
% i(quotient(A,
% j(A))),B)),A),A)),
% quotient(
% quotient(
% quotient(
% eta(B),
% quotient(
% i(quotient(A,
% j(A))),
% j(j(B)))),A),A)))
% <->
% quotient(quotient(quotient(eta(quotient(j(B),j(j(B)))),quotient(i(quotient(A,
% j(A))),
% i(quotient(j(B),
% j(j(B)))))),A),A)
% Current number of equations to process: 342
% Current number of ordered equations: 1
% Current number of rules: 923
% New rule produced :
% [1996]
% quotient(quotient(quotient(eta(quotient(j(B),j(j(B)))),quotient(i(quotient(A,
% j(A))),
% i(quotient(j(B),
% j(j(B)))))),A),A)
% <->
% quotient(eta(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),
% j(j(B)))),A),A)),quotient(
% i(quotient(
% quotient(
% quotient(
% eta(B),
% quotient(
% i(quotient(A,
% j(A))),B)),A),A)),
% quotient(
% quotient(
% quotient(
% eta(B),
% quotient(
% i(quotient(A,
% j(A))),
% j(j(B)))),A),A)))
% Current number of equations to process: 342
% Current number of ordered equations: 0
% Current number of rules: 924
% New rule produced :
% [1997]
% quotient(eta(A),i(quotient(quotient(difference(i(t(t(quotient(B,C),C),
% quotient(B,C))),quotient(
% j(quotient(
% i(B),
% eta(
% quotient(
% eta(A),
% i(
% t(
% t(
% quotient(B,C),C),
% quotient(B,C))))))),
% quotient(
% t(quotient(B,C),C),B))),
% t(t(quotient(B,C),C),quotient(B,C))),B))) ->
% j(j(quotient(eta(A),i(t(t(quotient(B,C),C),quotient(B,C))))))
% Current number of equations to process: 342
% Current number of ordered equations: 0
% Current number of rules: 925
% New rule produced :
% [1998]
% quotient(difference(i(quotient(A,i(i(B)))),quotient(eta(B),i(quotient(A,
% i(i(B)))))),
% t(t(t(quotient(A,B),quotient(A,i(i(B)))),quotient(A,B)),t(quotient(A,B),
% quotient(A,i(i(B))))))
% ->
% t(t(t(t(quotient(A,B),quotient(A,i(i(B)))),quotient(A,B)),t(quotient(A,B),
% quotient(A,
% i(i(B))))),
% t(t(quotient(A,B),quotient(A,i(i(B)))),quotient(A,B)))
% Current number of equations to process: 341
% Current number of ordered equations: 0
% Current number of rules: 926
% New rule produced :
% [1999]
% difference(i(t(i(i(A)),i(t(i(A),i(t(A,i(quotient(A,j(A))))))))),quotient(
% i(i(A)),
% quotient(
% quotient(
% difference(B,
% quotient(
% difference(
% j(eta(A)),
% i(i(A))),
% eta(A))),
% i(i(i(i(A))))),
% i(i(A))))) ->
% quotient(quotient(quotient(eta(B),quotient(i(i(t(i(i(A)),i(t(i(A),i(t(A,
% i(
% quotient(A,
% j(A)))))))))),B)),
% i(i(i(i(A))))),i(i(A)))
% Current number of equations to process: 340
% Current number of ordered equations: 0
% Current number of rules: 927
% New rule produced :
% [2000]
% difference(quotient(quotient(A,quotient(B,A)),quotient(quotient(A,B),
% quotient(A,quotient(B,A)))),
% quotient(quotient(A,quotient(B,A)),quotient(quotient(difference(C,quotient(
% difference(
% i(quotient(A,B)),
% quotient(A,
% quotient(B,A))),
% quotient(A,B))),A),
% quotient(A,quotient(B,A))))) ->
% quotient(quotient(quotient(eta(C),quotient(i(quotient(quotient(A,quotient(B,A)),
% quotient(quotient(A,B),quotient(A,
% quotient(B,A))))),C)),A),
% quotient(A,quotient(B,A)))
% Current number of equations to process: 339
% Current number of ordered equations: 0
% Current number of rules: 928
% New rule produced :
% [2001]
% quotient(quotient(A,quotient(quotient(difference(quotient(eta(B),quotient(
% i(C),B)),A),A),A)),
% quotient(A,j(A))) ->
% t(quotient(A,j(A)),quotient(eta(quotient(quotient(quotient(eta(B),quotient(
% i(quotient(A,
% j(A))),B)),A),A)),
% quotient(i(quotient(quotient(quotient(eta(C),quotient(
% i(quotient(A,
% j(A))),C)),A),A)),
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,
% j(A))),B)),A),A))))
% Current number of equations to process: 338
% Current number of ordered equations: 0
% Current number of rules: 929
% New rule produced :
% [2002]
% quotient(eta(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% quotient(i(quotient(quotient(quotient(eta(quotient(B,C)),quotient(i(quotient(A,
% j(A))),
% quotient(B,C))),A),A)),
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A))) ->
% quotient(quotient(quotient(eta(quotient(B,quotient(C,B))),quotient(i(
% quotient(A,
% j(A))),
% quotient(B,
% quotient(C,B)))),A),A)
% Current number of equations to process: 337
% Current number of ordered equations: 0
% Current number of rules: 930
% New rule produced :
% [2003]
% difference(t(quotient(t(A,quotient(eta(quotient(B,quotient(A,j(A)))),
% quotient(i(A),quotient(B,quotient(A,j(A)))))),
% quotient(B,quotient(A,j(A)))),quotient(B,quotient(A,j(A)))),
% difference(A,quotient(difference(i(quotient(A,j(A))),B),quotient(A,j(A)))))
% ->
% quotient(t(A,quotient(eta(quotient(B,quotient(A,j(A)))),quotient(i(A),
% quotient(B,quotient(A,
% j(A)))))),
% quotient(B,quotient(A,j(A))))
% Current number of equations to process: 336
% Current number of ordered equations: 0
% Current number of rules: 931
% New rule produced :
% [2004]
% quotient(quotient(eta(quotient(quotient(quotient(eta(difference(C,A)),
% quotient(i(quotient(eta(B),quotient(
% i(C),B))),
% difference(C,A))),C),quotient(
% eta(A),quotient(
% i(B),A)))),
% quotient(i(quotient(eta(quotient(eta(C),quotient(i(V_3),C))),
% quotient(i(quotient(eta(quotient(eta(A),quotient(i(B),A))),
% quotient(i(C),quotient(eta(A),quotient(i(B),A))))),
% quotient(eta(C),quotient(i(V_3),C))))),quotient(quotient(
% quotient(
% eta(
% difference(C,A)),
% quotient(
% i(
% quotient(
% eta(B),
% quotient(
% i(C),B))),
% difference(C,A))),C),
% quotient(eta(A),
% quotient(i(B),A))))),
% quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(i(C),quotient(
% eta(A),
% quotient(
% i(B),A))))) ->
% quotient(quotient(quotient(eta(V_3),quotient(i(quotient(eta(quotient(
% eta(A),quotient(
% i(B),A))),
% quotient(i(C),quotient(
% eta(A),quotient(
% i(B),A))))),V_3)),C),
% quotient(eta(A),quotient(i(B),A)))
% Current number of equations to process: 335
% Current number of ordered equations: 0
% Current number of rules: 932
% New rule produced :
% [2005]
% difference(quotient(quotient(quotient(eta(quotient(eta(B),quotient(i(C),B))),
% quotient(i(quotient(A,j(A))),quotient(eta(B),
% quotient(i(C),B)))),A),A),
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)) ->
% quotient(difference(quotient(quotient(quotient(eta(C),quotient(i(quotient(A,
% j(A))),C)),A),A),
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A))
% Current number of equations to process: 334
% Current number of ordered equations: 0
% Current number of rules: 933
% New rule produced :
% [2006]
% difference(A,quotient(quotient(eta(A),quotient(i(B),A)),t(quotient(eta(A),
% quotient(i(B),A)),
% quotient(difference(B,A),A))))
% <->
% quotient(quotient(difference(i(B),quotient(quotient(eta(A),quotient(i(B),A)),
% quotient(quotient(quotient(eta(difference(B,A)),
% quotient(i(quotient(B,
% j(B))),
% difference(B,A))),B),
% quotient(eta(A),quotient(i(B),A))))),B),A)
% Current number of equations to process: 333
% Current number of ordered equations: 1
% Current number of rules: 934
% New rule produced :
% [2007]
% quotient(quotient(difference(i(B),quotient(quotient(eta(A),quotient(i(B),A)),
% quotient(quotient(quotient(eta(difference(B,A)),
% quotient(i(quotient(B,
% j(B))),
% difference(B,A))),B),
% quotient(eta(A),quotient(i(B),A))))),B),A)
% <->
% difference(A,quotient(quotient(eta(A),quotient(i(B),A)),t(quotient(eta(A),
% quotient(i(B),A)),
% quotient(difference(B,A),A))))
% Current number of equations to process: 333
% Current number of ordered equations: 0
% Current number of rules: 935
% New rule produced :
% [2008]
% difference(quotient(quotient(A,j(A)),quotient(A,quotient(eta(A),i(quotient(A,
% j(A)))))),
% quotient(quotient(A,j(A)),quotient(quotient(difference(B,i(quotient(j(A),
% j(j(A))))),
% i(i(A))),quotient(eta(A),i(quotient(A,
% j(A))))))) ->
% quotient(quotient(quotient(eta(B),quotient(i(quotient(eta(A),i(quotient(
% quotient(A,
% j(A)),
% quotient(A,
% quotient(
% eta(A),
% i(quotient(A,
% j(A))))))))),B)),
% i(i(A))),quotient(eta(A),i(quotient(A,j(A)))))
% Current number of equations to process: 332
% Current number of ordered equations: 0
% Current number of rules: 936
% New rule produced :
% [2009]
% difference(t(B,C),quotient(quotient(eta(t(B,C)),quotient(i(A),t(B,C))),
% quotient(quotient(quotient(quotient(eta(difference(B,A)),
% quotient(i(quotient(eta(B),
% quotient(i(C),B))),
% difference(B,A))),B),t(B,C)),
% quotient(eta(t(B,C)),quotient(i(A),t(B,C)))))) ->
% quotient(quotient(eta(A),quotient(i(quotient(quotient(eta(B),quotient(i(C),B)),
% t(quotient(eta(B),quotient(i(C),B)),
% quotient(difference(C,B),B)))),A)),
% t(B,C))
% Current number of equations to process: 330
% Current number of ordered equations: 0
% Current number of rules: 937
% New rule produced :
% [2010]
% difference(quotient(j(A),j(j(A))),quotient(j(A),quotient(quotient(quotient(
% difference(B,
% quotient(
% difference(
% i(i(A)),
% j(A)),
% i(A))),
% t(i(A),
% eta(A))),
% j(A)),j(A)))) ->
% quotient(eta(difference(quotient(j(A),j(j(A))),i(quotient(A,j(A))))),
% quotient(i(quotient(quotient(quotient(eta(B),quotient(i(quotient(j(A),
% j(j(A)))),B)),
% j(A)),j(A))),difference(quotient(j(A),j(j(A))),i(
% quotient(A,
% j(A))))))
% Current number of equations to process: 329
% Current number of ordered equations: 0
% Current number of rules: 938
% New rule produced :
% [2011]
% quotient(eta(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),
% j(B))),A),A)),quotient(
% i(quotient(
% quotient(
% quotient(
% eta(B),
% quotient(
% i(quotient(A,
% j(A))),
% i(B))),A),A)),
% quotient(
% quotient(
% quotient(
% eta(B),quotient(
% i(
% quotient(A,
% j(A))),
% j(B))),A),A)))
% ->
% quotient(quotient(quotient(eta(quotient(B,j(B))),quotient(i(quotient(A,j(A))),
% i(quotient(B,j(B))))),A),A)
% Current number of equations to process: 328
% Current number of ordered equations: 0
% Current number of rules: 939
% New rule produced :
% [2012]
% t(eta(A),difference(B,quotient(j(quotient(i(quotient(eta(quotient(eta(C),
% i(quotient(eta(V_3),
% quotient(j(eta(A)),V_3))))),
% quotient(j(A),quotient(eta(C),
% i(quotient(
% eta(V_3),
% quotient(
% j(eta(A)),V_3))))))),
% j(eta(A)))),j(j(A))))) ->
% t(eta(A),difference(B,quotient(j(quotient(i(quotient(eta(quotient(eta(C),
% i(quotient(V_3,
% j(eta(A)))))),
% quotient(j(A),quotient(eta(C),
% i(quotient(V_3,
% j(eta(A)))))))),
% j(eta(A)))),j(j(A)))))
% Current number of equations to process: 327
% Current number of ordered equations: 0
% Current number of rules: 940
% New rule produced :
% [2013]
% quotient(quotient(A,quotient(quotient(quotient(difference(B,quotient(
% difference(
% i(C),A),C)),
% quotient(A,C)),A),A)),quotient(
% eta(difference(
% quotient(A,
% j(A)),
% quotient(A,
% quotient(
% quotient(C,A),A)))),
% quotient(
% i(quotient(
% quotient(
% quotient(
% eta(B),
% quotient(
% i(quotient(A,
% j(A))),B)),A),A)),
% difference(
% quotient(A,
% j(A)),quotient(A,
% quotient(
% quotient(C,A),A))))))
% -> quotient(A,j(A))
% Current number of equations to process: 326
% Current number of ordered equations: 0
% Current number of rules: 941
% New rule produced :
% [2014]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% quotient(
% difference(B,
% t(eta(A),
% quotient(
% difference(
% i(C),eta(A)),C))),
% t(eta(A),
% quotient(
% eta(A),C))),
% eta(A)),
% eta(A)))) ->
% quotient(eta(difference(quotient(eta(A),j(eta(A))),t(eta(A),quotient(
% eta(A),quotient(
% quotient(C,
% eta(A)),
% eta(A)))))),
% quotient(i(B),difference(quotient(eta(A),j(eta(A))),t(eta(A),quotient(
% eta(A),quotient(
% quotient(C,
% eta(A)),
% eta(A)))))))
% Current number of equations to process: 325
% Current number of ordered equations: 0
% Current number of rules: 942
% New rule produced :
% [2015]
% quotient(quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(C),B))),A)),
% quotient(C,quotient(eta(A),quotient(i(quotient(eta(B),quotient(
% i(C),B))),A)))),
% difference(C,quotient(quotient(eta(C),quotient(i(A),C)),quotient(quotient(
% quotient(
% eta(
% difference(B,C)),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),
% difference(B,C))),B),
% quotient(eta(C),
% quotient(i(A),C))))))
% -> quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(C),B))),A))
% Current number of equations to process: 324
% Current number of ordered equations: 0
% Current number of rules: 943
% New rule produced :
% [2016]
% difference(t(A,quotient(A,quotient(eta(B),quotient(i(A),B)))),quotient(
% quotient(A,B),
% quotient(
% quotient(
% difference(C,
% quotient(
% difference(
% i(quotient(A,
% quotient(B,A))),
% quotient(A,B)),
% quotient(A,
% quotient(B,A)))),
% quotient(
% quotient(A,B),
% quotient(A,
% quotient(B,A)))),
% quotient(A,B))))
% ->
% quotient(quotient(quotient(eta(C),quotient(i(t(A,quotient(A,quotient(
% eta(B),quotient(
% i(A),B))))),C)),
% quotient(quotient(A,B),quotient(A,quotient(B,A)))),quotient(A,B))
% Current number of equations to process: 323
% Current number of ordered equations: 0
% Current number of rules: 944
% New rule produced :
% [2017]
% quotient(i(i(A)),t(t(quotient(eta(A),i(quotient(eta(A),quotient(i(B),A)))),
% quotient(difference(B,A),A)),quotient(eta(A),i(quotient(
% eta(A),
% quotient(
% i(B),A))))))
% ->
% t(t(t(quotient(eta(A),i(quotient(eta(A),quotient(i(B),A)))),quotient(
% difference(B,A),A)),
% quotient(eta(A),i(quotient(eta(A),quotient(i(B),A))))),t(quotient(eta(A),
% i(quotient(
% eta(A),quotient(
% i(B),A)))),
% quotient(difference(B,A),A)))
% Current number of equations to process: 322
% Current number of ordered equations: 0
% Current number of rules: 945
% New rule produced :
% [2018]
% quotient(difference(quotient(eta(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(B,A),A)))),
% quotient(i(quotient(quotient(quotient(eta(C),quotient(
% i(quotient(A,
% j(A))),C)),A),A)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A))))),
% quotient(A,j(A))),quotient(A,j(A))) <->
% difference(quotient(A,quotient(quotient(quotient(difference(C,quotient(
% difference(
% i(B),A),B)),
% quotient(A,B)),A),A)),quotient(A,
% j(A)))
% Current number of equations to process: 321
% Current number of ordered equations: 1
% Current number of rules: 946
% New rule produced :
% [2019]
% difference(quotient(A,quotient(quotient(quotient(difference(C,quotient(
% difference(
% i(B),A),B)),
% quotient(A,B)),A),A)),quotient(A,
% j(A))) <->
% quotient(difference(quotient(eta(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(B,A),A)))),
% quotient(i(quotient(quotient(quotient(eta(C),quotient(
% i(quotient(A,
% j(A))),C)),A),A)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A))))),
% quotient(A,j(A))),quotient(A,j(A)))
% Current number of equations to process: 321
% Current number of ordered equations: 0
% Current number of rules: 947
% New rule produced :
% [2020]
% quotient(quotient(eta(difference(B,quotient(quotient(quotient(difference(
% i(B),A),
% i(B)),i(B)),B))),
% quotient(i(quotient(eta(A),quotient(i(B),A))),difference(B,quotient(
% quotient(
% quotient(
% difference(
% i(B),A),
% i(B)),
% i(B)),B)))),B)
% ->
% quotient(quotient(quotient(eta(A),quotient(i(B),A)),j(quotient(eta(A),
% quotient(i(B),A)))),B)
% Current number of equations to process: 320
% Current number of ordered equations: 0
% Current number of rules: 948
% New rule produced :
% [2021]
% quotient(quotient(A,quotient(quotient(difference(quotient(eta(B),quotient(
% i(C),B)),A),A),A)),
% quotient(eta(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% quotient(i(quotient(quotient(quotient(eta(C),quotient(i(quotient(A,j(A))),C)),A),A)),
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A))))
% -> quotient(A,j(A))
% Current number of equations to process: 319
% Current number of ordered equations: 0
% Current number of rules: 949
% New rule produced :
% [2022]
% quotient(eta(difference(quotient(A,j(A)),quotient(A,quotient(quotient(C,A),A)))),
% quotient(i(quotient(quotient(quotient(eta(quotient(quotient(difference(
% i(C),A),C),B)),
% quotient(i(quotient(A,j(A))),quotient(quotient(
% difference(
% i(C),A),C),B))),A),A)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(C,A),A))))) <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(B,quotient(A,C)),A),A)))
% Current number of equations to process: 318
% Current number of ordered equations: 1
% Current number of rules: 950
% New rule produced :
% [2023]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(B,quotient(A,C)),A),A)))
% <->
% quotient(eta(difference(quotient(A,j(A)),quotient(A,quotient(quotient(C,A),A)))),
% quotient(i(quotient(quotient(quotient(eta(quotient(quotient(difference(
% i(C),A),C),B)),
% quotient(i(quotient(A,j(A))),quotient(quotient(
% difference(
% i(C),A),C),B))),A),A)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(C,A),A)))))
% Rule
% [802]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(C,
% quotient(
% difference(
% i(B),A),B)),
% quotient(A,B)),A),A)))
% ->
% quotient(eta(difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A)))),
% quotient(i(quotient(quotient(quotient(eta(C),quotient(i(quotient(A,j(A))),C)),A),A)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A)))))
% collapsed.
% Rule
% [1739]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(quotient(
% difference(
% i(B),A),B),
% quotient(A,B)),A),A)))
% -> difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A)))
% collapsed.
% Current number of equations to process: 318
% Current number of ordered equations: 0
% Current number of rules: 949
% New rule produced : [2024] quotient(eta(A),j(j(j(A)))) -> j(j(A))
% Rule [1600] difference(A,quotient(eta(A),j(j(j(A))))) -> eta(A) collapsed.
% Rule [1602] quotient(quotient(eta(A),j(j(j(A)))),j(j(A))) -> one collapsed.
% Rule
% [1813]
% quotient(eta(A),quotient(i(quotient(eta(B),j(j(j(B))))),A)) ->
% quotient(eta(A),quotient(j(B),A)) collapsed.
% Current number of equations to process: 318
% Current number of ordered equations: 0
% Current number of rules: 947
% New rule produced : [2025] quotient(j(j(j(j(A)))),eta(A)) -> j(j(A))
% Current number of equations to process: 319
% Current number of ordered equations: 0
% Current number of rules: 948
% New rule produced :
% [2026] quotient(j(j(j(A))),j(eta(A))) -> t(j(eta(A)),j(A))
% Rule
% [1607]
% quotient(j(quotient(j(j(j(A))),j(eta(A)))),j(j(A))) ->
% i(quotient(eta(A),j(eta(A)))) collapsed.
% Current number of equations to process: 321
% Current number of ordered equations: 0
% Current number of rules: 948
% New rule produced :
% [2027] difference(t(j(eta(A)),j(A)),j(j(j(A)))) -> j(eta(A))
% Current number of equations to process: 320
% Current number of ordered equations: 0
% Current number of rules: 949
% New rule produced :
% [2028]
% quotient(j(t(j(eta(A)),j(A))),j(j(A))) -> i(quotient(eta(A),j(eta(A))))
% Current number of equations to process: 320
% Current number of ordered equations: 0
% Current number of rules: 950
% New rule produced :
% [2029]
% quotient(t(eta(A),B),j(A)) ->
% t(eta(A),quotient(B,quotient(j(eta(A)),j(j(A)))))
% Current number of equations to process: 320
% Current number of ordered equations: 0
% Current number of rules: 951
% New rule produced :
% [2030]
% quotient(j(j(j(A))),t(j(eta(A)),j(A))) -> t(t(j(eta(A)),j(A)),j(eta(A)))
% Current number of equations to process: 319
% Current number of ordered equations: 0
% Current number of rules: 952
% New rule produced :
% [2031]
% difference(t(t(j(eta(A)),j(A)),j(eta(A))),j(j(j(A)))) -> t(j(eta(A)),j(A))
% Current number of equations to process: 318
% Current number of ordered equations: 0
% Current number of rules: 953
% New rule produced :
% [2032]
% quotient(j(j(j(A))),t(t(j(eta(A)),j(A)),j(eta(A)))) ->
% t(t(t(j(eta(A)),j(A)),j(eta(A))),t(j(eta(A)),j(A)))
% Current number of equations to process: 318
% Current number of ordered equations: 0
% Current number of rules: 954
% New rule produced : [2033] j(j(t(eta(A),eta(B)))) -> t(eta(A),eta(B))
% Current number of equations to process: 318
% Current number of ordered equations: 0
% Current number of rules: 955
% New rule produced :
% [2034] difference(j(eta(A)),eta(quotient(eta(A),j(eta(A))))) -> eta(A)
% Current number of equations to process: 323
% Current number of ordered equations: 0
% Current number of rules: 956
% New rule produced :
% [2035] quotient(eta(quotient(eta(A),j(eta(A)))),j(eta(A))) -> eta(A)
% Current number of equations to process: 322
% Current number of ordered equations: 0
% Current number of rules: 957
% New rule produced :
% [2036]
% quotient(quotient(eta(A),j(eta(A))),quotient(eta(A),eta(quotient(eta(A),
% j(eta(A)))))) ->
% eta(A)
% Current number of equations to process: 322
% Current number of ordered equations: 0
% Current number of rules: 958
% New rule produced :
% [2037]
% quotient(eta(quotient(eta(quotient(eta(A),j(eta(A)))),quotient(j(eta(A)),
% quotient(eta(A),
% j(eta(A)))))),eta(A))
% -> j(eta(A))
% Current number of equations to process: 321
% Current number of ordered equations: 0
% Current number of rules: 959
% New rule produced :
% [2038]
% quotient(quotient(eta(quotient(eta(A),j(eta(A)))),quotient(eta(A),eta(
% quotient(
% eta(A),
% j(eta(A)))))),
% j(eta(A))) -> eta(quotient(eta(A),j(eta(A))))
% Current number of equations to process: 320
% Current number of ordered equations: 0
% Current number of rules: 960
% New rule produced :
% [2039]
% difference(quotient(eta(B),quotient(i(A),i(i(B)))),B) ->
% quotient(difference(A,quotient(difference(j(eta(B)),B),eta(B))),i(i(B)))
% Current number of equations to process: 321
% Current number of ordered equations: 0
% Current number of rules: 961
% New rule produced :
% [2040]
% quotient(difference(t(A,i(quotient(A,j(A)))),i(i(A))),i(t(A,i(quotient(A,
% j(A)))))) -> A
% Current number of equations to process: 320
% Current number of ordered equations: 0
% Current number of rules: 962
% New rule produced :
% [2041]
% difference(quotient(eta(A),quotient(i(i(i(quotient(difference(i(difference(A,B)),B),
% difference(A,B))))),A)),B) ->
% quotient(eta(quotient(difference(i(difference(A,B)),B),difference(A,B))),A)
% Current number of equations to process: 319
% Current number of ordered equations: 0
% Current number of rules: 963
% New rule produced :
% [2042] quotient(t(eta(A),B),i(i(A))) -> t(eta(A),quotient(B,j(j(A))))
% Current number of equations to process: 320
% Current number of ordered equations: 0
% Current number of rules: 964
% New rule produced :
% [2043] difference(t(t(i(i(A)),eta(A)),i(i(A))),A) -> t(i(i(A)),eta(A))
% Current number of equations to process: 321
% Current number of ordered equations: 0
% Current number of rules: 965
% New rule produced :
% [2044]
% quotient(A,t(t(i(i(A)),eta(A)),i(i(A)))) ->
% t(t(t(i(i(A)),eta(A)),i(i(A))),t(i(i(A)),eta(A)))
% Current number of equations to process: 321
% Current number of ordered equations: 0
% Current number of rules: 966
% New rule produced :
% [2045]
% difference(t(t(t(i(i(A)),eta(A)),i(i(A))),t(i(i(A)),eta(A))),A) ->
% t(t(i(i(A)),eta(A)),i(i(A)))
% Current number of equations to process: 320
% Current number of ordered equations: 0
% Current number of rules: 967
% New rule produced :
% [2046]
% quotient(difference(i(A),t(i(A),eta(A))),t(i(A),eta(A))) ->
% difference(j(A),t(i(A),eta(A)))
% Current number of equations to process: 322
% Current number of ordered equations: 0
% Current number of rules: 968
% New rule produced :
% [2047]
% difference(quotient(eta(t(i(B),eta(B))),quotient(i(A),t(i(B),eta(B)))),j(B))
% ->
% quotient(difference(A,quotient(difference(i(i(B)),j(B)),i(B))),t(i(B),eta(B)))
% Current number of equations to process: 321
% Current number of ordered equations: 0
% Current number of rules: 969
% New rule produced :
% [2048]
% difference(t(i(A),eta(A)),quotient(eta(A),quotient(j(eta(t(i(A),eta(A)))),
% j(A)))) ->
% quotient(difference(i(i(A)),j(quotient(i(i(A)),eta(t(i(A),eta(A)))))),i(A))
% Current number of equations to process: 320
% Current number of ordered equations: 0
% Current number of rules: 970
% New rule produced :
% [2049]
% quotient(quotient(t(i(A),eta(A)),t(t(i(A),eta(A)),i(A))),quotient(t(i(A),
% eta(A)),
% j(A))) ->
% t(i(A),eta(A))
% Current number of equations to process: 323
% Current number of ordered equations: 0
% Current number of rules: 971
% New rule produced : [2050] difference(t(A,i(quotient(A,j(A)))),i(A)) -> A
% Current number of equations to process: 329
% Current number of ordered equations: 0
% Current number of rules: 972
% New rule produced :
% [2051] t(j(A),i(quotient(j(A),j(j(A))))) -> quotient(A,j(A))
% Current number of equations to process: 329
% Current number of ordered equations: 0
% Current number of rules: 973
% New rule produced :
% [2052]
% quotient(i(A),t(A,i(quotient(A,j(A))))) -> t(t(A,i(quotient(A,j(A)))),A)
% Current number of equations to process: 329
% Current number of ordered equations: 0
% Current number of rules: 974
% New rule produced :
% [2053]
% difference(t(t(A,i(quotient(A,j(A)))),A),i(A)) -> t(A,i(quotient(A,j(A))))
% Current number of equations to process: 329
% Current number of ordered equations: 0
% Current number of rules: 975
% New rule produced :
% [2054]
% quotient(quotient(A,t(A,i(quotient(A,j(A))))),i(t(A,i(quotient(A,j(A)))))) ->
% A
% Current number of equations to process: 328
% Current number of ordered equations: 0
% Current number of rules: 976
% New rule produced :
% [2055]
% quotient(quotient(i(A),i(t(A,i(quotient(A,j(A)))))),t(A,i(quotient(A,j(A)))))
% -> i(A)
% Current number of equations to process: 327
% Current number of ordered equations: 0
% Current number of rules: 977
% New rule produced :
% [2056]
% quotient(i(A),t(t(A,i(quotient(A,j(A)))),A)) ->
% t(t(t(A,i(quotient(A,j(A)))),A),t(A,i(quotient(A,j(A)))))
% Current number of equations to process: 327
% Current number of ordered equations: 0
% Current number of rules: 978
% New rule produced :
% [2057]
% difference(t(t(t(A,i(quotient(A,j(A)))),A),t(A,i(quotient(A,j(A))))),i(A)) ->
% t(t(A,i(quotient(A,j(A)))),A)
% Current number of equations to process: 326
% Current number of ordered equations: 0
% Current number of rules: 979
% New rule produced : [2058] quotient(A,i(quotient(j(A),j(j(A))))) -> j(A)
% Current number of equations to process: 326
% Current number of ordered equations: 0
% Current number of rules: 980
% New rule produced :
% [2059]
% difference(quotient(eta(B),quotient(i(A),j(B))),B) <->
% quotient(difference(A,quotient(difference(i(i(quotient(j(B),j(j(B))))),B),
% i(quotient(j(B),j(j(B)))))),j(B))
% Current number of equations to process: 327
% Current number of ordered equations: 1
% Current number of rules: 981
% New rule produced :
% [2060]
% quotient(difference(A,quotient(difference(i(i(quotient(j(B),j(j(B))))),B),
% i(quotient(j(B),j(j(B)))))),j(B)) <->
% difference(quotient(eta(B),quotient(i(A),j(B))),B)
% Current number of equations to process: 327
% Current number of ordered equations: 0
% Current number of rules: 982
% New rule produced :
% [2061]
% difference(quotient(eta(A),difference(A,B)),B) ->
% quotient(i(quotient(j(quotient(difference(i(difference(A,B)),B),difference(A,B))),
% j(j(quotient(difference(i(difference(A,B)),B),difference(A,B)))))),A)
% Current number of equations to process: 326
% Current number of ordered equations: 0
% Current number of rules: 983
% Rule [1348]
% difference(quotient(eta(B),quotient(i(A),i(B))),j(B)) ->
% quotient(difference(A,quotient(difference(j(eta(B)),j(B)),eta(B))),i(B)) is composed into
% [1348]
% difference(quotient(eta(B),quotient(i(A),i(B))),j(B)) ->
% quotient(difference(A,quotient(i(B),eta(B))),i(B))
% New rule produced : [2062] difference(j(eta(A)),j(A)) -> i(A)
% Rule
% [1767]
% difference(i(quotient(A,j(A))),quotient(j(A),quotient(quotient(difference(B,
% quotient(
% difference(
% j(eta(A)),
% j(A)),
% eta(A))),
% i(A)),j(A)))) ->
% quotient(quotient(quotient(eta(B),quotient(i(i(quotient(A,j(A)))),B)),i(A)),
% j(A)) collapsed.
% Current number of equations to process: 327
% Current number of ordered equations: 0
% Current number of rules: 983
% New rule produced :
% [2063]
% difference(j(j(A)),j(eta(A))) -> quotient(difference(A,j(eta(A))),j(eta(A)))
% Current number of equations to process: 327
% Current number of ordered equations: 0
% Current number of rules: 984
% New rule produced :
% [2064]
% difference(j(quotient(i(A),j(eta(B)))),j(j(B))) ->
% quotient(difference(A,quotient(difference(i(B),j(j(B))),B)),j(eta(B)))
% Current number of equations to process: 327
% Current number of ordered equations: 0
% Current number of rules: 985
% New rule produced :
% [2065]
% difference(i(quotient(A,j(A))),quotient(j(A),quotient(quotient(difference(B,
% i(i(i(A)))),
% i(A)),j(A)))) ->
% quotient(quotient(quotient(eta(B),quotient(i(i(quotient(A,j(A)))),B)),i(A)),
% j(A))
% Current number of equations to process: 326
% Current number of ordered equations: 0
% Current number of rules: 986
% Rule [1256] t(i(i(i(A))),eta(A)) -> t(i(A),eta(A)) is composed into [1256]
% t(
% i(
% i(i(A))),
% eta(A))
% ->
% j(eta(A))
% Rule [964] difference(j(A),i(A)) -> t(i(A),eta(A)) is composed into [964]
% difference(
% j(A),
% i(A)) ->
% j(eta(A))
% Rule [222] quotient(j(A),i(A)) -> t(i(A),eta(A)) is composed into [222]
% quotient(
% j(A),
% i(A)) ->
% j(eta(A))
% New rule produced : [2066] t(i(A),eta(A)) -> j(eta(A))
% Rule [882] difference(t(i(A),eta(A)),j(A)) -> i(A) collapsed.
% Rule [883] quotient(j(A),t(i(A),eta(A))) -> t(t(i(A),eta(A)),i(A)) collapsed.
% Rule [918] difference(t(t(i(A),eta(A)),i(A)),j(A)) -> t(i(A),eta(A))
% collapsed.
% Rule
% [920]
% quotient(j(A),t(t(i(A),eta(A)),i(A))) ->
% t(t(t(i(A),eta(A)),i(A)),t(i(A),eta(A))) collapsed.
% Rule [1028] quotient(i(A),t(i(A),eta(A))) -> j(A) collapsed.
% Rule [1044] t(j(A),t(i(A),eta(A))) -> eta(A) collapsed.
% Rule [1257] difference(t(i(A),eta(A)),i(A)) -> i(i(i(A))) collapsed.
% Rule [1356] t(t(i(A),eta(A)),i(i(i(A)))) -> j(A) collapsed.
% Rule
% [1378]
% difference(t(t(t(i(A),eta(A)),i(A)),t(i(A),eta(A))),j(A)) ->
% t(t(i(A),eta(A)),i(A)) collapsed.
% Rule
% [1387]
% quotient(quotient(j(A),quotient(t(i(A),eta(A)),j(A))),t(t(i(A),eta(A)),i(A)))
% -> j(A) collapsed.
% Rule
% [1537]
% quotient(difference(i(t(i(A),eta(A))),quotient(difference(i(i(A)),j(A)),i(A))),
% t(i(A),eta(A))) -> j(A) collapsed.
% Rule
% [1598]
% quotient(j(quotient(i(quotient(eta(A),t(i(A),eta(A)))),j(eta(A)))),j(j(A)))
% -> j(A) collapsed.
% Rule
% [1685]
% quotient(j(A),t(t(t(i(A),eta(A)),i(A)),t(i(A),eta(A)))) ->
% t(t(t(t(i(A),eta(A)),i(A)),t(i(A),eta(A))),t(t(i(A),eta(A)),i(A))) collapsed.
% Rule
% [1714]
% difference(t(t(t(t(i(A),eta(A)),i(A)),t(i(A),eta(A))),t(t(i(A),eta(A)),i(A))),
% j(A)) -> t(t(t(i(A),eta(A)),i(A)),t(i(A),eta(A))) collapsed.
% Rule
% [1769]
% difference(i(A),quotient(j(A),quotient(quotient(difference(B,quotient(
% difference(
% i(i(A)),
% j(A)),i(A))),
% t(i(A),eta(A))),j(A)))) ->
% quotient(quotient(quotient(eta(B),quotient(i(i(A)),B)),t(i(A),eta(A))),j(A))
% collapsed.
% Rule
% [1933]
% quotient(j(A),t(t(t(t(i(A),eta(A)),i(A)),t(i(A),eta(A))),t(t(i(A),eta(A)),
% i(A)))) ->
% t(t(t(t(t(i(A),eta(A)),i(A)),t(i(A),eta(A))),t(t(i(A),eta(A)),i(A))),
% t(t(t(i(A),eta(A)),i(A)),t(i(A),eta(A)))) collapsed.
% Rule
% [2010]
% difference(quotient(j(A),j(j(A))),quotient(j(A),quotient(quotient(quotient(
% difference(B,
% quotient(
% difference(
% i(i(A)),
% j(A)),
% i(A))),
% t(i(A),
% eta(A))),
% j(A)),j(A)))) ->
% quotient(eta(difference(quotient(j(A),j(j(A))),i(quotient(A,j(A))))),
% quotient(i(quotient(quotient(quotient(eta(B),quotient(i(quotient(j(A),
% j(j(A)))),B)),
% j(A)),j(A))),difference(quotient(j(A),j(j(A))),i(
% quotient(A,
% j(A))))))
% collapsed.
% Rule
% [2046]
% quotient(difference(i(A),t(i(A),eta(A))),t(i(A),eta(A))) ->
% difference(j(A),t(i(A),eta(A))) collapsed.
% Rule
% [2047]
% difference(quotient(eta(t(i(B),eta(B))),quotient(i(A),t(i(B),eta(B)))),j(B))
% ->
% quotient(difference(A,quotient(difference(i(i(B)),j(B)),i(B))),t(i(B),eta(B)))
% collapsed.
% Rule
% [2048]
% difference(t(i(A),eta(A)),quotient(eta(A),quotient(j(eta(t(i(A),eta(A)))),
% j(A)))) ->
% quotient(difference(i(i(A)),j(quotient(i(i(A)),eta(t(i(A),eta(A)))))),i(A))
% collapsed.
% Rule
% [2049]
% quotient(quotient(t(i(A),eta(A)),t(t(i(A),eta(A)),i(A))),quotient(t(i(A),
% eta(A)),
% j(A))) ->
% t(i(A),eta(A)) collapsed.
% Current number of equations to process: 343
% Current number of ordered equations: 0
% Current number of rules: 966
% New rule produced : [2067] t(j(A),j(eta(A))) -> eta(A)
% Current number of equations to process: 342
% Current number of ordered equations: 0
% Current number of rules: 967
% New rule produced : [2068] difference(j(eta(A)),i(A)) -> i(i(i(A)))
% Current number of equations to process: 341
% Current number of ordered equations: 0
% Current number of rules: 968
% New rule produced : [2069] t(j(eta(A)),i(A)) -> j(j(j(A)))
% Current number of equations to process: 340
% Current number of ordered equations: 0
% Current number of rules: 969
% New rule produced : [2070] t(j(eta(A)),i(i(i(A)))) -> j(A)
% Current number of equations to process: 339
% Current number of ordered equations: 0
% Current number of rules: 970
% New rule produced :
% [2071]
% quotient(difference(i(A),j(eta(A))),j(eta(A))) -> difference(j(A),j(eta(A)))
% Current number of equations to process: 337
% Current number of ordered equations: 0
% Current number of rules: 971
% New rule produced : [2072] t(j(j(j(A))),j(eta(A))) -> eta(A)
% Current number of equations to process: 338
% Current number of ordered equations: 0
% Current number of rules: 972
% New rule produced :
% [2073]
% difference(quotient(eta(B),quotient(i(A),j(j(B)))),B) ->
% quotient(difference(A,t(j(eta(B)),B)),j(j(B)))
% Current number of equations to process: 336
% Current number of ordered equations: 0
% Current number of rules: 973
% New rule produced :
% [2074] quotient(quotient(j(A),quotient(j(eta(A)),j(A))),j(j(j(A)))) -> j(A)
% Current number of equations to process: 335
% Current number of ordered equations: 0
% Current number of rules: 974
% New rule produced :
% [2075]
% quotient(quotient(j(eta(A)),j(j(j(A)))),quotient(j(eta(A)),j(A))) ->
% j(eta(A))
% Current number of equations to process: 334
% Current number of ordered equations: 0
% Current number of rules: 975
% New rule produced :
% [2076]
% quotient(quotient(j(quotient(i(quotient(eta(quotient(difference(i(i(A)),j(A)),
% i(A))),quotient(j(A),quotient(
% difference(
% i(i(A)),
% j(A)),
% i(A))))),
% j(eta(A)))),j(j(A))),j(eta(A))) -> j(A)
% Current number of equations to process: 333
% Current number of ordered equations: 0
% Current number of rules: 976
% New rule produced :
% [2077]
% difference(j(quotient(i(A),j(eta(B)))),j(B)) ->
% quotient(difference(A,quotient(difference(i(i(B)),j(B)),i(B))),j(eta(B)))
% Current number of equations to process: 332
% Current number of ordered equations: 0
% Current number of rules: 977
% New rule produced :
% [2078]
% difference(quotient(eta(A),quotient(j(quotient(difference(i(difference(A,B)),B),
% difference(A,B))),A)),B) ->
% quotient(j(eta(quotient(difference(i(difference(A,B)),B),difference(A,B)))),A)
% Current number of equations to process: 329
% Current number of ordered equations: 0
% Current number of rules: 978
% New rule produced : [2079] quotient(i(i(A)),j(eta(A))) -> A
% Current number of equations to process: 329
% Current number of ordered equations: 0
% Current number of rules: 979
% New rule produced :
% [2080] quotient(quotient(i(A),quotient(j(eta(A)),i(A))),j(A)) -> i(A)
% Current number of equations to process: 330
% Current number of ordered equations: 0
% Current number of rules: 980
% New rule produced :
% [2081]
% quotient(quotient(j(eta(A)),j(A)),quotient(j(eta(A)),i(A))) -> j(eta(A))
% Current number of equations to process: 329
% Current number of ordered equations: 0
% Current number of rules: 981
% New rule produced :
% [2082]
% difference(i(A),quotient(j(A),quotient(quotient(difference(B,quotient(
% difference(
% i(i(A)),
% j(A)),i(A))),
% j(eta(A))),j(A)))) ->
% quotient(quotient(quotient(eta(B),quotient(i(i(A)),B)),j(eta(A))),j(A))
% Current number of equations to process: 328
% Current number of ordered equations: 0
% Current number of rules: 982
% Rule [2073]
% difference(quotient(eta(B),quotient(i(A),j(j(B)))),B) ->
% quotient(difference(A,t(j(eta(B)),B)),j(j(B))) is composed into
% [2073]
% difference(quotient(eta(B),quotient(i(A),j(j(B)))),B) ->
% quotient(difference(A,j(j(j(j(B))))),j(j(B)))
% Rule [948] quotient(j(j(A)),j(eta(A))) -> t(j(eta(A)),A) is composed into
% [948] quotient(j(j(A)),j(eta(A))) -> j(j(j(j(A))))
% New rule produced : [2083] t(j(eta(A)),A) -> j(j(j(j(A))))
% Rule [950] difference(t(j(eta(A)),A),j(j(A))) -> j(eta(A)) collapsed.
% Rule [956] quotient(j(j(A)),t(j(eta(A)),A)) -> t(t(j(eta(A)),A),j(eta(A)))
% collapsed.
% Rule [1214] difference(t(t(j(eta(A)),A),j(eta(A))),j(j(A))) -> t(j(eta(A)),A)
% collapsed.
% Rule
% [1401]
% quotient(j(j(A)),t(t(j(eta(A)),A),j(eta(A)))) ->
% t(t(t(j(eta(A)),A),j(eta(A))),t(j(eta(A)),A)) collapsed.
% Rule
% [1464]
% difference(t(t(t(j(eta(A)),A),j(eta(A))),t(j(eta(A)),A)),j(j(A))) ->
% t(t(j(eta(A)),A),j(eta(A))) collapsed.
% Rule
% [1766]
% quotient(j(j(A)),t(t(t(j(eta(A)),A),j(eta(A))),t(j(eta(A)),A))) ->
% t(t(t(t(j(eta(A)),A),j(eta(A))),t(j(eta(A)),A)),t(t(j(eta(A)),A),j(eta(A))))
% collapsed.
% Current number of equations to process: 333
% Current number of ordered equations: 0
% Current number of rules: 977
% New rule produced : [2084] t(j(j(j(j(A)))),j(eta(A))) -> eta(A)
% Current number of equations to process: 332
% Current number of ordered equations: 0
% Current number of rules: 978
% Rule [1626]
% quotient(t(eta(A),B),A) <->
% t(eta(A),quotient(B,quotient(j(quotient(i(quotient(eta(A),quotient(
% j(A),j(j(A))))),
% j(eta(A)))),j(j(A))))) is composed into
% [1626] quotient(t(eta(A),B),A) -> t(eta(A),quotient(B,j(j(j(j(A))))))
% New rule produced :
% [2085]
% quotient(j(quotient(i(quotient(eta(A),quotient(j(A),j(j(A))))),j(eta(A)))),
% j(j(A))) -> j(j(j(j(A))))
% Rule
% [1625]
% t(eta(A),quotient(B,quotient(j(quotient(i(quotient(eta(A),quotient(j(A),
% j(j(A))))),
% j(eta(A)))),j(j(A))))) <->
% quotient(t(eta(A),B),A) collapsed.
% Rule
% [1697]
% t(eta(A),quotient(difference(B,eta(A)),quotient(j(quotient(i(quotient(
% eta(A),quotient(
% j(A),
% j(
% j(A))))),
% j(eta(A)))),j(j(A))))) ->
% i(quotient(eta(A),quotient(i(t(eta(A),B)),A))) collapsed.
% Current number of equations to process: 332
% Current number of ordered equations: 0
% Current number of rules: 977
% New rule produced :
% [2086]
% t(eta(A),quotient(difference(B,eta(A)),j(j(j(j(A)))))) ->
% i(quotient(eta(A),quotient(i(t(eta(A),B)),A)))
% Current number of equations to process: 331
% Current number of ordered equations: 0
% Current number of rules: 978
% New rule produced :
% [2087] quotient(t(eta(A),B),i(i(i(A)))) -> t(eta(A),quotient(B,j(A)))
% Current number of equations to process: 329
% Current number of ordered equations: 0
% Current number of rules: 979
% New rule produced :
% [2088]
% quotient(quotient(A,j(A)),quotient(eta(quotient(A,j(A))),t(quotient(A,j(A)),
% j(A)))) -> A
% Current number of equations to process: 338
% Current number of ordered equations: 0
% Current number of rules: 980
% New rule produced :
% [2089]
% difference(t(quotient(A,j(A)),A),quotient(quotient(A,j(A)),t(quotient(A,j(A)),
% j(A)))) ->
% quotient(A,j(A))
% Current number of equations to process: 338
% Current number of ordered equations: 0
% Current number of rules: 981
% New rule produced :
% [2090]
% quotient(t(quotient(A,j(A)),j(A)),quotient(A,quotient(quotient(A,j(A)),
% t(quotient(A,j(A)),j(A))))) -> A
% Current number of equations to process: 338
% Current number of ordered equations: 0
% Current number of rules: 982
% New rule produced :
% [2091]
% quotient(quotient(t(A,i(quotient(A,j(A)))),t(t(A,i(quotient(A,j(A)))),A)),
% i(A)) -> t(A,i(quotient(A,j(A))))
% Current number of equations to process: 337
% Current number of ordered equations: 0
% Current number of rules: 983
% New rule produced :
% [2092]
% quotient(quotient(quotient(A,j(A)),t(quotient(A,j(A)),j(A))),t(quotient(A,
% j(A)),A)) ->
% t(t(quotient(A,j(A)),A),quotient(A,j(A)))
% Current number of equations to process: 336
% Current number of ordered equations: 0
% Current number of rules: 984
% New rule produced :
% [2093]
% difference(t(t(quotient(A,j(A)),A),quotient(A,j(A))),quotient(quotient(A,
% j(A)),t(
% quotient(A,
% j(A)),
% j(A))))
% -> t(quotient(A,j(A)),A)
% Current number of equations to process: 335
% Current number of ordered equations: 0
% Current number of rules: 985
% New rule produced :
% [2094]
% quotient(quotient(quotient(A,j(A)),t(quotient(A,j(A)),j(A))),t(t(quotient(A,
% j(A)),A),
% quotient(A,
% j(A)))) ->
% t(t(t(quotient(A,j(A)),A),quotient(A,j(A))),t(quotient(A,j(A)),A))
% Current number of equations to process: 334
% Current number of ordered equations: 0
% Current number of rules: 986
% New rule produced :
% [2095]
% quotient(difference(i(quotient(A,j(A))),quotient(difference(i(A),quotient(
% quotient(A,
% j(A)),
% t(quotient(A,
% j(A)),
% j(A)))),A)),
% quotient(A,j(A))) -> quotient(quotient(A,j(A)),t(quotient(A,j(A)),j(A)))
% Current number of equations to process: 333
% Current number of ordered equations: 0
% Current number of rules: 987
% New rule produced :
% [2096] quotient(difference(j(j(A)),t(j(eta(A)),j(A))),j(j(j(A)))) -> j(A)
% Current number of equations to process: 331
% Current number of ordered equations: 0
% Current number of rules: 988
% New rule produced :
% [2097]
% quotient(quotient(i(quotient(eta(A),j(eta(A)))),t(i(quotient(eta(A),j(eta(A)))),
% eta(A))),j(eta(A))) ->
% i(quotient(eta(A),j(eta(A))))
% Current number of equations to process: 332
% Current number of ordered equations: 0
% Current number of rules: 989
% New rule produced :
% [2098]
% quotient(difference(i(t(i(i(A)),eta(A))),quotient(difference(i(i(i(A))),A),
% i(i(A)))),t(i(i(A)),eta(A))) -> A
% Current number of equations to process: 334
% Current number of ordered equations: 0
% Current number of rules: 990
% New rule produced :
% [2099]
% difference(j(t(eta(A),B)),j(t(eta(A),C))) -> t(eta(A),difference(j(B),j(C)))
% Current number of equations to process: 336
% Current number of ordered equations: 1
% Current number of rules: 991
% New rule produced :
% [2100]
% difference(j(j(t(eta(A),B))),t(eta(A),C)) -> t(eta(A),difference(j(j(B)),C))
% Current number of equations to process: 336
% Current number of ordered equations: 0
% Current number of rules: 992
% New rule produced :
% [2101]
% difference(j(t(eta(A),B)),i(t(eta(A),C))) -> t(eta(A),difference(j(B),i(C)))
% Current number of equations to process: 335
% Current number of ordered equations: 0
% Current number of rules: 993
% New rule produced :
% [2102]
% t(eta(B),quotient(j(quotient(i(quotient(eta(A),quotient(j(B),A))),j(eta(B)))),
% j(j(B)))) -> quotient(A,eta(B))
% Current number of equations to process: 335
% Current number of ordered equations: 0
% Current number of rules: 994
% New rule produced :
% [2103]
% quotient(difference(A,t(eta(B),quotient(difference(i(difference(j(C),V_3)),V_3),
% difference(j(C),V_3)))),j(t(eta(B),C))) <->
% difference(quotient(eta(t(eta(B),C)),quotient(i(A),j(t(eta(B),C)))),t(
% eta(B),V_3))
% Current number of equations to process: 334
% Current number of ordered equations: 1
% Current number of rules: 995
% New rule produced :
% [2104]
% difference(quotient(eta(t(eta(B),C)),quotient(i(A),j(t(eta(B),C)))),t(
% eta(B),V_3))
% <->
% quotient(difference(A,t(eta(B),quotient(difference(i(difference(j(C),V_3)),V_3),
% difference(j(C),V_3)))),j(t(eta(B),C)))
% Current number of equations to process: 334
% Current number of ordered equations: 0
% Current number of rules: 996
% New rule produced :
% [2105]
% quotient(t(eta(A),B),j(j(t(eta(A),C)))) -> t(eta(A),quotient(B,j(j(C))))
% Current number of equations to process: 336
% Current number of ordered equations: 1
% Current number of rules: 997
% New rule produced :
% [2106]
% quotient(j(t(eta(A),B)),j(t(eta(A),C))) -> t(eta(A),quotient(j(B),j(C)))
% Current number of equations to process: 336
% Current number of ordered equations: 0
% Current number of rules: 998
% New rule produced :
% [2107]
% quotient(i(t(eta(A),B)),j(t(eta(A),C))) -> t(eta(A),quotient(i(B),j(C)))
% Current number of equations to process: 335
% Current number of ordered equations: 0
% Current number of rules: 999
% New rule produced :
% [2108]
% i(quotient(j(t(eta(A),B)),j(j(t(eta(A),B))))) ->
% i(t(eta(A),quotient(j(B),j(j(B)))))
% Current number of equations to process: 334
% Current number of ordered equations: 0
% Current number of rules: 1000
% New rule produced :
% [2109]
% quotient(j(j(t(eta(A),B))),t(eta(A),C)) -> t(eta(A),quotient(j(j(B)),C))
% Current number of equations to process: 336
% Current number of ordered equations: 0
% Current number of rules: 1001
% New rule produced :
% [2110]
% quotient(j(t(eta(A),B)),i(t(eta(A),C))) -> t(eta(A),quotient(j(B),i(C)))
% Current number of equations to process: 335
% Current number of ordered equations: 0
% Current number of rules: 1002
% New rule produced : [2111] quotient(j(eta(A)),i(i(i(i(A))))) -> i(A)
% Current number of equations to process: 341
% Current number of ordered equations: 0
% Current number of rules: 1003
% New rule produced : [2112] quotient(i(i(i(i(A)))),j(eta(A))) -> i(i(A))
% Rule
% [1855]
% t(eta(A),difference(B,quotient(j(quotient(i(quotient(eta(quotient(i(i(
% i(i(A)))),
% j(eta(A)))),
% quotient(j(A),quotient(i(
% i(
% i(i(A)))),
% j(eta(A)))))),
% j(eta(A)))),j(j(A))))) ->
% t(eta(A),difference(B,A)) collapsed.
% Current number of equations to process: 341
% Current number of ordered equations: 0
% Current number of rules: 1003
% Rule [1993]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% quotient(
% i(B),
% i(
% i(
% i(
% i(i(A)))))),
% eta(A)),
% eta(A)))) ->
% quotient(eta(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),
% quotient(quotient(
% i(i(i(i(A)))),
% eta(A)),
% eta(A))))),quotient(
% i(B),
% difference(
% quotient(
% eta(A),
% j(
% eta(A))),
% quotient(
% eta(A),
% quotient(
% quotient(
% i(
% i(
% i(i(A)))),
% eta(A)),
% eta(A)))))) is composed into
% [1993]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% quotient(
% i(B),i(
% i(
% i(
% i(i(A)))))),
% eta(A)),
% eta(A)))) ->
% quotient(eta(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% i(
% i(
% i(
% i(
% i(i(A)))))),
% eta(A))))),
% quotient(i(B),difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(
% i(
% i(
% i(
% i(
% i(i(A)))))),
% eta(A))))))
% Rule [1943]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% quotient(
% i(B),
% i(
% i(i(A)))),
% eta(A)),
% eta(A)))) ->
% quotient(eta(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),
% quotient(i(i(i(i(A)))),
% eta(A))))),quotient(
% i(B),
% difference(
% quotient(
% eta(A),
% j(
% eta(A))),
% quotient(
% eta(A),
% quotient(
% i(
% i(
% i(i(A)))),
% eta(A)))))) is composed into
% [1943]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% quotient(
% i(B),i(
% i(i(A)))),
% eta(A)),
% eta(A)))) ->
% quotient(eta(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),i(
% i(
% i(
% i(
% i(i(A))))))))),
% quotient(i(B),difference(quotient(eta(A),j(eta(A))),quotient(eta(A),i(
% i(
% i(
% i(
% i(i(A))))))))))
% New rule produced :
% [2113] quotient(i(i(i(i(A)))),eta(A)) -> i(i(i(i(i(i(A))))))
% Rule [1104] t(i(i(i(i(A)))),quotient(i(i(i(i(A)))),eta(A))) -> i(i(A))
% collapsed.
% Rule
% [1106]
% quotient(quotient(eta(A),quotient(i(i(i(i(A)))),eta(A))),i(i(i(i(i(A)))))) ->
% eta(A) collapsed.
% Rule
% [1683]
% quotient(i(t(i(i(i(i(A)))),i(t(i(i(i(A))),i(t(i(i(A)),i(t(i(A),i(t(A,
% i(quotient(A,
% j(A))))))))))))),
% quotient(i(i(i(i(A)))),eta(A))) -> i(i(i(i(A)))) collapsed.
% Current number of equations to process: 341
% Current number of ordered equations: 0
% Current number of rules: 1001
% New rule produced : [2114] t(t(eta(A),B),i(i(i(i(A))))) -> t(eta(A),t(B,A))
% Current number of equations to process: 339
% Current number of ordered equations: 1
% Current number of rules: 1002
% New rule produced : [2115] t(i(i(i(i(A)))),t(eta(A),B)) -> t(eta(A),t(A,B))
% Current number of equations to process: 339
% Current number of ordered equations: 0
% Current number of rules: 1003
% New rule produced :
% [2116]
% difference(j(eta(A)),i(i(i(i(A))))) -> t(eta(A),difference(j(eta(A)),A))
% Current number of equations to process: 338
% Current number of ordered equations: 0
% Current number of rules: 1004
% New rule produced :
% [2117]
% t(eta(A),quotient(A,quotient(j(quotient(i(quotient(eta(B),quotient(j(A),B))),
% j(eta(A)))),j(j(A))))) ->
% quotient(i(i(i(i(A)))),quotient(B,eta(A)))
% Current number of equations to process: 337
% Current number of ordered equations: 0
% Current number of rules: 1005
% New rule produced :
% [2118] difference(i(i(i(A))),t(eta(A),B)) -> t(eta(A),difference(j(A),B))
% Current number of equations to process: 341
% Current number of ordered equations: 0
% Current number of rules: 1006
% New rule produced :
% [2119] quotient(i(i(i(A))),t(eta(A),B)) -> t(eta(A),quotient(j(A),B))
% Current number of equations to process: 340
% Current number of ordered equations: 0
% Current number of rules: 1007
% New rule produced :
% [2120]
% difference(j(t(eta(A),B)),i(i(i(i(A))))) -> t(eta(A),difference(j(B),A))
% Current number of equations to process: 342
% Current number of ordered equations: 0
% Current number of rules: 1008
% New rule produced :
% [2121] quotient(i(i(i(i(A)))),j(t(eta(A),B))) -> t(eta(A),quotient(A,j(B)))
% Current number of equations to process: 341
% Current number of ordered equations: 0
% Current number of rules: 1009
% New rule produced :
% [2122] quotient(j(t(eta(A),B)),i(i(i(i(A))))) -> t(eta(A),quotient(j(B),A))
% Current number of equations to process: 340
% Current number of ordered equations: 0
% Current number of rules: 1010
% New rule produced :
% [2123]
% difference(i(t(eta(A),B)),j(t(eta(A),C))) -> t(eta(A),difference(i(B),j(C)))
% Current number of equations to process: 339
% Current number of ordered equations: 0
% Current number of rules: 1011
% New rule produced :
% [2124]
% difference(i(i(t(eta(A),B))),t(eta(A),C)) -> t(eta(A),difference(i(i(B)),C))
% Current number of equations to process: 337
% Current number of ordered equations: 1
% Current number of rules: 1012
% New rule produced :
% [2125]
% difference(i(t(eta(A),B)),i(t(eta(A),C))) -> t(eta(A),difference(i(B),i(C)))
% Current number of equations to process: 337
% Current number of ordered equations: 0
% Current number of rules: 1013
% New rule produced :
% [2126]
% quotient(difference(A,t(eta(B),quotient(difference(i(difference(i(C),V_3)),V_3),
% difference(i(C),V_3)))),i(t(eta(B),C))) <->
% difference(quotient(eta(t(eta(B),C)),quotient(i(A),i(t(eta(B),C)))),t(
% eta(B),V_3))
% Current number of equations to process: 337
% Current number of ordered equations: 1
% Current number of rules: 1014
% New rule produced :
% [2127]
% difference(quotient(eta(t(eta(B),C)),quotient(i(A),i(t(eta(B),C)))),t(
% eta(B),V_3))
% <->
% quotient(difference(A,t(eta(B),quotient(difference(i(difference(i(C),V_3)),V_3),
% difference(i(C),V_3)))),i(t(eta(B),C)))
% Current number of equations to process: 337
% Current number of ordered equations: 0
% Current number of rules: 1015
% New rule produced :
% [2128]
% difference(i(t(eta(A),B)),i(i(i(i(A))))) -> t(eta(A),difference(i(B),A))
% Current number of equations to process: 339
% Current number of ordered equations: 1
% Current number of rules: 1016
% New rule produced :
% [2129]
% difference(i(i(i(i(i(A))))),t(eta(A),B)) -> t(eta(A),difference(i(A),B))
% Current number of equations to process: 339
% Current number of ordered equations: 0
% Current number of rules: 1017
% New rule produced :
% [2130]
% quotient(t(eta(A),B),i(i(t(eta(A),C)))) -> t(eta(A),quotient(B,i(i(C))))
% Current number of equations to process: 337
% Current number of ordered equations: 1
% Current number of rules: 1018
% New rule produced :
% [2131]
% quotient(i(t(eta(A),B)),i(t(eta(A),C))) -> t(eta(A),quotient(i(B),i(C)))
% Current number of equations to process: 337
% Current number of ordered equations: 0
% Current number of rules: 1019
% New rule produced :
% [2132] quotient(t(eta(A),B),i(i(i(i(i(A)))))) -> t(eta(A),quotient(B,i(A)))
% Current number of equations to process: 338
% Current number of ordered equations: 1
% Current number of rules: 1020
% New rule produced :
% [2133] quotient(i(i(i(i(A)))),i(t(eta(A),B))) -> t(eta(A),quotient(A,i(B)))
% Current number of equations to process: 338
% Current number of ordered equations: 0
% Current number of rules: 1021
% New rule produced :
% [2134]
% quotient(i(i(t(eta(A),B))),t(eta(A),C)) -> t(eta(A),quotient(i(i(B)),C))
% Current number of equations to process: 337
% Current number of ordered equations: 0
% Current number of rules: 1022
% New rule produced : [2135] eta(t(eta(A),eta(B))) -> one
% Current number of equations to process: 340
% Current number of ordered equations: 0
% Current number of rules: 1023
% New rule produced :
% [2136] i(t(eta(A),t(eta(B),eta(C)))) -> j(t(eta(A),t(eta(B),eta(C))))
% Current number of equations to process: 340
% Current number of ordered equations: 0
% Current number of rules: 1024
% New rule produced :
% [2137] quotient(i(t(eta(A),B)),i(i(i(i(A))))) -> t(eta(A),quotient(i(B),A))
% Current number of equations to process: 338
% Current number of ordered equations: 1
% Current number of rules: 1025
% New rule produced :
% [2138] quotient(i(i(i(i(i(A))))),t(eta(A),B)) -> t(eta(A),quotient(i(A),B))
% Current number of equations to process: 338
% Current number of ordered equations: 0
% Current number of rules: 1026
% New rule produced :
% [2139]
% quotient(difference(i(quotient(A,t(eta(B),eta(C)))),quotient(difference(
% j(t(eta(B),
% eta(C))),A),
% t(eta(B),eta(C)))),
% quotient(A,t(eta(B),eta(C)))) -> A
% Current number of equations to process: 338
% Current number of ordered equations: 0
% Current number of rules: 1027
% New rule produced :
% [2140] difference(t(i(i(i(i(i(A))))),eta(A)),i(i(i(A)))) -> i(i(i(i(i(A)))))
% Current number of equations to process: 342
% Current number of ordered equations: 0
% Current number of rules: 1028
% New rule produced :
% [2141]
% quotient(i(i(i(A))),t(i(i(i(i(i(A))))),eta(A))) ->
% t(t(i(i(i(i(i(A))))),eta(A)),i(i(i(i(i(A))))))
% Current number of equations to process: 342
% Current number of ordered equations: 0
% Current number of rules: 1029
% New rule produced :
% [2142]
% difference(t(t(i(i(i(i(i(A))))),eta(A)),i(i(i(i(i(A)))))),i(i(i(A)))) ->
% t(i(i(i(i(i(A))))),eta(A))
% Current number of equations to process: 341
% Current number of ordered equations: 0
% Current number of rules: 1030
% New rule produced :
% [2143]
% quotient(difference(i(i(i(i(A)))),t(i(i(i(i(A)))),eta(A))),t(i(i(i(i(A)))),
% eta(A))) ->
% difference(i(i(A)),t(i(i(i(i(A)))),eta(A)))
% Current number of equations to process: 343
% Current number of ordered equations: 0
% Current number of rules: 1031
% New rule produced :
% [2144]
% quotient(quotient(i(i(A)),quotient(t(i(i(i(i(A)))),eta(A)),i(i(A)))),
% t(t(i(i(i(i(A)))),eta(A)),i(i(i(i(A)))))) -> i(i(A))
% Current number of equations to process: 349
% Current number of ordered equations: 0
% Current number of rules: 1032
% New rule produced :
% [2145]
% difference(t(t(t(quotient(A,j(A)),A),quotient(A,j(A))),t(quotient(A,j(A)),A)),
% quotient(quotient(A,j(A)),t(quotient(A,j(A)),j(A)))) ->
% t(t(quotient(A,j(A)),A),quotient(A,j(A)))
% Current number of equations to process: 347
% Current number of ordered equations: 0
% Current number of rules: 1033
% New rule produced :
% [2146]
% quotient(i(i(i(A))),t(t(i(i(i(i(i(A))))),eta(A)),i(i(i(i(i(A))))))) ->
% t(t(t(i(i(i(i(i(A))))),eta(A)),i(i(i(i(i(A)))))),t(i(i(i(i(i(A))))),eta(A)))
% Current number of equations to process: 346
% Current number of ordered equations: 0
% Current number of rules: 1034
% New rule produced :
% [2147]
% quotient(i(A),t(t(t(A,i(quotient(A,j(A)))),A),t(A,i(quotient(A,j(A)))))) ->
% t(t(t(t(A,i(quotient(A,j(A)))),A),t(A,i(quotient(A,j(A))))),t(t(A,i(quotient(A,
% j(A)))),A))
% Current number of equations to process: 345
% Current number of ordered equations: 0
% Current number of rules: 1035
% New rule produced :
% [2148]
% quotient(A,t(t(t(i(i(A)),eta(A)),i(i(A))),t(i(i(A)),eta(A)))) ->
% t(t(t(t(i(i(A)),eta(A)),i(i(A))),t(i(i(A)),eta(A))),t(t(i(i(A)),eta(A)),
% i(i(A))))
% Current number of equations to process: 344
% Current number of ordered equations: 0
% Current number of rules: 1036
% New rule produced :
% [2149]
% quotient(quotient(quotient(quotient(A,j(A)),t(quotient(A,j(A)),j(A))),
% quotient(A,quotient(quotient(A,j(A)),t(quotient(A,j(A)),j(A))))),
% quotient(A,j(A))) -> quotient(quotient(A,j(A)),t(quotient(A,j(A)),j(A)))
% Current number of equations to process: 342
% Current number of ordered equations: 0
% Current number of rules: 1037
% New rule produced : [2150] difference(A,difference(i(A),A)) -> A
% Current number of equations to process: 342
% Current number of ordered equations: 0
% Current number of rules: 1038
% New rule produced : [2151] quotient(difference(A,j(A)),j(A)) -> j(A)
% Current number of equations to process: 342
% Current number of ordered equations: 0
% Current number of rules: 1039
% New rule produced :
% [2152]
% quotient(difference(i(A),quotient(difference(i(A),difference(i(A),A)),A)),A)
% -> difference(i(A),A)
% Current number of equations to process: 342
% Current number of ordered equations: 0
% Current number of rules: 1040
% New rule produced :
% [2153]
% difference(quotient(A,j(eta(B))),t(A,eta(B))) ->
% quotient(difference(A,t(A,eta(B))),t(A,eta(B)))
% Current number of equations to process: 346
% Current number of ordered equations: 0
% Current number of rules: 1041
% New rule produced :
% [2154]
% difference(quotient(eta(t(B,eta(C))),quotient(i(A),t(B,eta(C)))),quotient(B,
% j(eta(C))))
% ->
% quotient(difference(A,quotient(difference(i(B),quotient(B,j(eta(C)))),B)),
% t(B,eta(C)))
% Current number of equations to process: 345
% Current number of ordered equations: 0
% Current number of rules: 1042
% New rule produced :
% [2155]
% difference(t(A,eta(B)),quotient(eta(quotient(A,j(eta(B)))),quotient(j(
% eta(
% t(A,
% eta(B)))),
% quotient(A,
% j(eta(B)))))) ->
% quotient(difference(i(A),j(quotient(i(A),eta(t(A,eta(B)))))),A)
% Current number of equations to process: 344
% Current number of ordered equations: 0
% Current number of rules: 1043
% New rule produced :
% [2156]
% quotient(quotient(t(A,eta(B)),t(t(A,eta(B)),A)),quotient(t(A,eta(B)),
% quotient(A,j(eta(B))))) ->
% t(A,eta(B))
% Current number of equations to process: 351
% Current number of ordered equations: 0
% Current number of rules: 1044
% New rule produced :
% [2157]
% quotient(quotient(quotient(A,j(eta(B))),quotient(t(A,eta(B)),quotient(A,
% j(eta(B))))),
% t(t(A,eta(B)),A)) -> quotient(A,j(eta(B)))
% Current number of equations to process: 350
% Current number of ordered equations: 0
% Current number of rules: 1045
% New rule produced :
% [2158]
% difference(t(t(t(t(A,eta(B)),A),t(A,eta(B))),t(t(A,eta(B)),A)),quotient(A,
% j(eta(B)))) ->
% t(t(t(A,eta(B)),A),t(A,eta(B)))
% Current number of equations to process: 349
% Current number of ordered equations: 0
% Current number of rules: 1046
% New rule produced :
% [2159]
% quotient(difference(i(t(t(A,eta(B)),A)),quotient(difference(i(t(A,eta(B))),
% quotient(A,j(eta(B)))),
% t(A,eta(B)))),t(t(A,eta(B)),A)) ->
% quotient(A,j(eta(B)))
% Current number of equations to process: 348
% Current number of ordered equations: 0
% Current number of rules: 1047
% Rule [2026] quotient(j(j(j(A))),j(eta(A))) -> t(j(eta(A)),j(A)) is composed into
% [2026] quotient(j(j(j(A))),j(eta(A))) -> j(j(j(j(j(A)))))
% New rule produced : [2160] t(j(eta(A)),j(A)) -> j(j(j(j(j(A)))))
% Rule [2027] difference(t(j(eta(A)),j(A)),j(j(j(A)))) -> j(eta(A)) collapsed.
% Rule
% [2028]
% quotient(j(t(j(eta(A)),j(A))),j(j(A))) -> i(quotient(eta(A),j(eta(A))))
% collapsed.
% Rule
% [2030]
% quotient(j(j(j(A))),t(j(eta(A)),j(A))) -> t(t(j(eta(A)),j(A)),j(eta(A)))
% collapsed.
% Rule
% [2031]
% difference(t(t(j(eta(A)),j(A)),j(eta(A))),j(j(j(A)))) -> t(j(eta(A)),j(A))
% collapsed.
% Rule
% [2032]
% quotient(j(j(j(A))),t(t(j(eta(A)),j(A)),j(eta(A)))) ->
% t(t(t(j(eta(A)),j(A)),j(eta(A))),t(j(eta(A)),j(A))) collapsed.
% Rule
% [2096] quotient(difference(j(j(A)),t(j(eta(A)),j(A))),j(j(j(A)))) -> j(A)
% collapsed.
% Current number of equations to process: 353
% Current number of ordered equations: 0
% Current number of rules: 1042
% New rule produced :
% [2161] quotient(j(j(j(j(j(j(A)))))),j(j(A))) -> i(quotient(eta(A),j(eta(A))))
% Current number of equations to process: 354
% Current number of ordered equations: 0
% Current number of rules: 1043
% New rule produced : [2162] t(j(j(j(j(j(A))))),j(eta(A))) -> eta(A)
% Current number of equations to process: 353
% Current number of ordered equations: 0
% Current number of rules: 1044
% New rule produced :
% [2163] quotient(difference(j(j(A)),j(j(j(j(j(A)))))),j(j(j(A)))) -> j(A)
% Current number of equations to process: 352
% Current number of ordered equations: 0
% Current number of rules: 1045
% Rule [2029]
% quotient(t(eta(A),B),j(A)) ->
% t(eta(A),quotient(B,quotient(j(eta(A)),j(j(A))))) is composed into
% [2029] quotient(t(eta(A),B),j(A)) -> t(eta(A),quotient(B,j(j(j(j(j(A)))))))
% New rule produced : [2164] quotient(j(eta(A)),j(j(A))) -> j(j(j(j(j(A)))))
% Rule
% [1361]
% difference(A,quotient(eta(A),quotient(j(eta(A)),j(j(A))))) ->
% quotient(eta(A),j(eta(A))) collapsed.
% Rule [1603] quotient(quotient(j(eta(A)),j(j(A))),j(j(j(A)))) -> j(eta(A))
% collapsed.
% Current number of equations to process: 352
% Current number of ordered equations: 0
% Current number of rules: 1044
% New rule produced :
% [2165]
% difference(A,quotient(eta(A),j(j(j(j(j(A))))))) -> quotient(eta(A),j(eta(A)))
% Current number of equations to process: 351
% Current number of ordered equations: 0
% Current number of rules: 1045
% New rule produced :
% [2166]
% quotient(quotient(j(eta(A)),j(j(j(j(A))))),j(j(j(j(j(A)))))) -> j(eta(A))
% Current number of equations to process: 349
% Current number of ordered equations: 0
% Current number of rules: 1046
% New rule produced :
% [2167] difference(t(j(j(A)),eta(A)),j(j(j(j(A))))) -> j(j(A))
% Current number of equations to process: 349
% Current number of ordered equations: 0
% Current number of rules: 1047
% New rule produced : [2168] difference(j(A),i(quotient(A,j(A)))) -> i(A)
% Current number of equations to process: 354
% Current number of ordered equations: 0
% Current number of rules: 1048
% New rule produced :
% [2169] difference(A,i(t(A,i(quotient(A,j(A)))))) -> i(i(A))
% Current number of equations to process: 360
% Current number of ordered equations: 0
% Current number of rules: 1049
% New rule produced :
% [2170] difference(difference(i(A),A),difference(i(quotient(A,j(A))),A)) -> A
% Current number of equations to process: 359
% Current number of ordered equations: 0
% Current number of rules: 1050
% New rule produced :
% [2171]
% difference(quotient(A,B),difference(difference(A,t(quotient(A,B),B)),A)) -> A
% Current number of equations to process: 358
% Current number of ordered equations: 0
% Current number of rules: 1051
% New rule produced :
% [2172]
% difference(difference(difference(A,B),A),difference(B,A)) ->
% quotient(difference(A,difference(B,A)),difference(B,A))
% Current number of equations to process: 357
% Current number of ordered equations: 0
% Current number of rules: 1052
% New rule produced :
% [2173]
% difference(i(quotient(A,j(A))),difference(difference(i(A),A),i(A))) -> i(A)
% Current number of equations to process: 356
% Current number of ordered equations: 0
% Current number of rules: 1053
% New rule produced :
% [2174]
% difference(quotient(A,quotient(eta(B),quotient(i(A),B))),difference(B,
% quotient(A,B))) ->
% quotient(A,B)
% Current number of equations to process: 359
% Current number of ordered equations: 0
% Current number of rules: 1054
% New rule produced :
% [2175]
% quotient(j(j(j(j(A)))),t(j(j(A)),eta(A))) -> t(t(j(j(A)),eta(A)),j(j(A)))
% Current number of equations to process: 358
% Current number of ordered equations: 0
% Current number of rules: 1055
% New rule produced :
% [2176] difference(i(A),i(t(i(A),i(t(A,i(quotient(A,j(A)))))))) -> i(i(i(A)))
% Current number of equations to process: 357
% Current number of ordered equations: 0
% Current number of rules: 1056
% New rule produced :
% [2177]
% difference(difference(A,t(quotient(A,B),B)),difference(quotient(A,B),
% t(quotient(A,B),B))) ->
% t(quotient(A,B),B)
% Current number of equations to process: 356
% Current number of ordered equations: 0
% Current number of rules: 1057
% New rule produced :
% [2178]
% t(eta(A),quotient(difference(B,j(eta(A))),quotient(eta(A),i(difference(B,
% j(eta(A))))))) ->
% j(eta(A))
% Current number of equations to process: 355
% Current number of ordered equations: 0
% Current number of rules: 1058
% New rule produced :
% [2179]
% difference(t(quotient(A,B),B),difference(difference(A,t(t(quotient(A,B),B),
% quotient(A,B))),A)) ->
% A
% Current number of equations to process: 354
% Current number of ordered equations: 0
% Current number of rules: 1059
% New rule produced :
% [2180]
% difference(i(i(A)),i(t(i(i(A)),i(t(i(A),i(t(A,i(quotient(A,j(A)))))))))) ->
% i(i(i(i(A))))
% Current number of equations to process: 353
% Current number of ordered equations: 0
% Current number of rules: 1060
% New rule produced :
% [2181]
% difference(quotient(eta(difference(C,B)),quotient(i(A),difference(C,B))),
% difference(difference(B,C),B)) ->
% quotient(difference(A,quotient(difference(i(B),difference(difference(B,C),B)),B)),
% difference(C,B))
% Current number of equations to process: 352
% Current number of ordered equations: 0
% Current number of rules: 1061
% New rule produced :
% [2182]
% difference(difference(B,A),quotient(eta(difference(difference(A,B),A)),
% quotient(j(eta(difference(B,A))),difference(
% difference(A,B),A))))
% -> quotient(difference(i(A),j(quotient(i(A),eta(difference(B,A))))),A)
% Current number of equations to process: 351
% Current number of ordered equations: 0
% Current number of rules: 1062
% New rule produced :
% [2183]
% difference(t(t(quotient(A,B),B),quotient(A,B)),difference(difference(A,
% t(t(t(quotient(A,B),B),
% quotient(A,B)),
% t(quotient(A,B),B))),A))
% -> A
% Current number of equations to process: 350
% Current number of ordered equations: 0
% Current number of rules: 1063
% New rule produced :
% [2184]
% difference(difference(A,t(t(quotient(A,B),B),quotient(A,B))),difference(
% t(quotient(A,B),B),
% t(t(quotient(A,B),B),
% quotient(A,B))))
% -> t(t(quotient(A,B),B),quotient(A,B))
% Current number of equations to process: 349
% Current number of ordered equations: 0
% Current number of rules: 1064
% New rule produced :
% [2185] difference(j(j(A)),difference(j(j(j(A))),eta(A))) -> eta(A)
% Current number of equations to process: 352
% Current number of ordered equations: 0
% Current number of rules: 1065
% New rule produced :
% [2186]
% difference(i(quotient(j(A),j(j(A)))),difference(difference(A,j(A)),A)) -> A
% Current number of equations to process: 355
% Current number of ordered equations: 0
% Current number of rules: 1066
% Rule [1756]
% quotient(quotient(eta(A),quotient(i(quotient(eta(quotient(B,j(B))),
% quotient(i(B),quotient(B,j(B))))),A)),B)
% ->
% quotient(quotient(eta(A),quotient(i(quotient(quotient(B,j(B)),t(
% quotient(B,
% j(B)),
% j(B)))),A)),B) is composed into
% [1756]
% quotient(quotient(eta(A),quotient(i(quotient(eta(quotient(B,j(B))),quotient(
% i(B),
% quotient(B,
% j(B))))),A)),B)
% ->
% quotient(quotient(eta(A),quotient(i(quotient(quotient(B,j(B)),i(B))),A)),B)
% New rule produced : [2187] t(quotient(A,j(A)),j(A)) -> i(A)
% Rule
% [912]
% quotient(quotient(quotient(A,j(A)),t(quotient(A,j(A)),j(A))),A) ->
% quotient(A,j(A)) collapsed.
% Rule [1045] t(A,t(quotient(A,j(A)),j(A))) -> j(A) collapsed.
% Rule [1124] j(t(quotient(A,j(A)),j(A))) -> A collapsed.
% Rule
% [1366] quotient(eta(A),i(t(quotient(eta(A),j(eta(A))),j(eta(A))))) -> one
% collapsed.
% Rule
% [1846]
% quotient(difference(A,quotient(difference(i(quotient(A,j(A))),A),quotient(A,
% j(A)))),
% t(quotient(A,j(A)),j(A))) ->
% quotient(t(A,quotient(eta(t(quotient(A,j(A)),j(A))),quotient(i(A),t(quotient(A,
% j(A)),
% j(A))))),
% t(quotient(A,j(A)),j(A))) collapsed.
% Rule [1956] quotient(t(quotient(eta(A),j(eta(A))),j(eta(A))),i(A)) -> j(j(A))
% collapsed.
% Rule
% [2088]
% quotient(quotient(A,j(A)),quotient(eta(quotient(A,j(A))),t(quotient(A,j(A)),
% j(A)))) -> A
% collapsed.
% Rule
% [2089]
% difference(t(quotient(A,j(A)),A),quotient(quotient(A,j(A)),t(quotient(A,j(A)),
% j(A)))) ->
% quotient(A,j(A)) collapsed.
% Rule
% [2090]
% quotient(t(quotient(A,j(A)),j(A)),quotient(A,quotient(quotient(A,j(A)),
% t(quotient(A,j(A)),j(A))))) -> A
% collapsed.
% Rule
% [2092]
% quotient(quotient(quotient(A,j(A)),t(quotient(A,j(A)),j(A))),t(quotient(A,
% j(A)),A)) ->
% t(t(quotient(A,j(A)),A),quotient(A,j(A))) collapsed.
% Rule
% [2093]
% difference(t(t(quotient(A,j(A)),A),quotient(A,j(A))),quotient(quotient(A,
% j(A)),t(
% quotient(A,
% j(A)),
% j(A))))
% -> t(quotient(A,j(A)),A) collapsed.
% Rule
% [2094]
% quotient(quotient(quotient(A,j(A)),t(quotient(A,j(A)),j(A))),t(t(quotient(A,
% j(A)),A),
% quotient(A,
% j(A)))) ->
% t(t(t(quotient(A,j(A)),A),quotient(A,j(A))),t(quotient(A,j(A)),A)) collapsed.
% Rule
% [2095]
% quotient(difference(i(quotient(A,j(A))),quotient(difference(i(A),quotient(
% quotient(A,
% j(A)),
% t(quotient(A,
% j(A)),
% j(A)))),A)),
% quotient(A,j(A))) -> quotient(quotient(A,j(A)),t(quotient(A,j(A)),j(A)))
% collapsed.
% Rule
% [2145]
% difference(t(t(t(quotient(A,j(A)),A),quotient(A,j(A))),t(quotient(A,j(A)),A)),
% quotient(quotient(A,j(A)),t(quotient(A,j(A)),j(A)))) ->
% t(t(quotient(A,j(A)),A),quotient(A,j(A))) collapsed.
% Rule
% [2149]
% quotient(quotient(quotient(quotient(A,j(A)),t(quotient(A,j(A)),j(A))),
% quotient(A,quotient(quotient(A,j(A)),t(quotient(A,j(A)),j(A))))),
% quotient(A,j(A))) -> quotient(quotient(A,j(A)),t(quotient(A,j(A)),j(A)))
% collapsed.
% Current number of equations to process: 376
% Current number of ordered equations: 0
% Current number of rules: 1052
% Rule [1576]
% quotient(difference(i(i(quotient(A,j(A)))),quotient(eta(A),i(i(quotient(A,
% j(A)))))),
% i(quotient(A,j(A)))) ->
% difference(A,quotient(eta(A),quotient(j(eta(A)),i(A)))) is composed into
% [1576]
% quotient(difference(i(i(quotient(A,j(A)))),quotient(eta(A),i(i(quotient(A,
% j(A)))))),
% i(quotient(A,j(A)))) -> difference(A,quotient(eta(A),j(j(A))))
% New rule produced : [2188] quotient(j(eta(A)),i(A)) -> j(j(A))
% Rule [2080] quotient(quotient(i(A),quotient(j(eta(A)),i(A))),j(A)) -> i(A)
% collapsed.
% Rule
% [2081]
% quotient(quotient(j(eta(A)),j(A)),quotient(j(eta(A)),i(A))) -> j(eta(A))
% collapsed.
% Current number of equations to process: 376
% Current number of ordered equations: 0
% Current number of rules: 1051
% New rule produced :
% [2189] quotient(quotient(quotient(A,j(A)),i(A)),A) -> quotient(A,j(A))
% Current number of equations to process: 379
% Current number of ordered equations: 0
% Current number of rules: 1052
% New rule produced :
% [2190] quotient(quotient(j(eta(A)),j(A)),j(j(A))) -> j(eta(A))
% Current number of equations to process: 378
% Current number of ordered equations: 0
% Current number of rules: 1053
% New rule produced :
% [2191] quotient(i(A),quotient(A,quotient(quotient(A,j(A)),i(A)))) -> A
% Current number of equations to process: 392
% Current number of ordered equations: 0
% Current number of rules: 1054
% New rule produced :
% [2192]
% quotient(quotient(A,j(A)),j(quotient(i(A),eta(quotient(A,j(A)))))) -> A
% Current number of equations to process: 392
% Current number of ordered equations: 0
% Current number of rules: 1055
% New rule produced :
% [2193]
% quotient(A,quotient(eta(difference(B,A)),quotient(i(A),difference(B,A)))) <->
% difference(A,B)
% Current number of equations to process: 391
% Current number of ordered equations: 1
% Current number of rules: 1056
% Rule [2127]
% difference(quotient(eta(t(eta(B),C)),quotient(i(A),i(t(eta(B),C)))),
% t(eta(B),V_3)) <->
% quotient(difference(A,t(eta(B),quotient(difference(i(difference(
% i(C),V_3)),V_3),
% difference(i(C),V_3)))),i(t(eta(B),C))) is composed into
% [2127]
% difference(quotient(eta(t(eta(B),C)),quotient(i(A),i(t(eta(B),C)))),t(
% eta(B),V_3))
% <->
% quotient(difference(A,t(eta(B),quotient(quotient(i(difference(i(C),V_3)),
% quotient(eta(difference(V_3,i(
% difference(
% i(C),V_3)))),
% quotient(i(i(difference(i(C),V_3))),
% difference(V_3,i(difference(i(C),V_3)))))),
% difference(i(C),V_3)))),i(t(eta(B),C)))
% Rule [2116]
% difference(j(eta(A)),i(i(i(i(A))))) -> t(eta(A),difference(j(eta(A)),A)) is composed into
% [2116]
% difference(j(eta(A)),i(i(i(i(A))))) ->
% t(eta(A),quotient(j(eta(A)),quotient(eta(difference(A,j(eta(A)))),quotient(
% i(j(eta(A))),
% difference(A,
% j(eta(A)))))))
% Rule [2104]
% difference(quotient(eta(t(eta(B),C)),quotient(i(A),j(t(eta(B),C)))),
% t(eta(B),V_3)) <->
% quotient(difference(A,t(eta(B),quotient(difference(i(difference(
% j(C),V_3)),V_3),
% difference(j(C),V_3)))),j(t(eta(B),C))) is composed into
% [2104]
% difference(quotient(eta(t(eta(B),C)),quotient(i(A),j(t(eta(B),C)))),t(
% eta(B),V_3))
% <->
% quotient(difference(A,t(eta(B),quotient(quotient(i(difference(j(C),V_3)),
% quotient(eta(difference(V_3,i(
% difference(
% j(C),V_3)))),
% quotient(i(i(difference(j(C),V_3))),
% difference(V_3,i(difference(j(C),V_3)))))),
% difference(j(C),V_3)))),j(t(eta(B),C)))
% Rule [1939]
% difference(quotient(A,j(A)),quotient(A,t(eta(B),quotient(quotient(
% difference(
% quotient(
% eta(B),
% i(C)),quotient(
% j(
% quotient(
% i(
% quotient(
% eta(
% quotient(A,
% j(
% eta(B)))),
% quotient(
% j(B),
% quotient(A,
% j(
% eta(B)))))),
% j(
% eta(B)))),
% j(
% j(B)))),
% quotient(
% j(quotient(
% i(quotient(
% eta(
% quotient(A,
% j(eta(B)))),
% quotient(
% j(B),
% quotient(A,
% j(eta(B)))))),
% j(eta(B)))),
% j(j(B)))),
% quotient(j(quotient(
% i(quotient(
% eta(
% quotient(A,
% j(eta(B)))),
% quotient(
% j(B),
% quotient(A,
% j(eta(B)))))),
% j(eta(B)))),
% j(j(B))))))) <->
% difference(quotient(A,j(A)),quotient(A,t(eta(B),quotient(quotient(
% quotient(
% difference(C,
% quotient(
% j(quotient(
% i(quotient(
% eta(
% quotient(
% quotient(
% difference(
% i(quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(
% j(B)))),A),
% quotient(
% j(quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(j(B)))),
% j(eta(B)))),
% quotient(
% j(B),
% quotient(
% quotient(
% difference(
% i(quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(
% j(B)))),A),
% quotient(
% j(quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(j(B)))),
% j(eta(B)))))),
% j(eta(B)))),
% j(j(B)))),
% eta(B)),
% quotient(
% j(quotient(
% i(quotient(
% eta(
% quotient(A,
% j(eta(B)))),
% quotient(
% j(B),
% quotient(A,
% j(eta(B)))))),
% j(eta(B)))),
% j(j(B)))),
% quotient(j(quotient(
% i(quotient(
% eta(
% quotient(A,
% j(eta(B)))),
% quotient(
% j(B),
% quotient(A,
% j(eta(B)))))),
% j(eta(B)))),
% j(j(B))))))) is composed into
% [1939]
% difference(quotient(A,j(A)),quotient(A,t(eta(B),quotient(quotient(difference(
% quotient(
% eta(B),
% i(C)),
% quotient(
% j(quotient(
% i(
% quotient(
% eta(
% quotient(A,
% j(
% eta(B)))),
% quotient(
% j(B),
% quotient(A,
% j(
% eta(B)))))),
% j(
% eta(B)))),
% j(j(B)))),
% quotient(j(quotient(
% i(
% quotient(
% eta(
% quotient(A,
% j(
% eta(B)))),
% quotient(
% j(B),
% quotient(A,
% j(
% eta(B)))))),
% j(
% eta(B)))),
% j(j(B)))),quotient(
% j(
% quotient(
% i(
% quotient(
% eta(
% quotient(A,
% j(
% eta(B)))),
% quotient(
% j(B),
% quotient(A,
% j(
% eta(B)))))),
% j(
% eta(B)))),
% j(
% j(B)))))))
% <->
% difference(quotient(A,j(A)),quotient(A,t(eta(B),quotient(quotient(quotient(
% difference(C,
% quotient(
% j(quotient(
% i(
% quotient(
% eta(
% quotient(
% quotient(
% quotient(
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(
% j(B)))),
% quotient(
% eta(
% difference(A,
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(
% j(B)))))),
% quotient(
% i(
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(
% j(B))))),
% difference(A,
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(
% j(B)))))))),
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(
% j(B)))),
% j(
% eta(B)))),
% quotient(
% j(B),
% quotient(
% quotient(
% quotient(
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(
% j(B)))),
% quotient(
% eta(
% difference(A,
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(
% j(B)))))),
% quotient(
% i(
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(
% j(B))))),
% difference(A,
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(
% j(B)))))))),
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(
% j(B)))),
% j(
% eta(B)))))),
% j(
% eta(B)))),
% j(j(B)))),
% eta(B)),
% quotient(j(quotient(
% i(
% quotient(
% eta(
% quotient(A,
% j(
% eta(B)))),
% quotient(
% j(B),
% quotient(A,
% j(
% eta(B)))))),
% j(
% eta(B)))),
% j(j(B)))),quotient(
% j(
% quotient(
% i(
% quotient(
% eta(
% quotient(A,
% j(
% eta(B)))),
% quotient(
% j(B),
% quotient(A,
% j(
% eta(B)))))),
% j(
% eta(B)))),
% j(
% j(B)))))))
% Rule [1914]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% quotient(
% i(B),
% i(
% i(
% i(i(A))))),
% eta(A)),
% eta(A)))) ->
% quotient(eta(difference(quotient(eta(A),j(eta(A))),i(i(i(i(i(i(i(i(A)))))))))),
% quotient(i(B),difference(quotient(eta(A),j(eta(A))),i(i(i(i(i(i(i(i(A))))))))))) is composed into
% [1914]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% quotient(
% i(B),i(
% i(
% i(i(A))))),
% eta(A)),
% eta(A)))) ->
% quotient(eta(quotient(quotient(eta(A),j(eta(A))),quotient(eta(difference(
% i(i(i(i(
% i(
% i(
% i(i(A)))))))),
% quotient(
% eta(A),
% j(eta(A))))),
% quotient(i(quotient(
% eta(A),j(eta(A)))),
% difference(i(i(i(i(i(
% i(
% i(i(A)))))))),
% quotient(eta(A),j(eta(A)))))))),
% quotient(i(B),quotient(quotient(eta(A),j(eta(A))),quotient(eta(difference(
% i(i(i(
% i(
% i(
% i(
% i(i(A)))))))),
% quotient(
% eta(A),
% j(eta(A))))),
% quotient(i(quotient(
% eta(A),j(eta(A)))),
% difference(i(i(i(i(
% i(
% i(
% i(i(A)))))))),
% quotient(eta(A),j(eta(A)))))))))
% Rule [1885]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% quotient(
% i(B),
% i(
% i(A))),
% eta(A)),
% eta(A)))) ->
% quotient(eta(difference(quotient(eta(A),j(eta(A))),i(i(i(i(i(i(A)))))))),
% quotient(i(B),difference(quotient(eta(A),j(eta(A))),i(i(i(i(i(i(A))))))))) is composed into
% [1885]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% quotient(
% i(B),i(i(A))),
% eta(A)),
% eta(A)))) ->
% quotient(eta(quotient(quotient(eta(A),j(eta(A))),quotient(eta(difference(
% i(i(i(i(
% i(i(A)))))),
% quotient(
% eta(A),
% j(eta(A))))),
% quotient(i(quotient(
% eta(A),j(eta(A)))),
% difference(i(i(i(i(i(i(A)))))),
% quotient(eta(A),j(eta(A)))))))),
% quotient(i(B),quotient(quotient(eta(A),j(eta(A))),quotient(eta(difference(
% i(i(i(
% i(
% i(i(A)))))),
% quotient(
% eta(A),
% j(eta(A))))),
% quotient(i(quotient(
% eta(A),j(eta(A)))),
% difference(i(i(i(i(i(i(A)))))),
% quotient(eta(A),j(eta(A)))))))))
% Rule [1860]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% quotient(
% i(B),
% i(A)),
% eta(A)),
% eta(A)))) ->
% quotient(eta(difference(quotient(eta(A),j(eta(A))),i(i(i(i(i(A))))))),
% quotient(i(B),difference(quotient(eta(A),j(eta(A))),i(i(i(i(i(A)))))))) is composed into
% [1860]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% quotient(
% i(B),i(A)),
% eta(A)),
% eta(A)))) ->
% quotient(eta(quotient(quotient(eta(A),j(eta(A))),quotient(eta(difference(
% i(i(i(i(i(A))))),
% quotient(
% eta(A),
% j(eta(A))))),
% quotient(i(quotient(
% eta(A),j(eta(A)))),
% difference(i(i(i(i(i(A))))),
% quotient(eta(A),j(eta(A)))))))),
% quotient(i(B),quotient(quotient(eta(A),j(eta(A))),quotient(eta(difference(
% i(i(i(i(i(A))))),
% quotient(
% eta(A),
% j(eta(A))))),
% quotient(i(quotient(
% eta(A),j(eta(A)))),
% difference(i(i(i(i(i(A))))),
% quotient(eta(A),j(eta(A)))))))))
% Rule [1840]
% quotient(quotient(quotient(eta(difference(quotient(quotient(eta(B),
% quotient(i(quotient(
% eta(C),
% quotient(
% i(A),C))),B)),A),V_3)),
% quotient(i(quotient(eta(A),quotient(i(quotient(
% quotient(
% eta(B),quotient(
% i(
% quotient(
% eta(C),
% quotient(
% i(A),C))),B)),A)),A))),
% difference(quotient(quotient(eta(B),quotient(i(
% quotient(
% eta(C),
% quotient(
% i(A),C))),B)),A),V_3))),
% quotient(quotient(eta(B),quotient(i(quotient(eta(C),quotient(
% i(A),C))),B)),A)),A)
% <->
% quotient(quotient(eta(difference(quotient(eta(quotient(eta(A),quotient(
% i(B),A))),
% quotient(i(C),quotient(eta(A),quotient(
% i(B),A)))),A)),
% quotient(i(quotient(eta(V_3),quotient(i(quotient(eta(quotient(
% eta(A),
% quotient(
% i(B),A))),
% quotient(i(C),quotient(
% eta(A),
% quotient(
% i(B),A))))),V_3))),
% difference(quotient(eta(quotient(eta(A),quotient(i(B),A))),
% quotient(i(C),quotient(eta(A),quotient(i(B),A)))),A))),
% quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(i(C),quotient(
% eta(A),
% quotient(
% i(B),A))))) is composed into
% [1840]
% quotient(quotient(quotient(eta(difference(quotient(quotient(eta(B),quotient(
% i(
% quotient(
% eta(C),
% quotient(
% i(A),C))),B)),A),V_3)),
% quotient(i(quotient(eta(A),quotient(i(quotient(quotient(
% eta(B),
% quotient(
% i(quotient(
% eta(C),
% quotient(
% i(A),C))),B)),A)),A))),
% difference(quotient(quotient(eta(B),quotient(i(quotient(
% eta(C),
% quotient(
% i(A),C))),B)),A),V_3))),
% quotient(quotient(eta(B),quotient(i(quotient(eta(C),quotient(i(A),C))),B)),A)),A)
% ->
% quotient(quotient(eta(quotient(quotient(eta(quotient(eta(A),quotient(i(B),A))),
% quotient(i(C),quotient(eta(A),quotient(i(B),A)))),
% quotient(eta(difference(A,quotient(eta(quotient(
% eta(A),quotient(
% i(B),A))),
% quotient(i(C),quotient(
% eta(A),
% quotient(
% i(B),A)))))),
% quotient(i(quotient(eta(quotient(eta(A),quotient(
% i(B),A))),
% quotient(i(C),quotient(eta(A),quotient(
% i(B),A))))),
% difference(A,quotient(eta(quotient(eta(A),quotient(
% i(B),A))),
% quotient(i(C),quotient(eta(A),quotient(
% i(B),A))))))))),
% quotient(i(quotient(eta(V_3),quotient(i(quotient(eta(quotient(
% eta(A),
% quotient(
% i(B),A))),
% quotient(i(C),quotient(
% eta(A),
% quotient(
% i(B),A))))),V_3))),
% quotient(quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(
% i(C),
% quotient(
% eta(A),
% quotient(
% i(B),A)))),
% quotient(eta(difference(A,quotient(eta(quotient(eta(A),quotient(
% i(B),A))),
% quotient(i(C),quotient(eta(A),quotient(
% i(B),A)))))),
% quotient(i(quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(
% i(C),
% quotient(
% eta(A),
% quotient(
% i(B),A))))),
% difference(A,quotient(eta(quotient(eta(A),quotient(i(B),A))),
% quotient(i(C),quotient(eta(A),quotient(i(B),A)))))))))),
% quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(i(C),quotient(
% eta(A),
% quotient(
% i(B),A)))))
% Rule [1837]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% quotient(
% i(B),A),
% eta(A)),
% eta(A)))) ->
% quotient(eta(difference(quotient(eta(A),j(eta(A))),i(i(i(i(A)))))),
% quotient(i(B),difference(quotient(eta(A),j(eta(A))),i(i(i(i(A))))))) is composed into
% [1837]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% quotient(
% i(B),A),
% eta(A)),
% eta(A)))) ->
% quotient(eta(quotient(quotient(eta(A),j(eta(A))),quotient(eta(difference(
% i(i(i(i(A)))),
% quotient(
% eta(A),
% j(eta(A))))),
% quotient(i(quotient(
% eta(A),j(eta(A)))),
% difference(i(i(i(i(A)))),
% quotient(eta(A),j(eta(A)))))))),
% quotient(i(B),quotient(quotient(eta(A),j(eta(A))),quotient(eta(difference(
% i(i(i(i(A)))),
% quotient(
% eta(A),
% j(eta(A))))),
% quotient(i(quotient(
% eta(A),j(eta(A)))),
% difference(i(i(i(i(A)))),
% quotient(eta(A),j(eta(A)))))))))
% Rule [1824]
% difference(j(quotient(i(A),eta(C))),eta(B)) <->
% quotient(difference(A,quotient(difference(i(quotient(eta(quotient(
% eta(B),
% quotient(
% j(eta(C)),B))),
% eta(C))),eta(B)),quotient(
% eta(
% quotient(
% eta(B),
% quotient(
% j(eta(C)),B))),
% eta(C)))),
% eta(C)) is composed into [1824]
% difference(j(quotient(i(A),eta(C))),eta(B)) <->
% quotient(difference(A,quotient(quotient(
% i(quotient(
% eta(quotient(
% eta(B),
% quotient(
% j(
% eta(C)),B))),
% eta(C))),
% quotient(
% eta(difference(
% eta(B),
% i(quotient(
% eta(
% quotient(
% eta(B),
% quotient(
% j(
% eta(C)),B))),
% eta(C))))),
% quotient(
% i(i(quotient(
% eta(
% quotient(
% eta(B),
% quotient(
% j(eta(C)),B))),
% eta(C)))),
% difference(
% eta(B),i(
% quotient(
% eta(
% quotient(
% eta(B),
% quotient(
% j(
% eta(C)),B))),
% eta(C))))))),
% quotient(eta(quotient(
% eta(B),
% quotient(
% j(eta(C)),B))),
% eta(C)))),eta(C))
% Rule [1630]
% difference(j(quotient(i(A),j(eta(B)))),t(eta(B),C)) <->
% quotient(difference(A,t(eta(B),quotient(difference(i(difference(
% j(eta(B)),C)),C),
% difference(j(eta(B)),C)))),j(eta(B))) is composed into
% [1630]
% difference(j(quotient(i(A),j(eta(B)))),t(eta(B),C)) <->
% quotient(difference(A,t(eta(B),quotient(quotient(i(difference(j(eta(B)),C)),
% quotient(eta(difference(C,i(difference(
% j(
% eta(B)),C)))),
% quotient(i(i(difference(j(eta(B)),C))),
% difference(C,i(difference(j(eta(B)),C)))))),
% difference(j(eta(B)),C)))),j(eta(B)))
% Rule [1593]
% quotient(t(eta(A),B),difference(j(quotient(i(C),eta(A))),V_3)) <->
% t(eta(A),quotient(B,quotient(j(quotient(i(quotient(eta(difference(C,
% quotient(
% difference(
% i(quotient(
% j(quotient(
% i(quotient(
% eta(V_3),
% quotient(
% j(A),V_3))),
% j(eta(A)))),
% j(j(A)))),V_3),
% quotient(
% j(quotient(
% i(quotient(
% eta(V_3),
% quotient(
% j(A),V_3))),
% j(eta(A)))),
% j(j(A)))))),
% quotient(j(A),difference(C,
% quotient(
% difference(
% i(quotient(
% j(quotient(
% i(quotient(
% eta(V_3),
% quotient(
% j(A),V_3))),
% j(eta(A)))),
% j(j(A)))),V_3),
% quotient(
% j(quotient(
% i(quotient(
% eta(V_3),
% quotient(
% j(A),V_3))),
% j(eta(A)))),
% j(j(A)))))))),
% j(eta(A)))),j(j(A))))) is composed into
% [1593]
% quotient(t(eta(A),B),difference(j(quotient(i(C),eta(A))),V_3)) <->
% t(eta(A),quotient(B,quotient(j(quotient(i(quotient(eta(difference(C,quotient(
% quotient(
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(V_3),
% quotient(
% j(A),V_3))),
% j(
% eta(A)))),
% j(
% j(A)))),
% quotient(
% eta(
% difference(V_3,
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(V_3),
% quotient(
% j(A),V_3))),
% j(
% eta(A)))),
% j(
% j(A)))))),
% quotient(
% i(
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(V_3),
% quotient(
% j(A),V_3))),
% j(
% eta(A)))),
% j(
% j(A))))),
% difference(V_3,
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(V_3),
% quotient(
% j(A),V_3))),
% j(
% eta(A)))),
% j(
% j(A)))))))),
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(V_3),
% quotient(
% j(A),V_3))),
% j(
% eta(A)))),
% j(
% j(A)))))),
% quotient(j(A),difference(C,
% quotient(quotient(
% i(quotient(
% j(
% quotient(
% i(
% quotient(
% eta(V_3),
% quotient(
% j(A),V_3))),
% j(
% eta(A)))),
% j(
% j(A)))),
% quotient(
% eta(
% difference(V_3,
% i(quotient(
% j(
% quotient(
% i(
% quotient(
% eta(V_3),
% quotient(
% j(A),V_3))),
% j(
% eta(A)))),
% j(
% j(A)))))),
% quotient(
% i(i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(V_3),
% quotient(
% j(A),V_3))),
% j(
% eta(A)))),
% j(
% j(A))))),
% difference(V_3,
% i(quotient(
% j(
% quotient(
% i(
% quotient(
% eta(V_3),
% quotient(
% j(A),V_3))),
% j(
% eta(A)))),
% j(
% j(A)))))))),
% quotient(j(quotient(
% i(
% quotient(
% eta(V_3),
% quotient(
% j(A),V_3))),
% j(
% eta(A)))),
% j(j(A)))))))),
% j(eta(A)))),j(j(A)))))
% Rule [1506]
% difference(j(quotient(i(A),eta(C))),t(eta(C),B)) <->
% quotient(difference(A,quotient(difference(i(quotient(B,eta(C))),
% t(eta(C),B)),quotient(B,eta(C)))),
% eta(C)) is composed into [1506]
% difference(j(quotient(i(A),eta(C))),t(eta(C),B))
% <->
% quotient(difference(A,quotient(quotient(
% i(quotient(B,
% eta(C))),
% quotient(
% eta(difference(
% t(eta(C),B),
% i(quotient(B,
% eta(C))))),
% quotient(
% i(i(quotient(B,
% eta(C)))),
% difference(
% t(eta(C),B),
% i(quotient(B,
% eta(C))))))),
% quotient(B,eta(C)))),
% eta(C))
% Rule [1476]
% t(eta(A),difference(quotient(eta(B),quotient(j(eta(A)),B)),C)) <->
% quotient(quotient(quotient(difference(i(difference(B,C)),C),difference(B,C)),
% eta(A)),t(eta(A),B)) is composed into [1476]
% t(eta(A),difference(
% quotient(
% eta(B),quotient(
% j(
% eta(A)),B)),C))
% <->
% quotient(quotient(
% quotient(
% quotient(
% i(difference(B,C)),
% quotient(
% eta(difference(C,
% i(difference(B,C)))),
% quotient(
% i(i(difference(B,C))),
% difference(C,
% i(difference(B,C)))))),
% difference(B,C)),
% eta(A)),
% t(eta(A),B))
% Rule [1407]
% quotient(difference(j(quotient(i(A),j(eta(B)))),C),eta(B)) <->
% difference(A,quotient(difference(i(difference(j(eta(B)),C)),C),difference(
% j(
% eta(B)),C))) is composed into
% [1407]
% quotient(difference(j(quotient(i(A),j(eta(B)))),C),eta(B)) <->
% difference(A,quotient(quotient(i(difference(j(eta(B)),C)),quotient(eta(
% difference(C,
% i(
% difference(
% j(
% eta(B)),C)))),
% quotient(i(
% i(
% difference(
% j(
% eta(B)),C))),
% difference(C,
% i(difference(
% j(eta(B)),C)))))),
% difference(j(eta(B)),C)))
% Rule [1326]
% quotient(t(eta(A),B),difference(C,eta(A))) <->
% t(eta(A),quotient(B,quotient(j(quotient(i(quotient(eta(difference(
% quotient(
% j(quotient(
% i(quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(eta(A)))),
% j(j(A))),
% eta(A))),
% quotient(j(A),difference(
% quotient(
% j(quotient(
% i(quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(eta(A)))),
% j(j(A))),
% eta(A))))),
% j(eta(A)))),j(j(A))))) is composed into
% [1326]
% quotient(t(eta(A),B),difference(C,eta(A))) <->
% t(eta(A),quotient(B,quotient(j(quotient(i(quotient(eta(quotient(quotient(
% j(quotient(
% i(quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(eta(A)))),
% j(j(A))),
% quotient(eta(difference(
% eta(A),
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(
% j(A))))),
% quotient(i(quotient(
% j(quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(j(A)))),
% difference(eta(A),
% quotient(j(quotient(
% i(quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(eta(A)))),
% j(j(A)))))))),
% quotient(j(A),quotient(quotient(
% j(quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(j(A))),
% quotient(eta(
% difference(
% eta(A),
% quotient(
% j(quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(j(A))))),
% quotient(i(quotient(
% j(
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(
% j(A)))),
% difference(eta(A),
% quotient(j(quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(j(A)))))))))),
% j(eta(A)))),j(j(A)))))
% New rule produced :
% [2194]
% difference(A,B) <->
% quotient(A,quotient(eta(difference(B,A)),quotient(i(A),difference(B,A))))
% Rule [36] difference(i(A),eta(A)) -> A collapsed.
% Rule [38] difference(quotient(A,B),A) -> B collapsed.
% Rule [111] difference(t(quotient(A,B),B),A) -> quotient(A,B) collapsed.
% Rule [117] difference(i(i(A)),eta(A)) -> i(A) collapsed.
% Rule [212] difference(i(A),j(A)) -> eta(A) collapsed.
% Rule [231] difference(i(i(i(A))),eta(A)) -> i(i(A)) collapsed.
% Rule [232] quotient(difference(difference(B,A),B),B) -> difference(A,B)
% collapsed.
% Rule [241] difference(i(i(i(i(A)))),eta(A)) -> i(i(i(A))) collapsed.
% Rule
% [304] difference(t(t(quotient(A,B),B),quotient(A,B)),A) -> t(quotient(A,B),B)
% collapsed.
% Rule
% [540]
% quotient(difference(B,quotient(difference(i(difference(A,C)),C),difference(A,C))),A)
% <-> difference(quotient(eta(A),quotient(i(B),A)),C) collapsed.
% Rule
% [563]
% difference(t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B)),A) ->
% t(t(quotient(A,B),B),quotient(A,B)) collapsed.
% Rule [863] difference(j(A),eta(A)) -> j(j(A)) collapsed.
% Rule [875] difference(i(i(A)),A) -> eta(A) collapsed.
% Rule [889] difference(j(A),A) -> i(quotient(j(A),j(j(A)))) collapsed.
% Rule [895] difference(j(j(A)),A) -> j(eta(A)) collapsed.
% Rule [935] difference(t(i(i(i(i(A)))),eta(A)),i(i(A))) -> i(i(i(i(A))))
% collapsed.
% Rule [938] quotient(difference(i(A),A),A) -> A collapsed.
% Rule [949] difference(difference(A,B),difference(difference(B,A),B)) -> B
% collapsed.
% Rule
% [953]
% quotient(difference(difference(A,B),A),difference(B,A)) ->
% t(difference(B,A),A) collapsed.
% Rule
% [954]
% difference(t(difference(A,B),B),difference(difference(B,A),B)) ->
% difference(A,B) collapsed.
% Rule
% [957]
% quotient(difference(difference(A,B),A),t(difference(B,A),A)) ->
% t(t(difference(B,A),A),difference(B,A)) collapsed.
% Rule
% [960]
% quotient(difference(i(i(A)),j(eta(A))),i(A)) ->
% quotient(difference(j(eta(A)),x1),quotient(j(quotient(i(quotient(eta(x1),
% quotient(j(A),x1))),
% j(eta(A)))),j(j(A)))) collapsed.
% Rule
% [973]
% difference(difference(j(eta(B)),A),j(eta(B))) ->
% quotient(difference(A,j(eta(B))),eta(B)) collapsed.
% Rule [988] difference(i(i(i(i(i(A))))),eta(A)) -> i(i(i(i(A)))) collapsed.
% Rule
% [990]
% quotient(difference(quotient(A,eta(B)),eta(B)),eta(B)) ->
% t(eta(B),difference(A,eta(B))) collapsed.
% Rule
% [1072] quotient(difference(i(quotient(A,j(A))),A),A) -> difference(i(A),A)
% collapsed.
% Rule
% [1073] difference(j(t(eta(A),B)),eta(A)) -> t(eta(A),difference(j(B),eta(A)))
% collapsed.
% Rule
% [1074] difference(i(t(eta(A),B)),eta(A)) -> t(eta(A),difference(i(B),eta(A)))
% collapsed.
% Rule [1091] difference(i(i(i(i(i(i(A)))))),eta(A)) -> i(i(i(i(i(A)))))
% collapsed.
% Rule [1109] difference(t(i(i(A)),eta(A)),A) -> i(i(A)) collapsed.
% Rule [1112] difference(quotient(A,j(A)),eta(A)) -> t(A,i(quotient(A,j(A))))
% collapsed.
% Rule
% [1128]
% difference(quotient(A,quotient(B,A)),eta(A)) -> quotient(i(quotient(A,B)),A)
% collapsed.
% Rule [1129] quotient(difference(i(i(A)),j(j(A))),eta(A)) -> eta(A) collapsed.
% Rule
% [1148]
% difference(i(quotient(j(A),j(j(A)))),eta(A)) ->
% quotient(eta(A),i(quotient(j(A),j(j(A))))) collapsed.
% Rule
% [1149]
% difference(i(i(i(A))),i(i(A))) -> quotient(difference(i(A),j(j(A))),eta(A))
% collapsed.
% Rule
% [1150]
% difference(quotient(eta(A),B),i(i(A))) ->
% quotient(difference(j(B),j(j(A))),eta(A)) collapsed.
% Rule
% [1167]
% difference(j(t(eta(A),B)),j(eta(A))) -> t(eta(A),difference(j(B),j(eta(A))))
% collapsed.
% Rule
% [1168]
% difference(i(t(eta(A),B)),j(eta(A))) -> t(eta(A),difference(i(B),j(eta(A))))
% collapsed.
% Rule
% [1192]
% difference(quotient(eta(A),quotient(i(B),A)),j(j(A))) ->
% quotient(difference(B,i(i(A))),A) collapsed.
% Rule [1195] difference(i(i(i(i(i(i(i(A))))))),eta(A)) -> i(i(i(i(i(i(A))))))
% collapsed.
% Rule
% [1213]
% difference(quotient(eta(A),quotient(i(B),A)),t(A,B)) ->
% quotient(difference(A,t(A,B)),t(A,B)) collapsed.
% Rule
% [1247]
% difference(quotient(eta(A),j(eta(A))),i(A)) ->
% quotient(difference(j(j(A)),i(A)),i(A)) collapsed.
% Rule
% [1248] difference(quotient(eta(A),i(i(B))),quotient(eta(A),j(eta(B)))) -> B
% collapsed.
% Rule [1252] difference(quotient(eta(A),j(eta(A))),i(i(i(A)))) -> j(A)
% collapsed.
% Rule [1253] quotient(difference(quotient(A,j(A)),j(j(A))),eta(A)) -> j(A)
% collapsed.
% Rule
% [1268]
% difference(t(quotient(eta(A),j(eta(A))),j(A)),i(i(i(A)))) ->
% quotient(eta(A),j(eta(A))) collapsed.
% Rule
% [1274]
% difference(t(t(difference(A,B),B),difference(A,B)),difference(difference(B,A),B))
% -> t(difference(A,B),B) collapsed.
% Rule
% [1291]
% difference(t(quotient(eta(A),i(i(B))),B),quotient(eta(A),j(eta(B)))) ->
% quotient(eta(A),i(i(B))) collapsed.
% Rule
% [1296]
% difference(quotient(eta(quotient(A,B)),quotient(i(C),quotient(A,B))),A) ->
% quotient(difference(C,quotient(difference(i(B),A),B)),quotient(A,B))
% collapsed.
% Rule
% [1297]
% difference(quotient(eta(B),quotient(i(A),B)),B) ->
% quotient(difference(A,B),B) collapsed.
% Rule
% [1298]
% quotient(quotient(difference(i(difference(A,B)),B),difference(A,B)),A) ->
% difference(A,B) collapsed.
% Rule
% [1299]
% difference(j(quotient(i(A),eta(B))),i(i(B))) ->
% quotient(difference(A,j(j(B))),eta(B)) collapsed.
% Rule
% [1301]
% difference(t(quotient(eta(A),i(quotient(A,j(A)))),j(A)),i(i(A))) ->
% quotient(eta(A),i(quotient(A,j(A)))) collapsed.
% Rule
% [1305]
% difference(quotient(eta(A),quotient(i(quotient(difference(i(difference(A,B)),B),
% difference(A,B))),A)),B) -> j(A)
% collapsed.
% Rule
% [1348]
% difference(quotient(eta(B),quotient(i(A),i(B))),j(B)) ->
% quotient(difference(A,quotient(i(B),eta(B))),i(B)) collapsed.
% Rule
% [1365]
% quotient(quotient(eta(A),j(eta(B))),quotient(difference(i(quotient(eta(A),
% j(eta(B)))),
% eta(B)),eta(B))) -> one
% collapsed.
% Rule
% [1371]
% quotient(difference(quotient(quotient(quotient(A,i(B)),B),i(B)),i(B)),i(B))
% -> difference(quotient(eta(B),i(t(i(B),A))),i(B)) collapsed.
% Rule
% [1374] difference(i(i(i(i(i(i(i(i(A)))))))),eta(A)) -> i(i(i(i(i(i(i(A)))))))
% collapsed.
% Rule
% [1396]
% quotient(difference(quotient(quotient(eta(A),quotient(i(B),A)),i(A)),i(A)),
% i(A)) -> difference(quotient(eta(A),i(quotient(B,i(A)))),i(A)) collapsed.
% Rule
% [1400]
% difference(quotient(eta(B),quotient(i(quotient(quotient(difference(i(
% difference(B,C)),C),
% difference(B,C)),A)),B)),C) ->
% quotient(A,B) collapsed.
% Rule
% [1403]
% difference(t(t(i(i(i(i(A)))),eta(A)),i(i(i(i(A))))),i(i(A))) ->
% t(i(i(i(i(A)))),eta(A)) collapsed.
% Rule
% [1406]
% difference(A,quotient(difference(i(difference(j(eta(B)),C)),C),difference(
% j(eta(B)),C)))
% <-> quotient(difference(j(quotient(i(A),j(eta(B)))),C),eta(B)) collapsed.
% Rule
% [1414] difference(quotient(eta(A),i(B)),quotient(eta(A),j(eta(B)))) -> j(B)
% collapsed.
% Rule
% [1417]
% difference(t(quotient(eta(A),i(B)),j(B)),quotient(eta(A),j(eta(B)))) ->
% quotient(eta(A),i(B)) collapsed.
% Rule
% [1429]
% difference(difference(quotient(eta(A),quotient(i(B),A)),C),difference(B,
% quotient(difference(
% i(
% difference(A,C)),C),
% difference(A,C))))
% -> A collapsed.
% Rule
% [1430]
% quotient(difference(difference(A,B),A),t(t(difference(B,A),A),difference(B,A)))
% -> t(t(t(difference(B,A),A),difference(B,A)),t(difference(B,A),A)) collapsed.
% Rule [1432] difference(j(j(A)),eta(A)) -> j(j(j(A))) collapsed.
% Rule
% [1445]
% quotient(quotient(i(i(A)),quotient(eta(difference(i(A),A)),quotient(i(
% i(i(A))),
% difference(
% i(A),A)))),
% i(A)) -> j(A) collapsed.
% Rule
% [1446]
% quotient(difference(i(quotient(A,i(B))),quotient(i(B),difference(quotient(A,
% i(B)),
% j(B)))),quotient(A,
% i(B))) ->
% quotient(A,j(B)) collapsed.
% Rule
% [1457]
% quotient(quotient(difference(difference(A,B),A),quotient(difference(B,A),
% difference(difference(A,B),A))),
% t(difference(B,A),A)) -> difference(difference(A,B),A) collapsed.
% Rule
% [1470]
% difference(quotient(eta(B),quotient(i(A),B)),i(B)) ->
% quotient(difference(A,j(B)),B) collapsed.
% Rule
% [1473]
% quotient(difference(quotient(difference(A,j(j(B))),eta(B)),quotient(eta(B),
% i(A))),quotient(
% eta(B),
% i(A))) ->
% difference(i(i(B)),quotient(eta(B),i(A))) collapsed.
% Rule
% [1474]
% quotient(eta(A),i(quotient(B,quotient(quotient(difference(i(quotient(
% eta(A),i(B))),B),B),
% quotient(eta(A),i(B)))))) ->
% quotient(eta(A),i(B)) collapsed.
% Rule
% [1477]
% quotient(quotient(quotient(difference(i(difference(B,C)),C),difference(B,C)),
% eta(A)),t(eta(A),B)) <->
% t(eta(A),difference(quotient(eta(B),quotient(j(eta(A)),B)),C)) collapsed.
% Rule
% [1496]
% difference(t(t(quotient(eta(A),i(B)),j(B)),quotient(eta(A),i(B))),quotient(
% eta(A),
% j(eta(B))))
% -> t(quotient(eta(A),i(B)),j(B)) collapsed.
% Rule
% [1501]
% difference(quotient(eta(difference(C,B)),quotient(i(A),difference(C,B))),
% quotient(difference(i(difference(C,B)),B),difference(C,B))) ->
% quotient(difference(A,B),difference(C,B)) collapsed.
% Rule
% [1503]
% quotient(eta(A),i(quotient(quotient(B,j(quotient(eta(A),i(B)))),quotient(
% difference(
% i(quotient(
% eta(A),
% i(B))),B),B))))
% -> quotient(eta(A),i(B)) collapsed.
% Rule
% [1504]
% difference(t(t(quotient(eta(A),j(eta(A))),j(A)),quotient(eta(A),j(eta(A)))),
% i(i(i(A)))) -> t(quotient(eta(A),j(eta(A))),j(A)) collapsed.
% Rule
% [1505]
% quotient(difference(A,quotient(difference(i(quotient(B,eta(C))),t(eta(C),B)),
% quotient(B,eta(C)))),eta(C)) <->
% difference(j(quotient(i(A),eta(C))),t(eta(C),B)) collapsed.
% Rule
% [1507]
% difference(quotient(eta(B),quotient(i(A),i(B))),quotient(eta(B),j(eta(B))))
% ->
% quotient(difference(A,quotient(difference(j(B),quotient(eta(B),j(eta(B)))),
% j(j(B)))),i(B)) collapsed.
% Rule
% [1508]
% difference(t(t(t(difference(A,B),B),difference(A,B)),t(difference(A,B),B)),
% difference(difference(B,A),B)) -> t(t(difference(A,B),B),difference(A,B))
% collapsed.
% Rule
% [1521]
% difference(t(t(quotient(eta(A),i(i(B))),B),quotient(eta(A),i(i(B)))),
% quotient(eta(A),j(eta(B)))) -> t(quotient(eta(A),i(i(B))),B) collapsed.
% Rule
% [1524]
% quotient(difference(i(i(quotient(A,j(A)))),i(A)),i(quotient(A,j(A)))) -> j(A)
% collapsed.
% Rule
% [1526]
% quotient(difference(i(i(i(i(A)))),j(eta(A))),i(i(i(A)))) ->
% quotient(eta(A),j(eta(A))) collapsed.
% Rule
% [1530]
% quotient(difference(i(t(A,i(quotient(A,j(A))))),j(A)),t(A,i(quotient(A,j(A)))))
% -> i(A) collapsed.
% Rule
% [1534]
% quotient(difference(i(difference(A,B)),quotient(difference(i(B),difference(
% difference(B,A),B)),B)),
% difference(A,B)) -> difference(difference(B,A),B) collapsed.
% Rule
% [1538]
% quotient(difference(i(t(quotient(A,B),B)),quotient(difference(i(quotient(A,B)),A),
% quotient(A,B))),t(quotient(A,B),B))
% -> A collapsed.
% Rule
% [1558]
% difference(quotient(eta(t(quotient(B,C),C)),quotient(i(A),t(quotient(B,C),C))),B)
% ->
% quotient(difference(A,quotient(difference(i(quotient(B,C)),B),quotient(B,C))),
% t(quotient(B,C),C)) collapsed.
% Rule
% [1559]
% quotient(quotient(A,difference(quotient(eta(A),quotient(i(B),A)),C)),
% quotient(A,difference(B,quotient(difference(i(difference(A,C)),C),difference(A,C)))))
% -> A collapsed.
% Rule
% [1565]
% t(quotient(quotient(difference(i(quotient(eta(A),i(B))),B),B),quotient(
% eta(A),
% i(B))),
% quotient(eta(A),i(B))) -> quotient(difference(i(quotient(eta(A),i(B))),B),B)
% collapsed.
% Rule
% [1566]
% quotient(difference(i(quotient(quotient(difference(i(A),B),A),quotient(B,A))),B),
% quotient(quotient(difference(i(A),B),A),quotient(B,A))) ->
% quotient(difference(i(A),B),A) collapsed.
% Rule
% [1567]
% quotient(quotient(eta(difference(t(A,B),A)),quotient(i(quotient(eta(B),
% quotient(i(t(A,B)),B))),
% difference(t(A,B),A))),t(A,B)) ->
% A collapsed.
% Rule
% [1572]
% t(quotient(difference(i(quotient(eta(A),i(B))),B),B),quotient(quotient(
% difference(
% i(quotient(
% eta(A),
% i(B))),B),B),
% quotient(eta(A),
% i(B)))) -> one
% collapsed.
% Rule
% [1591]
% j(t(quotient(eta(A),i(quotient(eta(B),quotient(i(quotient(eta(A),i(B))),B)))),
% quotient(difference(quotient(eta(A),i(B)),B),B))) -> quotient(eta(A),i(B))
% collapsed.
% Rule
% [1617]
% difference(A,quotient(difference(j(eta(A)),x1),quotient(j(quotient(i(
% quotient(
% eta(x1),
% quotient(
% j(A),x1))),
% j(eta(A)))),
% j(j(A))))) -> j(j(j(A)))
% collapsed.
% Rule
% [1629]
% difference(quotient(eta(A),quotient(i(t(quotient(quotient(difference(
% i(difference(A,B)),B),
% difference(A,B)),C),C)),A)),B)
% ->
% quotient(quotient(quotient(difference(i(difference(A,B)),B),difference(A,B)),C),A)
% collapsed.
% Rule
% [1631]
% quotient(difference(A,t(eta(B),quotient(difference(i(difference(j(eta(B)),C)),C),
% difference(j(eta(B)),C)))),j(eta(B))) <->
% difference(j(quotient(i(A),j(eta(B)))),t(eta(B),C)) collapsed.
% Rule
% [1643]
% difference(t(t(quotient(eta(A),i(quotient(A,j(A)))),j(A)),quotient(eta(A),
% i(quotient(A,j(A))))),
% i(i(A))) -> t(quotient(eta(A),i(quotient(A,j(A)))),j(A)) collapsed.
% Rule
% [1646]
% quotient(difference(difference(i(i(B)),A),i(i(B))),B) <->
% quotient(difference(i(difference(A,i(i(B)))),quotient(eta(B),i(difference(A,
% i(i(B)))))),
% difference(A,i(i(B)))) collapsed.
% Rule
% [1648]
% quotient(quotient(eta(A),j(eta(B))),difference(quotient(eta(A),quotient(
% j(eta(B)),A)),
% eta(B))) ->
% quotient(eta(A),i(quotient(eta(A),quotient(j(eta(B)),A)))) collapsed.
% Rule
% [1653]
% quotient(difference(A,quotient(difference(i(difference(B,C)),C),difference(B,C))),
% difference(quotient(eta(B),quotient(i(A),B)),C)) ->
% t(quotient(difference(A,quotient(difference(i(difference(B,C)),C),difference(B,C))),B),B)
% collapsed.
% Rule
% [1674]
% difference(t(difference(quotient(eta(A),quotient(i(B),A)),C),A),difference(B,
% quotient(
% difference(
% i(difference(A,C)),C),
% difference(A,C))))
% ->
% quotient(difference(B,quotient(difference(i(difference(A,C)),C),difference(A,C))),A)
% collapsed.
% Rule
% [1682]
% quotient(quotient(eta(difference(quotient(eta(t(A,B)),quotient(i(C),t(A,B))),A)),
% quotient(i(quotient(eta(B),quotient(i(quotient(eta(t(A,B)),quotient(
% i(C),
% t(A,B)))),B))),
% difference(quotient(eta(t(A,B)),quotient(i(C),t(A,B))),A))),
% quotient(eta(t(A,B)),quotient(i(C),t(A,B)))) ->
% quotient(quotient(quotient(eta(difference(C,quotient(A,j(A)))),quotient(
% i(quotient(
% eta(
% quotient(B,A)),
% quotient(
% i(C),
% quotient(B,A)))),
% difference(C,
% quotient(A,
% j(A))))),C),
% t(A,B)) collapsed.
% Rule
% [1743]
% difference(A,quotient(j(j(A)),quotient(quotient(difference(B,quotient(
% difference(
% i(A),j(j(A))),A)),
% j(eta(A))),j(j(A))))) ->
% quotient(quotient(quotient(eta(B),quotient(i(A),B)),j(eta(A))),j(j(A)))
% collapsed.
% Rule
% [1744]
% quotient(difference(quotient(quotient(eta(A),quotient(i(quotient(eta(B),
% quotient(i(C),B))),A)),C),C),C)
% <->
% quotient(difference(B,quotient(difference(i(quotient(difference(A,C),C)),C),
% quotient(difference(A,C),C))),quotient(eta(C),quotient(
% i(A),C)))
% collapsed.
% Rule
% [1745]
% quotient(difference(B,quotient(difference(i(quotient(difference(A,C),C)),C),
% quotient(difference(A,C),C))),quotient(eta(C),quotient(
% i(A),C)))
% <->
% quotient(difference(quotient(quotient(eta(A),quotient(i(quotient(eta(B),
% quotient(i(C),B))),A)),C),C),C)
% collapsed.
% Rule
% [1759]
% difference(t(t(t(i(i(i(i(A)))),eta(A)),i(i(i(i(A))))),t(i(i(i(i(A)))),eta(A))),
% i(i(A))) -> t(t(i(i(i(i(A)))),eta(A)),i(i(i(i(A))))) collapsed.
% Rule
% [1763]
% difference(t(t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B)),
% t(t(quotient(A,B),B),quotient(A,B))),A) ->
% t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B)) collapsed.
% Rule
% [1768]
% difference(quotient(eta(A),quotient(i(B),A)),quotient(A,quotient(quotient(
% difference(C,
% quotient(
% difference(
% i(difference(B,A)),A),
% difference(B,A))),B),A)))
% ->
% quotient(quotient(quotient(eta(C),quotient(i(quotient(eta(A),quotient(i(B),A))),C)),B),A)
% collapsed.
% Rule
% [1773]
% quotient(difference(i(t(eta(A),quotient(eta(A),i(B)))),quotient(difference(
% i(i(t(
% eta(A),B))),
% eta(A)),
% i(t(eta(A),B)))),
% t(eta(A),quotient(eta(A),i(B)))) -> eta(A) collapsed.
% Rule
% [1785]
% quotient(difference(i(t(t(quotient(A,B),B),quotient(A,B))),quotient(difference(
% i(
% t(
% quotient(A,B),B)),A),
% t(quotient(A,B),B))),
% t(t(quotient(A,B),B),quotient(A,B))) -> A collapsed.
% Rule
% [1786]
% quotient(difference(difference(A,B),A),t(t(t(difference(B,A),A),difference(B,A)),
% t(difference(B,A),A))) ->
% t(t(t(t(difference(B,A),A),difference(B,A)),t(difference(B,A),A)),t(t(
% difference(B,A),A),
% difference(B,A)))
% collapsed.
% Rule
% [1794]
% difference(t(t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A))),
% t(eta(A),quotient(B,quotient(j(quotient(i(quotient(eta(C),
% quotient(j(A),C))),
% j(eta(A)))),j(j(A)))))),t(eta(A),B))
% -> t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A))) collapsed.
% Rule
% [1796]
% difference(i(t(A,i(quotient(A,j(A))))),quotient(A,quotient(quotient(difference(B,
% quotient(
% difference(
% j(
% eta(A)),A),
% eta(A))),
% i(i(A))),A))) ->
% quotient(quotient(quotient(eta(B),quotient(t(A,i(quotient(A,j(A)))),B)),
% i(i(A))),A) collapsed.
% Rule
% [1797]
% difference(i(i(A)),quotient(A,quotient(quotient(difference(B,quotient(
% difference(
% i(i(i(A))),A),
% i(i(A)))),
% t(i(i(A)),eta(A))),A))) ->
% quotient(quotient(quotient(eta(B),quotient(i(i(i(A))),B)),t(i(i(A)),eta(A))),A)
% collapsed.
% Rule
% [1806]
% quotient(quotient(j(quotient(i(quotient(eta(quotient(difference(i(A),j(j(A))),A)),
% quotient(j(A),quotient(difference(i(A),
% j(j(A))),A)))),
% j(eta(A)))),j(j(A))),j(eta(A))) -> j(j(A)) collapsed.
% Rule
% [1812]
% difference(t(t(t(quotient(eta(A),i(B)),j(B)),quotient(eta(A),i(B))),t(
% quotient(
% eta(A),
% i(B)),
% j(B))),
% quotient(eta(A),j(eta(B)))) ->
% t(t(quotient(eta(A),i(B)),j(B)),quotient(eta(A),i(B))) collapsed.
% Rule
% [1817]
% quotient(difference(A,quotient(difference(i(quotient(A,j(A))),j(j(quotient(A,
% j(A))))),
% quotient(A,j(A)))),j(eta(quotient(A,j(A))))) ->
% quotient(quotient(quotient(eta(A),quotient(quotient(i(A),j(eta(quotient(A,
% j(A))))),A)),A),
% j(eta(quotient(A,j(A))))) collapsed.
% Rule
% [1825]
% quotient(difference(A,quotient(difference(i(quotient(eta(quotient(eta(B),
% quotient(j(eta(C)),B))),
% eta(C))),eta(B)),quotient(
% eta(quotient(
% eta(B),
% quotient(
% j(eta(C)),B))),
% eta(C)))),
% eta(C)) <-> difference(j(quotient(i(A),eta(C))),eta(B)) collapsed.
% Rule
% [1826]
% difference(quotient(eta(t(t(quotient(B,C),C),quotient(B,C))),quotient(
% i(A),t(t(
% quotient(B,C),C),
% quotient(B,C)))),B)
% ->
% quotient(difference(A,quotient(difference(i(t(quotient(B,C),C)),B),t(
% quotient(B,C),C))),
% t(t(quotient(B,C),C),quotient(B,C))) collapsed.
% Rule
% [1828]
% difference(t(t(t(quotient(eta(A),i(i(B))),B),quotient(eta(A),i(i(B)))),
% t(quotient(eta(A),i(i(B))),B)),quotient(eta(A),j(eta(B)))) ->
% t(t(quotient(eta(A),i(i(B))),B),quotient(eta(A),i(i(B)))) collapsed.
% Rule
% [1836]
% difference(t(t(t(quotient(eta(A),j(eta(A))),j(A)),quotient(eta(A),j(eta(A)))),
% t(quotient(eta(A),j(eta(A))),j(A))),i(i(i(A)))) ->
% t(t(quotient(eta(A),j(eta(A))),j(A)),quotient(eta(A),j(eta(A)))) collapsed.
% Rule
% [1841]
% quotient(quotient(eta(difference(quotient(eta(quotient(eta(A),quotient(
% i(B),A))),
% quotient(i(C),quotient(eta(A),quotient(
% i(B),A)))),A)),
% quotient(i(quotient(eta(V_3),quotient(i(quotient(eta(quotient(
% eta(A),
% quotient(
% i(B),A))),
% quotient(i(C),quotient(
% eta(A),
% quotient(
% i(B),A))))),V_3))),
% difference(quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(
% i(C),
% quotient(
% eta(A),
% quotient(
% i(B),A)))),A))),
% quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(i(C),quotient(
% eta(A),
% quotient(
% i(B),A))))) <->
% quotient(quotient(quotient(eta(difference(quotient(quotient(eta(B),quotient(
% i(
% quotient(
% eta(C),
% quotient(
% i(A),C))),B)),A),V_3)),
% quotient(i(quotient(eta(A),quotient(i(quotient(quotient(
% eta(B),
% quotient(
% i(quotient(
% eta(C),
% quotient(
% i(A),C))),B)),A)),A))),
% difference(quotient(quotient(eta(B),quotient(i(quotient(
% eta(C),
% quotient(
% i(A),C))),B)),A),V_3))),
% quotient(quotient(eta(B),quotient(i(quotient(eta(C),quotient(i(A),C))),B)),A)),A)
% collapsed.
% Rule
% [1866]
% difference(i(i(A)),quotient(eta(A),i(quotient(quotient(eta(A),quotient(
% i(B),A)),
% quotient(quotient(quotient(eta(difference(
% quotient(C,
% i(
% i(A))),A)),
% quotient(i(quotient(
% eta(B),
% quotient(
% i(quotient(C,
% i(
% i(A)))),B))),
% difference(quotient(C,
% i(i(A))),A))),
% quotient(C,i(i(A)))),quotient(
% eta(A),
% quotient(
% i(B),A)))))))
% -> quotient(quotient(eta(B),quotient(i(C),B)),i(i(A))) collapsed.
% Rule
% [1870]
% quotient(difference(A,quotient(difference(i(difference(B,C)),C),difference(B,C))),
% t(difference(quotient(eta(B),quotient(i(A),B)),C),B)) ->
% t(t(quotient(difference(A,quotient(difference(i(difference(B,C)),C),difference(B,C))),B),B),
% quotient(difference(A,quotient(difference(i(difference(B,C)),C),difference(B,C))),B))
% collapsed.
% Rule
% [1871]
% quotient(quotient(difference(A,quotient(difference(i(difference(B,C)),C),
% difference(B,C))),quotient(B,difference(A,
% quotient(
% difference(
% i(difference(B,C)),C),
% difference(B,C))))),
% difference(quotient(eta(B),quotient(i(A),B)),C)) ->
% difference(A,quotient(difference(i(difference(B,C)),C),difference(B,C)))
% collapsed.
% Rule
% [1872]
% difference(quotient(eta(A),quotient(i(t(t(quotient(quotient(difference(
% i(difference(A,B)),B),
% difference(A,B)),C),C),
% quotient(quotient(difference(i(
% difference(A,B)),B),
% difference(A,B)),C))),A)),B)
% ->
% quotient(t(quotient(quotient(difference(i(difference(A,B)),B),difference(A,B)),C),C),A)
% collapsed.
% Rule
% [1884]
% quotient(difference(A,quotient(difference(i(quotient(A,j(A))),difference(
% difference(
% quotient(A,
% j(A)),B),
% quotient(A,
% j(A)))),
% quotient(A,j(A)))),difference(B,quotient(A,j(A)))) ->
% quotient(t(A,quotient(eta(difference(B,quotient(A,j(A)))),quotient(i(A),
% difference(B,
% quotient(A,
% j(A)))))),difference(B,
% quotient(A,
% j(A))))
% collapsed.
% Rule
% [1887]
% quotient(quotient(eta(difference(t(quotient(quotient(eta(B),quotient(
% i(quotient(
% eta(C),
% quotient(
% i(A),C))),B)),A),A),B)),
% quotient(i(quotient(eta(quotient(eta(C),quotient(i(A),C))),quotient(
% i(
% t(
% quotient(
% quotient(
% eta(B),
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% i(A),C))),B)),A),A)),
% quotient(
% eta(C),
% quotient(
% i(A),C))))),
% difference(t(quotient(quotient(eta(B),quotient(i(quotient(eta(C),
% quotient(i(A),C))),B)),A),A),B))),
% t(quotient(quotient(eta(B),quotient(i(quotient(eta(C),quotient(i(A),C))),B)),A),A))
% ->
% quotient(quotient(eta(B),quotient(i(quotient(eta(C),quotient(i(A),C))),B)),A)
% collapsed.
% Rule
% [1897]
% difference(t(t(t(quotient(eta(A),i(quotient(A,j(A)))),j(A)),quotient(
% eta(A),i(
% quotient(A,
% j(A))))),
% t(quotient(eta(A),i(quotient(A,j(A)))),j(A))),i(i(A))) ->
% t(t(quotient(eta(A),i(quotient(A,j(A)))),j(A)),quotient(eta(A),i(quotient(A,
% j(A)))))
% collapsed.
% Rule
% [1905]
% difference(t(t(difference(quotient(eta(A),quotient(i(B),A)),C),A),quotient(
% difference(B,
% quotient(
% difference(
% i(difference(A,C)),C),
% difference(A,C))),A)),
% difference(B,quotient(difference(i(difference(A,C)),C),difference(A,C)))) ->
% t(quotient(difference(B,quotient(difference(i(difference(A,C)),C),difference(A,C))),A),A)
% collapsed.
% Rule
% [1906]
% difference(t(t(quotient(difference(A,quotient(difference(i(difference(B,C)),C),
% difference(B,C))),B),B),difference(
% quotient(
% eta(B),quotient(
% i(A),B)),C)),
% difference(A,quotient(difference(i(difference(B,C)),C),difference(B,C)))) ->
% t(quotient(difference(A,quotient(difference(i(difference(B,C)),C),difference(B,C))),B),B)
% collapsed.
% Rule
% [1911]
% quotient(difference(i(difference(quotient(eta(A),quotient(i(B),A)),C)),
% quotient(difference(i(A),difference(B,quotient(difference(i(
% difference(A,C)),C),
% difference(A,C)))),A)),
% quotient(difference(B,quotient(difference(i(difference(A,C)),C),difference(A,C))),A))
% -> difference(B,quotient(difference(i(difference(A,C)),C),difference(A,C)))
% collapsed.
% Rule
% [1912]
% quotient(difference(i(quotient(difference(A,quotient(difference(i(difference(B,C)),C),
% difference(B,C))),B)),quotient(
% difference(
% i(B),
% difference(A,
% quotient(
% difference(
% i(difference(B,C)),C),
% difference(B,C)))),B)),
% difference(quotient(eta(B),quotient(i(A),B)),C)) ->
% difference(A,quotient(difference(i(difference(B,C)),C),difference(B,C)))
% collapsed.
% Rule
% [1928]
% quotient(eta(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% quotient(i(difference(quotient(A,j(A)),j(j(A)))),quotient(quotient(quotient(
% eta(B),
% quotient(
% i(
% quotient(A,
% j(A))),B)),A),A)))
% ->
% quotient(quotient(quotient(eta(quotient(eta(B),quotient(A,B))),quotient(
% i(quotient(A,
% j(A))),
% quotient(
% eta(B),
% quotient(A,B)))),A),A)
% collapsed.
% Rule
% [1936]
% quotient(quotient(quotient(eta(difference(quotient(quotient(eta(B),quotient(
% i(
% quotient(
% eta(C),
% quotient(
% i(A),C))),B)),A),B)),
% quotient(i(quotient(eta(quotient(eta(quotient(C,j(C))),
% quotient(i(A),quotient(C,j(C))))),
% quotient(i(quotient(quotient(eta(B),quotient(
% i(quotient(
% eta(C),
% quotient(
% i(A),C))),B)),A)),
% quotient(eta(quotient(C,j(C))),quotient(
% i(A),quotient(C,
% j(C))))))),
% difference(quotient(quotient(eta(B),quotient(i(quotient(
% eta(C),
% quotient(
% i(A),C))),B)),A),B))),
% quotient(quotient(eta(B),quotient(i(quotient(eta(C),quotient(i(A),C))),B)),A)),A)
% ->
% quotient(t(C,quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(
% i(C),quotient(
% eta(A),
% quotient(
% i(B),A))))),
% quotient(eta(A),quotient(i(B),A))) collapsed.
% Rule
% [1938]
% difference(quotient(A,j(A)),quotient(A,t(eta(B),quotient(quotient(quotient(
% difference(C,
% quotient(
% j(quotient(
% i(
% quotient(
% eta(
% quotient(
% quotient(
% difference(
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(
% j(B)))),A),
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(
% j(B)))),
% j(
% eta(B)))),
% quotient(
% j(B),
% quotient(
% quotient(
% difference(
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(
% j(B)))),A),
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(
% j(B)))),
% j(
% eta(B)))))),
% j(
% eta(B)))),
% j(j(B)))),
% eta(B)),
% quotient(j(quotient(
% i(
% quotient(
% eta(
% quotient(A,
% j(
% eta(B)))),
% quotient(
% j(B),
% quotient(A,
% j(
% eta(B)))))),
% j(
% eta(B)))),
% j(j(B)))),quotient(
% j(
% quotient(
% i(
% quotient(
% eta(
% quotient(A,
% j(
% eta(B)))),
% quotient(
% j(B),
% quotient(A,
% j(
% eta(B)))))),
% j(
% eta(B)))),
% j(
% j(B)))))))
% <->
% difference(quotient(A,j(A)),quotient(A,t(eta(B),quotient(quotient(difference(
% quotient(
% eta(B),
% i(C)),
% quotient(
% j(quotient(
% i(
% quotient(
% eta(
% quotient(A,
% j(
% eta(B)))),
% quotient(
% j(B),
% quotient(A,
% j(
% eta(B)))))),
% j(
% eta(B)))),
% j(j(B)))),
% quotient(j(quotient(
% i(
% quotient(
% eta(
% quotient(A,
% j(
% eta(B)))),
% quotient(
% j(B),
% quotient(A,
% j(
% eta(B)))))),
% j(
% eta(B)))),
% j(j(B)))),quotient(
% j(
% quotient(
% i(
% quotient(
% eta(
% quotient(A,
% j(
% eta(B)))),
% quotient(
% j(B),
% quotient(A,
% j(
% eta(B)))))),
% j(
% eta(B)))),
% j(
% j(B)))))))
% collapsed.
% Rule
% [1945]
% difference(t(t(eta(A),t(t(quotient(B,quotient(j(quotient(i(quotient(eta(C),
% quotient(j(A),C))),
% j(eta(A)))),j(j(A)))),
% quotient(j(quotient(i(quotient(eta(C),quotient(
% j(A),C))),
% j(eta(A)))),j(j(A)))),quotient(B,quotient(
% j(
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(
% j(A)))))),
% t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A)))),
% t(eta(A),B)) ->
% t(t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A))),quotient(
% t(eta(A),B),
% quotient(C,
% eta(A))))
% collapsed.
% Rule
% [1961]
% difference(t(t(t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B)),
% t(t(quotient(A,B),B),quotient(A,B))),t(t(t(quotient(A,B),B),
% quotient(A,B)),t(
% quotient(A,B),B))),A)
% ->
% t(t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B)),t(t(quotient(A,B),B),
% quotient(A,B)))
% collapsed.
% Rule
% [1964]
% quotient(difference(i(t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B))),
% quotient(difference(i(t(t(quotient(A,B),B),quotient(A,B))),A),
% t(t(quotient(A,B),B),quotient(A,B)))),t(t(t(quotient(A,B),B),
% quotient(A,B)),t(quotient(A,B),B)))
% -> A collapsed.
% Rule
% [1970]
% difference(t(t(t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A))),
% t(eta(A),quotient(B,quotient(j(quotient(i(quotient(eta(C),
% quotient(j(A),C))),
% j(eta(A)))),j(j(A)))))),t(
% quotient(
% t(
% eta(A),B),
% quotient(C,
% eta(A))),
% quotient(C,
% eta(A)))),
% t(eta(A),B)) ->
% t(t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A))),quotient(
% t(eta(A),B),
% quotient(C,
% eta(A))))
% collapsed.
% Rule
% [1971]
% difference(t(t(t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A))),
% quotient(t(eta(A),B),quotient(C,eta(A)))),t(eta(A),t(quotient(B,
% quotient(
% j(quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(j(A)))),
% quotient(
% j(quotient(
% i(quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(eta(A)))),
% j(j(A)))))),
% t(eta(A),B)) ->
% t(t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A))),quotient(
% t(eta(A),B),
% quotient(C,
% eta(A))))
% collapsed.
% Rule
% [1981]
% difference(quotient(eta(t(t(t(quotient(B,C),C),quotient(B,C)),t(quotient(B,C),C))),
% quotient(i(A),t(t(t(quotient(B,C),C),quotient(B,C)),t(quotient(B,C),C)))),B)
% ->
% quotient(difference(A,quotient(difference(i(t(t(quotient(B,C),C),quotient(B,C))),B),
% t(t(quotient(B,C),C),quotient(B,C)))),t(t(t(quotient(B,C),C),
% quotient(B,C)),
% t(quotient(B,C),C)))
% collapsed.
% Rule
% [1985]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(B,
% quotient(
% difference(
% i(difference(C,A)),A),
% difference(C,A))),C),A),A)))
% ->
% quotient(eta(quotient(quotient(quotient(eta(C),quotient(i(quotient(A,j(A))),C)),A),A)),
% quotient(i(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% quotient(quotient(quotient(eta(C),quotient(i(quotient(A,j(A))),C)),A),A)))
% collapsed.
% Rule
% [1994]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(C,
% quotient(
% difference(
% i(quotient(A,B)),A),
% quotient(A,B))),
% t(quotient(A,B),B)),A),A)))
% ->
% quotient(eta(difference(quotient(A,j(A)),quotient(A,quotient(t(A,quotient(A,
% quotient(
% eta(B),
% quotient(
% i(A),B)))),A)))),
% quotient(i(quotient(quotient(quotient(eta(C),quotient(i(quotient(A,j(A))),C)),A),A)),
% difference(quotient(A,j(A)),quotient(A,quotient(t(A,quotient(A,quotient(
% eta(B),
% quotient(
% i(A),B)))),A)))))
% collapsed.
% Rule
% [2005]
% difference(quotient(quotient(quotient(eta(quotient(eta(B),quotient(i(C),B))),
% quotient(i(quotient(A,j(A))),quotient(eta(B),
% quotient(i(C),B)))),A),A),
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)) ->
% quotient(difference(quotient(quotient(quotient(eta(C),quotient(i(quotient(A,
% j(A))),C)),A),A),
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A))
% collapsed.
% Rule
% [2016]
% difference(t(A,quotient(A,quotient(eta(B),quotient(i(A),B)))),quotient(
% quotient(A,B),
% quotient(
% quotient(
% difference(C,
% quotient(
% difference(
% i(quotient(A,
% quotient(B,A))),
% quotient(A,B)),
% quotient(A,
% quotient(B,A)))),
% quotient(
% quotient(A,B),
% quotient(A,
% quotient(B,A)))),
% quotient(A,B))))
% ->
% quotient(quotient(quotient(eta(C),quotient(i(t(A,quotient(A,quotient(
% eta(B),quotient(
% i(A),B))))),C)),
% quotient(quotient(A,B),quotient(A,quotient(B,A)))),quotient(A,B))
% collapsed.
% Rule
% [2018]
% quotient(difference(quotient(eta(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(B,A),A)))),
% quotient(i(quotient(quotient(quotient(eta(C),quotient(
% i(quotient(A,
% j(A))),C)),A),A)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A))))),
% quotient(A,j(A))),quotient(A,j(A))) <->
% difference(quotient(A,quotient(quotient(quotient(difference(C,quotient(
% difference(
% i(B),A),B)),
% quotient(A,B)),A),A)),quotient(A,
% j(A)))
% collapsed.
% Rule
% [2019]
% difference(quotient(A,quotient(quotient(quotient(difference(C,quotient(
% difference(
% i(B),A),B)),
% quotient(A,B)),A),A)),quotient(A,
% j(A))) <->
% quotient(difference(quotient(eta(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(B,A),A)))),
% quotient(i(quotient(quotient(quotient(eta(C),quotient(
% i(quotient(A,
% j(A))),C)),A),A)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A))))),
% quotient(A,j(A))),quotient(A,j(A))) collapsed.
% Rule
% [2039]
% difference(quotient(eta(B),quotient(i(A),i(i(B)))),B) ->
% quotient(difference(A,quotient(difference(j(eta(B)),B),eta(B))),i(i(B)))
% collapsed.
% Rule
% [2040]
% quotient(difference(t(A,i(quotient(A,j(A)))),i(i(A))),i(t(A,i(quotient(A,
% j(A)))))) -> A
% collapsed.
% Rule
% [2041]
% difference(quotient(eta(A),quotient(i(i(i(quotient(difference(i(difference(A,B)),B),
% difference(A,B))))),A)),B) ->
% quotient(eta(quotient(difference(i(difference(A,B)),B),difference(A,B))),A)
% collapsed.
% Rule [2043] difference(t(t(i(i(A)),eta(A)),i(i(A))),A) -> t(i(i(A)),eta(A))
% collapsed.
% Rule
% [2045]
% difference(t(t(t(i(i(A)),eta(A)),i(i(A))),t(i(i(A)),eta(A))),A) ->
% t(t(i(i(A)),eta(A)),i(i(A))) collapsed.
% Rule [2050] difference(t(A,i(quotient(A,j(A)))),i(A)) -> A collapsed.
% Rule
% [2053]
% difference(t(t(A,i(quotient(A,j(A)))),A),i(A)) -> t(A,i(quotient(A,j(A))))
% collapsed.
% Rule
% [2057]
% difference(t(t(t(A,i(quotient(A,j(A)))),A),t(A,i(quotient(A,j(A))))),i(A)) ->
% t(t(A,i(quotient(A,j(A)))),A) collapsed.
% Rule
% [2059]
% difference(quotient(eta(B),quotient(i(A),j(B))),B) <->
% quotient(difference(A,quotient(difference(i(i(quotient(j(B),j(j(B))))),B),
% i(quotient(j(B),j(j(B)))))),j(B)) collapsed.
% Rule
% [2060]
% quotient(difference(A,quotient(difference(i(i(quotient(j(B),j(j(B))))),B),
% i(quotient(j(B),j(j(B)))))),j(B)) <->
% difference(quotient(eta(B),quotient(i(A),j(B))),B) collapsed.
% Rule
% [2061]
% difference(quotient(eta(A),difference(A,B)),B) ->
% quotient(i(quotient(j(quotient(difference(i(difference(A,B)),B),difference(A,B))),
% j(j(quotient(difference(i(difference(A,B)),B),difference(A,B)))))),A)
% collapsed.
% Rule [2062] difference(j(eta(A)),j(A)) -> i(A) collapsed.
% Rule
% [2063]
% difference(j(j(A)),j(eta(A))) -> quotient(difference(A,j(eta(A))),j(eta(A)))
% collapsed.
% Rule
% [2064]
% difference(j(quotient(i(A),j(eta(B)))),j(j(B))) ->
% quotient(difference(A,quotient(difference(i(B),j(j(B))),B)),j(eta(B)))
% collapsed.
% Rule
% [2071]
% quotient(difference(i(A),j(eta(A))),j(eta(A))) -> difference(j(A),j(eta(A)))
% collapsed.
% Rule
% [2073]
% difference(quotient(eta(B),quotient(i(A),j(j(B)))),B) ->
% quotient(difference(A,j(j(j(j(B))))),j(j(B))) collapsed.
% Rule
% [2076]
% quotient(quotient(j(quotient(i(quotient(eta(quotient(difference(i(i(A)),j(A)),
% i(A))),quotient(j(A),quotient(
% difference(
% i(i(A)),
% j(A)),
% i(A))))),
% j(eta(A)))),j(j(A))),j(eta(A))) -> j(A) collapsed.
% Rule
% [2077]
% difference(j(quotient(i(A),j(eta(B)))),j(B)) ->
% quotient(difference(A,quotient(difference(i(i(B)),j(B)),i(B))),j(eta(B)))
% collapsed.
% Rule
% [2078]
% difference(quotient(eta(A),quotient(j(quotient(difference(i(difference(A,B)),B),
% difference(A,B))),A)),B) ->
% quotient(j(eta(quotient(difference(i(difference(A,B)),B),difference(A,B)))),A)
% collapsed.
% Rule
% [2082]
% difference(i(A),quotient(j(A),quotient(quotient(difference(B,quotient(
% difference(
% i(i(A)),
% j(A)),i(A))),
% j(eta(A))),j(A)))) ->
% quotient(quotient(quotient(eta(B),quotient(i(i(A)),B)),j(eta(A))),j(A))
% collapsed.
% Rule
% [2098]
% quotient(difference(i(t(i(i(A)),eta(A))),quotient(difference(i(i(i(A))),A),
% i(i(A)))),t(i(i(A)),eta(A))) -> A
% collapsed.
% Rule
% [2103]
% quotient(difference(A,t(eta(B),quotient(difference(i(difference(j(C),V_3)),V_3),
% difference(j(C),V_3)))),j(t(eta(B),C))) <->
% difference(quotient(eta(t(eta(B),C)),quotient(i(A),j(t(eta(B),C)))),t(
% eta(B),V_3))
% collapsed.
% Rule
% [2120]
% difference(j(t(eta(A),B)),i(i(i(i(A))))) -> t(eta(A),difference(j(B),A))
% collapsed.
% Rule
% [2126]
% quotient(difference(A,t(eta(B),quotient(difference(i(difference(i(C),V_3)),V_3),
% difference(i(C),V_3)))),i(t(eta(B),C))) <->
% difference(quotient(eta(t(eta(B),C)),quotient(i(A),i(t(eta(B),C)))),t(
% eta(B),V_3))
% collapsed.
% Rule
% [2128]
% difference(i(t(eta(A),B)),i(i(i(i(A))))) -> t(eta(A),difference(i(B),A))
% collapsed.
% Rule
% [2140] difference(t(i(i(i(i(i(A))))),eta(A)),i(i(i(A)))) -> i(i(i(i(i(A)))))
% collapsed.
% Rule
% [2142]
% difference(t(t(i(i(i(i(i(A))))),eta(A)),i(i(i(i(i(A)))))),i(i(i(A)))) ->
% t(i(i(i(i(i(A))))),eta(A)) collapsed.
% Rule [2150] difference(A,difference(i(A),A)) -> A collapsed.
% Rule
% [2152]
% quotient(difference(i(A),quotient(difference(i(A),difference(i(A),A)),A)),A)
% -> difference(i(A),A) collapsed.
% Rule
% [2153]
% difference(quotient(A,j(eta(B))),t(A,eta(B))) ->
% quotient(difference(A,t(A,eta(B))),t(A,eta(B))) collapsed.
% Rule
% [2154]
% difference(quotient(eta(t(B,eta(C))),quotient(i(A),t(B,eta(C)))),quotient(B,
% j(eta(C))))
% ->
% quotient(difference(A,quotient(difference(i(B),quotient(B,j(eta(C)))),B)),
% t(B,eta(C))) collapsed.
% Rule [2167] difference(t(j(j(A)),eta(A)),j(j(j(j(A))))) -> j(j(A)) collapsed.
% Rule
% [2170] difference(difference(i(A),A),difference(i(quotient(A,j(A))),A)) -> A
% collapsed.
% Rule
% [2171]
% difference(quotient(A,B),difference(difference(A,t(quotient(A,B),B)),A)) -> A
% collapsed.
% Rule
% [2172]
% difference(difference(difference(A,B),A),difference(B,A)) ->
% quotient(difference(A,difference(B,A)),difference(B,A)) collapsed.
% Rule
% [2173]
% difference(i(quotient(A,j(A))),difference(difference(i(A),A),i(A))) -> i(A)
% collapsed.
% Rule
% [2179]
% difference(t(quotient(A,B),B),difference(difference(A,t(t(quotient(A,B),B),
% quotient(A,B))),A)) ->
% A collapsed.
% Rule
% [2181]
% difference(quotient(eta(difference(C,B)),quotient(i(A),difference(C,B))),
% difference(difference(B,C),B)) ->
% quotient(difference(A,quotient(difference(i(B),difference(difference(B,C),B)),B)),
% difference(C,B)) collapsed.
% Rule
% [2182]
% difference(difference(B,A),quotient(eta(difference(difference(A,B),A)),
% quotient(j(eta(difference(B,A))),difference(
% difference(A,B),A))))
% -> quotient(difference(i(A),j(quotient(i(A),eta(difference(B,A))))),A)
% collapsed.
% Rule
% [2183]
% difference(t(t(quotient(A,B),B),quotient(A,B)),difference(difference(A,
% t(t(t(quotient(A,B),B),
% quotient(A,B)),
% t(quotient(A,B),B))),A))
% -> A collapsed.
% Rule [2185] difference(j(j(A)),difference(j(j(j(A))),eta(A))) -> eta(A)
% collapsed.
% Rule
% [2186]
% difference(i(quotient(j(A),j(j(A)))),difference(difference(A,j(A)),A)) -> A
% collapsed.
% Current number of equations to process: 573
% Current number of ordered equations: 0
% Current number of rules: 866
% New rule produced :
% [2195]
% difference(t(quotient(A,j(A)),A),quotient(quotient(A,j(A)),i(A))) ->
% quotient(A,j(A))
% Current number of equations to process: 574
% Current number of ordered equations: 0
% Current number of rules: 867
% New rule produced :
% [2196]
% difference(difference(A,j(A)),quotient(i(quotient(j(A),j(j(A)))),quotient(
% eta(
% difference(
% j(A),
% i(quotient(
% j(A),
% j(
% j(A)))))),
% quotient(
% i(i(
% quotient(
% j(A),
% j(
% j(A))))),
% difference(
% j(A),
% i(quotient(
% j(A),
% j(
% j(A)))))))))
% -> j(A)
% Current number of equations to process: 573
% Current number of ordered equations: 0
% Current number of rules: 868
% New rule produced :
% [2197]
% difference(A,quotient(quotient(difference(A,j(eta(A))),j(eta(A))),quotient(
% eta(
% difference(
% j(j(A)),
% quotient(
% difference(A,
% j(eta(A))),
% j(eta(A))))),
% quotient(
% i(quotient(
% difference(A,
% j(
% eta(A))),
% j(
% eta(A)))),
% difference(
% j(j(A)),
% quotient(
% difference(A,
% j(eta(A))),
% j(eta(A))))))))
% -> j(j(A))
% Current number of equations to process: 573
% Current number of ordered equations: 0
% Current number of rules: 869
% New rule produced :
% [2198]
% quotient(difference(A,j(eta(A))),j(eta(A))) ->
% quotient(j(j(A)),quotient(eta(A),i(quotient(A,j(A)))))
% Rule
% [2197]
% difference(A,quotient(quotient(difference(A,j(eta(A))),j(eta(A))),quotient(
% eta(
% difference(
% j(j(A)),
% quotient(
% difference(A,
% j(eta(A))),
% j(eta(A))))),
% quotient(
% i(quotient(
% difference(A,
% j(
% eta(A))),
% j(
% eta(A)))),
% difference(
% j(j(A)),
% quotient(
% difference(A,
% j(eta(A))),
% j(eta(A))))))))
% -> j(j(A)) collapsed.
% Current number of equations to process: 573
% Current number of ordered equations: 0
% Current number of rules: 869
% Rule [958]
% quotient(difference(quotient(A,B),t(quotient(A,B),B)),t(quotient(A,B),B))
% -> difference(A,t(quotient(A,B),B)) is composed into [958]
% quotient(difference(
% quotient(A,B),
% t(
% quotient(A,B),B)),
% t(quotient(A,B),B))
% ->
% quotient(A,
% quotient(eta(
% quotient(A,B)),
% quotient(i(A),
% quotient(A,B))))
% New rule produced :
% [2199]
% difference(A,t(quotient(A,B),B)) ->
% quotient(A,quotient(eta(quotient(A,B)),quotient(i(A),quotient(A,B))))
% Rule
% [2177]
% difference(difference(A,t(quotient(A,B),B)),difference(quotient(A,B),
% t(quotient(A,B),B))) ->
% t(quotient(A,B),B) collapsed.
% Current number of equations to process: 573
% Current number of ordered equations: 0
% Current number of rules: 869
% New rule produced :
% [2200]
% difference(j(A),j(eta(A))) ->
% quotient(j(A),quotient(eta(A),i(t(A,i(quotient(A,j(A)))))))
% Current number of equations to process: 572
% Current number of ordered equations: 0
% Current number of rules: 870
% New rule produced :
% [2201]
% t(quotient(eta(A),quotient(j(eta(A)),j(A))),quotient(j(eta(A)),j(A))) ->
% j(j(A))
% Current number of equations to process: 572
% Current number of ordered equations: 0
% Current number of rules: 871
% New rule produced :
% [2202] quotient(i(t(i(A),i(t(A,i(quotient(A,j(A))))))),i(i(i(A)))) -> i(A)
% Current number of equations to process: 573
% Current number of ordered equations: 1
% Current number of rules: 872
% New rule produced :
% [2203]
% quotient(i(A),t(quotient(eta(A),i(quotient(A,j(A)))),i(quotient(A,j(A))))) ->
% A
% Current number of equations to process: 573
% Current number of ordered equations: 0
% Current number of rules: 873
% New rule produced :
% [2204]
% quotient(quotient(i(A),quotient(eta(quotient(A,j(A))),quotient(i(i(A)),
% i(quotient(A,j(A)))))),A)
% -> A
% Current number of equations to process: 572
% Current number of ordered equations: 0
% Current number of rules: 874
% New rule produced :
% [2205]
% quotient(quotient(quotient(A,j(A)),i(A)),t(quotient(A,j(A)),A)) ->
% t(t(quotient(A,j(A)),A),quotient(A,j(A)))
% Current number of equations to process: 571
% Current number of ordered equations: 0
% Current number of rules: 875
% New rule produced :
% [2206]
% difference(A,quotient(i(A),quotient(eta(quotient(A,j(A))),quotient(i(i(A)),
% i(quotient(A,j(A)))))))
% -> A
% Current number of equations to process: 570
% Current number of ordered equations: 0
% Current number of rules: 876
% New rule produced :
% [2207]
% difference(A,difference(quotient(difference(A,difference(B,A)),difference(B,A)),
% quotient(difference(A,B),quotient(eta(difference(A,difference(A,B))),
% quotient(i(difference(A,B)),difference(A,
% difference(A,B)))))))
% ->
% quotient(difference(A,B),quotient(eta(difference(A,difference(A,B))),
% quotient(i(difference(A,B)),difference(A,difference(A,B)))))
% Current number of equations to process: 569
% Current number of ordered equations: 0
% Current number of rules: 877
% New rule produced :
% [2208]
% quotient(eta(A),quotient(eta(t(eta(A),B)),t(eta(A),quotient(j(eta(A)),i(B)))))
% -> t(eta(A),B)
% Current number of equations to process: 568
% Current number of ordered equations: 0
% Current number of rules: 878
% New rule produced :
% [2209] quotient(j(A),quotient(eta(A),quotient(A,j(j(j(A)))))) -> j(j(A))
% Current number of equations to process: 567
% Current number of ordered equations: 0
% Current number of rules: 879
% New rule produced :
% [2210]
% quotient(j(A),quotient(eta(difference(A,j(A))),quotient(A,difference(A,j(A)))))
% -> i(quotient(j(A),j(j(A))))
% Current number of equations to process: 566
% Current number of ordered equations: 0
% Current number of rules: 880
% New rule produced :
% [2211]
% quotient(quotient(quotient(A,eta(B)),eta(B)),t(eta(B),quotient(A,eta(B)))) ->
% t(eta(B),quotient(A,j(quotient(i(A),eta(B)))))
% Current number of equations to process: 565
% Current number of ordered equations: 0
% Current number of rules: 881
% New rule produced :
% [2212]
% quotient(quotient(A,B),quotient(eta(quotient(A,quotient(eta(B),quotient(
% i(A),B)))),
% quotient(i(quotient(A,B)),quotient(A,quotient(
% eta(B),quotient(
% i(A),B))))))
% -> B
% Current number of equations to process: 564
% Current number of ordered equations: 0
% Current number of rules: 882
% New rule produced :
% [2213]
% difference(A,quotient(quotient(difference(A,t(A,eta(B))),t(A,eta(B))),
% quotient(eta(difference(quotient(A,j(eta(B))),quotient(difference(A,
% t(A,
% eta(B))),
% t(A,eta(B))))),
% quotient(i(quotient(difference(A,t(A,eta(B))),t(A,eta(B)))),
% difference(quotient(A,j(eta(B))),quotient(difference(A,t(A,
% eta(B))),
% t(A,eta(B)))))))) ->
% quotient(A,j(eta(B)))
% Current number of equations to process: 563
% Current number of ordered equations: 0
% Current number of rules: 883
% New rule produced :
% [2214]
% quotient(difference(A,quotient(B,A)),quotient(B,quotient(eta(A),quotient(
% i(B),A)))) ->
% t(quotient(B,quotient(eta(A),quotient(i(B),A))),quotient(B,A))
% Current number of equations to process: 562
% Current number of ordered equations: 0
% Current number of rules: 884
% New rule produced :
% [2215]
% quotient(difference(A,difference(B,A)),difference(B,A)) <->
% quotient(quotient(difference(A,B),quotient(eta(difference(A,difference(A,B))),
% quotient(i(difference(A,B)),difference(A,
% difference(A,B))))),
% quotient(eta(A),quotient(i(quotient(difference(A,B),quotient(eta(difference(A,
% difference(A,B))),
% quotient(i(difference(A,B)),
% difference(A,difference(A,B)))))),A)))
% Current number of equations to process: 561
% Current number of ordered equations: 1
% Current number of rules: 885
% New rule produced :
% [2216]
% quotient(quotient(difference(A,B),quotient(eta(difference(A,difference(A,B))),
% quotient(i(difference(A,B)),difference(A,
% difference(A,B))))),
% quotient(eta(A),quotient(i(quotient(difference(A,B),quotient(eta(difference(A,
% difference(A,B))),
% quotient(i(difference(A,B)),
% difference(A,difference(A,B)))))),A)))
% <-> quotient(difference(A,difference(B,A)),difference(B,A))
% Current number of equations to process: 561
% Current number of ordered equations: 0
% Current number of rules: 886
% New rule produced :
% [2217]
% difference(t(t(quotient(A,j(A)),A),quotient(A,j(A))),quotient(quotient(A,
% j(A)),i(A))) ->
% t(quotient(A,j(A)),A)
% Current number of equations to process: 560
% Current number of ordered equations: 0
% Current number of rules: 887
% Rule [1660]
% quotient(difference(t(quotient(A,B),B),t(t(quotient(A,B),B),quotient(A,B))),
% t(t(quotient(A,B),B),quotient(A,B))) ->
% difference(A,t(t(quotient(A,B),B),quotient(A,B))) is composed into
% [1660]
% quotient(difference(t(quotient(A,B),B),t(t(quotient(A,B),B),quotient(A,B))),
% t(t(quotient(A,B),B),quotient(A,B))) ->
% quotient(A,quotient(eta(t(quotient(A,B),B)),quotient(i(A),t(quotient(A,B),B))))
% New rule produced :
% [2218]
% difference(A,t(t(quotient(A,B),B),quotient(A,B))) ->
% quotient(A,quotient(eta(t(quotient(A,B),B)),quotient(i(A),t(quotient(A,B),B))))
% Rule
% [2184]
% difference(difference(A,t(t(quotient(A,B),B),quotient(A,B))),difference(
% t(quotient(A,B),B),
% t(t(quotient(A,B),B),
% quotient(A,B))))
% -> t(t(quotient(A,B),B),quotient(A,B)) collapsed.
% Current number of equations to process: 562
% Current number of ordered equations: 0
% Current number of rules: 887
% New rule produced :
% [2219]
% quotient(quotient(B,quotient(A,B)),quotient(eta(quotient(B,A)),quotient(
% i(quotient(B,
% quotient(A,B))),
% quotient(B,A))))
% -> quotient(A,B)
% Current number of equations to process: 561
% Current number of ordered equations: 0
% Current number of rules: 888
% New rule produced :
% [2220]
% quotient(eta(A),quotient(eta(t(eta(A),B)),t(eta(A),quotient(j(eta(A)),B))))
% -> t(eta(A),quotient(eta(A),quotient(B,j(eta(A)))))
% Current number of equations to process: 560
% Current number of ordered equations: 0
% Current number of rules: 889
% New rule produced :
% [2221]
% difference(i(i(i(i(A)))),quotient(difference(i(i(A)),t(i(i(i(i(A)))),eta(A))),
% quotient(eta(difference(i(i(A)),difference(i(i(A)),
% t(i(i(i(i(A)))),
% eta(A))))),quotient(
% i(
% difference(
% i(
% i(A)),
% t(
% i(
% i(
% i(i(A)))),
% eta(A)))),
% difference(
% i(
% i(A)),
% difference(
% i(
% i(A)),
% t(
% i(
% i(
% i(i(A)))),
% eta(A))))))))
% -> i(i(A))
% Current number of equations to process: 559
% Current number of ordered equations: 0
% Current number of rules: 890
% New rule produced :
% [2222]
% difference(t(quotient(A,quotient(eta(B),quotient(i(A),B))),quotient(A,B)),
% difference(B,quotient(A,B))) -> quotient(A,quotient(eta(B),quotient(i(A),B)))
% Current number of equations to process: 558
% Current number of ordered equations: 0
% Current number of rules: 891
% New rule produced :
% [2223]
% quotient(i(i(A)),t(quotient(eta(A),i(t(A,i(quotient(A,j(A)))))),i(t(A,
% i(quotient(A,
% j(A)))))))
% -> i(A)
% Current number of equations to process: 557
% Current number of ordered equations: 0
% Current number of rules: 892
% New rule produced :
% [2224]
% quotient(difference(A,quotient(quotient(i(quotient(A,j(A))),quotient(
% eta(difference(A,
% i(quotient(A,
% j(A))))),
% quotient(
% i(i(quotient(A,
% j(A)))),
% difference(A,
% i(quotient(A,
% j(A))))))),
% quotient(A,j(A)))),i(A)) -> j(j(A))
% Current number of equations to process: 556
% Current number of ordered equations: 0
% Current number of rules: 893
% New rule produced :
% [2225]
% quotient(j(eta(A)),quotient(eta(quotient(j(A),quotient(eta(A),i(t(A,i(
% quotient(A,
% j(A)))))))),
% quotient(eta(A),quotient(j(A),quotient(eta(A),i(t(A,
% i(
% quotient(A,
% j(A))))))))))
% -> i(A)
% Current number of equations to process: 555
% Current number of ordered equations: 0
% Current number of rules: 894
% New rule produced :
% [2226]
% quotient(difference(j(A),quotient(eta(A),j(eta(A)))),quotient(eta(A),
% j(eta(A)))) ->
% quotient(i(i(i(A))),quotient(eta(A),quotient(i(i(i(i(A)))),j(A))))
% Current number of equations to process: 554
% Current number of ordered equations: 0
% Current number of rules: 895
% New rule produced :
% [2227]
% difference(A,B) <->
% quotient(quotient(difference(B,A),quotient(eta(difference(B,difference(B,A))),
% quotient(i(difference(B,A)),difference(B,
% difference(B,A))))),B)
% Current number of equations to process: 553
% Current number of ordered equations: 1
% Current number of rules: 896
% New rule produced :
% [2228]
% quotient(quotient(difference(B,A),quotient(eta(difference(B,difference(B,A))),
% quotient(i(difference(B,A)),difference(B,
% difference(B,A))))),B)
% <-> difference(A,B)
% Current number of equations to process: 553
% Current number of ordered equations: 0
% Current number of rules: 897
% New rule produced :
% [2229]
% quotient(j(j(A)),quotient(eta(A),quotient(j(A),j(j(j(j(A))))))) -> j(j(j(A)))
% Current number of equations to process: 552
% Current number of ordered equations: 0
% Current number of rules: 898
% New rule produced :
% [2230]
% difference(difference(A,B),quotient(difference(B,A),quotient(eta(difference(B,
% difference(B,A))),
% quotient(i(difference(B,A)),
% difference(B,difference(B,A))))))
% -> B
% Current number of equations to process: 550
% Current number of ordered equations: 0
% Current number of rules: 899
% New rule produced :
% [2231]
% quotient(quotient(quotient(quotient(A,j(A)),i(A)),quotient(A,quotient(
% quotient(A,
% j(A)),i(A)))),
% quotient(A,j(A))) -> quotient(quotient(A,j(A)),i(A))
% Current number of equations to process: 549
% Current number of ordered equations: 0
% Current number of rules: 900
% New rule produced :
% [2232]
% difference(quotient(A,quotient(eta(quotient(A,B)),quotient(i(A),quotient(A,B)))),
% difference(quotient(A,B),t(quotient(A,B),B))) -> t(quotient(A,B),B)
% Current number of equations to process: 548
% Current number of ordered equations: 0
% Current number of rules: 901
% New rule produced :
% [2233]
% quotient(difference(A,j(j(j(j(A))))),j(j(j(j(A))))) ->
% quotient(quotient(j(j(A)),i(A)),quotient(eta(A),quotient(i(quotient(j(j(A)),
% i(A))),A)))
% Current number of equations to process: 547
% Current number of ordered equations: 0
% Current number of rules: 902
% New rule produced :
% [2234]
% quotient(difference(i(quotient(A,j(A))),quotient(difference(i(A),quotient(
% quotient(A,
% j(A)),
% i(A))),A)),
% quotient(A,j(A))) -> quotient(quotient(A,j(A)),i(A))
% Current number of equations to process: 546
% Current number of ordered equations: 0
% Current number of rules: 903
% New rule produced :
% [2235]
% quotient(quotient(j(quotient(i(quotient(eta(A),quotient(j(B),A))),j(eta(B)))),
% j(j(B))),A) ->
% quotient(quotient(A,j(eta(B))),quotient(eta(B),i(quotient(A,j(eta(B))))))
% Rule
% [1758]
% quotient(eta(A),i(quotient(quotient(difference(j(eta(B)),quotient(eta(
% quotient(
% eta(A),
% j(eta(B)))),
% i(quotient(C,
% quotient(quotient(
% j(
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(B),C))),
% j(
% eta(B)))),
% j(
% j(B))),C))))),
% eta(B)),C))) -> j(j(quotient(eta(A),j(eta(B)))))
% collapsed.
% Rule
% [1865]
% quotient(quotient(quotient(quotient(eta(A),quotient(i(quotient(eta(quotient(
% eta(
% quotient(B,
% quotient(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(B),
% quotient(
% j(C),B))),
% j(
% eta(C)))),
% j(
% j(C))),B))),
% quotient(
% i(A),
% quotient(B,
% quotient(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(B),
% quotient(
% j(C),B))),
% j(
% eta(C)))),
% j(
% j(C))),B))))),
% quotient(i(quotient(
% quotient(
% eta(A),
% quotient(
% i(quotient(B,
% quotient(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(B),
% quotient(
% j(C),B))),
% j(
% eta(C)))),
% j(
% j(C))),B))),
% i(A))),
% quotient(B,
% quotient(
% quotient(
% j(quotient(
% i(
% quotient(
% eta(B),
% quotient(
% j(C),B))),
% j(
% eta(C)))),
% j(j(C))),B)))),
% quotient(eta(quotient(B,
% quotient(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(B),
% quotient(
% j(C),B))),
% j(
% eta(C)))),
% j(
% j(C))),B))),
% quotient(i(A),quotient(B,
% quotient(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(B),
% quotient(
% j(C),B))),
% j(
% eta(C)))),
% j(
% j(C))),B))))))),A)),
% i(A)),A),eta(C)) -> quotient(eta(A),quotient(i(B),j(j(A))))
% collapsed.
% Rule
% [1967]
% quotient(eta(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% quotient(
% j(quotient(
% i(quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(eta(B)))),
% j(j(B))),A),A)))),
% quotient(i(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(j(quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(j(B))),A),A)))))
% ->
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),i(i(B)))),A),A)
% collapsed.
% Current number of equations to process: 548
% Current number of ordered equations: 0
% Current number of rules: 901
% New rule produced :
% [2236]
% quotient(difference(A,i(quotient(eta(A),quotient(i(B),A)))),i(quotient(
% eta(A),
% quotient(
% i(B),A)))) <->
% quotient(difference(B,eta(A)),quotient(eta(A),quotient(i(difference(B,eta(A))),A)))
% Current number of equations to process: 547
% Current number of ordered equations: 1
% Current number of rules: 902
% New rule produced :
% [2237]
% quotient(difference(B,eta(A)),quotient(eta(A),quotient(i(difference(B,eta(A))),A)))
% <->
% quotient(difference(A,i(quotient(eta(A),quotient(i(B),A)))),i(quotient(
% eta(A),
% quotient(
% i(B),A))))
% Current number of equations to process: 547
% Current number of ordered equations: 0
% Current number of rules: 903
% New rule produced :
% [2238]
% quotient(difference(A,quotient(eta(B),i(i(A)))),quotient(eta(B),i(i(A)))) ->
% quotient(quotient(eta(B),j(eta(A))),quotient(eta(A),quotient(i(quotient(
% eta(B),
% j(eta(A)))),A)))
% Current number of equations to process: 546
% Current number of ordered equations: 0
% Current number of rules: 904
% New rule produced :
% [2239]
% quotient(difference(j(A),quotient(eta(B),i(A))),quotient(eta(B),i(A))) ->
% quotient(quotient(eta(B),j(eta(A))),quotient(eta(A),quotient(i(quotient(
% eta(B),
% j(eta(A)))),
% j(A))))
% Current number of equations to process: 545
% Current number of ordered equations: 0
% Current number of rules: 905
% New rule produced :
% [2240]
% quotient(quotient(difference(A,B),quotient(eta(difference(A,difference(A,B))),
% quotient(i(difference(A,B)),difference(A,
% difference(A,B))))),
% difference(B,A)) -> t(difference(B,A),A)
% Current number of equations to process: 544
% Current number of ordered equations: 0
% Current number of rules: 906
% New rule produced :
% [2241]
% quotient(quotient(i(A),quotient(eta(A),i(t(i(i(A)),i(t(i(A),i(t(A,i(quotient(A,
% j(A))))))))))),
% j(eta(A))) -> quotient(j(A),quotient(eta(A),i(t(A,i(quotient(A,j(A)))))))
% Current number of equations to process: 543
% Current number of ordered equations: 0
% Current number of rules: 907
% New rule produced :
% [2242]
% quotient(quotient(quotient(A,j(A)),i(A)),t(t(quotient(A,j(A)),A),quotient(A,
% j(A)))) ->
% t(t(t(quotient(A,j(A)),A),quotient(A,j(A))),t(quotient(A,j(A)),A))
% Current number of equations to process: 542
% Current number of ordered equations: 0
% Current number of rules: 908
% New rule produced :
% [2243]
% quotient(i(i(i(A))),t(quotient(eta(A),i(t(i(A),i(t(A,i(quotient(A,j(A)))))))),
% i(t(i(A),i(t(A,i(quotient(A,j(A))))))))) -> i(i(A))
% Current number of equations to process: 541
% Current number of ordered equations: 0
% Current number of rules: 909
% New rule produced :
% [2244]
% difference(t(difference(A,B),B),quotient(difference(B,A),quotient(eta(
% difference(B,
% difference(B,A))),
% quotient(i(difference(B,A)),
% difference(B,
% difference(B,A))))))
% -> difference(A,B)
% Current number of equations to process: 540
% Current number of ordered equations: 0
% Current number of rules: 910
% New rule produced :
% [2245]
% quotient(quotient(i(i(A)),quotient(eta(difference(j(j(A)),i(i(A)))),quotient(
% i(
% i(i(A))),
% difference(
% j(
% j(A)),
% i(
% i(A)))))),
% eta(A)) -> eta(A)
% Current number of equations to process: 539
% Current number of ordered equations: 0
% Current number of rules: 911
% New rule produced :
% [2246]
% difference(quotient(difference(A,B),quotient(eta(difference(A,difference(A,B))),
% quotient(i(difference(A,B)),difference(A,
% difference(A,B))))),
% difference(B,A)) -> quotient(difference(A,difference(B,A)),difference(B,A))
% Current number of equations to process: 537
% Current number of ordered equations: 0
% Current number of rules: 912
% New rule produced :
% [2247]
% quotient(t(quotient(A,B),B),quotient(eta(quotient(A,quotient(eta(quotient(A,B)),
% quotient(i(A),quotient(A,B))))),
% quotient(i(t(quotient(A,B),B)),quotient(A,
% quotient(eta(
% quotient(A,B)),
% quotient(i(A),
% quotient(A,B)))))))
% -> quotient(A,B)
% Current number of equations to process: 536
% Current number of ordered equations: 0
% Current number of rules: 913
% New rule produced :
% [2248]
% quotient(quotient(A,j(A)),quotient(eta(quotient(j(quotient(i(quotient(
% eta(quotient(A,
% j(A))),
% quotient(
% j(A),quotient(A,
% j(A))))),
% j(eta(A)))),j(j(A)))),
% quotient(i(quotient(A,j(A))),quotient(j(quotient(
% i(quotient(
% eta(
% quotient(A,
% j(A))),
% quotient(
% j(A),
% quotient(A,
% j(A))))),
% j(eta(A)))),
% j(j(A)))))) ->
% t(A,i(quotient(A,j(A))))
% Current number of equations to process: 535
% Current number of ordered equations: 0
% Current number of rules: 914
% New rule produced :
% [2249]
% difference(difference(i(i(A)),t(i(i(i(i(A)))),eta(A))),difference(i(i(
% i(i(A)))),
% t(i(i(i(i(A)))),
% eta(A)))) ->
% t(i(i(i(i(A)))),eta(A))
% Current number of equations to process: 534
% Current number of ordered equations: 0
% Current number of rules: 915
% New rule produced :
% [2250]
% quotient(quotient(difference(A,B),quotient(eta(difference(A,difference(A,B))),
% quotient(i(difference(A,B)),difference(A,
% difference(A,B))))),
% t(difference(B,A),A)) -> t(t(difference(B,A),A),difference(B,A))
% Current number of equations to process: 533
% Current number of ordered equations: 0
% Current number of rules: 916
% New rule produced :
% [2251]
% difference(t(t(t(quotient(A,j(A)),A),quotient(A,j(A))),t(quotient(A,j(A)),A)),
% quotient(quotient(A,j(A)),i(A))) -> t(t(quotient(A,j(A)),A),quotient(A,j(A)))
% Current number of equations to process: 532
% Current number of ordered equations: 0
% Current number of rules: 917
% New rule produced :
% [2252]
% t(eta(A),quotient(difference(B,quotient(j(eta(A)),quotient(quotient(eta(B),
% quotient(eta(A),B)),
% j(eta(A))))),quotient(
% j(eta(A)),B)))
% -> t(eta(A),quotient(j(eta(A)),quotient(B,eta(A))))
% Current number of equations to process: 531
% Current number of ordered equations: 0
% Current number of rules: 918
% New rule produced :
% [2253]
% difference(j(j(A)),quotient(j(j(j(A))),quotient(eta(A),quotient(j(j(A)),
% j(j(j(j(j(A)))))))))
% -> eta(A)
% Current number of equations to process: 530
% Current number of ordered equations: 0
% Current number of rules: 919
% New rule produced :
% [2254]
% quotient(i(t(i(i(i(A))),i(t(i(i(A)),i(t(i(A),i(t(A,i(quotient(A,j(A))))))))))),
% i(i(i(i(i(A)))))) -> i(i(i(A)))
% Current number of equations to process: 529
% Current number of ordered equations: 0
% Current number of rules: 920
% New rule produced :
% [2255]
% quotient(quotient(quotient(i(difference(A,B)),quotient(eta(difference(B,
% i(difference(A,B)))),
% quotient(i(i(difference(A,B))),
% difference(B,i(difference(A,B)))))),
% difference(A,B)),A) -> difference(A,B)
% Current number of equations to process: 528
% Current number of ordered equations: 0
% Current number of rules: 921
% New rule produced :
% [2256]
% quotient(difference(A,quotient(B,A)),t(quotient(B,quotient(eta(A),quotient(
% i(B),A))),
% quotient(B,A))) ->
% t(t(quotient(B,quotient(eta(A),quotient(i(B),A))),quotient(B,A)),quotient(B,
% quotient(
% eta(A),
% quotient(
% i(B),A))))
% Current number of equations to process: 527
% Current number of ordered equations: 0
% Current number of rules: 922
% New rule produced :
% [2257]
% quotient(i(i(i(i(A)))),t(quotient(eta(A),i(t(i(i(A)),i(t(i(A),i(t(A,i(
% quotient(A,
% j(A)))))))))),
% i(t(i(i(A)),i(t(i(A),i(t(A,i(quotient(A,j(A)))))))))))
% -> i(i(i(A)))
% Current number of equations to process: 526
% Current number of ordered equations: 0
% Current number of rules: 923
% New rule produced :
% [2258]
% quotient(quotient(quotient(A,j(A)),quotient(eta(difference(j(j(A)),quotient(A,
% j(A)))),
% quotient(i(quotient(A,j(A))),difference(
% j(j(A)),
% quotient(A,
% j(A)))))),
% eta(A)) -> j(A)
% Current number of equations to process: 525
% Current number of ordered equations: 0
% Current number of rules: 924
% New rule produced :
% [2259]
% quotient(i(t(i(i(A)),i(t(i(A),i(t(A,i(quotient(A,j(A))))))))),i(i(i(i(A)))))
% ->
% t(quotient(eta(A),quotient(j(eta(A)),i(i(i(A))))),quotient(j(eta(A)),
% i(i(i(A)))))
% Current number of equations to process: 524
% Current number of ordered equations: 0
% Current number of rules: 925
% New rule produced :
% [2260]
% t(eta(B),difference(A,eta(B))) ->
% quotient(quotient(quotient(A,eta(B)),quotient(eta(quotient(j(quotient(
% i(quotient(
% eta(quotient(A,
% eta(B))),
% quotient(
% j(B),quotient(A,
% eta(B))))),
% j(eta(B)))),
% j(j(B)))),quotient(
% i(quotient(A,
% eta(B))),
% quotient(
% j(quotient(
% i(quotient(
% eta(quotient(A,
% eta(B))),
% quotient(
% j(B),
% quotient(A,
% eta(B))))),
% j(eta(B)))),
% j(j(B)))))),
% eta(B))
% Current number of equations to process: 523
% Current number of ordered equations: 0
% Current number of rules: 926
% New rule produced :
% [2261]
% quotient(difference(j(B),j(j(A))),eta(A)) <->
% quotient(quotient(eta(A),B),quotient(eta(difference(i(i(A)),quotient(
% eta(A),B))),
% quotient(i(quotient(eta(A),B)),difference(
% i(i(A)),quotient(
% eta(A),B)))))
% Current number of equations to process: 522
% Current number of ordered equations: 1
% Current number of rules: 927
% New rule produced :
% [2262]
% quotient(quotient(eta(A),B),quotient(eta(difference(i(i(A)),quotient(
% eta(A),B))),
% quotient(i(quotient(eta(A),B)),difference(
% i(i(A)),quotient(
% eta(A),B)))))
% <-> quotient(difference(j(B),j(j(A))),eta(A))
% Current number of equations to process: 522
% Current number of ordered equations: 0
% Current number of rules: 928
% New rule produced :
% [2263]
% difference(t(t(difference(A,B),B),difference(A,B)),quotient(difference(B,A),
% quotient(eta(difference(B,
% difference(B,A))),
% quotient(i(difference(B,A)),
% difference(B,difference(B,A))))))
% -> t(difference(A,B),B)
% Current number of equations to process: 521
% Current number of ordered equations: 0
% Current number of rules: 929
% New rule produced :
% [2264]
% difference(i(quotient(j(A),j(j(A)))),quotient(difference(A,j(A)),quotient(
% eta(
% difference(A,
% difference(A,
% j(A)))),
% quotient(
% i(difference(A,
% j(A))),
% difference(A,
% difference(A,
% j(A)))))))
% -> A
% Current number of equations to process: 520
% Current number of ordered equations: 0
% Current number of rules: 930
% Rule [1922]
% quotient(difference(t(t(quotient(A,B),B),quotient(A,B)),t(t(t(quotient(A,B),B),
% quotient(A,B)),
% t(quotient(A,B),B))),
% t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B))) ->
% difference(A,t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B))) is composed into
% [1922]
% quotient(difference(t(t(quotient(A,B),B),quotient(A,B)),t(t(t(quotient(A,B),B),
% quotient(A,B)),
% t(quotient(A,B),B))),
% t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B))) ->
% quotient(A,quotient(eta(t(t(quotient(A,B),B),quotient(A,B))),quotient(
% i(A),t(t(
% quotient(A,B),B),
% quotient(A,B)))))
% New rule produced :
% [2265]
% difference(A,t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B))) ->
% quotient(A,quotient(eta(t(t(quotient(A,B),B),quotient(A,B))),quotient(
% i(A),t(t(
% quotient(A,B),B),
% quotient(A,B)))))
% Current number of equations to process: 519
% Current number of ordered equations: 0
% Current number of rules: 931
% New rule produced :
% [2266] t(quotient(eta(A),j(j(j(j(j(A)))))),j(j(j(j(j(A)))))) -> j(j(j(A)))
% Current number of equations to process: 545
% Current number of ordered equations: 0
% Current number of rules: 932
% New rule produced :
% [2267]
% quotient(difference(A,t(A,i(quotient(A,j(A))))),t(A,i(quotient(A,j(A))))) ->
% i(A)
% Current number of equations to process: 544
% Current number of ordered equations: 0
% Current number of rules: 933
% New rule produced :
% [2268]
% quotient(difference(A,t(A,eta(B))),t(A,eta(B))) ->
% quotient(quotient(A,j(eta(B))),quotient(A,quotient(j(eta(B)),A)))
% Rule
% [2143]
% quotient(difference(i(i(i(i(A)))),t(i(i(i(i(A)))),eta(A))),t(i(i(i(i(A)))),
% eta(A))) ->
% difference(i(i(A)),t(i(i(i(i(A)))),eta(A))) collapsed.
% Rule
% [2213]
% difference(A,quotient(quotient(difference(A,t(A,eta(B))),t(A,eta(B))),
% quotient(eta(difference(quotient(A,j(eta(B))),quotient(difference(A,
% t(A,
% eta(B))),
% t(A,eta(B))))),
% quotient(i(quotient(difference(A,t(A,eta(B))),t(A,eta(B)))),
% difference(quotient(A,j(eta(B))),quotient(difference(A,t(A,
% eta(B))),
% t(A,eta(B)))))))) ->
% quotient(A,j(eta(B))) collapsed.
% Current number of equations to process: 544
% Current number of ordered equations: 0
% Current number of rules: 932
% New rule produced :
% [2269]
% quotient(difference(A,t(A,quotient(A,B))),t(A,quotient(A,B))) ->
% quotient(quotient(A,quotient(B,A)),quotient(A,quotient(quotient(B,A),A)))
% Current number of equations to process: 544
% Current number of ordered equations: 0
% Current number of rules: 933
% New rule produced :
% [2270]
% quotient(A,t(quotient(eta(A),i(quotient(j(A),j(j(A))))),i(quotient(j(A),
% j(j(A)))))) ->
% j(A)
% Current number of equations to process: 545
% Current number of ordered equations: 0
% Current number of rules: 934
% New rule produced :
% [2271]
% quotient(eta(quotient(eta(A),j(eta(A)))),j(quotient(j(eta(quotient(eta(A),
% j(eta(A))))),
% eta(A)))) -> j(eta(A))
% Current number of equations to process: 544
% Current number of ordered equations: 0
% Current number of rules: 935
% New rule produced :
% [2272]
% quotient(j(t(eta(A),B)),quotient(eta(t(eta(A),C)),t(eta(A),quotient(B,C))))
% -> t(eta(A),quotient(j(B),quotient(eta(C),quotient(B,C))))
% Current number of equations to process: 546
% Current number of ordered equations: 0
% Current number of rules: 936
% New rule produced :
% [2273]
% quotient(A,quotient(i(i(A)),quotient(j(eta(A)),i(i(A))))) ->
% quotient(A,quotient(eta(A),i(t(i(A),i(t(A,i(quotient(A,j(A)))))))))
% Current number of equations to process: 545
% Current number of ordered equations: 0
% Current number of rules: 937
% New rule produced :
% [2274]
% quotient(t(eta(A),B),quotient(eta(t(eta(A),C)),t(eta(A),quotient(i(B),j(C)))))
% -> t(eta(A),quotient(B,quotient(eta(C),quotient(i(B),j(C)))))
% Current number of equations to process: 544
% Current number of ordered equations: 0
% Current number of rules: 938
% New rule produced :
% [2275]
% quotient(t(eta(A),B),quotient(eta(t(eta(A),C)),t(eta(A),quotient(i(B),i(C)))))
% -> t(eta(A),quotient(B,quotient(eta(C),quotient(i(B),i(C)))))
% Current number of equations to process: 543
% Current number of ordered equations: 0
% Current number of rules: 939
% New rule produced :
% [2276]
% quotient(difference(A,quotient(difference(i(quotient(A,j(A))),difference(
% j(A),quotient(A,
% j(A)))),
% quotient(A,j(A)))),A) ->
% quotient(t(A,quotient(A,quotient(eta(quotient(A,j(A))),A))),A)
% Current number of equations to process: 544
% Current number of ordered equations: 0
% Current number of rules: 940
% New rule produced :
% [2277]
% t(eta(A),quotient(j(eta(A)),quotient(eta(quotient(j(eta(A)),B)),quotient(
% eta(A),
% quotient(
% j(eta(A)),B)))))
% -> t(eta(A),quotient(j(eta(A)),quotient(quotient(j(eta(A)),B),eta(A))))
% Current number of equations to process: 543
% Current number of ordered equations: 0
% Current number of rules: 941
% New rule produced :
% [2278]
% difference(i(i(A)),t(i(i(i(i(A)))),eta(A))) ->
% quotient(i(i(A)),quotient(eta(A),i(t(i(A),i(t(A,i(quotient(A,j(A)))))))))
% Rule
% [2221]
% difference(i(i(i(i(A)))),quotient(difference(i(i(A)),t(i(i(i(i(A)))),eta(A))),
% quotient(eta(difference(i(i(A)),difference(i(i(A)),
% t(i(i(i(i(A)))),
% eta(A))))),quotient(
% i(
% difference(
% i(
% i(A)),
% t(
% i(
% i(
% i(i(A)))),
% eta(A)))),
% difference(
% i(
% i(A)),
% difference(
% i(
% i(A)),
% t(
% i(
% i(
% i(i(A)))),
% eta(A))))))))
% -> i(i(A)) collapsed.
% Rule
% [2249]
% difference(difference(i(i(A)),t(i(i(i(i(A)))),eta(A))),difference(i(i(
% i(i(A)))),
% t(i(i(i(i(A)))),
% eta(A)))) ->
% t(i(i(i(i(A)))),eta(A)) collapsed.
% Current number of equations to process: 544
% Current number of ordered equations: 0
% Current number of rules: 940
% New rule produced :
% [2279]
% quotient(difference(t(A,eta(B)),t(t(A,eta(B)),A)),t(t(A,eta(B)),A)) ->
% quotient(quotient(A,j(eta(B))),quotient(eta(t(A,eta(B))),quotient(i(quotient(A,
% j(
% eta(B)))),
% t(A,eta(B)))))
% Current number of equations to process: 543
% Current number of ordered equations: 0
% Current number of rules: 941
% New rule produced :
% [2280]
% quotient(difference(quotient(A,B),t(quotient(A,B),B)),quotient(A,quotient(
% eta(
% quotient(A,B)),
% quotient(
% i(A),
% quotient(A,B)))))
% ->
% t(quotient(A,quotient(eta(quotient(A,B)),quotient(i(A),quotient(A,B)))),
% t(quotient(A,B),B))
% Current number of equations to process: 542
% Current number of ordered equations: 0
% Current number of rules: 942
% New rule produced :
% [2281]
% quotient(quotient(j(quotient(i(quotient(eta(A),quotient(j(A),i(i(i(i(i(A)))))))),
% j(eta(A)))),j(j(A))),i(i(i(i(i(A)))))) ->
% t(i(i(i(i(i(A))))),eta(A))
% Current number of equations to process: 541
% Current number of ordered equations: 0
% Current number of rules: 943
% New rule produced :
% [2282]
% quotient(difference(quotient(A,B),quotient(A,quotient(eta(B),quotient(i(A),B)))),
% quotient(A,quotient(eta(B),quotient(i(A),B)))) ->
% quotient(difference(B,quotient(A,B)),quotient(eta(quotient(A,B)),quotient(
% i(difference(B,
% quotient(A,B))),
% quotient(A,B))))
% Current number of equations to process: 540
% Current number of ordered equations: 0
% Current number of rules: 944
% New rule produced :
% [2283]
% quotient(difference(j(j(j(j(A)))),t(j(j(j(j(A)))),A)),t(j(j(j(j(A)))),A)) ->
% quotient(quotient(j(j(A)),i(A)),quotient(eta(A),quotient(i(quotient(j(j(A)),
% i(A))),j(j(
% j(j(A)))))))
% Current number of equations to process: 539
% Current number of ordered equations: 0
% Current number of rules: 945
% New rule produced :
% [2284]
% quotient(quotient(A,quotient(B,A)),quotient(eta(quotient(j(quotient(i(
% quotient(
% eta(
% quotient(A,
% quotient(B,A))),
% quotient(
% j(A),
% quotient(A,
% quotient(B,A))))),
% j(eta(A)))),
% j(j(A)))),quotient(i(
% quotient(A,
% quotient(B,A))),
% quotient(j(
% quotient(
% i(
% quotient(
% eta(
% quotient(A,
% quotient(B,A))),
% quotient(
% j(A),
% quotient(A,
% quotient(B,A))))),
% j(
% eta(A)))),
% j(j(A)))))) ->
% quotient(i(quotient(A,B)),A)
% Current number of equations to process: 538
% Current number of ordered equations: 0
% Current number of rules: 946
% New rule produced :
% [2285]
% quotient(t(i(i(A)),eta(A)),quotient(eta(difference(A,t(i(i(A)),eta(A)))),
% quotient(i(t(i(i(A)),eta(A))),difference(A,
% t(i(i(A)),eta(A))))))
% -> i(i(A))
% Current number of equations to process: 537
% Current number of ordered equations: 0
% Current number of rules: 947
% New rule produced :
% [2286]
% quotient(difference(quotient(eta(A),i(B)),t(quotient(eta(A),i(B)),j(B))),
% t(quotient(eta(A),i(B)),j(B))) ->
% quotient(quotient(eta(A),j(eta(B))),quotient(eta(A),i(quotient(eta(B),
% quotient(i(quotient(
% eta(A),
% j(eta(B)))),B)))))
% Current number of equations to process: 536
% Current number of ordered equations: 0
% Current number of rules: 948
% New rule produced :
% [2287]
% quotient(quotient(quotient(j(B),eta(A)),quotient(eta(quotient(j(quotient(
% i(quotient(
% eta(
% quotient(
% j(B),
% eta(A))),
% quotient(
% j(A),
% quotient(
% j(B),
% eta(A))))),
% j(eta(A)))),
% j(j(A)))),quotient(
% i(quotient(
% j(B),
% eta(A))),
% quotient(
% j(quotient(
% i(quotient(
% eta(
% quotient(
% j(B),
% eta(A))),
% quotient(
% j(A),
% quotient(
% j(B),
% eta(A))))),
% j(eta(A)))),
% j(j(A)))))),
% eta(A)) ->
% quotient(j(t(eta(A),B)),quotient(eta(quotient(j(B),eta(A))),quotient(
% t(eta(A),B),
% quotient(
% j(B),eta(A)))))
% Current number of equations to process: 535
% Current number of ordered equations: 0
% Current number of rules: 949
% New rule produced :
% [2288]
% quotient(quotient(quotient(i(B),eta(A)),quotient(eta(quotient(j(quotient(
% i(quotient(
% eta(
% quotient(
% i(B),
% eta(A))),
% quotient(
% j(A),
% quotient(
% i(B),
% eta(A))))),
% j(eta(A)))),
% j(j(A)))),quotient(
% i(quotient(
% i(B),
% eta(A))),
% quotient(
% j(quotient(
% i(quotient(
% eta(
% quotient(
% i(B),
% eta(A))),
% quotient(
% j(A),
% quotient(
% i(B),
% eta(A))))),
% j(eta(A)))),
% j(j(A)))))),
% eta(A)) ->
% quotient(i(t(eta(A),B)),quotient(eta(quotient(i(B),eta(A))),quotient(
% i(i(t(eta(A),B))),
% quotient(
% i(B),eta(A)))))
% Current number of equations to process: 534
% Current number of ordered equations: 0
% Current number of rules: 950
% New rule produced :
% [2289]
% quotient(difference(i(A),quotient(quotient(i(A),quotient(eta(quotient(
% eta(quotient(A,
% j(A))),
% quotient(
% i(i(A)),
% i(quotient(A,
% j(A)))))),
% quotient(i(i(A)),quotient(
% eta(
% quotient(A,
% j(A))),
% quotient(
% i(i(A)),
% i(quotient(A,
% j(A)))))))),A)),A)
% ->
% quotient(i(A),quotient(eta(quotient(A,j(A))),quotient(i(i(A)),i(quotient(A,
% j(A))))))
% Current number of equations to process: 533
% Current number of ordered equations: 0
% Current number of rules: 951
% New rule produced :
% [2290]
% difference(t(t(quotient(A,quotient(eta(B),quotient(i(A),B))),quotient(A,B)),
% quotient(A,quotient(eta(B),quotient(i(A),B)))),difference(B,
% quotient(A,B))) ->
% t(quotient(A,quotient(eta(B),quotient(i(A),B))),quotient(A,B))
% Current number of equations to process: 532
% Current number of ordered equations: 0
% Current number of rules: 952
% New rule produced :
% [2291]
% quotient(difference(i(quotient(A,B)),quotient(difference(i(B),A),B)),
% quotient(eta(A),quotient(i(difference(i(quotient(A,B)),quotient(difference(
% i(B),A),B))),A)))
% -> quotient(quotient(A,quotient(B,A)),quotient(A,quotient(quotient(B,A),A)))
% Current number of equations to process: 531
% Current number of ordered equations: 0
% Current number of rules: 953
% New rule produced :
% [2292]
% quotient(i(i(A)),quotient(eta(A),i(t(i(i(i(A))),i(t(i(i(A)),i(t(i(A),
% i(t(A,i(
% quotient(A,
% j(A)))))))))))))
% -> quotient(i(i(A)),quotient(eta(A),i(t(i(A),i(t(A,i(quotient(A,j(A)))))))))
% Current number of equations to process: 530
% Current number of ordered equations: 0
% Current number of rules: 954
% New rule produced :
% [2293]
% quotient(difference(quotient(eta(A),i(i(B))),t(quotient(eta(A),i(i(B))),B)),
% t(quotient(eta(A),i(i(B))),B)) ->
% quotient(quotient(eta(A),j(eta(B))),quotient(eta(A),i(quotient(eta(B),
% quotient(i(quotient(
% eta(A),
% j(eta(B)))),
% i(B))))))
% Current number of equations to process: 529
% Current number of ordered equations: 0
% Current number of rules: 955
% New rule produced :
% [2294]
% quotient(difference(A,j(eta(B))),eta(B)) <->
% quotient(difference(j(eta(B)),A),quotient(eta(difference(j(eta(B)),difference(
% j(
% eta(B)),A))),
% quotient(i(difference(j(eta(B)),A)),
% difference(j(eta(B)),difference(j(eta(B)),A)))))
% Current number of equations to process: 528
% Current number of ordered equations: 1
% Current number of rules: 956
% New rule produced :
% [2295]
% quotient(difference(j(eta(B)),A),quotient(eta(difference(j(eta(B)),difference(
% j(
% eta(B)),A))),
% quotient(i(difference(j(eta(B)),A)),
% difference(j(eta(B)),difference(j(eta(B)),A)))))
% <-> quotient(difference(A,j(eta(B))),eta(B))
% Current number of equations to process: 528
% Current number of ordered equations: 0
% Current number of rules: 957
% New rule produced :
% [2296]
% difference(t(difference(A,quotient(quotient(i(difference(j(eta(B)),C)),
% quotient(eta(difference(C,i(difference(
% j(eta(B)),C)))),
% quotient(i(i(difference(j(eta(B)),C))),
% difference(C,i(difference(j(eta(B)),C)))))),
% difference(j(eta(B)),C))),eta(B)),difference(
% j(quotient(
% i(A),j(eta(B)))),C))
% ->
% difference(A,quotient(quotient(i(difference(j(eta(B)),C)),quotient(eta(
% difference(C,
% i(
% difference(
% j(
% eta(B)),C)))),
% quotient(i(
% i(
% difference(
% j(
% eta(B)),C))),
% difference(C,
% i(difference(
% j(eta(B)),C)))))),
% difference(j(eta(B)),C)))
% Current number of equations to process: 527
% Current number of ordered equations: 0
% Current number of rules: 958
% New rule produced :
% [2297]
% difference(quotient(eta(A),quotient(i(B),A)),C) <->
% quotient(difference(B,quotient(quotient(i(difference(A,C)),quotient(eta(
% difference(C,
% i(
% difference(A,C)))),
% quotient(i(
% i(
% difference(A,C))),
% difference(C,
% i(difference(A,C)))))),
% difference(A,C))),A)
% Current number of equations to process: 526
% Current number of ordered equations: 1
% Current number of rules: 959
% New rule produced :
% [2298]
% quotient(difference(B,quotient(quotient(i(difference(A,C)),quotient(eta(
% difference(C,
% i(
% difference(A,C)))),
% quotient(i(
% i(
% difference(A,C))),
% difference(C,
% i(difference(A,C)))))),
% difference(A,C))),A) <->
% difference(quotient(eta(A),quotient(i(B),A)),C)
% Current number of equations to process: 526
% Current number of ordered equations: 0
% Current number of rules: 960
% Rule [967] difference(A,i(i(A))) -> t(i(i(A)),eta(A)) is composed into
% [967] difference(A,i(i(A))) -> j(eta(A))
% Rule [917] quotient(A,i(i(A))) -> t(i(i(A)),eta(A)) is composed into
% [917] quotient(A,i(i(A))) -> j(eta(A))
% New rule produced : [2299] t(i(i(A)),eta(A)) -> j(eta(A))
% Rule [991] quotient(i(i(A)),t(i(i(A)),eta(A))) -> A collapsed.
% Rule [1030] t(A,t(i(i(A)),eta(A))) -> eta(A) collapsed.
% Rule [1539] quotient(A,t(i(i(A)),eta(A))) -> t(t(i(i(A)),eta(A)),i(i(A)))
% collapsed.
% Rule
% [2044]
% quotient(A,t(t(i(i(A)),eta(A)),i(i(A)))) ->
% t(t(t(i(i(A)),eta(A)),i(i(A))),t(i(i(A)),eta(A))) collapsed.
% Rule
% [2148]
% quotient(A,t(t(t(i(i(A)),eta(A)),i(i(A))),t(i(i(A)),eta(A)))) ->
% t(t(t(t(i(i(A)),eta(A)),i(i(A))),t(i(i(A)),eta(A))),t(t(i(i(A)),eta(A)),
% i(i(A)))) collapsed.
% Rule
% [2285]
% quotient(t(i(i(A)),eta(A)),quotient(eta(difference(A,t(i(i(A)),eta(A)))),
% quotient(i(t(i(i(A)),eta(A))),difference(A,
% t(i(i(A)),eta(A))))))
% -> i(i(A)) collapsed.
% Current number of equations to process: 544
% Current number of ordered equations: 0
% Current number of rules: 955
% New rule produced : [2300] t(A,j(eta(A))) -> eta(A)
% Current number of equations to process: 543
% Current number of ordered equations: 0
% Current number of rules: 956
% New rule produced : [2301] t(j(eta(A)),i(i(A))) -> j(j(A))
% Current number of equations to process: 542
% Current number of ordered equations: 0
% Current number of rules: 957
% New rule produced :
% [2302]
% quotient(j(eta(A)),quotient(eta(difference(A,j(eta(A)))),quotient(eta(A),
% difference(A,
% j(eta(A)))))) ->
% i(i(A))
% Current number of equations to process: 540
% Current number of ordered equations: 0
% Current number of rules: 958
% New rule produced :
% [2303]
% quotient(quotient(j(j(j(A))),quotient(eta(A),quotient(j(j(A)),j(j(j(j(j(A)))))))),
% eta(A)) -> j(j(A))
% Current number of equations to process: 539
% Current number of ordered equations: 0
% Current number of rules: 959
% New rule produced :
% [2304]
% quotient(quotient(j(A),quotient(eta(A),i(t(A,i(quotient(A,j(A))))))),
% j(eta(A))) -> quotient(j(j(j(A))),quotient(eta(A),i(quotient(j(A),j(j(A))))))
% Current number of equations to process: 537
% Current number of ordered equations: 0
% Current number of rules: 960
% New rule produced :
% [2305]
% quotient(quotient(j(eta(A)),quotient(eta(quotient(eta(A),j(eta(A)))),
% quotient(eta(A),i(quotient(eta(A),j(eta(A))))))),
% eta(A)) -> eta(A)
% Current number of equations to process: 536
% Current number of ordered equations: 0
% Current number of rules: 961
% Rule [1621]
% t(eta(A),quotient(eta(A),i(quotient(j(quotient(i(quotient(eta(B),
% quotient(j(A),B))),
% j(eta(A)))),j(j(A)))))) ->
% quotient(eta(A),i(quotient(B,eta(A)))) is composed into [1621]
% t(eta(A),
% quotient(
% eta(A),i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(B),
% quotient(
% j(A),B))),
% j(
% eta(A)))),
% j(
% j(A))))))
% -> t(eta(A),B)
% New rule produced :
% [2306] quotient(eta(A),i(quotient(B,eta(A)))) -> t(eta(A),B)
% Rule
% [1490]
% quotient(t(eta(A),B),quotient(eta(A),i(quotient(quotient(eta(C),quotient(
% i(V_3),C)),
% eta(A))))) ->
% t(eta(A),quotient(B,quotient(eta(C),quotient(i(V_3),C)))) collapsed.
% Rule
% [1492]
% difference(quotient(eta(A),i(quotient(quotient(eta(B),quotient(i(C),B)),
% eta(A)))),t(eta(A),V_3)) ->
% t(eta(A),difference(quotient(eta(B),quotient(i(C),B)),V_3)) collapsed.
% Rule
% [1891]
% quotient(eta(A),i(quotient(eta(B),i(quotient(t(quotient(quotient(eta(C),
% quotient(i(V_3),C)),
% quotient(eta(B),i(quotient(
% eta(C),
% quotient(
% i(V_3),C))))),
% quotient(eta(B),i(quotient(
% eta(C),
% quotient(
% i(V_3),C))))),
% eta(B)))))) ->
% quotient(eta(A),i(quotient(eta(B),i(quotient(eta(C),quotient(i(V_3),C))))))
% collapsed.
% Current number of equations to process: 544
% Current number of ordered equations: 0
% Current number of rules: 959
% New rule produced :
% [2307] difference(i(i(A)),quotient(eta(A),i(quotient(A,j(A))))) -> A
% Current number of equations to process: 545
% Current number of ordered equations: 0
% Current number of rules: 960
% New rule produced :
% [2308]
% t(eta(A),quotient(j(eta(A)),quotient(eta(B),quotient(eta(A),B)))) ->
% t(eta(A),quotient(j(eta(A)),quotient(B,eta(A))))
% Rule
% [2277]
% t(eta(A),quotient(j(eta(A)),quotient(eta(quotient(j(eta(A)),B)),quotient(
% eta(A),
% quotient(
% j(eta(A)),B)))))
% -> t(eta(A),quotient(j(eta(A)),quotient(quotient(j(eta(A)),B),eta(A))))
% collapsed.
% Current number of equations to process: 547
% Current number of ordered equations: 0
% Current number of rules: 960
% Rule [2259]
% quotient(i(t(i(i(A)),i(t(i(A),i(t(A,i(quotient(A,j(A))))))))),i(
% i(
% i(i(A)))))
% ->
% t(quotient(eta(A),quotient(j(eta(A)),i(i(i(A))))),quotient(j(eta(A)),
% i(i(i(A))))) is composed into
% [2259]
% quotient(i(t(i(i(A)),i(t(i(A),i(t(A,i(quotient(A,j(A))))))))),i(i(i(i(A)))))
% -> i(i(A))
% New rule produced :
% [2309]
% t(quotient(eta(A),quotient(j(eta(A)),i(i(i(A))))),quotient(j(eta(A)),
% i(i(i(A))))) -> i(i(A))
% Current number of equations to process: 546
% Current number of ordered equations: 0
% Current number of rules: 961
% New rule produced :
% [2310]
% difference(i(i(i(A))),quotient(eta(A),j(eta(A)))) ->
% quotient(i(i(i(A))),quotient(eta(A),quotient(i(i(i(i(A)))),j(A))))
% Current number of equations to process: 545
% Current number of ordered equations: 0
% Current number of rules: 962
% New rule produced :
% [2311]
% quotient(j(quotient(i(quotient(eta(A),quotient(j(A),i(i(i(i(i(A)))))))),
% j(eta(A)))),j(j(A))) -> i(i(i(A)))
% Rule
% [2281]
% quotient(quotient(j(quotient(i(quotient(eta(A),quotient(j(A),i(i(i(i(i(A)))))))),
% j(eta(A)))),j(j(A))),i(i(i(i(i(A)))))) ->
% t(i(i(i(i(i(A))))),eta(A)) collapsed.
% Current number of equations to process: 546
% Current number of ordered equations: 0
% Current number of rules: 962
% New rule produced : [2312] t(i(i(i(i(i(A))))),eta(A)) -> j(eta(A))
% Rule
% [2141]
% quotient(i(i(i(A))),t(i(i(i(i(i(A))))),eta(A))) ->
% t(t(i(i(i(i(i(A))))),eta(A)),i(i(i(i(i(A)))))) collapsed.
% Rule
% [2146]
% quotient(i(i(i(A))),t(t(i(i(i(i(i(A))))),eta(A)),i(i(i(i(i(A))))))) ->
% t(t(t(i(i(i(i(i(A))))),eta(A)),i(i(i(i(i(A)))))),t(i(i(i(i(i(A))))),eta(A)))
% collapsed.
% Current number of equations to process: 547
% Current number of ordered equations: 0
% Current number of rules: 961
% New rule produced :
% [2313] quotient(i(i(i(A))),j(eta(A))) -> t(j(eta(A)),i(i(i(i(i(A))))))
% Current number of equations to process: 546
% Current number of ordered equations: 0
% Current number of rules: 962
% New rule produced :
% [2314]
% quotient(i(i(i(A))),t(j(eta(A)),i(i(i(i(i(A))))))) ->
% t(t(j(eta(A)),i(i(i(i(i(A)))))),j(eta(A)))
% Current number of equations to process: 545
% Current number of ordered equations: 0
% Current number of rules: 963
% New rule produced :
% [2315]
% difference(quotient(eta(A),j(eta(B))),quotient(eta(A),i(i(B)))) ->
% quotient(quotient(eta(A),j(eta(B))),quotient(eta(B),quotient(i(quotient(
% eta(A),
% j(eta(B)))),B)))
% Current number of equations to process: 544
% Current number of ordered equations: 0
% Current number of rules: 964
% New rule produced :
% [2316]
% difference(quotient(eta(A),j(eta(B))),quotient(eta(A),i(B))) ->
% quotient(quotient(eta(A),j(eta(B))),quotient(eta(B),quotient(i(quotient(
% eta(A),
% j(eta(B)))),
% j(B))))
% Current number of equations to process: 543
% Current number of ordered equations: 0
% Current number of rules: 965
% New rule produced :
% [2317]
% quotient(difference(i(quotient(quotient(i(A),B),A)),quotient(quotient(
% i(A),quotient(
% eta(B),
% quotient(
% i(i(A)),B))),A)),
% quotient(quotient(i(A),B),A)) -> quotient(i(A),B)
% Current number of equations to process: 542
% Current number of ordered equations: 0
% Current number of rules: 966
% New rule produced :
% [2318] quotient(t(eta(A),quotient(B,j(eta(A)))),B) -> eta(A)
% Current number of equations to process: 547
% Current number of ordered equations: 0
% Current number of rules: 967
% New rule produced :
% [2319] quotient(j(t(eta(A),B)),quotient(j(B),eta(A))) -> eta(A)
% Current number of equations to process: 549
% Current number of ordered equations: 0
% Current number of rules: 968
% New rule produced :
% [2320] quotient(i(t(eta(A),B)),quotient(i(B),eta(A))) -> eta(A)
% Current number of equations to process: 548
% Current number of ordered equations: 0
% Current number of rules: 969
% New rule produced :
% [2321]
% quotient(quotient(quotient(A,eta(B)),eta(B)),quotient(quotient(A,eta(B)),
% t(eta(B),A))) ->
% quotient(A,eta(B))
% Current number of equations to process: 548
% Current number of ordered equations: 0
% Current number of rules: 970
% Rule [2116]
% difference(j(eta(A)),i(i(i(i(A))))) ->
% t(eta(A),quotient(j(eta(A)),quotient(eta(difference(A,j(eta(A)))),
% quotient(i(j(eta(A))),difference(A,j(eta(A))))))) is composed into
% [2116]
% difference(j(eta(A)),i(i(i(i(A))))) ->
% t(eta(A),quotient(j(eta(A)),quotient(eta(quotient(A,quotient(eta(A),i(
% t(
% i(A),
% i(
% t(A,
% i(
% quotient(A,
% j(A)))))))))),
% quotient(i(j(eta(A))),quotient(A,quotient(
% eta(A),i(
% t(
% i(A),
% i(
% t(A,
% i(
% quotient(A,
% j(A)))))))))))))
% New rule produced :
% [2322]
% difference(A,j(eta(A))) ->
% quotient(A,quotient(eta(A),i(t(i(A),i(t(A,i(quotient(A,j(A)))))))))
% Rule
% [2198]
% quotient(difference(A,j(eta(A))),j(eta(A))) ->
% quotient(j(j(A)),quotient(eta(A),i(quotient(A,j(A))))) collapsed.
% Rule
% [2302]
% quotient(j(eta(A)),quotient(eta(difference(A,j(eta(A)))),quotient(eta(A),
% difference(A,
% j(eta(A)))))) ->
% i(i(A)) collapsed.
% Current number of equations to process: 549
% Current number of ordered equations: 0
% Current number of rules: 969
% New rule produced :
% [2323]
% t(eta(A),quotient(B,quotient(j(quotient(i(quotient(eta(B),quotient(j(A),B))),
% j(eta(A)))),j(j(A))))) -> eta(A)
% Current number of equations to process: 548
% Current number of ordered equations: 0
% Current number of rules: 970
% New rule produced :
% [2324]
% quotient(quotient(A,quotient(eta(A),i(t(i(A),i(t(A,i(quotient(A,j(A))))))))),
% j(eta(A))) -> quotient(j(j(A)),quotient(eta(A),i(quotient(A,j(A)))))
% Current number of equations to process: 547
% Current number of ordered equations: 0
% Current number of rules: 971
% New rule produced :
% [2325]
% quotient(j(quotient(quotient(j(quotient(eta(A),j(eta(A)))),j(eta(A))),
% j(eta(quotient(eta(A),j(eta(A))))))),j(j(quotient(eta(A),j(eta(A))))))
% -> j(eta(A))
% Current number of equations to process: 546
% Current number of ordered equations: 0
% Current number of rules: 972
% New rule produced :
% [2326]
% quotient(i(quotient(A,j(A))),quotient(eta(A),quotient(i(i(quotient(A,j(A)))),A)))
% -> j(A)
% Current number of equations to process: 548
% Current number of ordered equations: 0
% Current number of rules: 973
% New rule produced :
% [2327]
% quotient(A,quotient(eta(A),quotient(j(eta(B)),A))) ->
% t(quotient(A,j(eta(B))),j(eta(B)))
% Current number of equations to process: 550
% Current number of ordered equations: 0
% Current number of rules: 974
% New rule produced :
% [2328]
% quotient(difference(A,j(j(j(A)))),j(j(j(A)))) -> quotient(j(eta(A)),i(i(A)))
% Current number of equations to process: 550
% Current number of ordered equations: 0
% Current number of rules: 975
% New rule produced :
% [2329] quotient(quotient(i(quotient(A,j(A))),A),j(A)) -> i(quotient(A,j(A)))
% Current number of equations to process: 561
% Current number of ordered equations: 0
% Current number of rules: 976
% New rule produced :
% [2330] quotient(quotient(i(i(A)),quotient(j(eta(A)),i(i(A)))),A) -> i(i(A))
% Current number of equations to process: 563
% Current number of ordered equations: 0
% Current number of rules: 977
% New rule produced :
% [2331] quotient(t(j(eta(A)),i(i(i(i(i(A)))))),eta(A)) -> i(i(i(A)))
% Current number of equations to process: 562
% Current number of ordered equations: 0
% Current number of rules: 978
% New rule produced :
% [2332]
% quotient(quotient(quotient(A,j(j(j(A)))),quotient(j(j(A)),quotient(A,
% j(j(j(A)))))),A) ->
% quotient(A,j(j(j(A))))
% Current number of equations to process: 586
% Current number of ordered equations: 0
% Current number of rules: 979
% New rule produced :
% [2333]
% quotient(quotient(quotient(eta(A),B),quotient(quotient(eta(A),quotient(B,
% j(eta(A)))),
% quotient(eta(A),B))),eta(A)) ->
% quotient(eta(A),B)
% Current number of equations to process: 590
% Current number of ordered equations: 0
% Current number of rules: 980
% New rule produced :
% [2334]
% t(eta(A),quotient(difference(j(B),C),quotient(eta(B),quotient(i(difference(
% j(B),C)),
% j(B))))) ->
% t(eta(A),quotient(difference(j(B),C),C))
% Current number of equations to process: 589
% Current number of ordered equations: 0
% Current number of rules: 981
% New rule produced :
% [2335]
% t(eta(A),quotient(difference(i(B),C),quotient(eta(B),quotient(i(difference(
% i(B),C)),
% i(B))))) ->
% t(eta(A),quotient(difference(i(B),C),C))
% Current number of equations to process: 588
% Current number of ordered equations: 0
% Current number of rules: 982
% New rule produced :
% [2336]
% quotient(quotient(quotient(difference(A,B),A),quotient(quotient(difference(A,B),B),
% quotient(difference(A,B),A))),
% difference(A,B)) -> quotient(difference(A,B),A)
% Current number of equations to process: 587
% Current number of ordered equations: 0
% Current number of rules: 983
% New rule produced :
% [2337]
% quotient(quotient(i(t(A,i(quotient(A,j(A))))),quotient(i(i(A)),i(t(A,
% i(quotient(A,
% j(A))))))),A)
% -> i(t(A,i(quotient(A,j(A)))))
% Current number of equations to process: 589
% Current number of ordered equations: 0
% Current number of rules: 984
% New rule produced :
% [2338]
% quotient(t(quotient(A,quotient(B,A)),quotient(B,A)),quotient(A,quotient(
% quotient(A,
% quotient(B,A)),
% quotient(
% quotient(A,B),
% quotient(A,
% quotient(B,A))))))
% -> A
% Current number of equations to process: 588
% Current number of ordered equations: 0
% Current number of rules: 985
% New rule produced :
% [2339]
% quotient(quotient(quotient(A,quotient(B,A)),quotient(quotient(A,B),quotient(A,
% quotient(B,A)))),
% t(quotient(A,quotient(B,A)),A)) ->
% t(t(quotient(A,quotient(B,A)),A),quotient(A,quotient(B,A)))
% Current number of equations to process: 587
% Current number of ordered equations: 0
% Current number of rules: 986
% New rule produced :
% [2340]
% quotient(quotient(quotient(A,j(j(j(j(A))))),quotient(quotient(A,quotient(
% j(j(A)),
% i(A))),
% quotient(A,j(j(j(j(A))))))),A) ->
% quotient(A,j(j(j(j(A)))))
% Current number of equations to process: 586
% Current number of ordered equations: 0
% Current number of rules: 987
% New rule produced :
% [2341]
% quotient(quotient(j(eta(A)),quotient(B,j(eta(A)))),quotient(quotient(
% j(eta(A)),B),
% quotient(j(eta(A)),
% quotient(B,j(eta(A))))))
% -> quotient(quotient(j(eta(A)),quotient(B,j(eta(A)))),eta(A))
% Current number of equations to process: 585
% Current number of ordered equations: 0
% Current number of rules: 988
% New rule produced :
% [2342]
% quotient(quotient(quotient(A,quotient(eta(B),i(i(A)))),quotient(quotient(A,
% quotient(
% eta(B),
% j(eta(A)))),
% quotient(A,quotient(
% eta(B),
% i(i(A)))))),A)
% -> quotient(A,quotient(eta(B),i(i(A))))
% Current number of equations to process: 584
% Current number of ordered equations: 0
% Current number of rules: 989
% New rule produced :
% [2343]
% quotient(quotient(quotient(j(A),quotient(eta(B),i(A))),quotient(quotient(
% j(A),
% quotient(
% eta(B),
% j(eta(A)))),
% quotient(j(A),
% quotient(eta(B),
% i(A))))),j(A)) ->
% quotient(j(A),quotient(eta(B),i(A)))
% Current number of equations to process: 583
% Current number of ordered equations: 0
% Current number of rules: 990
% New rule produced :
% [2344]
% t(eta(A),quotient(quotient(quotient(eta(A),quotient(i(B),eta(A))),quotient(
% eta(A),
% i(quotient(B,
% quotient(
% eta(A),
% quotient(
% i(B),
% eta(A))))))),
% eta(A))) -> t(eta(A),quotient(eta(A),quotient(i(B),eta(A))))
% Current number of equations to process: 582
% Current number of ordered equations: 0
% Current number of rules: 991
% New rule produced :
% [2345]
% quotient(quotient(quotient(j(A),quotient(eta(A),j(eta(A)))),quotient(
% quotient(
% j(A),i(i(i(A)))),
% quotient(
% j(A),quotient(
% eta(A),
% j(eta(A)))))),
% j(A)) -> quotient(j(A),quotient(eta(A),j(eta(A))))
% Current number of equations to process: 581
% Current number of ordered equations: 0
% Current number of rules: 992
% New rule produced :
% [2346]
% quotient(quotient(quotient(A,i(quotient(eta(A),quotient(i(B),A)))),quotient(
% quotient(A,
% difference(B,
% eta(A))),
% quotient(A,
% i(
% quotient(
% eta(A),
% quotient(
% i(B),A)))))),A)
% -> quotient(A,i(quotient(eta(A),quotient(i(B),A))))
% Current number of equations to process: 580
% Current number of ordered equations: 0
% Current number of rules: 993
% New rule produced :
% [2347]
% quotient(quotient(quotient(A,quotient(t(quotient(A,B),B),A)),quotient(
% t(t(quotient(A,B),B),
% quotient(A,B)),
% quotient(A,
% quotient(
% t(quotient(A,B),B),A)))),A)
% -> quotient(A,quotient(t(quotient(A,B),B),A))
% Current number of equations to process: 579
% Current number of ordered equations: 0
% Current number of rules: 994
% New rule produced :
% [2348]
% difference(i(i(A)),t(t(i(i(i(i(A)))),eta(A)),i(i(i(i(A)))))) ->
% quotient(i(i(A)),quotient(eta(t(i(i(i(i(A)))),eta(A))),quotient(i(i(i(A))),
% t(i(i(i(i(A)))),
% eta(A)))))
% Current number of equations to process: 578
% Current number of ordered equations: 0
% Current number of rules: 995
% New rule produced :
% [2349]
% quotient(i(i(i(i(i(A))))),t(quotient(eta(A),i(t(i(i(i(A))),i(t(i(i(A)),
% i(t(i(A),
% i(t(A,
% i(quotient(A,
% j(A)))))))))))),
% i(t(i(i(i(A))),i(t(i(i(A)),i(t(i(A),i(t(A,i(
% quotient(A,
% j(A)))))))))))))
% -> i(i(i(i(A))))
% Current number of equations to process: 577
% Current number of ordered equations: 0
% Current number of rules: 996
% New rule produced :
% [2350]
% t(eta(A),difference(j(B),j(eta(A)))) <->
% t(eta(A),quotient(j(B),quotient(eta(difference(j(eta(A)),j(B))),quotient(B,
% difference(
% j(eta(A)),
% j(B))))))
% Current number of equations to process: 576
% Current number of ordered equations: 1
% Current number of rules: 997
% New rule produced :
% [2351]
% t(eta(A),quotient(j(B),quotient(eta(difference(j(eta(A)),j(B))),quotient(B,
% difference(
% j(eta(A)),
% j(B)))))) <->
% t(eta(A),difference(j(B),j(eta(A))))
% Current number of equations to process: 576
% Current number of ordered equations: 0
% Current number of rules: 998
% New rule produced :
% [2352]
% difference(quotient(A,quotient(eta(t(quotient(A,B),B)),quotient(i(A),
% t(quotient(A,B),B)))),
% difference(t(quotient(A,B),B),t(t(quotient(A,B),B),quotient(A,B)))) ->
% t(t(quotient(A,B),B),quotient(A,B))
% Current number of equations to process: 575
% Current number of ordered equations: 0
% Current number of rules: 999
% New rule produced :
% [2353]
% quotient(difference(i(quotient(A,quotient(eta(B),quotient(i(A),B)))),
% quotient(difference(i(quotient(A,B)),difference(B,quotient(A,B))),
% quotient(A,B))),quotient(A,quotient(eta(B),quotient(i(A),B)))) ->
% difference(B,quotient(A,B))
% Current number of equations to process: 574
% Current number of ordered equations: 0
% Current number of rules: 1000
% New rule produced :
% [2354]
% quotient(eta(A),i(i(i(i(i(i(i(i(i(A)))))))))) ->
% i(i(i(i(i(i(i(i(i(i(A))))))))))
% Current number of equations to process: 599
% Current number of ordered equations: 0
% Current number of rules: 1001
% New rule produced :
% [2355]
% quotient(quotient(quotient(j(eta(A)),j(A)),quotient(j(j(A)),quotient(
% j(eta(A)),
% j(A)))),j(eta(A)))
% -> quotient(j(eta(A)),j(A))
% Current number of equations to process: 598
% Current number of ordered equations: 0
% Current number of rules: 1002
% New rule produced :
% [2356]
% quotient(quotient(quotient(eta(A),j(eta(A))),quotient(quotient(eta(A),
% eta(quotient(eta(A),
% j(eta(A))))),
% quotient(eta(A),j(eta(A))))),
% eta(A)) -> quotient(eta(A),j(eta(A)))
% Current number of equations to process: 597
% Current number of ordered equations: 0
% Current number of rules: 1003
% New rule produced :
% [2357]
% quotient(quotient(quotient(j(A),quotient(j(eta(A)),j(A))),quotient(j(j(j(A))),
% quotient(j(A),
% quotient(j(eta(A)),
% j(A))))),j(A)) ->
% quotient(j(A),quotient(j(eta(A)),j(A)))
% Current number of equations to process: 596
% Current number of ordered equations: 0
% Current number of rules: 1004
% New rule produced :
% [2358]
% quotient(eta(A),i(quotient(quotient(quotient(j(A),j(j(A))),quotient(j(A),
% quotient(eta(A),
% i(quotient(
% j(A),j(j(A))))))),
% i(A)))) -> quotient(eta(A),i(quotient(j(A),j(j(A)))))
% Current number of equations to process: 595
% Current number of ordered equations: 0
% Current number of rules: 1005
% New rule produced :
% [2359]
% quotient(quotient(quotient(j(eta(A)),j(j(j(A)))),quotient(quotient(j(eta(A)),
% j(A)),quotient(
% j(eta(A)),
% j(j(j(A)))))),
% j(eta(A))) -> quotient(j(eta(A)),j(j(j(A))))
% Current number of equations to process: 594
% Current number of ordered equations: 0
% Current number of rules: 1006
% New rule produced :
% [2360]
% quotient(t(eta(A),quotient(quotient(eta(A),quotient(B,eta(A))),quotient(
% quotient(
% eta(A),B),
% quotient(
% eta(A),
% quotient(B,
% eta(A)))))),
% quotient(eta(A),quotient(B,eta(A)))) -> eta(A)
% Current number of equations to process: 593
% Current number of ordered equations: 0
% Current number of rules: 1007
% New rule produced :
% [2361]
% quotient(quotient(quotient(quotient(A,eta(B)),eta(B)),quotient(quotient(
% quotient(A,
% eta(B)),
% t(eta(B),A)),
% quotient(quotient(A,
% eta(B)),
% eta(B)))),quotient(A,
% eta(B))) ->
% quotient(quotient(A,eta(B)),eta(B))
% Current number of equations to process: 592
% Current number of ordered equations: 0
% Current number of rules: 1008
% New rule produced :
% [2362] difference(t(A,j(j(A))),quotient(A,j(j(j(A))))) -> A
% Current number of equations to process: 620
% Current number of ordered equations: 0
% Current number of rules: 1009
% New rule produced :
% [2363] difference(j(A),i(t(i(A),i(t(A,i(quotient(A,j(A)))))))) -> i(A)
% Current number of equations to process: 623
% Current number of ordered equations: 0
% Current number of rules: 1010
% New rule produced :
% [2364]
% difference(t(difference(A,B),quotient(difference(A,B),B)),quotient(difference(A,B),A))
% -> difference(A,B)
% Current number of equations to process: 625
% Current number of ordered equations: 0
% Current number of rules: 1011
% New rule produced :
% [2365]
% difference(t(A,quotient(A,quotient(eta(B),j(eta(A))))),quotient(A,quotient(
% eta(B),
% i(i(A)))))
% -> A
% Current number of equations to process: 630
% Current number of ordered equations: 0
% Current number of rules: 1012
% New rule produced :
% [2366]
% difference(A,i(t(i(i(A)),i(t(i(A),i(t(A,i(quotient(A,j(A)))))))))) -> i(i(A))
% Current number of equations to process: 629
% Current number of ordered equations: 0
% Current number of rules: 1013
% New rule produced :
% [2367]
% difference(t(j(A),quotient(j(A),i(i(i(A))))),quotient(j(A),quotient(eta(A),
% j(eta(A))))) ->
% j(A)
% Current number of equations to process: 628
% Current number of ordered equations: 0
% Current number of rules: 1014
% New rule produced :
% [2368]
% difference(t(A,t(t(quotient(A,B),B),quotient(A,B))),quotient(A,quotient(
% t(quotient(A,B),B),A)))
% -> A
% Current number of equations to process: 627
% Current number of ordered equations: 0
% Current number of rules: 1015
% New rule produced :
% [2369]
% difference(t(j(A),quotient(j(A),i(i(A)))),quotient(j(A),quotient(eta(A),
% i(quotient(A,j(A))))))
% -> j(A)
% Current number of equations to process: 626
% Current number of ordered equations: 0
% Current number of rules: 1016
% New rule produced :
% [2370]
% difference(t(j(A),quotient(j(A),quotient(eta(B),j(eta(A))))),quotient(
% j(A),quotient(
% eta(B),
% i(A)))) ->
% j(A)
% Current number of equations to process: 625
% Current number of ordered equations: 0
% Current number of rules: 1017
% New rule produced :
% [2371]
% difference(t(quotient(A,j(eta(B))),A),quotient(quotient(A,j(eta(B))),
% quotient(eta(B),quotient(A,j(eta(B))))))
% -> quotient(A,j(eta(B)))
% Current number of equations to process: 626
% Current number of ordered equations: 0
% Current number of rules: 1018
% New rule produced :
% [2372]
% difference(t(i(i(A)),quotient(eta(A),i(quotient(A,j(A))))),quotient(i(i(A)),
% quotient(j(A),
% i(i(A))))) ->
% i(i(A))
% Current number of equations to process: 625
% Current number of ordered equations: 0
% Current number of rules: 1019
% New rule produced :
% [2373]
% difference(t(quotient(A,quotient(B,A)),A),quotient(quotient(A,quotient(B,A)),
% quotient(quotient(A,B),quotient(A,
% quotient(B,A)))))
% -> quotient(A,quotient(B,A))
% Current number of equations to process: 624
% Current number of ordered equations: 0
% Current number of rules: 1020
% New rule produced :
% [2374]
% difference(t(i(i(i(A))),quotient(eta(A),j(eta(A)))),quotient(i(i(i(A))),
% quotient(j(A),i(i(i(A))))))
% -> i(i(i(A)))
% Current number of equations to process: 623
% Current number of ordered equations: 0
% Current number of rules: 1021
% New rule produced :
% [2375]
% difference(t(quotient(A,B),t(A,quotient(A,quotient(eta(B),quotient(i(A),B))))),
% quotient(quotient(A,B),t(quotient(A,B),B))) -> quotient(A,B)
% Current number of equations to process: 622
% Current number of ordered equations: 0
% Current number of rules: 1022
% New rule produced :
% [2376]
% difference(t(difference(A,eta(B)),i(quotient(eta(B),quotient(i(A),B)))),
% quotient(difference(A,eta(B)),quotient(B,difference(A,eta(B))))) ->
% difference(A,eta(B))
% Current number of equations to process: 621
% Current number of ordered equations: 0
% Current number of rules: 1023
% New rule produced :
% [2377]
% difference(i(A),i(t(i(i(i(A))),i(t(i(i(A)),i(t(i(A),i(t(A,i(quotient(A,j(A))))))))))))
% -> i(i(i(A)))
% Current number of equations to process: 620
% Current number of ordered equations: 0
% Current number of rules: 1024
% New rule produced :
% [2378]
% difference(t(quotient(j(j(A)),i(A)),j(j(j(j(A))))),quotient(quotient(
% j(j(A)),i(A)),
% quotient(A,quotient(
% j(j(A)),
% i(A))))) ->
% quotient(j(j(A)),i(A))
% Current number of equations to process: 619
% Current number of ordered equations: 0
% Current number of rules: 1025
% New rule produced :
% [2379]
% difference(t(t(quotient(A,B),B),quotient(t(quotient(A,B),B),A)),quotient(
% t(quotient(A,B),B),
% t(t(quotient(A,B),B),
% quotient(A,B))))
% -> t(quotient(A,B),B)
% Current number of equations to process: 618
% Current number of ordered equations: 0
% Current number of rules: 1026
% New rule produced :
% [2380]
% difference(t(A,t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B))),
% quotient(A,quotient(t(t(quotient(A,B),B),quotient(A,B)),A))) -> A
% Current number of equations to process: 617
% Current number of ordered equations: 0
% Current number of rules: 1027
% New rule produced :
% [2381]
% difference(t(quotient(eta(A),j(eta(B))),quotient(eta(A),i(i(B)))),quotient(
% quotient(
% eta(A),
% j(eta(B))),
% quotient(B,
% quotient(
% eta(A),
% j(eta(B))))))
% -> quotient(eta(A),j(eta(B)))
% Current number of equations to process: 616
% Current number of ordered equations: 0
% Current number of rules: 1028
% New rule produced :
% [2382]
% difference(t(quotient(eta(A),j(eta(B))),quotient(eta(A),i(B))),quotient(
% quotient(
% eta(A),
% j(eta(B))),
% quotient(
% j(B),quotient(
% eta(A),
% j(
% eta(B))))))
% -> quotient(eta(A),j(eta(B)))
% Current number of equations to process: 615
% Current number of ordered equations: 0
% Current number of rules: 1029
% New rule produced :
% [2383]
% difference(t(A,quotient(A,B)),quotient(eta(quotient(A,quotient(B,A))),
% quotient(j(eta(t(A,quotient(A,B)))),quotient(A,
% quotient(B,A)))))
% -> quotient(difference(i(A),j(quotient(i(A),eta(t(A,quotient(A,B)))))),A)
% Current number of equations to process: 614
% Current number of ordered equations: 0
% Current number of rules: 1030
% New rule produced :
% [2384] difference(t(j(eta(A)),j(j(A))),quotient(j(eta(A)),j(A))) -> j(eta(A))
% Current number of equations to process: 624
% Current number of ordered equations: 0
% Current number of rules: 1031
% New rule produced :
% [2385] quotient(i(i(A)),j(t(j(eta(A)),i(i(i(i(i(A)))))))) -> eta(A)
% Current number of equations to process: 634
% Current number of ordered equations: 0
% Current number of rules: 1032
% New rule produced :
% [2386]
% difference(t(i(A),j(A)),quotient(eta(A),i(quotient(j(A),j(j(A)))))) -> i(A)
% Current number of equations to process: 634
% Current number of ordered equations: 0
% Current number of rules: 1033
% New rule produced :
% [2387]
% difference(t(j(A),j(j(j(A)))),quotient(j(A),quotient(j(eta(A)),j(A)))) ->
% j(A)
% Current number of equations to process: 633
% Current number of ordered equations: 0
% Current number of rules: 1034
% New rule produced :
% [2388]
% difference(t(A,i(t(A,i(quotient(A,j(A)))))),quotient(A,t(A,i(quotient(A,j(A))))))
% -> A
% Current number of equations to process: 633
% Current number of ordered equations: 0
% Current number of rules: 1035
% New rule produced :
% [2389]
% difference(t(j(eta(A)),quotient(j(eta(A)),j(A))),quotient(j(eta(A)),j(
% j(j(A)))))
% -> j(eta(A))
% Current number of equations to process: 632
% Current number of ordered equations: 0
% Current number of rules: 1036
% New rule produced :
% [2390]
% difference(t(j(eta(A)),j(j(j(j(j(A)))))),quotient(j(eta(A)),j(j(j(j(A))))))
% -> j(eta(A))
% Current number of equations to process: 631
% Current number of ordered equations: 0
% Current number of rules: 1037
% New rule produced :
% [2391]
% quotient(quotient(difference(A,B),A),t(difference(A,B),quotient(difference(A,B),B)))
% -> t(t(difference(A,B),quotient(difference(A,B),B)),difference(A,B))
% Current number of equations to process: 630
% Current number of ordered equations: 0
% Current number of rules: 1038
% New rule produced :
% [2392]
% difference(t(i(A),t(A,i(quotient(A,j(A))))),quotient(i(A),i(t(A,i(quotient(A,
% j(A)))))))
% -> i(A)
% Current number of equations to process: 630
% Current number of ordered equations: 0
% Current number of rules: 1039
% New rule produced :
% [2393]
% quotient(difference(i(difference(A,B)),quotient(difference(i(quotient(
% difference(A,B),B)),
% quotient(difference(A,B),A)),
% quotient(difference(A,B),B))),
% difference(A,B)) -> quotient(difference(A,B),A)
% Current number of equations to process: 629
% Current number of ordered equations: 0
% Current number of rules: 1040
% New rule produced :
% [2394]
% difference(t(quotient(A,j(eta(B))),t(t(A,eta(B)),A)),quotient(quotient(A,
% j(eta(B))),
% quotient(t(A,eta(B)),
% quotient(A,j(eta(B))))))
% -> quotient(A,j(eta(B)))
% Current number of equations to process: 628
% Current number of ordered equations: 0
% Current number of rules: 1041
% New rule produced :
% [2395]
% quotient(t(difference(A,B),quotient(difference(A,B),quotient(eta(B),quotient(
% i(
% difference(A,B)),B)))),
% quotient(quotient(difference(A,B),B),quotient(difference(A,B),A))) ->
% quotient(difference(A,B),B)
% Current number of equations to process: 627
% Current number of ordered equations: 0
% Current number of rules: 1042
% New rule produced :
% [2396]
% quotient(quotient(difference(A,B),A),t(t(difference(A,B),quotient(difference(A,B),B)),
% difference(A,B))) ->
% t(t(t(difference(A,B),quotient(difference(A,B),B)),difference(A,B)),t(
% difference(A,B),
% quotient(
% difference(A,B),B)))
% Current number of equations to process: 626
% Current number of ordered equations: 0
% Current number of rules: 1043
% New rule produced :
% [2397]
% difference(j(t(eta(quotient(eta(A),j(eta(A)))),eta(A))),quotient(eta(
% quotient(
% eta(A),
% j(eta(A)))),
% quotient(eta(A),
% eta(quotient(
% eta(A),j(eta(A)))))))
% -> eta(quotient(eta(A),j(eta(A))))
% Current number of equations to process: 625
% Current number of ordered equations: 0
% Current number of rules: 1044
% New rule produced :
% [2398] quotient(j(j(j(A))),quotient(j(eta(A)),i(i(A)))) -> j(eta(A))
% Current number of equations to process: 630
% Current number of ordered equations: 0
% Current number of rules: 1045
% New rule produced : [2399] t(i(i(i(i(i(i(i(A))))))),eta(A)) -> j(eta(A))
% Current number of equations to process: 640
% Current number of ordered equations: 0
% Current number of rules: 1046
% New rule produced : [2400] t(i(i(i(i(A)))),eta(A)) -> j(eta(A))
% Rule
% [936]
% quotient(i(i(A)),t(i(i(i(i(A)))),eta(A))) ->
% t(t(i(i(i(i(A)))),eta(A)),i(i(i(i(A))))) collapsed.
% Rule
% [1688]
% quotient(i(i(A)),t(t(i(i(i(i(A)))),eta(A)),i(i(i(i(A)))))) ->
% t(t(t(i(i(i(i(A)))),eta(A)),i(i(i(i(A))))),t(i(i(i(i(A)))),eta(A)))
% collapsed.
% Rule
% [1937]
% quotient(i(i(A)),t(t(t(i(i(i(i(A)))),eta(A)),i(i(i(i(A))))),t(i(i(i(i(A)))),
% eta(A)))) ->
% t(t(t(t(i(i(i(i(A)))),eta(A)),i(i(i(i(A))))),t(i(i(i(i(A)))),eta(A))),
% t(t(i(i(i(i(A)))),eta(A)),i(i(i(i(A)))))) collapsed.
% Rule
% [2144]
% quotient(quotient(i(i(A)),quotient(t(i(i(i(i(A)))),eta(A)),i(i(A)))),
% t(t(i(i(i(i(A)))),eta(A)),i(i(i(i(A)))))) -> i(i(A)) collapsed.
% Rule
% [2278]
% difference(i(i(A)),t(i(i(i(i(A)))),eta(A))) ->
% quotient(i(i(A)),quotient(eta(A),i(t(i(A),i(t(A,i(quotient(A,j(A)))))))))
% collapsed.
% Rule
% [2348]
% difference(i(i(A)),t(t(i(i(i(i(A)))),eta(A)),i(i(i(i(A)))))) ->
% quotient(i(i(A)),quotient(eta(t(i(i(i(i(A)))),eta(A))),quotient(i(i(i(A))),
% t(i(i(i(i(A)))),
% eta(A))))) collapsed.
% Current number of equations to process: 650
% Current number of ordered equations: 0
% Current number of rules: 1041
% New rule produced : [2401] t(i(i(i(i(i(i(A)))))),eta(A)) -> j(eta(A))
% Current number of equations to process: 654
% Current number of ordered equations: 0
% Current number of rules: 1042
% New rule produced : [2402] t(j(eta(A)),i(i(i(i(A))))) -> A
% Current number of equations to process: 653
% Current number of ordered equations: 0
% Current number of rules: 1043
% New rule produced :
% [2403] quotient(i(quotient(A,j(A))),j(j(j(A)))) -> j(j(j(j(j(A)))))
% Current number of equations to process: 652
% Current number of ordered equations: 0
% Current number of rules: 1044
% New rule produced : [2404] t(i(i(i(i(i(i(i(i(A)))))))),eta(A)) -> j(eta(A))
% Current number of equations to process: 659
% Current number of ordered equations: 0
% Current number of rules: 1045
% New rule produced :
% [2405] t(i(i(i(i(i(i(i(i(i(A))))))))),eta(A)) -> j(eta(A))
% Current number of equations to process: 666
% Current number of ordered equations: 0
% Current number of rules: 1046
% New rule produced :
% [2406] quotient(i(t(A,i(quotient(A,j(A))))),j(j(A))) -> j(j(j(j(A))))
% Current number of equations to process: 665
% Current number of ordered equations: 0
% Current number of rules: 1047
% New rule produced :
% [2407] quotient(quotient(A,j(j(j(A)))),t(A,j(j(A)))) -> t(t(A,j(j(A))),A)
% Current number of equations to process: 664
% Current number of ordered equations: 0
% Current number of rules: 1048
% New rule produced :
% [2408]
% quotient(quotient(A,t(A,eta(B))),t(quotient(A,j(eta(B))),j(eta(B)))) -> A
% Rule
% [1468]
% t(eta(A),quotient(quotient(B,t(B,eta(A))),t(quotient(B,j(eta(A))),j(eta(A)))))
% -> t(eta(A),B) collapsed.
% Current number of equations to process: 663
% Current number of ordered equations: 0
% Current number of rules: 1048
% New rule produced :
% [2409] quotient(i(t(i(A),i(t(A,i(quotient(A,j(A))))))),j(A)) -> j(j(j(A)))
% Current number of equations to process: 661
% Current number of ordered equations: 0
% Current number of rules: 1049
% New rule produced :
% [2410]
% quotient(quotient(A,t(A,quotient(A,B))),t(quotient(A,quotient(B,A)),quotient(B,A)))
% -> A
% Current number of equations to process: 663
% Current number of ordered equations: 0
% Current number of rules: 1050
% New rule produced :
% [2411]
% quotient(quotient(difference(A,quotient(B,A)),A),quotient(B,quotient(
% eta(A),quotient(
% i(B),A))))
% -> difference(A,quotient(B,A))
% Current number of equations to process: 665
% Current number of ordered equations: 0
% Current number of rules: 1051
% New rule produced :
% [2412]
% quotient(i(t(i(i(A)),i(t(i(A),i(t(A,i(quotient(A,j(A))))))))),A) -> j(j(A))
% Current number of equations to process: 669
% Current number of ordered equations: 0
% Current number of rules: 1052
% New rule produced :
% [2413]
% quotient(j(j(j(j(j(A))))),t(j(eta(A)),j(j(j(A))))) ->
% t(t(j(eta(A)),j(j(j(A)))),j(eta(A)))
% Current number of equations to process: 668
% Current number of ordered equations: 0
% Current number of rules: 1053
% New rule produced :
% [2414]
% quotient(i(i(A)),quotient(eta(difference(j(eta(A)),i(i(A)))),quotient(
% i(i(i(A))),
% difference(
% j(eta(A)),
% i(i(A)))))) ->
% quotient(i(i(A)),quotient(eta(A),i(t(i(A),i(t(A,i(quotient(A,j(A)))))))))
% Current number of equations to process: 667
% Current number of ordered equations: 0
% Current number of rules: 1054
% New rule produced :
% [2415]
% quotient(quotient(eta(A),B),t(eta(A),quotient(eta(A),quotient(B,j(eta(A))))))
% -> t(eta(A),t(quotient(eta(A),quotient(B,j(eta(A)))),eta(A)))
% Current number of equations to process: 665
% Current number of ordered equations: 0
% Current number of rules: 1055
% New rule produced :
% [2416]
% quotient(quotient(A,j(j(j(j(A))))),t(A,quotient(A,quotient(j(j(A)),i(A)))))
% -> t(t(A,quotient(A,quotient(j(j(A)),i(A)))),A)
% Current number of equations to process: 666
% Current number of ordered equations: 0
% Current number of rules: 1056
% New rule produced :
% [2417]
% quotient(quotient(A,quotient(eta(B),i(i(A)))),t(A,quotient(A,quotient(
% eta(B),j(eta(A))))))
% -> t(t(A,quotient(A,quotient(eta(B),j(eta(A))))),A)
% Current number of equations to process: 665
% Current number of ordered equations: 0
% Current number of rules: 1057
% New rule produced :
% [2418]
% quotient(quotient(difference(A,B),A),quotient(eta(quotient(difference(A,B),B)),
% quotient(i(quotient(difference(A,B),A)),
% quotient(difference(A,B),B)))) -> A
% Current number of equations to process: 664
% Current number of ordered equations: 0
% Current number of rules: 1058
% New rule produced :
% [2419]
% quotient(quotient(A,t(A,quotient(A,quotient(eta(B),quotient(i(A),B))))),
% t(A,t(quotient(A,B),B))) -> t(t(A,t(quotient(A,B),B)),A)
% Current number of equations to process: 663
% Current number of ordered equations: 0
% Current number of rules: 1059
% New rule produced :
% [2420]
% quotient(quotient(j(A),quotient(eta(A),j(eta(A)))),t(j(A),quotient(j(A),
% i(i(i(A)))))) ->
% t(t(j(A),quotient(j(A),i(i(i(A))))),j(A))
% Current number of equations to process: 662
% Current number of ordered equations: 0
% Current number of rules: 1060
% New rule produced :
% [2421]
% quotient(i(t(i(i(i(A))),i(t(i(i(A)),i(t(i(A),i(t(A,i(quotient(A,j(A))))))))))),
% i(A)) -> j(A)
% Current number of equations to process: 661
% Current number of ordered equations: 0
% Current number of rules: 1061
% New rule produced :
% [2422]
% quotient(quotient(j(A),quotient(eta(A),i(quotient(A,j(A))))),t(j(A),quotient(
% j(A),
% i(
% i(A)))))
% -> t(t(j(A),quotient(j(A),i(i(A)))),j(A))
% Current number of equations to process: 660
% Current number of ordered equations: 0
% Current number of rules: 1062
% New rule produced :
% [2423]
% quotient(quotient(A,quotient(t(quotient(A,B),B),A)),t(A,t(t(quotient(A,B),B),
% quotient(A,B)))) ->
% t(t(A,t(t(quotient(A,B),B),quotient(A,B))),A)
% Current number of equations to process: 659
% Current number of ordered equations: 0
% Current number of rules: 1063
% New rule produced :
% [2424]
% quotient(quotient(t(A,quotient(A,B)),t(t(A,quotient(A,B)),A)),quotient(
% t(A,quotient(A,B)),
% quotient(A,
% quotient(B,A))))
% -> t(A,quotient(A,B))
% Current number of equations to process: 658
% Current number of ordered equations: 0
% Current number of rules: 1064
% New rule produced :
% [2425]
% quotient(quotient(quotient(A,j(eta(B))),quotient(eta(B),quotient(A,j(eta(B))))),
% t(quotient(A,j(eta(B))),A)) ->
% t(t(quotient(A,j(eta(B))),A),quotient(A,j(eta(B))))
% Current number of equations to process: 657
% Current number of ordered equations: 0
% Current number of rules: 1065
% New rule produced :
% [2426]
% quotient(quotient(j(A),quotient(eta(B),i(A))),t(j(A),quotient(j(A),quotient(
% eta(B),
% j(
% eta(A))))))
% -> t(t(j(A),quotient(j(A),quotient(eta(B),j(eta(A))))),j(A))
% Current number of equations to process: 656
% Current number of ordered equations: 0
% Current number of rules: 1066
% New rule produced :
% [2427]
% difference(t(quotient(difference(A,B),A),difference(A,B)),quotient(quotient(
% difference(A,B),A),
% quotient(quotient(
% difference(A,B),B),
% quotient(difference(A,B),A))))
% -> quotient(difference(A,B),A)
% Current number of equations to process: 655
% Current number of ordered equations: 0
% Current number of rules: 1067
% New rule produced :
% [2428]
% quotient(quotient(i(i(A)),quotient(j(A),i(i(A)))),t(i(i(A)),quotient(
% eta(A),i(
% quotient(A,
% j(A))))))
% -> t(t(i(i(A)),quotient(eta(A),i(quotient(A,j(A))))),i(i(A)))
% Current number of equations to process: 654
% Current number of ordered equations: 0
% Current number of rules: 1068
% New rule produced :
% [2429]
% quotient(quotient(difference(quotient(A,B),t(quotient(A,B),B)),quotient(A,B)),
% quotient(A,quotient(eta(quotient(A,B)),quotient(i(A),quotient(A,B))))) ->
% difference(quotient(A,B),t(quotient(A,B),B))
% Current number of equations to process: 652
% Current number of ordered equations: 0
% Current number of rules: 1069
% New rule produced :
% [2430]
% quotient(quotient(i(i(i(A))),quotient(j(A),i(i(i(A))))),t(i(i(i(A))),
% quotient(eta(A),
% j(eta(A))))) ->
% t(t(i(i(i(A))),quotient(eta(A),j(eta(A)))),i(i(i(A))))
% Current number of equations to process: 651
% Current number of ordered equations: 0
% Current number of rules: 1070
% New rule produced :
% [2431]
% quotient(t(A,quotient(A,quotient(eta(B),quotient(i(A),B)))),t(quotient(A,B),
% quotient(
% quotient(A,B),
% quotient(A,
% quotient(B,A)))))
% ->
% t(t(quotient(A,B),quotient(quotient(A,B),quotient(A,quotient(B,A)))),
% quotient(A,B))
% Current number of equations to process: 650
% Current number of ordered equations: 0
% Current number of rules: 1071
% New rule produced :
% [2432]
% quotient(quotient(difference(A,eta(B)),quotient(B,difference(A,eta(B)))),
% t(difference(A,eta(B)),i(quotient(eta(B),quotient(i(A),B))))) ->
% t(t(difference(A,eta(B)),i(quotient(eta(B),quotient(i(A),B)))),difference(A,
% eta(B)))
% Current number of equations to process: 649
% Current number of ordered equations: 0
% Current number of rules: 1072
% New rule produced :
% [2433]
% quotient(quotient(quotient(A,t(A,i(quotient(A,j(A))))),quotient(i(t(A,
% i(quotient(A,
% j(A))))),
% quotient(A,t(A,
% i(quotient(A,
% j(A))))))),A)
% -> quotient(A,t(A,i(quotient(A,j(A)))))
% Current number of equations to process: 648
% Current number of ordered equations: 0
% Current number of rules: 1073
% New rule produced :
% [2434]
% quotient(quotient(quotient(j(eta(A)),j(j(j(j(A))))),quotient(j(j(j(j(j(A))))),
% quotient(j(eta(A)),
% j(j(j(j(A))))))),
% j(eta(A))) -> quotient(j(eta(A)),j(j(j(j(A)))))
% Current number of equations to process: 647
% Current number of ordered equations: 0
% Current number of rules: 1074
% New rule produced :
% [2435]
% quotient(i(t(i(i(i(i(A)))),i(t(i(i(i(A))),i(t(i(i(A)),i(t(i(A),i(t(A,
% i(quotient(A,
% j(A))))))))))))),
% i(i(A))) -> A
% Current number of equations to process: 646
% Current number of ordered equations: 0
% Current number of rules: 1075
% New rule produced :
% [2436]
% quotient(quotient(quotient(A,B),t(quotient(A,B),B)),t(quotient(A,B),t(A,
% quotient(A,
% quotient(
% eta(B),
% quotient(
% i(A),B))))))
% ->
% t(t(quotient(A,B),t(A,quotient(A,quotient(eta(B),quotient(i(A),B))))),
% quotient(A,B))
% Current number of equations to process: 645
% Current number of ordered equations: 0
% Current number of rules: 1076
% New rule produced :
% [2437] t(i(i(i(i(i(i(i(i(i(i(A)))))))))),eta(A)) -> j(eta(A))
% Current number of equations to process: 673
% Current number of ordered equations: 0
% Current number of rules: 1077
% Rule [2313] quotient(i(i(i(A))),j(eta(A))) -> t(j(eta(A)),i(i(i(i(i(A)))))) is composed into
% [2313] quotient(i(i(i(A))),j(eta(A))) -> i(A)
% New rule produced : [2438] t(j(eta(A)),i(i(i(i(i(A)))))) -> i(A)
% Rule
% [2314]
% quotient(i(i(i(A))),t(j(eta(A)),i(i(i(i(i(A))))))) ->
% t(t(j(eta(A)),i(i(i(i(i(A)))))),j(eta(A))) collapsed.
% Rule [2331] quotient(t(j(eta(A)),i(i(i(i(i(A)))))),eta(A)) -> i(i(i(A)))
% collapsed.
% Rule [2385] quotient(i(i(A)),j(t(j(eta(A)),i(i(i(i(i(A)))))))) -> eta(A)
% collapsed.
% Current number of equations to process: 675
% Current number of ordered equations: 0
% Current number of rules: 1075
% New rule produced : [2439] t(i(A),j(eta(A))) -> eta(A)
% Current number of equations to process: 674
% Current number of ordered equations: 0
% Current number of rules: 1076
% New rule produced :
% [2440]
% quotient(quotient(j(eta(A)),j(A)),t(j(eta(A)),j(j(A)))) ->
% t(t(j(eta(A)),j(j(A))),j(eta(A)))
% Current number of equations to process: 681
% Current number of ordered equations: 0
% Current number of rules: 1077
% New rule produced :
% [2441]
% quotient(eta(A),i(quotient(quotient(j(A),j(j(A))),t(i(A),j(A))))) ->
% t(t(i(A),j(A)),i(A))
% Current number of equations to process: 682
% Current number of ordered equations: 0
% Current number of rules: 1078
% New rule produced :
% [2442]
% quotient(quotient(j(A),quotient(j(eta(A)),j(A))),t(j(A),j(j(j(A))))) ->
% t(t(j(A),j(j(j(A)))),j(A))
% Current number of equations to process: 683
% Current number of ordered equations: 0
% Current number of rules: 1079
% New rule produced :
% [2443]
% quotient(quotient(eta(A),quotient(i(i(i(i(i(i(A)))))),eta(A))),i(i(i(
% i(
% i(
% i(i(A))))))))
% -> eta(A)
% Current number of equations to process: 685
% Current number of ordered equations: 0
% Current number of rules: 1080
% New rule produced :
% [2444]
% quotient(quotient(A,t(A,i(quotient(A,j(A))))),t(A,i(t(A,i(quotient(A,j(A)))))))
% -> t(t(A,i(t(A,i(quotient(A,j(A)))))),A)
% Current number of equations to process: 684
% Current number of ordered equations: 0
% Current number of rules: 1081
% New rule produced :
% [2445]
% quotient(quotient(j(eta(A)),j(j(j(A)))),t(j(eta(A)),quotient(j(eta(A)),j(A))))
% -> t(t(j(eta(A)),quotient(j(eta(A)),j(A))),j(eta(A)))
% Current number of equations to process: 683
% Current number of ordered equations: 0
% Current number of rules: 1082
% New rule produced :
% [2446]
% quotient(quotient(eta(t(eta(A),B)),t(eta(A),quotient(j(eta(A)),B))),t(
% eta(A),
% t(B,
% eta(A))))
% -> t(eta(A),t(t(B,eta(A)),B))
% Current number of equations to process: 684
% Current number of ordered equations: 0
% Current number of rules: 1083
% New rule produced :
% [2447]
% quotient(quotient(j(eta(A)),j(j(j(j(A))))),t(j(eta(A)),j(j(j(j(j(A))))))) ->
% t(t(j(eta(A)),j(j(j(j(j(A)))))),j(eta(A)))
% Current number of equations to process: 683
% Current number of ordered equations: 0
% Current number of rules: 1084
% New rule produced :
% [2448]
% quotient(quotient(eta(A),j(eta(A))),t(eta(A),quotient(eta(A),eta(quotient(
% eta(A),
% j(eta(A)))))))
% -> t(eta(A),t(quotient(eta(A),eta(quotient(eta(A),j(eta(A))))),eta(A)))
% Current number of equations to process: 682
% Current number of ordered equations: 0
% Current number of rules: 1085
% New rule produced :
% [2449]
% quotient(quotient(i(A),i(t(A,i(quotient(A,j(A)))))),t(i(A),t(A,i(quotient(A,
% j(A)))))) ->
% t(t(i(A),t(A,i(quotient(A,j(A))))),i(A))
% Current number of equations to process: 681
% Current number of ordered equations: 0
% Current number of rules: 1086
% New rule produced :
% [2450]
% quotient(quotient(quotient(A,eta(B)),eta(B)),t(quotient(A,eta(B)),quotient(
% quotient(A,
% eta(B)),
% t(eta(B),A))))
% ->
% t(t(quotient(A,eta(B)),quotient(quotient(A,eta(B)),t(eta(B),A))),quotient(A,
% eta(B)))
% Current number of equations to process: 680
% Current number of ordered equations: 0
% Current number of rules: 1087
% New rule produced :
% [2451]
% difference(t(quotient(A,quotient(B,A)),t(t(A,quotient(A,B)),A)),quotient(
% quotient(A,
% quotient(B,A)),
% quotient(
% t(A,quotient(A,B)),
% quotient(A,
% quotient(B,A)))))
% -> quotient(A,quotient(B,A))
% Current number of equations to process: 679
% Current number of ordered equations: 0
% Current number of rules: 1088
% New rule produced :
% [2452]
% quotient(quotient(quotient(difference(A,B),A),quotient(quotient(difference(A,B),B),
% quotient(difference(A,B),A))),
% t(quotient(difference(A,B),A),difference(A,B))) ->
% t(t(quotient(difference(A,B),A),difference(A,B)),quotient(difference(A,B),A))
% Current number of equations to process: 678
% Current number of ordered equations: 0
% Current number of rules: 1089
% New rule produced :
% [2453]
% quotient(j(quotient(i(quotient(eta(A),quotient(j(A),i(i(i(i(i(i(A))))))))),
% j(eta(A)))),j(j(A))) ->
% t(quotient(eta(A),quotient(j(eta(A)),i(i(i(i(i(A))))))),quotient(j(eta(A)),
% i(i(i(i(i(A)))))))
% Current number of equations to process: 677
% Current number of ordered equations: 0
% Current number of rules: 1090
% New rule produced :
% [2454]
% quotient(difference(t(A,quotient(A,B)),t(t(A,quotient(A,B)),A)),t(t(A,
% quotient(A,B)),A))
% ->
% quotient(quotient(A,quotient(B,A)),quotient(eta(t(A,quotient(A,B))),quotient(
% i(
% quotient(A,
% quotient(B,A))),
% t(A,
% quotient(A,B)))))
% Current number of equations to process: 676
% Current number of ordered equations: 0
% Current number of rules: 1091
% New rule produced :
% [2455]
% quotient(quotient(t(t(quotient(A,B),B),quotient(A,B)),A),quotient(t(t(
% quotient(A,B),B),
% quotient(A,B)),
% quotient(A,quotient(
% t(
% quotient(A,B),B),A))))
% -> t(t(quotient(A,B),B),quotient(A,B))
% Current number of equations to process: 675
% Current number of ordered equations: 0
% Current number of rules: 1092
% New rule produced :
% [2456]
% difference(i(i(A)),i(t(i(i(i(i(A)))),i(t(i(i(i(A))),i(t(i(i(A)),i(t(i(A),
% i(t(A,
% i(
% quotient(A,
% j(A))))))))))))))
% -> i(i(i(i(A))))
% Current number of equations to process: 674
% Current number of ordered equations: 0
% Current number of rules: 1093
% New rule produced :
% [2457]
% difference(t(i(i(A)),A),quotient(i(i(A)),quotient(j(eta(A)),i(i(A))))) ->
% i(i(A))
% Current number of equations to process: 673
% Current number of ordered equations: 0
% Current number of rules: 1094
% New rule produced :
% [2458]
% quotient(quotient(A,quotient(t(quotient(A,B),B),A)),t(t(A,t(t(quotient(A,B),B),
% quotient(A,B))),A))
% ->
% t(t(t(A,t(t(quotient(A,B),B),quotient(A,B))),A),t(A,t(t(quotient(A,B),B),
% quotient(A,B))))
% Current number of equations to process: 672
% Current number of ordered equations: 0
% Current number of rules: 1095
% New rule produced :
% [2459]
% quotient(quotient(t(A,eta(B)),t(t(A,eta(B)),A)),t(t(A,eta(B)),quotient(
% t(A,eta(B)),
% quotient(A,
% j(eta(B))))))
% -> t(t(t(A,eta(B)),quotient(t(A,eta(B)),quotient(A,j(eta(B))))),t(A,eta(B)))
% Current number of equations to process: 671
% Current number of ordered equations: 0
% Current number of rules: 1096
% New rule produced :
% [2460]
% t(eta(A),difference(t(j(eta(A)),quotient(j(eta(A)),B)),quotient(j(eta(A)),
% quotient(quotient(
% eta(quotient(B,
% j(
% eta(A)))),
% quotient(
% eta(A),
% quotient(B,
% j(eta(A))))),
% j(eta(A)))))) ->
% j(eta(A))
% Current number of equations to process: 670
% Current number of ordered equations: 0
% Current number of rules: 1097
% New rule produced :
% [2461]
% quotient(quotient(quotient(j(j(A)),i(A)),quotient(A,quotient(j(j(A)),i(A)))),
% t(quotient(j(j(A)),i(A)),j(j(j(j(A)))))) ->
% t(t(quotient(j(j(A)),i(A)),j(j(j(j(A))))),quotient(j(j(A)),i(A)))
% Current number of equations to process: 669
% Current number of ordered equations: 0
% Current number of rules: 1098
% New rule produced :
% [2462]
% quotient(difference(i(t(t(A,quotient(A,B)),A)),quotient(difference(i(
% t(A,
% quotient(A,B))),
% quotient(A,quotient(B,A))),
% t(A,quotient(A,B)))),t(
% t(A,
% quotient(A,B)),A))
% -> quotient(A,quotient(B,A))
% Current number of equations to process: 668
% Current number of ordered equations: 0
% Current number of rules: 1099
% New rule produced :
% [2463]
% quotient(quotient(i(i(i(A))),quotient(j(eta(A)),i(i(i(A))))),i(A)) ->
% i(i(i(A)))
% Current number of equations to process: 674
% Current number of ordered equations: 0
% Current number of rules: 1100
% New rule produced :
% [2464]
% quotient(quotient(j(j(j(A))),quotient(j(eta(A)),j(j(j(A))))),j(j(j(j(j(A))))))
% -> j(j(j(A)))
% Current number of equations to process: 701
% Current number of ordered equations: 0
% Current number of rules: 1101
% New rule produced :
% [2465]
% t(eta(A),quotient(quotient(B,t(B,quotient(B,j(quotient(i(B),eta(A)))))),
% t(quotient(B,eta(A)),eta(A)))) -> t(eta(A),B)
% Current number of equations to process: 704
% Current number of ordered equations: 0
% Current number of rules: 1102
% New rule produced :
% [2466]
% quotient(quotient(eta(A),quotient(i(i(i(i(i(i(i(A))))))),eta(A))),i(i(
% i(
% i(
% i(
% i(
% i(i(A)))))))))
% -> eta(A)
% Current number of equations to process: 703
% Current number of ordered equations: 0
% Current number of rules: 1103
% New rule produced :
% [2467]
% quotient(quotient(t(A,quotient(A,B)),t(t(A,quotient(A,B)),A)),quotient(
% t(A,quotient(A,B)),
% difference(
% i(quotient(A,B)),
% quotient(
% difference(
% i(B),A),B))))
% -> t(A,quotient(A,B))
% Current number of equations to process: 707
% Current number of ordered equations: 0
% Current number of rules: 1104
% New rule produced :
% [2468]
% quotient(quotient(i(A),quotient(t(t(A,i(quotient(A,j(A)))),A),i(A))),
% t(t(t(A,i(quotient(A,j(A)))),A),t(A,i(quotient(A,j(A)))))) -> i(A)
% Current number of equations to process: 706
% Current number of ordered equations: 0
% Current number of rules: 1105
% New rule produced :
% [2469]
% quotient(difference(A,t(A,t(t(quotient(A,B),B),quotient(A,B)))),t(A,t(
% t(
% quotient(A,B),B),
% quotient(A,B))))
% ->
% quotient(quotient(A,quotient(t(quotient(A,B),B),A)),quotient(A,quotient(
% quotient(
% t(quotient(A,B),B),A),A)))
% Current number of equations to process: 705
% Current number of ordered equations: 0
% Current number of rules: 1106
% New rule produced :
% [2470]
% quotient(quotient(quotient(difference(A,B),A),quotient(t(difference(A,B),
% quotient(difference(A,B),B)),
% quotient(difference(A,B),A))),
% t(t(difference(A,B),quotient(difference(A,B),B)),difference(A,B))) ->
% quotient(difference(A,B),A)
% Current number of equations to process: 704
% Current number of ordered equations: 0
% Current number of rules: 1107
% New rule produced :
% [2471]
% quotient(difference(A,quotient(quotient(i(quotient(A,j(A))),quotient(
% eta(quotient(
% eta(quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))),
% quotient(
% i(i(quotient(A,
% j(A)))),
% i(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A)))))))),
% quotient(
% i(i(quotient(A,
% j(A)))),
% quotient(
% eta(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% quotient(
% i(i(quotient(A,
% j(A)))),
% i(quotient(
% quotient(A,
% j(A)),j(
% quotient(A,
% j(A)))))))))),
% quotient(A,j(A)))),quotient(A,j(A))) ->
% quotient(t(A,quotient(eta(quotient(A,j(A))),quotient(i(A),quotient(A,j(A))))),
% quotient(A,j(A)))
% Current number of equations to process: 703
% Current number of ordered equations: 0
% Current number of rules: 1108
% New rule produced :
% [2472]
% difference(quotient(i(i(A)),quotient(eta(A),i(t(i(A),i(t(A,i(quotient(A,j(A))))))))),
% t(eta(A),quotient(A,quotient(eta(quotient(j(eta(A)),quotient(quotient(A,
% quotient(
% eta(A),i(
% t(
% i(A),
% i(
% t(A,
% i(
% quotient(A,
% j(A))))))))),
% eta(A)))),quotient(
% i(A),quotient(
% j(
% eta(A)),
% quotient(
% quotient(A,
% quotient(
% eta(A),
% i(
% t(
% i(A),
% i(
% t(A,
% i(
% quotient(A,
% j(A))))))))),
% eta(A))))))))
% -> j(eta(A))
% Current number of equations to process: 702
% Current number of ordered equations: 0
% Current number of rules: 1109
% New rule produced :
% [2473]
% quotient(quotient(quotient(eta(t(eta(A),B)),t(eta(A),quotient(j(eta(A)),B))),
% t(eta(A),quotient(eta(A),quotient(B,j(eta(A)))))),t(eta(A),B)) ->
% quotient(eta(t(eta(A),B)),t(eta(A),quotient(j(eta(A)),B)))
% Current number of equations to process: 701
% Current number of ordered equations: 0
% Current number of rules: 1110
% New rule produced :
% [2474]
% quotient(quotient(quotient(A,j(eta(B))),quotient(t(A,eta(B)),quotient(A,
% j(eta(B))))),
% t(quotient(A,j(eta(B))),t(t(A,eta(B)),A))) ->
% t(t(quotient(A,j(eta(B))),t(t(A,eta(B)),A)),quotient(A,j(eta(B))))
% Current number of equations to process: 700
% Current number of ordered equations: 0
% Current number of rules: 1111
% New rule produced :
% [2475]
% quotient(quotient(i(i(i(A))),quotient(t(quotient(eta(A),j(eta(A))),j(A)),
% i(i(i(A))))),t(t(quotient(eta(A),j(eta(A))),
% j(A)),quotient(eta(A),j(eta(A)))))
% -> i(i(i(A)))
% Current number of equations to process: 699
% Current number of ordered equations: 0
% Current number of rules: 1112
% New rule produced :
% [2476]
% quotient(quotient(quotient(j(j(A)),i(A)),quotient(t(j(j(j(j(A)))),A),
% quotient(j(j(A)),i(A)))),t(t(
% j(
% j(
% j(j(A)))),A),
% j(j(
% j(j(A))))))
% -> quotient(j(j(A)),i(A))
% Current number of equations to process: 698
% Current number of ordered equations: 0
% Current number of rules: 1113
% New rule produced :
% [2477]
% quotient(quotient(difference(A,B),quotient(eta(difference(A,difference(A,B))),
% quotient(i(difference(A,B)),difference(A,
% difference(A,B))))),
% t(t(difference(B,A),A),difference(B,A))) ->
% t(t(t(difference(B,A),A),difference(B,A)),t(difference(B,A),A))
% Current number of equations to process: 697
% Current number of ordered equations: 0
% Current number of rules: 1114
% New rule produced :
% [2478]
% quotient(t(t(t(t(A,i(quotient(A,j(A)))),A),t(A,i(quotient(A,j(A))))),
% t(t(A,i(quotient(A,j(A)))),A)),quotient(eta(difference(i(A),
% t(t(t(t(A,i(quotient(A,
% j(A)))),A),
% t(A,i(quotient(A,j(A))))),
% t(t(A,i(quotient(A,j(A)))),A)))),
% quotient(i(t(t(t(t(A,i(quotient(A,
% j(A)))),A),
% t(A,i(quotient(A,j(A))))),
% t(t(A,i(quotient(A,j(A)))),A))),
% difference(i(A),t(t(t(t(A,i(quotient(A,
% j(A)))),A),
% t(A,i(quotient(A,
% j(A))))),
% t(t(A,i(quotient(A,
% j(A)))),A))))))
% -> t(t(t(A,i(quotient(A,j(A)))),A),t(A,i(quotient(A,j(A)))))
% Current number of equations to process: 696
% Current number of ordered equations: 0
% Current number of rules: 1115
% New rule produced :
% [2479]
% quotient(difference(quotient(eta(A),j(eta(A))),t(quotient(eta(A),j(eta(A))),
% j(A))),t(quotient(eta(A),
% j(eta(A))),j(A))) ->
% quotient(i(i(i(A))),quotient(eta(quotient(eta(A),j(eta(A)))),quotient(
% i(i(i(i(A)))),
% quotient(
% eta(A),j(eta(A))))))
% Current number of equations to process: 694
% Current number of ordered equations: 0
% Current number of rules: 1116
% New rule produced :
% [2480]
% quotient(difference(t(A,i(quotient(A,j(A)))),t(t(A,i(quotient(A,j(A)))),A)),
% t(t(A,i(quotient(A,j(A)))),A)) ->
% quotient(i(A),quotient(eta(t(A,i(quotient(A,j(A))))),quotient(i(i(A)),
% t(A,i(quotient(A,j(A)))))))
% Current number of equations to process: 693
% Current number of ordered equations: 0
% Current number of rules: 1117
% New rule produced :
% [2481]
% quotient(quotient(quotient(j(A),quotient(eta(A),i(quotient(A,j(A))))),
% quotient(quotient(j(A),i(i(A))),quotient(j(A),quotient(eta(A),
% i(quotient(A,j(A))))))),
% j(A)) -> quotient(j(A),quotient(eta(A),i(quotient(A,j(A)))))
% Current number of equations to process: 692
% Current number of ordered equations: 0
% Current number of rules: 1118
% New rule produced :
% [2482]
% quotient(quotient(t(quotient(A,B),B),t(t(quotient(A,B),B),quotient(A,B))),
% t(t(quotient(A,B),B),quotient(t(quotient(A,B),B),A))) ->
% t(t(t(quotient(A,B),B),quotient(t(quotient(A,B),B),A)),t(quotient(A,B),B))
% Current number of equations to process: 691
% Current number of ordered equations: 0
% Current number of rules: 1119
% New rule produced :
% [2483]
% quotient(quotient(quotient(eta(A),j(eta(B))),quotient(j(B),quotient(eta(A),
% j(eta(B))))),
% t(quotient(eta(A),j(eta(B))),quotient(eta(A),i(B)))) ->
% t(t(quotient(eta(A),j(eta(B))),quotient(eta(A),i(B))),quotient(eta(A),
% j(eta(B))))
% Current number of equations to process: 690
% Current number of ordered equations: 0
% Current number of rules: 1120
% New rule produced :
% [2484]
% quotient(quotient(i(t(i(A),i(t(A,i(quotient(A,j(A))))))),quotient(i(i(i(A))),
% i(t(i(A),i(t(A,
% i(
% quotient(A,
% j(A))))))))),
% i(A)) -> i(t(i(A),i(t(A,i(quotient(A,j(A)))))))
% Current number of equations to process: 687
% Current number of ordered equations: 0
% Current number of rules: 1121
% New rule produced :
% [2485]
% quotient(quotient(quotient(i(i(A)),quotient(j(A),i(i(A)))),quotient(eta(A),
% i(quotient(
% quotient(A,
% j(A)),quotient(
% i(
% i(A)),
% quotient(
% j(A),
% i(
% i(A)))))))),
% i(i(A))) -> quotient(i(i(A)),quotient(j(A),i(i(A))))
% Current number of equations to process: 686
% Current number of ordered equations: 0
% Current number of rules: 1122
% New rule produced :
% [2486]
% quotient(quotient(quotient(eta(A),j(eta(B))),quotient(B,quotient(eta(A),
% j(eta(B))))),
% t(quotient(eta(A),j(eta(B))),quotient(eta(A),i(i(B))))) ->
% t(t(quotient(eta(A),j(eta(B))),quotient(eta(A),i(i(B)))),quotient(eta(A),
% j(eta(B))))
% Current number of equations to process: 685
% Current number of ordered equations: 0
% Current number of rules: 1123
% New rule produced :
% [2487]
% quotient(quotient(i(quotient(A,j(A))),quotient(eta(difference(A,i(quotient(A,
% j(A))))),
% quotient(i(i(quotient(A,j(A)))),
% difference(A,i(quotient(A,j(A))))))),A)
% ->
% quotient(i(A),quotient(eta(quotient(A,j(A))),quotient(i(i(A)),i(quotient(A,
% j(A))))))
% Current number of equations to process: 684
% Current number of ordered equations: 0
% Current number of rules: 1124
% New rule produced :
% [2488]
% quotient(difference(j(j(A)),i(A)),i(A)) ->
% quotient(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(i(quotient(
% eta(A),
% j(eta(A)))),
% j(j(A)))))
% Current number of equations to process: 683
% Current number of ordered equations: 0
% Current number of rules: 1125
% Rule [2335]
% t(eta(A),quotient(difference(i(B),C),quotient(eta(B),quotient(i(
% difference(
% i(B),C)),
% i(B))))) ->
% t(eta(A),quotient(difference(i(B),C),C)) is composed into [2335]
% t(eta(A),
% quotient(
% difference(
% i(B),C),
% quotient(
% eta(B),
% quotient(
% i(difference(
% i(B),C)),
% i(B))))) ->
% t(eta(A),
% quotient(
% quotient(
% eta(C),
% quotient(
% i(i(B)),C)),
% quotient(
% eta(i(B)),
% quotient(
% i(quotient(
% eta(C),
% quotient(
% i(i(B)),C))),
% i(B)))))
% Rule [2334]
% t(eta(A),quotient(difference(j(B),C),quotient(eta(B),quotient(i(
% difference(
% j(B),C)),
% j(B))))) ->
% t(eta(A),quotient(difference(j(B),C),C)) is composed into [2334]
% t(eta(A),
% quotient(
% difference(
% j(B),C),
% quotient(
% eta(B),
% quotient(
% i(difference(
% j(B),C)),
% j(B))))) ->
% t(eta(A),
% quotient(
% quotient(
% eta(C),
% quotient(
% i(j(B)),C)),
% quotient(
% eta(j(B)),
% quotient(
% i(quotient(
% eta(C),
% quotient(
% i(j(B)),C))),
% j(B)))))
% Rule [2246]
% difference(quotient(difference(A,B),quotient(eta(difference(A,difference(A,B))),
% quotient(i(difference(A,B)),
% difference(A,difference(A,B))))),
% difference(B,A)) ->
% quotient(difference(A,difference(B,A)),difference(B,A)) is composed into
% [2246]
% difference(quotient(difference(A,B),quotient(eta(difference(A,difference(A,B))),
% quotient(i(difference(A,B)),difference(A,
% difference(A,B))))),
% difference(B,A)) ->
% quotient(quotient(eta(difference(B,A)),quotient(i(A),difference(B,A))),
% quotient(eta(A),quotient(i(quotient(eta(difference(B,A)),quotient(i(A),
% difference(B,A)))),A)))
% Rule [2237]
% quotient(difference(B,eta(A)),quotient(eta(A),quotient(i(difference(B,
% eta(A))),A)))
% <->
% quotient(difference(A,i(quotient(eta(A),quotient(i(B),A)))),i(quotient(
% eta(A),
% quotient(
% i(B),A)))) is composed into
% [2237]
% quotient(difference(B,eta(A)),quotient(eta(A),quotient(i(difference(B,eta(A))),A)))
% ->
% quotient(quotient(eta(i(quotient(eta(A),quotient(i(B),A)))),quotient(
% i(A),i(quotient(
% eta(A),
% quotient(
% i(B),A))))),
% quotient(eta(A),quotient(i(quotient(eta(i(quotient(eta(A),quotient(i(B),A)))),
% quotient(i(A),i(quotient(eta(A),quotient(i(B),A)))))),A)))
% Rule [2216]
% quotient(quotient(difference(A,B),quotient(eta(difference(A,difference(A,B))),
% quotient(i(difference(A,B)),difference(A,
% difference(A,B))))),
% quotient(eta(A),quotient(i(quotient(difference(A,B),quotient(eta(
% difference(A,
% difference(A,B))),
% quotient(i(difference(A,B)),
% difference(A,
% difference(A,B)))))),A)))
% <-> quotient(difference(A,difference(B,A)),difference(B,A)) is composed into
% [2216]
% quotient(quotient(difference(A,B),quotient(eta(difference(A,difference(A,B))),
% quotient(i(difference(A,B)),difference(A,
% difference(A,B))))),
% quotient(eta(A),quotient(i(quotient(difference(A,B),quotient(eta(difference(A,
% difference(A,B))),
% quotient(i(difference(A,B)),
% difference(A,difference(A,B)))))),A)))
% <->
% quotient(quotient(eta(difference(B,A)),quotient(i(A),difference(B,A))),
% quotient(eta(A),quotient(i(quotient(eta(difference(B,A)),quotient(i(A),
% difference(B,A)))),A)))
% Rule [2009]
% difference(t(B,C),quotient(quotient(eta(t(B,C)),quotient(i(A),t(B,C))),
% quotient(quotient(quotient(quotient(eta(difference(B,A)),
% quotient(i(quotient(
% eta(B),quotient(
% i(C),B))),
% difference(B,A))),B),
% t(B,C)),quotient(eta(t(B,C)),quotient(
% i(A),t(B,C))))))
% ->
% quotient(quotient(eta(A),quotient(i(quotient(quotient(eta(B),quotient(
% i(C),B)),
% t(quotient(eta(B),quotient(i(C),B)),
% quotient(difference(C,B),B)))),A)),
% t(B,C)) is composed into [2009]
% difference(t(B,C),quotient(quotient(eta(t(B,C)),
% quotient(i(A),
% t(B,C))),quotient(
% quotient(
% quotient(
% quotient(
% eta(
% difference(B,A)),
% quotient(
% i(quotient(
% eta(B),
% quotient(
% i(C),B))),
% difference(B,A))),B),
% t(B,C)),
% quotient(
% eta(
% t(B,C)),
% quotient(
% i(A),
% t(B,C))))))
% ->
% quotient(quotient(eta(A),quotient(i(quotient(
% quotient(
% eta(B),
% quotient(
% i(C),B)),
% t(quotient(
% eta(B),
% quotient(
% i(C),B)),
% quotient(
% quotient(
% eta(B),
% quotient(
% i(C),B)),
% quotient(
% eta(C),
% quotient(
% i(quotient(
% eta(B),
% quotient(
% i(C),B))),C)))))),A)),
% t(B,C))
% Rule [2007]
% quotient(quotient(difference(i(B),quotient(quotient(eta(A),quotient(
% i(B),A)),
% quotient(quotient(quotient(eta(
% difference(B,A)),
% quotient(i(quotient(B,
% j(B))),
% difference(B,A))),B),
% quotient(eta(A),quotient(i(B),A))))),B),A)
% <->
% difference(A,quotient(quotient(eta(A),quotient(i(B),A)),t(quotient(
% eta(A),
% quotient(
% i(B),A)),
% quotient(
% difference(B,A),A)))) is composed into
% [2007]
% quotient(quotient(difference(i(B),quotient(quotient(eta(A),quotient(i(B),A)),
% quotient(quotient(quotient(eta(difference(B,A)),
% quotient(i(quotient(B,
% j(B))),
% difference(B,A))),B),
% quotient(eta(A),quotient(i(B),A))))),B),A)
% <->
% difference(A,quotient(quotient(eta(A),quotient(i(B),A)),t(quotient(eta(A),
% quotient(i(B),A)),
% quotient(quotient(
% eta(A),
% quotient(
% i(B),A)),
% quotient(eta(B),
% quotient(i(quotient(
% eta(A),
% quotient(
% i(B),A))),B))))))
% Rule [1947]
% quotient(quotient(quotient(eta(difference(B,C)),quotient(i(quotient(
% eta(A),
% quotient(
% i(B),A))),
% difference(B,C))),B),A)
% <->
% quotient(quotient(eta(quotient(difference(B,A),A)),quotient(i(quotient(
% eta(C),
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% i(B),A))),C))),
% quotient(difference(B,A),A))),
% quotient(eta(A),quotient(i(B),A))) is composed into [1947]
% quotient(quotient(
% quotient(
% eta(
% difference(B,C)),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),
% difference(B,C))),B),A)
% ->
% quotient(quotient(
% eta(
% quotient(
% quotient(
% eta(A),
% quotient(
% i(B),A)),
% quotient(
% eta(B),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),B)))),
% quotient(
% i(quotient(
% eta(C),
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% i(B),A))),C))),
% quotient(
% quotient(
% eta(A),
% quotient(
% i(B),A)),
% quotient(
% eta(B),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),B))))),
% quotient(eta(A),
% quotient(i(B),A)))
% Rule [1857]
% quotient(quotient(quotient(eta(A),quotient(i(quotient(eta(B),i(quotient(
% eta(C),
% quotient(
% i(V_3),C))))),A)),V_3),
% quotient(eta(B),i(C))) <->
% quotient(quotient(eta(quotient(difference(V_3,C),C)),quotient(i(
% quotient(
% eta(
% quotient(
% eta(V_3),
% quotient(
% i(A),V_3))),
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% i(V_3),C))),
% quotient(
% eta(V_3),
% quotient(
% i(A),V_3))))),
% quotient(difference(V_3,C),C))),
% quotient(eta(C),quotient(i(V_3),C))) is composed into [1857]
% quotient(quotient(
% quotient(
% eta(A),
% quotient(
% i(
% quotient(
% eta(B),
% i(
% quotient(
% eta(C),
% quotient(
% i(V_3),C))))),A)),V_3),
% quotient(eta(B),
% i(C))) <->
% quotient(quotient(
% eta(
% quotient(
% quotient(
% eta(C),
% quotient(
% i(V_3),C)),
% quotient(
% eta(V_3),
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% i(V_3),C))),V_3)))),
% quotient(
% i(
% quotient(
% eta(
% quotient(
% eta(V_3),
% quotient(
% i(A),V_3))),
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% i(V_3),C))),
% quotient(
% eta(V_3),
% quotient(
% i(A),V_3))))),
% quotient(
% quotient(
% eta(C),
% quotient(
% i(V_3),C)),
% quotient(
% eta(V_3),
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% i(V_3),C))),V_3))))),
% quotient(eta(C),
% quotient(i(V_3),C)))
% Rule [1780]
% quotient(quotient(quotient(eta(difference(B,C)),quotient(i(quotient(
% eta(quotient(
% eta(V_3),
% quotient(
% i(A),V_3))),
% quotient(
% i(B),
% quotient(
% eta(V_3),
% quotient(
% i(A),V_3))))),
% difference(B,C))),B),A)
% <->
% quotient(quotient(eta(quotient(quotient(eta(quotient(difference(B,A),A)),
% quotient(i(quotient(eta(C),quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),C))),
% quotient(difference(B,A),A))),quotient(
% eta(A),
% quotient(
% i(B),A)))),
% quotient(i(quotient(eta(V_3),quotient(i(quotient(eta(A),
% quotient(i(B),A))),V_3))),
% quotient(quotient(eta(quotient(difference(B,A),A)),quotient(
% i(quotient(
% eta(C),
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% i(B),A))),C))),
% quotient(
% difference(B,A),A))),
% quotient(eta(A),quotient(i(B),A))))),quotient(eta(A),quotient(
% i(B),A))) is composed into
% [1780]
% quotient(quotient(quotient(eta(difference(B,C)),quotient(i(quotient(eta(
% quotient(
% eta(V_3),
% quotient(
% i(A),V_3))),
% quotient(i(B),
% quotient(eta(V_3),
% quotient(i(A),V_3))))),
% difference(B,C))),B),A) <->
% quotient(quotient(eta(quotient(quotient(eta(quotient(quotient(eta(A),
% quotient(i(B),A)),
% quotient(eta(B),quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),B)))),
% quotient(i(quotient(eta(C),quotient(i(
% quotient(
% eta(A),
% quotient(
% i(B),A))),C))),
% quotient(quotient(eta(A),quotient(i(B),A)),
% quotient(eta(B),quotient(i(quotient(eta(A),
% quotient(i(B),A))),B))))),
% quotient(eta(A),quotient(i(B),A)))),quotient(i(
% quotient(
% eta(V_3),
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% i(B),A))),V_3))),
% quotient(quotient(
% eta(
% quotient(
% quotient(
% eta(A),
% quotient(
% i(B),A)),
% quotient(
% eta(B),
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% i(B),A))),B)))),
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% i(B),A))),C))),
% quotient(
% quotient(
% eta(A),
% quotient(
% i(B),A)),
% quotient(
% eta(B),
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% i(B),A))),B))))),
% quotient(eta(A),
% quotient(i(B),A))))),
% quotient(eta(A),quotient(i(B),A)))
% Rule [1694]
% quotient(quotient(quotient(eta(difference(C,V_3)),quotient(i(quotient(
% eta(A),
% i(quotient(
% eta(B),
% quotient(
% i(C),B))))),
% difference(C,V_3))),C),
% quotient(eta(A),i(B))) <->
% quotient(quotient(eta(quotient(difference(C,B),B)),quotient(i(quotient(
% eta(V_3),
% quotient(
% i(
% quotient(
% eta(B),
% quotient(
% i(C),B))),V_3))),
% quotient(difference(C,B),B))),
% quotient(eta(B),quotient(i(C),B))) is composed into [1694]
% quotient(quotient(
% quotient(
% eta(
% difference(C,V_3)),
% quotient(
% i(quotient(
% eta(A),
% i(
% quotient(
% eta(B),
% quotient(
% i(C),B))))),
% difference(C,V_3))),C),
% quotient(eta(A),
% i(B))) ->
% quotient(quotient(
% eta(
% quotient(
% quotient(
% eta(B),
% quotient(
% i(C),B)),
% quotient(
% eta(C),
% quotient(
% i(quotient(
% eta(B),
% quotient(
% i(C),B))),C)))),
% quotient(
% i(quotient(
% eta(V_3),
% quotient(
% i(
% quotient(
% eta(B),
% quotient(
% i(C),B))),V_3))),
% quotient(
% quotient(
% eta(B),
% quotient(
% i(C),B)),
% quotient(
% eta(C),
% quotient(
% i(quotient(
% eta(B),
% quotient(
% i(C),B))),C))))),
% quotient(eta(B),
% quotient(i(C),B)))
% Rule [1666]
% quotient(quotient(quotient(eta(difference(B,C)),quotient(i(quotient(
% eta(A),
% quotient(
% i(B),
% i(i(A))))),
% difference(B,C))),B),
% i(i(A))) <->
% quotient(quotient(eta(quotient(difference(B,A),A)),quotient(i(quotient(
% eta(C),
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% i(B),A))),C))),
% quotient(difference(B,A),A))),
% quotient(eta(A),quotient(i(B),A))) is composed into [1666]
% quotient(quotient(
% quotient(
% eta(
% difference(B,C)),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),
% i(
% i(A))))),
% difference(B,C))),B),
% i(i(A))) ->
% quotient(quotient(
% eta(
% quotient(
% quotient(
% eta(A),
% quotient(
% i(B),A)),
% quotient(
% eta(B),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),B)))),
% quotient(
% i(quotient(
% eta(C),
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% i(B),A))),C))),
% quotient(
% quotient(
% eta(A),
% quotient(
% i(B),A)),
% quotient(
% eta(B),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),B))))),
% quotient(eta(A),
% quotient(i(B),A)))
% New rule produced :
% [2489]
% quotient(difference(A,B),B) ->
% quotient(quotient(eta(B),quotient(i(A),B)),quotient(eta(A),quotient(i(
% quotient(
% eta(B),
% quotient(
% i(A),B))),A)))
% Rule
% [952]
% quotient(difference(A,quotient(B,A)),quotient(B,A)) ->
% quotient(B,quotient(eta(A),quotient(i(B),A))) collapsed.
% Rule
% [958]
% quotient(difference(quotient(A,B),t(quotient(A,B),B)),t(quotient(A,B),B)) ->
% quotient(A,quotient(eta(quotient(A,B)),quotient(i(A),quotient(A,B))))
% collapsed.
% Rule
% [974]
% quotient(difference(A,quotient(difference(A,B),A)),quotient(difference(A,B),A))
% -> quotient(difference(A,B),B) collapsed.
% Rule
% [993]
% quotient(quotient(difference(A,B),A),quotient(difference(A,B),B)) ->
% difference(A,B) collapsed.
% Rule [1063] quotient(difference(j(eta(A)),B),B) -> eta(A) collapsed.
% Rule
% [1077]
% quotient(difference(A,i(quotient(A,j(A)))),i(quotient(A,j(A)))) -> i(A)
% collapsed.
% Rule
% [1113]
% quotient(A,quotient(difference(B,A),A)) -> quotient(eta(A),quotient(i(B),A))
% collapsed.
% Rule
% [1227]
% quotient(quotient(quotient(eta(A),B),quotient(difference(C,j(B)),j(B))),C) ->
% quotient(eta(A),B) collapsed.
% Rule
% [1367]
% quotient(difference(quotient(eta(A),quotient(i(B),A)),eta(C)),eta(C)) ->
% i(quotient(eta(A),quotient(i(B),A))) collapsed.
% Rule
% [1497]
% quotient(eta(A),i(quotient(B,quotient(eta(quotient(difference(C,B),B)),
% quotient(i(quotient(eta(A),i(B))),quotient(
% difference(C,B),B))))))
% -> C collapsed.
% Rule
% [1547]
% quotient(quotient(eta(quotient(difference(A,t(A,B)),t(A,B))),quotient(
% i(quotient(
% eta(C),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),C))),
% quotient(
% difference(A,
% t(A,B)),
% t(A,B)))),
% quotient(eta(A),quotient(i(B),A))) <->
% quotient(quotient(quotient(eta(difference(A,C)),quotient(i(quotient(eta(A),
% quotient(i(B),A))),
% difference(A,C))),A),
% t(A,B)) collapsed.
% Rule
% [1549]
% quotient(quotient(A,quotient(quotient(difference(B,A),A),A)),B) ->
% quotient(quotient(eta(A),quotient(i(quotient(eta(A),quotient(i(B),A))),A)),B)
% collapsed.
% Rule
% [1589]
% quotient(quotient(quotient(eta(A),quotient(i(B),A)),t(quotient(eta(A),
% quotient(i(B),A)),
% quotient(difference(B,A),A))),
% t(A,B)) -> quotient(eta(A),quotient(i(B),A)) collapsed.
% Rule
% [1660]
% quotient(difference(t(quotient(A,B),B),t(t(quotient(A,B),B),quotient(A,B))),
% t(t(quotient(A,B),B),quotient(A,B))) ->
% quotient(A,quotient(eta(t(quotient(A,B),B)),quotient(i(A),t(quotient(A,B),B))))
% collapsed.
% Rule
% [1667]
% quotient(quotient(eta(quotient(difference(B,A),A)),quotient(i(quotient(
% eta(C),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),C))),
% quotient(difference(B,A),A))),
% quotient(eta(A),quotient(i(B),A))) <->
% quotient(quotient(quotient(eta(difference(B,C)),quotient(i(quotient(eta(A),
% quotient(i(B),
% i(i(A))))),
% difference(B,C))),B),
% i(i(A))) collapsed.
% Rule
% [1684]
% quotient(eta(A),i(quotient(quotient(difference(i(B),quotient(quotient(
% eta(quotient(
% eta(A),
% i(B))),C),
% quotient(difference(B,
% j(C)),j(C)))),B),
% j(C)))) -> j(j(quotient(eta(A),i(B)))) collapsed.
% Rule
% [1693]
% quotient(quotient(eta(quotient(difference(C,B),B)),quotient(i(quotient(
% eta(V_3),
% quotient(
% i(quotient(
% eta(B),
% quotient(
% i(C),B))),V_3))),
% quotient(difference(C,B),B))),
% quotient(eta(B),quotient(i(C),B))) <->
% quotient(quotient(quotient(eta(difference(C,V_3)),quotient(i(quotient(
% eta(A),i(
% quotient(
% eta(B),
% quotient(
% i(C),B))))),
% difference(C,V_3))),C),
% quotient(eta(A),i(B))) collapsed.
% Rule
% [1722]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(difference(B,A),A),A)))
% -> quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)
% collapsed.
% Rule
% [1748]
% quotient(eta(A),i(quotient(quotient(difference(i(B),quotient(quotient(
% eta(quotient(
% eta(A),
% i(B))),
% j(eta(C))),
% quotient(difference(B,
% eta(C)),
% eta(C)))),B),eta(C)))) ->
% j(j(quotient(eta(A),i(B)))) collapsed.
% Rule
% [1757]
% quotient(quotient(B,eta(C)),t(eta(C),quotient(difference(V_3,quotient(
% j(quotient(
% i(quotient(
% eta(B),
% quotient(
% j(C),B))),
% j(eta(C)))),
% j(j(C)))),
% quotient(j(quotient(i(quotient(eta(B),
% quotient(j(C),B))),
% j(eta(C)))),j(j(C)))))) ->
% quotient(eta(quotient(B,eta(C))),quotient(i(t(eta(C),V_3)),quotient(B,eta(C))))
% collapsed.
% Rule
% [1778]
% quotient(quotient(eta(quotient(quotient(eta(quotient(difference(B,A),A)),
% quotient(i(quotient(eta(B),quotient(i(
% quotient(
% eta(A),
% quotient(
% i(B),A))),B))),
% quotient(difference(B,A),A))),quotient(
% eta(A),quotient(
% i(B),A)))),
% quotient(i(quotient(eta(C),quotient(i(quotient(eta(A),quotient(
% i(B),A))),C))),
% quotient(quotient(eta(quotient(difference(B,A),A)),quotient(
% i(quotient(
% eta(B),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),B))),
% quotient(
% difference(B,A),A))),
% quotient(eta(A),quotient(i(B),A))))),quotient(eta(A),quotient(
% i(B),A))) -> C
% collapsed.
% Rule
% [1781]
% quotient(quotient(eta(quotient(quotient(eta(quotient(difference(B,A),A)),
% quotient(i(quotient(eta(C),quotient(i(
% quotient(
% eta(A),
% quotient(
% i(B),A))),C))),
% quotient(difference(B,A),A))),quotient(
% eta(A),quotient(
% i(B),A)))),
% quotient(i(quotient(eta(V_3),quotient(i(quotient(eta(A),quotient(
% i(B),A))),V_3))),
% quotient(quotient(eta(quotient(difference(B,A),A)),quotient(
% i(quotient(
% eta(C),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),C))),
% quotient(
% difference(B,A),A))),
% quotient(eta(A),quotient(i(B),A))))),quotient(eta(A),quotient(
% i(B),A))) <->
% quotient(quotient(quotient(eta(difference(B,C)),quotient(i(quotient(eta(
% quotient(
% eta(V_3),
% quotient(
% i(A),V_3))),
% quotient(i(B),
% quotient(eta(V_3),
% quotient(i(A),V_3))))),
% difference(B,C))),B),A)
% collapsed.
% Rule
% [1800]
% difference(t(quotient(eta(A),quotient(i(B),A)),t(A,B)),quotient(quotient(
% eta(A),
% quotient(
% i(B),A)),
% t(quotient(eta(A),
% quotient(i(B),A)),
% quotient(difference(B,A),A))))
% -> quotient(eta(A),quotient(i(B),A)) collapsed.
% Rule
% [1858]
% quotient(quotient(eta(quotient(difference(V_3,C),C)),quotient(i(quotient(
% eta(quotient(
% eta(V_3),
% quotient(
% i(A),V_3))),
% quotient(
% i(quotient(
% eta(C),
% quotient(
% i(V_3),C))),
% quotient(
% eta(V_3),
% quotient(
% i(A),V_3))))),
% quotient(difference(V_3,C),C))),
% quotient(eta(C),quotient(i(V_3),C))) <->
% quotient(quotient(quotient(eta(A),quotient(i(quotient(eta(B),i(quotient(
% eta(C),
% quotient(
% i(V_3),C))))),A)),V_3),
% quotient(eta(B),i(C))) collapsed.
% Rule
% [1867]
% quotient(eta(A),i(quotient(quotient(quotient(eta(B),quotient(i(C),B)),
% t(quotient(eta(A),i(quotient(eta(B),quotient(
% i(C),B)))),
% quotient(difference(C,B),B))),t(quotient(eta(A),
% i(B)),C)))) ->
% quotient(eta(A),i(quotient(eta(B),quotient(i(C),B)))) collapsed.
% Rule
% [1875]
% quotient(quotient(eta(quotient(difference(B,A),A)),quotient(i(quotient(
% eta(quotient(B,
% j(B))),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),
% quotient(B,
% j(B))))),
% quotient(difference(B,A),A))),
% quotient(eta(A),quotient(i(B),A))) ->
% quotient(t(B,quotient(eta(A),i(quotient(eta(A),quotient(i(B),A))))),i(i(A)))
% collapsed.
% Rule
% [1922]
% quotient(difference(t(t(quotient(A,B),B),quotient(A,B)),t(t(t(quotient(A,B),B),
% quotient(A,B)),
% t(quotient(A,B),B))),
% t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B))) ->
% quotient(A,quotient(eta(t(t(quotient(A,B),B),quotient(A,B))),quotient(
% i(A),t(t(
% quotient(A,B),B),
% quotient(A,B)))))
% collapsed.
% Rule
% [1927]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(B,A),A),A),A)))
% ->
% quotient(eta(difference(quotient(A,j(A)),quotient(A,i(quotient(A,j(A)))))),
% quotient(i(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% difference(quotient(A,j(A)),quotient(A,i(quotient(A,j(A))))))) collapsed.
% Rule
% [1939]
% difference(quotient(A,j(A)),quotient(A,t(eta(B),quotient(quotient(difference(
% quotient(
% eta(B),
% i(C)),
% quotient(
% j(quotient(
% i(
% quotient(
% eta(
% quotient(A,
% j(
% eta(B)))),
% quotient(
% j(B),
% quotient(A,
% j(
% eta(B)))))),
% j(
% eta(B)))),
% j(j(B)))),
% quotient(j(quotient(
% i(
% quotient(
% eta(
% quotient(A,
% j(
% eta(B)))),
% quotient(
% j(B),
% quotient(A,
% j(
% eta(B)))))),
% j(
% eta(B)))),
% j(j(B)))),quotient(
% j(
% quotient(
% i(
% quotient(
% eta(
% quotient(A,
% j(
% eta(B)))),
% quotient(
% j(B),
% quotient(A,
% j(
% eta(B)))))),
% j(
% eta(B)))),
% j(
% j(B)))))))
% <->
% difference(quotient(A,j(A)),quotient(A,t(eta(B),quotient(quotient(quotient(
% difference(C,
% quotient(
% j(quotient(
% i(
% quotient(
% eta(
% quotient(
% quotient(
% quotient(
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(
% j(B)))),
% quotient(
% eta(
% difference(A,
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(
% j(B)))))),
% quotient(
% i(
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(
% j(B))))),
% difference(A,
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(
% j(B)))))))),
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(
% j(B)))),
% j(
% eta(B)))),
% quotient(
% j(B),
% quotient(
% quotient(
% quotient(
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(
% j(B)))),
% quotient(
% eta(
% difference(A,
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(
% j(B)))))),
% quotient(
% i(
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(
% j(B))))),
% difference(A,
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(
% j(B)))))))),
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(
% j(B)))),
% j(
% eta(B)))))),
% j(
% eta(B)))),
% j(j(B)))),
% eta(B)),
% quotient(j(quotient(
% i(
% quotient(
% eta(
% quotient(A,
% j(
% eta(B)))),
% quotient(
% j(B),
% quotient(A,
% j(
% eta(B)))))),
% j(
% eta(B)))),
% j(j(B)))),quotient(
% j(
% quotient(
% i(
% quotient(
% eta(
% quotient(A,
% j(
% eta(B)))),
% quotient(
% j(B),
% quotient(A,
% j(
% eta(B)))))),
% j(
% eta(B)))),
% j(
% j(B)))))))
% collapsed.
% Rule
% [1948]
% quotient(quotient(eta(quotient(difference(B,A),A)),quotient(i(quotient(
% eta(C),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),C))),
% quotient(difference(B,A),A))),
% quotient(eta(A),quotient(i(B),A))) <->
% quotient(quotient(quotient(eta(difference(B,C)),quotient(i(quotient(eta(A),
% quotient(i(B),A))),
% difference(B,C))),B),A)
% collapsed.
% Rule
% [2001]
% quotient(quotient(A,quotient(quotient(difference(quotient(eta(B),quotient(
% i(C),B)),A),A),A)),
% quotient(A,j(A))) ->
% t(quotient(A,j(A)),quotient(eta(quotient(quotient(quotient(eta(B),quotient(
% i(quotient(A,
% j(A))),B)),A),A)),
% quotient(i(quotient(quotient(quotient(eta(C),quotient(
% i(quotient(A,
% j(A))),C)),A),A)),
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,
% j(A))),B)),A),A))))
% collapsed.
% Rule
% [2006]
% difference(A,quotient(quotient(eta(A),quotient(i(B),A)),t(quotient(eta(A),
% quotient(i(B),A)),
% quotient(difference(B,A),A))))
% <->
% quotient(quotient(difference(i(B),quotient(quotient(eta(A),quotient(i(B),A)),
% quotient(quotient(quotient(eta(difference(B,A)),
% quotient(i(quotient(B,
% j(B))),
% difference(B,A))),B),
% quotient(eta(A),quotient(i(B),A))))),B),A)
% collapsed.
% Rule
% [2017]
% quotient(i(i(A)),t(t(quotient(eta(A),i(quotient(eta(A),quotient(i(B),A)))),
% quotient(difference(B,A),A)),quotient(eta(A),i(quotient(
% eta(A),
% quotient(
% i(B),A))))))
% ->
% t(t(t(quotient(eta(A),i(quotient(eta(A),quotient(i(B),A)))),quotient(
% difference(B,A),A)),
% quotient(eta(A),i(quotient(eta(A),quotient(i(B),A))))),t(quotient(eta(A),
% i(quotient(
% eta(A),quotient(
% i(B),A)))),
% quotient(difference(B,A),A)))
% collapsed.
% Rule
% [2021]
% quotient(quotient(A,quotient(quotient(difference(quotient(eta(B),quotient(
% i(C),B)),A),A),A)),
% quotient(eta(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% quotient(i(quotient(quotient(quotient(eta(C),quotient(i(quotient(A,j(A))),C)),A),A)),
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A))))
% -> quotient(A,j(A)) collapsed.
% Rule [2151] quotient(difference(A,j(A)),j(A)) -> j(A) collapsed.
% Rule
% [2207]
% difference(A,difference(quotient(difference(A,difference(B,A)),difference(B,A)),
% quotient(difference(A,B),quotient(eta(difference(A,difference(A,B))),
% quotient(i(difference(A,B)),difference(A,
% difference(A,B)))))))
% ->
% quotient(difference(A,B),quotient(eta(difference(A,difference(A,B))),
% quotient(i(difference(A,B)),difference(A,difference(A,B)))))
% collapsed.
% Rule
% [2215]
% quotient(difference(A,difference(B,A)),difference(B,A)) <->
% quotient(quotient(difference(A,B),quotient(eta(difference(A,difference(A,B))),
% quotient(i(difference(A,B)),difference(A,
% difference(A,B))))),
% quotient(eta(A),quotient(i(quotient(difference(A,B),quotient(eta(difference(A,
% difference(A,B))),
% quotient(i(difference(A,B)),
% difference(A,difference(A,B)))))),A)))
% collapsed.
% Rule
% [2226]
% quotient(difference(j(A),quotient(eta(A),j(eta(A)))),quotient(eta(A),
% j(eta(A)))) ->
% quotient(i(i(i(A))),quotient(eta(A),quotient(i(i(i(i(A)))),j(A)))) collapsed.
% Rule
% [2233]
% quotient(difference(A,j(j(j(j(A))))),j(j(j(j(A))))) ->
% quotient(quotient(j(j(A)),i(A)),quotient(eta(A),quotient(i(quotient(j(j(A)),
% i(A))),A)))
% collapsed.
% Rule
% [2236]
% quotient(difference(A,i(quotient(eta(A),quotient(i(B),A)))),i(quotient(
% eta(A),
% quotient(
% i(B),A)))) <->
% quotient(difference(B,eta(A)),quotient(eta(A),quotient(i(difference(B,eta(A))),A)))
% collapsed.
% Rule
% [2238]
% quotient(difference(A,quotient(eta(B),i(i(A)))),quotient(eta(B),i(i(A)))) ->
% quotient(quotient(eta(B),j(eta(A))),quotient(eta(A),quotient(i(quotient(
% eta(B),
% j(eta(A)))),A)))
% collapsed.
% Rule
% [2239]
% quotient(difference(j(A),quotient(eta(B),i(A))),quotient(eta(B),i(A))) ->
% quotient(quotient(eta(B),j(eta(A))),quotient(eta(A),quotient(i(quotient(
% eta(B),
% j(eta(A)))),
% j(A)))) collapsed.
% Rule
% [2267]
% quotient(difference(A,t(A,i(quotient(A,j(A))))),t(A,i(quotient(A,j(A))))) ->
% i(A) collapsed.
% Rule
% [2268]
% quotient(difference(A,t(A,eta(B))),t(A,eta(B))) ->
% quotient(quotient(A,j(eta(B))),quotient(A,quotient(j(eta(B)),A))) collapsed.
% Rule
% [2269]
% quotient(difference(A,t(A,quotient(A,B))),t(A,quotient(A,B))) ->
% quotient(quotient(A,quotient(B,A)),quotient(A,quotient(quotient(B,A),A)))
% collapsed.
% Rule
% [2279]
% quotient(difference(t(A,eta(B)),t(t(A,eta(B)),A)),t(t(A,eta(B)),A)) ->
% quotient(quotient(A,j(eta(B))),quotient(eta(t(A,eta(B))),quotient(i(quotient(A,
% j(
% eta(B)))),
% t(A,eta(B)))))
% collapsed.
% Rule
% [2282]
% quotient(difference(quotient(A,B),quotient(A,quotient(eta(B),quotient(i(A),B)))),
% quotient(A,quotient(eta(B),quotient(i(A),B)))) ->
% quotient(difference(B,quotient(A,B)),quotient(eta(quotient(A,B)),quotient(
% i(difference(B,
% quotient(A,B))),
% quotient(A,B))))
% collapsed.
% Rule
% [2283]
% quotient(difference(j(j(j(j(A)))),t(j(j(j(j(A)))),A)),t(j(j(j(j(A)))),A)) ->
% quotient(quotient(j(j(A)),i(A)),quotient(eta(A),quotient(i(quotient(j(j(A)),
% i(A))),j(j(
% j(j(A)))))))
% collapsed.
% Rule
% [2286]
% quotient(difference(quotient(eta(A),i(B)),t(quotient(eta(A),i(B)),j(B))),
% t(quotient(eta(A),i(B)),j(B))) ->
% quotient(quotient(eta(A),j(eta(B))),quotient(eta(A),i(quotient(eta(B),
% quotient(i(quotient(
% eta(A),
% j(eta(B)))),B)))))
% collapsed.
% Rule
% [2293]
% quotient(difference(quotient(eta(A),i(i(B))),t(quotient(eta(A),i(i(B))),B)),
% t(quotient(eta(A),i(i(B))),B)) ->
% quotient(quotient(eta(A),j(eta(B))),quotient(eta(A),i(quotient(eta(B),
% quotient(i(quotient(
% eta(A),
% j(eta(B)))),
% i(B)))))) collapsed.
% Rule
% [2328]
% quotient(difference(A,j(j(j(A)))),j(j(j(A)))) -> quotient(j(eta(A)),i(i(A)))
% collapsed.
% Rule
% [2336]
% quotient(quotient(quotient(difference(A,B),A),quotient(quotient(difference(A,B),B),
% quotient(difference(A,B),A))),
% difference(A,B)) -> quotient(difference(A,B),A) collapsed.
% Rule
% [2364]
% difference(t(difference(A,B),quotient(difference(A,B),B)),quotient(difference(A,B),A))
% -> difference(A,B) collapsed.
% Rule
% [2391]
% quotient(quotient(difference(A,B),A),t(difference(A,B),quotient(difference(A,B),B)))
% -> t(t(difference(A,B),quotient(difference(A,B),B)),difference(A,B))
% collapsed.
% Rule
% [2393]
% quotient(difference(i(difference(A,B)),quotient(difference(i(quotient(
% difference(A,B),B)),
% quotient(difference(A,B),A)),
% quotient(difference(A,B),B))),
% difference(A,B)) -> quotient(difference(A,B),A) collapsed.
% Rule
% [2395]
% quotient(t(difference(A,B),quotient(difference(A,B),quotient(eta(B),quotient(
% i(
% difference(A,B)),B)))),
% quotient(quotient(difference(A,B),B),quotient(difference(A,B),A))) ->
% quotient(difference(A,B),B) collapsed.
% Rule
% [2396]
% quotient(quotient(difference(A,B),A),t(t(difference(A,B),quotient(difference(A,B),B)),
% difference(A,B))) ->
% t(t(t(difference(A,B),quotient(difference(A,B),B)),difference(A,B)),t(
% difference(A,B),
% quotient(
% difference(A,B),B)))
% collapsed.
% Rule
% [2418]
% quotient(quotient(difference(A,B),A),quotient(eta(quotient(difference(A,B),B)),
% quotient(i(quotient(difference(A,B),A)),
% quotient(difference(A,B),B)))) -> A
% collapsed.
% Rule
% [2427]
% difference(t(quotient(difference(A,B),A),difference(A,B)),quotient(quotient(
% difference(A,B),A),
% quotient(quotient(
% difference(A,B),B),
% quotient(difference(A,B),A))))
% -> quotient(difference(A,B),A) collapsed.
% Rule
% [2452]
% quotient(quotient(quotient(difference(A,B),A),quotient(quotient(difference(A,B),B),
% quotient(difference(A,B),A))),
% t(quotient(difference(A,B),A),difference(A,B))) ->
% t(t(quotient(difference(A,B),A),difference(A,B)),quotient(difference(A,B),A))
% collapsed.
% Rule
% [2454]
% quotient(difference(t(A,quotient(A,B)),t(t(A,quotient(A,B)),A)),t(t(A,
% quotient(A,B)),A))
% ->
% quotient(quotient(A,quotient(B,A)),quotient(eta(t(A,quotient(A,B))),quotient(
% i(
% quotient(A,
% quotient(B,A))),
% t(A,
% quotient(A,B)))))
% collapsed.
% Rule
% [2469]
% quotient(difference(A,t(A,t(t(quotient(A,B),B),quotient(A,B)))),t(A,t(
% t(
% quotient(A,B),B),
% quotient(A,B))))
% ->
% quotient(quotient(A,quotient(t(quotient(A,B),B),A)),quotient(A,quotient(
% quotient(
% t(quotient(A,B),B),A),A)))
% collapsed.
% Rule
% [2470]
% quotient(quotient(quotient(difference(A,B),A),quotient(t(difference(A,B),
% quotient(difference(A,B),B)),
% quotient(difference(A,B),A))),
% t(t(difference(A,B),quotient(difference(A,B),B)),difference(A,B))) ->
% quotient(difference(A,B),A) collapsed.
% Rule
% [2479]
% quotient(difference(quotient(eta(A),j(eta(A))),t(quotient(eta(A),j(eta(A))),
% j(A))),t(quotient(eta(A),
% j(eta(A))),j(A))) ->
% quotient(i(i(i(A))),quotient(eta(quotient(eta(A),j(eta(A)))),quotient(
% i(i(i(i(A)))),
% quotient(
% eta(A),j(eta(A))))))
% collapsed.
% Rule
% [2480]
% quotient(difference(t(A,i(quotient(A,j(A)))),t(t(A,i(quotient(A,j(A)))),A)),
% t(t(A,i(quotient(A,j(A)))),A)) ->
% quotient(i(A),quotient(eta(t(A,i(quotient(A,j(A))))),quotient(i(i(A)),
% t(A,i(quotient(A,j(A)))))))
% collapsed.
% Rule
% [2488]
% quotient(difference(j(j(A)),i(A)),i(A)) ->
% quotient(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(i(quotient(
% eta(A),
% j(eta(A)))),
% j(j(A))))) collapsed.
% Current number of equations to process: 730
% Current number of ordered equations: 0
% Current number of rules: 1060
% New rule produced :
% [2490]
% quotient(A,quotient(quotient(eta(A),quotient(i(B),A)),quotient(eta(B),
% quotient(i(quotient(
% eta(A),
% quotient(
% i(B),A))),B))))
% -> quotient(eta(A),quotient(i(B),A))
% Current number of equations to process: 729
% Current number of ordered equations: 0
% Current number of rules: 1061
% New rule produced :
% [2491]
% quotient(quotient(difference(A,B),A),quotient(quotient(eta(B),quotient(
% i(A),B)),
% quotient(eta(A),quotient(i(quotient(
% eta(B),
% quotient(
% i(A),B))),A))))
% -> difference(A,B)
% Current number of equations to process: 728
% Current number of ordered equations: 0
% Current number of rules: 1062
% New rule produced :
% [2492]
% difference(t(difference(A,B),quotient(quotient(eta(B),quotient(i(A),B)),
% quotient(eta(A),quotient(i(quotient(eta(B),
% quotient(i(A),B))),A)))),
% quotient(difference(A,B),A)) -> difference(A,B)
% Current number of equations to process: 727
% Current number of ordered equations: 0
% Current number of rules: 1063
% New rule produced :
% [2493]
% quotient(quotient(quotient(eta(A),B),quotient(quotient(eta(B),quotient(
% i(C),j(B))),
% quotient(eta(C),quotient(i(quotient(
% eta(B),
% quotient(
% i(C),
% j(B)))),C)))),C)
% -> quotient(eta(A),B)
% Current number of equations to process: 726
% Current number of ordered equations: 0
% Current number of rules: 1064
% New rule produced :
% [2494]
% quotient(quotient(A,quotient(quotient(quotient(eta(A),quotient(i(B),A)),
% quotient(eta(B),quotient(i(quotient(eta(A),
% quotient(i(B),A))),B))),A)),B)
% ->
% quotient(quotient(eta(A),quotient(i(quotient(eta(A),quotient(i(B),A))),A)),B)
% Current number of equations to process: 725
% Current number of ordered equations: 0
% Current number of rules: 1065
% New rule produced :
% [2495]
% quotient(quotient(eta(A),quotient(i(A),j(j(j(A))))),quotient(eta(A),quotient(
% i(
% quotient(
% eta(A),
% quotient(
% i(A),
% j(
% j(j(A)))))),A)))
% -> quotient(j(eta(A)),i(i(A)))
% Current number of equations to process: 724
% Current number of ordered equations: 0
% Current number of rules: 1066
% New rule produced :
% [2496]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(eta(A),
% quotient(i(B),A)),
% quotient(eta(B),quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),B))),A)))
% -> quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)
% Current number of equations to process: 723
% Current number of ordered equations: 0
% Current number of rules: 1067
% New rule produced :
% [2497]
% quotient(quotient(eta(quotient(A,j(A))),A),quotient(eta(A),quotient(i(
% quotient(
% eta(
% quotient(A,
% j(A))),A)),A)))
% -> i(A)
% Current number of equations to process: 722
% Current number of ordered equations: 0
% Current number of rules: 1068
% New rule produced :
% [2498]
% quotient(t(A,i(quotient(A,j(A)))),quotient(eta(A),quotient(i(t(A,i(quotient(A,
% j(A))))),
% i(A)))) -> A
% Current number of equations to process: 721
% Current number of ordered equations: 0
% Current number of rules: 1069
% New rule produced :
% [2499]
% quotient(j(quotient(i(A),j(eta(B)))),quotient(eta(difference(i(i(B)),
% j(quotient(i(A),j(eta(B)))))),
% quotient(quotient(i(A),j(eta(B))),
% difference(i(i(B)),j(quotient(i(A),
% j(eta(B)))))))) <->
% quotient(difference(A,quotient(quotient(i(i(i(i(i(B))))),quotient(eta(
% quotient(
% j(B),
% i(i(B)))),
% quotient(i(i(
% i(
% i(
% i(i(B)))))),
% quotient(j(B),
% i(i(B)))))),
% i(i(i(i(B)))))),j(eta(B)))
% Current number of equations to process: 720
% Current number of ordered equations: 1
% Current number of rules: 1070
% New rule produced :
% [2500]
% quotient(difference(A,quotient(quotient(i(i(i(i(i(B))))),quotient(eta(
% quotient(
% j(B),
% i(i(B)))),
% quotient(i(i(
% i(
% i(
% i(i(B)))))),
% quotient(j(B),
% i(i(B)))))),
% i(i(i(i(B)))))),j(eta(B))) <->
% quotient(j(quotient(i(A),j(eta(B)))),quotient(eta(difference(i(i(B)),
% j(quotient(i(A),j(eta(B)))))),
% quotient(quotient(i(A),j(eta(B))),
% difference(i(i(B)),j(quotient(i(A),
% j(eta(B))))))))
% Current number of equations to process: 720
% Current number of ordered equations: 0
% Current number of rules: 1071
% New rule produced :
% [2501]
% quotient(quotient(eta(A),quotient(j(eta(B)),A)),quotient(eta(A),quotient(
% i(quotient(
% eta(A),
% quotient(
% j(eta(B)),A))),A)))
% -> quotient(quotient(A,j(eta(B))),quotient(A,quotient(j(eta(B)),A)))
% Current number of equations to process: 719
% Current number of ordered equations: 0
% Current number of rules: 1072
% New rule produced :
% [2502]
% quotient(quotient(quotient(difference(A,B),A),quotient(quotient(quotient(
% eta(B),
% quotient(
% i(A),B)),
% quotient(eta(A),
% quotient(i(quotient(
% eta(B),
% quotient(
% i(A),B))),A))),
% quotient(difference(A,B),A))),
% difference(A,B)) -> quotient(difference(A,B),A)
% Current number of equations to process: 718
% Current number of ordered equations: 0
% Current number of rules: 1073
% New rule produced :
% [2503]
% quotient(quotient(quotient(quotient(A,B),t(quotient(A,B),B)),quotient(
% t(A,quotient(A,
% quotient(
% eta(B),
% quotient(
% i(A),B)))),
% quotient(
% quotient(A,B),
% t(quotient(A,B),B)))),
% quotient(A,B)) -> quotient(quotient(A,B),t(quotient(A,B),B))
% Current number of equations to process: 717
% Current number of ordered equations: 0
% Current number of rules: 1074
% New rule produced :
% [2504]
% quotient(quotient(quotient(A,quotient(B,A)),quotient(quotient(A,B),quotient(A,
% quotient(B,A)))),
% t(t(quotient(A,quotient(B,A)),A),quotient(A,quotient(B,A)))) ->
% t(t(t(quotient(A,quotient(B,A)),A),quotient(A,quotient(B,A))),t(quotient(A,
% quotient(B,A)),A))
% Current number of equations to process: 716
% Current number of ordered equations: 0
% Current number of rules: 1075
% New rule produced :
% [2505]
% quotient(quotient(quotient(i(A),i(t(A,i(quotient(A,j(A)))))),quotient(
% t(A,i(quotient(A,
% j(A)))),
% quotient(
% i(A),i(t(A,
% i(
% quotient(A,
% j(A)))))))),
% i(A)) -> quotient(i(A),i(t(A,i(quotient(A,j(A))))))
% Current number of equations to process: 715
% Current number of ordered equations: 0
% Current number of rules: 1076
% New rule produced :
% [2506]
% quotient(quotient(eta(quotient(eta(A),j(eta(A)))),quotient(eta(A),eta(
% quotient(
% eta(A),
% j(eta(A)))))),
% j(t(eta(quotient(eta(A),j(eta(A)))),eta(A)))) ->
% t(j(t(eta(quotient(eta(A),j(eta(A)))),eta(A))),eta(quotient(eta(A),j(eta(A)))))
% Current number of equations to process: 714
% Current number of ordered equations: 0
% Current number of rules: 1077
% New rule produced :
% [2507]
% quotient(t(quotient(A,quotient(B,A)),quotient(B,A)),t(A,quotient(A,quotient(
% quotient(A,
% quotient(B,A)),
% quotient(
% quotient(A,B),
% quotient(A,
% quotient(B,A)))))))
% ->
% t(t(A,quotient(A,quotient(quotient(A,quotient(B,A)),quotient(quotient(A,B),
% quotient(A,quotient(B,A)))))),A)
% Current number of equations to process: 713
% Current number of ordered equations: 0
% Current number of rules: 1078
% New rule produced :
% [2508]
% quotient(difference(i(A),quotient(difference(i(t(t(quotient(A,B),B),quotient(A,B))),
% quotient(A,quotient(t(quotient(A,B),B),A))),
% t(t(quotient(A,B),B),quotient(A,B)))),A) ->
% quotient(A,quotient(t(quotient(A,B),B),A))
% Current number of equations to process: 712
% Current number of ordered equations: 0
% Current number of rules: 1079
% New rule produced :
% [2509]
% quotient(quotient(t(j(j(j(j(A)))),A),t(t(j(j(j(j(A)))),A),j(j(j(j(A)))))),
% quotient(t(j(j(j(j(A)))),A),quotient(j(j(A)),i(A)))) -> t(j(j(j(j(A)))),A)
% Current number of equations to process: 711
% Current number of ordered equations: 0
% Current number of rules: 1080
% New rule produced :
% [2510]
% quotient(quotient(eta(A),j(eta(A))),quotient(eta(quotient(i(i(i(A))),
% quotient(eta(A),quotient(
% i(i(i(i(A)))),
% j(A))))),
% quotient(i(quotient(eta(A),j(eta(A)))),
% quotient(i(i(i(A))),quotient(eta(A),
% quotient(i(i(i(i(A)))),
% j(A))))))) ->
% j(A)
% Current number of equations to process: 710
% Current number of ordered equations: 0
% Current number of rules: 1081
% New rule produced :
% [2511]
% quotient(eta(A),i(quotient(B,quotient(eta(quotient(quotient(eta(A),j(eta(B))),
% quotient(eta(B),quotient(i(
% quotient(
% eta(A),
% j(
% eta(B)))),
% j(B))))),quotient(
% i(
% quotient(
% eta(A),
% i(B))),
% quotient(
% quotient(
% eta(A),
% j(
% eta(B))),
% quotient(
% eta(B),
% quotient(
% i(
% quotient(
% eta(A),
% j(
% eta(B)))),
% j(B)))))))))
% -> j(B)
% Current number of equations to process: 709
% Current number of ordered equations: 0
% Current number of rules: 1082
% New rule produced :
% [2512]
% quotient(quotient(quotient(eta(A),j(eta(B))),quotient(t(quotient(eta(A),i(B)),
% j(B)),quotient(
% eta(A),j(eta(B))))),
% t(t(quotient(eta(A),i(B)),j(B)),quotient(eta(A),i(B)))) ->
% quotient(eta(A),j(eta(B)))
% Current number of equations to process: 707
% Current number of ordered equations: 0
% Current number of rules: 1083
% New rule produced :
% [2513]
% quotient(i(t(i(i(i(i(A)))),i(t(i(i(i(A))),i(t(i(i(A)),i(t(i(A),i(t(A,
% i(quotient(A,
% j(A))))))))))))),
% i(i(i(i(i(i(A))))))) -> i(i(i(i(A))))
% Current number of equations to process: 706
% Current number of ordered equations: 0
% Current number of rules: 1084
% New rule produced :
% [2514]
% t(eta(A),difference(j(B),A)) <->
% quotient(j(t(eta(A),B)),quotient(eta(difference(i(i(i(i(A)))),j(t(eta(A),B)))),
% quotient(t(eta(A),B),difference(i(i(i(i(A)))),
% j(t(eta(A),B))))))
% Current number of equations to process: 705
% Current number of ordered equations: 1
% Current number of rules: 1085
% New rule produced :
% [2515]
% quotient(j(t(eta(A),B)),quotient(eta(difference(i(i(i(i(A)))),j(t(eta(A),B)))),
% quotient(t(eta(A),B),difference(i(i(i(i(A)))),
% j(t(eta(A),B)))))) <->
% t(eta(A),difference(j(B),A))
% Current number of equations to process: 705
% Current number of ordered equations: 0
% Current number of rules: 1086
% New rule produced :
% [2516]
% t(eta(A),difference(i(B),A)) <->
% quotient(i(t(eta(A),B)),quotient(eta(difference(i(i(i(i(A)))),i(t(eta(A),B)))),
% quotient(i(i(t(eta(A),B))),difference(i(i(i(i(A)))),
% i(t(eta(A),B))))))
% Current number of equations to process: 704
% Current number of ordered equations: 1
% Current number of rules: 1087
% New rule produced :
% [2517]
% quotient(i(t(eta(A),B)),quotient(eta(difference(i(i(i(i(A)))),i(t(eta(A),B)))),
% quotient(i(i(t(eta(A),B))),difference(i(i(i(i(A)))),
% i(t(eta(A),B)))))) <->
% t(eta(A),difference(i(B),A))
% Current number of equations to process: 704
% Current number of ordered equations: 0
% Current number of rules: 1088
% New rule produced :
% [2518]
% quotient(difference(i(quotient(A,quotient(B,A))),quotient(difference(
% i(A),quotient(
% quotient(A,
% quotient(B,A)),
% quotient(
% quotient(A,B),
% quotient(A,
% quotient(B,A))))),A)),
% quotient(A,quotient(B,A))) ->
% quotient(quotient(A,quotient(B,A)),quotient(quotient(A,B),quotient(A,
% quotient(B,A))))
% Current number of equations to process: 702
% Current number of ordered equations: 0
% Current number of rules: 1089
% New rule produced :
% [2519]
% quotient(quotient(A,quotient(t(t(quotient(A,B),B),quotient(A,B)),A)),
% t(A,t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B)))) ->
% t(t(A,t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B))),A)
% Current number of equations to process: 701
% Current number of ordered equations: 0
% Current number of rules: 1090
% New rule produced :
% [2520]
% quotient(quotient(quotient(A,quotient(B,A)),quotient(t(A,quotient(A,B)),
% quotient(A,quotient(B,A)))),
% t(quotient(A,quotient(B,A)),t(t(A,quotient(A,B)),A))) ->
% t(t(quotient(A,quotient(B,A)),t(t(A,quotient(A,B)),A)),quotient(A,quotient(B,A)))
% Current number of equations to process: 700
% Current number of ordered equations: 0
% Current number of rules: 1091
% New rule produced :
% [2521] quotient(j(j(A)),quotient(j(eta(A)),i(i(i(A))))) -> j(eta(A))
% Current number of equations to process: 702
% Current number of ordered equations: 0
% Current number of rules: 1092
% New rule produced :
% [2522]
% quotient(quotient(j(eta(A)),j(j(j(j(j(A)))))),quotient(j(eta(A)),j(j(j(A)))))
% -> j(eta(A))
% Current number of equations to process: 703
% Current number of ordered equations: 0
% Current number of rules: 1093
% New rule produced :
% [2523]
% quotient(A,quotient(eta(B),quotient(difference(A,eta(B)),j(eta(B))))) ->
% eta(B)
% Current number of equations to process: 718
% Current number of ordered equations: 0
% Current number of rules: 1094
% New rule produced :
% [2524]
% quotient(t(quotient(eta(A),B),B),quotient(eta(A),quotient(quotient(eta(A),B),
% j(eta(A))))) -> eta(A)
% Current number of equations to process: 719
% Current number of ordered equations: 0
% Current number of rules: 1095
% New rule produced :
% [2525]
% quotient(t(t(quotient(eta(A),B),B),quotient(eta(A),B)),quotient(eta(A),
% quotient(t(quotient(
% eta(A),B),B),
% j(eta(A))))) ->
% eta(A)
% Current number of equations to process: 721
% Current number of ordered equations: 0
% Current number of rules: 1096
% New rule produced :
% [2526]
% t(eta(A),quotient(quotient(quotient(B,eta(A)),t(quotient(B,eta(A)),eta(A))),
% t(B,quotient(B,j(quotient(i(B),eta(A))))))) ->
% t(eta(A),quotient(B,eta(A)))
% Current number of equations to process: 720
% Current number of ordered equations: 0
% Current number of rules: 1097
% New rule produced :
% [2527]
% quotient(quotient(eta(A),B),t(eta(A),t(quotient(eta(A),quotient(B,j(eta(A)))),
% eta(A)))) ->
% t(eta(A),t(t(quotient(eta(A),quotient(B,j(eta(A)))),eta(A)),quotient(
% eta(A),quotient(B,
% j(
% eta(A))))))
% Current number of equations to process: 719
% Current number of ordered equations: 0
% Current number of rules: 1098
% New rule produced :
% [2528]
% quotient(t(eta(A),quotient(eta(A),quotient(quotient(B,j(eta(A))),j(eta(A))))),
% quotient(quotient(eta(A),quotient(B,j(eta(A)))),quotient(eta(A),B))) ->
% quotient(eta(A),quotient(B,j(eta(A))))
% Current number of equations to process: 718
% Current number of ordered equations: 0
% Current number of rules: 1099
% New rule produced :
% [2529] quotient(j(A),quotient(eta(A),j(j(j(j(A)))))) -> eta(A)
% Current number of equations to process: 718
% Current number of ordered equations: 0
% Current number of rules: 1100
% New rule produced : [2530] difference(j(eta(A)),i(i(A))) -> i(i(i(i(A))))
% Rule
% [1999]
% difference(i(t(i(i(A)),i(t(i(A),i(t(A,i(quotient(A,j(A))))))))),quotient(
% i(i(A)),
% quotient(
% quotient(
% difference(B,
% quotient(
% difference(
% j(eta(A)),
% i(i(A))),
% eta(A))),
% i(i(i(i(A))))),
% i(i(A))))) ->
% quotient(quotient(quotient(eta(B),quotient(i(i(t(i(i(A)),i(t(i(A),i(t(A,
% i(
% quotient(A,
% j(A)))))))))),B)),
% i(i(i(i(A))))),i(i(A))) collapsed.
% Rule
% [2414]
% quotient(i(i(A)),quotient(eta(difference(j(eta(A)),i(i(A)))),quotient(
% i(i(i(A))),
% difference(
% j(eta(A)),
% i(i(A)))))) ->
% quotient(i(i(A)),quotient(eta(A),i(t(i(A),i(t(A,i(quotient(A,j(A)))))))))
% collapsed.
% Current number of equations to process: 742
% Current number of ordered equations: 0
% Current number of rules: 1099
% New rule produced :
% [2531] difference(j(eta(A)),i(i(i(A)))) -> i(i(i(i(i(A)))))
% Current number of equations to process: 741
% Current number of ordered equations: 0
% Current number of rules: 1100
% New rule produced :
% [2532] difference(j(eta(A)),i(i(i(i(i(A)))))) -> i(i(i(i(i(i(i(A)))))))
% Current number of equations to process: 754
% Current number of ordered equations: 0
% Current number of rules: 1101
% New rule produced :
% [2533] difference(j(j(j(j(j(A))))),i(quotient(A,j(A)))) -> j(j(j(A)))
% Current number of equations to process: 753
% Current number of ordered equations: 0
% Current number of rules: 1102
% New rule produced :
% [2534] difference(j(j(j(j(A)))),i(t(A,i(quotient(A,j(A)))))) -> j(j(A))
% Current number of equations to process: 761
% Current number of ordered equations: 0
% Current number of rules: 1103
% New rule produced :
% [2535] difference(j(eta(A)),i(i(i(i(i(i(A))))))) -> i(i(i(i(i(i(i(i(A))))))))
% Current number of equations to process: 760
% Current number of ordered equations: 0
% Current number of rules: 1104
% New rule produced :
% [2536] difference(t(t(A,j(j(A))),A),quotient(A,j(j(j(A))))) -> t(A,j(j(A)))
% Current number of equations to process: 759
% Current number of ordered equations: 0
% Current number of rules: 1105
% New rule produced :
% [2537]
% difference(j(eta(A)),i(i(i(i(i(i(i(A)))))))) -> i(i(i(i(i(i(i(i(i(A)))))))))
% Current number of equations to process: 758
% Current number of ordered equations: 0
% Current number of rules: 1106
% New rule produced :
% [2538] difference(j(j(j(A))),i(t(i(A),i(t(A,i(quotient(A,j(A)))))))) -> j(A)
% Current number of equations to process: 758
% Current number of ordered equations: 0
% Current number of rules: 1107
% New rule produced :
% [2539]
% difference(j(j(A)),i(t(i(i(A)),i(t(i(A),i(t(A,i(quotient(A,j(A)))))))))) -> A
% Current number of equations to process: 766
% Current number of ordered equations: 0
% Current number of rules: 1108
% New rule produced :
% [2540]
% difference(t(t(A,quotient(A,quotient(eta(B),j(eta(A))))),A),quotient(A,
% quotient(
% eta(B),i(i(A)))))
% -> t(A,quotient(A,quotient(eta(B),j(eta(A)))))
% Current number of equations to process: 767
% Current number of ordered equations: 0
% Current number of rules: 1109
% New rule produced :
% [2541]
% quotient(j(eta(A)),quotient(eta(quotient(eta(A),j(eta(A)))),quotient(
% eta(A),j(
% eta(
% quotient(
% eta(A),
% j(
% eta(A))))))))
% -> eta(quotient(eta(A),j(eta(A))))
% Current number of equations to process: 766
% Current number of ordered equations: 0
% Current number of rules: 1110
% New rule produced :
% [2542]
% difference(j(A),i(t(i(i(i(A))),i(t(i(i(A)),i(t(i(A),i(t(A,i(quotient(A,j(A))))))))))))
% -> i(A)
% Current number of equations to process: 765
% Current number of ordered equations: 0
% Current number of rules: 1111
% New rule produced :
% [2543]
% difference(t(quotient(eta(A),B),eta(A)),quotient(quotient(eta(A),B),quotient(
% quotient(
% eta(A),
% quotient(B,
% j(
% eta(A)))),
% quotient(
% eta(A),B))))
% -> quotient(eta(A),B)
% Current number of equations to process: 764
% Current number of ordered equations: 0
% Current number of rules: 1112
% New rule produced :
% [2544]
% difference(t(t(j(A),quotient(j(A),i(i(i(A))))),j(A)),quotient(j(A),quotient(
% eta(A),
% j(
% eta(A)))))
% -> t(j(A),quotient(j(A),i(i(i(A)))))
% Current number of equations to process: 763
% Current number of ordered equations: 0
% Current number of rules: 1113
% New rule produced :
% [2545]
% difference(t(t(A,t(t(quotient(A,B),B),quotient(A,B))),A),quotient(A,quotient(
% t(
% quotient(A,B),B),A)))
% -> t(A,t(t(quotient(A,B),B),quotient(A,B)))
% Current number of equations to process: 762
% Current number of ordered equations: 0
% Current number of rules: 1114
% New rule produced :
% [2546]
% difference(t(t(j(A),quotient(j(A),i(i(A)))),j(A)),quotient(j(A),quotient(
% eta(A),
% i(quotient(A,
% j(A))))))
% -> t(j(A),quotient(j(A),i(i(A))))
% Current number of equations to process: 761
% Current number of ordered equations: 0
% Current number of rules: 1115
% New rule produced :
% [2547]
% difference(t(t(j(A),quotient(j(A),quotient(eta(B),j(eta(A))))),j(A)),
% quotient(j(A),quotient(eta(B),i(A)))) ->
% t(j(A),quotient(j(A),quotient(eta(B),j(eta(A)))))
% Current number of equations to process: 760
% Current number of ordered equations: 0
% Current number of rules: 1116
% New rule produced :
% [2548]
% t(eta(A),quotient(j(eta(A)),quotient(quotient(A,quotient(eta(A),i(t(i(A),
% i(t(A,
% i(
% quotient(A,
% j(A))))))))),
% eta(A)))) -> i(i(i(i(i(i(A))))))
% Current number of equations to process: 759
% Current number of ordered equations: 0
% Current number of rules: 1117
% New rule produced :
% [2549]
% difference(t(t(quotient(A,j(eta(B))),A),quotient(A,j(eta(B)))),quotient(
% quotient(A,
% j(eta(B))),
% quotient(
% eta(B),
% quotient(A,
% j(eta(B))))))
% -> t(quotient(A,j(eta(B))),A)
% Current number of equations to process: 758
% Current number of ordered equations: 0
% Current number of rules: 1118
% New rule produced :
% [2550]
% quotient(quotient(quotient(eta(A),B),quotient(quotient(eta(A),quotient(B,
% j(eta(A)))),
% quotient(eta(A),B))),t(quotient(
% eta(A),B),
% eta(A))) ->
% t(t(quotient(eta(A),B),eta(A)),quotient(eta(A),B))
% Current number of equations to process: 757
% Current number of ordered equations: 0
% Current number of rules: 1119
% New rule produced :
% [2551]
% difference(t(t(quotient(A,quotient(B,A)),A),quotient(A,quotient(B,A))),
% quotient(quotient(A,quotient(B,A)),quotient(quotient(A,B),quotient(A,
% quotient(B,A)))))
% -> t(quotient(A,quotient(B,A)),A)
% Current number of equations to process: 756
% Current number of ordered equations: 0
% Current number of rules: 1120
% New rule produced :
% [2552]
% difference(t(t(i(i(A)),quotient(eta(A),i(quotient(A,j(A))))),i(i(A))),
% quotient(i(i(A)),quotient(j(A),i(i(A))))) ->
% t(i(i(A)),quotient(eta(A),i(quotient(A,j(A)))))
% Current number of equations to process: 755
% Current number of ordered equations: 0
% Current number of rules: 1121
% New rule produced :
% [2553]
% difference(A,i(t(i(i(i(i(A)))),i(t(i(i(i(A))),i(t(i(i(A)),i(t(i(A),i(
% t(A,
% i(
% quotient(A,
% j(A))))))))))))))
% -> i(i(A))
% Current number of equations to process: 754
% Current number of ordered equations: 0
% Current number of rules: 1122
% New rule produced :
% [2554]
% difference(t(t(i(i(i(A))),quotient(eta(A),j(eta(A)))),i(i(i(A)))),quotient(
% i(i(i(A))),
% quotient(
% j(A),
% i(i(i(A))))))
% -> t(i(i(i(A))),quotient(eta(A),j(eta(A))))
% Current number of equations to process: 753
% Current number of ordered equations: 0
% Current number of rules: 1123
% New rule produced :
% [2555]
% difference(j(eta(A)),i(i(i(i(i(i(i(i(A))))))))) ->
% i(i(i(i(i(i(i(i(i(i(A))))))))))
% Current number of equations to process: 776
% Current number of ordered equations: 0
% Current number of rules: 1124
% New rule produced :
% [2556]
% difference(t(t(j(eta(A)),j(j(A))),j(eta(A))),quotient(j(eta(A)),j(A))) ->
% t(j(eta(A)),j(j(A)))
% Current number of equations to process: 783
% Current number of ordered equations: 1
% Current number of rules: 1125
% New rule produced :
% [2557]
% difference(t(t(i(A),j(A)),i(A)),quotient(eta(A),i(quotient(j(A),j(j(A))))))
% -> t(i(A),j(A))
% Current number of equations to process: 783
% Current number of ordered equations: 0
% Current number of rules: 1126
% New rule produced :
% [2558]
% quotient(quotient(j(eta(A)),j(eta(B))),quotient(eta(B),quotient(j(eta(A)),
% j(eta(B))))) ->
% quotient(quotient(j(eta(A)),j(eta(B))),eta(A))
% Current number of equations to process: 783
% Current number of ordered equations: 0
% Current number of rules: 1127
% New rule produced :
% [2559]
% difference(t(t(j(A),j(j(j(A)))),j(A)),quotient(j(A),quotient(j(eta(A)),j(A))))
% -> t(j(A),j(j(j(A))))
% Current number of equations to process: 782
% Current number of ordered equations: 0
% Current number of rules: 1128
% New rule produced :
% [2560]
% quotient(t(quotient(A,j(eta(B))),j(eta(B))),quotient(A,quotient(quotient(A,
% j(eta(B))),
% quotient(eta(B),
% quotient(A,j(eta(B)))))))
% -> A
% Current number of equations to process: 782
% Current number of ordered equations: 0
% Current number of rules: 1129
% New rule produced :
% [2561]
% difference(t(t(A,i(t(A,i(quotient(A,j(A)))))),A),quotient(A,t(A,i(quotient(A,
% j(A))))))
% -> t(A,i(t(A,i(quotient(A,j(A))))))
% Current number of equations to process: 781
% Current number of ordered equations: 0
% Current number of rules: 1130
% New rule produced :
% [2562]
% difference(t(t(j(eta(A)),quotient(j(eta(A)),j(A))),j(eta(A))),quotient(
% j(eta(A)),
% j(j(j(A))))) ->
% t(j(eta(A)),quotient(j(eta(A)),j(A)))
% Current number of equations to process: 780
% Current number of ordered equations: 0
% Current number of rules: 1131
% New rule produced :
% [2563]
% difference(t(t(j(eta(A)),j(j(j(j(j(A)))))),j(eta(A))),quotient(j(eta(A)),
% j(j(j(j(A)))))) ->
% t(j(eta(A)),j(j(j(j(j(A))))))
% Current number of equations to process: 779
% Current number of ordered equations: 0
% Current number of rules: 1132
% New rule produced :
% [2564]
% difference(t(t(i(A),t(A,i(quotient(A,j(A))))),i(A)),quotient(i(A),i(t(A,
% i(
% quotient(A,
% j(A)))))))
% -> t(i(A),t(A,i(quotient(A,j(A)))))
% Current number of equations to process: 778
% Current number of ordered equations: 0
% Current number of rules: 1133
% New rule produced :
% [2565]
% difference(t(t(quotient(eta(A),B),eta(A)),quotient(eta(A),B)),quotient(
% quotient(
% eta(A),B),
% quotient(
% quotient(
% eta(A),
% quotient(B,
% j(eta(A)))),
% quotient(
% eta(A),B)))) ->
% t(quotient(eta(A),B),eta(A))
% Current number of equations to process: 777
% Current number of ordered equations: 0
% Current number of rules: 1134
% New rule produced :
% [2566]
% difference(t(t(quotient(A,B),t(A,quotient(A,quotient(eta(B),quotient(i(A),B))))),
% quotient(A,B)),quotient(quotient(A,B),t(quotient(A,B),B))) ->
% t(quotient(A,B),t(A,quotient(A,quotient(eta(B),quotient(i(A),B)))))
% Current number of equations to process: 776
% Current number of ordered equations: 0
% Current number of rules: 1135
% New rule produced :
% [2567]
% difference(t(t(difference(A,eta(B)),i(quotient(eta(B),quotient(i(A),B)))),
% difference(A,eta(B))),quotient(difference(A,eta(B)),quotient(B,
% difference(A,
% eta(B))))) ->
% t(difference(A,eta(B)),i(quotient(eta(B),quotient(i(A),B))))
% Current number of equations to process: 775
% Current number of ordered equations: 0
% Current number of rules: 1136
% New rule produced :
% [2568]
% quotient(quotient(j(j(j(j(A)))),quotient(eta(A),j(j(j(j(A)))))),j(j(A))) ->
% j(j(j(j(A))))
% Current number of equations to process: 784
% Current number of ordered equations: 0
% Current number of rules: 1137
% New rule produced : [2569] t(j(eta(A)),i(i(i(i(i(i(A))))))) -> i(i(A))
% Current number of equations to process: 798
% Current number of ordered equations: 0
% Current number of rules: 1138
% New rule produced :
% [2570]
% quotient(i(quotient(A,j(A))),j(j(j(j(j(A)))))) -> j(j(j(j(j(j(j(A)))))))
% Current number of equations to process: 810
% Current number of ordered equations: 0
% Current number of rules: 1139
% New rule produced :
% [2571]
% quotient(i(i(i(i(i(A))))),j(eta(A))) -> t(j(eta(A)),i(i(i(i(i(i(i(A))))))))
% Current number of equations to process: 818
% Current number of ordered equations: 0
% Current number of rules: 1140
% New rule produced :
% [2572]
% quotient(i(t(A,i(quotient(A,j(A))))),j(j(j(j(A))))) -> j(j(j(j(j(j(A))))))
% Current number of equations to process: 817
% Current number of ordered equations: 0
% Current number of rules: 1141
% New rule produced :
% [2573]
% quotient(quotient(eta(A),quotient(i(B),A)),t(t(A,B),A)) ->
% t(t(t(A,B),A),t(A,B))
% Current number of equations to process: 816
% Current number of ordered equations: 0
% Current number of rules: 1142
% New rule produced :
% [2574]
% quotient(i(i(i(i(i(i(A)))))),j(eta(A))) ->
% t(j(eta(A)),i(i(i(i(i(i(i(i(A)))))))))
% Current number of equations to process: 815
% Current number of ordered equations: 0
% Current number of rules: 1143
% New rule produced :
% [2575]
% quotient(i(i(i(i(i(i(i(A))))))),j(eta(A))) ->
% t(j(eta(A)),i(i(i(i(i(i(i(i(i(A))))))))))
% Current number of equations to process: 816
% Current number of ordered equations: 0
% Current number of rules: 1144
% New rule produced :
% [2576]
% quotient(i(t(i(A),i(t(A,i(quotient(A,j(A))))))),j(j(j(A)))) ->
% j(j(j(j(j(A)))))
% Current number of equations to process: 815
% Current number of ordered equations: 0
% Current number of rules: 1145
% New rule produced :
% [2577]
% quotient(quotient(A,j(j(j(A)))),t(t(A,j(j(A))),A)) ->
% t(t(t(A,j(j(A))),A),t(A,j(j(A))))
% Current number of equations to process: 816
% Current number of ordered equations: 0
% Current number of rules: 1146
% New rule produced :
% [2578]
% quotient(i(t(i(i(A)),i(t(i(A),i(t(A,i(quotient(A,j(A))))))))),j(j(A))) ->
% j(j(j(j(A))))
% Current number of equations to process: 822
% Current number of ordered equations: 0
% Current number of rules: 1147
% New rule produced :
% [2579]
% quotient(t(eta(A),quotient(quotient(eta(A),j(eta(B))),quotient(eta(B),
% quotient(eta(A),
% j(eta(B)))))),quotient(
% eta(A),
% j(
% eta(B))))
% -> eta(A)
% Current number of equations to process: 824
% Current number of ordered equations: 0
% Current number of rules: 1148
% New rule produced :
% [2580]
% quotient(i(t(i(i(i(A))),i(t(i(i(A)),i(t(i(A),i(t(A,i(quotient(A,j(A))))))))))),
% j(A)) -> j(j(j(A)))
% Current number of equations to process: 823
% Current number of ordered equations: 0
% Current number of rules: 1149
% New rule produced :
% [2581]
% t(eta(A),quotient(quotient(eta(A),quotient(B,eta(A))),t(eta(A),t(quotient(
% eta(A),B),
% eta(A))))) ->
% t(eta(A),t(eta(A),t(t(quotient(eta(A),B),eta(A)),quotient(eta(A),B))))
% Current number of equations to process: 822
% Current number of ordered equations: 0
% Current number of rules: 1150
% New rule produced :
% [2582]
% quotient(j(j(j(j(j(A))))),t(t(j(eta(A)),j(j(j(A)))),j(eta(A)))) ->
% t(t(t(j(eta(A)),j(j(j(A)))),j(eta(A))),t(j(eta(A)),j(j(j(A)))))
% Current number of equations to process: 821
% Current number of ordered equations: 0
% Current number of rules: 1151
% New rule produced :
% [2583]
% quotient(quotient(A,t(A,quotient(A,quotient(eta(B),quotient(i(A),B))))),
% t(t(A,t(quotient(A,B),B)),A)) ->
% t(t(t(A,t(quotient(A,B),B)),A),t(A,t(quotient(A,B),B)))
% Current number of equations to process: 820
% Current number of ordered equations: 0
% Current number of rules: 1152
% New rule produced :
% [2584]
% quotient(quotient(A,j(j(j(j(A))))),t(t(A,quotient(A,quotient(j(j(A)),i(A)))),A))
% ->
% t(t(t(A,quotient(A,quotient(j(j(A)),i(A)))),A),t(A,quotient(A,quotient(
% j(j(A)),
% i(A)))))
% Current number of equations to process: 818
% Current number of ordered equations: 0
% Current number of rules: 1153
% New rule produced :
% [2585]
% quotient(i(t(i(i(i(i(A)))),i(t(i(i(i(A))),i(t(i(i(A)),i(t(i(A),i(t(A,
% i(quotient(A,
% j(A))))))))))))),A)
% -> j(j(A))
% Current number of equations to process: 817
% Current number of ordered equations: 0
% Current number of rules: 1154
% New rule produced :
% [2586]
% quotient(quotient(A,quotient(eta(B),i(i(A)))),t(t(A,quotient(A,quotient(
% eta(B),
% j(eta(A))))),A))
% ->
% t(t(t(A,quotient(A,quotient(eta(B),j(eta(A))))),A),t(A,quotient(A,quotient(
% eta(B),
% j(eta(A))))))
% Current number of equations to process: 816
% Current number of ordered equations: 0
% Current number of rules: 1155
% New rule produced :
% [2587]
% quotient(quotient(j(A),quotient(eta(A),i(quotient(A,j(A))))),t(t(j(A),
% quotient(
% j(A),i(i(A)))),
% j(A))) ->
% t(t(t(j(A),quotient(j(A),i(i(A)))),j(A)),t(j(A),quotient(j(A),i(i(A)))))
% Current number of equations to process: 815
% Current number of ordered equations: 0
% Current number of rules: 1156
% New rule produced :
% [2588]
% quotient(quotient(quotient(A,quotient(B,A)),quotient(t(t(A,quotient(A,B)),A),
% quotient(A,quotient(B,A)))),
% t(t(t(A,quotient(A,B)),A),t(A,quotient(A,B)))) -> quotient(A,quotient(B,A))
% Current number of equations to process: 814
% Current number of ordered equations: 0
% Current number of rules: 1157
% New rule produced :
% [2589]
% quotient(quotient(j(A),quotient(eta(A),j(eta(A)))),t(t(j(A),quotient(
% j(A),i(i(i(A))))),
% j(A))) ->
% t(t(t(j(A),quotient(j(A),i(i(i(A))))),j(A)),t(j(A),quotient(j(A),i(i(i(A))))))
% Current number of equations to process: 813
% Current number of ordered equations: 0
% Current number of rules: 1158
% New rule produced :
% [2590]
% quotient(i(i(i(i(i(i(i(i(A)))))))),j(eta(A))) ->
% t(j(eta(A)),i(i(i(i(i(i(i(i(i(i(A)))))))))))
% Current number of equations to process: 842
% Current number of ordered equations: 0
% Current number of rules: 1159
% Rule [1993]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% quotient(
% i(B),
% i(
% i(
% i(
% i(i(A)))))),
% eta(A)),
% eta(A)))) ->
% quotient(eta(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),
% quotient(i(i(
% i(
% i(
% i(i(A)))))),
% eta(A))))),quotient(
% i(B),
% difference(
% quotient(
% eta(A),
% j(
% eta(A))),
% quotient(
% eta(A),
% quotient(
% i(
% i(
% i(
% i(
% i(i(A)))))),
% eta(A)))))) is composed into
% [1993]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% quotient(
% i(B),i(
% i(
% i(
% i(i(A)))))),
% eta(A)),
% eta(A)))) ->
% quotient(eta(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),i(
% i(
% i(
% i(
% i(
% i(
% i(i(A))))))))))),
% quotient(i(B),difference(quotient(eta(A),j(eta(A))),quotient(eta(A),i(
% i(
% i(
% i(
% i(
% i(
% i(i(A))))))))))))
% New rule produced :
% [2591] quotient(i(i(i(i(i(i(A)))))),eta(A)) -> i(i(i(i(i(i(i(i(A))))))))
% Rule
% [2443]
% quotient(quotient(eta(A),quotient(i(i(i(i(i(i(A)))))),eta(A))),i(i(i(
% i(
% i(
% i(i(A))))))))
% -> eta(A) collapsed.
% Current number of equations to process: 854
% Current number of ordered equations: 0
% Current number of rules: 1159
% New rule produced :
% [2592]
% quotient(t(eta(A),B),i(i(i(i(i(i(i(A)))))))) ->
% t(eta(A),quotient(B,i(i(i(A)))))
% Current number of equations to process: 854
% Current number of ordered equations: 0
% Current number of rules: 1160
% New rule produced :
% [2593]
% quotient(eta(A),i(quotient(quotient(j(A),j(j(A))),t(t(i(A),j(A)),i(A))))) ->
% t(t(t(i(A),j(A)),i(A)),t(i(A),j(A)))
% Current number of equations to process: 854
% Current number of ordered equations: 0
% Current number of rules: 1161
% New rule produced :
% [2594]
% quotient(i(i(i(i(i(A))))),t(j(eta(A)),i(i(i(i(i(i(i(A))))))))) ->
% t(t(j(eta(A)),i(i(i(i(i(i(i(A)))))))),j(eta(A)))
% Current number of equations to process: 853
% Current number of ordered equations: 0
% Current number of rules: 1162
% New rule produced :
% [2595]
% quotient(quotient(j(eta(A)),j(A)),t(t(j(eta(A)),j(j(A))),j(eta(A)))) ->
% t(t(t(j(eta(A)),j(j(A))),j(eta(A))),t(j(eta(A)),j(j(A))))
% Current number of equations to process: 852
% Current number of ordered equations: 0
% Current number of rules: 1163
% New rule produced :
% [2596]
% quotient(quotient(j(A),quotient(j(eta(A)),j(A))),t(t(j(A),j(j(j(A)))),j(A)))
% -> t(t(t(j(A),j(j(j(A)))),j(A)),t(j(A),j(j(j(A)))))
% Current number of equations to process: 851
% Current number of ordered equations: 0
% Current number of rules: 1164
% New rule produced :
% [2597]
% quotient(quotient(eta(t(eta(A),B)),t(eta(A),quotient(j(eta(A)),B))),t(
% eta(A),
% t(
% t(B,
% eta(A)),B)))
% -> t(eta(A),t(t(t(B,eta(A)),B),t(B,eta(A))))
% Current number of equations to process: 850
% Current number of ordered equations: 0
% Current number of rules: 1165
% New rule produced :
% [2598]
% quotient(quotient(A,t(A,i(quotient(A,j(A))))),t(t(A,i(t(A,i(quotient(A,j(A)))))),A))
% -> t(t(t(A,i(t(A,i(quotient(A,j(A)))))),A),t(A,i(t(A,i(quotient(A,j(A)))))))
% Current number of equations to process: 849
% Current number of ordered equations: 0
% Current number of rules: 1166
% New rule produced :
% [2599]
% quotient(t(j(eta(A)),quotient(j(eta(A)),B)),quotient(j(eta(A)),quotient(B,
% j(eta(A)))))
% -> t(quotient(j(eta(A)),quotient(B,j(eta(A)))),eta(A))
% Current number of equations to process: 862
% Current number of ordered equations: 0
% Current number of rules: 1167
% New rule produced :
% [2600]
% quotient(t(j(eta(A)),t(quotient(j(eta(A)),B),B)),eta(A)) ->
% quotient(j(eta(A)),t(j(eta(A)),quotient(j(eta(A)),quotient(eta(B),quotient(
% eta(A),B)))))
% Current number of equations to process: 861
% Current number of ordered equations: 0
% Current number of rules: 1168
% New rule produced :
% [2601]
% quotient(quotient(eta(A),quotient(j(eta(A)),quotient(B,j(eta(A))))),quotient(
% eta(A),
% t(
% j(
% eta(A)),
% quotient(
% j(
% eta(A)),B))))
% -> eta(A)
% Current number of equations to process: 860
% Current number of ordered equations: 0
% Current number of rules: 1169
% New rule produced :
% [2602]
% quotient(j(eta(A)),quotient(j(quotient(i(B),j(eta(A)))),quotient(eta(B),
% quotient(quotient(
% i(B),
% j(eta(A))),B))))
% -> quotient(t(j(eta(A)),B),eta(A))
% Current number of equations to process: 859
% Current number of ordered equations: 0
% Current number of rules: 1170
% New rule produced :
% [2603]
% quotient(t(j(eta(A)),t(t(quotient(j(eta(A)),B),B),quotient(j(eta(A)),B))),
% eta(A)) -> quotient(j(eta(A)),quotient(t(quotient(j(eta(A)),B),B),j(eta(A))))
% Current number of equations to process: 858
% Current number of ordered equations: 0
% Current number of rules: 1171
% New rule produced :
% [2604]
% quotient(quotient(j(eta(A)),t(j(eta(A)),i(i(i(i(i(i(i(A))))))))),quotient(
% j(eta(A)),
% i(i(
% i(
% i(i(A)))))))
% -> j(eta(A))
% Current number of equations to process: 857
% Current number of ordered equations: 0
% Current number of rules: 1172
% New rule produced :
% [2605]
% quotient(quotient(i(i(i(i(i(A))))),quotient(j(eta(A)),i(i(i(i(i(A))))))),
% t(j(eta(A)),i(i(i(i(i(i(i(A))))))))) -> i(i(i(i(i(A)))))
% Current number of equations to process: 856
% Current number of ordered equations: 0
% Current number of rules: 1173
% New rule produced :
% [2606]
% quotient(t(j(eta(A)),quotient(j(eta(A)),B)),t(quotient(j(eta(A)),quotient(B,
% j(eta(A)))),
% eta(A))) ->
% t(t(quotient(j(eta(A)),quotient(B,j(eta(A)))),eta(A)),quotient(j(eta(A)),
% quotient(B,j(eta(A)))))
% Current number of equations to process: 855
% Current number of ordered equations: 0
% Current number of rules: 1174
% New rule produced :
% [2607]
% t(quotient(eta(A),j(eta(A))),t(eta(A),B)) ->
% t(eta(A),t(quotient(eta(A),j(eta(A))),B))
% Current number of equations to process: 876
% Current number of ordered equations: 1
% Current number of rules: 1175
% New rule produced :
% [2608]
% t(t(eta(A),B),quotient(eta(A),j(eta(A)))) ->
% t(eta(A),t(B,quotient(eta(A),j(eta(A)))))
% Current number of equations to process: 876
% Current number of ordered equations: 0
% Current number of rules: 1176
% New rule produced :
% [2609]
% quotient(quotient(eta(A),j(eta(A))),t(eta(A),B)) ->
% t(eta(A),quotient(quotient(eta(A),j(eta(A))),B))
% Rule
% [2448]
% quotient(quotient(eta(A),j(eta(A))),t(eta(A),quotient(eta(A),eta(quotient(
% eta(A),
% j(eta(A)))))))
% -> t(eta(A),t(quotient(eta(A),eta(quotient(eta(A),j(eta(A))))),eta(A)))
% collapsed.
% Current number of equations to process: 875
% Current number of ordered equations: 1
% Current number of rules: 1176
% New rule produced :
% [2610]
% quotient(t(eta(A),B),quotient(eta(A),j(eta(A)))) ->
% t(eta(A),quotient(B,quotient(eta(A),j(eta(A)))))
% Current number of equations to process: 875
% Current number of ordered equations: 0
% Current number of rules: 1177
% New rule produced :
% [2611]
% t(eta(A),quotient(quotient(eta(A),j(eta(A))),j(eta(A)))) ->
% quotient(quotient(eta(A),j(eta(A))),j(eta(A)))
% Current number of equations to process: 874
% Current number of ordered equations: 0
% Current number of rules: 1178
% New rule produced :
% [2612]
% t(eta(A),quotient(j(eta(A)),quotient(eta(A),j(eta(A))))) ->
% quotient(j(eta(A)),quotient(eta(A),j(eta(A))))
% Current number of equations to process: 873
% Current number of ordered equations: 0
% Current number of rules: 1179
% New rule produced :
% [2613]
% t(eta(A),difference(j(eta(A)),quotient(eta(A),j(eta(A))))) ->
% difference(j(eta(A)),quotient(eta(A),j(eta(A))))
% Current number of equations to process: 872
% Current number of ordered equations: 0
% Current number of rules: 1180
% New rule produced :
% [2614]
% t(eta(A),quotient(eta(A),i(quotient(eta(A),j(eta(A)))))) ->
% quotient(eta(A),i(quotient(eta(A),j(eta(A)))))
% Current number of equations to process: 871
% Current number of ordered equations: 0
% Current number of rules: 1181
% New rule produced :
% [2615]
% quotient(t(eta(A),t(j(eta(A)),quotient(j(eta(A)),B))),quotient(j(eta(A)),
% quotient(B,j(eta(A)))))
% -> eta(A)
% Current number of equations to process: 870
% Current number of ordered equations: 0
% Current number of rules: 1182
% New rule produced :
% [2616]
% quotient(t(j(eta(A)),quotient(j(eta(A)),B)),quotient(eta(A),i(t(j(eta(A)),
% quotient(
% j(eta(A)),B)))))
% -> j(eta(A))
% Current number of equations to process: 869
% Current number of ordered equations: 0
% Current number of rules: 1183
% New rule produced :
% [2617]
% t(eta(A),t(quotient(eta(A),eta(quotient(eta(A),j(eta(A))))),eta(A))) ->
% eta(A)
% Current number of equations to process: 868
% Current number of ordered equations: 0
% Current number of rules: 1184
% New rule produced :
% [2618]
% t(eta(A),quotient(quotient(eta(A),j(eta(A))),quotient(j(quotient(i(quotient(
% eta(B),
% quotient(
% j(A),B))),
% j(eta(A)))),j(j(A)))))
% -> quotient(quotient(eta(A),j(eta(A))),quotient(B,eta(A)))
% Current number of equations to process: 867
% Current number of ordered equations: 0
% Current number of rules: 1185
% New rule produced : [2619] t(quotient(eta(A),j(eta(A))),eta(A)) -> eta(A)
% Current number of equations to process: 880
% Current number of ordered equations: 0
% Current number of rules: 1186
% New rule produced :
% [2620]
% difference(j(quotient(eta(A),j(eta(A)))),t(eta(A),B)) ->
% t(eta(A),difference(j(quotient(eta(A),j(eta(A)))),B))
% Current number of equations to process: 878
% Current number of ordered equations: 1
% Current number of rules: 1187
% New rule produced :
% [2621]
% difference(j(t(eta(A),B)),quotient(eta(A),j(eta(A)))) ->
% t(eta(A),difference(j(B),quotient(eta(A),j(eta(A)))))
% Current number of equations to process: 878
% Current number of ordered equations: 0
% Current number of rules: 1188
% New rule produced :
% [2622]
% quotient(quotient(eta(A),j(eta(A))),j(t(eta(A),B))) ->
% t(eta(A),quotient(quotient(eta(A),j(eta(A))),j(B)))
% Current number of equations to process: 876
% Current number of ordered equations: 1
% Current number of rules: 1189
% New rule produced :
% [2623]
% quotient(t(eta(A),B),j(quotient(eta(A),j(eta(A))))) ->
% t(eta(A),quotient(B,j(quotient(eta(A),j(eta(A))))))
% Current number of equations to process: 876
% Current number of ordered equations: 0
% Current number of rules: 1190
% New rule produced :
% [2624]
% quotient(j(quotient(eta(A),j(eta(A)))),t(eta(A),B)) ->
% t(eta(A),quotient(j(quotient(eta(A),j(eta(A)))),B))
% Current number of equations to process: 874
% Current number of ordered equations: 1
% Current number of rules: 1191
% New rule produced :
% [2625]
% quotient(j(t(eta(A),B)),quotient(eta(A),j(eta(A)))) ->
% t(eta(A),quotient(j(B),quotient(eta(A),j(eta(A)))))
% Current number of equations to process: 874
% Current number of ordered equations: 0
% Current number of rules: 1192
% New rule produced :
% [2626]
% difference(i(quotient(eta(A),j(eta(A)))),t(eta(A),B)) ->
% t(eta(A),difference(i(quotient(eta(A),j(eta(A)))),B))
% Current number of equations to process: 872
% Current number of ordered equations: 1
% Current number of rules: 1193
% New rule produced :
% [2627]
% difference(i(t(eta(A),B)),quotient(eta(A),j(eta(A)))) ->
% t(eta(A),difference(i(B),quotient(eta(A),j(eta(A)))))
% Current number of equations to process: 872
% Current number of ordered equations: 0
% Current number of rules: 1194
% New rule produced :
% [2628]
% quotient(quotient(eta(A),j(eta(A))),i(t(eta(A),B))) ->
% t(eta(A),quotient(quotient(eta(A),j(eta(A))),i(B)))
% Current number of equations to process: 870
% Current number of ordered equations: 1
% Current number of rules: 1195
% New rule produced :
% [2629]
% quotient(t(eta(A),B),i(quotient(eta(A),j(eta(A))))) ->
% t(eta(A),quotient(B,i(quotient(eta(A),j(eta(A))))))
% Current number of equations to process: 870
% Current number of ordered equations: 0
% Current number of rules: 1196
% New rule produced :
% [2630]
% quotient(i(quotient(eta(A),j(eta(A)))),t(eta(A),B)) ->
% t(eta(A),quotient(i(quotient(eta(A),j(eta(A)))),B))
% Current number of equations to process: 868
% Current number of ordered equations: 1
% Current number of rules: 1197
% New rule produced :
% [2631]
% quotient(i(t(eta(A),B)),quotient(eta(A),j(eta(A)))) ->
% t(eta(A),quotient(i(B),quotient(eta(A),j(eta(A)))))
% Current number of equations to process: 868
% Current number of ordered equations: 0
% Current number of rules: 1198
% New rule produced :
% [2632]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),i(quotient(eta(A),
% j(eta(A)))))) ->
% eta(A)
% Current number of equations to process: 867
% Current number of ordered equations: 0
% Current number of rules: 1199
% New rule produced :
% [2633]
% quotient(eta(A),j(j(t(eta(A),B)))) -> t(eta(A),quotient(eta(A),j(j(B))))
% Current number of equations to process: 867
% Current number of ordered equations: 0
% Current number of rules: 1200
% New rule produced :
% [2634]
% quotient(j(j(t(eta(A),B))),eta(A)) -> t(eta(A),quotient(j(j(B)),eta(A)))
% Current number of equations to process: 870
% Current number of ordered equations: 0
% Current number of rules: 1201
% New rule produced :
% [2635]
% t(eta(A),quotient(eta(A),j(quotient(eta(A),j(eta(A)))))) ->
% quotient(eta(A),j(quotient(eta(A),j(eta(A)))))
% Current number of equations to process: 869
% Current number of ordered equations: 0
% Current number of rules: 1202
% New rule produced :
% [2636]
% quotient(eta(A),quotient(eta(t(eta(A),B)),t(eta(A),quotient(j(eta(A)),j(B)))))
% -> t(eta(A),quotient(eta(A),quotient(eta(B),quotient(j(eta(A)),j(B)))))
% Current number of equations to process: 868
% Current number of ordered equations: 0
% Current number of rules: 1203
% New rule produced :
% [2637]
% quotient(i(i(t(eta(A),B))),eta(A)) -> t(eta(A),quotient(i(i(B)),eta(A)))
% Current number of equations to process: 869
% Current number of ordered equations: 0
% Current number of rules: 1204
% New rule produced :
% [2638]
% t(eta(A),quotient(j(quotient(eta(A),j(eta(A)))),eta(A))) ->
% quotient(j(quotient(eta(A),j(eta(A)))),eta(A))
% Current number of equations to process: 868
% Current number of ordered equations: 0
% Current number of rules: 1205
% New rule produced :
% [2639]
% t(eta(A),quotient(i(quotient(eta(A),j(eta(A)))),eta(A))) ->
% quotient(i(quotient(eta(A),j(eta(A)))),eta(A))
% Current number of equations to process: 868
% Current number of ordered equations: 0
% Current number of rules: 1206
% New rule produced :
% [2640]
% t(eta(A),eta(quotient(quotient(quotient(A,j(A)),eta(A)),A))) ->
% eta(quotient(quotient(quotient(A,j(A)),eta(A)),A))
% Current number of equations to process: 880
% Current number of ordered equations: 0
% Current number of rules: 1207
% New rule produced :
% [2641]
% t(t(eta(A),B),quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))) ->
% t(eta(A),t(B,quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))))
% Current number of equations to process: 877
% Current number of ordered equations: 1
% Current number of rules: 1208
% New rule produced :
% [2642]
% t(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),eta(A)),
% t(eta(A),B)) ->
% t(eta(A),t(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A)),B))
% Current number of equations to process: 877
% Current number of ordered equations: 0
% Current number of rules: 1209
% New rule produced :
% [2643]
% quotient(t(eta(A),B),quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))) ->
% t(eta(A),quotient(B,quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))))
% Current number of equations to process: 875
% Current number of ordered equations: 1
% Current number of rules: 1210
% New rule produced :
% [2644]
% quotient(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),eta(A)),
% t(eta(A),B)) ->
% t(eta(A),quotient(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A)),B))
% Current number of equations to process: 875
% Current number of ordered equations: 0
% Current number of rules: 1211
% New rule produced :
% [2645]
% t(eta(A),quotient(eta(quotient(quotient(quotient(j(A),j(j(A))),eta(A)),j(A))),
% eta(A))) ->
% quotient(eta(quotient(quotient(quotient(j(A),j(j(A))),eta(A)),j(A))),eta(A))
% Current number of equations to process: 874
% Current number of ordered equations: 0
% Current number of rules: 1212
% New rule produced :
% [2646]
% t(eta(A),quotient(eta(A),quotient(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)),eta(A)))) ->
% quotient(eta(A),quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A)))
% Current number of equations to process: 873
% Current number of ordered equations: 0
% Current number of rules: 1213
% New rule produced :
% [2647]
% t(eta(A),quotient(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A)),eta(A))) ->
% quotient(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),eta(A)),
% eta(A))
% Current number of equations to process: 872
% Current number of ordered equations: 0
% Current number of rules: 1214
% New rule produced :
% [2648]
% t(eta(A),quotient(eta(quotient(quotient(t(A,i(quotient(A,j(A)))),eta(A)),
% i(A))),eta(A))) ->
% quotient(eta(quotient(quotient(t(A,i(quotient(A,j(A)))),eta(A)),i(A))),
% eta(A))
% Current number of equations to process: 871
% Current number of ordered equations: 0
% Current number of rules: 1215
% New rule produced :
% [2649]
% t(eta(A),quotient(j(eta(A)),quotient(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)),eta(A)))) ->
% quotient(j(eta(A)),quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A)))
% Current number of equations to process: 870
% Current number of ordered equations: 0
% Current number of rules: 1216
% New rule produced :
% [2650]
% t(eta(A),difference(j(eta(A)),quotient(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)),eta(A)))) ->
% difference(j(eta(A)),quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A)))
% Current number of equations to process: 869
% Current number of ordered equations: 0
% Current number of rules: 1217
% New rule produced :
% [2651]
% quotient(quotient(j(eta(A)),j(j(j(A)))),t(t(j(eta(A)),quotient(j(eta(A)),
% j(A))),j(eta(A)))) ->
% t(t(t(j(eta(A)),quotient(j(eta(A)),j(A))),j(eta(A))),t(j(eta(A)),quotient(
% j(eta(A)),
% j(A))))
% Current number of equations to process: 868
% Current number of ordered equations: 0
% Current number of rules: 1218
% New rule produced :
% [2652]
% quotient(quotient(t(j(eta(A)),quotient(j(eta(A)),B)),quotient(eta(A),
% t(j(eta(A)),quotient(
% j(eta(A)),B)))),
% quotient(j(eta(A)),quotient(B,j(eta(A))))) ->
% t(j(eta(A)),quotient(j(eta(A)),B))
% Current number of equations to process: 867
% Current number of ordered equations: 0
% Current number of rules: 1219
% New rule produced :
% [2653]
% quotient(quotient(i(A),i(t(A,i(quotient(A,j(A)))))),t(t(i(A),t(A,i(quotient(A,
% j(A))))),
% i(A))) ->
% t(t(t(i(A),t(A,i(quotient(A,j(A))))),i(A)),t(i(A),t(A,i(quotient(A,j(A))))))
% Current number of equations to process: 866
% Current number of ordered equations: 0
% Current number of rules: 1220
% New rule produced :
% [2654]
% quotient(quotient(j(eta(A)),j(j(j(j(A))))),t(t(j(eta(A)),j(j(j(j(j(A)))))),
% j(eta(A)))) ->
% t(t(t(j(eta(A)),j(j(j(j(j(A)))))),j(eta(A))),t(j(eta(A)),j(j(j(j(j(A)))))))
% Current number of equations to process: 865
% Current number of ordered equations: 0
% Current number of rules: 1221
% New rule produced :
% [2655]
% quotient(quotient(eta(A),quotient(j(eta(A)),quotient(B,j(eta(A))))),t(
% eta(A),
% quotient(
% eta(A),
% t(
% j(
% eta(A)),
% quotient(
% j(
% eta(A)),B)))))
% -> t(eta(A),t(quotient(eta(A),t(j(eta(A)),quotient(j(eta(A)),B))),eta(A)))
% Current number of equations to process: 864
% Current number of ordered equations: 0
% Current number of rules: 1222
% New rule produced :
% [2656]
% quotient(t(t(t(quotient(eta(A),B),B),quotient(eta(A),B)),t(quotient(eta(A),B),B)),
% quotient(eta(A),quotient(t(t(quotient(eta(A),B),B),quotient(eta(A),B)),
% j(eta(A))))) -> eta(A)
% Current number of equations to process: 863
% Current number of ordered equations: 0
% Current number of rules: 1223
% New rule produced :
% [2657]
% quotient(quotient(quotient(eta(A),B),quotient(t(eta(A),quotient(eta(A),
% quotient(B,j(eta(A))))),
% quotient(eta(A),B))),t(eta(A),t(
% quotient(
% eta(A),
% quotient(B,
% j(
% eta(A)))),
% eta(A))))
% -> quotient(eta(A),B)
% Current number of equations to process: 862
% Current number of ordered equations: 0
% Current number of rules: 1224
% New rule produced :
% [2658]
% quotient(t(quotient(A,j(eta(B))),j(eta(B))),t(A,quotient(A,quotient(quotient(A,
% j(
% eta(B))),
% quotient(eta(B),
% quotient(A,
% j(eta(B)))))))) ->
% t(t(A,quotient(A,quotient(quotient(A,j(eta(B))),quotient(eta(B),quotient(A,
% j(eta(B))))))),A)
% Current number of equations to process: 861
% Current number of ordered equations: 0
% Current number of rules: 1225
% New rule produced :
% [2659]
% quotient(quotient(quotient(A,j(eta(B))),quotient(eta(B),quotient(A,j(eta(B))))),
% t(t(quotient(A,j(eta(B))),A),quotient(A,j(eta(B))))) ->
% t(t(t(quotient(A,j(eta(B))),A),quotient(A,j(eta(B)))),t(quotient(A,j(eta(B))),A))
% Current number of equations to process: 860
% Current number of ordered equations: 0
% Current number of rules: 1226
% New rule produced :
% [2660]
% quotient(quotient(t(t(A,quotient(A,B)),A),t(t(t(A,quotient(A,B)),A),t(A,
% quotient(A,B)))),
% quotient(t(t(A,quotient(A,B)),A),quotient(A,quotient(B,A)))) ->
% t(t(A,quotient(A,B)),A)
% Current number of equations to process: 859
% Current number of ordered equations: 0
% Current number of rules: 1227
% New rule produced :
% [2661]
% t(eta(A),t(t(quotient(eta(A),eta(quotient(eta(A),j(eta(A))))),eta(A)),
% quotient(eta(A),eta(quotient(eta(A),j(eta(A))))))) -> eta(A)
% Current number of equations to process: 858
% Current number of ordered equations: 0
% Current number of rules: 1228
% New rule produced :
% [2662]
% quotient(t(j(eta(A)),t(t(t(quotient(j(eta(A)),B),B),quotient(j(eta(A)),B)),
% t(quotient(j(eta(A)),B),B))),eta(A)) ->
% quotient(j(eta(A)),quotient(t(t(quotient(j(eta(A)),B),B),quotient(j(eta(A)),B)),
% j(eta(A))))
% Current number of equations to process: 857
% Current number of ordered equations: 0
% Current number of rules: 1229
% New rule produced :
% [2663]
% quotient(difference(i(quotient(A,j(eta(B)))),quotient(difference(i(A),
% quotient(quotient(A,
% j(eta(B))),
% quotient(eta(B),
% quotient(A,j(eta(B)))))),A)),
% quotient(A,j(eta(B)))) ->
% quotient(quotient(A,j(eta(B))),quotient(eta(B),quotient(A,j(eta(B)))))
% Current number of equations to process: 856
% Current number of ordered equations: 0
% Current number of rules: 1230
% New rule produced :
% [2664]
% t(quotient(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A)),eta(A)),eta(A)) -> eta(A)
% Current number of equations to process: 869
% Current number of ordered equations: 0
% Current number of rules: 1231
% New rule produced :
% [2665] t(A,quotient(A,j(quotient(i(A),eta(B))))) -> t(A,j(eta(B)))
% Rule
% [2465]
% t(eta(A),quotient(quotient(B,t(B,quotient(B,j(quotient(i(B),eta(A)))))),
% t(quotient(B,eta(A)),eta(A)))) -> t(eta(A),B) collapsed.
% Rule
% [2526]
% t(eta(A),quotient(quotient(quotient(B,eta(A)),t(quotient(B,eta(A)),eta(A))),
% t(B,quotient(B,j(quotient(i(B),eta(A))))))) ->
% t(eta(A),quotient(B,eta(A))) collapsed.
% Current number of equations to process: 877
% Current number of ordered equations: 0
% Current number of rules: 1230
% New rule produced :
% [2666] quotient(quotient(A,eta(B)),t(A,j(eta(B)))) -> t(t(A,j(eta(B))),A)
% Current number of equations to process: 876
% Current number of ordered equations: 0
% Current number of rules: 1231
% New rule produced :
% [2667]
% quotient(quotient(j(eta(A)),B),quotient(j(eta(A)),quotient(B,eta(A)))) ->
% j(eta(A))
% Current number of equations to process: 876
% Current number of ordered equations: 0
% Current number of rules: 1232
% New rule produced :
% [2668]
% quotient(quotient(quotient(A,eta(B)),quotient(j(eta(B)),quotient(A,eta(B)))),A)
% -> quotient(A,eta(B))
% Current number of equations to process: 875
% Current number of ordered equations: 0
% Current number of rules: 1233
% New rule produced :
% [2669]
% quotient(quotient(A,eta(B)),t(t(A,j(eta(B))),A)) ->
% t(t(t(A,j(eta(B))),A),t(A,j(eta(B))))
% Current number of equations to process: 874
% Current number of ordered equations: 0
% Current number of rules: 1234
% New rule produced :
% [2670]
% t(eta(A),quotient(quotient(B,t(B,j(eta(A)))),t(quotient(B,eta(A)),eta(A))))
% -> t(eta(A),B)
% Current number of equations to process: 873
% Current number of ordered equations: 0
% Current number of rules: 1235
% New rule produced :
% [2671]
% t(eta(A),quotient(quotient(quotient(B,eta(A)),t(quotient(B,eta(A)),eta(A))),
% t(B,j(eta(A))))) -> t(eta(A),quotient(B,eta(A)))
% Current number of equations to process: 873
% Current number of ordered equations: 0
% Current number of rules: 1236
% New rule produced :
% [2672]
% difference(j(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))),t(eta(A),B)) ->
% t(eta(A),difference(j(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))),B))
% Current number of equations to process: 872
% Current number of ordered equations: 0
% Current number of rules: 1237
% New rule produced :
% [2673]
% quotient(t(eta(A),B),j(quotient(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)),eta(A)))) ->
% t(eta(A),quotient(B,j(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A)))))
% Current number of equations to process: 870
% Current number of ordered equations: 1
% Current number of rules: 1238
% New rule produced :
% [2674]
% quotient(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),eta(A)),
% j(t(eta(A),B))) ->
% t(eta(A),quotient(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A)),j(B)))
% Current number of equations to process: 870
% Current number of ordered equations: 0
% Current number of rules: 1239
% New rule produced :
% [2675]
% quotient(j(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))),t(eta(A),B)) ->
% t(eta(A),quotient(j(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))),B))
% Current number of equations to process: 868
% Current number of ordered equations: 1
% Current number of rules: 1240
% New rule produced :
% [2676]
% quotient(j(t(eta(A),B)),quotient(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)),eta(A))) ->
% t(eta(A),quotient(j(B),quotient(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)),eta(A))))
% Current number of equations to process: 868
% Current number of ordered equations: 0
% Current number of rules: 1241
% New rule produced :
% [2677]
% difference(i(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))),t(eta(A),B)) ->
% t(eta(A),difference(i(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))),B))
% Current number of equations to process: 867
% Current number of ordered equations: 0
% Current number of rules: 1242
% New rule produced :
% [2678]
% quotient(t(eta(A),B),i(quotient(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)),eta(A)))) ->
% t(eta(A),quotient(B,i(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A)))))
% Current number of equations to process: 865
% Current number of ordered equations: 1
% Current number of rules: 1243
% New rule produced :
% [2679]
% quotient(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),eta(A)),
% i(t(eta(A),B))) ->
% t(eta(A),quotient(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A)),i(B)))
% Current number of equations to process: 865
% Current number of ordered equations: 0
% Current number of rules: 1244
% New rule produced :
% [2680]
% quotient(i(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))),t(eta(A),B)) ->
% t(eta(A),quotient(i(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))),B))
% Current number of equations to process: 863
% Current number of ordered equations: 1
% Current number of rules: 1245
% New rule produced :
% [2681]
% quotient(i(t(eta(A),B)),quotient(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)),eta(A))) ->
% t(eta(A),quotient(i(B),quotient(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)),eta(A))))
% Current number of equations to process: 863
% Current number of ordered equations: 0
% Current number of rules: 1246
% New rule produced :
% [2682]
% t(eta(A),quotient(eta(A),j(quotient(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)),eta(A))))) ->
% quotient(eta(A),j(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))))
% Current number of equations to process: 862
% Current number of ordered equations: 0
% Current number of rules: 1247
% New rule produced :
% [2683]
% t(eta(A),quotient(j(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))),eta(A))) ->
% quotient(j(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))),eta(A))
% Current number of equations to process: 861
% Current number of ordered equations: 0
% Current number of rules: 1248
% New rule produced :
% [2684]
% t(eta(A),quotient(i(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))),eta(A))) ->
% quotient(i(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))),eta(A))
% Current number of equations to process: 860
% Current number of ordered equations: 0
% Current number of rules: 1249
% New rule produced :
% [2685]
% quotient(quotient(A,eta(B)),t(t(t(A,j(eta(B))),A),t(A,j(eta(B))))) ->
% t(t(t(t(A,j(eta(B))),A),t(A,j(eta(B)))),t(t(A,j(eta(B))),A))
% Current number of equations to process: 859
% Current number of ordered equations: 0
% Current number of rules: 1250
% New rule produced : [2686] eta(quotient(eta(A),j(eta(A)))) -> one
% Rule [871] quotient(eta(quotient(eta(A),j(eta(A)))),eta(A)) -> j(eta(A))
% collapsed.
% Rule [2034] difference(j(eta(A)),eta(quotient(eta(A),j(eta(A))))) -> eta(A)
% collapsed.
% Rule [2035] quotient(eta(quotient(eta(A),j(eta(A)))),j(eta(A))) -> eta(A)
% collapsed.
% Rule
% [2036]
% quotient(quotient(eta(A),j(eta(A))),quotient(eta(A),eta(quotient(eta(A),
% j(eta(A)))))) ->
% eta(A) collapsed.
% Rule
% [2037]
% quotient(eta(quotient(eta(quotient(eta(A),j(eta(A)))),quotient(j(eta(A)),
% quotient(eta(A),
% j(eta(A)))))),eta(A))
% -> j(eta(A)) collapsed.
% Rule
% [2038]
% quotient(quotient(eta(quotient(eta(A),j(eta(A)))),quotient(eta(A),eta(
% quotient(
% eta(A),
% j(eta(A)))))),
% j(eta(A))) -> eta(quotient(eta(A),j(eta(A)))) collapsed.
% Rule
% [2271]
% quotient(eta(quotient(eta(A),j(eta(A)))),j(quotient(j(eta(quotient(eta(A),
% j(eta(A))))),
% eta(A)))) -> j(eta(A)) collapsed.
% Rule
% [2305]
% quotient(quotient(j(eta(A)),quotient(eta(quotient(eta(A),j(eta(A)))),
% quotient(eta(A),i(quotient(eta(A),j(eta(A))))))),
% eta(A)) -> eta(A) collapsed.
% Rule
% [2325]
% quotient(j(quotient(quotient(j(quotient(eta(A),j(eta(A)))),j(eta(A))),
% j(eta(quotient(eta(A),j(eta(A))))))),j(j(quotient(eta(A),j(eta(A))))))
% -> j(eta(A)) collapsed.
% Rule
% [2356]
% quotient(quotient(quotient(eta(A),j(eta(A))),quotient(quotient(eta(A),
% eta(quotient(eta(A),
% j(eta(A))))),
% quotient(eta(A),j(eta(A))))),
% eta(A)) -> quotient(eta(A),j(eta(A))) collapsed.
% Rule
% [2397]
% difference(j(t(eta(quotient(eta(A),j(eta(A)))),eta(A))),quotient(eta(
% quotient(
% eta(A),
% j(eta(A)))),
% quotient(eta(A),
% eta(quotient(
% eta(A),j(eta(A)))))))
% -> eta(quotient(eta(A),j(eta(A)))) collapsed.
% Rule
% [2506]
% quotient(quotient(eta(quotient(eta(A),j(eta(A)))),quotient(eta(A),eta(
% quotient(
% eta(A),
% j(eta(A)))))),
% j(t(eta(quotient(eta(A),j(eta(A)))),eta(A)))) ->
% t(j(t(eta(quotient(eta(A),j(eta(A)))),eta(A))),eta(quotient(eta(A),j(eta(A)))))
% collapsed.
% Rule
% [2541]
% quotient(j(eta(A)),quotient(eta(quotient(eta(A),j(eta(A)))),quotient(
% eta(A),j(
% eta(
% quotient(
% eta(A),
% j(
% eta(A))))))))
% -> eta(quotient(eta(A),j(eta(A)))) collapsed.
% Rule
% [2617]
% t(eta(A),t(quotient(eta(A),eta(quotient(eta(A),j(eta(A))))),eta(A))) ->
% eta(A) collapsed.
% Rule
% [2661]
% t(eta(A),t(t(quotient(eta(A),eta(quotient(eta(A),j(eta(A))))),eta(A)),
% quotient(eta(A),eta(quotient(eta(A),j(eta(A))))))) -> eta(A)
% collapsed.
% Current number of equations to process: 862
% Current number of ordered equations: 0
% Current number of rules: 1236
% Rule [2571]
% quotient(i(i(i(i(i(A))))),j(eta(A))) ->
% t(j(eta(A)),i(i(i(i(i(i(i(A)))))))) is composed into [2571]
% quotient(i(
% i(
% i(
% i(i(A))))),
% j(eta(A))) ->
% i(i(i(A)))
% New rule produced : [2687] t(j(eta(A)),i(i(i(i(i(i(i(A)))))))) -> i(i(i(A)))
% Rule
% [2594]
% quotient(i(i(i(i(i(A))))),t(j(eta(A)),i(i(i(i(i(i(i(A))))))))) ->
% t(t(j(eta(A)),i(i(i(i(i(i(i(A)))))))),j(eta(A))) collapsed.
% Rule
% [2604]
% quotient(quotient(j(eta(A)),t(j(eta(A)),i(i(i(i(i(i(i(A))))))))),quotient(
% j(eta(A)),
% i(i(
% i(
% i(i(A)))))))
% -> j(eta(A)) collapsed.
% Rule
% [2605]
% quotient(quotient(i(i(i(i(i(A))))),quotient(j(eta(A)),i(i(i(i(i(A))))))),
% t(j(eta(A)),i(i(i(i(i(i(i(A))))))))) -> i(i(i(i(i(A))))) collapsed.
% Current number of equations to process: 874
% Current number of ordered equations: 0
% Current number of rules: 1234
% New rule produced : [2688] t(i(i(i(A))),j(eta(A))) -> eta(A)
% Current number of equations to process: 873
% Current number of ordered equations: 0
% Current number of rules: 1235
% New rule produced :
% [2689] quotient(j(A),i(quotient(A,j(A)))) -> t(i(quotient(A,j(A))),A)
% Current number of equations to process: 884
% Current number of ordered equations: 0
% Current number of rules: 1236
% New rule produced :
% [2690] quotient(quotient(A,i(quotient(A,j(A)))),quotient(A,j(A))) -> A
% Current number of equations to process: 883
% Current number of ordered equations: 0
% Current number of rules: 1237
% New rule produced :
% [2691] quotient(quotient(j(A),quotient(A,j(A))),i(quotient(A,j(A)))) -> j(A)
% Current number of equations to process: 883
% Current number of ordered equations: 0
% Current number of rules: 1238
% Rule [2575]
% quotient(i(i(i(i(i(i(i(A))))))),j(eta(A))) ->
% t(j(eta(A)),i(i(i(i(i(i(i(i(i(A)))))))))) is composed into [2575]
% quotient(
% i(i(i(
% i(
% i(
% i(i(A))))))),
% j(eta(A))) ->
% i(i(i(
% i(i(A)))))
% New rule produced :
% [2692] t(j(eta(A)),i(i(i(i(i(i(i(i(i(A)))))))))) -> i(i(i(i(i(A)))))
% Current number of equations to process: 883
% Current number of ordered equations: 0
% Current number of rules: 1239
% New rule produced :
% [2693]
% quotient(eta(quotient(j(eta(A)),quotient(eta(A),j(eta(A))))),eta(A)) ->
% j(eta(A))
% Current number of equations to process: 882
% Current number of ordered equations: 0
% Current number of rules: 1240
% New rule produced :
% [2694]
% quotient(j(A),t(i(quotient(A,j(A))),A)) ->
% t(t(i(quotient(A,j(A))),A),i(quotient(A,j(A))))
% Current number of equations to process: 881
% Current number of ordered equations: 0
% Current number of rules: 1241
% New rule produced :
% [2695]
% quotient(quotient(j(eta(A)),j(quotient(eta(A),i(quotient(eta(A),j(eta(A))))))),
% eta(A)) -> eta(A)
% Current number of equations to process: 880
% Current number of ordered equations: 0
% Current number of rules: 1242
% New rule produced :
% [2696]
% quotient(quotient(j(eta(A)),i(i(i(A)))),quotient(j(eta(A)),i(i(i(i(i(A)))))))
% -> j(eta(A))
% Current number of equations to process: 880
% Current number of ordered equations: 0
% Current number of rules: 1243
% New rule produced :
% [2697]
% quotient(quotient(eta(A),j(eta(B))),quotient(eta(B),quotient(eta(A),j(eta(B)))))
% -> quotient(quotient(eta(A),j(eta(B))),j(eta(A)))
% Rule
% [2579]
% quotient(t(eta(A),quotient(quotient(eta(A),j(eta(B))),quotient(eta(B),
% quotient(eta(A),
% j(eta(B)))))),quotient(
% eta(A),
% j(
% eta(B))))
% -> eta(A) collapsed.
% Current number of equations to process: 879
% Current number of ordered equations: 0
% Current number of rules: 1243
% New rule produced :
% [2698]
% difference(t(quotient(A,eta(B)),A),quotient(quotient(A,eta(B)),quotient(
% j(eta(B)),
% quotient(A,
% eta(B))))) ->
% quotient(A,eta(B))
% Current number of equations to process: 878
% Current number of ordered equations: 0
% Current number of rules: 1244
% New rule produced :
% [2699]
% quotient(quotient(i(i(i(i(i(A))))),quotient(j(eta(A)),i(i(i(i(i(A))))))),
% i(i(i(A)))) -> i(i(i(i(i(A)))))
% Current number of equations to process: 877
% Current number of ordered equations: 0
% Current number of rules: 1245
% New rule produced :
% [2700]
% quotient(quotient(quotient(A,eta(B)),quotient(t(A,j(eta(B))),quotient(A,
% eta(B)))),
% t(t(A,j(eta(B))),A)) -> quotient(A,eta(B))
% Current number of equations to process: 876
% Current number of ordered equations: 0
% Current number of rules: 1246
% New rule produced :
% [2701]
% quotient(j(quotient(j(quotient(eta(A),j(eta(A)))),j(eta(A)))),j(j(quotient(
% eta(A),
% j(eta(A))))))
% -> j(eta(A))
% Current number of equations to process: 875
% Current number of ordered equations: 0
% Current number of rules: 1247
% New rule produced :
% [2702]
% quotient(quotient(eta(A),quotient(B,eta(A))),quotient(quotient(eta(A),B),
% quotient(eta(A),quotient(B,
% eta(A))))) ->
% quotient(quotient(eta(A),quotient(B,eta(A))),j(eta(A)))
% Rule
% [2360]
% quotient(t(eta(A),quotient(quotient(eta(A),quotient(B,eta(A))),quotient(
% quotient(
% eta(A),B),
% quotient(
% eta(A),
% quotient(B,
% eta(A)))))),
% quotient(eta(A),quotient(B,eta(A)))) -> eta(A) collapsed.
% Current number of equations to process: 874
% Current number of ordered equations: 0
% Current number of rules: 1247
% New rule produced :
% [2703]
% quotient(quotient(quotient(A,eta(B)),quotient(j(eta(B)),quotient(A,eta(B)))),
% t(quotient(A,eta(B)),A)) -> t(t(quotient(A,eta(B)),A),quotient(A,eta(B)))
% Current number of equations to process: 873
% Current number of ordered equations: 0
% Current number of rules: 1248
% New rule produced :
% [2704]
% quotient(quotient(j(eta(A)),B),t(j(eta(A)),quotient(j(eta(A)),quotient(B,
% eta(A))))) ->
% t(t(j(eta(A)),quotient(j(eta(A)),quotient(B,eta(A)))),j(eta(A)))
% Current number of equations to process: 872
% Current number of ordered equations: 0
% Current number of rules: 1249
% New rule produced :
% [2705]
% quotient(quotient(quotient(j(eta(A)),B),quotient(quotient(j(eta(A)),quotient(B,
% eta(A))),
% quotient(j(eta(A)),B))),j(eta(A))) ->
% quotient(j(eta(A)),B)
% Current number of equations to process: 871
% Current number of ordered equations: 0
% Current number of rules: 1250
% New rule produced :
% [2706]
% quotient(quotient(t(A,j(eta(B))),t(t(A,j(eta(B))),A)),quotient(t(A,j(eta(B))),
% quotient(A,eta(B)))) ->
% t(A,j(eta(B)))
% Current number of equations to process: 870
% Current number of ordered equations: 0
% Current number of rules: 1251
% New rule produced :
% [2707]
% t(j(eta(A)),quotient(j(eta(A)),quotient(eta(quotient(B,j(eta(A)))),quotient(
% eta(A),
% quotient(B,
% j(
% eta(A)))))))
% -> t(j(eta(A)),quotient(j(eta(A)),B))
% Current number of equations to process: 869
% Current number of ordered equations: 0
% Current number of rules: 1252
% New rule produced :
% [2708]
% difference(t(t(quotient(A,eta(B)),A),quotient(A,eta(B))),quotient(quotient(A,
% eta(B)),
% quotient(j(eta(B)),
% quotient(A,eta(B)))))
% -> t(quotient(A,eta(B)),A)
% Current number of equations to process: 868
% Current number of ordered equations: 0
% Current number of rules: 1253
% New rule produced :
% [2709]
% quotient(j(A),t(t(i(quotient(A,j(A))),A),i(quotient(A,j(A))))) ->
% t(t(t(i(quotient(A,j(A))),A),i(quotient(A,j(A)))),t(i(quotient(A,j(A))),A))
% Current number of equations to process: 867
% Current number of ordered equations: 0
% Current number of rules: 1254
% New rule produced :
% [2710]
% quotient(quotient(A,eta(B)),quotient(eta(quotient(A,j(quotient(i(A),eta(B))))),
% quotient(i(quotient(A,eta(B))),quotient(A,
% j(quotient(
% i(A),eta(B)))))))
% -> eta(B)
% Current number of equations to process: 866
% Current number of ordered equations: 0
% Current number of rules: 1255
% New rule produced :
% [2711] difference(t(A,quotient(A,j(A))),quotient(A,i(quotient(A,j(A))))) -> A
% Current number of equations to process: 872
% Current number of ordered equations: 0
% Current number of rules: 1256
% New rule produced : [2712] t(i(quotient(eta(A),j(eta(A)))),eta(A)) -> eta(A)
% Rule
% [2097]
% quotient(quotient(i(quotient(eta(A),j(eta(A)))),t(i(quotient(eta(A),j(eta(A)))),
% eta(A))),j(eta(A))) ->
% i(quotient(eta(A),j(eta(A)))) collapsed.
% Current number of equations to process: 879
% Current number of ordered equations: 0
% Current number of rules: 1256
% New rule produced :
% [2713] quotient(i(i(A)),i(t(A,i(quotient(A,j(A)))))) -> i(A)
% Rule
% [2337]
% quotient(quotient(i(t(A,i(quotient(A,j(A))))),quotient(i(i(A)),i(t(A,
% i(quotient(A,
% j(A))))))),A)
% -> i(t(A,i(quotient(A,j(A))))) collapsed.
% Current number of equations to process: 879
% Current number of ordered equations: 0
% Current number of rules: 1256
% New rule produced :
% [2714]
% quotient(quotient(i(t(A,i(quotient(A,j(A))))),i(A)),A) ->
% i(t(A,i(quotient(A,j(A)))))
% Current number of equations to process: 878
% Current number of ordered equations: 0
% Current number of rules: 1257
% New rule produced :
% [2715]
% difference(t(j(A),i(quotient(A,j(A)))),quotient(j(A),quotient(A,j(A)))) ->
% j(A)
% Current number of equations to process: 877
% Current number of ordered equations: 0
% Current number of rules: 1258
% New rule produced :
% [2716]
% quotient(quotient(A,i(quotient(A,j(A)))),t(A,quotient(A,j(A)))) ->
% t(t(A,quotient(A,j(A))),A)
% Current number of equations to process: 877
% Current number of ordered equations: 0
% Current number of rules: 1259
% New rule produced :
% [2717]
% difference(t(t(A,quotient(A,j(A))),A),quotient(A,i(quotient(A,j(A))))) ->
% t(A,quotient(A,j(A)))
% Current number of equations to process: 876
% Current number of ordered equations: 0
% Current number of rules: 1260
% New rule produced :
% [2718]
% quotient(t(j(eta(A)),i(quotient(eta(A),j(eta(A))))),eta(A)) ->
% quotient(j(eta(A)),quotient(eta(A),j(eta(A))))
% Current number of equations to process: 875
% Current number of ordered equations: 0
% Current number of rules: 1261
% New rule produced :
% [2719]
% quotient(quotient(j(A),quotient(A,j(A))),t(j(A),i(quotient(A,j(A))))) ->
% t(t(j(A),i(quotient(A,j(A)))),j(A))
% Current number of equations to process: 874
% Current number of ordered equations: 0
% Current number of rules: 1262
% New rule produced :
% [2720]
% difference(t(t(j(A),i(quotient(A,j(A)))),j(A)),quotient(j(A),quotient(A,j(A))))
% -> t(j(A),i(quotient(A,j(A))))
% Current number of equations to process: 873
% Current number of ordered equations: 0
% Current number of rules: 1263
% New rule produced :
% [2721]
% quotient(quotient(A,i(quotient(A,j(A)))),t(t(A,quotient(A,j(A))),A)) ->
% t(t(t(A,quotient(A,j(A))),A),t(A,quotient(A,j(A))))
% Current number of equations to process: 872
% Current number of ordered equations: 0
% Current number of rules: 1264
% New rule produced :
% [2722]
% quotient(quotient(quotient(A,i(quotient(A,j(A)))),quotient(quotient(A,j(A)),
% quotient(A,i(quotient(A,
% j(A)))))),A)
% -> quotient(A,i(quotient(A,j(A))))
% Current number of equations to process: 871
% Current number of ordered equations: 0
% Current number of rules: 1265
% New rule produced :
% [2723]
% quotient(quotient(quotient(j(A),quotient(A,j(A))),quotient(i(quotient(A,j(A))),
% quotient(j(A),quotient(A,
% j(A))))),
% j(A)) -> quotient(j(A),quotient(A,j(A)))
% Current number of equations to process: 870
% Current number of ordered equations: 0
% Current number of rules: 1266
% New rule produced :
% [2724]
% quotient(quotient(j(A),quotient(t(i(quotient(A,j(A))),A),j(A))),t(t(i(
% quotient(A,
% j(A))),A),
% i(quotient(A,
% j(A))))) ->
% j(A)
% Current number of equations to process: 869
% Current number of ordered equations: 0
% Current number of rules: 1267
% New rule produced :
% [2725]
% quotient(quotient(j(A),quotient(A,j(A))),t(t(j(A),i(quotient(A,j(A)))),j(A)))
% -> t(t(t(j(A),i(quotient(A,j(A)))),j(A)),t(j(A),i(quotient(A,j(A)))))
% Current number of equations to process: 868
% Current number of ordered equations: 0
% Current number of rules: 1268
% New rule produced : [2726] j(t(t(A,i(quotient(A,j(A)))),A)) -> i(A)
% Current number of equations to process: 871
% Current number of ordered equations: 0
% Current number of rules: 1269
% New rule produced :
% [2727]
% difference(t(i(quotient(A,j(A))),j(A)),quotient(i(quotient(A,j(A))),A)) ->
% i(quotient(A,j(A)))
% Current number of equations to process: 873
% Current number of ordered equations: 0
% Current number of rules: 1270
% New rule produced :
% [2728]
% quotient(difference(A,quotient(difference(i(i(A)),i(quotient(A,j(A)))),i(A))),
% j(A)) -> i(quotient(A,j(A)))
% Current number of equations to process: 872
% Current number of ordered equations: 0
% Current number of rules: 1271
% New rule produced :
% [2729]
% quotient(i(quotient(A,j(A))),j(j(j(j(j(j(j(A)))))))) ->
% j(j(j(j(j(j(j(j(j(A)))))))))
% Current number of equations to process: 872
% Current number of ordered equations: 0
% Current number of rules: 1272
% New rule produced :
% [2730]
% quotient(quotient(i(quotient(A,j(A))),A),t(i(quotient(A,j(A))),j(A))) ->
% t(t(i(quotient(A,j(A))),j(A)),i(quotient(A,j(A))))
% Current number of equations to process: 871
% Current number of ordered equations: 0
% Current number of rules: 1273
% New rule produced :
% [2731]
% difference(t(t(i(quotient(A,j(A))),j(A)),i(quotient(A,j(A)))),quotient(
% i(quotient(A,
% j(A))),A)) ->
% t(i(quotient(A,j(A))),j(A))
% Current number of equations to process: 870
% Current number of ordered equations: 0
% Current number of rules: 1274
% New rule produced :
% [2732]
% quotient(quotient(quotient(i(quotient(A,j(A))),A),quotient(j(A),quotient(
% i(quotient(A,
% j(A))),A))),
% i(quotient(A,j(A)))) -> quotient(i(quotient(A,j(A))),A)
% Current number of equations to process: 869
% Current number of ordered equations: 0
% Current number of rules: 1275
% New rule produced :
% [2733]
% quotient(eta(A),quotient(j(j(j(A))),i(quotient(A,j(A))))) -> j(j(j(A)))
% Current number of equations to process: 870
% Current number of ordered equations: 0
% Current number of rules: 1276
% New rule produced : [2734] quotient(eta(A),t(i(quotient(A,j(A))),A)) -> j(A)
% Current number of equations to process: 871
% Current number of ordered equations: 0
% Current number of rules: 1277
% New rule produced :
% [2735]
% quotient(quotient(i(quotient(A,j(A))),t(i(quotient(A,j(A))),A)),j(j(j(A))))
% -> i(quotient(A,j(A)))
% Current number of equations to process: 870
% Current number of ordered equations: 0
% Current number of rules: 1278
% New rule produced :
% [2736]
% quotient(i(quotient(A,j(A))),j(j(j(j(j(j(j(j(j(A)))))))))) ->
% j(j(j(j(j(j(j(j(j(j(j(A)))))))))))
% Current number of equations to process: 870
% Current number of ordered equations: 0
% Current number of rules: 1279
% New rule produced :
% [2737]
% quotient(quotient(i(quotient(A,j(A))),quotient(j(j(j(A))),i(quotient(A,j(A))))),
% j(j(j(j(j(A)))))) -> i(quotient(A,j(A)))
% Current number of equations to process: 869
% Current number of ordered equations: 0
% Current number of rules: 1280
% New rule produced :
% [2738]
% quotient(quotient(eta(A),quotient(t(i(quotient(A,j(A))),A),eta(A))),j(A)) ->
% eta(A)
% Current number of equations to process: 875
% Current number of ordered equations: 0
% Current number of rules: 1281
% New rule produced :
% [2739]
% quotient(eta(A),quotient(j(j(j(j(j(A))))),i(quotient(A,j(A))))) ->
% j(j(j(j(j(A)))))
% Current number of equations to process: 879
% Current number of ordered equations: 0
% Current number of rules: 1282
% New rule produced :
% [2740]
% quotient(eta(A),t(j(A),t(i(quotient(A,j(A))),A))) ->
% t(t(j(A),t(i(quotient(A,j(A))),A)),j(A))
% Current number of equations to process: 879
% Current number of ordered equations: 0
% Current number of rules: 1283
% New rule produced :
% [2741]
% quotient(difference(j(A),quotient(difference(i(A),i(quotient(j(A),j(j(A))))),A)),
% j(j(A))) -> i(quotient(j(A),j(j(A))))
% Current number of equations to process: 878
% Current number of ordered equations: 0
% Current number of rules: 1284
% New rule produced :
% [2742]
% difference(t(i(quotient(A,j(A))),j(j(j(A)))),quotient(i(quotient(A,j(A))),
% t(i(quotient(A,j(A))),A))) ->
% i(quotient(A,j(A)))
% Current number of equations to process: 877
% Current number of ordered equations: 0
% Current number of rules: 1285
% New rule produced :
% [2743]
% quotient(quotient(i(quotient(A,j(A))),quotient(j(j(j(j(j(A))))),i(quotient(A,
% j(A))))),
% j(j(j(j(j(j(j(A)))))))) -> i(quotient(A,j(A)))
% Current number of equations to process: 876
% Current number of ordered equations: 0
% Current number of rules: 1286
% New rule produced :
% [2744]
% quotient(quotient(i(quotient(A,j(A))),t(i(quotient(A,j(A))),A)),t(i(quotient(A,
% j(A))),
% j(j(j(A)))))
% -> t(t(i(quotient(A,j(A))),j(j(j(A)))),i(quotient(A,j(A))))
% Current number of equations to process: 875
% Current number of ordered equations: 0
% Current number of rules: 1287
% New rule produced :
% [2745]
% quotient(eta(A),t(t(j(A),t(i(quotient(A,j(A))),A)),j(A))) ->
% t(t(t(j(A),t(i(quotient(A,j(A))),A)),j(A)),t(j(A),t(i(quotient(A,j(A))),A)))
% Current number of equations to process: 874
% Current number of ordered equations: 0
% Current number of rules: 1288
% New rule produced :
% [2746] difference(i(i(A)),t(i(A),i(t(A,i(quotient(A,j(A))))))) -> i(i(A))
% Current number of equations to process: 877
% Current number of ordered equations: 0
% Current number of rules: 1289
% New rule produced :
% [2747]
% quotient(eta(A),quotient(j(j(j(j(A)))),i(quotient(j(A),j(j(A)))))) ->
% j(j(j(j(A))))
% Current number of equations to process: 876
% Current number of ordered equations: 0
% Current number of rules: 1290
% New rule produced :
% [2748] quotient(t(i(A),i(t(A,i(quotient(A,j(A)))))),i(i(A))) -> i(i(A))
% Current number of equations to process: 878
% Current number of ordered equations: 0
% Current number of rules: 1291
% New rule produced :
% [2749]
% quotient(difference(i(i(A)),quotient(difference(i(i(A)),t(A,i(quotient(A,
% j(A))))),
% i(A))),i(A)) -> t(A,i(quotient(A,j(A))))
% Current number of equations to process: 878
% Current number of ordered equations: 0
% Current number of rules: 1292
% New rule produced : [2750] i(t(i(A),t(t(A,i(quotient(A,j(A)))),A))) -> i(A)
% Current number of equations to process: 882
% Current number of ordered equations: 0
% Current number of rules: 1293
% New rule produced :
% [2751] t(j(A),quotient(eta(A),j(eta(A)))) -> i(quotient(eta(A),j(eta(A))))
% Current number of equations to process: 886
% Current number of ordered equations: 0
% Current number of rules: 1294
% New rule produced :
% [2752]
% t(j(j(j(A))),quotient(eta(A),j(eta(A)))) -> i(quotient(eta(A),j(eta(A))))
% Current number of equations to process: 886
% Current number of ordered equations: 0
% Current number of rules: 1295
% New rule produced :
% [2753]
% t(t(i(A),t(t(A,i(quotient(A,j(A)))),A)),i(A)) ->
% j(t(i(A),t(t(A,i(quotient(A,j(A)))),A)))
% Current number of equations to process: 885
% Current number of ordered equations: 0
% Current number of rules: 1296
% New rule produced :
% [2754]
% difference(t(t(A,i(quotient(A,j(A)))),i(A)),quotient(t(A,i(quotient(A,j(A)))),
% t(t(A,i(quotient(A,j(A)))),A)))
% -> t(A,i(quotient(A,j(A))))
% Current number of equations to process: 883
% Current number of ordered equations: 0
% Current number of rules: 1297
% New rule produced :
% [2755]
% quotient(quotient(quotient(A,eta(B)),quotient(j(eta(B)),quotient(A,eta(B)))),
% t(t(quotient(A,eta(B)),A),quotient(A,eta(B)))) ->
% t(t(t(quotient(A,eta(B)),A),quotient(A,eta(B))),t(quotient(A,eta(B)),A))
% Current number of equations to process: 882
% Current number of ordered equations: 0
% Current number of rules: 1298
% New rule produced :
% [2756]
% quotient(quotient(i(quotient(A,j(A))),A),t(t(i(quotient(A,j(A))),j(A)),
% i(quotient(A,j(A))))) ->
% t(t(t(i(quotient(A,j(A))),j(A)),i(quotient(A,j(A)))),t(i(quotient(A,j(A))),
% j(A)))
% Current number of equations to process: 881
% Current number of ordered equations: 0
% Current number of rules: 1299
% New rule produced :
% [2757]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% j(quotient(
% i(B),
% eta(A))),
% quotient(
% eta(B),
% quotient(
% quotient(
% i(B),eta(A)),B))),
% eta(A)))) -> B
% Current number of equations to process: 887
% Current number of ordered equations: 0
% Current number of rules: 1300
% New rule produced :
% [2758]
% quotient(quotient(quotient(eta(A),quotient(i(i(quotient(j(A),j(j(A))))),i(A))),A),
% j(j(A))) ->
% quotient(i(quotient(j(A),j(j(A)))),quotient(eta(A),quotient(i(i(quotient(
% j(A),
% j(j(A))))),A)))
% Current number of equations to process: 886
% Current number of ordered equations: 0
% Current number of rules: 1301
% New rule produced :
% [2759]
% difference(t(t(i(quotient(A,j(A))),j(j(j(A)))),i(quotient(A,j(A)))),quotient(
% i(
% quotient(A,
% j(A))),
% t(
% i(
% quotient(A,
% j(A))),A)))
% -> t(i(quotient(A,j(A))),j(j(j(A))))
% Current number of equations to process: 885
% Current number of ordered equations: 0
% Current number of rules: 1302
% New rule produced :
% [2760]
% quotient(quotient(t(i(quotient(A,j(A))),A),t(t(i(quotient(A,j(A))),A),
% i(quotient(A,j(A))))),quotient(
% t(i(
% quotient(A,
% j(A))),A),
% j(A))) ->
% t(i(quotient(A,j(A))),A)
% Current number of equations to process: 884
% Current number of ordered equations: 0
% Current number of rules: 1303
% New rule produced :
% [2761]
% quotient(quotient(t(A,i(quotient(A,j(A)))),t(t(A,i(quotient(A,j(A)))),A)),
% t(t(A,i(quotient(A,j(A)))),i(A))) ->
% t(t(t(A,i(quotient(A,j(A)))),i(A)),t(A,i(quotient(A,j(A)))))
% Current number of equations to process: 882
% Current number of ordered equations: 0
% Current number of rules: 1304
% New rule produced :
% [2762]
% quotient(quotient(j(j(A)),quotient(quotient(difference(B,i(i(A))),A),j(j(A)))),
% i(quotient(j(A),j(j(A))))) ->
% t(i(quotient(j(A),j(j(A)))),quotient(quotient(quotient(eta(B),quotient(
% i(i(quotient(
% j(A),
% j(j(A))))),B)),A),
% j(j(A))))
% Current number of equations to process: 881
% Current number of ordered equations: 0
% Current number of rules: 1305
% New rule produced :
% [2763]
% quotient(quotient(j(j(A)),quotient(quotient(difference(B,i(i(A))),A),j(j(A)))),
% quotient(quotient(quotient(eta(B),quotient(i(i(quotient(j(A),j(j(A))))),B)),A),
% j(j(A)))) -> i(quotient(j(A),j(j(A))))
% Current number of equations to process: 880
% Current number of ordered equations: 0
% Current number of rules: 1306
% New rule produced :
% [2764]
% difference(i(quotient(j(j(A)),j(j(j(A))))),quotient(j(j(j(A))),quotient(
% quotient(
% difference(B,
% i(A)),
% j(A)),
% j(j(j(A))))))
% ->
% quotient(quotient(quotient(eta(B),quotient(i(i(quotient(j(j(A)),j(j(j(A)))))),B)),
% j(A)),j(j(j(A))))
% Current number of equations to process: 879
% Current number of ordered equations: 0
% Current number of rules: 1307
% New rule produced :
% [2765]
% quotient(quotient(j(A),quotient(eta(B),i(A))),t(t(j(A),quotient(j(A),
% quotient(eta(B),
% j(eta(A))))),j(A))) ->
% t(t(t(j(A),quotient(j(A),quotient(eta(B),j(eta(A))))),j(A)),t(j(A),quotient(
% j(A),
% quotient(
% eta(B),
% j(
% eta(A))))))
% Current number of equations to process: 878
% Current number of ordered equations: 0
% Current number of rules: 1308
% New rule produced :
% [2766]
% quotient(quotient(j(eta(A)),B),t(t(j(eta(A)),quotient(j(eta(A)),quotient(B,
% eta(A)))),
% j(eta(A)))) ->
% t(t(t(j(eta(A)),quotient(j(eta(A)),quotient(B,eta(A)))),j(eta(A))),t(
% j(
% eta(A)),
% quotient(
% j(
% eta(A)),
% quotient(B,
% eta(A)))))
% Current number of equations to process: 877
% Current number of ordered equations: 0
% Current number of rules: 1309
% New rule produced :
% [2767]
% quotient(quotient(quotient(quotient(A,eta(B)),quotient(j(eta(B)),quotient(A,
% eta(B)))),
% quotient(A,quotient(quotient(A,eta(B)),quotient(j(eta(B)),quotient(A,
% eta(B)))))),
% quotient(A,eta(B))) ->
% quotient(quotient(A,eta(B)),quotient(j(eta(B)),quotient(A,eta(B))))
% Current number of equations to process: 875
% Current number of ordered equations: 0
% Current number of rules: 1310
% New rule produced :
% [2768]
% quotient(quotient(i(A),quotient(eta(difference(j(j(A)),i(A))),quotient(
% i(i(A)),
% difference(
% j(j(A)),
% i(A))))),
% eta(A)) ->
% quotient(i(i(i(A))),quotient(eta(t(i(A),i(t(A,i(quotient(A,j(A))))))),
% quotient(i(i(i(i(A)))),i(t(i(A),i(t(A,i(quotient(A,j(A))))))))))
% Current number of equations to process: 874
% Current number of ordered equations: 0
% Current number of rules: 1311
% New rule produced :
% [2769]
% quotient(difference(A,j(j(B))),eta(B)) <->
% quotient(j(quotient(i(A),eta(B))),quotient(eta(difference(i(i(B)),j(quotient(
% i(A),
% eta(B))))),
% quotient(quotient(i(A),eta(B)),difference(
% i(i(B)),
% j(quotient(
% i(A),
% eta(B)))))))
% Current number of equations to process: 873
% Current number of ordered equations: 1
% Current number of rules: 1312
% New rule produced :
% [2770]
% quotient(j(quotient(i(A),eta(B))),quotient(eta(difference(i(i(B)),j(quotient(
% i(A),
% eta(B))))),
% quotient(quotient(i(A),eta(B)),difference(
% i(i(B)),
% j(quotient(
% i(A),
% eta(B)))))))
% <-> quotient(difference(A,j(j(B))),eta(B))
% Current number of equations to process: 873
% Current number of ordered equations: 0
% Current number of rules: 1313
% New rule produced :
% [2771]
% t(eta(A),quotient(quotient(A,quotient(eta(quotient(j(eta(A)),quotient(
% eta(quotient(A,
% quotient(
% eta(A),
% i(t(
% i(A),
% i(
% t(A,
% i(
% quotient(A,
% j(A)))))))))),
% quotient(
% eta(A),quotient(A,
% quotient(
% eta(A),
% i(
% t(
% i(A),
% i(
% t(A,
% i(
% quotient(A,
% j(A))))))))))))),
% quotient(i(A),quotient(j(eta(A)),quotient(
% eta(quotient(A,
% quotient(
% eta(A),
% i(t(
% i(A),
% i(
% t(A,
% i(
% quotient(A,
% j(A)))))))))),
% quotient(
% eta(A),
% quotient(A,
% quotient(
% eta(A),
% i(t(i(A),
% i(t(A,
% i(quotient(A,
% j(A))))))))))))))),
% j(A))) -> quotient(eta(A),j(eta(A)))
% Current number of equations to process: 872
% Current number of ordered equations: 0
% Current number of rules: 1314
% New rule produced :
% [2772]
% quotient(difference(i(quotient(A,quotient(eta(B),quotient(i(A),B)))),
% quotient(eta(A),i(quotient(A,quotient(eta(B),quotient(i(A),B)))))),
% quotient(A,quotient(eta(B),quotient(i(A),B)))) ->
% difference(A,quotient(eta(quotient(A,B)),quotient(j(eta(A)),quotient(A,B))))
% Current number of equations to process: 871
% Current number of ordered equations: 0
% Current number of rules: 1315
% New rule produced :
% [2773]
% quotient(quotient(quotient(eta(A),j(eta(B))),quotient(t(quotient(eta(A),
% i(i(B))),B),quotient(
% eta(A),
% j(
% eta(B))))),
% t(t(quotient(eta(A),i(i(B))),B),quotient(eta(A),i(i(B))))) ->
% quotient(eta(A),j(eta(B)))
% Current number of equations to process: 870
% Current number of ordered equations: 0
% Current number of rules: 1316
% New rule produced :
% [2774]
% difference(t(t(quotient(j(j(A)),i(A)),j(j(j(j(A))))),quotient(j(j(A)),i(A))),
% quotient(quotient(j(j(A)),i(A)),quotient(A,quotient(j(j(A)),i(A))))) ->
% t(quotient(j(j(A)),i(A)),j(j(j(j(A)))))
% Current number of equations to process: 869
% Current number of ordered equations: 0
% Current number of rules: 1317
% New rule produced :
% [2775]
% difference(t(t(quotient(A,j(eta(B))),t(t(A,eta(B)),A)),quotient(A,j(eta(B)))),
% quotient(quotient(A,j(eta(B))),quotient(t(A,eta(B)),quotient(A,j(eta(B))))))
% -> t(quotient(A,j(eta(B))),t(t(A,eta(B)),A))
% Current number of equations to process: 868
% Current number of ordered equations: 0
% Current number of rules: 1318
% New rule produced :
% [2776]
% quotient(quotient(quotient(eta(A),B),quotient(quotient(eta(A),quotient(B,
% j(eta(A)))),
% quotient(eta(A),B))),t(t(quotient(
% eta(A),B),
% eta(A)),quotient(
% eta(A),B)))
% ->
% t(t(t(quotient(eta(A),B),eta(A)),quotient(eta(A),B)),t(quotient(eta(A),B),
% eta(A)))
% Current number of equations to process: 867
% Current number of ordered equations: 0
% Current number of rules: 1319
% New rule produced :
% [2777]
% difference(t(t(t(A,i(quotient(A,j(A)))),i(A)),t(A,i(quotient(A,j(A))))),
% quotient(t(A,i(quotient(A,j(A)))),t(t(A,i(quotient(A,j(A)))),A))) ->
% t(t(A,i(quotient(A,j(A)))),i(A))
% Current number of equations to process: 866
% Current number of ordered equations: 0
% Current number of rules: 1320
% New rule produced :
% [2778]
% difference(i(quotient(j(A),j(j(A)))),quotient(j(j(A)),quotient(j(A),j(j(A)))))
% ->
% quotient(quotient(eta(t(i(i(A)),i(quotient(j(A),j(j(A)))))),quotient(
% j(eta(A)),
% t(i(i(A)),
% i(quotient(
% j(A),j(j(A))))))),
% j(j(A)))
% Current number of equations to process: 865
% Current number of ordered equations: 0
% Current number of rules: 1321
% New rule produced :
% [2779]
% difference(difference(quotient(eta(A),quotient(i(B),A)),C),difference(B,
% quotient(quotient(
% i(
% difference(A,C)),
% quotient(
% eta(
% difference(C,
% i(
% difference(A,C)))),
% quotient(
% i(
% i(
% difference(A,C))),
% difference(C,
% i(
% difference(A,C)))))),
% difference(A,C))))
% -> A
% Current number of equations to process: 864
% Current number of ordered equations: 0
% Current number of rules: 1322
% New rule produced :
% [2780]
% difference(t(t(t(difference(A,B),B),difference(A,B)),t(difference(A,B),B)),
% quotient(difference(B,A),quotient(eta(difference(B,difference(B,A))),
% quotient(i(difference(B,A)),difference(B,difference(B,A))))))
% -> t(t(difference(A,B),B),difference(A,B))
% Current number of equations to process: 863
% Current number of ordered equations: 0
% Current number of rules: 1323
% New rule produced :
% [2781]
% quotient(quotient(quotient(A,quotient(B,A)),quotient(quotient(A,B),quotient(A,
% quotient(B,A)))),
% quotient(eta(A),quotient(i(quotient(quotient(A,quotient(B,A)),quotient(
% quotient(A,B),
% quotient(A,
% quotient(B,A))))),A)))
% -> quotient(quotient(A,B),quotient(A,quotient(B,A)))
% Current number of equations to process: 861
% Current number of ordered equations: 0
% Current number of rules: 1324
% New rule produced :
% [2782]
% quotient(t(A,quotient(A,quotient(eta(quotient(eta(B),quotient(i(A),B))),
% quotient(i(A),quotient(eta(B),quotient(i(A),B)))))),
% quotient(quotient(A,quotient(eta(B),quotient(i(A),B))),quotient(A,B))) ->
% quotient(A,quotient(eta(B),quotient(i(A),B)))
% Current number of equations to process: 860
% Current number of ordered equations: 0
% Current number of rules: 1325
% New rule produced :
% [2783]
% quotient(quotient(i(i(A)),quotient(t(quotient(eta(A),i(quotient(A,j(A)))),
% j(A)),i(i(A)))),t(t(quotient(eta(A),
% i(quotient(A,j(A)))),
% j(A)),quotient(eta(A),
% i(quotient(A,j(A))))))
% -> i(i(A))
% Current number of equations to process: 859
% Current number of ordered equations: 0
% Current number of rules: 1326
% New rule produced :
% [2784]
% difference(t(t(t(quotient(A,B),B),quotient(t(quotient(A,B),B),A)),t(quotient(A,B),B)),
% quotient(t(quotient(A,B),B),t(t(quotient(A,B),B),quotient(A,B)))) ->
% t(t(quotient(A,B),B),quotient(t(quotient(A,B),B),A))
% Current number of equations to process: 858
% Current number of ordered equations: 0
% Current number of rules: 1327
% New rule produced :
% [2785]
% difference(t(t(A,t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B))),A),
% quotient(A,quotient(t(t(quotient(A,B),B),quotient(A,B)),A))) ->
% t(A,t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B)))
% Current number of equations to process: 857
% Current number of ordered equations: 0
% Current number of rules: 1328
% New rule produced :
% [2786]
% difference(t(quotient(A,quotient(B,A)),t(t(t(A,quotient(A,B)),A),t(A,
% quotient(A,B)))),
% quotient(quotient(A,quotient(B,A)),quotient(t(t(A,quotient(A,B)),A),quotient(A,
% quotient(B,A)))))
% -> quotient(A,quotient(B,A))
% Current number of equations to process: 856
% Current number of ordered equations: 0
% Current number of rules: 1329
% New rule produced :
% [2787]
% quotient(i(i(i(i(i(i(A)))))),quotient(eta(t(quotient(eta(A),quotient(
% j(eta(A)),
% i(i(i(i(i(A))))))),
% quotient(j(eta(A)),i(i(i(i(i(A)))))))),
% quotient(i(i(i(i(i(i(i(A))))))),t(quotient(
% eta(A),
% quotient(
% j(eta(A)),
% i(i(i(i(i(A))))))),
% quotient(
% j(eta(A)),
% i(i(i(i(i(A))))))))))
% -> i(i(i(i(i(A)))))
% Current number of equations to process: 855
% Current number of ordered equations: 0
% Current number of rules: 1330
% Rule [2295]
% quotient(difference(j(eta(B)),A),quotient(eta(difference(j(eta(B)),
% difference(j(eta(B)),A))),
% quotient(i(difference(j(eta(B)),A)),
% difference(j(eta(B)),difference(
% j(eta(B)),A)))))
% <-> quotient(difference(A,j(eta(B))),eta(B)) is composed into [2295]
% quotient(
% difference(
% j(
% eta(B)),A),
% quotient(
% eta(
% difference(
% j(
% eta(B)),
% difference(
% j(
% eta(B)),A))),
% quotient(
% i(
% difference(
% j(
% eta(B)),A)),
% difference(
% j(
% eta(B)),
% difference(
% j(
% eta(B)),A)))))
% ->
% quotient(
% quotient(
% eta(
% eta(B)),
% quotient(
% i(A),
% eta(B))),
% quotient(
% eta(
% quotient(
% quotient(
% eta(
% quotient(
% i(
% eta(B)),
% quotient(
% eta(
% quotient(
% eta(B),
% j(
% eta(B)))),
% quotient(
% i(
% i(
% eta(B))),
% i(
% quotient(
% eta(B),
% j(
% eta(B)))))))),
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% i(
% i(
% eta(B))),A))),
% quotient(
% i(
% eta(B)),
% quotient(
% eta(
% quotient(
% eta(B),
% j(
% eta(B)))),
% quotient(
% i(
% i(
% eta(B))),
% i(
% quotient(
% eta(B),
% j(
% eta(B))))))))),
% i(
% eta(B)))),
% quotient(
% i(
% quotient(
% eta(
% eta(B)),
% quotient(
% i(A),
% eta(B)))),
% quotient(
% quotient(
% eta(
% quotient(
% i(
% eta(B)),
% quotient(
% eta(
% quotient(
% eta(B),
% j(
% eta(B)))),
% quotient(
% i(
% i(
% eta(B))),
% i(
% quotient(
% eta(B),
% j(
% eta(B)))))))),
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% i(
% i(
% eta(B))),A))),
% quotient(
% i(
% eta(B)),
% quotient(
% eta(
% quotient(
% eta(B),
% j(
% eta(B)))),
% quotient(
% i(
% i(
% eta(B))),
% i(
% quotient(
% eta(B),
% j(
% eta(B))))))))),
% i(
% eta(B))))))
% New rule produced :
% [2788]
% quotient(difference(A,j(B)),B) ->
% quotient(quotient(eta(B),quotient(i(A),B)),quotient(eta(quotient(quotient(
% eta(
% quotient(
% i(B),
% quotient(
% eta(
% quotient(B,
% j(B))),
% quotient(
% i(i(B)),
% i(quotient(B,
% j(B))))))),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(
% i(B)),A))),
% quotient(
% i(B),
% quotient(
% eta(
% quotient(B,
% j(B))),
% quotient(
% i(i(B)),
% i(quotient(B,
% j(B)))))))),
% i(B))),quotient(
% i(quotient(
% eta(B),
% quotient(
% i(A),B))),
% quotient(
% quotient(
% eta(quotient(
% i(B),
% quotient(
% eta(
% quotient(B,
% j(B))),
% quotient(
% i(
% i(B)),
% i(
% quotient(B,
% j(B))))))),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(i(B)),A))),
% quotient(
% i(B),quotient(
% eta(
% quotient(B,
% j(B))),
% quotient(
% i(
% i(B)),
% i(
% quotient(B,
% j(B)))))))),
% i(B)))))
% Rule
% [2294]
% quotient(difference(A,j(eta(B))),eta(B)) <->
% quotient(difference(j(eta(B)),A),quotient(eta(difference(j(eta(B)),difference(
% j(
% eta(B)),A))),
% quotient(i(difference(j(eta(B)),A)),
% difference(j(eta(B)),difference(j(eta(B)),A)))))
% collapsed.
% Current number of equations to process: 854
% Current number of ordered equations: 0
% Current number of rules: 1330
% New rule produced :
% [2789]
% quotient(quotient(i(i(quotient(A,j(A)))),quotient(eta(difference(i(A),
% i(i(quotient(A,j(A)))))),
% quotient(i(i(i(quotient(A,j(A))))),
% difference(i(A),i(i(quotient(A,j(A)))))))),
% i(quotient(A,j(A)))) -> j(A)
% Current number of equations to process: 853
% Current number of ordered equations: 0
% Current number of rules: 1331
% New rule produced :
% [2790]
% quotient(quotient(A,j(eta(B))),t(t(t(t(A,eta(B)),A),t(A,eta(B))),t(t(A,
% eta(B)),A)))
% ->
% t(t(t(t(t(A,eta(B)),A),t(A,eta(B))),t(t(A,eta(B)),A)),t(t(t(A,eta(B)),A),
% t(A,eta(B))))
% Current number of equations to process: 852
% Current number of ordered equations: 0
% Current number of rules: 1332
% New rule produced :
% [2791]
% quotient(quotient(difference(A,eta(B)),quotient(t(i(quotient(eta(B),quotient(
% i(A),B))),B),
% difference(A,eta(B)))),t(t(i(quotient(
% eta(B),
% quotient(
% i(A),B))),B),
% i(quotient(
% eta(B),
% quotient(
% i(A),B)))))
% -> difference(A,eta(B))
% Current number of equations to process: 851
% Current number of ordered equations: 0
% Current number of rules: 1333
% New rule produced :
% [2792]
% difference(t(t(quotient(eta(A),j(eta(B))),quotient(eta(A),i(B))),quotient(
% eta(A),
% j(eta(B)))),
% quotient(quotient(eta(A),j(eta(B))),quotient(j(B),quotient(eta(A),j(eta(B))))))
% -> t(quotient(eta(A),j(eta(B))),quotient(eta(A),i(B)))
% Current number of equations to process: 850
% Current number of ordered equations: 0
% Current number of rules: 1334
% New rule produced :
% [2793]
% quotient(i(t(i(i(i(i(i(A))))),i(t(i(i(i(i(A)))),i(t(i(i(i(A))),i(t(i(i(A)),
% i(t(
% i(A),
% i(
% t(A,
% i(
% quotient(A,
% j(A))))))))))))))),
% i(A)) -> j(A)
% Current number of equations to process: 849
% Current number of ordered equations: 0
% Current number of rules: 1335
% New rule produced :
% [2794]
% quotient(difference(i(t(quotient(A,B),B)),quotient(quotient(i(quotient(A,B)),
% quotient(eta(difference(A,
% i(quotient(A,B)))),
% quotient(i(i(quotient(A,B))),
% difference(A,i(quotient(A,B)))))),
% quotient(A,B))),t(quotient(A,B),B))
% -> A
% Current number of equations to process: 847
% Current number of ordered equations: 0
% Current number of rules: 1336
% New rule produced :
% [2795]
% quotient(t(j(j(A)),eta(A)),quotient(eta(difference(j(j(j(j(A)))),t(j(j(A)),
% eta(A)))),
% quotient(i(t(j(j(A)),eta(A))),difference(j(
% j(
% j(j(A)))),
% t(j(j(A)),eta(A))))))
% -> j(j(A))
% Current number of equations to process: 846
% Current number of ordered equations: 0
% Current number of rules: 1337
% New rule produced :
% [2796]
% t(eta(A),difference(B,quotient(j(quotient(quotient(j(A),quotient(eta(A),
% j(eta(A)))),j(eta(A)))),
% j(j(A))))) ->
% quotient(t(eta(A),B),quotient(eta(quotient(B,eta(A))),quotient(i(t(eta(A),B)),
% quotient(B,eta(A)))))
% Current number of equations to process: 845
% Current number of ordered equations: 0
% Current number of rules: 1338
% New rule produced :
% [2797]
% quotient(quotient(t(A,quotient(A,quotient(eta(B),quotient(i(A),B)))),
% quotient(quotient(quotient(A,B),quotient(A,quotient(B,A))),t(A,
% quotient(A,
% quotient(
% eta(B),
% quotient(
% i(A),B)))))),
% quotient(A,B)) -> t(A,quotient(A,quotient(eta(B),quotient(i(A),B))))
% Current number of equations to process: 844
% Current number of ordered equations: 0
% Current number of rules: 1339
% New rule produced :
% [2798]
% quotient(quotient(quotient(difference(A,eta(B)),quotient(B,difference(A,
% eta(B)))),
% quotient(i(quotient(eta(B),quotient(i(A),B))),quotient(difference(A,
% eta(B)),
% quotient(B,difference(A,
% eta(B)))))),
% difference(A,eta(B))) ->
% quotient(difference(A,eta(B)),quotient(B,difference(A,eta(B))))
% Current number of equations to process: 843
% Current number of ordered equations: 0
% Current number of rules: 1340
% New rule produced :
% [2799]
% quotient(t(A,quotient(A,quotient(eta(B),quotient(i(A),B)))),t(quotient(A,B),
% quotient(
% quotient(A,B),
% difference(
% i(quotient(A,B)),
% quotient(
% difference(
% i(B),A),B))))) ->
% t(t(quotient(A,B),quotient(quotient(A,B),difference(i(quotient(A,B)),
% quotient(difference(i(B),A),B)))),
% quotient(A,B))
% Current number of equations to process: 842
% Current number of ordered equations: 0
% Current number of rules: 1341
% New rule produced :
% [2800]
% quotient(quotient(t(A,quotient(A,B)),t(t(A,quotient(A,B)),A)),t(t(A,quotient(A,B)),
% quotient(
% t(A,quotient(A,B)),
% quotient(A,
% quotient(B,A)))))
% ->
% t(t(t(A,quotient(A,B)),quotient(t(A,quotient(A,B)),quotient(A,quotient(B,A)))),
% t(A,quotient(A,B)))
% Current number of equations to process: 841
% Current number of ordered equations: 0
% Current number of rules: 1342
% New rule produced :
% [2801]
% quotient(quotient(difference(i(quotient(A,B)),quotient(difference(i(B),A),B)),
% quotient(t(A,quotient(A,B)),difference(i(quotient(A,B)),quotient(
% difference(
% i(B),A),B)))),
% t(t(A,quotient(A,B)),A)) ->
% difference(i(quotient(A,B)),quotient(difference(i(B),A),B))
% Current number of equations to process: 840
% Current number of ordered equations: 0
% Current number of rules: 1343
% New rule produced :
% [2802]
% difference(t(t(quotient(eta(A),j(eta(B))),quotient(eta(A),i(i(B)))),quotient(
% eta(A),
% j(
% eta(B)))),
% quotient(quotient(eta(A),j(eta(B))),quotient(B,quotient(eta(A),j(eta(B))))))
% -> t(quotient(eta(A),j(eta(B))),quotient(eta(A),i(i(B))))
% Current number of equations to process: 839
% Current number of ordered equations: 0
% Current number of rules: 1344
% New rule produced :
% [2803]
% quotient(quotient(t(quotient(A,j(eta(B))),j(eta(B))),quotient(quotient(A,
% quotient(
% quotient(A,
% j(eta(B))),
% quotient(
% eta(B),
% quotient(A,
% j(eta(B)))))),
% t(quotient(A,j(eta(B))),
% j(eta(B))))),A) ->
% t(quotient(A,j(eta(B))),j(eta(B)))
% Current number of equations to process: 838
% Current number of ordered equations: 0
% Current number of rules: 1345
% New rule produced :
% [2804]
% quotient(quotient(i(i(A)),quotient(j(A),i(i(A)))),t(t(i(i(A)),quotient(
% eta(A),
% i(quotient(A,
% j(A))))),
% i(i(A)))) ->
% t(t(t(i(i(A)),quotient(eta(A),i(quotient(A,j(A))))),i(i(A))),t(i(i(A)),
% quotient(
% eta(A),i(
% quotient(A,
% j(A))))))
% Current number of equations to process: 837
% Current number of ordered equations: 0
% Current number of rules: 1346
% New rule produced :
% [2805]
% difference(A,quotient(quotient(j(eta(A)),quotient(eta(difference(x1,j(eta(A)))),
% quotient(eta(A),difference(x1,
% j(eta(A)))))),
% quotient(j(quotient(i(quotient(eta(x1),quotient(j(A),x1))),
% j(eta(A)))),j(j(A))))) -> j(j(j(A)))
% Current number of equations to process: 836
% Current number of ordered equations: 0
% Current number of rules: 1347
% New rule produced :
% [2806]
% quotient(eta(A),i(quotient(quotient(difference(j(eta(B)),quotient(eta(
% quotient(
% eta(A),
% j(eta(B)))),
% i(quotient(C,
% quotient(quotient(C,
% j(
% eta(B))),
% quotient(eta(B),
% i(quotient(C,
% j(eta(B)))))))))),
% eta(B)),C))) -> j(j(quotient(eta(A),j(eta(B)))))
% Current number of equations to process: 835
% Current number of ordered equations: 0
% Current number of rules: 1348
% New rule produced :
% [2807]
% quotient(difference(i(quotient(A,i(B))),quotient(i(B),quotient(quotient(A,
% i(B)),
% quotient(eta(difference(
% j(B),
% quotient(A,
% i(B)))),
% quotient(i(quotient(A,
% i(B))),
% difference(j(B),
% quotient(A,i(B)))))))),
% quotient(A,i(B))) -> quotient(A,j(B))
% Current number of equations to process: 834
% Current number of ordered equations: 0
% Current number of rules: 1349
% New rule produced :
% [2808]
% quotient(quotient(i(i(i(i(i(A))))),quotient(eta(t(i(i(i(A))),i(t(i(i(A)),
% i(t(i(A),
% i(t(A,
% i(
% quotient(A,
% j(A))))))))))),
% quotient(i(i(i(i(i(i(A)))))),i(t(i(
% i(i(A))),
% i(t(
% i(i(A)),
% i(
% t(
% i(A),
% i(
% t(A,
% i(
% quotient(A,
% j(A)))))))))))))),
% i(i(i(i(A))))) -> i(i(i(i(A))))
% Current number of equations to process: 833
% Current number of ordered equations: 0
% Current number of rules: 1350
% New rule produced :
% [2809]
% quotient(quotient(quotient(i(i(i(A))),quotient(j(A),i(i(i(A))))),quotient(
% quotient(
% eta(A),
% j(eta(A))),
% quotient(
% i(i(i(A))),
% quotient(
% j(A),
% i(i(i(A))))))),
% i(i(i(A)))) -> quotient(i(i(i(A))),quotient(j(A),i(i(i(A)))))
% Current number of equations to process: 832
% Current number of ordered equations: 0
% Current number of rules: 1351
% New rule produced :
% [2810]
% quotient(quotient(t(quotient(eta(A),i(B)),j(B)),t(t(quotient(eta(A),i(B)),
% j(B)),quotient(eta(A),i(B)))),
% quotient(t(quotient(eta(A),i(B)),j(B)),quotient(eta(A),j(eta(B))))) ->
% t(quotient(eta(A),i(B)),j(B))
% Current number of equations to process: 831
% Current number of ordered equations: 0
% Current number of rules: 1352
% New rule produced :
% [2811]
% difference(i(A),i(t(i(i(i(i(i(A))))),i(t(i(i(i(i(A)))),i(t(i(i(i(A))),
% i(t(i(i(A)),
% i(t(i(A),i(
% t(A,
% i(
% quotient(A,
% j(A))))))))))))))))
% -> i(i(i(A)))
% Current number of equations to process: 830
% Current number of ordered equations: 0
% Current number of rules: 1353
% New rule produced :
% [2812]
% quotient(quotient(i(i(i(A))),quotient(j(A),i(i(i(A))))),t(t(i(i(i(A))),
% quotient(eta(A),
% j(eta(A)))),
% i(i(i(A))))) ->
% t(t(t(i(i(i(A))),quotient(eta(A),j(eta(A)))),i(i(i(A)))),t(i(i(i(A))),
% quotient(eta(A),
% j(eta(A)))))
% Current number of equations to process: 829
% Current number of ordered equations: 0
% Current number of rules: 1354
% New rule produced :
% [2813]
% t(eta(A),quotient(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A)),quotient(j(quotient(i(quotient(eta(B),quotient(
% j(A),B))),
% j(eta(A)))),j(j(A))))) ->
% quotient(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),eta(A)),
% quotient(B,eta(A)))
% Current number of equations to process: 828
% Current number of ordered equations: 0
% Current number of rules: 1355
% New rule produced :
% [2814]
% quotient(eta(A),i(quotient(i(B),quotient(eta(quotient(quotient(eta(A),
% j(eta(B))),quotient(
% eta(B),
% quotient(
% i(quotient(
% eta(A),
% j(
% eta(B)))),B)))),
% quotient(i(quotient(eta(A),i(i(B)))),
% quotient(quotient(eta(A),j(eta(B))),quotient(
% eta(B),
% quotient(
% i(
% quotient(
% eta(A),
% j(
% eta(B)))),B))))))))
% -> B
% Current number of equations to process: 827
% Current number of ordered equations: 0
% Current number of rules: 1356
% New rule produced :
% [2815]
% quotient(quotient(eta(quotient(eta(A),i(quotient(A,j(A))))),quotient(A,
% quotient(
% eta(A),i(
% quotient(A,
% j(A)))))),
% quotient(eta(A),i(quotient(eta(quotient(A,j(A))),quotient(i(quotient(
% eta(quotient(
% eta(A),
% i(quotient(A,
% j(A))))),
% quotient(A,
% quotient(
% eta(A),i(
% quotient(A,
% j(A))))))),
% quotient(A,j(A))))))) ->
% quotient(i(i(A)),quotient(eta(A),i(quotient(eta(quotient(A,j(A))),quotient(
% i(i(i(A))),
% quotient(A,
% j(A)))))))
% Current number of equations to process: 825
% Current number of ordered equations: 0
% Current number of rules: 1357
% New rule produced :
% [2816]
% quotient(quotient(eta(A),quotient(j(eta(B)),A)),quotient(eta(t(t(A,eta(B)),A)),
% quotient(i(quotient(eta(A),
% quotient(j(eta(B)),A))),
% t(t(A,eta(B)),A)))) ->
% quotient(quotient(A,j(eta(B))),quotient(eta(t(t(A,eta(B)),A)),quotient(
% i(quotient(A,
% j(eta(B)))),
% t(t(A,eta(B)),A))))
% Current number of equations to process: 824
% Current number of ordered equations: 0
% Current number of rules: 1358
% New rule produced :
% [2817]
% quotient(quotient(t(quotient(A,quotient(B,A)),quotient(B,A)),quotient(
% quotient(A,
% quotient(
% quotient(A,
% quotient(B,A)),
% quotient(
% quotient(A,B),
% quotient(A,
% quotient(B,A))))),
% t(quotient(A,
% quotient(B,A)),
% quotient(B,A)))),A)
% -> t(quotient(A,quotient(B,A)),quotient(B,A))
% Current number of equations to process: 823
% Current number of ordered equations: 0
% Current number of rules: 1359
% New rule produced :
% [2818]
% difference(t(t(quotient(A,quotient(B,A)),t(t(A,quotient(A,B)),A)),quotient(A,
% quotient(B,A))),
% quotient(quotient(A,quotient(B,A)),quotient(t(A,quotient(A,B)),quotient(A,
% quotient(B,A)))))
% -> t(quotient(A,quotient(B,A)),t(t(A,quotient(A,B)),A))
% Current number of equations to process: 821
% Current number of ordered equations: 0
% Current number of rules: 1360
% New rule produced :
% [2819]
% t(eta(A),difference(j(B),quotient(eta(quotient(eta(quotient(quotient(
% quotient(A,
% j(A)),eta(A)),A)),
% quotient(j(eta(A)),quotient(quotient(
% quotient(A,
% j(A)),
% eta(A)),A)))),
% eta(A)))) ->
% t(eta(A),difference(j(B),quotient(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)),eta(A))))
% Current number of equations to process: 820
% Current number of ordered equations: 0
% Current number of rules: 1361
% New rule produced :
% [2820]
% t(eta(t(eta(A),B)),quotient(eta(quotient(quotient(t(eta(A),quotient(B,j(B))),
% eta(t(eta(A),B))),t(eta(A),B))),
% eta(t(eta(A),B)))) ->
% quotient(eta(quotient(quotient(t(eta(A),quotient(B,j(B))),eta(t(eta(A),B))),
% t(eta(A),B))),eta(t(eta(A),B)))
% Current number of equations to process: 819
% Current number of ordered equations: 0
% Current number of rules: 1362
% New rule produced :
% [2821]
% t(eta(A),difference(i(B),quotient(eta(quotient(eta(quotient(quotient(
% quotient(A,
% j(A)),eta(A)),A)),
% quotient(j(eta(A)),quotient(quotient(
% quotient(A,
% j(A)),
% eta(A)),A)))),
% eta(A)))) ->
% t(eta(A),difference(i(B),quotient(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)),eta(A))))
% Current number of equations to process: 818
% Current number of ordered equations: 0
% Current number of rules: 1363
% New rule produced :
% [2822]
% quotient(quotient(i(quotient(A,j(A))),t(i(quotient(A,j(A))),A)),t(t(i(
% quotient(A,
% j(A))),
% j(j(j(A)))),
% i(quotient(A,
% j(A))))) ->
% t(t(t(i(quotient(A,j(A))),j(j(j(A)))),i(quotient(A,j(A)))),t(i(quotient(A,
% j(A))),
% j(j(j(A)))))
% Current number of equations to process: 817
% Current number of ordered equations: 0
% Current number of rules: 1364
% New rule produced :
% [2823]
% quotient(i(quotient(j(A),j(j(A)))),quotient(eta(quotient(j(quotient(i(
% quotient(
% eta(
% quotient(
% j(A),
% j(
% j(A)))),
% quotient(
% j(A),
% i(
% quotient(
% j(A),
% j(
% j(A))))))),
% j(eta(A)))),
% j(j(A)))),quotient(i(
% i(
% quotient(
% j(A),
% j(
% j(A))))),
% quotient(j(
% quotient(
% i(
% quotient(
% eta(
% quotient(
% j(A),
% j(
% j(A)))),
% quotient(
% j(A),
% i(
% quotient(
% j(A),
% j(
% j(A))))))),
% j(
% eta(A)))),
% j(j(A)))))) ->
% quotient(eta(A),i(quotient(j(A),j(j(A)))))
% Current number of equations to process: 816
% Current number of ordered equations: 0
% Current number of rules: 1365
% New rule produced :
% [2824]
% quotient(difference(B,eta(A)),quotient(eta(quotient(eta(A),quotient(i(B),A))),
% quotient(i(difference(B,eta(A))),i(quotient(
% eta(A),
% quotient(
% i(B),A))))))
% ->
% quotient(quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(i(A),
% i(quotient(eta(A),
% quotient(i(B),A))))),
% quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(i(quotient(eta(
% quotient(
% eta(A),
% quotient(
% i(B),A))),
% quotient(i(A),
% i(quotient(
% eta(A),quotient(
% i(B),A)))))),
% i(quotient(eta(A),quotient(
% i(B),A))))))
% Current number of equations to process: 815
% Current number of ordered equations: 0
% Current number of rules: 1366
% New rule produced :
% [2825]
% quotient(quotient(quotient(quotient(A,j(eta(B))),quotient(eta(B),quotient(A,
% j(eta(B))))),
% quotient(A,quotient(quotient(A,j(eta(B))),quotient(eta(B),quotient(A,
% j(
% eta(B))))))),
% quotient(A,j(eta(B)))) ->
% quotient(quotient(A,j(eta(B))),quotient(eta(B),quotient(A,j(eta(B)))))
% Current number of equations to process: 814
% Current number of ordered equations: 0
% Current number of rules: 1367
% New rule produced :
% [2826]
% t(eta(A),difference(quotient(eta(A),quotient(B,j(eta(A)))),quotient(j(
% quotient(
% i(
% quotient(
% eta(
% quotient(
% quotient(
% eta(A),B),
% j(
% eta(A)))),
% quotient(
% j(A),
% quotient(
% quotient(
% eta(A),B),
% j(
% eta(A)))))),
% j(
% eta(A)))),
% j(j(A))))) ->
% eta(A)
% Current number of equations to process: 813
% Current number of ordered equations: 0
% Current number of rules: 1368
% New rule produced :
% [2827]
% difference(t(quotient(A,eta(B)),quotient(quotient(A,eta(B)),t(eta(B),C))),
% quotient(quotient(A,eta(B)),t(eta(B),quotient(C,quotient(j(quotient(i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(eta(B)))),
% j(j(B))))))) ->
% quotient(A,eta(B))
% Current number of equations to process: 812
% Current number of ordered equations: 0
% Current number of rules: 1369
% New rule produced :
% [2828]
% quotient(i(t(i(i(i(i(i(A))))),i(t(i(i(i(i(A)))),i(t(i(i(i(A))),i(t(i(i(A)),
% i(t(
% i(A),
% i(
% t(A,
% i(
% quotient(A,
% j(A))))))))))))))),
% i(i(i(A)))) -> i(A)
% Current number of equations to process: 811
% Current number of ordered equations: 0
% Current number of rules: 1370
% New rule produced :
% [2829]
% quotient(quotient(t(quotient(eta(A),i(i(B))),B),t(t(quotient(eta(A),i(i(B))),B),
% quotient(eta(A),i(i(B))))),
% quotient(t(quotient(eta(A),i(i(B))),B),quotient(eta(A),j(eta(B))))) ->
% t(quotient(eta(A),i(i(B))),B)
% Current number of equations to process: 810
% Current number of ordered equations: 0
% Current number of rules: 1371
% New rule produced :
% [2830]
% quotient(difference(B,i(i(A))),A) ->
% quotient(quotient(eta(A),quotient(i(B),A)),quotient(eta(quotient(j(quotient(
% i(
% quotient(
% eta(B),
% quotient(
% j(A),B))),
% j(
% eta(A)))),
% j(j(A)))),quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),
% quotient(
% j(quotient(
% i(
% quotient(
% eta(B),
% quotient(
% j(A),B))),
% j(
% eta(A)))),
% j(j(A))))))
% Rule
% [1086]
% difference(i(quotient(j(A),j(j(A)))),quotient(j(j(A)),quotient(quotient(
% difference(B,
% i(i(A))),A),
% j(j(A))))) ->
% quotient(quotient(quotient(eta(B),quotient(i(i(quotient(j(A),j(j(A))))),B)),A),
% j(j(A))) collapsed.
% Rule
% [2065]
% difference(i(quotient(A,j(A))),quotient(j(A),quotient(quotient(difference(B,
% i(i(i(A)))),
% i(A)),j(A)))) ->
% quotient(quotient(quotient(eta(B),quotient(i(i(quotient(A,j(A)))),B)),i(A)),
% j(A)) collapsed.
% Rule
% [2762]
% quotient(quotient(j(j(A)),quotient(quotient(difference(B,i(i(A))),A),j(j(A)))),
% i(quotient(j(A),j(j(A))))) ->
% t(i(quotient(j(A),j(j(A)))),quotient(quotient(quotient(eta(B),quotient(
% i(i(quotient(
% j(A),
% j(j(A))))),B)),A),
% j(j(A)))) collapsed.
% Rule
% [2763]
% quotient(quotient(j(j(A)),quotient(quotient(difference(B,i(i(A))),A),j(j(A)))),
% quotient(quotient(quotient(eta(B),quotient(i(i(quotient(j(A),j(j(A))))),B)),A),
% j(j(A)))) -> i(quotient(j(A),j(j(A)))) collapsed.
% Current number of equations to process: 812
% Current number of ordered equations: 0
% Current number of rules: 1368
% New rule produced :
% [2831]
% quotient(eta(A),i(i(i(i(i(i(i(i(i(i(A))))))))))) ->
% i(i(i(i(i(i(i(i(i(i(i(A)))))))))))
% Current number of equations to process: 814
% Current number of ordered equations: 0
% Current number of rules: 1369
% New rule produced :
% [2832] t(i(i(i(i(i(i(i(i(i(i(i(A))))))))))),eta(A)) -> j(eta(A))
% Current number of equations to process: 818
% Current number of ordered equations: 0
% Current number of rules: 1370
% Rule [2220]
% quotient(eta(A),quotient(eta(t(eta(A),B)),t(eta(A),quotient(j(eta(A)),B))))
% -> t(eta(A),quotient(eta(A),quotient(B,j(eta(A))))) is composed into
% [2220]
% quotient(eta(A),quotient(eta(t(eta(A),B)),t(eta(A),quotient(j(eta(A)),B))))
% -> t(eta(A),j(B))
% Rule [1309]
% t(eta(A),quotient(eta(A),quotient(eta(B),quotient(j(eta(A)),B)))) ->
% t(eta(A),quotient(eta(A),quotient(B,j(eta(A))))) is composed into
% [1309]
% t(eta(A),quotient(eta(A),quotient(eta(B),quotient(j(eta(A)),B)))) ->
% t(eta(A),j(B))
% New rule produced : [2833] quotient(eta(A),quotient(B,j(eta(A)))) -> j(B)
% Rule
% [1034]
% quotient(quotient(eta(A),B),quotient(eta(A),quotient(B,j(eta(A))))) -> eta(A)
% collapsed.
% Rule
% [1039]
% quotient(quotient(quotient(A,j(eta(B))),quotient(eta(B),quotient(A,j(eta(B))))),A)
% -> quotient(A,j(eta(B))) collapsed.
% Rule [1094] quotient(eta(A),quotient(i(B),j(eta(A)))) -> B collapsed.
% Rule
% [1456]
% quotient(eta(quotient(t(eta(A),quotient(eta(A),quotient(t(A,i(quotient(A,
% j(A)))),
% j(eta(A))))),A)),eta(A)) ->
% one collapsed.
% Rule
% [1580]
% t(eta(A),quotient(t(eta(A),t(quotient(eta(A),quotient(B,j(eta(A)))),quotient(B,
% j(
% eta(A))))),
% t(quotient(eta(A),B),B))) -> eta(A) collapsed.
% Rule
% [1915]
% quotient(eta(A),quotient(i(t(eta(B),quotient(eta(B),quotient(quotient(
% i(quotient(
% eta(C),
% quotient(
% j(eta(B)),C))),B),
% j(eta(B)))))),A)) ->
% quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(C),B))),A)) collapsed.
% Rule
% [2333]
% quotient(quotient(quotient(eta(A),B),quotient(quotient(eta(A),quotient(B,
% j(eta(A)))),
% quotient(eta(A),B))),eta(A)) ->
% quotient(eta(A),B) collapsed.
% Rule
% [2371]
% difference(t(quotient(A,j(eta(B))),A),quotient(quotient(A,j(eta(B))),
% quotient(eta(B),quotient(A,j(eta(B))))))
% -> quotient(A,j(eta(B))) collapsed.
% Rule
% [2415]
% quotient(quotient(eta(A),B),t(eta(A),quotient(eta(A),quotient(B,j(eta(A))))))
% -> t(eta(A),t(quotient(eta(A),quotient(B,j(eta(A)))),eta(A))) collapsed.
% Rule
% [2425]
% quotient(quotient(quotient(A,j(eta(B))),quotient(eta(B),quotient(A,j(eta(B))))),
% t(quotient(A,j(eta(B))),A)) ->
% t(t(quotient(A,j(eta(B))),A),quotient(A,j(eta(B)))) collapsed.
% Rule
% [2460]
% t(eta(A),difference(t(j(eta(A)),quotient(j(eta(A)),B)),quotient(j(eta(A)),
% quotient(quotient(
% eta(quotient(B,
% j(
% eta(A)))),
% quotient(
% eta(A),
% quotient(B,
% j(eta(A))))),
% j(eta(A)))))) ->
% j(eta(A)) collapsed.
% Rule
% [2473]
% quotient(quotient(quotient(eta(t(eta(A),B)),t(eta(A),quotient(j(eta(A)),B))),
% t(eta(A),quotient(eta(A),quotient(B,j(eta(A)))))),t(eta(A),B)) ->
% quotient(eta(t(eta(A),B)),t(eta(A),quotient(j(eta(A)),B))) collapsed.
% Rule
% [2523]
% quotient(A,quotient(eta(B),quotient(difference(A,eta(B)),j(eta(B))))) ->
% eta(B) collapsed.
% Rule
% [2524]
% quotient(t(quotient(eta(A),B),B),quotient(eta(A),quotient(quotient(eta(A),B),
% j(eta(A))))) -> eta(A)
% collapsed.
% Rule
% [2525]
% quotient(t(t(quotient(eta(A),B),B),quotient(eta(A),B)),quotient(eta(A),
% quotient(t(quotient(
% eta(A),B),B),
% j(eta(A))))) ->
% eta(A) collapsed.
% Rule
% [2527]
% quotient(quotient(eta(A),B),t(eta(A),t(quotient(eta(A),quotient(B,j(eta(A)))),
% eta(A)))) ->
% t(eta(A),t(t(quotient(eta(A),quotient(B,j(eta(A)))),eta(A)),quotient(
% eta(A),quotient(B,
% j(
% eta(A))))))
% collapsed.
% Rule
% [2528]
% quotient(t(eta(A),quotient(eta(A),quotient(quotient(B,j(eta(A))),j(eta(A))))),
% quotient(quotient(eta(A),quotient(B,j(eta(A)))),quotient(eta(A),B))) ->
% quotient(eta(A),quotient(B,j(eta(A)))) collapsed.
% Rule
% [2543]
% difference(t(quotient(eta(A),B),eta(A)),quotient(quotient(eta(A),B),quotient(
% quotient(
% eta(A),
% quotient(B,
% j(
% eta(A)))),
% quotient(
% eta(A),B))))
% -> quotient(eta(A),B) collapsed.
% Rule
% [2549]
% difference(t(t(quotient(A,j(eta(B))),A),quotient(A,j(eta(B)))),quotient(
% quotient(A,
% j(eta(B))),
% quotient(
% eta(B),
% quotient(A,
% j(eta(B))))))
% -> t(quotient(A,j(eta(B))),A) collapsed.
% Rule
% [2550]
% quotient(quotient(quotient(eta(A),B),quotient(quotient(eta(A),quotient(B,
% j(eta(A)))),
% quotient(eta(A),B))),t(quotient(
% eta(A),B),
% eta(A))) ->
% t(t(quotient(eta(A),B),eta(A)),quotient(eta(A),B)) collapsed.
% Rule
% [2558]
% quotient(quotient(j(eta(A)),j(eta(B))),quotient(eta(B),quotient(j(eta(A)),
% j(eta(B))))) ->
% quotient(quotient(j(eta(A)),j(eta(B))),eta(A)) collapsed.
% Rule
% [2560]
% quotient(t(quotient(A,j(eta(B))),j(eta(B))),quotient(A,quotient(quotient(A,
% j(eta(B))),
% quotient(eta(B),
% quotient(A,j(eta(B)))))))
% -> A collapsed.
% Rule
% [2565]
% difference(t(t(quotient(eta(A),B),eta(A)),quotient(eta(A),B)),quotient(
% quotient(
% eta(A),B),
% quotient(
% quotient(
% eta(A),
% quotient(B,
% j(eta(A)))),
% quotient(
% eta(A),B)))) ->
% t(quotient(eta(A),B),eta(A)) collapsed.
% Rule
% [2656]
% quotient(t(t(t(quotient(eta(A),B),B),quotient(eta(A),B)),t(quotient(eta(A),B),B)),
% quotient(eta(A),quotient(t(t(quotient(eta(A),B),B),quotient(eta(A),B)),
% j(eta(A))))) -> eta(A) collapsed.
% Rule
% [2657]
% quotient(quotient(quotient(eta(A),B),quotient(t(eta(A),quotient(eta(A),
% quotient(B,j(eta(A))))),
% quotient(eta(A),B))),t(eta(A),t(
% quotient(
% eta(A),
% quotient(B,
% j(
% eta(A)))),
% eta(A))))
% -> quotient(eta(A),B) collapsed.
% Rule
% [2658]
% quotient(t(quotient(A,j(eta(B))),j(eta(B))),t(A,quotient(A,quotient(quotient(A,
% j(
% eta(B))),
% quotient(eta(B),
% quotient(A,
% j(eta(B)))))))) ->
% t(t(A,quotient(A,quotient(quotient(A,j(eta(B))),quotient(eta(B),quotient(A,
% j(eta(B))))))),A)
% collapsed.
% Rule
% [2659]
% quotient(quotient(quotient(A,j(eta(B))),quotient(eta(B),quotient(A,j(eta(B))))),
% t(t(quotient(A,j(eta(B))),A),quotient(A,j(eta(B))))) ->
% t(t(t(quotient(A,j(eta(B))),A),quotient(A,j(eta(B)))),t(quotient(A,j(eta(B))),A))
% collapsed.
% Rule
% [2663]
% quotient(difference(i(quotient(A,j(eta(B)))),quotient(difference(i(A),
% quotient(quotient(A,
% j(eta(B))),
% quotient(eta(B),
% quotient(A,j(eta(B)))))),A)),
% quotient(A,j(eta(B)))) ->
% quotient(quotient(A,j(eta(B))),quotient(eta(B),quotient(A,j(eta(B)))))
% collapsed.
% Rule
% [2697]
% quotient(quotient(eta(A),j(eta(B))),quotient(eta(B),quotient(eta(A),j(eta(B)))))
% -> quotient(quotient(eta(A),j(eta(B))),j(eta(A))) collapsed.
% Rule
% [2707]
% t(j(eta(A)),quotient(j(eta(A)),quotient(eta(quotient(B,j(eta(A)))),quotient(
% eta(A),
% quotient(B,
% j(
% eta(A)))))))
% -> t(j(eta(A)),quotient(j(eta(A)),B)) collapsed.
% Rule
% [2776]
% quotient(quotient(quotient(eta(A),B),quotient(quotient(eta(A),quotient(B,
% j(eta(A)))),
% quotient(eta(A),B))),t(t(quotient(
% eta(A),B),
% eta(A)),quotient(
% eta(A),B)))
% ->
% t(t(t(quotient(eta(A),B),eta(A)),quotient(eta(A),B)),t(quotient(eta(A),B),
% eta(A))) collapsed.
% Rule
% [2803]
% quotient(quotient(t(quotient(A,j(eta(B))),j(eta(B))),quotient(quotient(A,
% quotient(
% quotient(A,
% j(eta(B))),
% quotient(
% eta(B),
% quotient(A,
% j(eta(B)))))),
% t(quotient(A,j(eta(B))),
% j(eta(B))))),A) ->
% t(quotient(A,j(eta(B))),j(eta(B))) collapsed.
% Rule
% [2825]
% quotient(quotient(quotient(quotient(A,j(eta(B))),quotient(eta(B),quotient(A,
% j(eta(B))))),
% quotient(A,quotient(quotient(A,j(eta(B))),quotient(eta(B),quotient(A,
% j(
% eta(B))))))),
% quotient(A,j(eta(B)))) ->
% quotient(quotient(A,j(eta(B))),quotient(eta(B),quotient(A,j(eta(B)))))
% collapsed.
% Rule
% [2826]
% t(eta(A),difference(quotient(eta(A),quotient(B,j(eta(A)))),quotient(j(
% quotient(
% i(
% quotient(
% eta(
% quotient(
% quotient(
% eta(A),B),
% j(
% eta(A)))),
% quotient(
% j(A),
% quotient(
% quotient(
% eta(A),B),
% j(
% eta(A)))))),
% j(
% eta(A)))),
% j(j(A))))) ->
% eta(A) collapsed.
% Current number of equations to process: 858
% Current number of ordered equations: 0
% Current number of rules: 1337
% New rule produced : [2834] quotient(quotient(eta(A),B),j(B)) -> eta(A)
% Current number of equations to process: 857
% Current number of ordered equations: 0
% Current number of rules: 1338
% New rule produced : [2835] quotient(A,j(difference(A,eta(B)))) -> eta(B)
% Current number of equations to process: 856
% Current number of ordered equations: 0
% Current number of rules: 1339
% New rule produced :
% [2836] t(B,quotient(i(B),j(eta(A)))) <-> quotient(eta(A),B)
% Current number of equations to process: 855
% Current number of ordered equations: 1
% Current number of rules: 1340
% Rule [2276]
% quotient(difference(A,quotient(difference(i(quotient(A,j(A))),difference(
% j(A),
% quotient(A,
% j(A)))),
% quotient(A,j(A)))),A) ->
% quotient(t(A,quotient(A,quotient(eta(quotient(A,j(A))),A))),A) is composed into
% [2276]
% quotient(difference(A,quotient(difference(i(quotient(A,j(A))),difference(
% j(A),quotient(A,
% j(A)))),
% quotient(A,j(A)))),A) ->
% quotient(t(A,quotient(A,t(A,quotient(i(A),j(eta(quotient(A,j(A)))))))),A)
% Rule [1902]
% quotient(difference(A,quotient(difference(i(quotient(A,j(A))),quotient(
% eta(B),
% j(
% eta(
% quotient(A,
% j(A)))))),
% quotient(A,j(A)))),quotient(eta(B),i(i(quotient(A,
% j(A))))))
% ->
% quotient(quotient(quotient(eta(A),quotient(i(quotient(eta(B),i(quotient(
% eta(
% quotient(A,
% j(A))),A)))),A)),A),
% quotient(eta(B),i(i(quotient(A,j(A)))))) is composed into [1902]
% quotient(
% difference(A,
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% quotient(
% eta(B),
% j(eta(
% quotient(A,
% j(A)))))),
% quotient(A,
% j(A)))),
% quotient(
% eta(B),
% i(i(quotient(A,
% j(A))))))
% ->
% quotient(
% quotient(
% quotient(
% eta(A),
% quotient(
% i(quotient(
% eta(B),
% i(t(A,
% quotient(
% i(A),
% j(
% eta(
% quotient(A,
% j(A))))))))),A)),A),
% quotient(
% eta(B),
% i(i(quotient(A,
% j(A))))))
% Rule [1824]
% difference(j(quotient(i(A),eta(C))),eta(B)) <->
% quotient(difference(A,quotient(quotient(i(quotient(eta(quotient(
% eta(B),quotient(
% j(
% eta(C)),B))),
% eta(C))),quotient(eta(
% difference(
% eta(B),
% i(quotient(
% eta(
% quotient(
% eta(B),
% quotient(
% j(
% eta(C)),B))),
% eta(C))))),
% quotient(i(i(
% quotient(
% eta(
% quotient(
% eta(B),
% quotient(
% j(
% eta(C)),B))),
% eta(C)))),
% difference(eta(B),
% i(quotient(eta(
% quotient(
% eta(B),
% quotient(
% j(
% eta(C)),B))),
% eta(C))))))),
% quotient(eta(quotient(eta(B),quotient(j(eta(C)),B))),
% eta(C)))),eta(C)) is composed into [1824]
% difference(
% j(quotient(
% i(A),
% eta(C))),
% eta(B)) <->
% quotient(
% difference(A,
% quotient(
% quotient(
% i(t(eta(C),
% quotient(
% i(eta(C)),
% j(eta(
% quotient(
% eta(B),
% quotient(
% j(eta(C)),B))))))),
% quotient(
% eta(difference(
% eta(B),
% i(t(
% eta(C),
% quotient(
% i(
% eta(C)),
% j(
% eta(
% quotient(
% eta(B),
% quotient(
% j(
% eta(C)),B))))))))),
% quotient(
% i(i(t(eta(C),
% quotient(
% i(eta(C)),
% j(eta(
% quotient(
% eta(B),
% quotient(
% j(
% eta(C)),B)))))))),
% difference(
% eta(B),
% i(t(eta(C),
% quotient(
% i(eta(C)),
% j(eta(
% quotient(
% eta(B),
% quotient(
% j(eta(C)),B))))))))))),
% t(eta(C),
% quotient(
% i(eta(C)),
% j(eta(quotient(
% eta(B),
% quotient(
% j(
% eta(C)),B)))))))),
% eta(C))
% Rule [1608]
% quotient(j(quotient(quotient(j(B),eta(A)),j(eta(B)))),j(j(B))) ->
% quotient(eta(quotient(eta(A),quotient(j(eta(B)),A))),eta(B)) is composed into
% [1608]
% quotient(j(quotient(quotient(j(B),eta(A)),j(eta(B)))),j(j(B))) ->
% t(eta(B),quotient(i(eta(B)),j(eta(quotient(eta(A),quotient(j(eta(B)),A))))))
% Rule [1520]
% quotient(quotient(eta(A),quotient(j(eta(B)),A)),j(j(A))) <->
% t(j(j(A)),quotient(eta(quotient(eta(B),quotient(j(eta(A)),B))),eta(A))) is composed into
% [1520]
% quotient(quotient(eta(A),quotient(j(eta(B)),A)),j(j(A))) ->
% t(j(j(A)),t(eta(A),quotient(i(eta(A)),j(eta(quotient(eta(B),quotient(
% j(eta(A)),B)))))))
% Rule [1513]
% quotient(t(eta(A),B),quotient(eta(C),eta(A))) <->
% t(eta(A),quotient(B,quotient(eta(quotient(eta(C),quotient(j(eta(A)),C))),
% eta(A)))) is composed into [1513]
% quotient(t(eta(A),B),
% quotient(eta(C),eta(A)))
% <->
% t(eta(A),quotient(B,
% t(eta(A),
% quotient(
% i(eta(A)),
% j(eta(quotient(
% eta(C),
% quotient(
% j(
% eta(A)),C))))))))
% New rule produced :
% [2837] quotient(eta(A),B) <-> t(B,quotient(i(B),j(eta(A))))
% Rule
% [1061]
% t(eta(A),quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),eta(A)))
% -> quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),eta(A))
% collapsed.
% Rule
% [1349]
% quotient(eta(A),quotient(eta(quotient(eta(A),quotient(j(eta(B)),A))),eta(B)))
% -> eta(B) collapsed.
% Rule
% [1395]
% t(eta(A),quotient(eta(quotient(eta(B),quotient(j(eta(A)),B))),eta(A))) ->
% quotient(eta(B),eta(A)) collapsed.
% Rule
% [1424]
% quotient(quotient(eta(quotient(eta(A),quotient(j(eta(B)),A))),eta(B)),A) ->
% i(quotient(eta(A),quotient(j(eta(B)),A))) collapsed.
% Rule
% [1467]
% quotient(eta(quotient(quotient(quotient(eta(A),quotient(B,A)),eta(B)),j(B))),
% eta(B)) -> quotient(eta(quotient(eta(A),quotient(j(eta(B)),A))),eta(B))
% collapsed.
% Rule
% [1484]
% quotient(eta(quotient(quotient(quotient(eta(A),quotient(i(B),i(A))),eta(B)),B)),
% eta(B)) -> quotient(eta(quotient(eta(A),quotient(j(eta(B)),A))),eta(B))
% collapsed.
% Rule
% [1485]
% quotient(eta(quotient(quotient(quotient(eta(A),quotient(i(B),j(A))),eta(B)),B)),
% eta(B)) -> quotient(eta(quotient(eta(A),quotient(j(eta(B)),A))),eta(B))
% collapsed.
% Rule
% [1512]
% t(eta(A),quotient(B,quotient(eta(quotient(eta(C),quotient(j(eta(A)),C))),
% eta(A)))) <->
% quotient(t(eta(A),B),quotient(eta(C),eta(A))) collapsed.
% Rule
% [1515]
% t(eta(A),quotient(quotient(eta(quotient(eta(B),quotient(j(eta(A)),B))),
% eta(A)),C)) ->
% quotient(quotient(eta(B),eta(A)),t(eta(A),C)) collapsed.
% Rule
% [1518]
% t(eta(A),difference(quotient(eta(quotient(eta(B),quotient(j(eta(A)),B))),
% eta(A)),C)) ->
% difference(quotient(eta(B),eta(A)),t(eta(A),C)) collapsed.
% Rule
% [1519]
% t(j(j(A)),quotient(eta(quotient(eta(B),quotient(j(eta(A)),B))),eta(A))) <->
% quotient(quotient(eta(A),quotient(j(eta(B)),A)),j(j(A))) collapsed.
% Rule
% [1713]
% quotient(eta(A),i(quotient(quotient(difference(i(i(B)),quotient(quotient(
% eta(quotient(
% eta(A),
% i(
% i(B)))),
% j(eta(B))),
% i(i(B)))),i(B)),
% eta(B)))) -> j(j(quotient(eta(A),i(i(B))))) collapsed.
% Rule
% [1732]
% quotient(quotient(quotient(eta(A),quotient(i(quotient(eta(quotient(A,j(A))),A)),A)),A),
% i(quotient(A,j(A)))) -> A collapsed.
% Rule
% [1816]
% quotient(eta(A),i(quotient(quotient(difference(i(i(i(B))),quotient(quotient(
% eta(
% quotient(
% eta(A),
% i(
% i(i(B))))),
% j(
% eta(B))),
% i(i(i(B))))),
% i(i(B))),eta(B)))) ->
% j(j(quotient(eta(A),i(i(i(B)))))) collapsed.
% Rule
% [2497]
% quotient(quotient(eta(quotient(A,j(A))),A),quotient(eta(A),quotient(i(
% quotient(
% eta(
% quotient(A,
% j(A))),A)),A)))
% -> i(A) collapsed.
% Rule
% [2641]
% t(t(eta(A),B),quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))) ->
% t(eta(A),t(B,quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A)))) collapsed.
% Rule
% [2642]
% t(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),eta(A)),
% t(eta(A),B)) ->
% t(eta(A),t(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A)),B)) collapsed.
% Rule
% [2643]
% quotient(t(eta(A),B),quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))) ->
% t(eta(A),quotient(B,quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A)))) collapsed.
% Rule
% [2644]
% quotient(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),eta(A)),
% t(eta(A),B)) ->
% t(eta(A),quotient(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A)),B)) collapsed.
% Rule
% [2645]
% t(eta(A),quotient(eta(quotient(quotient(quotient(j(A),j(j(A))),eta(A)),j(A))),
% eta(A))) ->
% quotient(eta(quotient(quotient(quotient(j(A),j(j(A))),eta(A)),j(A))),eta(A))
% collapsed.
% Rule
% [2646]
% t(eta(A),quotient(eta(A),quotient(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)),eta(A)))) ->
% quotient(eta(A),quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))) collapsed.
% Rule
% [2647]
% t(eta(A),quotient(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A)),eta(A))) ->
% quotient(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),eta(A)),
% eta(A)) collapsed.
% Rule
% [2648]
% t(eta(A),quotient(eta(quotient(quotient(t(A,i(quotient(A,j(A)))),eta(A)),
% i(A))),eta(A))) ->
% quotient(eta(quotient(quotient(t(A,i(quotient(A,j(A)))),eta(A)),i(A))),
% eta(A)) collapsed.
% Rule
% [2649]
% t(eta(A),quotient(j(eta(A)),quotient(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)),eta(A)))) ->
% quotient(j(eta(A)),quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))) collapsed.
% Rule
% [2650]
% t(eta(A),difference(j(eta(A)),quotient(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)),eta(A)))) ->
% difference(j(eta(A)),quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))) collapsed.
% Rule
% [2664]
% t(quotient(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A)),eta(A)),eta(A)) -> eta(A) collapsed.
% Rule
% [2672]
% difference(j(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))),t(eta(A),B)) ->
% t(eta(A),difference(j(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))),B)) collapsed.
% Rule
% [2673]
% quotient(t(eta(A),B),j(quotient(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)),eta(A)))) ->
% t(eta(A),quotient(B,j(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))))) collapsed.
% Rule
% [2674]
% quotient(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),eta(A)),
% j(t(eta(A),B))) ->
% t(eta(A),quotient(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A)),j(B))) collapsed.
% Rule
% [2675]
% quotient(j(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))),t(eta(A),B)) ->
% t(eta(A),quotient(j(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))),B)) collapsed.
% Rule
% [2676]
% quotient(j(t(eta(A),B)),quotient(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)),eta(A))) ->
% t(eta(A),quotient(j(B),quotient(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)),eta(A)))) collapsed.
% Rule
% [2677]
% difference(i(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))),t(eta(A),B)) ->
% t(eta(A),difference(i(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))),B)) collapsed.
% Rule
% [2678]
% quotient(t(eta(A),B),i(quotient(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)),eta(A)))) ->
% t(eta(A),quotient(B,i(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))))) collapsed.
% Rule
% [2679]
% quotient(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),eta(A)),
% i(t(eta(A),B))) ->
% t(eta(A),quotient(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A)),i(B))) collapsed.
% Rule
% [2680]
% quotient(i(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))),t(eta(A),B)) ->
% t(eta(A),quotient(i(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))),B)) collapsed.
% Rule
% [2681]
% quotient(i(t(eta(A),B)),quotient(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)),eta(A))) ->
% t(eta(A),quotient(i(B),quotient(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)),eta(A)))) collapsed.
% Rule
% [2682]
% t(eta(A),quotient(eta(A),j(quotient(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)),eta(A))))) ->
% quotient(eta(A),j(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A)))) collapsed.
% Rule
% [2683]
% t(eta(A),quotient(j(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))),eta(A))) ->
% quotient(j(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))),eta(A)) collapsed.
% Rule
% [2684]
% t(eta(A),quotient(i(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))),eta(A))) ->
% quotient(i(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A))),eta(A)) collapsed.
% Rule
% [2693]
% quotient(eta(quotient(j(eta(A)),quotient(eta(A),j(eta(A))))),eta(A)) ->
% j(eta(A)) collapsed.
% Rule
% [2813]
% t(eta(A),quotient(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),
% eta(A)),quotient(j(quotient(i(quotient(eta(B),quotient(
% j(A),B))),
% j(eta(A)))),j(j(A))))) ->
% quotient(quotient(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)),eta(A)),
% quotient(B,eta(A))) collapsed.
% Rule
% [2819]
% t(eta(A),difference(j(B),quotient(eta(quotient(eta(quotient(quotient(
% quotient(A,
% j(A)),eta(A)),A)),
% quotient(j(eta(A)),quotient(quotient(
% quotient(A,
% j(A)),
% eta(A)),A)))),
% eta(A)))) ->
% t(eta(A),difference(j(B),quotient(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)),eta(A))))
% collapsed.
% Rule
% [2820]
% t(eta(t(eta(A),B)),quotient(eta(quotient(quotient(t(eta(A),quotient(B,j(B))),
% eta(t(eta(A),B))),t(eta(A),B))),
% eta(t(eta(A),B)))) ->
% quotient(eta(quotient(quotient(t(eta(A),quotient(B,j(B))),eta(t(eta(A),B))),
% t(eta(A),B))),eta(t(eta(A),B))) collapsed.
% Rule
% [2821]
% t(eta(A),difference(i(B),quotient(eta(quotient(eta(quotient(quotient(
% quotient(A,
% j(A)),eta(A)),A)),
% quotient(j(eta(A)),quotient(quotient(
% quotient(A,
% j(A)),
% eta(A)),A)))),
% eta(A)))) ->
% t(eta(A),difference(i(B),quotient(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)),eta(A))))
% collapsed.
% Current number of equations to process: 897
% Current number of ordered equations: 0
% Current number of rules: 1297
% New rule produced :
% [2838]
% quotient(quotient(quotient(A,j(eta(B))),j(A)),A) -> quotient(A,j(eta(B)))
% Current number of equations to process: 896
% Current number of ordered equations: 0
% Current number of rules: 1298
% New rule produced :
% [2839] quotient(t(quotient(eta(A),B),B),j(quotient(eta(A),B))) -> eta(A)
% Current number of equations to process: 895
% Current number of ordered equations: 0
% Current number of rules: 1299
% New rule produced :
% [2840]
% quotient(quotient(eta(A),B),j(t(eta(A),B))) -> t(eta(A),t(j(B),eta(A)))
% Current number of equations to process: 894
% Current number of ordered equations: 0
% Current number of rules: 1300
% New rule produced :
% [2841]
% quotient(eta(A),t(B,quotient(i(B),j(eta(A))))) ->
% t(t(B,quotient(i(B),j(eta(A)))),B)
% Current number of equations to process: 896
% Current number of ordered equations: 0
% Current number of rules: 1301
% New rule produced :
% [2842]
% quotient(quotient(quotient(eta(A),B),quotient(j(B),quotient(eta(A),B))),
% eta(A)) -> quotient(eta(A),B)
% Current number of equations to process: 895
% Current number of ordered equations: 0
% Current number of rules: 1302
% New rule produced :
% [2843]
% t(eta(A),quotient(j(eta(A)),j(eta(quotient(j(t(eta(A),t(A,i(quotient(A,j(A)))))),A)))))
% -> one
% Current number of equations to process: 894
% Current number of ordered equations: 0
% Current number of rules: 1303
% New rule produced :
% [2844]
% quotient(j(t(eta(A),quotient(B,j(eta(A))))),quotient(j(B),quotient(eta(A),B)))
% -> j(B)
% Current number of equations to process: 893
% Current number of ordered equations: 0
% Current number of rules: 1304
% Rule [2276]
% quotient(difference(A,quotient(difference(i(quotient(A,j(A))),difference(
% j(A),
% quotient(A,
% j(A)))),
% quotient(A,j(A)))),A) ->
% quotient(t(A,quotient(A,t(A,quotient(i(A),j(eta(quotient(A,j(A)))))))),A) is composed into
% [2276]
% quotient(difference(A,quotient(difference(i(quotient(A,j(A))),difference(
% j(A),quotient(A,
% j(A)))),
% quotient(A,j(A)))),A) ->
% quotient(t(A,quotient(A,j(A))),A)
% New rule produced :
% [2845]
% t(A,quotient(A,t(A,quotient(i(A),j(eta(quotient(A,j(A)))))))) ->
% t(A,quotient(A,j(A)))
% Current number of equations to process: 892
% Current number of ordered equations: 0
% Current number of rules: 1305
% New rule produced :
% [2846]
% difference(t(quotient(A,j(eta(B))),A),quotient(quotient(A,j(eta(B))),j(A)))
% -> quotient(A,j(eta(B)))
% Current number of equations to process: 891
% Current number of ordered equations: 0
% Current number of rules: 1306
% New rule produced :
% [2847]
% quotient(quotient(eta(A),B),t(eta(A),t(j(B),eta(A)))) ->
% t(eta(A),t(t(j(B),eta(A)),j(B)))
% Current number of equations to process: 890
% Current number of ordered equations: 0
% Current number of rules: 1307
% New rule produced :
% [2848]
% quotient(t(t(quotient(eta(A),B),B),quotient(eta(A),B)),j(t(quotient(eta(A),B),B)))
% -> eta(A)
% Current number of equations to process: 889
% Current number of ordered equations: 0
% Current number of rules: 1308
% New rule produced :
% [2849]
% difference(j(eta(A)),i(i(i(i(i(i(i(i(i(A)))))))))) ->
% i(i(i(i(i(i(i(i(i(i(i(A)))))))))))
% Current number of equations to process: 888
% Current number of ordered equations: 0
% Current number of rules: 1309
% New rule produced :
% [2850]
% t(eta(A),quotient(j(eta(A)),j(eta(quotient(j(eta(A)),quotient(eta(A),
% j(eta(A)))))))) ->
% j(eta(A))
% Current number of equations to process: 887
% Current number of ordered equations: 0
% Current number of rules: 1310
% New rule produced :
% [2851]
% quotient(t(quotient(A,j(eta(B))),j(eta(B))),quotient(A,quotient(quotient(A,
% j(eta(B))),
% j(A)))) -> A
% Current number of equations to process: 886
% Current number of ordered equations: 0
% Current number of rules: 1311
% New rule produced :
% [2852]
% quotient(eta(A),t(eta(B),quotient(j(eta(B)),j(eta(quotient(eta(A),quotient(
% j(eta(B)),A)))))))
% -> eta(B)
% Current number of equations to process: 885
% Current number of ordered equations: 0
% Current number of rules: 1312
% New rule produced :
% [2853]
% t(j(eta(A)),quotient(j(eta(A)),t(j(B),quotient(B,j(eta(quotient(B,j(eta(A)))))))))
% -> t(j(eta(A)),quotient(j(eta(A)),B))
% Current number of equations to process: 884
% Current number of ordered equations: 0
% Current number of rules: 1313
% New rule produced :
% [2854]
% t(eta(A),quotient(t(eta(A),t(j(B),quotient(B,j(eta(A))))),t(quotient(
% eta(A),B),B))) ->
% eta(A)
% Current number of equations to process: 883
% Current number of ordered equations: 0
% Current number of rules: 1314
% New rule produced :
% [2855]
% difference(t(quotient(eta(A),B),eta(A)),quotient(quotient(eta(A),B),quotient(
% j(B),
% quotient(
% eta(A),B))))
% -> quotient(eta(A),B)
% Current number of equations to process: 882
% Current number of ordered equations: 0
% Current number of rules: 1315
% New rule produced :
% [2856]
% t(eta(A),t(eta(A),quotient(j(eta(A)),j(eta(quotient(eta(B),quotient(j(eta(A)),B)))))))
% -> quotient(eta(B),eta(A))
% Current number of equations to process: 881
% Current number of ordered equations: 0
% Current number of rules: 1316
% New rule produced :
% [2857]
% quotient(quotient(quotient(A,j(eta(B))),j(A)),t(quotient(A,j(eta(B))),A)) ->
% t(t(quotient(A,j(eta(B))),A),quotient(A,j(eta(B))))
% Current number of equations to process: 880
% Current number of ordered equations: 0
% Current number of rules: 1317
% New rule produced :
% [2858]
% quotient(i(i(i(i(i(i(i(i(i(A))))))))),j(eta(A))) ->
% t(j(eta(A)),i(i(i(i(i(i(i(i(i(i(i(A))))))))))))
% Current number of equations to process: 879
% Current number of ordered equations: 0
% Current number of rules: 1318
% New rule produced :
% [2859]
% quotient(t(eta(B),quotient(j(eta(B)),j(eta(quotient(eta(A),quotient(j(eta(B)),A)))))),A)
% -> i(quotient(eta(A),quotient(j(eta(B)),A)))
% Current number of equations to process: 878
% Current number of ordered equations: 0
% Current number of rules: 1319
% New rule produced :
% [2860]
% t(eta(A),t(quotient(quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,
% j(A)),
% eta(A)),A)))),eta(A)),
% eta(A))) -> eta(A)
% Current number of equations to process: 877
% Current number of ordered equations: 0
% Current number of rules: 1320
% New rule produced :
% [2861]
% quotient(quotient(quotient(eta(A),quotient(i(t(A,quotient(i(A),j(eta(
% quotient(A,
% j(A))))))),A)),A),
% i(quotient(A,j(A)))) -> A
% Current number of equations to process: 876
% Current number of ordered equations: 0
% Current number of rules: 1321
% New rule produced :
% [2862]
% difference(t(t(quotient(A,j(eta(B))),A),quotient(A,j(eta(B)))),quotient(
% quotient(A,
% j(eta(B))),
% j(A))) ->
% t(quotient(A,j(eta(B))),A)
% Current number of equations to process: 875
% Current number of ordered equations: 0
% Current number of rules: 1322
% New rule produced :
% [2863]
% quotient(quotient(quotient(eta(A),B),quotient(j(B),quotient(eta(A),B))),
% t(quotient(eta(A),B),eta(A))) ->
% t(t(quotient(eta(A),B),eta(A)),quotient(eta(A),B))
% Current number of equations to process: 874
% Current number of ordered equations: 0
% Current number of rules: 1323
% New rule produced :
% [2864]
% quotient(quotient(quotient(eta(A),B),quotient(j(t(eta(A),B)),quotient(
% eta(A),B))),
% t(eta(A),t(j(B),eta(A)))) -> quotient(eta(A),B)
% Current number of equations to process: 873
% Current number of ordered equations: 0
% Current number of rules: 1324
% New rule produced :
% [2865]
% quotient(i(i(i(i(i(i(i(A))))))),quotient(eta(A),t(j(eta(A)),i(i(i(i(i(
% i(
% i(i(A)))))))))))
% -> eta(A)
% Current number of equations to process: 872
% Current number of ordered equations: 0
% Current number of rules: 1325
% New rule produced :
% [2866]
% t(eta(A),quotient(B,t(eta(A),quotient(j(eta(A)),j(eta(quotient(eta(C),
% quotient(j(eta(A)),C))))))))
% <-> quotient(t(eta(A),B),quotient(eta(C),eta(A)))
% Current number of equations to process: 871
% Current number of ordered equations: 1
% Current number of rules: 1326
% New rule produced :
% [2867]
% quotient(t(eta(A),B),quotient(eta(C),eta(A))) <->
% t(eta(A),quotient(B,t(eta(A),quotient(j(eta(A)),j(eta(quotient(eta(C),
% quotient(j(eta(A)),C))))))))
% Current number of equations to process: 871
% Current number of ordered equations: 0
% Current number of rules: 1327
% New rule produced :
% [2868]
% t(eta(A),quotient(t(eta(A),quotient(j(eta(A)),j(eta(quotient(eta(B),quotient(
% j(
% eta(A)),B)))))),C))
% -> quotient(quotient(eta(B),eta(A)),t(eta(A),C))
% Current number of equations to process: 870
% Current number of ordered equations: 0
% Current number of rules: 1328
% New rule produced :
% [2869]
% t(eta(A),t(eta(A),difference(quotient(j(eta(A)),j(eta(quotient(eta(B),
% quotient(j(eta(A)),B))))),
% quotient(j(quotient(i(quotient(eta(quotient(C,j(eta(A)))),
% quotient(j(A),quotient(C,j(eta(A)))))),
% j(eta(A)))),j(j(A)))))) ->
% difference(quotient(eta(B),eta(A)),t(eta(A),C))
% Current number of equations to process: 869
% Current number of ordered equations: 0
% Current number of rules: 1329
% New rule produced :
% [2870]
% quotient(quotient(eta(A),quotient(i(i(i(i(i(i(i(i(A)))))))),eta(A))),
% i(i(i(i(i(i(i(i(i(A)))))))))) -> eta(A)
% Current number of equations to process: 868
% Current number of ordered equations: 0
% Current number of rules: 1330
% New rule produced :
% [2871]
% quotient(eta(A),quotient(t(eta(B),quotient(i(quotient(eta(C),quotient(
% j(eta(B)),C))),B)),A))
% -> quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(C),B))),A))
% Current number of equations to process: 867
% Current number of ordered equations: 0
% Current number of rules: 1331
% New rule produced :
% [2872]
% difference(t(t(quotient(eta(A),B),eta(A)),quotient(eta(A),B)),quotient(
% quotient(
% eta(A),B),
% quotient(
% j(B),quotient(
% eta(A),B))))
% -> t(quotient(eta(A),B),eta(A))
% Current number of equations to process: 866
% Current number of ordered equations: 0
% Current number of rules: 1332
% New rule produced :
% [2873]
% quotient(quotient(quotient(quotient(A,j(eta(B))),j(A)),quotient(A,quotient(
% quotient(A,
% j(eta(B))),
% j(A)))),
% quotient(A,j(eta(B)))) -> quotient(quotient(A,j(eta(B))),j(A))
% Current number of equations to process: 865
% Current number of ordered equations: 0
% Current number of rules: 1333
% New rule produced :
% [2874]
% quotient(t(quotient(A,j(eta(B))),j(eta(B))),t(A,quotient(A,quotient(quotient(A,
% j(
% eta(B))),
% j(A))))) ->
% t(t(A,quotient(A,quotient(quotient(A,j(eta(B))),j(A)))),A)
% Current number of equations to process: 864
% Current number of ordered equations: 0
% Current number of rules: 1334
% New rule produced :
% [2875]
% t(eta(B),quotient(j(eta(B)),j(eta(quotient(quotient(quotient(eta(A),quotient(B,A)),
% eta(B)),j(B)))))) ->
% t(eta(B),quotient(j(eta(B)),j(eta(quotient(eta(A),quotient(j(eta(B)),A))))))
% Current number of equations to process: 863
% Current number of ordered equations: 0
% Current number of rules: 1335
% New rule produced :
% [2876]
% quotient(t(A,quotient(i(A),j(eta(quotient(A,j(A)))))),quotient(eta(A),
% quotient(i(t(A,
% quotient(
% i(A),
% j(eta(
% quotient(A,
% j(A))))))),A)))
% -> i(A)
% Current number of equations to process: 862
% Current number of ordered equations: 0
% Current number of rules: 1336
% New rule produced :
% [2877]
% t(eta(A),t(eta(A),quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)))))) ->
% t(eta(A),quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)))))
% Current number of equations to process: 861
% Current number of ordered equations: 0
% Current number of rules: 1337
% New rule produced :
% [2878]
% quotient(difference(i(quotient(A,j(eta(B)))),quotient(difference(i(A),
% quotient(quotient(A,
% j(eta(B))),
% j(A))),A)),quotient(A,
% j(eta(B))))
% -> quotient(quotient(A,j(eta(B))),j(A))
% Current number of equations to process: 860
% Current number of ordered equations: 0
% Current number of rules: 1338
% New rule produced :
% [2879]
% t(eta(B),quotient(j(eta(B)),j(eta(quotient(quotient(quotient(eta(A),quotient(
% i(B),
% i(A))),
% eta(B)),B))))) ->
% t(eta(B),quotient(j(eta(B)),j(eta(quotient(eta(A),quotient(j(eta(B)),A))))))
% Current number of equations to process: 859
% Current number of ordered equations: 0
% Current number of rules: 1339
% New rule produced :
% [2880]
% t(eta(B),quotient(j(eta(B)),j(eta(quotient(quotient(quotient(eta(A),quotient(
% i(B),
% j(A))),
% eta(B)),B))))) ->
% t(eta(B),quotient(j(eta(B)),j(eta(quotient(eta(A),quotient(j(eta(B)),A))))))
% Current number of equations to process: 858
% Current number of ordered equations: 0
% Current number of rules: 1340
% New rule produced :
% [2881]
% t(eta(A),difference(t(j(eta(A)),quotient(j(eta(A)),B)),quotient(j(eta(A)),
% quotient(t(j(B),
% quotient(B,
% j(eta(
% quotient(B,
% j(eta(A))))))),
% j(eta(A)))))) ->
% j(eta(A))
% Current number of equations to process: 857
% Current number of ordered equations: 0
% Current number of rules: 1341
% New rule produced :
% [2882]
% quotient(quotient(quotient(eta(t(eta(A),B)),t(eta(A),quotient(j(eta(A)),B))),
% j(t(eta(A),B))),t(eta(A),B)) ->
% quotient(eta(t(eta(A),B)),t(eta(A),quotient(j(eta(A)),B)))
% Current number of equations to process: 856
% Current number of ordered equations: 0
% Current number of rules: 1342
% New rule produced :
% [2883]
% quotient(t(t(t(quotient(eta(A),B),B),quotient(eta(A),B)),t(quotient(eta(A),B),B)),
% j(t(t(quotient(eta(A),B),B),quotient(eta(A),B)))) -> eta(A)
% Current number of equations to process: 855
% Current number of ordered equations: 0
% Current number of rules: 1343
% New rule produced :
% [2884]
% t(j(A),quotient(j(A),difference(B,eta(A)))) ->
% t(j(A),quotient(j(A),quotient(eta(quotient(eta(A),quotient(i(B),j(A)))),
% quotient(A,i(quotient(eta(A),quotient(i(B),j(A))))))))
% Current number of equations to process: 854
% Current number of ordered equations: 0
% Current number of rules: 1344
% New rule produced :
% [2885]
% quotient(quotient(quotient(A,j(eta(B))),j(A)),t(t(quotient(A,j(eta(B))),A),
% quotient(A,j(eta(B))))) ->
% t(t(t(quotient(A,j(eta(B))),A),quotient(A,j(eta(B)))),t(quotient(A,j(eta(B))),A))
% Current number of equations to process: 853
% Current number of ordered equations: 0
% Current number of rules: 1345
% New rule produced :
% [2886]
% t(i(A),quotient(i(A),difference(B,eta(A)))) ->
% t(i(A),quotient(i(A),quotient(eta(quotient(eta(A),quotient(i(B),i(A)))),
% quotient(i(i(A)),i(quotient(eta(A),quotient(i(B),i(A))))))))
% Current number of equations to process: 852
% Current number of ordered equations: 0
% Current number of rules: 1346
% New rule produced :
% [2887]
% t(eta(A),t(t(eta(A),quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,
% j(A)),
% eta(A)),A))))),B)) ->
% t(eta(A),t(quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)))),B))
% Current number of equations to process: 850
% Current number of ordered equations: 1
% Current number of rules: 1347
% New rule produced :
% [2888]
% t(eta(A),t(B,t(eta(A),quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,
% j(A)),
% eta(A)),A))))))) ->
% t(eta(A),t(B,quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A))))))
% Current number of equations to process: 850
% Current number of ordered equations: 0
% Current number of rules: 1348
% New rule produced :
% [2889]
% t(eta(A),quotient(t(eta(A),quotient(j(eta(A)),j(eta(quotient(quotient(
% quotient(A,
% j(A)),eta(A)),A))))),B))
% ->
% t(eta(A),quotient(quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)))),B))
% Current number of equations to process: 848
% Current number of ordered equations: 1
% Current number of rules: 1349
% New rule produced :
% [2890]
% t(eta(A),quotient(B,t(eta(A),quotient(j(eta(A)),j(eta(quotient(quotient(
% quotient(A,
% j(A)),
% eta(A)),A)))))))
% ->
% t(eta(A),quotient(B,quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,
% j(A)),
% eta(A)),A))))))
% Current number of equations to process: 848
% Current number of ordered equations: 0
% Current number of rules: 1350
% New rule produced :
% [2891]
% t(eta(A),t(eta(A),quotient(j(eta(A)),j(eta(quotient(quotient(quotient(
% j(A),j(j(A))),
% eta(A)),j(A))))))) ->
% t(eta(A),quotient(j(eta(A)),j(eta(quotient(quotient(quotient(j(A),j(j(A))),
% eta(A)),j(A))))))
% Current number of equations to process: 847
% Current number of ordered equations: 0
% Current number of rules: 1351
% New rule produced :
% [2892]
% t(eta(A),t(eta(A),quotient(eta(A),quotient(j(eta(A)),j(eta(quotient(quotient(
% quotient(A,
% j(A)),
% eta(A)),A)))))))
% ->
% t(eta(A),quotient(eta(A),quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,
% j(A)),
% eta(A)),A))))))
% Current number of equations to process: 846
% Current number of ordered equations: 0
% Current number of rules: 1352
% New rule produced :
% [2893]
% t(eta(A),t(eta(A),quotient(quotient(j(eta(A)),j(eta(quotient(quotient(
% quotient(A,
% j(A)),eta(A)),A)))),
% eta(A)))) ->
% t(eta(A),quotient(quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)))),eta(A)))
% Current number of equations to process: 845
% Current number of ordered equations: 0
% Current number of rules: 1353
% New rule produced :
% [2894]
% quotient(quotient(quotient(eta(A),B),quotient(j(B),quotient(eta(A),B))),
% t(t(quotient(eta(A),B),eta(A)),quotient(eta(A),B))) ->
% t(t(t(quotient(eta(A),B),eta(A)),quotient(eta(A),B)),t(quotient(eta(A),B),
% eta(A)))
% Current number of equations to process: 844
% Current number of ordered equations: 0
% Current number of rules: 1354
% New rule produced :
% [2895]
% t(eta(A),t(eta(A),quotient(j(eta(A)),j(eta(quotient(quotient(t(A,i(quotient(A,
% j(A)))),
% eta(A)),i(A))))))) ->
% t(eta(A),quotient(j(eta(A)),j(eta(quotient(quotient(t(A,i(quotient(A,j(A)))),
% eta(A)),i(A))))))
% Current number of equations to process: 843
% Current number of ordered equations: 0
% Current number of rules: 1355
% New rule produced :
% [2896]
% t(eta(A),t(eta(A),t(quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,
% j(A)),
% eta(A)),A)))),j(
% eta(
% quotient(
% quotient(
% quotient(A,
% j(A)),
% eta(A)),A))))))
% ->
% t(eta(A),t(quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)))),j(eta(quotient(
% quotient(
% quotient(A,
% j(A)),
% eta(A)),A)))))
% Current number of equations to process: 842
% Current number of ordered equations: 0
% Current number of rules: 1356
% New rule produced :
% [2897]
% t(eta(A),t(eta(A),quotient(j(eta(A)),j(quotient(eta(A),j(eta(quotient(
% quotient(
% quotient(A,
% j(A)),eta(A)),A))))))))
% ->
% t(eta(A),quotient(j(eta(A)),j(quotient(eta(A),j(eta(quotient(quotient(
% quotient(A,
% j(A)),eta(A)),A)))))))
% Current number of equations to process: 841
% Current number of ordered equations: 0
% Current number of rules: 1357
% New rule produced :
% [2898]
% t(eta(A),difference(j(t(eta(A),quotient(j(eta(A)),j(eta(quotient(quotient(
% quotient(A,
% j(A)),
% eta(A)),A)))))),B))
% ->
% t(eta(A),difference(j(quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,
% j(A)),
% eta(A)),A))))),B))
% Current number of equations to process: 840
% Current number of ordered equations: 0
% Current number of rules: 1358
% New rule produced :
% [2899]
% t(eta(A),quotient(B,j(t(eta(A),quotient(j(eta(A)),j(eta(quotient(quotient(
% quotient(A,
% j(A)),
% eta(A)),A))))))))
% ->
% t(eta(A),quotient(B,j(quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,
% j(A)),
% eta(A)),A)))))))
% Current number of equations to process: 838
% Current number of ordered equations: 0
% Current number of rules: 1359
% New rule produced :
% [2900]
% t(eta(A),quotient(j(t(eta(A),quotient(j(eta(A)),j(eta(quotient(quotient(
% quotient(A,
% j(A)),
% eta(A)),A)))))),B))
% ->
% t(eta(A),quotient(j(quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,
% j(A)),
% eta(A)),A))))),B))
% Current number of equations to process: 836
% Current number of ordered equations: 0
% Current number of rules: 1360
% New rule produced :
% [2901]
% t(eta(A),difference(i(t(eta(A),quotient(j(eta(A)),j(eta(quotient(quotient(
% quotient(A,
% j(A)),
% eta(A)),A)))))),B))
% ->
% t(eta(A),difference(i(quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,
% j(A)),
% eta(A)),A))))),B))
% Current number of equations to process: 835
% Current number of ordered equations: 0
% Current number of rules: 1361
% New rule produced :
% [2902]
% t(eta(A),quotient(B,i(t(eta(A),quotient(j(eta(A)),j(eta(quotient(quotient(
% quotient(A,
% j(A)),
% eta(A)),A))))))))
% ->
% t(eta(A),quotient(B,i(quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,
% j(A)),
% eta(A)),A)))))))
% Current number of equations to process: 833
% Current number of ordered equations: 0
% Current number of rules: 1362
% New rule produced :
% [2903]
% t(eta(A),quotient(i(t(eta(A),quotient(j(eta(A)),j(eta(quotient(quotient(
% quotient(A,
% j(A)),
% eta(A)),A)))))),B))
% ->
% t(eta(A),quotient(i(quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,
% j(A)),
% eta(A)),A))))),B))
% Current number of equations to process: 831
% Current number of ordered equations: 0
% Current number of rules: 1363
% New rule produced :
% [2904]
% t(eta(A),t(eta(A),quotient(j(quotient(j(eta(A)),j(eta(quotient(quotient(
% quotient(A,
% j(A)),
% eta(A)),A))))),
% eta(A)))) ->
% t(eta(A),quotient(j(quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,
% j(A)),
% eta(A)),A))))),
% eta(A)))
% Current number of equations to process: 830
% Current number of ordered equations: 0
% Current number of rules: 1364
% New rule produced :
% [2905]
% t(eta(A),t(eta(A),quotient(i(quotient(j(eta(A)),j(eta(quotient(quotient(
% quotient(A,
% j(A)),
% eta(A)),A))))),
% eta(A)))) ->
% t(eta(A),quotient(i(quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,
% j(A)),
% eta(A)),A))))),
% eta(A)))
% Current number of equations to process: 829
% Current number of ordered equations: 0
% Current number of rules: 1365
% New rule produced :
% [2906] j(t(eta(A),quotient(i(B),eta(A)))) <-> t(eta(A),quotient(eta(A),i(B)))
% Current number of equations to process: 829
% Current number of ordered equations: 1
% Current number of rules: 1366
% New rule produced :
% [2907] t(eta(A),quotient(eta(A),i(B))) <-> j(t(eta(A),quotient(i(B),eta(A))))
% Current number of equations to process: 829
% Current number of ordered equations: 0
% Current number of rules: 1367
% New rule produced :
% [2908] quotient(quotient(eta(A),j(j(j(B)))),eta(B)) -> quotient(eta(A),j(B))
% Current number of equations to process: 836
% Current number of ordered equations: 0
% Current number of rules: 1368
% New rule produced :
% [2909] quotient(j(quotient(difference(A,eta(B)),j(j(B)))),A) -> j(j(B))
% Current number of equations to process: 835
% Current number of ordered equations: 0
% Current number of rules: 1369
% New rule produced :
% [2910]
% quotient(quotient(eta(A),quotient(j(B),j(j(B)))),B) -> quotient(eta(A),j(B))
% Current number of equations to process: 834
% Current number of ordered equations: 0
% Current number of rules: 1370
% New rule produced :
% [2911]
% quotient(eta(A),i(quotient(quotient(eta(B),quotient(i(C),j(B))),C))) ->
% quotient(eta(A),B)
% Rule
% [1652]
% quotient(eta(A),i(quotient(quotient(eta(A),quotient(i(B),j(A))),B))) -> i(A)
% collapsed.
% Current number of equations to process: 836
% Current number of ordered equations: 0
% Current number of rules: 1370
% New rule produced :
% [2912]
% quotient(eta(A),quotient(difference(j(eta(C)),eta(B)),j(j(B)))) <->
% quotient(quotient(eta(A),j(B)),eta(C))
% Current number of equations to process: 835
% Current number of ordered equations: 1
% Current number of rules: 1371
% New rule produced :
% [2913]
% quotient(quotient(eta(A),j(B)),eta(C)) <->
% quotient(eta(A),quotient(difference(j(eta(C)),eta(B)),j(j(B))))
% Current number of equations to process: 835
% Current number of ordered equations: 0
% Current number of rules: 1372
% New rule produced :
% [2914]
% quotient(quotient(eta(A),quotient(difference(B,eta(C)),j(j(j(C))))),B) ->
% quotient(eta(A),j(j(C)))
% Current number of equations to process: 834
% Current number of ordered equations: 0
% Current number of rules: 1373
% New rule produced :
% [2915]
% quotient(i(quotient(difference(A,eta(B)),j(j(B)))),A) ->
% t(j(B),quotient(B,j(eta(quotient(difference(A,eta(B)),j(j(B)))))))
% Current number of equations to process: 834
% Current number of ordered equations: 0
% Current number of rules: 1374
% New rule produced :
% [2916]
% quotient(quotient(eta(A),quotient(difference(B,eta(C)),j(j(C)))),quotient(
% eta(A),
% j(C))) ->
% t(quotient(eta(A),j(C)),B)
% Current number of equations to process: 833
% Current number of ordered equations: 0
% Current number of rules: 1375
% New rule produced :
% [2917]
% quotient(quotient(A,quotient(eta(B),j(C))),quotient(A,quotient(eta(B),
% quotient(difference(A,
% eta(C)),
% j(j(C)))))) -> A
% Current number of equations to process: 833
% Current number of ordered equations: 0
% Current number of rules: 1376
% New rule produced :
% [2918]
% quotient(quotient(eta(A),quotient(difference(B,eta(C)),j(j(C)))),t(quotient(
% eta(A),
% j(C)),B))
% -> t(t(quotient(eta(A),j(C)),B),quotient(eta(A),j(C)))
% Current number of equations to process: 833
% Current number of ordered equations: 0
% Current number of rules: 1377
% New rule produced :
% [2919]
% quotient(difference(i(quotient(eta(A),j(B))),quotient(difference(i(C),
% quotient(eta(A),
% quotient(difference(C,
% eta(B)),
% j(j(B))))),C)),
% quotient(eta(A),j(B))) ->
% quotient(eta(A),quotient(difference(C,eta(B)),j(j(B))))
% Current number of equations to process: 832
% Current number of ordered equations: 0
% Current number of rules: 1378
% New rule produced :
% [2920]
% quotient(quotient(eta(A),quotient(difference(B,eta(C)),j(j(C)))),t(t(
% quotient(
% eta(A),
% j(C)),B),
% quotient(
% eta(A),
% j(C)))) ->
% t(t(t(quotient(eta(A),j(C)),B),quotient(eta(A),j(C))),t(quotient(eta(A),j(C)),B))
% Current number of equations to process: 831
% Current number of ordered equations: 0
% Current number of rules: 1379
% New rule produced :
% [2921]
% quotient(quotient(eta(A),quotient(i(B),eta(C))),B) ->
% quotient(eta(A),j(eta(C)))
% Current number of equations to process: 832
% Current number of ordered equations: 0
% Current number of rules: 1380
% New rule produced :
% [2922]
% quotient(quotient(A,quotient(eta(B),j(C))),t(A,quotient(A,quotient(eta(B),
% quotient(difference(A,
% eta(C)),
% j(j(C))))))) ->
% t(t(A,quotient(A,quotient(eta(B),quotient(difference(A,eta(C)),j(j(C)))))),A)
% Current number of equations to process: 846
% Current number of ordered equations: 0
% Current number of rules: 1381
% New rule produced :
% [2923] t(j(t(eta(A),B)),eta(A)) -> t(eta(A),t(j(B),eta(A)))
% Current number of equations to process: 854
% Current number of ordered equations: 0
% Current number of rules: 1382
% New rule produced :
% [2924] difference(j(j(t(eta(A),B))),quotient(eta(A),j(B))) -> eta(A)
% Current number of equations to process: 853
% Current number of ordered equations: 0
% Current number of rules: 1383
% New rule produced :
% [2925]
% difference(j(t(eta(A),quotient(eta(A),B))),t(quotient(eta(A),B),B)) -> eta(A)
% Current number of equations to process: 853
% Current number of ordered equations: 0
% Current number of rules: 1384
% New rule produced :
% [2926]
% difference(j(j(j(t(eta(A),B)))),i(t(eta(A),quotient(B,j(B))))) ->
% j(t(eta(A),B))
% Current number of equations to process: 852
% Current number of ordered equations: 0
% Current number of rules: 1385
% New rule produced :
% [2927]
% quotient(i(i(i(i(i(A))))),j(t(j(eta(A)),i(i(i(i(i(i(i(i(A))))))))))) ->
% eta(A)
% Current number of equations to process: 851
% Current number of ordered equations: 0
% Current number of rules: 1386
% New rule produced :
% [2928]
% difference(j(t(eta(A),t(quotient(eta(A),B),B))),t(t(quotient(eta(A),B),B),
% quotient(eta(A),B))) ->
% eta(A)
% Current number of equations to process: 851
% Current number of ordered equations: 0
% Current number of rules: 1387
% New rule produced :
% [2929]
% quotient(i(i(i(i(i(i(i(A))))))),j(t(j(eta(A)),i(i(i(i(i(i(i(i(i(i(A)))))))))))))
% -> eta(A)
% Current number of equations to process: 850
% Current number of ordered equations: 0
% Current number of rules: 1388
% Rule [1852]
% difference(j(A),quotient(eta(A),i(B))) ->
% quotient(quotient(quotient(quotient(eta(A),quotient(i(quotient(eta(
% quotient(
% eta(
% quotient(
% eta(B),
% quotient(A,B))),
% quotient(
% i(A),
% quotient(
% eta(B),
% quotient(A,B))))),
% quotient(i(
% quotient(
% quotient(
% eta(A),
% quotient(
% i(
% quotient(
% eta(B),
% quotient(A,B))),
% i(A))),
% quotient(
% eta(B),
% quotient(A,B)))),
% quotient(eta(
% quotient(
% eta(B),
% quotient(A,B))),
% quotient(i(A),
% quotient(eta(B),
% quotient(A,B))))))),A)),
% i(A)),A),j(A)) is composed into [1852]
% difference(j(A),
% quotient(eta(A),
% i(B))) ->
% quotient(quotient(
% quotient(
% quotient(
% eta(A),
% quotient(
% i(quotient(
% eta(
% quotient(
% eta(
% quotient(
% eta(B),
% quotient(A,B))),
% quotient(
% i(A),
% quotient(
% eta(B),
% quotient(A,B))))),
% quotient(
% i(i(A)),
% quotient(
% eta(
% quotient(
% eta(B),
% quotient(A,B))),
% quotient(
% i(A),
% quotient(
% eta(B),
% quotient(A,B))))))),A)),
% i(A)),A),
% j(A))
% New rule produced :
% [2930] quotient(quotient(eta(A),quotient(i(B),i(A))),B) -> i(A)
% Rule
% [1263]
% quotient(eta(A),i(quotient(quotient(eta(A),quotient(i(B),i(A))),B))) ->
% i(i(i(A))) collapsed.
% Rule
% [1900]
% difference(quotient(eta(A),quotient(i(B),j(j(A)))),quotient(quotient(
% quotient(
% eta(A),quotient(
% i(
% quotient(
% eta(
% quotient(
% eta(
% quotient(B,
% j(B))),
% quotient(
% i(A),
% quotient(B,
% j(B))))),
% quotient(
% i(
% quotient(
% quotient(
% eta(A),
% quotient(
% i(
% quotient(B,
% j(B))),
% i(A))),
% quotient(B,
% j(B)))),
% quotient(
% eta(
% quotient(B,
% j(B))),
% quotient(
% i(A),
% quotient(B,
% j(B))))))),A)),
% i(A)),A)) ->
% quotient(t(B,quotient(eta(A),quotient(i(B),j(j(A))))),j(j(A))) collapsed.
% Current number of equations to process: 858
% Current number of ordered equations: 0
% Current number of rules: 1387
% Rule [1716]
% difference(j(A),quotient(eta(A),quotient(i(B),j(A)))) ->
% quotient(quotient(eta(B),quotient(A,B)),j(A)) is composed into [1716]
% difference(
% j(A),
% quotient(
% eta(A),
% quotient(
% i(B),
% j(A))))
% -> B
% New rule produced : [2931] quotient(quotient(eta(A),quotient(B,A)),j(B)) -> A
% Rule
% [2252]
% t(eta(A),quotient(difference(B,quotient(j(eta(A)),quotient(quotient(eta(B),
% quotient(eta(A),B)),
% j(eta(A))))),quotient(
% j(eta(A)),B)))
% -> t(eta(A),quotient(j(eta(A)),quotient(B,eta(A)))) collapsed.
% Current number of equations to process: 862
% Current number of ordered equations: 0
% Current number of rules: 1387
% Rule [1966]
% quotient(difference(A,i(quotient(A,j(A)))),i(quotient(quotient(A,j(A)),
% j(quotient(A,j(A)))))) ->
% quotient(quotient(quotient(eta(A),quotient(i(quotient(eta(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A))))),
% quotient(i(A),i(quotient(
% quotient(A,
% j(A)),
% j(quotient(A,
% j(A)))))))),A)),A),
% i(quotient(quotient(A,j(A)),j(quotient(A,j(A)))))) is composed into
% [1966]
% quotient(difference(A,i(quotient(A,j(A)))),i(quotient(quotient(A,j(A)),
% j(quotient(A,j(A)))))) ->
% quotient(t(A,quotient(eta(quotient(quotient(A,j(A)),j(quotient(A,j(A))))),
% quotient(i(A),i(quotient(quotient(A,j(A)),j(quotient(A,j(A)))))))),
% i(quotient(quotient(A,j(A)),j(quotient(A,j(A))))))
% Rule [1934]
% quotient(difference(A,quotient(difference(i(quotient(A,j(A))),quotient(
% j(
% j(
% quotient(A,
% j(A)))),
% i(
% quotient(A,
% j(A))))),
% quotient(A,j(A)))),j(j(j(j(quotient(A,j(A)))))))
% ->
% quotient(quotient(quotient(eta(A),quotient(i(quotient(eta(quotient(A,
% j(A))),
% quotient(i(A),j(j(j(
% j(
% quotient(A,
% j(A))))))))),A)),A),
% j(j(j(j(quotient(A,j(A))))))) is composed into [1934]
% quotient(difference(A,
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% quotient(
% j(j(quotient(A,
% j(A)))),
% i(quotient(A,
% j(A))))),
% quotient(A,
% j(A)))),
% j(j(j(j(quotient(A,j(A)))))))
% ->
% quotient(t(A,quotient(
% eta(
% quotient(A,
% j(A))),
% quotient(
% i(A),
% j(j(
% j(
% j(
% quotient(A,
% j(A))))))))),
% j(j(j(j(quotient(A,j(A)))))))
% Rule [1902]
% quotient(difference(A,quotient(difference(i(quotient(A,j(A))),quotient(
% eta(B),
% j(
% eta(
% quotient(A,
% j(A)))))),
% quotient(A,j(A)))),quotient(eta(B),i(i(quotient(A,
% j(A))))))
% ->
% quotient(quotient(quotient(eta(A),quotient(i(quotient(eta(B),i(t(A,
% quotient(
% i(A),
% j(
% eta(
% quotient(A,
% j(A))))))))),A)),A),
% quotient(eta(B),i(i(quotient(A,j(A)))))) is composed into [1902]
% quotient(
% difference(A,
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% quotient(
% eta(B),
% j(eta(
% quotient(A,
% j(A)))))),
% quotient(A,
% j(A)))),
% quotient(
% eta(B),
% i(i(quotient(A,
% j(A))))))
% ->
% quotient(
% t(A,quotient(
% eta(B),
% i(
% t(A,
% quotient(
% i(A),
% j(
% eta(
% quotient(A,
% j(A))))))))),
% quotient(
% eta(B),
% i(i(quotient(A,
% j(A))))))
% Rule [1847]
% quotient(difference(A,j(eta(quotient(A,j(A))))),i(i(i(quotient(A,j(A))))))
% ->
% quotient(quotient(quotient(eta(A),quotient(i(quotient(eta(quotient(A,
% j(A))),
% quotient(i(A),i(i(i(
% quotient(A,
% j(A)))))))),A)),A),
% i(i(i(quotient(A,j(A)))))) is composed into [1847]
% quotient(difference(A,
% j(eta(quotient(A,
% j(A))))),
% i(i(i(quotient(A,j(A))))))
% ->
% quotient(t(A,quotient(
% eta(quotient(A,
% j(A))),
% quotient(
% i(A),i(
% i(
% i(
% quotient(A,
% j(A)))))))),
% i(i(i(quotient(A,j(A))))))
% New rule produced :
% [2932] quotient(quotient(eta(A),quotient(i(B),A)),A) -> t(A,B)
% Rule
% [1543]
% quotient(eta(A),i(quotient(quotient(eta(A),quotient(i(B),A)),A))) ->
% quotient(eta(t(i(i(A)),B)),quotient(j(eta(A)),t(i(i(A)),B))) collapsed.
% Rule
% [1636]
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(A),B))),A)),A)
% -> t(A,quotient(eta(B),quotient(i(A),B))) collapsed.
% Rule
% [1649]
% quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(i(quotient(quotient(
% eta(A),
% quotient(
% i(C),A)),A)),
% quotient(eta(A),quotient(
% i(B),A)))) ->
% quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(i(t(A,C)),quotient(
% eta(A),
% quotient(
% i(B),A))))
% collapsed.
% Rule
% [1789]
% quotient(quotient(quotient(eta(A),quotient(i(quotient(eta(quotient(A,j(A))),
% quotient(i(A),j(quotient(A,j(A)))))),A)),A),
% j(quotient(A,j(A)))) ->
% i(quotient(eta(quotient(A,j(A))),quotient(i(A),j(quotient(A,j(A))))))
% collapsed.
% Rule
% [2861]
% quotient(quotient(quotient(eta(A),quotient(i(t(A,quotient(i(A),j(eta(
% quotient(A,
% j(A))))))),A)),A),
% i(quotient(A,j(A)))) -> A collapsed.
% Current number of equations to process: 864
% Current number of ordered equations: 0
% Current number of rules: 1383
% New rule produced :
% [2933] quotient(quotient(eta(A),quotient(i(B),j(A))),B) -> j(A)
% Rule
% [2911]
% quotient(eta(A),i(quotient(quotient(eta(B),quotient(i(C),j(B))),C))) ->
% quotient(eta(A),B) collapsed.
% Current number of equations to process: 864
% Current number of ordered equations: 0
% Current number of rules: 1383
% New rule produced :
% [2934]
% quotient(t(A,quotient(i(A),j(eta(difference(A,i(B)))))),B) ->
% difference(A,i(B))
% Current number of equations to process: 863
% Current number of ordered equations: 0
% Current number of rules: 1384
% New rule produced :
% [2935]
% quotient(quotient(eta(quotient(i(A),B)),t(quotient(i(A),B),B)),A) ->
% quotient(i(A),B)
% Current number of equations to process: 862
% Current number of ordered equations: 0
% Current number of rules: 1385
% Rule [2778]
% difference(i(quotient(j(A),j(j(A)))),quotient(j(j(A)),quotient(j(A),
% j(j(A))))) ->
% quotient(quotient(eta(t(i(i(A)),i(quotient(j(A),j(j(A)))))),quotient(
% j(eta(A)),
% t(i(i(A)),
% i(quotient(
% j(A),
% j(
% j(A))))))),
% j(j(A))) is composed into [2778]
% difference(i(quotient(j(A),j(j(A)))),quotient(
% j(
% j(A)),
% quotient(
% j(A),
% j(
% j(A)))))
% ->
% quotient(quotient(eta(A),i(t(A,i(quotient(
% j(A),
% j(j(A))))))),
% j(j(A)))
% New rule produced :
% [2936]
% quotient(eta(t(i(i(A)),B)),quotient(j(eta(A)),t(i(i(A)),B))) ->
% quotient(eta(A),i(t(A,B)))
% Current number of equations to process: 861
% Current number of ordered equations: 0
% Current number of rules: 1386
% New rule produced :
% [2937]
% quotient(t(A,t(A,quotient(i(A),j(eta(quotient(A,j(A))))))),i(quotient(A,j(A))))
% -> A
% Current number of equations to process: 860
% Current number of ordered equations: 0
% Current number of rules: 1387
% New rule produced :
% [2938]
% quotient(quotient(A,B),t(A,quotient(A,quotient(eta(B),quotient(i(A),B))))) ->
% t(t(A,quotient(A,quotient(eta(B),quotient(i(A),B)))),A)
% Current number of equations to process: 859
% Current number of ordered equations: 0
% Current number of rules: 1388
% New rule produced :
% [2939]
% quotient(quotient(t(A,B),t(t(A,B),A)),quotient(t(A,B),quotient(eta(A),
% quotient(i(B),A)))) ->
% t(A,B)
% Current number of equations to process: 858
% Current number of ordered equations: 0
% Current number of rules: 1389
% New rule produced :
% [2940]
% quotient(quotient(eta(t(quotient(i(A),B),B)),t(t(quotient(i(A),B),B),
% quotient(i(A),B))),A) ->
% t(quotient(i(A),B),B)
% Current number of equations to process: 857
% Current number of ordered equations: 0
% Current number of rules: 1390
% New rule produced :
% [2941]
% quotient(quotient(eta(A),quotient(i(B),A)),t(t(t(A,B),A),t(A,B))) ->
% t(t(t(t(A,B),A),t(A,B)),t(t(A,B),A))
% Current number of equations to process: 856
% Current number of ordered equations: 0
% Current number of rules: 1391
% New rule produced :
% [2942]
% quotient(quotient(quotient(eta(A),quotient(i(B),A)),quotient(t(A,B),quotient(
% eta(A),
% quotient(
% i(B),A)))),
% t(t(A,B),A)) -> quotient(eta(A),quotient(i(B),A))
% Current number of equations to process: 855
% Current number of ordered equations: 0
% Current number of rules: 1392
% New rule produced :
% [2943]
% quotient(t(A,quotient(eta(quotient(A,j(A))),quotient(i(A),j(quotient(A,j(A)))))),
% j(quotient(A,j(A)))) ->
% i(quotient(eta(quotient(A,j(A))),quotient(i(A),j(quotient(A,j(A))))))
% Current number of equations to process: 854
% Current number of ordered equations: 0
% Current number of rules: 1393
% New rule produced : [2944] quotient(j(quotient(i(A),eta(B))),A) -> eta(B)
% Current number of equations to process: 854
% Current number of ordered equations: 0
% Current number of rules: 1394
% New rule produced :
% [2945]
% quotient(quotient(eta(A),quotient(j(t(eta(B),eta(C))),A)),t(eta(B),eta(C)))
% -> A
% Current number of equations to process: 862
% Current number of ordered equations: 0
% Current number of rules: 1395
% New rule produced :
% [2946]
% quotient(quotient(quotient(A,B),quotient(quotient(A,quotient(eta(B),quotient(
% i(A),B))),
% quotient(A,B))),A) -> quotient(A,B)
% Current number of equations to process: 864
% Current number of ordered equations: 0
% Current number of rules: 1396
% Rule [2322]
% difference(A,j(eta(A))) ->
% quotient(A,quotient(eta(A),i(t(i(A),i(t(A,i(quotient(A,j(A))))))))) is composed into
% [2322]
% difference(A,j(eta(A))) -> quotient(A,quotient(eta(A),i(quotient(A,j(A)))))
% Rule [2292]
% quotient(i(i(A)),quotient(eta(A),i(t(i(i(i(A))),i(t(i(i(A)),i(t(
% i(A),
% i(
% t(A,
% i(
% quotient(A,
% j(A)))))))))))))
% ->
% quotient(i(i(A)),quotient(eta(A),i(t(i(A),i(t(A,i(quotient(A,j(A))))))))) is composed into
% [2292]
% quotient(i(i(A)),quotient(eta(A),i(t(i(i(i(A))),i(t(i(i(A)),i(t(i(A),
% i(t(A,i(
% quotient(A,
% j(A)))))))))))))
% -> quotient(i(i(A)),quotient(eta(A),i(quotient(A,j(A)))))
% Rule [2273]
% quotient(A,quotient(i(i(A)),quotient(j(eta(A)),i(i(A))))) ->
% quotient(A,quotient(eta(A),i(t(i(A),i(t(A,i(quotient(A,j(A))))))))) is composed into
% [2273]
% quotient(A,quotient(i(i(A)),quotient(j(eta(A)),i(i(A))))) ->
% quotient(A,quotient(eta(A),i(quotient(A,j(A)))))
% Rule [2116]
% difference(j(eta(A)),i(i(i(i(A))))) ->
% t(eta(A),quotient(j(eta(A)),quotient(eta(quotient(A,quotient(eta(A),
% i(t(i(A),i(t(A,
% i(
% quotient(A,
% j(A)))))))))),
% quotient(i(j(eta(A))),quotient(A,quotient(
% eta(A),
% i(t(
% i(A),
% i(
% t(A,
% i(
% quotient(A,
% j(A))))))))))))) is composed into
% [2116]
% difference(j(eta(A)),i(i(i(i(A))))) ->
% t(eta(A),quotient(j(eta(A)),quotient(eta(quotient(A,quotient(eta(A),i(
% quotient(A,
% j(A)))))),
% quotient(i(j(eta(A))),quotient(A,quotient(
% eta(A),i(
% quotient(A,
% j(A)))))))))
% New rule produced :
% [2947]
% quotient(eta(A),i(t(i(A),i(t(A,i(quotient(A,j(A)))))))) ->
% quotient(eta(A),i(quotient(A,j(A))))
% Rule
% [2243]
% quotient(i(i(i(A))),t(quotient(eta(A),i(t(i(A),i(t(A,i(quotient(A,j(A)))))))),
% i(t(i(A),i(t(A,i(quotient(A,j(A))))))))) -> i(i(A))
% collapsed.
% Rule
% [2324]
% quotient(quotient(A,quotient(eta(A),i(t(i(A),i(t(A,i(quotient(A,j(A))))))))),
% j(eta(A))) -> quotient(j(j(A)),quotient(eta(A),i(quotient(A,j(A)))))
% collapsed.
% Rule
% [2472]
% difference(quotient(i(i(A)),quotient(eta(A),i(t(i(A),i(t(A,i(quotient(A,j(A))))))))),
% t(eta(A),quotient(A,quotient(eta(quotient(j(eta(A)),quotient(quotient(A,
% quotient(
% eta(A),i(
% t(
% i(A),
% i(
% t(A,
% i(
% quotient(A,
% j(A))))))))),
% eta(A)))),quotient(
% i(A),quotient(
% j(
% eta(A)),
% quotient(
% quotient(A,
% quotient(
% eta(A),
% i(
% t(
% i(A),
% i(
% t(A,
% i(
% quotient(A,
% j(A))))))))),
% eta(A))))))))
% -> j(eta(A)) collapsed.
% Rule
% [2548]
% t(eta(A),quotient(j(eta(A)),quotient(quotient(A,quotient(eta(A),i(t(i(A),
% i(t(A,
% i(
% quotient(A,
% j(A))))))))),
% eta(A)))) -> i(i(i(i(i(i(A)))))) collapsed.
% Rule
% [2771]
% t(eta(A),quotient(quotient(A,quotient(eta(quotient(j(eta(A)),quotient(
% eta(quotient(A,
% quotient(
% eta(A),
% i(t(
% i(A),
% i(
% t(A,
% i(
% quotient(A,
% j(A)))))))))),
% quotient(
% eta(A),quotient(A,
% quotient(
% eta(A),
% i(
% t(
% i(A),
% i(
% t(A,
% i(
% quotient(A,
% j(A))))))))))))),
% quotient(i(A),quotient(j(eta(A)),quotient(
% eta(quotient(A,
% quotient(
% eta(A),
% i(t(
% i(A),
% i(
% t(A,
% i(
% quotient(A,
% j(A)))))))))),
% quotient(
% eta(A),
% quotient(A,
% quotient(
% eta(A),
% i(t(i(A),
% i(t(A,
% i(quotient(A,
% j(A))))))))))))))),
% j(A))) -> quotient(eta(A),j(eta(A))) collapsed.
% Current number of equations to process: 877
% Current number of ordered equations: 0
% Current number of rules: 1392
% New rule produced :
% [2948]
% quotient(quotient(A,quotient(eta(A),i(quotient(A,j(A))))),j(eta(A))) ->
% quotient(j(j(A)),quotient(eta(A),i(quotient(A,j(A)))))
% Current number of equations to process: 876
% Current number of ordered equations: 0
% Current number of rules: 1393
% New rule produced :
% [2949]
% t(eta(A),quotient(j(eta(A)),quotient(quotient(A,quotient(eta(A),i(quotient(A,
% j(A))))),
% eta(A)))) -> i(i(i(i(i(i(A))))))
% Current number of equations to process: 875
% Current number of ordered equations: 0
% Current number of rules: 1394
% New rule produced :
% [2950]
% quotient(eta(A),i(quotient(eta(A),quotient(i(B),i(A))))) <->
% quotient(eta(A),quotient(i(B),i(i(i(A)))))
% Rule
% [1874]
% quotient(eta(A),i(quotient(quotient(difference(i(B),quotient(eta(quotient(
% eta(A),
% i(B))),
% i(quotient(eta(quotient(
% eta(A),
% i(B))),
% quotient(i(B),i(
% quotient(
% eta(A),
% i(B)))))))),B),
% i(quotient(eta(A),i(B)))))) -> j(j(quotient(eta(A),i(B))))
% collapsed.
% Current number of equations to process: 882
% Current number of ordered equations: 1
% Current number of rules: 1394
% New rule produced :
% [2951]
% quotient(eta(A),quotient(i(B),i(i(i(A))))) <->
% quotient(eta(A),i(quotient(eta(A),quotient(i(B),i(A)))))
% Current number of equations to process: 882
% Current number of ordered equations: 0
% Current number of rules: 1395
% New rule produced :
% [2952]
% quotient(eta(A),quotient(B,i(i(A)))) <->
% quotient(eta(A),i(quotient(eta(A),quotient(B,A))))
% Rule
% [1116]
% quotient(eta(A),quotient(i(B),i(i(A)))) <->
% quotient(eta(A),i(quotient(eta(A),quotient(i(B),A)))) collapsed.
% Rule [1405] quotient(eta(B),quotient(j(eta(B)),i(i(B)))) -> B collapsed.
% Rule
% [1604]
% quotient(j(quotient(i(quotient(eta(A),quotient(j(A),i(i(A))))),j(eta(A)))),
% j(j(A))) -> A collapsed.
% Current number of equations to process: 889
% Current number of ordered equations: 1
% Current number of rules: 1393
% New rule produced :
% [2953]
% quotient(eta(A),i(quotient(eta(A),quotient(B,A)))) <->
% quotient(eta(A),quotient(B,i(i(A))))
% Rule
% [1115]
% quotient(eta(A),i(quotient(eta(A),quotient(i(B),A)))) <->
% quotient(eta(A),quotient(i(B),i(i(A)))) collapsed.
% Current number of equations to process: 889
% Current number of ordered equations: 0
% Current number of rules: 1393
% New rule produced :
% [2954]
% quotient(j(quotient(i(quotient(eta(A),i(quotient(eta(A),i(quotient(A,j(A))))))),
% j(eta(A)))),j(j(A))) -> A
% Current number of equations to process: 892
% Current number of ordered equations: 0
% Current number of rules: 1394
% New rule produced :
% [2955]
% quotient(A,i(t(A,i(quotient(A,j(A)))))) ->
% t(i(t(A,i(quotient(A,j(A))))),i(A))
% Current number of equations to process: 894
% Current number of ordered equations: 0
% Current number of rules: 1395
% New rule produced :
% [2956]
% quotient(eta(difference(A,i(B))),quotient(i(B),i(i(difference(A,i(B)))))) <->
% quotient(eta(difference(A,i(B))),i(t(A,quotient(i(A),j(eta(difference(A,i(B))))))))
% Current number of equations to process: 893
% Current number of ordered equations: 1
% Current number of rules: 1396
% New rule produced :
% [2957]
% quotient(eta(difference(A,i(B))),i(t(A,quotient(i(A),j(eta(difference(A,i(B))))))))
% <-> quotient(eta(difference(A,i(B))),quotient(i(B),i(i(difference(A,i(B))))))
% Current number of equations to process: 893
% Current number of ordered equations: 0
% Current number of rules: 1397
% New rule produced :
% [2958]
% quotient(eta(quotient(i(A),B)),i(quotient(eta(quotient(i(A),B)),t(quotient(
% i(A),B),B))))
% -> quotient(eta(quotient(i(A),B)),quotient(i(A),i(i(quotient(i(A),B)))))
% Current number of equations to process: 892
% Current number of ordered equations: 0
% Current number of rules: 1398
% New rule produced :
% [2959]
% quotient(A,t(i(t(A,i(quotient(A,j(A))))),i(A))) ->
% t(t(i(t(A,i(quotient(A,j(A))))),i(A)),i(t(A,i(quotient(A,j(A))))))
% Current number of equations to process: 891
% Current number of ordered equations: 0
% Current number of rules: 1399
% New rule produced :
% [2960]
% quotient(i(i(i(A))),t(quotient(eta(A),i(quotient(A,j(A)))),i(t(i(A),i(
% t(A,
% i(
% quotient(A,
% j(A)))))))))
% -> i(i(A))
% Current number of equations to process: 890
% Current number of ordered equations: 0
% Current number of rules: 1400
% New rule produced :
% [2961]
% t(quotient(eta(A),i(quotient(eta(A),quotient(i(B),A)))),i(quotient(eta(A),
% quotient(i(B),A))))
% <-> t(quotient(eta(A),quotient(i(B),i(i(A)))),quotient(i(B),i(i(A))))
% Current number of equations to process: 889
% Current number of ordered equations: 1
% Current number of rules: 1401
% New rule produced :
% [2962]
% t(quotient(eta(A),quotient(i(B),i(i(A)))),quotient(i(B),i(i(A)))) <->
% t(quotient(eta(A),i(quotient(eta(A),quotient(i(B),A)))),i(quotient(eta(A),
% quotient(i(B),A))))
% Current number of equations to process: 889
% Current number of ordered equations: 0
% Current number of rules: 1402
% New rule produced :
% [2963]
% difference(t(quotient(eta(A),quotient(i(B),A)),A),quotient(quotient(eta(A),
% quotient(i(B),A)),
% quotient(B,quotient(
% eta(A),quotient(
% i(B),A)))))
% -> quotient(eta(A),quotient(i(B),A))
% Current number of equations to process: 888
% Current number of ordered equations: 0
% Current number of rules: 1403
% New rule produced :
% [2964]
% i(i(t(eta(A),quotient(eta(B),j(eta(B)))))) ->
% t(eta(A),quotient(eta(B),j(eta(B))))
% Current number of equations to process: 888
% Current number of ordered equations: 0
% Current number of rules: 1404
% New rule produced :
% [2965] t(i(t(eta(A),B)),eta(A)) -> t(eta(A),t(i(B),eta(A)))
% Current number of equations to process: 888
% Current number of ordered equations: 0
% Current number of rules: 1405
% New rule produced :
% [2966]
% difference(i(quotient(A,B)),quotient(difference(i(B),A),B)) ->
% quotient(A,quotient(B,A))
% Rule
% [679]
% quotient(difference(i(quotient(A,B)),quotient(difference(i(B),A),B)),
% quotient(A,B)) -> A collapsed.
% Rule
% [1522]
% difference(A,difference(i(quotient(A,B)),quotient(difference(i(B),A),B))) ->
% quotient(A,B) collapsed.
% Rule
% [1523]
% quotient(difference(i(quotient(A,B)),quotient(difference(i(B),A),B)),A) ->
% t(A,quotient(A,B)) collapsed.
% Rule
% [1527]
% difference(t(A,quotient(A,B)),difference(i(quotient(A,B)),quotient(difference(
% i(B),A),B)))
% -> A collapsed.
% Rule
% [1532]
% quotient(difference(i(quotient(A,B)),quotient(difference(i(B),A),B)),
% t(A,quotient(A,B))) -> t(t(A,quotient(A,B)),A) collapsed.
% Rule
% [1536]
% difference(t(t(A,quotient(A,B)),A),difference(i(quotient(A,B)),quotient(
% difference(
% i(B),A),B)))
% -> t(A,quotient(A,B)) collapsed.
% Rule
% [1542]
% quotient(difference(i(quotient(A,B)),quotient(difference(i(B),A),B)),
% t(t(A,quotient(A,B)),A)) -> t(t(t(A,quotient(A,B)),A),t(A,quotient(A,B)))
% collapsed.
% Rule
% [1594]
% quotient(t(A,quotient(A,quotient(eta(B),quotient(i(A),B)))),quotient(
% quotient(A,B),
% difference(
% i(quotient(A,B)),
% quotient(
% difference(
% i(B),A),B)))) ->
% quotient(A,B) collapsed.
% Rule
% [1595]
% difference(t(t(t(A,quotient(A,B)),A),t(A,quotient(A,B))),difference(i(
% quotient(A,B)),
% quotient(difference(
% i(B),A),B)))
% -> t(t(A,quotient(A,B)),A) collapsed.
% Rule
% [1661]
% quotient(difference(i(A),quotient(difference(i(quotient(A,B)),difference(
% i(quotient(A,B)),
% quotient(
% difference(
% i(B),A),B))),
% quotient(A,B))),A) ->
% difference(i(quotient(A,B)),quotient(difference(i(B),A),B)) collapsed.
% Rule
% [1765]
% quotient(quotient(difference(i(quotient(A,B)),quotient(difference(i(B),A),B)),
% quotient(quotient(A,B),difference(i(quotient(A,B)),quotient(
% difference(
% i(B),A),B)))),A)
% -> difference(i(quotient(A,B)),quotient(difference(i(B),A),B)) collapsed.
% Rule
% [1787]
% quotient(difference(i(quotient(A,B)),quotient(difference(i(B),A),B)),
% t(t(t(A,quotient(A,B)),A),t(A,quotient(A,B)))) ->
% t(t(t(t(A,quotient(A,B)),A),t(A,quotient(A,B))),t(t(A,quotient(A,B)),A))
% collapsed.
% Rule
% [1820]
% quotient(difference(i(quotient(t(eta(A),B),quotient(C,eta(A)))),quotient(
% difference(
% i(quotient(C,
% eta(A))),
% t(eta(A),B)),
% quotient(C,
% eta(A)))),
% t(eta(A),quotient(B,quotient(j(quotient(i(quotient(eta(C),quotient(j(A),C))),
% j(eta(A)))),j(j(A)))))) -> t(eta(A),B)
% collapsed.
% Rule
% [2291]
% quotient(difference(i(quotient(A,B)),quotient(difference(i(B),A),B)),
% quotient(eta(A),quotient(i(difference(i(quotient(A,B)),quotient(difference(
% i(B),A),B))),A)))
% -> quotient(quotient(A,quotient(B,A)),quotient(A,quotient(quotient(B,A),A)))
% collapsed.
% Rule
% [2467]
% quotient(quotient(t(A,quotient(A,B)),t(t(A,quotient(A,B)),A)),quotient(
% t(A,quotient(A,B)),
% difference(
% i(quotient(A,B)),
% quotient(
% difference(
% i(B),A),B))))
% -> t(A,quotient(A,B)) collapsed.
% Rule
% [2799]
% quotient(t(A,quotient(A,quotient(eta(B),quotient(i(A),B)))),t(quotient(A,B),
% quotient(
% quotient(A,B),
% difference(
% i(quotient(A,B)),
% quotient(
% difference(
% i(B),A),B))))) ->
% t(t(quotient(A,B),quotient(quotient(A,B),difference(i(quotient(A,B)),
% quotient(difference(i(B),A),B)))),
% quotient(A,B)) collapsed.
% Rule
% [2801]
% quotient(quotient(difference(i(quotient(A,B)),quotient(difference(i(B),A),B)),
% quotient(t(A,quotient(A,B)),difference(i(quotient(A,B)),quotient(
% difference(
% i(B),A),B)))),
% t(t(A,quotient(A,B)),A)) ->
% difference(i(quotient(A,B)),quotient(difference(i(B),A),B)) collapsed.
% Current number of equations to process: 896
% Current number of ordered equations: 0
% Current number of rules: 1389
% New rule produced :
% [2967]
% quotient(eta(A),quotient(i(A),j(j(j(j(A)))))) -> quotient(j(j(A)),i(A))
% Current number of equations to process: 896
% Current number of ordered equations: 0
% Current number of rules: 1390
% New rule produced :
% [2968]
% quotient(eta(quotient(eta(A),i(B))),quotient(B,quotient(eta(A),i(B)))) ->
% quotient(eta(A),j(eta(B)))
% Current number of equations to process: 898
% Current number of ordered equations: 0
% Current number of rules: 1391
% New rule produced :
% [2969]
% quotient(eta(t(A,i(quotient(A,j(A))))),t(t(A,i(quotient(A,j(A)))),A)) -> i(A)
% Current number of equations to process: 897
% Current number of ordered equations: 0
% Current number of rules: 1392
% Rule [2880]
% t(eta(B),quotient(j(eta(B)),j(eta(quotient(quotient(quotient(eta(A),
% quotient(i(B),
% j(A))),eta(B)),B)))))
% ->
% t(eta(B),quotient(j(eta(B)),j(eta(quotient(eta(A),quotient(j(eta(B)),A)))))) is composed into
% [2880]
% t(eta(B),quotient(j(eta(B)),j(eta(quotient(quotient(quotient(eta(A),quotient(
% i(B),
% j(A))),
% eta(B)),B))))) ->
% t(eta(B),quotient(j(eta(B)),j(eta(quotient(A,j(eta(B)))))))
% Rule [2879]
% t(eta(B),quotient(j(eta(B)),j(eta(quotient(quotient(quotient(eta(A),
% quotient(i(B),
% i(A))),eta(B)),B)))))
% ->
% t(eta(B),quotient(j(eta(B)),j(eta(quotient(eta(A),quotient(j(eta(B)),A)))))) is composed into
% [2879]
% t(eta(B),quotient(j(eta(B)),j(eta(quotient(quotient(quotient(eta(A),quotient(
% i(B),
% i(A))),
% eta(B)),B))))) ->
% t(eta(B),quotient(j(eta(B)),j(eta(quotient(A,j(eta(B)))))))
% Rule [2875]
% t(eta(B),quotient(j(eta(B)),j(eta(quotient(quotient(quotient(eta(A),
% quotient(B,A)),
% eta(B)),j(B)))))) ->
% t(eta(B),quotient(j(eta(B)),j(eta(quotient(eta(A),quotient(j(eta(B)),A)))))) is composed into
% [2875]
% t(eta(B),quotient(j(eta(B)),j(eta(quotient(quotient(quotient(eta(A),quotient(B,A)),
% eta(B)),j(B)))))) ->
% t(eta(B),quotient(j(eta(B)),j(eta(quotient(A,j(eta(B)))))))
% Rule [2867]
% quotient(t(eta(A),B),quotient(eta(C),eta(A))) <->
% t(eta(A),quotient(B,t(eta(A),quotient(j(eta(A)),j(eta(quotient(eta(C),
% quotient(j(eta(A)),C)))))))) is composed into
% [2867]
% quotient(t(eta(A),B),quotient(eta(C),eta(A))) ->
% t(eta(A),quotient(B,t(eta(A),quotient(j(eta(A)),j(eta(quotient(C,j(eta(A)))))))))
% Rule [2772]
% quotient(difference(i(quotient(A,quotient(eta(B),quotient(i(A),B)))),
% quotient(eta(A),i(quotient(A,quotient(eta(B),quotient(i(A),B)))))),
% quotient(A,quotient(eta(B),quotient(i(A),B)))) ->
% difference(A,quotient(eta(quotient(A,B)),quotient(j(eta(A)),quotient(A,B)))) is composed into
% [2772]
% quotient(difference(i(quotient(A,quotient(eta(B),quotient(i(A),B)))),
% quotient(eta(A),i(quotient(A,quotient(eta(B),quotient(i(A),B)))))),
% quotient(A,quotient(eta(B),quotient(i(A),B)))) ->
% difference(A,quotient(quotient(A,B),j(eta(A))))
% Rule [1832]
% quotient(eta(A),i(quotient(eta(B),quotient(i(t(eta(A),C)),B)))) <->
% t(eta(A),quotient(eta(quotient(eta(B),quotient(j(eta(A)),B))),quotient(
% i(C),
% quotient(
% eta(B),
% quotient(
% j(
% eta(A)),B))))) is composed into
% [1832]
% quotient(eta(A),i(quotient(eta(B),quotient(i(t(eta(A),C)),B)))) <->
% t(eta(A),quotient(eta(quotient(B,j(eta(A)))),quotient(i(C),quotient(B,
% j(eta(A))))))
% Rule [1824]
% difference(j(quotient(i(A),eta(C))),eta(B)) <->
% quotient(difference(A,quotient(quotient(i(t(eta(C),quotient(i(eta(C)),
% j(eta(quotient(
% eta(B),
% quotient(
% j(eta(C)),B))))))),
% quotient(eta(difference(eta(B),i(
% t(
% eta(C),
% quotient(
% i(
% eta(C)),
% j(
% eta(
% quotient(
% eta(B),
% quotient(
% j(
% eta(C)),B))))))))),
% quotient(i(i(t(eta(C),quotient(i(eta(C)),
% j(eta(quotient(
% eta(B),
% quotient(
% j(eta(C)),B)))))))),
% difference(eta(B),i(t(eta(C),quotient(
% i(eta(C)),
% j(eta(
% quotient(
% eta(B),
% quotient(
% j(
% eta(C)),B))))))))))),
% t(eta(C),quotient(i(eta(C)),j(eta(quotient(
% eta(B),quotient(
% j(
% eta(C)),B)))))))),
% eta(C)) is composed into [1824]
% difference(j(quotient(i(A),eta(C))),eta(B)) <->
% quotient(difference(A,quotient(quotient(
% i(t(eta(C),
% quotient(
% i(eta(C)),
% j(eta(
% quotient(B,
% j(eta(C)))))))),
% quotient(
% eta(difference(
% eta(B),
% i(t(
% eta(C),
% quotient(
% i(
% eta(C)),
% j(
% eta(
% quotient(B,
% j(
% eta(C)))))))))),
% quotient(
% i(i(t(eta(C),
% quotient(
% i(eta(C)),
% j(eta(
% quotient(B,
% j(
% eta(C))))))))),
% difference(
% eta(B),i(
% t(
% eta(C),
% quotient(
% i(
% eta(C)),
% j(
% eta(
% quotient(B,
% j(
% eta(C)))))))))))),
% t(eta(C),quotient(
% i(eta(C)),
% j(eta(quotient(B,
% j(
% eta(C))))))))),
% eta(C))
% Rule [1798]
% quotient(eta(A),i(quotient(quotient(quotient(quotient(eta(A),quotient(
% i(B),A)),
% quotient(B,quotient(eta(A),quotient(
% i(B),A)))),
% eta(A)),A))) ->
% quotient(eta(A),quotient(quotient(i(quotient(eta(B),quotient(j(eta(A)),B))),A),
% eta(A))) is composed into [1798]
% quotient(eta(A),i(quotient(
% quotient(
% quotient(
% quotient(
% eta(A),
% quotient(
% i(B),A)),
% quotient(B,
% quotient(
% eta(A),
% quotient(
% i(B),A)))),
% eta(A)),A)))
% ->
% quotient(eta(A),quotient(
% quotient(
% i(quotient(B,
% j(eta(A)))),A),
% eta(A)))
% Rule [1650]
% difference(B,quotient(quotient(quotient(quotient(eta(B),quotient(i(A),B)),
% quotient(A,quotient(eta(B),quotient(
% i(A),B)))),
% eta(B)),B)) ->
% quotient(eta(A),quotient(j(eta(B)),A)) is composed into [1650]
% difference(B,
% quotient(
% quotient(
% quotient(
% quotient(
% eta(B),quotient(
% i(A),B)),
% quotient(A,
% quotient(
% eta(B),quotient(
% i(A),B)))),
% eta(B)),B)) ->
% quotient(A,
% j(eta(B)))
% Rule [1608]
% quotient(j(quotient(quotient(j(B),eta(A)),j(eta(B)))),j(j(B))) ->
% t(eta(B),quotient(i(eta(B)),j(eta(quotient(eta(A),quotient(j(eta(B)),A)))))) is composed into
% [1608]
% quotient(j(quotient(quotient(j(B),eta(A)),j(eta(B)))),j(j(B))) ->
% t(eta(B),quotient(i(eta(B)),j(eta(quotient(A,j(eta(B)))))))
% Rule [1513]
% quotient(t(eta(A),B),quotient(eta(C),eta(A))) <->
% t(eta(A),quotient(B,t(eta(A),quotient(i(eta(A)),j(eta(quotient(eta(C),
% quotient(j(eta(A)),C)))))))) is composed into
% [1513]
% quotient(t(eta(A),B),quotient(eta(C),eta(A))) ->
% t(eta(A),quotient(B,t(eta(A),quotient(i(eta(A)),j(eta(quotient(C,j(eta(A)))))))))
% Rule [1487]
% quotient(t(eta(A),B),quotient(eta(C),i(V_3))) <->
% t(eta(A),quotient(B,quotient(j(quotient(i(quotient(eta(quotient(
% eta(C),i(
% quotient(
% eta(V_3),
% quotient(
% j(
% eta(A)),V_3))))),
% quotient(j(A),quotient(
% eta(C),i(
% quotient(
% eta(V_3),
% quotient(
% j(
% eta(A)),V_3))))))),
% j(eta(A)))),j(j(A))))) is composed into
% [1487]
% quotient(t(eta(A),B),quotient(eta(C),i(V_3))) <->
% t(eta(A),quotient(B,quotient(j(quotient(i(quotient(eta(quotient(eta(C),
% i(quotient(V_3,
% j(eta(A)))))),
% quotient(j(A),quotient(eta(C),
% i(quotient(V_3,
% j(eta(A)))))))),
% j(eta(A)))),j(j(A)))))
% Rule [1480]
% quotient(difference(i(difference(j(A),B)),quotient(eta(A),i(difference(
% j(A),B)))),
% difference(j(A),B)) ->
% difference(j(A),quotient(eta(B),quotient(j(eta(A)),B))) is composed into
% [1480]
% quotient(difference(i(difference(j(A),B)),quotient(eta(A),i(difference(
% j(A),B)))),
% difference(j(A),B)) -> difference(j(A),quotient(B,j(eta(A))))
% Rule [1478]
% quotient(difference(i(difference(i(A),B)),quotient(eta(A),i(difference(
% i(A),B)))),
% difference(i(A),B)) ->
% difference(i(A),quotient(eta(B),quotient(j(eta(A)),B))) is composed into
% [1478]
% quotient(difference(i(difference(i(A),B)),quotient(eta(A),i(difference(
% i(A),B)))),
% difference(i(A),B)) -> difference(i(A),quotient(B,j(eta(A))))
% Rule [1218]
% quotient(quotient(eta(A),quotient(i(i(i(B))),A)),B) ->
% quotient(eta(A),quotient(j(eta(B)),A)) is composed into [1218]
% quotient(
% quotient(
% eta(A),quotient(
% i(
% i(i(B))),A)),B)
% ->
% quotient(A,
% j(eta(B)))
% Rule [550]
% quotient(difference(i(difference(A,B)),quotient(eta(A),i(difference(A,B)))),
% difference(A,B)) -> difference(A,quotient(eta(B),quotient(j(eta(A)),B))) is composed into
% [550]
% quotient(difference(i(difference(A,B)),quotient(eta(A),i(difference(A,B)))),
% difference(A,B)) -> difference(A,quotient(B,j(eta(A))))
% New rule produced :
% [2970] quotient(eta(A),quotient(j(eta(B)),A)) -> quotient(A,j(eta(B)))
% Rule
% [1270]
% t(eta(A),quotient(eta(B),quotient(j(eta(A)),B))) -> quotient(eta(A),i(B))
% collapsed.
% Rule
% [1309]
% t(eta(A),quotient(eta(A),quotient(eta(B),quotient(j(eta(A)),B)))) ->
% t(eta(A),j(B)) collapsed.
% Rule
% [1373]
% difference(quotient(B,A),quotient(eta(B),quotient(j(eta(quotient(B,A))),B)))
% -> quotient(difference(i(A),j(quotient(i(A),eta(quotient(B,A))))),A)
% collapsed.
% Rule
% [1476]
% t(eta(A),difference(quotient(eta(B),quotient(j(eta(A)),B)),C)) <->
% quotient(quotient(quotient(quotient(i(difference(B,C)),quotient(eta(difference(C,
% i(
% difference(B,C)))),
% quotient(i(i(difference(B,C))),
% difference(C,i(
% difference(B,C)))))),
% difference(B,C)),eta(A)),t(eta(A),B)) collapsed.
% Rule
% [1479]
% difference(difference(A,quotient(eta(B),quotient(j(eta(A)),B))),difference(
% i(difference(A,B)),
% quotient(
% eta(A),
% i(difference(A,B)))))
% -> difference(A,B) collapsed.
% Rule
% [1520]
% quotient(quotient(eta(A),quotient(j(eta(B)),A)),j(j(A))) ->
% t(j(j(A)),t(eta(A),quotient(i(eta(A)),j(eta(quotient(eta(B),quotient(
% j(eta(A)),B)))))))
% collapsed.
% Rule
% [1533]
% quotient(difference(j(eta(A)),difference(A,quotient(eta(B),quotient(j(eta(A)),B)))),
% eta(A)) -> quotient(eta(A),i(difference(A,B))) collapsed.
% Rule
% [1551]
% t(eta(A),quotient(B,quotient(eta(A),quotient(eta(quotient(C,eta(A))),
% quotient(j(eta(A)),quotient(C,eta(A)))))))
% -> t(eta(A),quotient(B,quotient(eta(A),C))) collapsed.
% Rule
% [1552]
% t(eta(A),difference(B,quotient(eta(A),quotient(eta(quotient(C,eta(A))),
% quotient(j(eta(A)),quotient(C,eta(A)))))))
% -> t(eta(A),difference(B,quotient(eta(A),C))) collapsed.
% Rule
% [1563]
% quotient(difference(A,quotient(eta(B),quotient(j(eta(A)),B))),A) ->
% quotient(quotient(eta(difference(A,B)),quotient(j(eta(A)),difference(A,B))),A)
% collapsed.
% Rule
% [1568]
% quotient(quotient(quotient(eta(difference(A,B)),quotient(j(eta(A)),difference(A,B))),A),
% i(A)) ->
% quotient(eta(A),quotient(eta(quotient(i(B),i(A))),quotient(j(eta(A)),
% quotient(i(B),i(A)))))
% collapsed.
% Rule
% [1579]
% quotient(quotient(quotient(eta(difference(j(A),B)),quotient(j(eta(A)),
% difference(j(A),B))),
% j(A)),A) ->
% quotient(eta(A),quotient(eta(quotient(i(B),A)),quotient(j(eta(A)),quotient(
% i(B),A))))
% collapsed.
% Rule
% [1654]
% difference(t(quotient(A,B),B),quotient(eta(A),quotient(j(eta(t(quotient(A,B),B))),A)))
% ->
% quotient(difference(i(quotient(A,B)),j(quotient(i(quotient(A,B)),eta(
% t(quotient(A,B),B))))),
% quotient(A,B)) collapsed.
% Rule
% [1655]
% quotient(difference(i(difference(A,B)),quotient(eta(A),i(difference(A,B)))),
% difference(A,quotient(eta(B),quotient(j(eta(A)),B)))) ->
% t(difference(A,quotient(eta(B),quotient(j(eta(A)),B))),difference(A,B))
% collapsed.
% Rule
% [1678]
% quotient(eta(A),quotient(i(quotient(quotient(quotient(quotient(eta(difference(
% i(B),C)),
% quotient(j(eta(V_3)),
% difference(i(B),C))),
% i(B)),B),eta(V_3))),A)) ->
% quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(C),B))),A)) collapsed.
% Rule
% [1689]
% difference(t(difference(A,quotient(eta(B),quotient(j(eta(A)),B))),difference(A,B)),
% difference(i(difference(A,B)),quotient(eta(A),i(difference(A,B))))) ->
% difference(A,quotient(eta(B),quotient(j(eta(A)),B))) collapsed.
% Rule
% [1705]
% quotient(quotient(difference(A,B),difference(A,quotient(eta(B),quotient(
% j(eta(A)),B)))),
% quotient(difference(A,B),difference(i(difference(A,B)),quotient(eta(A),
% i(difference(A,B))))))
% -> difference(A,B) collapsed.
% Rule
% [1709]
% quotient(eta(quotient(eta(B),quotient(i(C),B))),quotient(j(eta(A)),quotient(
% eta(B),
% quotient(
% i(C),B))))
% <-> quotient(eta(B),quotient(i(quotient(eta(C),quotient(j(eta(A)),C))),B))
% collapsed.
% Rule
% [1710]
% quotient(eta(B),quotient(i(quotient(eta(C),quotient(j(eta(A)),C))),B)) <->
% quotient(eta(quotient(eta(B),quotient(i(C),B))),quotient(j(eta(A)),quotient(
% eta(B),
% quotient(
% i(C),B))))
% collapsed.
% Rule [1717] quotient(quotient(eta(A),quotient(j(eta(B)),A)),eta(B)) -> A
% collapsed.
% Rule
% [1831]
% t(eta(A),quotient(eta(quotient(eta(B),quotient(j(eta(A)),B))),quotient(
% i(C),quotient(
% eta(B),
% quotient(
% j(
% eta(A)),B)))))
% <-> quotient(eta(A),i(quotient(eta(B),quotient(i(t(eta(A),C)),B))))
% collapsed.
% Rule
% [1838]
% quotient(eta(B),quotient(eta(quotient(i(quotient(eta(B),quotient(i(A),j(B)))),B)),
% quotient(j(eta(B)),quotient(i(quotient(eta(B),quotient(
% i(A),j(B)))),B))))
% <-> quotient(quotient(quotient(eta(A),quotient(j(eta(B)),A)),j(B)),B)
% collapsed.
% Rule
% [1839]
% quotient(quotient(quotient(eta(A),quotient(j(eta(B)),A)),j(B)),B) <->
% quotient(eta(B),quotient(eta(quotient(i(quotient(eta(B),quotient(i(A),j(B)))),B)),
% quotient(j(eta(B)),quotient(i(quotient(eta(B),quotient(
% i(A),j(B)))),B))))
% collapsed.
% Rule
% [1842]
% quotient(difference(i(difference(A,B)),quotient(eta(A),i(difference(A,B)))),
% t(difference(A,quotient(eta(B),quotient(j(eta(A)),B))),difference(A,B))) ->
% t(t(difference(A,quotient(eta(B),quotient(j(eta(A)),B))),difference(A,B)),
% difference(A,quotient(eta(B),quotient(j(eta(A)),B)))) collapsed.
% Rule
% [1844]
% difference(i(i(B)),quotient(eta(B),i(quotient(quotient(eta(B),quotient(
% i(A),B)),
% quotient(quotient(eta(B),quotient(
% eta(quotient(
% i(A),B)),
% quotient(
% j(eta(B)),
% quotient(
% i(A),B)))),
% quotient(eta(B),quotient(i(A),B)))))))
% -> quotient(eta(A),quotient(j(eta(B)),A)) collapsed.
% Rule
% [1863]
% difference(B,quotient(quotient(quotient(quotient(eta(B),quotient(i(i(A)),B)),
% quotient(quotient(quotient(eta(difference(A,B)),
% quotient(j(eta(A)),difference(A,B))),A),
% quotient(eta(B),quotient(i(i(A)),B)))),
% eta(A)),A)) -> j(A) collapsed.
% Rule
% [1882]
% difference(t(t(quotient(A,B),B),quotient(A,B)),quotient(eta(A),quotient(
% j(eta(
% t(t(
% quotient(A,B),B),
% quotient(A,B)))),A)))
% ->
% quotient(difference(i(t(quotient(A,B),B)),j(quotient(i(t(quotient(A,B),B)),
% eta(t(t(quotient(A,B),B),
% quotient(A,B)))))),t(
% quotient(A,B),B))
% collapsed.
% Rule
% [1889]
% difference(t(t(difference(A,quotient(eta(B),quotient(j(eta(A)),B))),difference(A,B)),
% difference(A,quotient(eta(B),quotient(j(eta(A)),B)))),difference(
% i(difference(A,B)),
% quotient(
% eta(A),
% i(difference(A,B)))))
% -> t(difference(A,quotient(eta(B),quotient(j(eta(A)),B))),difference(A,B))
% collapsed.
% Rule
% [1896]
% quotient(quotient(difference(i(difference(A,B)),quotient(eta(A),i(difference(A,B)))),
% quotient(difference(A,B),difference(i(difference(A,B)),quotient(
% eta(A),
% i(difference(A,B)))))),
% difference(A,quotient(eta(B),quotient(j(eta(A)),B)))) ->
% difference(i(difference(A,B)),quotient(eta(A),i(difference(A,B)))) collapsed.
% Rule
% [1909]
% difference(i(B),quotient(quotient(eta(B),quotient(i(A),i(B))),quotient(
% quotient(
% eta(B),
% quotient(
% eta(quotient(
% i(A),
% i(B))),
% quotient(
% j(eta(B)),
% quotient(
% i(A),i(B))))),
% quotient(
% eta(B),
% quotient(
% i(A),i(B))))))
% -> quotient(eta(A),quotient(j(eta(B)),A)) collapsed.
% Rule
% [1925]
% quotient(difference(i(A),quotient(quotient(eta(B),quotient(i(i(A)),B)),
% quotient(quotient(quotient(eta(difference(A,B)),
% quotient(j(eta(A)),difference(A,B))),A),
% quotient(eta(B),quotient(i(i(A)),B))))),A) ->
% quotient(quotient(quotient(quotient(eta(quotient(quotient(eta(difference(
% i(A),B)),
% quotient(i(quotient(
% eta(A),t(
% i(A),
% i(
% t(A,
% i(
% quotient(A,
% j(A)))))))),
% difference(i(A),B))),
% i(A))),quotient(i(quotient(eta(
% quotient(
% eta(x1),
% quotient(
% i(A),x1))),
% quotient(i(i(A)),
% quotient(eta(x1),
% quotient(i(A),x1))))),
% quotient(quotient(eta(
% difference(
% i(A),B)),
% quotient(i(quotient(
% eta(A),
% t(
% i(A),
% i(
% t(A,
% i(
% quotient(A,
% j(A)))))))),
% difference(i(A),B))),
% i(A)))),i(A)),A),x1)
% collapsed.
% Rule
% [1926]
% quotient(difference(i(difference(A,quotient(eta(B),quotient(j(eta(A)),B)))),
% quotient(difference(i(difference(A,B)),difference(i(difference(A,B)),
% quotient(eta(A),i(difference(A,B))))),
% difference(A,B))),difference(A,quotient(eta(B),quotient(j(eta(A)),B))))
% -> difference(i(difference(A,B)),quotient(eta(A),i(difference(A,B))))
% collapsed.
% Rule
% [1932]
% quotient(j(quotient(i(quotient(eta(quotient(eta(B),i(quotient(quotient(
% eta(A),
% quotient(
% j(eta(B)),A)),B)))),
% quotient(j(B),quotient(eta(B),i(quotient(quotient(
% eta(A),
% quotient(
% j(eta(B)),A)),B)))))),
% j(eta(B)))),j(j(B))) ->
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),j(eta(B)))),A)),j(j(B)))
% collapsed.
% Rule
% [1940]
% quotient(eta(quotient(eta(B),i(quotient(eta(C),quotient(i(V_3),C))))),
% quotient(j(eta(B)),quotient(eta(B),i(quotient(eta(C),quotient(i(V_3),C))))))
% ->
% quotient(eta(B),i(t(quotient(quotient(eta(C),quotient(i(V_3),C)),quotient(
% eta(B),
% i(quotient(
% eta(C),
% quotient(
% i(V_3),C))))),
% quotient(eta(B),i(quotient(eta(C),quotient(i(V_3),C)))))))
% collapsed.
% Rule
% [1968]
% difference(i(i(i(B))),quotient(eta(B),i(quotient(quotient(eta(B),quotient(
% i(A),
% i(B))),
% quotient(quotient(eta(B),quotient(
% eta(
% quotient(
% i(A),
% i(B))),
% quotient(
% j(eta(B)),
% quotient(
% i(A),
% i(B))))),
% quotient(eta(B),quotient(i(A),i(B))))))))
% -> quotient(eta(A),quotient(j(eta(B)),A)) collapsed.
% Rule
% [1988]
% quotient(difference(i(difference(A,B)),quotient(eta(A),i(difference(A,B)))),
% t(t(difference(A,quotient(eta(B),quotient(j(eta(A)),B))),difference(A,B)),
% difference(A,quotient(eta(B),quotient(j(eta(A)),B))))) ->
% t(t(t(difference(A,quotient(eta(B),quotient(j(eta(A)),B))),difference(A,B)),
% difference(A,quotient(eta(B),quotient(j(eta(A)),B)))),t(difference(A,
% quotient(eta(B),
% quotient(j(eta(A)),B))),
% difference(A,B)))
% collapsed.
% Rule
% [2012]
% t(eta(A),difference(B,quotient(j(quotient(i(quotient(eta(quotient(eta(C),
% i(quotient(eta(V_3),
% quotient(j(eta(A)),V_3))))),
% quotient(j(A),quotient(eta(C),
% i(quotient(
% eta(V_3),
% quotient(
% j(eta(A)),V_3))))))),
% j(eta(A)))),j(j(A))))) ->
% t(eta(A),difference(B,quotient(j(quotient(i(quotient(eta(quotient(eta(C),
% i(quotient(V_3,
% j(eta(A)))))),
% quotient(j(A),quotient(eta(C),
% i(quotient(V_3,
% j(eta(A)))))))),
% j(eta(A)))),j(j(A))))) collapsed.
% Rule
% [2155]
% difference(t(A,eta(B)),quotient(eta(quotient(A,j(eta(B)))),quotient(j(
% eta(
% t(A,
% eta(B)))),
% quotient(A,
% j(eta(B)))))) ->
% quotient(difference(i(A),j(quotient(i(A),eta(t(A,eta(B)))))),A) collapsed.
% Rule
% [2327]
% quotient(A,quotient(eta(A),quotient(j(eta(B)),A))) ->
% t(quotient(A,j(eta(B))),j(eta(B))) collapsed.
% Rule
% [2383]
% difference(t(A,quotient(A,B)),quotient(eta(quotient(A,quotient(B,A))),
% quotient(j(eta(t(A,quotient(A,B)))),quotient(A,
% quotient(B,A)))))
% -> quotient(difference(i(A),j(quotient(i(A),eta(t(A,quotient(A,B)))))),A)
% collapsed.
% Rule
% [2501]
% quotient(quotient(eta(A),quotient(j(eta(B)),A)),quotient(eta(A),quotient(
% i(quotient(
% eta(A),
% quotient(
% j(eta(B)),A))),A)))
% -> quotient(quotient(A,j(eta(B))),quotient(A,quotient(j(eta(B)),A)))
% collapsed.
% Rule
% [2816]
% quotient(quotient(eta(A),quotient(j(eta(B)),A)),quotient(eta(t(t(A,eta(B)),A)),
% quotient(i(quotient(eta(A),
% quotient(j(eta(B)),A))),
% t(t(A,eta(B)),A)))) ->
% quotient(quotient(A,j(eta(B))),quotient(eta(t(t(A,eta(B)),A)),quotient(
% i(quotient(A,
% j(eta(B)))),
% t(t(A,eta(B)),A))))
% collapsed.
% Rule
% [2852]
% quotient(eta(A),t(eta(B),quotient(j(eta(B)),j(eta(quotient(eta(A),quotient(
% j(eta(B)),A)))))))
% -> eta(B) collapsed.
% Rule
% [2856]
% t(eta(A),t(eta(A),quotient(j(eta(A)),j(eta(quotient(eta(B),quotient(j(eta(A)),B)))))))
% -> quotient(eta(B),eta(A)) collapsed.
% Rule
% [2859]
% quotient(t(eta(B),quotient(j(eta(B)),j(eta(quotient(eta(A),quotient(j(eta(B)),A)))))),A)
% -> i(quotient(eta(A),quotient(j(eta(B)),A))) collapsed.
% Rule
% [2866]
% t(eta(A),quotient(B,t(eta(A),quotient(j(eta(A)),j(eta(quotient(eta(C),
% quotient(j(eta(A)),C))))))))
% <-> quotient(t(eta(A),B),quotient(eta(C),eta(A))) collapsed.
% Rule
% [2868]
% t(eta(A),quotient(t(eta(A),quotient(j(eta(A)),j(eta(quotient(eta(B),quotient(
% j(
% eta(A)),B)))))),C))
% -> quotient(quotient(eta(B),eta(A)),t(eta(A),C)) collapsed.
% Rule
% [2869]
% t(eta(A),t(eta(A),difference(quotient(j(eta(A)),j(eta(quotient(eta(B),
% quotient(j(eta(A)),B))))),
% quotient(j(quotient(i(quotient(eta(quotient(C,j(eta(A)))),
% quotient(j(A),quotient(C,j(eta(A)))))),
% j(eta(A)))),j(j(A)))))) ->
% difference(quotient(eta(B),eta(A)),t(eta(A),C)) collapsed.
% Rule
% [2871]
% quotient(eta(A),quotient(t(eta(B),quotient(i(quotient(eta(C),quotient(
% j(eta(B)),C))),B)),A))
% -> quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(C),B))),A))
% collapsed.
% Rule
% [2936]
% quotient(eta(t(i(i(A)),B)),quotient(j(eta(A)),t(i(i(A)),B))) ->
% quotient(eta(A),i(t(A,B))) collapsed.
% Current number of equations to process: 938
% Current number of ordered equations: 0
% Current number of rules: 1343
% Rule [1315]
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),j(eta(A))) <->
% t(eta(A),quotient(quotient(B,quotient(j(quotient(i(quotient(eta(C),
% quotient(j(A),C))),
% j(eta(A)))),j(j(A)))),j(eta(A)))) is composed into
% [1315]
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),j(eta(A))) <->
% quotient(eta(A),i(quotient(B,quotient(j(quotient(i(quotient(eta(C),quotient(
% j(A),C))),
% j(eta(A)))),j(j(A))))))
% New rule produced :
% [2971] t(eta(A),quotient(B,j(eta(A)))) <-> quotient(eta(A),i(B))
% Rule
% [2611]
% t(eta(A),quotient(quotient(eta(A),j(eta(A))),j(eta(A)))) ->
% quotient(quotient(eta(A),j(eta(A))),j(eta(A))) collapsed.
% Current number of equations to process: 938
% Current number of ordered equations: 1
% Current number of rules: 1343
% New rule produced :
% [2972] quotient(eta(A),i(B)) <-> t(eta(A),quotient(B,j(eta(A))))
% Rule [45] quotient(eta(A),i(A)) -> i(i(A)) collapsed.
% Current number of equations to process: 938
% Current number of ordered equations: 0
% Current number of rules: 1343
% New rule produced :
% [2973] quotient(t(i(i(A)),B),j(eta(A))) -> quotient(eta(A),i(t(A,B)))
% Current number of equations to process: 942
% Current number of ordered equations: 0
% Current number of rules: 1344
% New rule produced :
% [2974] quotient(eta(quotient(A,j(B))),quotient(B,quotient(A,j(B)))) -> A
% Current number of equations to process: 943
% Current number of ordered equations: 0
% Current number of rules: 1345
% New rule produced :
% [2975]
% quotient(difference(A,quotient(B,j(eta(A)))),A) ->
% quotient(quotient(difference(A,B),j(eta(A))),A)
% Current number of equations to process: 942
% Current number of ordered equations: 0
% Current number of rules: 1346
% New rule produced :
% [2976]
% t(A,quotient(i(B),quotient(A,B))) <->
% t(A,quotient(i(A),j(eta(quotient(A,B)))))
% Current number of equations to process: 941
% Current number of ordered equations: 1
% Current number of rules: 1347
% New rule produced :
% [2977]
% t(A,quotient(i(A),j(eta(quotient(A,B))))) <->
% t(A,quotient(i(B),quotient(A,B)))
% Current number of equations to process: 941
% Current number of ordered equations: 0
% Current number of rules: 1348
% New rule produced :
% [2978]
% quotient(quotient(eta(A),j(eta(A))),j(eta(A))) ->
% quotient(eta(A),i(quotient(eta(A),j(eta(A)))))
% Current number of equations to process: 940
% Current number of ordered equations: 0
% Current number of rules: 1349
% New rule produced :
% [2979]
% quotient(quotient(eta(B),quotient(i(C),B)),j(eta(A))) <->
% quotient(eta(B),quotient(i(quotient(C,j(eta(A)))),B))
% Rule
% [1676]
% t(eta(A),difference(B,quotient(j(quotient(i(quotient(eta(quotient(quotient(
% eta(
% t(eta(A),
% quotient(B,
% j(B)))),
% quotient(
% i(C),
% t(eta(A),
% quotient(B,
% j(B))))),
% j(eta(A)))),
% quotient(j(A),quotient(quotient(
% eta(
% t(
% eta(A),
% quotient(B,
% j(B)))),
% quotient(
% i(C),
% t(
% eta(A),
% quotient(B,
% j(B))))),
% j(eta(A)))))),
% j(eta(A)))),j(j(A))))) ->
% t(t(eta(A),B),quotient(eta(C),quotient(i(t(eta(A),B)),C))) collapsed.
% Rule
% [1754]
% t(eta(A),difference(quotient(eta(B),quotient(i(C),B)),quotient(j(quotient(
% i(quotient(
% eta(
% quotient(
% quotient(
% eta(
% t(
% eta(A),B)),
% quotient(
% i(V_3),
% t(
% eta(A),B))),
% j(
% eta(A)))),
% quotient(
% j(A),
% quotient(
% quotient(
% eta(
% t(
% eta(A),B)),
% quotient(
% i(V_3),
% t(
% eta(A),B))),
% j(
% eta(A)))))),
% j(eta(A)))),
% j(j(A))))) ->
% t(eta(A),quotient(difference(C,quotient(j(quotient(i(quotient(eta(quotient(
% quotient(
% eta(V_3),
% quotient(
% i(t(
% eta(A),B)),V_3)),
% j(eta(A)))),
% quotient(j(A),quotient(
% quotient(
% eta(V_3),
% quotient(
% i(
% t(
% eta(A),B)),V_3)),
% j(
% eta(A)))))),
% j(eta(A)))),j(j(A)))),B))
% collapsed.
% Rule
% [1851]
% t(eta(A),difference(B,quotient(j(quotient(i(quotient(eta(quotient(quotient(
% eta(
% quotient(
% eta(
% t(eta(A),B)),
% t(eta(A),
% quotient(
% j(eta(A)),B)))),
% quotient(
% i(C),
% quotient(
% eta(
% t(eta(A),B)),
% t(eta(A),
% quotient(
% j(eta(A)),B))))),
% j(eta(A)))),
% quotient(j(A),quotient(quotient(
% eta(
% quotient(
% eta(
% t(
% eta(A),B)),
% t(
% eta(A),
% quotient(
% j(
% eta(A)),B)))),
% quotient(
% i(C),
% quotient(
% eta(
% t(
% eta(A),B)),
% t(
% eta(A),
% quotient(
% j(
% eta(A)),B))))),
% j(eta(A)))))),
% j(eta(A)))),j(j(A))))) ->
% quotient(eta(A),i(C)) collapsed.
% Rule
% [1873]
% t(eta(A),difference(B,quotient(j(quotient(i(quotient(eta(quotient(quotient(
% eta(
% t(eta(A),
% quotient(
% eta(B),
% quotient(
% i(C),B)))),
% quotient(
% i(V_3),
% t(eta(A),
% quotient(
% eta(B),
% quotient(
% i(C),B))))),
% j(eta(A)))),
% quotient(j(A),quotient(quotient(
% eta(
% t(
% eta(A),
% quotient(
% eta(B),
% quotient(
% i(C),B)))),
% quotient(
% i(V_3),
% t(
% eta(A),
% quotient(
% eta(B),
% quotient(
% i(C),B))))),
% j(eta(A)))))),
% j(eta(A)))),j(j(A))))) ->
% quotient(quotient(eta(t(eta(A),C)),quotient(i(quotient(eta(V_3),quotient(
% i(t(eta(A),B)),V_3))),
% t(eta(A),C))),t(eta(A),B)) collapsed.
% Rule
% [1916]
% t(eta(B),difference(V_3,quotient(j(quotient(i(quotient(eta(quotient(quotient(
% eta(
% quotient(
% eta(
% t(
% eta(B),V_3)),
% quotient(
% i(A),
% t(
% eta(B),V_3)))),
% quotient(
% i(
% t(
% eta(B),C)),
% quotient(
% eta(
% t(
% eta(B),V_3)),
% quotient(
% i(A),
% t(
% eta(B),V_3))))),
% j(eta(B)))),
% quotient(j(B),quotient(
% quotient(
% eta(quotient(
% eta(t(
% eta(B),V_3)),
% quotient(
% i(A),
% t(eta(B),V_3)))),
% quotient(
% i(t(eta(B),C)),
% quotient(
% eta(t(eta(B),V_3)),
% quotient(
% i(A),t(eta(B),V_3))))),
% j(eta(B)))))),
% j(eta(B)))),j(j(B))))) ->
% quotient(quotient(eta(A),quotient(i(t(eta(B),quotient(eta(C),quotient(
% i(V_3),C)))),A)),
% t(eta(B),V_3)) collapsed.
% Current number of equations to process: 944
% Current number of ordered equations: 1
% Current number of rules: 1345
% New rule produced :
% [2980]
% quotient(eta(B),quotient(i(quotient(C,j(eta(A)))),B)) <->
% quotient(quotient(eta(B),quotient(i(C),B)),j(eta(A)))
% Current number of equations to process: 944
% Current number of ordered equations: 0
% Current number of rules: 1346
% New rule produced :
% [2981]
% quotient(difference(j(eta(A)),difference(A,quotient(B,j(eta(A))))),eta(A)) ->
% quotient(eta(A),i(difference(A,B)))
% Current number of equations to process: 943
% Current number of ordered equations: 0
% Current number of rules: 1347
% New rule produced :
% [2982]
% quotient(quotient(quotient(difference(A,B),j(eta(A))),A),i(A)) ->
% j(quotient(i(B),i(A)))
% Current number of equations to process: 942
% Current number of ordered equations: 0
% Current number of rules: 1348
% New rule produced :
% [2983]
% quotient(eta(A),t(eta(B),quotient(j(eta(B)),j(eta(quotient(A,j(eta(B))))))))
% -> eta(B)
% Current number of equations to process: 941
% Current number of ordered equations: 0
% Current number of rules: 1349
% New rule produced :
% [2984]
% quotient(eta(quotient(A,B)),t(A,quotient(i(B),quotient(A,B)))) ->
% t(t(A,quotient(i(B),quotient(A,B))),A)
% Current number of equations to process: 940
% Current number of ordered equations: 0
% Current number of rules: 1350
% New rule produced :
% [2985]
% quotient(quotient(quotient(difference(j(A),B),j(eta(A))),j(A)),A) ->
% j(quotient(i(B),A))
% Current number of equations to process: 939
% Current number of ordered equations: 0
% Current number of rules: 1351
% New rule produced :
% [2986]
% difference(quotient(B,A),quotient(B,j(eta(quotient(B,A))))) ->
% quotient(difference(i(A),j(quotient(i(A),eta(quotient(B,A))))),A)
% Current number of equations to process: 938
% Current number of ordered equations: 0
% Current number of rules: 1352
% New rule produced :
% [2987]
% quotient(t(eta(B),quotient(j(eta(B)),j(eta(quotient(A,j(eta(B))))))),A) ->
% i(quotient(A,j(eta(B))))
% Current number of equations to process: 937
% Current number of ordered equations: 0
% Current number of rules: 1353
% New rule produced :
% [2988]
% t(eta(A),t(eta(A),quotient(j(eta(A)),j(eta(quotient(B,j(eta(A)))))))) <->
% quotient(eta(B),eta(A))
% Current number of equations to process: 936
% Current number of ordered equations: 1
% Current number of rules: 1354
% New rule produced :
% [2989]
% quotient(eta(B),eta(A)) <->
% t(eta(A),t(eta(A),quotient(j(eta(A)),j(eta(quotient(B,j(eta(A))))))))
% Current number of equations to process: 936
% Current number of ordered equations: 0
% Current number of rules: 1355
% New rule produced :
% [2990]
% quotient(quotient(eta(quotient(A,B)),quotient(quotient(i(B),quotient(A,B)),
% eta(quotient(A,B)))),A) ->
% eta(quotient(A,B))
% Current number of equations to process: 935
% Current number of ordered equations: 0
% Current number of rules: 1356
% New rule produced :
% [2991]
% difference(difference(A,quotient(B,j(eta(A)))),difference(i(difference(A,B)),
% quotient(eta(A),i(difference(A,B)))))
% -> difference(A,B)
% Current number of equations to process: 934
% Current number of ordered equations: 0
% Current number of rules: 1357
% Rule [2913]
% quotient(quotient(eta(A),j(B)),eta(C)) <->
% quotient(eta(A),quotient(difference(j(eta(C)),eta(B)),j(j(B)))) is composed into
% [2913]
% quotient(quotient(eta(A),j(B)),eta(C)) <->
% quotient(eta(A),quotient(quotient(eta(quotient(eta(B),quotient(i(j(eta(C))),B))),
% quotient(i(B),i(quotient(eta(B),quotient(i(j(eta(C))),B))))),
% j(j(B))))
% New rule produced :
% [2992]
% difference(B,eta(A)) ->
% quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(i(A),i(quotient(
% eta(A),
% quotient(
% i(B),A)))))
% Rule [35] difference(A,eta(A)) -> j(A) collapsed.
% Rule
% [246]
% quotient(difference(B,eta(A)),A) -> i(quotient(eta(A),quotient(i(B),A)))
% collapsed.
% Rule
% [1095]
% t(A,quotient(A,difference(B,eta(A)))) ->
% t(A,quotient(A,quotient(eta(i(quotient(eta(A),quotient(i(B),A)))),quotient(
% i(A),
% i(quotient(
% eta(A),
% quotient(
% i(B),A)))))))
% collapsed.
% Rule
% [1096]
% quotient(quotient(eta(A),quotient(difference(C,eta(B)),j(j(B)))),C) ->
% quotient(eta(A),j(B)) collapsed.
% Rule
% [1160]
% quotient(difference(A,eta(B)),i(B)) ->
% i(quotient(eta(B),quotient(i(A),i(B)))) collapsed.
% Rule
% [1161]
% difference(i(quotient(eta(A),quotient(i(B),A))),difference(B,eta(A))) -> A
% collapsed.
% Rule
% [1162]
% quotient(difference(A,eta(B)),j(B)) ->
% i(quotient(eta(B),quotient(i(A),j(B)))) collapsed.
% Rule
% [1273]
% quotient(quotient(A,i(quotient(eta(A),quotient(i(B),A)))),quotient(A,
% difference(B,
% eta(A)))) -> A
% collapsed.
% Rule
% [1282]
% quotient(difference(A,eta(B)),i(quotient(eta(B),quotient(i(A),B)))) ->
% t(i(quotient(eta(B),quotient(i(A),B))),B) collapsed.
% Rule
% [1300]
% difference(t(i(quotient(eta(A),quotient(i(B),A))),A),difference(B,eta(A))) ->
% i(quotient(eta(A),quotient(i(B),A))) collapsed.
% Rule
% [1326]
% quotient(t(eta(A),B),difference(C,eta(A))) <->
% t(eta(A),quotient(B,quotient(j(quotient(i(quotient(eta(quotient(quotient(
% j(quotient(
% i(quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(eta(A)))),
% j(j(A))),
% quotient(eta(difference(
% eta(A),
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(
% j(A))))),
% quotient(i(quotient(
% j(quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(j(A)))),
% difference(eta(A),
% quotient(j(quotient(
% i(quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(eta(A)))),
% j(j(A)))))))),
% quotient(j(A),quotient(quotient(
% j(quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(j(A))),
% quotient(eta(
% difference(
% eta(A),
% quotient(
% j(quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(j(A))))),
% quotient(i(quotient(
% j(
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(
% j(A)))),
% difference(eta(A),
% quotient(j(quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(j(A)))))))))),
% j(eta(A)))),j(j(A))))) collapsed.
% Rule
% [1402]
% quotient(quotient(difference(A,eta(B)),quotient(B,difference(A,eta(B)))),
% i(quotient(eta(B),quotient(i(A),B)))) -> difference(A,eta(B)) collapsed.
% Rule
% [1550]
% quotient(difference(A,eta(B)),t(i(quotient(eta(B),quotient(i(A),B))),B)) ->
% t(t(i(quotient(eta(B),quotient(i(A),B))),B),i(quotient(eta(B),quotient(
% i(A),B))))
% collapsed.
% Rule
% [1623]
% difference(t(t(i(quotient(eta(A),quotient(i(B),A))),A),i(quotient(eta(A),
% quotient(i(B),A)))),
% difference(B,eta(A))) -> t(i(quotient(eta(A),quotient(i(B),A))),A) collapsed.
% Rule
% [1656]
% quotient(difference(i(i(quotient(eta(A),quotient(i(B),A)))),quotient(
% difference(
% i(A),difference(B,
% eta(A))),A)),
% i(quotient(eta(A),quotient(i(B),A)))) -> difference(B,eta(A)) collapsed.
% Rule
% [1671]
% quotient(quotient(difference(A,eta(B)),quotient(i(quotient(eta(B),quotient(
% i(A),B))),
% difference(A,eta(B)))),t(i(quotient(
% eta(B),
% quotient(
% i(A),B))),B))
% -> difference(A,eta(B)) collapsed.
% Rule
% [1824]
% difference(j(quotient(i(A),eta(C))),eta(B)) <->
% quotient(difference(A,quotient(quotient(i(t(eta(C),quotient(i(eta(C)),
% j(eta(quotient(B,j(eta(C)))))))),
% quotient(eta(difference(eta(B),i(t(eta(C),
% quotient(
% i(eta(C)),
% j(eta(
% quotient(B,
% j(eta(C)))))))))),
% quotient(i(i(t(eta(C),quotient(i(eta(C)),
% j(eta(quotient(B,
% j(eta(C))))))))),
% difference(eta(B),i(t(eta(C),quotient(
% i(eta(C)),
% j(eta(quotient(B,
% j(eta(C)))))))))))),
% t(eta(C),quotient(i(eta(C)),j(eta(quotient(B,j(eta(C))))))))),
% eta(C)) collapsed.
% Rule
% [1864]
% quotient(difference(A,eta(B)),t(t(i(quotient(eta(B),quotient(i(A),B))),B),
% i(quotient(eta(B),quotient(i(A),B))))) ->
% t(t(t(i(quotient(eta(B),quotient(i(A),B))),B),i(quotient(eta(B),quotient(
% i(A),B)))),
% t(i(quotient(eta(B),quotient(i(A),B))),B)) collapsed.
% Rule
% [1888]
% difference(t(t(t(i(quotient(eta(A),quotient(i(B),A))),A),i(quotient(eta(A),
% quotient(i(B),A)))),
% t(i(quotient(eta(A),quotient(i(B),A))),A)),difference(B,eta(A)))
% ->
% t(t(i(quotient(eta(A),quotient(i(B),A))),A),i(quotient(eta(A),quotient(
% i(B),A))))
% collapsed.
% Rule
% [2014]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% quotient(
% difference(B,
% t(eta(A),
% quotient(
% difference(
% i(C),eta(A)),C))),
% t(eta(A),
% quotient(
% eta(A),C))),
% eta(A)),
% eta(A)))) ->
% quotient(eta(difference(quotient(eta(A),j(eta(A))),t(eta(A),quotient(
% eta(A),quotient(
% quotient(C,
% eta(A)),
% eta(A)))))),
% quotient(i(B),difference(quotient(eta(A),j(eta(A))),t(eta(A),quotient(
% eta(A),quotient(
% quotient(C,
% eta(A)),
% eta(A)))))))
% collapsed.
% Rule
% [2086]
% t(eta(A),quotient(difference(B,eta(A)),j(j(j(j(A)))))) ->
% i(quotient(eta(A),quotient(i(t(eta(A),B)),A))) collapsed.
% Rule
% [2237]
% quotient(difference(B,eta(A)),quotient(eta(A),quotient(i(difference(B,eta(A))),A)))
% ->
% quotient(quotient(eta(i(quotient(eta(A),quotient(i(B),A)))),quotient(
% i(A),i(quotient(
% eta(A),
% quotient(
% i(B),A))))),
% quotient(eta(A),quotient(i(quotient(eta(i(quotient(eta(A),quotient(i(B),A)))),
% quotient(i(A),i(quotient(eta(A),quotient(i(B),A)))))),A)))
% collapsed.
% Rule
% [2260]
% t(eta(B),difference(A,eta(B))) ->
% quotient(quotient(quotient(A,eta(B)),quotient(eta(quotient(j(quotient(
% i(quotient(
% eta(quotient(A,
% eta(B))),
% quotient(
% j(B),quotient(A,
% eta(B))))),
% j(eta(B)))),
% j(j(B)))),quotient(
% i(quotient(A,
% eta(B))),
% quotient(
% j(quotient(
% i(quotient(
% eta(quotient(A,
% eta(B))),
% quotient(
% j(B),
% quotient(A,
% eta(B))))),
% j(eta(B)))),
% j(j(B)))))),
% eta(B)) collapsed.
% Rule
% [2346]
% quotient(quotient(quotient(A,i(quotient(eta(A),quotient(i(B),A)))),quotient(
% quotient(A,
% difference(B,
% eta(A))),
% quotient(A,
% i(
% quotient(
% eta(A),
% quotient(
% i(B),A)))))),A)
% -> quotient(A,i(quotient(eta(A),quotient(i(B),A)))) collapsed.
% Rule
% [2376]
% difference(t(difference(A,eta(B)),i(quotient(eta(B),quotient(i(A),B)))),
% quotient(difference(A,eta(B)),quotient(B,difference(A,eta(B))))) ->
% difference(A,eta(B)) collapsed.
% Rule
% [2432]
% quotient(quotient(difference(A,eta(B)),quotient(B,difference(A,eta(B)))),
% t(difference(A,eta(B)),i(quotient(eta(B),quotient(i(A),B))))) ->
% t(t(difference(A,eta(B)),i(quotient(eta(B),quotient(i(A),B)))),difference(A,
% eta(B)))
% collapsed.
% Rule
% [2567]
% difference(t(t(difference(A,eta(B)),i(quotient(eta(B),quotient(i(A),B)))),
% difference(A,eta(B))),quotient(difference(A,eta(B)),quotient(B,
% difference(A,
% eta(B))))) ->
% t(difference(A,eta(B)),i(quotient(eta(B),quotient(i(A),B)))) collapsed.
% Rule
% [2791]
% quotient(quotient(difference(A,eta(B)),quotient(t(i(quotient(eta(B),quotient(
% i(A),B))),B),
% difference(A,eta(B)))),t(t(i(quotient(
% eta(B),
% quotient(
% i(A),B))),B),
% i(quotient(
% eta(B),
% quotient(
% i(A),B)))))
% -> difference(A,eta(B)) collapsed.
% Rule
% [2798]
% quotient(quotient(quotient(difference(A,eta(B)),quotient(B,difference(A,
% eta(B)))),
% quotient(i(quotient(eta(B),quotient(i(A),B))),quotient(difference(A,
% eta(B)),
% quotient(B,difference(A,
% eta(B)))))),
% difference(A,eta(B))) ->
% quotient(difference(A,eta(B)),quotient(B,difference(A,eta(B)))) collapsed.
% Rule
% [2824]
% quotient(difference(B,eta(A)),quotient(eta(quotient(eta(A),quotient(i(B),A))),
% quotient(i(difference(B,eta(A))),i(quotient(
% eta(A),
% quotient(
% i(B),A))))))
% ->
% quotient(quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(i(A),
% i(quotient(eta(A),
% quotient(i(B),A))))),
% quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(i(quotient(eta(
% quotient(
% eta(A),
% quotient(
% i(B),A))),
% quotient(i(A),
% i(quotient(
% eta(A),quotient(
% i(B),A)))))),
% i(quotient(eta(A),quotient(
% i(B),A))))))
% collapsed.
% Rule [2835] quotient(A,j(difference(A,eta(B)))) -> eta(B) collapsed.
% Rule
% [2884]
% t(j(A),quotient(j(A),difference(B,eta(A)))) ->
% t(j(A),quotient(j(A),quotient(eta(quotient(eta(A),quotient(i(B),j(A)))),
% quotient(A,i(quotient(eta(A),quotient(i(B),j(A))))))))
% collapsed.
% Rule
% [2886]
% t(i(A),quotient(i(A),difference(B,eta(A)))) ->
% t(i(A),quotient(i(A),quotient(eta(quotient(eta(A),quotient(i(B),i(A)))),
% quotient(i(i(A)),i(quotient(eta(A),quotient(i(B),i(A))))))))
% collapsed.
% Rule [2909] quotient(j(quotient(difference(A,eta(B)),j(j(B)))),A) -> j(j(B))
% collapsed.
% Rule
% [2912]
% quotient(eta(A),quotient(difference(j(eta(C)),eta(B)),j(j(B)))) <->
% quotient(quotient(eta(A),j(B)),eta(C)) collapsed.
% Rule
% [2914]
% quotient(quotient(eta(A),quotient(difference(B,eta(C)),j(j(j(C))))),B) ->
% quotient(eta(A),j(j(C))) collapsed.
% Rule
% [2915]
% quotient(i(quotient(difference(A,eta(B)),j(j(B)))),A) ->
% t(j(B),quotient(B,j(eta(quotient(difference(A,eta(B)),j(j(B))))))) collapsed.
% Rule
% [2916]
% quotient(quotient(eta(A),quotient(difference(B,eta(C)),j(j(C)))),quotient(
% eta(A),
% j(C))) ->
% t(quotient(eta(A),j(C)),B) collapsed.
% Rule
% [2917]
% quotient(quotient(A,quotient(eta(B),j(C))),quotient(A,quotient(eta(B),
% quotient(difference(A,
% eta(C)),
% j(j(C)))))) -> A
% collapsed.
% Rule
% [2918]
% quotient(quotient(eta(A),quotient(difference(B,eta(C)),j(j(C)))),t(quotient(
% eta(A),
% j(C)),B))
% -> t(t(quotient(eta(A),j(C)),B),quotient(eta(A),j(C))) collapsed.
% Rule
% [2919]
% quotient(difference(i(quotient(eta(A),j(B))),quotient(difference(i(C),
% quotient(eta(A),
% quotient(difference(C,
% eta(B)),
% j(j(B))))),C)),
% quotient(eta(A),j(B))) ->
% quotient(eta(A),quotient(difference(C,eta(B)),j(j(B)))) collapsed.
% Rule
% [2920]
% quotient(quotient(eta(A),quotient(difference(B,eta(C)),j(j(C)))),t(t(
% quotient(
% eta(A),
% j(C)),B),
% quotient(
% eta(A),
% j(C)))) ->
% t(t(t(quotient(eta(A),j(C)),B),quotient(eta(A),j(C))),t(quotient(eta(A),j(C)),B))
% collapsed.
% Rule
% [2922]
% quotient(quotient(A,quotient(eta(B),j(C))),t(A,quotient(A,quotient(eta(B),
% quotient(difference(A,
% eta(C)),
% j(j(C))))))) ->
% t(t(A,quotient(A,quotient(eta(B),quotient(difference(A,eta(C)),j(j(C)))))),A)
% collapsed.
% Current number of equations to process: 972
% Current number of ordered equations: 0
% Current number of rules: 1315
% Rule [1902]
% quotient(difference(A,quotient(difference(i(quotient(A,j(A))),quotient(
% eta(B),
% j(
% eta(
% quotient(A,
% j(A)))))),
% quotient(A,j(A)))),quotient(eta(B),i(i(quotient(A,
% j(A))))))
% ->
% quotient(t(A,quotient(eta(B),i(t(A,quotient(i(A),j(eta(quotient(A,j(A))))))))),
% quotient(eta(B),i(i(quotient(A,j(A)))))) is composed into [1902]
% quotient(
% difference(A,
% quotient(
% difference(
% i(quotient(A,
% j(A))),
% quotient(
% eta(B),
% j(eta(
% quotient(A,
% j(A)))))),
% quotient(A,
% j(A)))),
% quotient(
% eta(B),
% i(i(quotient(A,
% j(A))))))
% ->
% quotient(
% t(A,quotient(
% eta(B),
% i(
% j(A)))),
% quotient(
% eta(B),
% i(i(quotient(A,
% j(A))))))
% New rule produced :
% [2993] t(A,quotient(i(A),j(eta(quotient(A,j(A)))))) -> j(A)
% Rule
% [2845]
% t(A,quotient(A,t(A,quotient(i(A),j(eta(quotient(A,j(A)))))))) ->
% t(A,quotient(A,j(A))) collapsed.
% Rule
% [2876]
% quotient(t(A,quotient(i(A),j(eta(quotient(A,j(A)))))),quotient(eta(A),
% quotient(i(t(A,
% quotient(
% i(A),
% j(eta(
% quotient(A,
% j(A))))))),A)))
% -> i(A) collapsed.
% Rule
% [2937]
% quotient(t(A,t(A,quotient(i(A),j(eta(quotient(A,j(A))))))),i(quotient(A,j(A))))
% -> A collapsed.
% Current number of equations to process: 971
% Current number of ordered equations: 0
% Current number of rules: 1313
% New rule produced :
% [2994]
% quotient(eta(A),quotient(t(eta(B),quotient(i(quotient(C,j(eta(B)))),B)),A))
% -> quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(C),B))),A))
% Current number of equations to process: 970
% Current number of ordered equations: 0
% Current number of rules: 1314
% New rule produced :
% [2995]
% quotient(quotient(A,j(eta(B))),j(j(A))) ->
% t(j(j(A)),t(eta(A),quotient(j(eta(A)),j(eta(quotient(B,j(eta(A))))))))
% Current number of equations to process: 969
% Current number of ordered equations: 0
% Current number of rules: 1315
% New rule produced :
% [2996]
% quotient(quotient(quotient(A,j(eta(B))),j(B)),B) ->
% j(quotient(i(quotient(eta(B),quotient(i(A),j(B)))),B))
% Rule
% [2985]
% quotient(quotient(quotient(difference(j(A),B),j(eta(A))),j(A)),A) ->
% j(quotient(i(B),A)) collapsed.
% Current number of equations to process: 969
% Current number of ordered equations: 0
% Current number of rules: 1315
% New rule produced :
% [2997]
% j(quotient(i(quotient(eta(A),quotient(i(difference(j(A),B)),j(A)))),A)) ->
% j(quotient(i(B),A))
% Current number of equations to process: 968
% Current number of ordered equations: 0
% Current number of rules: 1316
% New rule produced :
% [2998]
% quotient(quotient(quotient(i(A),quotient(B,A)),B),quotient(quotient(i(A),
% quotient(B,A)),
% eta(quotient(B,A)))) ->
% quotient(i(A),quotient(B,A))
% Current number of equations to process: 967
% Current number of ordered equations: 0
% Current number of rules: 1317
% New rule produced :
% [2999]
% t(eta(A),quotient(t(eta(A),quotient(j(eta(A)),j(eta(quotient(B,j(eta(A))))))),C))
% <-> quotient(quotient(eta(B),eta(A)),t(eta(A),C))
% Current number of equations to process: 966
% Current number of ordered equations: 1
% Current number of rules: 1318
% New rule produced :
% [3000]
% quotient(quotient(eta(B),eta(A)),t(eta(A),C)) <->
% t(eta(A),quotient(t(eta(A),quotient(j(eta(A)),j(eta(quotient(B,j(eta(A))))))),C))
% Current number of equations to process: 966
% Current number of ordered equations: 0
% Current number of rules: 1319
% New rule produced :
% [3001]
% difference(t(A,eta(B)),quotient(quotient(A,j(eta(B))),j(eta(t(A,eta(B))))))
% -> quotient(difference(i(A),j(quotient(i(A),eta(t(A,eta(B)))))),A)
% Current number of equations to process: 965
% Current number of ordered equations: 0
% Current number of rules: 1320
% New rule produced :
% [3002]
% quotient(A,j(quotient(eta(quotient(eta(B),quotient(i(A),B))),quotient(
% i(B),i(quotient(
% eta(B),
% quotient(
% i(A),B)))))))
% -> eta(B)
% Current number of equations to process: 964
% Current number of ordered equations: 0
% Current number of rules: 1321
% New rule produced :
% [3003]
% quotient(difference(i(difference(A,B)),quotient(eta(A),i(difference(A,B)))),
% difference(A,quotient(B,j(eta(A))))) ->
% t(difference(A,quotient(B,j(eta(A)))),difference(A,B))
% Current number of equations to process: 962
% Current number of ordered equations: 0
% Current number of rules: 1322
% New rule produced :
% [3004]
% quotient(quotient(eta(A),quotient(B,eta(A))),t(eta(A),t(quotient(eta(A),B),
% eta(A)))) ->
% t(eta(A),t(t(quotient(eta(A),B),eta(A)),quotient(eta(A),B)))
% Rule
% [2581]
% t(eta(A),quotient(quotient(eta(A),quotient(B,eta(A))),t(eta(A),t(quotient(
% eta(A),B),
% eta(A))))) ->
% t(eta(A),t(eta(A),t(t(quotient(eta(A),B),eta(A)),quotient(eta(A),B))))
% collapsed.
% Current number of equations to process: 961
% Current number of ordered equations: 0
% Current number of rules: 1322
% New rule produced :
% [3005]
% difference(t(A,quotient(A,B)),quotient(quotient(A,quotient(B,A)),j(eta(
% t(A,
% quotient(A,B))))))
% -> quotient(difference(i(A),j(quotient(i(A),eta(t(A,quotient(A,B)))))),A)
% Current number of equations to process: 960
% Current number of ordered equations: 0
% Current number of rules: 1323
% New rule produced :
% [3006]
% quotient(eta(quotient(A,B)),t(t(A,quotient(i(B),quotient(A,B))),A)) ->
% t(t(t(A,quotient(i(B),quotient(A,B))),A),t(A,quotient(i(B),quotient(A,B))))
% Current number of equations to process: 959
% Current number of ordered equations: 0
% Current number of rules: 1324
% New rule produced :
% [3007]
% quotient(quotient(eta(quotient(eta(B),quotient(i(A),B))),quotient(i(B),
% i(quotient(eta(B),
% quotient(i(A),B))))),
% i(B)) -> i(quotient(eta(B),quotient(i(A),i(B))))
% Current number of equations to process: 958
% Current number of ordered equations: 0
% Current number of rules: 1325
% New rule produced :
% [3008]
% quotient(quotient(eta(quotient(eta(B),quotient(i(A),B))),quotient(i(B),
% i(quotient(eta(B),
% quotient(i(A),B))))),
% j(B)) -> i(quotient(eta(B),quotient(i(A),j(B))))
% Current number of equations to process: 957
% Current number of ordered equations: 0
% Current number of rules: 1326
% New rule produced :
% [3009]
% difference(t(difference(A,quotient(B,j(eta(A)))),difference(A,B)),difference(
% i(difference(A,B)),
% quotient(
% eta(A),
% i(difference(A,B)))))
% -> difference(A,quotient(B,j(eta(A))))
% Current number of equations to process: 956
% Current number of ordered equations: 0
% Current number of rules: 1327
% New rule produced :
% [3010]
% quotient(eta(A),quotient(i(quotient(quotient(quotient(quotient(difference(
% i(B),C),
% j(eta(V_3))),i(B)),B),
% eta(V_3))),A)) ->
% quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(C),B))),A))
% Current number of equations to process: 955
% Current number of ordered equations: 0
% Current number of rules: 1328
% New rule produced :
% [3011]
% difference(t(quotient(A,B),B),quotient(A,j(eta(t(quotient(A,B),B))))) ->
% quotient(difference(i(quotient(A,B)),j(quotient(i(quotient(A,B)),eta(
% t(quotient(A,B),B))))),
% quotient(A,B))
% Current number of equations to process: 954
% Current number of ordered equations: 0
% Current number of rules: 1329
% New rule produced :
% [3012]
% quotient(j(quotient(quotient(eta(quotient(eta(B),quotient(i(A),B))),quotient(
% i(B),
% i(
% quotient(
% eta(B),
% quotient(
% i(A),B))))),
% j(j(B)))),A) -> j(j(B))
% Current number of equations to process: 953
% Current number of ordered equations: 0
% Current number of rules: 1330
% New rule produced :
% [3013]
% quotient(quotient(eta(quotient(A,B)),quotient(quotient(i(B),quotient(A,B)),
% eta(quotient(A,B)))),t(eta(quotient(A,B)),A))
% -> t(eta(quotient(A,B)),t(A,eta(quotient(A,B))))
% Current number of equations to process: 952
% Current number of ordered equations: 0
% Current number of rules: 1331
% New rule produced :
% [3014]
% difference(i(quotient(eta(A),quotient(i(B),A))),quotient(eta(quotient(
% eta(A),quotient(
% i(B),A))),
% quotient(i(A),i(quotient(
% eta(A),
% quotient(
% i(B),A))))))
% -> A
% Current number of equations to process: 951
% Current number of ordered equations: 0
% Current number of rules: 1332
% New rule produced :
% [3015]
% quotient(quotient(difference(A,B),difference(A,quotient(B,j(eta(A))))),
% quotient(difference(A,B),difference(i(difference(A,B)),quotient(eta(A),
% i(difference(A,B))))))
% -> difference(A,B)
% Current number of equations to process: 950
% Current number of ordered equations: 0
% Current number of rules: 1333
% New rule produced :
% [3016]
% quotient(quotient(eta(quotient(A,B)),quotient(t(A,quotient(i(B),quotient(A,B))),
% eta(quotient(A,B)))),t(t(A,quotient(
% i(B),
% quotient(A,B))),A))
% -> eta(quotient(A,B))
% Current number of equations to process: 949
% Current number of ordered equations: 0
% Current number of rules: 1334
% New rule produced :
% [3017]
% quotient(quotient(eta(A),quotient(quotient(eta(quotient(eta(B),quotient(
% i(C),B))),
% quotient(i(B),i(quotient(eta(B),quotient(
% i(C),B))))),
% j(j(B)))),C) -> quotient(eta(A),j(B))
% Current number of equations to process: 948
% Current number of ordered equations: 0
% Current number of rules: 1335
% New rule produced :
% [3018]
% quotient(quotient(eta(A),quotient(quotient(eta(quotient(eta(C),quotient(
% i(B),C))),
% quotient(i(C),i(quotient(eta(C),quotient(
% i(B),C))))),
% j(j(j(C))))),B) -> quotient(eta(A),j(j(C)))
% Current number of equations to process: 947
% Current number of ordered equations: 0
% Current number of rules: 1336
% New rule produced :
% [3019]
% difference(i(difference(A,B)),quotient(eta(A),i(difference(A,B)))) ->
% quotient(eta(difference(A,quotient(B,j(eta(A))))),quotient(i(difference(A,B)),
% difference(A,quotient(B,
% j(eta(A))))))
% Rule
% [550]
% quotient(difference(i(difference(A,B)),quotient(eta(A),i(difference(A,B)))),
% difference(A,B)) -> difference(A,quotient(B,j(eta(A)))) collapsed.
% Rule
% [2991]
% difference(difference(A,quotient(B,j(eta(A)))),difference(i(difference(A,B)),
% quotient(eta(A),i(difference(A,B)))))
% -> difference(A,B) collapsed.
% Rule
% [3003]
% quotient(difference(i(difference(A,B)),quotient(eta(A),i(difference(A,B)))),
% difference(A,quotient(B,j(eta(A))))) ->
% t(difference(A,quotient(B,j(eta(A)))),difference(A,B)) collapsed.
% Rule
% [3009]
% difference(t(difference(A,quotient(B,j(eta(A)))),difference(A,B)),difference(
% i(difference(A,B)),
% quotient(
% eta(A),
% i(difference(A,B)))))
% -> difference(A,quotient(B,j(eta(A)))) collapsed.
% Rule
% [3015]
% quotient(quotient(difference(A,B),difference(A,quotient(B,j(eta(A))))),
% quotient(difference(A,B),difference(i(difference(A,B)),quotient(eta(A),
% i(difference(A,B))))))
% -> difference(A,B) collapsed.
% Current number of equations to process: 947
% Current number of ordered equations: 0
% Current number of rules: 1332
% New rule produced :
% [3020]
% quotient(quotient(A,i(quotient(eta(A),quotient(i(B),A)))),quotient(A,
% quotient(eta(
% quotient(
% eta(A),
% quotient(
% i(B),A))),
% quotient(i(A),
% i(quotient(
% eta(A),quotient(
% i(B),A)))))))
% -> A
% Current number of equations to process: 946
% Current number of ordered equations: 0
% Current number of rules: 1333
% New rule produced :
% [3021]
% quotient(quotient(A,B),t(t(A,quotient(A,quotient(eta(B),quotient(i(A),B)))),A))
% ->
% t(t(t(A,quotient(A,quotient(eta(B),quotient(i(A),B)))),A),t(A,quotient(A,
% quotient(
% eta(B),
% quotient(
% i(A),B)))))
% Current number of equations to process: 944
% Current number of ordered equations: 0
% Current number of rules: 1334
% New rule produced :
% [3022] quotient(eta(A),quotient(i(i(quotient(A,j(A)))),A)) -> i(A)
% Rule
% [2326]
% quotient(i(quotient(A,j(A))),quotient(eta(A),quotient(i(i(quotient(A,j(A)))),A)))
% -> j(A) collapsed.
% Current number of equations to process: 957
% Current number of ordered equations: 0
% Current number of rules: 1334
% New rule produced :
% [3023]
% quotient(eta(A),quotient(i(quotient(i(B),quotient(A,B))),A)) ->
% eta(quotient(A,B))
% Current number of equations to process: 959
% Current number of ordered equations: 0
% Current number of rules: 1335
% New rule produced :
% [3024]
% t(quotient(eta(A),i(quotient(A,j(A)))),i(quotient(A,j(A)))) ->
% i(quotient(A,j(A)))
% Rule
% [2203]
% quotient(i(A),t(quotient(eta(A),i(quotient(A,j(A)))),i(quotient(A,j(A))))) ->
% A collapsed.
% Current number of equations to process: 958
% Current number of ordered equations: 0
% Current number of rules: 1335
% Rule [1869]
% quotient(quotient(difference(i(A),quotient(eta(B),i(quotient(eta(
% quotient(
% eta(C),
% quotient(
% i(i(A)),C))),
% quotient(i(A),
% quotient(eta(C),
% quotient(i(i(A)),C))))))),A),
% i(A)) ->
% quotient(quotient(quotient(quotient(quotient(eta(quotient(quotient(
% eta(difference(
% i(A),
% quotient(
% eta(B),
% i(C)))),
% quotient(
% i(quotient(
% eta(A),
% t(i(A),
% i(t(A,
% i(
% quotient(A,
% j(A)))))))),
% difference(
% i(A),quotient(
% eta(B),
% i(C))))),
% i(A))),quotient(
% i(quotient(
% eta(quotient(
% eta(x1),
% quotient(
% i(A),x1))),
% quotient(
% i(i(A)),
% quotient(
% eta(x1),
% quotient(
% i(A),x1))))),
% quotient(
% quotient(
% eta(difference(
% i(A),
% quotient(
% eta(B),
% i(C)))),
% quotient(
% i(quotient(
% eta(A),
% t(i(A),
% i(t(A,
% i(quotient(A,
% j(A)))))))),
% difference(
% i(A),quotient(
% eta(B),
% i(C))))),
% i(A)))),
% i(A)),A),x1),i(A)) is composed into [1869]
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% eta(B),
% i(
% quotient(
% eta(
% quotient(
% eta(C),
% quotient(
% i(
% i(A)),C))),
% quotient(
% i(A),
% quotient(
% eta(C),
% quotient(
% i(
% i(A)),C))))))),A),
% i(A)) ->
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(
% eta(
% quotient(
% quotient(
% eta(
% difference(
% i(A),
% quotient(
% eta(B),
% i(C)))),
% quotient(
% i(
% t(A,
% i(
% quotient(A,
% j(A))))),
% difference(
% i(A),
% quotient(
% eta(B),
% i(C))))),
% i(A))),
% quotient(
% i(
% quotient(
% eta(
% quotient(
% eta(x1),
% quotient(
% i(A),x1))),
% quotient(
% i(
% i(A)),
% quotient(
% eta(x1),
% quotient(
% i(A),x1))))),
% quotient(
% quotient(
% eta(
% difference(
% i(A),
% quotient(
% eta(B),
% i(C)))),
% quotient(
% i(
% t(A,
% i(
% quotient(A,
% j(A))))),
% difference(
% i(A),
% quotient(
% eta(B),
% i(C))))),
% i(A)))),
% i(A)),A),x1),
% i(A))
% Rule [1854]
% difference(i(A),quotient(eta(A),i(B))) ->
% quotient(quotient(quotient(quotient(quotient(eta(quotient(quotient(
% eta(difference(
% i(A),B)),
% quotient(
% i(quotient(
% eta(A),
% t(i(A),
% i(t(A,
% i(
% quotient(A,
% j(A)))))))),
% difference(
% i(A),B))),
% i(A))),quotient(
% i(quotient(
% eta(quotient(
% eta(x1),
% quotient(
% i(A),x1))),
% quotient(
% i(i(A)),
% quotient(
% eta(x1),
% quotient(
% i(A),x1))))),
% quotient(
% quotient(
% eta(difference(
% i(A),B)),
% quotient(
% i(quotient(
% eta(A),
% t(i(A),
% i(t(A,
% i(quotient(A,
% j(A)))))))),
% difference(
% i(A),B))),
% i(A)))),
% i(A)),A),x1),i(A)) is composed into [1854]
% difference(
% i(A),
% quotient(
% eta(A),
% i(B))) ->
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(
% eta(
% quotient(
% quotient(
% eta(
% difference(
% i(A),B)),
% quotient(
% i(
% t(A,
% i(
% quotient(A,
% j(A))))),
% difference(
% i(A),B))),
% i(A))),
% quotient(
% i(
% quotient(
% eta(
% quotient(
% eta(x1),
% quotient(
% i(A),x1))),
% quotient(
% i(
% i(A)),
% quotient(
% eta(x1),
% quotient(
% i(A),x1))))),
% quotient(
% quotient(
% eta(
% difference(
% i(A),B)),
% quotient(
% i(
% t(A,
% i(
% quotient(A,
% j(A))))),
% difference(
% i(A),B))),
% i(A)))),
% i(A)),A),x1),
% i(A))
% New rule produced :
% [3025]
% quotient(eta(A),t(i(A),i(t(A,i(quotient(A,j(A))))))) ->
% t(A,i(quotient(A,j(A))))
% Current number of equations to process: 957
% Current number of ordered equations: 0
% Current number of rules: 1336
% New rule produced :
% [3026]
% quotient(eta(A),quotient(j(j(j(j(A)))),i(t(A,i(quotient(A,j(A))))))) ->
% j(j(j(j(A))))
% Current number of equations to process: 961
% Current number of ordered equations: 0
% Current number of rules: 1337
% New rule produced :
% [3027]
% t(eta(t(A,i(quotient(A,j(A))))),quotient(A,j(eta(t(A,i(quotient(A,j(A))))))))
% -> A
% Current number of equations to process: 960
% Current number of ordered equations: 0
% Current number of rules: 1338
% New rule produced :
% [3028]
% quotient(i(t(A,i(quotient(A,j(A))))),j(j(j(j(j(j(A))))))) ->
% j(j(j(j(j(j(j(j(A))))))))
% Current number of equations to process: 959
% Current number of ordered equations: 0
% Current number of rules: 1339
% New rule produced :
% [3029]
% t(quotient(eta(A),i(quotient(j(A),j(j(A))))),i(quotient(j(A),j(j(A))))) ->
% i(quotient(j(A),j(j(A))))
% Rule
% [2270]
% quotient(A,t(quotient(eta(A),i(quotient(j(A),j(j(A))))),i(quotient(j(A),
% j(j(A)))))) ->
% j(A) collapsed.
% Current number of equations to process: 958
% Current number of ordered equations: 0
% Current number of rules: 1339
% New rule produced :
% [3030] quotient(eta(A),t(i(t(A,i(quotient(A,j(A))))),i(A))) -> A
% Current number of equations to process: 960
% Current number of ordered equations: 0
% Current number of rules: 1340
% New rule produced :
% [3031]
% quotient(eta(quotient(A,quotient(B,A))),quotient(i(A),quotient(A,quotient(B,A))))
% ->
% quotient(quotient(A,quotient(B,A)),quotient(quotient(A,B),quotient(A,
% quotient(B,A))))
% Current number of equations to process: 959
% Current number of ordered equations: 0
% Current number of rules: 1341
% New rule produced :
% [3032]
% quotient(eta(quotient(A,t(eta(B),eta(C)))),quotient(j(t(eta(B),eta(C))),
% quotient(A,t(eta(B),eta(C))))) ->
% A
% Current number of equations to process: 958
% Current number of ordered equations: 0
% Current number of rules: 1342
% New rule produced :
% [3033]
% quotient(eta(A),t(A,t(i(t(A,i(quotient(A,j(A))))),i(A)))) ->
% t(t(A,t(i(t(A,i(quotient(A,j(A))))),i(A))),A)
% Current number of equations to process: 957
% Current number of ordered equations: 0
% Current number of rules: 1343
% New rule produced :
% [3034]
% quotient(i(t(A,i(quotient(A,j(A))))),j(j(j(j(j(j(j(j(A))))))))) ->
% j(j(j(j(j(j(j(j(j(j(A))))))))))
% Current number of equations to process: 956
% Current number of ordered equations: 0
% Current number of rules: 1344
% New rule produced :
% [3035]
% difference(A,quotient(difference(i(quotient(A,j(A))),B),quotient(A,j(A)))) ->
% t(A,quotient(eta(quotient(B,quotient(A,j(A)))),quotient(i(A),quotient(B,
% quotient(A,
% j(A))))))
% Rule
% [791]
% quotient(difference(B,quotient(difference(i(quotient(B,j(B))),A),quotient(B,
% j(B)))),
% quotient(A,quotient(B,j(B)))) ->
% quotient(quotient(quotient(eta(difference(B,quotient(B,j(B)))),quotient(
% i(quotient(
% eta(
% quotient(A,
% quotient(B,
% j(B)))),
% quotient(
% i(B),
% quotient(A,
% quotient(B,
% j(B)))))),
% difference(B,
% quotient(B,
% j(B))))),B),
% quotient(A,quotient(B,j(B)))) collapsed.
% Rule
% [1883]
% difference(quotient(t(A,quotient(eta(quotient(B,quotient(A,j(A)))),quotient(
% i(A),
% quotient(B,
% quotient(A,
% j(A)))))),
% quotient(B,quotient(A,j(A)))),difference(A,quotient(difference(
% i(quotient(A,
% j(A))),B),
% quotient(A,j(A))))) ->
% quotient(B,quotient(A,j(A))) collapsed.
% Rule
% [1902]
% quotient(difference(A,quotient(difference(i(quotient(A,j(A))),quotient(
% eta(B),
% j(eta(quotient(A,
% j(A)))))),
% quotient(A,j(A)))),quotient(eta(B),i(i(quotient(A,j(A))))))
% ->
% quotient(t(A,quotient(eta(B),i(j(A)))),quotient(eta(B),i(i(quotient(A,j(A))))))
% collapsed.
% Rule
% [1934]
% quotient(difference(A,quotient(difference(i(quotient(A,j(A))),quotient(
% j(j(quotient(A,
% j(A)))),
% i(quotient(A,
% j(A))))),
% quotient(A,j(A)))),j(j(j(j(quotient(A,j(A))))))) ->
% quotient(t(A,quotient(eta(quotient(A,j(A))),quotient(i(A),j(j(j(j(quotient(A,
% j(A))))))))),
% j(j(j(j(quotient(A,j(A))))))) collapsed.
% Rule
% [1975]
% quotient(difference(A,quotient(difference(i(quotient(A,j(A))),B),quotient(A,
% j(A)))),
% quotient(t(A,quotient(eta(quotient(B,quotient(A,j(A)))),quotient(i(A),
% quotient(B,quotient(A,
% j(A)))))),
% quotient(B,quotient(A,j(A))))) ->
% t(quotient(t(A,quotient(eta(quotient(B,quotient(A,j(A)))),quotient(i(A),
% quotient(B,
% quotient(A,
% j(A)))))),quotient(B,
% quotient(A,
% j(A)))),
% quotient(B,quotient(A,j(A)))) collapsed.
% Rule
% [1978]
% quotient(quotient(quotient(A,quotient(B,j(B))),quotient(t(B,quotient(
% eta(quotient(A,
% quotient(B,
% j(B)))),
% quotient(
% i(B),quotient(A,
% quotient(B,
% j(B)))))),
% quotient(A,quotient(B,j(B))))),
% quotient(quotient(A,quotient(B,j(B))),difference(B,quotient(difference(
% i(quotient(B,
% j(B))),A),
% quotient(B,j(B)))))) ->
% quotient(A,quotient(B,j(B))) collapsed.
% Rule
% [2003]
% difference(t(quotient(t(A,quotient(eta(quotient(B,quotient(A,j(A)))),
% quotient(i(A),quotient(B,quotient(A,j(A)))))),
% quotient(B,quotient(A,j(A)))),quotient(B,quotient(A,j(A)))),
% difference(A,quotient(difference(i(quotient(A,j(A))),B),quotient(A,j(A)))))
% ->
% quotient(t(A,quotient(eta(quotient(B,quotient(A,j(A)))),quotient(i(A),
% quotient(B,quotient(A,
% j(A)))))),
% quotient(B,quotient(A,j(A)))) collapsed.
% Rule
% [2276]
% quotient(difference(A,quotient(difference(i(quotient(A,j(A))),difference(
% j(A),quotient(A,
% j(A)))),
% quotient(A,j(A)))),A) ->
% quotient(t(A,quotient(A,j(A))),A) collapsed.
% Current number of equations to process: 956
% Current number of ordered equations: 0
% Current number of rules: 1337
% New rule produced : [3036] quotient(j(A),t(A,i(quotient(A,j(A))))) -> A
% Current number of equations to process: 965
% Current number of ordered equations: 0
% Current number of rules: 1338
% Rule [2304]
% quotient(quotient(j(A),quotient(eta(A),i(t(A,i(quotient(A,j(A))))))),
% j(eta(A))) ->
% quotient(j(j(j(A))),quotient(eta(A),i(quotient(j(A),j(j(A)))))) is composed into
% [2304]
% quotient(quotient(j(A),quotient(eta(A),i(t(A,i(quotient(A,j(A))))))),
% j(eta(A))) ->
% quotient(j(j(j(A))),quotient(eta(A),i(t(A,i(quotient(A,j(A)))))))
% Rule [2210]
% quotient(j(A),quotient(eta(difference(A,j(A))),quotient(A,difference(A,
% j(A))))) ->
% i(quotient(j(A),j(j(A)))) is composed into [2210]
% quotient(j(A),quotient(
% eta(difference(A,
% j(A))),
% quotient(A,
% difference(A,
% j(A))))) ->
% i(t(A,i(quotient(A,j(A)))))
% Rule [1995]
% quotient(eta(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,
% j(A))),
% j(j(B)))),A),A)),
% quotient(i(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),j(j(B)))),A),A)))
% <->
% quotient(quotient(quotient(eta(quotient(j(B),j(j(B)))),quotient(
% i(quotient(A,
% j(A))),
% i(quotient(
% j(B),j(j(B)))))),A),A) is composed into
% [1995]
% quotient(eta(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),
% j(j(B)))),A),A)),quotient(
% i(quotient(
% quotient(
% quotient(
% eta(B),
% quotient(
% i(quotient(A,
% j(A))),B)),A),A)),
% quotient(
% quotient(
% quotient(
% eta(B),
% quotient(
% i(quotient(A,
% j(A))),
% j(j(B)))),A),A)))
% <->
% quotient(quotient(quotient(eta(quotient(j(B),j(j(B)))),quotient(i(quotient(A,
% j(A))),
% i(t(B,i(quotient(B,
% j(B))))))),A),A)
% Rule [1637]
% difference(B,quotient(quotient(eta(B),quotient(i(A),B)),quotient(
% quotient(
% j(quotient(
% i(quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(eta(B)))),
% j(j(B))),
% quotient(
% eta(B),quotient(
% i(A),B)))))
% -> quotient(quotient(eta(A),quotient(i(i(quotient(j(B),j(j(B))))),A)),B) is composed into
% [1637]
% difference(B,quotient(quotient(eta(B),quotient(i(A),B)),quotient(quotient(
% j(quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(j(B))),
% quotient(eta(B),
% quotient(i(A),B)))))
% -> quotient(quotient(eta(A),quotient(i(i(t(B,i(quotient(B,j(B)))))),A)),B)
% Rule [1254]
% quotient(i(A),j(j(A))) -> quotient(eta(A),i(quotient(j(A),j(j(A))))) is composed into
% [1254] quotient(i(A),j(j(A))) -> quotient(eta(A),i(t(A,i(quotient(A,j(A))))))
% New rule produced :
% [3037] i(quotient(j(A),j(j(A)))) -> i(t(A,i(quotient(A,j(A)))))
% Rule [1069] quotient(i(quotient(j(A),j(j(A)))),A) -> j(j(A)) collapsed.
% Rule
% [1347]
% quotient(difference(A,quotient(eta(A),i(quotient(j(A),j(j(A)))))),j(A)) ->
% i(quotient(j(j(A)),j(j(j(A))))) collapsed.
% Rule
% [1531]
% quotient(difference(i(i(i(A))),i(quotient(j(A),j(j(A))))),i(i(A))) ->
% quotient(eta(A),i(quotient(A,j(A)))) collapsed.
% Rule
% [1707]
% difference(i(i(A)),quotient(eta(A),i(quotient(eta(quotient(j(A),j(j(A)))),
% quotient(i(B),i(quotient(j(A),j(j(A)))))))))
% -> t(i(i(A)),quotient(eta(B),quotient(i(i(i(A))),B))) collapsed.
% Rule [1727] quotient(eta(A),i(i(quotient(j(A),j(j(A)))))) -> quotient(A,j(A))
% collapsed.
% Rule
% [1996]
% quotient(quotient(quotient(eta(quotient(j(B),j(j(B)))),quotient(i(quotient(A,
% j(A))),
% i(quotient(j(B),
% j(j(B)))))),A),A)
% <->
% quotient(eta(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),
% j(j(B)))),A),A)),quotient(
% i(quotient(
% quotient(
% quotient(
% eta(B),
% quotient(
% i(quotient(A,
% j(A))),B)),A),A)),
% quotient(
% quotient(
% quotient(
% eta(B),
% quotient(
% i(quotient(A,
% j(A))),
% j(j(B)))),A),A)))
% collapsed.
% Rule
% [2008]
% difference(quotient(quotient(A,j(A)),quotient(A,quotient(eta(A),i(quotient(A,
% j(A)))))),
% quotient(quotient(A,j(A)),quotient(quotient(difference(B,i(quotient(j(A),
% j(j(A))))),
% i(i(A))),quotient(eta(A),i(quotient(A,
% j(A))))))) ->
% quotient(quotient(quotient(eta(B),quotient(i(quotient(eta(A),i(quotient(
% quotient(A,
% j(A)),
% quotient(A,
% quotient(
% eta(A),
% i(quotient(A,
% j(A))))))))),B)),
% i(i(A))),quotient(eta(A),i(quotient(A,j(A))))) collapsed.
% Rule [2051] t(j(A),i(quotient(j(A),j(j(A))))) -> quotient(A,j(A)) collapsed.
% Rule [2058] quotient(A,i(quotient(j(A),j(j(A))))) -> j(A) collapsed.
% Rule
% [2108]
% i(quotient(j(t(eta(A),B)),j(j(t(eta(A),B))))) ->
% i(t(eta(A),quotient(j(B),j(j(B))))) collapsed.
% Rule
% [2196]
% difference(difference(A,j(A)),quotient(i(quotient(j(A),j(j(A)))),quotient(
% eta(
% difference(
% j(A),
% i(quotient(
% j(A),
% j(
% j(A)))))),
% quotient(
% i(i(
% quotient(
% j(A),
% j(
% j(A))))),
% difference(
% j(A),
% i(quotient(
% j(A),
% j(
% j(A)))))))))
% -> j(A) collapsed.
% Rule
% [2264]
% difference(i(quotient(j(A),j(j(A)))),quotient(difference(A,j(A)),quotient(
% eta(
% difference(A,
% difference(A,
% j(A)))),
% quotient(
% i(difference(A,
% j(A))),
% difference(A,
% difference(A,
% j(A)))))))
% -> A collapsed.
% Rule
% [2358]
% quotient(eta(A),i(quotient(quotient(quotient(j(A),j(j(A))),quotient(j(A),
% quotient(eta(A),
% i(quotient(
% j(A),j(j(A))))))),
% i(A)))) -> quotient(eta(A),i(quotient(j(A),j(j(A)))))
% collapsed.
% Rule
% [2386]
% difference(t(i(A),j(A)),quotient(eta(A),i(quotient(j(A),j(j(A)))))) -> i(A)
% collapsed.
% Rule
% [2557]
% difference(t(t(i(A),j(A)),i(A)),quotient(eta(A),i(quotient(j(A),j(j(A))))))
% -> t(i(A),j(A)) collapsed.
% Rule
% [2741]
% quotient(difference(j(A),quotient(difference(i(A),i(quotient(j(A),j(j(A))))),A)),
% j(j(A))) -> i(quotient(j(A),j(j(A)))) collapsed.
% Rule
% [2747]
% quotient(eta(A),quotient(j(j(j(j(A)))),i(quotient(j(A),j(j(A)))))) ->
% j(j(j(j(A)))) collapsed.
% Rule
% [2758]
% quotient(quotient(quotient(eta(A),quotient(i(i(quotient(j(A),j(j(A))))),i(A))),A),
% j(j(A))) ->
% quotient(i(quotient(j(A),j(j(A)))),quotient(eta(A),quotient(i(i(quotient(
% j(A),
% j(j(A))))),A)))
% collapsed.
% Rule
% [2764]
% difference(i(quotient(j(j(A)),j(j(j(A))))),quotient(j(j(j(A))),quotient(
% quotient(
% difference(B,
% i(A)),
% j(A)),
% j(j(j(A))))))
% ->
% quotient(quotient(quotient(eta(B),quotient(i(i(quotient(j(j(A)),j(j(j(A)))))),B)),
% j(A)),j(j(j(A)))) collapsed.
% Rule
% [2778]
% difference(i(quotient(j(A),j(j(A)))),quotient(j(j(A)),quotient(j(A),j(j(A)))))
% -> quotient(quotient(eta(A),i(t(A,i(quotient(j(A),j(j(A))))))),j(j(A)))
% collapsed.
% Rule
% [2823]
% quotient(i(quotient(j(A),j(j(A)))),quotient(eta(quotient(j(quotient(i(
% quotient(
% eta(
% quotient(
% j(A),
% j(
% j(A)))),
% quotient(
% j(A),
% i(
% quotient(
% j(A),
% j(
% j(A))))))),
% j(eta(A)))),
% j(j(A)))),quotient(i(
% i(
% quotient(
% j(A),
% j(
% j(A))))),
% quotient(j(
% quotient(
% i(
% quotient(
% eta(
% quotient(
% j(A),
% j(
% j(A)))),
% quotient(
% j(A),
% i(
% quotient(
% j(A),
% j(
% j(A))))))),
% j(
% eta(A)))),
% j(j(A)))))) ->
% quotient(eta(A),i(quotient(j(A),j(j(A))))) collapsed.
% Rule
% [3029]
% t(quotient(eta(A),i(quotient(j(A),j(j(A))))),i(quotient(j(A),j(j(A))))) ->
% i(quotient(j(A),j(j(A)))) collapsed.
% Current number of equations to process: 984
% Current number of ordered equations: 0
% Current number of rules: 1317
% Rule [2955]
% quotient(A,i(t(A,i(quotient(A,j(A)))))) ->
% t(i(t(A,i(quotient(A,j(A))))),i(A)) is composed into [2955]
% quotient(A,
% i(t(A,i(quotient(A,
% j(A))))))
% -> j(A)
% New rule produced : [3038] t(i(t(A,i(quotient(A,j(A))))),i(A)) -> j(A)
% Rule
% [2959]
% quotient(A,t(i(t(A,i(quotient(A,j(A))))),i(A))) ->
% t(t(i(t(A,i(quotient(A,j(A))))),i(A)),i(t(A,i(quotient(A,j(A)))))) collapsed.
% Rule [3030] quotient(eta(A),t(i(t(A,i(quotient(A,j(A))))),i(A))) -> A
% collapsed.
% Rule
% [3033]
% quotient(eta(A),t(A,t(i(t(A,i(quotient(A,j(A))))),i(A)))) ->
% t(t(A,t(i(t(A,i(quotient(A,j(A))))),i(A))),A) collapsed.
% Current number of equations to process: 983
% Current number of ordered equations: 0
% Current number of rules: 1315
% New rule produced :
% [3039] t(j(A),i(t(A,i(quotient(A,j(A)))))) -> quotient(A,j(A))
% Current number of equations to process: 982
% Current number of ordered equations: 0
% Current number of rules: 1316
% New rule produced :
% [3040]
% quotient(i(t(j(eta(A)),quotient(eta(A),j(eta(A))))),j(eta(A))) -> j(eta(A))
% Current number of equations to process: 981
% Current number of ordered equations: 0
% Current number of rules: 1317
% New rule produced :
% [3041]
% difference(t(i(A),j(A)),quotient(eta(A),i(t(A,i(quotient(A,j(A))))))) -> i(A)
% Current number of equations to process: 980
% Current number of ordered equations: 0
% Current number of rules: 1318
% New rule produced :
% [3042]
% t(j(quotient(eta(A),i(B))),j(eta(quotient(i(B),eta(A))))) ->
% eta(quotient(i(B),eta(A)))
% Current number of equations to process: 980
% Current number of ordered equations: 0
% Current number of rules: 1319
% New rule produced :
% [3043]
% quotient(quotient(eta(A),j(eta(quotient(i(B),eta(C))))),quotient(eta(C),i(B)))
% -> quotient(eta(A),i(quotient(i(B),eta(C))))
% Current number of equations to process: 980
% Current number of ordered equations: 0
% Current number of rules: 1320
% New rule produced :
% [3044]
% quotient(difference(i(i(i(A))),i(t(A,i(quotient(A,j(A)))))),i(i(A))) ->
% quotient(eta(A),i(quotient(A,j(A))))
% Current number of equations to process: 979
% Current number of ordered equations: 0
% Current number of rules: 1321
% New rule produced :
% [3045]
% i(t(eta(A),quotient(j(B),j(j(B))))) -> i(t(eta(A),t(B,i(quotient(B,j(B))))))
% Current number of equations to process: 977
% Current number of ordered equations: 0
% Current number of rules: 1322
% New rule produced : [3046] j(quotient(A,eta(B))) <-> quotient(eta(B),A)
% Rule [1133] j(quotient(i(B),eta(A))) <-> quotient(eta(A),i(B)) collapsed.
% Current number of equations to process: 983
% Current number of ordered equations: 0
% Current number of rules: 1322
% New rule produced : [3047] i(quotient(eta(A),i(B))) <-> quotient(i(B),eta(A))
% Current number of equations to process: 982
% Current number of ordered equations: 1
% Current number of rules: 1323
% New rule produced : [3048] quotient(i(B),eta(A)) <-> i(quotient(eta(A),i(B)))
% Rule [226] quotient(i(i(A)),eta(A)) -> i(i(i(i(A)))) collapsed.
% Rule [906] quotient(i(A),eta(A)) -> i(i(i(A))) collapsed.
% Rule [934] quotient(i(i(i(A))),eta(A)) -> i(i(i(i(i(A))))) collapsed.
% Rule [1046] quotient(i(i(i(i(i(A))))),eta(A)) -> i(i(i(i(i(i(i(A)))))))
% collapsed.
% Rule
% [1060] quotient(i(t(eta(A),B)),eta(A)) -> t(eta(A),quotient(i(B),eta(A)))
% collapsed.
% Rule
% [1201]
% i(quotient(i(t(A,i(quotient(A,j(A))))),eta(A))) ->
% quotient(eta(A),i(t(A,i(quotient(A,j(A)))))) collapsed.
% Rule [2113] quotient(i(i(i(i(A)))),eta(A)) -> i(i(i(i(i(i(A)))))) collapsed.
% Rule
% [2466]
% quotient(quotient(eta(A),quotient(i(i(i(i(i(i(i(A))))))),eta(A))),i(i(
% i(
% i(
% i(
% i(
% i(i(A)))))))))
% -> eta(A) collapsed.
% Rule [2591] quotient(i(i(i(i(i(i(A)))))),eta(A)) -> i(i(i(i(i(i(i(i(A))))))))
% collapsed.
% Rule
% [2637]
% quotient(i(i(t(eta(A),B))),eta(A)) -> t(eta(A),quotient(i(i(B)),eta(A)))
% collapsed.
% Rule
% [2639]
% t(eta(A),quotient(i(quotient(eta(A),j(eta(A)))),eta(A))) ->
% quotient(i(quotient(eta(A),j(eta(A)))),eta(A)) collapsed.
% Rule
% [2870]
% quotient(quotient(eta(A),quotient(i(i(i(i(i(i(i(i(A)))))))),eta(A))),
% i(i(i(i(i(i(i(i(i(A)))))))))) -> eta(A) collapsed.
% Rule
% [2905]
% t(eta(A),t(eta(A),quotient(i(quotient(j(eta(A)),j(eta(quotient(quotient(
% quotient(A,
% j(A)),
% eta(A)),A))))),
% eta(A)))) ->
% t(eta(A),quotient(i(quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,
% j(A)),
% eta(A)),A))))),
% eta(A))) collapsed.
% Current number of equations to process: 986
% Current number of ordered equations: 0
% Current number of rules: 1311
% New rule produced :
% [3049] i(t(eta(A),quotient(eta(A),i(B)))) <-> t(eta(A),quotient(i(B),eta(A)))
% Current number of equations to process: 985
% Current number of ordered equations: 1
% Current number of rules: 1312
% New rule produced :
% [3050] t(eta(A),quotient(i(B),eta(A))) <-> i(t(eta(A),quotient(eta(A),i(B))))
% Current number of equations to process: 985
% Current number of ordered equations: 0
% Current number of rules: 1313
% New rule produced :
% [3051] j(t(eta(A),quotient(i(C),eta(B)))) <-> t(eta(A),quotient(eta(B),i(C)))
% Rule
% [2906] j(t(eta(A),quotient(i(B),eta(A)))) <-> t(eta(A),quotient(eta(A),i(B)))
% collapsed.
% Current number of equations to process: 984
% Current number of ordered equations: 1
% Current number of rules: 1313
% New rule produced :
% [3052] t(eta(A),quotient(eta(B),i(C))) <-> j(t(eta(A),quotient(i(C),eta(B))))
% Rule
% [2907] t(eta(A),quotient(eta(A),i(B))) <-> j(t(eta(A),quotient(i(B),eta(A))))
% collapsed.
% Current number of equations to process: 984
% Current number of ordered equations: 0
% Current number of rules: 1313
% New rule produced :
% [3053]
% t(quotient(i(A),eta(B)),quotient(eta(B),i(A))) -> i(quotient(i(A),eta(B)))
% Current number of equations to process: 983
% Current number of ordered equations: 0
% Current number of rules: 1314
% New rule produced :
% [3054]
% t(quotient(eta(A),i(B)),quotient(i(B),eta(A))) -> j(j(quotient(i(B),eta(A))))
% Current number of equations to process: 981
% Current number of ordered equations: 0
% Current number of rules: 1315
% New rule produced :
% [3055]
% quotient(eta(quotient(i(A),eta(B))),quotient(eta(B),i(A))) ->
% quotient(i(A),eta(B))
% Current number of equations to process: 980
% Current number of ordered equations: 0
% Current number of rules: 1316
% New rule produced :
% [3056]
% quotient(j(quotient(eta(A),i(B))),quotient(i(B),eta(A))) ->
% j(eta(quotient(i(B),eta(A))))
% Current number of equations to process: 979
% Current number of ordered equations: 0
% Current number of rules: 1317
% New rule produced :
% [3057]
% i(i(quotient(eta(A),i(t(A,i(quotient(A,j(A)))))))) ->
% quotient(eta(A),i(t(A,i(quotient(A,j(A))))))
% Current number of equations to process: 983
% Current number of ordered equations: 0
% Current number of rules: 1318
% New rule produced :
% [3058]
% quotient(eta(A),j(quotient(i(B),eta(A)))) -> t(quotient(eta(A),i(B)),i(B))
% Current number of equations to process: 995
% Current number of ordered equations: 0
% Current number of rules: 1319
% New rule produced :
% [3059]
% quotient(quotient(i(A),j(quotient(i(A),eta(B)))),quotient(i(A),eta(B))) ->
% i(A)
% Current number of equations to process: 1000
% Current number of ordered equations: 0
% Current number of rules: 1320
% New rule produced :
% [3060]
% quotient(eta(quotient(i(A),eta(B))),quotient(i(i(A)),quotient(eta(B),i(A))))
% -> eta(B)
% Current number of equations to process: 999
% Current number of ordered equations: 0
% Current number of rules: 1321
% New rule produced :
% [3061]
% quotient(eta(quotient(eta(A),i(B))),quotient(i(i(B)),j(quotient(i(B),eta(A)))))
% -> eta(A)
% Current number of equations to process: 998
% Current number of ordered equations: 0
% Current number of rules: 1322
% New rule produced :
% [3062]
% difference(t(i(A),quotient(i(A),eta(B))),quotient(i(A),j(quotient(i(A),
% eta(B))))) ->
% i(A)
% Current number of equations to process: 997
% Current number of ordered equations: 0
% Current number of rules: 1323
% New rule produced :
% [3063]
% quotient(eta(A),t(j(quotient(i(B),eta(A))),i(B))) ->
% t(t(quotient(eta(A),i(B)),i(B)),quotient(eta(A),i(B)))
% Current number of equations to process: 996
% Current number of ordered equations: 0
% Current number of rules: 1324
% New rule produced :
% [3064]
% difference(t(t(i(A),j(A)),i(A)),quotient(eta(A),i(t(A,i(quotient(A,j(A)))))))
% -> t(i(A),j(A))
% Current number of equations to process: 995
% Current number of ordered equations: 0
% Current number of rules: 1325
% New rule produced :
% [3065] t(j(t(eta(A),B)),j(eta(A))) -> t(eta(A),t(j(B),j(eta(A))))
% Current number of equations to process: 995
% Current number of ordered equations: 0
% Current number of rules: 1326
% New rule produced : [3066] t(i(i(i(i(A)))),j(eta(A))) -> eta(A)
% Current number of equations to process: 996
% Current number of ordered equations: 0
% Current number of rules: 1327
% New rule produced :
% [3067] t(i(t(eta(A),B)),j(eta(A))) -> t(eta(A),t(i(B),j(eta(A))))
% Current number of equations to process: 995
% Current number of ordered equations: 0
% Current number of rules: 1328
% New rule produced :
% [3068] t(j(eta(A)),j(t(eta(A),B))) -> t(eta(A),t(j(eta(A)),j(B)))
% Current number of equations to process: 995
% Current number of ordered equations: 0
% Current number of rules: 1329
% New rule produced :
% [3069] t(j(eta(A)),i(t(eta(A),B))) -> t(eta(A),t(j(eta(A)),i(B)))
% Current number of equations to process: 995
% Current number of ordered equations: 0
% Current number of rules: 1330
% New rule produced :
% [3070]
% t(eta(A),t(j(eta(A)),quotient(eta(A),j(eta(A))))) ->
% t(j(eta(A)),quotient(eta(A),j(eta(A))))
% Current number of equations to process: 995
% Current number of ordered equations: 0
% Current number of rules: 1331
% New rule produced :
% [3071]
% quotient(eta(A),quotient(j(j(A)),i(t(A,i(quotient(A,j(A))))))) -> j(j(A))
% Current number of equations to process: 996
% Current number of ordered equations: 0
% Current number of rules: 1332
% New rule produced :
% [3072]
% quotient(i(t(eta(A),t(B,i(quotient(B,j(B)))))),i(i(t(eta(A),B)))) ->
% t(eta(A),B)
% Current number of equations to process: 1002
% Current number of ordered equations: 0
% Current number of rules: 1333
% Rule [3037] i(quotient(j(A),j(j(A)))) -> i(t(A,i(quotient(A,j(A))))) is composed into
% [3037] i(quotient(j(A),j(j(A)))) -> j(t(A,i(quotient(A,j(A)))))
% Rule [2768]
% quotient(quotient(i(A),quotient(eta(difference(j(j(A)),i(A))),quotient(
% i(
% i(A)),
% difference(
% j(
% j(A)),
% i(A))))),
% eta(A)) ->
% quotient(i(i(i(A))),quotient(eta(t(i(A),i(t(A,i(quotient(A,j(A))))))),
% quotient(i(i(i(i(A)))),i(t(i(A),i(t(A,i(quotient(A,
% j(A)))))))))) is composed into
% [2768]
% quotient(quotient(i(A),quotient(eta(difference(j(j(A)),i(A))),quotient(
% i(i(A)),
% difference(
% j(j(A)),
% i(A))))),
% eta(A)) ->
% quotient(i(i(i(A))),quotient(eta(t(i(A),j(t(A,i(quotient(A,j(A))))))),
% quotient(i(i(i(i(A)))),i(t(i(A),j(t(A,i(quotient(A,j(A))))))))))
% Rule [2210]
% quotient(j(A),quotient(eta(difference(A,j(A))),quotient(A,difference(A,
% j(A))))) ->
% i(t(A,i(quotient(A,j(A))))) is composed into [2210]
% quotient(j(A),quotient(
% eta(difference(A,
% j(A))),
% quotient(A,
% difference(A,
% j(A))))) ->
% j(t(A,i(quotient(A,j(A)))))
% Rule [2200]
% difference(j(A),j(eta(A))) ->
% quotient(j(A),quotient(eta(A),i(t(A,i(quotient(A,j(A))))))) is composed into
% [2200]
% difference(j(A),j(eta(A))) ->
% quotient(j(A),quotient(eta(A),j(t(A,i(quotient(A,j(A)))))))
% Rule [1995]
% quotient(eta(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,
% j(A))),
% j(j(B)))),A),A)),
% quotient(i(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),j(j(B)))),A),A)))
% <->
% quotient(quotient(quotient(eta(quotient(j(B),j(j(B)))),quotient(
% i(quotient(A,
% j(A))),
% i(t(B,i(quotient(B,
% j(B))))))),A),A) is composed into
% [1995]
% quotient(eta(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),
% j(j(B)))),A),A)),quotient(
% i(quotient(
% quotient(
% quotient(
% eta(B),
% quotient(
% i(quotient(A,
% j(A))),B)),A),A)),
% quotient(
% quotient(
% quotient(
% eta(B),
% quotient(
% i(quotient(A,
% j(A))),
% j(j(B)))),A),A)))
% <->
% quotient(quotient(quotient(eta(quotient(j(B),j(j(B)))),quotient(i(quotient(A,
% j(A))),
% j(t(B,i(quotient(B,
% j(B))))))),A),A)
% Rule [1869]
% quotient(quotient(difference(i(A),quotient(eta(B),i(quotient(eta(
% quotient(
% eta(C),
% quotient(
% i(i(A)),C))),
% quotient(i(A),
% quotient(eta(C),
% quotient(i(i(A)),C))))))),A),
% i(A)) ->
% quotient(quotient(quotient(quotient(quotient(eta(quotient(quotient(
% eta(difference(
% i(A),
% quotient(
% eta(B),
% i(C)))),
% quotient(
% i(t(A,
% i(quotient(A,
% j(A))))),
% difference(
% i(A),quotient(
% eta(B),
% i(C))))),
% i(A))),quotient(
% i(quotient(
% eta(quotient(
% eta(x1),
% quotient(
% i(A),x1))),
% quotient(
% i(i(A)),
% quotient(
% eta(x1),
% quotient(
% i(A),x1))))),
% quotient(
% quotient(
% eta(difference(
% i(A),
% quotient(
% eta(B),
% i(C)))),
% quotient(
% i(t(A,i(
% quotient(A,
% j(A))))),
% difference(
% i(A),quotient(
% eta(B),
% i(C))))),
% i(A)))),
% i(A)),A),x1),i(A)) is composed into [1869]
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% eta(B),
% i(
% quotient(
% eta(
% quotient(
% eta(C),
% quotient(
% i(
% i(A)),C))),
% quotient(
% i(A),
% quotient(
% eta(C),
% quotient(
% i(
% i(A)),C))))))),A),
% i(A)) ->
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(
% eta(
% quotient(
% quotient(
% eta(
% difference(
% i(A),
% quotient(
% eta(B),
% i(C)))),
% quotient(
% j(
% t(A,
% i(
% quotient(A,
% j(A))))),
% difference(
% i(A),
% quotient(
% eta(B),
% i(C))))),
% i(A))),
% quotient(
% i(
% quotient(
% eta(
% quotient(
% eta(x1),
% quotient(
% i(A),x1))),
% quotient(
% i(
% i(A)),
% quotient(
% eta(x1),
% quotient(
% i(A),x1))))),
% quotient(
% quotient(
% eta(
% difference(
% i(A),
% quotient(
% eta(B),
% i(C)))),
% quotient(
% j(
% t(A,
% i(
% quotient(A,
% j(A))))),
% difference(
% i(A),
% quotient(
% eta(B),
% i(C))))),
% i(A)))),
% i(A)),A),x1),
% i(A))
% Rule [1854]
% difference(i(A),quotient(eta(A),i(B))) ->
% quotient(quotient(quotient(quotient(quotient(eta(quotient(quotient(
% eta(difference(
% i(A),B)),
% quotient(
% i(t(A,
% i(quotient(A,
% j(A))))),
% difference(
% i(A),B))),
% i(A))),quotient(
% i(quotient(
% eta(quotient(
% eta(x1),
% quotient(
% i(A),x1))),
% quotient(
% i(i(A)),
% quotient(
% eta(x1),
% quotient(
% i(A),x1))))),
% quotient(
% quotient(
% eta(difference(
% i(A),B)),
% quotient(
% i(t(A,i(
% quotient(A,
% j(A))))),
% difference(
% i(A),B))),
% i(A)))),
% i(A)),A),x1),i(A)) is composed into [1854]
% difference(
% i(A),
% quotient(
% eta(A),
% i(B))) ->
% quotient(
% quotient(
% quotient(
% quotient(
% quotient(
% eta(
% quotient(
% quotient(
% eta(
% difference(
% i(A),B)),
% quotient(
% j(
% t(A,
% i(
% quotient(A,
% j(A))))),
% difference(
% i(A),B))),
% i(A))),
% quotient(
% i(
% quotient(
% eta(
% quotient(
% eta(x1),
% quotient(
% i(A),x1))),
% quotient(
% i(
% i(A)),
% quotient(
% eta(x1),
% quotient(
% i(A),x1))))),
% quotient(
% quotient(
% eta(
% difference(
% i(A),B)),
% quotient(
% j(
% t(A,
% i(
% quotient(A,
% j(A))))),
% difference(
% i(A),B))),
% i(A)))),
% i(A)),A),x1),
% i(A))
% Rule [1637]
% difference(B,quotient(quotient(eta(B),quotient(i(A),B)),quotient(
% quotient(
% j(quotient(
% i(quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(eta(B)))),
% j(j(B))),
% quotient(
% eta(B),quotient(
% i(A),B)))))
% ->
% quotient(quotient(eta(A),quotient(i(i(t(B,i(quotient(B,j(B)))))),A)),B) is composed into
% [1637]
% difference(B,quotient(quotient(eta(B),quotient(i(A),B)),quotient(quotient(
% j(quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(j(B))),
% quotient(eta(B),
% quotient(i(A),B)))))
% -> quotient(quotient(eta(A),quotient(i(j(t(B,i(quotient(B,j(B)))))),A)),B)
% Rule [1255]
% quotient(i(i(i(A))),A) -> quotient(eta(A),i(t(A,i(quotient(A,j(A)))))) is composed into
% [1255] quotient(i(i(i(A))),A) -> quotient(eta(A),j(t(A,i(quotient(A,j(A))))))
% Rule [1254]
% quotient(i(A),j(j(A))) -> quotient(eta(A),i(t(A,i(quotient(A,j(A)))))) is composed into
% [1254] quotient(i(A),j(j(A))) -> quotient(eta(A),j(t(A,i(quotient(A,j(A))))))
% Rule [1125] quotient(A,i(A)) -> i(t(A,i(quotient(A,j(A))))) is composed into
% [1125] quotient(A,i(A)) -> j(t(A,i(quotient(A,j(A)))))
% New rule produced :
% [3073] i(t(A,i(quotient(A,j(A))))) -> j(t(A,i(quotient(A,j(A)))))
% Rule [1132] quotient(i(t(A,i(quotient(A,j(A))))),A) -> j(j(A)) collapsed.
% Rule [1138] quotient(i(t(A,i(quotient(A,j(A))))),i(i(A))) -> A collapsed.
% Rule [1139] i(i(t(A,i(quotient(A,j(A)))))) -> t(A,i(quotient(A,j(A))))
% collapsed.
% Rule [1140] difference(j(j(A)),i(t(A,i(quotient(A,j(A)))))) -> A collapsed.
% Rule
% [1351]
% quotient(quotient(t(i(A),i(t(A,i(quotient(A,j(A)))))),A),i(A)) ->
% i(t(A,i(quotient(A,j(A))))) collapsed.
% Rule [1360] quotient(i(t(i(A),i(t(A,i(quotient(A,j(A))))))),i(A)) -> j(A)
% collapsed.
% Rule
% [1363]
% difference(i(A),t(i(A),i(t(A,i(quotient(A,j(A))))))) ->
% quotient(quotient(A,j(A)),i(A)) collapsed.
% Rule
% [1369]
% quotient(t(quotient(eta(A),i(t(A,i(quotient(A,j(A)))))),i(t(A,i(quotient(A,
% j(A)))))),
% j(j(A))) -> j(j(j(j(A)))) collapsed.
% Rule
% [1372]
% quotient(difference(i(i(A)),quotient(eta(A),i(t(A,i(quotient(A,j(A))))))),
% i(A)) -> i(quotient(A,j(A))) collapsed.
% Rule
% [1389]
% quotient(quotient(i(t(A,i(quotient(A,j(A))))),quotient(j(j(A)),i(t(A,
% i(quotient(A,
% j(A))))))),
% j(j(j(j(A))))) -> i(t(A,i(quotient(A,j(A))))) collapsed.
% Rule
% [1731]
% quotient(i(t(i(i(i(A))),i(t(i(i(A)),i(t(i(A),i(t(A,i(quotient(A,j(A))))))))))),
% i(i(i(A)))) -> i(A) collapsed.
% Rule
% [1990]
% quotient(difference(i(A),quotient(difference(i(t(A,i(quotient(A,j(A))))),B),
% t(A,i(quotient(A,j(A)))))),quotient(B,t(A,i(
% quotient(A,
% j(A))))))
% ->
% quotient(quotient(quotient(eta(A),quotient(i(quotient(eta(quotient(B,
% t(A,i(quotient(A,
% j(A)))))),
% quotient(i(i(A)),quotient(B,
% t(A,i(quotient(A,
% j(A)))))))),
% i(A))),i(A)),quotient(B,t(A,i(quotient(A,
% j(A))))))
% collapsed.
% Rule
% [2054]
% quotient(quotient(A,t(A,i(quotient(A,j(A))))),i(t(A,i(quotient(A,j(A)))))) ->
% A collapsed.
% Rule
% [2055]
% quotient(quotient(i(A),i(t(A,i(quotient(A,j(A)))))),t(A,i(quotient(A,j(A)))))
% -> i(A) collapsed.
% Rule [2169] difference(A,i(t(A,i(quotient(A,j(A)))))) -> i(i(A)) collapsed.
% Rule
% [2176] difference(i(A),i(t(i(A),i(t(A,i(quotient(A,j(A)))))))) -> i(i(i(A)))
% collapsed.
% Rule
% [2180]
% difference(i(i(A)),i(t(i(i(A)),i(t(i(A),i(t(A,i(quotient(A,j(A)))))))))) ->
% i(i(i(i(A)))) collapsed.
% Rule
% [2202] quotient(i(t(i(A),i(t(A,i(quotient(A,j(A))))))),i(i(i(A)))) -> i(A)
% collapsed.
% Rule
% [2223]
% quotient(i(i(A)),t(quotient(eta(A),i(t(A,i(quotient(A,j(A)))))),i(t(A,
% i(quotient(A,
% j(A)))))))
% -> i(A) collapsed.
% Rule
% [2225]
% quotient(j(eta(A)),quotient(eta(quotient(j(A),quotient(eta(A),i(t(A,i(
% quotient(A,
% j(A)))))))),
% quotient(eta(A),quotient(j(A),quotient(eta(A),i(t(A,
% i(
% quotient(A,
% j(A))))))))))
% -> i(A) collapsed.
% Rule
% [2241]
% quotient(quotient(i(A),quotient(eta(A),i(t(i(i(A)),i(t(i(A),i(t(A,i(quotient(A,
% j(A))))))))))),
% j(eta(A))) -> quotient(j(A),quotient(eta(A),i(t(A,i(quotient(A,j(A)))))))
% collapsed.
% Rule
% [2254]
% quotient(i(t(i(i(i(A))),i(t(i(i(A)),i(t(i(A),i(t(A,i(quotient(A,j(A))))))))))),
% i(i(i(i(i(A)))))) -> i(i(i(A))) collapsed.
% Rule
% [2257]
% quotient(i(i(i(i(A)))),t(quotient(eta(A),i(t(i(i(A)),i(t(i(A),i(t(A,i(
% quotient(A,
% j(A)))))))))),
% i(t(i(i(A)),i(t(i(A),i(t(A,i(quotient(A,j(A)))))))))))
% -> i(i(i(A))) collapsed.
% Rule
% [2259]
% quotient(i(t(i(i(A)),i(t(i(A),i(t(A,i(quotient(A,j(A))))))))),i(i(i(i(A)))))
% -> i(i(A)) collapsed.
% Rule
% [2292]
% quotient(i(i(A)),quotient(eta(A),i(t(i(i(i(A))),i(t(i(i(A)),i(t(i(A),
% i(t(A,i(
% quotient(A,
% j(A)))))))))))))
% -> quotient(i(i(A)),quotient(eta(A),i(quotient(A,j(A))))) collapsed.
% Rule
% [2304]
% quotient(quotient(j(A),quotient(eta(A),i(t(A,i(quotient(A,j(A))))))),
% j(eta(A))) ->
% quotient(j(j(j(A))),quotient(eta(A),i(t(A,i(quotient(A,j(A))))))) collapsed.
% Rule
% [2349]
% quotient(i(i(i(i(i(A))))),t(quotient(eta(A),i(t(i(i(i(A))),i(t(i(i(A)),
% i(t(i(A),
% i(t(A,
% i(quotient(A,
% j(A)))))))))))),
% i(t(i(i(i(A))),i(t(i(i(A)),i(t(i(A),i(t(A,i(
% quotient(A,
% j(A)))))))))))))
% -> i(i(i(i(A)))) collapsed.
% Rule [2363] difference(j(A),i(t(i(A),i(t(A,i(quotient(A,j(A)))))))) -> i(A)
% collapsed.
% Rule
% [2366]
% difference(A,i(t(i(i(A)),i(t(i(A),i(t(A,i(quotient(A,j(A)))))))))) -> i(i(A))
% collapsed.
% Rule
% [2377]
% difference(i(A),i(t(i(i(i(A))),i(t(i(i(A)),i(t(i(A),i(t(A,i(quotient(A,j(A))))))))))))
% -> i(i(i(A))) collapsed.
% Rule
% [2388]
% difference(t(A,i(t(A,i(quotient(A,j(A)))))),quotient(A,t(A,i(quotient(A,j(A))))))
% -> A collapsed.
% Rule
% [2392]
% difference(t(i(A),t(A,i(quotient(A,j(A))))),quotient(i(A),i(t(A,i(quotient(A,
% j(A)))))))
% -> i(A) collapsed.
% Rule [2406] quotient(i(t(A,i(quotient(A,j(A))))),j(j(A))) -> j(j(j(j(A))))
% collapsed.
% Rule
% [2409] quotient(i(t(i(A),i(t(A,i(quotient(A,j(A))))))),j(A)) -> j(j(j(A)))
% collapsed.
% Rule
% [2412]
% quotient(i(t(i(i(A)),i(t(i(A),i(t(A,i(quotient(A,j(A))))))))),A) -> j(j(A))
% collapsed.
% Rule
% [2421]
% quotient(i(t(i(i(i(A))),i(t(i(i(A)),i(t(i(A),i(t(A,i(quotient(A,j(A))))))))))),
% i(A)) -> j(A) collapsed.
% Rule
% [2433]
% quotient(quotient(quotient(A,t(A,i(quotient(A,j(A))))),quotient(i(t(A,
% i(quotient(A,
% j(A))))),
% quotient(A,t(A,
% i(quotient(A,
% j(A))))))),A)
% -> quotient(A,t(A,i(quotient(A,j(A))))) collapsed.
% Rule
% [2435]
% quotient(i(t(i(i(i(i(A)))),i(t(i(i(i(A))),i(t(i(i(A)),i(t(i(A),i(t(A,
% i(quotient(A,
% j(A))))))))))))),
% i(i(A))) -> A collapsed.
% Rule
% [2444]
% quotient(quotient(A,t(A,i(quotient(A,j(A))))),t(A,i(t(A,i(quotient(A,j(A)))))))
% -> t(t(A,i(t(A,i(quotient(A,j(A)))))),A) collapsed.
% Rule
% [2449]
% quotient(quotient(i(A),i(t(A,i(quotient(A,j(A)))))),t(i(A),t(A,i(quotient(A,
% j(A)))))) ->
% t(t(i(A),t(A,i(quotient(A,j(A))))),i(A)) collapsed.
% Rule
% [2456]
% difference(i(i(A)),i(t(i(i(i(i(A)))),i(t(i(i(i(A))),i(t(i(i(A)),i(t(i(A),
% i(t(A,
% i(
% quotient(A,
% j(A))))))))))))))
% -> i(i(i(i(A)))) collapsed.
% Rule
% [2484]
% quotient(quotient(i(t(i(A),i(t(A,i(quotient(A,j(A))))))),quotient(i(i(i(A))),
% i(t(i(A),i(t(A,
% i(
% quotient(A,
% j(A))))))))),
% i(A)) -> i(t(i(A),i(t(A,i(quotient(A,j(A))))))) collapsed.
% Rule
% [2498]
% quotient(t(A,i(quotient(A,j(A)))),quotient(eta(A),quotient(i(t(A,i(quotient(A,
% j(A))))),
% i(A)))) -> A collapsed.
% Rule
% [2505]
% quotient(quotient(quotient(i(A),i(t(A,i(quotient(A,j(A)))))),quotient(
% t(A,i(quotient(A,
% j(A)))),
% quotient(
% i(A),i(t(A,
% i(
% quotient(A,
% j(A)))))))),
% i(A)) -> quotient(i(A),i(t(A,i(quotient(A,j(A)))))) collapsed.
% Rule
% [2513]
% quotient(i(t(i(i(i(i(A)))),i(t(i(i(i(A))),i(t(i(i(A)),i(t(i(A),i(t(A,
% i(quotient(A,
% j(A))))))))))))),
% i(i(i(i(i(i(A))))))) -> i(i(i(i(A)))) collapsed.
% Rule [2534] difference(j(j(j(j(A)))),i(t(A,i(quotient(A,j(A)))))) -> j(j(A))
% collapsed.
% Rule
% [2538] difference(j(j(j(A))),i(t(i(A),i(t(A,i(quotient(A,j(A)))))))) -> j(A)
% collapsed.
% Rule
% [2539]
% difference(j(j(A)),i(t(i(i(A)),i(t(i(A),i(t(A,i(quotient(A,j(A)))))))))) -> A
% collapsed.
% Rule
% [2542]
% difference(j(A),i(t(i(i(i(A))),i(t(i(i(A)),i(t(i(A),i(t(A,i(quotient(A,j(A))))))))))))
% -> i(A) collapsed.
% Rule
% [2553]
% difference(A,i(t(i(i(i(i(A)))),i(t(i(i(i(A))),i(t(i(i(A)),i(t(i(A),i(
% t(A,
% i(
% quotient(A,
% j(A))))))))))))))
% -> i(i(A)) collapsed.
% Rule
% [2561]
% difference(t(t(A,i(t(A,i(quotient(A,j(A)))))),A),quotient(A,t(A,i(quotient(A,
% j(A))))))
% -> t(A,i(t(A,i(quotient(A,j(A)))))) collapsed.
% Rule
% [2564]
% difference(t(t(i(A),t(A,i(quotient(A,j(A))))),i(A)),quotient(i(A),i(t(A,
% i(
% quotient(A,
% j(A)))))))
% -> t(i(A),t(A,i(quotient(A,j(A))))) collapsed.
% Rule
% [2572]
% quotient(i(t(A,i(quotient(A,j(A))))),j(j(j(j(A))))) -> j(j(j(j(j(j(A))))))
% collapsed.
% Rule
% [2576]
% quotient(i(t(i(A),i(t(A,i(quotient(A,j(A))))))),j(j(j(A)))) ->
% j(j(j(j(j(A))))) collapsed.
% Rule
% [2578]
% quotient(i(t(i(i(A)),i(t(i(A),i(t(A,i(quotient(A,j(A))))))))),j(j(A))) ->
% j(j(j(j(A)))) collapsed.
% Rule
% [2580]
% quotient(i(t(i(i(i(A))),i(t(i(i(A)),i(t(i(A),i(t(A,i(quotient(A,j(A))))))))))),
% j(A)) -> j(j(j(A))) collapsed.
% Rule
% [2585]
% quotient(i(t(i(i(i(i(A)))),i(t(i(i(i(A))),i(t(i(i(A)),i(t(i(A),i(t(A,
% i(quotient(A,
% j(A))))))))))))),A)
% -> j(j(A)) collapsed.
% Rule
% [2598]
% quotient(quotient(A,t(A,i(quotient(A,j(A))))),t(t(A,i(t(A,i(quotient(A,j(A)))))),A))
% -> t(t(t(A,i(t(A,i(quotient(A,j(A)))))),A),t(A,i(t(A,i(quotient(A,j(A)))))))
% collapsed.
% Rule
% [2653]
% quotient(quotient(i(A),i(t(A,i(quotient(A,j(A)))))),t(t(i(A),t(A,i(quotient(A,
% j(A))))),
% i(A))) ->
% t(t(t(i(A),t(A,i(quotient(A,j(A))))),i(A)),t(i(A),t(A,i(quotient(A,j(A))))))
% collapsed.
% Rule [2713] quotient(i(i(A)),i(t(A,i(quotient(A,j(A)))))) -> i(A) collapsed.
% Rule
% [2714]
% quotient(quotient(i(t(A,i(quotient(A,j(A))))),i(A)),A) ->
% i(t(A,i(quotient(A,j(A))))) collapsed.
% Rule
% [2746] difference(i(i(A)),t(i(A),i(t(A,i(quotient(A,j(A))))))) -> i(i(A))
% collapsed.
% Rule [2748] quotient(t(i(A),i(t(A,i(quotient(A,j(A)))))),i(i(A))) -> i(i(A))
% collapsed.
% Rule
% [2793]
% quotient(i(t(i(i(i(i(i(A))))),i(t(i(i(i(i(A)))),i(t(i(i(i(A))),i(t(i(i(A)),
% i(t(
% i(A),
% i(
% t(A,
% i(
% quotient(A,
% j(A))))))))))))))),
% i(A)) -> j(A) collapsed.
% Rule
% [2808]
% quotient(quotient(i(i(i(i(i(A))))),quotient(eta(t(i(i(i(A))),i(t(i(i(A)),
% i(t(i(A),
% i(t(A,
% i(
% quotient(A,
% j(A))))))))))),
% quotient(i(i(i(i(i(i(A)))))),i(t(i(
% i(i(A))),
% i(t(
% i(i(A)),
% i(
% t(
% i(A),
% i(
% t(A,
% i(
% quotient(A,
% j(A)))))))))))))),
% i(i(i(i(A))))) -> i(i(i(i(A)))) collapsed.
% Rule
% [2811]
% difference(i(A),i(t(i(i(i(i(i(A))))),i(t(i(i(i(i(A)))),i(t(i(i(i(A))),
% i(t(i(i(A)),
% i(t(i(A),i(
% t(A,
% i(
% quotient(A,
% j(A))))))))))))))))
% -> i(i(i(A))) collapsed.
% Rule
% [2828]
% quotient(i(t(i(i(i(i(i(A))))),i(t(i(i(i(i(A)))),i(t(i(i(i(A))),i(t(i(i(A)),
% i(t(
% i(A),
% i(
% t(A,
% i(
% quotient(A,
% j(A))))))))))))))),
% i(i(i(A)))) -> i(A) collapsed.
% Rule
% [2947]
% quotient(eta(A),i(t(i(A),i(t(A,i(quotient(A,j(A)))))))) ->
% quotient(eta(A),i(quotient(A,j(A)))) collapsed.
% Rule [2955] quotient(A,i(t(A,i(quotient(A,j(A)))))) -> j(A) collapsed.
% Rule
% [2960]
% quotient(i(i(i(A))),t(quotient(eta(A),i(quotient(A,j(A)))),i(t(i(A),i(
% t(A,
% i(
% quotient(A,
% j(A)))))))))
% -> i(i(A)) collapsed.
% Rule
% [3025]
% quotient(eta(A),t(i(A),i(t(A,i(quotient(A,j(A))))))) ->
% t(A,i(quotient(A,j(A)))) collapsed.
% Rule
% [3026]
% quotient(eta(A),quotient(j(j(j(j(A)))),i(t(A,i(quotient(A,j(A))))))) ->
% j(j(j(j(A)))) collapsed.
% Rule
% [3028]
% quotient(i(t(A,i(quotient(A,j(A))))),j(j(j(j(j(j(A))))))) ->
% j(j(j(j(j(j(j(j(A)))))))) collapsed.
% Rule
% [3034]
% quotient(i(t(A,i(quotient(A,j(A))))),j(j(j(j(j(j(j(j(A))))))))) ->
% j(j(j(j(j(j(j(j(j(j(A)))))))))) collapsed.
% Rule [3038] t(i(t(A,i(quotient(A,j(A))))),i(A)) -> j(A) collapsed.
% Rule [3039] t(j(A),i(t(A,i(quotient(A,j(A)))))) -> quotient(A,j(A))
% collapsed.
% Rule
% [3041]
% difference(t(i(A),j(A)),quotient(eta(A),i(t(A,i(quotient(A,j(A))))))) -> i(A)
% collapsed.
% Rule
% [3044]
% quotient(difference(i(i(i(A))),i(t(A,i(quotient(A,j(A)))))),i(i(A))) ->
% quotient(eta(A),i(quotient(A,j(A)))) collapsed.
% Rule
% [3057]
% i(i(quotient(eta(A),i(t(A,i(quotient(A,j(A)))))))) ->
% quotient(eta(A),i(t(A,i(quotient(A,j(A)))))) collapsed.
% Rule
% [3064]
% difference(t(t(i(A),j(A)),i(A)),quotient(eta(A),i(t(A,i(quotient(A,j(A)))))))
% -> t(i(A),j(A)) collapsed.
% Rule
% [3071]
% quotient(eta(A),quotient(j(j(A)),i(t(A,i(quotient(A,j(A))))))) -> j(j(A))
% collapsed.
% Current number of equations to process: 1083
% Current number of ordered equations: 0
% Current number of rules: 1253
% New rule produced : [3074] quotient(A,j(t(A,i(quotient(A,j(A)))))) -> j(A)
% Current number of equations to process: 1082
% Current number of ordered equations: 0
% Current number of rules: 1254
% New rule produced : [3075] quotient(j(t(A,i(quotient(A,j(A))))),A) -> j(j(A))
% Current number of equations to process: 1081
% Current number of ordered equations: 0
% Current number of rules: 1255
% New rule produced :
% [3076] difference(A,j(t(A,i(quotient(A,j(A)))))) -> i(i(A))
% Current number of equations to process: 1080
% Current number of ordered equations: 0
% Current number of rules: 1256
% New rule produced : [3077] t(j(t(A,i(quotient(A,j(A))))),i(A)) -> j(A)
% Current number of equations to process: 1079
% Current number of ordered equations: 0
% Current number of rules: 1257
% New rule produced : [3078] quotient(j(t(A,i(quotient(A,j(A))))),i(i(A))) -> A
% Current number of equations to process: 1078
% Current number of ordered equations: 0
% Current number of rules: 1258
% New rule produced :
% [3079] difference(j(j(A)),j(t(A,i(quotient(A,j(A)))))) -> A
% Current number of equations to process: 1077
% Current number of ordered equations: 0
% Current number of rules: 1259
% New rule produced :
% [3080] j(j(t(A,i(quotient(A,j(A)))))) -> t(A,i(quotient(A,j(A))))
% Current number of equations to process: 1076
% Current number of ordered equations: 0
% Current number of rules: 1260
% New rule produced :
% [3081] quotient(i(i(A)),j(t(A,i(quotient(A,j(A)))))) -> i(A)
% Current number of equations to process: 1075
% Current number of ordered equations: 0
% Current number of rules: 1261
% New rule produced :
% [3082] t(j(A),j(t(A,i(quotient(A,j(A)))))) -> quotient(A,j(A))
% Current number of equations to process: 1074
% Current number of ordered equations: 0
% Current number of rules: 1262
% New rule produced :
% [3083] quotient(j(t(A,i(quotient(A,j(A))))),j(j(A))) -> j(j(j(j(A))))
% Current number of equations to process: 1073
% Current number of ordered equations: 0
% Current number of rules: 1263
% New rule produced :
% [3084] difference(j(j(j(j(A)))),j(t(A,i(quotient(A,j(A)))))) -> j(j(A))
% Current number of equations to process: 1072
% Current number of ordered equations: 0
% Current number of rules: 1264
% New rule produced :
% [3085] quotient(i(t(i(A),j(t(A,i(quotient(A,j(A))))))),i(A)) -> j(A)
% Current number of equations to process: 1071
% Current number of ordered equations: 0
% Current number of rules: 1265
% New rule produced :
% [3086] difference(j(A),i(t(i(A),j(t(A,i(quotient(A,j(A)))))))) -> i(A)
% Current number of equations to process: 1070
% Current number of ordered equations: 0
% Current number of rules: 1266
% New rule produced :
% [3087] difference(i(i(A)),t(i(A),j(t(A,i(quotient(A,j(A))))))) -> i(i(A))
% Current number of equations to process: 1069
% Current number of ordered equations: 0
% Current number of rules: 1267
% New rule produced :
% [3088] quotient(t(i(A),j(t(A,i(quotient(A,j(A)))))),i(i(A))) -> i(i(A))
% Current number of equations to process: 1068
% Current number of ordered equations: 0
% Current number of rules: 1268
% New rule produced :
% [3089]
% quotient(eta(A),quotient(j(j(A)),j(t(A,i(quotient(A,j(A))))))) -> j(j(A))
% Current number of equations to process: 1067
% Current number of ordered equations: 0
% Current number of rules: 1269
% New rule produced :
% [3090] difference(i(A),i(t(i(A),j(t(A,i(quotient(A,j(A)))))))) -> i(i(i(A)))
% Current number of equations to process: 1066
% Current number of ordered equations: 0
% Current number of rules: 1270
% New rule produced :
% [3091]
% quotient(quotient(j(t(A,i(quotient(A,j(A))))),i(A)),A) ->
% j(t(A,i(quotient(A,j(A)))))
% Current number of equations to process: 1065
% Current number of ordered equations: 0
% Current number of rules: 1271
% New rule produced :
% [3092] quotient(i(t(i(A),j(t(A,i(quotient(A,j(A))))))),j(A)) -> j(j(j(A)))
% Current number of equations to process: 1064
% Current number of ordered equations: 0
% Current number of rules: 1272
% New rule produced :
% [3093]
% difference(i(A),t(i(A),j(t(A,i(quotient(A,j(A))))))) ->
% quotient(quotient(A,j(A)),i(A))
% Current number of equations to process: 1063
% Current number of ordered equations: 0
% Current number of rules: 1273
% New rule produced :
% [3094]
% quotient(j(t(A,i(quotient(A,j(A))))),j(j(j(j(A))))) -> j(j(j(j(j(j(A))))))
% Current number of equations to process: 1062
% Current number of ordered equations: 0
% Current number of rules: 1274
% New rule produced :
% [3095]
% quotient(eta(A),t(i(A),j(t(A,i(quotient(A,j(A))))))) ->
% t(A,i(quotient(A,j(A))))
% Current number of equations to process: 1061
% Current number of ordered equations: 0
% Current number of rules: 1275
% New rule produced :
% [3096] quotient(i(t(i(A),j(t(A,i(quotient(A,j(A))))))),i(i(i(A)))) -> i(A)
% Current number of equations to process: 1060
% Current number of ordered equations: 0
% Current number of rules: 1276
% New rule produced :
% [3097]
% difference(t(i(A),j(A)),quotient(eta(A),j(t(A,i(quotient(A,j(A))))))) -> i(A)
% Current number of equations to process: 1059
% Current number of ordered equations: 0
% Current number of rules: 1277
% New rule produced :
% [3098] difference(j(j(j(A))),i(t(i(A),j(t(A,i(quotient(A,j(A)))))))) -> j(A)
% Current number of equations to process: 1058
% Current number of ordered equations: 0
% Current number of rules: 1278
% New rule produced :
% [3099]
% i(i(quotient(eta(A),j(t(A,i(quotient(A,j(A)))))))) ->
% quotient(eta(A),j(t(A,i(quotient(A,j(A))))))
% Current number of equations to process: 1057
% Current number of ordered equations: 0
% Current number of rules: 1279
% New rule produced :
% [3100]
% quotient(quotient(A,t(A,i(quotient(A,j(A))))),j(t(A,i(quotient(A,j(A)))))) ->
% A
% Current number of equations to process: 1056
% Current number of ordered equations: 0
% Current number of rules: 1280
% New rule produced :
% [3101]
% quotient(eta(A),i(t(i(A),j(t(A,i(quotient(A,j(A)))))))) ->
% quotient(eta(A),i(quotient(A,j(A))))
% Current number of equations to process: 1058
% Current number of ordered equations: 0
% Current number of rules: 1281
% New rule produced :
% [3102]
% quotient(eta(A),quotient(j(j(j(j(A)))),j(t(A,i(quotient(A,j(A))))))) ->
% j(j(j(j(A))))
% Current number of equations to process: 1058
% Current number of ordered equations: 0
% Current number of rules: 1282
% New rule produced :
% [3103]
% quotient(quotient(t(i(A),j(t(A,i(quotient(A,j(A)))))),A),i(A)) ->
% j(t(A,i(quotient(A,j(A)))))
% Current number of equations to process: 1057
% Current number of ordered equations: 0
% Current number of rules: 1283
% New rule produced :
% [3104]
% quotient(quotient(i(A),j(t(A,i(quotient(A,j(A)))))),t(A,i(quotient(A,j(A)))))
% -> i(A)
% Current number of equations to process: 1056
% Current number of ordered equations: 0
% Current number of rules: 1284
% New rule produced :
% [3105]
% quotient(i(t(i(A),j(t(A,i(quotient(A,j(A))))))),j(j(j(A)))) ->
% j(j(j(j(j(A)))))
% Current number of equations to process: 1055
% Current number of ordered equations: 0
% Current number of rules: 1285
% New rule produced :
% [3106]
% quotient(difference(i(i(A)),quotient(eta(A),j(t(A,i(quotient(A,j(A))))))),
% i(A)) -> i(quotient(A,j(A)))
% Current number of equations to process: 1054
% Current number of ordered equations: 0
% Current number of rules: 1286
% New rule produced :
% [3107]
% difference(A,i(t(i(i(A)),i(t(i(A),j(t(A,i(quotient(A,j(A)))))))))) -> i(i(A))
% Current number of equations to process: 1053
% Current number of ordered equations: 0
% Current number of rules: 1287
% New rule produced :
% [3108]
% difference(t(A,j(t(A,i(quotient(A,j(A)))))),quotient(A,t(A,i(quotient(A,j(A))))))
% -> A
% Current number of equations to process: 1052
% Current number of ordered equations: 0
% Current number of rules: 1288
% New rule produced :
% [3109]
% quotient(i(t(i(i(A)),i(t(i(A),j(t(A,i(quotient(A,j(A))))))))),A) -> j(j(A))
% Current number of equations to process: 1051
% Current number of ordered equations: 0
% Current number of rules: 1289
% New rule produced :
% [3110]
% quotient(j(t(A,i(quotient(A,j(A))))),j(j(j(j(j(j(A))))))) ->
% j(j(j(j(j(j(j(j(A))))))))
% Current number of equations to process: 1050
% Current number of ordered equations: 0
% Current number of rules: 1290
% New rule produced :
% [3111]
% quotient(difference(i(i(i(A))),j(t(A,i(quotient(A,j(A)))))),i(i(A))) ->
% quotient(eta(A),i(quotient(A,j(A))))
% Current number of equations to process: 1049
% Current number of ordered equations: 0
% Current number of rules: 1291
% New rule produced :
% [3112]
% difference(j(j(A)),i(t(i(i(A)),i(t(i(A),j(t(A,i(quotient(A,j(A)))))))))) -> A
% Current number of equations to process: 1048
% Current number of ordered equations: 0
% Current number of rules: 1292
% New rule produced :
% [3113]
% quotient(t(A,i(quotient(A,j(A)))),quotient(eta(A),quotient(j(t(A,i(quotient(A,
% j(A))))),
% i(A)))) -> A
% Current number of equations to process: 1047
% Current number of ordered equations: 0
% Current number of rules: 1293
% New rule produced :
% [3114]
% difference(t(t(i(A),j(A)),i(A)),quotient(eta(A),j(t(A,i(quotient(A,j(A)))))))
% -> t(i(A),j(A))
% Current number of equations to process: 1046
% Current number of ordered equations: 0
% Current number of rules: 1294
% New rule produced :
% [3115]
% quotient(quotient(eta(A),j(eta(B))),i(i(B))) ->
% quotient(eta(A),i(i(i(i(B)))))
% Rule
% [1226]
% quotient(quotient(quotient(eta(A),j(eta(B))),i(i(B))),i(B)) ->
% quotient(eta(A),j(eta(B))) collapsed.
% Rule
% [1810]
% quotient(j(quotient(i(quotient(eta(quotient(quotient(eta(A),j(eta(B))),
% i(i(B)))),quotient(j(A),quotient(quotient(
% eta(A),
% j(
% eta(B))),
% i(i(B)))))),
% j(eta(A)))),j(j(A))) -> i(i(i(B))) collapsed.
% Current number of equations to process: 1054
% Current number of ordered equations: 0
% Current number of rules: 1293
% New rule produced :
% [3116]
% quotient(quotient(eta(A),j(eta(B))),quotient(eta(A),i(i(i(B))))) ->
% t(quotient(eta(A),i(i(i(B)))),i(B))
% Current number of equations to process: 1061
% Current number of ordered equations: 0
% Current number of rules: 1294
% New rule produced :
% [3117]
% quotient(quotient(i(A),quotient(eta(B),i(i(i(A))))),quotient(i(A),quotient(
% eta(B),
% j(eta(A)))))
% -> i(A)
% Current number of equations to process: 1060
% Current number of ordered equations: 0
% Current number of rules: 1295
% New rule produced : [3118] t(A,j(j(j(A)))) -> i(i(i(A)))
% Rule [1433] difference(t(A,j(j(j(A)))),quotient(eta(A),j(eta(A)))) -> A
% collapsed.
% Rule
% [1440]
% quotient(quotient(eta(A),j(eta(A))),t(A,j(j(j(A))))) -> t(t(A,j(j(j(A)))),A)
% collapsed.
% Current number of equations to process: 1063
% Current number of ordered equations: 0
% Current number of rules: 1294
% New rule produced : [3119] t(i(i(A)),j(A)) -> i(i(i(i(i(A)))))
% Current number of equations to process: 1062
% Current number of ordered equations: 0
% Current number of rules: 1295
% Rule [2310]
% difference(i(i(i(A))),quotient(eta(A),j(eta(A)))) ->
% quotient(i(i(i(A))),quotient(eta(A),quotient(i(i(i(i(A)))),j(A)))) is composed into
% [2310] difference(i(i(i(A))),quotient(eta(A),j(eta(A)))) -> A
% New rule produced :
% [3120]
% quotient(i(i(i(A))),quotient(eta(A),quotient(i(i(i(i(A)))),j(A)))) -> A
% Rule
% [2510]
% quotient(quotient(eta(A),j(eta(A))),quotient(eta(quotient(i(i(i(A))),
% quotient(eta(A),quotient(
% i(i(i(i(A)))),
% j(A))))),
% quotient(i(quotient(eta(A),j(eta(A)))),
% quotient(i(i(i(A))),quotient(eta(A),
% quotient(i(i(i(i(A)))),
% j(A))))))) ->
% j(A) collapsed.
% Current number of equations to process: 1062
% Current number of ordered equations: 0
% Current number of rules: 1295
% New rule produced :
% [3121] quotient(quotient(eta(A),j(eta(A))),i(i(i(A)))) -> t(i(i(i(A))),A)
% Current number of equations to process: 1061
% Current number of ordered equations: 0
% Current number of rules: 1296
% New rule produced :
% [3122]
% quotient(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(i(quotient(
% eta(A),
% j(eta(A)))),A)))
% -> j(A)
% Current number of equations to process: 1064
% Current number of ordered equations: 0
% Current number of rules: 1297
% New rule produced :
% [3123] t(B,quotient(eta(B),quotient(j(eta(A)),i(B)))) -> quotient(eta(A),B)
% Current number of equations to process: 1070
% Current number of ordered equations: 0
% Current number of rules: 1298
% New rule produced :
% [3124] quotient(eta(A),quotient(eta(B),quotient(j(eta(A)),i(i(B))))) -> i(B)
% Current number of equations to process: 1071
% Current number of ordered equations: 0
% Current number of rules: 1299
% New rule produced :
% [3125]
% quotient(eta(A),quotient(i(quotient(eta(A),quotient(j(eta(B)),i(A)))),A)) ->
% eta(B)
% Current number of equations to process: 1078
% Current number of ordered equations: 0
% Current number of rules: 1300
% New rule produced :
% [3126]
% quotient(eta(A),j(quotient(j(eta(A)),j(t(eta(B),eta(C)))))) ->
% t(eta(B),eta(C))
% Current number of equations to process: 1077
% Current number of ordered equations: 0
% Current number of rules: 1301
% New rule produced :
% [3127]
% quotient(quotient(eta(A),quotient(quotient(eta(B),quotient(j(eta(A)),i(B))),
% eta(A))),B) -> eta(A)
% Current number of equations to process: 1076
% Current number of ordered equations: 0
% Current number of rules: 1302
% Rule [2830]
% quotient(difference(B,i(i(A))),A) ->
% quotient(quotient(eta(A),quotient(i(B),A)),quotient(eta(quotient(
% j(quotient(
% i(quotient(
% eta(B),
% quotient(
% j(A),B))),
% j(eta(A)))),
% j(j(A)))),
% quotient(i(quotient(eta(A),
% quotient(i(B),A))),
% quotient(j(quotient(i(
% quotient(
% eta(B),
% quotient(
% j(A),B))),
% j(eta(A)))),
% j(j(A)))))) is composed into
% [2830]
% quotient(difference(B,i(i(A))),A) ->
% quotient(quotient(eta(A),quotient(i(B),A)),quotient(eta(j(quotient(eta(B),
% quotient(j(eta(A)),
% i(B))))),quotient(
% i(
% quotient(
% eta(A),
% quotient(
% i(B),A))),
% j(
% quotient(
% eta(B),
% quotient(
% j(
% eta(A)),
% i(B)))))))
% Rule [1963]
% t(t(t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A))),
% quotient(t(eta(A),B),quotient(C,eta(A)))),t(quotient(t(eta(A),B),
% quotient(C,eta(A))),
% quotient(C,eta(A)))) <->
% t(eta(A),t(t(t(quotient(B,quotient(j(quotient(i(quotient(eta(C),
% quotient(j(A),C))),
% j(eta(A)))),j(j(A)))),quotient(
% j(quotient(
% i(quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(eta(A)))),
% j(j(A)))),
% quotient(B,quotient(j(quotient(i(quotient(eta(C),quotient(
% j(A),C))),
% j(eta(A)))),j(j(A))))),t(quotient(B,
% quotient(
% j(quotient(
% i(quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(eta(A)))),
% j(j(A)))),
% quotient(
% j(quotient(
% i(quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(eta(A)))),
% j(j(A)))))) is composed into
% [1963]
% t(t(t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A))),quotient(
% t(
% eta(A),B),
% quotient(C,
% eta(A)))),
% t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A)))) <->
% t(eta(A),t(t(t(quotient(B,j(quotient(eta(C),quotient(j(eta(A)),i(C))))),
% j(quotient(eta(C),quotient(j(eta(A)),i(C))))),quotient(B,
% j(quotient(
% eta(C),quotient(
% j(
% eta(A)),
% i(C)))))),
% t(quotient(B,j(quotient(eta(C),quotient(j(eta(A)),i(C))))),j(
% quotient(
% eta(C),
% quotient(
% j(
% eta(A)),
% i(C)))))))
% Rule [1747]
% t(t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A))),
% quotient(t(eta(A),B),quotient(C,eta(A)))) <->
% t(eta(A),t(t(quotient(B,quotient(j(quotient(i(quotient(eta(C),quotient(
% j(A),C))),
% j(eta(A)))),j(j(A)))),quotient(
% j(quotient(
% i(quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(eta(A)))),
% j(j(A)))),
% quotient(B,quotient(j(quotient(i(quotient(eta(C),quotient(
% j(A),C))),
% j(eta(A)))),j(j(A)))))) is composed into
% [1747]
% t(t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A))),quotient(
% t(eta(A),B),
% quotient(C,
% eta(A))))
% <->
% t(eta(A),t(t(quotient(B,j(quotient(eta(C),quotient(j(eta(A)),i(C))))),
% j(quotient(eta(C),quotient(j(eta(A)),i(C))))),quotient(B,j(
% quotient(
% eta(C),
% quotient(
% j(
% eta(A)),
% i(C)))))))
% Rule [1596]
% difference(eta(A),B) ->
% quotient(j(quotient(i(quotient(eta(B),quotient(j(A),B))),j(eta(A)))),
% j(j(A))) is composed into [1596]
% difference(eta(A),B) ->
% j(quotient(eta(B),quotient(j(eta(A)),i(B))))
% Rule [1593]
% quotient(t(eta(A),B),difference(j(quotient(i(C),eta(A))),V_3)) <->
% t(eta(A),quotient(B,quotient(j(quotient(i(quotient(eta(difference(C,
% quotient(
% quotient(
% i(quotient(
% j(quotient(
% i(quotient(
% eta(V_3),
% quotient(
% j(A),V_3))),
% j(eta(A)))),
% j(j(A)))),
% quotient(
% eta(difference(V_3,
% i(quotient(
% j(quotient(
% i(
% quotient(
% eta(V_3),
% quotient(
% j(A),V_3))),
% j(
% eta(A)))),
% j(j(A)))))),
% quotient(
% i(i(quotient(
% j(quotient(
% i(quotient(
% eta(V_3),
% quotient(
% j(A),V_3))),
% j(eta(A)))),
% j(j(A))))),
% difference(V_3,
% i(quotient(
% j(quotient(
% i(quotient(
% eta(V_3),
% quotient(
% j(A),V_3))),
% j(eta(A)))),
% j(j(A)))))))),
% quotient(
% j(quotient(
% i(quotient(
% eta(V_3),
% quotient(
% j(A),V_3))),
% j(eta(A)))),
% j(j(A)))))),
% quotient(j(A),difference(C,
% quotient(
% quotient(
% i(quotient(
% j(quotient(
% i(quotient(
% eta(V_3),
% quotient(
% j(A),V_3))),
% j(eta(A)))),
% j(j(A)))),
% quotient(
% eta(difference(V_3,
% i(quotient(
% j(
% quotient(
% i(
% quotient(
% eta(V_3),
% quotient(
% j(A),V_3))),
% j(
% eta(A)))),
% j(
% j(A)))))),
% quotient(
% i(i(quotient(
% j(quotient(
% i(
% quotient(
% eta(V_3),
% quotient(
% j(A),V_3))),
% j(
% eta(A)))),
% j(j(A))))),
% difference(V_3,
% i(quotient(
% j(quotient(
% i(quotient(
% eta(V_3),
% quotient(
% j(A),V_3))),
% j(eta(A)))),
% j(j(A)))))))),
% quotient(
% j(quotient(
% i(quotient(
% eta(V_3),
% quotient(
% j(A),V_3))),
% j(eta(A)))),
% j(j(A)))))))),
% j(eta(A)))),j(j(A))))) is composed into
% [1593]
% quotient(t(eta(A),B),difference(j(quotient(i(C),eta(A))),V_3)) <->
% t(eta(A),quotient(B,j(quotient(eta(difference(C,quotient(quotient(i(j(
% quotient(
% eta(V_3),
% quotient(
% j(
% eta(A)),
% i(V_3))))),
% quotient(eta(
% difference(V_3,
% i(j(
% quotient(
% eta(V_3),
% quotient(
% j(
% eta(A)),
% i(V_3))))))),
% quotient(i(i(
% j(
% quotient(
% eta(V_3),
% quotient(
% j(
% eta(A)),
% i(V_3)))))),
% difference(V_3,
% i(j(quotient(
% eta(V_3),
% quotient(
% j(eta(A)),
% i(V_3))))))))),
% j(quotient(eta(V_3),quotient(
% j(
% eta(A)),
% i(V_3))))))),
% quotient(j(eta(A)),i(difference(C,quotient(quotient(
% i(j(
% quotient(
% eta(V_3),
% quotient(
% j(
% eta(A)),
% i(V_3))))),
% quotient(
% eta(
% difference(V_3,
% i(j(
% quotient(
% eta(V_3),
% quotient(
% j(
% eta(A)),
% i(V_3))))))),
% quotient(
% i(i(
% j(
% quotient(
% eta(V_3),
% quotient(
% j(
% eta(A)),
% i(V_3)))))),
% difference(V_3,
% i(j(
% quotient(
% eta(V_3),
% quotient(
% j(
% eta(A)),
% i(V_3))))))))),
% j(quotient(eta(V_3),
% quotient(j(eta(A)),
% i(V_3))))))))))))
% Rule [1487]
% quotient(t(eta(A),B),quotient(eta(C),i(V_3))) <->
% t(eta(A),quotient(B,quotient(j(quotient(i(quotient(eta(quotient(
% eta(C),i(
% quotient(V_3,
% j(
% eta(A)))))),
% quotient(j(A),quotient(
% eta(C),i(
% quotient(V_3,
% j(
% eta(A)))))))),
% j(eta(A)))),j(j(A))))) is composed into
% [1487]
% quotient(t(eta(A),B),quotient(eta(C),i(V_3))) <->
% t(eta(A),quotient(B,j(quotient(eta(quotient(eta(C),i(quotient(V_3,j(eta(A)))))),
% quotient(j(eta(A)),i(quotient(eta(C),i(quotient(V_3,
% j(eta(A)))))))))))
% Rule [1412]
% quotient(eta(t(eta(A),B)),quotient(i(quotient(C,eta(A))),t(eta(A),B)))
% <->
% t(eta(A),quotient(eta(B),quotient(i(quotient(j(quotient(i(quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(eta(A)))),j(j(A)))),B))) is composed into
% [1412]
% quotient(eta(t(eta(A),B)),quotient(i(quotient(C,eta(A))),t(eta(A),B))) <->
% t(eta(A),quotient(eta(B),quotient(i(j(quotient(eta(C),quotient(j(eta(A)),
% i(C))))),B)))
% Rule [1384]
% difference(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(V_3,eta(A)))
% <->
% t(eta(A),difference(quotient(B,quotient(j(quotient(i(quotient(eta(C),
% quotient(j(A),C))),
% j(eta(A)))),j(j(A)))),
% quotient(j(quotient(i(quotient(eta(V_3),quotient(j(A),V_3))),
% j(eta(A)))),j(j(A))))) is composed into [1384]
% difference(
% quotient(
% t(eta(A),B),
% quotient(C,
% eta(A))),
% quotient(V_3,
% eta(A))) <->
% t(eta(A),
% difference(
% quotient(B,
% j(quotient(
% eta(C),
% quotient(
% j(
% eta(A)),
% i(C))))),
% j(quotient(
% eta(V_3),
% quotient(
% j(
% eta(A)),
% i(V_3))))))
% Rule [1382]
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(V_3,eta(A)))
% <->
% t(eta(A),quotient(quotient(B,quotient(j(quotient(i(quotient(eta(C),
% quotient(j(A),C))),
% j(eta(A)))),j(j(A)))),quotient(
% j(
% quotient(
% i(
% quotient(
% eta(V_3),
% quotient(
% j(A),V_3))),
% j(
% eta(A)))),
% j(
% j(A))))) is composed into
% [1382]
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(V_3,eta(A))) <->
% t(eta(A),quotient(quotient(B,j(quotient(eta(C),quotient(j(eta(A)),i(C))))),
% j(quotient(eta(V_3),quotient(j(eta(A)),i(V_3))))))
% Rule [1380]
% t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A))) <->
% t(eta(A),t(quotient(B,quotient(j(quotient(i(quotient(eta(C),quotient(
% j(A),C))),
% j(eta(A)))),j(j(A)))),quotient(
% j(quotient(
% i(quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(eta(A)))),
% j(j(A))))) is composed into
% [1380]
% t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A))) <->
% t(eta(A),t(quotient(B,j(quotient(eta(C),quotient(j(eta(A)),i(C))))),j(
% quotient(
% eta(C),
% quotient(
% j(
% eta(A)),
% i(C))))))
% Rule [1343]
% quotient(eta(A),i(quotient(t(eta(A),B),quotient(C,eta(A))))) <->
% t(eta(A),quotient(eta(A),i(quotient(B,quotient(j(quotient(i(quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(eta(A)))),j(j(A))))))) is composed into
% [1343]
% quotient(eta(A),i(quotient(t(eta(A),B),quotient(C,eta(A))))) <->
% t(eta(A),quotient(eta(A),i(quotient(B,j(quotient(eta(C),quotient(j(eta(A)),
% i(C))))))))
% Rule [1340]
% t(t(eta(A),B),difference(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),t(B,difference(quotient(j(quotient(i(quotient(eta(C),quotient(
% j(A),C))),
% j(eta(A)))),j(j(A))),V_3))) is composed into
% [1340]
% t(t(eta(A),B),difference(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),t(B,difference(j(quotient(eta(C),quotient(j(eta(A)),i(C)))),V_3)))
% Rule [1337]
% t(t(eta(A),B),quotient(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),t(B,quotient(quotient(j(quotient(i(quotient(eta(C),quotient(
% j(A),C))),
% j(eta(A)))),j(j(A))),V_3))) is composed into
% [1337]
% t(t(eta(A),B),quotient(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),t(B,quotient(j(quotient(eta(C),quotient(j(eta(A)),i(C)))),V_3)))
% Rule [1335]
% t(quotient(t(eta(A),B),quotient(C,eta(A))),t(eta(A),V_3)) <->
% t(eta(A),t(quotient(B,quotient(j(quotient(i(quotient(eta(C),quotient(
% j(A),C))),
% j(eta(A)))),j(j(A)))),V_3)) is composed into
% [1335]
% t(quotient(t(eta(A),B),quotient(C,eta(A))),t(eta(A),V_3)) <->
% t(eta(A),t(quotient(B,j(quotient(eta(C),quotient(j(eta(A)),i(C))))),V_3))
% Rule [1334]
% t(t(eta(A),B),quotient(t(eta(A),C),quotient(V_3,eta(A)))) <->
% t(eta(A),t(B,quotient(C,quotient(j(quotient(i(quotient(eta(V_3),
% quotient(j(A),V_3))),
% j(eta(A)))),j(j(A)))))) is composed into
% [1334]
% t(t(eta(A),B),quotient(t(eta(A),C),quotient(V_3,eta(A)))) <->
% t(eta(A),t(B,quotient(C,j(quotient(eta(V_3),quotient(j(eta(A)),i(V_3)))))))
% Rule [1329]
% quotient(t(eta(A),B),difference(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),quotient(B,difference(quotient(j(quotient(i(quotient(eta(C),
% quotient(j(A),C))),
% j(eta(A)))),j(j(A))),V_3))) is composed into
% [1329]
% quotient(t(eta(A),B),difference(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),quotient(B,difference(j(quotient(eta(C),quotient(j(eta(A)),i(C)))),V_3)))
% Rule [1323]
% quotient(t(eta(A),B),quotient(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),quotient(B,quotient(quotient(j(quotient(i(quotient(eta(C),
% quotient(j(A),C))),
% j(eta(A)))),j(j(A))),V_3))) is composed into
% [1323]
% quotient(t(eta(A),B),quotient(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),quotient(B,quotient(j(quotient(eta(C),quotient(j(eta(A)),i(C)))),V_3)))
% Rule [1319]
% difference(j(eta(A)),quotient(t(eta(A),B),quotient(C,eta(A)))) <->
% t(eta(A),difference(j(eta(A)),quotient(B,quotient(j(quotient(i(quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(eta(A)))),
% j(j(A)))))) is composed into
% [1319]
% difference(j(eta(A)),quotient(t(eta(A),B),quotient(C,eta(A)))) <->
% t(eta(A),difference(j(eta(A)),quotient(B,j(quotient(eta(C),quotient(j(eta(A)),
% i(C)))))))
% Rule [1317]
% quotient(j(eta(A)),quotient(t(eta(A),B),quotient(C,eta(A)))) <->
% t(eta(A),quotient(j(eta(A)),quotient(B,quotient(j(quotient(i(quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(eta(A)))),j(j(A)))))) is composed into
% [1317]
% quotient(j(eta(A)),quotient(t(eta(A),B),quotient(C,eta(A)))) <->
% t(eta(A),quotient(j(eta(A)),quotient(B,j(quotient(eta(C),quotient(j(eta(A)),
% i(C)))))))
% Rule [1315]
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),j(eta(A))) <->
% quotient(eta(A),i(quotient(B,quotient(j(quotient(i(quotient(eta(C),
% quotient(j(A),C))),
% j(eta(A)))),j(j(A)))))) is composed into
% [1315]
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),j(eta(A))) ->
% quotient(eta(A),i(quotient(B,j(quotient(eta(C),quotient(j(eta(A)),i(C)))))))
% Rule [1313]
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),t(eta(A),V_3)) <->
% t(eta(A),quotient(quotient(B,quotient(j(quotient(i(quotient(eta(C),
% quotient(j(A),C))),
% j(eta(A)))),j(j(A)))),V_3)) is composed into
% [1313]
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),t(eta(A),V_3)) <->
% t(eta(A),quotient(quotient(B,j(quotient(eta(C),quotient(j(eta(A)),i(C))))),V_3))
% Rule [1312]
% quotient(t(eta(A),B),quotient(t(eta(A),C),quotient(V_3,eta(A)))) <->
% t(eta(A),quotient(B,quotient(C,quotient(j(quotient(i(quotient(eta(V_3),
% quotient(j(A),V_3))),
% j(eta(A)))),j(j(A)))))) is composed into
% [1312]
% quotient(t(eta(A),B),quotient(t(eta(A),C),quotient(V_3,eta(A)))) <->
% t(eta(A),quotient(B,quotient(C,j(quotient(eta(V_3),quotient(j(eta(A)),i(V_3)))))))
% Rule [1286]
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),eta(A)) <->
% t(eta(A),quotient(quotient(B,quotient(j(quotient(i(quotient(eta(C),
% quotient(j(A),C))),
% j(eta(A)))),j(j(A)))),eta(A))) is composed into
% [1286]
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),eta(A)) <->
% t(eta(A),quotient(quotient(B,j(quotient(eta(C),quotient(j(eta(A)),i(C))))),
% eta(A)))
% Rule [1284]
% quotient(eta(A),quotient(t(eta(A),B),quotient(C,eta(A)))) <->
% t(eta(A),quotient(eta(A),quotient(B,quotient(j(quotient(i(quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(eta(A)))),j(j(A)))))) is composed into
% [1284]
% quotient(eta(A),quotient(t(eta(A),B),quotient(C,eta(A)))) <->
% t(eta(A),quotient(eta(A),quotient(B,j(quotient(eta(C),quotient(j(eta(A)),
% i(C)))))))
% Rule [1224]
% difference(t(eta(A),B),C) ->
% t(eta(A),difference(B,quotient(j(quotient(i(quotient(eta(quotient(C,
% j(eta(A)))),
% quotient(j(A),quotient(C,
% j(eta(A)))))),
% j(eta(A)))),j(j(A))))) is composed into
% [1224]
% difference(t(eta(A),B),C) ->
% t(eta(A),difference(B,j(quotient(eta(quotient(C,j(eta(A)))),quotient(
% j(eta(A)),
% i(quotient(C,
% j(eta(A)))))))))
% Rule [1223]
% quotient(t(eta(A),B),C) <->
% t(eta(A),quotient(B,quotient(j(quotient(i(quotient(eta(quotient(C,
% j(eta(A)))),
% quotient(j(A),quotient(C,
% j(eta(A)))))),
% j(eta(A)))),j(j(A))))) is composed into
% [1223]
% quotient(t(eta(A),B),C) <->
% t(eta(A),quotient(B,j(quotient(eta(quotient(C,j(eta(A)))),quotient(j(eta(A)),
% i(quotient(C,
% j(eta(A)))))))))
% Rule [1208]
% difference(i(t(eta(A),B)),quotient(C,eta(A))) ->
% t(eta(A),difference(i(B),quotient(j(quotient(i(quotient(eta(C),quotient(
% j(A),C))),
% j(eta(A)))),j(j(A))))) is composed into
% [1208]
% difference(i(t(eta(A),B)),quotient(C,eta(A))) ->
% t(eta(A),difference(i(B),j(quotient(eta(C),quotient(j(eta(A)),i(C))))))
% Rule [1207]
% difference(j(t(eta(A),B)),quotient(C,eta(A))) ->
% t(eta(A),difference(j(B),quotient(j(quotient(i(quotient(eta(C),quotient(
% j(A),C))),
% j(eta(A)))),j(j(A))))) is composed into
% [1207]
% difference(j(t(eta(A),B)),quotient(C,eta(A))) ->
% t(eta(A),difference(j(B),j(quotient(eta(C),quotient(j(eta(A)),i(C))))))
% Rule [1206]
% quotient(i(t(eta(A),B)),quotient(C,eta(A))) <->
% t(eta(A),quotient(i(B),quotient(j(quotient(i(quotient(eta(C),quotient(
% j(A),C))),
% j(eta(A)))),j(j(A))))) is composed into
% [1206]
% quotient(i(t(eta(A),B)),quotient(C,eta(A))) <->
% t(eta(A),quotient(i(B),j(quotient(eta(C),quotient(j(eta(A)),i(C))))))
% Rule [1204]
% quotient(j(t(eta(A),B)),quotient(C,eta(A))) <->
% t(eta(A),quotient(j(B),quotient(j(quotient(i(quotient(eta(C),quotient(
% j(A),C))),
% j(eta(A)))),j(j(A))))) is composed into
% [1204]
% quotient(j(t(eta(A),B)),quotient(C,eta(A))) <->
% t(eta(A),quotient(j(B),j(quotient(eta(C),quotient(j(eta(A)),i(C))))))
% Rule [1188]
% quotient(t(eta(A),B),A) <->
% t(eta(A),quotient(B,quotient(j(quotient(i(quotient(eta(j(j(A))),
% quotient(j(A),j(j(A))))),
% j(eta(A)))),j(j(A))))) is composed into
% [1188]
% quotient(t(eta(A),B),A) ->
% t(eta(A),quotient(B,j(quotient(eta(j(j(A))),quotient(j(eta(A)),i(j(j(A))))))))
% Rule [1177]
% t(t(eta(A),B),quotient(C,eta(A))) <->
% t(eta(A),t(B,quotient(j(quotient(i(quotient(eta(C),quotient(j(A),C))),
% j(eta(A)))),j(j(A))))) is composed into
% [1177]
% t(t(eta(A),B),quotient(C,eta(A))) <->
% t(eta(A),t(B,j(quotient(eta(C),quotient(j(eta(A)),i(C))))))
% Rule [307]
% quotient(t(eta(A),B),quotient(C,eta(A))) <->
% t(eta(A),quotient(B,quotient(j(quotient(i(quotient(eta(C),quotient(
% j(A),C))),
% j(eta(A)))),j(j(A))))) is composed into
% [307]
% quotient(t(eta(A),B),quotient(C,eta(A))) <->
% t(eta(A),quotient(B,j(quotient(eta(C),quotient(j(eta(A)),i(C))))))
% New rule produced :
% [3128]
% quotient(j(quotient(i(quotient(eta(A),quotient(j(B),A))),j(eta(B)))),j(j(B)))
% -> j(quotient(eta(A),quotient(j(eta(B)),i(A))))
% Rule
% [1605]
% t(eta(A),eta(quotient(j(quotient(i(quotient(eta(B),quotient(j(A),B))),
% j(eta(A)))),j(j(A))))) -> eta(quotient(B,eta(A)))
% collapsed.
% Rule
% [1609]
% quotient(j(quotient(i(quotient(eta(t(eta(A),B)),quotient(j(A),t(eta(A),B)))),
% j(eta(A)))),j(j(A))) -> quotient(B,eta(A)) collapsed.
% Rule
% [1610]
% t(j(A),quotient(j(quotient(i(quotient(eta(B),quotient(j(A),B))),j(eta(A)))),
% j(j(A)))) -> quotient(quotient(eta(A),quotient(i(B),i(A))),j(A))
% collapsed.
% Rule
% [1611]
% quotient(quotient(eta(A),quotient(i(B),A)),quotient(j(quotient(i(quotient(
% eta(B),
% quotient(
% j(A),B))),
% j(eta(A)))),j(j(A))))
% -> j(j(A)) collapsed.
% Rule
% [1612]
% t(j(j(A)),quotient(j(quotient(i(quotient(eta(B),quotient(j(A),B))),j(eta(A)))),
% j(j(A)))) -> quotient(quotient(eta(A),quotient(i(B),A)),j(j(A)))
% collapsed.
% Rule
% [1613]
% t(eta(B),quotient(quotient(j(quotient(i(quotient(eta(A),quotient(j(B),A))),
% j(eta(B)))),j(j(B))),C)) ->
% quotient(quotient(A,eta(B)),t(eta(B),C)) collapsed.
% Rule
% [1614]
% t(eta(B),difference(quotient(j(quotient(i(quotient(eta(A),quotient(j(B),A))),
% j(eta(B)))),j(j(B))),C)) ->
% difference(quotient(A,eta(B)),t(eta(B),C)) collapsed.
% Rule
% [1616]
% t(eta(B),t(quotient(j(quotient(i(quotient(eta(A),quotient(j(B),A))),j(eta(B)))),
% j(j(B))),C)) -> t(quotient(A,eta(B)),t(eta(B),C)) collapsed.
% Rule
% [1620]
% t(eta(A),difference(j(eta(A)),quotient(j(quotient(i(quotient(eta(B),quotient(
% j(A),B))),
% j(eta(A)))),j(j(A))))) ->
% difference(j(eta(A)),quotient(B,eta(A))) collapsed.
% Rule
% [1621]
% t(eta(A),quotient(eta(A),i(quotient(j(quotient(i(quotient(eta(B),quotient(
% j(A),B))),
% j(eta(A)))),j(j(A)))))) -> t(eta(A),B)
% collapsed.
% Rule
% [1622]
% t(j(j(j(A))),quotient(j(quotient(i(quotient(eta(B),quotient(j(A),B))),
% j(eta(A)))),j(j(A)))) ->
% quotient(quotient(eta(A),quotient(i(B),j(A))),j(j(j(A)))) collapsed.
% Rule
% [1624]
% quotient(quotient(C,eta(A)),t(eta(A),difference(B,quotient(j(quotient(
% i(quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(eta(A)))),
% j(j(A)))))) -> t(eta(A),B)
% collapsed.
% Rule
% [1637]
% difference(B,quotient(quotient(eta(B),quotient(i(A),B)),quotient(quotient(
% j(quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(j(B))),
% quotient(eta(B),
% quotient(i(A),B)))))
% -> quotient(quotient(eta(A),quotient(i(j(t(B,i(quotient(B,j(B)))))),A)),B)
% collapsed.
% Rule
% [1651]
% quotient(t(eta(A),quotient(B,t(B,quotient(B,quotient(eta(quotient(j(quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(j(A)))),quotient(
% i(B),
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(
% j(A))))))))),
% t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A)))) ->
% t(eta(A),B) collapsed.
% Rule
% [1668]
% t(eta(A),difference(t(B,eta(A)),quotient(j(quotient(i(quotient(eta(quotient(
% quotient(
% eta(
% t(
% eta(A),B)),
% t(
% eta(A),
% quotient(
% j(
% eta(A)),B))),
% j(
% eta(A)))),
% quotient(j(A),quotient(
% quotient(
% eta(
% t(
% eta(A),B)),
% t(
% eta(A),
% quotient(
% j(
% eta(A)),B))),
% j(
% eta(A)))))),
% j(eta(A)))),j(j(A))))) ->
% t(eta(A),B) collapsed.
% Rule
% [1669]
% t(eta(B),quotient(quotient(quotient(j(quotient(i(quotient(eta(A),quotient(
% j(B),A))),
% j(eta(B)))),j(j(B))),C),V_3)) ->
% quotient(quotient(quotient(A,eta(B)),t(eta(B),C)),t(eta(B),V_3)) collapsed.
% Rule
% [1670]
% t(eta(B),quotient(difference(quotient(j(quotient(i(quotient(eta(A),quotient(
% j(B),A))),
% j(eta(B)))),j(j(B))),C),V_3)) ->
% quotient(difference(quotient(A,eta(B)),t(eta(B),C)),t(eta(B),V_3)) collapsed.
% Rule
% [1672]
% t(eta(B),t(quotient(quotient(j(quotient(i(quotient(eta(A),quotient(j(B),A))),
% j(eta(B)))),j(j(B))),C),V_3)) ->
% t(quotient(quotient(A,eta(B)),t(eta(B),C)),t(eta(B),V_3)) collapsed.
% Rule
% [1673]
% t(eta(B),t(difference(quotient(j(quotient(i(quotient(eta(A),quotient(j(B),A))),
% j(eta(B)))),j(j(B))),C),V_3)) ->
% t(difference(quotient(A,eta(B)),t(eta(B),C)),t(eta(B),V_3)) collapsed.
% Rule
% [1698]
% t(eta(A),difference(j(eta(A)),quotient(quotient(j(quotient(i(quotient(
% eta(B),quotient(
% j(A),B))),
% j(eta(A)))),j(j(A))),C)))
% -> difference(j(eta(A)),quotient(quotient(B,eta(A)),t(eta(A),C))) collapsed.
% Rule
% [1699]
% t(eta(A),difference(j(eta(A)),difference(quotient(j(quotient(i(quotient(
% eta(B),
% quotient(
% j(A),B))),
% j(eta(A)))),j(j(A))),C)))
% -> difference(j(eta(A)),difference(quotient(B,eta(A)),t(eta(A),C)))
% collapsed.
% Rule
% [1703]
% t(eta(A),quotient(eta(A),i(quotient(quotient(j(quotient(i(quotient(eta(B),
% quotient(j(A),B))),
% j(eta(A)))),j(j(A))),C)))) ->
% quotient(eta(A),i(quotient(quotient(B,eta(A)),t(eta(A),C)))) collapsed.
% Rule
% [1704]
% t(eta(A),quotient(eta(A),i(difference(quotient(j(quotient(i(quotient(
% eta(B),quotient(
% j(A),B))),
% j(eta(A)))),j(j(A))),C))))
% -> quotient(eta(A),i(difference(quotient(B,eta(A)),t(eta(A),C)))) collapsed.
% Rule
% [1712]
% quotient(quotient(j(quotient(i(quotient(eta(B),quotient(j(A),B))),j(eta(A)))),
% j(j(A))),eta(A)) ->
% quotient(j(quotient(i(quotient(eta(quotient(B,eta(A))),quotient(j(A),
% quotient(B,eta(A))))),
% j(eta(A)))),j(j(A))) collapsed.
% Rule
% [1746]
% t(eta(A),t(t(quotient(B,quotient(j(quotient(i(quotient(eta(C),quotient(
% j(A),C))),
% j(eta(A)))),j(j(A)))),quotient(j(quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(j(A)))),quotient(B,
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(
% j(A))))))
% <->
% t(t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A))),quotient(
% t(eta(A),B),
% quotient(C,
% eta(A))))
% collapsed.
% Rule
% [1795]
% quotient(quotient(t(eta(A),B),t(t(eta(A),B),quotient(t(eta(A),B),quotient(
% eta(
% quotient(C,
% eta(A))),
% quotient(
% i(t(
% eta(A),B)),
% quotient(C,
% eta(A))))))),
% t(eta(A),t(quotient(B,quotient(j(quotient(i(quotient(eta(C),quotient(j(A),C))),
% j(eta(A)))),j(j(A)))),quotient(j(quotient(
% i(quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(eta(A)))),
% j(j(A)))))) ->
% t(eta(A),B) collapsed.
% Rule
% [1821]
% quotient(difference(i(t(eta(A),quotient(B,quotient(j(quotient(i(quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(eta(A)))),j(j(A)))))),
% quotient(difference(i(quotient(C,eta(A))),t(eta(A),B)),quotient(C,
% eta(A)))),
% quotient(t(eta(A),B),quotient(C,eta(A)))) -> t(eta(A),B) collapsed.
% Rule
% [1833]
% quotient(quotient(quotient(A,eta(B)),t(eta(B),quotient(C,quotient(j(quotient(
% i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(
% eta(B)))),
% j(j(B)))))),
% quotient(quotient(A,eta(B)),t(eta(B),C))) -> quotient(A,eta(B)) collapsed.
% Rule
% [1834]
% quotient(quotient(t(eta(A),B),quotient(quotient(C,eta(A)),t(eta(A),B))),
% t(eta(A),quotient(B,quotient(j(quotient(i(quotient(eta(C),quotient(j(A),C))),
% j(eta(A)))),j(j(A)))))) -> t(eta(A),B)
% collapsed.
% Rule
% [1876]
% quotient(quotient(B,quotient(j(quotient(i(quotient(eta(C),quotient(j(A),C))),
% j(eta(A)))),j(j(A)))),eta(A)) <->
% quotient(j(quotient(i(quotient(eta(quotient(t(eta(A),B),quotient(C,eta(A)))),
% quotient(j(A),quotient(t(eta(A),B),quotient(C,eta(A)))))),
% j(eta(A)))),j(j(A))) collapsed.
% Rule
% [1877]
% quotient(j(quotient(i(quotient(eta(quotient(t(eta(A),B),quotient(C,eta(A)))),
% quotient(j(A),quotient(t(eta(A),B),quotient(C,eta(A)))))),
% j(eta(A)))),j(j(A))) <->
% quotient(quotient(B,quotient(j(quotient(i(quotient(eta(C),quotient(j(A),C))),
% j(eta(A)))),j(j(A)))),eta(A)) collapsed.
% Rule
% [1878]
% quotient(quotient(quotient(j(quotient(i(quotient(eta(B),quotient(j(A),B))),
% j(eta(A)))),j(j(A))),C),eta(A)) <->
% quotient(j(quotient(i(quotient(eta(quotient(quotient(B,eta(A)),t(eta(A),C))),
% quotient(j(A),quotient(quotient(B,eta(A)),t(eta(A),C))))),
% j(eta(A)))),j(j(A))) collapsed.
% Rule
% [1879]
% quotient(j(quotient(i(quotient(eta(quotient(quotient(B,eta(A)),t(eta(A),C))),
% quotient(j(A),quotient(quotient(B,eta(A)),t(eta(A),C))))),
% j(eta(A)))),j(j(A))) <->
% quotient(quotient(quotient(j(quotient(i(quotient(eta(B),quotient(j(A),B))),
% j(eta(A)))),j(j(A))),C),eta(A)) collapsed.
% Rule
% [1880]
% quotient(difference(quotient(j(quotient(i(quotient(eta(B),quotient(j(A),B))),
% j(eta(A)))),j(j(A))),C),eta(A)) ->
% quotient(j(quotient(i(quotient(eta(difference(quotient(B,eta(A)),t(eta(A),C))),
% quotient(j(A),difference(quotient(B,eta(A)),t(eta(A),C))))),
% j(eta(A)))),j(j(A))) collapsed.
% Rule
% [1898]
% quotient(eta(C),i(quotient(eta(quotient(j(quotient(i(quotient(eta(A),
% quotient(j(C),A))),
% j(eta(C)))),j(j(C)))),quotient(
% i(B),
% quotient(
% j(quotient(
% i(quotient(
% eta(A),
% quotient(
% j(C),A))),
% j(eta(C)))),
% j(j(C)))))))
% -> quotient(eta(A),quotient(i(B),A)) collapsed.
% Rule
% [1903]
% t(eta(B),difference(quotient(quotient(j(quotient(i(quotient(eta(A),quotient(
% j(B),A))),
% j(eta(B)))),j(j(B))),C),quotient(
% j(quotient(
% i(quotient(
% eta(V_3),
% quotient(
% j(B),V_3))),
% j(eta(B)))),
% j(j(B))))) ->
% difference(quotient(quotient(A,eta(B)),t(eta(B),C)),quotient(V_3,eta(B)))
% collapsed.
% Rule
% [1904]
% t(eta(B),difference(difference(quotient(j(quotient(i(quotient(eta(A),
% quotient(j(B),A))),
% j(eta(B)))),j(j(B))),C),quotient(
% j(quotient(
% i(
% quotient(
% eta(V_3),
% quotient(
% j(B),V_3))),
% j(
% eta(B)))),
% j(j(B)))))
% ->
% difference(difference(quotient(A,eta(B)),t(eta(B),C)),quotient(V_3,eta(B)))
% collapsed.
% Rule
% [1949]
% quotient(t(eta(A),B),t(t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,
% eta(A))),
% t(eta(A),quotient(B,quotient(j(quotient(i(quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(eta(A)))),j(j(A)))))))
% ->
% t(t(t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A))),quotient(
% t(
% eta(A),B),
% quotient(C,
% eta(A)))),
% t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A)))) collapsed.
% Rule
% [1962]
% t(eta(A),t(t(t(quotient(B,quotient(j(quotient(i(quotient(eta(C),quotient(
% j(A),C))),
% j(eta(A)))),j(j(A)))),quotient(j(
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(j(A)))),
% quotient(B,quotient(j(quotient(i(quotient(eta(C),quotient(j(A),C))),
% j(eta(A)))),j(j(A))))),t(quotient(B,
% quotient(j(
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(j(A)))),quotient(
% j(
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% j(A),C))),
% j(
% eta(A)))),
% j(
% j(A))))))
% <->
% t(t(t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A))),quotient(
% t(
% eta(A),B),
% quotient(C,
% eta(A)))),
% t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A)))) collapsed.
% Rule
% [1969]
% t(eta(A),t(t(quotient(quotient(j(quotient(i(quotient(eta(B),quotient(j(A),B))),
% j(eta(A)))),j(j(A))),C),C),quotient(
% quotient(
% j(quotient(
% i(quotient(
% eta(B),
% quotient(
% j(A),B))),
% j(eta(A)))),
% j(j(A))),C))) ->
% t(t(quotient(quotient(B,eta(A)),t(eta(A),C)),t(eta(A),C)),quotient(quotient(B,
% eta(A)),
% t(eta(A),C)))
% collapsed.
% Rule
% [1989]
% quotient(quotient(B,eta(A)),t(eta(A),t(t(t(quotient(quotient(j(quotient(
% i(quotient(
% eta(B),
% quotient(
% j(A),B))),
% j(eta(A)))),
% j(j(A))),C),C),quotient(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(B),
% quotient(
% j(A),B))),
% j(
% eta(A)))),
% j(
% j(A))),C)),
% t(quotient(quotient(j(quotient(i(
% quotient(
% eta(B),
% quotient(
% j(A),B))),
% j(eta(A)))),
% j(j(A))),C),C)))) ->
% t(eta(A),t(t(t(t(quotient(quotient(j(quotient(i(quotient(eta(B),quotient(
% j(A),B))),
% j(eta(A)))),j(j(A))),C),C),quotient(
% quotient(
% j(quotient(
% i(quotient(
% eta(B),
% quotient(
% j(A),B))),
% j(eta(A)))),
% j(j(A))),C)),
% t(quotient(quotient(j(quotient(i(quotient(eta(B),quotient(j(A),B))),
% j(eta(A)))),j(j(A))),C),C)),t(t(quotient(
% quotient(
% j(quotient(
% i(
% quotient(
% eta(B),
% quotient(
% j(A),B))),
% j(
% eta(A)))),
% j(j(A))),C),C),
% quotient(
% quotient(
% j(quotient(
% i(quotient(
% eta(B),
% quotient(
% j(A),B))),
% j(eta(A)))),
% j(j(A))),C))))
% collapsed.
% Rule
% [2102]
% t(eta(B),quotient(j(quotient(i(quotient(eta(A),quotient(j(B),A))),j(eta(B)))),
% j(j(B)))) -> quotient(A,eta(B)) collapsed.
% Rule
% [2117]
% t(eta(A),quotient(A,quotient(j(quotient(i(quotient(eta(B),quotient(j(A),B))),
% j(eta(A)))),j(j(A))))) ->
% quotient(i(i(i(i(A)))),quotient(B,eta(A))) collapsed.
% Rule
% [2235]
% quotient(quotient(j(quotient(i(quotient(eta(A),quotient(j(B),A))),j(eta(B)))),
% j(j(B))),A) ->
% quotient(quotient(A,j(eta(B))),quotient(eta(B),i(quotient(A,j(eta(B))))))
% collapsed.
% Rule
% [2248]
% quotient(quotient(A,j(A)),quotient(eta(quotient(j(quotient(i(quotient(
% eta(quotient(A,
% j(A))),
% quotient(
% j(A),quotient(A,
% j(A))))),
% j(eta(A)))),j(j(A)))),
% quotient(i(quotient(A,j(A))),quotient(j(quotient(
% i(quotient(
% eta(
% quotient(A,
% j(A))),
% quotient(
% j(A),
% quotient(A,
% j(A))))),
% j(eta(A)))),
% j(j(A)))))) ->
% t(A,i(quotient(A,j(A)))) collapsed.
% Rule
% [2284]
% quotient(quotient(A,quotient(B,A)),quotient(eta(quotient(j(quotient(i(
% quotient(
% eta(
% quotient(A,
% quotient(B,A))),
% quotient(
% j(A),
% quotient(A,
% quotient(B,A))))),
% j(eta(A)))),
% j(j(A)))),quotient(i(
% quotient(A,
% quotient(B,A))),
% quotient(j(
% quotient(
% i(
% quotient(
% eta(
% quotient(A,
% quotient(B,A))),
% quotient(
% j(A),
% quotient(A,
% quotient(B,A))))),
% j(
% eta(A)))),
% j(j(A)))))) ->
% quotient(i(quotient(A,B)),A) collapsed.
% Rule
% [2287]
% quotient(quotient(quotient(j(B),eta(A)),quotient(eta(quotient(j(quotient(
% i(quotient(
% eta(
% quotient(
% j(B),
% eta(A))),
% quotient(
% j(A),
% quotient(
% j(B),
% eta(A))))),
% j(eta(A)))),
% j(j(A)))),quotient(
% i(quotient(
% j(B),
% eta(A))),
% quotient(
% j(quotient(
% i(quotient(
% eta(
% quotient(
% j(B),
% eta(A))),
% quotient(
% j(A),
% quotient(
% j(B),
% eta(A))))),
% j(eta(A)))),
% j(j(A)))))),
% eta(A)) ->
% quotient(j(t(eta(A),B)),quotient(eta(quotient(j(B),eta(A))),quotient(
% t(eta(A),B),
% quotient(
% j(B),eta(A)))))
% collapsed.
% Rule
% [2288]
% quotient(quotient(quotient(i(B),eta(A)),quotient(eta(quotient(j(quotient(
% i(quotient(
% eta(
% quotient(
% i(B),
% eta(A))),
% quotient(
% j(A),
% quotient(
% i(B),
% eta(A))))),
% j(eta(A)))),
% j(j(A)))),quotient(
% i(quotient(
% i(B),
% eta(A))),
% quotient(
% j(quotient(
% i(quotient(
% eta(
% quotient(
% i(B),
% eta(A))),
% quotient(
% j(A),
% quotient(
% i(B),
% eta(A))))),
% j(eta(A)))),
% j(j(A)))))),
% eta(A)) ->
% quotient(i(t(eta(A),B)),quotient(eta(quotient(i(B),eta(A))),quotient(
% i(i(t(eta(A),B))),
% quotient(
% i(B),eta(A)))))
% collapsed.
% Rule
% [2323]
% t(eta(A),quotient(B,quotient(j(quotient(i(quotient(eta(B),quotient(j(A),B))),
% j(eta(A)))),j(j(A))))) -> eta(A) collapsed.
% Rule
% [2618]
% t(eta(A),quotient(quotient(eta(A),j(eta(A))),quotient(j(quotient(i(quotient(
% eta(B),
% quotient(
% j(A),B))),
% j(eta(A)))),j(j(A)))))
% -> quotient(quotient(eta(A),j(eta(A))),quotient(B,eta(A))) collapsed.
% Rule
% [2805]
% difference(A,quotient(quotient(j(eta(A)),quotient(eta(difference(x1,j(eta(A)))),
% quotient(eta(A),difference(x1,
% j(eta(A)))))),
% quotient(j(quotient(i(quotient(eta(x1),quotient(j(A),x1))),
% j(eta(A)))),j(j(A))))) -> j(j(j(A))) collapsed.
% Rule
% [2827]
% difference(t(quotient(A,eta(B)),quotient(quotient(A,eta(B)),t(eta(B),C))),
% quotient(quotient(A,eta(B)),t(eta(B),quotient(C,quotient(j(quotient(i(
% quotient(
% eta(A),
% quotient(
% j(B),A))),
% j(eta(B)))),
% j(j(B))))))) ->
% quotient(A,eta(B)) collapsed.
% Current number of equations to process: 1123
% Current number of ordered equations: 0
% Current number of rules: 1251
% New rule produced :
% [3129]
% j(t(eta(B),quotient(eta(A),quotient(j(eta(B)),i(A))))) -> quotient(A,eta(B))
% Current number of equations to process: 1122
% Current number of ordered equations: 0
% Current number of rules: 1252
% New rule produced :
% [3130]
% t(eta(A),quotient(B,j(quotient(eta(B),quotient(j(eta(A)),i(B)))))) -> eta(A)
% Current number of equations to process: 1121
% Current number of ordered equations: 0
% Current number of rules: 1253
% New rule produced :
% [3131]
% t(eta(A),eta(quotient(eta(B),quotient(j(eta(A)),i(B))))) ->
% eta(quotient(B,eta(A)))
% Current number of equations to process: 1120
% Current number of ordered equations: 0
% Current number of rules: 1254
% New rule produced :
% [3132]
% j(quotient(eta(t(eta(A),B)),t(eta(A),quotient(j(eta(A)),i(B))))) ->
% quotient(B,eta(A))
% Current number of equations to process: 1119
% Current number of ordered equations: 0
% Current number of rules: 1255
% Rule [1853]
% difference(j(A),quotient(eta(quotient(A,j(A))),quotient(i(B),i(quotient(A,
% j(A))))))
% ->
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(A,B))),
% i(A))),j(A)) is composed into [1853]
% difference(
% j(A),quotient(
% eta(
% quotient(A,
% j(A))),
% quotient(
% i(B),
% i(quotient(A,
% j(A))))))
% ->
% t(j(A),j(
% quotient(
% eta(
% quotient(
% eta(B),
% quotient(A,B))),
% quotient(
% j(
% eta(A)),
% i(
% quotient(
% eta(B),
% quotient(A,B)))))))
% New rule produced :
% [3133]
% quotient(quotient(eta(A),quotient(i(B),i(A))),j(A)) ->
% t(j(A),j(quotient(eta(B),quotient(j(eta(A)),i(B)))))
% Current number of equations to process: 1118
% Current number of ordered equations: 0
% Current number of rules: 1256
% New rule produced :
% [3134]
% quotient(quotient(eta(A),quotient(i(B),A)),j(quotient(eta(B),quotient(
% j(eta(A)),
% i(B))))) ->
% j(j(A))
% Current number of equations to process: 1117
% Current number of ordered equations: 0
% Current number of rules: 1257
% New rule produced :
% [3135]
% quotient(quotient(eta(A),quotient(i(B),A)),j(j(A))) ->
% t(j(j(A)),j(quotient(eta(B),quotient(j(eta(A)),i(B)))))
% Rule
% [1290]
% quotient(quotient(eta(A),quotient(i(t(eta(A),B)),A)),j(j(A))) ->
% t(j(j(A)),quotient(B,eta(A))) collapsed.
% Current number of equations to process: 1116
% Current number of ordered equations: 0
% Current number of rules: 1257
% New rule produced :
% [3136]
% t(eta(B),quotient(j(quotient(eta(A),quotient(j(eta(B)),i(A)))),C)) ->
% quotient(quotient(A,eta(B)),t(eta(B),C))
% Current number of equations to process: 1115
% Current number of ordered equations: 0
% Current number of rules: 1258
% New rule produced :
% [3137]
% t(eta(B),difference(j(quotient(eta(A),quotient(j(eta(B)),i(A)))),C)) ->
% difference(quotient(A,eta(B)),t(eta(B),C))
% Current number of equations to process: 1114
% Current number of ordered equations: 0
% Current number of rules: 1259
% New rule produced :
% [3138]
% t(eta(B),t(j(quotient(eta(A),quotient(j(eta(B)),i(A)))),C)) ->
% t(quotient(A,eta(B)),t(eta(B),C))
% Current number of equations to process: 1113
% Current number of ordered equations: 0
% Current number of rules: 1260
% New rule produced :
% [3139]
% t(eta(A),quotient(A,j(quotient(eta(B),quotient(j(eta(A)),i(B)))))) <->
% quotient(i(i(i(i(A)))),quotient(B,eta(A)))
% Current number of equations to process: 1112
% Current number of ordered equations: 1
% Current number of rules: 1261
% New rule produced :
% [3140]
% quotient(i(i(i(i(A)))),quotient(B,eta(A))) <->
% t(eta(A),quotient(A,j(quotient(eta(B),quotient(j(eta(A)),i(B))))))
% Current number of equations to process: 1112
% Current number of ordered equations: 0
% Current number of rules: 1262
% New rule produced :
% [3141]
% t(eta(A),difference(j(eta(A)),j(quotient(eta(B),quotient(j(eta(A)),i(B))))))
% -> difference(j(eta(A)),quotient(B,eta(A)))
% Current number of equations to process: 1111
% Current number of ordered equations: 0
% Current number of rules: 1263
% New rule produced :
% [3142]
% quotient(j(quotient(eta(A),quotient(j(eta(B)),i(A)))),A) ->
% quotient(quotient(A,j(eta(B))),quotient(eta(B),i(quotient(A,j(eta(B))))))
% Current number of equations to process: 1110
% Current number of ordered equations: 0
% Current number of rules: 1264
% New rule produced :
% [3143]
% quotient(quotient(eta(A),quotient(i(B),j(A))),j(j(j(A)))) ->
% t(j(j(j(A))),j(quotient(eta(B),quotient(j(eta(A)),i(B)))))
% Current number of equations to process: 1109
% Current number of ordered equations: 0
% Current number of rules: 1265
% New rule produced :
% [3144]
% quotient(quotient(C,eta(A)),t(eta(A),difference(B,j(quotient(eta(C),quotient(
% j(
% eta(A)),
% i(C)))))))
% -> t(eta(A),B)
% Current number of equations to process: 1108
% Current number of ordered equations: 0
% Current number of rules: 1266
% New rule produced :
% [3145]
% quotient(j(quotient(eta(B),quotient(j(eta(A)),i(B)))),eta(A)) ->
% j(quotient(eta(quotient(B,eta(A))),quotient(j(eta(A)),i(quotient(B,eta(A))))))
% Current number of equations to process: 1107
% Current number of ordered equations: 0
% Current number of rules: 1267
% New rule produced :
% [3146]
% difference(t(i(A),t(A,i(quotient(A,j(A))))),quotient(i(A),j(t(A,i(quotient(A,
% j(A)))))))
% -> i(A)
% Current number of equations to process: 1106
% Current number of ordered equations: 0
% Current number of rules: 1268
% New rule produced :
% [3147] difference(i(i(t(eta(A),B))),quotient(eta(A),i(i(i(B))))) -> eta(A)
% Current number of equations to process: 1108
% Current number of ordered equations: 0
% Current number of rules: 1269
% New rule produced :
% [3148]
% quotient(eta(A),i(quotient(i(B),i(t(eta(A),B))))) -> t(eta(A),t(i(B),eta(A)))
% Current number of equations to process: 1107
% Current number of ordered equations: 0
% Current number of rules: 1270
% New rule produced :
% [3149] difference(i(t(eta(A),B)),j(quotient(i(i(B)),eta(A)))) -> eta(A)
% Current number of equations to process: 1108
% Current number of ordered equations: 0
% Current number of rules: 1271
% New rule produced :
% [3150]
% quotient(i(quotient(eta(A),j(eta(A)))),j(quotient(eta(A),i(quotient(eta(A),
% j(eta(A))))))) ->
% eta(A)
% Current number of equations to process: 1107
% Current number of ordered equations: 0
% Current number of rules: 1272
% Rule [1265]
% quotient(quotient(eta(A),j(eta(A))),i(i(i(i(A))))) ->
% t(i(i(i(i(A)))),i(A)) is composed into [1265]
% quotient(quotient(eta(A),
% j(eta(A))),i(i(i(i(A)))))
% -> i(i(i(i(i(i(i(A)))))))
% New rule produced : [3151] t(i(i(i(i(A)))),i(A)) -> i(i(i(i(i(i(i(A)))))))
% Rule
% [1278]
% difference(t(i(i(i(i(A)))),i(A)),quotient(eta(A),j(eta(A)))) -> i(i(i(i(A))))
% collapsed.
% Rule
% [1408]
% quotient(quotient(eta(A),j(eta(A))),t(i(i(i(i(A)))),i(A))) ->
% t(t(i(i(i(i(A)))),i(A)),i(i(i(i(A))))) collapsed.
% Rule
% [1494]
% difference(t(t(i(i(i(i(A)))),i(A)),i(i(i(i(A))))),quotient(eta(A),j(eta(A))))
% -> t(i(i(i(i(A)))),i(A)) collapsed.
% Current number of equations to process: 1115
% Current number of ordered equations: 0
% Current number of rules: 1270
% New rule produced :
% [3152]
% difference(i(i(i(i(i(i(i(A))))))),quotient(eta(A),j(eta(A)))) ->
% i(i(i(i(A))))
% Current number of equations to process: 1114
% Current number of ordered equations: 0
% Current number of rules: 1271
% New rule produced :
% [3153]
% quotient(quotient(eta(A),j(eta(A))),i(i(i(i(i(i(i(A)))))))) ->
% i(i(i(i(i(i(i(i(i(i(A))))))))))
% Current number of equations to process: 1113
% Current number of ordered equations: 0
% Current number of rules: 1272
% New rule produced :
% [3154]
% difference(i(i(i(i(i(i(i(i(i(i(A)))))))))),quotient(eta(A),j(eta(A)))) ->
% i(i(i(i(i(i(i(A)))))))
% Current number of equations to process: 1112
% Current number of ordered equations: 0
% Current number of rules: 1273
% New rule produced :
% [3155]
% quotient(i(i(i(i(A)))),quotient(eta(A),j(eta(A)))) ->
% t(eta(A),quotient(A,quotient(eta(A),j(eta(A)))))
% Current number of equations to process: 1113
% Current number of ordered equations: 0
% Current number of rules: 1274
% New rule produced :
% [3156]
% quotient(quotient(eta(t(eta(A),B)),t(eta(A),quotient(A,B))),i(i(i(A)))) ->
% t(eta(A),B)
% Current number of equations to process: 1112
% Current number of ordered equations: 0
% Current number of rules: 1275
% Rule [2514]
% t(eta(A),difference(j(B),A)) <->
% quotient(j(t(eta(A),B)),quotient(eta(difference(i(i(i(i(A)))),j(
% t(
% eta(A),B)))),
% quotient(t(eta(A),B),difference(i(i(i(i(A)))),
% j(t(eta(A),B)))))) is composed into
% [2514]
% t(eta(A),difference(j(B),A)) <->
% quotient(j(t(eta(A),B)),quotient(eta(t(eta(A),difference(A,j(B)))),quotient(
% t(
% eta(A),B),
% t(
% eta(A),
% difference(A,
% j(B))))))
% New rule produced :
% [3157]
% difference(i(i(i(i(A)))),j(t(eta(A),B))) -> t(eta(A),difference(A,j(B)))
% Rule
% [2515]
% quotient(j(t(eta(A),B)),quotient(eta(difference(i(i(i(i(A)))),j(t(eta(A),B)))),
% quotient(t(eta(A),B),difference(i(i(i(i(A)))),
% j(t(eta(A),B)))))) <->
% t(eta(A),difference(j(B),A)) collapsed.
% Current number of equations to process: 1114
% Current number of ordered equations: 0
% Current number of rules: 1275
% Rule [2516]
% t(eta(A),difference(i(B),A)) <->
% quotient(i(t(eta(A),B)),quotient(eta(difference(i(i(i(i(A)))),i(
% t(
% eta(A),B)))),
% quotient(i(i(t(eta(A),B))),difference(i(
% i(
% i(i(A)))),
% i(t(eta(A),B)))))) is composed into
% [2516]
% t(eta(A),difference(i(B),A)) <->
% quotient(i(t(eta(A),B)),quotient(eta(t(eta(A),difference(A,i(B)))),quotient(
% i(
% i(
% t(
% eta(A),B))),
% t(
% eta(A),
% difference(A,
% i(B))))))
% New rule produced :
% [3158]
% difference(i(i(i(i(A)))),i(t(eta(A),B))) -> t(eta(A),difference(A,i(B)))
% Rule
% [2517]
% quotient(i(t(eta(A),B)),quotient(eta(difference(i(i(i(i(A)))),i(t(eta(A),B)))),
% quotient(i(i(t(eta(A),B))),difference(i(i(i(i(A)))),
% i(t(eta(A),B)))))) <->
% t(eta(A),difference(i(B),A)) collapsed.
% Current number of equations to process: 1113
% Current number of ordered equations: 0
% Current number of rules: 1275
% New rule produced :
% [3159] quotient(quotient(eta(A),quotient(B,A)),t(A,j(B))) -> t(t(A,j(B)),A)
% Current number of equations to process: 1132
% Current number of ordered equations: 0
% Current number of rules: 1276
% New rule produced :
% [3160]
% quotient(j(quotient(i(A),eta(B))),t(eta(B),A)) -> t(eta(B),t(A,eta(B)))
% Current number of equations to process: 1131
% Current number of ordered equations: 0
% Current number of rules: 1277
% New rule produced :
% [3161]
% quotient(j(quotient(A,eta(B))),j(t(eta(B),A))) -> t(eta(B),t(j(A),eta(B)))
% Current number of equations to process: 1130
% Current number of ordered equations: 0
% Current number of rules: 1278
% New rule produced :
% [3162]
% quotient(quotient(eta(A),quotient(i(B),i(A))),t(i(A),B)) -> t(t(i(A),B),i(A))
% Current number of equations to process: 1138
% Current number of ordered equations: 0
% Current number of rules: 1279
% New rule produced :
% [3163]
% quotient(quotient(eta(A),quotient(i(B),j(A))),t(j(A),B)) -> t(t(j(A),B),j(A))
% Current number of equations to process: 1137
% Current number of ordered equations: 0
% Current number of rules: 1280
% New rule produced :
% [3164]
% quotient(j(quotient(i(i(A)),eta(B))),i(t(eta(B),A))) ->
% t(eta(B),t(i(A),eta(B)))
% Current number of equations to process: 1136
% Current number of ordered equations: 0
% Current number of rules: 1281
% New rule produced :
% [3165] quotient(quotient(A,eta(B)),quotient(A,j(quotient(i(A),eta(B))))) -> A
% Current number of equations to process: 1167
% Current number of ordered equations: 0
% Current number of rules: 1282
% New rule produced :
% [3166]
% quotient(quotient(j(A),B),quotient(j(A),quotient(eta(B),quotient(A,B)))) ->
% j(A)
% Current number of equations to process: 1166
% Current number of ordered equations: 0
% Current number of rules: 1283
% New rule produced :
% [3167]
% quotient(A,quotient(B,quotient(eta(difference(A,B)),quotient(i(B),difference(A,B)))))
% -> B
% Current number of equations to process: 1165
% Current number of ordered equations: 0
% Current number of rules: 1284
% New rule produced :
% [3168]
% quotient(quotient(A,i(B)),quotient(A,quotient(eta(B),quotient(i(A),i(B)))))
% -> A
% Rule
% [3020]
% quotient(quotient(A,i(quotient(eta(A),quotient(i(B),A)))),quotient(A,
% quotient(eta(
% quotient(
% eta(A),
% quotient(
% i(B),A))),
% quotient(i(A),
% i(quotient(
% eta(A),quotient(
% i(B),A)))))))
% -> A collapsed.
% Current number of equations to process: 1164
% Current number of ordered equations: 0
% Current number of rules: 1284
% New rule produced :
% [3169]
% quotient(quotient(A,j(B)),quotient(A,quotient(eta(B),quotient(i(A),j(B)))))
% -> A
% Current number of equations to process: 1163
% Current number of ordered equations: 0
% Current number of rules: 1285
% New rule produced :
% [3170]
% t(eta(A),quotient(quotient(B,eta(A)),quotient(B,quotient(eta(A),i(B))))) ->
% t(eta(A),B)
% Current number of equations to process: 1173
% Current number of ordered equations: 0
% Current number of rules: 1286
% New rule produced :
% [3171]
% quotient(j(eta(A)),quotient(j(j(A)),quotient(eta(A),i(quotient(A,j(A)))))) ->
% j(j(A))
% Current number of equations to process: 1172
% Current number of ordered equations: 0
% Current number of rules: 1287
% New rule produced :
% [3172]
% quotient(A,quotient(quotient(A,j(eta(B))),quotient(eta(B),i(quotient(A,
% j(eta(B))))))) ->
% quotient(A,j(eta(B)))
% Rule
% [2806]
% quotient(eta(A),i(quotient(quotient(difference(j(eta(B)),quotient(eta(
% quotient(
% eta(A),
% j(eta(B)))),
% i(quotient(C,
% quotient(quotient(C,
% j(
% eta(B))),
% quotient(eta(B),
% i(quotient(C,
% j(eta(B)))))))))),
% eta(B)),C))) -> j(j(quotient(eta(A),j(eta(B)))))
% collapsed.
% Current number of equations to process: 1177
% Current number of ordered equations: 0
% Current number of rules: 1287
% New rule produced :
% [3173]
% quotient(t(quotient(A,B),B),quotient(A,quotient(eta(quotient(A,B)),quotient(
% i(A),
% quotient(A,B)))))
% -> A
% Current number of equations to process: 1176
% Current number of ordered equations: 0
% Current number of rules: 1288
% New rule produced :
% [3174]
% quotient(quotient(A,difference(B,i(A))),quotient(A,t(B,quotient(i(B),
% j(eta(difference(B,
% i(A)))))))) -> A
% Current number of equations to process: 1176
% Current number of ordered equations: 0
% Current number of rules: 1289
% New rule produced :
% [3175]
% quotient(quotient(A,quotient(i(A),B)),quotient(A,quotient(eta(quotient(
% i(A),B)),
% t(quotient(i(A),B),B)))) ->
% A
% Current number of equations to process: 1175
% Current number of ordered equations: 0
% Current number of rules: 1290
% New rule produced : [3176] t(j(j(A)),eta(A)) -> j(eta(A))
% Rule
% [2175]
% quotient(j(j(j(j(A)))),t(j(j(A)),eta(A))) -> t(t(j(j(A)),eta(A)),j(j(A)))
% collapsed.
% Rule
% [2795]
% quotient(t(j(j(A)),eta(A)),quotient(eta(difference(j(j(j(j(A)))),t(j(j(A)),
% eta(A)))),
% quotient(i(t(j(j(A)),eta(A))),difference(j(
% j(
% j(j(A)))),
% t(j(j(A)),eta(A))))))
% -> j(j(A)) collapsed.
% Current number of equations to process: 1199
% Current number of ordered equations: 0
% Current number of rules: 1289
% New rule produced :
% [3177] quotient(j(j(j(j(A)))),j(eta(A))) -> t(j(eta(A)),j(j(A)))
% Current number of equations to process: 1199
% Current number of ordered equations: 0
% Current number of rules: 1290
% New rule produced :
% [3178] quotient(eta(A),i(quotient(quotient(A,j(A)),i(i(A))))) -> t(i(i(A)),A)
% Current number of equations to process: 1198
% Current number of ordered equations: 0
% Current number of rules: 1291
% New rule produced :
% [3179]
% t(eta(A),t(B,quotient(B,quotient(eta(A),i(B))))) -> t(eta(A),t(B,j(eta(A))))
% Current number of equations to process: 1197
% Current number of ordered equations: 0
% Current number of rules: 1292
% New rule produced :
% [3180] t(eta(A),quotient(j(B),j(eta(A)))) <-> quotient(eta(A),B)
% Current number of equations to process: 1200
% Current number of ordered equations: 1
% Current number of rules: 1293
% New rule produced :
% [3181] quotient(eta(A),B) <-> t(eta(A),quotient(j(B),j(eta(A))))
% Current number of equations to process: 1200
% Current number of ordered equations: 0
% Current number of rules: 1294
% New rule produced :
% [3182] quotient(j(quotient(i(A),eta(B))),eta(B)) -> t(eta(B),A)
% Current number of equations to process: 1205
% Current number of ordered equations: 0
% Current number of rules: 1295
% New rule produced :
% [3183]
% j(t(eta(quotient(A,B)),quotient(i(B),quotient(A,B)))) <->
% quotient(A,eta(quotient(A,B)))
% Current number of equations to process: 1206
% Current number of ordered equations: 1
% Current number of rules: 1296
% New rule produced :
% [3184]
% quotient(A,eta(quotient(A,B))) <->
% j(t(eta(quotient(A,B)),quotient(i(B),quotient(A,B))))
% Current number of equations to process: 1206
% Current number of ordered equations: 0
% Current number of rules: 1297
% New rule produced :
% [3185]
% t(B,quotient(B,quotient(eta(difference(A,B)),quotient(i(B),difference(A,B)))))
% -> quotient(A,B)
% Current number of equations to process: 1205
% Current number of ordered equations: 0
% Current number of rules: 1298
% Rule [2603]
% quotient(t(j(eta(A)),t(t(quotient(j(eta(A)),B),B),quotient(j(eta(A)),B))),
% eta(A)) ->
% quotient(j(eta(A)),quotient(t(quotient(j(eta(A)),B),B),j(eta(A)))) is composed into
% [2603]
% quotient(t(j(eta(A)),t(t(quotient(j(eta(A)),B),B),quotient(j(eta(A)),B))),
% eta(A)) ->
% quotient(j(eta(A)),t(j(eta(A)),quotient(j(eta(A)),quotient(eta(quotient(
% j(eta(A)),B)),
% quotient(i(j(eta(A))),
% quotient(j(eta(A)),B))))))
% Rule [1461]
% quotient(eta(B),quotient(i(t(t(quotient(B,C),C),quotient(B,C))),B)) ->
% quotient(B,quotient(t(quotient(B,C),C),B)) is composed into [1461]
% quotient(
% eta(B),
% quotient(
% i(t(
% t(
% quotient(B,C),C),
% quotient(B,C))),B))
% ->
% quotient(B,
% t(B,
% quotient(B,
% quotient(
% eta(
% quotient(B,C)),
% quotient(
% i(B),
% quotient(B,C))))))
% New rule produced :
% [3186]
% quotient(t(quotient(A,B),B),A) ->
% t(A,quotient(A,quotient(eta(quotient(A,B)),quotient(i(A),quotient(A,B)))))
% Rule
% [1000]
% quotient(quotient(A,quotient(t(quotient(A,B),B),A)),t(t(quotient(A,B),B),
% quotient(A,B))) -> A
% collapsed.
% Rule
% [1003]
% quotient(quotient(t(quotient(A,B),B),t(t(quotient(A,B),B),quotient(A,B))),
% quotient(t(quotient(A,B),B),A)) -> t(quotient(A,B),B) collapsed.
% Rule
% [1459]
% quotient(quotient(t(quotient(A,B),B),A),quotient(t(quotient(A,B),B),quotient(A,
% t(A,
% quotient(A,
% quotient(
% eta(B),
% quotient(
% i(A),B)))))))
% -> t(quotient(A,B),B) collapsed.
% Rule
% [1997]
% quotient(eta(A),i(quotient(quotient(difference(i(t(t(quotient(B,C),C),
% quotient(B,C))),quotient(
% j(quotient(
% i(B),
% eta(
% quotient(
% eta(A),
% i(
% t(
% t(
% quotient(B,C),C),
% quotient(B,C))))))),
% quotient(
% t(quotient(B,C),C),B))),
% t(t(quotient(B,C),C),quotient(B,C))),B))) ->
% j(j(quotient(eta(A),i(t(t(quotient(B,C),C),quotient(B,C)))))) collapsed.
% Rule
% [2347]
% quotient(quotient(quotient(A,quotient(t(quotient(A,B),B),A)),quotient(
% t(t(quotient(A,B),B),
% quotient(A,B)),
% quotient(A,
% quotient(
% t(quotient(A,B),B),A)))),A)
% -> quotient(A,quotient(t(quotient(A,B),B),A)) collapsed.
% Rule
% [2368]
% difference(t(A,t(t(quotient(A,B),B),quotient(A,B))),quotient(A,quotient(
% t(quotient(A,B),B),A)))
% -> A collapsed.
% Rule
% [2379]
% difference(t(t(quotient(A,B),B),quotient(t(quotient(A,B),B),A)),quotient(
% t(quotient(A,B),B),
% t(t(quotient(A,B),B),
% quotient(A,B))))
% -> t(quotient(A,B),B) collapsed.
% Rule
% [2423]
% quotient(quotient(A,quotient(t(quotient(A,B),B),A)),t(A,t(t(quotient(A,B),B),
% quotient(A,B)))) ->
% t(t(A,t(t(quotient(A,B),B),quotient(A,B))),A) collapsed.
% Rule
% [2455]
% quotient(quotient(t(t(quotient(A,B),B),quotient(A,B)),A),quotient(t(t(
% quotient(A,B),B),
% quotient(A,B)),
% quotient(A,quotient(
% t(
% quotient(A,B),B),A))))
% -> t(t(quotient(A,B),B),quotient(A,B)) collapsed.
% Rule
% [2458]
% quotient(quotient(A,quotient(t(quotient(A,B),B),A)),t(t(A,t(t(quotient(A,B),B),
% quotient(A,B))),A))
% ->
% t(t(t(A,t(t(quotient(A,B),B),quotient(A,B))),A),t(A,t(t(quotient(A,B),B),
% quotient(A,B))))
% collapsed.
% Rule
% [2482]
% quotient(quotient(t(quotient(A,B),B),t(t(quotient(A,B),B),quotient(A,B))),
% t(t(quotient(A,B),B),quotient(t(quotient(A,B),B),A))) ->
% t(t(t(quotient(A,B),B),quotient(t(quotient(A,B),B),A)),t(quotient(A,B),B))
% collapsed.
% Rule
% [2508]
% quotient(difference(i(A),quotient(difference(i(t(t(quotient(A,B),B),quotient(A,B))),
% quotient(A,quotient(t(quotient(A,B),B),A))),
% t(t(quotient(A,B),B),quotient(A,B)))),A) ->
% quotient(A,quotient(t(quotient(A,B),B),A)) collapsed.
% Rule
% [2545]
% difference(t(t(A,t(t(quotient(A,B),B),quotient(A,B))),A),quotient(A,quotient(
% t(
% quotient(A,B),B),A)))
% -> t(A,t(t(quotient(A,B),B),quotient(A,B))) collapsed.
% Rule
% [2784]
% difference(t(t(t(quotient(A,B),B),quotient(t(quotient(A,B),B),A)),t(quotient(A,B),B)),
% quotient(t(quotient(A,B),B),t(t(quotient(A,B),B),quotient(A,B)))) ->
% t(t(quotient(A,B),B),quotient(t(quotient(A,B),B),A)) collapsed.
% Current number of equations to process: 1218
% Current number of ordered equations: 0
% Current number of rules: 1285
% New rule produced :
% [3187]
% t(j(j(A)),quotient(j(j(A)),quotient(eta(A),i(quotient(A,j(A)))))) ->
% j(j(j(j(j(A)))))
% Current number of equations to process: 1217
% Current number of ordered equations: 0
% Current number of rules: 1286
% New rule produced :
% [3188]
% difference(quotient(A,B),t(A,quotient(A,quotient(eta(B),quotient(i(A),B)))))
% -> quotient(quotient(A,B),quotient(A,quotient(B,A)))
% Current number of equations to process: 1216
% Current number of ordered equations: 0
% Current number of rules: 1287
% New rule produced :
% [3189]
% quotient(j(eta(A)),j(A)) ->
% t(j(A),quotient(j(A),quotient(eta(A),j(t(A,i(quotient(A,j(A))))))))
% Rule
% [2074] quotient(quotient(j(A),quotient(j(eta(A)),j(A))),j(j(j(A)))) -> j(A)
% collapsed.
% Rule
% [2075]
% quotient(quotient(j(eta(A)),j(j(j(A)))),quotient(j(eta(A)),j(A))) ->
% j(eta(A)) collapsed.
% Rule [2190] quotient(quotient(j(eta(A)),j(A)),j(j(A))) -> j(eta(A))
% collapsed.
% Rule
% [2201]
% t(quotient(eta(A),quotient(j(eta(A)),j(A))),quotient(j(eta(A)),j(A))) ->
% j(j(A)) collapsed.
% Rule
% [2355]
% quotient(quotient(quotient(j(eta(A)),j(A)),quotient(j(j(A)),quotient(
% j(eta(A)),
% j(A)))),j(eta(A)))
% -> quotient(j(eta(A)),j(A)) collapsed.
% Rule
% [2357]
% quotient(quotient(quotient(j(A),quotient(j(eta(A)),j(A))),quotient(j(j(j(A))),
% quotient(j(A),
% quotient(j(eta(A)),
% j(A))))),j(A)) ->
% quotient(j(A),quotient(j(eta(A)),j(A))) collapsed.
% Rule
% [2359]
% quotient(quotient(quotient(j(eta(A)),j(j(j(A)))),quotient(quotient(j(eta(A)),
% j(A)),quotient(
% j(eta(A)),
% j(j(j(A)))))),
% j(eta(A))) -> quotient(j(eta(A)),j(j(j(A)))) collapsed.
% Rule
% [2384] difference(t(j(eta(A)),j(j(A))),quotient(j(eta(A)),j(A))) -> j(eta(A))
% collapsed.
% Rule
% [2387]
% difference(t(j(A),j(j(j(A)))),quotient(j(A),quotient(j(eta(A)),j(A)))) ->
% j(A) collapsed.
% Rule
% [2389]
% difference(t(j(eta(A)),quotient(j(eta(A)),j(A))),quotient(j(eta(A)),j(
% j(j(A)))))
% -> j(eta(A)) collapsed.
% Rule
% [2440]
% quotient(quotient(j(eta(A)),j(A)),t(j(eta(A)),j(j(A)))) ->
% t(t(j(eta(A)),j(j(A))),j(eta(A))) collapsed.
% Rule
% [2442]
% quotient(quotient(j(A),quotient(j(eta(A)),j(A))),t(j(A),j(j(j(A))))) ->
% t(t(j(A),j(j(j(A)))),j(A)) collapsed.
% Rule
% [2445]
% quotient(quotient(j(eta(A)),j(j(j(A)))),t(j(eta(A)),quotient(j(eta(A)),j(A))))
% -> t(t(j(eta(A)),quotient(j(eta(A)),j(A))),j(eta(A))) collapsed.
% Rule
% [2556]
% difference(t(t(j(eta(A)),j(j(A))),j(eta(A))),quotient(j(eta(A)),j(A))) ->
% t(j(eta(A)),j(j(A))) collapsed.
% Rule
% [2559]
% difference(t(t(j(A),j(j(j(A)))),j(A)),quotient(j(A),quotient(j(eta(A)),j(A))))
% -> t(j(A),j(j(j(A)))) collapsed.
% Rule
% [2562]
% difference(t(t(j(eta(A)),quotient(j(eta(A)),j(A))),j(eta(A))),quotient(
% j(eta(A)),
% j(j(j(A))))) ->
% t(j(eta(A)),quotient(j(eta(A)),j(A))) collapsed.
% Rule
% [2595]
% quotient(quotient(j(eta(A)),j(A)),t(t(j(eta(A)),j(j(A))),j(eta(A)))) ->
% t(t(t(j(eta(A)),j(j(A))),j(eta(A))),t(j(eta(A)),j(j(A)))) collapsed.
% Rule
% [2596]
% quotient(quotient(j(A),quotient(j(eta(A)),j(A))),t(t(j(A),j(j(j(A)))),j(A)))
% -> t(t(t(j(A),j(j(j(A)))),j(A)),t(j(A),j(j(j(A))))) collapsed.
% Rule
% [2651]
% quotient(quotient(j(eta(A)),j(j(j(A)))),t(t(j(eta(A)),quotient(j(eta(A)),
% j(A))),j(eta(A)))) ->
% t(t(t(j(eta(A)),quotient(j(eta(A)),j(A))),j(eta(A))),t(j(eta(A)),quotient(
% j(eta(A)),
% j(A))))
% collapsed.
% Current number of equations to process: 1234
% Current number of ordered equations: 0
% Current number of rules: 1269
% New rule produced :
% [3190]
% t(A,quotient(A,quotient(eta(A),j(t(i(A),j(t(A,i(quotient(A,j(A)))))))))) ->
% j(j(j(A)))
% Current number of equations to process: 1233
% Current number of ordered equations: 0
% Current number of rules: 1270
% New rule produced :
% [3191]
% quotient(t(j(A),quotient(j(A),quotient(eta(A),j(t(A,i(quotient(A,j(A)))))))),
% j(j(A))) -> j(eta(A))
% Current number of equations to process: 1232
% Current number of ordered equations: 0
% Current number of rules: 1271
% New rule produced :
% [3192]
% quotient(j(j(t(eta(A),B))),j(eta(A))) ->
% t(eta(A),quotient(j(j(B)),j(eta(A))))
% Current number of equations to process: 1233
% Current number of ordered equations: 0
% Current number of rules: 1272
% New rule produced :
% [3193] quotient(j(quotient(eta(A),j(eta(A)))),j(eta(A))) -> j(eta(A))
% Rule
% [2701]
% quotient(j(quotient(j(quotient(eta(A),j(eta(A)))),j(eta(A)))),j(j(quotient(
% eta(A),
% j(eta(A))))))
% -> j(eta(A)) collapsed.
% Current number of equations to process: 1236
% Current number of ordered equations: 0
% Current number of rules: 1272
% New rule produced :
% [3194] quotient(eta(A),j(j(quotient(eta(A),j(eta(A)))))) -> j(eta(A))
% Current number of equations to process: 1235
% Current number of ordered equations: 0
% Current number of rules: 1273
% New rule produced :
% [3195]
% quotient(i(i(t(eta(A),B))),j(eta(A))) ->
% t(eta(A),quotient(i(i(B)),j(eta(A))))
% Current number of equations to process: 1236
% Current number of ordered equations: 0
% Current number of rules: 1274
% New rule produced :
% [3196]
% quotient(j(eta(A)),j(j(t(eta(A),B)))) ->
% t(eta(A),quotient(j(eta(A)),j(j(B))))
% Current number of equations to process: 1242
% Current number of ordered equations: 0
% Current number of rules: 1275
% New rule produced :
% [3197]
% t(eta(A),quotient(j(eta(A)),j(quotient(eta(A),j(eta(A)))))) ->
% quotient(j(eta(A)),j(quotient(eta(A),j(eta(A)))))
% Current number of equations to process: 1243
% Current number of ordered equations: 0
% Current number of rules: 1276
% Rule [2453]
% quotient(j(quotient(i(quotient(eta(A),quotient(j(A),i(i(i(i(i(i(A))))))))),
% j(eta(A)))),j(j(A))) ->
% t(quotient(eta(A),quotient(j(eta(A)),i(i(i(i(i(A))))))),quotient(
% j(eta(A)),
% i(i(i(i(i(A))))))) is composed into
% [2453]
% quotient(j(quotient(i(quotient(eta(A),quotient(j(A),i(i(i(i(i(i(A))))))))),
% j(eta(A)))),j(j(A))) -> t(quotient(eta(A),i(i(A))),i(i(A)))
% New rule produced : [3198] quotient(j(eta(A)),i(i(i(i(i(A)))))) -> i(i(A))
% Rule
% [2696]
% quotient(quotient(j(eta(A)),i(i(i(A)))),quotient(j(eta(A)),i(i(i(i(i(A)))))))
% -> j(eta(A)) collapsed.
% Rule
% [2699]
% quotient(quotient(i(i(i(i(i(A))))),quotient(j(eta(A)),i(i(i(i(i(A))))))),
% i(i(i(A)))) -> i(i(i(i(i(A))))) collapsed.
% Rule
% [2787]
% quotient(i(i(i(i(i(i(A)))))),quotient(eta(t(quotient(eta(A),quotient(
% j(eta(A)),
% i(i(i(i(i(A))))))),
% quotient(j(eta(A)),i(i(i(i(i(A)))))))),
% quotient(i(i(i(i(i(i(i(A))))))),t(quotient(
% eta(A),
% quotient(
% j(eta(A)),
% i(i(i(i(i(A))))))),
% quotient(
% j(eta(A)),
% i(i(i(i(i(A))))))))))
% -> i(i(i(i(i(A))))) collapsed.
% Current number of equations to process: 1247
% Current number of ordered equations: 0
% Current number of rules: 1274
% New rule produced :
% [3199] quotient(quotient(j(eta(A)),i(i(i(A)))),i(i(A))) -> j(eta(A))
% Current number of equations to process: 1247
% Current number of ordered equations: 0
% Current number of rules: 1275
% New rule produced :
% [3200]
% quotient(j(eta(A)),i(i(t(eta(A),B)))) ->
% t(eta(A),quotient(j(eta(A)),i(i(B))))
% Current number of equations to process: 1246
% Current number of ordered equations: 0
% Current number of rules: 1276
% New rule produced :
% [3201]
% quotient(quotient(eta(A),j(t(i(i(A)),i(t(i(A),j(t(A,i(quotient(A,j(A)))))))))),
% i(i(i(A)))) -> i(i(i(i(i(A)))))
% Current number of equations to process: 1246
% Current number of ordered equations: 0
% Current number of rules: 1277
% New rule produced :
% [3202]
% difference(j(eta(A)),j(j(t(eta(A),B)))) ->
% t(eta(A),difference(j(eta(A)),j(j(B))))
% Current number of equations to process: 1247
% Current number of ordered equations: 0
% Current number of rules: 1278
% New rule produced :
% [3203]
% t(eta(A),difference(j(eta(A)),j(quotient(eta(A),j(eta(A)))))) ->
% difference(j(eta(A)),j(quotient(eta(A),j(eta(A)))))
% Current number of equations to process: 1247
% Current number of ordered equations: 0
% Current number of rules: 1279
% New rule produced :
% [3204]
% difference(j(eta(A)),i(i(t(eta(A),B)))) ->
% t(eta(A),difference(j(eta(A)),i(i(B))))
% Current number of equations to process: 1247
% Current number of ordered equations: 0
% Current number of rules: 1280
% New rule produced :
% [3205] quotient(j(t(eta(A),B)),i(A)) -> t(eta(A),quotient(j(B),j(j(j(A)))))
% Current number of equations to process: 1259
% Current number of ordered equations: 0
% Current number of rules: 1281
% New rule produced :
% [3206] quotient(i(t(eta(A),B)),i(A)) -> t(eta(A),quotient(i(B),j(j(j(A)))))
% Current number of equations to process: 1258
% Current number of ordered equations: 0
% Current number of rules: 1282
% New rule produced :
% [3207]
% quotient(quotient(eta(A),quotient(t(A,i(quotient(A,j(A)))),eta(A))),A) ->
% i(i(A))
% Current number of equations to process: 1269
% Current number of ordered equations: 0
% Current number of rules: 1283
% New rule produced :
% [3208]
% quotient(eta(A),j(t(i(A),j(t(A,i(quotient(A,j(A)))))))) ->
% t(eta(A),quotient(A,j(j(j(A)))))
% Rule
% [3190]
% t(A,quotient(A,quotient(eta(A),j(t(i(A),j(t(A,i(quotient(A,j(A)))))))))) ->
% j(j(j(A))) collapsed.
% Current number of equations to process: 1269
% Current number of ordered equations: 0
% Current number of rules: 1283
% New rule produced :
% [3209] t(A,quotient(A,t(eta(A),quotient(A,j(j(j(A))))))) -> j(j(j(A)))
% Current number of equations to process: 1268
% Current number of ordered equations: 0
% Current number of rules: 1284
% New rule produced :
% [3210]
% t(t(eta(A),quotient(B,j(j(j(A))))),i(A)) ->
% t(eta(A),t(quotient(B,j(j(j(A)))),j(j(j(A)))))
% Current number of equations to process: 1267
% Current number of ordered equations: 0
% Current number of rules: 1285
% New rule produced :
% [3211]
% quotient(quotient(i(A),t(eta(A),quotient(B,j(j(j(A)))))),quotient(i(A),
% t(eta(A),B))) ->
% i(A)
% Current number of equations to process: 1266
% Current number of ordered equations: 0
% Current number of rules: 1286
% New rule produced :
% [3212]
% quotient(quotient(eta(A),quotient(quotient(B,A),eta(A))),j(B)) -> i(i(A))
% Current number of equations to process: 1280
% Current number of ordered equations: 0
% Current number of rules: 1287
% New rule produced :
% [3213]
% quotient(quotient(eta(A),quotient(quotient(i(B),j(A)),eta(A))),B) -> i(A)
% Current number of equations to process: 1281
% Current number of ordered equations: 0
% Current number of rules: 1288
% New rule produced :
% [3214]
% quotient(quotient(eta(A),quotient(quotient(i(B),i(A)),eta(A))),B) ->
% i(i(i(A)))
% Rule
% [1388]
% quotient(eta(A),i(quotient(quotient(eta(B),quotient(quotient(i(C),i(B)),
% eta(B))),C))) ->
% quotient(eta(A),i(i(i(i(B))))) collapsed.
% Current number of equations to process: 1280
% Current number of ordered equations: 0
% Current number of rules: 1288
% New rule produced :
% [3215]
% quotient(quotient(eta(A),quotient(quotient(j(eta(B)),A),eta(A))),eta(B)) ->
% i(i(A))
% Rule
% [1399]
% quotient(eta(A),i(quotient(quotient(eta(B),quotient(quotient(j(eta(C)),B),
% eta(B))),eta(C)))) ->
% quotient(eta(A),i(i(i(B)))) collapsed.
% Current number of equations to process: 1279
% Current number of ordered equations: 0
% Current number of rules: 1288
% Rule [1798]
% quotient(eta(A),i(quotient(quotient(quotient(quotient(eta(A),quotient(
% i(B),A)),
% quotient(B,quotient(eta(A),quotient(
% i(B),A)))),
% eta(A)),A))) ->
% quotient(eta(A),quotient(quotient(i(quotient(B,j(eta(A)))),A),eta(A))) is composed into
% [1798]
% quotient(eta(A),i(quotient(quotient(quotient(quotient(eta(A),quotient(i(B),A)),
% quotient(B,quotient(eta(A),quotient(
% i(B),A)))),
% eta(A)),A))) ->
% quotient(eta(A),quotient(i(quotient(B,j(eta(A)))),i(i(A))))
% Rule [1791]
% quotient(quotient(eta(quotient(quotient(eta(A),quotient(i(C),i(i(A)))),C)),
% quotient(i(quotient(eta(B),quotient(i(C),B))),quotient(
% quotient(
% eta(A),quotient(
% i(C),
% i(
% i(A)))),C))),C)
% <->
% quotient(quotient(eta(A),quotient(quotient(i(quotient(eta(B),quotient(
% i(C),B))),A),
% eta(A))),C) is composed into [1791]
% quotient(quotient(
% eta(
% quotient(
% quotient(
% eta(A),
% quotient(
% i(C),
% i(
% i(A)))),C)),
% quotient(
% i(
% quotient(
% eta(B),
% quotient(
% i(C),B))),
% quotient(
% quotient(
% eta(A),
% quotient(
% i(C),
% i(
% i(A)))),C))),C)
% ->
% quotient(quotient(
% eta(A),
% quotient(
% i(
% quotient(
% eta(B),
% quotient(
% i(C),B))),
% i(
% i(A)))),C)
% New rule produced :
% [3216]
% quotient(eta(A),quotient(quotient(i(B),A),eta(A))) ->
% quotient(eta(A),quotient(i(B),i(i(A))))
% Rule
% [1174]
% quotient(quotient(eta(A),quotient(quotient(i(B),A),eta(A))),B) -> i(i(A))
% collapsed.
% Rule
% [1295]
% t(A,quotient(eta(B),quotient(quotient(i(A),B),eta(B)))) ->
% t(A,quotient(eta(B),i(quotient(eta(B),quotient(i(A),B))))) collapsed.
% Rule
% [1442]
% quotient(i(i(quotient(eta(A),quotient(quotient(i(B),A),eta(A))))),B) ->
% j(quotient(i(i(i(A))),eta(quotient(eta(A),quotient(quotient(i(B),A),eta(A))))))
% collapsed.
% Rule
% [1460]
% t(A,quotient(A,quotient(eta(B),i(quotient(eta(C),quotient(quotient(i(A),C),
% eta(C))))))) ->
% t(A,quotient(A,quotient(eta(B),i(quotient(eta(C),quotient(i(A),i(i(C))))))))
% collapsed.
% Rule
% [1554]
% quotient(eta(A),i(quotient(quotient(eta(B),quotient(quotient(i(C),B),eta(B))),
% quotient(eta(A),i(i(i(B))))))) ->
% t(quotient(eta(A),i(i(i(B)))),C) collapsed.
% Rule
% [1555]
% quotient(quotient(A,quotient(eta(B),i(i(i(C))))),quotient(A,quotient(
% eta(B),i(
% quotient(
% eta(C),
% quotient(
% quotient(
% i(A),C),
% eta(C)))))))
% -> A collapsed.
% Rule
% [1571]
% difference(t(quotient(eta(A),i(i(i(B)))),C),quotient(eta(A),i(quotient(
% eta(B),
% quotient(
% quotient(
% i(C),B),
% eta(B)))))) ->
% quotient(eta(A),i(i(i(B)))) collapsed.
% Rule
% [1663]
% quotient(quotient(quotient(eta(A),quotient(quotient(i(quotient(eta(B),
% quotient(i(C),B))),A),
% eta(A))),C),B) ->
% quotient(eta(A),i(quotient(quotient(quotient(eta(A),quotient(i(quotient(
% eta(B),
% quotient(
% i(C),B))),A)),C),B)))
% collapsed.
% Rule
% [1701]
% quotient(eta(A),i(quotient(quotient(eta(B),quotient(quotient(i(C),B),eta(B))),
% t(quotient(eta(A),i(i(i(B)))),C)))) ->
% t(t(quotient(eta(A),i(i(i(B)))),C),quotient(eta(A),i(i(i(B))))) collapsed.
% Rule
% [1706]
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(quotient(i(C),B),
% eta(B)))),A)),C) ->
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(C),i(i(B))))),A)),C)
% collapsed.
% Rule
% [1790]
% quotient(quotient(eta(A),quotient(quotient(i(quotient(eta(B),quotient(i(C),B))),A),
% eta(A))),C) <->
% quotient(quotient(eta(quotient(quotient(eta(A),quotient(i(C),i(i(A)))),C)),
% quotient(i(quotient(eta(B),quotient(i(C),B))),quotient(quotient(
% eta(A),
% quotient(
% i(C),
% i(i(A)))),C))),C)
% collapsed.
% Rule
% [1802]
% difference(t(t(quotient(eta(A),i(i(i(B)))),C),quotient(eta(A),i(i(i(B))))),
% quotient(eta(A),i(quotient(eta(B),quotient(quotient(i(C),B),eta(B)))))) ->
% t(quotient(eta(A),i(i(i(B)))),C) collapsed.
% Rule
% [1818]
% difference(quotient(eta(B),quotient(quotient(i(C),B),eta(B))),quotient(
% eta(B),
% quotient(
% quotient(
% i(quotient(
% eta(C),
% quotient(
% i(A),C))),B),
% eta(B)))) ->
% quotient(quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(
% i(C),i(i(B))))),A)),C),
% i(i(B))) collapsed.
% Rule
% [1894]
% quotient(eta(A),i(quotient(quotient(quotient(eta(B),quotient(quotient(i(C),B),
% eta(B))),quotient(C,
% quotient(
% eta(A),i(
% quotient(
% eta(B),
% quotient(
% quotient(
% i(C),B),
% eta(B))))))),
% quotient(eta(A),i(i(i(B))))))) ->
% quotient(eta(A),i(quotient(eta(B),quotient(quotient(i(C),B),eta(B)))))
% collapsed.
% Rule
% [1953]
% quotient(eta(A),i(quotient(quotient(quotient(eta(B),quotient(quotient(i(C),B),
% eta(B))),quotient(
% eta(A),i(
% quotient(
% i(
% i(B)),
% quotient(
% eta(A),
% i(
% quotient(
% eta(B),
% quotient(
% quotient(
% i(C),B),
% eta(B))))))))),
% t(quotient(eta(A),i(i(i(B)))),C)))) ->
% quotient(eta(A),i(quotient(eta(B),quotient(quotient(i(C),B),eta(B)))))
% collapsed.
% Rule
% [2990]
% quotient(quotient(eta(quotient(A,B)),quotient(quotient(i(B),quotient(A,B)),
% eta(quotient(A,B)))),A) ->
% eta(quotient(A,B)) collapsed.
% Rule
% [3013]
% quotient(quotient(eta(quotient(A,B)),quotient(quotient(i(B),quotient(A,B)),
% eta(quotient(A,B)))),t(eta(quotient(A,B)),A))
% -> t(eta(quotient(A,B)),t(A,eta(quotient(A,B)))) collapsed.
% Current number of equations to process: 1303
% Current number of ordered equations: 0
% Current number of rules: 1272
% New rule produced :
% [3217] quotient(quotient(eta(A),quotient(i(B),i(i(A)))),B) -> i(i(A))
% Rule
% [1791]
% quotient(quotient(eta(quotient(quotient(eta(A),quotient(i(C),i(i(A)))),C)),
% quotient(i(quotient(eta(B),quotient(i(C),B))),quotient(quotient(
% eta(A),
% quotient(
% i(C),
% i(i(A)))),C))),C)
% ->
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(C),B))),
% i(i(A)))),C) collapsed.
% Current number of equations to process: 1302
% Current number of ordered equations: 0
% Current number of rules: 1272
% New rule produced :
% [3218]
% quotient(quotient(eta(A),quotient(i(B),i(i(A)))),i(i(A))) -> t(i(i(A)),B)
% Current number of equations to process: 1303
% Current number of ordered equations: 0
% Current number of rules: 1273
% New rule produced :
% [3219]
% quotient(quotient(eta(quotient(A,B)),quotient(i(B),i(i(quotient(A,B))))),A)
% -> eta(quotient(A,B))
% Current number of equations to process: 1302
% Current number of ordered equations: 0
% Current number of rules: 1274
% New rule produced :
% [3220]
% quotient(quotient(eta(difference(A,i(B))),quotient(A,eta(difference(A,i(B))))),B)
% -> i(i(difference(A,i(B))))
% Rule
% [1469]
% quotient(eta(A),i(quotient(quotient(eta(difference(B,i(C))),quotient(B,
% eta(difference(B,
% i(C))))),C)))
% -> quotient(eta(A),i(i(i(difference(B,i(C)))))) collapsed.
% Current number of equations to process: 1301
% Current number of ordered equations: 0
% Current number of rules: 1274
% New rule produced :
% [3221]
% quotient(quotient(A,i(i(B))),quotient(A,quotient(eta(B),quotient(i(A),
% i(i(B)))))) -> A
% Current number of equations to process: 1300
% Current number of ordered equations: 0
% Current number of rules: 1275
% New rule produced :
% [3222]
% quotient(quotient(eta(A),quotient(i(B),i(i(A)))),t(i(i(A)),B)) ->
% t(t(i(i(A)),B),i(i(A)))
% Current number of equations to process: 1299
% Current number of ordered equations: 0
% Current number of rules: 1276
% New rule produced :
% [3223]
% quotient(quotient(eta(A),quotient(quotient(j(t(eta(B),eta(C))),A),eta(A))),
% t(eta(B),eta(C))) -> i(i(A))
% Current number of equations to process: 1298
% Current number of ordered equations: 0
% Current number of rules: 1277
% New rule produced :
% [3224]
% quotient(i(i(quotient(eta(A),quotient(i(B),i(i(A)))))),B) ->
% j(quotient(i(i(i(A))),eta(quotient(eta(A),quotient(i(B),i(i(A)))))))
% Current number of equations to process: 1297
% Current number of ordered equations: 0
% Current number of rules: 1278
% New rule produced :
% [3225]
% quotient(quotient(eta(quotient(i(A),B)),quotient(t(quotient(i(A),B),B),
% eta(quotient(i(A),B)))),A) ->
% i(i(quotient(i(A),B)))
% Rule
% [1627]
% quotient(eta(A),i(quotient(quotient(eta(quotient(i(B),C)),quotient(t(
% quotient(
% i(B),C),C),
% eta(quotient(
% i(B),C)))),B)))
% -> quotient(eta(A),i(i(i(quotient(i(B),C))))) collapsed.
% Current number of equations to process: 1296
% Current number of ordered equations: 0
% Current number of rules: 1278
% New rule produced :
% [3226] quotient(eta(A),quotient(quotient(j(eta(B)),i(i(i(A)))),A)) -> eta(B)
% Current number of equations to process: 1311
% Current number of ordered equations: 0
% Current number of rules: 1279
% New rule produced :
% [3227]
% quotient(eta(A),quotient(eta(B),quotient(j(eta(A)),i(i(i(i(B))))))) ->
% i(i(i(B)))
% Current number of equations to process: 1311
% Current number of ordered equations: 0
% Current number of rules: 1280
% New rule produced :
% [3228]
% t(i(i(B)),quotient(eta(B),quotient(j(eta(A)),i(i(i(B)))))) ->
% quotient(eta(A),i(i(B)))
% Current number of equations to process: 1310
% Current number of ordered equations: 0
% Current number of rules: 1281
% New rule produced :
% [3229]
% j(t(eta(B),quotient(eta(A),quotient(j(eta(B)),i(i(i(A))))))) <->
% quotient(i(i(A)),eta(B))
% Current number of equations to process: 1309
% Current number of ordered equations: 1
% Current number of rules: 1282
% New rule produced :
% [3230]
% quotient(i(i(A)),eta(B)) <->
% j(t(eta(B),quotient(eta(A),quotient(j(eta(B)),i(i(i(A)))))))
% Current number of equations to process: 1309
% Current number of ordered equations: 0
% Current number of rules: 1283
% New rule produced :
% [3231]
% quotient(quotient(eta(A),quotient(quotient(eta(B),quotient(j(eta(A)),
% i(i(i(B))))),eta(A))),
% i(i(B))) -> eta(A)
% Current number of equations to process: 1308
% Current number of ordered equations: 0
% Current number of rules: 1284
% New rule produced : [3232] t(t(eta(A),B),i(A)) -> t(eta(A),t(B,j(j(j(A)))))
% Rule
% [3210]
% t(t(eta(A),quotient(B,j(j(j(A))))),i(A)) ->
% t(eta(A),t(quotient(B,j(j(j(A)))),j(j(j(A))))) collapsed.
% Current number of equations to process: 1312
% Current number of ordered equations: 0
% Current number of rules: 1284
% New rule produced : [3233] t(t(eta(A),B),i(i(A))) -> t(eta(A),t(B,j(j(A))))
% Current number of equations to process: 1313
% Current number of ordered equations: 0
% Current number of rules: 1285
% New rule produced :
% [3234]
% t(t(eta(A),B),i(quotient(eta(A),j(eta(A))))) ->
% t(eta(A),t(B,j(quotient(eta(A),j(eta(A))))))
% Current number of equations to process: 1318
% Current number of ordered equations: 0
% Current number of rules: 1286
% New rule produced :
% [3235]
% t(eta(A),t(B,j(quotient(eta(A),j(j(j(j(j(A))))))))) <-> t(t(eta(A),B),j(A))
% Current number of equations to process: 1317
% Current number of ordered equations: 1
% Current number of rules: 1287
% New rule produced :
% [3236]
% t(t(eta(A),B),j(A)) <-> t(eta(A),t(B,j(quotient(eta(A),j(j(j(j(j(A)))))))))
% Current number of equations to process: 1317
% Current number of ordered equations: 0
% Current number of rules: 1288
% New rule produced :
% [3237]
% t(eta(A),t(A,j(quotient(eta(B),quotient(j(eta(A)),i(B)))))) ->
% t(i(i(i(i(A)))),quotient(B,eta(A)))
% Current number of equations to process: 1316
% Current number of ordered equations: 0
% Current number of rules: 1289
% New rule produced :
% [3238]
% t(eta(A),t(j(B),j(quotient(eta(C),quotient(j(eta(A)),i(C)))))) <->
% t(j(t(eta(A),B)),quotient(C,eta(A)))
% Current number of equations to process: 1315
% Current number of ordered equations: 1
% Current number of rules: 1290
% New rule produced :
% [3239]
% t(j(t(eta(A),B)),quotient(C,eta(A))) <->
% t(eta(A),t(j(B),j(quotient(eta(C),quotient(j(eta(A)),i(C))))))
% Current number of equations to process: 1315
% Current number of ordered equations: 0
% Current number of rules: 1291
% New rule produced :
% [3240]
% t(eta(A),t(i(B),j(quotient(eta(C),quotient(j(eta(A)),i(C)))))) <->
% t(i(t(eta(A),B)),quotient(C,eta(A)))
% Current number of equations to process: 1314
% Current number of ordered equations: 1
% Current number of rules: 1292
% New rule produced :
% [3241]
% t(i(t(eta(A),B)),quotient(C,eta(A))) <->
% t(eta(A),t(i(B),j(quotient(eta(C),quotient(j(eta(A)),i(C))))))
% Current number of equations to process: 1314
% Current number of ordered equations: 0
% Current number of rules: 1293
% New rule produced : [3242] t(t(eta(A),B),i(i(i(A)))) -> t(eta(A),t(B,j(A)))
% Current number of equations to process: 1318
% Current number of ordered equations: 0
% Current number of rules: 1294
% New rule produced :
% [3243] t(i(i(i(i(A)))),j(t(eta(A),B))) -> t(eta(A),t(A,j(B)))
% Current number of equations to process: 1317
% Current number of ordered equations: 0
% Current number of rules: 1295
% New rule produced :
% [3244] t(t(eta(A),B),j(j(t(eta(A),C)))) -> t(eta(A),t(B,j(j(C))))
% Current number of equations to process: 1315
% Current number of ordered equations: 1
% Current number of rules: 1296
% New rule produced :
% [3245] t(j(t(eta(A),B)),j(t(eta(A),C))) -> t(eta(A),t(j(B),j(C)))
% Current number of equations to process: 1315
% Current number of ordered equations: 0
% Current number of rules: 1297
% New rule produced :
% [3246] t(i(t(eta(A),B)),j(t(eta(A),C))) -> t(eta(A),t(i(B),j(C)))
% Current number of equations to process: 1314
% Current number of ordered equations: 0
% Current number of rules: 1298
% New rule produced :
% [3247]
% t(quotient(eta(A),j(eta(A))),j(t(eta(A),B))) ->
% t(eta(A),t(quotient(eta(A),j(eta(A))),j(B)))
% Current number of equations to process: 1314
% Current number of ordered equations: 1
% Current number of rules: 1299
% New rule produced :
% [3248]
% t(t(eta(A),B),j(quotient(eta(A),j(eta(A))))) ->
% t(eta(A),t(B,j(quotient(eta(A),j(eta(A))))))
% Current number of equations to process: 1314
% Current number of ordered equations: 0
% Current number of rules: 1300
% New rule produced : [3249] t(i(i(i(A))),t(eta(A),B)) -> t(eta(A),t(j(A),B))
% Current number of equations to process: 1317
% Current number of ordered equations: 0
% Current number of rules: 1301
% New rule produced :
% [3250] t(j(t(eta(A),B)),i(i(i(i(A))))) -> t(eta(A),t(j(B),A))
% Current number of equations to process: 1316
% Current number of ordered equations: 0
% Current number of rules: 1302
% New rule produced :
% [3251] t(j(j(t(eta(A),B))),t(eta(A),C)) -> t(eta(A),t(j(j(B)),C))
% Current number of equations to process: 1315
% Current number of ordered equations: 0
% Current number of rules: 1303
% New rule produced :
% [3252] t(j(t(eta(A),B)),i(t(eta(A),C))) -> t(eta(A),t(j(B),i(C)))
% Current number of equations to process: 1314
% Current number of ordered equations: 0
% Current number of rules: 1304
% New rule produced :
% [3253]
% t(j(quotient(eta(A),j(eta(A)))),t(eta(A),B)) ->
% t(eta(A),t(j(quotient(eta(A),j(eta(A)))),B))
% Current number of equations to process: 1314
% Current number of ordered equations: 1
% Current number of rules: 1305
% New rule produced :
% [3254]
% t(j(t(eta(A),B)),quotient(eta(A),j(eta(A)))) ->
% t(eta(A),t(j(B),quotient(eta(A),j(eta(A)))))
% Current number of equations to process: 1314
% Current number of ordered equations: 0
% Current number of rules: 1306
% New rule produced :
% [3255] t(t(eta(A),B),i(i(i(i(i(A)))))) -> t(eta(A),t(B,i(A)))
% Current number of equations to process: 1316
% Current number of ordered equations: 1
% Current number of rules: 1307
% New rule produced :
% [3256] t(i(i(i(i(A)))),i(t(eta(A),B))) -> t(eta(A),t(A,i(B)))
% Current number of equations to process: 1316
% Current number of ordered equations: 0
% Current number of rules: 1308
% New rule produced :
% [3257] t(t(eta(A),B),i(i(t(eta(A),C)))) -> t(eta(A),t(B,i(i(C))))
% Current number of equations to process: 1314
% Current number of ordered equations: 1
% Current number of rules: 1309
% New rule produced :
% [3258] t(i(t(eta(A),B)),i(t(eta(A),C))) -> t(eta(A),t(i(B),i(C)))
% Current number of equations to process: 1314
% Current number of ordered equations: 0
% Current number of rules: 1310
% New rule produced :
% [3259]
% t(quotient(eta(A),j(eta(A))),i(t(eta(A),B))) ->
% t(eta(A),t(quotient(eta(A),j(eta(A))),i(B)))
% Current number of equations to process: 1314
% Current number of ordered equations: 1
% Current number of rules: 1311
% New rule produced :
% [3260]
% t(eta(A),t(B,i(quotient(eta(A),j(eta(A)))))) ->
% t(eta(A),t(B,j(quotient(eta(A),j(eta(A))))))
% Current number of equations to process: 1314
% Current number of ordered equations: 0
% Current number of rules: 1312
% New rule produced :
% [3261] t(i(t(eta(A),B)),i(i(i(i(A))))) -> t(eta(A),t(i(B),A))
% Current number of equations to process: 1315
% Current number of ordered equations: 1
% Current number of rules: 1313
% New rule produced :
% [3262] t(i(i(i(i(i(A))))),t(eta(A),B)) -> t(eta(A),t(i(A),B))
% Current number of equations to process: 1315
% Current number of ordered equations: 0
% Current number of rules: 1314
% New rule produced :
% [3263] t(i(i(t(eta(A),B))),t(eta(A),C)) -> t(eta(A),t(i(i(B)),C))
% Current number of equations to process: 1314
% Current number of ordered equations: 0
% Current number of rules: 1315
% New rule produced :
% [3264]
% t(i(quotient(eta(A),j(eta(A)))),t(eta(A),B)) ->
% t(eta(A),t(i(quotient(eta(A),j(eta(A)))),B))
% Current number of equations to process: 1316
% Current number of ordered equations: 1
% Current number of rules: 1316
% New rule produced :
% [3265]
% t(i(t(eta(A),B)),quotient(eta(A),j(eta(A)))) ->
% t(eta(A),t(i(B),quotient(eta(A),j(eta(A)))))
% Current number of equations to process: 1316
% Current number of ordered equations: 0
% Current number of rules: 1317
% New rule produced :
% [3266]
% quotient(quotient(A,quotient(j(quotient(i(A),j(eta(B)))),A)),t(A,eta(B))) ->
% t(t(A,eta(B)),A)
% Current number of equations to process: 1315
% Current number of ordered equations: 0
% Current number of rules: 1318
% New rule produced :
% [3267]
% difference(i(i(A)),i(t(i(i(A)),i(t(i(A),j(t(A,i(quotient(A,j(A)))))))))) ->
% i(i(i(i(A))))
% Current number of equations to process: 1314
% Current number of ordered equations: 0
% Current number of rules: 1319
% New rule produced :
% [3268]
% quotient(i(t(i(i(A)),i(t(i(A),j(t(A,i(quotient(A,j(A))))))))),j(j(A))) ->
% j(j(j(j(A))))
% Current number of equations to process: 1313
% Current number of ordered equations: 0
% Current number of rules: 1320
% New rule produced :
% [3269]
% quotient(j(t(A,i(quotient(A,j(A))))),j(j(j(j(j(j(j(j(A))))))))) ->
% j(j(j(j(j(j(j(j(j(j(A))))))))))
% Current number of equations to process: 1312
% Current number of ordered equations: 0
% Current number of rules: 1321
% New rule produced :
% [3270]
% quotient(quotient(j(quotient(eta(A),i(B))),i(quotient(i(B),eta(A)))),
% quotient(i(B),eta(A))) -> j(j(j(j(quotient(i(B),eta(A))))))
% Current number of equations to process: 1311
% Current number of ordered equations: 0
% Current number of rules: 1322
% New rule produced :
% [3271]
% quotient(quotient(i(A),j(quotient(i(A),eta(B)))),t(i(A),quotient(i(A),eta(B))))
% -> t(t(i(A),quotient(i(A),eta(B))),i(A))
% Current number of equations to process: 1310
% Current number of ordered equations: 0
% Current number of rules: 1323
% New rule produced :
% [3272]
% quotient(quotient(eta(A),quotient(quotient(eta(B),quotient(j(eta(A)),i(B))),
% eta(A))),t(eta(A),B)) -> t(eta(A),t(B,eta(A)))
% Current number of equations to process: 1309
% Current number of ordered equations: 0
% Current number of rules: 1324
% New rule produced :
% [3273]
% quotient(t(A,quotient(i(A),j(eta(difference(A,i(B)))))),t(difference(A,i(B)),B))
% -> t(t(difference(A,i(B)),B),difference(A,i(B)))
% Current number of equations to process: 1308
% Current number of ordered equations: 0
% Current number of rules: 1325
% New rule produced :
% [3274]
% quotient(quotient(eta(A),quotient(j(t(eta(B),eta(C))),A)),t(A,t(eta(B),
% eta(C)))) ->
% t(t(A,t(eta(B),eta(C))),A)
% Current number of equations to process: 1307
% Current number of ordered equations: 0
% Current number of rules: 1326
% New rule produced :
% [3275]
% quotient(quotient(A,quotient(j(quotient(i(A),j(eta(B)))),A)),eta(B)) -> A
% Current number of equations to process: 1310
% Current number of ordered equations: 0
% Current number of rules: 1327
% New rule produced : [3276] quotient(j(A),j(quotient(A,j(eta(B))))) -> eta(B)
% Rule
% [2897]
% t(eta(A),t(eta(A),quotient(j(eta(A)),j(quotient(eta(A),j(eta(quotient(
% quotient(
% quotient(A,
% j(A)),eta(A)),A))))))))
% ->
% t(eta(A),quotient(j(eta(A)),j(quotient(eta(A),j(eta(quotient(quotient(
% quotient(A,
% j(A)),eta(A)),A)))))))
% collapsed.
% Rule
% [3197]
% t(eta(A),quotient(j(eta(A)),j(quotient(eta(A),j(eta(A)))))) ->
% quotient(j(eta(A)),j(quotient(eta(A),j(eta(A))))) collapsed.
% Current number of equations to process: 1312
% Current number of ordered equations: 0
% Current number of rules: 1326
% New rule produced :
% [3277] j(t(eta(B),quotient(i(A),j(eta(B))))) -> quotient(A,eta(B))
% Current number of equations to process: 1311
% Current number of ordered equations: 0
% Current number of rules: 1327
% New rule produced :
% [3278]
% difference(t(A,eta(B)),quotient(A,quotient(j(quotient(i(A),j(eta(B)))),A)))
% -> A
% Current number of equations to process: 1318
% Current number of ordered equations: 0
% Current number of rules: 1328
% New rule produced :
% [3279]
% quotient(t(eta(A),eta(B)),j(quotient(j(t(eta(A),eta(B))),j(eta(C))))) ->
% eta(C)
% Current number of equations to process: 1320
% Current number of ordered equations: 0
% Current number of rules: 1329
% New rule produced :
% [3280]
% t(eta(B),t(j(quotient(i(A),j(eta(B)))),eta(B))) ->
% t(quotient(A,eta(B)),eta(B))
% Current number of equations to process: 1319
% Current number of ordered equations: 0
% Current number of rules: 1330
% New rule produced :
% [3281]
% difference(t(t(A,eta(B)),A),quotient(A,quotient(j(quotient(i(A),j(eta(B)))),A)))
% -> t(A,eta(B))
% Current number of equations to process: 1318
% Current number of ordered equations: 0
% Current number of rules: 1331
% New rule produced :
% [3282]
% quotient(quotient(j(quotient(i(A),j(eta(B)))),eta(B)),quotient(j(quotient(
% i(A),
% j(eta(B)))),A))
% -> j(quotient(i(A),j(eta(B))))
% Current number of equations to process: 1317
% Current number of ordered equations: 0
% Current number of rules: 1332
% New rule produced :
% [3283]
% quotient(quotient(A,quotient(j(quotient(i(A),j(eta(B)))),A)),t(t(A,eta(B)),A))
% -> t(t(t(A,eta(B)),A),t(A,eta(B)))
% Current number of equations to process: 1316
% Current number of ordered equations: 0
% Current number of rules: 1333
% New rule produced :
% [3284]
% t(eta(A),quotient(B,j(quotient(eta(A),j(j(j(j(j(A))))))))) ->
% t(eta(A),quotient(B,j(j(j(j(j(A)))))))
% Current number of equations to process: 1349
% Current number of ordered equations: 0
% Current number of rules: 1334
% New rule produced :
% [3285]
% difference(A,quotient(quotient(eta(A),B),A)) ->
% quotient(quotient(eta(A),quotient(B,j(A))),A)
% Current number of equations to process: 1358
% Current number of ordered equations: 0
% Current number of rules: 1335
% New rule produced :
% [3286]
% difference(j(eta(A)),quotient(j(B),j(eta(A)))) ->
% quotient(j(quotient(B,eta(A))),j(eta(A)))
% Current number of equations to process: 1363
% Current number of ordered equations: 0
% Current number of rules: 1336
% New rule produced :
% [3287]
% difference(i(A),j(t(A,i(quotient(A,j(A)))))) ->
% quotient(eta(A),i(quotient(quotient(A,j(A)),i(A))))
% Current number of equations to process: 1362
% Current number of ordered equations: 0
% Current number of rules: 1337
% New rule produced :
% [3288]
% quotient(quotient(quotient(eta(A),B),i(A)),i(A)) ->
% t(i(A),quotient(quotient(eta(A),quotient(B,A)),i(A)))
% Current number of equations to process: 1370
% Current number of ordered equations: 0
% Current number of rules: 1338
% New rule produced :
% [3289]
% difference(i(A),quotient(j(quotient(i(B),eta(A))),i(A))) ->
% quotient(quotient(eta(A),quotient(i(B),A)),i(A))
% Current number of equations to process: 1369
% Current number of ordered equations: 0
% Current number of rules: 1339
% New rule produced :
% [3290]
% difference(i(i(A)),quotient(quotient(eta(A),B),i(i(A)))) ->
% quotient(quotient(eta(A),quotient(B,i(A))),i(i(A)))
% Current number of equations to process: 1368
% Current number of ordered equations: 0
% Current number of rules: 1340
% New rule produced :
% [3291]
% quotient(quotient(quotient(eta(A),B),i(A)),quotient(quotient(eta(A),quotient(B,A)),
% i(A))) -> i(A)
% Current number of equations to process: 1367
% Current number of ordered equations: 0
% Current number of rules: 1341
% New rule produced :
% [3292]
% difference(i(A),quotient(t(quotient(eta(A),B),B),i(A))) ->
% quotient(quotient(eta(A),quotient(quotient(eta(A),B),A)),i(A))
% Current number of equations to process: 1366
% Current number of ordered equations: 0
% Current number of rules: 1342
% New rule produced :
% [3293]
% difference(i(A),quotient(i(i(i(i(i(i(A)))))),i(A))) ->
% quotient(quotient(eta(A),quotient(i(i(i(i(i(A))))),A)),i(A))
% Current number of equations to process: 1365
% Current number of ordered equations: 0
% Current number of rules: 1343
% New rule produced :
% [3294]
% difference(i(A),quotient(B,i(A))) ->
% quotient(quotient(eta(A),quotient(quotient(eta(B),quotient(j(eta(A)),i(B))),A)),
% i(A))
% Rule
% [1194]
% difference(i(A),quotient(quotient(eta(A),B),i(A))) ->
% quotient(quotient(eta(A),quotient(B,A)),i(A)) collapsed.
% Rule
% [1478]
% quotient(difference(i(difference(i(A),B)),quotient(eta(A),i(difference(
% i(A),B)))),
% difference(i(A),B)) -> difference(i(A),quotient(B,j(eta(A)))) collapsed.
% Rule
% [1480]
% quotient(difference(i(difference(j(A),B)),quotient(eta(A),i(difference(
% j(A),B)))),
% difference(j(A),B)) -> difference(j(A),quotient(B,j(eta(A)))) collapsed.
% Rule
% [1541]
% quotient(difference(j(j(j(A))),quotient(difference(i(A),quotient(j(j(A)),
% i(A))),A)),j(
% j(
% j(j(A)))))
% -> quotient(j(j(A)),i(A)) collapsed.
% Rule
% [1576]
% quotient(difference(i(i(quotient(A,j(A)))),quotient(eta(A),i(i(quotient(A,
% j(A)))))),
% i(quotient(A,j(A)))) -> difference(A,quotient(eta(A),j(j(A)))) collapsed.
% Rule
% [1733]
% difference(quotient(A,B),difference(i(quotient(A,i(i(B)))),quotient(eta(B),
% i(quotient(A,
% i(i(B))))))) ->
% quotient(A,i(i(B))) collapsed.
% Rule
% [1735]
% quotient(difference(i(quotient(A,i(i(B)))),quotient(eta(B),i(quotient(A,
% i(i(B)))))),
% quotient(A,i(i(B)))) -> quotient(A,B) collapsed.
% Rule
% [1737]
% quotient(difference(i(quotient(A,i(i(B)))),quotient(eta(B),i(quotient(A,
% i(i(B)))))),
% quotient(A,B)) -> t(quotient(A,B),quotient(A,i(i(B)))) collapsed.
% Rule
% [1740]
% difference(t(quotient(A,B),quotient(A,i(i(B)))),difference(i(quotient(A,
% i(i(B)))),
% quotient(eta(B),i(quotient(A,
% i(i(B)))))))
% -> quotient(A,B) collapsed.
% Rule
% [1998]
% quotient(difference(i(quotient(A,i(i(B)))),quotient(eta(B),i(quotient(A,
% i(i(B)))))),
% t(t(t(quotient(A,B),quotient(A,i(i(B)))),quotient(A,B)),t(quotient(A,B),
% quotient(A,i(i(B))))))
% ->
% t(t(t(t(quotient(A,B),quotient(A,i(i(B)))),quotient(A,B)),t(quotient(A,B),
% quotient(A,
% i(i(B))))),
% t(t(quotient(A,B),quotient(A,i(i(B)))),quotient(A,B))) collapsed.
% Rule
% [2234]
% quotient(difference(i(quotient(A,j(A))),quotient(difference(i(A),quotient(
% quotient(A,
% j(A)),
% i(A))),A)),
% quotient(A,j(A))) -> quotient(quotient(A,j(A)),i(A)) collapsed.
% Rule
% [2772]
% quotient(difference(i(quotient(A,quotient(eta(B),quotient(i(A),B)))),
% quotient(eta(A),i(quotient(A,quotient(eta(B),quotient(i(A),B)))))),
% quotient(A,quotient(eta(B),quotient(i(A),B)))) ->
% difference(A,quotient(quotient(A,B),j(eta(A)))) collapsed.
% Rule
% [3019]
% difference(i(difference(A,B)),quotient(eta(A),i(difference(A,B)))) ->
% quotient(eta(difference(A,quotient(B,j(eta(A))))),quotient(i(difference(A,B)),
% difference(A,quotient(B,
% j(eta(A))))))
% collapsed.
% Rule
% [3289]
% difference(i(A),quotient(j(quotient(i(B),eta(A))),i(A))) ->
% quotient(quotient(eta(A),quotient(i(B),A)),i(A)) collapsed.
% Rule
% [3290]
% difference(i(i(A)),quotient(quotient(eta(A),B),i(i(A)))) ->
% quotient(quotient(eta(A),quotient(B,i(A))),i(i(A))) collapsed.
% Rule
% [3292]
% difference(i(A),quotient(t(quotient(eta(A),B),B),i(A))) ->
% quotient(quotient(eta(A),quotient(quotient(eta(A),B),A)),i(A)) collapsed.
% Rule
% [3293]
% difference(i(A),quotient(i(i(i(i(i(i(A)))))),i(A))) ->
% quotient(quotient(eta(A),quotient(i(i(i(i(i(A))))),A)),i(A)) collapsed.
% Current number of equations to process: 1380
% Current number of ordered equations: 0
% Current number of rules: 1327
% New rule produced :
% [3295]
% quotient(quotient(eta(A),quotient(quotient(eta(A),quotient(j(eta(A)),
% i(i(i(i(i(i(i(i(A)))))))))),A)),
% i(A)) -> quotient(quotient(eta(A),quotient(i(i(i(i(i(i(A)))))),A)),i(A))
% Current number of equations to process: 1379
% Current number of ordered equations: 0
% Current number of rules: 1328
% New rule produced :
% [3296]
% difference(i(A),t(eta(A),quotient(eta(A),i(quotient(B,j(j(j(A)))))))) ->
% quotient(quotient(eta(A),quotient(i(t(eta(A),B)),A)),i(A))
% Current number of equations to process: 1378
% Current number of ordered equations: 0
% Current number of rules: 1329
% New rule produced :
% [3297]
% difference(i(A),t(eta(A),quotient(quotient(eta(A),j(B)),j(j(j(A)))))) ->
% quotient(quotient(eta(A),quotient(j(t(eta(A),B)),A)),i(A))
% Current number of equations to process: 1377
% Current number of ordered equations: 0
% Current number of rules: 1330
% New rule produced :
% [3298] quotient(quotient(eta(A),quotient(B,j(j(A)))),j(B)) -> j(j(A))
% Current number of equations to process: 1385
% Current number of ordered equations: 0
% Current number of rules: 1331
% New rule produced :
% [3299] quotient(quotient(eta(A),quotient(i(B),j(j(j(A))))),B) -> j(j(j(A)))
% Current number of equations to process: 1386
% Current number of ordered equations: 0
% Current number of rules: 1332
% New rule produced :
% [3300]
% quotient(quotient(eta(A),quotient(j(eta(B)),j(j(A)))),eta(B)) -> j(j(A))
% Current number of equations to process: 1385
% Current number of ordered equations: 0
% Current number of rules: 1333
% New rule produced :
% [3301]
% quotient(quotient(eta(A),quotient(i(B),j(j(A)))),j(j(A))) -> t(j(j(A)),B)
% Rule
% [1557]
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(C),B))),
% j(j(A)))),j(j(A))) ->
% t(j(j(A)),quotient(eta(B),quotient(i(C),B))) collapsed.
% Rule
% [1779]
% quotient(quotient(eta(quotient(eta(A),i(B))),quotient(i(C),j(j(quotient(
% eta(A),
% i(B)))))),
% j(j(quotient(eta(A),i(B))))) -> t(j(j(quotient(eta(A),i(B)))),C) collapsed.
% Current number of equations to process: 1384
% Current number of ordered equations: 0
% Current number of rules: 1332
% New rule produced :
% [3302] quotient(A,quotient(eta(B),A)) <-> quotient(quotient(A,j(A)),eta(B))
% Current number of equations to process: 1396
% Current number of ordered equations: 1
% Current number of rules: 1333
% New rule produced :
% [3303] quotient(quotient(A,j(A)),eta(B)) <-> quotient(A,quotient(eta(B),A))
% Rule
% [2640]
% t(eta(A),eta(quotient(quotient(quotient(A,j(A)),eta(A)),A))) ->
% eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)) collapsed.
% Rule
% [2860]
% t(eta(A),t(quotient(quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,
% j(A)),
% eta(A)),A)))),eta(A)),
% eta(A))) -> eta(A) collapsed.
% Rule
% [2877]
% t(eta(A),t(eta(A),quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)))))) ->
% t(eta(A),quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,j(A)),eta(A)),A)))))
% collapsed.
% Rule
% [2887]
% t(eta(A),t(t(eta(A),quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,
% j(A)),
% eta(A)),A))))),B)) ->
% t(eta(A),t(quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)))),B)) collapsed.
% Rule
% [2888]
% t(eta(A),t(B,t(eta(A),quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,
% j(A)),
% eta(A)),A))))))) ->
% t(eta(A),t(B,quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)))))) collapsed.
% Rule
% [2889]
% t(eta(A),quotient(t(eta(A),quotient(j(eta(A)),j(eta(quotient(quotient(
% quotient(A,
% j(A)),eta(A)),A))))),B))
% ->
% t(eta(A),quotient(quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)))),B))
% collapsed.
% Rule
% [2890]
% t(eta(A),quotient(B,t(eta(A),quotient(j(eta(A)),j(eta(quotient(quotient(
% quotient(A,
% j(A)),
% eta(A)),A)))))))
% ->
% t(eta(A),quotient(B,quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,
% j(A)),
% eta(A)),A))))))
% collapsed.
% Rule
% [2891]
% t(eta(A),t(eta(A),quotient(j(eta(A)),j(eta(quotient(quotient(quotient(
% j(A),j(j(A))),
% eta(A)),j(A))))))) ->
% t(eta(A),quotient(j(eta(A)),j(eta(quotient(quotient(quotient(j(A),j(j(A))),
% eta(A)),j(A)))))) collapsed.
% Rule
% [2892]
% t(eta(A),t(eta(A),quotient(eta(A),quotient(j(eta(A)),j(eta(quotient(quotient(
% quotient(A,
% j(A)),
% eta(A)),A)))))))
% ->
% t(eta(A),quotient(eta(A),quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,
% j(A)),
% eta(A)),A))))))
% collapsed.
% Rule
% [2893]
% t(eta(A),t(eta(A),quotient(quotient(j(eta(A)),j(eta(quotient(quotient(
% quotient(A,
% j(A)),eta(A)),A)))),
% eta(A)))) ->
% t(eta(A),quotient(quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)))),eta(A)))
% collapsed.
% Rule
% [2896]
% t(eta(A),t(eta(A),t(quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,
% j(A)),
% eta(A)),A)))),j(
% eta(
% quotient(
% quotient(
% quotient(A,
% j(A)),
% eta(A)),A))))))
% ->
% t(eta(A),t(quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,j(A)),
% eta(A)),A)))),j(eta(quotient(
% quotient(
% quotient(A,
% j(A)),
% eta(A)),A)))))
% collapsed.
% Rule
% [2898]
% t(eta(A),difference(j(t(eta(A),quotient(j(eta(A)),j(eta(quotient(quotient(
% quotient(A,
% j(A)),
% eta(A)),A)))))),B))
% ->
% t(eta(A),difference(j(quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,
% j(A)),
% eta(A)),A))))),B))
% collapsed.
% Rule
% [2899]
% t(eta(A),quotient(B,j(t(eta(A),quotient(j(eta(A)),j(eta(quotient(quotient(
% quotient(A,
% j(A)),
% eta(A)),A))))))))
% ->
% t(eta(A),quotient(B,j(quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,
% j(A)),
% eta(A)),A)))))))
% collapsed.
% Rule
% [2900]
% t(eta(A),quotient(j(t(eta(A),quotient(j(eta(A)),j(eta(quotient(quotient(
% quotient(A,
% j(A)),
% eta(A)),A)))))),B))
% ->
% t(eta(A),quotient(j(quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,
% j(A)),
% eta(A)),A))))),B))
% collapsed.
% Rule
% [2901]
% t(eta(A),difference(i(t(eta(A),quotient(j(eta(A)),j(eta(quotient(quotient(
% quotient(A,
% j(A)),
% eta(A)),A)))))),B))
% ->
% t(eta(A),difference(i(quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,
% j(A)),
% eta(A)),A))))),B))
% collapsed.
% Rule
% [2902]
% t(eta(A),quotient(B,i(t(eta(A),quotient(j(eta(A)),j(eta(quotient(quotient(
% quotient(A,
% j(A)),
% eta(A)),A))))))))
% ->
% t(eta(A),quotient(B,i(quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,
% j(A)),
% eta(A)),A)))))))
% collapsed.
% Rule
% [2903]
% t(eta(A),quotient(i(t(eta(A),quotient(j(eta(A)),j(eta(quotient(quotient(
% quotient(A,
% j(A)),
% eta(A)),A)))))),B))
% ->
% t(eta(A),quotient(i(quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,
% j(A)),
% eta(A)),A))))),B))
% collapsed.
% Rule
% [2904]
% t(eta(A),t(eta(A),quotient(j(quotient(j(eta(A)),j(eta(quotient(quotient(
% quotient(A,
% j(A)),
% eta(A)),A))))),
% eta(A)))) ->
% t(eta(A),quotient(j(quotient(j(eta(A)),j(eta(quotient(quotient(quotient(A,
% j(A)),
% eta(A)),A))))),
% eta(A))) collapsed.
% Current number of equations to process: 1396
% Current number of ordered equations: 0
% Current number of rules: 1316
% New rule produced :
% [3304]
% quotient(quotient(A,j(j(B))),quotient(A,quotient(eta(B),quotient(i(A),
% j(j(B)))))) -> A
% Current number of equations to process: 1395
% Current number of ordered equations: 0
% Current number of rules: 1317
% New rule produced :
% [3305]
% quotient(quotient(eta(A),quotient(i(B),j(j(A)))),t(j(j(A)),B)) ->
% t(t(j(j(A)),B),j(j(A)))
% Current number of equations to process: 1394
% Current number of ordered equations: 0
% Current number of rules: 1318
% New rule produced :
% [3306]
% quotient(quotient(eta(A),quotient(j(t(eta(B),eta(C))),j(j(A)))),t(eta(B),
% eta(C))) ->
% j(j(A))
% Current number of equations to process: 1393
% Current number of ordered equations: 0
% Current number of rules: 1319
% Rule [2788]
% quotient(difference(A,j(B)),B) ->
% quotient(quotient(eta(B),quotient(i(A),B)),quotient(eta(quotient(
% quotient(
% eta(quotient(
% i(B),
% quotient(
% eta(
% quotient(B,
% j(B))),
% quotient(
% i(i(B)),
% i(quotient(B,
% j(B))))))),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(i(B)),A))),
% quotient(
% i(B),quotient(
% eta(
% quotient(B,
% j(B))),
% quotient(
% i(i(B)),
% i(quotient(B,
% j(B)))))))),
% i(B))),quotient(
% i(
% quotient(
% eta(B),
% quotient(
% i(A),B))),
% quotient(
% quotient(
% eta(
% quotient(
% i(B),
% quotient(
% eta(
% quotient(B,
% j(B))),
% quotient(
% i(
% i(B)),
% i(
% quotient(B,
% j(B))))))),
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% i(
% i(B)),A))),
% quotient(
% i(B),
% quotient(
% eta(
% quotient(B,
% j(B))),
% quotient(
% i(
% i(B)),
% i(
% quotient(B,
% j(B)))))))),
% i(B))))) is composed into
% [2788]
% quotient(difference(A,j(B)),B) ->
% quotient(quotient(eta(B),quotient(i(A),B)),quotient(eta(quotient(quotient(
% eta(
% t(i(B),
% j(t(B,
% i(
% quotient(B,
% j(B))))))),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(
% i(B)),A))),
% t(i(B),
% j(t(B,
% i(
% quotient(B,
% j(B)))))))),
% i(B))),quotient(
% i(quotient(
% eta(B),
% quotient(
% i(A),B))),
% quotient(
% quotient(
% eta(t(
% i(B),
% j(
% t(B,
% i(
% quotient(B,
% j(B))))))),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(i(B)),A))),
% t(i(B),
% j(t(B,
% i(quotient(B,
% j(B)))))))),
% i(B)))))
% Rule [2487]
% quotient(quotient(i(quotient(A,j(A))),quotient(eta(difference(A,
% i(quotient(A,j(A))))),
% quotient(i(i(quotient(A,j(A)))),
% difference(A,i(quotient(A,j(A))))))),A)
% ->
% quotient(i(A),quotient(eta(quotient(A,j(A))),quotient(i(i(A)),i(
% quotient(A,
% j(A)))))) is composed into
% [2487]
% quotient(quotient(i(quotient(A,j(A))),quotient(eta(difference(A,i(quotient(A,
% j(A))))),
% quotient(i(i(quotient(A,j(A)))),
% difference(A,i(quotient(A,j(A))))))),A)
% -> t(i(A),j(t(A,i(quotient(A,j(A))))))
% Rule [2295]
% quotient(difference(j(eta(B)),A),quotient(eta(difference(j(eta(B)),
% difference(j(eta(B)),A))),
% quotient(i(difference(j(eta(B)),A)),
% difference(j(eta(B)),difference(
% j(eta(B)),A)))))
% ->
% quotient(quotient(eta(eta(B)),quotient(i(A),eta(B))),quotient(eta(
% quotient(
% quotient(
% eta(
% quotient(
% i(
% eta(B)),
% quotient(
% eta(
% quotient(
% eta(B),
% j(
% eta(B)))),
% quotient(
% i(
% i(
% eta(B))),
% i(
% quotient(
% eta(B),
% j(
% eta(B)))))))),
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% i(
% i(
% eta(B))),A))),
% quotient(
% i(
% eta(B)),
% quotient(
% eta(
% quotient(
% eta(B),
% j(
% eta(B)))),
% quotient(
% i(
% i(
% eta(B))),
% i(
% quotient(
% eta(B),
% j(
% eta(B))))))))),
% i(
% eta(B)))),
% quotient(i(
% quotient(
% eta(
% eta(B)),
% quotient(
% i(A),
% eta(B)))),
% quotient(quotient(
% eta(
% quotient(
% i(
% eta(B)),
% quotient(
% eta(
% quotient(
% eta(B),
% j(
% eta(B)))),
% quotient(
% i(
% i(
% eta(B))),
% i(
% quotient(
% eta(B),
% j(
% eta(B)))))))),
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% i(
% i(
% eta(B))),A))),
% quotient(
% i(
% eta(B)),
% quotient(
% eta(
% quotient(
% eta(B),
% j(
% eta(B)))),
% quotient(
% i(
% i(
% eta(B))),
% i(
% quotient(
% eta(B),
% j(
% eta(B))))))))),
% i(eta(B)))))) is composed into
% [2295]
% quotient(difference(j(eta(B)),A),quotient(eta(difference(j(eta(B)),difference(
% j(
% eta(B)),A))),
% quotient(i(difference(j(eta(B)),A)),
% difference(j(eta(B)),difference(j(eta(B)),A)))))
% ->
% quotient(quotient(eta(eta(B)),quotient(i(A),eta(B))),quotient(eta(quotient(
% quotient(
% eta(
% t(i(eta(B)),
% j(t(
% eta(B),
% i(
% quotient(
% eta(B),
% j(
% eta(B)))))))),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(
% i(
% eta(B))),A))),
% t(i(eta(B)),
% j(t(
% eta(B),
% i(
% quotient(
% eta(B),
% j(
% eta(B))))))))),
% i(eta(B)))),
% quotient(i(quotient(
% eta(eta(B)),
% quotient(
% i(A),
% eta(B)))),
% quotient(quotient(
% eta(t(i(eta(B)),
% j(t(
% eta(B),
% i(
% quotient(
% eta(B),
% j(
% eta(B)))))))),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(i(eta(B))),A))),
% t(i(eta(B)),
% j(t(eta(B),
% i(quotient(
% eta(B),
% j(eta(B))))))))),
% i(eta(B))))))
% Rule [2289]
% quotient(difference(i(A),quotient(quotient(i(A),quotient(eta(quotient(
% eta(
% quotient(A,
% j(A))),
% quotient(
% i(i(A)),
% i(quotient(A,
% j(A)))))),
% quotient(i(i(A)),
% quotient(eta(quotient(A,
% j(A))),
% quotient(i(i(A)),
% i(quotient(A,j(A)))))))),A)),A)
% ->
% quotient(i(A),quotient(eta(quotient(A,j(A))),quotient(i(i(A)),i(
% quotient(A,
% j(A)))))) is composed into
% [2289]
% quotient(difference(i(A),quotient(quotient(i(A),quotient(eta(quotient(
% eta(quotient(A,
% j(A))),
% quotient(
% i(i(A)),
% i(quotient(A,
% j(A)))))),
% quotient(i(i(A)),quotient(
% eta(
% quotient(A,
% j(A))),
% quotient(
% i(i(A)),
% i(quotient(A,
% j(A)))))))),A)),A)
% -> t(i(A),j(t(A,i(quotient(A,j(A))))))
% New rule produced :
% [3307]
% quotient(i(A),quotient(eta(quotient(A,j(A))),quotient(i(i(A)),i(quotient(A,
% j(A)))))) ->
% t(i(A),j(t(A,i(quotient(A,j(A))))))
% Rule
% [2204]
% quotient(quotient(i(A),quotient(eta(quotient(A,j(A))),quotient(i(i(A)),
% i(quotient(A,j(A)))))),A)
% -> A collapsed.
% Rule
% [2206]
% difference(A,quotient(i(A),quotient(eta(quotient(A,j(A))),quotient(i(i(A)),
% i(quotient(A,j(A)))))))
% -> A collapsed.
% Current number of equations to process: 1394
% Current number of ordered equations: 0
% Current number of rules: 1318
% New rule produced :
% [3308] quotient(t(i(A),j(t(A,i(quotient(A,j(A)))))),A) -> A
% Rule
% [3103]
% quotient(quotient(t(i(A),j(t(A,i(quotient(A,j(A)))))),A),i(A)) ->
% j(t(A,i(quotient(A,j(A))))) collapsed.
% Current number of equations to process: 1393
% Current number of ordered equations: 0
% Current number of rules: 1318
% New rule produced :
% [3309] difference(A,t(i(A),j(t(A,i(quotient(A,j(A))))))) -> A
% Current number of equations to process: 1392
% Current number of ordered equations: 0
% Current number of rules: 1319
% New rule produced :
% [3310]
% difference(j(t(eta(A),eta(B))),quotient(j(C),j(t(eta(A),eta(B))))) ->
% quotient(j(quotient(C,t(eta(A),eta(B)))),j(t(eta(A),eta(B))))
% Current number of equations to process: 1391
% Current number of ordered equations: 0
% Current number of rules: 1320
% New rule produced :
% [3311]
% t(eta(B),quotient(quotient(j(quotient(eta(A),quotient(j(eta(B)),i(A)))),C),V_3))
% -> quotient(quotient(quotient(A,eta(B)),t(eta(B),C)),t(eta(B),V_3))
% Current number of equations to process: 1389
% Current number of ordered equations: 0
% Current number of rules: 1321
% New rule produced :
% [3312]
% t(eta(B),quotient(difference(j(quotient(eta(A),quotient(j(eta(B)),i(A)))),C),V_3))
% -> quotient(difference(quotient(A,eta(B)),t(eta(B),C)),t(eta(B),V_3))
% Current number of equations to process: 1388
% Current number of ordered equations: 0
% Current number of rules: 1322
% New rule produced :
% [3313]
% t(eta(B),t(quotient(j(quotient(eta(A),quotient(j(eta(B)),i(A)))),C),V_3)) ->
% t(quotient(quotient(A,eta(B)),t(eta(B),C)),t(eta(B),V_3))
% Current number of equations to process: 1387
% Current number of ordered equations: 0
% Current number of rules: 1323
% New rule produced :
% [3314]
% t(eta(B),t(difference(j(quotient(eta(A),quotient(j(eta(B)),i(A)))),C),V_3))
% -> t(difference(quotient(A,eta(B)),t(eta(B),C)),t(eta(B),V_3))
% Current number of equations to process: 1386
% Current number of ordered equations: 0
% Current number of rules: 1324
% New rule produced :
% [3315]
% quotient(quotient(quotient(quotient(quotient(eta(A),quotient(i(quotient(
% eta(quotient(
% eta(
% t(
% eta(
% quotient(A,
% j(A))),
% quotient(A,
% j(
% eta(
% quotient(A,
% j(A))))))),
% quotient(
% i(A),
% t(
% eta(
% quotient(A,
% j(A))),
% quotient(A,
% j(
% eta(
% quotient(A,
% j(A))))))))),
% quotient(
% i(i(A)),
% quotient(
% eta(t(
% eta(
% quotient(A,
% j(A))),
% quotient(A,
% j(
% eta(
% quotient(A,
% j(A))))))),
% quotient(
% i(A),t(
% eta(
% quotient(A,
% j(A))),
% quotient(A,
% j(
% eta(
% quotient(A,
% j(A))))))))))),A)),
% i(A)),A),j(A)),j(j(A))) ->
% j(t(A,i(quotient(A,j(A)))))
% Current number of equations to process: 1385
% Current number of ordered equations: 0
% Current number of rules: 1325
% New rule produced :
% [3316]
% t(quotient(eta(A),j(t(A,i(quotient(A,j(A)))))),j(t(A,i(quotient(A,j(A))))))
% -> j(t(A,i(quotient(A,j(A)))))
% Current number of equations to process: 1384
% Current number of ordered equations: 0
% Current number of rules: 1326
% New rule produced :
% [3317]
% difference(t(i(A),quotient(i(A),quotient(eta(B),j(eta(A))))),quotient(
% i(A),quotient(
% eta(B),
% i(i(i(A))))))
% -> i(A)
% Current number of equations to process: 1383
% Current number of ordered equations: 0
% Current number of rules: 1327
% New rule produced :
% [3318]
% quotient(j(eta(A)),i(i(i(A)))) ->
% t(eta(A),t(j(A),quotient(j(A),quotient(eta(A),j(t(A,i(quotient(A,j(A)))))))))
% Rule
% [2309]
% t(quotient(eta(A),quotient(j(eta(A)),i(i(i(A))))),quotient(j(eta(A)),
% i(i(i(A))))) -> i(i(A))
% collapsed.
% Rule
% [2463]
% quotient(quotient(i(i(i(A))),quotient(j(eta(A)),i(i(i(A))))),i(A)) ->
% i(i(i(A))) collapsed.
% Rule [2521] quotient(j(j(A)),quotient(j(eta(A)),i(i(i(A))))) -> j(eta(A))
% collapsed.
% Rule [3199] quotient(quotient(j(eta(A)),i(i(i(A)))),i(i(A))) -> j(eta(A))
% collapsed.
% Current number of equations to process: 1385
% Current number of ordered equations: 0
% Current number of rules: 1324
% New rule produced :
% [3319]
% quotient(quotient(t(eta(A),B),quotient(i(A),t(eta(A),B))),t(eta(A),quotient(B,
% j(
% j(j(A))))))
% -> t(eta(A),B)
% Current number of equations to process: 1384
% Current number of ordered equations: 0
% Current number of rules: 1325
% New rule produced :
% [3320]
% difference(t(i(A),quotient(i(A),t(eta(A),B))),quotient(i(A),t(eta(A),
% quotient(B,
% j(j(j(A))))))) ->
% i(A)
% Current number of equations to process: 1383
% Current number of ordered equations: 0
% Current number of rules: 1326
% New rule produced :
% [3321]
% t(B,quotient(B,quotient(eta(quotient(i(B),j(eta(A)))),quotient(i(B),j(
% quotient(
% i(B),
% j(
% eta(A))))))))
% -> quotient(eta(A),B)
% Current number of equations to process: 1382
% Current number of ordered equations: 0
% Current number of rules: 1327
% New rule produced :
% [3322]
% quotient(quotient(eta(A),quotient(quotient(eta(t(t(quotient(eta(A),B),B),
% quotient(eta(A),B))),quotient(
% j(
% eta(A)),
% i(
% t(
% t(
% quotient(
% eta(A),B),B),
% quotient(
% eta(A),B))))),A)),
% i(A)) -> quotient(quotient(eta(A),quotient(t(quotient(eta(A),B),B),A)),i(A))
% Current number of equations to process: 1381
% Current number of ordered equations: 0
% Current number of rules: 1328
% Rule [2600]
% quotient(t(j(eta(A)),t(quotient(j(eta(A)),B),B)),eta(A)) ->
% quotient(j(eta(A)),t(j(eta(A)),quotient(j(eta(A)),quotient(eta(B),
% quotient(eta(A),B))))) is composed into
% [2600]
% quotient(t(j(eta(A)),t(quotient(j(eta(A)),B),B)),eta(A)) ->
% quotient(j(eta(A)),t(j(eta(A)),quotient(j(eta(A)),quotient(B,eta(A)))))
% New rule produced :
% [3323] quotient(eta(A),quotient(eta(B),A)) -> quotient(A,eta(B))
% Rule
% [2308]
% t(eta(A),quotient(j(eta(A)),quotient(eta(B),quotient(eta(A),B)))) ->
% t(eta(A),quotient(j(eta(A)),quotient(B,eta(A)))) collapsed.
% Current number of equations to process: 1392
% Current number of ordered equations: 0
% Current number of rules: 1328
% New rule produced :
% [3324] quotient(eta(B),quotient(i(quotient(i(B),eta(A))),B)) -> j(eta(A))
% Current number of equations to process: 1398
% Current number of ordered equations: 0
% Current number of rules: 1329
% New rule produced :
% [3325]
% quotient(eta(A),quotient(i(quotient(A,eta(B))),i(A))) ->
% quotient(eta(A),eta(B))
% Current number of equations to process: 1399
% Current number of ordered equations: 0
% Current number of rules: 1330
% New rule produced :
% [3326]
% j(quotient(i(quotient(A,eta(C))),eta(B))) <->
% quotient(j(quotient(i(A),eta(B))),eta(C))
% Current number of equations to process: 1400
% Current number of ordered equations: 1
% Current number of rules: 1331
% New rule produced :
% [3327]
% quotient(j(quotient(i(A),eta(B))),eta(C)) <->
% j(quotient(i(quotient(A,eta(C))),eta(B)))
% Rule [3182] quotient(j(quotient(i(A),eta(B))),eta(B)) -> t(eta(B),A)
% collapsed.
% Current number of equations to process: 1400
% Current number of ordered equations: 0
% Current number of rules: 1331
% New rule produced :
% [3328]
% quotient(eta(A),quotient(i(quotient(eta(B),eta(C))),A)) <->
% quotient(quotient(A,j(eta(B))),eta(C))
% Current number of equations to process: 1403
% Current number of ordered equations: 1
% Current number of rules: 1332
% New rule produced :
% [3329]
% quotient(quotient(A,j(eta(B))),eta(C)) <->
% quotient(eta(A),quotient(i(quotient(eta(B),eta(C))),A))
% Current number of equations to process: 1403
% Current number of ordered equations: 0
% Current number of rules: 1333
% New rule produced :
% [3330]
% quotient(eta(A),quotient(i(quotient(j(B),eta(C))),A)) <->
% quotient(quotient(eta(A),quotient(B,A)),eta(C))
% Current number of equations to process: 1402
% Current number of ordered equations: 1
% Current number of rules: 1334
% New rule produced :
% [3331]
% quotient(quotient(eta(A),quotient(B,A)),eta(C)) <->
% quotient(eta(A),quotient(i(quotient(j(B),eta(C))),A))
% Current number of equations to process: 1402
% Current number of ordered equations: 0
% Current number of rules: 1335
% New rule produced :
% [3332]
% quotient(quotient(eta(A),quotient(i(B),i(A))),eta(C)) <->
% quotient(eta(A),quotient(i(quotient(B,eta(C))),i(A)))
% Rule
% [1677]
% quotient(quotient(eta(B),quotient(quotient(quotient(eta(quotient(eta(B),
% quotient(i(A),B))),
% quotient(i(B),i(quotient(eta(B),
% quotient(i(A),B))))),
% eta(B)),B)),A) -> B collapsed.
% Rule
% [1843]
% quotient(eta(A),quotient(quotient(quotient(eta(quotient(quotient(eta(B),
% quotient(i(C),B)),
% eta(A))),quotient(i(A),
% i(quotient(quotient(
% eta(B),
% quotient(
% i(C),B)),
% eta(A))))),
% eta(A)),A)) ->
% quotient(quotient(eta(B),quotient(i(C),B)),eta(A)) collapsed.
% Rule
% [2879]
% t(eta(B),quotient(j(eta(B)),j(eta(quotient(quotient(quotient(eta(A),quotient(
% i(B),
% i(A))),
% eta(B)),B))))) ->
% t(eta(B),quotient(j(eta(B)),j(eta(quotient(A,j(eta(B))))))) collapsed.
% Current number of equations to process: 1404
% Current number of ordered equations: 1
% Current number of rules: 1333
% New rule produced :
% [3333]
% quotient(eta(A),quotient(i(quotient(B,eta(C))),i(A))) <->
% quotient(quotient(eta(A),quotient(i(B),i(A))),eta(C))
% Current number of equations to process: 1404
% Current number of ordered equations: 0
% Current number of rules: 1334
% New rule produced :
% [3334]
% quotient(quotient(eta(A),quotient(i(B),j(A))),eta(C)) <->
% quotient(eta(A),quotient(i(quotient(B,eta(C))),j(A)))
% Rule
% [2880]
% t(eta(B),quotient(j(eta(B)),j(eta(quotient(quotient(quotient(eta(A),quotient(
% i(B),
% j(A))),
% eta(B)),B))))) ->
% t(eta(B),quotient(j(eta(B)),j(eta(quotient(A,j(eta(B))))))) collapsed.
% Current number of equations to process: 1404
% Current number of ordered equations: 1
% Current number of rules: 1334
% New rule produced :
% [3335]
% quotient(eta(A),quotient(i(quotient(B,eta(C))),j(A))) <->
% quotient(quotient(eta(A),quotient(i(B),j(A))),eta(C))
% Current number of equations to process: 1404
% Current number of ordered equations: 0
% Current number of rules: 1335
% New rule produced :
% [3336]
% quotient(eta(A),quotient(i(quotient(B,eta(A))),A)) ->
% j(t(eta(A),quotient(i(B),A)))
% Current number of equations to process: 1414
% Current number of ordered equations: 0
% Current number of rules: 1336
% New rule produced :
% [3337]
% quotient(eta(quotient(A,C)),quotient(i(quotient(C,eta(B))),quotient(A,C))) ->
% quotient(A,eta(B))
% Current number of equations to process: 1416
% Current number of ordered equations: 0
% Current number of rules: 1337
% New rule produced :
% [3338]
% quotient(eta(A),quotient(i(quotient(t(eta(B),eta(C)),eta(V_3))),A)) <->
% quotient(quotient(eta(A),quotient(j(t(eta(B),eta(C))),A)),eta(V_3))
% Current number of equations to process: 1415
% Current number of ordered equations: 1
% Current number of rules: 1338
% New rule produced :
% [3339]
% quotient(quotient(eta(A),quotient(j(t(eta(B),eta(C))),A)),eta(V_3)) <->
% quotient(eta(A),quotient(i(quotient(t(eta(B),eta(C)),eta(V_3))),A))
% Current number of equations to process: 1415
% Current number of ordered equations: 0
% Current number of rules: 1339
% New rule produced :
% [3340]
% quotient(t(eta(A),quotient(eta(B),quotient(i(C),B))),quotient(eta(B),
% quotient(i(quotient(C,
% eta(A))),B)))
% -> eta(A)
% Current number of equations to process: 1414
% Current number of ordered equations: 0
% Current number of rules: 1340
% New rule produced :
% [3341]
% quotient(eta(difference(A,i(B))),quotient(i(quotient(B,eta(C))),difference(A,
% i(B)))) <->
% quotient(t(A,quotient(i(A),j(eta(difference(A,i(B)))))),eta(C))
% Current number of equations to process: 1413
% Current number of ordered equations: 1
% Current number of rules: 1341
% New rule produced :
% [3342]
% quotient(t(A,quotient(i(A),j(eta(difference(A,i(B)))))),eta(C)) <->
% quotient(eta(difference(A,i(B))),quotient(i(quotient(B,eta(C))),difference(A,
% i(B))))
% Current number of equations to process: 1413
% Current number of ordered equations: 0
% Current number of rules: 1342
% New rule produced :
% [3343]
% quotient(eta(quotient(i(A),B)),quotient(i(quotient(A,eta(C))),quotient(
% i(A),B))) <->
% quotient(quotient(eta(quotient(i(A),B)),t(quotient(i(A),B),B)),eta(C))
% Current number of equations to process: 1412
% Current number of ordered equations: 1
% Current number of rules: 1343
% New rule produced :
% [3344]
% quotient(quotient(eta(quotient(i(A),B)),t(quotient(i(A),B),B)),eta(C)) <->
% quotient(eta(quotient(i(A),B)),quotient(i(quotient(A,eta(C))),quotient(
% i(A),B)))
% Current number of equations to process: 1412
% Current number of ordered equations: 0
% Current number of rules: 1344
% New rule produced :
% [3345]
% quotient(quotient(eta(A),quotient(i(quotient(B,eta(C))),A)),quotient(
% eta(A),quotient(
% i(B),A)))
% -> t(quotient(eta(A),quotient(i(B),A)),j(eta(C)))
% Current number of equations to process: 1411
% Current number of ordered equations: 0
% Current number of rules: 1345
% New rule produced :
% [3346]
% quotient(quotient(eta(A),quotient(B,A)),eta(B)) ->
% quotient(eta(A),quotient(i(i(B)),A))
% Rule
% [2875]
% t(eta(B),quotient(j(eta(B)),j(eta(quotient(quotient(quotient(eta(A),quotient(B,A)),
% eta(B)),j(B)))))) ->
% t(eta(B),quotient(j(eta(B)),j(eta(quotient(A,j(eta(B))))))) collapsed.
% Current number of equations to process: 1421
% Current number of ordered equations: 0
% Current number of rules: 1345
% New rule produced :
% [3347]
% quotient(quotient(eta(A),quotient(j(j(B)),A)),eta(B)) ->
% quotient(eta(A),quotient(B,A))
% Current number of equations to process: 1421
% Current number of ordered equations: 0
% Current number of rules: 1346
% New rule produced :
% [3348]
% quotient(eta(A),quotient(quotient(eta(B),j(eta(B))),A)) <->
% quotient(quotient(A,eta(B)),eta(B))
% Current number of equations to process: 1437
% Current number of ordered equations: 1
% Current number of rules: 1347
% New rule produced :
% [3349]
% quotient(quotient(A,eta(B)),eta(B)) <->
% quotient(eta(A),quotient(quotient(eta(B),j(eta(B))),A))
% Rule
% [1837]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% quotient(
% i(B),A),
% eta(A)),
% eta(A)))) ->
% quotient(eta(quotient(quotient(eta(A),j(eta(A))),quotient(eta(difference(
% i(i(i(i(A)))),
% quotient(
% eta(A),
% j(eta(A))))),
% quotient(i(quotient(
% eta(A),j(eta(A)))),
% difference(i(i(i(i(A)))),
% quotient(eta(A),j(eta(A)))))))),
% quotient(i(B),quotient(quotient(eta(A),j(eta(A))),quotient(eta(difference(
% i(i(i(i(A)))),
% quotient(
% eta(A),
% j(eta(A))))),
% quotient(i(quotient(
% eta(A),j(eta(A)))),
% difference(i(i(i(i(A)))),
% quotient(eta(A),j(eta(A)))))))))
% collapsed.
% Rule
% [1860]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% quotient(
% i(B),i(A)),
% eta(A)),
% eta(A)))) ->
% quotient(eta(quotient(quotient(eta(A),j(eta(A))),quotient(eta(difference(
% i(i(i(i(i(A))))),
% quotient(
% eta(A),
% j(eta(A))))),
% quotient(i(quotient(
% eta(A),j(eta(A)))),
% difference(i(i(i(i(i(A))))),
% quotient(eta(A),j(eta(A)))))))),
% quotient(i(B),quotient(quotient(eta(A),j(eta(A))),quotient(eta(difference(
% i(i(i(i(i(A))))),
% quotient(
% eta(A),
% j(eta(A))))),
% quotient(i(quotient(
% eta(A),j(eta(A)))),
% difference(i(i(i(i(i(A))))),
% quotient(eta(A),j(eta(A)))))))))
% collapsed.
% Rule
% [1885]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% quotient(
% i(B),i(i(A))),
% eta(A)),
% eta(A)))) ->
% quotient(eta(quotient(quotient(eta(A),j(eta(A))),quotient(eta(difference(
% i(i(i(i(
% i(i(A)))))),
% quotient(
% eta(A),
% j(eta(A))))),
% quotient(i(quotient(
% eta(A),j(eta(A)))),
% difference(i(i(i(i(i(i(A)))))),
% quotient(eta(A),j(eta(A)))))))),
% quotient(i(B),quotient(quotient(eta(A),j(eta(A))),quotient(eta(difference(
% i(i(i(
% i(
% i(i(A)))))),
% quotient(
% eta(A),
% j(eta(A))))),
% quotient(i(quotient(
% eta(A),j(eta(A)))),
% difference(i(i(i(i(i(i(A)))))),
% quotient(eta(A),j(eta(A)))))))))
% collapsed.
% Rule
% [1914]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% quotient(
% i(B),i(
% i(
% i(i(A))))),
% eta(A)),
% eta(A)))) ->
% quotient(eta(quotient(quotient(eta(A),j(eta(A))),quotient(eta(difference(
% i(i(i(i(
% i(
% i(
% i(i(A)))))))),
% quotient(
% eta(A),
% j(eta(A))))),
% quotient(i(quotient(
% eta(A),j(eta(A)))),
% difference(i(i(i(i(i(
% i(
% i(i(A)))))))),
% quotient(eta(A),j(eta(A)))))))),
% quotient(i(B),quotient(quotient(eta(A),j(eta(A))),quotient(eta(difference(
% i(i(i(
% i(
% i(
% i(
% i(i(A)))))))),
% quotient(
% eta(A),
% j(eta(A))))),
% quotient(i(quotient(
% eta(A),j(eta(A)))),
% difference(i(i(i(i(
% i(
% i(
% i(i(A)))))))),
% quotient(eta(A),j(eta(A)))))))))
% collapsed.
% Rule
% [1943]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% quotient(
% i(B),i(
% i(i(A)))),
% eta(A)),
% eta(A)))) ->
% quotient(eta(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),i(
% i(
% i(
% i(
% i(i(A))))))))),
% quotient(i(B),difference(quotient(eta(A),j(eta(A))),quotient(eta(A),i(
% i(
% i(
% i(
% i(i(A))))))))))
% collapsed.
% Rule
% [1993]
% difference(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(quotient(
% quotient(
% i(B),i(
% i(
% i(
% i(i(A)))))),
% eta(A)),
% eta(A)))) ->
% quotient(eta(difference(quotient(eta(A),j(eta(A))),quotient(eta(A),i(
% i(
% i(
% i(
% i(
% i(
% i(i(A))))))))))),
% quotient(i(B),difference(quotient(eta(A),j(eta(A))),quotient(eta(A),i(
% i(
% i(
% i(
% i(
% i(
% i(i(A))))))))))))
% collapsed.
% Current number of equations to process: 1443
% Current number of ordered equations: 0
% Current number of rules: 1342
% New rule produced :
% [3350]
% quotient(quotient(quotient(eta(A),quotient(i(B),A)),eta(C)),quotient(B,
% eta(C))) -> A
% Current number of equations to process: 1444
% Current number of ordered equations: 0
% Current number of rules: 1343
% New rule produced :
% [3351]
% quotient(quotient(quotient(eta(A),quotient(i(B),A)),eta(C)),eta(A)) ->
% j(t(eta(A),quotient(i(quotient(B,eta(C))),A)))
% Current number of equations to process: 1446
% Current number of ordered equations: 0
% Current number of rules: 1344
% New rule produced :
% [3352]
% quotient(quotient(quotient(eta(A),quotient(i(B),A)),eta(C)),eta(V_3)) <->
% quotient(eta(A),quotient(i(quotient(quotient(B,eta(C)),eta(V_3))),A))
% Current number of equations to process: 1445
% Current number of ordered equations: 1
% Current number of rules: 1345
% New rule produced :
% [3353]
% quotient(eta(A),quotient(i(quotient(quotient(B,eta(C)),eta(V_3))),A)) <->
% quotient(quotient(quotient(eta(A),quotient(i(B),A)),eta(C)),eta(V_3))
% Current number of equations to process: 1445
% Current number of ordered equations: 0
% Current number of rules: 1346
% New rule produced :
% [3354]
% quotient(quotient(eta(A),quotient(t(eta(B),C),A)),eta(B)) ->
% quotient(eta(A),quotient(i(t(eta(B),quotient(j(C),eta(B)))),A))
% Current number of equations to process: 1444
% Current number of ordered equations: 0
% Current number of rules: 1347
% New rule produced :
% [3355]
% quotient(quotient(quotient(eta(A),quotient(i(B),A)),eta(C)),t(A,quotient(B,
% eta(C)))) ->
% t(t(A,quotient(B,eta(C))),A)
% Current number of equations to process: 1443
% Current number of ordered equations: 0
% Current number of rules: 1348
% New rule produced :
% [3356]
% difference(j(t(eta(A),quotient(i(quotient(B,eta(C))),A))),quotient(quotient(
% eta(A),
% quotient(
% i(B),A)),
% eta(C))) ->
% eta(A)
% Current number of equations to process: 1442
% Current number of ordered equations: 0
% Current number of rules: 1349
% New rule produced :
% [3357]
% quotient(quotient(eta(A),quotient(i(quotient(B,eta(C))),i(i(A)))),quotient(
% quotient(
% eta(A),
% quotient(
% i(B),A)),
% eta(C))) ->
% eta(A)
% Current number of equations to process: 1441
% Current number of ordered equations: 0
% Current number of rules: 1350
% New rule produced :
% [3358]
% quotient(quotient(quotient(A,eta(B)),C),quotient(quotient(A,eta(B)),quotient(
% quotient(
% eta(C),
% quotient(
% i(A),C)),
% eta(B))))
% -> quotient(A,eta(B))
% Current number of equations to process: 1440
% Current number of ordered equations: 0
% Current number of rules: 1351
% New rule produced :
% [3359]
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(C),B))),A)),
% eta(V_3)) <->
% quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(quotient(C,eta(V_3))),B))),A))
% Current number of equations to process: 1439
% Current number of ordered equations: 1
% Current number of rules: 1352
% New rule produced :
% [3360]
% quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(quotient(C,eta(V_3))),B))),A))
% <->
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(C),B))),A)),
% eta(V_3))
% Current number of equations to process: 1439
% Current number of ordered equations: 0
% Current number of rules: 1353
% New rule produced :
% [3361] quotient(j(t(eta(A),B)),i(i(A))) -> t(eta(A),quotient(j(B),j(j(A))))
% Current number of equations to process: 1453
% Current number of ordered equations: 0
% Current number of rules: 1354
% New rule produced :
% [3362]
% quotient(j(t(eta(A),B)),j(A)) -> t(eta(A),quotient(j(B),j(j(j(j(j(A)))))))
% Current number of equations to process: 1454
% Current number of ordered equations: 0
% Current number of rules: 1355
% New rule produced :
% [3363]
% quotient(j(t(eta(A),B)),i(quotient(eta(A),j(eta(A))))) ->
% t(eta(A),quotient(j(B),j(quotient(eta(A),j(eta(A))))))
% Current number of equations to process: 1473
% Current number of ordered equations: 0
% Current number of rules: 1356
% New rule produced :
% [3364]
% t(eta(A),quotient(j(A),j(quotient(eta(B),quotient(j(eta(A)),i(B)))))) <->
% quotient(i(i(i(A))),quotient(B,eta(A)))
% Current number of equations to process: 1472
% Current number of ordered equations: 1
% Current number of rules: 1357
% New rule produced :
% [3365]
% quotient(i(i(i(A))),quotient(B,eta(A))) <->
% t(eta(A),quotient(j(A),j(quotient(eta(B),quotient(j(eta(A)),i(B))))))
% Current number of equations to process: 1472
% Current number of ordered equations: 0
% Current number of rules: 1358
% New rule produced :
% [3366]
% t(eta(A),quotient(j(eta(A)),j(quotient(eta(B),quotient(j(eta(A)),i(B)))))) ->
% quotient(j(eta(A)),quotient(B,eta(A)))
% Current number of equations to process: 1471
% Current number of ordered equations: 0
% Current number of rules: 1359
% New rule produced :
% [3367]
% t(eta(A),quotient(j(j(B)),j(quotient(eta(C),quotient(j(eta(A)),i(C)))))) <->
% quotient(j(j(t(eta(A),B))),quotient(C,eta(A)))
% Current number of equations to process: 1470
% Current number of ordered equations: 1
% Current number of rules: 1360
% New rule produced :
% [3368]
% quotient(j(j(t(eta(A),B))),quotient(C,eta(A))) <->
% t(eta(A),quotient(j(j(B)),j(quotient(eta(C),quotient(j(eta(A)),i(C))))))
% Current number of equations to process: 1470
% Current number of ordered equations: 0
% Current number of rules: 1361
% New rule produced :
% [3369] quotient(i(t(eta(A),B)),i(i(A))) -> t(eta(A),quotient(i(B),j(j(A))))
% Current number of equations to process: 1483
% Current number of ordered equations: 0
% Current number of rules: 1362
% New rule produced :
% [3370]
% quotient(i(t(eta(A),B)),j(A)) -> t(eta(A),quotient(i(B),j(j(j(j(j(A)))))))
% Current number of equations to process: 1484
% Current number of ordered equations: 0
% Current number of rules: 1363
% New rule produced :
% [3371]
% quotient(i(t(eta(A),B)),i(quotient(eta(A),j(eta(A))))) ->
% t(eta(A),quotient(i(B),j(quotient(eta(A),j(eta(A))))))
% Current number of equations to process: 1506
% Current number of ordered equations: 0
% Current number of rules: 1364
% New rule produced :
% [3372]
% t(eta(A),quotient(i(A),j(quotient(eta(B),quotient(j(eta(A)),i(B)))))) <->
% quotient(i(i(i(i(i(A))))),quotient(B,eta(A)))
% Current number of equations to process: 1505
% Current number of ordered equations: 1
% Current number of rules: 1365
% New rule produced :
% [3373]
% quotient(i(i(i(i(i(A))))),quotient(B,eta(A))) <->
% t(eta(A),quotient(i(A),j(quotient(eta(B),quotient(j(eta(A)),i(B))))))
% Current number of equations to process: 1505
% Current number of ordered equations: 0
% Current number of rules: 1366
% New rule produced :
% [3374]
% quotient(i(i(t(eta(A),B))),quotient(C,eta(A))) <->
% t(eta(A),quotient(i(i(B)),j(quotient(eta(C),quotient(j(eta(A)),i(C))))))
% Current number of equations to process: 1504
% Current number of ordered equations: 1
% Current number of rules: 1367
% New rule produced :
% [3375]
% t(eta(A),quotient(i(i(B)),j(quotient(eta(C),quotient(j(eta(A)),i(C)))))) <->
% quotient(i(i(t(eta(A),B))),quotient(C,eta(A)))
% Current number of equations to process: 1504
% Current number of ordered equations: 0
% Current number of rules: 1368
% New rule produced :
% [3376]
% difference(j(t(eta(A),B)),i(quotient(eta(A),j(eta(A))))) ->
% t(eta(A),difference(j(B),j(quotient(eta(A),j(eta(A))))))
% Current number of equations to process: 1516
% Current number of ordered equations: 0
% Current number of rules: 1369
% New rule produced :
% [3377]
% difference(i(i(i(A))),quotient(B,eta(A))) ->
% t(eta(A),difference(j(A),j(quotient(eta(B),quotient(j(eta(A)),i(B))))))
% Current number of equations to process: 1515
% Current number of ordered equations: 0
% Current number of rules: 1370
% New rule produced :
% [3378]
% difference(j(j(t(eta(A),B))),quotient(C,eta(A))) ->
% t(eta(A),difference(j(j(B)),j(quotient(eta(C),quotient(j(eta(A)),i(C))))))
% Current number of equations to process: 1514
% Current number of ordered equations: 0
% Current number of rules: 1371
% New rule produced :
% [3379]
% difference(i(t(eta(A),B)),i(quotient(eta(A),j(eta(A))))) ->
% t(eta(A),difference(i(B),j(quotient(eta(A),j(eta(A))))))
% Current number of equations to process: 1527
% Current number of ordered equations: 0
% Current number of rules: 1372
% New rule produced :
% [3380]
% difference(i(i(i(i(i(A))))),quotient(B,eta(A))) ->
% t(eta(A),difference(i(A),j(quotient(eta(B),quotient(j(eta(A)),i(B))))))
% Current number of equations to process: 1526
% Current number of ordered equations: 0
% Current number of rules: 1373
% New rule produced :
% [3381]
% difference(i(i(t(eta(A),B))),quotient(C,eta(A))) ->
% t(eta(A),difference(i(i(B)),j(quotient(eta(C),quotient(j(eta(A)),i(C))))))
% Current number of equations to process: 1525
% Current number of ordered equations: 0
% Current number of rules: 1374
% New rule produced :
% [3382] quotient(j(quotient(j(A),eta(B))),eta(A)) -> j(quotient(i(A),eta(B)))
% Current number of equations to process: 1539
% Current number of ordered equations: 0
% Current number of rules: 1375
% New rule produced :
% [3383]
% quotient(quotient(eta(A),quotient(j(B),i(A))),eta(B)) ->
% quotient(eta(A),quotient(i(B),i(A)))
% Current number of equations to process: 1541
% Current number of ordered equations: 0
% Current number of rules: 1376
% New rule produced :
% [3384]
% quotient(quotient(eta(A),quotient(j(B),j(A))),eta(B)) ->
% quotient(eta(A),quotient(i(B),j(A)))
% Current number of equations to process: 1540
% Current number of ordered equations: 0
% Current number of rules: 1377
% New rule produced :
% [3385]
% quotient(t(eta(A),quotient(eta(B),quotient(j(A),B))),quotient(eta(B),
% quotient(i(A),B))) ->
% eta(A)
% Current number of equations to process: 1554
% Current number of ordered equations: 0
% Current number of rules: 1378
% New rule produced :
% [3386]
% quotient(quotient(eta(A),quotient(j(B),A)),quotient(eta(A),quotient(i(B),A)))
% -> t(quotient(eta(A),quotient(i(B),A)),eta(B))
% Current number of equations to process: 1553
% Current number of ordered equations: 0
% Current number of rules: 1379
% New rule produced :
% [3387]
% quotient(t(A,quotient(i(A),j(eta(difference(A,j(B)))))),eta(B)) ->
% quotient(eta(difference(A,j(B))),quotient(i(B),difference(A,j(B))))
% Current number of equations to process: 1552
% Current number of ordered equations: 0
% Current number of rules: 1380
% New rule produced :
% [3388]
% quotient(quotient(eta(quotient(j(A),B)),t(quotient(j(A),B),B)),eta(A)) ->
% quotient(eta(quotient(j(A),B)),quotient(i(A),quotient(j(A),B)))
% Current number of equations to process: 1551
% Current number of ordered equations: 0
% Current number of rules: 1381
% New rule produced :
% [3389]
% quotient(quotient(eta(A),quotient(eta(B),quotient(i(A),B))),quotient(
% eta(A),quotient(
% eta(B),
% quotient(
% j(A),B))))
% -> eta(A)
% Current number of equations to process: 1550
% Current number of ordered equations: 0
% Current number of rules: 1382
% New rule produced :
% [3390]
% quotient(quotient(eta(t(eta(A),B)),t(eta(A),quotient(j(C),B))),eta(t(
% eta(A),C)))
% -> t(eta(A),quotient(eta(B),quotient(i(C),B)))
% Current number of equations to process: 1549
% Current number of ordered equations: 0
% Current number of rules: 1383
% Rule [2494]
% quotient(quotient(A,quotient(quotient(quotient(eta(A),quotient(i(B),A)),
% quotient(eta(B),quotient(i(quotient(
% eta(A),quotient(
% i(B),A))),B))),A)),B)
% ->
% quotient(quotient(eta(A),quotient(i(quotient(eta(A),quotient(i(B),A))),A)),B) is composed into
% [2494]
% quotient(quotient(A,quotient(quotient(quotient(eta(A),quotient(i(B),A)),
% quotient(eta(B),quotient(i(quotient(eta(A),
% quotient(i(B),A))),B))),A)),B)
% -> quotient(quotient(eta(A),quotient(quotient(i(B),A),j(j(A)))),B)
% Rule [1770]
% quotient(quotient(eta(A),quotient(i(i(i(B))),j(j(A)))),B) ->
% quotient(eta(A),quotient(i(quotient(eta(A),j(eta(B)))),A)) is composed into
% [1770]
% quotient(quotient(eta(A),quotient(i(i(i(B))),j(j(A)))),B) ->
% quotient(eta(A),quotient(j(eta(B)),j(j(A))))
% New rule produced :
% [3391]
% quotient(eta(A),quotient(i(quotient(eta(A),B)),A)) ->
% quotient(eta(A),quotient(B,j(j(A))))
% Rule
% [1212]
% quotient(eta(A),quotient(i(quotient(eta(A),i(B))),A)) ->
% quotient(eta(A),quotient(i(B),j(j(A)))) collapsed.
% Rule
% [1362] i(quotient(eta(B),quotient(i(quotient(eta(B),A)),B))) -> quotient(A,B)
% collapsed.
% Rule
% [1664]
% quotient(eta(B),quotient(i(quotient(eta(B),quotient(i(A),i(B)))),B)) ->
% quotient(quotient(A,i(B)),B) collapsed.
% Rule
% [2495]
% quotient(quotient(eta(A),quotient(i(A),j(j(j(A))))),quotient(eta(A),quotient(
% i(
% quotient(
% eta(A),
% quotient(
% i(A),
% j(
% j(j(A)))))),A)))
% -> quotient(j(eta(A)),i(i(A))) collapsed.
% Rule
% [3122]
% quotient(quotient(eta(A),j(eta(A))),quotient(eta(A),quotient(i(quotient(
% eta(A),
% j(eta(A)))),A)))
% -> j(A) collapsed.
% Rule
% [3125]
% quotient(eta(A),quotient(i(quotient(eta(A),quotient(j(eta(B)),i(A)))),A)) ->
% eta(B) collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% quotient(eta(x0),quotient(quotient(eta(x1),quotient(i(x0),x1)),j(j(x0)))) =
% j(x1)
%
% Current number of equations to process: 1564
% Current number of ordered equations: 0
% Current number of rules: 1378
% Rule [1955]
% difference(i(A),quotient(eta(A),j(B))) ->
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(i(A)),
% j(j(B))))),A)),
% i(A)) is composed into [1955]
% difference(i(A),quotient(eta(A),j(B))) ->
% quotient(quotient(eta(A),quotient(quotient(
% i(i(A)),B),A)),
% i(A))
% Rule [1640]
% quotient(i(i(B)),quotient(quotient(difference(C,j(j(B))),eta(B)),
% i(i(B)))) ->
% quotient(eta(B),i(quotient(eta(B),quotient(i(C),j(j(B)))))) is composed into
% [1640]
% quotient(i(i(B)),quotient(quotient(difference(C,j(j(B))),eta(B)),i(i(B)))) ->
% quotient(eta(B),quotient(i(C),B))
% New rule produced :
% [3392] i(quotient(eta(B),quotient(A,j(j(B))))) -> quotient(A,B)
% Rule
% [1720]
% difference(A,quotient(eta(A),i(quotient(eta(A),quotient(i(B),j(j(A))))))) ->
% B collapsed.
% Rule
% [1935]
% difference(quotient(eta(B),j(eta(B))),quotient(eta(B),quotient(i(quotient(
% eta(B),
% quotient(
% i(A),
% j(j(B))))),
% i(B)))) ->
% quotient(quotient(quotient(eta(A),quotient(i(quotient(eta(B),j(eta(B)))),A)),
% j(j(B))),i(B)) collapsed.
% Rule
% [2085]
% quotient(j(quotient(i(quotient(eta(A),quotient(j(A),j(j(A))))),j(eta(A)))),
% j(j(A))) -> j(j(j(j(A)))) collapsed.
% Current number of equations to process: 1565
% Current number of ordered equations: 0
% Current number of rules: 1376
% New rule produced :
% [3393] quotient(eta(A),quotient(quotient(j(eta(B)),i(A)),j(j(A)))) -> eta(B)
% Current number of equations to process: 1564
% Current number of ordered equations: 0
% Current number of rules: 1377
% New rule produced :
% [3394]
% quotient(eta(B),quotient(quotient(i(A),i(B)),j(j(B)))) ->
% quotient(quotient(A,i(B)),B)
% Current number of equations to process: 1563
% Current number of ordered equations: 0
% Current number of rules: 1378
% New rule produced :
% [3395]
% quotient(j(quotient(i(quotient(A,j(A))),j(eta(A)))),j(j(A))) -> j(j(j(j(A))))
% Current number of equations to process: 1565
% Current number of ordered equations: 0
% Current number of rules: 1379
% New rule produced :
% [3396]
% quotient(eta(A),quotient(i(quotient(eta(A),i(B))),i(A))) ->
% quotient(eta(A),quotient(i(B),j(A)))
% Current number of equations to process: 1564
% Current number of ordered equations: 0
% Current number of rules: 1380
% New rule produced :
% [3397]
% quotient(eta(A),quotient(i(i(i(i(i(A))))),A)) ->
% quotient(eta(A),quotient(i(i(i(A))),j(j(A))))
% Current number of equations to process: 1563
% Current number of ordered equations: 0
% Current number of rules: 1381
% New rule produced :
% [3398]
% quotient(eta(A),quotient(i(quotient(eta(A),i(B))),j(A))) ->
% quotient(eta(A),quotient(i(B),j(j(j(A)))))
% Current number of equations to process: 1562
% Current number of ordered equations: 0
% Current number of rules: 1382
% New rule produced :
% [3399]
% quotient(quotient(eta(A),j(eta(A))),quotient(eta(A),j(j(j(j(j(A))))))) ->
% j(A)
% Current number of equations to process: 1560
% Current number of ordered equations: 0
% Current number of rules: 1383
% Rule [3295]
% quotient(quotient(eta(A),quotient(quotient(eta(A),quotient(j(eta(A)),
% i(i(i(i(i(i(i(i(A)))))))))),A)),
% i(A)) -> quotient(quotient(eta(A),quotient(i(i(i(i(i(i(A)))))),A)),i(A)) is composed into
% [3295]
% quotient(quotient(eta(A),quotient(quotient(eta(A),quotient(j(eta(A)),
% i(i(i(i(i(i(i(i(A)))))))))),A)),
% i(A)) -> quotient(quotient(eta(A),quotient(i(i(i(i(A)))),j(j(A)))),i(A))
% New rule produced :
% [3400]
% quotient(eta(A),quotient(i(i(i(i(i(i(A)))))),A)) ->
% quotient(eta(A),quotient(i(i(i(i(A)))),j(j(A))))
% Current number of equations to process: 1559
% Current number of ordered equations: 0
% Current number of rules: 1384
% New rule produced :
% [3401]
% quotient(quotient(eta(A),t(i(i(A)),i(t(i(A),j(t(A,i(quotient(A,j(A))))))))),A)
% -> A
% Current number of equations to process: 1558
% Current number of ordered equations: 0
% Current number of rules: 1385
% New rule produced :
% [3402]
% quotient(i(t(i(i(A)),i(t(i(A),j(t(A,i(quotient(A,j(A))))))))),i(i(i(i(A)))))
% -> i(i(A))
% Current number of equations to process: 1557
% Current number of ordered equations: 0
% Current number of rules: 1386
% New rule produced :
% [3403]
% quotient(quotient(eta(quotient(i(A),B)),t(quotient(i(A),B),B)),t(quotient(
% i(A),B),A))
% -> t(t(quotient(i(A),B),A),quotient(i(A),B))
% Current number of equations to process: 1556
% Current number of ordered equations: 0
% Current number of rules: 1387
% New rule produced :
% [3404]
% difference(t(quotient(A,B),A),quotient(quotient(A,B),quotient(quotient(A,
% quotient(
% eta(B),
% quotient(
% i(A),B))),
% quotient(A,B)))) ->
% quotient(A,B)
% Current number of equations to process: 1555
% Current number of ordered equations: 0
% Current number of rules: 1388
% Rule [2662]
% quotient(t(j(eta(A)),t(t(t(quotient(j(eta(A)),B),B),quotient(j(eta(A)),B)),
% t(quotient(j(eta(A)),B),B))),eta(A)) ->
% quotient(j(eta(A)),quotient(t(t(quotient(j(eta(A)),B),B),quotient(
% j(eta(A)),B)),
% j(eta(A)))) is composed into [2662]
% quotient(t(j(eta(A)),
% t(t(t(quotient(
% j(
% eta(A)),B),B),
% quotient(
% j(eta(A)),B)),
% t(quotient(
% j(eta(A)),B),B))),
% eta(A)) ->
% quotient(j(eta(A)),
% t(j(eta(A)),quotient(
% j(eta(A)),
% quotient(
% eta(
% t(quotient(
% j(
% eta(A)),B),B)),
% quotient(
% i(j(eta(A))),
% t(quotient(
% j(
% eta(A)),B),B))))))
% New rule produced :
% [3405]
% quotient(t(t(quotient(A,B),B),quotient(A,B)),A) ->
% t(A,quotient(A,quotient(eta(t(quotient(A,B),B)),quotient(i(A),t(quotient(A,B),B)))))
% Rule
% [1638]
% quotient(quotient(A,quotient(t(t(quotient(A,B),B),quotient(A,B)),A)),
% t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B))) -> A collapsed.
% Rule
% [1859]
% quotient(quotient(t(t(quotient(A,B),B),quotient(A,B)),t(t(t(quotient(A,B),B),
% quotient(A,B)),
% t(quotient(A,B),B))),
% quotient(t(t(quotient(A,B),B),quotient(A,B)),A)) ->
% t(t(quotient(A,B),B),quotient(A,B)) collapsed.
% Rule
% [2380]
% difference(t(A,t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B))),
% quotient(A,quotient(t(t(quotient(A,B),B),quotient(A,B)),A))) -> A collapsed.
% Rule
% [2519]
% quotient(quotient(A,quotient(t(t(quotient(A,B),B),quotient(A,B)),A)),
% t(A,t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B)))) ->
% t(t(A,t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B))),A)
% collapsed.
% Rule
% [2785]
% difference(t(t(A,t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B))),A),
% quotient(A,quotient(t(t(quotient(A,B),B),quotient(A,B)),A))) ->
% t(A,t(t(t(quotient(A,B),B),quotient(A,B)),t(quotient(A,B),B))) collapsed.
% Current number of equations to process: 1559
% Current number of ordered equations: 0
% Current number of rules: 1384
% New rule produced :
% [3406]
% t(eta(A),quotient(B,j(quotient(eta(quotient(eta(A),C)),quotient(j(eta(A)),
% i(quotient(eta(A),C)))))))
% -> t(eta(A),quotient(B,j(C)))
% Current number of equations to process: 1558
% Current number of ordered equations: 0
% Current number of rules: 1385
% New rule produced :
% [3407]
% t(eta(A),t(B,j(quotient(eta(quotient(eta(A),C)),quotient(j(eta(A)),i(
% quotient(
% eta(A),C)))))))
% -> t(eta(A),t(B,j(C)))
% Current number of equations to process: 1557
% Current number of ordered equations: 0
% Current number of rules: 1386
% New rule produced :
% [3408]
% quotient(quotient(eta(A),quotient(i(B),A)),quotient(eta(A),quotient(i(
% quotient(B,
% eta(C))),A)))
% -> t(quotient(quotient(eta(A),quotient(i(B),A)),eta(C)),eta(C))
% Current number of equations to process: 1556
% Current number of ordered equations: 0
% Current number of rules: 1387
% New rule produced :
% [3409]
% t(quotient(eta(A),quotient(i(quotient(B,eta(C))),A)),quotient(i(quotient(B,
% eta(C))),A))
% <-> quotient(eta(A),quotient(quotient(eta(A),quotient(i(B),A)),eta(C)))
% Current number of equations to process: 1555
% Current number of ordered equations: 1
% Current number of rules: 1388
% New rule produced :
% [3410]
% quotient(eta(A),quotient(quotient(eta(A),quotient(i(B),A)),eta(C))) <->
% t(quotient(eta(A),quotient(i(quotient(B,eta(C))),A)),quotient(i(quotient(B,
% eta(C))),A))
% Current number of equations to process: 1555
% Current number of ordered equations: 0
% Current number of rules: 1389
% New rule produced :
% [3411]
% quotient(quotient(eta(A),quotient(i(i(B)),A)),j(B)) -> quotient(A,j(eta(B)))
% Current number of equations to process: 1567
% Current number of ordered equations: 0
% Current number of rules: 1390
% New rule produced :
% [3412]
% quotient(j(quotient(i(i(i(A))),eta(B))),A) -> quotient(eta(B),j(eta(A)))
% Current number of equations to process: 1568
% Current number of ordered equations: 0
% Current number of rules: 1391
% New rule produced :
% [3413]
% quotient(quotient(eta(A),quotient(i(i(i(B))),i(A))),B) ->
% quotient(i(A),j(eta(B)))
% Current number of equations to process: 1568
% Current number of ordered equations: 0
% Current number of rules: 1392
% New rule produced :
% [3414]
% quotient(quotient(eta(A),quotient(i(i(i(B))),j(A))),B) ->
% quotient(j(A),j(eta(B)))
% Current number of equations to process: 1567
% Current number of ordered equations: 0
% Current number of rules: 1393
% New rule produced :
% [3415] quotient(quotient(A,i(i(B))),j(eta(B))) -> quotient(A,B)
% Current number of equations to process: 1576
% Current number of ordered equations: 0
% Current number of rules: 1394
% New rule produced :
% [3416]
% quotient(quotient(eta(A),quotient(i(i(i(B))),A)),quotient(A,j(eta(B)))) ->
% t(quotient(A,j(eta(B))),B)
% Current number of equations to process: 1580
% Current number of ordered equations: 0
% Current number of rules: 1395
% New rule produced :
% [3417]
% quotient(quotient(eta(t(eta(A),B)),t(eta(A),quotient(A,B))),i(A)) ->
% t(eta(A),quotient(B,j(eta(A))))
% Current number of equations to process: 1579
% Current number of ordered equations: 0
% Current number of rules: 1396
% New rule produced :
% [3418]
% quotient(quotient(A,quotient(B,j(eta(A)))),quotient(A,quotient(eta(B),
% quotient(i(i(i(A))),B))))
% -> A
% Current number of equations to process: 1578
% Current number of ordered equations: 0
% Current number of rules: 1397
% New rule produced :
% [3419]
% quotient(eta(quotient(A,j(eta(B)))),quotient(i(B),quotient(A,j(eta(B))))) ->
% quotient(eta(A),quotient(i(i(i(B))),A))
% Current number of equations to process: 1577
% Current number of ordered equations: 0
% Current number of rules: 1398
% New rule produced :
% [3420]
% quotient(t(A,quotient(i(A),j(eta(difference(A,i(i(i(B)))))))),B) ->
% quotient(difference(A,i(i(i(B)))),j(eta(B)))
% Current number of equations to process: 1576
% Current number of ordered equations: 0
% Current number of rules: 1399
% New rule produced :
% [3421]
% quotient(quotient(eta(quotient(i(i(i(A))),B)),t(quotient(i(i(i(A))),B),B)),A)
% -> quotient(quotient(i(i(i(A))),B),j(eta(A)))
% Current number of equations to process: 1575
% Current number of ordered equations: 0
% Current number of rules: 1400
% New rule produced :
% [3422]
% quotient(quotient(eta(A),quotient(i(i(i(B))),A)),t(quotient(A,j(eta(B))),B))
% -> t(t(quotient(A,j(eta(B))),B),quotient(A,j(eta(B))))
% Current number of equations to process: 1574
% Current number of ordered equations: 0
% Current number of rules: 1401
% New rule produced :
% [3423]
% quotient(difference(i(A),quotient(eta(A),quotient(i(B),j(A)))),B) -> eta(A)
% Current number of equations to process: 1583
% Current number of ordered equations: 0
% Current number of rules: 1402
% New rule produced :
% [3424]
% quotient(difference(A,quotient(eta(A),quotient(B,j(j(A))))),j(B)) -> eta(A)
% Current number of equations to process: 1582
% Current number of ordered equations: 0
% Current number of rules: 1403
% New rule produced :
% [3425]
% quotient(difference(A,quotient(eta(A),quotient(i(B),j(j(A))))),eta(A)) ->
% t(eta(A),B)
% Current number of equations to process: 1583
% Current number of ordered equations: 0
% Current number of rules: 1404
% New rule produced :
% [3426]
% quotient(difference(j(A),quotient(eta(A),quotient(i(B),j(j(j(A)))))),B) ->
% eta(A)
% Current number of equations to process: 1582
% Current number of ordered equations: 0
% Current number of rules: 1405
% New rule produced :
% [3427]
% quotient(difference(A,quotient(eta(A),quotient(j(eta(B)),j(j(A))))),eta(B))
% -> eta(A)
% Current number of equations to process: 1581
% Current number of ordered equations: 0
% Current number of rules: 1406
% New rule produced :
% [3428]
% difference(B,quotient(eta(B),quotient(i(A),j(j(B))))) ->
% j(quotient(i(A),eta(B)))
% Rule
% [1219]
% quotient(difference(B,quotient(eta(B),quotient(i(A),j(j(B))))),A) -> eta(B)
% collapsed.
% Rule
% [3425]
% quotient(difference(A,quotient(eta(A),quotient(i(B),j(j(A))))),eta(A)) ->
% t(eta(A),B) collapsed.
% Current number of equations to process: 1589
% Current number of ordered equations: 0
% Current number of rules: 1405
% New rule produced :
% [3429]
% quotient(difference(A,quotient(eta(A),quotient(j(t(eta(B),eta(C))),j(j(A))))),
% t(eta(B),eta(C))) -> eta(A)
% Current number of equations to process: 1589
% Current number of ordered equations: 0
% Current number of rules: 1406
% New rule produced :
% [3430]
% quotient(j(quotient(i(B),eta(A))),t(eta(A),t(B,eta(A)))) ->
% t(eta(A),t(t(B,eta(A)),B))
% Current number of equations to process: 1588
% Current number of ordered equations: 0
% Current number of rules: 1407
% New rule produced : [3431] t(eta(A),eta(B)) -> eta(t(eta(A),B))
% Rule [933] i(t(eta(A),eta(B))) -> j(t(eta(A),eta(B))) collapsed.
% Rule [2033] j(j(t(eta(A),eta(B)))) -> t(eta(A),eta(B)) collapsed.
% Rule [2135] eta(t(eta(A),eta(B))) -> one collapsed.
% Rule [2136] i(t(eta(A),t(eta(B),eta(C)))) -> j(t(eta(A),t(eta(B),eta(C))))
% collapsed.
% Rule
% [2139]
% quotient(difference(i(quotient(A,t(eta(B),eta(C)))),quotient(difference(
% j(t(eta(B),
% eta(C))),A),
% t(eta(B),eta(C)))),
% quotient(A,t(eta(B),eta(C)))) -> A collapsed.
% Rule
% [2945]
% quotient(quotient(eta(A),quotient(j(t(eta(B),eta(C))),A)),t(eta(B),eta(C)))
% -> A collapsed.
% Rule
% [3032]
% quotient(eta(quotient(A,t(eta(B),eta(C)))),quotient(j(t(eta(B),eta(C))),
% quotient(A,t(eta(B),eta(C))))) ->
% A collapsed.
% Rule
% [3126]
% quotient(eta(A),j(quotient(j(eta(A)),j(t(eta(B),eta(C)))))) ->
% t(eta(B),eta(C)) collapsed.
% Rule
% [3131]
% t(eta(A),eta(quotient(eta(B),quotient(j(eta(A)),i(B))))) ->
% eta(quotient(B,eta(A))) collapsed.
% Rule
% [3223]
% quotient(quotient(eta(A),quotient(quotient(j(t(eta(B),eta(C))),A),eta(A))),
% t(eta(B),eta(C))) -> i(i(A)) collapsed.
% Rule
% [3274]
% quotient(quotient(eta(A),quotient(j(t(eta(B),eta(C))),A)),t(A,t(eta(B),
% eta(C)))) ->
% t(t(A,t(eta(B),eta(C))),A) collapsed.
% Rule
% [3279]
% quotient(t(eta(A),eta(B)),j(quotient(j(t(eta(A),eta(B))),j(eta(C))))) ->
% eta(C) collapsed.
% Rule
% [3306]
% quotient(quotient(eta(A),quotient(j(t(eta(B),eta(C))),j(j(A)))),t(eta(B),
% eta(C))) ->
% j(j(A)) collapsed.
% Rule
% [3310]
% difference(j(t(eta(A),eta(B))),quotient(j(C),j(t(eta(A),eta(B))))) ->
% quotient(j(quotient(C,t(eta(A),eta(B)))),j(t(eta(A),eta(B)))) collapsed.
% Rule
% [3338]
% quotient(eta(A),quotient(i(quotient(t(eta(B),eta(C)),eta(V_3))),A)) <->
% quotient(quotient(eta(A),quotient(j(t(eta(B),eta(C))),A)),eta(V_3))
% collapsed.
% Rule
% [3339]
% quotient(quotient(eta(A),quotient(j(t(eta(B),eta(C))),A)),eta(V_3)) <->
% quotient(eta(A),quotient(i(quotient(t(eta(B),eta(C)),eta(V_3))),A))
% collapsed.
% Rule
% [3429]
% quotient(difference(A,quotient(eta(A),quotient(j(t(eta(B),eta(C))),j(j(A))))),
% t(eta(B),eta(C))) -> eta(A) collapsed.
% Current number of equations to process: 1611
% Current number of ordered equations: 0
% Current number of rules: 1391
% New rule produced :
% [3432]
% eta(t(eta(A),quotient(eta(B),quotient(j(eta(A)),i(B))))) ->
% eta(quotient(B,eta(A)))
% Current number of equations to process: 1614
% Current number of ordered equations: 0
% Current number of rules: 1392
% New rule produced :
% [3433] quotient(eta(A),i(quotient(B,t(eta(A),B)))) -> t(eta(A),t(B,eta(A)))
% Current number of equations to process: 1653
% Current number of ordered equations: 0
% Current number of rules: 1393
% New rule produced :
% [3434] j(quotient(eta(A),i(i(difference(j(eta(A)),B))))) -> t(eta(A),B)
% Current number of equations to process: 1653
% Current number of ordered equations: 0
% Current number of rules: 1394
% New rule produced :
% [3435] t(B,quotient(i(difference(A,B)),A)) -> quotient(eta(A),B)
% Current number of equations to process: 1656
% Current number of ordered equations: 0
% Current number of rules: 1395
% New rule produced :
% [3436] quotient(eta(A),quotient(i(difference(i(A),B)),i(A))) -> B
% Rule
% [2335]
% t(eta(A),quotient(difference(i(B),C),quotient(eta(B),quotient(i(difference(
% i(B),C)),
% i(B))))) ->
% t(eta(A),quotient(quotient(eta(C),quotient(i(i(B)),C)),quotient(eta(i(B)),
% quotient(i(quotient(
% eta(C),
% quotient(
% i(i(B)),C))),
% i(B))))) collapsed.
% Current number of equations to process: 1656
% Current number of ordered equations: 0
% Current number of rules: 1395
% New rule produced :
% [3437] quotient(eta(A),quotient(i(difference(j(A),B)),j(A))) -> B
% Rule
% [2334]
% t(eta(A),quotient(difference(j(B),C),quotient(eta(B),quotient(i(difference(
% j(B),C)),
% j(B))))) ->
% t(eta(A),quotient(quotient(eta(C),quotient(i(j(B)),C)),quotient(eta(j(B)),
% quotient(i(quotient(
% eta(C),
% quotient(
% i(j(B)),C))),
% j(B))))) collapsed.
% Rule
% [2997]
% j(quotient(i(quotient(eta(A),quotient(i(difference(j(A),B)),j(A)))),A)) ->
% j(quotient(i(B),A)) collapsed.
% Current number of equations to process: 1656
% Current number of ordered equations: 0
% Current number of rules: 1394
% New rule produced :
% [3438]
% j(quotient(i(difference(B,A)),B)) ->
% j(quotient(eta(A),quotient(j(eta(B)),i(A))))
% Current number of equations to process: 1656
% Current number of ordered equations: 0
% Current number of rules: 1395
% New rule produced :
% [3439]
% quotient(eta(A),quotient(i(quotient(i(difference(B,A)),B)),A)) -> eta(B)
% Current number of equations to process: 1662
% Current number of ordered equations: 0
% Current number of rules: 1396
% New rule produced :
% [3440]
% quotient(eta(C),quotient(i(quotient(difference(C,A),eta(B))),C)) ->
% quotient(A,eta(B))
% Current number of equations to process: 1662
% Current number of ordered equations: 0
% Current number of rules: 1397
% New rule produced :
% [3441]
% t(eta(A),t(quotient(B,quotient(eta(A),i(B))),quotient(eta(A),i(B)))) ->
% quotient(eta(A),i(B))
% Current number of equations to process: 1663
% Current number of ordered equations: 0
% Current number of rules: 1398
% New rule produced :
% [3442]
% quotient(quotient(quotient(i(difference(A,B)),A),B),quotient(quotient(
% i(difference(A,B)),A),
% eta(A))) ->
% quotient(i(difference(A,B)),A)
% Current number of equations to process: 1662
% Current number of ordered equations: 0
% Current number of rules: 1399
% Rule [3409]
% t(quotient(eta(A),quotient(i(quotient(B,eta(C))),A)),quotient(i(
% quotient(B,
% eta(C))),A))
% <-> quotient(eta(A),quotient(quotient(eta(A),quotient(i(B),A)),eta(C))) is composed into
% [3409]
% t(quotient(eta(A),quotient(i(quotient(B,eta(C))),A)),quotient(i(quotient(B,
% eta(C))),A))
% <-> quotient(eta(A),quotient(eta(A),i(quotient(j(quotient(i(B),A)),eta(C)))))
% Rule [3360]
% quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(quotient(C,
% eta(V_3))),B))),A))
% <->
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(C),B))),A)),
% eta(V_3)) is composed into [3360]
% quotient(eta(A),quotient(i(quotient(eta(B),
% quotient(i(
% quotient(C,
% eta(V_3))),B))),A))
% <->
% quotient(eta(A),i(quotient(j(quotient(
% i(quotient(
% eta(B),
% quotient(
% i(C),B))),A)),
% eta(V_3))))
% Rule [3353]
% quotient(eta(A),quotient(i(quotient(quotient(B,eta(C)),eta(V_3))),A))
% <->
% quotient(quotient(quotient(eta(A),quotient(i(B),A)),eta(C)),eta(V_3)) is composed into
% [3353]
% quotient(eta(A),quotient(i(quotient(quotient(B,eta(C)),eta(V_3))),A)) <->
% quotient(eta(A),i(quotient(j(i(quotient(j(quotient(i(B),A)),eta(C)))),
% eta(V_3))))
% Rule [3349]
% quotient(quotient(A,eta(B)),eta(B)) <->
% quotient(eta(A),quotient(quotient(eta(B),j(eta(B))),A)) is composed into
% [3349]
% quotient(quotient(A,eta(B)),eta(B)) ->
% quotient(eta(A),quotient(eta(B),i(quotient(j(j(eta(B))),A))))
% Rule [3343]
% quotient(eta(quotient(i(A),B)),quotient(i(quotient(A,eta(C))),quotient(
% i(A),B)))
% <->
% quotient(quotient(eta(quotient(i(A),B)),t(quotient(i(A),B),B)),eta(C)) is composed into
% [3343]
% quotient(eta(quotient(i(A),B)),quotient(i(quotient(A,eta(C))),quotient(
% i(A),B))) <->
% quotient(eta(quotient(i(A),B)),i(quotient(j(t(quotient(i(A),B),B)),eta(C))))
% Rule [3335]
% quotient(eta(A),quotient(i(quotient(B,eta(C))),j(A))) <->
% quotient(quotient(eta(A),quotient(i(B),j(A))),eta(C)) is composed into
% [3335]
% quotient(eta(A),quotient(i(quotient(B,eta(C))),j(A))) <->
% quotient(eta(A),i(quotient(j(quotient(i(B),j(A))),eta(C))))
% Rule [3333]
% quotient(eta(A),quotient(i(quotient(B,eta(C))),i(A))) <->
% quotient(quotient(eta(A),quotient(i(B),i(A))),eta(C)) is composed into
% [3333]
% quotient(eta(A),quotient(i(quotient(B,eta(C))),i(A))) <->
% quotient(eta(A),i(quotient(j(quotient(i(B),i(A))),eta(C))))
% Rule [3330]
% quotient(eta(A),quotient(i(quotient(j(B),eta(C))),A)) <->
% quotient(quotient(eta(A),quotient(B,A)),eta(C)) is composed into
% [3330]
% quotient(eta(A),quotient(i(quotient(j(B),eta(C))),A)) <->
% quotient(eta(A),i(quotient(j(quotient(B,A)),eta(C))))
% Rule [3296]
% difference(i(A),t(eta(A),quotient(eta(A),i(quotient(B,j(j(j(A)))))))) ->
% quotient(quotient(eta(A),quotient(i(t(eta(A),B)),A)),i(A)) is composed into
% [3296]
% difference(i(A),t(eta(A),quotient(eta(A),i(quotient(B,j(j(j(A)))))))) ->
% quotient(eta(A),i(quotient(j(quotient(i(t(eta(A),B)),A)),i(A))))
% Rule [3294]
% difference(i(A),quotient(B,i(A))) ->
% quotient(quotient(eta(A),quotient(quotient(eta(B),quotient(j(eta(A)),
% i(B))),A)),i(A)) is composed into
% [3294]
% difference(i(A),quotient(B,i(A))) ->
% quotient(eta(A),i(quotient(j(quotient(eta(B),i(quotient(j(quotient(j(eta(A)),
% i(B))),A)))),
% i(A))))
% Rule [2999]
% t(eta(A),quotient(t(eta(A),quotient(j(eta(A)),j(eta(quotient(B,j(eta(A))))))),C))
% <-> quotient(quotient(eta(B),eta(A)),t(eta(A),C)) is composed into
% [2999]
% t(eta(A),quotient(t(eta(A),quotient(j(eta(A)),j(eta(quotient(B,j(eta(A))))))),C))
% -> quotient(eta(B),i(quotient(j(eta(A)),t(eta(A),C))))
% Rule [2980]
% quotient(eta(B),quotient(i(quotient(C,j(eta(A)))),B)) <->
% quotient(quotient(eta(B),quotient(i(C),B)),j(eta(A))) is composed into
% [2980]
% quotient(eta(B),quotient(i(quotient(C,j(eta(A)))),B)) <->
% quotient(eta(B),i(quotient(j(quotient(i(C),B)),j(eta(A)))))
% Rule [2830]
% quotient(difference(B,i(i(A))),A) ->
% quotient(quotient(eta(A),quotient(i(B),A)),quotient(eta(j(quotient(
% eta(B),
% quotient(
% j(eta(A)),
% i(B))))),
% quotient(i(quotient(eta(A),
% quotient(i(B),A))),
% j(quotient(eta(B),quotient(
% j(eta(A)),
% i(B))))))) is composed into
% [2830]
% quotient(difference(B,i(i(A))),A) ->
% quotient(eta(A),i(quotient(j(quotient(i(B),A)),quotient(eta(j(quotient(
% eta(B),
% quotient(
% j(eta(A)),
% i(B))))),
% quotient(i(quotient(eta(A),
% quotient(i(B),A))),
% j(quotient(eta(B),quotient(
% j(eta(A)),
% i(B)))))))))
% Rule [2788]
% quotient(difference(A,j(B)),B) ->
% quotient(quotient(eta(B),quotient(i(A),B)),quotient(eta(quotient(
% quotient(
% eta(t(i(B),
% j(t(B,
% i(
% quotient(B,
% j(B))))))),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(i(B)),A))),
% t(i(B),j(
% t(B,
% i(
% quotient(B,
% j(B)))))))),
% i(B))),quotient(
% i(
% quotient(
% eta(B),
% quotient(
% i(A),B))),
% quotient(
% quotient(
% eta(
% t(
% i(B),
% j(
% t(B,
% i(
% quotient(B,
% j(B))))))),
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% i(
% i(B)),A))),
% t(
% i(B),
% j(
% t(B,
% i(
% quotient(B,
% j(B)))))))),
% i(B))))) is composed into
% [2788]
% quotient(difference(A,j(B)),B) ->
% quotient(eta(B),i(quotient(j(quotient(i(A),B)),quotient(eta(quotient(
% eta(t(i(B),
% j(t(B,
% i(quotient(B,
% j(B))))))),
% i(quotient(
% j(quotient(
% i(quotient(
% eta(A),
% quotient(
% i(i(B)),A))),
% t(i(B),
% j(t(B,
% i(quotient(B,
% j(B)))))))),
% i(B))))),
% quotient(i(quotient(eta(B),
% quotient(i(A),B))),
% quotient(eta(t(i(B),j(
% t(B,
% i(
% quotient(B,
% j(B))))))),
% i(quotient(j(quotient(
% i(quotient(
% eta(A),
% quotient(
% i(i(B)),A))),
% t(i(B),j(
% t(B,
% i(
% quotient(B,
% j(B)))))))),
% i(B)))))))))
% Rule [2489]
% quotient(difference(A,B),B) ->
% quotient(quotient(eta(B),quotient(i(A),B)),quotient(eta(A),quotient(
% i(quotient(
% eta(B),
% quotient(
% i(A),B))),A))) is composed into
% [2489]
% quotient(difference(A,B),B) ->
% quotient(eta(B),i(quotient(j(quotient(i(A),B)),quotient(eta(A),quotient(
% i(quotient(
% eta(B),
% quotient(
% i(A),B))),A)))))
% Rule [2316]
% difference(quotient(eta(A),j(eta(B))),quotient(eta(A),i(B))) ->
% quotient(quotient(eta(A),j(eta(B))),quotient(eta(B),quotient(i(quotient(
% eta(A),
% j(
% eta(B)))),
% j(B)))) is composed into
% [2316]
% difference(quotient(eta(A),j(eta(B))),quotient(eta(A),i(B))) ->
% quotient(eta(A),i(quotient(j(j(eta(B))),quotient(eta(B),quotient(i(quotient(
% eta(A),
% j(
% eta(B)))),
% j(B))))))
% Rule [2315]
% difference(quotient(eta(A),j(eta(B))),quotient(eta(A),i(i(B)))) ->
% quotient(quotient(eta(A),j(eta(B))),quotient(eta(B),quotient(i(quotient(
% eta(A),
% j(
% eta(B)))),B))) is composed into
% [2315]
% difference(quotient(eta(A),j(eta(B))),quotient(eta(A),i(i(B)))) ->
% quotient(eta(A),i(quotient(j(j(eta(B))),quotient(eta(B),quotient(i(quotient(
% eta(A),
% j(
% eta(B)))),B)))))
% Rule [2295]
% quotient(difference(j(eta(B)),A),quotient(eta(difference(j(eta(B)),
% difference(j(eta(B)),A))),
% quotient(i(difference(j(eta(B)),A)),
% difference(j(eta(B)),difference(
% j(eta(B)),A)))))
% ->
% quotient(quotient(eta(eta(B)),quotient(i(A),eta(B))),quotient(eta(
% quotient(
% quotient(
% eta(
% t(
% i(
% eta(B)),
% j(
% t(
% eta(B),
% i(
% quotient(
% eta(B),
% j(
% eta(B)))))))),
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% i(
% i(
% eta(B))),A))),
% t(
% i(
% eta(B)),
% j(
% t(
% eta(B),
% i(
% quotient(
% eta(B),
% j(
% eta(B))))))))),
% i(
% eta(B)))),
% quotient(i(
% quotient(
% eta(
% eta(B)),
% quotient(
% i(A),
% eta(B)))),
% quotient(quotient(
% eta(
% t(
% i(
% eta(B)),
% j(
% t(
% eta(B),
% i(
% quotient(
% eta(B),
% j(
% eta(B)))))))),
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% i(
% i(
% eta(B))),A))),
% t(
% i(
% eta(B)),
% j(
% t(
% eta(B),
% i(
% quotient(
% eta(B),
% j(
% eta(B))))))))),
% i(eta(B)))))) is composed into
% [2295]
% quotient(difference(j(eta(B)),A),quotient(eta(difference(j(eta(B)),difference(
% j(
% eta(B)),A))),
% quotient(i(difference(j(eta(B)),A)),
% difference(j(eta(B)),difference(j(eta(B)),A)))))
% ->
% quotient(eta(eta(B)),i(quotient(j(quotient(i(A),eta(B))),quotient(eta(
% quotient(
% eta(
% t(i(eta(B)),
% j(t(
% eta(B),
% i(
% quotient(
% eta(B),
% j(
% eta(B)))))))),
% i(quotient(
% j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% i(
% i(
% eta(B))),A))),
% t(
% i(
% eta(B)),
% j(
% t(
% eta(B),
% i(
% quotient(
% eta(B),
% j(
% eta(B))))))))),
% i(
% eta(B)))))),
% quotient(i(quotient(
% eta(
% eta(B)),
% quotient(
% i(A),
% eta(B)))),
% quotient(eta(
% t(i(eta(B)),
% j(t(
% eta(B),
% i(
% quotient(
% eta(B),
% j(
% eta(B)))))))),
% i(quotient(j(
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% i(
% i(
% eta(B))),A))),
% t(
% i(
% eta(B)),
% j(
% t(
% eta(B),
% i(
% quotient(
% eta(B),
% j(
% eta(B))))))))),
% i(eta(B))))))))))
% Rule [2261]
% quotient(difference(j(B),j(j(A))),eta(A)) <->
% quotient(quotient(eta(A),B),quotient(eta(difference(i(i(A)),quotient(
% eta(A),B))),
% quotient(i(quotient(eta(A),B)),difference(
% i(i(A)),
% quotient(
% eta(A),B))))) is composed into
% [2261]
% quotient(difference(j(B),j(j(A))),eta(A)) <->
% quotient(eta(A),i(quotient(j(B),quotient(eta(difference(i(i(A)),quotient(
% eta(A),B))),
% quotient(i(quotient(eta(A),B)),difference(
% i(i(A)),
% quotient(
% eta(A),B)))))))
% Rule [2246]
% difference(quotient(difference(A,B),quotient(eta(difference(A,difference(A,B))),
% quotient(i(difference(A,B)),
% difference(A,difference(A,B))))),
% difference(B,A)) ->
% quotient(quotient(eta(difference(B,A)),quotient(i(A),difference(B,A))),
% quotient(eta(A),quotient(i(quotient(eta(difference(B,A)),quotient(
% i(A),difference(B,A)))),A))) is composed into
% [2246]
% difference(quotient(difference(A,B),quotient(eta(difference(A,difference(A,B))),
% quotient(i(difference(A,B)),difference(A,
% difference(A,B))))),
% difference(B,A)) ->
% quotient(eta(difference(B,A)),i(quotient(j(quotient(i(A),difference(B,A))),
% quotient(eta(A),quotient(i(quotient(eta(
% difference(B,A)),
% quotient(i(A),
% difference(B,A)))),A)))))
% Rule [2216]
% quotient(quotient(difference(A,B),quotient(eta(difference(A,difference(A,B))),
% quotient(i(difference(A,B)),difference(A,
% difference(A,B))))),
% quotient(eta(A),quotient(i(quotient(difference(A,B),quotient(eta(
% difference(A,
% difference(A,B))),
% quotient(i(difference(A,B)),
% difference(A,
% difference(A,B)))))),A)))
% <->
% quotient(quotient(eta(difference(B,A)),quotient(i(A),difference(B,A))),
% quotient(eta(A),quotient(i(quotient(eta(difference(B,A)),quotient(
% i(A),difference(B,A)))),A))) is composed into
% [2216]
% quotient(quotient(difference(A,B),quotient(eta(difference(A,difference(A,B))),
% quotient(i(difference(A,B)),difference(A,
% difference(A,B))))),
% quotient(eta(A),quotient(i(quotient(difference(A,B),quotient(eta(difference(A,
% difference(A,B))),
% quotient(i(difference(A,B)),
% difference(A,difference(A,B)))))),A)))
% <->
% quotient(eta(difference(B,A)),i(quotient(j(quotient(i(A),difference(B,A))),
% quotient(eta(A),quotient(i(quotient(eta(
% difference(B,A)),
% quotient(i(A),
% difference(B,A)))),A)))))
% Rule [2023]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(B,
% quotient(A,C)),A),A)))
% <->
% quotient(eta(difference(quotient(A,j(A)),quotient(A,quotient(quotient(C,A),A)))),
% quotient(i(quotient(quotient(quotient(eta(quotient(quotient(difference(
% i(C),A),C),B)),
% quotient(i(quotient(A,j(A))),quotient(
% quotient(
% difference(
% i(C),A),C),B))),A),A)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(C,A),A))))) is composed into
% [2023]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(B,quotient(A,C)),A),A)))
% <->
% quotient(eta(difference(quotient(A,j(A)),quotient(A,quotient(quotient(C,A),A)))),
% quotient(i(quotient(eta(quotient(quotient(difference(i(C),A),C),B)),i(
% quotient(
% j(
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(A,
% j(A))),
% quotient(
% quotient(
% difference(
% i(C),A),C),B))),A))),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(C,A),A)))))
% Rule [2000]
% difference(quotient(quotient(A,quotient(B,A)),quotient(quotient(A,B),
% quotient(A,quotient(B,A)))),
% quotient(quotient(A,quotient(B,A)),quotient(quotient(difference(C,
% quotient(difference(
% i(
% quotient(A,B)),
% quotient(A,
% quotient(B,A))),
% quotient(A,B))),A),
% quotient(A,quotient(B,A))))) ->
% quotient(quotient(quotient(eta(C),quotient(i(quotient(quotient(A,
% quotient(B,A)),
% quotient(quotient(A,B),
% quotient(A,quotient(B,A))))),C)),A),
% quotient(A,quotient(B,A))) is composed into [2000]
% difference(quotient(
% quotient(A,
% quotient(B,A)),
% quotient(
% quotient(A,B),
% quotient(A,
% quotient(B,A)))),
% quotient(quotient(A,
% quotient(B,A)),
% quotient(quotient(difference(C,
% quotient(
% difference(
% i(
% quotient(A,B)),
% quotient(A,
% quotient(B,A))),
% quotient(A,B))),A),
% quotient(A,quotient(B,A)))))
% ->
% quotient(eta(C),i(quotient(
% j(
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% quotient(A,
% quotient(B,A)),
% quotient(
% quotient(A,B),
% quotient(A,
% quotient(B,A))))),C)),A))),
% quotient(A,
% quotient(B,A)))))
% Rule [1992]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(j(quotient(A,B)),A),A)))
% <->
% quotient(eta(difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A)))),
% quotient(i(quotient(quotient(quotient(eta(quotient(difference(i(B),A),B)),
% quotient(i(quotient(A,j(A))),quotient(
% difference(
% i(B),A),B))),A),A)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A))))) is composed into
% [1992]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(j(quotient(A,B)),A),A)))
% <->
% quotient(eta(difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A)))),
% quotient(i(quotient(eta(quotient(difference(i(B),A),B)),i(quotient(j(
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(A,
% j(A))),
% quotient(
% difference(
% i(B),A),B))),A))),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A)))))
% Rule [1984]
% quotient(quotient(A,quotient(quotient(quotient(difference(C,quotient(
% difference(
% i(B),A),B)),
% quotient(A,B)),A),A)),quotient(A,
% j(A))) <->
% t(quotient(A,j(A)),quotient(eta(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(B,A),A)))),
% quotient(i(quotient(quotient(quotient(eta(C),
% quotient(i(quotient(A,
% j(A))),C)),A),A)),
% difference(quotient(A,j(A)),quotient(A,quotient(
% quotient(B,A),A)))))) is composed into
% [1984]
% quotient(quotient(A,quotient(quotient(quotient(difference(C,quotient(
% difference(
% i(B),A),B)),
% quotient(A,B)),A),A)),quotient(A,j(A)))
% <->
% t(quotient(A,j(A)),quotient(eta(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(B,A),A)))),
% quotient(i(quotient(eta(C),i(quotient(j(i(quotient(
% j(quotient(
% i(quotient(A,
% j(A))),C)),A))),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A))))))
% Rule [1974]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(
% difference(B,
% quotient(
% difference(
% j(eta(C)),A),
% eta(C))),
% quotient(A,
% eta(C))),A),A)))
% ->
% quotient(eta(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% eta(C),A),A)))),
% quotient(i(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(eta(C),A),A))))) is composed into
% [1974]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(B,
% quotient(
% difference(
% j(eta(C)),A),
% eta(C))),
% quotient(A,eta(C))),A),A)))
% ->
% quotient(eta(difference(quotient(A,j(A)),quotient(A,quotient(eta(C),i(
% quotient(
% j(A),A)))))),
% quotient(i(quotient(eta(B),i(quotient(j(i(quotient(j(quotient(i(quotient(A,
% j(A))),B)),A))),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(eta(C),i(quotient(j(A),A)))))))
% Rule [1972]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(
% difference(B,
% quotient(
% difference(C,A),
% j(C))),
% quotient(A,
% j(C))),A),A)))
% ->
% quotient(eta(difference(quotient(A,j(A)),quotient(A,quotient(quotient(
% j(C),A),A)))),
% quotient(i(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(j(C),A),A))))) is composed into
% [1972]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(difference(B,
% quotient(
% difference(C,A),
% j(C))),
% quotient(A,j(C))),A),A)))
% ->
% quotient(eta(difference(quotient(A,j(A)),quotient(A,quotient(quotient(j(C),A),A)))),
% quotient(i(quotient(eta(B),i(quotient(j(i(quotient(j(quotient(i(quotient(A,
% j(A))),B)),A))),A)))),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(j(C),A),A)))))
% Rule [1955]
% difference(i(A),quotient(eta(A),j(B))) ->
% quotient(quotient(eta(A),quotient(quotient(i(i(A)),B),A)),i(A)) is composed into
% [1955]
% difference(i(A),quotient(eta(A),j(B))) ->
% quotient(eta(A),i(quotient(j(quotient(quotient(i(i(A)),B),A)),i(A))))
% Rule [1869]
% quotient(quotient(difference(i(A),quotient(eta(B),i(quotient(eta(
% quotient(
% eta(C),
% quotient(
% i(i(A)),C))),
% quotient(i(A),
% quotient(eta(C),
% quotient(i(i(A)),C))))))),A),
% i(A)) ->
% quotient(quotient(quotient(quotient(quotient(eta(quotient(quotient(
% eta(difference(
% i(A),
% quotient(
% eta(B),
% i(C)))),
% quotient(
% j(t(A,
% i(quotient(A,
% j(A))))),
% difference(
% i(A),quotient(
% eta(B),
% i(C))))),
% i(A))),quotient(
% i(quotient(
% eta(quotient(
% eta(x1),
% quotient(
% i(A),x1))),
% quotient(
% i(i(A)),
% quotient(
% eta(x1),
% quotient(
% i(A),x1))))),
% quotient(
% quotient(
% eta(difference(
% i(A),
% quotient(
% eta(B),
% i(C)))),
% quotient(
% j(t(A,i(
% quotient(A,
% j(A))))),
% difference(
% i(A),quotient(
% eta(B),
% i(C))))),
% i(A)))),
% i(A)),A),x1),i(A)) is composed into [1869]
% quotient(
% quotient(
% difference(
% i(A),
% quotient(
% eta(B),
% i(
% quotient(
% eta(
% quotient(
% eta(C),
% quotient(
% i(
% i(A)),C))),
% quotient(
% i(A),
% quotient(
% eta(C),
% quotient(
% i(
% i(A)),C))))))),A),
% i(A)) ->
% quotient(
% eta(
% quotient(
% eta(
% difference(
% i(A),
% quotient(
% eta(B),
% i(C)))),
% i(
% quotient(
% j(
% quotient(
% j(
% t(A,
% i(
% quotient(A,
% j(A))))),
% difference(
% i(A),
% quotient(
% eta(B),
% i(C))))),
% i(A))))),
% i(
% quotient(
% j(
% i(
% quotient(
% j(
% i(
% quotient(
% j(
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(
% quotient(
% eta(x1),
% quotient(
% i(A),x1))),
% quotient(
% i(
% i(A)),
% quotient(
% eta(x1),
% quotient(
% i(A),x1))))),
% quotient(
% eta(
% difference(
% i(A),
% quotient(
% eta(B),
% i(C)))),
% i(
% quotient(
% j(
% quotient(
% j(
% t(A,
% i(
% quotient(A,
% j(A))))),
% difference(
% i(A),
% quotient(
% eta(B),
% i(C))))),
% i(A)))))),
% i(A)))),A))),x1))),
% i(A))))
% Rule [1854]
% difference(i(A),quotient(eta(A),i(B))) ->
% quotient(quotient(quotient(quotient(quotient(eta(quotient(quotient(
% eta(difference(
% i(A),B)),
% quotient(
% j(t(A,
% i(quotient(A,
% j(A))))),
% difference(
% i(A),B))),
% i(A))),quotient(
% i(quotient(
% eta(quotient(
% eta(x1),
% quotient(
% i(A),x1))),
% quotient(
% i(i(A)),
% quotient(
% eta(x1),
% quotient(
% i(A),x1))))),
% quotient(
% quotient(
% eta(difference(
% i(A),B)),
% quotient(
% j(t(A,i(
% quotient(A,
% j(A))))),
% difference(
% i(A),B))),
% i(A)))),
% i(A)),A),x1),i(A)) is composed into [1854]
% difference(
% i(A),
% quotient(
% eta(A),
% i(B))) ->
% quotient(
% eta(
% quotient(
% eta(
% difference(
% i(A),B)),
% i(
% quotient(
% j(
% quotient(
% j(
% t(A,
% i(
% quotient(A,
% j(A))))),
% difference(
% i(A),B))),
% i(A))))),
% i(
% quotient(
% j(
% i(
% quotient(
% j(
% i(
% quotient(
% j(
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(
% quotient(
% eta(x1),
% quotient(
% i(A),x1))),
% quotient(
% i(
% i(A)),
% quotient(
% eta(x1),
% quotient(
% i(A),x1))))),
% quotient(
% eta(
% difference(
% i(A),B)),
% i(
% quotient(
% j(
% quotient(
% j(
% t(A,
% i(
% quotient(A,
% j(A))))),
% difference(
% i(A),B))),
% i(A)))))),
% i(A)))),A))),x1))),
% i(A))))
% Rule [1852]
% difference(j(A),quotient(eta(A),i(B))) ->
% quotient(quotient(quotient(quotient(eta(A),quotient(i(quotient(eta(
% quotient(
% eta(
% quotient(
% eta(B),
% quotient(A,B))),
% quotient(
% i(A),
% quotient(
% eta(B),
% quotient(A,B))))),
% quotient(i(i(A)),
% quotient(eta(
% quotient(
% eta(B),
% quotient(A,B))),
% quotient(i(A),
% quotient(eta(B),
% quotient(A,B))))))),A)),
% i(A)),A),j(A)) is composed into [1852]
% difference(j(A),
% quotient(eta(A),
% i(B))) ->
% quotient(eta(A),
% i(quotient(j(i(
% quotient(
% j(
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(
% quotient(
% eta(
% quotient(
% eta(B),
% quotient(A,B))),
% quotient(
% i(A),
% quotient(
% eta(B),
% quotient(A,B))))),
% quotient(
% i(
% i(A)),
% quotient(
% eta(
% quotient(
% eta(B),
% quotient(A,B))),
% quotient(
% i(A),
% quotient(
% eta(B),
% quotient(A,B))))))),A)),
% i(A)))),A))),
% j(A))))
% Rule [1850]
% difference(A,quotient(eta(A),i(quotient(eta(B),i(C))))) ->
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),i(quotient(eta(C),
% quotient(i(A),C))))),
% j(A))),A) is composed into [1850]
% difference(A,
% quotient(eta(A),
% i(quotient(eta(B),
% i(C))))) ->
% quotient(eta(A),
% i(quotient(j(
% quotient(
% i(
% quotient(
% eta(B),
% i(
% quotient(
% eta(C),
% quotient(
% i(A),C))))),
% j(A))),A)))
% Rule [1830]
% difference(quotient(A,quotient(B,A)),quotient(A,quotient(quotient(C,
% quotient(A,B)),A)))
% ->
% quotient(quotient(quotient(eta(quotient(quotient(difference(i(B),A),B),C)),
% quotient(i(quotient(A,quotient(B,A))),quotient(
% quotient(
% difference(
% i(B),A),B),C))),
% quotient(A,B)),A) is composed into [1830]
% difference(quotient(A,
% quotient(B,A)),
% quotient(A,quotient(
% quotient(C,
% quotient(A,B)),A)))
% ->
% quotient(eta(quotient(
% quotient(
% difference(
% i(B),A),B),C)),
% i(quotient(j(i(quotient(
% j(quotient(
% i(quotient(A,
% quotient(B,A))),
% quotient(
% quotient(
% difference(
% i(B),A),B),C))),
% quotient(A,B)))),A)))
% Rule [1808]
% difference(i(i(A)),quotient(eta(A),i(quotient(eta(quotient(eta(A),
% quotient(i(B),A))),
% quotient(i(C),quotient(eta(A),
% quotient(i(B),A)))))))
% ->
% quotient(quotient(eta(B),quotient(i(quotient(eta(C),quotient(i(i(i(A))),C))),B)),
% i(i(A))) is composed into [1808]
% difference(i(i(A)),quotient(eta(A),i(quotient(
% eta(
% quotient(
% eta(A),
% quotient(
% i(B),A))),
% quotient(
% i(C),
% quotient(
% eta(A),
% quotient(
% i(B),A)))))))
% ->
% quotient(eta(B),i(quotient(j(quotient(
% i(quotient(
% eta(C),
% quotient(
% i(i(i(A))),C))),B)),
% i(i(A)))))
% Rule [1774]
% difference(quotient(j(A),quotient(A,j(A))),quotient(j(A),quotient(
% quotient(
% difference(B,
% i(A)),i(
% quotient(A,
% j(A)))),
% j(A)))) ->
% quotient(quotient(quotient(eta(B),quotient(i(quotient(j(A),quotient(A,
% j(A)))),B)),
% i(quotient(A,j(A)))),j(A)) is composed into [1774]
% difference(
% quotient(j(A),
% quotient(A,
% j(A))),quotient(
% j(A),
% quotient(
% quotient(
% difference(B,
% i(A)),
% i(quotient(A,
% j(A)))),
% j(A)))) ->
% quotient(eta(B),
% i(quotient(
% j(i(quotient(
% j(quotient(
% i(quotient(
% j(A),
% quotient(A,
% j(A)))),B)),
% i(quotient(A,
% j(A)))))),
% j(A))))
% Rule [1771]
% difference(j(A),i(i(A))) ->
% quotient(quotient(quotient(quotient(quotient(eta(A),quotient(i(quotient(
% eta(
% quotient(A,
% j(A))),
% quotient(
% i(
% i(A)),
% quotient(A,
% j(A))))),
% j(j(A)))),i(A)),A),A),
% j(A)) is composed into [1771]
% difference(j(A),i(i(A))) ->
% quotient(eta(A),i(quotient(j(i(quotient(j(
% i(
% quotient(
% j(
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% eta(
% quotient(A,
% j(A))),
% quotient(
% i(
% i(A)),
% quotient(A,
% j(A))))),
% j(
% j(A)))),
% i(A)))),A))),A))),
% j(A))))
% Rule [1761]
% difference(quotient(A,quotient(B,A)),quotient(A,quotient(j(quotient(A,B)),A)))
% ->
% quotient(quotient(quotient(eta(quotient(difference(i(B),A),B)),quotient(
% i(
% quotient(A,
% quotient(B,A))),
% quotient(
% difference(
% i(B),A),B))),
% quotient(A,B)),A) is composed into [1761]
% difference(quotient(A,
% quotient(B,A)),
% quotient(A,quotient(
% j(quotient(A,B)),A)))
% ->
% quotient(eta(quotient(
% difference(
% i(B),A),B)),
% i(quotient(j(i(quotient(
% j(quotient(
% i(quotient(A,
% quotient(B,A))),
% quotient(
% difference(
% i(B),A),B))),
% quotient(A,B)))),A)))
% Rule [1760]
% quotient(quotient(A,quotient(quotient(difference(C,quotient(difference(
% i(B),A),B)),
% quotient(A,B)),A)),quotient(A,quotient(B,A)))
% ->
% t(quotient(A,quotient(B,A)),quotient(quotient(quotient(eta(C),quotient(
% i(
% quotient(A,
% quotient(B,A))),C)),
% quotient(A,B)),A)) is composed into
% [1760]
% quotient(quotient(A,quotient(quotient(difference(C,quotient(difference(
% i(B),A),B)),
% quotient(A,B)),A)),quotient(A,quotient(B,A))) ->
% t(quotient(A,quotient(B,A)),quotient(eta(C),i(quotient(j(i(quotient(j(
% quotient(
% i(
% quotient(A,
% quotient(B,A))),C)),
% quotient(A,B)))),A))))
% Rule [1755]
% difference(i(B),quotient(eta(quotient(eta(B),quotient(i(A),i(B)))),
% quotient(B,quotient(eta(B),quotient(i(A),i(B)))))) ->
% quotient(quotient(eta(A),quotient(i(i(quotient(B,j(B)))),A)),i(B)) is composed into
% [1755]
% difference(i(B),quotient(eta(quotient(eta(B),quotient(i(A),i(B)))),quotient(B,
% quotient(
% eta(B),
% quotient(
% i(A),
% i(B))))))
% -> quotient(eta(A),i(quotient(j(quotient(i(i(quotient(B,j(B)))),A)),i(B))))
% Rule [1741]
% quotient(difference(A,j(j(quotient(A,j(A))))),eta(quotient(A,j(A)))) ->
% quotient(quotient(quotient(eta(A),quotient(quotient(i(A),eta(quotient(A,
% j(A)))),A)),A),
% eta(quotient(A,j(A)))) is composed into [1741]
% quotient(difference(A,j(
% j(
% quotient(A,
% j(A))))),
% eta(quotient(A,j(A)))) ->
% quotient(eta(A),i(quotient(
% j(i(quotient(
% j(
% quotient(
% quotient(
% i(A),
% eta(
% quotient(A,
% j(A)))),A)),A))),
% eta(quotient(A,
% j(A))))))
% Rule [1659]
% difference(difference(A,B),t(eta(difference(A,B)),quotient(difference(
% i(A),
% j(quotient(
% i(A),
% eta(
% difference(A,B))))),A)))
% ->
% quotient(quotient(eta(difference(A,B)),quotient(i(B),j(difference(A,B)))),
% difference(A,B)) is composed into [1659]
% difference(difference(A,B),t(eta(
% difference(A,B)),
% quotient(
% difference(
% i(A),
% j(quotient(
% i(A),
% eta(
% difference(A,B))))),A)))
% ->
% quotient(eta(difference(A,B)),
% i(quotient(j(quotient(i(B),j(difference(A,B)))),
% difference(A,B))))
% Rule [1586]
% i(quotient(eta(A),quotient(i(t(quotient(eta(A),B),B)),A))) ->
% quotient(quotient(eta(A),B),A) is composed into [1586]
% i(quotient(eta(A),
% quotient(i(t(quotient(
% eta(A),B),B)),A)))
% ->
% quotient(eta(A),
% i(quotient(j(B),A)))
% Rule [1453]
% difference(A,quotient(eta(B),quotient(i(C),B))) ->
% quotient(quotient(eta(difference(A,B)),quotient(i(quotient(eta(C),
% quotient(i(A),C))),
% difference(A,B))),A) is composed into
% [1453]
% difference(A,quotient(eta(B),quotient(i(C),B))) ->
% quotient(eta(difference(A,B)),i(quotient(j(quotient(i(quotient(eta(C),
% quotient(i(A),C))),
% difference(A,B))),A)))
% Rule [1261]
% difference(A,quotient(eta(A),i(quotient(B,A)))) ->
% quotient(quotient(eta(A),quotient(i(B),j(A))),A) is composed into
% [1261]
% difference(A,quotient(eta(A),i(quotient(B,A)))) ->
% quotient(eta(A),i(quotient(j(quotient(i(B),j(A))),A)))
% Rule [1200]
% quotient(eta(A),quotient(i(quotient(B,eta(C))),A)) <->
% quotient(quotient(eta(A),quotient(i(B),A)),eta(C)) is composed into
% [1200]
% quotient(eta(A),quotient(i(quotient(B,eta(C))),A)) <->
% quotient(eta(A),i(quotient(j(quotient(i(B),A)),eta(C))))
% Rule [18]
% l(A,B,C) ->
% quotient(quotient(quotient(eta(C),quotient(i(quotient(eta(A),quotient(
% i(B),A))),C)),B),A) is composed into
% [18]
% l(A,B,C) ->
% quotient(eta(C),i(quotient(j(i(quotient(j(quotient(i(quotient(eta(A),
% quotient(i(B),A))),C)),B))),A)))
% New rule produced :
% [3443] quotient(quotient(eta(A),B),C) -> quotient(eta(A),i(quotient(j(B),C)))
% Rule [488] quotient(quotient(eta(A),j(eta(B))),B) -> quotient(eta(A),i(i(B)))
% collapsed.
% Rule [588] quotient(quotient(eta(A),j(eta(B))),j(B)) -> quotient(eta(A),i(B))
% collapsed.
% Rule [1114] quotient(quotient(eta(A),quotient(i(B),A)),B) -> A collapsed.
% Rule
% [1142]
% quotient(quotient(eta(A),j(eta(B))),i(B)) -> quotient(eta(A),i(i(i(B))))
% collapsed.
% Rule [1156] quotient(quotient(eta(A),quotient(i(B),A)),t(A,B)) -> t(t(A,B),A)
% collapsed.
% Rule [1198] quotient(quotient(eta(A),quotient(i(B),j(j(A)))),B) -> j(j(A))
% collapsed.
% Rule
% [1199]
% quotient(quotient(eta(A),quotient(i(B),A)),eta(C)) <->
% quotient(eta(A),quotient(i(quotient(B,eta(C))),A)) collapsed.
% Rule
% [1210]
% quotient(quotient(eta(A),quotient(j(B),A)),eta(B)) ->
% quotient(eta(A),quotient(i(B),A)) collapsed.
% Rule
% [1218]
% quotient(quotient(eta(A),quotient(i(i(i(B))),A)),B) -> quotient(A,j(eta(B)))
% collapsed.
% Rule
% [1236] quotient(quotient(eta(A),i(B)),C) -> quotient(eta(A),i(quotient(B,C)))
% collapsed.
% Rule [1245] quotient(quotient(eta(A),j(eta(A))),j(j(j(A)))) -> A collapsed.
% Rule
% [1265]
% quotient(quotient(eta(A),j(eta(A))),i(i(i(i(A))))) -> i(i(i(i(i(i(i(A)))))))
% collapsed.
% Rule
% [1267]
% quotient(quotient(eta(A),j(eta(B))),quotient(eta(A),i(i(B)))) ->
% t(quotient(eta(A),i(i(B))),B) collapsed.
% Rule
% [1353]
% quotient(eta(A),i(quotient(quotient(eta(B),quotient(i(C),B)),quotient(
% eta(A),i(B)))))
% -> t(quotient(eta(A),i(B)),C) collapsed.
% Rule
% [1355]
% quotient(quotient(eta(quotient(A,j(A))),quotient(i(B),quotient(A,j(A)))),A)
% -> t(A,t(A,quotient(eta(B),quotient(i(A),B)))) collapsed.
% Rule
% [1415]
% quotient(quotient(eta(A),j(eta(B))),quotient(eta(A),i(B))) ->
% t(quotient(eta(A),i(B)),j(B)) collapsed.
% Rule
% [1416] quotient(quotient(eta(A),j(eta(B))),j(j(B))) -> quotient(eta(A),B)
% collapsed.
% Rule
% [1419]
% quotient(quotient(eta(A),j(eta(B))),t(quotient(eta(A),i(B)),j(B))) ->
% t(t(quotient(eta(A),i(B)),j(B)),quotient(eta(A),i(B))) collapsed.
% Rule
% [1422]
% quotient(quotient(quotient(eta(A),quotient(i(B),A)),quotient(B,quotient(
% eta(A),
% quotient(
% i(B),A)))),A)
% -> quotient(eta(A),quotient(i(B),A)) collapsed.
% Rule
% [1428]
% quotient(quotient(eta(A),j(eta(B))),t(quotient(eta(A),i(i(B))),B)) ->
% t(t(quotient(eta(A),i(i(B))),B),quotient(eta(A),i(i(B)))) collapsed.
% Rule
% [1443]
% quotient(quotient(quotient(eta(A),j(eta(A))),quotient(j(j(A)),quotient(
% eta(A),
% j(eta(A))))),
% i(A)) -> quotient(eta(A),j(eta(A))) collapsed.
% Rule
% [1447]
% quotient(quotient(eta(quotient(A,j(A))),quotient(i(B),quotient(A,j(A)))),
% t(A,quotient(eta(B),quotient(i(A),B)))) -> A collapsed.
% Rule
% [1450]
% quotient(quotient(quotient(eta(difference(B,C)),quotient(i(A),difference(B,C))),B),
% quotient(A,B)) <->
% quotient(quotient(eta(difference(A,quotient(A,B))),quotient(i(quotient(
% eta(C),
% quotient(
% i(A),C))),
% difference(A,quotient(A,B)))),A)
% collapsed.
% Rule
% [1483]
% difference(B,quotient(quotient(eta(B),quotient(i(A),B)),quotient(A,quotient(
% eta(B),
% quotient(
% i(A),B)))))
% -> quotient(quotient(eta(A),quotient(i(quotient(B,j(B))),A)),B) collapsed.
% Rule
% [1491]
% quotient(eta(A),i(quotient(quotient(quotient(eta(B),quotient(i(C),B)),eta(A)),
% t(eta(A),V_3)))) ->
% t(eta(A),quotient(quotient(eta(B),quotient(i(C),B)),V_3)) collapsed.
% Rule
% [1493]
% quotient(quotient(quotient(eta(A),j(eta(B))),quotient(B,quotient(eta(A),
% j(eta(B))))),
% quotient(eta(A),i(i(B)))) -> quotient(eta(A),j(eta(B))) collapsed.
% Rule
% [1495]
% quotient(quotient(quotient(eta(A),j(eta(B))),quotient(j(B),quotient(eta(A),
% j(eta(B))))),
% quotient(eta(A),i(B))) -> quotient(eta(A),j(eta(B))) collapsed.
% Rule
% [1498]
% quotient(quotient(eta(quotient(B,quotient(eta(C),quotient(i(B),C)))),
% quotient(i(quotient(eta(quotient(eta(C),quotient(i(A),C))),quotient(
% i(B),
% quotient(
% eta(C),
% quotient(
% i(A),C))))),
% quotient(B,quotient(eta(C),quotient(i(B),C))))),B) ->
% quotient(quotient(quotient(eta(A),quotient(i(B),A)),C),quotient(B,C))
% collapsed.
% Rule
% [1499]
% quotient(quotient(eta(A),quotient(i(quotient(B,j(B))),A)),quotient(t(B,
% quotient(
% eta(A),
% quotient(
% i(B),A))),A))
% -> quotient(eta(A),quotient(i(B),A)) collapsed.
% Rule
% [1500]
% quotient(quotient(quotient(eta(difference(difference(B,A),C)),quotient(
% i(A),difference(
% difference(B,A),C))),
% difference(B,A)),B) ->
% quotient(quotient(eta(difference(A,B)),quotient(i(quotient(eta(C),quotient(
% i(A),C))),
% difference(A,B))),A) collapsed.
% Rule
% [1502]
% quotient(eta(A),i(quotient(quotient(eta(B),quotient(i(C),B)),t(quotient(
% eta(A),
% i(B)),C)))) ->
% t(t(quotient(eta(A),i(B)),C),quotient(eta(A),i(B))) collapsed.
% Rule
% [1546]
% t(quotient(eta(A),quotient(i(B),A)),quotient(quotient(quotient(eta(difference(B,C)),
% quotient(i(quotient(
% eta(A),
% quotient(
% i(B),A))),
% difference(B,C))),B),A))
% ->
% quotient(quotient(eta(A),quotient(i(C),A)),quotient(eta(A),quotient(i(B),A)))
% collapsed.
% Rule
% [1562]
% quotient(quotient(quotient(eta(difference(i(A),B)),quotient(i(quotient(
% eta(C),
% quotient(
% i(i(A)),C))),
% difference(i(A),B))),
% i(A)),A) ->
% quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(i(quotient(C,A)),
% quotient(eta(A),quotient(
% i(B),A))))
% collapsed.
% Rule
% [1578]
% quotient(quotient(eta(A),quotient(i(quotient(B,j(B))),A)),quotient(eta(A),
% quotient(i(B),A)))
% ->
% t(quotient(eta(A),quotient(i(B),A)),quotient(t(B,quotient(eta(A),quotient(
% i(B),A))),A))
% collapsed.
% Rule
% [1582]
% quotient(quotient(eta(t(eta(A),B)),t(eta(A),quotient(j(eta(A)),B))),eta(A))
% -> t(eta(A),B) collapsed.
% Rule
% [1633]
% quotient(quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(i(C),
% quotient(eta(A),
% quotient(i(B),A)))),A)
% <->
% t(A,quotient(quotient(eta(B),quotient(i(quotient(eta(C),quotient(i(A),C))),B)),A))
% collapsed.
% Rule
% [1634]
% t(A,quotient(quotient(eta(B),quotient(i(quotient(eta(C),quotient(i(A),C))),B)),A))
% <->
% quotient(quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(i(C),
% quotient(eta(A),
% quotient(i(B),A)))),A)
% collapsed.
% Rule
% [1641]
% quotient(eta(A),i(quotient(eta(B),i(quotient(quotient(eta(B),quotient(
% i(C),j(j(B)))),
% quotient(eta(B),i(C))))))) ->
% quotient(eta(A),i(i(i(B)))) collapsed.
% Rule
% [1650]
% difference(B,quotient(quotient(quotient(quotient(eta(B),quotient(i(A),B)),
% quotient(A,quotient(eta(B),quotient(i(A),B)))),
% eta(B)),B)) -> quotient(A,j(eta(B))) collapsed.
% Rule
% [1666]
% quotient(quotient(quotient(eta(difference(B,C)),quotient(i(quotient(eta(A),
% quotient(i(B),
% i(i(A))))),
% difference(B,C))),B),
% i(i(A))) ->
% quotient(quotient(eta(quotient(quotient(eta(A),quotient(i(B),A)),quotient(
% eta(B),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),B)))),
% quotient(i(quotient(eta(C),quotient(i(quotient(eta(A),quotient(
% i(B),A))),C))),
% quotient(quotient(eta(A),quotient(i(B),A)),quotient(eta(B),quotient(
% i(
% quotient(
% eta(A),
% quotient(
% i(B),A))),B))))),
% quotient(eta(A),quotient(i(B),A))) collapsed.
% Rule
% [1679]
% quotient(quotient(eta(difference(A,B)),quotient(i(quotient(eta(quotient(
% difference(B,A),
% j(difference(B,A)))),
% quotient(i(A),quotient(
% difference(B,A),
% j(difference(B,A)))))),
% difference(A,B))),A) ->
% quotient(t(difference(B,A),A),B) collapsed.
% Rule
% [1680]
% quotient(quotient(quotient(eta(difference(B,C)),quotient(i(A),difference(B,C))),B),
% quotient(A,B)) <->
% quotient(quotient(eta(quotient(A,quotient(eta(B),quotient(i(A),B)))),
% quotient(i(quotient(eta(C),quotient(i(A),C))),quotient(A,quotient(
% eta(B),
% quotient(
% i(A),B))))),A)
% collapsed.
% Rule
% [1681]
% quotient(quotient(eta(quotient(A,quotient(eta(B),quotient(i(A),B)))),
% quotient(i(quotient(eta(C),quotient(i(A),C))),quotient(A,quotient(
% eta(B),
% quotient(
% i(A),B))))),A)
% <->
% quotient(quotient(quotient(eta(difference(B,C)),quotient(i(A),difference(B,C))),B),
% quotient(A,B)) collapsed.
% Rule
% [1692]
% quotient(quotient(eta(quotient(A,quotient(eta(B),quotient(i(A),B)))),
% quotient(i(quotient(eta(quotient(B,j(B))),quotient(i(A),quotient(B,
% j(B))))),
% quotient(A,quotient(eta(B),quotient(i(A),B))))),A) ->
% quotient(t(B,A),quotient(A,B)) collapsed.
% Rule
% [1694]
% quotient(quotient(quotient(eta(difference(C,V_3)),quotient(i(quotient(
% eta(A),i(
% quotient(
% eta(B),
% quotient(
% i(C),B))))),
% difference(C,V_3))),C),
% quotient(eta(A),i(B))) ->
% quotient(quotient(eta(quotient(quotient(eta(B),quotient(i(C),B)),quotient(
% eta(C),
% quotient(
% i(quotient(
% eta(B),
% quotient(
% i(C),B))),C)))),
% quotient(i(quotient(eta(V_3),quotient(i(quotient(eta(B),quotient(
% i(C),B))),V_3))),
% quotient(quotient(eta(B),quotient(i(C),B)),quotient(eta(C),quotient(
% i(
% quotient(
% eta(B),
% quotient(
% i(C),B))),C))))),
% quotient(eta(B),quotient(i(C),B))) collapsed.
% Rule
% [1696]
% quotient(quotient(eta(A),quotient(i(B),A)),quotient(quotient(quotient(
% eta(difference(C,B)),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(C),A))),
% difference(C,B))),C),A))
% -> quotient(eta(A),quotient(i(C),A)) collapsed.
% Rule
% [1723]
% quotient(quotient(quotient(eta(quotient(eta(B),quotient(i(C),B))),quotient(
% i(quotient(A,
% j(A))),
% quotient(
% eta(B),
% quotient(
% i(C),B)))),A),A)
% <->
% quotient(eta(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% quotient(i(quotient(quotient(quotient(eta(C),quotient(i(quotient(A,j(A))),C)),A),A)),
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)))
% collapsed.
% Rule
% [1724]
% quotient(eta(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% quotient(i(quotient(quotient(quotient(eta(C),quotient(i(quotient(A,j(A))),C)),A),A)),
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)))
% <->
% quotient(quotient(quotient(eta(quotient(eta(B),quotient(i(C),B))),quotient(
% i(quotient(A,
% j(A))),
% quotient(
% eta(B),
% quotient(
% i(C),B)))),A),A)
% collapsed.
% Rule
% [1736]
% quotient(quotient(quotient(eta(quotient(B,A)),quotient(i(quotient(B,quotient(A,B))),
% i(quotient(B,A)))),quotient(B,A)),B)
% -> quotient(A,B) collapsed.
% Rule
% [1751]
% quotient(quotient(eta(A),j(eta(B))),t(t(quotient(eta(A),i(B)),j(B)),quotient(
% eta(A),
% i(B))))
% ->
% t(t(t(quotient(eta(A),i(B)),j(B)),quotient(eta(A),i(B))),t(quotient(eta(A),
% i(B)),j(B)))
% collapsed.
% Rule
% [1753]
% quotient(quotient(quotient(eta(difference(i(A),B)),quotient(i(quotient(
% eta(C),
% i(quotient(
% eta(quotient(
% eta(V_3),
% quotient(
% i(A),V_3))),
% quotient(
% i(i(A)),
% quotient(
% eta(V_3),
% quotient(
% i(A),V_3))))))),
% difference(i(A),B))),
% i(A)),A) ->
% quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(i(quotient(eta(C),
% i(V_3))),quotient(
% eta(A),
% quotient(
% i(B),A))))
% collapsed.
% Rule
% [1756]
% quotient(quotient(eta(A),quotient(i(quotient(eta(quotient(B,j(B))),quotient(
% i(B),
% quotient(B,
% j(B))))),A)),B)
% ->
% quotient(quotient(eta(A),quotient(i(quotient(quotient(B,j(B)),i(B))),A)),B)
% collapsed.
% Rule
% [1762]
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(C),B))),A)),
% quotient(quotient(quotient(eta(C),quotient(i(quotient(eta(A),quotient(i(B),A))),C)),B),A))
% -> quotient(eta(A),quotient(i(B),A)) collapsed.
% Rule
% [1770]
% quotient(quotient(eta(A),quotient(i(i(i(B))),j(j(A)))),B) ->
% quotient(eta(A),quotient(j(eta(B)),j(j(A)))) collapsed.
% Rule
% [1772]
% quotient(quotient(eta(A),j(eta(B))),t(t(quotient(eta(A),i(i(B))),B),quotient(
% eta(A),
% i(
% i(B)))))
% ->
% t(t(t(quotient(eta(A),i(i(B))),B),quotient(eta(A),i(i(B)))),t(quotient(
% eta(A),
% i(i(B))),B))
% collapsed.
% Rule
% [1775]
% quotient(quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(i(C),
% quotient(eta(A),
% quotient(i(B),A)))),
% quotient(quotient(eta(B),quotient(i(quotient(eta(C),quotient(i(A),C))),B)),A))
% -> A collapsed.
% Rule
% [1776]
% t(quotient(eta(A),quotient(i(B),A)),quotient(quotient(quotient(eta(C),
% quotient(i(quotient(
% eta(A),
% quotient(
% i(B),A))),C)),B),A))
% <->
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(C),B))),A)),
% quotient(eta(A),quotient(i(B),A))) collapsed.
% Rule
% [1777]
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(C),B))),A)),
% quotient(eta(A),quotient(i(B),A))) <->
% t(quotient(eta(A),quotient(i(B),A)),quotient(quotient(quotient(eta(C),
% quotient(i(quotient(
% eta(A),
% quotient(
% i(B),A))),C)),B),A))
% collapsed.
% Rule
% [1780]
% quotient(quotient(quotient(eta(difference(B,C)),quotient(i(quotient(eta(
% quotient(
% eta(V_3),
% quotient(
% i(A),V_3))),
% quotient(i(B),
% quotient(eta(V_3),
% quotient(i(A),V_3))))),
% difference(B,C))),B),A) <->
% quotient(quotient(eta(quotient(quotient(eta(quotient(quotient(eta(A),
% quotient(i(B),A)),
% quotient(eta(B),quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),B)))),
% quotient(i(quotient(eta(C),quotient(i(
% quotient(
% eta(A),
% quotient(
% i(B),A))),C))),
% quotient(quotient(eta(A),quotient(i(B),A)),
% quotient(eta(B),quotient(i(quotient(eta(A),
% quotient(i(B),A))),B))))),
% quotient(eta(A),quotient(i(B),A)))),quotient(i(
% quotient(
% eta(V_3),
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% i(B),A))),V_3))),
% quotient(quotient(
% eta(
% quotient(
% quotient(
% eta(A),
% quotient(
% i(B),A)),
% quotient(
% eta(B),
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% i(B),A))),B)))),
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% i(B),A))),C))),
% quotient(
% quotient(
% eta(A),
% quotient(
% i(B),A)),
% quotient(
% eta(B),
% quotient(
% i(
% quotient(
% eta(A),
% quotient(
% i(B),A))),B))))),
% quotient(eta(A),
% quotient(i(B),A))))),
% quotient(eta(A),quotient(i(B),A))) collapsed.
% Rule
% [1798]
% quotient(eta(A),i(quotient(quotient(quotient(quotient(eta(A),quotient(i(B),A)),
% quotient(B,quotient(eta(A),quotient(
% i(B),A)))),
% eta(A)),A))) ->
% quotient(eta(A),quotient(i(quotient(B,j(eta(A)))),i(i(A)))) collapsed.
% Rule
% [1799]
% quotient(eta(quotient(eta(quotient(quotient(eta(difference(A,B)),quotient(
% i(quotient(
% eta(C),
% quotient(
% i(A),C))),
% difference(A,B))),A)),
% quotient(i(B),quotient(quotient(eta(difference(A,B)),quotient(
% i(quotient(
% eta(C),
% quotient(
% i(A),C))),
% difference(A,B))),A)))),
% quotient(i(quotient(C,quotient(quotient(eta(difference(A,B)),quotient(
% i(quotient(
% eta(C),
% quotient(
% i(A),C))),
% difference(A,B))),A))),
% quotient(eta(quotient(quotient(eta(difference(A,B)),quotient(i(quotient(
% eta(C),
% quotient(
% i(A),C))),
% difference(A,B))),A)),
% quotient(i(B),quotient(quotient(eta(difference(A,B)),quotient(i(quotient(
% eta(C),
% quotient(
% i(A),C))),
% difference(A,B))),A)))))
% ->
% quotient(eta(difference(A,B)),quotient(i(quotient(eta(C),quotient(i(A),C))),
% difference(A,B))) collapsed.
% Rule
% [1801]
% quotient(eta(A),i(quotient(quotient(quotient(eta(B),quotient(i(C),B)),
% quotient(C,quotient(eta(A),i(quotient(eta(B),
% quotient(i(C),B)))))),
% quotient(eta(A),i(B))))) ->
% quotient(eta(A),i(quotient(eta(B),quotient(i(C),B)))) collapsed.
% Rule
% [1807]
% quotient(quotient(A,quotient(quotient(difference(B,quotient(difference(
% i(C),A),C)),
% quotient(A,C)),A)),quotient(quotient(quotient(
% eta(B),
% quotient(
% i(quotient(A,
% quotient(C,A))),B)),
% quotient(A,C)),A))
% -> quotient(A,quotient(C,A)) collapsed.
% Rule
% [1814]
% quotient(quotient(quotient(quotient(eta(A),quotient(i(quotient(eta(quotient(
% eta(B),
% quotient(
% i(A),B))),
% quotient(i(i(A)),
% quotient(eta(B),
% quotient(i(A),B))))),
% j(j(A)))),i(A)),A),j(j(j(j(A)))))
% -> t(j(j(j(j(A)))),B) collapsed.
% Rule
% [1835]
% quotient(eta(A),i(quotient(quotient(eta(t(quotient(i(B),C),C)),quotient(
% t(t(quotient(
% i(B),C),C),
% quotient(
% i(B),C)),
% eta(t(
% quotient(
% i(B),C),C)))),B)))
% -> quotient(eta(A),i(i(i(t(quotient(i(B),C),C))))) collapsed.
% Rule
% [1840]
% quotient(quotient(quotient(eta(difference(quotient(quotient(eta(B),quotient(
% i(
% quotient(
% eta(C),
% quotient(
% i(A),C))),B)),A),V_3)),
% quotient(i(quotient(eta(A),quotient(i(quotient(quotient(
% eta(B),
% quotient(
% i(quotient(
% eta(C),
% quotient(
% i(A),C))),B)),A)),A))),
% difference(quotient(quotient(eta(B),quotient(i(quotient(
% eta(C),
% quotient(
% i(A),C))),B)),A),V_3))),
% quotient(quotient(eta(B),quotient(i(quotient(eta(C),quotient(i(A),C))),B)),A)),A)
% ->
% quotient(quotient(eta(quotient(quotient(eta(quotient(eta(A),quotient(i(B),A))),
% quotient(i(C),quotient(eta(A),quotient(i(B),A)))),
% quotient(eta(difference(A,quotient(eta(quotient(
% eta(A),quotient(
% i(B),A))),
% quotient(i(C),quotient(
% eta(A),
% quotient(
% i(B),A)))))),
% quotient(i(quotient(eta(quotient(eta(A),quotient(
% i(B),A))),
% quotient(i(C),quotient(eta(A),quotient(
% i(B),A))))),
% difference(A,quotient(eta(quotient(eta(A),quotient(
% i(B),A))),
% quotient(i(C),quotient(eta(A),quotient(
% i(B),A))))))))),
% quotient(i(quotient(eta(V_3),quotient(i(quotient(eta(quotient(
% eta(A),
% quotient(
% i(B),A))),
% quotient(i(C),quotient(
% eta(A),
% quotient(
% i(B),A))))),V_3))),
% quotient(quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(
% i(C),
% quotient(
% eta(A),
% quotient(
% i(B),A)))),
% quotient(eta(difference(A,quotient(eta(quotient(eta(A),quotient(
% i(B),A))),
% quotient(i(C),quotient(eta(A),quotient(
% i(B),A)))))),
% quotient(i(quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(
% i(C),
% quotient(
% eta(A),
% quotient(
% i(B),A))))),
% difference(A,quotient(eta(quotient(eta(A),quotient(i(B),A))),
% quotient(i(C),quotient(eta(A),quotient(i(B),A)))))))))),
% quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(i(C),quotient(
% eta(A),
% quotient(
% i(B),A)))))
% collapsed.
% Rule
% [1845]
% quotient(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A),
% j(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)))
% ->
% quotient(quotient(quotient(eta(quotient(B,j(B))),quotient(i(quotient(A,j(A))),
% quotient(B,j(B)))),A),A)
% collapsed.
% Rule
% [1848]
% quotient(quotient(eta(C),quotient(i(quotient(eta(V_3),quotient(i(quotient(
% eta(A),
% i(B))),V_3))),C)),
% quotient(eta(A),i(B))) ->
% quotient(quotient(eta(C),quotient(i(quotient(eta(V_3),quotient(i(B),V_3))),C)),B)
% collapsed.
% Rule
% [1849]
% difference(B,quotient(quotient(quotient(quotient(eta(difference(i(C),
% difference(C,B))),
% quotient(i(quotient(eta(A),quotient(
% i(
% i(C)),A))),
% difference(i(C),difference(C,B)))),
% i(C)),i(C)),C)) ->
% quotient(quotient(quotient(eta(A),quotient(i(B),A)),difference(C,B)),C)
% collapsed.
% Rule
% [1856]
% quotient(eta(A),i(quotient(eta(B),i(quotient(quotient(quotient(C,i(B)),
% quotient(quotient(quotient(
% eta(B),
% quotient(
% i(C),B)),
% i(B)),quotient(
% eta(B),i(
% quotient(C,
% i(B)))))),
% i(B)))))) ->
% quotient(eta(A),i(quotient(eta(B),i(quotient(C,i(B)))))) collapsed.
% Rule
% [1857]
% quotient(quotient(quotient(eta(A),quotient(i(quotient(eta(B),i(quotient(
% eta(C),
% quotient(
% i(V_3),C))))),A)),V_3),
% quotient(eta(B),i(C))) <->
% quotient(quotient(eta(quotient(quotient(eta(C),quotient(i(V_3),C)),quotient(
% eta(V_3),
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% i(V_3),C))),V_3)))),
% quotient(i(quotient(eta(quotient(eta(V_3),quotient(i(A),V_3))),
% quotient(i(quotient(eta(C),quotient(i(V_3),C))),quotient(
% eta(V_3),
% quotient(
% i(A),V_3))))),
% quotient(quotient(eta(C),quotient(i(V_3),C)),quotient(eta(V_3),
% quotient(i(quotient(
% eta(C),
% quotient(
% i(V_3),C))),V_3))))),
% quotient(eta(C),quotient(i(V_3),C))) collapsed.
% Rule
% [1861]
% quotient(quotient(quotient(quotient(eta(quotient(eta(B),quotient(i(C),B))),
% quotient(i(quotient(A,j(A))),quotient(eta(B),
% quotient(i(C),B)))),A),A),
% quotient(quotient(quotient(eta(C),quotient(i(quotient(A,j(A))),C)),A),A)) ->
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)
% collapsed.
% Rule
% [1862]
% difference(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A),
% quotient(quotient(quotient(eta(quotient(eta(B),quotient(i(C),B))),quotient(
% i(quotient(A,
% j(A))),
% quotient(
% eta(B),
% quotient(
% i(C),B)))),A),A))
% -> quotient(quotient(quotient(eta(C),quotient(i(quotient(A,j(A))),C)),A),A)
% collapsed.
% Rule
% [1886]
% quotient(eta(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% quotient(A,quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)))
% ->
% quotient(quotient(quotient(eta(quotient(eta(B),quotient(i(i(A)),B))),
% quotient(i(quotient(A,j(A))),quotient(eta(B),quotient(
% i(i(A)),B)))),A),A)
% collapsed.
% Rule
% [1890]
% quotient(quotient(quotient(eta(t(eta(A),difference(i(B),C))),quotient(
% i(quotient(
% eta(quotient(
% eta(V_3),
% quotient(
% i(
% t(
% eta(A),B)),V_3))),
% quotient(
% i(i(t(
% eta(A),B))),
% quotient(
% eta(V_3),
% quotient(
% i(t(eta(A),B)),V_3))))),
% t(eta(A),
% difference(
% i(B),C)))),
% i(t(eta(A),B))),t(eta(A),B)) ->
% quotient(eta(t(eta(A),quotient(eta(B),quotient(i(C),B)))),quotient(i(V_3),
% t(eta(A),quotient(
% eta(B),
% quotient(
% i(C),B)))))
% collapsed.
% Rule
% [1895]
% quotient(eta(B),i(quotient(quotient(C,i(B)),quotient(quotient(quotient(
% eta(B),
% quotient(
% i(C),B)),
% i(B)),quotient(eta(B),
% i(quotient(C,i(B))))))))
% -> quotient(eta(B),i(C)) collapsed.
% Rule
% [1899]
% quotient(eta(A),i(quotient(eta(B),quotient(i(quotient(quotient(eta(C),
% quotient(i(quotient(
% eta(V_3),
% quotient(
% i(B),V_3))),C)),B)),B))))
% ->
% quotient(eta(A),i(quotient(eta(quotient(eta(B),quotient(i(C),B))),quotient(
% i(V_3),
% quotient(
% eta(B),
% quotient(
% i(C),B))))))
% collapsed.
% Rule
% [1908]
% quotient(eta(difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A)))),
% quotient(i(quotient(quotient(quotient(eta(quotient(A,B)),quotient(i(quotient(A,
% j(A))),
% i(quotient(A,B)))),A),A)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A))))) -> one
% collapsed.
% Rule
% [1917]
% quotient(quotient(quotient(quotient(eta(quotient(eta(B),quotient(i(C),B))),
% quotient(i(quotient(A,j(A))),quotient(eta(B),
% quotient(i(C),B)))),A),A),
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)) ->
% t(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A),
% quotient(quotient(quotient(eta(C),quotient(i(quotient(A,j(A))),C)),A),A))
% collapsed.
% Rule
% [1918]
% quotient(difference(C,quotient(quotient(eta(C),quotient(i(V_3),C)),quotient(
% quotient(
% quotient(
% eta(
% difference(A,C)),
% quotient(
% i(
% quotient(
% eta(V_3),
% quotient(
% i(A),V_3))),
% difference(A,C))),A),
% quotient(
% eta(C),
% quotient(
% i(V_3),C))))),A)
% ->
% quotient(quotient(quotient(eta(V_3),quotient(i(quotient(eta(A),quotient(
% i(C),A))),V_3)),C),A)
% collapsed.
% Rule
% [1919]
% quotient(quotient(eta(difference(B,quotient(difference(i(B),quotient(
% eta(A),i(
% quotient(B,
% j(B))))),B))),
% quotient(i(quotient(eta(C),quotient(i(B),C))),difference(B,quotient(
% difference(
% i(B),
% quotient(
% eta(A),
% i(
% quotient(B,
% j(B))))),B)))),B)
% ->
% t(quotient(eta(A),i(B)),quotient(eta(C),quotient(i(quotient(eta(A),i(B))),C)))
% collapsed.
% Rule
% [1920]
% quotient(quotient(eta(quotient(quotient(quotient(eta(difference(C,A)),
% quotient(i(quotient(eta(B),quotient(
% i(C),B))),
% difference(C,A))),C),quotient(
% eta(A),quotient(
% i(B),A)))),
% quotient(i(quotient(eta(V_3),quotient(i(quotient(eta(quotient(
% eta(A),
% quotient(
% i(B),A))),
% quotient(i(C),quotient(
% eta(A),
% quotient(
% i(B),A))))),V_3))),
% quotient(quotient(quotient(eta(difference(C,A)),quotient(i(quotient(
% eta(B),
% quotient(
% i(C),B))),
% difference(C,A))),C),
% quotient(eta(A),quotient(i(B),A))))),quotient(eta(quotient(eta(A),
% quotient(i(B),A))),
% quotient(i(C),quotient(
% eta(A),quotient(
% i(B),A)))))
% <->
% quotient(quotient(quotient(eta(difference(C,V_3)),quotient(i(quotient(
% eta(quotient(
% eta(A),
% quotient(
% i(B),A))),
% quotient(
% i(C),quotient(
% eta(A),
% quotient(
% i(B),A))))),
% difference(C,V_3))),C),
% quotient(eta(A),quotient(i(B),A))) collapsed.
% Rule
% [1921]
% quotient(quotient(quotient(eta(difference(C,V_3)),quotient(i(quotient(
% eta(quotient(
% eta(A),
% quotient(
% i(B),A))),
% quotient(
% i(C),quotient(
% eta(A),
% quotient(
% i(B),A))))),
% difference(C,V_3))),C),
% quotient(eta(A),quotient(i(B),A))) <->
% quotient(quotient(eta(quotient(quotient(quotient(eta(difference(C,A)),
% quotient(i(quotient(eta(B),quotient(
% i(C),B))),
% difference(C,A))),C),quotient(
% eta(A),quotient(
% i(B),A)))),
% quotient(i(quotient(eta(V_3),quotient(i(quotient(eta(quotient(
% eta(A),
% quotient(
% i(B),A))),
% quotient(i(C),quotient(
% eta(A),
% quotient(
% i(B),A))))),V_3))),
% quotient(quotient(quotient(eta(difference(C,A)),quotient(i(quotient(
% eta(B),
% quotient(
% i(C),B))),
% difference(C,A))),C),
% quotient(eta(A),quotient(i(B),A))))),quotient(eta(quotient(eta(A),
% quotient(i(B),A))),
% quotient(i(C),quotient(
% eta(A),quotient(
% i(B),A)))))
% collapsed.
% Rule
% [1923]
% quotient(eta(A),quotient(i(quotient(quotient(quotient(eta(B),quotient(
% i(quotient(A,
% j(A))),B)),A),A)),
% j(A))) <->
% quotient(quotient(quotient(eta(quotient(eta(A),quotient(i(B),i(A)))),
% quotient(i(quotient(A,j(A))),quotient(eta(A),quotient(
% i(B),i(A))))),A),A)
% collapsed.
% Rule
% [1924]
% quotient(quotient(quotient(eta(quotient(eta(A),quotient(i(B),i(A)))),
% quotient(i(quotient(A,j(A))),quotient(eta(A),quotient(
% i(B),i(A))))),A),A)
% <->
% quotient(eta(A),quotient(i(quotient(quotient(quotient(eta(B),quotient(
% i(quotient(A,
% j(A))),B)),A),A)),
% j(A))) collapsed.
% Rule
% [1930]
% quotient(quotient(quotient(eta(quotient(quotient(eta(difference(i(A),B)),
% quotient(i(quotient(eta(C),quotient(
% i(
% i(A)),C))),
% difference(i(A),B))),i(A))),quotient(
% i(
% quotient(
% eta(
% quotient(
% eta(V_3),
% quotient(
% i(A),V_3))),
% quotient(
% i(
% i(A)),
% quotient(
% eta(V_3),
% quotient(
% i(A),V_3))))),
% quotient(
% quotient(
% eta(
% difference(
% i(A),B)),
% quotient(
% i(
% quotient(
% eta(C),
% quotient(
% i(
% i(A)),C))),
% difference(
% i(A),B))),
% i(A)))),
% i(A)),A) ->
% quotient(eta(quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(C),B))),A))),
% quotient(i(V_3),quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(C),B))),A))))
% collapsed.
% Rule
% [1941]
% quotient(difference(i(B),quotient(quotient(eta(C),quotient(i(quotient(A,B)),C)),
% quotient(quotient(quotient(eta(difference(B,C)),
% quotient(i(A),difference(B,C))),B),
% quotient(eta(C),quotient(i(quotient(A,B)),C))))),B)
% ->
% quotient(eta(B),quotient(i(quotient(eta(C),quotient(i(quotient(A,B)),C))),B))
% collapsed.
% Rule
% [1944]
% quotient(quotient(quotient(difference(i(A),quotient(eta(B),i(quotient(
% quotient(
% eta(B),quotient(
% i(
% i(A)),B)),
% quotient(
% quotient(
% quotient(
% eta(difference(
% quotient(
% eta(x1),
% quotient(
% i(A),x1)),B)),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(quotient(
% eta(x1),
% quotient(
% i(A),x1))),
% i(A)))),
% difference(
% quotient(
% eta(x1),
% quotient(
% i(A),x1)),B))),
% quotient(
% eta(x1),
% quotient(
% i(A),x1))),
% quotient(
% eta(B),quotient(
% i(
% i(A)),B))))))),A),x1),
% i(A)) ->
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(i(A)),i(i(B))))),A)),
% i(A)) collapsed.
% Rule
% [1946]
% quotient(quotient(eta(A),j(eta(B))),t(t(t(quotient(eta(A),i(B)),j(B)),
% quotient(eta(A),i(B))),t(quotient(
% eta(A),
% i(B)),
% j(B)))) ->
% t(t(t(t(quotient(eta(A),i(B)),j(B)),quotient(eta(A),i(B))),t(quotient(
% eta(A),i(B)),
% j(B))),t(t(
% quotient(
% eta(A),
% i(B)),
% j(B)),
% quotient(
% eta(A),
% i(B))))
% collapsed.
% Rule
% [1947]
% quotient(quotient(quotient(eta(difference(B,C)),quotient(i(quotient(eta(A),
% quotient(i(B),A))),
% difference(B,C))),B),A) ->
% quotient(quotient(eta(quotient(quotient(eta(A),quotient(i(B),A)),quotient(
% eta(B),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),B)))),
% quotient(i(quotient(eta(C),quotient(i(quotient(eta(A),quotient(
% i(B),A))),C))),
% quotient(quotient(eta(A),quotient(i(B),A)),quotient(eta(B),quotient(
% i(
% quotient(
% eta(A),
% quotient(
% i(B),A))),B))))),
% quotient(eta(A),quotient(i(B),A))) collapsed.
% Rule
% [1950]
% quotient(quotient(quotient(eta(quotient(eta(difference(A,B)),quotient(
% i(C),difference(A,B)))),
% quotient(i(quotient(A,j(A))),quotient(eta(difference(A,B)),
% quotient(i(C),difference(A,B))))),A),A)
% <->
% quotient(eta(quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(
% i(quotient(A,
% j(A))),B))),
% j(A))),quotient(A,j(A)))),quotient(
% i(quotient(
% quotient(
% quotient(
% eta(C),
% quotient(
% i(quotient(A,
% j(A))),C)),A),A)),
% quotient(
% quotient(
% eta(A),
% quotient(
% i(quotient(
% eta(B),
% quotient(
% i(quotient(A,
% j(A))),B))),
% j(A))),
% quotient(A,
% j(A)))))
% collapsed.
% Rule
% [1951]
% quotient(eta(quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(
% i(quotient(A,
% j(A))),B))),
% j(A))),quotient(A,j(A)))),quotient(
% i(quotient(
% quotient(
% quotient(
% eta(C),
% quotient(
% i(quotient(A,
% j(A))),C)),A),A)),
% quotient(
% quotient(
% eta(A),
% quotient(
% i(quotient(
% eta(B),
% quotient(
% i(quotient(A,
% j(A))),B))),
% j(A))),
% quotient(A,
% j(A))))) <->
% quotient(quotient(quotient(eta(quotient(eta(difference(A,B)),quotient(
% i(C),difference(A,B)))),
% quotient(i(quotient(A,j(A))),quotient(eta(difference(A,B)),
% quotient(i(C),difference(A,B))))),A),A)
% collapsed.
% Rule
% [1952]
% quotient(eta(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% quotient(i(difference(quotient(A,j(A)),quotient(A,i(quotient(A,j(A)))))),
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A))) ->
% quotient(quotient(quotient(eta(quotient(eta(B),quotient(i(A),B))),quotient(
% i(quotient(A,
% j(A))),
% quotient(
% eta(B),
% quotient(
% i(A),B)))),A),A)
% collapsed.
% Rule
% [1957]
% difference(A,quotient(quotient(eta(A),quotient(i(B),A)),j(quotient(eta(A),
% quotient(i(B),A)))))
% ->
% quotient(quotient(eta(B),quotient(i(quotient(quotient(eta(A),quotient(i(B),A)),
% quotient(B,quotient(eta(A),quotient(
% i(B),A))))),B)),A)
% collapsed.
% Rule
% [1958]
% quotient(eta(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% quotient(i(difference(quotient(A,j(A)),quotient(A,quotient(quotient(C,A),A)))),
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)))
% <->
% quotient(quotient(quotient(eta(quotient(eta(B),quotient(i(quotient(A,C)),B))),
% quotient(i(quotient(A,j(A))),quotient(eta(B),quotient(
% i(quotient(A,C)),B)))),A),A)
% collapsed.
% Rule
% [1959]
% quotient(quotient(quotient(eta(quotient(eta(B),quotient(i(quotient(A,C)),B))),
% quotient(i(quotient(A,j(A))),quotient(eta(B),quotient(
% i(quotient(A,C)),B)))),A),A)
% <->
% quotient(eta(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% quotient(i(difference(quotient(A,j(A)),quotient(A,quotient(quotient(C,A),A)))),
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)))
% collapsed.
% Rule
% [1965]
% quotient(quotient(eta(A),j(eta(B))),t(t(t(quotient(eta(A),i(i(B))),B),
% quotient(eta(A),i(i(B)))),t(quotient(
% eta(A),
% i(i(B))),B)))
% ->
% t(t(t(t(quotient(eta(A),i(i(B))),B),quotient(eta(A),i(i(B)))),t(quotient(
% eta(A),
% i(i(B))),B)),
% t(t(quotient(eta(A),i(i(B))),B),quotient(eta(A),i(i(B))))) collapsed.
% Rule
% [1973]
% difference(t(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A),
% quotient(quotient(quotient(eta(C),quotient(i(quotient(A,j(A))),C)),A),A)),
% quotient(quotient(quotient(eta(quotient(eta(B),quotient(i(C),B))),quotient(
% i(quotient(A,
% j(A))),
% quotient(
% eta(B),
% quotient(
% i(C),B)))),A),A))
% -> quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)
% collapsed.
% Rule
% [1976]
% quotient(eta(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% quotient(i(difference(quotient(A,j(A)),quotient(A,quotient(t(A,quotient(A,
% quotient(
% eta(C),
% quotient(
% i(A),C)))),A)))),
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)))
% <->
% quotient(quotient(quotient(eta(quotient(eta(B),quotient(i(t(quotient(A,C),C)),B))),
% quotient(i(quotient(A,j(A))),quotient(eta(B),quotient(
% i(t(quotient(A,C),C)),B)))),A),A)
% collapsed.
% Rule
% [1977]
% quotient(quotient(quotient(eta(quotient(eta(B),quotient(i(t(quotient(A,C),C)),B))),
% quotient(i(quotient(A,j(A))),quotient(eta(B),quotient(
% i(t(quotient(A,C),C)),B)))),A),A)
% <->
% quotient(eta(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% quotient(i(difference(quotient(A,j(A)),quotient(A,quotient(t(A,quotient(A,
% quotient(
% eta(C),
% quotient(
% i(A),C)))),A)))),
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)))
% collapsed.
% Rule
% [1979]
% difference(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A),
% quotient(quotient(quotient(eta(quotient(eta(quotient(B,j(B))),quotient(
% i(C),quotient(B,
% j(B))))),
% quotient(i(quotient(A,j(A))),quotient(eta(quotient(B,j(B))),
% quotient(i(C),quotient(B,j(B)))))),A),A))
% ->
% t(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A),
% quotient(quotient(quotient(eta(quotient(eta(C),quotient(i(B),C))),quotient(
% i(quotient(A,
% j(A))),
% quotient(
% eta(C),
% quotient(
% i(B),C)))),A),A))
% collapsed.
% Rule
% [1980]
% difference(quotient(A,t(A,quotient(A,quotient(eta(B),quotient(i(A),B))))),
% quotient(quotient(quotient(quotient(eta(difference(i(A),t(quotient(A,B),B))),
% quotient(i(quotient(eta(C),quotient(i(i(A)),C))),
% difference(i(A),t(quotient(A,B),B)))),i(A)),
% i(A)),A)) ->
% quotient(quotient(quotient(eta(C),quotient(i(quotient(A,t(A,quotient(A,
% quotient(
% eta(B),quotient(
% i(A),B)))))),C)),
% t(quotient(A,B),B)),A) collapsed.
% Rule
% [1983]
% t(quotient(A,j(A)),quotient(eta(difference(quotient(A,j(A)),quotient(A,
% quotient(
% quotient(B,A),A)))),
% quotient(i(quotient(quotient(quotient(eta(C),quotient(
% i(quotient(A,
% j(A))),C)),A),A)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A))))))
% <->
% quotient(quotient(A,quotient(quotient(quotient(difference(C,quotient(
% difference(
% i(B),A),B)),
% quotient(A,B)),A),A)),quotient(A,j(A)))
% collapsed.
% Rule
% [1986]
% quotient(eta(quotient(quotient(quotient(eta(C),quotient(i(quotient(A,j(A))),C)),A),A)),
% quotient(i(quotient(quotient(quotient(eta(difference(C,B)),quotient(i(
% quotient(A,
% j(A))),
% difference(C,B))),A),A)),
% quotient(quotient(quotient(eta(C),quotient(i(quotient(A,j(A))),C)),A),A))) ->
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)
% collapsed.
% Rule
% [1987]
% quotient(quotient(quotient(eta(difference(A,quotient(quotient(A,j(A)),
% j(quotient(A,j(A)))))),quotient(
% i(
% quotient(
% eta(
% quotient(B,
% quotient(A,
% j(A)))),
% quotient(
% i(A),
% quotient(B,
% quotient(A,
% j(A)))))),
% difference(A,
% quotient(
% quotient(A,
% j(A)),
% j(
% quotient(A,
% j(A))))))),A),
% t(quotient(A,j(A)),B)) ->
% quotient(t(A,quotient(eta(t(quotient(A,j(A)),B)),quotient(i(A),t(quotient(A,
% j(A)),B)))),
% t(quotient(A,j(A)),B)) collapsed.
% Rule
% [1991]
% quotient(eta(difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A)))),
% quotient(i(quotient(quotient(quotient(eta(quotient(difference(i(B),A),B)),
% quotient(i(quotient(A,j(A))),quotient(difference(
% i(B),A),B))),A),A)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(B,A),A))))) <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(j(quotient(A,B)),A),A)))
% collapsed.
% Rule
% [1995]
% quotient(eta(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),
% j(j(B)))),A),A)),quotient(
% i(quotient(
% quotient(
% quotient(
% eta(B),
% quotient(
% i(quotient(A,
% j(A))),B)),A),A)),
% quotient(
% quotient(
% quotient(
% eta(B),
% quotient(
% i(quotient(A,
% j(A))),
% j(j(B)))),A),A)))
% <->
% quotient(quotient(quotient(eta(quotient(j(B),j(j(B)))),quotient(i(quotient(A,
% j(A))),
% j(t(B,i(quotient(B,
% j(B))))))),A),A)
% collapsed.
% Rule
% [2002]
% quotient(eta(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)),
% quotient(i(quotient(quotient(quotient(eta(quotient(B,C)),quotient(i(quotient(A,
% j(A))),
% quotient(B,C))),A),A)),
% quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A))) ->
% quotient(quotient(quotient(eta(quotient(B,quotient(C,B))),quotient(i(
% quotient(A,
% j(A))),
% quotient(B,
% quotient(C,B)))),A),A)
% collapsed.
% Rule
% [2004]
% quotient(quotient(eta(quotient(quotient(quotient(eta(difference(C,A)),
% quotient(i(quotient(eta(B),quotient(
% i(C),B))),
% difference(C,A))),C),quotient(
% eta(A),quotient(
% i(B),A)))),
% quotient(i(quotient(eta(quotient(eta(C),quotient(i(V_3),C))),
% quotient(i(quotient(eta(quotient(eta(A),quotient(i(B),A))),
% quotient(i(C),quotient(eta(A),quotient(i(B),A))))),
% quotient(eta(C),quotient(i(V_3),C))))),quotient(quotient(
% quotient(
% eta(
% difference(C,A)),
% quotient(
% i(
% quotient(
% eta(B),
% quotient(
% i(C),B))),
% difference(C,A))),C),
% quotient(eta(A),
% quotient(i(B),A))))),
% quotient(eta(quotient(eta(A),quotient(i(B),A))),quotient(i(C),quotient(
% eta(A),
% quotient(
% i(B),A))))) ->
% quotient(quotient(quotient(eta(V_3),quotient(i(quotient(eta(quotient(
% eta(A),quotient(
% i(B),A))),
% quotient(i(C),quotient(
% eta(A),quotient(
% i(B),A))))),V_3)),C),
% quotient(eta(A),quotient(i(B),A))) collapsed.
% Rule
% [2007]
% quotient(quotient(difference(i(B),quotient(quotient(eta(A),quotient(i(B),A)),
% quotient(quotient(quotient(eta(difference(B,A)),
% quotient(i(quotient(B,
% j(B))),
% difference(B,A))),B),
% quotient(eta(A),quotient(i(B),A))))),B),A)
% <->
% difference(A,quotient(quotient(eta(A),quotient(i(B),A)),t(quotient(eta(A),
% quotient(i(B),A)),
% quotient(quotient(
% eta(A),
% quotient(
% i(B),A)),
% quotient(eta(B),
% quotient(i(quotient(
% eta(A),
% quotient(
% i(B),A))),B))))))
% collapsed.
% Rule
% [2009]
% difference(t(B,C),quotient(quotient(eta(t(B,C)),quotient(i(A),t(B,C))),
% quotient(quotient(quotient(quotient(eta(difference(B,A)),
% quotient(i(quotient(eta(B),
% quotient(i(C),B))),
% difference(B,A))),B),t(B,C)),
% quotient(eta(t(B,C)),quotient(i(A),t(B,C)))))) ->
% quotient(quotient(eta(A),quotient(i(quotient(quotient(eta(B),quotient(i(C),B)),
% t(quotient(eta(B),quotient(i(C),B)),
% quotient(quotient(eta(B),quotient(i(C),B)),
% quotient(eta(C),quotient(i(quotient(
% eta(B),
% quotient(
% i(C),B))),C)))))),A)),
% t(B,C)) collapsed.
% Rule
% [2011]
% quotient(eta(quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),
% j(B))),A),A)),quotient(
% i(quotient(
% quotient(
% quotient(
% eta(B),
% quotient(
% i(quotient(A,
% j(A))),
% i(B))),A),A)),
% quotient(
% quotient(
% quotient(
% eta(B),quotient(
% i(
% quotient(A,
% j(A))),
% j(B))),A),A)))
% ->
% quotient(quotient(quotient(eta(quotient(B,j(B))),quotient(i(quotient(A,j(A))),
% i(quotient(B,j(B))))),A),A)
% collapsed.
% Rule
% [2013]
% quotient(quotient(A,quotient(quotient(quotient(difference(B,quotient(
% difference(
% i(C),A),C)),
% quotient(A,C)),A),A)),quotient(
% eta(difference(
% quotient(A,
% j(A)),
% quotient(A,
% quotient(
% quotient(C,A),A)))),
% quotient(
% i(quotient(
% quotient(
% quotient(
% eta(B),
% quotient(
% i(quotient(A,
% j(A))),B)),A),A)),
% difference(
% quotient(A,
% j(A)),quotient(A,
% quotient(
% quotient(C,A),A))))))
% -> quotient(A,j(A)) collapsed.
% Rule
% [2015]
% quotient(quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(C),B))),A)),
% quotient(C,quotient(eta(A),quotient(i(quotient(eta(B),quotient(
% i(C),B))),A)))),
% difference(C,quotient(quotient(eta(C),quotient(i(A),C)),quotient(quotient(
% quotient(
% eta(
% difference(B,C)),
% quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),
% difference(B,C))),B),
% quotient(eta(C),
% quotient(i(A),C))))))
% -> quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(C),B))),A))
% collapsed.
% Rule
% [2020]
% quotient(quotient(eta(difference(B,quotient(quotient(quotient(difference(
% i(B),A),
% i(B)),i(B)),B))),
% quotient(i(quotient(eta(A),quotient(i(B),A))),difference(B,quotient(
% quotient(
% quotient(
% difference(
% i(B),A),
% i(B)),
% i(B)),B)))),B)
% ->
% quotient(quotient(quotient(eta(A),quotient(i(B),A)),j(quotient(eta(A),
% quotient(i(B),A)))),B)
% collapsed.
% Rule
% [2022]
% quotient(eta(difference(quotient(A,j(A)),quotient(A,quotient(quotient(C,A),A)))),
% quotient(i(quotient(quotient(quotient(eta(quotient(quotient(difference(
% i(C),A),C),B)),
% quotient(i(quotient(A,j(A))),quotient(quotient(
% difference(
% i(C),A),C),B))),A),A)),
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(C,A),A))))) <->
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(B,quotient(A,C)),A),A)))
% collapsed.
% Rule
% [2262]
% quotient(quotient(eta(A),B),quotient(eta(difference(i(i(A)),quotient(
% eta(A),B))),
% quotient(i(quotient(eta(A),B)),difference(
% i(i(A)),quotient(
% eta(A),B)))))
% <-> quotient(difference(j(B),j(j(A))),eta(A)) collapsed.
% Rule
% [2344]
% t(eta(A),quotient(quotient(quotient(eta(A),quotient(i(B),eta(A))),quotient(
% eta(A),
% i(quotient(B,
% quotient(
% eta(A),
% quotient(
% i(B),
% eta(A))))))),
% eta(A))) -> t(eta(A),quotient(eta(A),quotient(i(B),eta(A))))
% collapsed.
% Rule
% [2381]
% difference(t(quotient(eta(A),j(eta(B))),quotient(eta(A),i(i(B)))),quotient(
% quotient(
% eta(A),
% j(eta(B))),
% quotient(B,
% quotient(
% eta(A),
% j(eta(B))))))
% -> quotient(eta(A),j(eta(B))) collapsed.
% Rule
% [2382]
% difference(t(quotient(eta(A),j(eta(B))),quotient(eta(A),i(B))),quotient(
% quotient(
% eta(A),
% j(eta(B))),
% quotient(
% j(B),quotient(
% eta(A),
% j(
% eta(B))))))
% -> quotient(eta(A),j(eta(B))) collapsed.
% Rule
% [2446]
% quotient(quotient(eta(t(eta(A),B)),t(eta(A),quotient(j(eta(A)),B))),t(
% eta(A),
% t(B,
% eta(A))))
% -> t(eta(A),t(t(B,eta(A)),B)) collapsed.
% Rule
% [2483]
% quotient(quotient(quotient(eta(A),j(eta(B))),quotient(j(B),quotient(eta(A),
% j(eta(B))))),
% t(quotient(eta(A),j(eta(B))),quotient(eta(A),i(B)))) ->
% t(t(quotient(eta(A),j(eta(B))),quotient(eta(A),i(B))),quotient(eta(A),
% j(eta(B)))) collapsed.
% Rule
% [2486]
% quotient(quotient(quotient(eta(A),j(eta(B))),quotient(B,quotient(eta(A),
% j(eta(B))))),
% t(quotient(eta(A),j(eta(B))),quotient(eta(A),i(i(B))))) ->
% t(t(quotient(eta(A),j(eta(B))),quotient(eta(A),i(i(B)))),quotient(eta(A),
% j(eta(B))))
% collapsed.
% Rule
% [2490]
% quotient(A,quotient(quotient(eta(A),quotient(i(B),A)),quotient(eta(B),
% quotient(i(quotient(
% eta(A),
% quotient(
% i(B),A))),B))))
% -> quotient(eta(A),quotient(i(B),A)) collapsed.
% Rule
% [2491]
% quotient(quotient(difference(A,B),A),quotient(quotient(eta(B),quotient(
% i(A),B)),
% quotient(eta(A),quotient(i(quotient(
% eta(B),
% quotient(
% i(A),B))),A))))
% -> difference(A,B) collapsed.
% Rule
% [2492]
% difference(t(difference(A,B),quotient(quotient(eta(B),quotient(i(A),B)),
% quotient(eta(A),quotient(i(quotient(eta(B),
% quotient(i(A),B))),A)))),
% quotient(difference(A,B),A)) -> difference(A,B) collapsed.
% Rule
% [2493]
% quotient(quotient(quotient(eta(A),B),quotient(quotient(eta(B),quotient(
% i(C),j(B))),
% quotient(eta(C),quotient(i(quotient(
% eta(B),
% quotient(
% i(C),
% j(B)))),C)))),C)
% -> quotient(eta(A),B) collapsed.
% Rule
% [2494]
% quotient(quotient(A,quotient(quotient(quotient(eta(A),quotient(i(B),A)),
% quotient(eta(B),quotient(i(quotient(eta(A),
% quotient(i(B),A))),B))),A)),B)
% -> quotient(quotient(eta(A),quotient(quotient(i(B),A),j(j(A)))),B) collapsed.
% Rule
% [2496]
% difference(quotient(A,j(A)),quotient(A,quotient(quotient(quotient(eta(A),
% quotient(i(B),A)),
% quotient(eta(B),quotient(
% i(quotient(
% eta(A),
% quotient(
% i(B),A))),B))),A)))
% -> quotient(quotient(quotient(eta(B),quotient(i(quotient(A,j(A))),B)),A),A)
% collapsed.
% Rule
% [2502]
% quotient(quotient(quotient(difference(A,B),A),quotient(quotient(quotient(
% eta(B),
% quotient(
% i(A),B)),
% quotient(eta(A),
% quotient(i(quotient(
% eta(B),
% quotient(
% i(A),B))),A))),
% quotient(difference(A,B),A))),
% difference(A,B)) -> quotient(difference(A,B),A) collapsed.
% Rule
% [2511]
% quotient(eta(A),i(quotient(B,quotient(eta(quotient(quotient(eta(A),j(eta(B))),
% quotient(eta(B),quotient(i(
% quotient(
% eta(A),
% j(
% eta(B)))),
% j(B))))),quotient(
% i(
% quotient(
% eta(A),
% i(B))),
% quotient(
% quotient(
% eta(A),
% j(
% eta(B))),
% quotient(
% eta(B),
% quotient(
% i(
% quotient(
% eta(A),
% j(
% eta(B)))),
% j(B)))))))))
% -> j(B) collapsed.
% Rule
% [2512]
% quotient(quotient(quotient(eta(A),j(eta(B))),quotient(t(quotient(eta(A),i(B)),
% j(B)),quotient(
% eta(A),j(eta(B))))),
% t(t(quotient(eta(A),i(B)),j(B)),quotient(eta(A),i(B)))) ->
% quotient(eta(A),j(eta(B))) collapsed.
% Rule
% [2573]
% quotient(quotient(eta(A),quotient(i(B),A)),t(t(A,B),A)) ->
% t(t(t(A,B),A),t(A,B)) collapsed.
% Rule
% [2597]
% quotient(quotient(eta(t(eta(A),B)),t(eta(A),quotient(j(eta(A)),B))),t(
% eta(A),
% t(
% t(B,
% eta(A)),B)))
% -> t(eta(A),t(t(t(B,eta(A)),B),t(B,eta(A)))) collapsed.
% Rule
% [2601]
% quotient(quotient(eta(A),quotient(j(eta(A)),quotient(B,j(eta(A))))),quotient(
% eta(A),
% t(
% j(
% eta(A)),
% quotient(
% j(
% eta(A)),B))))
% -> eta(A) collapsed.
% Rule
% [2609]
% quotient(quotient(eta(A),j(eta(A))),t(eta(A),B)) ->
% t(eta(A),quotient(quotient(eta(A),j(eta(A))),B)) collapsed.
% Rule
% [2622]
% quotient(quotient(eta(A),j(eta(A))),j(t(eta(A),B))) ->
% t(eta(A),quotient(quotient(eta(A),j(eta(A))),j(B))) collapsed.
% Rule
% [2628]
% quotient(quotient(eta(A),j(eta(A))),i(t(eta(A),B))) ->
% t(eta(A),quotient(quotient(eta(A),j(eta(A))),i(B))) collapsed.
% Rule
% [2655]
% quotient(quotient(eta(A),quotient(j(eta(A)),quotient(B,j(eta(A))))),t(
% eta(A),
% quotient(
% eta(A),
% t(
% j(
% eta(A)),
% quotient(
% j(
% eta(A)),B)))))
% -> t(eta(A),t(quotient(eta(A),t(j(eta(A)),quotient(j(eta(A)),B))),eta(A)))
% collapsed.
% Rule
% [2702]
% quotient(quotient(eta(A),quotient(B,eta(A))),quotient(quotient(eta(A),B),
% quotient(eta(A),quotient(B,
% eta(A))))) ->
% quotient(quotient(eta(A),quotient(B,eta(A))),j(eta(A))) collapsed.
% Rule
% [2738]
% quotient(quotient(eta(A),quotient(t(i(quotient(A,j(A))),A),eta(A))),j(A)) ->
% eta(A) collapsed.
% Rule
% [2773]
% quotient(quotient(quotient(eta(A),j(eta(B))),quotient(t(quotient(eta(A),
% i(i(B))),B),quotient(
% eta(A),
% j(
% eta(B))))),
% t(t(quotient(eta(A),i(i(B))),B),quotient(eta(A),i(i(B))))) ->
% quotient(eta(A),j(eta(B))) collapsed.
% Rule
% [2792]
% difference(t(t(quotient(eta(A),j(eta(B))),quotient(eta(A),i(B))),quotient(
% eta(A),
% j(eta(B)))),
% quotient(quotient(eta(A),j(eta(B))),quotient(j(B),quotient(eta(A),j(eta(B))))))
% -> t(quotient(eta(A),j(eta(B))),quotient(eta(A),i(B))) collapsed.
% Rule
% [2802]
% difference(t(t(quotient(eta(A),j(eta(B))),quotient(eta(A),i(i(B)))),quotient(
% eta(A),
% j(
% eta(B)))),
% quotient(quotient(eta(A),j(eta(B))),quotient(B,quotient(eta(A),j(eta(B))))))
% -> t(quotient(eta(A),j(eta(B))),quotient(eta(A),i(i(B)))) collapsed.
% Rule
% [2809]
% quotient(quotient(quotient(i(i(i(A))),quotient(j(A),i(i(i(A))))),quotient(
% quotient(
% eta(A),
% j(eta(A))),
% quotient(
% i(i(i(A))),
% quotient(
% j(A),
% i(i(i(A))))))),
% i(i(i(A)))) -> quotient(i(i(i(A))),quotient(j(A),i(i(i(A))))) collapsed.
% Rule
% [2814]
% quotient(eta(A),i(quotient(i(B),quotient(eta(quotient(quotient(eta(A),
% j(eta(B))),quotient(
% eta(B),
% quotient(
% i(quotient(
% eta(A),
% j(
% eta(B)))),B)))),
% quotient(i(quotient(eta(A),i(i(B)))),
% quotient(quotient(eta(A),j(eta(B))),quotient(
% eta(B),
% quotient(
% i(
% quotient(
% eta(A),
% j(
% eta(B)))),B))))))))
% -> B collapsed.
% Rule
% [2815]
% quotient(quotient(eta(quotient(eta(A),i(quotient(A,j(A))))),quotient(A,
% quotient(
% eta(A),i(
% quotient(A,
% j(A)))))),
% quotient(eta(A),i(quotient(eta(quotient(A,j(A))),quotient(i(quotient(
% eta(quotient(
% eta(A),
% i(quotient(A,
% j(A))))),
% quotient(A,
% quotient(
% eta(A),i(
% quotient(A,
% j(A))))))),
% quotient(A,j(A))))))) ->
% quotient(i(i(A)),quotient(eta(A),i(quotient(eta(quotient(A,j(A))),quotient(
% i(i(i(A))),
% quotient(A,
% j(A)))))))
% collapsed.
% Rule [2834] quotient(quotient(eta(A),B),j(B)) -> eta(A) collapsed.
% Rule
% [2840]
% quotient(quotient(eta(A),B),j(t(eta(A),B))) -> t(eta(A),t(j(B),eta(A)))
% collapsed.
% Rule
% [2842]
% quotient(quotient(quotient(eta(A),B),quotient(j(B),quotient(eta(A),B))),
% eta(A)) -> quotient(eta(A),B) collapsed.
% Rule
% [2847]
% quotient(quotient(eta(A),B),t(eta(A),t(j(B),eta(A)))) ->
% t(eta(A),t(t(j(B),eta(A)),j(B))) collapsed.
% Rule
% [2855]
% difference(t(quotient(eta(A),B),eta(A)),quotient(quotient(eta(A),B),quotient(
% j(B),
% quotient(
% eta(A),B))))
% -> quotient(eta(A),B) collapsed.
% Rule
% [2863]
% quotient(quotient(quotient(eta(A),B),quotient(j(B),quotient(eta(A),B))),
% t(quotient(eta(A),B),eta(A))) ->
% t(t(quotient(eta(A),B),eta(A)),quotient(eta(A),B)) collapsed.
% Rule
% [2864]
% quotient(quotient(quotient(eta(A),B),quotient(j(t(eta(A),B)),quotient(
% eta(A),B))),
% t(eta(A),t(j(B),eta(A)))) -> quotient(eta(A),B) collapsed.
% Rule
% [2872]
% difference(t(t(quotient(eta(A),B),eta(A)),quotient(eta(A),B)),quotient(
% quotient(
% eta(A),B),
% quotient(
% j(B),quotient(
% eta(A),B))))
% -> t(quotient(eta(A),B),eta(A)) collapsed.
% Rule
% [2882]
% quotient(quotient(quotient(eta(t(eta(A),B)),t(eta(A),quotient(j(eta(A)),B))),
% j(t(eta(A),B))),t(eta(A),B)) ->
% quotient(eta(t(eta(A),B)),t(eta(A),quotient(j(eta(A)),B))) collapsed.
% Rule
% [2894]
% quotient(quotient(quotient(eta(A),B),quotient(j(B),quotient(eta(A),B))),
% t(t(quotient(eta(A),B),eta(A)),quotient(eta(A),B))) ->
% t(t(t(quotient(eta(A),B),eta(A)),quotient(eta(A),B)),t(quotient(eta(A),B),
% eta(A))) collapsed.
% Rule
% [2908] quotient(quotient(eta(A),j(j(j(B)))),eta(B)) -> quotient(eta(A),j(B))
% collapsed.
% Rule
% [2910]
% quotient(quotient(eta(A),quotient(j(B),j(j(B)))),B) -> quotient(eta(A),j(B))
% collapsed.
% Rule
% [2913]
% quotient(quotient(eta(A),j(B)),eta(C)) <->
% quotient(eta(A),quotient(quotient(eta(quotient(eta(B),quotient(i(j(eta(C))),B))),
% quotient(i(B),i(quotient(eta(B),quotient(i(j(eta(C))),B))))),
% j(j(B)))) collapsed.
% Rule
% [2921]
% quotient(quotient(eta(A),quotient(i(B),eta(C))),B) ->
% quotient(eta(A),j(eta(C))) collapsed.
% Rule [2930] quotient(quotient(eta(A),quotient(i(B),i(A))),B) -> i(A)
% collapsed.
% Rule [2931] quotient(quotient(eta(A),quotient(B,A)),j(B)) -> A collapsed.
% Rule [2932] quotient(quotient(eta(A),quotient(i(B),A)),A) -> t(A,B)
% collapsed.
% Rule [2933] quotient(quotient(eta(A),quotient(i(B),j(A))),B) -> j(A)
% collapsed.
% Rule
% [2935]
% quotient(quotient(eta(quotient(i(A),B)),t(quotient(i(A),B),B)),A) ->
% quotient(i(A),B) collapsed.
% Rule
% [2940]
% quotient(quotient(eta(t(quotient(i(A),B),B)),t(t(quotient(i(A),B),B),
% quotient(i(A),B))),A) ->
% t(quotient(i(A),B),B) collapsed.
% Rule
% [2941]
% quotient(quotient(eta(A),quotient(i(B),A)),t(t(t(A,B),A),t(A,B))) ->
% t(t(t(t(A,B),A),t(A,B)),t(t(A,B),A)) collapsed.
% Rule
% [2942]
% quotient(quotient(quotient(eta(A),quotient(i(B),A)),quotient(t(A,B),quotient(
% eta(A),
% quotient(
% i(B),A)))),
% t(t(A,B),A)) -> quotient(eta(A),quotient(i(B),A)) collapsed.
% Rule
% [2963]
% difference(t(quotient(eta(A),quotient(i(B),A)),A),quotient(quotient(eta(A),
% quotient(i(B),A)),
% quotient(B,quotient(
% eta(A),quotient(
% i(B),A)))))
% -> quotient(eta(A),quotient(i(B),A)) collapsed.
% Rule
% [2978]
% quotient(quotient(eta(A),j(eta(A))),j(eta(A))) ->
% quotient(eta(A),i(quotient(eta(A),j(eta(A))))) collapsed.
% Rule
% [2979]
% quotient(quotient(eta(B),quotient(i(C),B)),j(eta(A))) <->
% quotient(eta(B),quotient(i(quotient(C,j(eta(A)))),B)) collapsed.
% Rule
% [3000]
% quotient(quotient(eta(B),eta(A)),t(eta(A),C)) <->
% t(eta(A),quotient(t(eta(A),quotient(j(eta(A)),j(eta(quotient(B,j(eta(A))))))),C))
% collapsed.
% Rule
% [3004]
% quotient(quotient(eta(A),quotient(B,eta(A))),t(eta(A),t(quotient(eta(A),B),
% eta(A)))) ->
% t(eta(A),t(t(quotient(eta(A),B),eta(A)),quotient(eta(A),B))) collapsed.
% Rule
% [3007]
% quotient(quotient(eta(quotient(eta(B),quotient(i(A),B))),quotient(i(B),
% i(quotient(eta(B),
% quotient(i(A),B))))),
% i(B)) -> i(quotient(eta(B),quotient(i(A),i(B)))) collapsed.
% Rule
% [3008]
% quotient(quotient(eta(quotient(eta(B),quotient(i(A),B))),quotient(i(B),
% i(quotient(eta(B),
% quotient(i(A),B))))),
% j(B)) -> i(quotient(eta(B),quotient(i(A),j(B)))) collapsed.
% Rule
% [3012]
% quotient(j(quotient(quotient(eta(quotient(eta(B),quotient(i(A),B))),quotient(
% i(B),
% i(
% quotient(
% eta(B),
% quotient(
% i(A),B))))),
% j(j(B)))),A) -> j(j(B)) collapsed.
% Rule
% [3016]
% quotient(quotient(eta(quotient(A,B)),quotient(t(A,quotient(i(B),quotient(A,B))),
% eta(quotient(A,B)))),t(t(A,quotient(
% i(B),
% quotient(A,B))),A))
% -> eta(quotient(A,B)) collapsed.
% Rule
% [3017]
% quotient(quotient(eta(A),quotient(quotient(eta(quotient(eta(B),quotient(
% i(C),B))),
% quotient(i(B),i(quotient(eta(B),quotient(
% i(C),B))))),
% j(j(B)))),C) -> quotient(eta(A),j(B)) collapsed.
% Rule
% [3018]
% quotient(quotient(eta(A),quotient(quotient(eta(quotient(eta(C),quotient(
% i(B),C))),
% quotient(i(C),i(quotient(eta(C),quotient(
% i(B),C))))),
% j(j(j(C))))),B) -> quotient(eta(A),j(j(C)))
% collapsed.
% Rule
% [3043]
% quotient(quotient(eta(A),j(eta(quotient(i(B),eta(C))))),quotient(eta(C),i(B)))
% -> quotient(eta(A),i(quotient(i(B),eta(C)))) collapsed.
% Rule
% [3115]
% quotient(quotient(eta(A),j(eta(B))),i(i(B))) ->
% quotient(eta(A),i(i(i(i(B))))) collapsed.
% Rule
% [3116]
% quotient(quotient(eta(A),j(eta(B))),quotient(eta(A),i(i(i(B))))) ->
% t(quotient(eta(A),i(i(i(B)))),i(B)) collapsed.
% Rule
% [3121] quotient(quotient(eta(A),j(eta(A))),i(i(i(A)))) -> t(i(i(i(A))),A)
% collapsed.
% Rule
% [3127]
% quotient(quotient(eta(A),quotient(quotient(eta(B),quotient(j(eta(A)),i(B))),
% eta(A))),B) -> eta(A) collapsed.
% Rule
% [3133]
% quotient(quotient(eta(A),quotient(i(B),i(A))),j(A)) ->
% t(j(A),j(quotient(eta(B),quotient(j(eta(A)),i(B))))) collapsed.
% Rule
% [3134]
% quotient(quotient(eta(A),quotient(i(B),A)),j(quotient(eta(B),quotient(
% j(eta(A)),
% i(B))))) ->
% j(j(A)) collapsed.
% Rule
% [3135]
% quotient(quotient(eta(A),quotient(i(B),A)),j(j(A))) ->
% t(j(j(A)),j(quotient(eta(B),quotient(j(eta(A)),i(B))))) collapsed.
% Rule
% [3143]
% quotient(quotient(eta(A),quotient(i(B),j(A))),j(j(j(A)))) ->
% t(j(j(j(A))),j(quotient(eta(B),quotient(j(eta(A)),i(B))))) collapsed.
% Rule
% [3153]
% quotient(quotient(eta(A),j(eta(A))),i(i(i(i(i(i(i(A)))))))) ->
% i(i(i(i(i(i(i(i(i(i(A)))))))))) collapsed.
% Rule
% [3156]
% quotient(quotient(eta(t(eta(A),B)),t(eta(A),quotient(A,B))),i(i(i(A)))) ->
% t(eta(A),B) collapsed.
% Rule
% [3159] quotient(quotient(eta(A),quotient(B,A)),t(A,j(B))) -> t(t(A,j(B)),A)
% collapsed.
% Rule
% [3162]
% quotient(quotient(eta(A),quotient(i(B),i(A))),t(i(A),B)) -> t(t(i(A),B),i(A))
% collapsed.
% Rule
% [3163]
% quotient(quotient(eta(A),quotient(i(B),j(A))),t(j(A),B)) -> t(t(j(A),B),j(A))
% collapsed.
% Rule
% [3201]
% quotient(quotient(eta(A),j(t(i(i(A)),i(t(i(A),j(t(A,i(quotient(A,j(A)))))))))),
% i(i(i(A)))) -> i(i(i(i(i(A))))) collapsed.
% Rule
% [3207]
% quotient(quotient(eta(A),quotient(t(A,i(quotient(A,j(A)))),eta(A))),A) ->
% i(i(A)) collapsed.
% Rule
% [3212]
% quotient(quotient(eta(A),quotient(quotient(B,A),eta(A))),j(B)) -> i(i(A))
% collapsed.
% Rule
% [3213]
% quotient(quotient(eta(A),quotient(quotient(i(B),j(A)),eta(A))),B) -> i(A)
% collapsed.
% Rule
% [3214]
% quotient(quotient(eta(A),quotient(quotient(i(B),i(A)),eta(A))),B) ->
% i(i(i(A))) collapsed.
% Rule
% [3215]
% quotient(quotient(eta(A),quotient(quotient(j(eta(B)),A),eta(A))),eta(B)) ->
% i(i(A)) collapsed.
% Rule [3217] quotient(quotient(eta(A),quotient(i(B),i(i(A)))),B) -> i(i(A))
% collapsed.
% Rule
% [3218]
% quotient(quotient(eta(A),quotient(i(B),i(i(A)))),i(i(A))) -> t(i(i(A)),B)
% collapsed.
% Rule
% [3219]
% quotient(quotient(eta(quotient(A,B)),quotient(i(B),i(i(quotient(A,B))))),A)
% -> eta(quotient(A,B)) collapsed.
% Rule
% [3220]
% quotient(quotient(eta(difference(A,i(B))),quotient(A,eta(difference(A,i(B))))),B)
% -> i(i(difference(A,i(B)))) collapsed.
% Rule
% [3222]
% quotient(quotient(eta(A),quotient(i(B),i(i(A)))),t(i(i(A)),B)) ->
% t(t(i(i(A)),B),i(i(A))) collapsed.
% Rule
% [3225]
% quotient(quotient(eta(quotient(i(A),B)),quotient(t(quotient(i(A),B),B),
% eta(quotient(i(A),B)))),A) ->
% i(i(quotient(i(A),B))) collapsed.
% Rule
% [3231]
% quotient(quotient(eta(A),quotient(quotient(eta(B),quotient(j(eta(A)),
% i(i(i(B))))),eta(A))),
% i(i(B))) -> eta(A) collapsed.
% Rule
% [3272]
% quotient(quotient(eta(A),quotient(quotient(eta(B),quotient(j(eta(A)),i(B))),
% eta(A))),t(eta(A),B)) -> t(eta(A),t(B,eta(A)))
% collapsed.
% Rule
% [3285]
% difference(A,quotient(quotient(eta(A),B),A)) ->
% quotient(quotient(eta(A),quotient(B,j(A))),A) collapsed.
% Rule
% [3288]
% quotient(quotient(quotient(eta(A),B),i(A)),i(A)) ->
% t(i(A),quotient(quotient(eta(A),quotient(B,A)),i(A))) collapsed.
% Rule
% [3291]
% quotient(quotient(quotient(eta(A),B),i(A)),quotient(quotient(eta(A),quotient(B,A)),
% i(A))) -> i(A) collapsed.
% Rule
% [3295]
% quotient(quotient(eta(A),quotient(quotient(eta(A),quotient(j(eta(A)),
% i(i(i(i(i(i(i(i(A)))))))))),A)),
% i(A)) -> quotient(quotient(eta(A),quotient(i(i(i(i(A)))),j(j(A)))),i(A))
% collapsed.
% Rule
% [3297]
% difference(i(A),t(eta(A),quotient(quotient(eta(A),j(B)),j(j(j(A)))))) ->
% quotient(quotient(eta(A),quotient(j(t(eta(A),B)),A)),i(A)) collapsed.
% Rule [3298] quotient(quotient(eta(A),quotient(B,j(j(A)))),j(B)) -> j(j(A))
% collapsed.
% Rule
% [3299] quotient(quotient(eta(A),quotient(i(B),j(j(j(A))))),B) -> j(j(j(A)))
% collapsed.
% Rule
% [3300]
% quotient(quotient(eta(A),quotient(j(eta(B)),j(j(A)))),eta(B)) -> j(j(A))
% collapsed.
% Rule
% [3301]
% quotient(quotient(eta(A),quotient(i(B),j(j(A)))),j(j(A))) -> t(j(j(A)),B)
% collapsed.
% Rule
% [3305]
% quotient(quotient(eta(A),quotient(i(B),j(j(A)))),t(j(j(A)),B)) ->
% t(t(j(j(A)),B),j(j(A))) collapsed.
% Rule
% [3315]
% quotient(quotient(quotient(quotient(quotient(eta(A),quotient(i(quotient(
% eta(quotient(
% eta(
% t(
% eta(
% quotient(A,
% j(A))),
% quotient(A,
% j(
% eta(
% quotient(A,
% j(A))))))),
% quotient(
% i(A),
% t(
% eta(
% quotient(A,
% j(A))),
% quotient(A,
% j(
% eta(
% quotient(A,
% j(A))))))))),
% quotient(
% i(i(A)),
% quotient(
% eta(t(
% eta(
% quotient(A,
% j(A))),
% quotient(A,
% j(
% eta(
% quotient(A,
% j(A))))))),
% quotient(
% i(A),t(
% eta(
% quotient(A,
% j(A))),
% quotient(A,
% j(
% eta(
% quotient(A,
% j(A))))))))))),A)),
% i(A)),A),j(A)),j(j(A))) ->
% j(t(A,i(quotient(A,j(A))))) collapsed.
% Rule
% [3322]
% quotient(quotient(eta(A),quotient(quotient(eta(t(t(quotient(eta(A),B),B),
% quotient(eta(A),B))),quotient(
% j(
% eta(A)),
% i(
% t(
% t(
% quotient(
% eta(A),B),B),
% quotient(
% eta(A),B))))),A)),
% i(A)) -> quotient(quotient(eta(A),quotient(t(quotient(eta(A),B),B),A)),i(A))
% collapsed.
% Rule
% [3331]
% quotient(quotient(eta(A),quotient(B,A)),eta(C)) <->
% quotient(eta(A),quotient(i(quotient(j(B),eta(C))),A)) collapsed.
% Rule
% [3332]
% quotient(quotient(eta(A),quotient(i(B),i(A))),eta(C)) <->
% quotient(eta(A),quotient(i(quotient(B,eta(C))),i(A))) collapsed.
% Rule
% [3334]
% quotient(quotient(eta(A),quotient(i(B),j(A))),eta(C)) <->
% quotient(eta(A),quotient(i(quotient(B,eta(C))),j(A))) collapsed.
% Rule
% [3344]
% quotient(quotient(eta(quotient(i(A),B)),t(quotient(i(A),B),B)),eta(C)) <->
% quotient(eta(quotient(i(A),B)),quotient(i(quotient(A,eta(C))),quotient(
% i(A),B)))
% collapsed.
% Rule
% [3345]
% quotient(quotient(eta(A),quotient(i(quotient(B,eta(C))),A)),quotient(
% eta(A),quotient(
% i(B),A)))
% -> t(quotient(eta(A),quotient(i(B),A)),j(eta(C))) collapsed.
% Rule
% [3346]
% quotient(quotient(eta(A),quotient(B,A)),eta(B)) ->
% quotient(eta(A),quotient(i(i(B)),A)) collapsed.
% Rule
% [3347]
% quotient(quotient(eta(A),quotient(j(j(B)),A)),eta(B)) ->
% quotient(eta(A),quotient(B,A)) collapsed.
% Rule
% [3348]
% quotient(eta(A),quotient(quotient(eta(B),j(eta(B))),A)) <->
% quotient(quotient(A,eta(B)),eta(B)) collapsed.
% Rule
% [3350]
% quotient(quotient(quotient(eta(A),quotient(i(B),A)),eta(C)),quotient(B,
% eta(C))) -> A
% collapsed.
% Rule
% [3351]
% quotient(quotient(quotient(eta(A),quotient(i(B),A)),eta(C)),eta(A)) ->
% j(t(eta(A),quotient(i(quotient(B,eta(C))),A))) collapsed.
% Rule
% [3352]
% quotient(quotient(quotient(eta(A),quotient(i(B),A)),eta(C)),eta(V_3)) <->
% quotient(eta(A),quotient(i(quotient(quotient(B,eta(C)),eta(V_3))),A))
% collapsed.
% Rule
% [3354]
% quotient(quotient(eta(A),quotient(t(eta(B),C),A)),eta(B)) ->
% quotient(eta(A),quotient(i(t(eta(B),quotient(j(C),eta(B)))),A)) collapsed.
% Rule
% [3355]
% quotient(quotient(quotient(eta(A),quotient(i(B),A)),eta(C)),t(A,quotient(B,
% eta(C)))) ->
% t(t(A,quotient(B,eta(C))),A) collapsed.
% Rule
% [3356]
% difference(j(t(eta(A),quotient(i(quotient(B,eta(C))),A))),quotient(quotient(
% eta(A),
% quotient(
% i(B),A)),
% eta(C))) ->
% eta(A) collapsed.
% Rule
% [3357]
% quotient(quotient(eta(A),quotient(i(quotient(B,eta(C))),i(i(A)))),quotient(
% quotient(
% eta(A),
% quotient(
% i(B),A)),
% eta(C))) ->
% eta(A) collapsed.
% Rule
% [3358]
% quotient(quotient(quotient(A,eta(B)),C),quotient(quotient(A,eta(B)),quotient(
% quotient(
% eta(C),
% quotient(
% i(A),C)),
% eta(B))))
% -> quotient(A,eta(B)) collapsed.
% Rule
% [3359]
% quotient(quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(C),B))),A)),
% eta(V_3)) <->
% quotient(eta(A),quotient(i(quotient(eta(B),quotient(i(quotient(C,eta(V_3))),B))),A))
% collapsed.
% Rule
% [3383]
% quotient(quotient(eta(A),quotient(j(B),i(A))),eta(B)) ->
% quotient(eta(A),quotient(i(B),i(A))) collapsed.
% Rule
% [3384]
% quotient(quotient(eta(A),quotient(j(B),j(A))),eta(B)) ->
% quotient(eta(A),quotient(i(B),j(A))) collapsed.
% Rule
% [3386]
% quotient(quotient(eta(A),quotient(j(B),A)),quotient(eta(A),quotient(i(B),A)))
% -> t(quotient(eta(A),quotient(i(B),A)),eta(B)) collapsed.
% Rule
% [3388]
% quotient(quotient(eta(quotient(j(A),B)),t(quotient(j(A),B),B)),eta(A)) ->
% quotient(eta(quotient(j(A),B)),quotient(i(A),quotient(j(A),B))) collapsed.
% Rule
% [3389]
% quotient(quotient(eta(A),quotient(eta(B),quotient(i(A),B))),quotient(
% eta(A),quotient(
% eta(B),
% quotient(
% j(A),B))))
% -> eta(A) collapsed.
% Rule
% [3390]
% quotient(quotient(eta(t(eta(A),B)),t(eta(A),quotient(j(C),B))),eta(t(
% Cputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------