TSTP Solution File: GRP766-1 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : GRP766-1 : TPTP v6.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n144.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 00:24:53 EDT 2014
% Result : Timeout 300.06s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : GRP766-1 : TPTP v6.0.0. Released v4.1.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n144.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 01:40:13 CDT 2014
% % CPUTime : 300.06
% Processing problem /tmp/CiME_60556_n144.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " x2,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);
% 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));
% 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));
% 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 "
% x2 lr_lex;
% 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 > x2";
%
% let s2 = status F "
% x2 mul;
% 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 = x2";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " product(eta(x0),product(x1,x2)) = product(product(eta(x0),x1),x2);"
% ;
% (*
% 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),
% 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)),
% 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)),
% t(A,B) = quotient(product(A,B),A),
% t(eta(A),product(B,C)) =
% product(t(eta(A),B),t(eta(A),C)) }
% (19 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(eta(x0),product(x1,x2)) =
% product(product(eta(x0),x1),x2) }
% (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: 20
% 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: 19
% 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: 18
% 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: 17
% 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: 15
% 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: 15
% 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: 14
% 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: 13
% 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: 12
% 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: 11
% 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: 10
% 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: 9
% Current number of rules: 12
% New rule produced : [13] product(j(j(A)),B) -> product(A,product(eta(A),B))
% Current number of equations to process: 0
% Current number of ordered equations: 8
% 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: 7
% Current number of rules: 14
% New rule produced :
% [15]
% quotient(product(B,product(C,A)),A) <-> difference(A,product(product(A,B),C))
% Current number of equations to process: 16
% Current number of ordered equations: 37
% Current number of rules: 15
% New rule produced :
% [16]
% difference(A,product(product(A,B),C)) <-> quotient(product(B,product(C,A)),A)
% Current number of equations to process: 16
% Current number of ordered equations: 36
% Current number of rules: 16
% New rule produced :
% [17] l(A,B,C) -> difference(product(A,B),product(A,product(B,C)))
% Current number of equations to process: 17
% Current number of ordered equations: 34
% Current number of rules: 17
% New rule produced :
% [18] product(t(eta(A),B),t(eta(A),C)) -> t(eta(A),product(B,C))
% Current number of equations to process: 16
% Current number of ordered equations: 34
% Current number of rules: 18
% New rule produced :
% [19]
% 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: 16
% Current number of ordered equations: 33
% Current number of rules: 19
% New rule produced :
% [20]
% quotient(quotient(product(C,product(A,B)),B),A) <->
% difference(product(A,B),product(A,product(B,C)))
% Current number of equations to process: 42
% Current number of ordered equations: 61
% Current number of rules: 20
% New rule produced :
% [21]
% difference(product(A,B),product(A,product(B,C))) <->
% quotient(quotient(product(C,product(A,B)),B),A)
% Current number of equations to process: 42
% Current number of ordered equations: 60
% Current number of rules: 21
% New rule produced : [22] i(one) -> eta(one)
% Current number of equations to process: 42
% Current number of ordered equations: 59
% Current number of rules: 22
% New rule produced : [23] j(one) -> eta(one)
% Current number of equations to process: 42
% Current number of ordered equations: 58
% Current number of rules: 23
% New rule produced : [24] quotient(A,one) -> A
% Current number of equations to process: 45
% Current number of ordered equations: 53
% Current number of rules: 24
% New rule produced : [25] quotient(A,A) -> one
% Current number of equations to process: 46
% Current number of ordered equations: 51
% Current number of rules: 25
% New rule produced : [26] difference(A,A) -> one
% Current number of equations to process: 46
% Current number of ordered equations: 50
% Current number of rules: 26
% New rule produced : [27] difference(one,A) -> A
% Current number of equations to process: 46
% Current number of ordered equations: 47
% Current number of rules: 27
% New rule produced : [28] t(A,A) -> A
% Current number of equations to process: 46
% Current number of ordered equations: 46
% Current number of rules: 28
% New rule produced : [29] product(A,i(A)) -> one
% Current number of equations to process: 47
% Current number of ordered equations: 44
% Current number of rules: 29
% New rule produced : [30] product(j(A),A) -> one
% Current number of equations to process: 47
% Current number of ordered equations: 43
% Current number of rules: 30
% New rule produced : [31] t(A,one) -> one
% Current number of equations to process: 46
% Current number of ordered equations: 43
% Current number of rules: 31
% New rule produced : [32] t(one,A) -> A
% Current number of equations to process: 45
% Current number of ordered equations: 43
% Current number of rules: 32
% New rule produced : [33] quotient(eta(A),A) -> i(A)
% Current number of equations to process: 46
% Current number of ordered equations: 41
% Current number of rules: 33
% New rule produced : [34] difference(A,eta(A)) -> j(A)
% Current number of equations to process: 46
% Current number of ordered equations: 40
% Current number of rules: 34
% New rule produced : [35] difference(i(A),eta(A)) -> A
% Current number of equations to process: 46
% Current number of ordered equations: 39
% Current number of rules: 35
% New rule produced : [36] quotient(A,difference(B,A)) -> B
% Current number of equations to process: 46
% Current number of ordered equations: 38
% Current number of rules: 36
% New rule produced : [37] difference(quotient(A,B),A) -> B
% Current number of equations to process: 46
% Current number of ordered equations: 37
% Current number of rules: 37
% New rule produced : [38] quotient(eta(A),j(A)) -> A
% Current number of equations to process: 46
% Current number of ordered equations: 36
% Current number of rules: 38
% New rule produced : [39] product(eta(A),A) -> i(i(A))
% Current number of equations to process: 47
% Current number of ordered equations: 34
% Current number of rules: 39
% New rule produced : [40] product(A,eta(A)) -> j(j(A))
% Current number of equations to process: 47
% Current number of ordered equations: 33
% Current number of rules: 40
% New rule produced : [41] t(A,j(A)) -> i(A)
% Current number of equations to process: 46
% Current number of ordered equations: 33
% Current number of rules: 41
% New rule produced : [42] t(B,difference(B,A)) -> quotient(A,B)
% Current number of equations to process: 46
% Current number of ordered equations: 32
% Current number of rules: 42
% New rule produced : [43] product(t(A,B),A) -> product(A,B)
% Current number of equations to process: 46
% Current number of ordered equations: 31
% Current number of rules: 43
% New rule produced : [44] quotient(eta(A),i(A)) -> t(i(A),A)
% Current number of equations to process: 46
% Current number of ordered equations: 30
% Current number of rules: 44
% New rule produced : [45] quotient(A,quotient(A,B)) -> t(quotient(A,B),B)
% Current number of equations to process: 46
% Current number of ordered equations: 29
% Current number of rules: 45
% New rule produced : [46] eta(i(A)) -> eta(A)
% Current number of equations to process: 45
% Current number of ordered equations: 27
% Current number of rules: 46
% New rule produced : [47] quotient(product(eta(A),product(A,B)),B) -> i(i(A))
% Current number of equations to process: 45
% Current number of ordered equations: 26
% Current number of rules: 47
% New rule produced : [48] quotient(product(A,product(eta(A),B)),B) -> j(j(A))
% Current number of equations to process: 45
% Current number of ordered equations: 25
% Current number of rules: 48
% New rule produced :
% [49] product(A,product(j(A),eta(A))) -> product(eta(A),eta(A))
% Current number of equations to process: 45
% Current number of ordered equations: 24
% Current number of rules: 49
% New rule produced :
% [50] t(A,product(B,A)) <-> difference(A,product(product(A,A),B))
% Current number of equations to process: 45
% Current number of ordered equations: 23
% Current number of rules: 50
% New rule produced :
% [51] difference(A,product(product(A,A),B)) <-> t(A,product(B,A))
% Current number of equations to process: 45
% Current number of ordered equations: 22
% Current number of rules: 51
% New rule produced :
% [52] product(B,product(difference(B,A),eta(B))) -> product(A,eta(B))
% Current number of equations to process: 45
% Current number of ordered equations: 21
% Current number of rules: 52
% New rule produced : [53] quotient(product(A,i(i(B))),B) -> product(A,eta(B))
% Current number of equations to process: 44
% Current number of ordered equations: 21
% Current number of rules: 53
% New rule produced :
% [54] difference(i(i(A)),product(eta(A),product(A,B))) -> B
% Current number of equations to process: 44
% Current number of ordered equations: 20
% Current number of rules: 54
% New rule produced :
% [55] product(eta(B),product(B,difference(i(i(B)),A))) -> A
% Current number of equations to process: 44
% Current number of ordered equations: 19
% Current number of rules: 55
% New rule produced :
% [56] difference(j(j(A)),product(A,product(eta(A),B))) -> B
% Current number of equations to process: 44
% Current number of ordered equations: 18
% Current number of rules: 56
% New rule produced :
% [57] product(B,product(eta(B),difference(j(j(B)),A))) -> A
% Current number of equations to process: 44
% Current number of ordered equations: 17
% Current number of rules: 57
% New rule produced :
% [58] quotient(product(A,product(B,eta(A))),eta(A)) -> product(A,B)
% Current number of equations to process: 44
% Current number of ordered equations: 16
% Current number of rules: 58
% New rule produced : [59] product(eta(A),product(A,j(i(i(A))))) -> eta(A)
% Current number of equations to process: 43
% Current number of ordered equations: 16
% Current number of rules: 59
% New rule produced :
% [60] product(A,product(eta(A),j(j(j(A))))) -> eta(j(j(A)))
% Current number of equations to process: 43
% Current number of ordered equations: 15
% Current number of rules: 60
% New rule produced : [61] product(i(A),j(j(A))) -> product(eta(A),eta(A))
% Current number of equations to process: 42
% Current number of ordered equations: 15
% Current number of rules: 61
% New rule produced :
% [62] difference(product(A,B),product(A,product(B,eta(A)))) -> eta(A)
% Current number of equations to process: 42
% Current number of ordered equations: 14
% Current number of rules: 62
% New rule produced :
% [63]
% quotient(product(j(A),product(B,A)),A) -> difference(A,product(eta(A),B))
% Current number of equations to process: 42
% Current number of ordered equations: 13
% Current number of rules: 63
% New rule produced :
% [64]
% difference(C,product(product(C,A),quotient(B,C))) -> quotient(product(A,B),C)
% Current number of equations to process: 42
% Current number of ordered equations: 12
% Current number of rules: 64
% New rule produced :
% [65]
% product(difference(A,product(product(A,B),C)),A) -> product(B,product(C,A))
% Current number of equations to process: 42
% Current number of ordered equations: 11
% Current number of rules: 65
% New rule produced :
% [66]
% product(A,quotient(product(B,product(C,A)),A)) <-> product(product(A,B),C)
% Current number of equations to process: 42
% Current number of ordered equations: 10
% Current number of rules: 66
% New rule produced :
% [67]
% 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.
% The conjecture has been reduced.
% Conjecture is now:
% product(eta(x0),product(x1,x2)) = product(eta(x0),quotient(product(x1,
% product(x2,
% eta(x0))),
% eta(x0)))
%
% Current number of equations to process: 42
% Current number of ordered equations: 7
% Current number of rules: 66
% New rule produced :
% [68]
% quotient(product(difference(A,B),product(C,A)),A) ->
% difference(A,product(B,C))
% Current number of equations to process: 54
% Current number of ordered equations: 6
% Current number of rules: 67
% New rule produced :
% [69] quotient(product(eta(A),product(A,B)),i(i(A))) -> t(i(i(A)),B)
% Current number of equations to process: 55
% Current number of ordered equations: 5
% Current number of rules: 68
% New rule produced :
% [70] quotient(product(A,product(eta(A),B)),j(j(A))) -> t(j(j(A)),B)
% Current number of equations to process: 55
% Current number of ordered equations: 4
% Current number of rules: 69
% New rule produced :
% [71]
% difference(i(A),product(eta(A),B)) <->
% quotient(product(A,product(B,i(A))),i(A))
% Current number of equations to process: 55
% Current number of ordered equations: 3
% Current number of rules: 70
% New rule produced :
% [72]
% quotient(product(A,product(B,i(A))),i(A)) <->
% difference(i(A),product(eta(A),B))
% Current number of equations to process: 55
% Current number of ordered equations: 2
% Current number of rules: 71
% New rule produced :
% [73]
% difference(product(B,A),product(B,product(A,A))) ->
% quotient(t(A,product(B,A)),B)
% Current number of equations to process: 54
% Current number of ordered equations: 2
% Current number of rules: 72
% New rule produced :
% [74] quotient(t(eta(A),product(B,C)),t(eta(A),C)) -> t(eta(A),B)
% Current number of equations to process: 56
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [75] difference(t(eta(A),B),t(eta(A),product(B,C))) -> t(eta(A),C)
% Current number of equations to process: 56
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [76]
% difference(product(A,B),product(A,C)) <->
% quotient(difference(B,product(C,A)),A)
% Current number of equations to process: 66
% Current number of ordered equations: 1
% Current number of rules: 75
% New rule produced :
% [77]
% quotient(difference(B,product(C,A)),A) <->
% difference(product(A,B),product(A,C))
% Current number of equations to process: 66
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced : [78] product(i(eta(one)),A) -> product(eta(one),A)
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced : [79] j(eta(one)) -> eta(one)
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 78
% Rule [23] j(one) -> eta(one) is composed into [23] j(one) -> one
% Rule [22] i(one) -> eta(one) is composed into [22] i(one) -> one
% New rule produced : [80] eta(one) -> one
% Rule [78] product(i(eta(one)),A) -> product(eta(one),A) collapsed.
% Rule [79] j(eta(one)) -> eta(one) collapsed.
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced : [81] j(i(A)) -> A
% Rule [59] product(eta(A),product(A,j(i(i(A))))) -> eta(A) collapsed.
% Current number of equations to process: 77
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced : [82] t(A,i(A)) -> j(A)
% Current number of equations to process: 77
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced : [83] i(j(A)) -> A
% Current number of equations to process: 85
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced : [84] t(j(A),A) -> j(j(A))
% Current number of equations to process: 85
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced : [85] product(A,product(eta(A),j(A))) -> one
% Current number of equations to process: 86
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced : [86] t(eta(A),product(B,eta(A))) <-> product(eta(A),B)
% Current number of equations to process: 90
% Current number of ordered equations: 1
% Current number of rules: 82
% New rule produced : [87] product(eta(A),B) <-> t(eta(A),product(B,eta(A)))
% Rule [39] product(eta(A),A) -> i(i(A)) collapsed.
% Current number of equations to process: 91
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced : [88] t(eta(A),j(j(A))) -> i(i(A))
% Current number of equations to process: 90
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [89] product(B,product(i(B),A)) -> quotient(quotient(A,i(B)),B)
% Current number of equations to process: 89
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [90] product(j(B),product(B,A)) -> quotient(quotient(A,B),j(B))
% Current number of equations to process: 87
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced : [91] difference(t(A,B),product(A,B)) -> A
% Current number of equations to process: 88
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced : [92] difference(A,j(j(A))) -> eta(A)
% Current number of equations to process: 92
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced : [93] quotient(j(j(A)),eta(A)) -> A
% Current number of equations to process: 91
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced : [94] quotient(j(j(A)),A) -> t(A,eta(A))
% Current number of equations to process: 91
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced : [95] product(eta(A),product(A,i(i(i(A))))) -> one
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [96] quotient(product(i(A),product(B,A)),A) -> difference(A,B)
% Current number of equations to process: 96
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced : [97] quotient(product(A,B),t(A,B)) -> t(t(A,B),A)
% Current number of equations to process: 102
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [98] quotient(product(eta(A),product(B,A)),A) -> product(eta(A),B)
% Current number of equations to process: 106
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced : [99] difference(t(i(A),A),eta(A)) -> i(A)
% Current number of equations to process: 106
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced : [100] difference(t(quotient(A,B),B),A) -> quotient(A,B)
% Current number of equations to process: 110
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [101] product(eta(A),t(eta(A),B)) -> t(eta(A),product(eta(A),B))
% Current number of equations to process: 109
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [102] quotient(quotient(product(A,j(j(B))),eta(B)),B) -> A
% Current number of equations to process: 108
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced : [103] quotient(eta(A),t(i(A),A)) -> t(t(i(A),A),i(A))
% Current number of equations to process: 107
% Current number of ordered equations: 0
% Current number of rules: 98
% Rule [44] quotient(eta(A),i(A)) -> t(i(A),A) is composed into [44]
% quotient(
% eta(A),
% i(A)) ->
% i(i(A))
% New rule produced : [104] t(i(A),A) -> i(i(A))
% Rule [99] difference(t(i(A),A),eta(A)) -> i(A) collapsed.
% Rule [103] quotient(eta(A),t(i(A),A)) -> t(t(i(A),A),i(A)) collapsed.
% Current number of equations to process: 109
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced : [105] product(i(A),eta(A)) -> j(A)
% Current number of equations to process: 109
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced : [106] difference(i(i(A)),eta(A)) -> i(A)
% Current number of equations to process: 108
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced : [107] quotient(eta(A),i(i(A))) -> i(i(i(A)))
% Current number of equations to process: 107
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced : [108] quotient(product(eta(A),eta(A)),A) -> i(i(i(A)))
% Current number of equations to process: 112
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [109] quotient(product(eta(A),B),difference(A,B)) -> i(i(A))
% Current number of equations to process: 111
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced : [110] quotient(product(eta(A),eta(A)),j(A)) -> i(i(A))
% Current number of equations to process: 110
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [111] quotient(product(A,product(B,j(A))),j(A)) -> difference(j(A),B)
% Current number of equations to process: 111
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced : [112] quotient(i(i(A)),A) -> eta(A)
% Current number of equations to process: 111
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced : [113] quotient(eta(j(A)),A) -> i(A)
% Current number of equations to process: 111
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [114] quotient(product(A,B),difference(eta(A),B)) -> j(j(A))
% Current number of equations to process: 115
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [115] quotient(product(A,eta(eta(A))),j(eta(A))) -> j(j(A))
% Current number of equations to process: 114
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [116] quotient(product(eta(A),product(i(A),B)),B) -> i(i(i(A)))
% Current number of equations to process: 113
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced : [117] quotient(A,i(eta(A))) -> j(j(A))
% Current number of equations to process: 113
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced : [118] t(A,product(j(A),eta(A))) -> i(i(i(A)))
% Current number of equations to process: 118
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [119] product(j(A),eta(A)) -> difference(A,product(eta(A),eta(A)))
% Rule [49] product(A,product(j(A),eta(A))) -> product(eta(A),eta(A))
% collapsed.
% Rule [118] t(A,product(j(A),eta(A))) -> i(i(i(A))) collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced : [120] quotient(product(i(A),product(eta(A),B)),B) -> j(A)
% Current number of equations to process: 119
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [121] product(A,t(A,product(B,A))) <-> product(product(A,A),B)
% Current number of equations to process: 126
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [122] product(product(A,A),B) <-> product(A,t(A,product(B,A)))
% Current number of equations to process: 126
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [123] product(difference(A,B),eta(A)) -> difference(A,product(B,eta(A)))
% Rule [52] product(B,product(difference(B,A),eta(B))) -> product(A,eta(B))
% collapsed.
% Current number of equations to process: 133
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced : [124] product(eta(A),j(A)) -> i(A)
% Rule [85] product(A,product(eta(A),j(A))) -> one collapsed.
% Current number of equations to process: 133
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced : [125] t(A,i(i(A))) -> j(j(A))
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [126] product(quotient(A,i(i(B))),eta(B)) -> quotient(A,B)
% Current number of equations to process: 135
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [127] t(A,t(A,product(B,A))) <-> quotient(product(product(A,A),B),A)
% Current number of equations to process: 134
% Current number of ordered equations: 1
% Current number of rules: 116
% New rule produced :
% [128] quotient(product(product(A,A),B),A) <-> t(A,t(A,product(B,A)))
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [129] product(A,product(eta(A),eta(j(j(A))))) -> j(j(j(j(A))))
% Current number of equations to process: 132
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [130] quotient(product(A,j(j(eta(A)))),eta(eta(A))) -> j(j(A))
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [131] difference(A,product(product(A,A),t(A,B))) -> t(A,product(A,B))
% Current number of equations to process: 129
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [132] quotient(product(product(A,A),B),t(A,product(B,A))) -> A
% Current number of equations to process: 128
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [133] difference(i(i(A)),product(eta(A),B)) -> difference(A,B)
% Rule [54] difference(i(i(A)),product(eta(A),product(A,B))) -> B collapsed.
% Current number of equations to process: 135
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [134] product(A,difference(i(i(A)),B)) -> difference(eta(A),B)
% Rule [55] product(eta(B),product(B,difference(i(i(B)),A))) -> A collapsed.
% Current number of equations to process: 137
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [135] difference(j(j(A)),product(A,B)) -> difference(eta(A),B)
% Rule [56] difference(j(j(A)),product(A,product(eta(A),B))) -> B collapsed.
% Current number of equations to process: 138
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [136] product(eta(A),difference(j(j(A)),B)) -> difference(A,B)
% Rule [57] product(B,product(eta(B),difference(j(j(B)),A))) -> A collapsed.
% Current number of equations to process: 141
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [137] product(A,quotient(B,eta(A))) -> quotient(product(A,B),eta(A))
% Current number of equations to process: 142
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [138] difference(product(A,eta(B)),product(A,i(i(B)))) -> B
% Current number of equations to process: 142
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced : [139] difference(i(i(i(A))),product(eta(A),eta(A))) -> A
% Current number of equations to process: 141
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [140] product(A,i(eta(A))) -> quotient(product(A,eta(eta(A))),eta(A))
% Current number of equations to process: 138
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced : [141] product(A,j(eta(A))) -> quotient(A,eta(A))
% Current number of equations to process: 137
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced : [142] quotient(product(A,j(j(A))),eta(A)) -> product(A,A)
% Current number of equations to process: 140
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [143] product(eta(A),j(j(j(A)))) -> difference(A,eta(j(j(A))))
% Rule [60] product(A,product(eta(A),j(j(j(A))))) -> eta(j(j(A))) collapsed.
% Current number of equations to process: 143
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced : [144] difference(i(A),product(eta(A),eta(A))) -> j(j(A))
% Current number of equations to process: 145
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced : [145] quotient(product(eta(A),eta(A)),j(j(A))) -> i(A)
% Current number of equations to process: 144
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [146] quotient(product(eta(A),eta(A)),i(A)) -> t(i(A),j(j(A)))
% Current number of equations to process: 145
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [147] product(t(eta(A),B),i(eta(A))) -> t(eta(A),product(B,j(eta(A))))
% Current number of equations to process: 143
% Current number of ordered equations: 1
% Current number of rules: 131
% New rule produced :
% [148] product(i(eta(A)),t(eta(A),B)) -> t(eta(A),product(j(eta(A)),B))
% Current number of equations to process: 143
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [149]
% product(t(i(i(A)),B),eta(A)) -> quotient(product(eta(A),product(A,B)),A)
% Current number of equations to process: 142
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [150] quotient(product(A,product(eta(A),B)),eta(A)) -> product(A,t(eta(A),B))
% Current number of equations to process: 140
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [151] quotient(product(i(A),product(B,eta(A))),eta(A)) -> product(i(A),B)
% Current number of equations to process: 139
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced : [152] quotient(i(A),j(A)) -> eta(j(A))
% Current number of equations to process: 148
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [153] difference(product(A,A),product(A,j(j(A)))) -> eta(A)
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [154]
% product(difference(A,product(eta(A),B)),A) -> product(j(A),product(B,A))
% Current number of equations to process: 156
% Current number of ordered equations: 1
% Current number of rules: 138
% New rule produced :
% [155]
% quotient(product(j(A),B),A) -> difference(A,product(eta(A),quotient(B,A)))
% Rule
% [63]
% quotient(product(j(A),product(B,A)),A) -> difference(A,product(eta(A),B))
% collapsed.
% Current number of equations to process: 156
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [156]
% product(product(A,B),quotient(C,A)) -> product(A,quotient(product(B,C),A))
% Rule
% [64]
% difference(C,product(product(C,A),quotient(B,C))) -> quotient(product(A,B),C)
% collapsed.
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [157]
% product(difference(A,product(B,C)),A) ->
% product(difference(A,B),product(C,A))
% Rule
% [65]
% product(difference(A,product(product(A,B),C)),A) -> product(B,product(C,A))
% collapsed.
% Rule
% [154]
% product(difference(A,product(eta(A),B)),A) -> product(j(A),product(B,A))
% collapsed.
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [158]
% product(C,product(difference(product(A,C),B),A)) ->
% product(difference(A,B),A)
% Current number of equations to process: 177
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [159]
% product(difference(A,eta(product(A,B))),A) ->
% product(B,product(j(product(A,B)),A))
% Current number of equations to process: 180
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [160]
% quotient(product(difference(A,B),C),A) ->
% difference(A,product(B,quotient(C,A)))
% Rule
% [68]
% quotient(product(difference(A,B),product(C,A)),A) ->
% difference(A,product(B,C)) collapsed.
% Current number of equations to process: 231
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [161]
% difference(A,product(B,i(A))) -> quotient(difference(A,product(B,eta(A))),A)
% Current number of equations to process: 236
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [162] quotient(product(eta(A),B),i(i(A))) -> t(i(i(A)),difference(A,B))
% Rule [69] quotient(product(eta(A),product(A,B)),i(i(A))) -> t(i(i(A)),B)
% collapsed.
% Current number of equations to process: 235
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [163] quotient(product(A,B),j(j(A))) -> t(j(j(A)),difference(eta(A),B))
% Rule [70] quotient(product(A,product(eta(A),B)),j(j(A))) -> t(j(j(A)),B)
% collapsed.
% Current number of equations to process: 238
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [164] difference(product(A,B),A) -> quotient(difference(B,A),A)
% Current number of equations to process: 236
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [165]
% t(A,quotient(product(B,product(C,A)),A)) <->
% quotient(product(product(A,B),C),A)
% Current number of equations to process: 235
% Current number of ordered equations: 1
% Current number of rules: 142
% New rule produced :
% [166]
% quotient(product(product(A,B),C),A) <->
% t(A,quotient(product(B,product(C,A)),A))
% Current number of equations to process: 235
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [167]
% difference(B,product(product(B,A),t(B,C))) ->
% quotient(product(A,product(B,C)),B)
% Rule [131] difference(A,product(product(A,A),t(A,B))) -> t(A,product(A,B))
% collapsed.
% Current number of equations to process: 234
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [168] quotient(A,t(quotient(A,B),B)) -> t(t(quotient(A,B),B),quotient(A,B))
% Current number of equations to process: 233
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [169] quotient(product(eta(t(A,B)),product(A,B)),A) -> i(i(t(A,B)))
% Current number of equations to process: 232
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [170] quotient(difference(A,product(eta(A),eta(A))),j(A)) -> t(j(A),eta(A))
% Current number of equations to process: 231
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [171]
% product(product(A,B),t(A,C)) ->
% product(A,quotient(product(B,product(A,C)),A))
% Rule
% [167]
% difference(B,product(product(B,A),t(B,C))) ->
% quotient(product(A,product(B,C)),B) collapsed.
% Current number of equations to process: 226
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [172]
% quotient(product(A,quotient(product(B,product(C,A)),A)),C) -> product(A,B)
% Current number of equations to process: 225
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced : [173] difference(i(A),i(i(A))) -> quotient(A,i(A))
% Current number of equations to process: 231
% Current number of ordered equations: 0
% Current number of rules: 148
% 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: 250
% Current number of ordered equations: 0
% Current number of rules: 149
% 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: 249
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [176] quotient(t(eta(A),B),t(eta(A),C)) -> t(eta(A),quotient(B,C))
% Rule [74] quotient(t(eta(A),product(B,C)),t(eta(A),C)) -> t(eta(A),B)
% collapsed.
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [177] difference(t(eta(A),B),t(eta(A),C)) -> t(eta(A),difference(B,C))
% Rule [75] difference(t(eta(A),B),t(eta(A),product(B,C))) -> t(eta(A),C)
% collapsed.
% Current number of equations to process: 268
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced : [178] difference(product(A,B),eta(A)) -> quotient(i(B),A)
% Current number of equations to process: 276
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [179] difference(product(i(A),B),eta(A)) -> quotient(i(B),i(A))
% Current number of equations to process: 276
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [180]
% difference(eta(A),product(A,B)) <-> quotient(difference(j(A),product(B,A)),A)
% Current number of equations to process: 275
% Current number of ordered equations: 1
% Current number of rules: 153
% New rule produced :
% [181]
% quotient(difference(j(A),product(B,A)),A) <-> difference(eta(A),product(A,B))
% Current number of equations to process: 275
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [182]
% difference(A,product(B,C)) <->
% quotient(difference(difference(B,A),product(C,B)),B)
% Current number of equations to process: 278
% Current number of ordered equations: 3
% Current number of rules: 155
% New rule produced :
% [183]
% difference(product(A,B),C) <->
% quotient(difference(B,product(difference(A,C),A)),A)
% Current number of equations to process: 278
% Current number of ordered equations: 2
% Current number of rules: 156
% New rule produced :
% [184]
% quotient(difference(B,product(difference(A,C),A)),A) <->
% difference(product(A,B),C)
% Current number of equations to process: 278
% Current number of ordered equations: 1
% Current number of rules: 157
% New rule produced :
% [185]
% quotient(difference(difference(B,A),product(C,B)),B) <->
% difference(A,product(B,C))
% Current number of equations to process: 278
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced : [186] i(product(A,B)) -> quotient(difference(B,eta(A)),A)
% Current number of equations to process: 284
% Current number of ordered equations: 0
% Current number of rules: 159
% 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 [30] product(j(A),A) -> one collapsed.
% Rule [43] product(t(A,B),A) -> product(A,B) collapsed.
% Rule [61] product(i(A),j(j(A))) -> product(eta(A),eta(A)) collapsed.
% Rule [105] product(i(A),eta(A)) -> j(A) collapsed.
% Rule [119] product(j(A),eta(A)) -> difference(A,product(eta(A),eta(A)))
% collapsed.
% Rule [123] product(difference(A,B),eta(A)) -> difference(A,product(B,eta(A)))
% collapsed.
% Rule [126] product(quotient(A,i(i(B))),eta(B)) -> quotient(A,B) collapsed.
% Rule [147] product(t(eta(A),B),i(eta(A))) -> t(eta(A),product(B,j(eta(A))))
% collapsed.
% Rule
% [149]
% product(t(i(i(A)),B),eta(A)) -> quotient(product(eta(A),product(A,B)),A)
% collapsed.
% Rule
% [157]
% product(difference(A,product(B,C)),A) ->
% product(difference(A,B),product(C,A)) collapsed.
% Rule
% [158]
% product(C,product(difference(product(A,C),B),A)) ->
% product(difference(A,B),A) collapsed.
% Rule
% [159]
% 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.
% The conjecture has been reduced.
% Conjecture is now:
% product(eta(x0),quotient(difference(i(x1),product(x2,x1)),x1)) = product(
% eta(x0),
% quotient(
% product(x1,
% product(x2,
% eta(x0))),
% eta(x0)))
%
% Current number of equations to process: 299
% Current number of ordered equations: 1
% Current number of rules: 145
% 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: 298
% Current number of ordered equations: 1
% Current number of rules: 146
% New rule produced :
% [189] quotient(difference(i(A),product(B,A)),A) <-> product(A,B)
% Current number of equations to process: 298
% Current number of ordered equations: 0
% Current number of rules: 147
% 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: 297
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [191] quotient(difference(eta(A),product(B,A)),A) -> difference(eta(A),B)
% Current number of equations to process: 296
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [192] difference(product(A,B),j(j(A))) -> quotient(difference(B,i(i(A))),A)
% Current number of equations to process: 295
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [193] product(j(A),B) <-> quotient(difference(A,product(B,j(A))),j(A))
% Current number of equations to process: 298
% Current number of ordered equations: 1
% Current number of rules: 151
% New rule produced :
% [194] quotient(difference(A,product(B,j(A))),j(A)) <-> product(j(A),B)
% Current number of equations to process: 298
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced : [195] product(i(A),product(eta(A),B)) -> product(j(A),B)
% Rule [120] quotient(product(i(A),product(eta(A),B)),B) -> j(A) collapsed.
% Current number of equations to process: 315
% Current number of ordered equations: 0
% Current number of rules: 152
% Rule [152] quotient(i(A),j(A)) -> eta(j(A)) is composed into [152]
% quotient(
% i(A),j(A)) ->
% eta(A)
% Rule [143] product(eta(A),j(j(j(A)))) -> difference(A,eta(j(j(A)))) is composed into
% [143] product(eta(A),j(j(j(A)))) -> difference(A,eta(A))
% New rule produced : [196] eta(j(A)) -> eta(A)
% Rule [113] quotient(eta(j(A)),A) -> i(A) collapsed.
% Rule [129] product(A,product(eta(A),eta(j(j(A))))) -> j(j(j(j(A))))
% collapsed.
% Rule
% [190]
% quotient(difference(B,eta(j(A))),j(A)) -> quotient(difference(B,eta(A)),j(A))
% collapsed.
% Current number of equations to process: 318
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced : [197] quotient(product(A,i(B)),j(B)) -> product(A,eta(B))
% Current number of equations to process: 317
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced : [198] product(A,product(eta(A),eta(A))) -> j(j(j(j(A))))
% Current number of equations to process: 318
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced : [199] product(i(A),B) -> product(eta(A),product(j(A),B))
% Rule [12] product(i(i(A)),B) -> product(eta(A),product(A,B)) collapsed.
% Rule [89] product(B,product(i(B),A)) -> quotient(quotient(A,i(B)),B)
% collapsed.
% Rule [96] quotient(product(i(A),product(B,A)),A) -> difference(A,B)
% collapsed.
% Rule [116] quotient(product(eta(A),product(i(A),B)),B) -> i(i(i(A)))
% collapsed.
% Rule [148] product(i(eta(A)),t(eta(A),B)) -> t(eta(A),product(j(eta(A)),B))
% collapsed.
% Rule
% [151] quotient(product(i(A),product(B,eta(A))),eta(A)) -> product(i(A),B)
% collapsed.
% Rule
% [174]
% difference(eta(A),product(i(A),product(A,A))) -> quotient(t(A,eta(A)),i(A))
% collapsed.
% Rule [179] difference(product(i(A),B),eta(A)) -> quotient(i(B),i(A))
% collapsed.
% Rule [195] product(i(A),product(eta(A),B)) -> product(j(A),B) collapsed.
% Current number of equations to process: 325
% Current number of ordered equations: 0
% Current number of rules: 144
% Rule [140] product(A,i(eta(A))) -> quotient(product(A,eta(eta(A))),eta(A)) is composed into
% [140] product(A,i(eta(A))) -> quotient(product(A,one),eta(A))
% New rule produced : [200] eta(eta(A)) -> one
% Rule [115] quotient(product(A,eta(eta(A))),j(eta(A))) -> j(j(A)) collapsed.
% Rule [130] quotient(product(A,j(j(eta(A)))),eta(eta(A))) -> j(j(A))
% collapsed.
% Current number of equations to process: 335
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced : [201] quotient(A,j(eta(A))) -> j(j(A))
% Current number of equations to process: 335
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced : [202] product(A,j(j(eta(A)))) -> j(j(A))
% Current number of equations to process: 334
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced : [203] quotient(t(eta(A),product(B,eta(A))),B) -> eta(A)
% Current number of equations to process: 336
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced : [204] difference(eta(A),t(eta(A),product(B,eta(A)))) -> B
% Current number of equations to process: 339
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced : [205] i(i(eta(A))) -> eta(A)
% Current number of equations to process: 345
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced : [206] t(eta(A),j(A)) -> i(i(i(A)))
% Current number of equations to process: 366
% Current number of ordered equations: 0
% Current number of rules: 149
% Rule [199] product(i(A),B) -> product(eta(A),product(j(A),B)) is composed into
% [199]
% product(i(A),B) -> product(eta(A),quotient(quotient(difference(A,B),A),j(A)))
% Rule [194] quotient(difference(A,product(B,j(A))),j(A)) <-> product(j(A),B) is composed into
% [194]
% quotient(difference(A,product(B,j(A))),j(A)) ->
% quotient(quotient(difference(A,B),A),j(A))
% New rule produced :
% [207] product(j(A),B) -> quotient(quotient(difference(A,B),A),j(A))
% Rule [13] product(j(j(A)),B) -> product(A,product(eta(A),B)) collapsed.
% Rule [90] product(j(B),product(B,A)) -> quotient(quotient(A,B),j(B))
% collapsed.
% Rule
% [155]
% quotient(product(j(A),B),A) -> difference(A,product(eta(A),quotient(B,A)))
% collapsed.
% Rule [193] product(j(A),B) <-> quotient(difference(A,product(B,j(A))),j(A))
% collapsed.
% Current number of equations to process: 375
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [208]
% product(A,product(eta(A),B)) ->
% quotient(quotient(difference(j(A),B),j(A)),j(j(A)))
% Rule [48] quotient(product(A,product(eta(A),B)),B) -> j(j(A)) collapsed.
% Rule
% [150] quotient(product(A,product(eta(A),B)),eta(A)) -> product(A,t(eta(A),B))
% collapsed.
% Rule [198] product(A,product(eta(A),eta(A))) -> j(j(j(j(A)))) collapsed.
% Current number of equations to process: 377
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced : [209] difference(t(A,eta(A)),j(j(A))) -> A
% Current number of equations to process: 381
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced : [210] difference(i(A),j(A)) -> eta(A)
% Current number of equations to process: 385
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced : [211] quotient(j(A),eta(A)) -> i(A)
% Current number of equations to process: 385
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced : [212] quotient(j(A),i(A)) -> t(i(A),eta(A))
% Current number of equations to process: 386
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced : [213] product(A,i(i(i(A)))) -> i(eta(A))
% Rule [95] product(eta(A),product(A,i(i(i(A))))) -> one collapsed.
% Current number of equations to process: 387
% Current number of ordered equations: 0
% Current number of rules: 148
% Rule [17] l(A,B,C) -> difference(product(A,B),product(A,product(B,C))) is composed into
% [17]
% l(A,B,C) ->
% difference(difference(j(A),quotient(quotient(B,A),j(A))),difference(j(A),
% quotient(quotient(
% difference(
% j(B),
% quotient(
% quotient(C,B),
% j(B))),A),
% j(A))))
% New rule produced :
% [214] product(A,B) -> difference(j(A),quotient(quotient(B,A),j(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
% [15]
% quotient(product(B,product(C,A)),A) <-> difference(A,product(product(A,B),C))
% collapsed.
% Rule
% [16]
% difference(A,product(product(A,B),C)) <-> quotient(product(B,product(C,A)),A)
% collapsed.
% Rule [18] product(t(eta(A),B),t(eta(A),C)) -> t(eta(A),product(B,C))
% collapsed.
% Rule
% [19]
% 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
% [20]
% quotient(quotient(product(C,product(A,B)),B),A) <->
% difference(product(A,B),product(A,product(B,C))) collapsed.
% Rule
% [21]
% difference(product(A,B),product(A,product(B,C))) <->
% quotient(quotient(product(C,product(A,B)),B),A) collapsed.
% Rule [29] product(A,i(A)) -> one collapsed.
% Rule [40] product(A,eta(A)) -> j(j(A)) collapsed.
% Rule [47] quotient(product(eta(A),product(A,B)),B) -> i(i(A)) collapsed.
% Rule [50] t(A,product(B,A)) <-> difference(A,product(product(A,A),B))
% collapsed.
% Rule [51] difference(A,product(product(A,A),B)) <-> t(A,product(B,A))
% collapsed.
% Rule [53] quotient(product(A,i(i(B))),B) -> product(A,eta(B)) collapsed.
% Rule [58] quotient(product(A,product(B,eta(A))),eta(A)) -> product(A,B)
% collapsed.
% Rule [62] difference(product(A,B),product(A,product(B,eta(A)))) -> eta(A)
% collapsed.
% Rule
% [66]
% product(A,quotient(product(B,product(C,A)),A)) <-> product(product(A,B),C)
% collapsed.
% Rule
% [67]
% product(product(A,B),C) <-> product(A,quotient(product(B,product(C,A)),A))
% collapsed.
% Rule
% [71]
% difference(i(A),product(eta(A),B)) <->
% quotient(product(A,product(B,i(A))),i(A)) collapsed.
% Rule
% [72]
% quotient(product(A,product(B,i(A))),i(A)) <->
% difference(i(A),product(eta(A),B)) collapsed.
% Rule
% [73]
% difference(product(B,A),product(B,product(A,A))) ->
% quotient(t(A,product(B,A)),B) collapsed.
% Rule
% [76]
% difference(product(A,B),product(A,C)) <->
% quotient(difference(B,product(C,A)),A) collapsed.
% Rule
% [77]
% quotient(difference(B,product(C,A)),A) <->
% difference(product(A,B),product(A,C)) collapsed.
% Rule [86] t(eta(A),product(B,eta(A))) <-> product(eta(A),B) collapsed.
% Rule [87] product(eta(A),B) <-> t(eta(A),product(B,eta(A))) collapsed.
% Rule [91] difference(t(A,B),product(A,B)) -> A collapsed.
% Rule [97] quotient(product(A,B),t(A,B)) -> t(t(A,B),A) collapsed.
% Rule [98] quotient(product(eta(A),product(B,A)),A) -> product(eta(A),B)
% collapsed.
% Rule [101] product(eta(A),t(eta(A),B)) -> t(eta(A),product(eta(A),B))
% collapsed.
% Rule [102] quotient(quotient(product(A,j(j(B))),eta(B)),B) -> A collapsed.
% Rule [108] quotient(product(eta(A),eta(A)),A) -> i(i(i(A))) collapsed.
% Rule [109] quotient(product(eta(A),B),difference(A,B)) -> i(i(A)) collapsed.
% Rule [110] quotient(product(eta(A),eta(A)),j(A)) -> i(i(A)) collapsed.
% Rule [111] quotient(product(A,product(B,j(A))),j(A)) -> difference(j(A),B)
% collapsed.
% Rule [114] quotient(product(A,B),difference(eta(A),B)) -> j(j(A)) collapsed.
% Rule [121] product(A,t(A,product(B,A))) <-> product(product(A,A),B)
% collapsed.
% Rule [122] product(product(A,A),B) <-> product(A,t(A,product(B,A)))
% collapsed.
% Rule [124] product(eta(A),j(A)) -> i(A) collapsed.
% Rule [127] t(A,t(A,product(B,A))) <-> quotient(product(product(A,A),B),A)
% collapsed.
% Rule [128] quotient(product(product(A,A),B),A) <-> t(A,t(A,product(B,A)))
% collapsed.
% Rule [132] quotient(product(product(A,A),B),t(A,product(B,A))) -> A
% collapsed.
% Rule [133] difference(i(i(A)),product(eta(A),B)) -> difference(A,B)
% collapsed.
% Rule [134] product(A,difference(i(i(A)),B)) -> difference(eta(A),B)
% collapsed.
% Rule [135] difference(j(j(A)),product(A,B)) -> difference(eta(A),B)
% collapsed.
% Rule [136] product(eta(A),difference(j(j(A)),B)) -> difference(A,B)
% collapsed.
% Rule [137] product(A,quotient(B,eta(A))) -> quotient(product(A,B),eta(A))
% collapsed.
% Rule [138] difference(product(A,eta(B)),product(A,i(i(B)))) -> B collapsed.
% Rule [139] difference(i(i(i(A))),product(eta(A),eta(A))) -> A collapsed.
% Rule [140] product(A,i(eta(A))) -> quotient(product(A,one),eta(A)) collapsed.
% Rule [141] product(A,j(eta(A))) -> quotient(A,eta(A)) collapsed.
% Rule [142] quotient(product(A,j(j(A))),eta(A)) -> product(A,A) collapsed.
% Rule [143] product(eta(A),j(j(j(A)))) -> difference(A,eta(A)) collapsed.
% Rule [144] difference(i(A),product(eta(A),eta(A))) -> j(j(A)) collapsed.
% Rule [145] quotient(product(eta(A),eta(A)),j(j(A))) -> i(A) collapsed.
% Rule [146] quotient(product(eta(A),eta(A)),i(A)) -> t(i(A),j(j(A)))
% collapsed.
% Rule [153] difference(product(A,A),product(A,j(j(A)))) -> eta(A) collapsed.
% Rule
% [156]
% product(product(A,B),quotient(C,A)) -> product(A,quotient(product(B,C),A))
% collapsed.
% Rule
% [160]
% quotient(product(difference(A,B),C),A) ->
% difference(A,product(B,quotient(C,A))) collapsed.
% Rule
% [161]
% difference(A,product(B,i(A))) -> quotient(difference(A,product(B,eta(A))),A)
% collapsed.
% Rule [162] quotient(product(eta(A),B),i(i(A))) -> t(i(i(A)),difference(A,B))
% collapsed.
% Rule [163] quotient(product(A,B),j(j(A))) -> t(j(j(A)),difference(eta(A),B))
% collapsed.
% Rule [164] difference(product(A,B),A) -> quotient(difference(B,A),A)
% collapsed.
% Rule
% [165]
% t(A,quotient(product(B,product(C,A)),A)) <->
% quotient(product(product(A,B),C),A) collapsed.
% Rule
% [166]
% quotient(product(product(A,B),C),A) <->
% t(A,quotient(product(B,product(C,A)),A)) collapsed.
% Rule [169] quotient(product(eta(t(A,B)),product(A,B)),A) -> i(i(t(A,B)))
% collapsed.
% Rule
% [170] quotient(difference(A,product(eta(A),eta(A))),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
% [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
% [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
% [194]
% quotient(difference(A,product(B,j(A))),j(A)) ->
% quotient(quotient(difference(A,B),A),j(A)) collapsed.
% Rule [197] quotient(product(A,i(B)),j(B)) -> product(A,eta(B)) collapsed.
% Rule
% [199]
% product(i(A),B) -> product(eta(A),quotient(quotient(difference(A,B),A),j(A)))
% collapsed.
% Rule [202] product(A,j(j(eta(A)))) -> j(j(A)) collapsed.
% Rule [203] quotient(t(eta(A),product(B,eta(A))),B) -> eta(A) collapsed.
% Rule [204] difference(eta(A),t(eta(A),product(B,eta(A)))) -> B collapsed.
% Rule [207] product(j(A),B) -> quotient(quotient(difference(A,B),A),j(A))
% collapsed.
% Rule
% [208]
% product(A,product(eta(A),B)) ->
% quotient(quotient(difference(j(A),B),j(A)),j(j(A))) collapsed.
% Rule [213] product(A,i(i(i(A)))) -> i(eta(A)) collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% difference(j(eta(x0)),quotient(quotient(quotient(difference(i(x1),difference(
% j(x2),
% quotient(
% quotient(x1,x2),
% j(x2)))),x1),
% eta(x0)),j(eta(x0)))) = difference(j(eta(x0)),
% quotient(quotient(
% quotient(
% difference(
% j(x1),
% quotient(
% quotient(
% difference(
% j(x2),
% quotient(
% quotient(
% eta(x0),x2),
% j(x2))),x1),
% j(x1))),
% eta(x0)),
% eta(x0)),
% j(eta(x0))))
%
% Current number of equations to process: 465
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [215] difference(j(A),quotient(quotient(j(A),A),j(A))) -> eta(A)
% Current number of equations to process: 454
% Current number of ordered equations: 12
% Current number of rules: 55
% New rule produced :
% [216] difference(A,difference(j(A),quotient(quotient(B,A),j(A)))) -> B
% Current number of equations to process: 454
% Current number of ordered equations: 11
% Current number of rules: 56
% New rule produced :
% [217] difference(j(A),quotient(quotient(difference(A,B),A),j(A))) -> B
% Current number of equations to process: 454
% Current number of ordered equations: 10
% Current number of rules: 57
% New rule produced :
% [218] quotient(difference(j(A),quotient(quotient(B,A),j(A))),B) -> A
% Current number of equations to process: 454
% Current number of ordered equations: 9
% Current number of rules: 58
% New rule produced :
% [219] quotient(difference(j(A),quotient(quotient(B,A),j(A))),A) -> t(A,B)
% Current number of equations to process: 455
% Current number of ordered equations: 7
% Current number of rules: 59
% New rule produced :
% [220]
% quotient(difference(i(quotient(A,B)),difference(j(B),quotient(quotient(
% quotient(A,B),B),
% j(B)))),quotient(A,B))
% -> A
% Current number of equations to process: 454
% Current number of ordered equations: 7
% Current number of rules: 60
% New rule produced :
% [221]
% difference(j(A),quotient(quotient(difference(j(eta(A)),quotient(quotient(B,
% eta(A)),
% j(eta(A)))),A),
% j(A))) -> quotient(quotient(difference(j(A),B),j(A)),j(j(A)))
% Current number of equations to process: 454
% Current number of ordered equations: 6
% Current number of rules: 61
% New rule produced :
% [222]
% difference(j(t(eta(A),B)),quotient(t(eta(A),quotient(C,B)),j(t(eta(A),B))))
% -> t(eta(A),difference(j(B),quotient(quotient(C,B),j(B))))
% Current number of equations to process: 454
% Current number of ordered equations: 5
% Current number of rules: 62
% New rule produced :
% [223]
% difference(difference(j(A),quotient(quotient(B,A),j(A))),difference(j(A),
% quotient(quotient(
% difference(
% j(B),
% quotient(
% quotient(C,B),
% j(B))),A),
% j(A)))) <->
% quotient(quotient(difference(j(C),quotient(quotient(difference(j(A),quotient(
% quotient(B,A),
% j(A))),C),
% j(C))),B),A)
% Current number of equations to process: 45
% Current number of ordered equations: 788
% Current number of rules: 63
% New rule produced :
% [224]
% quotient(quotient(difference(j(C),quotient(quotient(difference(j(A),quotient(
% quotient(B,A),
% j(A))),C),
% j(C))),B),A) <->
% difference(difference(j(A),quotient(quotient(B,A),j(A))),difference(j(A),
% quotient(quotient(
% difference(
% j(B),
% quotient(
% quotient(C,B),
% j(B))),A),
% j(A))))
% Current number of equations to process: 44
% Current number of ordered equations: 788
% Current number of rules: 64
% New rule produced :
% [225]
% difference(A,difference(j(difference(j(A),quotient(quotient(B,A),j(A)))),
% quotient(quotient(C,difference(j(A),quotient(quotient(B,A),j(A)))),
% j(difference(j(A),quotient(quotient(B,A),j(A))))))) <->
% quotient(difference(j(B),quotient(quotient(difference(j(C),quotient(quotient(A,C),
% j(C))),B),
% j(B))),A)
% Current number of equations to process: 95
% Current number of ordered equations: 889
% Current number of rules: 65
% New rule produced :
% [226]
% quotient(difference(j(B),quotient(quotient(difference(j(C),quotient(quotient(A,C),
% j(C))),B),
% j(B))),A) <->
% difference(A,difference(j(difference(j(A),quotient(quotient(B,A),j(A)))),
% quotient(quotient(C,difference(j(A),quotient(quotient(B,A),j(A)))),
% j(difference(j(A),quotient(quotient(B,A),j(A)))))))
% Current number of equations to process: 95
% Current number of ordered equations: 888
% Current number of rules: 66
% New rule produced :
% [227]
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(quotient(difference(difference(j(A),j(j(A))),difference(j(A),
% quotient(t(A,C),
% j(A)))),difference(
% difference(
% j(A),j(j(A))),
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))))))
% ->
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(
% j(B),
% quotient(
% quotient(C,B),
% j(B)))),
% j(A))))
% Current number of equations to process: 96
% Current number of ordered equations: 883
% Current number of rules: 67
% New rule produced : [228] i(eta(A)) -> j(eta(A))
% Rule [117] quotient(A,i(eta(A))) -> j(j(A)) collapsed.
% Rule [205] i(i(eta(A))) -> eta(A) collapsed.
% Current number of equations to process: 116
% Current number of ordered equations: 837
% Current number of rules: 66
% New rule produced : [229] j(j(eta(A))) -> eta(A)
% Current number of equations to process: 159
% Current number of ordered equations: 790
% Current number of rules: 67
% New rule produced : [230] quotient(A,eta(A)) -> i(i(A))
% Current number of equations to process: 161
% Current number of ordered equations: 786
% Current number of rules: 68
% New rule produced : [231] difference(eta(A),i(A)) -> j(A)
% Current number of equations to process: 161
% Current number of ordered equations: 785
% Current number of rules: 69
% New rule produced : [232] quotient(A,j(j(A))) -> eta(A)
% Current number of equations to process: 168
% Current number of ordered equations: 777
% Current number of rules: 70
% New rule produced : [233] 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: 169
% Current number of ordered equations: 771
% Current number of rules: 70
% New rule produced : [234] difference(i(i(A)),A) -> eta(A)
% Current number of equations to process: 169
% Current number of ordered equations: 768
% Current number of rules: 71
% New rule produced : [235] difference(eta(A),i(i(A))) -> A
% Current number of equations to process: 169
% Current number of ordered equations: 767
% Current number of rules: 72
% New rule produced : [236] difference(j(A),eta(A)) -> j(j(A))
% Current number of equations to process: 179
% Current number of ordered equations: 751
% Current number of rules: 73
% New rule produced : [237] difference(j(j(A)),A) -> j(eta(A))
% Current number of equations to process: 179
% Current number of ordered equations: 750
% Current number of rules: 74
% New rule produced : [238] quotient(difference(i(A),A),A) -> A
% Current number of equations to process: 179
% Current number of ordered equations: 749
% Current number of rules: 75
% New rule produced : [239] t(j(A),i(A)) -> j(j(j(A)))
% Current number of equations to process: 180
% Current number of ordered equations: 747
% Current number of rules: 76
% New rule produced : [240] quotient(i(A),eta(A)) -> i(i(i(A)))
% Current number of equations to process: 181
% Current number of ordered equations: 745
% Current number of rules: 77
% New rule produced : [241] quotient(eta(A),j(j(A))) -> j(A)
% Current number of equations to process: 189
% Current number of ordered equations: 736
% Current number of rules: 78
% New rule produced : [242] quotient(i(A),j(eta(A))) -> j(A)
% Current number of equations to process: 196
% Current number of ordered equations: 728
% Current number of rules: 79
% New rule produced : [243] t(eta(A),A) -> i(i(i(i(A))))
% Current number of equations to process: 198
% Current number of ordered equations: 724
% Current number of rules: 80
% New rule produced : [244] t(eta(A),j(B)) -> j(t(eta(A),B))
% Rule [88] t(eta(A),j(j(A))) -> i(i(A)) collapsed.
% Rule [206] t(eta(A),j(A)) -> i(i(i(A))) collapsed.
% Current number of equations to process: 201
% Current number of ordered equations: 706
% Current number of rules: 79
% New rule produced : [245] t(eta(A),i(B)) -> i(t(eta(A),B))
% Current number of equations to process: 202
% Current number of ordered equations: 702
% Current number of rules: 80
% New rule produced : [246] difference(A,difference(j(A),A)) -> i(i(A))
% Current number of equations to process: 202
% Current number of ordered equations: 701
% Current number of rules: 81
% New rule produced : [247] quotient(difference(j(A),A),A) -> j(j(A))
% Current number of equations to process: 202
% Current number of ordered equations: 700
% Current number of rules: 82
% New rule produced : [248] quotient(i(i(A)),eta(A)) -> i(i(i(i(A))))
% Current number of equations to process: 201
% Current number of ordered equations: 700
% Current number of rules: 83
% New rule produced : [249] quotient(j(j(j(A))),eta(A)) -> j(A)
% Current number of equations to process: 202
% Current number of ordered equations: 698
% Current number of rules: 84
% New rule produced : [250] quotient(j(A),j(eta(A))) -> j(j(j(A)))
% Current number of equations to process: 202
% Current number of ordered equations: 697
% Current number of rules: 85
% New rule produced : [251] difference(i(i(i(A))),eta(A)) -> i(i(A))
% Current number of equations to process: 202
% Current number of ordered equations: 694
% Current number of rules: 86
% New rule produced : [252] quotient(A,i(i(A))) -> t(i(i(A)),eta(A))
% Current number of equations to process: 202
% Current number of ordered equations: 691
% Current number of rules: 87
% New rule produced : [253] difference(A,difference(j(A),j(j(A)))) -> A
% Current number of equations to process: 202
% Current number of ordered equations: 690
% Current number of rules: 88
% New rule produced : [254] quotient(difference(j(A),A),i(i(A))) -> A
% Current number of equations to process: 202
% Current number of ordered equations: 689
% Current number of rules: 89
% New rule produced : [255] quotient(difference(j(A),j(j(A))),A) -> A
% Current number of equations to process: 202
% Current number of ordered equations: 687
% Current number of rules: 90
% New rule produced :
% [256] difference(eta(A),t(eta(A),B)) -> quotient(B,eta(A))
% Current number of equations to process: 202
% Current number of ordered equations: 685
% Current number of rules: 91
% New rule produced : [257] difference(t(i(A),eta(A)),j(A)) -> i(A)
% Current number of equations to process: 202
% Current number of ordered equations: 682
% Current number of rules: 92
% New rule produced :
% [258] difference(A,quotient(quotient(A,i(A)),A)) -> eta(A)
% Current number of equations to process: 202
% Current number of ordered equations: 680
% Current number of rules: 93
% New rule produced : [259] quotient(eta(A),i(i(i(A)))) -> i(i(i(i(A))))
% Current number of equations to process: 202
% Current number of ordered equations: 678
% Current number of rules: 94
% New rule produced : [260] t(j(j(A)),j(eta(A))) -> eta(A)
% Current number of equations to process: 202
% Current number of ordered equations: 676
% Current number of rules: 95
% New rule produced : [261] difference(i(i(i(i(A)))),eta(A)) -> i(i(i(A)))
% Current number of equations to process: 202
% Current number of ordered equations: 675
% Current number of rules: 96
% New rule produced :
% [262] difference(j(A),quotient(quotient(i(A),A),j(A))) -> one
% Current number of equations to process: 202
% Current number of ordered equations: 672
% Current number of rules: 97
% New rule produced :
% [263]
% difference(difference(j(B),quotient(quotient(t(A,B),B),j(B))),difference(
% j(B),quotient(
% quotient(A,B),
% j(B)))) ->
% quotient(A,B)
% Current number of equations to process: 202
% Current number of ordered equations: 671
% Current number of rules: 98
% New rule produced :
% [264] quotient(eta(A),t(eta(A),B)) -> t(eta(A),quotient(eta(A),B))
% Current number of equations to process: 202
% Current number of ordered equations: 670
% Current number of rules: 99
% New rule produced :
% [265] quotient(t(eta(A),B),eta(A)) -> t(eta(A),quotient(B,eta(A)))
% Current number of equations to process: 203
% Current number of ordered equations: 667
% Current number of rules: 100
% New rule produced :
% [266] difference(t(eta(A),B),eta(A)) -> t(eta(A),difference(B,eta(A)))
% Current number of equations to process: 203
% Current number of ordered equations: 666
% Current number of rules: 101
% New rule produced : [267] difference(eta(A),A) -> j(j(A))
% Current number of equations to process: 202
% Current number of ordered equations: 666
% Current number of rules: 102
% New rule produced : [268] quotient(quotient(A,j(A)),j(j(A))) -> j(j(A))
% Current number of equations to process: 201
% Current number of ordered equations: 656
% Current number of rules: 103
% New rule produced : [269] quotient(j(j(A)),t(A,eta(A))) -> t(t(A,eta(A)),A)
% Current number of equations to process: 201
% Current number of ordered equations: 653
% Current number of rules: 104
% New rule produced : [270] quotient(eta(A),i(i(i(i(A))))) -> i(i(i(i(i(A)))))
% Current number of equations to process: 201
% Current number of ordered equations: 652
% Current number of rules: 105
% New rule produced : [271] difference(t(j(A),eta(A)),j(j(j(A)))) -> j(A)
% Current number of equations to process: 201
% Current number of ordered equations: 651
% Current number of rules: 106
% New rule produced :
% [272] quotient(quotient(quotient(j(A),A),j(A)),eta(A)) -> j(A)
% Current number of equations to process: 201
% Current number of ordered equations: 650
% Current number of rules: 107
% New rule produced :
% [273] quotient(quotient(quotient(difference(A,B),A),j(A)),B) -> j(A)
% Current number of equations to process: 201
% Current number of ordered equations: 648
% Current number of rules: 108
% New rule produced :
% [274] quotient(difference(A,quotient(quotient(B,i(A)),A)),B) -> i(A)
% Current number of equations to process: 201
% Current number of ordered equations: 647
% Current number of rules: 109
% New rule produced :
% [275] quotient(difference(j(eta(A)),j(j(A))),eta(A)) -> i(i(A))
% Current number of equations to process: 200
% Current number of ordered equations: 646
% Current number of rules: 110
% New rule produced :
% [276] difference(i(A),difference(A,quotient(quotient(B,i(A)),A))) -> B
% Current number of equations to process: 199
% Current number of ordered equations: 645
% Current number of rules: 111
% New rule produced :
% [277] difference(eta(A),difference(j(eta(A)),j(j(A)))) -> j(j(A))
% Current number of equations to process: 199
% Current number of ordered equations: 644
% Current number of rules: 112
% New rule produced :
% [278] difference(A,quotient(quotient(difference(i(A),B),i(A)),A)) -> B
% Current number of equations to process: 199
% Current number of ordered equations: 643
% Current number of rules: 113
% New rule produced :
% [279] quotient(quotient(A,i(B)),B) -> quotient(quotient(A,j(B)),j(j(B)))
% Rule [258] difference(A,quotient(quotient(A,i(A)),A)) -> eta(A) collapsed.
% Rule [274] quotient(difference(A,quotient(quotient(B,i(A)),A)),B) -> i(A)
% collapsed.
% Rule [276] difference(i(A),difference(A,quotient(quotient(B,i(A)),A))) -> B
% collapsed.
% Rule [278] difference(A,quotient(quotient(difference(i(A),B),i(A)),A)) -> B
% collapsed.
% Current number of equations to process: 253
% Current number of ordered equations: 591
% Current number of rules: 110
% New rule produced :
% [280]
% difference(j(eta(A)),quotient(quotient(difference(j(j(A)),quotient(quotient(
% difference(
% j(
% eta(A)),
% quotient(
% quotient(B,
% eta(A)),
% j(
% eta(A)))),
% j(A)),
% j(j(A)))),eta(A)),
% j(eta(A)))) ->
% difference(j(j(A)),quotient(quotient(B,j(A)),j(j(A))))
% Current number of equations to process: 253
% Current number of ordered equations: 590
% Current number of rules: 111
% New rule produced :
% [281]
% difference(eta(A),quotient(quotient(t(eta(A),B),j(eta(A))),eta(A))) ->
% quotient(quotient(quotient(B,j(eta(A))),eta(A)),eta(A))
% Current number of equations to process: 252
% Current number of ordered equations: 590
% Current number of rules: 112
% New rule produced :
% [282]
% difference(eta(A),difference(j(difference(j(eta(A)),eta(A))),quotient(
% quotient(B,
% difference(
% j(eta(A)),
% eta(A))),
% j(difference(
% j(eta(A)),
% eta(A)))))) ->
% difference(j(eta(A)),quotient(quotient(B,eta(A)),j(eta(A))))
% Current number of equations to process: 251
% Current number of ordered equations: 590
% Current number of rules: 113
% New rule produced :
% [283]
% t(eta(A),difference(j(B),quotient(quotient(difference(j(C),quotient(quotient(
% eta(A),C),
% j(C))),B),
% j(B)))) <->
% difference(j(difference(j(eta(A)),quotient(quotient(B,eta(A)),j(eta(A))))),
% quotient(quotient(C,difference(j(eta(A)),quotient(quotient(B,eta(A)),
% j(eta(A))))),j(difference(j(eta(A)),
% quotient(quotient(B,
% eta(A)),
% j(eta(A)))))))
% Current number of equations to process: 251
% Current number of ordered equations: 589
% Current number of rules: 114
% New rule produced :
% [284]
% difference(j(difference(j(eta(A)),quotient(quotient(B,eta(A)),j(eta(A))))),
% quotient(quotient(C,difference(j(eta(A)),quotient(quotient(B,eta(A)),
% j(eta(A))))),j(difference(j(eta(A)),
% quotient(quotient(B,
% eta(A)),
% j(eta(A))))))) <->
% t(eta(A),difference(j(B),quotient(quotient(difference(j(C),quotient(quotient(
% eta(A),C),
% j(C))),B),
% j(B))))
% Current number of equations to process: 252
% Current number of ordered equations: 587
% Current number of rules: 115
% New rule produced : [285] difference(t(t(A,eta(A)),A),j(j(A))) -> t(A,eta(A))
% Current number of equations to process: 252
% Current number of ordered equations: 586
% Current number of rules: 116
% New rule produced :
% [286] quotient(t(eta(A),B),j(eta(A))) -> t(eta(A),quotient(B,j(eta(A))))
% Rule
% [281]
% difference(eta(A),quotient(quotient(t(eta(A),B),j(eta(A))),eta(A))) ->
% quotient(quotient(quotient(B,j(eta(A))),eta(A)),eta(A)) collapsed.
% Current number of equations to process: 259
% Current number of ordered equations: 578
% Current number of rules: 116
% New rule produced :
% [287] quotient(j(eta(A)),t(eta(A),B)) -> t(eta(A),quotient(j(eta(A)),B))
% Current number of equations to process: 259
% Current number of ordered equations: 577
% Current number of rules: 117
% New rule produced :
% [288] difference(t(eta(A),B),j(eta(A))) -> t(eta(A),difference(B,j(eta(A))))
% Current number of equations to process: 255
% Current number of ordered equations: 578
% Current number of rules: 118
% New rule produced :
% [289] difference(j(eta(A)),t(eta(A),B)) -> t(eta(A),difference(j(eta(A)),B))
% Current number of equations to process: 255
% Current number of ordered equations: 577
% Current number of rules: 119
% New rule produced :
% [290] quotient(j(A),t(i(A),eta(A))) -> t(t(i(A),eta(A)),i(A))
% Current number of equations to process: 253
% Current number of ordered equations: 576
% Current number of rules: 120
% New rule produced :
% [291] quotient(difference(j(eta(A)),j(j(A))),j(j(A))) -> eta(A)
% Current number of equations to process: 253
% Current number of ordered equations: 575
% Current number of rules: 121
% New rule produced : [292] t(t(eta(A),B),t(eta(A),C)) -> t(eta(A),t(B,C))
% Current number of equations to process: 258
% Current number of ordered equations: 564
% Current number of rules: 122
% New rule produced :
% [293]
% quotient(difference(j(eta(A)),quotient(quotient(difference(j(j(A)),quotient(
% quotient(
% difference(
% j(B),
% quotient(
% quotient(A,B),
% j(B))),
% j(A)),
% j(
% j(A)))),
% eta(A)),j(eta(A)))),A) ->
% difference(A,B)
% Current number of equations to process: 258
% Current number of ordered equations: 563
% Current number of rules: 123
% New rule produced :
% [294]
% quotient(difference(difference(j(j(A)),quotient(quotient(B,j(A)),j(j(A)))),
% eta(A)),eta(A)) -> quotient(i(B),i(A))
% Current number of equations to process: 258
% Current number of ordered equations: 562
% Current number of rules: 124
% New rule produced :
% [295]
% difference(j(A),quotient(quotient(C,A),j(A))) <->
% quotient(difference(j(A),quotient(quotient(B,A),j(A))),quotient(difference(C,
% difference(
% j(B),
% quotient(
% quotient(A,B),
% j(B)))),A))
% The conjecture has been reduced.
% Conjecture is now:
% difference(j(eta(x0)),quotient(quotient(quotient(difference(i(x1),quotient(
% difference(
% j(x2),
% j(j(x2))),
% quotient(
% difference(x1,
% difference(
% j(x2),
% j(j(x2)))),x2))),x1),
% eta(x0)),j(eta(x0)))) = difference(j(eta(x0)),
% quotient(quotient(
% quotient(
% difference(
% j(x1),
% quotient(
% quotient(
% quotient(
% difference(
% j(x2),
% j(j(x2))),
% quotient(
% difference(
% eta(x0),
% difference(
% j(x2),
% j(j(x2)))),x2)),x1),
% j(x1))),
% eta(x0)),
% eta(x0)),
% j(eta(x0))))
%
% Current number of equations to process: 270
% Current number of ordered equations: 549
% Current number of rules: 125
% New rule produced :
% [296]
% quotient(difference(j(A),quotient(quotient(B,A),j(A))),quotient(difference(C,
% difference(
% j(B),
% quotient(
% quotient(A,B),
% j(B)))),A))
% <-> difference(j(A),quotient(quotient(C,A),j(A)))
% Current number of equations to process: 270
% Current number of ordered equations: 548
% Current number of rules: 126
% New rule produced :
% [297]
% quotient(difference(j(A),quotient(quotient(t(eta(A),difference(j(B),quotient(
% quotient(
% eta(A),B),
% j(B)))),A),
% j(A))),B) -> j(j(A))
% Current number of equations to process: 270
% Current number of ordered equations: 547
% Current number of rules: 127
% New rule produced :
% [298]
% difference(t(eta(A),difference(j(B),quotient(quotient(eta(A),B),j(B)))),
% difference(j(eta(A)),quotient(quotient(B,eta(A)),j(eta(A))))) -> one
% Current number of equations to process: 270
% Current number of ordered equations: 546
% Current number of rules: 128
% New rule produced :
% [299] quotient(quotient(quotient(j(A),A),j(A)),j(A)) -> t(j(A),eta(A))
% Current number of equations to process: 270
% Current number of ordered equations: 545
% Current number of rules: 129
% New rule produced :
% [300] difference(j(j(A)),eta(A)) -> quotient(quotient(j(A),A),j(A))
% Current number of equations to process: 269
% Current number of ordered equations: 545
% Current number of rules: 130
% New rule produced : [301] quotient(quotient(j(A),A),i(A)) -> j(A)
% Current number of equations to process: 268
% Current number of ordered equations: 545
% Current number of rules: 131
% New rule produced :
% [302]
% t(A,difference(j(eta(B)),quotient(quotient(difference(j(B),quotient(quotient(A,B),
% j(B))),eta(B)),
% j(eta(B))))) <->
% difference(A,difference(j(difference(j(A),j(j(A)))),quotient(quotient(
% i(i(B)),
% difference(
% j(A),j(j(A)))),
% j(difference(j(A),
% j(j(A)))))))
% Current number of equations to process: 268
% Current number of ordered equations: 544
% Current number of rules: 132
% New rule produced :
% [303]
% difference(A,difference(j(difference(j(A),j(j(A)))),quotient(quotient(
% i(i(B)),
% difference(
% j(A),j(j(A)))),
% j(difference(j(A),
% j(j(A))))))) <->
% t(A,difference(j(eta(B)),quotient(quotient(difference(j(B),quotient(quotient(A,B),
% j(B))),eta(B)),
% j(eta(B)))))
% Current number of equations to process: 268
% Current number of ordered equations: 543
% Current number of rules: 133
% New rule produced :
% [304]
% t(A,quotient(quotient(difference(j(B),A),j(B)),j(j(B)))) <->
% difference(A,difference(j(difference(j(A),j(j(A)))),quotient(quotient(
% j(j(B)),
% difference(
% j(A),j(j(A)))),
% j(difference(j(A),
% j(j(A)))))))
% Current number of equations to process: 268
% Current number of ordered equations: 542
% Current number of rules: 134
% New rule produced :
% [305]
% difference(A,difference(j(difference(j(A),j(j(A)))),quotient(quotient(
% j(j(B)),
% difference(
% j(A),j(j(A)))),
% j(difference(j(A),
% j(j(A))))))) <->
% t(A,quotient(quotient(difference(j(B),A),j(B)),j(j(B))))
% Current number of equations to process: 268
% Current number of ordered equations: 541
% Current number of rules: 135
% New rule produced :
% [306]
% quotient(difference(j(A),quotient(quotient(i(i(B)),A),j(A))),difference(
% j(A),quotient(
% quotient(
% eta(B),A),
% j(A)))) ->
% t(difference(j(A),quotient(quotient(eta(B),A),j(A))),B)
% Current number of equations to process: 268
% Current number of ordered equations: 540
% Current number of rules: 136
% New rule produced :
% [307] difference(j(A),quotient(quotient(j(eta(A)),A),j(A))) -> i(i(A))
% Current number of equations to process: 267
% Current number of ordered equations: 540
% Current number of rules: 137
% New rule produced :
% [308]
% quotient(difference(j(A),quotient(quotient(difference(j(B),quotient(quotient(
% eta(A),B),
% j(B))),A),
% j(A))),difference(j(A),quotient(quotient(B,A),j(A))))
% -> t(difference(j(A),quotient(quotient(B,A),j(A))),eta(A))
% Current number of equations to process: 267
% Current number of ordered equations: 539
% Current number of rules: 138
% New rule produced :
% [309]
% difference(i(A),difference(j(eta(A)),quotient(quotient(quotient(B,i(A)),
% eta(A)),j(eta(A))))) ->
% quotient(difference(j(A),quotient(quotient(B,A),j(A))),i(A))
% Current number of equations to process: 267
% Current number of ordered equations: 537
% Current number of rules: 139
% New rule produced :
% [310]
% quotient(difference(j(difference(i(A),difference(j(eta(A)),quotient(quotient(B,
% eta(A)),
% j(eta(A)))))),
% quotient(quotient(x2,difference(i(A),difference(j(eta(A)),quotient(
% quotient(B,
% eta(A)),
% j(
% eta(A)))))),
% j(difference(i(A),difference(j(eta(A)),quotient(quotient(B,eta(A)),
% j(eta(A)))))))),quotient(
% difference(
% i(A),
% difference(
% j(x2),
% quotient(
% quotient(
% difference(
% i(A),
% difference(
% j(eta(A)),
% quotient(
% quotient(B,
% eta(A)),
% j(eta(A))))),x2),
% j(x2)))),
% difference(
% i(A),
% difference(
% j(eta(A)),
% quotient(
% quotient(B,
% eta(A)),
% j(eta(A)))))))
% ->
% difference(j(A),quotient(quotient(difference(j(B),quotient(quotient(i(A),B),
% j(B))),A),j(A)))
% Current number of equations to process: 266
% Current number of ordered equations: 537
% Current number of rules: 140
% New rule produced :
% [311]
% quotient(quotient(difference(j(difference(j(A),B)),quotient(quotient(x2,
% difference(
% j(A),B)),
% j(difference(j(A),B)))),
% quotient(difference(eta(A),difference(j(x2),quotient(quotient(
% difference(
% j(A),B),x2),
% j(x2)))),difference(
% j(A),B))),
% j(A)) -> difference(j(A),difference(j(B),quotient(quotient(A,B),j(B))))
% Current number of equations to process: 265
% Current number of ordered equations: 537
% Current number of rules: 141
% New rule produced :
% [312] quotient(difference(j(eta(A)),eta(A)),i(i(i(A)))) -> t(i(i(i(A))),A)
% Current number of equations to process: 264
% Current number of ordered equations: 537
% Current number of rules: 142
% New rule produced :
% [313]
% i(difference(j(A),quotient(quotient(B,A),j(A)))) <->
% quotient(difference(B,eta(A)),A)
% Current number of equations to process: 264
% Current number of ordered equations: 534
% Current number of rules: 143
% New rule produced :
% [314]
% quotient(difference(B,eta(A)),A) <->
% i(difference(j(A),quotient(quotient(B,A),j(A))))
% Current number of equations to process: 264
% Current number of ordered equations: 533
% Current number of rules: 144
% New rule produced :
% [315]
% t(eta(A),difference(j(eta(B)),quotient(quotient(difference(j(B),quotient(
% quotient(
% eta(A),B),
% j(B))),
% eta(B)),j(eta(B))))) <->
% difference(j(eta(A)),quotient(quotient(i(i(B)),eta(A)),j(eta(A))))
% Current number of equations to process: 264
% Current number of ordered equations: 532
% Current number of rules: 145
% New rule produced :
% [316]
% difference(j(eta(A)),quotient(quotient(i(i(B)),eta(A)),j(eta(A)))) <->
% t(eta(A),difference(j(eta(B)),quotient(quotient(difference(j(B),quotient(
% quotient(
% eta(A),B),
% j(B))),
% eta(B)),j(eta(B)))))
% Current number of equations to process: 264
% Current number of ordered equations: 531
% Current number of rules: 146
% New rule produced :
% [317]
% t(eta(A),quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B)))) <->
% difference(j(eta(A)),quotient(quotient(j(j(B)),eta(A)),j(eta(A))))
% Current number of equations to process: 264
% Current number of ordered equations: 530
% Current number of rules: 147
% New rule produced :
% [318]
% difference(j(eta(A)),quotient(quotient(j(j(B)),eta(A)),j(eta(A)))) <->
% t(eta(A),quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))))
% Current number of equations to process: 264
% Current number of ordered equations: 529
% Current number of rules: 148
% New rule produced :
% [319]
% difference(A,difference(j(difference(j(A),j(j(A)))),quotient(quotient(
% eta(B),difference(
% j(A),
% j(
% j(A)))),
% j(difference(j(A),
% j(j(A))))))) ->
% t(A,t(eta(B),difference(j(A),quotient(quotient(eta(B),A),j(A)))))
% Current number of equations to process: 264
% Current number of ordered equations: 528
% Current number of rules: 149
% New rule produced :
% [320]
% difference(difference(j(eta(A)),quotient(quotient(B,eta(A)),j(eta(A)))),
% difference(j(eta(A)),quotient(B,j(eta(A))))) -> eta(A)
% Current number of equations to process: 264
% Current number of ordered equations: 527
% Current number of rules: 150
% New rule produced :
% [321] difference(i(A),difference(A,quotient(t(i(A),eta(A)),A))) -> j(A)
% Current number of equations to process: 264
% Current number of ordered equations: 526
% Current number of rules: 151
% New rule produced :
% [322] quotient(quotient(quotient(difference(A,B),A),j(A)),j(A)) -> t(j(A),B)
% Current number of equations to process: 263
% Current number of ordered equations: 525
% Current number of rules: 152
% New rule produced :
% [323] quotient(difference(A,quotient(t(i(A),eta(A)),A)),j(A)) -> i(A)
% Current number of equations to process: 263
% Current number of ordered equations: 524
% Current number of rules: 153
% New rule produced :
% [324] quotient(difference(A,quotient(quotient(B,j(A)),j(j(A)))),B) -> i(A)
% Current number of equations to process: 261
% Current number of ordered equations: 524
% Current number of rules: 154
% New rule produced :
% [325]
% quotient(difference(A,quotient(quotient(B,j(A)),j(j(A)))),i(A)) -> t(i(A),B)
% Current number of equations to process: 260
% Current number of ordered equations: 524
% Current number of rules: 155
% New rule produced :
% [326]
% quotient(quotient(difference(j(A),A),j(A)),j(j(A))) -> difference(j(A),A)
% Current number of equations to process: 260
% Current number of ordered equations: 523
% Current number of rules: 156
% New rule produced :
% [327]
% difference(eta(B),difference(B,quotient(quotient(difference(j(B),quotient(
% quotient(A,B),
% j(B))),
% j(B)),j(j(B))))) <->
% quotient(quotient(difference(j(A),quotient(quotient(eta(B),A),j(A))),B),i(B))
% Current number of equations to process: 258
% Current number of ordered equations: 524
% Current number of rules: 157
% New rule produced :
% [328]
% quotient(quotient(difference(j(A),quotient(quotient(eta(B),A),j(A))),B),i(B))
% <->
% difference(eta(B),difference(B,quotient(quotient(difference(j(B),quotient(
% quotient(A,B),
% j(B))),
% j(B)),j(j(B)))))
% Current number of equations to process: 258
% Current number of ordered equations: 523
% Current number of rules: 158
% New rule produced :
% [329]
% difference(B,difference(j(C),quotient(quotient(difference(j(difference(C,B)),
% quotient(quotient(A,difference(C,B)),
% j(difference(C,B)))),C),
% j(C)))) <->
% quotient(quotient(difference(j(A),quotient(quotient(B,A),j(A))),difference(C,B)),C)
% Current number of equations to process: 258
% Current number of ordered equations: 519
% Current number of rules: 159
% New rule produced :
% [330]
% quotient(quotient(difference(j(A),quotient(quotient(B,A),j(A))),difference(C,B)),C)
% <->
% difference(B,difference(j(C),quotient(quotient(difference(j(difference(C,B)),
% quotient(quotient(A,difference(C,B)),
% j(difference(C,B)))),C),
% j(C))))
% Current number of equations to process: 258
% Current number of ordered equations: 515
% Current number of rules: 160
% New rule produced :
% [331]
% difference(B,difference(j(quotient(B,C)),quotient(quotient(difference(
% j(C),quotient(
% quotient(A,C),
% j(C))),
% quotient(B,C)),j(quotient(B,C)))))
% <->
% quotient(quotient(difference(j(A),quotient(quotient(B,A),j(A))),C),quotient(B,C))
% Current number of equations to process: 258
% Current number of ordered equations: 513
% Current number of rules: 161
% New rule produced :
% [332]
% quotient(quotient(difference(j(A),quotient(quotient(B,A),j(A))),C),quotient(B,C))
% <->
% difference(B,difference(j(quotient(B,C)),quotient(quotient(difference(
% j(C),quotient(
% quotient(A,C),
% j(C))),
% quotient(B,C)),j(quotient(B,C)))))
% Current number of equations to process: 258
% Current number of ordered equations: 511
% Current number of rules: 162
% New rule produced :
% [333]
% difference(eta(B),difference(j(B),quotient(quotient(difference(j(j(B)),
% quotient(quotient(A,j(B)),
% j(j(B)))),B),j(B)))) <->
% quotient(quotient(difference(j(A),quotient(quotient(eta(B),A),j(A))),j(B)),B)
% Current number of equations to process: 258
% Current number of ordered equations: 507
% Current number of rules: 163
% New rule produced :
% [334]
% quotient(quotient(difference(j(A),quotient(quotient(eta(B),A),j(A))),j(B)),B)
% <->
% difference(eta(B),difference(j(B),quotient(quotient(difference(j(j(B)),
% quotient(quotient(A,j(B)),
% j(j(B)))),B),j(B))))
% Current number of equations to process: 258
% Current number of ordered equations: 503
% Current number of rules: 164
% New rule produced :
% [335]
% difference(difference(j(C),quotient(quotient(A,C),j(C))),difference(j(C),
% quotient(quotient(
% difference(
% j(A),
% quotient(
% quotient(B,A),
% j(A))),C),
% j(C)))) <->
% quotient(difference(A,difference(j(difference(j(A),quotient(quotient(B,A),
% j(A)))),quotient(quotient(C,
% difference(
% j(A),
% quotient(
% quotient(B,A),
% j(A)))),
% j(difference(
% j(A),quotient(
% quotient(B,A),
% j(A))))))),C)
% Current number of equations to process: 258
% Current number of ordered equations: 502
% Current number of rules: 165
% New rule produced :
% [336]
% quotient(difference(A,difference(j(difference(j(A),quotient(quotient(B,A),
% j(A)))),quotient(quotient(C,
% difference(
% j(A),
% quotient(
% quotient(B,A),
% j(A)))),
% j(difference(
% j(A),quotient(
% quotient(B,A),
% j(A))))))),C)
% <->
% difference(difference(j(C),quotient(quotient(A,C),j(C))),difference(j(C),
% quotient(quotient(
% difference(
% j(A),
% quotient(
% quotient(B,A),
% j(A))),C),
% j(C))))
% Current number of equations to process: 258
% Current number of ordered equations: 501
% Current number of rules: 166
% New rule produced :
% [337]
% difference(difference(j(A),quotient(quotient(B,A),j(A))),A) ->
% quotient(difference(B,A),A)
% Current number of equations to process: 257
% Current number of ordered equations: 499
% Current number of rules: 167
% New rule produced :
% [338]
% quotient(difference(j(difference(j(A),quotient(quotient(B,A),j(A)))),
% quotient(quotient(C,difference(j(A),quotient(quotient(B,A),j(A)))),
% j(difference(j(A),quotient(quotient(B,A),j(A)))))),quotient(
% difference(
% j(B),quotient(
% quotient(
% difference(
% j(C),
% quotient(
% quotient(A,C),
% j(C))),B),
% j(B))),A))
% -> A
% Current number of equations to process: 257
% Current number of ordered equations: 497
% Current number of rules: 168
% New rule produced :
% [339] difference(t(A,B),difference(j(A),quotient(quotient(B,A),j(A)))) -> A
% Current number of equations to process: 257
% Current number of ordered equations: 494
% Current number of rules: 169
% New rule produced :
% [340]
% difference(difference(A,difference(j(difference(j(A),quotient(quotient(B,A),
% j(A)))),quotient(
% quotient(C,
% difference(
% j(A),quotient(
% quotient(B,A),
% j(A)))),
% j(difference(
% j(A),quotient(
% quotient(B,A),
% j(A))))))),
% difference(j(B),quotient(quotient(difference(j(C),quotient(quotient(A,C),
% j(C))),B),j(B)))) -> A
% Current number of equations to process: 257
% Current number of ordered equations: 492
% Current number of rules: 170
% New rule produced :
% [341]
% t(eta(B),difference(j(difference(eta(B),A)),quotient(quotient(C,difference(
% eta(B),A)),
% j(difference(eta(B),A))))) ->
% difference(j(quotient(A,eta(B))),quotient(quotient(t(eta(B),C),quotient(A,
% eta(B))),
% j(quotient(A,eta(B)))))
% Current number of equations to process: 258
% Current number of ordered equations: 490
% Current number of rules: 171
% New rule produced :
% [342]
% difference(j(t(eta(A),B)),quotient(quotient(quotient(C,eta(A)),t(eta(A),B)),
% j(t(eta(A),B)))) ->
% t(eta(A),difference(j(B),quotient(quotient(difference(eta(A),C),B),j(B))))
% Current number of equations to process: 258
% Current number of ordered equations: 489
% Current number of rules: 172
% New rule produced :
% [343]
% quotient(t(eta(A),difference(j(eta(A)),quotient(difference(j(A),quotient(
% quotient(B,A),
% j(A))),
% j(eta(A))))),B) -> i(i(i(i(A))))
% Current number of equations to process: 257
% Current number of ordered equations: 489
% Current number of rules: 173
% New rule produced :
% [344]
% quotient(difference(j(eta(A)),quotient(quotient(quotient(quotient(difference(
% j(A),B),
% j(A)),j(j(A))),
% eta(A)),j(eta(A)))),B) -> A
% Current number of equations to process: 257
% Current number of ordered equations: 488
% Current number of rules: 174
% New rule produced :
% [345]
% quotient(difference(j(eta(A)),quotient(quotient(difference(j(A),quotient(
% quotient(
% i(i(B)),A),
% j(A))),
% eta(A)),j(eta(A)))),B) ->
% difference(j(eta(A)),quotient(quotient(difference(j(A),quotient(quotient(
% eta(B),A),
% j(A))),eta(A)),
% j(eta(A))))
% Current number of equations to process: 256
% Current number of ordered equations: 487
% Current number of rules: 175
% New rule produced :
% [346]
% quotient(quotient(quotient(difference(j(A),i(i(B))),j(A)),j(j(A))),B) ->
% quotient(quotient(difference(j(A),eta(B)),j(A)),j(j(A)))
% Current number of equations to process: 256
% Current number of ordered equations: 486
% Current number of rules: 176
% New rule produced :
% [347]
% difference(A,difference(j(eta(A)),quotient(quotient(quotient(quotient(
% difference(
% j(A),B),
% j(A)),j(j(A))),
% eta(A)),j(eta(A))))) -> B
% Current number of equations to process: 256
% Current number of ordered equations: 485
% Current number of rules: 177
% New rule produced :
% [348]
% difference(difference(j(A),quotient(quotient(B,A),j(A))),difference(j(A),
% quotient(quotient(
% quotient(
% difference(
% j(B),
% quotient(
% quotient(
% difference(
% j(C),
% quotient(
% quotient(A,C),
% j(C))),B),
% j(B))),A),A),
% j(A)))) -> C
% Current number of equations to process: 256
% Current number of ordered equations: 484
% Current number of rules: 178
% New rule produced :
% [349]
% quotient(difference(A,quotient(quotient(difference(j(B),quotient(quotient(
% i(i(A)),B),
% j(B))),j(A)),
% j(j(A)))),i(i(A))) -> difference(A,B)
% Current number of equations to process: 255
% Current number of ordered equations: 484
% Current number of rules: 179
% New rule produced :
% [350]
% difference(j(A),quotient(quotient(quotient(difference(j(B),quotient(quotient(
% t(B,
% difference(
% j(A),
% quotient(
% quotient(B,A),
% j(A)))),B),
% j(B))),A),A),
% j(A))) ->
% difference(j(A),quotient(quotient(difference(j(B),j(j(B))),A),j(A)))
% Current number of equations to process: 255
% Current number of ordered equations: 483
% Current number of rules: 180
% New rule produced :
% [351]
% difference(eta(A),difference(j(A),quotient(quotient(difference(j(j(A)),
% j(j(j(A)))),A),j(A)))) ->
% quotient(t(j(A),eta(A)),A)
% Current number of equations to process: 255
% Current number of ordered equations: 482
% Current number of rules: 181
% New rule produced :
% [352]
% difference(difference(j(A),quotient(quotient(B,A),j(A))),difference(j(
% difference(
% j(A),
% quotient(
% quotient(C,A),
% j(A)))),
% quotient(quotient(V_3,
% difference(
% j(A),
% quotient(
% quotient(C,A),
% j(A)))),
% j(difference(
% j(A),quotient(
% quotient(C,A),
% j(A)))))))
% <->
% quotient(difference(B,difference(j(C),quotient(quotient(difference(j(V_3),
% quotient(quotient(A,V_3),
% j(V_3))),C),j(C)))),A)
% Current number of equations to process: 256
% Current number of ordered equations: 480
% Current number of rules: 182
% New rule produced :
% [353]
% quotient(difference(B,difference(j(C),quotient(quotient(difference(j(V_3),
% quotient(quotient(A,V_3),
% j(V_3))),C),j(C)))),A)
% <->
% difference(difference(j(A),quotient(quotient(B,A),j(A))),difference(j(
% difference(
% j(A),
% quotient(
% quotient(C,A),
% j(A)))),
% quotient(quotient(V_3,
% difference(
% j(A),
% quotient(
% quotient(C,A),
% j(A)))),
% j(difference(
% j(A),quotient(
% quotient(C,A),
% j(A)))))))
% Current number of equations to process: 256
% Current number of ordered equations: 479
% Current number of rules: 183
% New rule produced :
% [354]
% difference(difference(difference(j(A),quotient(quotient(B,A),j(A))),difference(
% j(A),
% quotient(
% quotient(C,A),
% j(A)))),
% difference(B,difference(j(C),quotient(quotient(A,C),j(C))))) -> A
% Current number of equations to process: 256
% Current number of ordered equations: 478
% Current number of rules: 184
% New rule produced :
% [355]
% difference(difference(j(B),quotient(quotient(difference(j(C),quotient(
% quotient(A,C),
% j(C))),B),
% j(B))),difference(j(B),quotient(quotient(C,B),
% j(B)))) ->
% quotient(quotient(difference(A,difference(j(B),quotient(quotient(C,B),j(B)))),C),B)
% Current number of equations to process: 257
% Current number of ordered equations: 475
% Current number of rules: 185
% New rule produced :
% [356]
% t(eta(A),difference(j(B),quotient(quotient(difference(j(C),quotient(quotient(
% eta(A),C),
% j(C))),B),
% j(B)))) <->
% difference(j(t(eta(A),B)),quotient(quotient(difference(j(eta(A)),quotient(
% quotient(C,
% eta(A)),
% j(eta(A)))),
% t(eta(A),B)),j(t(eta(A),B))))
% Current number of equations to process: 257
% Current number of ordered equations: 474
% Current number of rules: 186
% New rule produced :
% [357]
% difference(j(t(eta(A),B)),quotient(quotient(difference(j(eta(A)),quotient(
% quotient(C,
% eta(A)),
% j(eta(A)))),
% t(eta(A),B)),j(t(eta(A),B)))) <->
% t(eta(A),difference(j(B),quotient(quotient(difference(j(C),quotient(quotient(
% eta(A),C),
% j(C))),B),
% j(B))))
% Current number of equations to process: 257
% Current number of ordered equations: 473
% Current number of rules: 187
% New rule produced :
% [358]
% t(eta(A),t(eta(B),difference(j(eta(A)),quotient(quotient(eta(B),eta(A)),
% j(eta(A)))))) ->
% difference(j(eta(A)),quotient(quotient(eta(B),eta(A)),j(eta(A))))
% Current number of equations to process: 257
% Current number of ordered equations: 472
% Current number of rules: 188
% New rule produced :
% [359]
% difference(difference(A,difference(j(difference(j(A),j(j(A)))),quotient(
% quotient(B,
% difference(
% j(A),j(j(A)))),
% j(difference(
% j(A),
% j(j(A))))))),
% difference(j(A),quotient(B,j(A)))) -> A
% Current number of equations to process: 257
% Current number of ordered equations: 471
% Current number of rules: 189
% New rule produced :
% [360] difference(j(A),quotient(quotient(i(i(i(A))),A),j(A))) -> j(eta(A))
% Current number of equations to process: 256
% Current number of ordered equations: 471
% Current number of rules: 190
% New rule produced :
% [361] difference(t(t(quotient(A,B),B),quotient(A,B)),A) -> t(quotient(A,B),B)
% Current number of equations to process: 256
% Current number of ordered equations: 470
% Current number of rules: 191
% New rule produced :
% [362]
% t(eta(A),quotient(B,difference(eta(A),C))) <->
% quotient(t(eta(A),B),quotient(C,eta(A)))
% Current number of equations to process: 256
% Current number of ordered equations: 469
% Current number of rules: 192
% New rule produced :
% [363]
% t(eta(B),quotient(difference(eta(B),A),C)) ->
% quotient(quotient(A,eta(B)),t(eta(B),C))
% Current number of equations to process: 256
% Current number of ordered equations: 468
% Current number of rules: 193
% New rule produced :
% [364]
% quotient(t(eta(A),B),quotient(C,eta(A))) <->
% t(eta(A),quotient(B,difference(eta(A),C)))
% Current number of equations to process: 256
% Current number of ordered equations: 467
% Current number of rules: 194
% New rule produced :
% [365]
% t(eta(B),difference(difference(eta(B),A),C)) ->
% difference(quotient(A,eta(B)),t(eta(B),C))
% Current number of equations to process: 256
% Current number of ordered equations: 466
% Current number of rules: 195
% New rule produced :
% [366]
% difference(t(eta(A),B),quotient(C,eta(A))) ->
% t(eta(A),difference(B,difference(eta(A),C)))
% Current number of equations to process: 256
% Current number of ordered equations: 465
% Current number of rules: 196
% New rule produced :
% [367] difference(t(t(i(A),eta(A)),i(A)),j(A)) -> t(i(A),eta(A))
% Current number of equations to process: 256
% Current number of ordered equations: 464
% Current number of rules: 197
% New rule produced :
% [368] difference(A,difference(j(A),quotient(t(A,eta(A)),j(A)))) -> j(j(A))
% Current number of equations to process: 256
% Current number of ordered equations: 463
% Current number of rules: 198
% New rule produced :
% [369] difference(i(A),difference(A,quotient(quotient(B,j(A)),j(j(A))))) -> B
% Current number of equations to process: 255
% Current number of ordered equations: 463
% Current number of rules: 199
% New rule produced :
% [370] difference(A,quotient(quotient(difference(i(A),B),j(A)),j(j(A)))) -> B
% Current number of equations to process: 254
% Current number of ordered equations: 463
% Current number of rules: 200
% New rule produced :
% [371]
% difference(A,difference(j(A),quotient(B,j(A)))) <->
% difference(j(B),quotient(quotient(A,B),j(B)))
% Current number of equations to process: 255
% Current number of ordered equations: 460
% Current number of rules: 201
% New rule produced :
% [372]
% difference(j(B),quotient(quotient(A,B),j(B))) <->
% difference(A,difference(j(A),quotient(B,j(A))))
% Rule
% [310]
% quotient(difference(j(difference(i(A),difference(j(eta(A)),quotient(quotient(B,
% eta(A)),
% j(eta(A)))))),
% quotient(quotient(x2,difference(i(A),difference(j(eta(A)),quotient(
% quotient(B,
% eta(A)),
% j(
% eta(A)))))),
% j(difference(i(A),difference(j(eta(A)),quotient(quotient(B,eta(A)),
% j(eta(A)))))))),quotient(
% difference(
% i(A),
% difference(
% j(x2),
% quotient(
% quotient(
% difference(
% i(A),
% difference(
% j(eta(A)),
% quotient(
% quotient(B,
% eta(A)),
% j(eta(A))))),x2),
% j(x2)))),
% difference(
% i(A),
% difference(
% j(eta(A)),
% quotient(
% quotient(B,
% eta(A)),
% j(eta(A)))))))
% ->
% difference(j(A),quotient(quotient(difference(j(B),quotient(quotient(i(A),B),
% j(B))),A),j(A))) collapsed.
% Rule
% [311]
% quotient(quotient(difference(j(difference(j(A),B)),quotient(quotient(x2,
% difference(
% j(A),B)),
% j(difference(j(A),B)))),
% quotient(difference(eta(A),difference(j(x2),quotient(quotient(
% difference(
% j(A),B),x2),
% j(x2)))),difference(
% j(A),B))),
% j(A)) -> difference(j(A),difference(j(B),quotient(quotient(A,B),j(B))))
% collapsed.
% Current number of equations to process: 265
% Current number of ordered equations: 449
% Current number of rules: 200
% New rule produced :
% [373] quotient(quotient(difference(j(A),j(eta(A))),j(A)),j(j(A))) -> A
% Current number of equations to process: 264
% Current number of ordered equations: 448
% Current number of rules: 201
% New rule produced :
% [374]
% difference(difference(j(B),quotient(quotient(A,B),j(B))),difference(j(B),
% quotient(quotient(
% difference(
% j(A),
% quotient(
% quotient(
% j(difference(
% j(B),
% quotient(
% quotient(A,B),
% j(B)))),A),
% j(A))),B),
% j(B)))) ->
% quotient(j(A),B)
% Current number of equations to process: 264
% Current number of ordered equations: 447
% Current number of rules: 202
% New rule produced :
% [375]
% quotient(quotient(difference(j(B),quotient(quotient(difference(j(A),quotient(
% quotient(
% j(B),A),
% j(A))),B),
% j(B))),j(B)),A) ->
% quotient(difference(j(B),A),A)
% Current number of equations to process: 263
% Current number of ordered equations: 447
% Current number of rules: 203
% New rule produced :
% [376]
% quotient(t(eta(A),difference(j(eta(A)),quotient(difference(j(j(A)),quotient(
% quotient(B,
% j(A)),
% j(
% j(A)))),
% j(eta(A))))),B) -> i(i(i(A)))
% Current number of equations to process: 262
% Current number of ordered equations: 447
% Current number of rules: 204
% New rule produced : [377] difference(j(eta(A)),j(A)) -> i(A)
% Current number of equations to process: 261
% Current number of ordered equations: 447
% Current number of rules: 205
% New rule produced :
% [378]
% difference(A,difference(j(quotient(A,B)),quotient(quotient(difference(
% j(B),quotient(
% quotient(
% eta(quotient(A,B)),B),
% j(B))),
% quotient(A,B)),j(quotient(A,B)))))
% -> eta(quotient(A,B))
% Current number of equations to process: 261
% Current number of ordered equations: 446
% Current number of rules: 206
% New rule produced :
% [379]
% difference(difference(j(A),quotient(quotient(t(eta(A),B),A),j(A))),quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(
% j(A)))) ->
% eta(A)
% Current number of equations to process: 261
% Current number of ordered equations: 445
% Current number of rules: 207
% New rule produced :
% [380]
% difference(A,difference(j(eta(A)),quotient(quotient(quotient(B,A),eta(A)),
% j(eta(A))))) ->
% quotient(quotient(quotient(difference(A,B),A),j(A)),A)
% Current number of equations to process: 261
% Current number of ordered equations: 444
% Current number of rules: 208
% New rule produced :
% [381]
% difference(A,quotient(quotient(quotient(difference(j(A),quotient(quotient(
% difference(
% j(B),
% quotient(
% quotient(
% i(A),B),
% j(B))),A),
% j(A))),i(A)),
% j(A)),j(j(A)))) <->
% difference(j(eta(A)),quotient(quotient(B,eta(A)),j(eta(A))))
% Current number of equations to process: 259
% Current number of ordered equations: 445
% Current number of rules: 209
% New rule produced :
% [382]
% difference(j(eta(A)),quotient(quotient(B,eta(A)),j(eta(A)))) <->
% difference(A,quotient(quotient(quotient(difference(j(A),quotient(quotient(
% difference(
% j(B),
% quotient(
% quotient(
% i(A),B),
% j(B))),A),
% j(A))),i(A)),
% j(A)),j(j(A))))
% Current number of equations to process: 259
% Current number of ordered equations: 444
% Current number of rules: 210
% New rule produced :
% [383]
% difference(difference(j(A),quotient(quotient(B,A),j(A))),eta(A)) ->
% quotient(i(B),A)
% Current number of equations to process: 259
% Current number of ordered equations: 443
% Current number of rules: 211
% New rule produced : [384] quotient(difference(j(j(A)),j(A)),i(A)) -> j(A)
% Current number of equations to process: 256
% Current number of ordered equations: 443
% Current number of rules: 212
% New rule produced :
% [385]
% difference(C,difference(j(difference(j(C),quotient(quotient(A,C),j(C)))),
% quotient(quotient(i(i(B)),difference(j(C),quotient(quotient(A,C),
% j(C)))),j(difference(
% j(C),
% quotient(
% quotient(A,C),
% j(C)))))))
% <->
% quotient(difference(j(A),quotient(quotient(difference(j(eta(B)),quotient(
% quotient(
% difference(
% j(B),
% quotient(
% quotient(C,B),
% j(B))),
% eta(B)),
% j(eta(B)))),A),
% j(A))),C)
% Current number of equations to process: 255
% Current number of ordered equations: 442
% Current number of rules: 213
% New rule produced :
% [386]
% difference(C,difference(j(difference(j(C),quotient(quotient(i(i(A)),C),j(C)))),
% quotient(quotient(B,difference(j(C),quotient(quotient(i(i(A)),C),
% j(C)))),j(difference(
% j(C),quotient(
% quotient(
% i(i(A)),C),
% j(C)))))))
% <->
% quotient(difference(j(eta(A)),quotient(quotient(difference(j(A),quotient(
% quotient(
% difference(
% j(B),
% quotient(
% quotient(C,B),
% j(B))),A),
% j(A))),
% eta(A)),j(eta(A)))),C)
% Current number of equations to process: 255
% Current number of ordered equations: 441
% Current number of rules: 214
% New rule produced :
% [387]
% quotient(difference(j(A),quotient(quotient(difference(j(eta(B)),quotient(
% quotient(
% difference(
% j(B),
% quotient(
% quotient(C,B),
% j(B))),
% eta(B)),
% j(eta(B)))),A),
% j(A))),C) <->
% difference(C,difference(j(difference(j(C),quotient(quotient(A,C),j(C)))),
% quotient(quotient(i(i(B)),difference(j(C),quotient(quotient(A,C),
% j(C)))),j(difference(
% j(C),
% quotient(
% quotient(A,C),
% j(C)))))))
% Current number of equations to process: 255
% Current number of ordered equations: 440
% Current number of rules: 215
% New rule produced :
% [388]
% quotient(difference(j(eta(A)),quotient(quotient(difference(j(A),quotient(
% quotient(
% difference(
% j(B),
% quotient(
% quotient(C,B),
% j(B))),A),
% j(A))),
% eta(A)),j(eta(A)))),C) <->
% difference(C,difference(j(difference(j(C),quotient(quotient(i(i(A)),C),j(C)))),
% quotient(quotient(B,difference(j(C),quotient(quotient(i(i(A)),C),
% j(C)))),j(difference(
% j(C),quotient(
% quotient(
% i(i(A)),C),
% j(C)))))))
% Current number of equations to process: 255
% Current number of ordered equations: 439
% Current number of rules: 216
% New rule produced :
% [389]
% difference(C,difference(j(difference(j(C),quotient(quotient(A,C),j(C)))),
% quotient(quotient(j(j(B)),difference(j(C),quotient(quotient(A,C),
% j(C)))),j(difference(
% j(C),
% quotient(
% quotient(A,C),
% j(C)))))))
% <->
% quotient(difference(j(A),quotient(quotient(quotient(quotient(difference(
% j(B),C),
% j(B)),j(j(B))),A),
% j(A))),C)
% Current number of equations to process: 255
% Current number of ordered equations: 438
% Current number of rules: 217
% New rule produced :
% [390]
% difference(C,difference(j(difference(j(C),quotient(quotient(j(j(A)),C),j(C)))),
% quotient(quotient(B,difference(j(C),quotient(quotient(j(j(A)),C),
% j(C)))),j(difference(
% j(C),quotient(
% quotient(
% j(j(A)),C),
% j(C)))))))
% <->
% quotient(quotient(quotient(difference(j(A),difference(j(B),quotient(quotient(C,B),
% j(B)))),j(A)),
% j(j(A))),C)
% Current number of equations to process: 255
% Current number of ordered equations: 437
% Current number of rules: 218
% New rule produced :
% [391]
% quotient(difference(j(A),quotient(quotient(quotient(quotient(difference(
% j(B),C),
% j(B)),j(j(B))),A),
% j(A))),C) <->
% difference(C,difference(j(difference(j(C),quotient(quotient(A,C),j(C)))),
% quotient(quotient(j(j(B)),difference(j(C),quotient(quotient(A,C),
% j(C)))),j(difference(
% j(C),
% quotient(
% quotient(A,C),
% j(C)))))))
% Current number of equations to process: 255
% Current number of ordered equations: 436
% Current number of rules: 219
% New rule produced :
% [392]
% quotient(quotient(quotient(difference(j(A),difference(j(B),quotient(quotient(C,B),
% j(B)))),j(A)),
% j(j(A))),C) <->
% difference(C,difference(j(difference(j(C),quotient(quotient(j(j(A)),C),j(C)))),
% quotient(quotient(B,difference(j(C),quotient(quotient(j(j(A)),C),
% j(C)))),j(difference(
% j(C),quotient(
% quotient(
% j(j(A)),C),
% j(C)))))))
% Current number of equations to process: 255
% Current number of ordered equations: 435
% Current number of rules: 220
% New rule produced :
% [393]
% difference(quotient(A,B),difference(j(A),quotient(quotient(C,A),j(A)))) <->
% quotient(difference(j(B),quotient(quotient(difference(j(C),quotient(quotient(
% quotient(A,B),C),
% j(C))),B),
% j(B))),quotient(A,B))
% Current number of equations to process: 255
% Current number of ordered equations: 434
% Current number of rules: 221
% New rule produced :
% [394]
% quotient(difference(j(B),quotient(quotient(difference(j(C),quotient(quotient(
% quotient(A,B),C),
% j(C))),B),
% j(B))),quotient(A,B)) <->
% difference(quotient(A,B),difference(j(A),quotient(quotient(C,A),j(A))))
% Current number of equations to process: 255
% Current number of ordered equations: 433
% Current number of rules: 222
% New rule produced :
% [395]
% difference(A,difference(j(A),quotient(difference(difference(j(A),quotient(
% quotient(B,A),
% j(A))),
% difference(j(A),quotient(quotient(
% difference(
% j(B),quotient(
% quotient(C,B),
% j(B))),A),
% j(A)))),j(A)))) <->
% quotient(difference(j(C),quotient(quotient(difference(j(A),quotient(quotient(B,A),
% j(A))),C),
% j(C))),B)
% Current number of equations to process: 254
% Current number of ordered equations: 434
% Current number of rules: 223
% New rule produced :
% [396]
% quotient(difference(j(C),quotient(quotient(difference(j(A),quotient(quotient(B,A),
% j(A))),C),
% j(C))),B) <->
% difference(A,difference(j(A),quotient(difference(difference(j(A),quotient(
% quotient(B,A),
% j(A))),
% difference(j(A),quotient(quotient(
% difference(
% j(B),quotient(
% quotient(C,B),
% j(B))),A),
% j(A)))),j(A))))
% Current number of equations to process: 254
% Current number of ordered equations: 433
% Current number of rules: 224
% New rule produced :
% [397]
% difference(difference(difference(j(A),quotient(quotient(B,A),j(A))),quotient(
% quotient(A,
% j(
% difference(
% j(A),
% quotient(
% quotient(B,A),
% j(A))))),
% j(
% j(
% difference(
% j(A),
% quotient(
% quotient(B,A),
% j(A))))))),
% eta(difference(j(A),quotient(quotient(B,A),j(A))))) ->
% quotient(i(A),i(difference(j(A),quotient(quotient(B,A),j(A)))))
% Current number of equations to process: 253
% Current number of ordered equations: 433
% Current number of rules: 225
% New rule produced :
% [398] quotient(quotient(j(j(A)),j(A)),j(j(A))) -> j(j(j(j(A))))
% Current number of equations to process: 252
% Current number of ordered equations: 433
% Current number of rules: 226
% New rule produced :
% [399]
% difference(difference(j(A),quotient(quotient(B,A),j(A))),difference(j(A),
% quotient(quotient(
% j(j(B)),A),
% j(A)))) ->
% quotient(quotient(difference(j(eta(B)),quotient(quotient(difference(j(A),
% quotient(quotient(B,A),
% j(A))),eta(B)),
% j(eta(B)))),B),A)
% Current number of equations to process: 252
% Current number of ordered equations: 432
% Current number of rules: 227
% New rule produced :
% [400] difference(j(eta(A)),eta(A)) -> quotient(i(i(i(A))),j(A))
% Rule
% [282]
% difference(eta(A),difference(j(difference(j(eta(A)),eta(A))),quotient(
% quotient(B,
% difference(
% j(eta(A)),
% eta(A))),
% j(difference(
% j(eta(A)),
% eta(A)))))) ->
% difference(j(eta(A)),quotient(quotient(B,eta(A)),j(eta(A)))) collapsed.
% Rule
% [312] quotient(difference(j(eta(A)),eta(A)),i(i(i(A)))) -> t(i(i(i(A))),A)
% collapsed.
% Current number of equations to process: 253
% Current number of ordered equations: 432
% Current number of rules: 226
% New rule produced :
% [401]
% quotient(difference(j(A),quotient(quotient(difference(j(eta(B)),quotient(
% quotient(
% difference(
% j(B),
% quotient(
% quotient(
% eta(A),B),
% j(B))),
% eta(B)),
% j(eta(B)))),A),
% j(A))),eta(A)) ->
% difference(j(A),quotient(quotient(i(i(B)),A),j(A)))
% Current number of equations to process: 253
% Current number of ordered equations: 431
% Current number of rules: 227
% New rule produced :
% [402]
% quotient(difference(j(A),quotient(quotient(quotient(quotient(difference(
% j(B),eta(A)),
% j(B)),j(j(B))),A),
% j(A))),eta(A)) ->
% difference(j(A),quotient(quotient(j(j(B)),A),j(A)))
% Current number of equations to process: 253
% Current number of ordered equations: 430
% Current number of rules: 228
% New rule produced :
% [403]
% difference(quotient(A,B),difference(j(A),quotient(quotient(quotient(C,
% quotient(A,B)),A),
% j(A)))) ->
% quotient(difference(j(B),quotient(quotient(C,B),j(B))),quotient(A,B))
% Current number of equations to process: 253
% Current number of ordered equations: 429
% Current number of rules: 229
% New rule produced :
% [404]
% difference(j(B),quotient(quotient(difference(j(C),quotient(quotient(quotient(A,B),C),
% j(C))),B),j(B))) <->
% quotient(difference(B,difference(j(B),quotient(difference(quotient(A,B),
% difference(j(A),quotient(
% quotient(C,A),
% j(A)))),
% j(B)))),quotient(difference(quotient(A,B),
% difference(j(B),
% quotient(quotient(
% difference(
% quotient(A,B),
% difference(
% j(A),
% quotient(
% quotient(C,A),
% j(A)))),B),
% j(B)))),difference(
% quotient(A,B),
% difference(
% j(A),quotient(
% quotient(C,A),
% j(A))))))
% Current number of equations to process: 252
% Current number of ordered equations: 430
% Current number of rules: 230
% New rule produced :
% [405]
% quotient(difference(B,difference(j(B),quotient(difference(quotient(A,B),
% difference(j(A),quotient(
% quotient(C,A),
% j(A)))),
% j(B)))),quotient(difference(quotient(A,B),
% difference(j(B),
% quotient(quotient(
% difference(
% quotient(A,B),
% difference(
% j(A),
% quotient(
% quotient(C,A),
% j(A)))),B),
% j(B)))),difference(
% quotient(A,B),
% difference(
% j(A),quotient(
% quotient(C,A),
% j(A))))))
% <->
% difference(j(B),quotient(quotient(difference(j(C),quotient(quotient(quotient(A,B),C),
% j(C))),B),j(B)))
% Current number of equations to process: 252
% Current number of ordered equations: 429
% Current number of rules: 231
% New rule produced :
% [406]
% difference(difference(A,B),difference(j(C),quotient(quotient(A,C),j(C)))) ->
% quotient(difference(B,difference(j(B),quotient(difference(difference(A,B),C),
% j(B)))),difference(A,B))
% Current number of equations to process: 252
% Current number of ordered equations: 428
% Current number of rules: 232
% New rule produced :
% [407]
% quotient(difference(j(eta(A)),quotient(quotient(quotient(quotient(difference(
% j(A),B),
% j(A)),j(j(A))),
% eta(A)),j(eta(A)))),A) -> t(A,B)
% Current number of equations to process: 252
% Current number of ordered equations: 427
% Current number of rules: 233
% New rule produced :
% [408]
% difference(eta(A),quotient(difference(j(eta(A)),quotient(quotient(difference(
% j(A),A),
% eta(A)),j(eta(A)))),A))
% -> j(j(A))
% Current number of equations to process: 252
% Current number of ordered equations: 426
% Current number of rules: 234
% New rule produced :
% [409]
% difference(i(B),difference(j(eta(B)),quotient(quotient(t(i(B),A),eta(B)),
% j(eta(B))))) ->
% quotient(quotient(quotient(A,j(B)),j(j(B))),i(B))
% Current number of equations to process: 251
% Current number of ordered equations: 426
% Current number of rules: 235
% New rule produced :
% [410]
% difference(difference(difference(j(A),j(j(A))),quotient(quotient(A,j(
% difference(
% j(A),
% j(
% j(A))))),
% j(j(difference(j(A),j(j(A))))))),
% eta(difference(j(A),j(j(A))))) -> quotient(i(A),i(difference(j(A),j(j(A)))))
% Current number of equations to process: 250
% Current number of ordered equations: 426
% Current number of rules: 236
% New rule produced :
% [411]
% difference(A,difference(j(B),quotient(quotient(difference(j(difference(B,A)),
% j(j(difference(B,A)))),B),
% j(B)))) -> quotient(t(difference(B,A),A),B)
% Current number of equations to process: 250
% Current number of ordered equations: 425
% Current number of rules: 237
% New rule produced :
% [412]
% quotient(difference(j(A),quotient(quotient(difference(j(B),j(j(B))),A),j(A))),
% quotient(t(B,difference(j(A),quotient(quotient(B,A),j(A)))),A)) ->
% difference(j(A),quotient(quotient(B,A),j(A)))
% Current number of equations to process: 250
% Current number of ordered equations: 424
% Current number of rules: 238
% New rule produced :
% [413]
% difference(eta(A),difference(A,quotient(quotient(B,j(A)),j(j(A))))) <->
% quotient(quotient(difference(A,difference(j(B),quotient(quotient(eta(A),B),
% j(B)))),A),i(A))
% Current number of equations to process: 248
% Current number of ordered equations: 425
% Current number of rules: 239
% New rule produced :
% [414]
% quotient(quotient(difference(A,difference(j(B),quotient(quotient(eta(A),B),
% j(B)))),A),i(A)) <->
% difference(eta(A),difference(A,quotient(quotient(B,j(A)),j(j(A)))))
% Current number of equations to process: 248
% Current number of ordered equations: 424
% Current number of rules: 240
% New rule produced :
% [415]
% difference(difference(j(quotient(A,B)),quotient(quotient(C,quotient(A,B)),
% j(quotient(A,B)))),A) ->
% quotient(difference(C,difference(j(B),quotient(quotient(quotient(A,B),B),
% j(B)))),quotient(A,B))
% Current number of equations to process: 249
% Current number of ordered equations: 422
% Current number of rules: 241
% New rule produced :
% [416]
% difference(A,difference(j(quotient(A,B)),quotient(quotient(C,quotient(A,B)),
% j(quotient(A,B))))) <->
% quotient(difference(B,difference(j(C),quotient(quotient(quotient(A,B),C),
% j(C)))),quotient(A,B))
% Current number of equations to process: 249
% Current number of ordered equations: 421
% Current number of rules: 242
% New rule produced :
% [417]
% quotient(difference(B,difference(j(C),quotient(quotient(quotient(A,B),C),
% j(C)))),quotient(A,B)) <->
% difference(A,difference(j(quotient(A,B)),quotient(quotient(C,quotient(A,B)),
% j(quotient(A,B)))))
% Current number of equations to process: 249
% Current number of ordered equations: 420
% Current number of rules: 243
% New rule produced :
% [418]
% t(difference(j(A),quotient(quotient(B,A),j(A))),quotient(difference(B,
% difference(j(C),
% quotient(quotient(A,C),
% j(C)))),A)) <->
% quotient(difference(j(A),quotient(quotient(C,A),j(A))),difference(j(A),
% quotient(quotient(B,A),
% j(A))))
% Current number of equations to process: 249
% Current number of ordered equations: 419
% Current number of rules: 244
% New rule produced :
% [419]
% quotient(difference(j(A),quotient(quotient(C,A),j(A))),difference(j(A),
% quotient(quotient(B,A),
% j(A)))) <->
% t(difference(j(A),quotient(quotient(B,A),j(A))),quotient(difference(B,
% difference(j(C),
% quotient(quotient(A,C),
% j(C)))),A))
% Current number of equations to process: 249
% Current number of ordered equations: 418
% Current number of rules: 245
% New rule produced :
% [420]
% difference(difference(j(C),quotient(quotient(A,C),j(C))),difference(j(C),
% quotient(quotient(
% i(i(B)),C),
% j(C)))) <->
% quotient(difference(A,difference(j(eta(B)),quotient(quotient(difference(
% j(B),quotient(
% quotient(C,B),
% j(B))),
% eta(B)),j(eta(B))))),C)
% Current number of equations to process: 249
% Current number of ordered equations: 416
% Current number of rules: 246
% New rule produced :
% [421]
% quotient(difference(A,difference(j(eta(B)),quotient(quotient(difference(
% j(B),quotient(
% quotient(C,B),
% j(B))),
% eta(B)),j(eta(B))))),C)
% <->
% difference(difference(j(C),quotient(quotient(A,C),j(C))),difference(j(C),
% quotient(quotient(
% i(i(B)),C),
% j(C))))
% Current number of equations to process: 249
% Current number of ordered equations: 415
% Current number of rules: 247
% New rule produced :
% [422]
% difference(difference(j(C),quotient(quotient(A,C),j(C))),difference(j(C),
% quotient(quotient(
% j(j(B)),C),
% j(C)))) <->
% quotient(difference(A,quotient(quotient(difference(j(B),C),j(B)),j(j(B)))),C)
% Rule
% [399]
% difference(difference(j(A),quotient(quotient(B,A),j(A))),difference(j(A),
% quotient(quotient(
% j(j(B)),A),
% j(A)))) ->
% quotient(quotient(difference(j(eta(B)),quotient(quotient(difference(j(A),
% quotient(quotient(B,A),
% j(A))),eta(B)),
% j(eta(B)))),B),A) collapsed.
% Current number of equations to process: 250
% Current number of ordered equations: 414
% Current number of rules: 247
% New rule produced :
% [423]
% quotient(difference(A,quotient(quotient(difference(j(B),C),j(B)),j(j(B)))),C)
% <->
% difference(difference(j(C),quotient(quotient(A,C),j(C))),difference(j(C),
% quotient(quotient(
% j(j(B)),C),
% j(C))))
% Current number of equations to process: 250
% Current number of ordered equations: 413
% Current number of rules: 248
% New rule produced :
% [424]
% difference(j(eta(A)),quotient(quotient(eta(B),eta(A)),j(eta(A)))) <->
% quotient(t(eta(A),difference(j(eta(B)),quotient(quotient(difference(j(B),
% quotient(quotient(
% eta(A),B),
% j(B))),eta(B)),
% j(eta(B))))),B)
% Current number of equations to process: 250
% Current number of ordered equations: 412
% Current number of rules: 249
% New rule produced :
% [425]
% quotient(t(eta(A),difference(j(eta(B)),quotient(quotient(difference(j(B),
% quotient(quotient(
% eta(A),B),
% j(B))),eta(B)),
% j(eta(B))))),B) <->
% difference(j(eta(A)),quotient(quotient(eta(B),eta(A)),j(eta(A))))
% Current number of equations to process: 250
% Current number of ordered equations: 411
% Current number of rules: 250
% New rule produced :
% [426]
% difference(i(A),t(eta(A),difference(j(B),quotient(quotient(eta(A),B),j(B)))))
% <->
% quotient(difference(j(A),quotient(quotient(difference(j(B),quotient(quotient(
% i(A),B),
% j(B))),A),
% j(A))),i(A))
% Current number of equations to process: 250
% Current number of ordered equations: 410
% Current number of rules: 251
% New rule produced :
% [427]
% quotient(difference(j(A),quotient(quotient(difference(j(B),quotient(quotient(
% i(A),B),
% j(B))),A),
% j(A))),i(A)) <->
% difference(i(A),t(eta(A),difference(j(B),quotient(quotient(eta(A),B),j(B)))))
% Current number of equations to process: 250
% Current number of ordered equations: 409
% Current number of rules: 252
% New rule produced :
% [428] quotient(difference(j(A),quotient(t(A,eta(A)),j(A))),j(j(A))) -> A
% Current number of equations to process: 250
% Current number of ordered equations: 408
% Current number of rules: 253
% New rule produced :
% [429]
% quotient(difference(j(difference(A,B)),quotient(A,j(difference(A,B)))),B) ->
% difference(A,B)
% Current number of equations to process: 250
% Current number of ordered equations: 407
% Current number of rules: 254
% New rule produced :
% [430] quotient(difference(A,quotient(t(i(A),eta(A)),A)),i(A)) -> t(i(A),j(A))
% Current number of equations to process: 250
% Current number of ordered equations: 406
% Current number of rules: 255
% New rule produced :
% [431] quotient(difference(j(A),quotient(t(A,eta(A)),j(A))),A) -> t(A,j(j(A)))
% Current number of equations to process: 250
% Current number of ordered equations: 405
% Current number of rules: 256
% New rule produced :
% [432]
% difference(j(A),quotient(quotient(difference(i(i(A)),B),A),j(A))) ->
% difference(eta(A),B)
% Current number of equations to process: 249
% Current number of ordered equations: 404
% Current number of rules: 257
% New rule produced :
% [433]
% difference(j(j(A)),difference(j(A),quotient(quotient(B,A),j(A)))) ->
% difference(eta(A),B)
% Current number of equations to process: 249
% Current number of ordered equations: 403
% Current number of rules: 258
% New rule produced :
% [434]
% quotient(difference(j(j(A)),quotient(quotient(difference(j(eta(B)),quotient(
% quotient(
% difference(
% j(B),
% quotient(
% quotient(A,B),
% j(B))),
% eta(B)),
% j(
% eta(B)))),
% j(A)),j(j(A)))),A) ->
% difference(A,difference(j(eta(A)),quotient(quotient(i(i(B)),eta(A)),j(eta(A)))))
% Current number of equations to process: 249
% Current number of ordered equations: 402
% Current number of rules: 259
% New rule produced :
% [435]
% quotient(difference(j(j(A)),quotient(quotient(quotient(quotient(difference(
% j(B),A),
% j(B)),j(j(B))),
% j(A)),j(j(A)))),A) ->
% difference(A,difference(j(eta(A)),quotient(quotient(j(j(B)),eta(A)),j(eta(A)))))
% Current number of equations to process: 249
% Current number of ordered equations: 401
% Current number of rules: 260
% New rule produced :
% [436] quotient(quotient(i(i(i(A))),j(A)),i(i(i(A)))) -> t(i(i(i(A))),A)
% Current number of equations to process: 248
% Current number of ordered equations: 401
% Current number of rules: 261
% New rule produced :
% [437]
% quotient(difference(j(eta(A)),quotient(quotient(B,eta(A)),j(eta(A)))),
% quotient(difference(j(A),quotient(quotient(difference(j(B),quotient(quotient(
% i(A),B),
% j(B))),A),
% j(A))),i(A))) -> i(A)
% Current number of equations to process: 248
% Current number of ordered equations: 400
% Current number of rules: 262
% New rule produced :
% [438]
% difference(difference(i(A),difference(j(eta(A)),quotient(quotient(B,eta(A)),
% j(eta(A))))),difference(
% j(A),quotient(
% quotient(
% difference(
% j(B),
% quotient(
% quotient(
% i(A),B),
% j(B))),A),
% j(A)))) ->
% i(A)
% Current number of equations to process: 248
% Current number of ordered equations: 399
% Current number of rules: 263
% New rule produced :
% [439]
% difference(C,difference(j(difference(j(C),quotient(quotient(eta(A),C),j(C)))),
% quotient(quotient(B,difference(j(C),quotient(quotient(eta(A),C),
% j(C)))),j(difference(
% j(C),quotient(
% quotient(
% eta(A),C),
% j(C)))))))
% <->
% quotient(t(eta(A),difference(j(difference(j(B),quotient(quotient(C,B),j(B)))),
% quotient(quotient(eta(A),difference(j(B),quotient(quotient(C,B),
% j(B)))),j(
% difference(
% j(B),
% quotient(
% quotient(C,B),
% j(B))))))),C)
% Current number of equations to process: 248
% Current number of ordered equations: 398
% Current number of rules: 264
% New rule produced :
% [440]
% difference(C,difference(j(difference(j(C),quotient(quotient(A,C),j(C)))),
% quotient(quotient(eta(B),difference(j(C),quotient(quotient(A,C),
% j(C)))),j(difference(
% j(C),
% quotient(
% quotient(A,C),
% j(C))))))) ->
% quotient(difference(j(A),quotient(quotient(t(eta(B),difference(j(C),quotient(
% quotient(
% eta(B),C),
% j(C)))),A),
% j(A))),C)
% Current number of equations to process: 248
% Current number of ordered equations: 397
% Current number of rules: 265
% New rule produced :
% [441]
% quotient(t(eta(A),difference(j(difference(j(B),quotient(quotient(C,B),j(B)))),
% quotient(quotient(eta(A),difference(j(B),quotient(quotient(C,B),
% j(B)))),j(
% difference(
% j(B),
% quotient(
% quotient(C,B),
% j(B))))))),C)
% <->
% difference(C,difference(j(difference(j(C),quotient(quotient(eta(A),C),j(C)))),
% quotient(quotient(B,difference(j(C),quotient(quotient(eta(A),C),
% j(C)))),j(difference(
% j(C),quotient(
% quotient(
% eta(A),C),
% j(C)))))))
% Current number of equations to process: 248
% Current number of ordered equations: 396
% Current number of rules: 266
% New rule produced :
% [442]
% quotient(difference(j(A),quotient(quotient(t(eta(B),difference(j(eta(A)),
% quotient(quotient(
% eta(B),eta(A)),
% j(eta(A))))),A),j(A))),
% eta(A)) -> difference(j(A),quotient(quotient(eta(B),A),j(A)))
% Current number of equations to process: 248
% Current number of ordered equations: 395
% Current number of rules: 267
% New rule produced :
% [443]
% difference(difference(j(C),quotient(quotient(A,C),j(C))),difference(j(C),
% quotient(quotient(
% eta(B),C),
% j(C)))) ->
% quotient(difference(A,t(eta(B),difference(j(C),quotient(quotient(eta(B),C),
% j(C))))),C)
% Current number of equations to process: 249
% Current number of ordered equations: 391
% Current number of rules: 268
% New rule produced :
% [444]
% quotient(difference(i(t(A,B)),difference(j(A),quotient(quotient(t(A,B),A),
% j(A)))),t(A,B)) ->
% difference(j(A),quotient(quotient(B,A),j(A)))
% Current number of equations to process: 248
% Current number of ordered equations: 386
% Current number of rules: 269
% New rule produced :
% [445]
% quotient(difference(i(i(A)),quotient(quotient(difference(j(A),i(A)),j(A)),
% j(j(A)))),i(A)) -> quotient(i(i(i(A))),j(A))
% Current number of equations to process: 247
% Current number of ordered equations: 386
% Current number of rules: 270
% New rule produced :
% [446]
% difference(difference(j(C),quotient(quotient(B,C),j(C))),difference(j(C),
% quotient(quotient(
% difference(
% j(B),
% quotient(
% quotient(
% quotient(A,
% difference(
% j(C),
% quotient(
% quotient(B,C),
% j(C)))),B),
% j(B))),C),
% j(C)))) ->
% quotient(quotient(A,B),C)
% Current number of equations to process: 247
% Current number of ordered equations: 385
% Current number of rules: 271
% New rule produced :
% [447]
% difference(j(difference(j(A),quotient(quotient(B,A),j(A)))),quotient(
% quotient(
% quotient(
% quotient(
% difference(
% j(C),quotient(
% quotient(
% difference(
% j(A),
% quotient(
% quotient(B,A),
% j(A))),C),
% j(C))),B),A),
% difference(
% j(A),quotient(
% quotient(B,A),
% j(A)))),
% j(difference(
% j(A),quotient(
% quotient(B,A),
% j(A))))))
% ->
% difference(j(A),quotient(quotient(difference(j(B),quotient(quotient(C,B),
% j(B))),A),j(A)))
% Current number of equations to process: 247
% Current number of ordered equations: 384
% Current number of rules: 272
% New rule produced :
% [448]
% quotient(difference(j(A),quotient(quotient(B,A),j(A))),t(A,B)) -> t(t(A,B),A)
% Current number of equations to process: 247
% Current number of ordered equations: 381
% Current number of rules: 273
% New rule produced :
% [449]
% quotient(difference(j(A),quotient(quotient(difference(j(C),quotient(quotient(
% t(A,B),C),
% j(C))),A),
% j(A))),t(A,B)) <->
% difference(t(A,B),difference(j(difference(j(A),quotient(quotient(B,A),j(A)))),
% quotient(quotient(C,difference(j(A),quotient(quotient(B,A),
% j(A)))),j(difference(
% j(A),
% quotient(
% quotient(B,A),
% j(A)))))))
% Current number of equations to process: 247
% Current number of ordered equations: 380
% Current number of rules: 274
% New rule produced :
% [450]
% difference(t(A,B),difference(j(difference(j(A),quotient(quotient(B,A),j(A)))),
% quotient(quotient(C,difference(j(A),quotient(quotient(B,A),
% j(A)))),j(difference(
% j(A),
% quotient(
% quotient(B,A),
% j(A)))))))
% <->
% quotient(difference(j(A),quotient(quotient(difference(j(C),quotient(quotient(
% t(A,B),C),
% j(C))),A),
% j(A))),t(A,B))
% Current number of equations to process: 247
% Current number of ordered equations: 379
% Current number of rules: 275
% New rule produced :
% [451]
% quotient(t(eta(quotient(A,B)),difference(j(A),quotient(quotient(eta(quotient(A,B)),A),
% j(A)))),B) ->
% i(i(quotient(A,B)))
% Current number of equations to process: 247
% Current number of ordered equations: 378
% Current number of rules: 276
% New rule produced :
% [452]
% quotient(difference(j(A),quotient(quotient(B,A),j(A))),difference(eta(A),B))
% -> j(j(A))
% Current number of equations to process: 247
% Current number of ordered equations: 377
% Current number of rules: 277
% New rule produced :
% [453]
% quotient(difference(j(A),quotient(quotient(t(eta(A),difference(j(eta(A)),
% quotient(B,j(eta(A))))),A),
% j(A))),B) -> j(j(j(j(A))))
% Current number of equations to process: 246
% Current number of ordered equations: 377
% Current number of rules: 278
% New rule produced :
% [454]
% difference(A,quotient(i(i(i(A))),j(A))) -> quotient(quotient(j(A),A),j(A))
% Current number of equations to process: 245
% Current number of ordered equations: 377
% Current number of rules: 279
% New rule produced :
% [455]
% difference(i(i(i(i(A)))),t(eta(A),difference(j(eta(A)),quotient(difference(
% j(A),
% quotient(
% quotient(B,A),
% j(A))),
% j(eta(A)))))) -> B
% Current number of equations to process: 244
% Current number of ordered equations: 377
% Current number of rules: 280
% New rule produced :
% [456]
% difference(j(difference(j(A),quotient(quotient(i(i(B)),A),j(A)))),quotient(
% quotient(C,
% difference(
% j(A),
% quotient(
% quotient(
% i(i(B)),A),
% j(A)))),
% j(difference(
% j(A),
% quotient(
% quotient(
% i(
% i(B)),A),
% j(A))))))
% <->
% difference(j(A),quotient(quotient(quotient(difference(j(eta(B)),quotient(
% quotient(
% difference(
% j(B),
% quotient(
% quotient(
% difference(
% j(C),
% quotient(
% quotient(A,C),
% j(C))),B),
% j(B))),
% eta(B)),
% j(eta(B)))),A),A),
% j(A)))
% Current number of equations to process: 244
% Current number of ordered equations: 376
% Current number of rules: 281
% New rule produced :
% [457]
% difference(j(A),quotient(quotient(quotient(difference(j(B),quotient(quotient(
% difference(
% j(
% eta(C)),
% quotient(
% quotient(
% difference(
% j(C),
% quotient(
% quotient(A,C),
% j(C))),
% eta(C)),
% j(
% eta(C)))),B),
% j(B))),A),A),
% j(A))) <->
% difference(j(difference(j(A),quotient(quotient(B,A),j(A)))),quotient(
% quotient(
% i(i(C)),difference(
% j(A),
% quotient(
% quotient(B,A),
% j(A)))),
% j(difference(
% j(A),quotient(
% quotient(B,A),
% j(A))))))
% Current number of equations to process: 244
% Current number of ordered equations: 375
% Current number of rules: 282
% New rule produced :
% [458]
% difference(j(A),quotient(quotient(quotient(difference(j(eta(B)),quotient(
% quotient(
% difference(
% j(B),
% quotient(
% quotient(
% difference(
% j(C),
% quotient(
% quotient(A,C),
% j(C))),B),
% j(B))),
% eta(B)),
% j(eta(B)))),A),A),
% j(A))) <->
% difference(j(difference(j(A),quotient(quotient(i(i(B)),A),j(A)))),quotient(
% quotient(C,
% difference(
% j(A),
% quotient(
% quotient(
% i(i(B)),A),
% j(A)))),
% j(difference(
% j(A),
% quotient(
% quotient(
% i(
% i(B)),A),
% j(A))))))
% Current number of equations to process: 244
% Current number of ordered equations: 374
% Current number of rules: 283
% New rule produced :
% [459]
% difference(j(difference(j(A),quotient(quotient(B,A),j(A)))),quotient(
% quotient(
% i(i(C)),difference(
% j(A),
% quotient(
% quotient(B,A),
% j(A)))),
% j(difference(
% j(A),quotient(
% quotient(B,A),
% j(A))))))
% <->
% difference(j(A),quotient(quotient(quotient(difference(j(B),quotient(quotient(
% difference(
% j(
% eta(C)),
% quotient(
% quotient(
% difference(
% j(C),
% quotient(
% quotient(A,C),
% j(C))),
% eta(C)),
% j(
% eta(C)))),B),
% j(B))),A),A),
% j(A)))
% Current number of equations to process: 244
% Current number of ordered equations: 373
% Current number of rules: 284
% New rule produced :
% [460]
% difference(j(difference(j(A),quotient(quotient(j(j(B)),A),j(A)))),quotient(
% quotient(C,
% difference(
% j(A),
% quotient(
% quotient(
% j(j(B)),A),
% j(A)))),
% j(difference(
% j(A),
% quotient(
% quotient(
% j(
% j(B)),A),
% j(A))))))
% <->
% difference(j(A),quotient(quotient(quotient(quotient(quotient(difference(
% j(B),difference(
% j(C),
% quotient(
% quotient(A,C),
% j(C)))),
% j(B)),j(j(B))),A),A),
% j(A)))
% Current number of equations to process: 244
% Current number of ordered equations: 372
% Current number of rules: 285
% New rule produced :
% [461]
% difference(j(A),quotient(quotient(quotient(difference(j(B),quotient(quotient(
% quotient(
% quotient(
% difference(
% j(C),A),
% j(C)),
% j(
% j(C))),B),
% j(B))),A),A),
% j(A))) <->
% difference(j(difference(j(A),quotient(quotient(B,A),j(A)))),quotient(
% quotient(
% j(j(C)),difference(
% j(A),
% quotient(
% quotient(B,A),
% j(A)))),
% j(difference(
% j(A),quotient(
% quotient(B,A),
% j(A))))))
% Current number of equations to process: 244
% Current number of ordered equations: 371
% Current number of rules: 286
% New rule produced :
% [462]
% difference(j(A),quotient(quotient(quotient(quotient(quotient(difference(
% j(B),difference(
% j(C),
% quotient(
% quotient(A,C),
% j(C)))),
% j(B)),j(j(B))),A),A),
% j(A))) <->
% difference(j(difference(j(A),quotient(quotient(j(j(B)),A),j(A)))),quotient(
% quotient(C,
% difference(
% j(A),
% quotient(
% quotient(
% j(j(B)),A),
% j(A)))),
% j(difference(
% j(A),
% quotient(
% quotient(
% j(
% j(B)),A),
% j(A))))))
% Current number of equations to process: 244
% Current number of ordered equations: 370
% Current number of rules: 287
% New rule produced :
% [463]
% difference(j(difference(j(A),quotient(quotient(B,A),j(A)))),quotient(
% quotient(
% j(j(C)),difference(
% j(A),
% quotient(
% quotient(B,A),
% j(A)))),
% j(difference(
% j(A),quotient(
% quotient(B,A),
% j(A))))))
% <->
% difference(j(A),quotient(quotient(quotient(difference(j(B),quotient(quotient(
% quotient(
% quotient(
% difference(
% j(C),A),
% j(C)),
% j(
% j(C))),B),
% j(B))),A),A),
% j(A)))
% Current number of equations to process: 244
% Current number of ordered equations: 369
% Current number of rules: 288
% New rule produced :
% [464]
% quotient(difference(j(A),quotient(quotient(quotient(difference(j(B),quotient(
% quotient(
% difference(
% j(C),
% quotient(
% quotient(A,C),
% j(C))),B),
% j(B))),A),A),
% j(A))),difference(j(A),quotient(quotient(B,A),j(A))))
% -> t(difference(j(A),quotient(quotient(B,A),j(A))),C)
% Current number of equations to process: 244
% Current number of ordered equations: 368
% Current number of rules: 289
% New rule produced :
% [465]
% t(A,difference(j(B),quotient(quotient(quotient(difference(j(C),quotient(
% quotient(
% difference(
% j(A),quotient(
% quotient(B,A),
% j(A))),C),
% j(C))),B),B),
% j(B)))) <->
% difference(A,difference(j(difference(j(A),j(j(A)))),quotient(quotient(
% difference(
% j(B),quotient(
% quotient(C,B),
% j(B))),
% difference(
% j(A),j(j(A)))),
% j(difference(j(A),
% j(j(A)))))))
% Current number of equations to process: 244
% Current number of ordered equations: 367
% Current number of rules: 290
% New rule produced :
% [466]
% difference(A,difference(j(difference(j(A),j(j(A)))),quotient(quotient(
% difference(
% j(B),quotient(
% quotient(C,B),
% j(B))),
% difference(
% j(A),j(j(A)))),
% j(difference(j(A),
% j(j(A))))))) <->
% t(A,difference(j(B),quotient(quotient(quotient(difference(j(C),quotient(
% quotient(
% difference(
% j(A),quotient(
% quotient(B,A),
% j(A))),C),
% j(C))),B),B),
% j(B))))
% Current number of equations to process: 244
% Current number of ordered equations: 366
% Current number of rules: 291
% New rule produced :
% [467]
% quotient(difference(j(difference(A,B)),quotient(quotient(quotient(quotient(
% difference(
% j(C),A),
% j(C)),
% j(j(C))),difference(A,B)),
% j(difference(A,B)))),A) ->
% difference(A,difference(j(B),quotient(quotient(j(j(C)),B),j(B))))
% Current number of equations to process: 244
% Current number of ordered equations: 365
% Current number of rules: 292
% New rule produced :
% [468]
% quotient(difference(j(difference(A,B)),quotient(quotient(difference(j(eta(C)),
% quotient(quotient(
% difference(
% j(C),
% quotient(
% quotient(A,C),
% j(C))),
% eta(C)),
% j(eta(C)))),
% difference(A,B)),j(difference(A,B)))),A)
% -> difference(A,difference(j(B),quotient(quotient(i(i(C)),B),j(B))))
% Current number of equations to process: 244
% Current number of ordered equations: 364
% Current number of rules: 293
% New rule produced :
% [469]
% t(i(A),quotient(difference(j(A),quotient(quotient(difference(j(B),quotient(
% quotient(
% i(A),B),
% j(B))),A),
% j(A))),i(A))) <->
% quotient(difference(j(eta(A)),quotient(quotient(B,eta(A)),j(eta(A)))),i(A))
% Current number of equations to process: 244
% Current number of ordered equations: 363
% Current number of rules: 294
% New rule produced :
% [470]
% quotient(difference(j(eta(A)),quotient(quotient(B,eta(A)),j(eta(A)))),i(A))
% <->
% t(i(A),quotient(difference(j(A),quotient(quotient(difference(j(B),quotient(
% quotient(
% i(A),B),
% j(B))),A),
% j(A))),i(A)))
% Current number of equations to process: 244
% Current number of ordered equations: 362
% Current number of rules: 295
% New rule produced : [471] quotient(t(A,eta(A)),i(A)) -> j(j(A))
% Current number of equations to process: 244
% Current number of ordered equations: 361
% Current number of rules: 296
% New rule produced :
% [472]
% quotient(difference(j(A),quotient(quotient(difference(j(B),j(j(B))),A),j(A))),
% difference(j(A),quotient(quotient(B,A),j(A)))) ->
% t(difference(j(A),quotient(quotient(B,A),j(A))),quotient(t(B,difference(
% j(A),quotient(
% quotient(B,A),
% j(A)))),A))
% Current number of equations to process: 244
% Current number of ordered equations: 360
% Current number of rules: 297
% New rule produced :
% [473]
% difference(difference(j(A),quotient(quotient(B,A),j(A))),difference(j(t(A,B)),
% quotient(quotient(
% difference(
% j(A),
% j(j(A))),
% t(A,B)),
% j(t(A,B))))) ->
% quotient(t(A,difference(j(A),quotient(quotient(B,A),j(A)))),t(A,B))
% Current number of equations to process: 244
% Current number of ordered equations: 359
% Current number of rules: 298
% New rule produced :
% [474]
% quotient(difference(A,difference(j(C),quotient(quotient(t(A,B),C),j(C)))),
% t(A,B)) <->
% difference(difference(j(A),quotient(quotient(B,A),j(A))),difference(j(t(A,B)),
% quotient(quotient(C,
% t(A,B)),
% j(t(A,B)))))
% Current number of equations to process: 244
% Current number of ordered equations: 358
% Current number of rules: 299
% New rule produced :
% [475]
% difference(difference(j(t(A,B)),quotient(quotient(C,t(A,B)),j(t(A,B)))),
% difference(j(A),quotient(quotient(B,A),j(A)))) ->
% quotient(difference(C,difference(j(A),quotient(quotient(t(A,B),A),j(A)))),
% t(A,B))
% Current number of equations to process: 244
% Current number of ordered equations: 357
% Current number of rules: 300
% New rule produced :
% [476]
% difference(difference(j(A),quotient(quotient(B,A),j(A))),difference(j(t(A,B)),
% quotient(quotient(C,
% t(A,B)),
% j(t(A,B))))) <->
% quotient(difference(A,difference(j(C),quotient(quotient(t(A,B),C),j(C)))),
% t(A,B))
% Rule
% [473]
% difference(difference(j(A),quotient(quotient(B,A),j(A))),difference(j(t(A,B)),
% quotient(quotient(
% difference(
% j(A),
% j(j(A))),
% t(A,B)),
% j(t(A,B))))) ->
% quotient(t(A,difference(j(A),quotient(quotient(B,A),j(A)))),t(A,B))
% collapsed.
% Current number of equations to process: 245
% Current number of ordered equations: 356
% Current number of rules: 300
% New rule produced :
% [477]
% t(eta(B),quotient(difference(i(difference(eta(B),A)),A),difference(eta(B),A)))
% -> A
% Current number of equations to process: 245
% Current number of ordered equations: 355
% Current number of rules: 301
% New rule produced :
% [478]
% difference(t(A,quotient(difference(j(B),quotient(quotient(difference(
% j(C),quotient(
% quotient(A,C),
% j(C))),B),
% j(B))),A)),difference(j(difference(
% j(A),
% quotient(
% quotient(B,A),
% j(A)))),
% quotient(quotient(C,
% difference(
% j(A),quotient(
% quotient(B,A),
% j(A)))),
% j(difference(j(A),
% quotient(quotient(B,A),
% j(A))))))) -> A
% Current number of equations to process: 245
% Current number of ordered equations: 354
% Current number of rules: 302
% Rule [423]
% quotient(difference(A,quotient(quotient(difference(j(B),C),j(B)),
% j(j(B)))),C) <->
% difference(difference(j(C),quotient(quotient(A,C),j(C))),difference(
% j(C),quotient(
% quotient(
% j(
% j(B)),C),
% j(C)))) is composed into
% [423]
% quotient(difference(A,quotient(quotient(difference(j(B),C),j(B)),j(j(B)))),C)
% <->
% difference(difference(C,difference(j(C),quotient(t(C,A),j(C)))),difference(C,
% difference(
% j(C),
% quotient(
% t(C,j(j(B))),
% j(C)))))
% Rule [413]
% difference(eta(A),difference(A,quotient(quotient(B,j(A)),j(j(A))))) <->
% quotient(quotient(difference(A,difference(j(B),quotient(quotient(
% eta(A),B),
% j(B)))),A),i(A)) is composed into
% [413]
% difference(eta(A),difference(A,quotient(quotient(B,j(A)),j(j(A))))) <->
% quotient(quotient(difference(A,difference(B,difference(j(B),quotient(
% t(B,eta(A)),
% j(B))))),A),
% i(A))
% Rule [371]
% difference(A,difference(j(A),quotient(B,j(A)))) <->
% difference(j(B),quotient(quotient(A,B),j(B))) is composed into [371]
% difference(A,
% difference(
% j(A),
% quotient(B,
% j(A))))
% <->
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,A),
% j(B))))
% Rule [317]
% t(eta(A),quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B)))) <->
% difference(j(eta(A)),quotient(quotient(j(j(B)),eta(A)),j(eta(A)))) is composed into
% [317]
% t(eta(A),quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B)))) <->
% difference(eta(A),difference(j(eta(A)),quotient(t(eta(A),j(j(B))),j(eta(A)))))
% Rule [314]
% quotient(difference(B,eta(A)),A) <->
% i(difference(j(A),quotient(quotient(B,A),j(A)))) is composed into
% [314]
% quotient(difference(B,eta(A)),A) <->
% i(difference(A,difference(j(A),quotient(t(A,B),j(A)))))
% Rule [304]
% t(A,quotient(quotient(difference(j(B),A),j(B)),j(j(B)))) <->
% difference(A,difference(j(difference(j(A),j(j(A)))),quotient(quotient(
% j(j(B)),
% difference(
% j(A),
% j(j(A)))),
% j(difference(
% j(A),j(j(A))))))) is composed into
% [304]
% t(A,quotient(quotient(difference(j(B),A),j(B)),j(j(B)))) <->
% difference(A,difference(difference(j(A),j(j(A))),difference(j(difference(
% j(A),j(j(A)))),
% quotient(t(difference(
% j(A),j(j(A))),
% j(j(B))),j(
% difference(
% j(A),
% j(
% j(A))))))))
% Rule [222]
% difference(j(t(eta(A),B)),quotient(t(eta(A),quotient(C,B)),j(t(eta(A),B))))
% -> t(eta(A),difference(j(B),quotient(quotient(C,B),j(B)))) is composed into
% [222]
% difference(j(t(eta(A),B)),quotient(t(eta(A),quotient(C,B)),j(t(eta(A),B))))
% -> t(eta(A),difference(B,difference(j(B),quotient(t(B,C),j(B)))))
% Rule [214] product(A,B) -> difference(j(A),quotient(quotient(B,A),j(A))) is composed into
% [214] product(A,B) -> difference(A,difference(j(A),quotient(t(A,B),j(A))))
% Rule [17]
% l(A,B,C) ->
% difference(difference(j(A),quotient(quotient(B,A),j(A))),difference(
% j(A),quotient(
% quotient(
% difference(
% j(B),
% quotient(
% quotient(C,B),
% j(B))),A),
% j(A)))) is composed into
% [17]
% l(A,B,C) ->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))))
% New rule produced :
% [479]
% difference(j(A),quotient(quotient(B,A),j(A))) ->
% difference(A,difference(j(A),quotient(t(A,B),j(A))))
% Rule [215] difference(j(A),quotient(quotient(j(A),A),j(A))) -> eta(A)
% collapsed.
% Rule [216] difference(A,difference(j(A),quotient(quotient(B,A),j(A)))) -> B
% collapsed.
% Rule [217] difference(j(A),quotient(quotient(difference(A,B),A),j(A))) -> B
% collapsed.
% Rule [218] quotient(difference(j(A),quotient(quotient(B,A),j(A))),B) -> A
% collapsed.
% Rule
% [219] quotient(difference(j(A),quotient(quotient(B,A),j(A))),A) -> t(A,B)
% collapsed.
% Rule
% [220]
% quotient(difference(i(quotient(A,B)),difference(j(B),quotient(quotient(
% quotient(A,B),B),
% j(B)))),quotient(A,B))
% -> A collapsed.
% Rule
% [221]
% difference(j(A),quotient(quotient(difference(j(eta(A)),quotient(quotient(B,
% eta(A)),
% j(eta(A)))),A),
% j(A))) -> quotient(quotient(difference(j(A),B),j(A)),j(j(A)))
% collapsed.
% Rule
% [223]
% difference(difference(j(A),quotient(quotient(B,A),j(A))),difference(j(A),
% quotient(quotient(
% difference(
% j(B),
% quotient(
% quotient(C,B),
% j(B))),A),
% j(A)))) <->
% quotient(quotient(difference(j(C),quotient(quotient(difference(j(A),quotient(
% quotient(B,A),
% j(A))),C),
% j(C))),B),A) collapsed.
% Rule
% [224]
% quotient(quotient(difference(j(C),quotient(quotient(difference(j(A),quotient(
% quotient(B,A),
% j(A))),C),
% j(C))),B),A) <->
% difference(difference(j(A),quotient(quotient(B,A),j(A))),difference(j(A),
% quotient(quotient(
% difference(
% j(B),
% quotient(
% quotient(C,B),
% j(B))),A),
% j(A)))) collapsed.
% Rule
% [225]
% difference(A,difference(j(difference(j(A),quotient(quotient(B,A),j(A)))),
% quotient(quotient(C,difference(j(A),quotient(quotient(B,A),j(A)))),
% j(difference(j(A),quotient(quotient(B,A),j(A))))))) <->
% quotient(difference(j(B),quotient(quotient(difference(j(C),quotient(quotient(A,C),
% j(C))),B),
% j(B))),A) collapsed.
% Rule
% [226]
% quotient(difference(j(B),quotient(quotient(difference(j(C),quotient(quotient(A,C),
% j(C))),B),
% j(B))),A) <->
% difference(A,difference(j(difference(j(A),quotient(quotient(B,A),j(A)))),
% quotient(quotient(C,difference(j(A),quotient(quotient(B,A),j(A)))),
% j(difference(j(A),quotient(quotient(B,A),j(A))))))) collapsed.
% Rule
% [227]
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(quotient(difference(difference(j(A),j(j(A))),difference(j(A),
% quotient(t(A,C),
% j(A)))),difference(
% difference(
% j(A),j(j(A))),
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))))))
% ->
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(
% j(B),
% quotient(
% quotient(C,B),
% j(B)))),
% j(A)))) collapsed.
% Rule [262] difference(j(A),quotient(quotient(i(A),A),j(A))) -> one collapsed.
% Rule
% [263]
% difference(difference(j(B),quotient(quotient(t(A,B),B),j(B))),difference(
% j(B),quotient(
% quotient(A,B),
% j(B)))) ->
% quotient(A,B) collapsed.
% Rule
% [280]
% difference(j(eta(A)),quotient(quotient(difference(j(j(A)),quotient(quotient(
% difference(
% j(
% eta(A)),
% quotient(
% quotient(B,
% eta(A)),
% j(
% eta(A)))),
% j(A)),
% j(j(A)))),eta(A)),
% j(eta(A)))) ->
% difference(j(j(A)),quotient(quotient(B,j(A)),j(j(A)))) collapsed.
% Rule
% [283]
% t(eta(A),difference(j(B),quotient(quotient(difference(j(C),quotient(quotient(
% eta(A),C),
% j(C))),B),
% j(B)))) <->
% difference(j(difference(j(eta(A)),quotient(quotient(B,eta(A)),j(eta(A))))),
% quotient(quotient(C,difference(j(eta(A)),quotient(quotient(B,eta(A)),
% j(eta(A))))),j(difference(j(eta(A)),
% quotient(quotient(B,
% eta(A)),
% j(eta(A)))))))
% collapsed.
% Rule
% [284]
% difference(j(difference(j(eta(A)),quotient(quotient(B,eta(A)),j(eta(A))))),
% quotient(quotient(C,difference(j(eta(A)),quotient(quotient(B,eta(A)),
% j(eta(A))))),j(difference(j(eta(A)),
% quotient(quotient(B,
% eta(A)),
% j(eta(A))))))) <->
% t(eta(A),difference(j(B),quotient(quotient(difference(j(C),quotient(quotient(
% eta(A),C),
% j(C))),B),
% j(B)))) collapsed.
% Rule
% [293]
% quotient(difference(j(eta(A)),quotient(quotient(difference(j(j(A)),quotient(
% quotient(
% difference(
% j(B),
% quotient(
% quotient(A,B),
% j(B))),
% j(A)),
% j(
% j(A)))),
% eta(A)),j(eta(A)))),A) ->
% difference(A,B) collapsed.
% Rule
% [294]
% quotient(difference(difference(j(j(A)),quotient(quotient(B,j(A)),j(j(A)))),
% eta(A)),eta(A)) -> quotient(i(B),i(A)) collapsed.
% Rule
% [295]
% difference(j(A),quotient(quotient(C,A),j(A))) <->
% quotient(difference(j(A),quotient(quotient(B,A),j(A))),quotient(difference(C,
% difference(
% j(B),
% quotient(
% quotient(A,B),
% j(B)))),A))
% collapsed.
% Rule
% [296]
% quotient(difference(j(A),quotient(quotient(B,A),j(A))),quotient(difference(C,
% difference(
% j(B),
% quotient(
% quotient(A,B),
% j(B)))),A))
% <-> difference(j(A),quotient(quotient(C,A),j(A))) collapsed.
% Rule
% [297]
% quotient(difference(j(A),quotient(quotient(t(eta(A),difference(j(B),quotient(
% quotient(
% eta(A),B),
% j(B)))),A),
% j(A))),B) -> j(j(A)) collapsed.
% Rule
% [298]
% difference(t(eta(A),difference(j(B),quotient(quotient(eta(A),B),j(B)))),
% difference(j(eta(A)),quotient(quotient(B,eta(A)),j(eta(A))))) -> one
% collapsed.
% Rule
% [302]
% t(A,difference(j(eta(B)),quotient(quotient(difference(j(B),quotient(quotient(A,B),
% j(B))),eta(B)),
% j(eta(B))))) <->
% difference(A,difference(j(difference(j(A),j(j(A)))),quotient(quotient(
% i(i(B)),
% difference(
% j(A),j(j(A)))),
% j(difference(j(A),
% j(j(A))))))) collapsed.
% Rule
% [303]
% difference(A,difference(j(difference(j(A),j(j(A)))),quotient(quotient(
% i(i(B)),
% difference(
% j(A),j(j(A)))),
% j(difference(j(A),
% j(j(A))))))) <->
% t(A,difference(j(eta(B)),quotient(quotient(difference(j(B),quotient(quotient(A,B),
% j(B))),eta(B)),
% j(eta(B))))) collapsed.
% Rule
% [305]
% difference(A,difference(j(difference(j(A),j(j(A)))),quotient(quotient(
% j(j(B)),
% difference(
% j(A),j(j(A)))),
% j(difference(j(A),
% j(j(A))))))) <->
% t(A,quotient(quotient(difference(j(B),A),j(B)),j(j(B)))) collapsed.
% Rule
% [306]
% quotient(difference(j(A),quotient(quotient(i(i(B)),A),j(A))),difference(
% j(A),quotient(
% quotient(
% eta(B),A),
% j(A)))) ->
% t(difference(j(A),quotient(quotient(eta(B),A),j(A))),B) collapsed.
% Rule [307] difference(j(A),quotient(quotient(j(eta(A)),A),j(A))) -> i(i(A))
% collapsed.
% Rule
% [308]
% quotient(difference(j(A),quotient(quotient(difference(j(B),quotient(quotient(
% eta(A),B),
% j(B))),A),
% j(A))),difference(j(A),quotient(quotient(B,A),j(A))))
% -> t(difference(j(A),quotient(quotient(B,A),j(A))),eta(A)) collapsed.
% Rule
% [309]
% difference(i(A),difference(j(eta(A)),quotient(quotient(quotient(B,i(A)),
% eta(A)),j(eta(A))))) ->
% quotient(difference(j(A),quotient(quotient(B,A),j(A))),i(A)) collapsed.
% Rule
% [313]
% i(difference(j(A),quotient(quotient(B,A),j(A)))) <->
% quotient(difference(B,eta(A)),A) collapsed.
% Rule
% [315]
% t(eta(A),difference(j(eta(B)),quotient(quotient(difference(j(B),quotient(
% quotient(
% eta(A),B),
% j(B))),
% eta(B)),j(eta(B))))) <->
% difference(j(eta(A)),quotient(quotient(i(i(B)),eta(A)),j(eta(A)))) collapsed.
% Rule
% [316]
% difference(j(eta(A)),quotient(quotient(i(i(B)),eta(A)),j(eta(A)))) <->
% t(eta(A),difference(j(eta(B)),quotient(quotient(difference(j(B),quotient(
% quotient(
% eta(A),B),
% j(B))),
% eta(B)),j(eta(B))))) collapsed.
% Rule
% [318]
% difference(j(eta(A)),quotient(quotient(j(j(B)),eta(A)),j(eta(A)))) <->
% t(eta(A),quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B)))) collapsed.
% Rule
% [319]
% difference(A,difference(j(difference(j(A),j(j(A)))),quotient(quotient(
% eta(B),difference(
% j(A),
% j(
% j(A)))),
% j(difference(j(A),
% j(j(A))))))) ->
% t(A,t(eta(B),difference(j(A),quotient(quotient(eta(B),A),j(A))))) collapsed.
% Rule
% [320]
% difference(difference(j(eta(A)),quotient(quotient(B,eta(A)),j(eta(A)))),
% difference(j(eta(A)),quotient(B,j(eta(A))))) -> eta(A) collapsed.
% Rule
% [327]
% difference(eta(B),difference(B,quotient(quotient(difference(j(B),quotient(
% quotient(A,B),
% j(B))),
% j(B)),j(j(B))))) <->
% quotient(quotient(difference(j(A),quotient(quotient(eta(B),A),j(A))),B),i(B))
% collapsed.
% Rule
% [328]
% quotient(quotient(difference(j(A),quotient(quotient(eta(B),A),j(A))),B),i(B))
% <->
% difference(eta(B),difference(B,quotient(quotient(difference(j(B),quotient(
% quotient(A,B),
% j(B))),
% j(B)),j(j(B))))) collapsed.
% Rule
% [329]
% difference(B,difference(j(C),quotient(quotient(difference(j(difference(C,B)),
% quotient(quotient(A,difference(C,B)),
% j(difference(C,B)))),C),
% j(C)))) <->
% quotient(quotient(difference(j(A),quotient(quotient(B,A),j(A))),difference(C,B)),C)
% collapsed.
% Rule
% [330]
% quotient(quotient(difference(j(A),quotient(quotient(B,A),j(A))),difference(C,B)),C)
% <->
% difference(B,difference(j(C),quotient(quotient(difference(j(difference(C,B)),
% quotient(quotient(A,difference(C,B)),
% j(difference(C,B)))),C),
% j(C)))) collapsed.
% Rule
% [331]
% difference(B,difference(j(quotient(B,C)),quotient(quotient(difference(
% j(C),quotient(
% quotient(A,C),
% j(C))),
% quotient(B,C)),j(quotient(B,C)))))
% <->
% quotient(quotient(difference(j(A),quotient(quotient(B,A),j(A))),C),quotient(B,C))
% collapsed.
% Rule
% [332]
% quotient(quotient(difference(j(A),quotient(quotient(B,A),j(A))),C),quotient(B,C))
% <->
% difference(B,difference(j(quotient(B,C)),quotient(quotient(difference(
% j(C),quotient(
% quotient(A,C),
% j(C))),
% quotient(B,C)),j(quotient(B,C)))))
% collapsed.
% Rule
% [333]
% difference(eta(B),difference(j(B),quotient(quotient(difference(j(j(B)),
% quotient(quotient(A,j(B)),
% j(j(B)))),B),j(B)))) <->
% quotient(quotient(difference(j(A),quotient(quotient(eta(B),A),j(A))),j(B)),B)
% collapsed.
% Rule
% [334]
% quotient(quotient(difference(j(A),quotient(quotient(eta(B),A),j(A))),j(B)),B)
% <->
% difference(eta(B),difference(j(B),quotient(quotient(difference(j(j(B)),
% quotient(quotient(A,j(B)),
% j(j(B)))),B),j(B))))
% collapsed.
% Rule
% [335]
% difference(difference(j(C),quotient(quotient(A,C),j(C))),difference(j(C),
% quotient(quotient(
% difference(
% j(A),
% quotient(
% quotient(B,A),
% j(A))),C),
% j(C)))) <->
% quotient(difference(A,difference(j(difference(j(A),quotient(quotient(B,A),
% j(A)))),quotient(quotient(C,
% difference(
% j(A),
% quotient(
% quotient(B,A),
% j(A)))),
% j(difference(
% j(A),quotient(
% quotient(B,A),
% j(A))))))),C)
% collapsed.
% Rule
% [336]
% quotient(difference(A,difference(j(difference(j(A),quotient(quotient(B,A),
% j(A)))),quotient(quotient(C,
% difference(
% j(A),
% quotient(
% quotient(B,A),
% j(A)))),
% j(difference(
% j(A),quotient(
% quotient(B,A),
% j(A))))))),C)
% <->
% difference(difference(j(C),quotient(quotient(A,C),j(C))),difference(j(C),
% quotient(quotient(
% difference(
% j(A),
% quotient(
% quotient(B,A),
% j(A))),C),
% j(C)))) collapsed.
% Rule
% [337]
% difference(difference(j(A),quotient(quotient(B,A),j(A))),A) ->
% quotient(difference(B,A),A) collapsed.
% Rule
% [338]
% quotient(difference(j(difference(j(A),quotient(quotient(B,A),j(A)))),
% quotient(quotient(C,difference(j(A),quotient(quotient(B,A),j(A)))),
% j(difference(j(A),quotient(quotient(B,A),j(A)))))),quotient(
% difference(
% j(B),quotient(
% quotient(
% difference(
% j(C),
% quotient(
% quotient(A,C),
% j(C))),B),
% j(B))),A))
% -> A collapsed.
% Rule
% [339] difference(t(A,B),difference(j(A),quotient(quotient(B,A),j(A)))) -> A
% collapsed.
% Rule
% [340]
% difference(difference(A,difference(j(difference(j(A),quotient(quotient(B,A),
% j(A)))),quotient(
% quotient(C,
% difference(
% j(A),quotient(
% quotient(B,A),
% j(A)))),
% j(difference(
% j(A),quotient(
% quotient(B,A),
% j(A))))))),
% difference(j(B),quotient(quotient(difference(j(C),quotient(quotient(A,C),
% j(C))),B),j(B)))) -> A
% collapsed.
% Rule
% [341]
% t(eta(B),difference(j(difference(eta(B),A)),quotient(quotient(C,difference(
% eta(B),A)),
% j(difference(eta(B),A))))) ->
% difference(j(quotient(A,eta(B))),quotient(quotient(t(eta(B),C),quotient(A,
% eta(B))),
% j(quotient(A,eta(B))))) collapsed.
% Rule
% [342]
% difference(j(t(eta(A),B)),quotient(quotient(quotient(C,eta(A)),t(eta(A),B)),
% j(t(eta(A),B)))) ->
% t(eta(A),difference(j(B),quotient(quotient(difference(eta(A),C),B),j(B))))
% collapsed.
% Rule
% [343]
% quotient(t(eta(A),difference(j(eta(A)),quotient(difference(j(A),quotient(
% quotient(B,A),
% j(A))),
% j(eta(A))))),B) -> i(i(i(i(A))))
% collapsed.
% Rule
% [344]
% quotient(difference(j(eta(A)),quotient(quotient(quotient(quotient(difference(
% j(A),B),
% j(A)),j(j(A))),
% eta(A)),j(eta(A)))),B) -> A collapsed.
% Rule
% [345]
% quotient(difference(j(eta(A)),quotient(quotient(difference(j(A),quotient(
% quotient(
% i(i(B)),A),
% j(A))),
% eta(A)),j(eta(A)))),B) ->
% difference(j(eta(A)),quotient(quotient(difference(j(A),quotient(quotient(
% eta(B),A),
% j(A))),eta(A)),
% j(eta(A)))) collapsed.
% Rule
% [347]
% difference(A,difference(j(eta(A)),quotient(quotient(quotient(quotient(
% difference(
% j(A),B),
% j(A)),j(j(A))),
% eta(A)),j(eta(A))))) -> B
% collapsed.
% Rule
% [348]
% difference(difference(j(A),quotient(quotient(B,A),j(A))),difference(j(A),
% quotient(quotient(
% quotient(
% difference(
% j(B),
% quotient(
% quotient(
% difference(
% j(C),
% quotient(
% quotient(A,C),
% j(C))),B),
% j(B))),A),A),
% j(A)))) -> C
% collapsed.
% Rule
% [349]
% quotient(difference(A,quotient(quotient(difference(j(B),quotient(quotient(
% i(i(A)),B),
% j(B))),j(A)),
% j(j(A)))),i(i(A))) -> difference(A,B) collapsed.
% Rule
% [350]
% difference(j(A),quotient(quotient(quotient(difference(j(B),quotient(quotient(
% t(B,
% difference(
% j(A),
% quotient(
% quotient(B,A),
% j(A)))),B),
% j(B))),A),A),
% j(A))) ->
% difference(j(A),quotient(quotient(difference(j(B),j(j(B))),A),j(A)))
% collapsed.
% Rule
% [351]
% difference(eta(A),difference(j(A),quotient(quotient(difference(j(j(A)),
% j(j(j(A)))),A),j(A)))) ->
% quotient(t(j(A),eta(A)),A) collapsed.
% Rule
% [352]
% difference(difference(j(A),quotient(quotient(B,A),j(A))),difference(j(
% difference(
% j(A),
% quotient(
% quotient(C,A),
% j(A)))),
% quotient(quotient(V_3,
% difference(
% j(A),
% quotient(
% quotient(C,A),
% j(A)))),
% j(difference(
% j(A),quotient(
% quotient(C,A),
% j(A)))))))
% <->
% quotient(difference(B,difference(j(C),quotient(quotient(difference(j(V_3),
% quotient(quotient(A,V_3),
% j(V_3))),C),j(C)))),A)
% collapsed.
% Rule
% [353]
% quotient(difference(B,difference(j(C),quotient(quotient(difference(j(V_3),
% quotient(quotient(A,V_3),
% j(V_3))),C),j(C)))),A)
% <->
% difference(difference(j(A),quotient(quotient(B,A),j(A))),difference(j(
% difference(
% j(A),
% quotient(
% quotient(C,A),
% j(A)))),
% quotient(quotient(V_3,
% difference(
% j(A),
% quotient(
% quotient(C,A),
% j(A)))),
% j(difference(
% j(A),quotient(
% quotient(C,A),
% j(A)))))))
% collapsed.
% Rule
% [354]
% difference(difference(difference(j(A),quotient(quotient(B,A),j(A))),difference(
% j(A),
% quotient(
% quotient(C,A),
% j(A)))),
% difference(B,difference(j(C),quotient(quotient(A,C),j(C))))) -> A collapsed.
% Rule
% [355]
% difference(difference(j(B),quotient(quotient(difference(j(C),quotient(
% quotient(A,C),
% j(C))),B),
% j(B))),difference(j(B),quotient(quotient(C,B),
% j(B)))) ->
% quotient(quotient(difference(A,difference(j(B),quotient(quotient(C,B),j(B)))),C),B)
% collapsed.
% Rule
% [356]
% t(eta(A),difference(j(B),quotient(quotient(difference(j(C),quotient(quotient(
% eta(A),C),
% j(C))),B),
% j(B)))) <->
% difference(j(t(eta(A),B)),quotient(quotient(difference(j(eta(A)),quotient(
% quotient(C,
% eta(A)),
% j(eta(A)))),
% t(eta(A),B)),j(t(eta(A),B)))) collapsed.
% Rule
% [357]
% difference(j(t(eta(A),B)),quotient(quotient(difference(j(eta(A)),quotient(
% quotient(C,
% eta(A)),
% j(eta(A)))),
% t(eta(A),B)),j(t(eta(A),B)))) <->
% t(eta(A),difference(j(B),quotient(quotient(difference(j(C),quotient(quotient(
% eta(A),C),
% j(C))),B),
% j(B)))) collapsed.
% Rule
% [358]
% t(eta(A),t(eta(B),difference(j(eta(A)),quotient(quotient(eta(B),eta(A)),
% j(eta(A)))))) ->
% difference(j(eta(A)),quotient(quotient(eta(B),eta(A)),j(eta(A)))) collapsed.
% Rule
% [359]
% difference(difference(A,difference(j(difference(j(A),j(j(A)))),quotient(
% quotient(B,
% difference(
% j(A),j(j(A)))),
% j(difference(
% j(A),
% j(j(A))))))),
% difference(j(A),quotient(B,j(A)))) -> A collapsed.
% Rule
% [360] difference(j(A),quotient(quotient(i(i(i(A))),A),j(A))) -> j(eta(A))
% collapsed.
% Rule
% [372]
% difference(j(B),quotient(quotient(A,B),j(B))) <->
% difference(A,difference(j(A),quotient(B,j(A)))) collapsed.
% Rule
% [374]
% difference(difference(j(B),quotient(quotient(A,B),j(B))),difference(j(B),
% quotient(quotient(
% difference(
% j(A),
% quotient(
% quotient(
% j(difference(
% j(B),
% quotient(
% quotient(A,B),
% j(B)))),A),
% j(A))),B),
% j(B)))) ->
% quotient(j(A),B) collapsed.
% Rule
% [375]
% quotient(quotient(difference(j(B),quotient(quotient(difference(j(A),quotient(
% quotient(
% j(B),A),
% j(A))),B),
% j(B))),j(B)),A) ->
% quotient(difference(j(B),A),A) collapsed.
% Rule
% [376]
% quotient(t(eta(A),difference(j(eta(A)),quotient(difference(j(j(A)),quotient(
% quotient(B,
% j(A)),
% j(
% j(A)))),
% j(eta(A))))),B) -> i(i(i(A)))
% collapsed.
% Rule
% [378]
% difference(A,difference(j(quotient(A,B)),quotient(quotient(difference(
% j(B),quotient(
% quotient(
% eta(quotient(A,B)),B),
% j(B))),
% quotient(A,B)),j(quotient(A,B)))))
% -> eta(quotient(A,B)) collapsed.
% Rule
% [379]
% difference(difference(j(A),quotient(quotient(t(eta(A),B),A),j(A))),quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(
% j(A)))) ->
% eta(A) collapsed.
% Rule
% [380]
% difference(A,difference(j(eta(A)),quotient(quotient(quotient(B,A),eta(A)),
% j(eta(A))))) ->
% quotient(quotient(quotient(difference(A,B),A),j(A)),A) collapsed.
% Rule
% [381]
% difference(A,quotient(quotient(quotient(difference(j(A),quotient(quotient(
% difference(
% j(B),
% quotient(
% quotient(
% i(A),B),
% j(B))),A),
% j(A))),i(A)),
% j(A)),j(j(A)))) <->
% difference(j(eta(A)),quotient(quotient(B,eta(A)),j(eta(A)))) collapsed.
% Rule
% [382]
% difference(j(eta(A)),quotient(quotient(B,eta(A)),j(eta(A)))) <->
% difference(A,quotient(quotient(quotient(difference(j(A),quotient(quotient(
% difference(
% j(B),
% quotient(
% quotient(
% i(A),B),
% j(B))),A),
% j(A))),i(A)),
% j(A)),j(j(A)))) collapsed.
% Rule
% [383]
% difference(difference(j(A),quotient(quotient(B,A),j(A))),eta(A)) ->
% quotient(i(B),A) collapsed.
% Rule
% [385]
% difference(C,difference(j(difference(j(C),quotient(quotient(A,C),j(C)))),
% quotient(quotient(i(i(B)),difference(j(C),quotient(quotient(A,C),
% j(C)))),j(difference(
% j(C),
% quotient(
% quotient(A,C),
% j(C)))))))
% <->
% quotient(difference(j(A),quotient(quotient(difference(j(eta(B)),quotient(
% quotient(
% difference(
% j(B),
% quotient(
% quotient(C,B),
% j(B))),
% eta(B)),
% j(eta(B)))),A),
% j(A))),C) collapsed.
% Rule
% [386]
% difference(C,difference(j(difference(j(C),quotient(quotient(i(i(A)),C),j(C)))),
% quotient(quotient(B,difference(j(C),quotient(quotient(i(i(A)),C),
% j(C)))),j(difference(
% j(C),quotient(
% quotient(
% i(i(A)),C),
% j(C)))))))
% <->
% quotient(difference(j(eta(A)),quotient(quotient(difference(j(A),quotient(
% quotient(
% difference(
% j(B),
% quotient(
% quotient(C,B),
% j(B))),A),
% j(A))),
% eta(A)),j(eta(A)))),C) collapsed.
% Rule
% [387]
% quotient(difference(j(A),quotient(quotient(difference(j(eta(B)),quotient(
% quotient(
% difference(
% j(B),
% quotient(
% quotient(C,B),
% j(B))),
% eta(B)),
% j(eta(B)))),A),
% j(A))),C) <->
% difference(C,difference(j(difference(j(C),quotient(quotient(A,C),j(C)))),
% quotient(quotient(i(i(B)),difference(j(C),quotient(quotient(A,C),
% j(C)))),j(difference(
% j(C),
% quotient(
% quotient(A,C),
% j(C)))))))
% collapsed.
% Rule
% [388]
% quotient(difference(j(eta(A)),quotient(quotient(difference(j(A),quotient(
% quotient(
% difference(
% j(B),
% quotient(
% quotient(C,B),
% j(B))),A),
% j(A))),
% eta(A)),j(eta(A)))),C) <->
% difference(C,difference(j(difference(j(C),quotient(quotient(i(i(A)),C),j(C)))),
% quotient(quotient(B,difference(j(C),quotient(quotient(i(i(A)),C),
% j(C)))),j(difference(
% j(C),quotient(
% quotient(
% i(i(A)),C),
% j(C)))))))
% collapsed.
% Rule
% [389]
% difference(C,difference(j(difference(j(C),quotient(quotient(A,C),j(C)))),
% quotient(quotient(j(j(B)),difference(j(C),quotient(quotient(A,C),
% j(C)))),j(difference(
% j(C),
% quotient(
% quotient(A,C),
% j(C)))))))
% <->
% quotient(difference(j(A),quotient(quotient(quotient(quotient(difference(
% j(B),C),
% j(B)),j(j(B))),A),
% j(A))),C) collapsed.
% Rule
% [390]
% difference(C,difference(j(difference(j(C),quotient(quotient(j(j(A)),C),j(C)))),
% quotient(quotient(B,difference(j(C),quotient(quotient(j(j(A)),C),
% j(C)))),j(difference(
% j(C),quotient(
% quotient(
% j(j(A)),C),
% j(C)))))))
% <->
% quotient(quotient(quotient(difference(j(A),difference(j(B),quotient(quotient(C,B),
% j(B)))),j(A)),
% j(j(A))),C) collapsed.
% Rule
% [391]
% quotient(difference(j(A),quotient(quotient(quotient(quotient(difference(
% j(B),C),
% j(B)),j(j(B))),A),
% j(A))),C) <->
% difference(C,difference(j(difference(j(C),quotient(quotient(A,C),j(C)))),
% quotient(quotient(j(j(B)),difference(j(C),quotient(quotient(A,C),
% j(C)))),j(difference(
% j(C),
% quotient(
% quotient(A,C),
% j(C)))))))
% collapsed.
% Rule
% [392]
% quotient(quotient(quotient(difference(j(A),difference(j(B),quotient(quotient(C,B),
% j(B)))),j(A)),
% j(j(A))),C) <->
% difference(C,difference(j(difference(j(C),quotient(quotient(j(j(A)),C),j(C)))),
% quotient(quotient(B,difference(j(C),quotient(quotient(j(j(A)),C),
% j(C)))),j(difference(
% j(C),quotient(
% quotient(
% j(j(A)),C),
% j(C)))))))
% collapsed.
% Rule
% [393]
% difference(quotient(A,B),difference(j(A),quotient(quotient(C,A),j(A)))) <->
% quotient(difference(j(B),quotient(quotient(difference(j(C),quotient(quotient(
% quotient(A,B),C),
% j(C))),B),
% j(B))),quotient(A,B)) collapsed.
% Rule
% [394]
% quotient(difference(j(B),quotient(quotient(difference(j(C),quotient(quotient(
% quotient(A,B),C),
% j(C))),B),
% j(B))),quotient(A,B)) <->
% difference(quotient(A,B),difference(j(A),quotient(quotient(C,A),j(A))))
% collapsed.
% Rule
% [395]
% difference(A,difference(j(A),quotient(difference(difference(j(A),quotient(
% quotient(B,A),
% j(A))),
% difference(j(A),quotient(quotient(
% difference(
% j(B),quotient(
% quotient(C,B),
% j(B))),A),
% j(A)))),j(A)))) <->
% quotient(difference(j(C),quotient(quotient(difference(j(A),quotient(quotient(B,A),
% j(A))),C),
% j(C))),B) collapsed.
% Rule
% [396]
% quotient(difference(j(C),quotient(quotient(difference(j(A),quotient(quotient(B,A),
% j(A))),C),
% j(C))),B) <->
% difference(A,difference(j(A),quotient(difference(difference(j(A),quotient(
% quotient(B,A),
% j(A))),
% difference(j(A),quotient(quotient(
% difference(
% j(B),quotient(
% quotient(C,B),
% j(B))),A),
% j(A)))),j(A))))
% collapsed.
% Rule
% [397]
% difference(difference(difference(j(A),quotient(quotient(B,A),j(A))),quotient(
% quotient(A,
% j(
% difference(
% j(A),
% quotient(
% quotient(B,A),
% j(A))))),
% j(
% j(
% difference(
% j(A),
% quotient(
% quotient(B,A),
% j(A))))))),
% eta(difference(j(A),quotient(quotient(B,A),j(A))))) ->
% quotient(i(A),i(difference(j(A),quotient(quotient(B,A),j(A))))) collapsed.
% Rule
% [401]
% quotient(difference(j(A),quotient(quotient(difference(j(eta(B)),quotient(
% quotient(
% difference(
% j(B),
% quotient(
% quotient(
% eta(A),B),
% j(B))),
% eta(B)),
% j(eta(B)))),A),
% j(A))),eta(A)) ->
% difference(j(A),quotient(quotient(i(i(B)),A),j(A))) collapsed.
% Rule
% [402]
% quotient(difference(j(A),quotient(quotient(quotient(quotient(difference(
% j(B),eta(A)),
% j(B)),j(j(B))),A),
% j(A))),eta(A)) ->
% difference(j(A),quotient(quotient(j(j(B)),A),j(A))) collapsed.
% Rule
% [403]
% difference(quotient(A,B),difference(j(A),quotient(quotient(quotient(C,
% quotient(A,B)),A),
% j(A)))) ->
% quotient(difference(j(B),quotient(quotient(C,B),j(B))),quotient(A,B))
% collapsed.
% Rule
% [404]
% difference(j(B),quotient(quotient(difference(j(C),quotient(quotient(quotient(A,B),C),
% j(C))),B),j(B))) <->
% quotient(difference(B,difference(j(B),quotient(difference(quotient(A,B),
% difference(j(A),quotient(
% quotient(C,A),
% j(A)))),
% j(B)))),quotient(difference(quotient(A,B),
% difference(j(B),
% quotient(quotient(
% difference(
% quotient(A,B),
% difference(
% j(A),
% quotient(
% quotient(C,A),
% j(A)))),B),
% j(B)))),difference(
% quotient(A,B),
% difference(
% j(A),quotient(
% quotient(C,A),
% j(A))))))
% collapsed.
% Rule
% [405]
% quotient(difference(B,difference(j(B),quotient(difference(quotient(A,B),
% difference(j(A),quotient(
% quotient(C,A),
% j(A)))),
% j(B)))),quotient(difference(quotient(A,B),
% difference(j(B),
% quotient(quotient(
% difference(
% quotient(A,B),
% difference(
% j(A),
% quotient(
% quotient(C,A),
% j(A)))),B),
% j(B)))),difference(
% quotient(A,B),
% difference(
% j(A),quotient(
% quotient(C,A),
% j(A))))))
% <->
% difference(j(B),quotient(quotient(difference(j(C),quotient(quotient(quotient(A,B),C),
% j(C))),B),j(B))) collapsed.
% Rule
% [406]
% difference(difference(A,B),difference(j(C),quotient(quotient(A,C),j(C)))) ->
% quotient(difference(B,difference(j(B),quotient(difference(difference(A,B),C),
% j(B)))),difference(A,B)) collapsed.
% Rule
% [407]
% quotient(difference(j(eta(A)),quotient(quotient(quotient(quotient(difference(
% j(A),B),
% j(A)),j(j(A))),
% eta(A)),j(eta(A)))),A) -> t(A,B)
% collapsed.
% Rule
% [408]
% difference(eta(A),quotient(difference(j(eta(A)),quotient(quotient(difference(
% j(A),A),
% eta(A)),j(eta(A)))),A))
% -> j(j(A)) collapsed.
% Rule
% [409]
% difference(i(B),difference(j(eta(B)),quotient(quotient(t(i(B),A),eta(B)),
% j(eta(B))))) ->
% quotient(quotient(quotient(A,j(B)),j(j(B))),i(B)) collapsed.
% Rule
% [411]
% difference(A,difference(j(B),quotient(quotient(difference(j(difference(B,A)),
% j(j(difference(B,A)))),B),
% j(B)))) -> quotient(t(difference(B,A),A),B)
% collapsed.
% Rule
% [412]
% quotient(difference(j(A),quotient(quotient(difference(j(B),j(j(B))),A),j(A))),
% quotient(t(B,difference(j(A),quotient(quotient(B,A),j(A)))),A)) ->
% difference(j(A),quotient(quotient(B,A),j(A))) collapsed.
% Rule
% [414]
% quotient(quotient(difference(A,difference(j(B),quotient(quotient(eta(A),B),
% j(B)))),A),i(A)) <->
% difference(eta(A),difference(A,quotient(quotient(B,j(A)),j(j(A)))))
% collapsed.
% Rule
% [415]
% difference(difference(j(quotient(A,B)),quotient(quotient(C,quotient(A,B)),
% j(quotient(A,B)))),A) ->
% quotient(difference(C,difference(j(B),quotient(quotient(quotient(A,B),B),
% j(B)))),quotient(A,B)) collapsed.
% Rule
% [416]
% difference(A,difference(j(quotient(A,B)),quotient(quotient(C,quotient(A,B)),
% j(quotient(A,B))))) <->
% quotient(difference(B,difference(j(C),quotient(quotient(quotient(A,B),C),
% j(C)))),quotient(A,B)) collapsed.
% Rule
% [417]
% quotient(difference(B,difference(j(C),quotient(quotient(quotient(A,B),C),
% j(C)))),quotient(A,B)) <->
% difference(A,difference(j(quotient(A,B)),quotient(quotient(C,quotient(A,B)),
% j(quotient(A,B))))) collapsed.
% Rule
% [418]
% t(difference(j(A),quotient(quotient(B,A),j(A))),quotient(difference(B,
% difference(j(C),
% quotient(quotient(A,C),
% j(C)))),A)) <->
% quotient(difference(j(A),quotient(quotient(C,A),j(A))),difference(j(A),
% quotient(quotient(B,A),
% j(A)))) collapsed.
% Rule
% [419]
% quotient(difference(j(A),quotient(quotient(C,A),j(A))),difference(j(A),
% quotient(quotient(B,A),
% j(A)))) <->
% t(difference(j(A),quotient(quotient(B,A),j(A))),quotient(difference(B,
% difference(j(C),
% quotient(quotient(A,C),
% j(C)))),A))
% collapsed.
% Rule
% [420]
% difference(difference(j(C),quotient(quotient(A,C),j(C))),difference(j(C),
% quotient(quotient(
% i(i(B)),C),
% j(C)))) <->
% quotient(difference(A,difference(j(eta(B)),quotient(quotient(difference(
% j(B),quotient(
% quotient(C,B),
% j(B))),
% eta(B)),j(eta(B))))),C)
% collapsed.
% Rule
% [421]
% quotient(difference(A,difference(j(eta(B)),quotient(quotient(difference(
% j(B),quotient(
% quotient(C,B),
% j(B))),
% eta(B)),j(eta(B))))),C)
% <->
% difference(difference(j(C),quotient(quotient(A,C),j(C))),difference(j(C),
% quotient(quotient(
% i(i(B)),C),
% j(C)))) collapsed.
% Rule
% [422]
% difference(difference(j(C),quotient(quotient(A,C),j(C))),difference(j(C),
% quotient(quotient(
% j(j(B)),C),
% j(C)))) <->
% quotient(difference(A,quotient(quotient(difference(j(B),C),j(B)),j(j(B)))),C)
% collapsed.
% Rule
% [424]
% difference(j(eta(A)),quotient(quotient(eta(B),eta(A)),j(eta(A)))) <->
% quotient(t(eta(A),difference(j(eta(B)),quotient(quotient(difference(j(B),
% quotient(quotient(
% eta(A),B),
% j(B))),eta(B)),
% j(eta(B))))),B) collapsed.
% Rule
% [425]
% quotient(t(eta(A),difference(j(eta(B)),quotient(quotient(difference(j(B),
% quotient(quotient(
% eta(A),B),
% j(B))),eta(B)),
% j(eta(B))))),B) <->
% difference(j(eta(A)),quotient(quotient(eta(B),eta(A)),j(eta(A)))) collapsed.
% Rule
% [426]
% difference(i(A),t(eta(A),difference(j(B),quotient(quotient(eta(A),B),j(B)))))
% <->
% quotient(difference(j(A),quotient(quotient(difference(j(B),quotient(quotient(
% i(A),B),
% j(B))),A),
% j(A))),i(A)) collapsed.
% Rule
% [427]
% quotient(difference(j(A),quotient(quotient(difference(j(B),quotient(quotient(
% i(A),B),
% j(B))),A),
% j(A))),i(A)) <->
% difference(i(A),t(eta(A),difference(j(B),quotient(quotient(eta(A),B),j(B)))))
% collapsed.
% Rule
% [432]
% difference(j(A),quotient(quotient(difference(i(i(A)),B),A),j(A))) ->
% difference(eta(A),B) collapsed.
% Rule
% [433]
% difference(j(j(A)),difference(j(A),quotient(quotient(B,A),j(A)))) ->
% difference(eta(A),B) collapsed.
% Rule
% [434]
% quotient(difference(j(j(A)),quotient(quotient(difference(j(eta(B)),quotient(
% quotient(
% difference(
% j(B),
% quotient(
% quotient(A,B),
% j(B))),
% eta(B)),
% j(
% eta(B)))),
% j(A)),j(j(A)))),A) ->
% difference(A,difference(j(eta(A)),quotient(quotient(i(i(B)),eta(A)),j(eta(A)))))
% collapsed.
% Rule
% [435]
% quotient(difference(j(j(A)),quotient(quotient(quotient(quotient(difference(
% j(B),A),
% j(B)),j(j(B))),
% j(A)),j(j(A)))),A) ->
% difference(A,difference(j(eta(A)),quotient(quotient(j(j(B)),eta(A)),j(eta(A)))))
% collapsed.
% Rule
% [437]
% quotient(difference(j(eta(A)),quotient(quotient(B,eta(A)),j(eta(A)))),
% quotient(difference(j(A),quotient(quotient(difference(j(B),quotient(quotient(
% i(A),B),
% j(B))),A),
% j(A))),i(A))) -> i(A) collapsed.
% Rule
% [438]
% difference(difference(i(A),difference(j(eta(A)),quotient(quotient(B,eta(A)),
% j(eta(A))))),difference(
% j(A),quotient(
% quotient(
% difference(
% j(B),
% quotient(
% quotient(
% i(A),B),
% j(B))),A),
% j(A)))) ->
% i(A) collapsed.
% Rule
% [439]
% difference(C,difference(j(difference(j(C),quotient(quotient(eta(A),C),j(C)))),
% quotient(quotient(B,difference(j(C),quotient(quotient(eta(A),C),
% j(C)))),j(difference(
% j(C),quotient(
% quotient(
% eta(A),C),
% j(C)))))))
% <->
% quotient(t(eta(A),difference(j(difference(j(B),quotient(quotient(C,B),j(B)))),
% quotient(quotient(eta(A),difference(j(B),quotient(quotient(C,B),
% j(B)))),j(
% difference(
% j(B),
% quotient(
% quotient(C,B),
% j(B))))))),C)
% collapsed.
% Rule
% [440]
% difference(C,difference(j(difference(j(C),quotient(quotient(A,C),j(C)))),
% quotient(quotient(eta(B),difference(j(C),quotient(quotient(A,C),
% j(C)))),j(difference(
% j(C),
% quotient(
% quotient(A,C),
% j(C))))))) ->
% quotient(difference(j(A),quotient(quotient(t(eta(B),difference(j(C),quotient(
% quotient(
% eta(B),C),
% j(C)))),A),
% j(A))),C) collapsed.
% Rule
% [441]
% quotient(t(eta(A),difference(j(difference(j(B),quotient(quotient(C,B),j(B)))),
% quotient(quotient(eta(A),difference(j(B),quotient(quotient(C,B),
% j(B)))),j(
% difference(
% j(B),
% quotient(
% quotient(C,B),
% j(B))))))),C)
% <->
% difference(C,difference(j(difference(j(C),quotient(quotient(eta(A),C),j(C)))),
% quotient(quotient(B,difference(j(C),quotient(quotient(eta(A),C),
% j(C)))),j(difference(
% j(C),quotient(
% quotient(
% eta(A),C),
% j(C)))))))
% collapsed.
% Rule
% [442]
% quotient(difference(j(A),quotient(quotient(t(eta(B),difference(j(eta(A)),
% quotient(quotient(
% eta(B),eta(A)),
% j(eta(A))))),A),j(A))),
% eta(A)) -> difference(j(A),quotient(quotient(eta(B),A),j(A))) collapsed.
% Rule
% [443]
% difference(difference(j(C),quotient(quotient(A,C),j(C))),difference(j(C),
% quotient(quotient(
% eta(B),C),
% j(C)))) ->
% quotient(difference(A,t(eta(B),difference(j(C),quotient(quotient(eta(B),C),
% j(C))))),C) collapsed.
% Rule
% [444]
% quotient(difference(i(t(A,B)),difference(j(A),quotient(quotient(t(A,B),A),
% j(A)))),t(A,B)) ->
% difference(j(A),quotient(quotient(B,A),j(A))) collapsed.
% Rule
% [446]
% difference(difference(j(C),quotient(quotient(B,C),j(C))),difference(j(C),
% quotient(quotient(
% difference(
% j(B),
% quotient(
% quotient(
% quotient(A,
% difference(
% j(C),
% quotient(
% quotient(B,C),
% j(C)))),B),
% j(B))),C),
% j(C)))) ->
% quotient(quotient(A,B),C) collapsed.
% Rule
% [447]
% difference(j(difference(j(A),quotient(quotient(B,A),j(A)))),quotient(
% quotient(
% quotient(
% quotient(
% difference(
% j(C),quotient(
% quotient(
% difference(
% j(A),
% quotient(
% quotient(B,A),
% j(A))),C),
% j(C))),B),A),
% difference(
% j(A),quotient(
% quotient(B,A),
% j(A)))),
% j(difference(
% j(A),quotient(
% quotient(B,A),
% j(A))))))
% ->
% difference(j(A),quotient(quotient(difference(j(B),quotient(quotient(C,B),
% j(B))),A),j(A))) collapsed.
% Rule
% [448]
% quotient(difference(j(A),quotient(quotient(B,A),j(A))),t(A,B)) -> t(t(A,B),A)
% collapsed.
% Rule
% [449]
% quotient(difference(j(A),quotient(quotient(difference(j(C),quotient(quotient(
% t(A,B),C),
% j(C))),A),
% j(A))),t(A,B)) <->
% difference(t(A,B),difference(j(difference(j(A),quotient(quotient(B,A),j(A)))),
% quotient(quotient(C,difference(j(A),quotient(quotient(B,A),
% j(A)))),j(difference(
% j(A),
% quotient(
% quotient(B,A),
% j(A)))))))
% collapsed.
% Rule
% [450]
% difference(t(A,B),difference(j(difference(j(A),quotient(quotient(B,A),j(A)))),
% quotient(quotient(C,difference(j(A),quotient(quotient(B,A),
% j(A)))),j(difference(
% j(A),
% quotient(
% quotient(B,A),
% j(A)))))))
% <->
% quotient(difference(j(A),quotient(quotient(difference(j(C),quotient(quotient(
% t(A,B),C),
% j(C))),A),
% j(A))),t(A,B)) collapsed.
% Rule
% [451]
% quotient(t(eta(quotient(A,B)),difference(j(A),quotient(quotient(eta(quotient(A,B)),A),
% j(A)))),B) ->
% i(i(quotient(A,B))) collapsed.
% Rule
% [452]
% quotient(difference(j(A),quotient(quotient(B,A),j(A))),difference(eta(A),B))
% -> j(j(A)) collapsed.
% Rule
% [453]
% quotient(difference(j(A),quotient(quotient(t(eta(A),difference(j(eta(A)),
% quotient(B,j(eta(A))))),A),
% j(A))),B) -> j(j(j(j(A)))) collapsed.
% Rule
% [455]
% difference(i(i(i(i(A)))),t(eta(A),difference(j(eta(A)),quotient(difference(
% j(A),
% quotient(
% quotient(B,A),
% j(A))),
% j(eta(A)))))) -> B
% collapsed.
% Rule
% [456]
% difference(j(difference(j(A),quotient(quotient(i(i(B)),A),j(A)))),quotient(
% quotient(C,
% difference(
% j(A),
% quotient(
% quotient(
% i(i(B)),A),
% j(A)))),
% j(difference(
% j(A),
% quotient(
% quotient(
% i(
% i(B)),A),
% j(A))))))
% <->
% difference(j(A),quotient(quotient(quotient(difference(j(eta(B)),quotient(
% quotient(
% difference(
% j(B),
% quotient(
% quotient(
% difference(
% j(C),
% quotient(
% quotient(A,C),
% j(C))),B),
% j(B))),
% eta(B)),
% j(eta(B)))),A),A),
% j(A))) collapsed.
% Rule
% [457]
% difference(j(A),quotient(quotient(quotient(difference(j(B),quotient(quotient(
% difference(
% j(
% eta(C)),
% quotient(
% quotient(
% difference(
% j(C),
% quotient(
% quotient(A,C),
% j(C))),
% eta(C)),
% j(
% eta(C)))),B),
% j(B))),A),A),
% j(A))) <->
% difference(j(difference(j(A),quotient(quotient(B,A),j(A)))),quotient(
% quotient(
% i(i(C)),difference(
% j(A),
% quotient(
% quotient(B,A),
% j(A)))),
% j(difference(
% j(A),quotient(
% quotient(B,A),
% j(A))))))
% collapsed.
% Rule
% [458]
% difference(j(A),quotient(quotient(quotient(difference(j(eta(B)),quotient(
% quotient(
% difference(
% j(B),
% quotient(
% quotient(
% difference(
% j(C),
% quotient(
% quotient(A,C),
% j(C))),B),
% j(B))),
% eta(B)),
% j(eta(B)))),A),A),
% j(A))) <->
% difference(j(difference(j(A),quotient(quotient(i(i(B)),A),j(A)))),quotient(
% quotient(C,
% difference(
% j(A),
% quotient(
% quotient(
% i(i(B)),A),
% j(A)))),
% j(difference(
% j(A),
% quotient(
% quotient(
% i(
% i(B)),A),
% j(A))))))
% collapsed.
% Rule
% [459]
% difference(j(difference(j(A),quotient(quotient(B,A),j(A)))),quotient(
% quotient(
% i(i(C)),difference(
% j(A),
% quotient(
% quotient(B,A),
% j(A)))),
% j(difference(
% j(A),quotient(
% quotient(B,A),
% j(A))))))
% <->
% difference(j(A),quotient(quotient(quotient(difference(j(B),quotient(quotient(
% difference(
% j(
% eta(C)),
% quotient(
% quotient(
% difference(
% j(C),
% quotient(
% quotient(A,C),
% j(C))),
% eta(C)),
% j(
% eta(C)))),B),
% j(B))),A),A),
% j(A))) collapsed.
% Rule
% [460]
% difference(j(difference(j(A),quotient(quotient(j(j(B)),A),j(A)))),quotient(
% quotient(C,
% difference(
% j(A),
% quotient(
% quotient(
% j(j(B)),A),
% j(A)))),
% j(difference(
% j(A),
% quotient(
% quotient(
% j(
% j(B)),A),
% j(A))))))
% <->
% difference(j(A),quotient(quotient(quotient(quotient(quotient(difference(
% j(B),difference(
% j(C),
% quotient(
% quotient(A,C),
% j(C)))),
% j(B)),j(j(B))),A),A),
% j(A))) collapsed.
% Rule
% [461]
% difference(j(A),quotient(quotient(quotient(difference(j(B),quotient(quotient(
% quotient(
% quotient(
% difference(
% j(C),A),
% j(C)),
% j(
% j(C))),B),
% j(B))),A),A),
% j(A))) <->
% difference(j(difference(j(A),quotient(quotient(B,A),j(A)))),quotient(
% quotient(
% j(j(C)),difference(
% j(A),
% quotient(
% quotient(B,A),
% j(A)))),
% j(difference(
% j(A),quotient(
% quotient(B,A),
% j(A))))))
% collapsed.
% Rule
% [462]
% difference(j(A),quotient(quotient(quotient(quotient(quotient(difference(
% j(B),difference(
% j(C),
% quotient(
% quotient(A,C),
% j(C)))),
% j(B)),j(j(B))),A),A),
% j(A))) <->
% difference(j(difference(j(A),quotient(quotient(j(j(B)),A),j(A)))),quotient(
% quotient(C,
% difference(
% j(A),
% quotient(
% quotient(
% j(j(B)),A),
% j(A)))),
% j(difference(
% j(A),
% quotient(
% quotient(
% j(
% j(B)),A),
% j(A))))))
% collapsed.
% Rule
% [463]
% difference(j(difference(j(A),quotient(quotient(B,A),j(A)))),quotient(
% quotient(
% j(j(C)),difference(
% j(A),
% quotient(
% quotient(B,A),
% j(A)))),
% j(difference(
% j(A),quotient(
% quotient(B,A),
% j(A))))))
% <->
% difference(j(A),quotient(quotient(quotient(difference(j(B),quotient(quotient(
% quotient(
% quotient(
% difference(
% j(C),A),
% j(C)),
% j(
% j(C))),B),
% j(B))),A),A),
% j(A))) collapsed.
% Rule
% [464]
% quotient(difference(j(A),quotient(quotient(quotient(difference(j(B),quotient(
% quotient(
% difference(
% j(C),
% quotient(
% quotient(A,C),
% j(C))),B),
% j(B))),A),A),
% j(A))),difference(j(A),quotient(quotient(B,A),j(A))))
% -> t(difference(j(A),quotient(quotient(B,A),j(A))),C) collapsed.
% Rule
% [465]
% t(A,difference(j(B),quotient(quotient(quotient(difference(j(C),quotient(
% quotient(
% difference(
% j(A),quotient(
% quotient(B,A),
% j(A))),C),
% j(C))),B),B),
% j(B)))) <->
% difference(A,difference(j(difference(j(A),j(j(A)))),quotient(quotient(
% difference(
% j(B),quotient(
% quotient(C,B),
% j(B))),
% difference(
% j(A),j(j(A)))),
% j(difference(j(A),
% j(j(A))))))) collapsed.
% Rule
% [466]
% difference(A,difference(j(difference(j(A),j(j(A)))),quotient(quotient(
% difference(
% j(B),quotient(
% quotient(C,B),
% j(B))),
% difference(
% j(A),j(j(A)))),
% j(difference(j(A),
% j(j(A))))))) <->
% t(A,difference(j(B),quotient(quotient(quotient(difference(j(C),quotient(
% quotient(
% difference(
% j(A),quotient(
% quotient(B,A),
% j(A))),C),
% j(C))),B),B),
% j(B)))) collapsed.
% Rule
% [467]
% quotient(difference(j(difference(A,B)),quotient(quotient(quotient(quotient(
% difference(
% j(C),A),
% j(C)),
% j(j(C))),difference(A,B)),
% j(difference(A,B)))),A) ->
% difference(A,difference(j(B),quotient(quotient(j(j(C)),B),j(B)))) collapsed.
% Rule
% [468]
% quotient(difference(j(difference(A,B)),quotient(quotient(difference(j(eta(C)),
% quotient(quotient(
% difference(
% j(C),
% quotient(
% quotient(A,C),
% j(C))),
% eta(C)),
% j(eta(C)))),
% difference(A,B)),j(difference(A,B)))),A)
% -> difference(A,difference(j(B),quotient(quotient(i(i(C)),B),j(B))))
% collapsed.
% Rule
% [469]
% t(i(A),quotient(difference(j(A),quotient(quotient(difference(j(B),quotient(
% quotient(
% i(A),B),
% j(B))),A),
% j(A))),i(A))) <->
% quotient(difference(j(eta(A)),quotient(quotient(B,eta(A)),j(eta(A)))),i(A))
% collapsed.
% Rule
% [470]
% quotient(difference(j(eta(A)),quotient(quotient(B,eta(A)),j(eta(A)))),i(A))
% <->
% t(i(A),quotient(difference(j(A),quotient(quotient(difference(j(B),quotient(
% quotient(
% i(A),B),
% j(B))),A),
% j(A))),i(A))) collapsed.
% Rule
% [472]
% quotient(difference(j(A),quotient(quotient(difference(j(B),j(j(B))),A),j(A))),
% difference(j(A),quotient(quotient(B,A),j(A)))) ->
% t(difference(j(A),quotient(quotient(B,A),j(A))),quotient(t(B,difference(
% j(A),quotient(
% quotient(B,A),
% j(A)))),A))
% collapsed.
% Rule
% [474]
% quotient(difference(A,difference(j(C),quotient(quotient(t(A,B),C),j(C)))),
% t(A,B)) <->
% difference(difference(j(A),quotient(quotient(B,A),j(A))),difference(j(t(A,B)),
% quotient(quotient(C,
% t(A,B)),
% j(t(A,B)))))
% collapsed.
% Rule
% [475]
% difference(difference(j(t(A,B)),quotient(quotient(C,t(A,B)),j(t(A,B)))),
% difference(j(A),quotient(quotient(B,A),j(A)))) ->
% quotient(difference(C,difference(j(A),quotient(quotient(t(A,B),A),j(A)))),
% t(A,B)) collapsed.
% Rule
% [476]
% difference(difference(j(A),quotient(quotient(B,A),j(A))),difference(j(t(A,B)),
% quotient(quotient(C,
% t(A,B)),
% j(t(A,B))))) <->
% quotient(difference(A,difference(j(C),quotient(quotient(t(A,B),C),j(C)))),
% t(A,B)) collapsed.
% Rule
% [478]
% difference(t(A,quotient(difference(j(B),quotient(quotient(difference(
% j(C),quotient(
% quotient(A,C),
% j(C))),B),
% j(B))),A)),difference(j(difference(
% j(A),
% quotient(
% quotient(B,A),
% j(A)))),
% quotient(quotient(C,
% difference(
% j(A),quotient(
% quotient(B,A),
% j(A)))),
% j(difference(j(A),
% quotient(quotient(B,A),
% j(A))))))) -> A
% collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% quotient(difference(j(eta(x0)),quotient(quotient(difference(i(x1),quotient(
% difference(
% j(x2),
% j(j(x2))),
% quotient(
% difference(x1,
% difference(
% j(x2),
% j(j(x2)))),x2))),x1),
% j(eta(x0)))),eta(x0)) = quotient(quotient(
% difference(
% j(eta(x0)),
% quotient(
% difference(x1,
% difference(
% j(x1),
% quotient(
% t(x1,
% quotient(
% difference(
% j(x2),
% j(j(x2))),
% quotient(
% difference(
% eta(x0),
% difference(
% j(x2),
% j(j(x2)))),x2))),
% j(x1)))),
% j(eta(x0)))),
% eta(x0)),
% eta(x0))
%
% Current number of equations to process: 644
% Current number of ordered equations: 14
% Current number of rules: 146
% New rule produced :
% [480] difference(A,difference(A,difference(j(A),quotient(t(A,B),j(A))))) -> B
% Current number of equations to process: 636
% Current number of ordered equations: 23
% Current number of rules: 147
% New rule produced :
% [481] quotient(difference(A,difference(j(A),quotient(t(A,B),j(A)))),B) -> A
% Current number of equations to process: 636
% Current number of ordered equations: 22
% Current number of rules: 148
% New rule produced :
% [482]
% quotient(difference(A,difference(j(A),quotient(t(A,B),j(A)))),A) -> t(A,B)
% Current number of equations to process: 636
% Current number of ordered equations: 21
% Current number of rules: 149
% New rule produced :
% [483]
% quotient(difference(i(quotient(A,B)),difference(B,difference(j(B),quotient(
% t(B,
% quotient(A,B)),
% j(B))))),
% quotient(A,B)) -> A
% Current number of equations to process: 636
% Current number of ordered equations: 20
% Current number of rules: 150
% New rule produced :
% [484]
% difference(A,difference(j(A),quotient(t(A,quotient(difference(j(eta(A)),
% quotient(B,j(eta(A)))),
% eta(A))),j(A)))) ->
% quotient(quotient(difference(j(A),B),j(A)),j(j(A)))
% Current number of equations to process: 636
% Current number of ordered equations: 19
% Current number of rules: 151
% New rule produced :
% [485]
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(C)))),B),A) <->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))))
% Current number of equations to process: 227
% Current number of ordered equations: 1631
% Current number of rules: 152
% New rule produced :
% [486]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))) <->
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(C)))),B),A)
% Current number of equations to process: 227
% Current number of ordered equations: 1630
% Current number of rules: 153
% New rule produced :
% [487]
% difference(A,difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))))) <->
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)
% Current number of equations to process: 135
% Current number of ordered equations: 1907
% Current number of rules: 154
% New rule produced :
% [488]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A) <->
% difference(A,difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))))
% Current number of equations to process: 135
% Current number of ordered equations: 1906
% Current number of rules: 155
% New rule produced :
% [489]
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,C),j(A))))),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A))))))))
% ->
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))
% Current number of equations to process: 135
% Current number of ordered equations: 1905
% Current number of rules: 156
% Rule [94] quotient(j(j(A)),A) -> t(A,eta(A)) is composed into [94]
% quotient(
% j(j(A)),A) ->
% j(eta(A))
% New rule produced : [490] t(A,eta(A)) -> j(eta(A))
% Rule [209] difference(t(A,eta(A)),j(j(A))) -> A collapsed.
% Rule [269] quotient(j(j(A)),t(A,eta(A))) -> t(t(A,eta(A)),A) collapsed.
% Rule [285] difference(t(t(A,eta(A)),A),j(j(A))) -> t(A,eta(A)) collapsed.
% Rule
% [368] difference(A,difference(j(A),quotient(t(A,eta(A)),j(A)))) -> j(j(A))
% collapsed.
% Rule [428] quotient(difference(j(A),quotient(t(A,eta(A)),j(A))),j(j(A))) -> A
% collapsed.
% Rule
% [431] quotient(difference(j(A),quotient(t(A,eta(A)),j(A))),A) -> t(A,j(j(A)))
% collapsed.
% Rule [471] quotient(t(A,eta(A)),i(A)) -> j(j(A)) collapsed.
% Current number of equations to process: 154
% Current number of ordered equations: 1837
% Current number of rules: 150
% New rule produced : [491] difference(j(A),A) -> quotient(A,i(A))
% Rule [246] difference(A,difference(j(A),A)) -> i(i(A)) collapsed.
% Rule [247] quotient(difference(j(A),A),A) -> j(j(A)) collapsed.
% Rule [254] quotient(difference(j(A),A),i(i(A))) -> A collapsed.
% Rule
% [326]
% quotient(quotient(difference(j(A),A),j(A)),j(j(A))) -> difference(j(A),A)
% collapsed.
% Rule [384] quotient(difference(j(j(A)),j(A)),i(A)) -> j(A) collapsed.
% Rule [400] difference(j(eta(A)),eta(A)) -> quotient(i(i(i(A))),j(A))
% collapsed.
% Current number of equations to process: 179
% Current number of ordered equations: 1756
% Current number of rules: 145
% New rule produced : [492] difference(j(A),i(A)) -> j(eta(A))
% Rule
% [445]
% quotient(difference(i(i(A)),quotient(quotient(difference(j(A),i(A)),j(A)),
% j(j(A)))),i(A)) -> quotient(i(i(i(A))),j(A))
% collapsed.
% Current number of equations to process: 183
% Current number of ordered equations: 1740
% Current number of rules: 145
% New rule produced : [493] difference(A,difference(i(A),A)) -> A
% Current number of equations to process: 183
% Current number of ordered equations: 1737
% Current number of rules: 146
% Rule [212] quotient(j(A),i(A)) -> t(i(A),eta(A)) is composed into [212]
% quotient(
% j(A),
% i(A)) ->
% j(eta(A))
% New rule produced : [494] t(i(A),eta(A)) -> j(eta(A))
% Rule [257] difference(t(i(A),eta(A)),j(A)) -> i(A) collapsed.
% Rule [290] quotient(j(A),t(i(A),eta(A))) -> t(t(i(A),eta(A)),i(A)) collapsed.
% Rule [321] difference(i(A),difference(A,quotient(t(i(A),eta(A)),A))) -> j(A)
% collapsed.
% Rule [323] quotient(difference(A,quotient(t(i(A),eta(A)),A)),j(A)) -> i(A)
% collapsed.
% Rule [367] difference(t(t(i(A),eta(A)),i(A)),j(A)) -> t(i(A),eta(A))
% collapsed.
% Rule
% [430] quotient(difference(A,quotient(t(i(A),eta(A)),A)),i(A)) -> t(i(A),j(A))
% collapsed.
% Current number of equations to process: 198
% Current number of ordered equations: 1686
% Current number of rules: 141
% New rule produced : [495] difference(j(eta(A)),A) -> i(i(A))
% Current number of equations to process: 199
% Current number of ordered equations: 1684
% Current number of rules: 142
% New rule produced : [496] t(j(A),j(eta(A))) -> eta(A)
% Current number of equations to process: 199
% Current number of ordered equations: 1679
% Current number of rules: 143
% New rule produced : [497] difference(eta(A),j(A)) -> j(j(j(A)))
% Current number of equations to process: 203
% Current number of ordered equations: 1674
% Current number of rules: 144
% New rule produced : [498] quotient(j(eta(A)),i(A)) -> j(j(A))
% Current number of equations to process: 202
% Current number of ordered equations: 1674
% Current number of rules: 145
% New rule produced : [499] difference(j(eta(A)),j(j(A))) -> A
% Rule [275] quotient(difference(j(eta(A)),j(j(A))),eta(A)) -> i(i(A))
% collapsed.
% Rule [277] difference(eta(A),difference(j(eta(A)),j(j(A)))) -> j(j(A))
% collapsed.
% Rule [291] quotient(difference(j(eta(A)),j(j(A))),j(j(A))) -> eta(A)
% collapsed.
% Current number of equations to process: 210
% Current number of ordered equations: 1637
% Current number of rules: 143
% New rule produced : [500] difference(A,quotient(A,i(A))) -> i(i(A))
% Current number of equations to process: 209
% Current number of ordered equations: 1637
% Current number of rules: 144
% New rule produced : [501] quotient(i(A),quotient(j(A),A)) -> A
% Current number of equations to process: 209
% Current number of ordered equations: 1636
% Current number of rules: 145
% New rule produced : [502] t(j(j(A)),A) -> j(j(j(j(A))))
% Current number of equations to process: 218
% Current number of ordered equations: 1626
% Current number of rules: 146
% New rule produced : [503] quotient(i(i(A)),j(eta(A))) -> A
% Current number of equations to process: 226
% Current number of ordered equations: 1611
% Current number of rules: 147
% New rule produced : [504] difference(j(A),j(eta(A))) -> i(i(A))
% Rule [373] quotient(quotient(difference(j(A),j(eta(A))),j(A)),j(j(A))) -> A
% collapsed.
% Current number of equations to process: 227
% Current number of ordered equations: 1594
% Current number of rules: 147
% New rule produced : [505] quotient(i(A),A) -> t(A,quotient(j(A),A))
% Current number of equations to process: 232
% Current number of ordered equations: 1588
% Current number of rules: 148
% New rule produced : [506] quotient(j(j(A)),j(A)) -> quotient(A,i(A))
% Rule [398] quotient(quotient(j(j(A)),j(A)),j(j(A))) -> j(j(j(j(A))))
% collapsed.
% Current number of equations to process: 249
% Current number of ordered equations: 1558
% Current number of rules: 148
% New rule produced : [507] difference(eta(A),i(i(i(A)))) -> i(A)
% Current number of equations to process: 249
% Current number of ordered equations: 1557
% Current number of rules: 149
% New rule produced : [508] quotient(difference(A,j(A)),j(A)) -> j(A)
% Current number of equations to process: 249
% Current number of ordered equations: 1555
% Current number of rules: 150
% New rule produced : [509] difference(i(A),difference(A,j(A))) -> i(A)
% Current number of equations to process: 249
% Current number of ordered equations: 1553
% Current number of rules: 151
% New rule produced : [510] quotient(difference(A,j(A)),i(A)) -> i(A)
% Current number of equations to process: 249
% Current number of ordered equations: 1550
% Current number of rules: 152
% New rule produced : [511] quotient(t(A,quotient(j(A),A)),j(A)) -> j(A)
% Current number of equations to process: 248
% Current number of ordered equations: 1550
% Current number of rules: 153
% New rule produced : [512] difference(j(A),quotient(j(A),A)) -> i(A)
% Current number of equations to process: 247
% Current number of ordered equations: 1549
% Current number of rules: 154
% New rule produced : [513] t(j(eta(A)),i(A)) -> j(j(j(A)))
% Current number of equations to process: 248
% Current number of ordered equations: 1546
% Current number of rules: 155
% New rule produced : [514] quotient(quotient(A,i(A)),i(i(A))) -> A
% Current number of equations to process: 247
% Current number of ordered equations: 1545
% Current number of rules: 156
% New rule produced : [515] quotient(eta(A),j(j(j(A)))) -> j(j(A))
% Current number of equations to process: 247
% Current number of ordered equations: 1542
% Current number of rules: 157
% New rule produced :
% [516] difference(eta(A),j(eta(A))) -> quotient(j(eta(A)),eta(A))
% Current number of equations to process: 247
% Current number of ordered equations: 1537
% Current number of rules: 158
% Rule [454]
% difference(A,quotient(i(i(i(A))),j(A))) ->
% quotient(quotient(j(A),A),j(A)) is composed into [454]
% difference(A,quotient(
% i(
% i(i(A))),
% j(A))) ->
% j(j(j(A)))
% Rule [300] difference(j(j(A)),eta(A)) -> quotient(quotient(j(A),A),j(A)) is composed into
% [300] difference(j(j(A)),eta(A)) -> j(j(j(A)))
% New rule produced : [517] quotient(quotient(j(A),A),j(A)) -> j(j(j(A)))
% Rule [272] quotient(quotient(quotient(j(A),A),j(A)),eta(A)) -> j(A)
% collapsed.
% Rule [299] quotient(quotient(quotient(j(A),A),j(A)),j(A)) -> t(j(A),eta(A))
% collapsed.
% Current number of equations to process: 267
% Current number of ordered equations: 1481
% Current number of rules: 157
% New rule produced : [518] i(t(eta(A),eta(B))) -> j(t(eta(A),eta(B)))
% Current number of equations to process: 267
% Current number of ordered equations: 1480
% Current number of rules: 158
% New rule produced : [519] t(j(j(j(A))),j(eta(A))) -> eta(A)
% Current number of equations to process: 267
% Current number of ordered equations: 1475
% Current number of rules: 159
% New rule produced : [520] quotient(j(eta(A)),A) -> j(j(j(A)))
% Current number of equations to process: 268
% Current number of ordered equations: 1473
% Current number of rules: 160
% New rule produced : [521] difference(j(eta(A)),j(j(j(A)))) -> j(A)
% Current number of equations to process: 269
% Current number of ordered equations: 1468
% Current number of rules: 161
% New rule produced : [522] quotient(j(j(A)),j(eta(A))) -> t(j(eta(A)),A)
% Current number of equations to process: 270
% Current number of ordered equations: 1463
% Current number of rules: 162
% New rule produced : [523] t(j(A),eta(A)) -> j(eta(A))
% Rule [271] difference(t(j(A),eta(A)),j(j(j(A)))) -> j(A) collapsed.
% Current number of equations to process: 279
% Current number of ordered equations: 1448
% Current number of rules: 162
% New rule produced : [524] difference(t(i(i(A)),eta(A)),A) -> i(i(A))
% Current number of equations to process: 279
% Current number of ordered equations: 1445
% Current number of rules: 163
% New rule produced : [525] j(j(t(eta(A),eta(B)))) -> t(eta(A),eta(B))
% Current number of equations to process: 280
% Current number of ordered equations: 1443
% Current number of rules: 164
% New rule produced : [526] quotient(j(j(j(j(A)))),eta(A)) -> j(j(A))
% Current number of equations to process: 280
% Current number of ordered equations: 1441
% Current number of rules: 165
% Rule [522] quotient(j(j(A)),j(eta(A))) -> t(j(eta(A)),A) is composed into
% [522] quotient(j(j(A)),j(eta(A))) -> j(j(j(j(A))))
% New rule produced : [527] t(j(eta(A)),A) -> j(j(j(j(A))))
% Current number of equations to process: 280
% Current number of ordered equations: 1440
% Current number of rules: 166
% New rule produced : [528] difference(eta(A),i(i(i(i(A))))) -> i(i(A))
% Current number of equations to process: 280
% Current number of ordered equations: 1439
% Current number of rules: 167
% New rule produced : [529] difference(j(j(A)),quotient(A,j(A))) -> j(j(A))
% Current number of equations to process: 280
% Current number of ordered equations: 1436
% Current number of rules: 168
% New rule produced : [530] difference(j(j(j(A))),eta(A)) -> j(j(j(j(A))))
% Current number of equations to process: 282
% Current number of ordered equations: 1432
% Current number of rules: 169
% New rule produced :
% [531] quotient(i(i(i(A))),j(A)) -> quotient(eta(A),j(eta(A)))
% Rule [436] quotient(quotient(i(i(i(A))),j(A)),i(i(i(A)))) -> t(i(i(i(A))),A)
% collapsed.
% Rule [454] difference(A,quotient(i(i(i(A))),j(A))) -> j(j(j(A))) collapsed.
% Current number of equations to process: 352
% Current number of ordered equations: 1351
% Current number of rules: 168
% New rule produced :
% [532] difference(A,quotient(eta(A),j(eta(A)))) -> j(j(j(A)))
% Current number of equations to process: 351
% Current number of ordered equations: 1351
% Current number of rules: 169
% New rule produced : [533] quotient(i(i(i(A))),eta(A)) -> i(i(i(i(i(A)))))
% Current number of equations to process: 351
% Current number of ordered equations: 1350
% Current number of rules: 170
% New rule produced : [534] quotient(t(eta(A),B),quotient(B,eta(A))) -> eta(A)
% Current number of equations to process: 351
% Current number of ordered equations: 1348
% Current number of rules: 171
% New rule produced :
% [535] quotient(quotient(eta(A),j(eta(A))),eta(A)) -> eta(A)
% Current number of equations to process: 351
% Current number of ordered equations: 1345
% Current number of rules: 172
% New rule produced : [536] difference(j(j(j(A))),quotient(j(A),A)) -> j(A)
% Current number of equations to process: 351
% Current number of ordered equations: 1344
% Current number of rules: 173
% New rule produced : [537] quotient(difference(A,j(j(j(A)))),j(A)) -> i(A)
% Current number of equations to process: 351
% Current number of ordered equations: 1343
% Current number of rules: 174
% New rule produced : [538] difference(i(A),difference(A,j(j(j(A))))) -> j(A)
% Current number of equations to process: 351
% Current number of ordered equations: 1342
% Current number of rules: 175
% New rule produced : [539] quotient(quotient(A,i(A)),j(j(A))) -> j(j(j(j(A))))
% Current number of equations to process: 350
% Current number of ordered equations: 1342
% Current number of rules: 176
% New rule produced : [540] quotient(quotient(i(i(A)),j(A)),j(j(A))) -> A
% Current number of equations to process: 347
% Current number of ordered equations: 1340
% Current number of rules: 177
% New rule produced :
% [541]
% difference(eta(A),quotient(B,eta(A))) ->
% quotient(difference(eta(A),B),eta(A))
% Current number of equations to process: 375
% Current number of ordered equations: 1310
% Current number of rules: 178
% New rule produced :
% [542] difference(eta(A),j(t(eta(A),B))) -> quotient(j(B),eta(A))
% Current number of equations to process: 375
% Current number of ordered equations: 1309
% Current number of rules: 179
% New rule produced :
% [543] difference(eta(A),i(t(eta(A),B))) -> quotient(i(B),eta(A))
% Current number of equations to process: 375
% Current number of ordered equations: 1308
% Current number of rules: 180
% New rule produced : [544] quotient(t(i(i(A)),eta(A)),i(A)) -> j(j(A))
% Current number of equations to process: 376
% Current number of ordered equations: 1306
% Current number of rules: 181
% New rule produced : [545] quotient(i(i(i(i(A)))),j(eta(A))) -> i(i(A))
% Current number of equations to process: 388
% Current number of ordered equations: 1293
% Current number of rules: 182
% New rule produced : [546] t(t(eta(A),B),eta(A)) -> t(eta(A),t(B,eta(A)))
% Current number of equations to process: 391
% Current number of ordered equations: 1285
% Current number of rules: 183
% New rule produced :
% [547] t(eta(A),eta(difference(eta(A),B))) -> eta(quotient(B,eta(A)))
% Current number of equations to process: 390
% Current number of ordered equations: 1279
% Current number of rules: 184
% New rule produced :
% [548] difference(eta(A),quotient(eta(A),j(eta(A)))) -> eta(A)
% Current number of equations to process: 386
% Current number of ordered equations: 1279
% Current number of rules: 185
% New rule produced :
% [549] difference(i(i(i(i(i(A))))),eta(A)) -> i(i(i(i(A))))
% Current number of equations to process: 383
% Current number of ordered equations: 1275
% Current number of rules: 186
% New rule produced :
% [550] quotient(i(i(i(i(A)))),eta(A)) -> i(i(i(i(i(i(A))))))
% Current number of equations to process: 383
% Current number of ordered equations: 1274
% Current number of rules: 187
% New rule produced :
% [551] quotient(difference(A,j(j(j(A)))),i(A)) -> t(i(A),j(A))
% Current number of equations to process: 383
% Current number of ordered equations: 1273
% Current number of rules: 188
% New rule produced :
% [552] difference(A,difference(A,difference(j(A),quotient(A,j(A))))) -> A
% Current number of equations to process: 382
% Current number of ordered equations: 1272
% Current number of rules: 189
% New rule produced :
% [553] quotient(difference(A,difference(j(A),quotient(A,j(A)))),A) -> A
% Current number of equations to process: 382
% Current number of ordered equations: 1270
% Current number of rules: 190
% New rule produced : [554] difference(t(i(i(i(A))),eta(A)),i(A)) -> i(i(i(A)))
% Current number of equations to process: 382
% Current number of ordered equations: 1268
% Current number of rules: 191
% New rule produced :
% [555] t(eta(A),quotient(eta(A),j(eta(A)))) -> quotient(eta(A),j(eta(A)))
% Current number of equations to process: 382
% Current number of ordered equations: 1266
% Current number of rules: 192
% New rule produced :
% [556] quotient(eta(A),j(t(eta(A),B))) -> t(eta(A),quotient(eta(A),j(B)))
% Current number of equations to process: 382
% Current number of ordered equations: 1265
% Current number of rules: 193
% New rule produced :
% [557] quotient(eta(A),i(t(eta(A),B))) -> t(eta(A),quotient(eta(A),i(B)))
% Current number of equations to process: 382
% Current number of ordered equations: 1264
% Current number of rules: 194
% New rule produced :
% [558] t(eta(A),quotient(j(eta(A)),eta(A))) -> quotient(j(eta(A)),eta(A))
% Current number of equations to process: 382
% Current number of ordered equations: 1262
% Current number of rules: 195
% New rule produced :
% [559] quotient(j(t(eta(A),B)),eta(A)) -> t(eta(A),quotient(j(B),eta(A)))
% Current number of equations to process: 382
% Current number of ordered equations: 1261
% Current number of rules: 196
% New rule produced :
% [560] quotient(i(t(eta(A),B)),eta(A)) -> t(eta(A),quotient(i(B),eta(A)))
% Current number of equations to process: 382
% Current number of ordered equations: 1260
% Current number of rules: 197
% New rule produced :
% [561] difference(j(t(eta(A),B)),eta(A)) -> t(eta(A),difference(j(B),eta(A)))
% Current number of equations to process: 382
% Current number of ordered equations: 1259
% Current number of rules: 198
% New rule produced :
% [562] difference(i(t(eta(A),B)),eta(A)) -> t(eta(A),difference(i(B),eta(A)))
% Current number of equations to process: 382
% Current number of ordered equations: 1258
% Current number of rules: 199
% New rule produced :
% [563] quotient(quotient(eta(A),j(eta(A))),j(j(A))) -> i(A)
% Current number of equations to process: 381
% Current number of ordered equations: 1258
% Current number of rules: 200
% New rule produced :
% [564] t(t(eta(A),B),j(eta(A))) -> t(eta(A),t(B,j(eta(A))))
% Current number of equations to process: 383
% Current number of ordered equations: 1251
% Current number of rules: 201
% New rule produced :
% [565] t(j(eta(A)),t(eta(A),B)) -> t(eta(A),t(j(eta(A)),B))
% Current number of equations to process: 384
% Current number of ordered equations: 1248
% Current number of rules: 202
% New rule produced :
% [566] i(difference(A,difference(j(A),quotient(A,j(A))))) -> quotient(j(A),A)
% Current number of equations to process: 384
% Current number of ordered equations: 1247
% Current number of rules: 203
% New rule produced :
% [567] quotient(t(eta(A),B),i(i(A))) -> t(eta(A),quotient(B,j(j(A))))
% Current number of equations to process: 385
% Current number of ordered equations: 1244
% Current number of rules: 204
% New rule produced :
% [568] quotient(i(i(A)),t(eta(A),B)) -> t(eta(A),quotient(j(j(A)),B))
% Current number of equations to process: 385
% Current number of ordered equations: 1243
% Current number of rules: 205
% New rule produced :
% [569] difference(i(i(A)),t(eta(A),B)) -> t(eta(A),difference(j(j(A)),B))
% Current number of equations to process: 386
% Current number of ordered equations: 1241
% Current number of rules: 206
% New rule produced :
% [570] difference(t(eta(A),B),i(i(A))) -> t(eta(A),difference(B,j(j(A))))
% Current number of equations to process: 386
% Current number of ordered equations: 1240
% Current number of rules: 207
% New rule produced :
% [571]
% difference(A,difference(j(A),quotient(A,j(A)))) -> difference(j(A),j(j(A)))
% Rule [552] difference(A,difference(A,difference(j(A),quotient(A,j(A))))) -> A
% collapsed.
% Rule [553] quotient(difference(A,difference(j(A),quotient(A,j(A)))),A) -> A
% collapsed.
% Rule
% [566] i(difference(A,difference(j(A),quotient(A,j(A))))) -> quotient(j(A),A)
% collapsed.
% Current number of equations to process: 413
% Current number of ordered equations: 1213
% Current number of rules: 205
% Rule [410]
% difference(difference(difference(j(A),j(j(A))),quotient(quotient(A,
% j(difference(
% j(A),j(j(A))))),
% j(j(difference(j(A),
% j(j(A))))))),
% eta(difference(j(A),j(j(A))))) ->
% quotient(i(A),i(difference(j(A),j(j(A))))) is composed into [410]
% difference(
% difference(
% difference(
% j(A),
% j(j(A))),
% quotient(
% quotient(A,
% j(difference(
% j(A),
% j(
% j(A))))),
% j(j(
% difference(
% j(A),
% j(
% j(A))))))),
% eta(
% difference(
% j(A),
% j(j(A)))))
% ->
% quotient(
% i(A),
% quotient(
% j(A),A))
% New rule produced : [572] i(difference(j(A),j(j(A)))) -> quotient(j(A),A)
% Current number of equations to process: 415
% Current number of ordered equations: 1210
% Current number of rules: 206
% New rule produced :
% [573] difference(A,difference(j(A),quotient(j(eta(A)),j(A)))) -> j(j(A))
% Current number of equations to process: 414
% Current number of ordered equations: 1210
% Current number of rules: 207
% New rule produced :
% [574] quotient(eta(A),i(i(i(i(i(A)))))) -> i(i(i(i(i(i(A))))))
% Current number of equations to process: 413
% Current number of ordered equations: 1208
% Current number of rules: 208
% Rule [252] quotient(A,i(i(A))) -> t(i(i(A)),eta(A)) is composed into
% [252] quotient(A,i(i(A))) -> j(eta(A))
% New rule produced : [575] t(i(i(A)),eta(A)) -> j(eta(A))
% Rule [524] difference(t(i(i(A)),eta(A)),A) -> i(i(A)) collapsed.
% Rule [544] quotient(t(i(i(A)),eta(A)),i(A)) -> j(j(A)) collapsed.
% Current number of equations to process: 418
% Current number of ordered equations: 1201
% Current number of rules: 207
% New rule produced :
% [576] quotient(quotient(j(A),A),j(j(j(A)))) -> j(j(j(j(j(A)))))
% Current number of equations to process: 417
% Current number of ordered equations: 1201
% Current number of rules: 208
% New rule produced :
% [577] quotient(difference(i(A),quotient(quotient(B,A),j(A))),B) -> i(i(A))
% Current number of equations to process: 417
% Current number of ordered equations: 1200
% Current number of rules: 209
% New rule produced :
% [578] quotient(t(eta(A),B),i(i(i(A)))) -> t(eta(A),quotient(B,j(A)))
% Current number of equations to process: 418
% Current number of ordered equations: 1197
% Current number of rules: 210
% New rule produced :
% [579] quotient(i(i(i(A))),t(eta(A),B)) -> t(eta(A),quotient(j(A),B))
% Current number of equations to process: 418
% Current number of ordered equations: 1196
% Current number of rules: 211
% New rule produced :
% [580] difference(i(i(i(A))),t(eta(A),B)) -> t(eta(A),difference(j(A),B))
% Current number of equations to process: 418
% Current number of ordered equations: 1195
% Current number of rules: 212
% New rule produced :
% [581] difference(t(eta(A),B),i(i(i(A)))) -> t(eta(A),difference(B,j(A)))
% Current number of equations to process: 418
% Current number of ordered equations: 1194
% Current number of rules: 213
% New rule produced :
% [582]
% difference(eta(A),difference(A,j(A))) ->
% quotient(quotient(difference(A,j(A)),A),i(A))
% Current number of equations to process: 418
% Current number of ordered equations: 1193
% Current number of rules: 214
% New rule produced :
% [583] quotient(quotient(quotient(A,i(A)),j(A)),j(j(A))) -> quotient(A,i(A))
% Current number of equations to process: 417
% Current number of ordered equations: 1192
% Current number of rules: 215
% New rule produced :
% [584] difference(t(eta(A),B),i(i(i(i(A))))) -> t(eta(A),difference(B,A))
% Current number of equations to process: 417
% Current number of ordered equations: 1190
% Current number of rules: 216
% New rule produced :
% [585] difference(i(i(i(i(A)))),t(eta(A),B)) -> t(eta(A),difference(A,B))
% Current number of equations to process: 418
% Current number of ordered equations: 1187
% Current number of rules: 217
% New rule produced :
% [586] quotient(t(eta(A),B),i(i(i(i(A))))) -> t(eta(A),quotient(B,A))
% Current number of equations to process: 419
% Current number of ordered equations: 1183
% Current number of rules: 218
% New rule produced :
% [587] quotient(i(i(i(i(A)))),t(eta(A),B)) -> t(eta(A),quotient(A,B))
% Current number of equations to process: 419
% Current number of ordered equations: 1181
% Current number of rules: 219
% New rule produced :
% [588] difference(i(i(i(i(i(i(A)))))),eta(A)) -> i(i(i(i(i(A)))))
% Current number of equations to process: 419
% Current number of ordered equations: 1179
% Current number of rules: 220
% New rule produced :
% [589] quotient(quotient(quotient(quotient(j(A),A),A),j(A)),i(A)) -> j(A)
% Current number of equations to process: 419
% Current number of ordered equations: 1178
% Current number of rules: 221
% New rule produced :
% [590]
% quotient(quotient(A,j(j(B))),j(j(j(B)))) -> quotient(quotient(A,B),j(B))
% Current number of equations to process: 425
% Current number of ordered equations: 1167
% Current number of rules: 222
% New rule produced : [591] quotient(j(eta(A)),i(i(i(i(A))))) -> i(A)
% Current number of equations to process: 424
% Current number of ordered equations: 1167
% Current number of rules: 223
% New rule produced :
% [592]
% difference(i(i(i(i(A)))),j(eta(A))) -> t(eta(A),difference(A,j(eta(A))))
% Current number of equations to process: 424
% Current number of ordered equations: 1166
% Current number of rules: 224
% New rule produced :
% [593] difference(j(eta(A)),i(i(i(i(A))))) -> i(i(i(i(i(i(A))))))
% Current number of equations to process: 423
% Current number of ordered equations: 1166
% Current number of rules: 225
% New rule produced : [594] t(t(eta(A),B),i(i(i(i(A))))) -> t(eta(A),t(B,A))
% Current number of equations to process: 423
% Current number of ordered equations: 1165
% Current number of rules: 226
% New rule produced : [595] t(i(i(i(i(A)))),t(eta(A),B)) -> t(eta(A),t(A,B))
% Current number of equations to process: 423
% Current number of ordered equations: 1164
% Current number of rules: 227
% New rule produced :
% [596] difference(A,difference(j(A),quotient(A,i(A)))) -> quotient(A,i(A))
% Current number of equations to process: 422
% Current number of ordered equations: 1164
% Current number of rules: 228
% New rule produced :
% [597] quotient(difference(j(A),quotient(j(eta(A)),j(A))),j(j(A))) -> A
% Current number of equations to process: 420
% Current number of ordered equations: 1164
% Current number of rules: 229
% New rule produced :
% [598] quotient(difference(j(A),quotient(j(eta(A)),j(A))),A) -> t(A,j(j(A)))
% Current number of equations to process: 419
% Current number of ordered equations: 1164
% Current number of rules: 230
% New rule produced :
% [599] difference(t(eta(A),B),j(t(eta(A),C))) -> t(eta(A),difference(B,j(C)))
% Current number of equations to process: 419
% Current number of ordered equations: 1163
% Current number of rules: 231
% New rule produced :
% [600] difference(j(t(eta(A),B)),t(eta(A),C)) -> t(eta(A),difference(j(B),C))
% Current number of equations to process: 419
% Current number of ordered equations: 1162
% Current number of rules: 232
% New rule produced :
% [601] quotient(t(eta(A),B),j(t(eta(A),C))) -> t(eta(A),quotient(B,j(C)))
% Rule
% [222]
% difference(j(t(eta(A),B)),quotient(t(eta(A),quotient(C,B)),j(t(eta(A),B))))
% -> t(eta(A),difference(B,difference(j(B),quotient(t(B,C),j(B))))) collapsed.
% Current number of equations to process: 426
% Current number of ordered equations: 1093
% Current number of rules: 232
% New rule produced :
% [602] quotient(j(t(eta(A),B)),t(eta(A),C)) -> t(eta(A),quotient(j(B),C))
% Current number of equations to process: 426
% Current number of ordered equations: 1092
% Current number of rules: 233
% New rule produced :
% [603] difference(t(eta(A),B),i(t(eta(A),C))) -> t(eta(A),difference(B,i(C)))
% Current number of equations to process: 426
% Current number of ordered equations: 1091
% Current number of rules: 234
% New rule produced :
% [604] difference(i(t(eta(A),B)),t(eta(A),C)) -> t(eta(A),difference(i(B),C))
% Current number of equations to process: 427
% Current number of ordered equations: 1089
% Current number of rules: 235
% New rule produced :
% [605] quotient(t(eta(A),B),i(t(eta(A),C))) -> t(eta(A),quotient(B,i(C)))
% Current number of equations to process: 427
% Current number of ordered equations: 1088
% Current number of rules: 236
% New rule produced :
% [606] quotient(i(t(eta(A),B)),t(eta(A),C)) -> t(eta(A),quotient(i(B),C))
% Current number of equations to process: 427
% Current number of ordered equations: 1087
% Current number of rules: 237
% New rule produced :
% [607] quotient(quotient(quotient(difference(i(A),B),j(A)),j(j(A))),B) -> A
% Current number of equations to process: 426
% Current number of ordered equations: 1085
% Current number of rules: 238
% New rule produced :
% [608] difference(quotient(quotient(A,j(B)),j(j(B))),quotient(A,i(B))) -> B
% Current number of equations to process: 426
% Current number of ordered equations: 1084
% Current number of rules: 239
% New rule produced :
% [609]
% quotient(j(t(eta(A),B)),j(eta(A))) -> t(eta(A),quotient(j(B),j(eta(A))))
% Current number of equations to process: 439
% Current number of ordered equations: 1070
% Current number of rules: 240
% New rule produced :
% [610]
% quotient(i(t(eta(A),B)),j(eta(A))) -> t(eta(A),quotient(i(B),j(eta(A))))
% Current number of equations to process: 446
% Current number of ordered equations: 1062
% Current number of rules: 241
% New rule produced :
% [611]
% quotient(j(eta(A)),j(t(eta(A),B))) -> t(eta(A),quotient(j(eta(A)),j(B)))
% Current number of equations to process: 446
% Current number of ordered equations: 1060
% Current number of rules: 242
% New rule produced :
% [612]
% quotient(j(eta(A)),i(t(eta(A),B))) -> t(eta(A),quotient(j(eta(A)),i(B)))
% Current number of equations to process: 446
% Current number of ordered equations: 1059
% Current number of rules: 243
% New rule produced :
% [613]
% difference(j(t(eta(A),B)),j(eta(A))) -> t(eta(A),difference(j(B),j(eta(A))))
% Current number of equations to process: 446
% Current number of ordered equations: 1058
% Current number of rules: 244
% New rule produced :
% [614]
% difference(i(t(eta(A),B)),j(eta(A))) -> t(eta(A),difference(i(B),j(eta(A))))
% Current number of equations to process: 446
% Current number of ordered equations: 1057
% Current number of rules: 245
% New rule produced :
% [615]
% difference(j(eta(A)),j(t(eta(A),B))) -> t(eta(A),difference(j(eta(A)),j(B)))
% Current number of equations to process: 445
% Current number of ordered equations: 1056
% Current number of rules: 246
% New rule produced :
% [616]
% difference(j(eta(A)),i(t(eta(A),B))) -> t(eta(A),difference(j(eta(A)),i(B)))
% Current number of equations to process: 445
% Current number of ordered equations: 1055
% Current number of rules: 247
% New rule produced :
% [617]
% t(eta(A),t(B,difference(eta(A),C))) <-> t(t(eta(A),B),quotient(C,eta(A)))
% Current number of equations to process: 445
% Current number of ordered equations: 1054
% Current number of rules: 248
% New rule produced :
% [618]
% t(t(eta(A),B),quotient(C,eta(A))) <-> t(eta(A),t(B,difference(eta(A),C)))
% Current number of equations to process: 447
% Current number of ordered equations: 1050
% Current number of rules: 249
% New rule produced :
% [619]
% t(eta(B),t(difference(eta(B),A),C)) -> t(quotient(A,eta(B)),t(eta(B),C))
% Current number of equations to process: 448
% Current number of ordered equations: 1048
% Current number of rules: 250
% New rule produced :
% [620] t(t(eta(A),B),j(t(eta(A),C))) -> t(eta(A),t(B,j(C)))
% Current number of equations to process: 448
% Current number of ordered equations: 1047
% Current number of rules: 251
% New rule produced :
% [621] t(j(t(eta(A),B)),t(eta(A),C)) -> t(eta(A),t(j(B),C))
% Current number of equations to process: 448
% Current number of ordered equations: 1046
% Current number of rules: 252
% New rule produced :
% [622] t(t(eta(A),B),i(t(eta(A),C))) -> t(eta(A),t(B,i(C)))
% Current number of equations to process: 448
% Current number of ordered equations: 1045
% Current number of rules: 253
% New rule produced :
% [623] t(i(t(eta(A),B)),t(eta(A),C)) -> t(eta(A),t(i(B),C))
% Current number of equations to process: 448
% Current number of ordered equations: 1044
% Current number of rules: 254
% New rule produced :
% [624] quotient(t(eta(A),B),i(A)) -> t(eta(A),quotient(B,j(j(j(A)))))
% Current number of equations to process: 446
% Current number of ordered equations: 1044
% Current number of rules: 255
% New rule produced :
% [625] difference(t(eta(A),B),i(A)) -> t(eta(A),difference(B,j(j(j(A)))))
% Current number of equations to process: 445
% Current number of ordered equations: 1044
% Current number of rules: 256
% New rule produced :
% [626] difference(i(i(A)),difference(i(A),quotient(quotient(B,A),j(A)))) -> B
% Current number of equations to process: 445
% Current number of ordered equations: 1043
% Current number of rules: 257
% New rule produced :
% [627] difference(i(A),quotient(quotient(difference(i(i(A)),B),A),j(A))) -> B
% Current number of equations to process: 445
% Current number of ordered equations: 1042
% Current number of rules: 258
% New rule produced :
% [628] quotient(quotient(eta(A),j(eta(A))),A) -> t(A,j(j(j(A))))
% Current number of equations to process: 444
% Current number of ordered equations: 1042
% Current number of rules: 259
% New rule produced :
% [629] quotient(quotient(eta(A),j(eta(A))),i(i(i(A)))) -> t(i(i(i(A))),A)
% Current number of equations to process: 443
% Current number of ordered equations: 1042
% Current number of rules: 260
% New rule produced : [630] t(j(eta(A)),i(i(A))) -> j(j(A))
% Current number of equations to process: 442
% Current number of ordered equations: 1042
% Current number of rules: 261
% New rule produced : [631] quotient(j(j(j(A))),j(eta(A))) -> t(j(eta(A)),j(A))
% Current number of equations to process: 441
% Current number of ordered equations: 1042
% Current number of rules: 262
% New rule produced :
% [632] quotient(eta(A),i(i(i(i(i(i(A))))))) -> i(i(i(i(i(i(i(A)))))))
% Current number of equations to process: 440
% Current number of ordered equations: 1041
% Current number of rules: 263
% New rule produced :
% [633]
% difference(t(j(A),B),quotient(quotient(difference(A,B),A),j(A))) -> j(A)
% Current number of equations to process: 440
% Current number of ordered equations: 1039
% Current number of rules: 264
% New rule produced :
% [634]
% quotient(quotient(quotient(A,quotient(B,A)),j(quotient(B,A))),B) ->
% j(quotient(B,A))
% Current number of equations to process: 440
% Current number of ordered equations: 1038
% Current number of rules: 265
% Rule [505] quotient(i(A),A) -> t(A,quotient(j(A),A)) is composed into
% [505] quotient(i(A),A) -> i(quotient(A,i(A)))
% New rule produced : [635] t(A,quotient(j(A),A)) -> i(quotient(A,i(A)))
% Rule [511] quotient(t(A,quotient(j(A),A)),j(A)) -> j(A) collapsed.
% Rule [558] t(eta(A),quotient(j(eta(A)),eta(A))) -> quotient(j(eta(A)),eta(A))
% collapsed.
% Current number of equations to process: 441
% Current number of ordered equations: 1038
% Current number of rules: 264
% New rule produced : [636] quotient(i(quotient(A,i(A))),j(A)) -> j(A)
% Current number of equations to process: 440
% Current number of ordered equations: 1038
% Current number of rules: 265
% Rule [516] difference(eta(A),j(eta(A))) -> quotient(j(eta(A)),eta(A)) is composed into
% [516] difference(eta(A),j(eta(A))) -> i(quotient(eta(A),j(eta(A))))
% New rule produced :
% [637] quotient(j(eta(A)),eta(A)) -> i(quotient(eta(A),j(eta(A))))
% Current number of equations to process: 439
% Current number of ordered equations: 1038
% Current number of rules: 266
% New rule produced :
% [638]
% quotient(quotient(quotient(quotient(j(A),A),A),j(A)),j(A)) -> j(j(j(A)))
% Current number of equations to process: 439
% Current number of ordered equations: 1037
% Current number of rules: 267
% New rule produced :
% [639] difference(j(j(j(j(j(A))))),quotient(j(A),A)) -> j(j(j(A)))
% Current number of equations to process: 438
% Current number of ordered equations: 1037
% Current number of rules: 268
% New rule produced :
% [640]
% t(eta(A),quotient(B,difference(eta(A),j(j(A))))) <-> quotient(t(eta(A),B),A)
% Current number of equations to process: 438
% Current number of ordered equations: 1036
% Current number of rules: 269
% New rule produced :
% [641]
% quotient(t(eta(A),B),A) <-> t(eta(A),quotient(B,difference(eta(A),j(j(A)))))
% Current number of equations to process: 438
% Current number of ordered equations: 1035
% Current number of rules: 270
% New rule produced :
% [642]
% difference(t(eta(A),B),A) ->
% t(eta(A),difference(B,difference(eta(A),j(j(A)))))
% Current number of equations to process: 438
% Current number of ordered equations: 1034
% Current number of rules: 271
% New rule produced :
% [643]
% quotient(difference(i(A),difference(A,quotient(t(i(A),B),A))),B) -> i(A)
% Current number of equations to process: 438
% Current number of ordered equations: 1033
% Current number of rules: 272
% New rule produced :
% [644] difference(A,difference(j(A),quotient(t(A,j(eta(A))),j(A)))) -> i(i(A))
% Current number of equations to process: 438
% Current number of ordered equations: 1031
% Current number of rules: 273
% New rule produced :
% [645] difference(t(i(i(i(i(A)))),eta(A)),i(i(A))) -> i(i(i(i(A))))
% Current number of equations to process: 438
% Current number of ordered equations: 1029
% Current number of rules: 274
% New rule produced :
% [646]
% quotient(quotient(quotient(difference(i(A),B),j(A)),j(j(A))),A) -> t(A,B)
% Current number of equations to process: 438
% Current number of ordered equations: 1027
% Current number of rules: 275
% New rule produced :
% [647]
% quotient(quotient(difference(eta(A),quotient(B,j(eta(A)))),eta(A)),B) ->
% j(eta(A))
% Current number of equations to process: 436
% Current number of ordered equations: 1027
% Current number of rules: 276
% New rule produced :
% [648] difference(i(i(i(i(i(i(i(A))))))),eta(A)) -> i(i(i(i(i(i(A))))))
% Current number of equations to process: 436
% Current number of ordered equations: 1026
% Current number of rules: 277
% New rule produced :
% [649]
% difference(i(i(i(i(A)))),quotient(B,eta(A))) ->
% t(eta(A),difference(A,difference(eta(A),B)))
% Current number of equations to process: 436
% Current number of ordered equations: 1025
% Current number of rules: 278
% New rule produced :
% [650]
% quotient(difference(j(A),quotient(A,j(A))),difference(j(A),j(j(A)))) -> A
% Current number of equations to process: 436
% Current number of ordered equations: 1024
% Current number of rules: 279
% New rule produced :
% [651]
% difference(i(A),difference(i(A),difference(A,quotient(t(i(A),B),A)))) -> B
% Current number of equations to process: 435
% Current number of ordered equations: 1023
% Current number of rules: 280
% New rule produced :
% [652]
% quotient(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),B) ->
% eta(A)
% Current number of equations to process: 433
% Current number of ordered equations: 1022
% Current number of rules: 281
% New rule produced :
% [653]
% quotient(quotient(difference(i(i(A)),i(A)),j(A)),j(j(A))) ->
% i(quotient(A,i(A)))
% Current number of equations to process: 432
% Current number of ordered equations: 1022
% Current number of rules: 282
% New rule produced :
% [654]
% 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: 432
% Current number of ordered equations: 1020
% Current number of rules: 283
% New rule produced :
% [655]
% quotient(quotient(difference(j(eta(A)),quotient(B,j(eta(A)))),eta(A)),B) ->
% eta(A)
% Current number of equations to process: 432
% Current number of ordered equations: 1018
% Current number of rules: 284
% New rule produced :
% [656]
% 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: 431
% Current number of ordered equations: 1017
% Current number of rules: 285
% New rule produced :
% [657]
% 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: 431
% Current number of ordered equations: 1016
% Current number of rules: 286
% New rule produced :
% [658]
% 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: 431
% Current number of ordered equations: 1015
% Current number of rules: 287
% New rule produced :
% [659]
% 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: 431
% Current number of ordered equations: 1014
% Current number of rules: 288
% New rule produced :
% [660]
% 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: 431
% Current number of ordered equations: 1013
% Current number of rules: 289
% New rule produced :
% [661]
% 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: 433
% Current number of ordered equations: 1010
% Current number of rules: 290
% New rule produced :
% [662]
% difference(i(A),difference(A,quotient(j(A),j(j(A))))) ->
% difference(j(j(A)),j(j(j(A))))
% Current number of equations to process: 433
% Current number of ordered equations: 1009
% Current number of rules: 291
% New rule produced :
% [663]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),A) ->
% quotient(difference(B,A),A)
% Current number of equations to process: 435
% Current number of ordered equations: 1005
% Current number of rules: 292
% New rule produced :
% [664]
% difference(t(A,B),difference(A,difference(j(A),quotient(t(A,B),j(A))))) -> A
% Current number of equations to process: 435
% Current number of ordered equations: 1001
% Current number of rules: 293
% New rule produced :
% [665]
% difference(A,difference(j(A),quotient(t(A,i(i(i(A)))),j(A)))) -> j(eta(A))
% Current number of equations to process: 435
% Current number of ordered equations: 999
% Current number of rules: 294
% New rule produced :
% [666]
% i(difference(i(B),difference(B,quotient(t(i(B),A),B)))) <->
% quotient(difference(A,eta(B)),i(B))
% Current number of equations to process: 435
% Current number of ordered equations: 998
% Current number of rules: 295
% New rule produced :
% [667]
% quotient(difference(A,eta(B)),i(B)) <->
% i(difference(i(B),difference(B,quotient(t(i(B),A),B))))
% Current number of equations to process: 435
% Current number of ordered equations: 997
% Current number of rules: 296
% New rule produced :
% [668]
% i(quotient(difference(j(eta(B)),quotient(A,j(eta(B)))),eta(B))) ->
% quotient(i(A),eta(B))
% Current number of equations to process: 435
% Current number of ordered equations: 996
% Current number of rules: 297
% New rule produced :
% [669]
% quotient(difference(i(A),quotient(quotient(B,A),j(A))),i(i(A))) ->
% t(i(i(A)),B)
% Current number of equations to process: 435
% Current number of ordered equations: 995
% Current number of rules: 298
% New rule produced :
% [670] difference(t(j(eta(A)),j(A)),j(j(j(A)))) -> j(eta(A))
% Current number of equations to process: 434
% Current number of ordered equations: 995
% Current number of rules: 299
% New rule produced :
% [671]
% t(eta(A),quotient(B,difference(eta(A),j(j(j(A)))))) <->
% quotient(t(eta(A),B),j(A))
% Current number of equations to process: 434
% Current number of ordered equations: 994
% Current number of rules: 300
% New rule produced :
% [672]
% quotient(t(eta(A),B),j(A)) <->
% t(eta(A),quotient(B,difference(eta(A),j(j(j(A))))))
% Current number of equations to process: 434
% Current number of ordered equations: 993
% Current number of rules: 301
% New rule produced :
% [673]
% difference(t(eta(A),B),j(A)) ->
% t(eta(A),difference(B,difference(eta(A),j(j(j(A))))))
% Current number of equations to process: 434
% Current number of ordered equations: 992
% Current number of rules: 302
% New rule produced :
% [674]
% difference(j(eta(A)),quotient(difference(eta(A),quotient(B,j(eta(A)))),
% eta(A))) -> B
% Current number of equations to process: 433
% Current number of ordered equations: 992
% Current number of rules: 303
% New rule produced :
% [675]
% difference(i(A),difference(A,quotient(j(B),j(j(A))))) <->
% quotient(quotient(difference(B,j(A)),B),j(B))
% Rule
% [662]
% difference(i(A),difference(A,quotient(j(A),j(j(A))))) ->
% difference(j(j(A)),j(j(j(A)))) collapsed.
% Current number of equations to process: 434
% Current number of ordered equations: 991
% Current number of rules: 303
% New rule produced :
% [676]
% difference(j(j(A)),j(j(j(A)))) ->
% quotient(quotient(difference(A,j(A)),A),j(A))
% Current number of equations to process: 438
% Current number of ordered equations: 986
% Current number of rules: 304
% New rule produced :
% [677]
% quotient(quotient(difference(B,j(A)),B),j(B)) <->
% difference(i(A),difference(A,quotient(j(B),j(j(A)))))
% Current number of equations to process: 438
% Current number of ordered equations: 985
% Current number of rules: 305
% New rule produced :
% [678]
% quotient(difference(eta(A),quotient(difference(j(eta(A)),B),j(eta(A)))),
% eta(A)) -> B
% Current number of equations to process: 437
% Current number of ordered equations: 985
% Current number of rules: 306
% New rule produced :
% [679] quotient(quotient(eta(A),j(eta(A))),j(j(j(A)))) -> A
% Current number of equations to process: 436
% Current number of ordered equations: 985
% Current number of rules: 307
% New rule produced :
% [680]
% quotient(difference(eta(A),difference(j(eta(A)),quotient(B,j(eta(A))))),
% eta(A)) -> B
% Current number of equations to process: 437
% Current number of ordered equations: 981
% Current number of rules: 308
% New rule produced :
% [681]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% i(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(B))))),
% j(A))))) ->
% quotient(quotient(eta(difference(A,difference(j(A),quotient(t(A,B),j(A))))),B),A)
% Current number of equations to process: 436
% Current number of ordered equations: 979
% Current number of rules: 309
% New rule produced :
% [682]
% difference(difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A)))),
% difference(A,difference(j(A),quotient(t(A,quotient(difference(j(eta(B)),
% quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% eta(A)),
% j(B)))),
% j(eta(B)))),eta(B))),
% j(A))))) -> eta(A)
% Current number of equations to process: 436
% Current number of ordered equations: 978
% Current number of rules: 310
% New rule produced :
% [683]
% difference(difference(A,difference(j(A),quotient(t(A,j(j(B))),j(A)))),
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(difference(
% j(B),eta(A)),
% j(B)),j(j(B)))),j(A)))))
% -> eta(A)
% Current number of equations to process: 436
% Current number of ordered equations: 977
% Current number of rules: 311
% New rule produced :
% [684]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% t(A,B),
% difference(
% j(t(A,B)),
% quotient(
% t(t(A,B),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,eta(
% t(A,B))),
% j(A))))),
% j(t(A,B))))))
% -> eta(t(A,B))
% Current number of equations to process: 436
% Current number of ordered equations: 976
% Current number of rules: 312
% New rule produced :
% [685]
% quotient(quotient(quotient(difference(j(A),difference(B,difference(j(B),
% quotient(t(B,j(A)),
% j(B))))),j(A)),
% j(j(A))),j(A)) <->
% difference(j(A),quotient(difference(j(eta(A)),quotient(B,j(eta(A)))),eta(A)))
% Current number of equations to process: 436
% Current number of ordered equations: 975
% Current number of rules: 313
% New rule produced :
% [686]
% difference(j(A),quotient(difference(j(eta(A)),quotient(B,j(eta(A)))),eta(A)))
% <->
% quotient(quotient(quotient(difference(j(A),difference(B,difference(j(B),
% quotient(t(B,j(A)),
% j(B))))),j(A)),
% j(j(A))),j(A))
% Current number of equations to process: 436
% Current number of ordered equations: 974
% Current number of rules: 314
% New rule produced :
% [687]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),eta(A)) ->
% quotient(i(B),A)
% Current number of equations to process: 436
% Current number of ordered equations: 973
% Current number of rules: 315
% New rule produced :
% [688]
% quotient(difference(eta(A),difference(B,difference(j(B),quotient(t(B,A),j(B))))),A)
% -> difference(eta(A),B)
% Current number of equations to process: 436
% Current number of ordered equations: 972
% Current number of rules: 316
% New rule produced :
% [689]
% quotient(difference(j(eta(A)),quotient(difference(B,difference(j(B),quotient(
% t(B,C),
% j(B)))),
% j(eta(A)))),eta(A)) <->
% t(eta(A),difference(B,difference(j(B),quotient(t(B,quotient(difference(C,
% difference(
% j(C),quotient(
% t(C,
% quotient(
% difference(
% j(eta(A)),
% quotient(B,
% j(eta(A)))),
% eta(A))),
% j(C)))),B)),
% j(B)))))
% Current number of equations to process: 437
% Current number of ordered equations: 970
% Current number of rules: 317
% New rule produced :
% [690]
% t(eta(A),difference(B,difference(j(B),quotient(t(B,quotient(difference(C,
% difference(
% j(C),quotient(
% t(C,
% quotient(
% difference(
% j(eta(A)),
% quotient(B,
% j(eta(A)))),
% eta(A))),
% j(C)))),B)),
% j(B))))) <->
% quotient(difference(j(eta(A)),quotient(difference(B,difference(j(B),quotient(
% t(B,C),
% j(B)))),
% j(eta(A)))),eta(A))
% Current number of equations to process: 437
% Current number of ordered equations: 969
% Current number of rules: 318
% New rule produced :
% [691]
% quotient(t(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),j(B))))),B)
% -> eta(A)
% Current number of equations to process: 437
% Current number of ordered equations: 968
% Current number of rules: 319
% New rule produced :
% [692]
% difference(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),
% difference(A,difference(j(A),quotient(t(A,t(eta(B),quotient(difference(
% j(eta(A)),
% quotient(
% eta(B),j(eta(A)))),
% eta(A)))),j(A))))) ->
% eta(A)
% Current number of equations to process: 437
% Current number of ordered equations: 967
% Current number of rules: 320
% New rule produced :
% [693]
% difference(A,difference(j(A),quotient(t(A,quotient(t(eta(B),difference(
% difference(C,
% difference(
% j(C),quotient(
% t(C,A),
% j(C)))),
% difference(
% j(difference(C,
% difference(
% j(C),quotient(
% t(C,A),
% j(C))))),
% quotient(
% t(difference(C,
% difference(
% j(C),quotient(
% t(C,A),
% j(C)))),
% eta(B)),j(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))))))),A)),
% j(A)))) <->
% difference(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A))))))))
% Current number of equations to process: 437
% Current number of ordered equations: 966
% Current number of rules: 321
% New rule produced :
% [694]
% difference(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))))))) <->
% difference(A,difference(j(A),quotient(t(A,quotient(t(eta(B),difference(
% difference(C,
% difference(
% j(C),quotient(
% t(C,A),
% j(C)))),
% difference(
% j(difference(C,
% difference(
% j(C),quotient(
% t(C,A),
% j(C))))),
% quotient(
% t(difference(C,
% difference(
% j(C),quotient(
% t(C,A),
% j(C)))),
% eta(B)),j(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))))))),A)),
% j(A))))
% Current number of equations to process: 437
% Current number of ordered equations: 965
% Current number of rules: 322
% Rule [694]
% difference(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))))))) <->
% difference(A,difference(j(A),quotient(t(A,quotient(t(eta(B),difference(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C)))),
% difference(
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% quotient(
% t(difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C)))),
% eta(B)),
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))))))),A)),
% j(A)))) is composed into [694]
% difference(
% difference(A,
% difference(
% j(A),quotient(
% t(A,eta(B)),
% j(A)))),
% difference(
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,
% eta(B)),
% j(A))))),
% quotient(t(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% eta(B)),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,
% eta(B)),
% j(A))))))))
% <->
% difference(A,
% difference(
% j(A),quotient(
% t(A,quotient(
% t(
% eta(B),
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% t(
% eta(B),
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% eta(B)),
% j(C)))))),
% j(A)))),C)),
% j(C))))),A)),
% j(A))))
% New rule produced :
% [695]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% eta(C)),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% ->
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,t(
% eta(C),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% eta(C)),
% j(A)))))),
% j(B)))),A)),
% j(A))))
% Rule
% [693]
% difference(A,difference(j(A),quotient(t(A,quotient(t(eta(B),difference(
% difference(C,
% difference(
% j(C),quotient(
% t(C,A),
% j(C)))),
% difference(
% j(difference(C,
% difference(
% j(C),quotient(
% t(C,A),
% j(C))))),
% quotient(
% t(difference(C,
% difference(
% j(C),quotient(
% t(C,A),
% j(C)))),
% eta(B)),j(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))))))),A)),
% j(A)))) <->
% difference(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))))))) collapsed.
% Current number of equations to process: 443
% Current number of ordered equations: 959
% Current number of rules: 322
% New rule produced :
% [696]
% difference(j(A),difference(j(j(A)),quotient(t(j(A),B),j(j(A))))) ->
% quotient(quotient(difference(A,B),A),j(A))
% Current number of equations to process: 485
% Current number of ordered equations: 914
% Current number of rules: 323
% New rule produced : [697] t(j(j(j(j(A)))),j(eta(A))) -> eta(A)
% Current number of equations to process: 484
% Current number of ordered equations: 914
% Current number of rules: 324
% New rule produced :
% [698]
% quotient(quotient(quotient(A,i(i(B))),j(B)),j(j(B))) ->
% quotient(quotient(quotient(A,B),j(B)),B)
% Current number of equations to process: 484
% Current number of ordered equations: 913
% Current number of rules: 325
% New rule produced :
% [699]
% difference(t(i(A),B),difference(A,quotient(quotient(B,j(A)),j(j(A))))) ->
% i(A)
% Current number of equations to process: 484
% Current number of ordered equations: 911
% Current number of rules: 326
% New rule produced :
% [700]
% quotient(quotient(C,eta(A)),t(eta(A),difference(B,difference(eta(A),C)))) ->
% t(eta(A),B)
% Current number of equations to process: 484
% Current number of ordered equations: 909
% Current number of rules: 327
% New rule produced :
% [701]
% difference(B,difference(j(B),quotient(t(B,i(A)),j(B)))) <->
% difference(i(A),difference(A,quotient(B,A)))
% Current number of equations to process: 483
% Current number of ordered equations: 908
% Current number of rules: 328
% New rule produced :
% [702]
% difference(i(A),difference(A,quotient(B,A))) <->
% difference(B,difference(j(B),quotient(t(B,i(A)),j(B))))
% Current number of equations to process: 483
% Current number of ordered equations: 907
% Current number of rules: 329
% New rule produced :
% [703]
% difference(eta(A),difference(j(eta(A)),quotient(i(i(i(A))),j(eta(A))))) ->
% i(A)
% Current number of equations to process: 483
% Current number of ordered equations: 904
% Current number of rules: 330
% Rule [667]
% quotient(difference(A,eta(B)),i(B)) <->
% i(difference(i(B),difference(B,quotient(t(i(B),A),B)))) is composed into
% [667]
% quotient(difference(A,eta(B)),i(B)) <->
% i(difference(B,quotient(quotient(A,j(B)),j(j(B)))))
% New rule produced :
% [704]
% difference(i(A),difference(A,quotient(t(i(A),B),A))) ->
% difference(A,quotient(quotient(B,j(A)),j(j(A))))
% Rule
% [643]
% quotient(difference(i(A),difference(A,quotient(t(i(A),B),A))),B) -> i(A)
% collapsed.
% Rule
% [651]
% difference(i(A),difference(i(A),difference(A,quotient(t(i(A),B),A)))) -> B
% collapsed.
% Rule
% [666]
% i(difference(i(B),difference(B,quotient(t(i(B),A),B)))) <->
% quotient(difference(A,eta(B)),i(B)) collapsed.
% Current number of equations to process: 501
% Current number of ordered equations: 883
% Current number of rules: 328
% New rule produced :
% [705]
% quotient(difference(i(A),difference(j(A),j(j(A)))),A) -> difference(i(A),A)
% Current number of equations to process: 499
% Current number of ordered equations: 883
% Current number of rules: 329
% New rule produced :
% [706]
% quotient(difference(difference(A,difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A)))),difference(j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A)))),B),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A)))))))),
% quotient(difference(eta(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% difference(B,difference(j(B),quotient(t(B,difference(A,difference(
% j(A),
% quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A))))),
% j(B))))),difference(A,difference(
% j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A)))))) ->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% quotient(
% difference(
% j(eta(A)),
% quotient(
% eta(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(eta(A)))),
% eta(A))),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% Current number of equations to process: 499
% Current number of ordered equations: 882
% Current number of rules: 330
% New rule produced :
% [707]
% t(eta(A),difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% quotient(eta(A),j(eta(A)))),j(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))))))))
% ->
% quotient(difference(j(eta(A)),quotient(difference(A,difference(j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A)))),
% j(eta(A)))),eta(A))
% Current number of equations to process: 498
% Current number of ordered equations: 882
% Current number of rules: 331
% New rule produced :
% [708]
% quotient(difference(quotient(quotient(difference(j(A),B),j(A)),j(j(A))),
% difference(j(quotient(quotient(difference(j(A),B),j(A)),j(j(A)))),
% quotient(t(quotient(quotient(difference(j(A),B),j(A)),j(j(A))),x2),
% j(quotient(quotient(difference(j(A),B),j(A)),j(j(A))))))),quotient(
% difference(
% eta(A),
% difference(x2,
% difference(
% j(x2),
% quotient(
% t(x2,
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(
% j(A)))),
% j(x2))))),
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(
% j(A)))))
% ->
% difference(A,difference(j(A),quotient(t(A,difference(j(eta(A)),quotient(B,
% j(eta(A))))),
% j(A))))
% Current number of equations to process: 498
% Current number of ordered equations: 881
% Current number of rules: 332
% New rule produced :
% [709]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% eta(B)),
% j(C))))),
% j(B))))),
% j(A)))),eta(B)) <->
% difference(eta(B),difference(quotient(difference(j(eta(B)),quotient(A,
% j(eta(B)))),
% eta(B)),difference(j(quotient(difference(
% j(eta(B)),
% quotient(A,
% j(eta(B)))),
% eta(B))),quotient(t(
% quotient(
% difference(
% j(
% eta(B)),
% quotient(A,
% j(
% eta(B)))),
% eta(B)),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(quotient(
% difference(
% j(eta(B)),
% quotient(A,
% j(eta(B)))),
% eta(B)))))))
% Current number of equations to process: 498
% Current number of ordered equations: 880
% Current number of rules: 333
% New rule produced :
% [710]
% difference(eta(B),difference(quotient(difference(j(eta(B)),quotient(A,
% j(eta(B)))),
% eta(B)),difference(j(quotient(difference(
% j(eta(B)),
% quotient(A,
% j(eta(B)))),
% eta(B))),quotient(t(
% quotient(
% difference(
% j(
% eta(B)),
% quotient(A,
% j(
% eta(B)))),
% eta(B)),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(quotient(
% difference(
% j(eta(B)),
% quotient(A,
% j(eta(B)))),
% eta(B))))))) <->
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% eta(B)),
% j(C))))),
% j(B))))),
% j(A)))),eta(B))
% Current number of equations to process: 498
% Current number of ordered equations: 879
% Current number of rules: 334
% New rule produced :
% [711]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),quotient(quotient(difference(C,
% difference(
% j(C),
% quotient(
% t(C,difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))),B),A))
% -> difference(A,difference(j(A),quotient(t(A,B),j(A))))
% Current number of equations to process: 498
% Current number of ordered equations: 877
% Current number of rules: 335
% New rule produced :
% [712]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,j(j(B))),j(A)))),
% eta(B)),B) -> A
% Current number of equations to process: 498
% Current number of ordered equations: 874
% Current number of rules: 336
% New rule produced :
% [713]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(A)))),B),t(B,C)) <->
% difference(difference(B,difference(j(B),quotient(t(B,C),j(B)))),difference(
% t(B,C),
% difference(
% j(t(B,C)),
% quotient(
% t(t(B,C),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,A),
% j(B))))),
% j(t(B,C))))))
% Current number of equations to process: 498
% Current number of ordered equations: 872
% Current number of rules: 337
% New rule produced :
% [714]
% difference(difference(B,difference(j(B),quotient(t(B,C),j(B)))),difference(
% t(B,C),
% difference(
% j(t(B,C)),
% quotient(
% t(t(B,C),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,A),
% j(B))))),
% j(t(B,C))))))
% <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(A)))),B),t(B,C))
% Rule
% [684]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% t(A,B),
% difference(
% j(t(A,B)),
% quotient(
% t(t(A,B),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,eta(
% t(A,B))),
% j(A))))),
% j(t(A,B))))))
% -> eta(t(A,B)) collapsed.
% Current number of equations to process: 499
% Current number of ordered equations: 870
% Current number of rules: 337
% New rule produced :
% [715]
% t(A,t(eta(difference(j(A),j(j(A)))),difference(A,difference(j(A),quotient(
% t(A,
% eta(
% difference(
% j(A),
% j(j(A))))),
% j(A)))))) ->
% difference(A,j(j(difference(j(A),j(j(A))))))
% Current number of equations to process: 499
% Current number of ordered equations: 869
% Current number of rules: 338
% New rule produced :
% [716]
% t(eta(A),quotient(quotient(difference(A,difference(B,difference(j(B),
% quotient(t(B,eta(A)),
% j(B))))),A),j(A))) <->
% quotient(difference(j(eta(A)),quotient(quotient(quotient(difference(A,B),A),
% j(A)),j(eta(A)))),eta(A))
% Current number of equations to process: 498
% Current number of ordered equations: 870
% Current number of rules: 339
% New rule produced :
% [717]
% quotient(difference(j(eta(A)),quotient(quotient(quotient(difference(A,B),A),
% j(A)),j(eta(A)))),eta(A)) <->
% t(eta(A),quotient(quotient(difference(A,difference(B,difference(j(B),
% quotient(t(B,eta(A)),
% j(B))))),A),j(A)))
% Current number of equations to process: 498
% Current number of ordered equations: 869
% Current number of rules: 340
% New rule produced :
% [718]
% difference(quotient(A,C),difference(j(quotient(A,C)),quotient(t(quotient(A,C),
% quotient(
% difference(C,
% difference(
% j(C),quotient(
% t(C,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% quotient(A,C)),
% j(B))))),
% j(C)))),
% quotient(A,C))),
% j(quotient(A,C))))) ->
% difference(A,difference(j(A),quotient(t(A,B),j(A))))
% Current number of equations to process: 498
% Current number of ordered equations: 868
% Current number of rules: 341
% New rule produced :
% [719]
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(quotient(
% difference(
% j(B),i(A)),
% j(B)),j(j(B)))),
% j(A)))),i(A)) <->
% difference(i(A),difference(eta(A),difference(j(eta(A)),quotient(j(j(t(
% eta(A),B))),
% j(eta(A))))))
% Current number of equations to process: 498
% Current number of ordered equations: 867
% Current number of rules: 342
% New rule produced :
% [720]
% difference(i(A),difference(eta(A),difference(j(eta(A)),quotient(j(j(t(
% eta(A),B))),
% j(eta(A)))))) <->
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(quotient(
% difference(
% j(B),i(A)),
% j(B)),j(j(B)))),
% j(A)))),i(A))
% Current number of equations to process: 498
% Current number of ordered equations: 866
% Current number of rules: 343
% New rule produced :
% [721]
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(difference(
% j(eta(B)),
% quotient(
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% i(A)),
% j(B)))),
% j(eta(B)))),
% eta(B))),j(A)))),i(A)) <->
% difference(i(A),difference(eta(A),difference(j(eta(A)),quotient(i(i(t(
% eta(A),B))),
% j(eta(A))))))
% Current number of equations to process: 498
% Current number of ordered equations: 865
% Current number of rules: 344
% New rule produced :
% [722]
% difference(i(A),difference(eta(A),difference(j(eta(A)),quotient(i(i(t(
% eta(A),B))),
% j(eta(A)))))) <->
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(difference(
% j(eta(B)),
% quotient(
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% i(A)),
% j(B)))),
% j(eta(B)))),
% eta(B))),j(A)))),i(A))
% Current number of equations to process: 498
% Current number of ordered equations: 864
% Current number of rules: 345
% New rule produced :
% [723]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),j(j(A))) ->
% quotient(difference(B,i(i(A))),A)
% Current number of equations to process: 498
% Current number of ordered equations: 863
% Current number of rules: 346
% New rule produced :
% [724]
% t(eta(A),difference(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))),
% difference(j(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B))))),
% quotient(t(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))),C),
% j(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B))))))))) ->
% quotient(quotient(difference(j(eta(A)),quotient(difference(B,difference(
% j(B),quotient(
% t(B,
% quotient(
% difference(
% j(eta(A)),
% quotient(C,
% j(eta(A)))),
% eta(A))),
% j(B)))),
% j(eta(A)))),eta(A)),eta(A))
% Current number of equations to process: 498
% Current number of ordered equations: 862
% Current number of rules: 347
% New rule produced :
% [725]
% difference(eta(A),difference(t(eta(A),difference(B,difference(j(B),quotient(
% t(B,
% eta(A)),
% j(B))))),
% difference(j(t(eta(A),difference(B,difference(j(B),
% quotient(t(B,eta(A)),
% j(B)))))),quotient(
% t(t(eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),C),
% j(t(eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))))))))
% <->
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,eta(A)),
% j(C))))),
% j(B)))),eta(A))
% Current number of equations to process: 498
% Current number of ordered equations: 861
% Current number of rules: 348
% New rule produced :
% [726]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,eta(A)),
% j(C))))),
% j(B)))),eta(A)) <->
% difference(eta(A),difference(t(eta(A),difference(B,difference(j(B),quotient(
% t(B,
% eta(A)),
% j(B))))),
% difference(j(t(eta(A),difference(B,difference(j(B),
% quotient(t(B,eta(A)),
% j(B)))))),quotient(
% t(t(eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),C),
% j(t(eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))))))))
% Current number of equations to process: 498
% Current number of ordered equations: 860
% Current number of rules: 349
% New rule produced :
% [727]
% quotient(quotient(difference(j(eta(A)),quotient(difference(B,difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% eta(A)),
% j(C))))),
% j(B)))),
% j(eta(A)))),eta(A)),eta(A)) <->
% difference(t(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),j(B))))),
% difference(j(t(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))))),
% quotient(t(t(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),j(B))))),C),
% j(t(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))))))))
% Current number of equations to process: 498
% Current number of ordered equations: 859
% Current number of rules: 350
% New rule produced :
% [728]
% difference(t(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),j(B))))),
% difference(j(t(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))))),
% quotient(t(t(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),j(B))))),C),
% j(t(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),j(B))))))))) <->
% quotient(quotient(difference(j(eta(A)),quotient(difference(B,difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% eta(A)),
% j(C))))),
% j(B)))),
% j(eta(A)))),eta(A)),eta(A))
% Current number of equations to process: 498
% Current number of ordered equations: 858
% Current number of rules: 351
% New rule produced :
% [729]
% quotient(difference(B,difference(C,difference(j(C),quotient(t(C,eta(A)),j(C))))),
% eta(A)) <->
% t(eta(A),difference(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))),
% difference(eta(A),difference(j(eta(A)),quotient(C,j(eta(A)))))))
% Current number of equations to process: 498
% Current number of ordered equations: 857
% Current number of rules: 352
% New rule produced :
% [730]
% t(eta(A),difference(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))),
% difference(eta(A),difference(j(eta(A)),quotient(C,j(eta(A))))))) <->
% quotient(difference(B,difference(C,difference(j(C),quotient(t(C,eta(A)),j(C))))),
% eta(A))
% Current number of equations to process: 499
% Current number of ordered equations: 854
% Current number of rules: 353
% New rule produced :
% [731]
% difference(quotient(difference(j(eta(A)),quotient(B,j(eta(A)))),eta(A)),
% t(eta(A),difference(C,difference(j(C),quotient(t(C,eta(A)),j(C)))))) ->
% quotient(difference(B,difference(C,difference(j(C),quotient(t(C,eta(A)),j(C))))),
% eta(A))
% Current number of equations to process: 499
% Current number of ordered equations: 852
% Current number of rules: 354
% New rule produced :
% [732]
% quotient(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(C,difference(j(C),quotient(t(C,j(A)),j(C))))),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))),j(A)) ->
% difference(j(A),difference(quotient(quotient(B,A),j(A)),difference(j(
% quotient(
% quotient(B,A),
% j(A))),
% quotient(t(quotient(
% quotient(B,A),
% j(A)),C),
% j(quotient(quotient(B,A),
% j(A)))))))
% Current number of equations to process: 499
% Current number of ordered equations: 851
% Current number of rules: 355
% New rule produced :
% [733]
% difference(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A))))) ->
% difference(A,difference(j(A),quotient(t(A,B),j(A))))
% Current number of equations to process: 499
% Current number of ordered equations: 850
% Current number of rules: 356
% New rule produced :
% [734]
% quotient(quotient(quotient(difference(A,B),A),j(A)),t(j(A),B)) ->
% t(t(j(A),B),j(A))
% Current number of equations to process: 499
% Current number of ordered equations: 848
% Current number of rules: 357
% New rule produced :
% [735]
% i(difference(B,difference(j(B),quotient(t(B,quotient(eta(B),A)),j(B))))) ->
% quotient(A,B)
% Current number of equations to process: 499
% Current number of ordered equations: 847
% Current number of rules: 358
% New rule produced :
% [736]
% quotient(difference(j(A),quotient(j(j(A)),j(j(j(A))))),quotient(A,j(A))) -> A
% Current number of equations to process: 499
% Current number of ordered equations: 846
% Current number of rules: 359
% New rule produced :
% [737]
% quotient(difference(A,quotient(j(A),j(j(A)))),i(A)) ->
% t(i(A),quotient(quotient(difference(A,j(A)),A),j(A)))
% Current number of equations to process: 498
% Current number of ordered equations: 846
% Current number of rules: 360
% New rule produced :
% [738]
% quotient(quotient(quotient(difference(A,i(i(B))),A),j(A)),B) ->
% quotient(quotient(difference(A,eta(B)),A),j(A))
% Rule
% [346]
% quotient(quotient(quotient(difference(j(A),i(i(B))),j(A)),j(j(A))),B) ->
% quotient(quotient(difference(j(A),eta(B)),j(A)),j(j(A))) collapsed.
% Current number of equations to process: 498
% Current number of ordered equations: 834
% Current number of rules: 360
% New rule produced :
% [739]
% 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: 498
% Current number of ordered equations: 833
% Current number of rules: 361
% New rule produced :
% [740]
% 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: 498
% Current number of ordered equations: 832
% Current number of rules: 362
% New rule produced :
% [741]
% 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: 498
% Current number of ordered equations: 830
% Current number of rules: 363
% New rule produced :
% [742]
% difference(B,quotient(quotient(j(A),j(B)),j(j(B)))) <->
% difference(i(A),difference(A,quotient(i(B),j(j(A)))))
% Current number of equations to process: 498
% Current number of ordered equations: 829
% Current number of rules: 364
% New rule produced :
% [743]
% difference(i(A),difference(A,quotient(i(B),j(j(A))))) <->
% difference(B,quotient(quotient(j(A),j(B)),j(j(B))))
% Current number of equations to process: 498
% Current number of ordered equations: 828
% Current number of rules: 365
% New rule produced :
% [744] quotient(quotient(A,i(A)),j(j(j(j(A))))) -> j(j(j(j(j(j(A))))))
% Current number of equations to process: 497
% Current number of ordered equations: 828
% Current number of rules: 366
% New rule produced :
% [745]
% quotient(difference(eta(A),quotient(B,j(eta(A)))),eta(A)) ->
% quotient(quotient(difference(eta(A),B),eta(A)),j(eta(A)))
% Rule
% [647]
% quotient(quotient(difference(eta(A),quotient(B,j(eta(A)))),eta(A)),B) ->
% j(eta(A)) collapsed.
% Rule
% [674]
% difference(j(eta(A)),quotient(difference(eta(A),quotient(B,j(eta(A)))),
% eta(A))) -> B collapsed.
% Rule
% [678]
% quotient(difference(eta(A),quotient(difference(j(eta(A)),B),j(eta(A)))),
% eta(A)) -> B collapsed.
% Current number of equations to process: 497
% Current number of ordered equations: 828
% Current number of rules: 364
% New rule produced :
% [746]
% quotient(quotient(difference(eta(A),difference(j(eta(A)),B)),eta(A)),
% j(eta(A))) -> B
% Current number of equations to process: 496
% Current number of ordered equations: 828
% Current number of rules: 365
% New rule produced :
% [747] difference(j(eta(A)),difference(eta(A),j(j(A)))) -> j(j(A))
% Current number of equations to process: 495
% Current number of ordered equations: 828
% Current number of rules: 366
% New rule produced : [748] difference(i(i(A)),difference(i(A),j(j(A)))) -> A
% Current number of equations to process: 494
% Current number of ordered equations: 828
% Current number of rules: 367
% Rule [628] quotient(quotient(eta(A),j(eta(A))),A) -> t(A,j(j(j(A)))) is composed into
% [628] quotient(quotient(eta(A),j(eta(A))),A) -> i(i(i(A)))
% New rule produced : [749] t(A,j(j(j(A)))) -> i(i(i(A)))
% Current number of equations to process: 492
% Current number of ordered equations: 828
% Current number of rules: 368
% New rule produced :
% [750]
% difference(A,difference(j(A),quotient(t(A,difference(i(i(A)),B)),j(A)))) ->
% difference(eta(A),B)
% Current number of equations to process: 492
% Current number of ordered equations: 827
% Current number of rules: 369
% New rule produced :
% [751]
% difference(j(j(A)),difference(A,difference(j(A),quotient(t(A,B),j(A))))) ->
% difference(eta(A),B)
% Current number of equations to process: 492
% Current number of ordered equations: 826
% Current number of rules: 370
% New rule produced :
% [752]
% difference(A,difference(j(A),quotient(t(A,t(eta(A),B)),j(A)))) ->
% quotient(quotient(quotient(difference(j(A),B),j(A)),j(j(A))),eta(A))
% Current number of equations to process: 500
% Current number of ordered equations: 816
% Current number of rules: 371
% New rule produced :
% [753]
% quotient(quotient(quotient(difference(j(A),difference(B,difference(j(B),
% quotient(t(B,i(A)),
% j(B))))),j(A)),
% j(j(A))),i(A)) <->
% difference(i(A),difference(quotient(eta(A),j(eta(A))),difference(j(quotient(
% eta(A),
% j(
% eta(A)))),
% quotient(t(quotient(
% eta(A),
% j(eta(A))),B),
% j(quotient(eta(A),
% j(eta(A))))))))
% Current number of equations to process: 498
% Current number of ordered equations: 817
% Current number of rules: 372
% New rule produced :
% [754]
% difference(i(A),difference(quotient(eta(A),j(eta(A))),difference(j(quotient(
% eta(A),
% j(
% eta(A)))),
% quotient(t(quotient(
% eta(A),
% j(eta(A))),B),
% j(quotient(eta(A),
% j(eta(A)))))))) <->
% quotient(quotient(quotient(difference(j(A),difference(B,difference(j(B),
% quotient(t(B,i(A)),
% j(B))))),j(A)),
% j(j(A))),i(A))
% Current number of equations to process: 498
% Current number of ordered equations: 816
% Current number of rules: 373
% New rule produced :
% [755]
% difference(quotient(difference(j(eta(A)),quotient(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),eta(A)),quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A)))),
% j(eta(A)))),
% eta(A))) ->
% eta(A)
% Current number of equations to process: 498
% Current number of ordered equations: 815
% Current number of rules: 374
% New rule produced :
% [756]
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(eta(A),j(eta(A)))),
% j(A)))),j(A)) ->
% difference(j(A),i(i(A)))
% Current number of equations to process: 497
% Current number of ordered equations: 815
% Current number of rules: 375
% New rule produced :
% [757]
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,t(
% eta(C),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% eta(C)),
% j(A)))))),
% j(B)))),A)),
% j(A)))) <->
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% quotient(
% difference(
% j(eta(C)),
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C)))),
% j(eta(C)))),
% eta(C))),
% j(B)))),A)),
% j(A)))),C)
% Current number of equations to process: 495
% Current number of ordered equations: 816
% Current number of rules: 376
% New rule produced :
% [758]
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% quotient(
% difference(
% j(eta(C)),
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C)))),
% j(eta(C)))),
% eta(C))),
% j(B)))),A)),
% j(A)))),C) <->
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,t(
% eta(C),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% eta(C)),
% j(A)))))),
% j(B)))),A)),
% j(A))))
% Current number of equations to process: 495
% Current number of ordered equations: 815
% Current number of rules: 377
% New rule produced :
% [759]
% quotient(difference(A,difference(j(A),quotient(t(A,B),j(A)))),j(j(A))) ->
% t(j(j(A)),difference(eta(A),B))
% Current number of equations to process: 495
% Current number of ordered equations: 814
% Current number of rules: 378
% New rule produced :
% [760]
% t(eta(A),quotient(quotient(difference(j(eta(B)),quotient(difference(B,
% difference(j(B),
% quotient(t(B,C),
% j(B)))),j(eta(B)))),
% eta(B)),C)) -> i(i(t(eta(A),B)))
% Current number of equations to process: 495
% Current number of ordered equations: 813
% Current number of rules: 379
% New rule produced :
% [761]
% quotient(quotient(difference(A,quotient(difference(j(eta(A)),quotient(
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),j(j(A))),
% j(eta(A)))),
% eta(A))),A),j(A)) ->
% quotient(quotient(B,A),j(A))
% Current number of equations to process: 494
% Current number of ordered equations: 813
% Current number of rules: 380
% New rule produced :
% [762]
% quotient(i(A),t(i(i(i(A))),eta(A))) -> t(t(i(i(i(A))),eta(A)),i(i(i(A))))
% Current number of equations to process: 493
% Current number of ordered equations: 812
% Current number of rules: 381
% New rule produced :
% [763]
% quotient(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),eta(A))
% -> t(eta(A),B)
% Current number of equations to process: 493
% Current number of ordered equations: 811
% Current number of rules: 382
% New rule produced :
% [764] quotient(difference(A,quotient(j(eta(A)),j(j(A)))),j(j(j(A)))) -> i(A)
% Current number of equations to process: 492
% Current number of ordered equations: 811
% Current number of rules: 383
% New rule produced :
% [765]
% difference(i(A),difference(A,quotient(t(j(A),B),j(j(A))))) ->
% quotient(quotient(difference(A,B),A),j(A))
% Current number of equations to process: 492
% Current number of ordered equations: 810
% Current number of rules: 384
% New rule produced :
% [766]
% quotient(quotient(difference(i(difference(eta(A),B)),B),difference(eta(A),B)),
% eta(A)) -> difference(eta(A),B)
% Current number of equations to process: 492
% Current number of ordered equations: 808
% Current number of rules: 385
% New rule produced :
% [767]
% difference(B,difference(j(B),quotient(t(B,j(A)),j(B)))) <->
% difference(i(A),difference(A,quotient(B,j(j(A)))))
% Current number of equations to process: 492
% Current number of ordered equations: 806
% Current number of rules: 386
% New rule produced :
% [768]
% difference(i(A),difference(A,quotient(B,j(j(A))))) <->
% difference(B,difference(j(B),quotient(t(B,j(A)),j(B))))
% Current number of equations to process: 492
% Current number of ordered equations: 805
% Current number of rules: 387
% Rule [728]
% difference(t(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),
% j(B))))),difference(
% j(t(eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B)))))),
% quotient(
% t(t(eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),C),
% j(t(eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B)))))))))
% <->
% quotient(quotient(difference(j(eta(A)),quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% eta(A)),
% j(C))))),
% j(B)))),
% j(eta(A)))),eta(A)),eta(A)) is composed into
% [728]
% difference(t(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),j(B))))),
% difference(j(t(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))))),
% quotient(t(t(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),j(B))))),C),
% j(t(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),j(B))))))))) <->
% t(eta(A),difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,eta(A)),
% j(C))))),
% j(B)))))
% Rule [724]
% t(eta(A),difference(difference(B,difference(j(B),quotient(t(B,eta(A)),
% j(B)))),difference(
% j(difference(B,
% difference(
% j(B),
% quotient(
% t(B,eta(A)),
% j(B))))),
% quotient(
% t(difference(B,
% difference(
% j(B),
% quotient(
% t(B,eta(A)),
% j(B)))),C),
% j(difference(B,
% difference(
% j(B),
% quotient(
% t(B,eta(A)),
% j(B)))))))))
% ->
% quotient(quotient(difference(j(eta(A)),quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,
% quotient(
% difference(
% j(eta(A)),
% quotient(C,
% j(eta(A)))),
% eta(A))),
% j(B)))),
% j(eta(A)))),eta(A)),eta(A)) is composed into
% [724]
% t(eta(A),difference(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))),
% difference(j(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B))))),
% quotient(t(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))),C),
% j(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B))))))))) ->
% t(eta(A),difference(B,difference(j(B),quotient(t(B,quotient(difference(
% j(eta(A)),
% quotient(C,
% j(eta(A)))),
% eta(A))),j(B)))))
% New rule produced :
% [769]
% quotient(quotient(difference(j(eta(A)),quotient(B,j(eta(A)))),eta(A)),eta(A))
% -> t(eta(A),B)
% Rule
% [727]
% quotient(quotient(difference(j(eta(A)),quotient(difference(B,difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% eta(A)),
% j(C))))),
% j(B)))),
% j(eta(A)))),eta(A)),eta(A)) <->
% difference(t(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),j(B))))),
% difference(j(t(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))))),
% quotient(t(t(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),j(B))))),C),
% j(t(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))))))))
% collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% quotient(difference(j(eta(x0)),quotient(quotient(difference(i(x1),quotient(
% difference(
% j(x2),
% j(j(x2))),
% quotient(
% difference(x1,
% difference(
% j(x2),
% j(j(x2)))),x2))),x1),
% j(eta(x0)))),eta(x0)) = t(eta(x0),difference(x1,
% difference(
% j(x1),
% quotient(
% t(x1,
% quotient(
% difference(
% j(x2),
% j(j(x2))),
% quotient(
% difference(
% eta(x0),
% difference(
% j(x2),
% j(j(x2)))),x2))),
% j(x1)))))
%
% Current number of equations to process: 496
% Current number of ordered equations: 801
% Current number of rules: 387
% Rule [705]
% quotient(difference(i(A),difference(j(A),j(j(A)))),A) ->
% difference(i(A),A) is composed into [705]
% quotient(difference(i(A),difference(
% j(A),
% j(j(A)))),A)
% -> difference(j(A),j(j(A)))
% New rule produced : [770] difference(i(A),A) -> difference(j(A),j(j(A)))
% Rule [238] quotient(difference(i(A),A),A) -> A collapsed.
% Rule [493] difference(A,difference(i(A),A)) -> A collapsed.
% Rule
% [653]
% quotient(quotient(difference(i(i(A)),i(A)),j(A)),j(j(A))) ->
% i(quotient(A,i(A))) collapsed.
% Current number of equations to process: 496
% Current number of ordered equations: 800
% Current number of rules: 385
% New rule produced :
% [771]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,i(i(A))),
% j(C))))),
% j(B)))),i(i(A))) <->
% difference(i(i(A)),difference(quotient(difference(j(eta(A)),quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A)),difference(j(quotient(difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A))),quotient(
% t(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A)),C),
% j(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A)))))))
% Current number of equations to process: 496
% Current number of ordered equations: 799
% Current number of rules: 386
% New rule produced :
% [772]
% difference(i(i(A)),difference(quotient(difference(j(eta(A)),quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A)),difference(j(quotient(difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A))),quotient(
% t(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A)),C),
% j(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A)))))))
% <->
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,i(i(A))),
% j(C))))),
% j(B)))),i(i(A)))
% Current number of equations to process: 496
% Current number of ordered equations: 798
% Current number of rules: 387
% New rule produced :
% [773]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,j(j(A))),
% j(C))))),
% j(B)))),j(j(A))) <->
% difference(j(j(A)),difference(quotient(quotient(difference(j(A),B),j(A)),
% j(j(A))),difference(j(quotient(quotient(
% difference(
% j(A),B),
% j(A)),j(j(A)))),
% quotient(t(quotient(quotient(difference(
% j(A),B),
% j(A)),j(j(A))),C),
% j(quotient(quotient(difference(j(A),B),
% j(A)),j(j(A))))))))
% Current number of equations to process: 496
% Current number of ordered equations: 797
% Current number of rules: 388
% New rule produced :
% [774]
% difference(j(j(A)),difference(quotient(quotient(difference(j(A),B),j(A)),
% j(j(A))),difference(j(quotient(quotient(
% difference(
% j(A),B),
% j(A)),j(j(A)))),
% quotient(t(quotient(quotient(difference(
% j(A),B),
% j(A)),j(j(A))),C),
% j(quotient(quotient(difference(j(A),B),
% j(A)),j(j(A)))))))) <->
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,j(j(A))),
% j(C))))),
% j(B)))),j(j(A)))
% Current number of equations to process: 496
% Current number of ordered equations: 796
% Current number of rules: 389
% New rule produced :
% [775]
% difference(difference(B,difference(j(B),quotient(t(B,C),j(B)))),difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% i(
% i(A))),
% j(C))))),
% j(B))))) <->
% quotient(quotient(quotient(difference(j(eta(A)),quotient(difference(A,
% difference(j(A),
% quotient(t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),j(eta(A)))),
% eta(A)),C),B)
% Current number of equations to process: 496
% Current number of ordered equations: 795
% Current number of rules: 390
% New rule produced :
% [776]
% quotient(quotient(quotient(difference(j(eta(A)),quotient(difference(A,
% difference(j(A),
% quotient(t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),j(eta(A)))),
% eta(A)),C),B) <->
% difference(difference(B,difference(j(B),quotient(t(B,C),j(B)))),difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% i(
% i(A))),
% j(C))))),
% j(B)))))
% Current number of equations to process: 496
% Current number of ordered equations: 794
% Current number of rules: 391
% New rule produced :
% [777]
% difference(difference(B,difference(j(B),quotient(t(B,C),j(B)))),difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% j(
% j(A))),
% j(C))))),
% j(B))))) <->
% quotient(quotient(quotient(quotient(difference(j(A),difference(B,difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)),j(j(A))),C),B)
% Current number of equations to process: 496
% Current number of ordered equations: 793
% Current number of rules: 392
% New rule produced :
% [778]
% quotient(quotient(quotient(quotient(difference(j(A),difference(B,difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)),j(j(A))),C),B) <->
% difference(difference(B,difference(j(B),quotient(t(B,C),j(B)))),difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% j(
% j(A))),
% j(C))))),
% j(B)))))
% Current number of equations to process: 496
% Current number of ordered equations: 792
% Current number of rules: 393
% New rule produced :
% [779]
% difference(difference(A,difference(j(A),quotient(t(A,quotient(B,C)),j(A)))),
% difference(A,difference(j(A),quotient(t(A,B),j(A))))) ->
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),quotient(
% t(A,
% quotient(B,C)),
% j(A))))),
% j(C)))),quotient(B,C)),A)
% Current number of equations to process: 496
% Current number of ordered equations: 791
% Current number of rules: 394
% New rule produced :
% [780]
% difference(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),quotient(difference(C,
% difference(
% j(C),quotient(
% t(C,difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))),B)) ->
% A
% Current number of equations to process: 496
% Current number of ordered equations: 788
% Current number of rules: 395
% New rule produced :
% [781]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A))))) <->
% t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),quotient(quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))),B),A))
% Current number of equations to process: 496
% Current number of ordered equations: 785
% Current number of rules: 396
% New rule produced :
% [782]
% t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),quotient(quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))),B),A))
% <->
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))))
% Current number of equations to process: 496
% Current number of ordered equations: 782
% Current number of rules: 397
% New rule produced :
% [783]
% quotient(difference(A,difference(j(A),quotient(t(A,B),j(A)))),t(A,B)) ->
% t(t(A,B),A)
% Current number of equations to process: 496
% Current number of ordered equations: 779
% Current number of rules: 398
% New rule produced :
% [784]
% quotient(quotient(difference(difference(A,difference(j(A),quotient(t(A,B),
% j(A)))),difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))),B),A)
% ->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% t(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C)),
% j(B))))),
% j(A)))))
% Current number of equations to process: 496
% Current number of ordered equations: 778
% Current number of rules: 399
% New rule produced :
% [785]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),difference(C,difference(
% difference(C,
% difference(
% j(C),quotient(
% t(C,A),
% j(C)))),
% difference(
% j(difference(C,
% difference(
% j(C),quotient(
% t(C,A),
% j(C))))),
% quotient(t(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C)))),B),
% j(difference(C,
% difference(
% j(C),quotient(
% t(C,A),
% j(C))))))))))
% ->
% t(quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),C),C)
% Current number of equations to process: 496
% Current number of ordered equations: 776
% Current number of rules: 400
% New rule produced :
% [786]
% quotient(quotient(difference(j(eta(A)),quotient(B,j(eta(A)))),eta(A)),
% difference(A,B)) -> i(i(A))
% Current number of equations to process: 496
% Current number of ordered equations: 775
% Current number of rules: 401
% New rule produced :
% [787] quotient(quotient(eta(A),j(eta(A))),j(A)) -> i(i(A))
% Current number of equations to process: 495
% Current number of ordered equations: 775
% Current number of rules: 402
% New rule produced :
% [788]
% quotient(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% eta(A),B)) ->
% j(j(A))
% Current number of equations to process: 495
% Current number of ordered equations: 774
% Current number of rules: 403
% New rule produced :
% [789]
% difference(i(i(A)),quotient(difference(j(eta(A)),quotient(B,j(eta(A)))),
% eta(A))) -> difference(A,B)
% Current number of equations to process: 495
% Current number of ordered equations: 772
% Current number of rules: 404
% New rule produced :
% [790]
% t(eta(quotient(A,B)),difference(j(j(quotient(A,B))),difference(A,difference(
% j(A),
% quotient(
% t(A,
% eta(
% quotient(A,B))),
% j(A)))))) ->
% B
% Current number of equations to process: 494
% Current number of ordered equations: 772
% Current number of rules: 405
% New rule produced :
% [791]
% quotient(difference(j(eta(A)),quotient(difference(j(j(A)),B),j(eta(A)))),
% eta(A)) -> difference(A,B)
% Current number of equations to process: 494
% Current number of ordered equations: 771
% Current number of rules: 406
% New rule produced :
% [792]
% quotient(quotient(quotient(difference(j(A),difference(j(eta(A)),quotient(
% difference(
% j(j(j(j(A)))),B),
% j(eta(A))))),
% j(A)),j(j(A))),eta(A)) -> B
% Current number of equations to process: 493
% Current number of ordered equations: 771
% Current number of rules: 407
% New rule produced :
% [793] difference(i(A),quotient(eta(A),j(eta(A)))) -> j(j(A))
% Current number of equations to process: 492
% Current number of ordered equations: 771
% Current number of rules: 408
% New rule produced :
% [794]
% quotient(difference(quotient(difference(B,difference(j(B),quotient(t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A),
% difference(j(quotient(difference(B,difference(j(B),quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% quotient(t(quotient(difference(B,difference(j(B),quotient(t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A),
% difference(V_3,difference(j(V_3),quotient(t(V_3,A),j(V_3))))),
% j(quotient(difference(B,difference(j(B),quotient(t(B,difference(C,
% difference(
% j(C),quotient(
% t(C,A),
% j(C))))),
% j(B)))),A))))),A) <->
% difference(A,difference(difference(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))),
% difference(j(difference(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),
% j(A))))))))),
% quotient(t(difference(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))),V_3),
% j(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),
% j(A))))),quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))))))))
% Current number of equations to process: 492
% Current number of ordered equations: 770
% Current number of rules: 409
% New rule produced :
% [795]
% difference(A,difference(difference(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))),
% difference(j(difference(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),
% j(A))))))))),
% quotient(t(difference(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))),V_3),
% j(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),
% j(A))))),quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))))))))
% <->
% quotient(difference(quotient(difference(B,difference(j(B),quotient(t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A),
% difference(j(quotient(difference(B,difference(j(B),quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% quotient(t(quotient(difference(B,difference(j(B),quotient(t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A),
% difference(V_3,difference(j(V_3),quotient(t(V_3,A),j(V_3))))),
% j(quotient(difference(B,difference(j(B),quotient(t(B,difference(C,
% difference(
% j(C),quotient(
% t(C,A),
% j(C))))),
% j(B)))),A))))),A)
% Current number of equations to process: 492
% Current number of ordered equations: 769
% Current number of rules: 410
% New rule produced :
% [796]
% quotient(quotient(difference(j(eta(A)),quotient(difference(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))))))),
% j(eta(A)))),eta(A)),quotient(difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A))
% -> i(i(A))
% Current number of equations to process: 492
% Current number of ordered equations: 768
% Current number of rules: 411
% New rule produced :
% [797]
% difference(V_3,difference(difference(V_3,difference(j(V_3),quotient(t(V_3,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(V_3)))),
% difference(j(difference(V_3,difference(j(V_3),quotient(
% t(V_3,difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(V_3))))),
% quotient(t(difference(V_3,difference(j(V_3),quotient(t(V_3,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(V_3)))),C),
% j(difference(V_3,difference(j(V_3),quotient(t(V_3,difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(V_3))))))))) <->
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C)))),
% difference(
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C))))),
% quotient(
% t(difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C)))),A),
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C))))))))),
% j(B)))),A)),
% j(A)))),V_3)
% Current number of equations to process: 492
% Current number of ordered equations: 767
% Current number of rules: 412
% New rule produced :
% [798]
% difference(V_3,difference(difference(V_3,difference(j(V_3),quotient(t(V_3,A),
% j(V_3)))),
% difference(j(difference(V_3,difference(j(V_3),quotient(
% t(V_3,A),
% j(V_3))))),
% quotient(t(difference(V_3,difference(j(V_3),quotient(t(V_3,A),
% j(V_3)))),
% difference(B,difference(j(B),quotient(t(B,C),j(B))))),
% j(difference(V_3,difference(j(V_3),quotient(t(V_3,A),j(V_3)))))))))
% <->
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B)),
% j(B))))),
% j(A)))),V_3)
% Current number of equations to process: 492
% Current number of ordered equations: 766
% Current number of rules: 413
% New rule produced :
% [799]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B)),
% j(B))))),
% j(A)))),V_3) <->
% difference(V_3,difference(difference(V_3,difference(j(V_3),quotient(t(V_3,A),
% j(V_3)))),
% difference(j(difference(V_3,difference(j(V_3),quotient(
% t(V_3,A),
% j(V_3))))),
% quotient(t(difference(V_3,difference(j(V_3),quotient(t(V_3,A),
% j(V_3)))),
% difference(B,difference(j(B),quotient(t(B,C),j(B))))),
% j(difference(V_3,difference(j(V_3),quotient(t(V_3,A),j(V_3)))))))))
% Current number of equations to process: 492
% Current number of ordered equations: 765
% Current number of rules: 414
% New rule produced :
% [800]
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C)))),
% difference(
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C))))),
% quotient(
% t(difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C)))),A),
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C))))))))),
% j(B)))),A)),
% j(A)))),V_3) <->
% difference(V_3,difference(difference(V_3,difference(j(V_3),quotient(t(V_3,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(V_3)))),
% difference(j(difference(V_3,difference(j(V_3),quotient(
% t(V_3,difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(V_3))))),
% quotient(t(difference(V_3,difference(j(V_3),quotient(t(V_3,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(V_3)))),C),
% j(difference(V_3,difference(j(V_3),quotient(t(V_3,difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(V_3)))))))))
% Current number of equations to process: 492
% Current number of ordered equations: 764
% Current number of rules: 415
% New rule produced :
% [801]
% difference(t(A,B),difference(j(t(A,B)),quotient(t(t(A,B),quotient(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% t(A,B)),
% j(C))))),
% j(A)))),
% t(A,B))),j(t(A,B)))))
% <->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% Current number of equations to process: 492
% Current number of ordered equations: 763
% Current number of rules: 416
% New rule produced :
% [802]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% <->
% difference(t(A,B),difference(j(t(A,B)),quotient(t(t(A,B),quotient(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% t(A,B)),
% j(C))))),
% j(A)))),
% t(A,B))),j(t(A,B)))))
% Rule
% [706]
% quotient(difference(difference(A,difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A)))),difference(j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A)))),B),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A)))))))),
% quotient(difference(eta(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% difference(B,difference(j(B),quotient(t(B,difference(A,difference(
% j(A),
% quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A))))),
% j(B))))),difference(A,difference(
% j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A)))))) ->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% quotient(
% difference(
% j(eta(A)),
% quotient(
% eta(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(eta(A)))),
% eta(A))),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% collapsed.
% Rule
% [707]
% t(eta(A),difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% quotient(eta(A),j(eta(A)))),j(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))))))))
% ->
% quotient(difference(j(eta(A)),quotient(difference(A,difference(j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A)))),
% j(eta(A)))),eta(A)) collapsed.
% Current number of equations to process: 495
% Current number of ordered equations: 761
% Current number of rules: 415
% New rule produced :
% [803]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% quotient(
% difference(
% j(
% eta(A)),
% quotient(B,
% j(
% eta(A)))),
% eta(A))),
% j(C)))),B)),
% j(B))))),
% j(A)))),eta(A)) ->
% difference(A,difference(j(A),quotient(t(A,difference(B,difference(j(B),
% quotient(t(B,C),
% j(B))))),j(A))))
% Current number of equations to process: 495
% Current number of ordered equations: 760
% Current number of rules: 416
% New rule produced :
% [804]
% quotient(difference(quotient(difference(B,difference(j(B),quotient(t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A),
% difference(V_3,difference(j(V_3),quotient(t(V_3,A),j(V_3))))),A) <->
% difference(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))),
% difference(A,difference(j(A),quotient(t(A,V_3),j(A)))))
% Current number of equations to process: 495
% Current number of ordered equations: 759
% Current number of rules: 417
% New rule produced :
% [805]
% difference(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))),
% difference(A,difference(j(A),quotient(t(A,V_3),j(A))))) <->
% quotient(difference(quotient(difference(B,difference(j(B),quotient(t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A),
% difference(V_3,difference(j(V_3),quotient(t(V_3,A),j(V_3))))),A)
% Current number of equations to process: 495
% Current number of ordered equations: 758
% Current number of rules: 418
% New rule produced :
% [806]
% quotient(difference(A,difference(B,difference(j(B),quotient(t(B,C),j(B))))),
% difference(difference(C,difference(j(C),quotient(t(C,A),j(C)))),difference(C,
% difference(
% j(C),
% quotient(
% t(C,B),
% j(C)))))) ->
% t(quotient(difference(A,difference(B,difference(j(B),quotient(t(B,C),j(B))))),C),C)
% Current number of equations to process: 495
% Current number of ordered equations: 757
% Current number of rules: 419
% New rule produced :
% [807]
% difference(difference(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))),
% difference(j(difference(B,difference(j(B),quotient(t(B,eta(A)),
% j(B))))),quotient(
% t(difference(B,
% difference(
% j(B),
% quotient(
% t(B,eta(A)),
% j(B)))),
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(difference(B,
% difference(
% j(B),
% quotient(
% t(B,eta(A)),
% j(B)))))))),
% difference(B,difference(j(B),quotient(t(B,i(i(A))),j(B))))) ->
% quotient(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))))
% Current number of equations to process: 495
% Current number of ordered equations: 756
% Current number of rules: 420
% New rule produced :
% [808]
% quotient(difference(A,difference(B,difference(j(B),quotient(t(B,quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B)),
% j(B))))),V_3) <->
% difference(difference(V_3,difference(j(V_3),quotient(t(V_3,A),j(V_3)))),
% difference(V_3,difference(j(V_3),quotient(t(V_3,difference(B,difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(V_3)))))
% Current number of equations to process: 495
% Current number of ordered equations: 755
% Current number of rules: 421
% New rule produced :
% [809]
% difference(difference(V_3,difference(j(V_3),quotient(t(V_3,A),j(V_3)))),
% difference(V_3,difference(j(V_3),quotient(t(V_3,difference(B,difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(V_3))))) <->
% quotient(difference(A,difference(B,difference(j(B),quotient(t(B,quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B)),
% j(B))))),V_3)
% Current number of equations to process: 496
% Current number of ordered equations: 753
% Current number of rules: 422
% New rule produced :
% [810]
% quotient(quotient(quotient(quotient(A,eta(B)),eta(B)),j(eta(B))),t(eta(B),A))
% -> j(eta(B))
% Current number of equations to process: 496
% Current number of ordered equations: 752
% Current number of rules: 423
% New rule produced : [811] quotient(j(A),j(j(A))) -> i(quotient(A,i(A)))
% Rule
% [736]
% quotient(difference(j(A),quotient(j(j(A)),j(j(j(A))))),quotient(A,j(A))) -> A
% collapsed.
% Rule
% [737]
% quotient(difference(A,quotient(j(A),j(j(A)))),i(A)) ->
% t(i(A),quotient(quotient(difference(A,j(A)),A),j(A))) collapsed.
% Current number of equations to process: 497
% Current number of ordered equations: 752
% Current number of rules: 422
% New rule produced :
% [812] quotient(difference(j(A),i(quotient(j(A),A))),quotient(A,j(A))) -> A
% Current number of equations to process: 496
% Current number of ordered equations: 752
% Current number of rules: 423
% New rule produced :
% [813]
% quotient(difference(A,i(quotient(A,i(A)))),i(A)) ->
% t(i(A),quotient(quotient(difference(A,j(A)),A),j(A)))
% Current number of equations to process: 495
% Current number of ordered equations: 752
% Current number of rules: 424
% New rule produced :
% [814]
% difference(i(difference(A,difference(j(A),quotient(t(A,B),j(A))))),difference(B,
% eta(A)))
% -> A
% Current number of equations to process: 495
% Current number of ordered equations: 751
% Current number of rules: 425
% New rule produced :
% [815]
% quotient(difference(A,quotient(j(eta(A)),j(j(A)))),i(A)) ->
% t(i(A),j(j(j(A))))
% Current number of equations to process: 494
% Current number of ordered equations: 751
% Current number of rules: 426
% New rule produced :
% [816]
% t(i(A),quotient(quotient(difference(B,j(A)),B),j(B))) <->
% quotient(difference(A,quotient(j(B),j(j(A)))),i(A))
% Current number of equations to process: 493
% Current number of ordered equations: 750
% Current number of rules: 427
% New rule produced :
% [817]
% quotient(difference(A,quotient(j(B),j(j(A)))),i(A)) <->
% t(i(A),quotient(quotient(difference(B,j(A)),B),j(B)))
% Current number of equations to process: 493
% Current number of ordered equations: 749
% Current number of rules: 428
% New rule produced :
% [818]
% t(A,difference(B,difference(j(B),quotient(t(B,A),j(B))))) <->
% quotient(difference(j(A),quotient(B,j(A))),A)
% Current number of equations to process: 493
% Current number of ordered equations: 747
% Current number of rules: 429
% New rule produced :
% [819]
% quotient(difference(j(A),quotient(B,j(A))),A) <->
% t(A,difference(B,difference(j(B),quotient(t(B,A),j(B)))))
% Current number of equations to process: 493
% Current number of ordered equations: 744
% Current number of rules: 430
% New rule produced :
% [820] difference(eta(A),difference(j(eta(A)),i(i(A)))) -> i(i(A))
% Current number of equations to process: 492
% Current number of ordered equations: 744
% Current number of rules: 431
% New rule produced :
% [821]
% quotient(quotient(difference(j(eta(A)),quotient(difference(C,difference(
% j(C),quotient(
% t(C,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))),
% j(eta(A)))),eta(A)),difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))) <->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A)))),
% difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A)))))))))
% Current number of equations to process: 491
% Current number of ordered equations: 743
% Current number of rules: 432
% New rule produced :
% [822]
% quotient(difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A)))),B) ->
% difference(A,difference(j(A),quotient(t(A,eta(B)),j(A))))
% Current number of equations to process: 492
% Current number of ordered equations: 741
% Current number of rules: 433
% New rule produced :
% [823]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A)))),
% difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A)))))))))
% <->
% quotient(quotient(difference(j(eta(A)),quotient(difference(C,difference(
% j(C),quotient(
% t(C,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))),
% j(eta(A)))),eta(A)),difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))))
% Current number of equations to process: 492
% Current number of ordered equations: 740
% Current number of rules: 434
% New rule produced :
% [824]
% quotient(difference(i(difference(A,B)),quotient(difference(j(eta(A)),
% quotient(difference(A,B),
% j(eta(A)))),eta(A))),
% difference(A,B)) ->
% difference(A,difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))))
% Current number of equations to process: 492
% Current number of ordered equations: 739
% Current number of rules: 435
% New rule produced :
% [825]
% difference(A,difference(j(A),quotient(t(A,quotient(B,eta(A))),j(A)))) ->
% quotient(difference(A,difference(j(A),quotient(t(A,B),j(A)))),eta(A))
% Rule
% [484]
% difference(A,difference(j(A),quotient(t(A,quotient(difference(j(eta(A)),
% quotient(B,j(eta(A)))),
% eta(A))),j(A)))) ->
% quotient(quotient(difference(j(A),B),j(A)),j(j(A))) collapsed.
% Current number of equations to process: 493
% Current number of ordered equations: 722
% Current number of rules: 435
% New rule produced :
% [826]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(j(eta(A)),
% quotient(B,j(eta(A))))),
% j(A)))),eta(A)) ->
% quotient(quotient(difference(j(A),B),j(A)),j(j(A)))
% Current number of equations to process: 492
% Current number of ordered equations: 721
% Current number of rules: 436
% New rule produced :
% [827]
% quotient(difference(A,difference(j(A),quotient(t(A,i(B)),j(A)))),j(B)) ->
% difference(A,difference(j(A),quotient(t(A,eta(B)),j(A))))
% Current number of equations to process: 492
% Current number of ordered equations: 719
% Current number of rules: 437
% New rule produced :
% [828]
% difference(difference(B,difference(j(B),quotient(t(B,C),j(B)))),difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% eta(A)),
% j(C))))),
% j(B))))) ->
% quotient(quotient(t(eta(A),difference(B,difference(j(B),quotient(t(B,
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% t(eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B)))))),
% j(C)))),B)),
% j(B))))),C),B)
% Current number of equations to process: 493
% Current number of ordered equations: 717
% Current number of rules: 438
% New rule produced :
% [829]
% quotient(quotient(A,i(B)),quotient(quotient(A,j(B)),j(j(B)))) ->
% t(quotient(quotient(A,j(B)),j(j(B))),B)
% Current number of equations to process: 493
% Current number of ordered equations: 716
% Current number of rules: 439
% New rule produced :
% [830]
% quotient(quotient(quotient(quotient(difference(A,i(B)),A),j(A)),j(B)),
% j(j(B))) -> quotient(j(A),B)
% Current number of equations to process: 493
% Current number of ordered equations: 715
% Current number of rules: 440
% New rule produced :
% [831]
% difference(t(t(j(A),B),j(A)),quotient(quotient(difference(A,B),A),j(A))) ->
% t(j(A),B)
% Current number of equations to process: 493
% Current number of ordered equations: 713
% Current number of rules: 441
% New rule produced :
% [832]
% quotient(quotient(quotient(A,quotient(B,A)),j(quotient(B,A))),j(quotient(B,A)))
% -> t(j(quotient(B,A)),B)
% Current number of equations to process: 493
% Current number of ordered equations: 712
% Current number of rules: 442
% New rule produced :
% [833]
% quotient(difference(A,i(quotient(A,i(A)))),quotient(quotient(difference(A,
% j(A)),A),
% j(A))) -> i(A)
% Current number of equations to process: 492
% Current number of ordered equations: 712
% Current number of rules: 443
% Rule [642]
% difference(t(eta(A),B),A) ->
% t(eta(A),difference(B,difference(eta(A),j(j(A))))) is composed into
% [642] difference(t(eta(A),B),A) -> t(eta(A),difference(B,j(j(j(j(A))))))
% Rule [641]
% quotient(t(eta(A),B),A) <->
% t(eta(A),quotient(B,difference(eta(A),j(j(A))))) is composed into
% [641] quotient(t(eta(A),B),A) -> t(eta(A),quotient(B,j(j(j(j(A))))))
% New rule produced : [834] difference(eta(A),j(j(A))) -> j(j(j(j(A))))
% Rule
% [640]
% t(eta(A),quotient(B,difference(eta(A),j(j(A))))) <-> quotient(t(eta(A),B),A)
% collapsed.
% Rule [747] difference(j(eta(A)),difference(eta(A),j(j(A)))) -> j(j(A))
% collapsed.
% Current number of equations to process: 492
% Current number of ordered equations: 712
% Current number of rules: 442
% New rule produced : [835] difference(j(eta(A)),j(j(j(j(A))))) -> j(j(A))
% Current number of equations to process: 491
% Current number of ordered equations: 712
% Current number of rules: 443
% New rule produced :
% [836]
% 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: 490
% Current number of ordered equations: 711
% Current number of rules: 444
% New rule produced :
% [837]
% 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: 490
% Current number of ordered equations: 710
% Current number of rules: 445
% New rule produced :
% [838]
% 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: 490
% Current number of ordered equations: 709
% Current number of rules: 446
% New rule produced :
% [839]
% 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: 490
% Current number of ordered equations: 708
% Current number of rules: 447
% New rule produced :
% [840]
% t(eta(A),difference(quotient(B,difference(eta(A),C)),eta(A))) <->
% difference(quotient(t(eta(A),B),quotient(C,eta(A))),eta(A))
% Current number of equations to process: 490
% Current number of ordered equations: 707
% Current number of rules: 448
% New rule produced :
% [841]
% difference(quotient(t(eta(A),B),quotient(C,eta(A))),eta(A)) <->
% t(eta(A),difference(quotient(B,difference(eta(A),C)),eta(A)))
% Current number of equations to process: 490
% Current number of ordered equations: 706
% Current number of rules: 449
% New rule produced :
% [842]
% 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: 490
% Current number of ordered equations: 705
% Current number of rules: 450
% New rule produced :
% [843]
% 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: 490
% Current number of ordered equations: 704
% Current number of rules: 451
% New rule produced :
% [844]
% t(eta(B),difference(quotient(difference(eta(B),A),C),eta(B))) ->
% difference(quotient(quotient(A,eta(B)),t(eta(B),C)),eta(B))
% Current number of equations to process: 490
% Current number of ordered equations: 703
% Current number of rules: 452
% New rule produced :
% [845]
% t(eta(A),quotient(j(difference(eta(A),B)),difference(eta(A),B))) ->
% quotient(j(quotient(B,eta(A))),quotient(B,eta(A)))
% Current number of equations to process: 490
% Current number of ordered equations: 702
% Current number of rules: 453
% New rule produced :
% [846]
% 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: 490
% Current number of ordered equations: 701
% Current number of rules: 454
% New rule produced :
% [847]
% t(eta(B),difference(difference(difference(eta(B),A),C),eta(B))) ->
% difference(difference(quotient(A,eta(B)),t(eta(B),C)),eta(B))
% Current number of equations to process: 490
% Current number of ordered equations: 700
% Current number of rules: 455
% New rule produced :
% [848]
% quotient(difference(j(quotient(j(A),A)),quotient(A,j(quotient(j(A),A)))),
% i(A)) -> quotient(j(A),A)
% Current number of equations to process: 490
% Current number of ordered equations: 699
% Current number of rules: 456
% New rule produced :
% [849]
% difference(j(A),difference(j(j(A)),quotient(j(A),A))) -> quotient(j(A),A)
% Current number of equations to process: 489
% Current number of ordered equations: 699
% Current number of rules: 457
% New rule produced :
% [850]
% difference(A,difference(j(A),quotient(t(A,j(j(A))),j(A)))) ->
% difference(j(A),quotient(j(eta(A)),j(A)))
% Current number of equations to process: 488
% Current number of ordered equations: 699
% Current number of rules: 458
% New rule produced :
% [851]
% quotient(difference(B,difference(j(B),quotient(t(B,t(eta(difference(A,
% difference(j(A),
% quotient(t(A,B),
% j(A))))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% eta(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(A)))))),
% j(B)))),A) ->
% difference(A,j(j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))
% Current number of equations to process: 488
% Current number of ordered equations: 697
% Current number of rules: 459
% New rule produced :
% [852]
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,difference(A,
% difference(
% j(A),quotient(
% t(A,
% t(B,C)),
% j(A))))),
% j(B)))),t(B,C)),A) <->
% quotient(difference(t(B,C),difference(B,difference(j(B),quotient(t(B,
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))),B)),
% j(B))))),A)
% Current number of equations to process: 487
% Current number of ordered equations: 698
% Current number of rules: 460
% New rule produced :
% [853]
% quotient(difference(t(B,C),difference(B,difference(j(B),quotient(t(B,
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))),B)),
% j(B))))),A) <->
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,difference(A,
% difference(
% j(A),quotient(
% t(A,
% t(B,C)),
% j(A))))),
% j(B)))),t(B,C)),A)
% Current number of equations to process: 487
% Current number of ordered equations: 697
% Current number of rules: 461
% New rule produced :
% [854]
% t(eta(A),difference(B,difference(difference(j(B),j(j(B))),difference(
% j(difference(
% j(B),j(j(B)))),
% quotient(t(
% difference(
% j(B),
% j(
% j(B))),C),
% j(difference(
% j(B),j(j(B)))))))))
% <-> t(eta(A),t(B,difference(C,difference(j(C),quotient(t(C,B),j(C))))))
% Current number of equations to process: 487
% Current number of ordered equations: 696
% Current number of rules: 462
% New rule produced :
% [855]
% t(eta(A),t(B,difference(C,difference(j(C),quotient(t(C,B),j(C)))))) <->
% t(eta(A),difference(B,difference(difference(j(B),j(j(B))),difference(
% j(difference(
% j(B),j(j(B)))),
% quotient(t(
% difference(
% j(B),
% j(
% j(B))),C),
% j(difference(
% j(B),j(j(B)))))))))
% Current number of equations to process: 487
% Current number of ordered equations: 695
% Current number of rules: 463
% New rule produced :
% [856]
% t(i(i(A)),difference(B,difference(j(B),quotient(t(B,i(i(A))),j(B))))) <->
% difference(i(i(A)),difference(quotient(difference(j(eta(A)),quotient(
% quotient(A,
% i(A)),j(eta(A)))),
% eta(A)),difference(j(quotient(difference(
% j(eta(A)),
% quotient(
% quotient(A,
% i(A)),j(eta(A)))),
% eta(A))),quotient(
% t(quotient(
% difference(
% j(eta(A)),
% quotient(
% quotient(A,
% i(A)),j(eta(A)))),
% eta(A)),B),
% j(quotient(
% difference(
% j(eta(A)),
% quotient(
% quotient(A,
% i(A)),j(eta(A)))),
% eta(A)))))))
% Current number of equations to process: 485
% Current number of ordered equations: 696
% Current number of rules: 464
% New rule produced :
% [857]
% difference(i(i(A)),difference(quotient(difference(j(eta(A)),quotient(
% quotient(A,
% i(A)),j(eta(A)))),
% eta(A)),difference(j(quotient(difference(
% j(eta(A)),
% quotient(
% quotient(A,
% i(A)),j(eta(A)))),
% eta(A))),quotient(
% t(quotient(
% difference(
% j(eta(A)),
% quotient(
% quotient(A,
% i(A)),j(eta(A)))),
% eta(A)),B),
% j(quotient(
% difference(
% j(eta(A)),
% quotient(
% quotient(A,
% i(A)),j(eta(A)))),
% eta(A)))))))
% <-> t(i(i(A)),difference(B,difference(j(B),quotient(t(B,i(i(A))),j(B)))))
% Current number of equations to process: 485
% Current number of ordered equations: 695
% Current number of rules: 465
% New rule produced :
% [858]
% t(j(j(A)),difference(B,difference(j(B),quotient(t(B,j(j(A))),j(B))))) <->
% difference(j(j(A)),difference(difference(j(A),j(j(A))),difference(j(difference(
% j(A),
% j(
% j(A)))),
% quotient(t(difference(
% j(A),
% j(j(A))),B),
% j(difference(j(A),
% j(j(A))))))))
% Current number of equations to process: 483
% Current number of ordered equations: 696
% Current number of rules: 466
% New rule produced :
% [859]
% difference(j(j(A)),difference(difference(j(A),j(j(A))),difference(j(difference(
% j(A),
% j(
% j(A)))),
% quotient(t(difference(
% j(A),
% j(j(A))),B),
% j(difference(j(A),
% j(j(A)))))))) <->
% t(j(j(A)),difference(B,difference(j(B),quotient(t(B,j(j(A))),j(B)))))
% Current number of equations to process: 483
% Current number of ordered equations: 695
% Current number of rules: 467
% New rule produced :
% [860]
% t(t(eta(A),B),difference(C,difference(j(C),quotient(t(C,t(eta(A),B)),j(C)))))
% <->
% difference(t(eta(A),B),difference(t(eta(A),difference(j(B),j(j(B)))),
% difference(j(t(eta(A),difference(j(B),j(j(B))))),
% quotient(t(t(eta(A),difference(j(B),j(j(B)))),C),
% j(t(eta(A),difference(j(B),j(j(B)))))))))
% Current number of equations to process: 483
% Current number of ordered equations: 694
% Current number of rules: 468
% New rule produced :
% [861]
% difference(t(eta(A),B),difference(t(eta(A),difference(j(B),j(j(B)))),
% difference(j(t(eta(A),difference(j(B),j(j(B))))),
% quotient(t(t(eta(A),difference(j(B),j(j(B)))),C),
% j(t(eta(A),difference(j(B),j(j(B))))))))) <->
% t(t(eta(A),B),difference(C,difference(j(C),quotient(t(C,t(eta(A),B)),j(C)))))
% Current number of equations to process: 483
% Current number of ordered equations: 693
% Current number of rules: 469
% New rule produced :
% [862] difference(i(i(i(A))),quotient(eta(A),j(eta(A)))) -> A
% Current number of equations to process: 482
% Current number of ordered equations: 693
% Current number of rules: 470
% New rule produced :
% [863]
% quotient(difference(j(A),quotient(j(eta(A)),j(A))),eta(A)) ->
% difference(j(A),j(j(A)))
% Current number of equations to process: 481
% Current number of ordered equations: 693
% Current number of rules: 471
% New rule produced :
% [864]
% quotient(quotient(difference(j(eta(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A)))))),
% quotient(difference(A,difference(j(A),quotient(t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A)))),j(eta(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))),
% eta(difference(A,difference(j(A),quotient(t(A,B),j(A)))))),C) ->
% i(i(difference(A,difference(j(A),quotient(t(A,B),j(A))))))
% Current number of equations to process: 481
% Current number of ordered equations: 692
% Current number of rules: 472
% New rule produced :
% [865]
% difference(A,quotient(quotient(quotient(quotient(quotient(difference(
% j(A),difference(B,
% difference(
% j(B),quotient(
% t(B,
% i(A)),
% j(B))))),
% j(A)),j(j(A))),i(A)),
% j(A)),j(j(A)))) <->
% difference(quotient(eta(A),j(eta(A))),difference(j(quotient(eta(A),j(eta(A)))),
% quotient(t(quotient(eta(A),j(eta(A))),B),
% j(quotient(eta(A),j(eta(A)))))))
% Current number of equations to process: 479
% Current number of ordered equations: 693
% Current number of rules: 473
% New rule produced :
% [866]
% difference(quotient(eta(A),j(eta(A))),difference(j(quotient(eta(A),j(eta(A)))),
% quotient(t(quotient(eta(A),j(eta(A))),B),
% j(quotient(eta(A),j(eta(A))))))) <->
% difference(A,quotient(quotient(quotient(quotient(quotient(difference(
% j(A),difference(B,
% difference(
% j(B),quotient(
% t(B,
% i(A)),
% j(B))))),
% j(A)),j(j(A))),i(A)),
% j(A)),j(j(A))))
% Current number of equations to process: 479
% Current number of ordered equations: 692
% Current number of rules: 474
% New rule produced :
% [867]
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% quotient(
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))),
% j(V_3)))),C)),
% j(C))))),
% j(B)))),A)),
% j(A)))) <->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C))))),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% Current number of equations to process: 479
% Current number of ordered equations: 691
% Current number of rules: 475
% New rule produced :
% [868]
% difference(A,difference(j(A),quotient(t(A,quotient(difference(quotient(
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A),
% difference(j(quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% quotient(t(quotient(
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A),
% difference(V_3,
% difference(
% j(V_3),quotient(
% t(V_3,A),
% j(V_3))))),
% j(quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A))))),A)),
% j(A)))) <->
% difference(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))),
% difference(j(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))))),
% quotient(t(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))),V_3),
% j(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))))))
% Current number of equations to process: 479
% Current number of ordered equations: 690
% Current number of rules: 476
% New rule produced :
% [869]
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,A),
% j(V_3)))),
% difference(
% j(
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,A),
% j(V_3))))),
% quotient(
% t(
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,A),
% j(V_3)))),B),
% j(
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,A),
% j(V_3))))))))),
% j(C)))),B)),
% j(B)))),A)),
% j(A)))) <->
% difference(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),difference(j(difference(A,
% difference(
% j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),V_3),
% j(difference(A,difference(
% j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))))))
% Current number of equations to process: 479
% Current number of ordered equations: 689
% Current number of rules: 477
% New rule produced :
% [870]
% difference(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))),
% difference(j(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))))),
% quotient(t(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))),V_3),
% j(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))))))
% <->
% difference(A,difference(j(A),quotient(t(A,quotient(difference(quotient(
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A),
% difference(j(quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% quotient(t(quotient(
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A),
% difference(V_3,
% difference(
% j(V_3),quotient(
% t(V_3,A),
% j(V_3))))),
% j(quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A))))),A)),
% j(A))))
% Current number of equations to process: 479
% Current number of ordered equations: 688
% Current number of rules: 478
% New rule produced :
% [871]
% difference(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),difference(j(difference(A,
% difference(
% j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),V_3),
% j(difference(A,difference(
% j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))))))
% <->
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,A),
% j(V_3)))),
% difference(
% j(
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,A),
% j(V_3))))),
% quotient(
% t(
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,A),
% j(V_3)))),B),
% j(
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,A),
% j(V_3))))))))),
% j(C)))),B)),
% j(B)))),A)),
% j(A))))
% Current number of equations to process: 479
% Current number of ordered equations: 687
% Current number of rules: 479
% New rule produced :
% [872]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C))))),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% <->
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% quotient(
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))),
% j(V_3)))),C)),
% j(C))))),
% j(B)))),A)),
% j(A))))
% Rule
% [807]
% difference(difference(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))),
% difference(j(difference(B,difference(j(B),quotient(t(B,eta(A)),
% j(B))))),quotient(
% t(difference(B,
% difference(
% j(B),
% quotient(
% t(B,eta(A)),
% j(B)))),
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(difference(B,
% difference(
% j(B),
% quotient(
% t(B,eta(A)),
% j(B)))))))),
% difference(B,difference(j(B),quotient(t(B,i(i(A))),j(B))))) ->
% quotient(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))))
% collapsed.
% Current number of equations to process: 480
% Current number of ordered equations: 686
% Current number of rules: 479
% New rule produced :
% [873]
% t(eta(A),quotient(difference(j(eta(A)),quotient(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),A)) -> t(i(i(i(i(A)))),B)
% Current number of equations to process: 479
% Current number of ordered equations: 686
% Current number of rules: 480
% New rule produced :
% [874]
% quotient(difference(B,difference(C,difference(j(C),quotient(t(C,j(j(A))),
% j(C))))),j(j(A))) <->
% difference(quotient(quotient(difference(j(A),B),j(A)),j(j(A))),quotient(
% quotient(
% difference(
% j(A),C),
% j(A)),
% j(j(A))))
% Current number of equations to process: 479
% Current number of ordered equations: 685
% Current number of rules: 481
% New rule produced :
% [875]
% difference(quotient(quotient(difference(j(A),B),j(A)),j(j(A))),quotient(
% quotient(
% difference(
% j(A),C),
% j(A)),
% j(j(A)))) <->
% quotient(difference(B,difference(C,difference(j(C),quotient(t(C,j(j(A))),
% j(C))))),j(j(A)))
% Current number of equations to process: 479
% Current number of ordered equations: 684
% Current number of rules: 482
% New rule produced :
% [876]
% quotient(difference(B,difference(C,difference(j(C),quotient(t(C,i(i(A))),
% j(C))))),i(i(A))) <->
% difference(quotient(difference(j(eta(A)),quotient(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),eta(A)),quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,C),
% j(A)))),
% j(eta(A)))),
% eta(A)))
% Current number of equations to process: 479
% Current number of ordered equations: 683
% Current number of rules: 483
% New rule produced :
% [877]
% difference(quotient(difference(j(eta(A)),quotient(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),eta(A)),quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,C),
% j(A)))),
% j(eta(A)))),
% eta(A))) <->
% quotient(difference(B,difference(C,difference(j(C),quotient(t(C,i(i(A))),
% j(C))))),i(i(A)))
% Current number of equations to process: 479
% Current number of ordered equations: 682
% Current number of rules: 484
% New rule produced :
% [878]
% quotient(difference(i(A),difference(B,difference(j(B),quotient(t(B,A),j(B))))),A)
% -> difference(A,difference(j(A),quotient(t(A,B),j(A))))
% Rule
% [483]
% quotient(difference(i(quotient(A,B)),difference(B,difference(j(B),quotient(
% t(B,
% quotient(A,B)),
% j(B))))),
% quotient(A,B)) -> A collapsed.
% Current number of equations to process: 483
% Current number of ordered equations: 651
% Current number of rules: 484
% New rule produced :
% [879]
% difference(quotient(A,B),difference(j(quotient(A,B)),quotient(t(quotient(A,B),B),
% j(quotient(A,B))))) -> A
% Current number of equations to process: 482
% Current number of ordered equations: 650
% Current number of rules: 485
% New rule produced :
% [880]
% quotient(quotient(difference(A,difference(difference(j(A),j(j(A))),difference(
% j(
% difference(
% j(A),
% j(
% j(A)))),
% quotient(
% t(
% difference(
% j(A),
% j(
% j(A))),B),
% j(
% difference(
% j(A),
% j(
% j(A)))))))),B),
% difference(j(A),j(j(A)))) <->
% quotient(quotient(t(A,difference(B,difference(j(B),quotient(t(B,A),j(B))))),B),
% difference(j(A),j(j(A))))
% Current number of equations to process: 482
% Current number of ordered equations: 649
% Current number of rules: 486
% New rule produced :
% [881]
% quotient(quotient(t(A,difference(B,difference(j(B),quotient(t(B,A),j(B))))),B),
% difference(j(A),j(j(A)))) <->
% quotient(quotient(difference(A,difference(difference(j(A),j(j(A))),difference(
% j(
% difference(
% j(A),
% j(
% j(A)))),
% quotient(
% t(
% difference(
% j(A),
% j(
% j(A))),B),
% j(
% difference(
% j(A),
% j(
% j(A)))))))),B),
% difference(j(A),j(j(A))))
% Current number of equations to process: 482
% Current number of ordered equations: 648
% Current number of rules: 487
% New rule produced :
% [882]
% quotient(t(B,quotient(difference(j(eta(A)),quotient(B,j(eta(A)))),eta(A))),
% eta(A)) <->
% quotient(difference(B,difference(difference(j(B),j(j(B))),difference(
% j(difference(
% j(B),j(j(B)))),
% quotient(t(
% difference(
% j(B),
% j(
% j(B))),
% eta(A)),
% j(difference(
% j(B),j(j(B)))))))),
% eta(A))
% Current number of equations to process: 481
% Current number of ordered equations: 649
% Current number of rules: 488
% New rule produced :
% [883]
% quotient(difference(B,difference(difference(j(B),j(j(B))),difference(
% j(difference(
% j(B),j(j(B)))),
% quotient(t(
% difference(
% j(B),
% j(
% j(B))),
% eta(A)),
% j(difference(
% j(B),j(j(B)))))))),
% eta(A)) <->
% quotient(t(B,quotient(difference(j(eta(A)),quotient(B,j(eta(A)))),eta(A))),
% eta(A))
% Current number of equations to process: 481
% Current number of ordered equations: 648
% Current number of rules: 489
% New rule produced :
% [884] i(difference(j(A),quotient(j(eta(A)),j(A)))) -> quotient(j(j(j(A))),A)
% Current number of equations to process: 480
% Current number of ordered equations: 648
% Current number of rules: 490
% New rule produced :
% [885]
% quotient(difference(A,quotient(quotient(B,j(A)),j(j(A)))),t(i(A),B)) ->
% t(t(i(A),B),i(A))
% Current number of equations to process: 480
% Current number of ordered equations: 646
% Current number of rules: 491
% New rule produced :
% [886]
% quotient(difference(A,quotient(t(j(A),B),j(j(A)))),i(A)) ->
% t(i(A),quotient(quotient(difference(A,B),A),j(A)))
% Current number of equations to process: 480
% Current number of ordered equations: 645
% Current number of rules: 492
% New rule produced :
% [887]
% difference(t(t(i(i(i(A))),eta(A)),i(i(i(A)))),i(A)) -> t(i(i(i(A))),eta(A))
% Current number of equations to process: 480
% Current number of ordered equations: 644
% Current number of rules: 493
% New rule produced :
% [888]
% t(j(B),quotient(quotient(difference(i(B),A),j(B)),j(j(B)))) ->
% quotient(quotient(quotient(A,B),j(B)),j(B))
% Current number of equations to process: 480
% Current number of ordered equations: 643
% Current number of rules: 494
% New rule produced :
% [889]
% difference(B,difference(j(B),quotient(t(B,j(eta(A))),j(B)))) <->
% difference(j(eta(A)),quotient(difference(eta(A),B),eta(A)))
% Current number of equations to process: 478
% Current number of ordered equations: 644
% Current number of rules: 495
% New rule produced :
% [890]
% difference(j(eta(A)),quotient(difference(eta(A),B),eta(A))) <->
% difference(B,difference(j(B),quotient(t(B,j(eta(A))),j(B))))
% Current number of equations to process: 478
% Current number of ordered equations: 643
% Current number of rules: 496
% New rule produced :
% [891] difference(j(j(j(j(j(j(A)))))),quotient(A,i(A))) -> j(j(j(j(A))))
% Current number of equations to process: 477
% Current number of ordered equations: 643
% Current number of rules: 497
% New rule produced :
% [892]
% difference(t(difference(A,B),B),difference(j(difference(A,B)),quotient(A,
% j(difference(A,B)))))
% -> difference(A,B)
% Current number of equations to process: 477
% Current number of ordered equations: 642
% Current number of rules: 498
% New rule produced :
% [893]
% quotient(difference(j(quotient(A,B)),quotient(t(quotient(A,B),B),j(quotient(A,B)))),A)
% -> quotient(A,B)
% Current number of equations to process: 477
% Current number of ordered equations: 641
% Current number of rules: 499
% New rule produced :
% [894]
% t(j(A),difference(A,difference(j(A),quotient(t(A,B),j(A))))) ->
% quotient(quotient(quotient(B,A),j(A)),j(A))
% Current number of equations to process: 477
% Current number of ordered equations: 639
% Current number of rules: 500
% New rule produced :
% [895]
% quotient(difference(j(eta(A)),quotient(difference(eta(A),t(j(eta(A)),B)),
% eta(A))),B) -> j(eta(A))
% Current number of equations to process: 476
% Current number of ordered equations: 639
% Current number of rules: 501
% New rule produced :
% [896]
% difference(t(t(A,B),A),difference(A,difference(j(A),quotient(t(A,B),j(A)))))
% -> t(A,B)
% Current number of equations to process: 476
% Current number of ordered equations: 637
% Current number of rules: 502
% New rule produced :
% [897] quotient(quotient(eta(A),j(eta(A))),i(A)) -> t(i(A),j(j(A)))
% Current number of equations to process: 475
% Current number of ordered equations: 637
% Current number of rules: 503
% New rule produced :
% [898]
% difference(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))),
% difference(A,difference(j(A),quotient(t(A,quotient(difference(quotient(
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A),
% difference(j(quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% quotient(t(quotient(
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A),x2),
% j(quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A))))),
% quotient(difference(eta(A),
% difference(x2,difference(
% j(x2),
% quotient(
% t(x2,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(x2))))),
% quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)))),
% j(A))))) -> eta(A)
% Current number of equations to process: 475
% Current number of ordered equations: 636
% Current number of rules: 504
% New rule produced :
% [899]
% difference(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),difference(A,difference(
% j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% quotient(
% difference(
% j(eta(A)),
% quotient(B,
% j(eta(A)))),
% eta(A))),
% j(C)))),B)),
% j(B))))),
% j(A))))) ->
% eta(A)
% Current number of equations to process: 475
% Current number of ordered equations: 635
% Current number of rules: 505
% New rule produced :
% [900]
% quotient(difference(A,difference(B,difference(j(B),quotient(t(B,j(A)),j(B))))),
% j(A)) -> quotient(quotient(difference(A,B),A),j(A))
% Current number of equations to process: 476
% Current number of ordered equations: 633
% Current number of rules: 506
% New rule produced :
% [901]
% difference(quotient(difference(j(eta(B)),quotient(A,j(eta(B)))),eta(B)),
% i(i(B))) -> quotient(difference(A,j(j(B))),eta(B))
% Current number of equations to process: 476
% Current number of ordered equations: 632
% Current number of rules: 507
% New rule produced :
% [902]
% difference(t(quotient(quotient(A,j(B)),j(j(B))),B),quotient(A,i(B))) ->
% quotient(quotient(A,j(B)),j(j(B)))
% Current number of equations to process: 476
% Current number of ordered equations: 631
% Current number of rules: 508
% New rule produced :
% [903]
% i(difference(A,difference(j(A),quotient(t(A,i(i(i(i(A))))),j(A))))) ->
% quotient(i(i(i(A))),A)
% Current number of equations to process: 476
% Current number of ordered equations: 630
% Current number of rules: 509
% New rule produced :
% [904]
% quotient(quotient(quotient(quotient(A,eta(B)),eta(B)),j(eta(B))),j(eta(B)))
% -> t(eta(B),t(j(eta(B)),A))
% Current number of equations to process: 475
% Current number of ordered equations: 630
% Current number of rules: 510
% New rule produced :
% [905]
% quotient(difference(A,quotient(j(B),j(j(A)))),quotient(quotient(difference(B,
% j(A)),B),
% j(B))) -> i(A)
% Current number of equations to process: 475
% Current number of ordered equations: 629
% Current number of rules: 511
% New rule produced :
% [906]
% quotient(quotient(quotient(A,B),j(B)),quotient(quotient(difference(i(B),A),
% j(B)),j(j(B)))) -> j(B)
% Current number of equations to process: 475
% Current number of ordered equations: 628
% Current number of rules: 512
% New rule produced :
% [907]
% quotient(quotient(quotient(A,B),j(B)),difference(B,difference(j(B),quotient(
% t(B,A),
% j(B)))))
% -> j(B)
% Current number of equations to process: 475
% Current number of ordered equations: 627
% Current number of rules: 513
% New rule produced :
% [908]
% quotient(difference(A,difference(A,j(j(j(A))))),j(A)) -> quotient(j(A),A)
% Current number of equations to process: 471
% Current number of ordered equations: 627
% Current number of rules: 514
% New rule produced :
% [909]
% t(eta(A),difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,eta(A)),
% j(C))))),
% j(B))))) <->
% difference(t(eta(A),B),difference(j(t(eta(A),B)),quotient(t(t(eta(A),B),
% difference(
% eta(A),difference(
% quotient(
% eta(A),
% j(eta(A))),
% difference(
% j(quotient(
% eta(A),
% j(
% eta(A)))),
% quotient(
% t(quotient(
% eta(A),
% j(
% eta(A))),C),
% j(quotient(
% eta(A),
% j(
% eta(A))))))))),
% j(t(eta(A),B)))))
% Current number of equations to process: 467
% Current number of ordered equations: 629
% Current number of rules: 515
% New rule produced :
% [910]
% difference(t(eta(A),B),difference(j(t(eta(A),B)),quotient(t(t(eta(A),B),
% difference(
% eta(A),difference(
% quotient(
% eta(A),
% j(eta(A))),
% difference(
% j(quotient(
% eta(A),
% j(
% eta(A)))),
% quotient(
% t(quotient(
% eta(A),
% j(
% eta(A))),C),
% j(quotient(
% eta(A),
% j(
% eta(A))))))))),
% j(t(eta(A),B))))) <->
% t(eta(A),difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,eta(A)),
% j(C))))),
% j(B)))))
% Current number of equations to process: 467
% Current number of ordered equations: 628
% Current number of rules: 516
% New rule produced :
% [911]
% difference(difference(eta(A),difference(quotient(eta(A),j(eta(A))),difference(
% j(
% quotient(
% eta(A),
% j(
% eta(A)))),
% quotient(
% t(
% quotient(
% eta(A),
% j(
% eta(A))),B),
% j(
% quotient(
% eta(A),
% j(
% eta(A)))))))),
% difference(j(difference(eta(A),difference(quotient(eta(A),j(eta(A))),
% difference(j(quotient(eta(A),j(eta(A)))),
% quotient(t(quotient(eta(A),j(eta(A))),B),
% j(quotient(eta(A),j(eta(A))))))))),quotient(
% t(difference(
% eta(A),
% difference(
% quotient(
% eta(A),
% j(
% eta(A))),
% difference(
% j(
% quotient(
% eta(A),
% j(
% eta(A)))),
% quotient(
% t(
% quotient(
% eta(A),
% j(
% eta(A))),B),
% j(
% quotient(
% eta(A),
% j(
% eta(A)))))))),
% t(eta(A),C)),
% j(difference(
% eta(A),
% difference(
% quotient(
% eta(A),
% j(
% eta(A))),
% difference(
% j(
% quotient(
% eta(A),
% j(
% eta(A)))),
% quotient(
% t(
% quotient(
% eta(A),
% j(
% eta(A))),B),
% j(
% quotient(
% eta(A),
% j(
% eta(A))))))))))))
% ->
% t(eta(A),difference(B,difference(j(B),quotient(t(B,quotient(difference(
% j(eta(A)),
% quotient(C,
% j(eta(A)))),
% eta(A))),j(B)))))
% Current number of equations to process: 467
% Current number of ordered equations: 627
% Current number of rules: 517
% New rule produced :
% [912]
% difference(eta(A),quotient(quotient(difference(j(eta(A)),quotient(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% eta(A),
% j(eta(A)))),
% j(A)))),
% j(eta(A)))),
% eta(A)),A)) ->
% t(j(j(A)),quotient(eta(A),j(eta(A))))
% Current number of equations to process: 466
% Current number of ordered equations: 627
% Current number of rules: 518
% New rule produced :
% [913]
% difference(i(i(A)),difference(quotient(difference(j(eta(A)),quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A)),difference(j(quotient(difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A))),quotient(
% t(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A)),
% quotient(C,
% i(i(A)))),
% j(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A))))))) ->
% quotient(difference(B,difference(j(B),quotient(t(B,C),j(B)))),i(i(A)))
% Current number of equations to process: 466
% Current number of ordered equations: 626
% Current number of rules: 519
% New rule produced :
% [914]
% difference(j(j(A)),difference(quotient(quotient(difference(j(A),B),j(A)),
% j(j(A))),difference(j(quotient(quotient(
% difference(
% j(A),B),
% j(A)),j(j(A)))),
% quotient(t(quotient(quotient(difference(
% j(A),B),
% j(A)),j(j(A))),
% quotient(C,j(j(A)))),
% j(quotient(quotient(difference(j(A),B),
% j(A)),j(j(A)))))))) ->
% quotient(difference(B,difference(j(B),quotient(t(B,C),j(B)))),j(j(A)))
% Current number of equations to process: 466
% Current number of ordered equations: 625
% Current number of rules: 520
% New rule produced :
% [915]
% quotient(difference(difference(i(i(A)),difference(quotient(difference(
% j(eta(A)),
% quotient(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A)),difference(
% j(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A))),
% quotient(t(
% quotient(
% difference(
% j(
% eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(
% eta(A)))),
% eta(A)),C),
% j(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A))))))),
% difference(j(difference(i(i(A)),difference(quotient(difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A)),difference(
% j(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A))),
% quotient(
% t(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A)),C),
% j(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A)))))))),
% quotient(t(difference(i(i(A)),difference(quotient(difference(
% j(eta(A)),
% quotient(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A)),difference(
% j(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A))),
% quotient(t(
% quotient(
% difference(
% j(
% eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(
% eta(A)))),
% eta(A)),C),
% j(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A))))))),x2),
% j(difference(i(i(A)),difference(quotient(difference(j(eta(A)),
% quotient(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),eta(A)),
% difference(j(quotient(difference(j(eta(A)),
% quotient(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),eta(A))),
% quotient(t(quotient(difference(j(eta(A)),
% quotient(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),eta(A)),C),
% j(quotient(difference(j(eta(A)),quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A))))))))))),quotient(difference(
% i(i(A)),difference(x2,
% difference(
% j(x2),
% quotient(
% t(x2,
% difference(
% i(i(A)),
% difference(
% quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A)),
% difference(
% j(quotient(
% difference(
% j(
% eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(
% eta(A)))),
% eta(A))),
% quotient(
% t(quotient(
% difference(
% j(
% eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(
% eta(A)))),
% eta(A)),C),
% j(quotient(
% difference(
% j(
% eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(
% eta(A)))),
% eta(A)))))))),
% j(x2))))),
% difference(i(i(A)),difference(
% quotient(
% difference(
% j(
% eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(
% eta(A)))),
% eta(A)),
% difference(
% j(
% quotient(
% difference(
% j(
% eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(
% eta(A)))),
% eta(A))),
% quotient(
% t(
% quotient(
% difference(
% j(
% eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(
% eta(A)))),
% eta(A)),C),
% j(
% quotient(
% difference(
% j(
% eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(
% eta(A)))),
% eta(A)))))))))
% ->
% difference(B,difference(j(B),quotient(t(B,difference(C,difference(j(C),
% quotient(t(C,i(i(A))),
% j(C))))),j(B))))
% Current number of equations to process: 466
% Current number of ordered equations: 624
% Current number of rules: 521
% New rule produced :
% [916]
% quotient(difference(difference(j(j(A)),difference(quotient(quotient(difference(
% j(A),B),
% j(A)),j(j(A))),
% difference(j(quotient(quotient(
% difference(
% j(A),B),
% j(A)),j(j(A)))),
% quotient(t(quotient(quotient(difference(
% j(A),B),
% j(A)),j(j(A))),C),
% j(quotient(quotient(difference(j(A),B),
% j(A)),j(j(A)))))))),
% difference(j(difference(j(j(A)),difference(quotient(quotient(
% difference(
% j(A),B),
% j(A)),j(j(A))),
% difference(j(quotient(quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A)))),quotient(
% t(quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A))),C),
% j(quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A))))))))),
% quotient(t(difference(j(j(A)),difference(quotient(quotient(difference(
% j(A),B),
% j(A)),j(j(A))),
% difference(j(quotient(quotient(
% difference(
% j(A),B),
% j(A)),j(j(A)))),
% quotient(t(quotient(quotient(difference(
% j(A),B),
% j(A)),j(j(A))),C),
% j(quotient(quotient(difference(j(A),B),
% j(A)),j(j(A)))))))),x2),
% j(difference(j(j(A)),difference(quotient(quotient(difference(j(A),B),
% j(A)),j(j(A))),difference(
% j(quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(
% j(A)))),
% quotient(
% t(quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(
% j(A))),C),
% j(quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(
% j(A)))))))))))),
% quotient(difference(j(j(A)),difference(x2,difference(j(x2),quotient(t(x2,
% difference(
% j(
% j(A)),
% difference(
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(
% j(A))),
% difference(
% j(
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(
% j(A)))),
% quotient(
% t(
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(
% j(A))),C),
% j(
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(
% j(A))))))))),
% j(x2))))),
% difference(j(j(A)),difference(quotient(quotient(difference(j(A),B),j(A)),
% j(j(A))),difference(j(quotient(quotient(
% difference(
% j(A),B),
% j(A)),j(j(A)))),
% quotient(t(quotient(quotient(difference(
% j(A),B),
% j(A)),j(j(A))),C),
% j(quotient(quotient(difference(j(A),B),
% j(A)),j(j(A)))))))))) ->
% difference(B,difference(j(B),quotient(t(B,difference(C,difference(j(C),
% quotient(t(C,j(j(A))),
% j(C))))),j(B))))
% Current number of equations to process: 466
% Current number of ordered equations: 623
% Current number of rules: 522
% New rule produced :
% [917]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(quotient(
% difference(
% j(eta(A)),
% quotient(B,
% j(eta(A)))),
% eta(A)),
% difference(j(quotient(
% difference(
% j(eta(A)),
% quotient(B,
% j(eta(A)))),
% eta(A))),
% quotient(t(quotient(
% difference(
% j(eta(A)),
% quotient(B,
% j(eta(A)))),
% eta(A)),C),
% j(quotient(difference(
% j(eta(A)),
% quotient(B,
% j(eta(A)))),
% eta(A))))))),j(A)))),
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,eta(A)),
% j(C))))),
% j(B)))),eta(A))) -> j(j(A))
% Current number of equations to process: 466
% Current number of ordered equations: 622
% Current number of rules: 523
% New rule produced :
% [918]
% quotient(quotient(difference(j(eta(A)),quotient(B,j(eta(A)))),eta(A)),
% i(i(A))) -> t(i(i(A)),difference(A,B))
% Current number of equations to process: 466
% Current number of ordered equations: 621
% Current number of rules: 524
% New rule produced :
% [919]
% difference(i(A),quotient(difference(j(eta(A)),quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))),
% j(eta(A)))),eta(A))) <->
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(A,
% quotient(
% quotient(B,
% j(A)),
% j(
% j(A))))),
% j(C)))),B)),
% j(B))))),
% j(A)))),i(A))
% Current number of equations to process: 466
% Current number of ordered equations: 620
% Current number of rules: 525
% New rule produced :
% [920]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(A,
% quotient(
% quotient(B,
% j(A)),
% j(
% j(A))))),
% j(C)))),B)),
% j(B))))),
% j(A)))),i(A)) <->
% difference(i(A),quotient(difference(j(eta(A)),quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))),
% j(eta(A)))),eta(A)))
% Current number of equations to process: 466
% Current number of ordered equations: 619
% Current number of rules: 526
% New rule produced :
% [921]
% difference(difference(t(eta(A),B),difference(j(t(eta(A),B)),quotient(
% t(t(eta(A),B),C),
% j(t(eta(A),B))))),
% t(eta(A),difference(B,difference(j(B),quotient(t(B,V_3),j(B)))))) <->
% quotient(difference(C,t(eta(A),difference(V_3,difference(j(V_3),quotient(
% t(V_3,B),
% j(V_3)))))),
% t(eta(A),B))
% Current number of equations to process: 466
% Current number of ordered equations: 617
% Current number of rules: 527
% New rule produced :
% [922]
% quotient(difference(C,t(eta(A),difference(V_3,difference(j(V_3),quotient(
% t(V_3,B),
% j(V_3)))))),
% t(eta(A),B)) <->
% difference(difference(t(eta(A),B),difference(j(t(eta(A),B)),quotient(
% t(t(eta(A),B),C),
% j(t(eta(A),B))))),
% t(eta(A),difference(B,difference(j(B),quotient(t(B,V_3),j(B))))))
% Current number of equations to process: 466
% Current number of ordered equations: 615
% Current number of rules: 528
% New rule produced :
% [923]
% difference(difference(difference(C,B),difference(j(difference(C,B)),quotient(
% t(
% difference(C,B),A),
% j(
% 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: 466
% Current number of ordered equations: 614
% Current number of rules: 529
% New rule produced :
% [924]
% difference(quotient(difference(j(eta(B)),quotient(C,j(eta(B)))),eta(B)),
% quotient(difference(j(eta(B)),quotient(difference(C,difference(j(C),quotient(
% t(C,A),
% j(C)))),
% j(eta(B)))),eta(B))) <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,t(eta(B),
% difference(C,
% difference(
% j(C),quotient(
% t(C,
% eta(B)),
% j(C)))))),
% j(A)))),C),eta(B))
% Current number of equations to process: 466
% Current number of ordered equations: 613
% Current number of rules: 530
% New rule produced :
% [925]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,t(eta(B),
% difference(C,
% difference(
% j(C),quotient(
% t(C,
% eta(B)),
% j(C)))))),
% j(A)))),C),eta(B)) <->
% difference(quotient(difference(j(eta(B)),quotient(C,j(eta(B)))),eta(B)),
% quotient(difference(j(eta(B)),quotient(difference(C,difference(j(C),quotient(
% t(C,A),
% j(C)))),
% j(eta(B)))),eta(B)))
% Current number of equations to process: 466
% Current number of ordered equations: 612
% Current number of rules: 531
% New rule produced :
% [926]
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),quotient(
% t(A,
% eta(B)),
% j(A))))),
% j(C)))),eta(B)),A) <->
% difference(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),
% difference(A,difference(j(A),quotient(t(A,t(eta(B),difference(C,difference(
% j(C),
% quotient(
% t(C,eta(B)),
% j(C)))))),
% j(A)))))
% Current number of equations to process: 464
% Current number of ordered equations: 613
% Current number of rules: 532
% New rule produced :
% [927]
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,quotient(
% difference(
% j(eta(A)),
% quotient(B,
% j(eta(A)))),
% eta(A))),
% j(C)))),B),eta(A)) <->
% t(eta(A),difference(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))),
% difference(eta(A),difference(j(eta(A)),quotient(difference(B,
% difference(j(B),
% quotient(t(B,C),
% j(B)))),j(eta(A)))))))
% Current number of equations to process: 464
% Current number of ordered equations: 612
% Current number of rules: 533
% New rule produced :
% [928]
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,quotient(
% difference(
% j(eta(A)),
% quotient(B,
% j(eta(A)))),
% eta(A))),
% j(C)))),B),eta(A)) <->
% difference(quotient(difference(j(eta(A)),quotient(B,j(eta(A)))),eta(A)),
% t(eta(A),difference(B,difference(j(B),quotient(t(B,quotient(difference(C,
% difference(
% j(C),quotient(
% t(C,
% t(eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B)))))),
% j(C)))),B)),
% j(B))))))
% Current number of equations to process: 464
% Current number of ordered equations: 611
% Current number of rules: 534
% New rule produced :
% [929]
% t(eta(A),difference(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))),
% difference(eta(A),difference(j(eta(A)),quotient(difference(B,
% difference(j(B),
% quotient(t(B,C),
% j(B)))),j(eta(A)))))))
% <->
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,quotient(
% difference(
% j(eta(A)),
% quotient(B,
% j(eta(A)))),
% eta(A))),
% j(C)))),B),eta(A))
% Current number of equations to process: 464
% Current number of ordered equations: 610
% Current number of rules: 535
% New rule produced :
% [930]
% difference(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),
% difference(A,difference(j(A),quotient(t(A,t(eta(B),difference(C,difference(
% j(C),
% quotient(
% t(C,eta(B)),
% j(C)))))),
% j(A))))) <->
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),quotient(
% t(A,
% eta(B)),
% j(A))))),
% j(C)))),eta(B)),A)
% Current number of equations to process: 464
% Current number of ordered equations: 609
% Current number of rules: 536
% New rule produced :
% [931]
% difference(quotient(difference(j(eta(A)),quotient(B,j(eta(A)))),eta(A)),
% t(eta(A),difference(B,difference(j(B),quotient(t(B,quotient(difference(C,
% difference(
% j(C),quotient(
% t(C,
% t(eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B)))))),
% j(C)))),B)),
% j(B)))))) <->
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,quotient(
% difference(
% j(eta(A)),
% quotient(B,
% j(eta(A)))),
% eta(A))),
% j(C)))),B),eta(A))
% Current number of equations to process: 464
% Current number of ordered equations: 608
% Current number of rules: 537
% New rule produced :
% [932]
% i(quotient(quotient(difference(B,A),B),j(B))) <->
% quotient(difference(A,eta(B)),j(B))
% Current number of equations to process: 461
% Current number of ordered equations: 609
% Current number of rules: 538
% New rule produced :
% [933]
% quotient(difference(A,eta(B)),j(B)) <->
% i(quotient(quotient(difference(B,A),B),j(B)))
% Current number of equations to process: 461
% Current number of ordered equations: 608
% Current number of rules: 539
% New rule produced :
% [934]
% i(quotient(quotient(quotient(difference(j(A),B),j(A)),j(j(A))),eta(A))) <->
% t(eta(A),quotient(difference(B,eta(A)),j(j(j(j(A))))))
% Current number of equations to process: 459
% Current number of ordered equations: 609
% Current number of rules: 540
% New rule produced :
% [935]
% t(eta(A),quotient(difference(B,eta(A)),j(j(j(j(A)))))) <->
% i(quotient(quotient(quotient(difference(j(A),B),j(A)),j(j(A))),eta(A)))
% Current number of equations to process: 459
% Current number of ordered equations: 608
% Current number of rules: 541
% New rule produced :
% [936]
% t(i(A),difference(B,quotient(quotient(j(A),j(B)),j(j(B))))) <->
% quotient(difference(A,quotient(i(B),j(j(A)))),i(A))
% Current number of equations to process: 459
% Current number of ordered equations: 607
% Current number of rules: 542
% New rule produced :
% [937]
% quotient(difference(A,quotient(i(B),j(j(A)))),i(A)) <->
% t(i(A),difference(B,quotient(quotient(j(A),j(B)),j(j(B)))))
% Current number of equations to process: 459
% Current number of ordered equations: 606
% Current number of rules: 543
% New rule produced :
% [938]
% t(eta(A),difference(quotient(B,difference(eta(A),C)),V_3)) <->
% difference(quotient(t(eta(A),B),quotient(C,eta(A))),t(eta(A),V_3))
% Current number of equations to process: 459
% Current number of ordered equations: 605
% Current number of rules: 544
% New rule produced :
% [939]
% difference(t(eta(A),B),quotient(t(eta(A),C),quotient(V_3,eta(A)))) ->
% t(eta(A),difference(B,quotient(C,difference(eta(A),V_3))))
% Current number of equations to process: 459
% Current number of ordered equations: 604
% Current number of rules: 545
% New rule produced :
% [940]
% difference(quotient(t(eta(A),B),quotient(C,eta(A))),t(eta(A),V_3)) <->
% t(eta(A),difference(quotient(B,difference(eta(A),C)),V_3))
% Current number of equations to process: 459
% Current number of ordered equations: 603
% Current number of rules: 546
% New rule produced :
% [941]
% 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: 459
% Current number of ordered equations: 602
% Current number of rules: 547
% New rule produced :
% [942]
% 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: 459
% Current number of ordered equations: 601
% Current number of rules: 548
% New rule produced :
% [943]
% 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: 459
% Current number of ordered equations: 600
% Current number of rules: 549
% New rule produced :
% [944]
% 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: 459
% Current number of ordered equations: 599
% Current number of rules: 550
% New rule produced :
% [945]
% 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: 459
% Current number of ordered equations: 598
% Current number of rules: 551
% New rule produced :
% [946]
% 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: 459
% Current number of ordered equations: 597
% Current number of rules: 552
% New rule produced :
% [947]
% 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: 459
% Current number of ordered equations: 596
% Current number of rules: 553
% New rule produced :
% [948]
% 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: 459
% Current number of ordered equations: 595
% Current number of rules: 554
% New rule produced :
% [949]
% t(eta(A),difference(quotient(B,difference(eta(A),C)),j(eta(A)))) <->
% difference(quotient(t(eta(A),B),quotient(C,eta(A))),j(eta(A)))
% Current number of equations to process: 459
% Current number of ordered equations: 594
% Current number of rules: 555
% New rule produced :
% [950]
% difference(quotient(t(eta(A),B),quotient(C,eta(A))),j(eta(A))) <->
% t(eta(A),difference(quotient(B,difference(eta(A),C)),j(eta(A))))
% Current number of equations to process: 459
% Current number of ordered equations: 593
% Current number of rules: 556
% New rule produced :
% [951]
% 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: 459
% Current number of ordered equations: 592
% Current number of rules: 557
% New rule produced :
% [952]
% 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: 459
% Current number of ordered equations: 591
% Current number of rules: 558
% New rule produced :
% [953]
% 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: 459
% Current number of ordered equations: 590
% Current number of rules: 559
% New rule produced :
% [954]
% 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: 459
% Current number of ordered equations: 589
% Current number of rules: 560
% New rule produced :
% [955]
% 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: 459
% Current number of ordered equations: 588
% Current number of rules: 561
% New rule produced :
% [956]
% 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: 459
% Current number of ordered equations: 587
% Current number of rules: 562
% New rule produced :
% [957]
% t(eta(B),difference(quotient(difference(eta(B),A),C),V_3)) ->
% difference(quotient(quotient(A,eta(B)),t(eta(B),C)),t(eta(B),V_3))
% Rule
% [844]
% t(eta(B),difference(quotient(difference(eta(B),A),C),eta(B))) ->
% difference(quotient(quotient(A,eta(B)),t(eta(B),C)),eta(B)) collapsed.
% Current number of equations to process: 459
% Current number of ordered equations: 584
% Current number of rules: 562
% New rule produced :
% [958]
% difference(t(eta(A),B),quotient(quotient(C,eta(A)),t(eta(A),V_3))) ->
% t(eta(A),difference(B,quotient(difference(eta(A),C),V_3)))
% Current number of equations to process: 459
% Current number of ordered equations: 583
% Current number of rules: 563
% New rule produced :
% [959]
% 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: 460
% Current number of ordered equations: 581
% Current number of rules: 564
% New rule produced :
% [960]
% 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
% [842]
% 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: 460
% Current number of ordered equations: 579
% Current number of rules: 564
% New rule produced :
% [961]
% 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
% [843]
% 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: 460
% Current number of ordered equations: 576
% Current number of rules: 564
% New rule produced :
% [962]
% 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: 460
% Current number of ordered equations: 575
% Current number of rules: 565
% New rule produced :
% [963]
% 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: 460
% Current number of ordered equations: 574
% Current number of rules: 566
% New rule produced :
% [964]
% 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: 460
% Current number of ordered equations: 573
% Current number of rules: 567
% New rule produced :
% [965]
% 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: 460
% Current number of ordered equations: 572
% Current number of rules: 568
% New rule produced :
% [966]
% 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
% [959]
% 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: 460
% Current number of ordered equations: 571
% Current number of rules: 568
% New rule produced :
% [967]
% t(eta(A),difference(B,difference(difference(eta(A),C),V_3))) <->
% difference(t(eta(A),B),difference(quotient(C,eta(A)),t(eta(A),V_3)))
% Current number of equations to process: 460
% Current number of ordered equations: 569
% Current number of rules: 569
% New rule produced :
% [968]
% t(eta(B),difference(difference(difference(eta(B),A),C),V_3)) ->
% difference(difference(quotient(A,eta(B)),t(eta(B),C)),t(eta(B),V_3))
% Rule
% [847]
% t(eta(B),difference(difference(difference(eta(B),A),C),eta(B))) ->
% difference(difference(quotient(A,eta(B)),t(eta(B),C)),eta(B)) collapsed.
% Current number of equations to process: 460
% Current number of ordered equations: 566
% Current number of rules: 569
% New rule produced :
% [969]
% difference(t(eta(A),B),difference(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),difference(B,difference(difference(eta(A),C),V_3)))
% Current number of equations to process: 460
% Current number of ordered equations: 565
% Current number of rules: 570
% New rule produced :
% [970]
% 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
% [846]
% 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: 460
% Current number of ordered equations: 563
% Current number of rules: 570
% New rule produced :
% [971]
% 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: 460
% Current number of ordered equations: 560
% Current number of rules: 571
% New rule produced :
% [972]
% 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: 460
% Current number of ordered equations: 559
% Current number of rules: 572
% New rule produced :
% [973]
% 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: 460
% Current number of ordered equations: 558
% Current number of rules: 573
% New rule produced :
% [974]
% 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: 460
% Current number of ordered equations: 557
% Current number of rules: 574
% New rule produced :
% [975]
% 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: 460
% Current number of ordered equations: 556
% Current number of rules: 575
% New rule produced :
% [976]
% quotient(difference(j(A),quotient(B,j(A))),difference(B,difference(j(B),
% quotient(t(B,A),
% j(B))))) -> A
% Current number of equations to process: 460
% Current number of ordered equations: 554
% Current number of rules: 576
% New rule produced :
% [977]
% difference(j(difference(B,j(A))),quotient(B,j(difference(B,j(A))))) ->
% difference(i(A),difference(A,quotient(difference(B,j(A)),j(j(A)))))
% Current number of equations to process: 461
% Current number of ordered equations: 550
% Current number of rules: 577
% New rule produced :
% [978]
% quotient(difference(j(A),quotient(i(B),j(A))),difference(B,quotient(quotient(A,
% j(B)),
% j(j(B))))) -> A
% Current number of equations to process: 461
% Current number of ordered equations: 549
% Current number of rules: 578
% New rule produced :
% [979]
% quotient(difference(j(A),quotient(B,j(A))),quotient(quotient(difference(
% i(B),A),
% j(B)),j(j(B)))) -> A
% Current number of equations to process: 461
% Current number of ordered equations: 548
% Current number of rules: 579
% New rule produced :
% [980]
% difference(j(A),difference(j(j(A)),quotient(j(eta(A)),j(j(A))))) ->
% j(j(j(A)))
% Current number of equations to process: 460
% Current number of ordered equations: 548
% Current number of rules: 580
% New rule produced :
% [981]
% difference(A,difference(j(A),quotient(t(A,difference(j(A),j(j(A)))),j(A))))
% -> difference(j(A),quotient(A,j(A)))
% Current number of equations to process: 460
% Current number of ordered equations: 547
% Current number of rules: 581
% New rule produced :
% [982]
% difference(j(eta(A)),difference(j(eta(A)),quotient(difference(eta(A),
% t(j(eta(A)),B)),eta(A))))
% -> B
% Current number of equations to process: 459
% Current number of ordered equations: 547
% Current number of rules: 582
% New rule produced :
% [983]
% quotient(quotient(difference(j(eta(t(eta(A),B))),quotient(t(eta(A),difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(eta(t(eta(A),B))))),
% eta(t(eta(A),B))),t(eta(A),C)) -> i(i(t(eta(A),B)))
% Current number of equations to process: 458
% Current number of ordered equations: 546
% Current number of rules: 583
% New rule produced :
% [984]
% difference(difference(A,difference(j(A),quotient(t(A,i(B)),j(A)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% eta(B),
% j(
% eta(B)))),
% j(A)))))
% ->
% quotient(quotient(quotient(quotient(difference(j(B),difference(A,difference(
% j(A),
% quotient(
% t(A,
% i(B)),
% j(A))))),
% j(B)),j(j(B))),i(B)),A)
% Current number of equations to process: 457
% Current number of ordered equations: 546
% Current number of rules: 584
% New rule produced :
% [985]
% difference(quotient(quotient(difference(j(A),B),j(A)),j(j(A))),difference(A,
% difference(
% j(A),quotient(
% t(A,
% difference(
% j(
% eta(A)),
% quotient(B,
% j(
% eta(A))))),
% j(A)))))
% -> eta(A)
% Current number of equations to process: 457
% Current number of ordered equations: 545
% Current number of rules: 585
% New rule produced :
% [986]
% difference(difference(A,B),t(eta(difference(A,B)),difference(A,difference(
% j(A),quotient(
% t(A,
% eta(
% difference(A,B))),
% j(A))))))
% ->
% quotient(difference(B,difference(j(B),quotient(j(difference(A,B)),j(B)))),
% difference(A,B))
% Current number of equations to process: 457
% Current number of ordered equations: 544
% Current number of rules: 586
% New rule produced :
% [987]
% difference(quotient(difference(j(eta(A)),quotient(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),eta(A)),difference(
% j(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A))),
% quotient(
% t(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A)),C),
% j(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A))))))
% <->
% quotient(difference(j(eta(A)),quotient(difference(A,difference(j(A),quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% i(
% i(A))),
% j(C))))),
% j(B)))),
% i(
% i(A)))),
% j(A)))),
% j(eta(A)))),eta(A))
% Current number of equations to process: 457
% Current number of ordered equations: 542
% Current number of rules: 587
% New rule produced :
% [988]
% quotient(difference(j(eta(A)),quotient(difference(A,difference(j(A),quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% i(
% i(A))),
% j(C))))),
% j(B)))),
% i(
% i(A)))),
% j(A)))),
% j(eta(A)))),eta(A)) <->
% difference(quotient(difference(j(eta(A)),quotient(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),eta(A)),difference(
% j(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A))),
% quotient(
% t(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A)),C),
% j(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A))))))
% Current number of equations to process: 457
% Current number of ordered equations: 540
% Current number of rules: 588
% New rule produced :
% [989]
% quotient(quotient(difference(j(A),quotient(difference(B,difference(j(B),
% quotient(t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% j(j(A))),
% j(C))))),
% j(B)))),j(j(A)))),
% j(A)),j(j(A))) <->
% difference(quotient(quotient(difference(j(A),B),j(A)),j(j(A))),difference(
% j(quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A)))),
% quotient(
% t(quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A))),C),
% j(quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A)))))))
% Current number of equations to process: 457
% Current number of ordered equations: 539
% Current number of rules: 589
% New rule produced :
% [990]
% difference(quotient(quotient(difference(j(A),B),j(A)),j(j(A))),difference(
% j(quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A)))),
% quotient(
% t(quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A))),C),
% j(quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A)))))))
% <->
% quotient(quotient(difference(j(A),quotient(difference(B,difference(j(B),
% quotient(t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% j(j(A))),
% j(C))))),
% j(B)))),j(j(A)))),
% j(A)),j(j(A)))
% Rule
% [708]
% quotient(difference(quotient(quotient(difference(j(A),B),j(A)),j(j(A))),
% difference(j(quotient(quotient(difference(j(A),B),j(A)),j(j(A)))),
% quotient(t(quotient(quotient(difference(j(A),B),j(A)),j(j(A))),x2),
% j(quotient(quotient(difference(j(A),B),j(A)),j(j(A))))))),quotient(
% difference(
% eta(A),
% difference(x2,
% difference(
% j(x2),
% quotient(
% t(x2,
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(
% j(A)))),
% j(x2))))),
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(
% j(A)))))
% ->
% difference(A,difference(j(A),quotient(t(A,difference(j(eta(A)),quotient(B,
% j(eta(A))))),
% j(A)))) collapsed.
% Current number of equations to process: 458
% Current number of ordered equations: 538
% Current number of rules: 589
% New rule produced :
% [991]
% difference(A,difference(B,difference(j(B),quotient(t(B,i(A)),j(B))))) ->
% quotient(difference(A,difference(B,difference(j(B),quotient(t(B,eta(A)),j(B))))),A)
% Current number of equations to process: 458
% Current number of ordered equations: 537
% Current number of rules: 590
% New rule produced :
% [992]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,i(A)),
% j(B))))),
% j(A)))),difference(i(A),quotient(
% difference(
% j(eta(A)),
% quotient(B,
% j(eta(A)))),
% eta(A)))) ->
% t(quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,
% i(A)),
% j(B))))),
% j(A)))),i(A)),i(A))
% Current number of equations to process: 458
% Current number of ordered equations: 536
% Current number of rules: 591
% New rule produced :
% [993]
% quotient(difference(j(A),difference(B,difference(j(B),quotient(t(B,A),j(B))))),A)
% -> difference(eta(A),difference(A,difference(j(A),quotient(t(A,B),j(A)))))
% Current number of equations to process: 458
% Current number of ordered equations: 535
% Current number of rules: 592
% New rule produced :
% [994]
% difference(i(A),quotient(difference(j(eta(A)),quotient(eta(B),j(eta(A)))),
% eta(A))) ->
% quotient(difference(A,difference(j(A),quotient(t(A,t(eta(B),quotient(
% difference(
% j(eta(A)),
% quotient(
% quotient(
% quotient(
% difference(A,
% eta(B)),A),
% j(A)),j(eta(A)))),
% eta(A)))),
% j(A)))),i(A))
% Current number of equations to process: 457
% Current number of ordered equations: 535
% Current number of rules: 593
% Rule [929]
% t(eta(A),difference(difference(B,difference(j(B),quotient(t(B,eta(A)),
% j(B)))),difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(
% difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B)))),
% j(eta(A)))))))
% <->
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,quotient(
% difference(
% j(eta(A)),
% quotient(B,
% j(eta(A)))),
% eta(A))),
% j(C)))),B),eta(A)) is composed into
% [929]
% t(eta(A),difference(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))),
% difference(eta(A),difference(j(eta(A)),quotient(difference(B,
% difference(j(B),
% quotient(t(B,C),
% j(B)))),j(eta(A)))))))
% <->
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))),
% j(C)))),B),eta(A))
% Rule [925]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,t(eta(B),
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% eta(B)),
% j(C)))))),
% j(A)))),C),eta(B)) <->
% difference(quotient(difference(j(eta(B)),quotient(C,j(eta(B)))),eta(B)),
% quotient(difference(j(eta(B)),quotient(difference(C,difference(j(C),
% quotient(t(C,A),
% j(C)))),j(eta(B)))),
% eta(B))) is composed into [925]
% quotient(quotient(difference(A,difference(
% j(A),quotient(
% t(A,
% t(
% eta(B),
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% eta(B)),
% j(C)))))),
% j(A)))),C),
% eta(B)) <->
% difference(quotient(quotient(difference(
% j(eta(B)),C),
% j(eta(B))),eta(B)),
% quotient(quotient(difference(j(eta(B)),
% difference(C,difference(
% j(C),quotient(
% t(C,A),
% j(C))))),
% j(eta(B))),eta(B)))
% Rule [920]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,
% difference(j(B),
% quotient(t(B,
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(A,
% quotient(
% quotient(B,
% j(A)),
% j(j(A))))),
% j(C)))),B)),
% j(B))))),j(A)))),
% i(A)) <->
% difference(i(A),quotient(difference(j(eta(A)),quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B)))),
% j(eta(A)))),eta(A))) is composed into
% [920]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(A,
% quotient(
% quotient(B,
% j(A)),
% j(
% j(A))))),
% j(C)))),B)),
% j(B))))),
% j(A)))),i(A)) <->
% difference(i(A),quotient(quotient(difference(j(eta(A)),difference(B,difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(eta(A))),eta(A)))
% Rule [911]
% difference(difference(eta(A),difference(quotient(eta(A),j(eta(A))),
% difference(j(quotient(eta(A),j(eta(A)))),
% quotient(t(quotient(eta(A),j(eta(A))),B),
% j(quotient(eta(A),j(eta(A)))))))),difference(
% j(
% difference(
% eta(A),
% difference(
% quotient(
% eta(A),
% j(
% eta(A))),
% difference(
% j(
% quotient(
% eta(A),
% j(
% eta(A)))),
% quotient(
% t(
% quotient(
% eta(A),
% j(
% eta(A))),B),
% j(
% quotient(
% eta(A),
% j(
% eta(A))))))))),
% quotient(
% t(
% difference(
% eta(A),
% difference(
% quotient(
% eta(A),
% j(
% eta(A))),
% difference(
% j(
% quotient(
% eta(A),
% j(
% eta(A)))),
% quotient(
% t(
% quotient(
% eta(A),
% j(
% eta(A))),B),
% j(
% quotient(
% eta(A),
% j(
% eta(A)))))))),
% t(
% eta(A),C)),
% j(
% difference(
% eta(A),
% difference(
% quotient(
% eta(A),
% j(
% eta(A))),
% difference(
% j(
% quotient(
% eta(A),
% j(
% eta(A)))),
% quotient(
% t(
% quotient(
% eta(A),
% j(
% eta(A))),B),
% j(
% quotient(
% eta(A),
% j(
% eta(A))))))))))))
% ->
% t(eta(A),difference(B,difference(j(B),quotient(t(B,quotient(difference(
% j(eta(A)),
% quotient(C,
% j(eta(A)))),
% eta(A))),j(B))))) is composed into
% [911]
% difference(difference(eta(A),difference(quotient(eta(A),j(eta(A))),difference(
% j(
% quotient(
% eta(A),
% j(
% eta(A)))),
% quotient(
% t(
% quotient(
% eta(A),
% j(
% eta(A))),B),
% j(
% quotient(
% eta(A),
% j(
% eta(A)))))))),
% difference(j(difference(eta(A),difference(quotient(eta(A),j(eta(A))),
% difference(j(quotient(eta(A),j(eta(A)))),
% quotient(t(quotient(eta(A),j(eta(A))),B),
% j(quotient(eta(A),j(eta(A))))))))),quotient(
% t(difference(
% eta(A),
% difference(
% quotient(
% eta(A),
% j(
% eta(A))),
% difference(
% j(
% quotient(
% eta(A),
% j(
% eta(A)))),
% quotient(
% t(
% quotient(
% eta(A),
% j(
% eta(A))),B),
% j(
% quotient(
% eta(A),
% j(
% eta(A)))))))),
% t(eta(A),C)),
% j(difference(
% eta(A),
% difference(
% quotient(
% eta(A),
% j(
% eta(A))),
% difference(
% j(
% quotient(
% eta(A),
% j(
% eta(A)))),
% quotient(
% t(
% quotient(
% eta(A),
% j(
% eta(A))),B),
% j(
% quotient(
% eta(A),
% j(
% eta(A))))))))))))
% ->
% t(eta(A),difference(B,difference(j(B),quotient(t(B,quotient(quotient(
% difference(
% j(eta(A)),C),
% j(eta(A))),
% eta(A))),j(B)))))
% Rule [883]
% quotient(difference(B,difference(difference(j(B),j(j(B))),difference(
% j(difference(
% j(B),
% j(j(B)))),
% quotient(
% t(difference(
% j(B),
% j(j(B))),
% eta(A)),
% j(difference(
% j(B),
% j(j(B)))))))),
% eta(A)) <->
% quotient(t(B,quotient(difference(j(eta(A)),quotient(B,j(eta(A)))),
% eta(A))),eta(A)) is composed into [883]
% quotient(difference(B,
% difference(
% difference(
% j(B),j(j(B))),
% difference(
% j(difference(
% j(B),j(j(B)))),
% quotient(
% t(difference(
% j(B),j(j(B))),
% eta(A)),
% j(difference(
% j(B),j(j(B)))))))),
% eta(A)) <->
% quotient(t(B,quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))),
% eta(A))
% Rule [876]
% quotient(difference(B,difference(C,difference(j(C),quotient(t(C,i(i(A))),
% j(C))))),i(i(A))) <->
% difference(quotient(difference(j(eta(A)),quotient(difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),eta(A)),quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),
% j(eta(A)))),
% eta(A))) is composed into
% [876]
% quotient(difference(B,difference(C,difference(j(C),quotient(t(C,i(i(A))),
% j(C))))),i(i(A))) <->
% difference(quotient(quotient(difference(j(eta(A)),difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(eta(A))),eta(A)),quotient(quotient(difference(j(eta(A)),
% difference(A,
% difference(j(A),
% quotient(t(A,C),
% j(A))))),j(eta(A))),
% eta(A)))
% Rule [856]
% t(i(i(A)),difference(B,difference(j(B),quotient(t(B,i(i(A))),j(B)))))
% <->
% difference(i(i(A)),difference(quotient(difference(j(eta(A)),quotient(
% quotient(A,
% i(A)),
% j(eta(A)))),
% eta(A)),difference(j(quotient(difference(
% j(eta(A)),
% quotient(
% quotient(A,
% i(A)),
% j(eta(A)))),
% eta(A))),quotient(
% t(quotient(
% difference(
% j(
% eta(A)),
% quotient(
% quotient(A,
% i(A)),
% j(
% eta(A)))),
% eta(A)),B),
% j(quotient(
% difference(
% j(
% eta(A)),
% quotient(
% quotient(A,
% i(A)),
% j(
% eta(A)))),
% eta(A))))))) is composed into
% [856]
% t(i(i(A)),difference(B,difference(j(B),quotient(t(B,i(i(A))),j(B))))) <->
% difference(i(i(A)),difference(quotient(quotient(difference(j(eta(A)),
% quotient(A,i(A))),j(eta(A))),
% eta(A)),difference(j(quotient(quotient(
% difference(
% j(eta(A)),
% quotient(A,
% i(A))),j(eta(A))),
% eta(A))),quotient(
% t(quotient(
% quotient(
% difference(
% j(eta(A)),
% quotient(A,
% i(A))),
% j(eta(A))),
% eta(A)),B),
% j(quotient(
% quotient(
% difference(
% j(eta(A)),
% quotient(A,
% i(A))),
% j(eta(A))),
% eta(A)))))))
% Rule [823]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(difference(A,difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),quotient(
% t(B,eta(A)),
% j(B))))),
% j(A)))),difference(j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A)))),C),
% j(difference(A,difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A)))))))))
% <->
% quotient(quotient(difference(j(eta(A)),quotient(difference(C,difference(
% j(C),
% quotient(
% t(C,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))),
% j(eta(A)))),eta(A)),difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))) is composed into
% [823]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A)))),
% difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A)))))))))
% <->
% quotient(quotient(quotient(difference(j(eta(A)),difference(C,difference(
% j(C),quotient(
% t(C,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C))))),
% j(eta(A))),eta(A)),difference(A,difference(j(A),quotient(
% t(A,B),
% j(A)))))
% Rule [775]
% difference(difference(B,difference(j(B),quotient(t(B,C),j(B)))),
% difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),quotient(
% t(C,
% i(i(A))),
% j(C))))),
% j(B))))) <->
% quotient(quotient(quotient(difference(j(eta(A)),quotient(difference(A,
% difference(
% j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),
% j(eta(A)))),eta(A)),C),B) is composed into
% [775]
% difference(difference(B,difference(j(B),quotient(t(B,C),j(B)))),difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% i(
% i(A))),
% j(C))))),
% j(B))))) <->
% quotient(quotient(quotient(quotient(difference(j(eta(A)),difference(A,
% difference(j(A),
% quotient(t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),j(eta(A))),
% eta(A)),C),B)
% Rule [771]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,
% difference(j(C),
% quotient(t(C,i(i(A))),
% j(C))))),j(B)))),
% i(i(A))) <->
% difference(i(i(A)),difference(quotient(difference(j(eta(A)),quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A)),difference(j(quotient(difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A))),quotient(
% t(quotient(
% difference(
% j(
% eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(
% eta(A)))),
% eta(A)),C),
% j(quotient(
% difference(
% j(
% eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(
% eta(A)))),
% eta(A))))))) is composed into
% [771]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,i(i(A))),
% j(C))))),
% j(B)))),i(i(A))) <->
% difference(i(i(A)),difference(quotient(quotient(difference(j(eta(A)),
% difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(eta(A))),eta(A)),difference(
% j(quotient(
% quotient(
% difference(
% j(eta(A)),
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(eta(A))),
% eta(A))),
% quotient(t(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(
% eta(A))),
% eta(A)),C),
% j(quotient(
% quotient(
% difference(
% j(eta(A)),
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(eta(A))),
% eta(A)))))))
% Rule [757]
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(j(B),
% quotient(t(B,
% t(eta(C),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% eta(C)),
% j(A)))))),
% j(B)))),A)),j(A))))
% <->
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% quotient(
% difference(
% j(eta(C)),
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C)))),
% j(eta(C)))),
% eta(C))),
% j(B)))),A)),
% j(A)))),C) is composed into
% [757]
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,t(
% eta(C),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% eta(C)),
% j(A)))))),
% j(B)))),A)),
% j(A)))) <->
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% quotient(
% quotient(
% difference(
% j(eta(C)),
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(eta(C))),
% eta(C))),
% j(B)))),A)),
% j(A)))),C)
% Rule [724]
% t(eta(A),difference(difference(B,difference(j(B),quotient(t(B,eta(A)),
% j(B)))),difference(
% j(difference(B,
% difference(
% j(B),
% quotient(
% t(B,eta(A)),
% j(B))))),
% quotient(
% t(difference(B,
% difference(
% j(B),
% quotient(
% t(B,eta(A)),
% j(B)))),C),
% j(difference(B,
% difference(
% j(B),
% quotient(
% t(B,eta(A)),
% j(B)))))))))
% ->
% t(eta(A),difference(B,difference(j(B),quotient(t(B,quotient(difference(
% j(eta(A)),
% quotient(C,
% j(eta(A)))),
% eta(A))),j(B))))) is composed into
% [724]
% t(eta(A),difference(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))),
% difference(j(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B))))),
% quotient(t(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))),C),
% j(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B))))))))) ->
% t(eta(A),difference(B,difference(j(B),quotient(t(B,quotient(quotient(
% difference(
% j(eta(A)),C),
% j(eta(A))),
% eta(A))),j(B)))))
% Rule [722]
% difference(i(A),difference(eta(A),difference(j(eta(A)),quotient(
% i(i(t(eta(A),B))),
% j(eta(A)))))) <->
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(difference(
% j(eta(B)),
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% i(A)),
% j(B)))),
% j(eta(B)))),
% eta(B))),j(A)))),
% i(A)) is composed into [722]
% difference(i(A),difference(eta(A),difference(
% j(eta(A)),
% quotient(
% i(i(t(eta(A),B))),
% j(eta(A))))))
% <->
% quotient(difference(A,difference(j(A),quotient(
% t(A,
% quotient(
% quotient(
% difference(
% j(eta(B)),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% i(A)),
% j(B))))),
% j(eta(B))),
% eta(B))),
% j(A)))),
% i(A))
% Rule [716]
% t(eta(A),quotient(quotient(difference(A,difference(B,difference(
% j(B),quotient(
% t(B,eta(A)),
% j(B))))),A),
% j(A))) <->
% quotient(difference(j(eta(A)),quotient(quotient(quotient(difference(A,B),A),
% j(A)),j(eta(A)))),eta(A)) is composed into
% [716]
% t(eta(A),quotient(quotient(difference(A,difference(B,difference(j(B),
% quotient(t(B,eta(A)),
% j(B))))),A),j(A))) <->
% quotient(quotient(difference(j(eta(A)),quotient(quotient(difference(A,B),A),
% j(A))),j(eta(A))),eta(A))
% Rule [709]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,
% difference(j(B),
% quotient(t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% eta(B)),
% j(C))))),
% j(B))))),j(A)))),
% eta(B)) <->
% difference(eta(B),difference(quotient(difference(j(eta(B)),quotient(A,
% j(eta(B)))),
% eta(B)),difference(j(quotient(difference(
% j(eta(B)),
% quotient(A,
% j(eta(B)))),
% eta(B))),quotient(
% t(quotient(
% difference(
% j(eta(B)),
% quotient(A,
% j(eta(B)))),
% eta(B)),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(quotient(
% difference(
% j(eta(B)),
% quotient(A,
% j(eta(B)))),
% eta(B))))))) is composed into
% [709]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% eta(B)),
% j(C))))),
% j(B))))),
% j(A)))),eta(B)) <->
% difference(eta(B),difference(quotient(quotient(difference(j(eta(B)),A),
% j(eta(B))),eta(B)),difference(j(
% quotient(
% quotient(
% difference(
% j(
% eta(B)),A),
% j(
% eta(B))),
% eta(B))),
% quotient(t(quotient(
% quotient(
% difference(
% j(
% eta(B)),A),
% j(
% eta(B))),
% eta(B)),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(quotient(quotient(
% difference(
% j(
% eta(B)),A),
% j(
% eta(B))),
% eta(B)))))))
% Rule [685]
% quotient(quotient(quotient(difference(j(A),difference(B,difference(
% j(B),quotient(
% t(B,
% j(A)),
% j(B))))),
% j(A)),j(j(A))),j(A)) <->
% difference(j(A),quotient(difference(j(eta(A)),quotient(B,j(eta(A)))),
% eta(A))) is composed into [685]
% quotient(quotient(quotient(
% difference(
% j(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% j(A)),
% j(B))))),
% j(A)),
% j(j(A))),j(A)) <->
% difference(j(A),quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A)))
% New rule produced :
% [995]
% quotient(difference(j(eta(A)),quotient(B,j(eta(A)))),eta(A)) ->
% quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A))
% Rule
% [655]
% quotient(quotient(difference(j(eta(A)),quotient(B,j(eta(A)))),eta(A)),B) ->
% eta(A) collapsed.
% Rule
% [668]
% i(quotient(difference(j(eta(B)),quotient(A,j(eta(B)))),eta(B))) ->
% quotient(i(A),eta(B)) collapsed.
% Rule
% [682]
% difference(difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A)))),
% difference(A,difference(j(A),quotient(t(A,quotient(difference(j(eta(B)),
% quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% eta(A)),
% j(B)))),
% j(eta(B)))),eta(B))),
% j(A))))) -> eta(A) collapsed.
% Rule
% [686]
% difference(j(A),quotient(difference(j(eta(A)),quotient(B,j(eta(A)))),eta(A)))
% <->
% quotient(quotient(quotient(difference(j(A),difference(B,difference(j(B),
% quotient(t(B,j(A)),
% j(B))))),j(A)),
% j(j(A))),j(A)) collapsed.
% Rule
% [689]
% quotient(difference(j(eta(A)),quotient(difference(B,difference(j(B),quotient(
% t(B,C),
% j(B)))),
% j(eta(A)))),eta(A)) <->
% t(eta(A),difference(B,difference(j(B),quotient(t(B,quotient(difference(C,
% difference(
% j(C),quotient(
% t(C,
% quotient(
% difference(
% j(eta(A)),
% quotient(B,
% j(eta(A)))),
% eta(A))),
% j(C)))),B)),
% j(B))))) collapsed.
% Rule
% [690]
% t(eta(A),difference(B,difference(j(B),quotient(t(B,quotient(difference(C,
% difference(
% j(C),quotient(
% t(C,
% quotient(
% difference(
% j(eta(A)),
% quotient(B,
% j(eta(A)))),
% eta(A))),
% j(C)))),B)),
% j(B))))) <->
% quotient(difference(j(eta(A)),quotient(difference(B,difference(j(B),quotient(
% t(B,C),
% j(B)))),
% j(eta(A)))),eta(A)) collapsed.
% Rule
% [692]
% difference(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),
% difference(A,difference(j(A),quotient(t(A,t(eta(B),quotient(difference(
% j(eta(A)),
% quotient(
% eta(B),j(eta(A)))),
% eta(A)))),j(A))))) ->
% eta(A) collapsed.
% Rule
% [710]
% difference(eta(B),difference(quotient(difference(j(eta(B)),quotient(A,
% j(eta(B)))),
% eta(B)),difference(j(quotient(difference(
% j(eta(B)),
% quotient(A,
% j(eta(B)))),
% eta(B))),quotient(t(
% quotient(
% difference(
% j(
% eta(B)),
% quotient(A,
% j(
% eta(B)))),
% eta(B)),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(quotient(
% difference(
% j(eta(B)),
% quotient(A,
% j(eta(B)))),
% eta(B))))))) <->
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% eta(B)),
% j(C))))),
% j(B))))),
% j(A)))),eta(B)) collapsed.
% Rule
% [717]
% quotient(difference(j(eta(A)),quotient(quotient(quotient(difference(A,B),A),
% j(A)),j(eta(A)))),eta(A)) <->
% t(eta(A),quotient(quotient(difference(A,difference(B,difference(j(B),
% quotient(t(B,eta(A)),
% j(B))))),A),j(A)))
% collapsed.
% Rule
% [721]
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(difference(
% j(eta(B)),
% quotient(
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% i(A)),
% j(B)))),
% j(eta(B)))),
% eta(B))),j(A)))),i(A)) <->
% difference(i(A),difference(eta(A),difference(j(eta(A)),quotient(i(i(t(
% eta(A),B))),
% j(eta(A))))))
% collapsed.
% Rule
% [731]
% difference(quotient(difference(j(eta(A)),quotient(B,j(eta(A)))),eta(A)),
% t(eta(A),difference(C,difference(j(C),quotient(t(C,eta(A)),j(C)))))) ->
% quotient(difference(B,difference(C,difference(j(C),quotient(t(C,eta(A)),j(C))))),
% eta(A)) collapsed.
% Rule
% [755]
% difference(quotient(difference(j(eta(A)),quotient(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),eta(A)),quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A)))),
% j(eta(A)))),
% eta(A))) ->
% eta(A) collapsed.
% Rule
% [758]
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% quotient(
% difference(
% j(eta(C)),
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C)))),
% j(eta(C)))),
% eta(C))),
% j(B)))),A)),
% j(A)))),C) <->
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,t(
% eta(C),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% eta(C)),
% j(A)))))),
% j(B)))),A)),
% j(A)))) collapsed.
% Rule
% [760]
% t(eta(A),quotient(quotient(difference(j(eta(B)),quotient(difference(B,
% difference(j(B),
% quotient(t(B,C),
% j(B)))),j(eta(B)))),
% eta(B)),C)) -> i(i(t(eta(A),B))) collapsed.
% Rule
% [761]
% quotient(quotient(difference(A,quotient(difference(j(eta(A)),quotient(
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),j(j(A))),
% j(eta(A)))),
% eta(A))),A),j(A)) ->
% quotient(quotient(B,A),j(A)) collapsed.
% Rule
% [769]
% quotient(quotient(difference(j(eta(A)),quotient(B,j(eta(A)))),eta(A)),eta(A))
% -> t(eta(A),B) collapsed.
% Rule
% [772]
% difference(i(i(A)),difference(quotient(difference(j(eta(A)),quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A)),difference(j(quotient(difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A))),quotient(
% t(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A)),C),
% j(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A)))))))
% <->
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,i(i(A))),
% j(C))))),
% j(B)))),i(i(A))) collapsed.
% Rule
% [776]
% quotient(quotient(quotient(difference(j(eta(A)),quotient(difference(A,
% difference(j(A),
% quotient(t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),j(eta(A)))),
% eta(A)),C),B) <->
% difference(difference(B,difference(j(B),quotient(t(B,C),j(B)))),difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% i(
% i(A))),
% j(C))))),
% j(B)))))
% collapsed.
% Rule
% [786]
% quotient(quotient(difference(j(eta(A)),quotient(B,j(eta(A)))),eta(A)),
% difference(A,B)) -> i(i(A)) collapsed.
% Rule
% [789]
% difference(i(i(A)),quotient(difference(j(eta(A)),quotient(B,j(eta(A)))),
% eta(A))) -> difference(A,B) collapsed.
% Rule
% [791]
% quotient(difference(j(eta(A)),quotient(difference(j(j(A)),B),j(eta(A)))),
% eta(A)) -> difference(A,B) collapsed.
% Rule
% [796]
% quotient(quotient(difference(j(eta(A)),quotient(difference(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))))))),
% j(eta(A)))),eta(A)),quotient(difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A))
% -> i(i(A)) collapsed.
% Rule
% [803]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% quotient(
% difference(
% j(
% eta(A)),
% quotient(B,
% j(
% eta(A)))),
% eta(A))),
% j(C)))),B)),
% j(B))))),
% j(A)))),eta(A)) ->
% difference(A,difference(j(A),quotient(t(A,difference(B,difference(j(B),
% quotient(t(B,C),
% j(B))))),j(A))))
% collapsed.
% Rule
% [821]
% quotient(quotient(difference(j(eta(A)),quotient(difference(C,difference(
% j(C),quotient(
% t(C,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))),
% j(eta(A)))),eta(A)),difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))) <->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A)))),
% difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A)))))))))
% collapsed.
% Rule
% [824]
% quotient(difference(i(difference(A,B)),quotient(difference(j(eta(A)),
% quotient(difference(A,B),
% j(eta(A)))),eta(A))),
% difference(A,B)) ->
% difference(A,difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))))
% collapsed.
% Rule
% [857]
% difference(i(i(A)),difference(quotient(difference(j(eta(A)),quotient(
% quotient(A,
% i(A)),j(eta(A)))),
% eta(A)),difference(j(quotient(difference(
% j(eta(A)),
% quotient(
% quotient(A,
% i(A)),j(eta(A)))),
% eta(A))),quotient(
% t(quotient(
% difference(
% j(eta(A)),
% quotient(
% quotient(A,
% i(A)),j(eta(A)))),
% eta(A)),B),
% j(quotient(
% difference(
% j(eta(A)),
% quotient(
% quotient(A,
% i(A)),j(eta(A)))),
% eta(A)))))))
% <-> t(i(i(A)),difference(B,difference(j(B),quotient(t(B,i(i(A))),j(B)))))
% collapsed.
% Rule
% [864]
% quotient(quotient(difference(j(eta(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A)))))),
% quotient(difference(A,difference(j(A),quotient(t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A)))),j(eta(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))),
% eta(difference(A,difference(j(A),quotient(t(A,B),j(A)))))),C) ->
% i(i(difference(A,difference(j(A),quotient(t(A,B),j(A)))))) collapsed.
% Rule
% [877]
% difference(quotient(difference(j(eta(A)),quotient(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),eta(A)),quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,C),
% j(A)))),
% j(eta(A)))),
% eta(A))) <->
% quotient(difference(B,difference(C,difference(j(C),quotient(t(C,i(i(A))),
% j(C))))),i(i(A)))
% collapsed.
% Rule
% [882]
% quotient(t(B,quotient(difference(j(eta(A)),quotient(B,j(eta(A)))),eta(A))),
% eta(A)) <->
% quotient(difference(B,difference(difference(j(B),j(j(B))),difference(
% j(difference(
% j(B),j(j(B)))),
% quotient(t(
% difference(
% j(B),
% j(
% j(B))),
% eta(A)),
% j(difference(
% j(B),j(j(B)))))))),
% eta(A)) collapsed.
% Rule
% [899]
% difference(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),difference(A,difference(
% j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% quotient(
% difference(
% j(eta(A)),
% quotient(B,
% j(eta(A)))),
% eta(A))),
% j(C)))),B)),
% j(B))))),
% j(A))))) ->
% eta(A) collapsed.
% Rule
% [901]
% difference(quotient(difference(j(eta(B)),quotient(A,j(eta(B)))),eta(B)),
% i(i(B))) -> quotient(difference(A,j(j(B))),eta(B)) collapsed.
% Rule
% [912]
% difference(eta(A),quotient(quotient(difference(j(eta(A)),quotient(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% eta(A),
% j(eta(A)))),
% j(A)))),
% j(eta(A)))),
% eta(A)),A)) ->
% t(j(j(A)),quotient(eta(A),j(eta(A)))) collapsed.
% Rule
% [913]
% difference(i(i(A)),difference(quotient(difference(j(eta(A)),quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A)),difference(j(quotient(difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A))),quotient(
% t(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A)),
% quotient(C,
% i(i(A)))),
% j(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A))))))) ->
% quotient(difference(B,difference(j(B),quotient(t(B,C),j(B)))),i(i(A)))
% collapsed.
% Rule
% [915]
% quotient(difference(difference(i(i(A)),difference(quotient(difference(
% j(eta(A)),
% quotient(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A)),difference(
% j(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A))),
% quotient(t(
% quotient(
% difference(
% j(
% eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(
% eta(A)))),
% eta(A)),C),
% j(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A))))))),
% difference(j(difference(i(i(A)),difference(quotient(difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A)),difference(
% j(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A))),
% quotient(
% t(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A)),C),
% j(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A)))))))),
% quotient(t(difference(i(i(A)),difference(quotient(difference(
% j(eta(A)),
% quotient(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A)),difference(
% j(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A))),
% quotient(t(
% quotient(
% difference(
% j(
% eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(
% eta(A)))),
% eta(A)),C),
% j(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A))))))),x2),
% j(difference(i(i(A)),difference(quotient(difference(j(eta(A)),
% quotient(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),eta(A)),
% difference(j(quotient(difference(j(eta(A)),
% quotient(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),eta(A))),
% quotient(t(quotient(difference(j(eta(A)),
% quotient(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),eta(A)),C),
% j(quotient(difference(j(eta(A)),quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A))))))))))),quotient(difference(
% i(i(A)),difference(x2,
% difference(
% j(x2),
% quotient(
% t(x2,
% difference(
% i(i(A)),
% difference(
% quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A)),
% difference(
% j(quotient(
% difference(
% j(
% eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(
% eta(A)))),
% eta(A))),
% quotient(
% t(quotient(
% difference(
% j(
% eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(
% eta(A)))),
% eta(A)),C),
% j(quotient(
% difference(
% j(
% eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(
% eta(A)))),
% eta(A)))))))),
% j(x2))))),
% difference(i(i(A)),difference(
% quotient(
% difference(
% j(
% eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(
% eta(A)))),
% eta(A)),
% difference(
% j(
% quotient(
% difference(
% j(
% eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(
% eta(A)))),
% eta(A))),
% quotient(
% t(
% quotient(
% difference(
% j(
% eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(
% eta(A)))),
% eta(A)),C),
% j(
% quotient(
% difference(
% j(
% eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(
% eta(A)))),
% eta(A)))))))))
% ->
% difference(B,difference(j(B),quotient(t(B,difference(C,difference(j(C),
% quotient(t(C,i(i(A))),
% j(C))))),j(B))))
% collapsed.
% Rule
% [917]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(quotient(
% difference(
% j(eta(A)),
% quotient(B,
% j(eta(A)))),
% eta(A)),
% difference(j(quotient(
% difference(
% j(eta(A)),
% quotient(B,
% j(eta(A)))),
% eta(A))),
% quotient(t(quotient(
% difference(
% j(eta(A)),
% quotient(B,
% j(eta(A)))),
% eta(A)),C),
% j(quotient(difference(
% j(eta(A)),
% quotient(B,
% j(eta(A)))),
% eta(A))))))),j(A)))),
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,eta(A)),
% j(C))))),
% j(B)))),eta(A))) -> j(j(A)) collapsed.
% Rule
% [918]
% quotient(quotient(difference(j(eta(A)),quotient(B,j(eta(A)))),eta(A)),
% i(i(A))) -> t(i(i(A)),difference(A,B)) collapsed.
% Rule
% [919]
% difference(i(A),quotient(difference(j(eta(A)),quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))),
% j(eta(A)))),eta(A))) <->
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(A,
% quotient(
% quotient(B,
% j(A)),
% j(
% j(A))))),
% j(C)))),B)),
% j(B))))),
% j(A)))),i(A)) collapsed.
% Rule
% [924]
% difference(quotient(difference(j(eta(B)),quotient(C,j(eta(B)))),eta(B)),
% quotient(difference(j(eta(B)),quotient(difference(C,difference(j(C),quotient(
% t(C,A),
% j(C)))),
% j(eta(B)))),eta(B))) <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,t(eta(B),
% difference(C,
% difference(
% j(C),quotient(
% t(C,
% eta(B)),
% j(C)))))),
% j(A)))),C),eta(B)) collapsed.
% Rule
% [927]
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,quotient(
% difference(
% j(eta(A)),
% quotient(B,
% j(eta(A)))),
% eta(A))),
% j(C)))),B),eta(A)) <->
% t(eta(A),difference(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))),
% difference(eta(A),difference(j(eta(A)),quotient(difference(B,
% difference(j(B),
% quotient(t(B,C),
% j(B)))),j(eta(A)))))))
% collapsed.
% Rule
% [928]
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,quotient(
% difference(
% j(eta(A)),
% quotient(B,
% j(eta(A)))),
% eta(A))),
% j(C)))),B),eta(A)) <->
% difference(quotient(difference(j(eta(A)),quotient(B,j(eta(A)))),eta(A)),
% t(eta(A),difference(B,difference(j(B),quotient(t(B,quotient(difference(C,
% difference(
% j(C),quotient(
% t(C,
% t(eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B)))))),
% j(C)))),B)),
% j(B)))))) collapsed.
% Rule
% [931]
% difference(quotient(difference(j(eta(A)),quotient(B,j(eta(A)))),eta(A)),
% t(eta(A),difference(B,difference(j(B),quotient(t(B,quotient(difference(C,
% difference(
% j(C),quotient(
% t(C,
% t(eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B)))))),
% j(C)))),B)),
% j(B)))))) <->
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,quotient(
% difference(
% j(eta(A)),
% quotient(B,
% j(eta(A)))),
% eta(A))),
% j(C)))),B),eta(A)) collapsed.
% Rule
% [983]
% quotient(quotient(difference(j(eta(t(eta(A),B))),quotient(t(eta(A),difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(eta(t(eta(A),B))))),
% eta(t(eta(A),B))),t(eta(A),C)) -> i(i(t(eta(A),B))) collapsed.
% Rule
% [987]
% difference(quotient(difference(j(eta(A)),quotient(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),eta(A)),difference(
% j(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A))),
% quotient(
% t(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A)),C),
% j(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A))))))
% <->
% quotient(difference(j(eta(A)),quotient(difference(A,difference(j(A),quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% i(
% i(A))),
% j(C))))),
% j(B)))),
% i(
% i(A)))),
% j(A)))),
% j(eta(A)))),eta(A)) collapsed.
% Rule
% [988]
% quotient(difference(j(eta(A)),quotient(difference(A,difference(j(A),quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% i(
% i(A))),
% j(C))))),
% j(B)))),
% i(
% i(A)))),
% j(A)))),
% j(eta(A)))),eta(A)) <->
% difference(quotient(difference(j(eta(A)),quotient(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),eta(A)),difference(
% j(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A))),
% quotient(
% t(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A)),C),
% j(quotient(
% difference(
% j(eta(A)),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))),
% eta(A))))))
% collapsed.
% Rule
% [992]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,i(A)),
% j(B))))),
% j(A)))),difference(i(A),quotient(
% difference(
% j(eta(A)),
% quotient(B,
% j(eta(A)))),
% eta(A)))) ->
% t(quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,
% i(A)),
% j(B))))),
% j(A)))),i(A)),i(A)) collapsed.
% Rule
% [994]
% difference(i(A),quotient(difference(j(eta(A)),quotient(eta(B),j(eta(A)))),
% eta(A))) ->
% quotient(difference(A,difference(j(A),quotient(t(A,t(eta(B),quotient(
% difference(
% j(eta(A)),
% quotient(
% quotient(
% quotient(
% difference(A,
% eta(B)),A),
% j(A)),j(eta(A)))),
% eta(A)))),
% j(A)))),i(A)) collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% quotient(quotient(difference(j(eta(x0)),quotient(difference(i(x1),quotient(
% difference(
% j(x2),
% j(j(x2))),
% quotient(
% difference(x1,
% difference(
% j(x2),
% j(j(x2)))),x2))),x1)),
% j(eta(x0))),eta(x0)) = t(eta(x0),difference(x1,difference(j(x1),
% quotient(t(x1,
% quotient(
% difference(
% j(x2),
% j(j(x2))),
% quotient(
% difference(
% eta(x0),
% difference(
% j(x2),
% j(j(x2)))),x2))),
% j(x1)))))
%
% Current number of equations to process: 577
% Current number of ordered equations: 455
% Current number of rules: 548
% New rule produced :
% [996]
% i(quotient(quotient(difference(j(eta(B)),A),j(eta(B))),eta(B))) ->
% quotient(i(A),eta(B))
% Current number of equations to process: 576
% Current number of ordered equations: 455
% Current number of rules: 549
% New rule produced :
% [997]
% quotient(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),
% difference(A,B)) -> i(i(A))
% Current number of equations to process: 575
% Current number of ordered equations: 455
% Current number of rules: 550
% New rule produced :
% [998]
% difference(i(i(A)),quotient(quotient(difference(j(eta(A)),B),j(eta(A))),
% eta(A))) -> difference(A,B)
% Current number of equations to process: 574
% Current number of ordered equations: 455
% Current number of rules: 551
% New rule produced :
% [999]
% quotient(quotient(difference(j(eta(A)),difference(j(j(A)),B)),j(eta(A))),
% eta(A)) -> difference(A,B)
% Current number of equations to process: 573
% Current number of ordered equations: 455
% Current number of rules: 552
% New rule produced :
% [1000]
% quotient(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),
% i(i(A))) -> t(i(i(A)),difference(A,B))
% Current number of equations to process: 572
% Current number of ordered equations: 455
% Current number of rules: 553
% New rule produced :
% [1001]
% difference(quotient(quotient(difference(j(eta(B)),A),j(eta(B))),eta(B)),
% i(i(B))) -> quotient(difference(A,j(j(B))),eta(B))
% Current number of equations to process: 571
% Current number of ordered equations: 455
% Current number of rules: 554
% New rule produced :
% [1002]
% 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: 571
% Current number of ordered equations: 454
% Current number of rules: 555
% New rule produced :
% [1003]
% i(difference(A,difference(j(A),quotient(t(A,t(quotient(eta(A),B),B)),j(A)))))
% -> quotient(quotient(eta(A),B),A)
% Current number of equations to process: 571
% Current number of ordered equations: 453
% Current number of rules: 556
% New rule produced : [1004] quotient(j(eta(A)),j(j(j(A)))) -> t(j(j(j(A))),A)
% Current number of equations to process: 570
% Current number of ordered equations: 453
% Current number of rules: 557
% New rule produced :
% [1005]
% quotient(quotient(difference(A,quotient(quotient(i(B),j(A)),j(j(A)))),j(B)),
% j(j(B))) -> quotient(i(A),B)
% Current number of equations to process: 570
% Current number of ordered equations: 452
% Current number of rules: 558
% New rule produced :
% [1006]
% quotient(difference(A,quotient(t(j(A),B),j(j(A)))),quotient(quotient(
% difference(A,B),A),
% j(A))) -> i(A)
% Current number of equations to process: 570
% Current number of ordered equations: 451
% Current number of rules: 559
% New rule produced :
% [1007]
% difference(t(t(i(A),B),i(A)),difference(A,quotient(quotient(B,j(A)),j(j(A)))))
% -> t(i(A),B)
% Current number of equations to process: 570
% Current number of ordered equations: 449
% Current number of rules: 560
% New rule produced :
% [1008]
% quotient(quotient(difference(A,quotient(quotient(B,j(A)),j(j(A)))),j(A)),
% j(j(A))) -> quotient(t(i(A),B),A)
% Current number of equations to process: 572
% Current number of ordered equations: 446
% Current number of rules: 561
% New rule produced :
% [1009] difference(eta(A),difference(A,j(j(j(j(A)))))) -> t(i(A),j(eta(A)))
% Current number of equations to process: 571
% Current number of ordered equations: 446
% Current number of rules: 562
% New rule produced :
% [1010]
% quotient(quotient(quotient(j(j(j(A))),A),j(A)),j(A)) ->
% t(j(A),quotient(eta(A),j(eta(A))))
% Current number of equations to process: 570
% Current number of ordered equations: 446
% Current number of rules: 563
% New rule produced :
% [1011]
% t(eta(A),difference(B,quotient(difference(i(difference(eta(A),C)),C),
% difference(eta(A),C)))) <-> difference(t(eta(A),B),C)
% Current number of equations to process: 570
% Current number of ordered equations: 444
% Current number of rules: 564
% New rule produced :
% [1012]
% t(eta(B),difference(quotient(difference(i(difference(eta(B),A)),A),difference(
% eta(B),A)),C))
% -> difference(A,t(eta(B),C))
% Current number of equations to process: 570
% Current number of ordered equations: 440
% Current number of rules: 565
% New rule produced :
% [1013]
% difference(t(eta(A),B),C) <->
% t(eta(A),difference(B,quotient(difference(i(difference(eta(A),C)),C),
% difference(eta(A),C))))
% Current number of equations to process: 570
% Current number of ordered equations: 439
% Current number of rules: 566
% New rule produced :
% [1014]
% t(eta(A),quotient(B,quotient(difference(i(difference(eta(A),C)),C),difference(
% eta(A),C))))
% <-> quotient(t(eta(A),B),C)
% Current number of equations to process: 570
% Current number of ordered equations: 436
% Current number of rules: 567
% New rule produced :
% [1015]
% t(eta(B),quotient(quotient(difference(i(difference(eta(B),A)),A),difference(
% eta(B),A)),C))
% -> quotient(A,t(eta(B),C))
% Current number of equations to process: 570
% Current number of ordered equations: 433
% Current number of rules: 568
% New rule produced :
% [1016]
% quotient(t(eta(A),B),C) <->
% t(eta(A),quotient(B,quotient(difference(i(difference(eta(A),C)),C),difference(
% eta(A),C))))
% Current number of equations to process: 570
% Current number of ordered equations: 432
% Current number of rules: 569
% New rule produced :
% [1017]
% t(eta(A),quotient(difference(i(quotient(B,eta(A))),t(eta(A),B)),quotient(B,
% eta(A)))) ->
% t(eta(A),B)
% Current number of equations to process: 570
% Current number of ordered equations: 431
% Current number of rules: 570
% New rule produced :
% [1018]
% t(eta(A),t(B,quotient(difference(i(difference(eta(A),C)),C),difference(
% eta(A),C)))) <->
% t(t(eta(A),B),C)
% Current number of equations to process: 570
% Current number of ordered equations: 430
% Current number of rules: 571
% New rule produced :
% [1019]
% t(t(eta(A),B),C) <->
% t(eta(A),t(B,quotient(difference(i(difference(eta(A),C)),C),difference(
% eta(A),C))))
% Current number of equations to process: 570
% Current number of ordered equations: 429
% Current number of rules: 572
% New rule produced :
% [1020]
% t(eta(B),t(quotient(difference(i(difference(eta(B),A)),A),difference(
% eta(B),A)),C)) ->
% t(A,t(eta(B),C))
% Current number of equations to process: 570
% Current number of ordered equations: 428
% Current number of rules: 573
% New rule produced :
% [1021]
% t(i(A),difference(B,difference(j(B),quotient(t(B,j(A)),j(B))))) <->
% quotient(difference(A,quotient(B,j(j(A)))),i(A))
% Current number of equations to process: 566
% Current number of ordered equations: 427
% Current number of rules: 574
% New rule produced :
% [1022]
% quotient(difference(A,quotient(B,j(j(A)))),i(A)) <->
% t(i(A),difference(B,difference(j(B),quotient(t(B,j(A)),j(B)))))
% Current number of equations to process: 566
% Current number of ordered equations: 426
% Current number of rules: 575
% New rule produced :
% [1023] quotient(quotient(j(eta(A)),j(A)),j(j(A))) -> j(eta(A))
% Current number of equations to process: 564
% Current number of ordered equations: 426
% Current number of rules: 576
% New rule produced :
% [1024]
% quotient(difference(i(i(A)),j(eta(A))),i(A)) -> quotient(eta(A),j(eta(A)))
% Current number of equations to process: 563
% Current number of ordered equations: 426
% Current number of rules: 577
% New rule produced :
% [1025]
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),quotient(
% t(A,
% i(i(B))),
% j(A))))),
% j(C)))),i(i(B))),A) <->
% difference(difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A)))),
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(difference(
% j(eta(B)),
% difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(eta(B))),eta(B))),
% j(A)))))
% Current number of equations to process: 561
% Current number of ordered equations: 427
% Current number of rules: 578
% New rule produced :
% [1026]
% difference(difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A)))),
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(difference(
% j(eta(B)),
% difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(eta(B))),eta(B))),
% j(A))))) <->
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),quotient(
% t(A,
% i(i(B))),
% j(A))))),
% j(C)))),i(i(B))),A)
% Current number of equations to process: 561
% Current number of ordered equations: 426
% Current number of rules: 579
% New rule produced :
% [1027]
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),quotient(
% t(A,
% j(j(B))),
% j(A))))),
% j(C)))),j(j(B))),A) <->
% difference(difference(A,difference(j(A),quotient(t(A,j(j(B))),j(A)))),
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(difference(
% j(B),C),j(B)),
% j(j(B)))),j(A)))))
% Current number of equations to process: 561
% Current number of ordered equations: 425
% Current number of rules: 580
% New rule produced :
% [1028]
% difference(difference(A,difference(j(A),quotient(t(A,j(j(B))),j(A)))),
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(difference(
% j(B),C),j(B)),
% j(j(B)))),j(A))))) <->
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),quotient(
% t(A,
% j(j(B))),
% j(A))))),
% j(C)))),j(j(B))),A)
% Rule
% [683]
% difference(difference(A,difference(j(A),quotient(t(A,j(j(B))),j(A)))),
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(difference(
% j(B),eta(A)),
% j(B)),j(j(B)))),j(A)))))
% -> eta(A) collapsed.
% Current number of equations to process: 562
% Current number of ordered equations: 424
% Current number of rules: 580
% New rule produced :
% [1029]
% quotient(quotient(difference(quotient(difference(C,difference(j(C),quotient(
% t(C,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B),
% difference(j(quotient(difference(C,difference(j(C),
% quotient(t(C,difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B)),quotient(
% t(quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B))))),B),A)
% <->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,difference(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))),
% difference(
% j(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% quotient(
% t(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))),V_3),
% j(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))))))),
% j(A)))))
% Current number of equations to process: 562
% Current number of ordered equations: 423
% Current number of rules: 581
% New rule produced :
% [1030]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,difference(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))),
% difference(
% j(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% quotient(
% t(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))),V_3),
% j(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))))))),
% j(A))))) <->
% quotient(quotient(difference(quotient(difference(C,difference(j(C),quotient(
% t(C,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B),
% difference(j(quotient(difference(C,difference(j(C),
% quotient(t(C,difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B)),quotient(
% t(quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B))))),B),A)
% Current number of equations to process: 562
% Current number of ordered equations: 422
% Current number of rules: 582
% New rule produced :
% [1031]
% quotient(difference(C,difference(j(C),quotient(t(C,difference(V_3,difference(
% j(V_3),
% quotient(
% t(V_3,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(V_3))))),
% j(C)))),difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A))))) <->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A)))),
% difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A)))),V_3),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A)))))))))
% Current number of equations to process: 562
% Current number of ordered equations: 421
% Current number of rules: 583
% New rule produced :
% [1032]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A)))),
% difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A)))),V_3),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A)))))))))
% <->
% quotient(difference(C,difference(j(C),quotient(t(C,difference(V_3,difference(
% j(V_3),
% quotient(
% t(V_3,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(V_3))))),
% j(C)))),difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))))
% Current number of equations to process: 562
% Current number of ordered equations: 420
% Current number of rules: 584
% New rule produced :
% [1033]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C)))),
% difference(
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C))))),
% quotient(
% t(difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C)))),A),
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C))))))))),
% j(B)))),A)),
% j(A)))),V_3),C) <->
% difference(difference(C,difference(j(C),quotient(t(C,V_3),j(C)))),difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(V_3))))),
% j(C)))))
% Current number of equations to process: 562
% Current number of ordered equations: 419
% Current number of rules: 585
% New rule produced :
% [1034]
% difference(difference(C,difference(j(C),quotient(t(C,V_3),j(C)))),difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(V_3))))),
% j(C)))))
% <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C)))),
% difference(
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C))))),
% quotient(
% t(difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C)))),A),
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C))))))))),
% j(B)))),A)),
% j(A)))),V_3),C)
% Current number of equations to process: 562
% Current number of ordered equations: 418
% Current number of rules: 586
% New rule produced :
% [1035]
% difference(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A)))),difference(j(difference(A,
% difference(
% j(A),quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),quotient(
% t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A)))),V_3),
% j(difference(A,difference(
% j(A),quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A))))))))
% <->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(V_3))))),
% j(C)))),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% Current number of equations to process: 562
% Current number of ordered equations: 417
% Current number of rules: 587
% New rule produced :
% [1036]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(V_3))))),
% j(C)))),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% <->
% difference(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A)))),difference(j(difference(A,
% difference(
% j(A),quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),quotient(
% t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A)))),V_3),
% j(difference(A,difference(
% j(A),quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A))))))))
% Current number of equations to process: 562
% Current number of ordered equations: 416
% Current number of rules: 588
% New rule produced :
% [1037]
% t(eta(quotient(A,B)),quotient(difference(A,difference(j(A),quotient(t(A,
% eta(
% quotient(A,B))),
% j(A)))),j(
% j(
% quotient(A,B)))))
% -> t(i(i(quotient(A,B))),B)
% Current number of equations to process: 561
% Current number of ordered equations: 416
% Current number of rules: 589
% New rule produced :
% [1038]
% quotient(quotient(quotient(quotient(difference(j(A),difference(j(eta(A)),
% quotient(B,j(eta(A))))),
% j(A)),j(j(A))),eta(A)),j(j(j(j(A))))) ->
% t(j(j(j(j(A)))),B)
% Current number of equations to process: 560
% Current number of ordered equations: 416
% Current number of rules: 590
% New rule produced :
% [1039]
% difference(i(i(i(A))),quotient(quotient(difference(j(eta(A)),B),j(eta(A))),
% eta(A))) <->
% quotient(quotient(quotient(difference(j(eta(A)),difference(A,difference(
% j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% i(i(i(A)))),
% j(B))))),
% j(A))))),
% j(eta(A))),eta(A)),i(i(i(A))))
% Current number of equations to process: 558
% Current number of ordered equations: 417
% Current number of rules: 591
% New rule produced :
% [1040]
% quotient(quotient(quotient(difference(j(eta(A)),difference(A,difference(
% j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% i(i(i(A)))),
% j(B))))),
% j(A))))),
% j(eta(A))),eta(A)),i(i(i(A)))) <->
% difference(i(i(i(A))),quotient(quotient(difference(j(eta(A)),B),j(eta(A))),
% eta(A)))
% Current number of equations to process: 558
% Current number of ordered equations: 416
% Current number of rules: 592
% New rule produced :
% [1041]
% quotient(difference(B,quotient(difference(i(difference(A,C)),C),difference(A,C))),A)
% <-> difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C)
% Current number of equations to process: 558
% Current number of ordered equations: 414
% Current number of rules: 593
% New rule produced :
% [1042]
% quotient(quotient(difference(A,difference(j(A),quotient(difference(difference(B,A),C),
% j(A)))),difference(B,A)),B) ->
% difference(A,difference(B,difference(j(B),quotient(t(B,C),j(B)))))
% Current number of equations to process: 558
% Current number of ordered equations: 413
% Current number of rules: 594
% New rule produced :
% [1043]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C) <->
% quotient(difference(B,quotient(difference(i(difference(A,C)),C),difference(A,C))),A)
% Rule
% [663]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),A) ->
% quotient(difference(B,A),A) collapsed.
% Rule
% [687]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),eta(A)) ->
% quotient(i(B),A) collapsed.
% Rule
% [723]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),j(j(A))) ->
% quotient(difference(B,i(i(A))),A) collapsed.
% Rule
% [779]
% difference(difference(A,difference(j(A),quotient(t(A,quotient(B,C)),j(A)))),
% difference(A,difference(j(A),quotient(t(A,B),j(A))))) ->
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),quotient(
% t(A,
% quotient(B,C)),
% j(A))))),
% j(C)))),quotient(B,C)),A)
% collapsed.
% Current number of equations to process: 563
% Current number of ordered equations: 399
% Current number of rules: 591
% New rule produced :
% [1044]
% quotient(difference(C,difference(V_3,difference(j(V_3),quotient(t(V_3,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(V_3))))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))
% <->
% difference(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))),
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,A),
% j(V_3))))),
% j(B)))),A)),
% j(A)))))
% Current number of equations to process: 563
% Current number of ordered equations: 398
% Current number of rules: 592
% New rule produced :
% [1045]
% quotient(difference(C,difference(V_3,difference(j(V_3),quotient(t(V_3,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(V_3))))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))
% <->
% difference(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A)))),difference(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),V_3),
% j(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))))))))
% Current number of equations to process: 563
% Current number of ordered equations: 397
% Current number of rules: 593
% New rule produced :
% [1046]
% difference(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))),
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,A),
% j(V_3))))),
% j(B)))),A)),
% j(A))))) <->
% quotient(difference(C,difference(V_3,difference(j(V_3),quotient(t(V_3,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(V_3))))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))
% Current number of equations to process: 563
% Current number of ordered equations: 396
% Current number of rules: 594
% New rule produced :
% [1047]
% difference(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A)))),difference(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),V_3),
% j(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))))))))
% <->
% quotient(difference(C,difference(V_3,difference(j(V_3),quotient(t(V_3,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(V_3))))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))
% Current number of equations to process: 563
% Current number of ordered equations: 395
% Current number of rules: 595
% New rule produced :
% [1048]
% 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: 563
% Current number of ordered equations: 393
% Current number of rules: 596
% New rule produced :
% [1049]
% quotient(difference(i(A),difference(A,difference(j(A),quotient(difference(A,B),
% j(A))))),A) -> B
% Current number of equations to process: 563
% Current number of ordered equations: 392
% Current number of rules: 597
% New rule produced :
% [1050]
% t(eta(A),quotient(B,difference(eta(A),quotient(quotient(difference(C,eta(A)),C),
% j(C))))) <-> quotient(t(eta(A),B),j(C))
% Current number of equations to process: 562
% Current number of ordered equations: 391
% Current number of rules: 598
% New rule produced :
% [1051]
% quotient(t(eta(A),B),j(C)) <->
% t(eta(A),quotient(B,difference(eta(A),quotient(quotient(difference(C,eta(A)),C),
% j(C)))))
% Current number of equations to process: 562
% Current number of ordered equations: 390
% Current number of rules: 599
% New rule produced :
% [1052]
% t(eta(A),difference(B,difference(eta(A),quotient(quotient(difference(C,
% eta(A)),C),
% j(C))))) <->
% difference(t(eta(A),B),j(C))
% Current number of equations to process: 562
% Current number of ordered equations: 389
% Current number of rules: 600
% New rule produced :
% [1053]
% difference(t(eta(A),B),j(C)) <->
% t(eta(A),difference(B,difference(eta(A),quotient(quotient(difference(C,
% eta(A)),C),
% j(C)))))
% Rule
% [288] difference(t(eta(A),B),j(eta(A))) -> t(eta(A),difference(B,j(eta(A))))
% collapsed.
% Rule
% [673]
% difference(t(eta(A),B),j(A)) ->
% t(eta(A),difference(B,difference(eta(A),j(j(j(A)))))) collapsed.
% Current number of equations to process: 562
% Current number of ordered equations: 386
% Current number of rules: 599
% New rule produced :
% [1054]
% difference(quotient(quotient(difference(B,A),B),j(B)),eta(B)) ->
% quotient(i(A),j(B))
% Current number of equations to process: 561
% Current number of ordered equations: 386
% Current number of rules: 600
% New rule produced :
% [1055]
% difference(j(eta(A)),quotient(difference(eta(A),t(j(eta(A)),B)),eta(A))) ->
% quotient(quotient(difference(eta(A),B),eta(A)),j(eta(A)))
% Rule
% [895]
% quotient(difference(j(eta(A)),quotient(difference(eta(A),t(j(eta(A)),B)),
% eta(A))),B) -> j(eta(A)) collapsed.
% Rule
% [982]
% difference(j(eta(A)),difference(j(eta(A)),quotient(difference(eta(A),
% t(j(eta(A)),B)),eta(A))))
% -> B collapsed.
% Current number of equations to process: 560
% Current number of ordered equations: 386
% Current number of rules: 599
% New rule produced :
% [1056]
% quotient(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),j(j(B)))
% -> quotient(A,B)
% Rule
% [1037]
% t(eta(quotient(A,B)),quotient(difference(A,difference(j(A),quotient(t(A,
% eta(
% quotient(A,B))),
% j(A)))),j(
% j(
% quotient(A,B)))))
% -> t(i(i(quotient(A,B))),B) collapsed.
% Current number of equations to process: 560
% Current number of ordered equations: 386
% Current number of rules: 599
% New rule produced :
% [1057] t(i(i(quotient(A,B))),B) -> t(eta(quotient(A,B)),t(quotient(A,B),B))
% Current number of equations to process: 559
% Current number of ordered equations: 386
% Current number of rules: 600
% New rule produced :
% [1058]
% quotient(difference(t(eta(A),difference(B,difference(j(B),quotient(t(B,C),
% j(B))))),difference(
% j(
% t(
% eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))))),
% quotient(
% t(
% t(
% eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),B),
% j(
% t(
% eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))))))),
% quotient(difference(eta(t(eta(A),B)),difference(B,difference(j(B),quotient(
% t(B,
% t(eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))))),
% j(B))))),
% t(eta(A),difference(B,difference(j(B),quotient(t(B,C),j(B))))))) ->
% difference(t(eta(A),B),difference(j(t(eta(A),B)),quotient(t(t(eta(A),B),
% difference(
% t(eta(A),C),
% difference(
% j(t(eta(A),C)),
% quotient(t(
% t(
% eta(A),C),
% eta(
% t(
% eta(A),B))),
% j(t(eta(A),C)))))),
% j(t(eta(A),B)))))
% Current number of equations to process: 559
% Current number of ordered equations: 385
% Current number of rules: 601
% New rule produced :
% [1059]
% difference(difference(difference(j(A),j(j(A))),A),difference(j(difference(
% difference(
% j(A),j(j(A))),A)),
% quotient(t(difference(
% difference(
% j(A),j(j(A))),A),
% difference(
% difference(
% j(A),j(j(A))),
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(difference(difference(
% j(A),j(j(A))),A)))))
% ->
% difference(difference(j(A),j(j(A))),difference(A,difference(j(A),quotient(
% t(A,
% quotient(
% quotient(B,
% j(A)),
% j(j(A)))),
% j(A)))))
% Current number of equations to process: 559
% Current number of ordered equations: 384
% Current number of rules: 602
% New rule produced :
% [1060]
% quotient(difference(difference(difference(j(A),j(j(A))),difference(j(A),
% quotient(t(A,B),
% j(A)))),difference(
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),x2),
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))),
% quotient(difference(difference(difference(j(A),j(j(A))),A),difference(x2,
% difference(
% j(x2),quotient(
% t(x2,
% difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(x2))))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A))))))
% ->
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% i(A)),
% j(B))))),
% j(A))))
% Current number of equations to process: 559
% Current number of ordered equations: 383
% Current number of rules: 603
% New rule produced :
% [1061]
% difference(quotient(quotient(difference(j(A),B),j(A)),j(j(A))),quotient(
% quotient(
% difference(
% j(A),difference(
% j(B),
% j(
% j(B)))),
% j(A)),
% j(j(A)))) ->
% quotient(t(B,quotient(quotient(difference(j(A),B),j(A)),j(j(A)))),j(j(A)))
% Current number of equations to process: 559
% Current number of ordered equations: 382
% Current number of rules: 604
% New rule produced :
% [1062]
% difference(quotient(quotient(difference(j(eta(A)),difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(eta(A))),eta(A)),quotient(quotient(difference(j(eta(A)),
% difference(A,
% difference(j(A),
% quotient(t(A,
% difference(
% j(B),
% j(j(B)))),
% j(A))))),j(eta(A))),
% eta(A))) ->
% quotient(t(B,quotient(quotient(difference(j(eta(A)),difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(eta(A))),eta(A))),i(i(A)))
% Current number of equations to process: 558
% Current number of ordered equations: 382
% Current number of rules: 605
% New rule produced :
% [1063]
% quotient(difference(i(i(A)),difference(j(eta(A)),quotient(i(i(i(A))),
% j(eta(A))))),i(A)) ->
% j(A)
% Current number of equations to process: 558
% Current number of ordered equations: 381
% Current number of rules: 606
% New rule produced :
% [1064]
% quotient(quotient(quotient(quotient(A,B),t(quotient(A,B),B)),j(t(quotient(A,B),B))),A)
% -> j(t(quotient(A,B),B))
% Current number of equations to process: 558
% Current number of ordered equations: 380
% Current number of rules: 607
% New rule produced : [1065] quotient(j(j(j(j(j(A))))),eta(A)) -> j(j(j(A)))
% Current number of equations to process: 557
% Current number of ordered equations: 380
% Current number of rules: 608
% New rule produced :
% [1066]
% quotient(difference(A,eta(B)),i(difference(B,difference(j(B),quotient(
% t(B,A),j(B))))))
% -> t(quotient(difference(A,eta(B)),B),B)
% Current number of equations to process: 557
% Current number of ordered equations: 379
% Current number of rules: 609
% New rule produced :
% [1067]
% quotient(difference(A,quotient(i(B),j(j(A)))),difference(B,quotient(quotient(
% j(A),
% j(B)),
% j(j(B))))) ->
% i(A)
% Current number of equations to process: 557
% Current number of ordered equations: 378
% Current number of rules: 610
% New rule produced :
% [1068]
% i(t(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))))) ->
% quotient(quotient(eta(B),eta(A)),t(eta(A),B))
% Current number of equations to process: 556
% Current number of ordered equations: 377
% Current number of rules: 611
% New rule produced :
% [1069]
% 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: 556
% Current number of ordered equations: 376
% Current number of rules: 612
% New rule produced :
% [1070]
% 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: 556
% Current number of ordered equations: 375
% Current number of rules: 613
% New rule produced :
% [1071]
% 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: 556
% Current number of ordered equations: 374
% Current number of rules: 614
% New rule produced :
% [1072]
% 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: 556
% Current number of ordered equations: 373
% Current number of rules: 615
% New rule produced :
% [1073]
% 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: 556
% Current number of ordered equations: 372
% Current number of rules: 616
% New rule produced :
% [1074]
% 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: 556
% Current number of ordered equations: 371
% Current number of rules: 617
% New rule produced :
% [1075]
% quotient(difference(j(quotient(A,eta(B))),quotient(eta(B),j(quotient(A,
% eta(B))))),
% t(eta(B),A)) -> quotient(A,eta(B))
% Current number of equations to process: 556
% Current number of ordered equations: 370
% Current number of rules: 618
% New rule produced :
% [1076]
% quotient(quotient(quotient(j(j(j(A))),A),j(A)),quotient(eta(A),j(eta(A)))) ->
% j(A)
% Current number of equations to process: 555
% Current number of ordered equations: 370
% Current number of rules: 619
% New rule produced :
% [1077]
% difference(j(A),quotient(quotient(quotient(B,j(A)),j(j(A))),j(A))) ->
% difference(A,difference(j(A),quotient(t(A,quotient(B,i(A))),j(A))))
% Current number of equations to process: 555
% Current number of ordered equations: 369
% Current number of rules: 620
% Rule [1019]
% t(t(eta(A),B),C) <->
% t(eta(A),t(B,quotient(difference(i(difference(eta(A),C)),C),difference(
% eta(A),C)))) is composed into
% [1019]
% t(t(eta(A),B),C) <->
% t(eta(A),t(B,difference(eta(A),difference(eta(A),difference(j(eta(A)),
% quotient(C,j(eta(A))))))))
% Rule [1016]
% quotient(t(eta(A),B),C) <->
% t(eta(A),quotient(B,quotient(difference(i(difference(eta(A),C)),C),
% difference(eta(A),C)))) is composed into [1016]
% quotient(
% t(eta(A),B),C)
% <->
% t(eta(A),
% quotient(B,
% difference(
% eta(A),
% difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(C,
% j(eta(A))))))))
% Rule [1013]
% difference(t(eta(A),B),C) <->
% t(eta(A),difference(B,quotient(difference(i(difference(eta(A),C)),C),
% difference(eta(A),C)))) is composed into [1013]
% difference(
% t(
% eta(A),B),C)
% ->
% t(
% eta(A),
% difference(B,
% difference(
% eta(A),
% difference(
% eta(A),
% difference(
% j(
% eta(A)),
% quotient(C,
% j(
% eta(A))))))))
% New rule produced :
% [1078]
% quotient(difference(i(difference(eta(A),B)),B),difference(eta(A),B)) ->
% difference(eta(A),difference(eta(A),difference(j(eta(A)),quotient(B,j(eta(A))))))
% Rule
% [477]
% t(eta(B),quotient(difference(i(difference(eta(B),A)),A),difference(eta(B),A)))
% -> A collapsed.
% Rule
% [766]
% quotient(quotient(difference(i(difference(eta(A),B)),B),difference(eta(A),B)),
% eta(A)) -> difference(eta(A),B) collapsed.
% Rule
% [1011]
% t(eta(A),difference(B,quotient(difference(i(difference(eta(A),C)),C),
% difference(eta(A),C)))) <-> difference(t(eta(A),B),C)
% collapsed.
% Rule
% [1012]
% t(eta(B),difference(quotient(difference(i(difference(eta(B),A)),A),difference(
% eta(B),A)),C))
% -> difference(A,t(eta(B),C)) collapsed.
% Rule
% [1014]
% t(eta(A),quotient(B,quotient(difference(i(difference(eta(A),C)),C),difference(
% eta(A),C))))
% <-> quotient(t(eta(A),B),C) collapsed.
% Rule
% [1015]
% t(eta(B),quotient(quotient(difference(i(difference(eta(B),A)),A),difference(
% eta(B),A)),C))
% -> quotient(A,t(eta(B),C)) collapsed.
% Rule
% [1018]
% t(eta(A),t(B,quotient(difference(i(difference(eta(A),C)),C),difference(
% eta(A),C)))) <->
% t(t(eta(A),B),C) collapsed.
% Rule
% [1020]
% t(eta(B),t(quotient(difference(i(difference(eta(B),A)),A),difference(
% eta(B),A)),C)) ->
% t(A,t(eta(B),C)) collapsed.
% Current number of equations to process: 558
% Current number of ordered equations: 363
% Current number of rules: 613
% New rule produced :
% [1079]
% quotient(difference(eta(A),difference(eta(A),difference(j(eta(A)),quotient(B,
% j(eta(A)))))),
% eta(A)) -> difference(eta(A),B)
% Current number of equations to process: 557
% Current number of ordered equations: 363
% Current number of rules: 614
% New rule produced :
% [1080]
% quotient(difference(A,quotient(B,j(j(A)))),difference(B,difference(j(B),
% quotient(t(B,j(A)),
% j(B))))) -> i(A)
% Current number of equations to process: 557
% Current number of ordered equations: 362
% Current number of rules: 615
% New rule produced :
% [1081]
% difference(difference(B,difference(j(B),quotient(quotient(A,difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(B)))),A) ->
% quotient(difference(B,difference(difference(B,difference(j(B),quotient(
% t(B,C),
% j(B)))),
% difference(j(difference(B,difference(j(B),quotient(
% t(B,C),
% j(B))))),
% quotient(t(difference(B,difference(j(B),quotient(
% t(B,C),
% j(B)))),
% quotient(A,difference(B,difference(j(B),
% quotient(t(B,C),
% j(B)))))),j(difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))))))),
% quotient(A,difference(B,difference(j(B),quotient(t(B,C),j(B))))))
% Current number of equations to process: 557
% Current number of ordered equations: 361
% Current number of rules: 616
% New rule produced :
% [1082]
% difference(difference(A,difference(j(A),quotient(t(A,j(j(B))),j(A)))),
% difference(A,difference(j(A),quotient(t(A,difference(j(B),j(j(B)))),j(A)))))
% ->
% quotient(t(j(j(B)),difference(A,difference(j(A),quotient(t(A,j(j(B))),j(A))))),A)
% Current number of equations to process: 556
% Current number of ordered equations: 361
% Current number of rules: 617
% New rule produced :
% [1083]
% difference(difference(B,difference(j(B),quotient(quotient(A,difference(
% j(B),j(j(B)))),
% j(B)))),A) ->
% quotient(difference(B,difference(difference(j(B),j(j(B))),difference(
% j(difference(
% j(B),j(j(B)))),
% quotient(t(
% difference(
% j(B),
% j(
% j(B))),
% quotient(A,
% difference(
% j(B),
% j(
% j(B))))),
% j(difference(
% j(B),j(j(B)))))))),
% quotient(A,difference(j(B),j(j(B)))))
% Current number of equations to process: 556
% Current number of ordered equations: 360
% Current number of rules: 618
% New rule produced :
% [1084]
% difference(difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A)))),
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(difference(
% j(eta(B)),
% quotient(B,
% i(B))),j(eta(B))),
% eta(B))),j(A))))) ->
% quotient(t(i(i(B)),difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A))))),A)
% Current number of equations to process: 555
% Current number of ordered equations: 360
% Current number of rules: 619
% New rule produced :
% [1085]
% difference(difference(A,difference(j(A),quotient(t(A,t(eta(B),C)),j(A)))),
% difference(A,difference(j(A),quotient(t(A,t(eta(B),difference(j(C),j(j(C))))),
% j(A))))) ->
% quotient(t(t(eta(B),C),difference(A,difference(j(A),quotient(t(A,t(eta(B),C)),
% j(A))))),A)
% Current number of equations to process: 555
% Current number of ordered equations: 359
% Current number of rules: 620
% New rule produced :
% [1086]
% t(eta(A),quotient(difference(B,difference(j(B),quotient(t(B,quotient(
% quotient(
% quotient(B,
% eta(A)),j(eta(A))),B)),
% j(B)))),j(eta(A)))) <->
% difference(j(eta(A)),B)
% Current number of equations to process: 555
% Current number of ordered equations: 358
% Current number of rules: 621
% New rule produced :
% [1087]
% difference(j(eta(A)),B) <->
% t(eta(A),quotient(difference(B,difference(j(B),quotient(t(B,quotient(
% quotient(
% quotient(B,
% eta(A)),j(eta(A))),B)),
% j(B)))),j(eta(A))))
% Rule [495] difference(j(eta(A)),A) -> i(i(A)) collapsed.
% Current number of equations to process: 555
% Current number of ordered equations: 357
% Current number of rules: 621
% New rule produced :
% [1088]
% 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: 555
% Current number of ordered equations: 355
% Current number of rules: 622
% New rule produced :
% [1089]
% difference(eta(A),difference(eta(A),difference(j(eta(A)),quotient(j(j(
% t(
% eta(A),B))),
% j(eta(A)))))) ->
% j(j(B))
% Current number of equations to process: 555
% Current number of ordered equations: 354
% Current number of rules: 623
% New rule produced :
% [1090]
% quotient(difference(j(difference(A,B)),quotient(A,j(difference(A,B)))),
% t(difference(A,B),B)) -> t(t(difference(A,B),B),difference(A,B))
% Current number of equations to process: 554
% Current number of ordered equations: 353
% Current number of rules: 624
% New rule produced :
% [1091]
% difference(A,difference(t(A,B),difference(j(t(A,B)),quotient(t(t(A,B),A),
% j(t(A,B)))))) -> B
% Current number of equations to process: 553
% Current number of ordered equations: 352
% Current number of rules: 625
% New rule produced :
% [1092]
% quotient(difference(t(A,B),difference(j(t(A,B)),quotient(t(t(A,B),A),
% j(t(A,B))))),B) -> A
% Current number of equations to process: 553
% Current number of ordered equations: 351
% Current number of rules: 626
% New rule produced :
% [1093]
% quotient(difference(A,difference(j(A),quotient(t(A,B),j(A)))),t(t(A,B),A)) ->
% t(t(t(A,B),A),t(A,B))
% Current number of equations to process: 553
% Current number of ordered equations: 350
% Current number of rules: 627
% New rule produced :
% [1094]
% difference(quotient(quotient(difference(j(eta(B)),difference(B,difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(eta(B))),eta(B)),quotient(quotient(difference(j(eta(B)),
% difference(B,
% difference(j(B),
% quotient(t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B))))),j(eta(B))),
% eta(B))) <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,quotient(
% quotient(
% difference(
% j(eta(B)),
% difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(eta(B))),
% eta(B))),
% j(A)))),C),i(i(B)))
% Current number of equations to process: 545
% Current number of ordered equations: 351
% Current number of rules: 628
% New rule produced :
% [1095]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,quotient(
% quotient(
% difference(
% j(eta(B)),
% difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(eta(B))),
% eta(B))),
% j(A)))),C),i(i(B))) <->
% difference(quotient(quotient(difference(j(eta(B)),difference(B,difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(eta(B))),eta(B)),quotient(quotient(difference(j(eta(B)),
% difference(B,
% difference(j(B),
% quotient(t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B))))),j(eta(B))),
% eta(B)))
% Current number of equations to process: 545
% Current number of ordered equations: 350
% Current number of rules: 629
% New rule produced :
% [1096]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,quotient(
% quotient(
% difference(
% j(B),C),j(B)),
% j(j(B)))),
% j(A)))),C),j(j(B))) <->
% difference(quotient(quotient(difference(j(B),C),j(B)),j(j(B))),quotient(
% quotient(
% difference(
% j(B),difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)),
% j(j(B))))
% Current number of equations to process: 545
% Current number of ordered equations: 348
% Current number of rules: 630
% New rule produced :
% [1097]
% difference(quotient(quotient(difference(j(B),C),j(B)),j(j(B))),quotient(
% quotient(
% difference(
% j(B),difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)),
% j(j(B)))) <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,quotient(
% quotient(
% difference(
% j(B),C),j(B)),
% j(j(B)))),
% j(A)))),C),j(j(B)))
% Current number of equations to process: 545
% Current number of ordered equations: 346
% Current number of rules: 631
% New rule produced :
% [1098]
% difference(quotient(eta(B),j(eta(B))),difference(B,quotient(quotient(
% quotient(
% quotient(
% difference(
% j(B),A),j(B)),
% j(j(B))),
% j(B)),j(j(B)))))
% <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,quotient(
% eta(B),j(eta(B)))),
% j(A)))),j(j(B))),i(B))
% Current number of equations to process: 541
% Current number of ordered equations: 347
% Current number of rules: 632
% New rule produced :
% [1099]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,quotient(
% eta(B),j(eta(B)))),
% j(A)))),j(j(B))),i(B)) <->
% difference(quotient(eta(B),j(eta(B))),difference(B,quotient(quotient(
% quotient(
% quotient(
% difference(
% j(B),A),j(B)),
% j(j(B))),
% j(B)),j(j(B)))))
% Current number of equations to process: 541
% Current number of ordered equations: 346
% Current number of rules: 633
% New rule produced :
% [1100]
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(j(eta(A)),j(A))))
% -> eta(A)
% Current number of equations to process: 540
% Current number of ordered equations: 346
% Current number of rules: 634
% New rule produced :
% [1101]
% difference(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A)))),difference(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(C,
% difference(j(C),
% quotient(t(C,
% eta(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(C))))),j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))))
% -> eta(difference(A,difference(j(A),quotient(t(A,B),j(A)))))
% Current number of equations to process: 540
% Current number of ordered equations: 345
% Current number of rules: 635
% New rule produced :
% [1102]
% difference(A,difference(j(A),quotient(t(A,quotient(eta(A),j(eta(A)))),j(A))))
% -> j(j(j(j(A))))
% Rule
% [756]
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(eta(A),j(eta(A)))),
% j(A)))),j(A)) ->
% difference(j(A),i(i(A))) collapsed.
% Current number of equations to process: 540
% Current number of ordered equations: 345
% Current number of rules: 635
% New rule produced :
% [1103] difference(j(A),i(i(A))) -> quotient(j(j(j(j(A)))),j(A))
% Current number of equations to process: 539
% Current number of ordered equations: 345
% Current number of rules: 636
% New rule produced :
% [1104]
% difference(t(i(difference(A,difference(j(A),quotient(t(A,B),j(A))))),A),
% difference(B,eta(A))) -> quotient(difference(B,eta(A)),A)
% Current number of equations to process: 539
% Current number of ordered equations: 344
% Current number of rules: 637
% New rule produced :
% [1105]
% quotient(quotient(difference(j(eta(A)),j(B)),j(eta(A))),eta(A)) <->
% t(eta(A),quotient(quotient(difference(B,eta(A)),B),j(B)))
% Current number of equations to process: 537
% Current number of ordered equations: 345
% Current number of rules: 638
% New rule produced :
% [1106]
% t(eta(A),quotient(quotient(difference(B,eta(A)),B),j(B))) <->
% quotient(quotient(difference(j(eta(A)),j(B)),j(eta(A))),eta(A))
% Current number of equations to process: 537
% Current number of ordered equations: 344
% Current number of rules: 639
% New rule produced :
% [1107]
% quotient(quotient(quotient(difference(A,B),A),j(A)),t(t(j(A),B),j(A))) ->
% t(t(t(j(A),B),j(A)),t(j(A),B))
% Current number of equations to process: 537
% Current number of ordered equations: 343
% Current number of rules: 640
% New rule produced :
% [1108]
% 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: 537
% Current number of ordered equations: 342
% Current number of rules: 641
% New rule produced :
% [1109]
% difference(quotient(A,eta(B)),t(eta(B),difference(j(difference(eta(B),A)),
% j(j(difference(eta(B),A)))))) ->
% quotient(A,eta(B))
% Current number of equations to process: 537
% Current number of ordered equations: 341
% Current number of rules: 642
% New rule produced :
% [1110]
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(difference(B,A),B),
% j(B))),j(A)))) ->
% difference(j(A),quotient(j(B),j(A)))
% Current number of equations to process: 537
% Current number of ordered equations: 340
% Current number of rules: 643
% New rule produced :
% [1111]
% difference(t(eta(B),V_3),difference(difference(t(eta(B),V_3),difference(
% j(t(eta(B),V_3)),
% quotient(
% t(t(eta(B),V_3),A),
% j(t(eta(B),V_3))))),
% difference(j(difference(t(eta(B),V_3),difference(
% j(t(eta(B),V_3)),
% quotient(
% t(t(eta(B),V_3),A),
% j(t(eta(B),V_3)))))),
% quotient(t(difference(t(eta(B),V_3),difference(
% j(t(eta(B),V_3)),
% quotient(
% t(t(eta(B),V_3),A),
% j(t(eta(B),V_3))))),
% t(eta(B),C)),j(difference(t(eta(B),V_3),
% difference(j(t(eta(B),V_3)),
% quotient(t(t(eta(B),V_3),A),
% j(t(eta(B),V_3)))))))))) <->
% quotient(difference(A,difference(j(A),quotient(t(A,t(eta(B),difference(C,
% difference(
% j(C),quotient(
% t(C,V_3),
% j(C)))))),
% j(A)))),t(eta(B),V_3))
% Current number of equations to process: 537
% Current number of ordered equations: 339
% Current number of rules: 644
% New rule produced :
% [1112]
% quotient(difference(A,difference(j(A),quotient(t(A,t(eta(B),difference(C,
% difference(
% j(C),quotient(
% t(C,V_3),
% j(C)))))),
% j(A)))),t(eta(B),V_3)) <->
% difference(t(eta(B),V_3),difference(difference(t(eta(B),V_3),difference(
% j(t(eta(B),V_3)),
% quotient(
% t(t(eta(B),V_3),A),
% j(t(eta(B),V_3))))),
% difference(j(difference(t(eta(B),V_3),difference(
% j(t(eta(B),V_3)),
% quotient(
% t(t(eta(B),V_3),A),
% j(t(eta(B),V_3)))))),
% quotient(t(difference(t(eta(B),V_3),difference(
% j(t(eta(B),V_3)),
% quotient(
% t(t(eta(B),V_3),A),
% j(t(eta(B),V_3))))),
% t(eta(B),C)),j(difference(t(eta(B),V_3),
% difference(j(t(eta(B),V_3)),
% quotient(t(t(eta(B),V_3),A),
% j(t(eta(B),V_3))))))))))
% Current number of equations to process: 537
% Current number of ordered equations: 338
% Current number of rules: 645
% New rule produced :
% [1113]
% difference(t(eta(A),B),difference(t(eta(A),difference(B,difference(j(B),
% quotient(t(B,C),
% j(B))))),difference(
% j(t(
% eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))))),
% quotient(
% t(t(
% eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),V_3),
% j(t(
% eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))))))))
% <->
% quotient(difference(t(eta(A),C),difference(j(t(eta(A),C)),quotient(t(
% t(
% eta(A),C),
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,
% t(
% eta(A),B)),
% j(V_3))))),
% j(t(eta(A),C))))),
% t(eta(A),B))
% Current number of equations to process: 537
% Current number of ordered equations: 337
% Current number of rules: 646
% New rule produced :
% [1114]
% quotient(difference(t(eta(A),C),difference(j(t(eta(A),C)),quotient(t(
% t(
% eta(A),C),
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,
% t(
% eta(A),B)),
% j(V_3))))),
% j(t(eta(A),C))))),
% t(eta(A),B)) <->
% difference(t(eta(A),B),difference(t(eta(A),difference(B,difference(j(B),
% quotient(t(B,C),
% j(B))))),difference(
% j(t(
% eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))))),
% quotient(
% t(t(
% eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),V_3),
% j(t(
% eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))))))))
% Current number of equations to process: 537
% Current number of ordered equations: 336
% Current number of rules: 647
% New rule produced :
% [1115]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(A)))),C),difference(
% difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B)))),
% difference(B,
% difference(
% j(B),quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))))) ->
% t(quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(A)))),C),B),B)
% Current number of equations to process: 537
% Current number of ordered equations: 334
% Current number of rules: 648
% New rule produced :
% [1116]
% quotient(difference(i(quotient(A,i(i(B)))),quotient(quotient(difference(
% j(eta(B)),
% quotient(A,
% i(i(B)))),
% j(eta(B))),eta(B))),
% quotient(A,i(i(B)))) -> quotient(A,B)
% Current number of equations to process: 536
% Current number of ordered equations: 334
% Current number of rules: 649
% New rule produced :
% [1117]
% quotient(t(C,difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))))),
% difference(A,difference(j(A),quotient(t(A,B),j(A))))) <->
% quotient(difference(quotient(difference(B,difference(j(B),quotient(t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A),
% difference(B,difference(j(B),quotient(t(B,difference(difference(
% j(C),j(j(C))),
% difference(j(difference(
% j(C),
% j(j(C)))),
% quotient(t(difference(
% j(C),j(j(C))),A),
% j(difference(j(C),j(j(C)))))))),
% j(B))))),A)
% Current number of equations to process: 536
% Current number of ordered equations: 333
% Current number of rules: 650
% New rule produced :
% [1118]
% quotient(difference(quotient(difference(B,difference(j(B),quotient(t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A),
% difference(B,difference(j(B),quotient(t(B,difference(difference(
% j(C),j(j(C))),
% difference(j(difference(
% j(C),
% j(j(C)))),
% quotient(t(difference(
% j(C),j(j(C))),A),
% j(difference(j(C),j(j(C)))))))),
% j(B))))),A) <->
% quotient(t(C,difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))))),
% difference(A,difference(j(A),quotient(t(A,B),j(A)))))
% Current number of equations to process: 536
% Current number of ordered equations: 332
% Current number of rules: 651
% New rule produced :
% [1119]
% difference(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))),
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,difference(
% difference(
% j(C),
% j(
% j(C))),
% difference(
% j(
% difference(
% j(C),
% j(
% j(C)))),
% quotient(
% t(
% difference(
% j(C),
% j(
% j(C))),A),
% j(
% difference(
% j(C),
% j(
% j(C)))))))),
% j(B)))),A)),
% j(A))))) ->
% quotient(t(C,difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))))),
% difference(A,difference(j(A),quotient(t(A,B),j(A)))))
% Current number of equations to process: 536
% Current number of ordered equations: 331
% Current number of rules: 652
% New rule produced :
% [1120]
% quotient(difference(t(eta(A),C),difference(V_3,difference(j(V_3),quotient(
% t(V_3,
% t(eta(A),B)),
% j(V_3))))),
% t(eta(A),B)) <->
% difference(t(eta(A),difference(B,difference(j(B),quotient(t(B,C),j(B))))),
% difference(t(eta(A),B),difference(j(t(eta(A),B)),quotient(t(t(eta(A),B),V_3),
% j(t(eta(A),B))))))
% Current number of equations to process: 536
% Current number of ordered equations: 330
% Current number of rules: 653
% New rule produced :
% [1121]
% difference(t(eta(A),difference(B,difference(j(B),quotient(t(B,C),j(B))))),
% difference(t(eta(A),B),difference(j(t(eta(A),B)),quotient(t(t(eta(A),B),V_3),
% j(t(eta(A),B)))))) <->
% quotient(difference(t(eta(A),C),difference(V_3,difference(j(V_3),quotient(
% t(V_3,
% t(eta(A),B)),
% j(V_3))))),
% t(eta(A),B))
% Current number of equations to process: 536
% Current number of ordered equations: 329
% Current number of rules: 654
% New rule produced :
% [1122]
% quotient(difference(A,difference(B,difference(j(B),quotient(t(B,quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B)),
% j(B))))),quotient(
% difference(C,
% difference(
% j(C),quotient(
% t(C,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B))
% <->
% quotient(difference(A,difference(difference(B,difference(j(B),quotient(
% t(B,C),
% j(B)))),
% difference(j(difference(B,difference(j(B),quotient(
% t(B,C),
% j(B))))),
% quotient(t(difference(B,difference(j(B),quotient(
% t(B,C),
% j(B)))),V_3),
% j(difference(B,difference(j(B),quotient(t(B,C),j(B))))))))),
% quotient(difference(C,difference(j(C),quotient(t(C,difference(V_3,difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B))
% Current number of equations to process: 536
% Current number of ordered equations: 328
% Current number of rules: 655
% New rule produced :
% [1123]
% quotient(difference(A,difference(difference(B,difference(j(B),quotient(
% t(B,C),
% j(B)))),
% difference(j(difference(B,difference(j(B),quotient(
% t(B,C),
% j(B))))),
% quotient(t(difference(B,difference(j(B),quotient(
% t(B,C),
% j(B)))),V_3),
% j(difference(B,difference(j(B),quotient(t(B,C),j(B))))))))),
% quotient(difference(C,difference(j(C),quotient(t(C,difference(V_3,difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B)) <->
% quotient(difference(A,difference(B,difference(j(B),quotient(t(B,quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B)),
% j(B))))),quotient(
% difference(C,
% difference(
% j(C),quotient(
% t(C,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B))
% Current number of equations to process: 536
% Current number of ordered equations: 327
% Current number of rules: 656
% New rule produced :
% [1124]
% quotient(t(eta(A),difference(A,difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A))))),B) -> i(i(A))
% Current number of equations to process: 535
% Current number of ordered equations: 327
% Current number of rules: 657
% New rule produced :
% [1125]
% quotient(difference(i(quotient(A,i(B))),difference(B,quotient(quotient(
% quotient(A,
% i(B)),j(B)),
% j(j(B))))),quotient(A,
% i(B))) -> A
% Current number of equations to process: 535
% Current number of ordered equations: 326
% Current number of rules: 658
% New rule produced :
% [1126]
% t(eta(A),quotient(quotient(difference(j(eta(B)),eta(A)),j(eta(B))),eta(B)))
% <-> quotient(quotient(difference(j(eta(A)),eta(B)),j(eta(A))),eta(A))
% Current number of equations to process: 533
% Current number of ordered equations: 327
% Current number of rules: 659
% New rule produced :
% [1127]
% quotient(quotient(difference(j(eta(A)),eta(B)),j(eta(A))),eta(A)) <->
% t(eta(A),quotient(quotient(difference(j(eta(B)),eta(A)),j(eta(B))),eta(B)))
% Current number of equations to process: 533
% Current number of ordered equations: 326
% Current number of rules: 660
% New rule produced :
% [1128]
% t(eta(A),quotient(B,difference(eta(A),difference(C,quotient(quotient(
% eta(A),j(C)),
% j(j(C))))))) <->
% quotient(t(eta(A),B),i(C))
% Current number of equations to process: 533
% Current number of ordered equations: 325
% Current number of rules: 661
% New rule produced :
% [1129]
% quotient(t(eta(A),B),i(C)) <->
% t(eta(A),quotient(B,difference(eta(A),difference(C,quotient(quotient(
% eta(A),j(C)),
% j(j(C)))))))
% Current number of equations to process: 533
% Current number of ordered equations: 324
% Current number of rules: 662
% New rule produced :
% [1130]
% t(eta(A),difference(B,difference(eta(A),difference(C,quotient(quotient(
% eta(A),
% j(C)),j(j(C)))))))
% <-> difference(t(eta(A),B),i(C))
% Current number of equations to process: 533
% Current number of ordered equations: 323
% Current number of rules: 663
% New rule produced :
% [1131]
% difference(t(eta(A),B),i(C)) <->
% t(eta(A),difference(B,difference(eta(A),difference(C,quotient(quotient(
% eta(A),
% j(C)),j(j(C)))))))
% Rule [570] difference(t(eta(A),B),i(i(A))) -> t(eta(A),difference(B,j(j(A))))
% collapsed.
% Rule [581] difference(t(eta(A),B),i(i(i(A)))) -> t(eta(A),difference(B,j(A)))
% collapsed.
% Rule [584] difference(t(eta(A),B),i(i(i(i(A))))) -> t(eta(A),difference(B,A))
% collapsed.
% Rule [625] difference(t(eta(A),B),i(A)) -> t(eta(A),difference(B,j(j(j(A)))))
% collapsed.
% Current number of equations to process: 533
% Current number of ordered equations: 322
% Current number of rules: 660
% New rule produced :
% [1132] quotient(quotient(j(j(j(A))),A),i(A)) -> j(j(j(A)))
% Current number of equations to process: 532
% Current number of ordered equations: 322
% Current number of rules: 661
% New rule produced :
% [1133]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,j(A)),
% j(B))))),
% j(A)))),j(A)) -> difference(j(A),B)
% Current number of equations to process: 531
% Current number of ordered equations: 320
% Current number of rules: 662
% New rule produced :
% [1134]
% t(eta(A),quotient(difference(i(B),quotient(quotient(difference(eta(A),B),
% eta(A)),j(eta(A)))),B)) ->
% t(eta(A),difference(B,difference(j(B),quotient(t(B,j(eta(A))),j(B)))))
% Current number of equations to process: 530
% Current number of ordered equations: 320
% Current number of rules: 663
% New rule produced :
% [1135]
% difference(A,quotient(quotient(quotient(quotient(difference(j(eta(A)),B),
% j(eta(A))),eta(A)),j(A)),j(j(A)))) ->
% quotient(quotient(difference(A,B),A),j(A))
% Current number of equations to process: 528
% Current number of ordered equations: 320
% Current number of rules: 664
% New rule produced :
% [1136] difference(j(t(eta(A),eta(B))),j(j(t(eta(A),B)))) -> t(eta(A),B)
% Current number of equations to process: 526
% Current number of ordered equations: 320
% Current number of rules: 665
% New rule produced :
% [1137]
% quotient(quotient(difference(j(difference(A,i(B))),quotient(A,j(difference(A,
% i(B))))),
% j(B)),j(j(B))) -> quotient(difference(A,i(B)),B)
% Current number of equations to process: 524
% Current number of ordered equations: 319
% Current number of rules: 666
% New rule produced :
% [1138]
% difference(eta(A),difference(j(eta(A)),quotient(i(i(i(i(i(A))))),j(eta(A)))))
% -> difference(j(eta(A)),quotient(i(i(i(A))),j(eta(A))))
% Current number of equations to process: 522
% Current number of ordered equations: 318
% Current number of rules: 667
% New rule produced :
% [1139]
% t(eta(A),quotient(B,difference(eta(A),difference(C,difference(j(C),quotient(
% t(C,
% eta(A)),
% j(C)))))))
% <-> quotient(t(eta(A),B),C)
% Current number of equations to process: 522
% Current number of ordered equations: 317
% Current number of rules: 668
% New rule produced :
% [1140]
% quotient(t(eta(A),B),C) <->
% t(eta(A),quotient(B,difference(eta(A),difference(C,difference(j(C),quotient(
% t(C,
% eta(A)),
% j(C)))))))
% Rule
% [1124]
% quotient(t(eta(A),difference(A,difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A))))),B) -> i(i(A))
% collapsed.
% Current number of equations to process: 522
% Current number of ordered equations: 316
% Current number of rules: 668
% New rule produced :
% [1141]
% t(eta(A),difference(B,difference(eta(A),difference(C,difference(j(C),
% quotient(t(C,eta(A)),
% j(C))))))) <->
% difference(t(eta(A),B),C)
% Current number of equations to process: 522
% Current number of ordered equations: 315
% Current number of rules: 669
% New rule produced :
% [1142]
% difference(t(eta(A),B),C) <->
% t(eta(A),difference(B,difference(eta(A),difference(C,difference(j(C),
% quotient(t(C,eta(A)),
% j(C)))))))
% Rule [266] difference(t(eta(A),B),eta(A)) -> t(eta(A),difference(B,eta(A)))
% collapsed.
% Rule [642] difference(t(eta(A),B),A) -> t(eta(A),difference(B,j(j(j(j(A))))))
% collapsed.
% Current number of equations to process: 522
% Current number of ordered equations: 312
% Current number of rules: 668
% New rule produced :
% [1143]
% quotient(quotient(quotient(difference(j(eta(A)),difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(eta(A))),eta(A)),B) -> i(i(A))
% Current number of equations to process: 521
% Current number of ordered equations: 312
% Current number of rules: 669
% New rule produced :
% [1144]
% difference(difference(difference(j(A),j(j(A))),difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% difference(j(difference(difference(j(A),j(j(A))),difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,C),j(A))))),
% j(difference(difference(j(A),j(j(A))),difference(A,difference(j(A),quotient(
% t(A,B),
% j(A)))))))))
% ->
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(
% difference(A,B),
% difference(
% j(difference(A,B)),
% quotient(
% t(difference(A,B),C),
% j(difference(A,B)))))),
% j(A))))
% Current number of equations to process: 521
% Current number of ordered equations: 309
% Current number of rules: 670
% New rule produced :
% [1145]
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(difference(j(A),j(j(A))),difference(A,difference(
% j(A),quotient(
% t(A,C),
% j(A)))))),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A))))))))
% ->
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,C)),
% j(B))))),
% j(A))))
% Current number of equations to process: 521
% Current number of ordered equations: 306
% Current number of rules: 671
% New rule produced :
% [1146]
% difference(difference(A,difference(j(A),quotient(t(difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(A)))),difference(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))))))))
% ->
% quotient(difference(A,difference(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A)))),
% t(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A)))),C)),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))))),
% t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C))
% Current number of equations to process: 521
% Current number of ordered equations: 305
% Current number of rules: 672
% New rule produced :
% [1147]
% quotient(t(eta(quotient(A,B)),difference(A,difference(j(A),quotient(t(A,
% eta(
% quotient(A,B))),
% j(A))))),B) ->
% i(i(quotient(A,B)))
% Current number of equations to process: 521
% Current number of ordered equations: 304
% Current number of rules: 673
% New rule produced :
% [1148]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,quotient(
% eta(B),j(eta(B)))),
% j(A)))),j(j(j(j(B))))),
% eta(B)) ->
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(eta(B),j(eta(B)))),
% j(A)))),j(j(B)))
% Current number of equations to process: 520
% Current number of ordered equations: 304
% Current number of rules: 674
% New rule produced :
% [1149]
% quotient(difference(i(difference(A,difference(B,difference(j(B),quotient(
% t(B,C),
% j(B)))))),
% difference(B,difference(j(B),quotient(t(B,C),j(B))))),difference(A,
% difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))))
% ->
% difference(difference(A,B),difference(j(difference(A,B)),quotient(t(difference(A,B),
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(difference(A,B)))))
% Current number of equations to process: 520
% Current number of ordered equations: 303
% Current number of rules: 675
% New rule produced :
% [1150]
% difference(difference(t(eta(A),B),difference(j(t(eta(A),B)),quotient(
% t(t(eta(A),B),C),
% j(t(eta(A),B))))),
% difference(j(difference(t(eta(A),B),difference(j(t(eta(A),B)),quotient(
% t(t(eta(A),B),C),
% j(t(eta(A),B)))))),
% quotient(t(difference(t(eta(A),B),difference(j(t(eta(A),B)),quotient(
% t(t(eta(A),B),C),
% j(t(eta(A),B))))),
% t(eta(A),V_3)),j(difference(t(eta(A),B),difference(j(t(eta(A),B)),
% quotient(t(t(eta(A),B),C),
% j(t(eta(A),B))))))))) <->
% difference(t(eta(A),B),difference(j(t(eta(A),B)),quotient(t(t(eta(A),B),
% quotient(difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% t(
% eta(A),
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3)))))),
% j(C)))),
% t(eta(A),B))),
% j(t(eta(A),B)))))
% Current number of equations to process: 520
% Current number of ordered equations: 302
% Current number of rules: 676
% New rule produced :
% [1151]
% difference(t(eta(A),B),difference(j(t(eta(A),B)),quotient(t(t(eta(A),B),
% quotient(difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% t(
% eta(A),
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3)))))),
% j(C)))),
% t(eta(A),B))),
% j(t(eta(A),B))))) <->
% difference(difference(t(eta(A),B),difference(j(t(eta(A),B)),quotient(
% t(t(eta(A),B),C),
% j(t(eta(A),B))))),
% difference(j(difference(t(eta(A),B),difference(j(t(eta(A),B)),quotient(
% t(t(eta(A),B),C),
% j(t(eta(A),B)))))),
% quotient(t(difference(t(eta(A),B),difference(j(t(eta(A),B)),quotient(
% t(t(eta(A),B),C),
% j(t(eta(A),B))))),
% t(eta(A),V_3)),j(difference(t(eta(A),B),difference(j(t(eta(A),B)),
% quotient(t(t(eta(A),B),C),
% j(t(eta(A),B)))))))))
% Current number of equations to process: 520
% Current number of ordered equations: 301
% Current number of rules: 677
% New rule produced :
% [1152]
% difference(difference(difference(B,difference(j(B),quotient(t(B,C),j(B)))),
% difference(j(difference(B,difference(j(B),quotient(t(B,C),j(B))))),
% quotient(t(difference(B,difference(j(B),quotient(t(B,C),j(B)))),V_3),
% j(difference(B,difference(j(B),quotient(t(B,C),j(B)))))))),
% difference(difference(B,difference(j(B),quotient(t(B,C),j(B)))),difference(
% j(difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% quotient(
% t(difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))),
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,A),
% j(V_3))))),
% j(difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))))))))
% <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),quotient(
% t(B,
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B)),
% j(B))))),
% j(A)))),V_3),difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B)))))
% Current number of equations to process: 520
% Current number of ordered equations: 300
% Current number of rules: 678
% New rule produced :
% [1153]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),quotient(
% t(B,
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B)),
% j(B))))),
% j(A)))),V_3),difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))) <->
% difference(difference(difference(B,difference(j(B),quotient(t(B,C),j(B)))),
% difference(j(difference(B,difference(j(B),quotient(t(B,C),j(B))))),
% quotient(t(difference(B,difference(j(B),quotient(t(B,C),j(B)))),V_3),
% j(difference(B,difference(j(B),quotient(t(B,C),j(B)))))))),
% difference(difference(B,difference(j(B),quotient(t(B,C),j(B)))),difference(
% j(difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% quotient(
% t(difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))),
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,A),
% j(V_3))))),
% j(difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))))))))
% Current number of equations to process: 520
% Current number of ordered equations: 299
% Current number of rules: 679
% New rule produced :
% [1154]
% difference(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))),
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,difference(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C)))),
% difference(
% j(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C))))),
% quotient(
% t(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C)))),A),
% j(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C))))))))),
% j(B)))),A)),
% j(A))))) <->
% quotient(quotient(difference(V_3,difference(j(V_3),quotient(t(V_3,difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))),
% j(V_3)))),C),difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))
% Current number of equations to process: 520
% Current number of ordered equations: 298
% Current number of rules: 680
% New rule produced :
% [1155]
% difference(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A)))),difference(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(C,
% difference(j(C),
% quotient(t(C,V_3),
% j(C))))),j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))))
% <->
% quotient(quotient(difference(V_3,difference(j(V_3),quotient(t(V_3,difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))),
% j(V_3)))),C),difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))
% Rule
% [1101]
% difference(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A)))),difference(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(C,
% difference(j(C),
% quotient(t(C,
% eta(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(C))))),j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))))
% -> eta(difference(A,difference(j(A),quotient(t(A,B),j(A))))) collapsed.
% Current number of equations to process: 520
% Current number of ordered equations: 297
% Current number of rules: 680
% New rule produced :
% [1156]
% difference(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),difference(A,difference(
% j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B)),
% j(B))))),
% j(A)))))
% <->
% quotient(quotient(difference(V_3,difference(j(V_3),quotient(t(V_3,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),
% j(V_3)))),difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),A)
% Current number of equations to process: 520
% Current number of ordered equations: 296
% Current number of rules: 681
% New rule produced :
% [1157]
% quotient(quotient(difference(V_3,difference(j(V_3),quotient(t(V_3,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),
% j(V_3)))),difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),A)
% <->
% difference(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),difference(A,difference(
% j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B)),
% j(B))))),
% j(A)))))
% Current number of equations to process: 520
% Current number of ordered equations: 295
% Current number of rules: 682
% New rule produced :
% [1158]
% quotient(quotient(difference(V_3,difference(j(V_3),quotient(t(V_3,difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))),
% j(V_3)))),C),difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))) <->
% difference(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))),
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,difference(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C)))),
% difference(
% j(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C))))),
% quotient(
% t(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C)))),A),
% j(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C))))))))),
% j(B)))),A)),
% j(A)))))
% Current number of equations to process: 520
% Current number of ordered equations: 294
% Current number of rules: 683
% New rule produced :
% [1159]
% quotient(quotient(difference(V_3,difference(j(V_3),quotient(t(V_3,difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))),
% j(V_3)))),C),difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))) <->
% difference(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A)))),difference(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(C,
% difference(j(C),
% quotient(t(C,V_3),
% j(C))))),j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))))
% Current number of equations to process: 520
% Current number of ordered equations: 293
% Current number of rules: 684
% New rule produced :
% [1160]
% quotient(difference(difference(A,B),difference(j(difference(A,B)),quotient(
% t(difference(A,B),C),
% j(difference(A,B))))),A)
% ->
% difference(A,difference(B,difference(j(B),quotient(t(B,quotient(C,A)),j(B)))))
% Current number of equations to process: 526
% Current number of ordered equations: 285
% Current number of rules: 685
% New rule produced :
% [1161]
% t(eta(A),difference(difference(B,difference(j(B),quotient(t(B,C),j(B)))),
% difference(B,difference(j(B),quotient(t(B,difference(j(C),j(j(C)))),
% j(B)))))) ->
% t(eta(A),quotient(t(C,difference(B,difference(j(B),quotient(t(B,C),j(B))))),B))
% Current number of equations to process: 526
% Current number of ordered equations: 284
% Current number of rules: 686
% New rule produced :
% [1162]
% difference(difference(A,difference(j(A),quotient(t(difference(j(A),j(j(A))),B),
% j(A)))),difference(difference(
% j(A),j(j(A))),
% difference(j(difference(
% j(A),j(j(A)))),
% quotient(t(difference(
% j(A),j(j(A))),B),
% j(difference(j(A),j(j(A))))))))
% ->
% quotient(difference(A,difference(difference(j(A),j(j(A))),difference(
% j(difference(
% j(A),j(j(A)))),
% quotient(t(
% difference(
% j(A),
% j(
% j(A))),
% t(
% difference(
% j(A),
% j(
% j(A))),B)),
% j(difference(
% j(A),j(j(A)))))))),
% t(difference(j(A),j(j(A))),B))
% Current number of equations to process: 526
% Current number of ordered equations: 283
% Current number of rules: 687
% New rule produced :
% [1163] quotient(quotient(i(B),j(A)),eta(A)) -> quotient(i(B),i(A))
% Current number of equations to process: 525
% Current number of ordered equations: 283
% Current number of rules: 688
% New rule produced :
% [1164]
% quotient(difference(t(quotient(A,B),B),difference(j(t(quotient(A,B),B)),
% quotient(t(t(quotient(A,B),B),B),
% j(t(quotient(A,B),B))))),quotient(
% difference(
% quotient(A,B),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,t(
% quotient(A,B),B)),
% j(B))))),
% t(quotient(A,B),B)))
% -> A
% Current number of equations to process: 525
% Current number of ordered equations: 282
% Current number of rules: 689
% New rule produced :
% [1165]
% difference(i(quotient(A,B)),difference(B,difference(j(B),quotient(t(B,
% quotient(A,B)),
% j(B))))) ->
% difference(A,difference(j(A),quotient(t(A,quotient(A,B)),j(A))))
% Current number of equations to process: 525
% Current number of ordered equations: 281
% Current number of rules: 690
% New rule produced :
% [1166]
% quotient(quotient(A,i(A)),j(j(j(j(j(j(A))))))) -> j(j(j(j(j(j(j(j(A))))))))
% Current number of equations to process: 524
% Current number of ordered equations: 281
% Current number of rules: 691
% New rule produced :
% [1167]
% difference(t(t(difference(A,B),B),difference(A,B)),difference(j(difference(A,B)),
% quotient(A,j(difference(A,B)))))
% -> t(difference(A,B),B)
% Current number of equations to process: 524
% Current number of ordered equations: 280
% Current number of rules: 692
% New rule produced :
% [1168]
% difference(t(t(t(A,B),A),t(A,B)),difference(A,difference(j(A),quotient(
% t(A,B),
% j(A))))) ->
% t(t(A,B),A)
% Current number of equations to process: 523
% Current number of ordered equations: 279
% Current number of rules: 693
% New rule produced :
% [1169]
% difference(difference(difference(j(A),j(j(A))),j(j(A))),difference(j(
% difference(
% difference(
% j(A),
% j(
% j(A))),
% j(
% j(A)))),
% quotient(t(difference(
% difference(
% j(A),
% j(
% j(A))),
% j(
% j(A))),
% difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(difference(
% difference(
% j(A),j(j(A))),
% j(j(A))))))) ->
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,quotient(
% quotient(
% difference(A,B),A),
% j(A))),
% j(A))))
% Current number of equations to process: 522
% Current number of ordered equations: 279
% Current number of rules: 694
% New rule produced :
% [1170]
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(difference(j(A),j(j(A))),j(j(A)))),j(difference(difference(
% j(A),
% j(
% j(A))),
% difference(j(A),
% quotient(t(A,B),
% j(A)))))))) ->
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% j(A)),
% j(B))))),
% j(A))))
% Current number of equations to process: 522
% Current number of ordered equations: 278
% Current number of rules: 695
% New rule produced :
% [1171]
% difference(A,quotient(quotient(difference(j(eta(A)),quotient(B,A)),j(eta(A))),
% eta(A))) ->
% quotient(quotient(quotient(difference(A,B),A),j(A)),A)
% Current number of equations to process: 521
% Current number of ordered equations: 278
% Current number of rules: 696
% New rule produced :
% [1172]
% quotient(difference(A,quotient(quotient(B,j(A)),j(j(A)))),t(t(i(A),B),i(A)))
% -> t(t(t(i(A),B),i(A)),t(i(A),B))
% Current number of equations to process: 521
% Current number of ordered equations: 277
% Current number of rules: 697
% New rule produced :
% [1173]
% difference(A,difference(j(A),quotient(t(A,difference(B,quotient(quotient(A,
% j(B)),
% j(j(B))))),j(A)))) ->
% difference(j(A),quotient(i(B),j(A)))
% Current number of equations to process: 520
% Current number of ordered equations: 276
% Current number of rules: 698
% New rule produced :
% [1174]
% difference(quotient(quotient(difference(A,difference(j(A),quotient(t(A,
% difference(
% j(B),
% j(
% j(B)))),
% j(A)))),B),B),
% difference(j(quotient(quotient(difference(A,difference(j(A),quotient(
% t(A,difference(
% j(B),
% j(j(B)))),
% j(A)))),B),B)),
% quotient(t(quotient(quotient(difference(A,difference(j(A),quotient(t(A,
% difference(
% j(B),
% j(
% j(B)))),
% j(A)))),B),B),
% difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,C),j(B))))),
% j(quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(
% j(B),j(j(B)))),
% j(A)))),B),B))))) ->
% difference(difference(j(B),j(j(B))),difference(j(B),quotient(t(B,difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))),
% j(B))))
% Current number of equations to process: 519
% Current number of ordered equations: 274
% Current number of rules: 699
% New rule produced :
% [1175]
% difference(t(eta(A),difference(B,difference(j(B),quotient(t(B,C),j(B))))),
% difference(t(eta(A),B),difference(j(t(eta(A),B)),quotient(t(t(eta(A),B),
% difference(
% t(eta(A),C),
% difference(
% j(t(eta(A),C)),
% quotient(t(
% t(
% eta(A),C),
% eta(
% t(
% eta(A),B))),
% j(t(eta(A),C)))))),
% j(t(eta(A),B)))))) ->
% eta(t(eta(A),B))
% Current number of equations to process: 519
% Current number of ordered equations: 273
% Current number of rules: 700
% New rule produced :
% [1176]
% difference(difference(A,B),difference(C,difference(j(C),quotient(t(C,A),j(C)))))
% ->
% quotient(difference(B,difference(j(B),quotient(difference(difference(A,B),C),
% j(B)))),difference(A,B))
% Current number of equations to process: 519
% Current number of ordered equations: 272
% Current number of rules: 701
% New rule produced :
% [1177]
% difference(eta(A),quotient(quotient(quotient(difference(j(eta(A)),quotient(A,
% i(A))),
% j(eta(A))),eta(A)),A)) -> j(j(A))
% Current number of equations to process: 518
% Current number of ordered equations: 272
% Current number of rules: 702
% New rule produced :
% [1178]
% difference(eta(A),difference(A,difference(j(A),quotient(t(A,quotient(
% quotient(
% difference(A,
% j(A)),A),
% j(A))),j(A)))))
% -> j(j(j(A)))
% Current number of equations to process: 517
% Current number of ordered equations: 272
% Current number of rules: 703
% New rule produced :
% [1179]
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,
% difference(
% j(A),
% j(j(A)))),
% j(C)))),A),A)),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A))))))))
% ->
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))
% Current number of equations to process: 517
% Current number of ordered equations: 271
% Current number of rules: 704
% New rule produced :
% [1180]
% t(eta(A),quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B)))) <->
% difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),B))),j(eta(A)))))
% Current number of equations to process: 516
% Current number of ordered equations: 270
% Current number of rules: 705
% New rule produced :
% [1181]
% difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),B))),j(eta(A)))))
% <-> t(eta(A),quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))))
% Current number of equations to process: 516
% Current number of ordered equations: 269
% Current number of rules: 706
% New rule produced : [1182] t(j(j(j(A))),eta(A)) -> j(eta(A))
% Current number of equations to process: 513
% Current number of ordered equations: 269
% Current number of rules: 707
% New rule produced :
% [1183]
% difference(t(t(t(j(A),B),j(A)),t(j(A),B)),quotient(quotient(difference(A,B),A),
% j(A))) -> t(t(j(A),B),j(A))
% Current number of equations to process: 513
% Current number of ordered equations: 268
% Current number of rules: 708
% New rule produced :
% [1184]
% difference(difference(A,B),difference(j(difference(A,B)),quotient(t(difference(A,B),B),
% j(difference(A,B)))))
% -> difference(j(difference(A,B)),quotient(A,j(difference(A,B))))
% Current number of equations to process: 513
% Current number of ordered equations: 267
% Current number of rules: 709
% New rule produced :
% [1185]
% difference(eta(A),difference(j(eta(A)),quotient(i(i(i(i(i(i(A)))))),j(eta(A)))))
% -> difference(j(eta(A)),i(i(A)))
% Current number of equations to process: 512
% Current number of ordered equations: 267
% Current number of rules: 710
% New rule produced :
% [1186]
% difference(A,difference(j(A),quotient(t(A,difference(B,difference(j(B),
% quotient(t(B,A),
% j(B))))),j(A)))) ->
% difference(j(A),quotient(B,j(A)))
% Current number of equations to process: 512
% Current number of ordered equations: 266
% Current number of rules: 711
% New rule produced :
% [1187]
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))),
% j(A)))) ->
% difference(difference(j(A),j(j(A))),difference(A,difference(j(A),quotient(
% t(A,
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A)))),
% j(A)))))
% Current number of equations to process: 509
% Current number of ordered equations: 266
% Current number of rules: 712
% New rule produced :
% [1188]
% quotient(difference(i(t(i(i(A)),B)),quotient(quotient(difference(j(eta(A)),
% t(i(i(A)),B)),j(eta(A))),
% eta(A))),t(i(i(A)),B)) ->
% quotient(quotient(quotient(difference(j(eta(A)),difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(eta(A))),eta(A)),A)
% Current number of equations to process: 508
% Current number of ordered equations: 266
% Current number of rules: 713
% New rule produced :
% [1189]
% quotient(quotient(quotient(difference(j(A),quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,
% quotient(
% eta(A),
% j(eta(A)))),
% j(B)))),
% j(j(j(j(A)))))),j(A)),j(j(A))),
% eta(A)) ->
% quotient(quotient(difference(j(A),quotient(difference(B,difference(j(B),
% quotient(t(B,
% quotient(
% eta(A),
% j(eta(A)))),
% j(B)))),j(j(A)))),
% j(A)),j(j(A)))
% Current number of equations to process: 507
% Current number of ordered equations: 266
% Current number of rules: 714
% New rule produced :
% [1190]
% difference(t(eta(A),B),difference(j(t(eta(A),B)),quotient(t(t(eta(A),B),
% quotient(difference(
% t(
% eta(A),C),
% difference(
% j(
% t(
% eta(A),C)),
% quotient(
% t(
% t(
% eta(A),C),
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,
% t(
% eta(A),B)),
% j(V_3))))),
% j(
% t(
% eta(A),C))))),
% t(eta(A),B))),
% j(t(eta(A),B))))) <->
% difference(t(eta(A),difference(B,difference(j(B),quotient(t(B,C),j(B))))),
% difference(j(t(eta(A),difference(B,difference(j(B),quotient(t(B,C),j(B)))))),
% quotient(t(t(eta(A),difference(B,difference(j(B),quotient(t(B,C),j(B))))),V_3),
% j(t(eta(A),difference(B,difference(j(B),quotient(t(B,C),j(B)))))))))
% Current number of equations to process: 507
% Current number of ordered equations: 265
% Current number of rules: 715
% New rule produced :
% [1191]
% difference(t(eta(A),difference(B,difference(j(B),quotient(t(B,C),j(B))))),
% difference(j(t(eta(A),difference(B,difference(j(B),quotient(t(B,C),j(B)))))),
% quotient(t(t(eta(A),difference(B,difference(j(B),quotient(t(B,C),j(B))))),V_3),
% j(t(eta(A),difference(B,difference(j(B),quotient(t(B,C),j(B))))))))) <->
% difference(t(eta(A),B),difference(j(t(eta(A),B)),quotient(t(t(eta(A),B),
% quotient(difference(
% t(
% eta(A),C),
% difference(
% j(
% t(
% eta(A),C)),
% quotient(
% t(
% t(
% eta(A),C),
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,
% t(
% eta(A),B)),
% j(V_3))))),
% j(
% t(
% eta(A),C))))),
% t(eta(A),B))),
% j(t(eta(A),B)))))
% Rule
% [1058]
% quotient(difference(t(eta(A),difference(B,difference(j(B),quotient(t(B,C),
% j(B))))),difference(
% j(
% t(
% eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))))),
% quotient(
% t(
% t(
% eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),B),
% j(
% t(
% eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))))))),
% quotient(difference(eta(t(eta(A),B)),difference(B,difference(j(B),quotient(
% t(B,
% t(eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))))),
% j(B))))),
% t(eta(A),difference(B,difference(j(B),quotient(t(B,C),j(B))))))) ->
% difference(t(eta(A),B),difference(j(t(eta(A),B)),quotient(t(t(eta(A),B),
% difference(
% t(eta(A),C),
% difference(
% j(t(eta(A),C)),
% quotient(t(
% t(
% eta(A),C),
% eta(
% t(
% eta(A),B))),
% j(t(eta(A),C)))))),
% j(t(eta(A),B))))) collapsed.
% Current number of equations to process: 508
% Current number of ordered equations: 264
% Current number of rules: 715
% Rule [716]
% t(eta(A),quotient(quotient(difference(A,difference(B,difference(
% j(B),quotient(
% t(B,eta(A)),
% j(B))))),A),
% j(A))) <->
% quotient(quotient(difference(j(eta(A)),quotient(quotient(difference(A,B),A),
% j(A))),j(eta(A))),eta(A)) is composed into
% [716]
% t(eta(A),quotient(quotient(difference(A,difference(B,difference(j(B),
% quotient(t(B,eta(A)),
% j(B))))),A),j(A))) ->
% difference(A,quotient(quotient(B,j(A)),j(j(A))))
% New rule produced :
% [1192]
% quotient(quotient(difference(j(eta(A)),quotient(quotient(difference(A,B),A),
% j(A))),j(eta(A))),eta(A)) ->
% difference(A,quotient(quotient(B,j(A)),j(j(A))))
% Current number of equations to process: 507
% Current number of ordered equations: 264
% Current number of rules: 716
% New rule produced :
% [1193] t(j(t(eta(A),B)),eta(A)) -> t(eta(A),t(j(B),eta(A)))
% Current number of equations to process: 505
% Current number of ordered equations: 264
% Current number of rules: 717
% New rule produced :
% [1194]
% difference(A,difference(j(A),quotient(t(A,difference(B,eta(A))),j(A)))) <->
% difference(j(A),quotient(i(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% j(A)))
% Current number of equations to process: 505
% Current number of ordered equations: 263
% Current number of rules: 718
% New rule produced :
% [1195]
% difference(j(A),quotient(i(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% j(A))) <->
% difference(A,difference(j(A),quotient(t(A,difference(B,eta(A))),j(A))))
% Current number of equations to process: 505
% Current number of ordered equations: 262
% Current number of rules: 719
% New rule produced :
% [1196]
% difference(j(j(A)),difference(j(j(j(A))),quotient(A,i(A)))) ->
% quotient(A,i(A))
% Current number of equations to process: 504
% Current number of ordered equations: 262
% Current number of rules: 720
% New rule produced :
% [1197]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,eta(A)),
% j(B))))),
% j(A)))),eta(A)) ->
% difference(A,difference(j(A),quotient(t(A,B),j(A))))
% Current number of equations to process: 504
% Current number of ordered equations: 261
% Current number of rules: 721
% New rule produced :
% [1198]
% quotient(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,C),j(A)))))
% ->
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A))))
% Current number of equations to process: 504
% Current number of ordered equations: 260
% Current number of rules: 722
% New rule produced :
% [1199]
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))) ->
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,C),j(A))))
% Current number of equations to process: 504
% Current number of ordered equations: 259
% Current number of rules: 723
% New rule produced :
% [1200]
% quotient(difference(B,difference(C,difference(j(C),quotient(t(C,A),j(C))))),A)
% <->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))))
% Current number of equations to process: 504
% Current number of ordered equations: 258
% Current number of rules: 724
% New rule produced :
% [1201]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))) <->
% quotient(difference(B,difference(C,difference(j(C),quotient(t(C,A),j(C))))),A)
% Rule
% [984]
% difference(difference(A,difference(j(A),quotient(t(A,i(B)),j(A)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% eta(B),
% j(
% eta(B)))),
% j(A)))))
% ->
% quotient(quotient(quotient(quotient(difference(j(B),difference(A,difference(
% j(A),
% quotient(
% t(A,
% i(B)),
% j(A))))),
% j(B)),j(j(B))),i(B)),A) collapsed.
% Current number of equations to process: 505
% Current number of ordered equations: 256
% Current number of rules: 724
% New rule produced :
% [1202]
% quotient(quotient(difference(t(eta(B),V_3),difference(j(t(eta(B),V_3)),
% quotient(t(t(eta(B),V_3),difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% t(
% eta(B),C)),
% j(A))))),
% j(t(eta(B),V_3))))),t(eta(B),C)),A)
% <->
% difference(difference(A,difference(j(A),quotient(t(A,t(eta(B),C)),j(A)))),
% difference(A,difference(j(A),quotient(t(A,t(eta(B),difference(C,difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C)))))),
% j(A)))))
% Current number of equations to process: 505
% Current number of ordered equations: 254
% Current number of rules: 725
% New rule produced :
% [1203]
% difference(difference(A,difference(j(A),quotient(t(A,t(eta(B),C)),j(A)))),
% difference(A,difference(j(A),quotient(t(A,t(eta(B),difference(C,difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C)))))),
% j(A))))) <->
% quotient(quotient(difference(t(eta(B),V_3),difference(j(t(eta(B),V_3)),
% quotient(t(t(eta(B),V_3),difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% t(
% eta(B),C)),
% j(A))))),
% j(t(eta(B),V_3))))),t(eta(B),C)),A)
% Current number of equations to process: 505
% Current number of ordered equations: 252
% Current number of rules: 726
% New rule produced :
% [1204]
% t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(C,difference(
% j(C),
% quotient(
% t(C,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))))
% <->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),
% difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))))))))
% Current number of equations to process: 505
% Current number of ordered equations: 251
% Current number of rules: 727
% New rule produced :
% [1205]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),
% difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))))))))
% <->
% t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(C,difference(
% j(C),
% quotient(
% t(C,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))))
% Current number of equations to process: 505
% Current number of ordered equations: 250
% Current number of rules: 728
% New rule produced :
% [1206]
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% quotient(
% quotient(
% quotient(
% difference(
% j(eta(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))),
% j(eta(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))),
% eta(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),C)),
% j(C))))),
% j(B)))),A)),
% j(A)))),eta(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A))))))
% ->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% Current number of equations to process: 504
% Current number of ordered equations: 250
% Current number of rules: 729
% New rule produced :
% [1207]
% difference(A,difference(B,difference(j(B),quotient(t(B,difference(j(difference(B,A)),
% j(j(difference(B,A))))),
% j(B))))) ->
% quotient(t(difference(B,A),A),B)
% Current number of equations to process: 504
% Current number of ordered equations: 249
% Current number of rules: 730
% New rule produced :
% [1208]
% difference(j(j(t(eta(A),B))),quotient(t(eta(A),eta(B)),j(j(t(eta(A),B))))) ->
% t(eta(A),quotient(j(B),B))
% Current number of equations to process: 503
% Current number of ordered equations: 249
% Current number of rules: 731
% New rule produced :
% [1209]
% difference(j(t(eta(A),B)),quotient(j(t(eta(A),eta(B))),j(t(eta(A),B)))) ->
% t(eta(A),difference(j(B),quotient(j(eta(B)),j(B))))
% Current number of equations to process: 502
% Current number of ordered equations: 249
% Current number of rules: 732
% New rule produced :
% [1210]
% t(eta(A),quotient(B,difference(C,difference(j(C),quotient(t(C,eta(A)),j(C))))))
% <->
% quotient(t(eta(A),B),quotient(quotient(difference(j(eta(A)),C),j(eta(A))),
% eta(A)))
% Current number of equations to process: 500
% Current number of ordered equations: 250
% Current number of rules: 733
% New rule produced :
% [1211]
% quotient(t(eta(A),B),quotient(quotient(difference(j(eta(A)),C),j(eta(A))),
% eta(A))) <->
% t(eta(A),quotient(B,difference(C,difference(j(C),quotient(t(C,eta(A)),j(C))))))
% Current number of equations to process: 500
% Current number of ordered equations: 249
% Current number of rules: 734
% New rule produced :
% [1212]
% t(eta(A),quotient(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))),C))
% <->
% quotient(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),
% t(eta(A),C))
% Current number of equations to process: 498
% Current number of ordered equations: 250
% Current number of rules: 735
% New rule produced :
% [1213]
% quotient(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),
% t(eta(A),C)) <->
% t(eta(A),quotient(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))),C))
% Current number of equations to process: 498
% Current number of ordered equations: 249
% Current number of rules: 736
% New rule produced :
% [1214]
% t(eta(A),difference(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))),C))
% <->
% difference(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),
% t(eta(A),C))
% Current number of equations to process: 496
% Current number of ordered equations: 250
% Current number of rules: 737
% New rule produced :
% [1215]
% difference(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),
% t(eta(A),C)) <->
% t(eta(A),difference(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))),C))
% Current number of equations to process: 496
% Current number of ordered equations: 249
% Current number of rules: 738
% New rule produced :
% [1216]
% t(eta(A),quotient(B,difference(eta(A),difference(j(difference(C,eta(A))),
% quotient(C,j(difference(C,eta(A))))))))
% <-> quotient(t(eta(A),B),difference(C,eta(A)))
% Current number of equations to process: 496
% Current number of ordered equations: 248
% Current number of rules: 739
% New rule produced :
% [1217]
% quotient(t(eta(A),B),difference(C,eta(A))) <->
% t(eta(A),quotient(B,difference(eta(A),difference(j(difference(C,eta(A))),
% quotient(C,j(difference(C,eta(A))))))))
% Current number of equations to process: 496
% Current number of ordered equations: 247
% Current number of rules: 740
% New rule produced :
% [1218]
% t(eta(A),difference(B,difference(eta(A),difference(j(difference(C,eta(A))),
% quotient(C,j(difference(C,eta(A))))))))
% <-> difference(t(eta(A),B),difference(C,eta(A)))
% Current number of equations to process: 496
% Current number of ordered equations: 246
% Current number of rules: 741
% New rule produced :
% [1219]
% difference(t(eta(A),B),difference(C,eta(A))) <->
% t(eta(A),difference(B,difference(eta(A),difference(j(difference(C,eta(A))),
% quotient(C,j(difference(C,eta(A))))))))
% Current number of equations to process: 496
% Current number of ordered equations: 245
% Current number of rules: 742
% New rule produced :
% [1220]
% difference(A,difference(j(A),quotient(t(A,difference(j(difference(B,A)),
% quotient(B,j(difference(B,A))))),
% j(A)))) ->
% difference(j(A),quotient(difference(B,A),j(A)))
% Current number of equations to process: 496
% Current number of ordered equations: 244
% Current number of rules: 743
% New rule produced :
% [1221]
% difference(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))),
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% quotient(
% quotient(
% quotient(
% difference(
% j(
% eta(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))),
% j(
% eta(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))),
% eta(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),C)),
% j(C))))),
% j(B)))),A)),
% j(A))))) ->
% eta(difference(A,difference(j(A),quotient(t(A,B),j(A)))))
% Current number of equations to process: 494
% Current number of ordered equations: 244
% Current number of rules: 744
% New rule produced :
% [1222] quotient(difference(eta(A),difference(A,j(eta(A)))),j(eta(A))) -> j(A)
% Current number of equations to process: 493
% Current number of ordered equations: 244
% Current number of rules: 745
% New rule produced :
% [1223]
% quotient(difference(i(i(i(i(A)))),difference(i(A),quotient(quotient(i(
% i(i(A))),A),
% j(A)))),i(i(i(A)))) ->
% eta(A)
% Current number of equations to process: 493
% Current number of ordered equations: 243
% Current number of rules: 746
% New rule produced :
% [1224]
% i(difference(A,difference(j(A),quotient(t(A,t(t(quotient(eta(A),B),B),
% quotient(eta(A),B))),j(A))))) ->
% quotient(t(quotient(eta(A),B),B),A)
% Current number of equations to process: 493
% Current number of ordered equations: 242
% Current number of rules: 747
% New rule produced :
% [1225]
% 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: 492
% Current number of ordered equations: 242
% Current number of rules: 748
% New rule produced :
% [1226]
% quotient(difference(j(A),quotient(quotient(difference(j(A),j(j(A))),j(A)),
% j(j(A)))),j(j(A))) -> quotient(A,j(A))
% Current number of equations to process: 491
% Current number of ordered equations: 242
% Current number of rules: 749
% New rule produced :
% [1227]
% quotient(t(eta(A),difference(j(eta(A)),quotient(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(eta(A))))),B) -> i(i(i(i(A))))
% Current number of equations to process: 490
% Current number of ordered equations: 241
% Current number of rules: 750
% New rule produced :
% [1228]
% quotient(quotient(quotient(quotient(difference(j(A),difference(j(eta(A)),
% quotient(B,j(eta(A))))),
% j(A)),j(j(A))),eta(A)),B) -> j(j(j(j(A))))
% Current number of equations to process: 489
% Current number of ordered equations: 241
% Current number of rules: 751
% New rule produced :
% [1229]
% difference(quotient(A,B),difference(A,difference(j(A),quotient(t(A,quotient(C,
% quotient(A,B))),
% j(A))))) ->
% quotient(difference(B,difference(j(B),quotient(t(B,C),j(B)))),quotient(A,B))
% Current number of equations to process: 489
% Current number of ordered equations: 240
% Current number of rules: 752
% New rule produced :
% [1230]
% difference(i(B),quotient(quotient(difference(j(eta(B)),t(i(B),A)),j(eta(B))),
% eta(B))) -> quotient(quotient(quotient(A,j(B)),j(j(B))),i(B))
% Current number of equations to process: 488
% Current number of ordered equations: 240
% Current number of rules: 753
% New rule produced :
% [1231]
% quotient(quotient(A,i(B)),t(quotient(quotient(A,j(B)),j(j(B))),B)) ->
% t(t(quotient(quotient(A,j(B)),j(j(B))),B),quotient(quotient(A,j(B)),j(j(B))))
% Current number of equations to process: 488
% Current number of ordered equations: 239
% Current number of rules: 754
% New rule produced :
% [1232]
% quotient(difference(A,eta(B)),t(i(difference(B,difference(j(B),quotient(
% t(B,A),
% j(B))))),B))
% -> t(t(quotient(difference(A,eta(B)),B),B),quotient(difference(A,eta(B)),B))
% Current number of equations to process: 488
% Current number of ordered equations: 238
% Current number of rules: 755
% New rule produced :
% [1233] t(j(t(eta(A),B)),j(eta(A))) -> t(eta(A),t(j(B),j(eta(A))))
% Current number of equations to process: 487
% Current number of ordered equations: 238
% Current number of rules: 756
% New rule produced :
% [1234]
% difference(t(t(t(i(A),B),i(A)),t(i(A),B)),difference(A,quotient(quotient(B,
% j(A)),
% j(j(A))))) ->
% t(t(i(A),B),i(A))
% Current number of equations to process: 487
% Current number of ordered equations: 237
% Current number of rules: 757
% New rule produced :
% [1235]
% difference(j(j(j(j(j(j(j(j(A)))))))),quotient(A,i(A))) -> j(j(j(j(j(j(A))))))
% Current number of equations to process: 486
% Current number of ordered equations: 237
% Current number of rules: 758
% New rule produced :
% [1236]
% quotient(quotient(quotient(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% j(A)),j(j(A))),quotient(quotient(B,A),j(A))) -> j(j(A))
% Current number of equations to process: 486
% Current number of ordered equations: 236
% Current number of rules: 759
% New rule produced :
% [1237]
% difference(quotient(A,B),difference(j(quotient(A,B)),quotient(t(quotient(A,B),A),
% j(quotient(A,B))))) <->
% difference(j(quotient(A,B)),quotient(t(quotient(A,B),B),j(quotient(A,B))))
% Current number of equations to process: 486
% Current number of ordered equations: 235
% Current number of rules: 760
% New rule produced :
% [1238]
% difference(j(quotient(A,B)),quotient(t(quotient(A,B),B),j(quotient(A,B))))
% <->
% difference(quotient(A,B),difference(j(quotient(A,B)),quotient(t(quotient(A,B),A),
% j(quotient(A,B)))))
% Current number of equations to process: 486
% Current number of ordered equations: 234
% Current number of rules: 761
% New rule produced :
% [1239]
% quotient(difference(i(quotient(A,eta(B))),t(eta(B),A)),quotient(A,eta(B))) ->
% A
% Rule
% [1017]
% t(eta(A),quotient(difference(i(quotient(B,eta(A))),t(eta(A),B)),quotient(B,
% eta(A)))) ->
% t(eta(A),B) collapsed.
% Current number of equations to process: 484
% Current number of ordered equations: 234
% Current number of rules: 761
% New rule produced :
% [1240]
% difference(t(eta(B),difference(C,difference(j(C),quotient(t(C,V_3),j(C))))),
% difference(t(eta(B),C),difference(j(t(eta(B),C)),quotient(t(t(eta(B),C),
% difference(
% t(eta(B),V_3),
% difference(
% j(t(eta(B),V_3)),
% quotient(t(
% t(
% eta(B),V_3),A),
% j(t(eta(B),V_3)))))),
% j(t(eta(B),C)))))) <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,t(eta(B),
% difference(C,
% difference(
% j(C),quotient(
% t(C,V_3),
% j(C)))))),
% j(A)))),t(eta(B),V_3)),
% t(eta(B),C))
% Rule
% [1175]
% difference(t(eta(A),difference(B,difference(j(B),quotient(t(B,C),j(B))))),
% difference(t(eta(A),B),difference(j(t(eta(A),B)),quotient(t(t(eta(A),B),
% difference(
% t(eta(A),C),
% difference(
% j(t(eta(A),C)),
% quotient(t(
% t(
% eta(A),C),
% eta(
% t(
% eta(A),B))),
% j(t(eta(A),C)))))),
% j(t(eta(A),B)))))) ->
% eta(t(eta(A),B)) collapsed.
% Current number of equations to process: 485
% Current number of ordered equations: 230
% Current number of rules: 761
% New rule produced :
% [1241]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,t(eta(B),
% difference(C,
% difference(
% j(C),quotient(
% t(C,V_3),
% j(C)))))),
% j(A)))),t(eta(B),V_3)),
% t(eta(B),C)) <->
% difference(t(eta(B),difference(C,difference(j(C),quotient(t(C,V_3),j(C))))),
% difference(t(eta(B),C),difference(j(t(eta(B),C)),quotient(t(t(eta(B),C),
% difference(
% t(eta(B),V_3),
% difference(
% j(t(eta(B),V_3)),
% quotient(t(
% t(
% eta(B),V_3),A),
% j(t(eta(B),V_3)))))),
% j(t(eta(B),C))))))
% Current number of equations to process: 485
% Current number of ordered equations: 226
% Current number of rules: 762
% New rule produced :
% [1242]
% quotient(quotient(quotient(quotient(A,B),t(quotient(A,B),B)),j(t(quotient(A,B),B))),
% j(t(quotient(A,B),B))) -> t(j(t(quotient(A,B),B)),A)
% Current number of equations to process: 485
% Current number of ordered equations: 225
% Current number of rules: 763
% New rule produced :
% [1243]
% quotient(quotient(quotient(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% j(A)),j(j(A))),j(j(A))) ->
% t(j(j(A)),quotient(quotient(B,A),j(A)))
% Current number of equations to process: 485
% Current number of ordered equations: 224
% Current number of rules: 764
% New rule produced :
% [1244]
% quotient(quotient(quotient(difference(j(eta(A)),quotient(quotient(difference(
% j(A),B),
% j(A)),j(j(A)))),
% j(eta(A))),eta(A)),B) -> A
% Current number of equations to process: 482
% Current number of ordered equations: 224
% Current number of rules: 765
% New rule produced :
% [1245]
% difference(A,quotient(quotient(difference(j(eta(A)),quotient(quotient(
% difference(
% j(A),B),
% j(A)),j(j(A)))),
% j(eta(A))),eta(A))) -> B
% Current number of equations to process: 481
% Current number of ordered equations: 224
% Current number of rules: 766
% New rule produced :
% [1246]
% quotient(difference(A,quotient(quotient(difference(B,difference(j(B),
% quotient(t(B,i(i(A))),
% j(B)))),j(A)),j(j(A)))),
% i(i(A))) -> difference(A,B)
% Current number of equations to process: 481
% Current number of ordered equations: 223
% Current number of rules: 767
% New rule produced :
% [1247]
% difference(eta(A),difference(A,j(j(j(A))))) ->
% quotient(quotient(difference(A,j(j(j(A)))),A),i(A))
% Current number of equations to process: 480
% Current number of ordered equations: 223
% Current number of rules: 768
% New rule produced :
% [1248] quotient(difference(j(j(j(j(A)))),eta(A)),eta(A)) -> j(j(j(A)))
% Current number of equations to process: 479
% Current number of ordered equations: 223
% Current number of rules: 769
% New rule produced :
% [1249]
% quotient(difference(j(t(quotient(A,B),B)),quotient(t(t(quotient(A,B),B),
% quotient(A,B)),j(t(
% quotient(A,B),B)))),A)
% -> t(quotient(A,B),B)
% Current number of equations to process: 479
% Current number of ordered equations: 222
% Current number of rules: 770
% New rule produced :
% [1250]
% quotient(quotient(quotient(difference(j(eta(A)),difference(B,difference(
% j(B),quotient(
% t(B,A),
% j(B))))),
% j(eta(A))),eta(A)),A) ->
% quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A))
% Current number of equations to process: 477
% Current number of ordered equations: 222
% Current number of rules: 771
% New rule produced :
% [1251]
% difference(i(A),quotient(quotient(difference(j(eta(A)),quotient(B,i(A))),
% j(eta(A))),eta(A))) ->
% quotient(difference(A,difference(j(A),quotient(t(A,B),j(A)))),i(A))
% Current number of equations to process: 476
% Current number of ordered equations: 222
% Current number of rules: 772
% New rule produced :
% [1252]
% t(eta(A),t(j(B),difference(eta(A),C))) <->
% t(j(t(eta(A),B)),quotient(C,eta(A)))
% Current number of equations to process: 475
% Current number of ordered equations: 223
% Current number of rules: 773
% New rule produced :
% [1253]
% t(j(t(eta(A),B)),quotient(C,eta(A))) <->
% t(eta(A),t(j(B),difference(eta(A),C)))
% Current number of equations to process: 475
% Current number of ordered equations: 222
% Current number of rules: 774
% New rule produced : [1254] difference(A,i(i(A))) -> j(eta(A))
% Current number of equations to process: 474
% Current number of ordered equations: 222
% Current number of rules: 775
% New rule produced :
% [1255]
% quotient(quotient(difference(j(A),difference(B,difference(j(B),quotient(
% t(B,eta(A)),
% j(B))))),
% j(A)),A) ->
% difference(eta(A),difference(A,difference(j(A),quotient(t(A,B),j(A)))))
% Current number of equations to process: 473
% Current number of ordered equations: 222
% Current number of rules: 776
% New rule produced :
% [1256]
% quotient(quotient(difference(i(A),difference(B,difference(j(B),quotient(
% t(B,eta(A)),
% j(B))))),
% i(A)),i(i(A))) ->
% difference(eta(A),difference(i(A),quotient(quotient(B,A),j(A))))
% Current number of equations to process: 473
% Current number of ordered equations: 221
% Current number of rules: 777
% New rule produced :
% [1257]
% difference(j(j(A)),quotient(t(j(A),B),j(j(A)))) ->
% quotient(quotient(difference(A,quotient(quotient(difference(A,B),A),j(A))),A),
% j(A))
% Rule
% [696]
% difference(j(A),difference(j(j(A)),quotient(t(j(A),B),j(j(A))))) ->
% quotient(quotient(difference(A,B),A),j(A)) collapsed.
% Current number of equations to process: 472
% Current number of ordered equations: 221
% Current number of rules: 777
% New rule produced :
% [1258]
% difference(i(A),quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)))
% <->
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,i(A)),
% j(B))))),
% j(A)))),i(A))
% Current number of equations to process: 470
% Current number of ordered equations: 222
% Current number of rules: 778
% New rule produced :
% [1259]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,i(A)),
% j(B))))),
% j(A)))),i(A)) <->
% difference(i(A),quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)))
% Current number of equations to process: 470
% Current number of ordered equations: 221
% Current number of rules: 779
% New rule produced :
% [1260]
% t(eta(A),difference(A,difference(j(eta(A)),quotient(difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(eta(A)))))) -> B
% Current number of equations to process: 469
% Current number of ordered equations: 221
% Current number of rules: 780
% New rule produced :
% [1261]
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% t(eta(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% eta(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(A))))),
% j(C)))))),
% j(B)))),A)),
% j(A)))),C) ->
% j(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))
% Current number of equations to process: 468
% Current number of ordered equations: 221
% Current number of rules: 781
% New rule produced :
% [1262]
% quotient(quotient(quotient(difference(j(eta(A)),quotient(quotient(difference(
% j(A),B),
% j(A)),j(j(A)))),
% j(eta(A))),eta(A)),A) -> t(A,B)
% Current number of equations to process: 467
% Current number of ordered equations: 221
% Current number of rules: 782
% New rule produced :
% [1263]
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% quotient(
% difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% quotient(
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))),C)),
% j(C))))),
% j(B)))),A)),
% j(A)))),i(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A))))))
% <->
% difference(i(difference(A,difference(j(A),quotient(t(A,B),j(A))))),quotient(
% quotient(
% difference(
% j(
% eta(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),C),
% j(
% eta(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))),
% eta(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))
% Current number of equations to process: 465
% Current number of ordered equations: 222
% Current number of rules: 783
% New rule produced :
% [1264]
% difference(i(difference(A,difference(j(A),quotient(t(A,B),j(A))))),quotient(
% quotient(
% difference(
% j(
% eta(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),C),
% j(
% eta(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))),
% eta(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))
% <->
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% quotient(
% difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% quotient(
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))),C)),
% j(C))))),
% j(B)))),A)),
% j(A)))),i(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A))))))
% Current number of equations to process: 465
% Current number of ordered equations: 221
% Current number of rules: 784
% New rule produced :
% [1265]
% difference(A,difference(quotient(A,B),difference(j(quotient(A,B)),quotient(
% t(quotient(A,B),
% difference(
% j(B),
% j(j(B)))),
% j(quotient(A,B))))))
% -> quotient(t(B,A),quotient(A,B))
% Current number of equations to process: 465
% Current number of ordered equations: 220
% Current number of rules: 785
% New rule produced :
% [1266]
% difference(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),difference(A,difference(
% j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(
% j(B),
% j(j(B)))),
% j(C)))),B)),
% j(B))))),
% j(C)))),B)),
% j(B))))),
% j(A))))) ->
% quotient(t(difference(B,difference(j(B),quotient(t(B,C),j(B)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),A)
% Current number of equations to process: 465
% Current number of ordered equations: 219
% Current number of rules: 786
% New rule produced :
% [1267]
% quotient(quotient(quotient(quotient(difference(j(A),difference(B,difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A)),j(j(A))),eta(A)),B) -> j(j(A))
% Current number of equations to process: 464
% Current number of ordered equations: 219
% Current number of rules: 787
% New rule produced :
% [1268]
% quotient(quotient(i(A),j(difference(j(A),j(j(A))))),j(j(difference(j(A),
% j(j(A)))))) ->
% i(quotient(quotient(A,j(difference(j(A),j(j(A))))),j(j(difference(j(A),
% j(j(A)))))))
% Current number of equations to process: 464
% Current number of ordered equations: 218
% Current number of rules: 788
% New rule produced :
% [1269]
% t(eta(A),quotient(quotient(difference(A,difference(B,difference(j(B),
% quotient(t(B,eta(A)),
% j(B))))),A),i(A))) ->
% quotient(difference(A,quotient(quotient(B,j(A)),j(j(A)))),eta(A))
% Current number of equations to process: 464
% Current number of ordered equations: 217
% Current number of rules: 789
% New rule produced :
% [1270]
% i(quotient(quotient(difference(j(j(B)),A),B),j(B))) <->
% quotient(difference(A,eta(B)),j(j(j(B))))
% Current number of equations to process: 462
% Current number of ordered equations: 218
% Current number of rules: 790
% New rule produced :
% [1271]
% quotient(difference(A,eta(B)),j(j(j(B)))) <->
% i(quotient(quotient(difference(j(j(B)),A),B),j(B)))
% Current number of equations to process: 462
% Current number of ordered equations: 217
% Current number of rules: 791
% New rule produced :
% [1272]
% difference(quotient(quotient(difference(j(eta(B)),A),j(eta(B))),eta(B)),j(B))
% -> quotient(difference(A,j(j(j(j(j(B)))))),eta(B))
% Current number of equations to process: 461
% Current number of ordered equations: 217
% Current number of rules: 792
% New rule produced :
% [1273]
% difference(j(j(j(A))),i(quotient(j(A),A))) ->
% quotient(quotient(difference(j(A),quotient(A,j(A))),j(A)),j(j(A)))
% Current number of equations to process: 460
% Current number of ordered equations: 217
% Current number of rules: 793
% New rule produced :
% [1274]
% quotient(difference(i(A),quotient(A,i(A))),A) -> quotient(i(i(A)),j(A))
% Current number of equations to process: 459
% Current number of ordered equations: 217
% Current number of rules: 794
% New rule produced :
% [1275]
% difference(C,difference(j(C),quotient(t(C,difference(difference(difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),B),
% difference(j(difference(difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),B)),
% quotient(t(difference(difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),B),A),
% j(difference(difference(A,difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),B)))))),
% j(C)))) ->
% quotient(difference(i(difference(A,B)),B),difference(A,B))
% Current number of equations to process: 457
% Current number of ordered equations: 217
% Current number of rules: 795
% New rule produced :
% [1276]
% t(eta(A),quotient(eta(A),quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))))) <->
% quotient(eta(A),difference(eta(A),difference(j(eta(A)),quotient(j(j(t(
% eta(A),B))),
% j(eta(A))))))
% Current number of equations to process: 457
% Current number of ordered equations: 216
% Current number of rules: 796
% New rule produced :
% [1277]
% quotient(eta(A),difference(eta(A),difference(j(eta(A)),quotient(j(j(t(
% eta(A),B))),
% j(eta(A)))))) <->
% t(eta(A),quotient(eta(A),quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B)))))
% Current number of equations to process: 457
% Current number of ordered equations: 215
% Current number of rules: 797
% New rule produced :
% [1278]
% difference(t(t(quotient(quotient(A,j(B)),j(j(B))),B),quotient(quotient(A,
% j(B)),j(j(B)))),
% quotient(A,i(B))) -> t(quotient(quotient(A,j(B)),j(j(B))),B)
% Current number of equations to process: 457
% Current number of ordered equations: 214
% Current number of rules: 798
% New rule produced :
% [1279]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(
% difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B)))),
% difference(
% j(difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% quotient(
% t(difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B)))),V_3),
% j(difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))))))),
% j(A)))),quotient(difference(C,
% difference(
% j(C),
% quotient(
% t(C,difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B)),B)
% <->
% difference(difference(B,difference(j(B),quotient(t(B,quotient(difference(C,
% difference(
% j(C),quotient(
% t(C,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B)),
% j(B)))),difference(B,difference(
% j(B),quotient(
% t(B,
% difference(
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B),
% difference(
% j(quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B)),
% quotient(
% t(quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B),A),
% j(quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B)))))),
% j(B)))))
% Current number of equations to process: 456
% Current number of ordered equations: 213
% Current number of rules: 799
% New rule produced :
% [1280]
% difference(difference(B,difference(j(B),quotient(t(B,quotient(difference(C,
% difference(
% j(C),quotient(
% t(C,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B)),
% j(B)))),difference(B,difference(
% j(B),quotient(
% t(B,
% difference(
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B),
% difference(
% j(quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B)),
% quotient(
% t(quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B),A),
% j(quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B)))))),
% j(B)))))
% <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(
% difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B)))),
% difference(
% j(difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% quotient(
% t(difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B)))),V_3),
% j(difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))))))),
% j(A)))),quotient(difference(C,
% difference(
% j(C),
% quotient(
% t(C,difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B)),B)
% Current number of equations to process: 456
% Current number of ordered equations: 212
% Current number of rules: 800
% New rule produced :
% [1281]
% difference(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))),
% difference(A,difference(j(A),quotient(t(A,difference(quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A),
% difference(j(quotient(difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% quotient(t(quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A),V_3),
% j(quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)))))),
% j(A))))) <->
% quotient(quotient(difference(V_3,difference(j(V_3),quotient(t(V_3,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A))))),
% j(V_3)))),quotient(
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),A)
% Current number of equations to process: 456
% Current number of ordered equations: 211
% Current number of rules: 801
% New rule produced :
% [1282]
% quotient(quotient(difference(V_3,difference(j(V_3),quotient(t(V_3,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A))))),
% j(V_3)))),quotient(
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),A)
% <->
% difference(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))),
% difference(A,difference(j(A),quotient(t(A,difference(quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A),
% difference(j(quotient(difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% quotient(t(quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A),V_3),
% j(quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)))))),
% j(A)))))
% Current number of equations to process: 456
% Current number of ordered equations: 210
% Current number of rules: 802
% New rule produced :
% [1283]
% difference(j(t(eta(A),eta(B))),quotient(i(i(t(eta(A),B))),j(t(eta(A),eta(B)))))
% -> i(i(t(eta(A),B)))
% Current number of equations to process: 455
% Current number of ordered equations: 210
% Current number of rules: 803
% New rule produced :
% [1284]
% t(eta(A),difference(j(B),difference(j(B),difference(j(j(B)),quotient(
% i(i(B)),j(j(B)))))))
% -> j(j(j(j(t(eta(A),B)))))
% Current number of equations to process: 454
% Current number of ordered equations: 210
% Current number of rules: 804
% New rule produced :
% [1285]
% t(eta(A),difference(B,difference(j(B),quotient(t(B,difference(eta(A),C)),
% j(B))))) <->
% difference(quotient(C,eta(A)),t(eta(A),difference(j(difference(eta(A),C)),
% quotient(B,j(difference(eta(A),C))))))
% Current number of equations to process: 454
% Current number of ordered equations: 209
% Current number of rules: 805
% New rule produced :
% [1286]
% difference(quotient(C,eta(A)),t(eta(A),difference(j(difference(eta(A),C)),
% quotient(B,j(difference(eta(A),C))))))
% <->
% t(eta(A),difference(B,difference(j(B),quotient(t(B,difference(eta(A),C)),
% j(B)))))
% Current number of equations to process: 454
% Current number of ordered equations: 208
% Current number of rules: 806
% New rule produced :
% [1287]
% t(eta(A),quotient(difference(j(eta(A)),quotient(quotient(quotient(difference(A,B),A),
% j(A)),j(eta(A)))),difference(
% eta(A),
% difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(B,
% j(eta(A))))))))
% -> i(i(i(A)))
% Current number of equations to process: 453
% Current number of ordered equations: 208
% Current number of rules: 807
% New rule produced :
% [1288]
% quotient(difference(i(difference(A,B)),quotient(quotient(difference(j(eta(A)),
% difference(A,B)),
% j(eta(A))),eta(A))),difference(A,B))
% -> difference(A,difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))))
% Current number of equations to process: 452
% Current number of ordered equations: 208
% Current number of rules: 808
% New rule produced :
% [1289]
% t(eta(A),t(eta(B),quotient(quotient(difference(j(eta(A)),eta(B)),j(eta(A))),
% eta(A)))) ->
% quotient(quotient(difference(j(eta(A)),eta(B)),j(eta(A))),eta(A))
% Current number of equations to process: 450
% Current number of ordered equations: 208
% Current number of rules: 809
% New rule produced :
% [1290]
% t(eta(A),difference(eta(B),difference(eta(A),difference(eta(A),difference(
% j(eta(A)),
% quotient(
% quotient(
% j(j(t(
% eta(A),B))),
% t(eta(A),
% eta(B))),
% j(eta(A))))))))
% -> j(j(t(eta(A),B)))
% Current number of equations to process: 449
% Current number of ordered equations: 208
% Current number of rules: 810
% New rule produced :
% [1291]
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,j(A)),j(B)))),
% eta(A)),i(A)) -> B
% Current number of equations to process: 447
% Current number of ordered equations: 208
% Current number of rules: 811
% New rule produced :
% [1292]
% difference(t(t(i(difference(A,difference(j(A),quotient(t(A,B),j(A))))),A),
% quotient(difference(B,eta(A)),A)),difference(B,eta(A))) ->
% t(quotient(difference(B,eta(A)),A),A)
% Current number of equations to process: 445
% Current number of ordered equations: 207
% Current number of rules: 812
% New rule produced :
% [1293]
% difference(t(t(quotient(difference(A,eta(B)),B),B),i(difference(B,difference(
% j(B),
% quotient(
% t(B,A),
% j(B)))))),
% difference(A,eta(B))) -> t(quotient(difference(A,eta(B)),B),B)
% Current number of equations to process: 445
% Current number of ordered equations: 206
% Current number of rules: 813
% New rule produced :
% [1294]
% difference(quotient(C,eta(A)),t(eta(A),quotient(quotient(difference(i(
% difference(
% eta(A),C)),B),
% j(difference(eta(A),C))),
% j(j(difference(eta(A),C)))))) ->
% t(eta(A),B)
% Current number of equations to process: 445
% Current number of ordered equations: 205
% Current number of rules: 814
% New rule produced :
% [1295]
% quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)) <->
% t(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))))
% Current number of equations to process: 444
% Current number of ordered equations: 206
% Current number of rules: 815
% New rule produced :
% [1296]
% t(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),j(B))))) <->
% quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A))
% Current number of equations to process: 444
% Current number of ordered equations: 205
% Current number of rules: 816
% New rule produced :
% [1297]
% quotient(difference(A,quotient(quotient(difference(B,C),B),j(B))),C) <->
% difference(difference(C,difference(j(C),quotient(t(C,A),j(C)))),difference(C,
% difference(
% j(C),
% quotient(
% t(C,j(B)),
% j(C)))))
% Rule
% [423]
% quotient(difference(A,quotient(quotient(difference(j(B),C),j(B)),j(j(B)))),C)
% <->
% difference(difference(C,difference(j(C),quotient(t(C,A),j(C)))),difference(C,
% difference(
% j(C),
% quotient(
% t(C,j(j(B))),
% j(C)))))
% collapsed.
% Current number of equations to process: 444
% Current number of ordered equations: 191
% Current number of rules: 816
% New rule produced :
% [1298]
% quotient(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))))
% ->
% t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,C),j(A)))))
% Current number of equations to process: 444
% Current number of ordered equations: 190
% Current number of rules: 817
% New rule produced :
% [1299]
% quotient(t(eta(t(A,B)),difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% t(eta(
% t(A,B)),
% quotient(
% quotient(
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% quotient(
% quotient(A,
% eta(
% t(A,B))),
% j(eta(
% t(A,B)))),A)),
% j(A)))),
% j(eta(
% t(A,B)))),
% j(eta(
% t(A,B)))),
% eta(
% t(A,B))))),
% j(B)))),A)),
% j(A))))),A) ->
% i(i(t(A,B)))
% Current number of equations to process: 443
% Current number of ordered equations: 190
% Current number of rules: 818
% New rule produced :
% [1300]
% quotient(difference(C,quotient(difference(i(B),A),B)),quotient(A,B)) ->
% quotient(difference(C,difference(B,difference(j(B),quotient(t(B,quotient(A,B)),
% j(B))))),quotient(A,B))
% Current number of equations to process: 442
% Current number of ordered equations: 190
% Current number of rules: 819
% New rule produced :
% [1301]
% difference(A,difference(quotient(A,B),difference(j(quotient(A,B)),quotient(
% t(quotient(A,B),C),
% j(quotient(A,B))))))
% <->
% quotient(difference(B,difference(C,difference(j(C),quotient(t(C,quotient(A,B)),
% j(C))))),quotient(A,B))
% Current number of equations to process: 442
% Current number of ordered equations: 189
% Current number of rules: 820
% New rule produced :
% [1302]
% quotient(difference(B,difference(C,difference(j(C),quotient(t(C,quotient(A,B)),
% j(C))))),quotient(A,B))
% <->
% difference(A,difference(quotient(A,B),difference(j(quotient(A,B)),quotient(
% t(quotient(A,B),C),
% j(quotient(A,B))))))
% Current number of equations to process: 442
% Current number of ordered equations: 188
% Current number of rules: 821
% New rule produced :
% [1303]
% t(eta(A),difference(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),C))
% <->
% difference(difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),B))),
% j(eta(A))))),t(eta(A),C))
% Current number of equations to process: 441
% Current number of ordered equations: 187
% Current number of rules: 822
% New rule produced :
% [1304]
% t(eta(A),difference(B,quotient(quotient(difference(j(C),eta(A)),j(C)),
% j(j(C))))) <->
% difference(t(eta(A),B),difference(eta(A),difference(j(eta(A)),quotient(
% j(j(t(eta(A),C))),
% j(eta(A))))))
% Current number of equations to process: 441
% Current number of ordered equations: 186
% Current number of rules: 823
% New rule produced :
% [1305]
% difference(t(eta(A),B),difference(eta(A),difference(j(eta(A)),quotient(
% j(j(t(eta(A),C))),
% j(eta(A))))))
% <->
% t(eta(A),difference(B,quotient(quotient(difference(j(C),eta(A)),j(C)),
% j(j(C)))))
% Current number of equations to process: 441
% Current number of ordered equations: 185
% Current number of rules: 824
% New rule produced :
% [1306]
% difference(difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),B))),
% j(eta(A))))),t(eta(A),C))
% <->
% t(eta(A),difference(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),C))
% Current number of equations to process: 441
% Current number of ordered equations: 184
% Current number of rules: 825
% New rule produced :
% [1307]
% t(eta(A),quotient(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),C))
% <->
% quotient(difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),B))),
% j(eta(A))))),t(eta(A),C))
% Current number of equations to process: 441
% Current number of ordered equations: 183
% Current number of rules: 826
% New rule produced :
% [1308]
% t(eta(A),quotient(B,quotient(quotient(difference(j(C),eta(A)),j(C)),j(j(C)))))
% <->
% quotient(t(eta(A),B),difference(eta(A),difference(j(eta(A)),quotient(
% j(j(t(eta(A),C))),
% j(eta(A))))))
% Current number of equations to process: 441
% Current number of ordered equations: 182
% Current number of rules: 827
% New rule produced :
% [1309]
% quotient(t(eta(A),B),difference(eta(A),difference(j(eta(A)),quotient(
% j(j(t(eta(A),C))),
% j(eta(A)))))) <->
% t(eta(A),quotient(B,quotient(quotient(difference(j(C),eta(A)),j(C)),j(j(C)))))
% Current number of equations to process: 441
% Current number of ordered equations: 181
% Current number of rules: 828
% New rule produced :
% [1310]
% quotient(difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),B))),
% j(eta(A))))),t(eta(A),C)) <->
% t(eta(A),quotient(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),C))
% Current number of equations to process: 441
% Current number of ordered equations: 180
% Current number of rules: 829
% New rule produced :
% [1311]
% t(eta(A),quotient(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% j(eta(A)))) <->
% quotient(difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),B))),
% j(eta(A))))),j(eta(A)))
% Current number of equations to process: 441
% Current number of ordered equations: 179
% Current number of rules: 830
% New rule produced :
% [1312]
% quotient(difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),B))),
% j(eta(A))))),j(eta(A))) <->
% t(eta(A),quotient(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% j(eta(A))))
% Current number of equations to process: 441
% Current number of ordered equations: 178
% Current number of rules: 831
% New rule produced :
% [1313]
% t(eta(A),quotient(j(eta(A)),quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))))) <->
% quotient(j(eta(A)),difference(eta(A),difference(j(eta(A)),quotient(j(
% j(
% t(
% eta(A),B))),
% j(eta(A))))))
% Current number of equations to process: 441
% Current number of ordered equations: 177
% Current number of rules: 832
% New rule produced :
% [1314]
% quotient(j(eta(A)),difference(eta(A),difference(j(eta(A)),quotient(j(
% j(
% t(
% eta(A),B))),
% j(eta(A)))))) <->
% t(eta(A),quotient(j(eta(A)),quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B)))))
% Current number of equations to process: 441
% Current number of ordered equations: 176
% Current number of rules: 833
% New rule produced :
% [1315]
% t(eta(A),difference(j(eta(A)),quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))))) <->
% difference(j(eta(A)),difference(eta(A),difference(j(eta(A)),quotient(
% j(j(t(eta(A),B))),
% j(eta(A))))))
% Current number of equations to process: 441
% Current number of ordered equations: 175
% Current number of rules: 834
% New rule produced :
% [1316]
% difference(j(eta(A)),difference(eta(A),difference(j(eta(A)),quotient(
% j(j(t(eta(A),B))),
% j(eta(A)))))) <->
% t(eta(A),difference(j(eta(A)),quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B)))))
% Current number of equations to process: 441
% Current number of ordered equations: 174
% Current number of rules: 835
% New rule produced :
% [1317]
% t(eta(A),t(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),C)) <->
% t(difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),B))),j(eta(A))))),
% t(eta(A),C))
% Current number of equations to process: 441
% Current number of ordered equations: 173
% Current number of rules: 836
% New rule produced :
% [1318]
% t(eta(A),t(B,quotient(quotient(difference(j(C),eta(A)),j(C)),j(j(C))))) <->
% t(t(eta(A),B),difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),C))),
% j(eta(A))))))
% Current number of equations to process: 441
% Current number of ordered equations: 172
% Current number of rules: 837
% New rule produced :
% [1319]
% t(t(eta(A),B),difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),C))),
% j(eta(A)))))) <->
% t(eta(A),t(B,quotient(quotient(difference(j(C),eta(A)),j(C)),j(j(C)))))
% Current number of equations to process: 441
% Current number of ordered equations: 171
% Current number of rules: 838
% New rule produced :
% [1320]
% t(difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),B))),j(eta(A))))),
% t(eta(A),C)) <->
% t(eta(A),t(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),C))
% Current number of equations to process: 441
% Current number of ordered equations: 170
% Current number of rules: 839
% New rule produced :
% [1321]
% difference(difference(difference(A,j(A)),quotient(quotient(i(A),j(difference(A,
% j(A)))),
% j(j(difference(A,j(A)))))),eta(
% difference(A,
% j(A))))
% -> quotient(i(i(A)),i(difference(A,j(A))))
% Current number of equations to process: 441
% Current number of ordered equations: 169
% Current number of rules: 840
% New rule produced :
% [1322]
% difference(quotient(B,eta(A)),t(eta(A),quotient(eta(difference(eta(A),B)),
% j(eta(difference(eta(A),B)))))) ->
% j(j(j(quotient(B,eta(A)))))
% Current number of equations to process: 440
% Current number of ordered equations: 169
% Current number of rules: 841
% New rule produced :
% [1323]
% quotient(difference(j(j(j(j(A)))),quotient(A,j(j(j(j(A)))))),quotient(
% eta(A),j(eta(A))))
% -> j(j(j(A)))
% Current number of equations to process: 439
% Current number of ordered equations: 169
% Current number of rules: 842
% New rule produced :
% [1324]
% quotient(difference(A,quotient(quotient(B,j(A)),j(j(A)))),quotient(quotient(
% difference(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),A),
% i(A))) -> eta(A)
% Current number of equations to process: 439
% Current number of ordered equations: 168
% Current number of rules: 843
% New rule produced :
% [1325]
% difference(eta(B),difference(B,quotient(quotient(difference(B,difference(
% j(B),quotient(
% t(B,A),
% j(B)))),
% j(B)),j(j(B))))) <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),B),
% i(B))
% Current number of equations to process: 439
% Current number of ordered equations: 167
% Current number of rules: 844
% New rule produced :
% [1326]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),B),
% i(B)) <->
% difference(eta(B),difference(B,quotient(quotient(difference(B,difference(
% j(B),quotient(
% t(B,A),
% j(B)))),
% j(B)),j(j(B)))))
% Current number of equations to process: 439
% Current number of ordered equations: 166
% Current number of rules: 845
% New rule produced :
% [1327]
% quotient(difference(B,quotient(quotient(difference(j(B),A),j(B)),j(j(B)))),A)
% -> eta(B)
% Current number of equations to process: 438
% Current number of ordered equations: 166
% Current number of rules: 846
% New rule produced :
% [1328]
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(quotient(
% difference(
% j(B),eta(A)),
% j(B)),j(j(B)))),
% j(A)))),eta(A)) ->
% difference(A,difference(j(A),quotient(t(A,j(j(B))),j(A))))
% Current number of equations to process: 438
% Current number of ordered equations: 165
% Current number of rules: 847
% New rule produced :
% [1329]
% quotient(quotient(difference(B,quotient(quotient(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(B)),j(j(B)))),B),A) ->
% quotient(difference(B,A),A)
% Current number of equations to process: 435
% Current number of ordered equations: 165
% Current number of rules: 848
% New rule produced :
% [1330]
% quotient(quotient(quotient(difference(j(A),difference(j(eta(A)),quotient(B,
% j(eta(A))))),
% j(A)),j(j(A))),eta(A)) ->
% quotient(quotient(difference(j(A),quotient(quotient(difference(j(eta(A)),B),
% j(eta(A))),eta(A))),j(A)),
% j(j(A)))
% Rule
% [792]
% quotient(quotient(quotient(difference(j(A),difference(j(eta(A)),quotient(
% difference(
% j(j(j(j(A)))),B),
% j(eta(A))))),
% j(A)),j(j(A))),eta(A)) -> B collapsed.
% Rule
% [1038]
% quotient(quotient(quotient(quotient(difference(j(A),difference(j(eta(A)),
% quotient(B,j(eta(A))))),
% j(A)),j(j(A))),eta(A)),j(j(j(j(A))))) ->
% t(j(j(j(j(A)))),B) collapsed.
% Rule
% [1228]
% quotient(quotient(quotient(quotient(difference(j(A),difference(j(eta(A)),
% quotient(B,j(eta(A))))),
% j(A)),j(j(A))),eta(A)),B) -> j(j(j(j(A))))
% collapsed.
% Current number of equations to process: 436
% Current number of ordered equations: 165
% Current number of rules: 846
% New rule produced :
% [1331]
% quotient(quotient(quotient(difference(j(A),quotient(quotient(difference(
% j(eta(A)),B),
% j(eta(A))),eta(A))),
% j(A)),j(j(A))),B) -> j(j(j(j(A))))
% Current number of equations to process: 435
% Current number of ordered equations: 165
% Current number of rules: 847
% New rule produced :
% [1332]
% quotient(quotient(difference(j(A),quotient(quotient(difference(j(eta(A)),
% difference(j(j(j(j(A)))),B)),
% j(eta(A))),eta(A))),j(A)),
% j(j(A))) -> B
% Current number of equations to process: 434
% Current number of ordered equations: 165
% Current number of rules: 848
% New rule produced :
% [1333]
% quotient(quotient(quotient(difference(j(A),quotient(quotient(difference(
% j(eta(A)),B),
% j(eta(A))),eta(A))),
% j(A)),j(j(A))),j(j(j(j(A))))) -> t(j(j(j(j(A)))),B)
% Current number of equations to process: 433
% Current number of ordered equations: 165
% Current number of rules: 849
% New rule produced :
% [1334]
% difference(A,difference(i(A),quotient(quotient(quotient(quotient(difference(
% j(eta(A)),B),
% j(eta(A))),eta(A)),A),
% j(A)))) <->
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,A),j(B)))),
% eta(A)),i(i(A)))
% Current number of equations to process: 431
% Current number of ordered equations: 166
% Current number of rules: 850
% New rule produced :
% [1335]
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,A),j(B)))),
% eta(A)),i(i(A))) <->
% difference(A,difference(i(A),quotient(quotient(quotient(quotient(difference(
% j(eta(A)),B),
% j(eta(A))),eta(A)),A),
% j(A))))
% Current number of equations to process: 431
% Current number of ordered equations: 165
% Current number of rules: 851
% New rule produced :
% [1336]
% t(eta(A),quotient(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% difference(eta(A),C))) <->
% quotient(difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),B))),
% j(eta(A))))),quotient(C,
% eta(A)))
% Current number of equations to process: 429
% Current number of ordered equations: 164
% Current number of rules: 852
% New rule produced :
% [1337]
% quotient(difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),B))),
% j(eta(A))))),quotient(C,
% eta(A))) <->
% t(eta(A),quotient(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% difference(eta(A),C)))
% Current number of equations to process: 429
% Current number of ordered equations: 163
% Current number of rules: 853
% New rule produced :
% [1338]
% t(eta(A),difference(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% difference(eta(A),C))) <->
% difference(difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),B))),
% j(eta(A))))),quotient(C,
% eta(A)))
% Current number of equations to process: 429
% Current number of ordered equations: 162
% Current number of rules: 854
% New rule produced :
% [1339]
% difference(difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),B))),
% j(eta(A))))),quotient(C,
% eta(A))) <->
% t(eta(A),difference(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% difference(eta(A),C)))
% Current number of equations to process: 429
% Current number of ordered equations: 161
% Current number of rules: 855
% New rule produced :
% [1340]
% difference(quotient(quotient(difference(j(eta(B)),A),j(eta(B))),eta(B)),B) ->
% quotient(difference(A,j(j(j(j(B))))),eta(B))
% Current number of equations to process: 428
% Current number of ordered equations: 161
% Current number of rules: 856
% New rule produced :
% [1341]
% quotient(quotient(quotient(difference(j(A),quotient(quotient(difference(
% j(eta(A)),B),
% j(eta(A))),eta(A))),
% j(A)),j(j(A))),eta(A)) ->
% quotient(quotient(difference(j(A),t(eta(A),B)),j(A)),j(j(A)))
% Current number of equations to process: 427
% Current number of ordered equations: 161
% Current number of rules: 857
% Rule [1330]
% quotient(quotient(quotient(difference(j(A),difference(j(eta(A)),
% quotient(B,j(eta(A))))),
% j(A)),j(j(A))),eta(A)) ->
% quotient(quotient(difference(j(A),quotient(quotient(difference(j(eta(A)),B),
% j(eta(A))),eta(A))),j(A)),
% j(j(A))) is composed into [1330]
% quotient(quotient(quotient(difference(
% j(A),difference(
% j(eta(A)),
% quotient(B,
% j(eta(A))))),
% j(A)),j(j(A))),eta(A)) ->
% quotient(quotient(quotient(difference(
% j(A),quotient(
% difference(
% j(eta(A)),B),
% j(eta(A)))),
% j(A)),j(j(A))),eta(A))
% New rule produced :
% [1342]
% quotient(quotient(difference(j(A),quotient(B,eta(A))),j(A)),j(j(A))) ->
% quotient(quotient(quotient(difference(j(A),B),j(A)),j(j(A))),eta(A))
% Rule
% [1331]
% quotient(quotient(quotient(difference(j(A),quotient(quotient(difference(
% j(eta(A)),B),
% j(eta(A))),eta(A))),
% j(A)),j(j(A))),B) -> j(j(j(j(A)))) collapsed.
% Rule
% [1332]
% quotient(quotient(difference(j(A),quotient(quotient(difference(j(eta(A)),
% difference(j(j(j(j(A)))),B)),
% j(eta(A))),eta(A))),j(A)),
% j(j(A))) -> B collapsed.
% Rule
% [1333]
% quotient(quotient(quotient(difference(j(A),quotient(quotient(difference(
% j(eta(A)),B),
% j(eta(A))),eta(A))),
% j(A)),j(j(A))),j(j(j(j(A))))) -> t(j(j(j(j(A)))),B)
% collapsed.
% Rule
% [1341]
% quotient(quotient(quotient(difference(j(A),quotient(quotient(difference(
% j(eta(A)),B),
% j(eta(A))),eta(A))),
% j(A)),j(j(A))),eta(A)) ->
% quotient(quotient(difference(j(A),t(eta(A),B)),j(A)),j(j(A))) collapsed.
% Current number of equations to process: 430
% Current number of ordered equations: 161
% Current number of rules: 854
% New rule produced :
% [1343]
% quotient(quotient(quotient(quotient(difference(j(A),quotient(difference(
% j(eta(A)),B),
% j(eta(A)))),j(A)),
% j(j(A))),eta(A)),B) -> j(j(j(j(A))))
% Current number of equations to process: 429
% Current number of ordered equations: 161
% Current number of rules: 855
% New rule produced :
% [1344]
% quotient(quotient(quotient(difference(j(A),quotient(difference(j(eta(A)),
% difference(j(j(j(j(A)))),B)),
% j(eta(A)))),j(A)),j(j(A))),
% eta(A)) -> B
% Current number of equations to process: 428
% Current number of ordered equations: 161
% Current number of rules: 856
% New rule produced :
% [1345]
% quotient(quotient(quotient(quotient(difference(j(A),quotient(difference(
% j(eta(A)),B),
% j(eta(A)))),j(A)),
% j(j(A))),eta(A)),j(j(j(j(A))))) -> t(j(j(j(j(A)))),B)
% Current number of equations to process: 427
% Current number of ordered equations: 161
% Current number of rules: 857
% New rule produced :
% [1346]
% quotient(quotient(quotient(quotient(difference(j(A),quotient(difference(
% j(eta(A)),B),
% j(eta(A)))),j(A)),
% j(j(A))),eta(A)),eta(A)) ->
% quotient(quotient(difference(j(A),t(eta(A),B)),j(A)),j(j(A)))
% Current number of equations to process: 426
% Current number of ordered equations: 161
% Current number of rules: 858
% New rule produced :
% [1347]
% difference(difference(difference(A,j(A)),j(A)),difference(j(difference(
% difference(A,
% j(A)),j(A))),
% quotient(t(difference(
% difference(A,
% j(A)),j(A)),
% difference(difference(A,
% j(A)),
% difference(A,
% quotient(t(i(A),B),A)))),
% j(difference(difference(A,
% j(A)),j(A))))))
% ->
% difference(difference(A,j(A)),difference(A,quotient(t(i(A),difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),A)))
% Current number of equations to process: 424
% Current number of ordered equations: 162
% Current number of rules: 859
% New rule produced :
% [1348]
% difference(difference(difference(A,j(A)),difference(A,quotient(t(i(A),B),A))),
% difference(j(difference(difference(A,j(A)),difference(A,quotient(t(i(A),B),A)))),
% quotient(t(difference(difference(A,j(A)),difference(A,quotient(t(i(A),B),A))),
% difference(difference(A,j(A)),j(A))),j(difference(difference(A,j(A)),
% difference(A,quotient(
% t(i(A),B),A)))))))
% ->
% difference(difference(A,j(A)),difference(A,quotient(t(i(A),difference(B,
% difference(
% j(B),quotient(
% t(B,A),
% j(B))))),A)))
% Current number of equations to process: 424
% Current number of ordered equations: 161
% Current number of rules: 860
% New rule produced :
% [1349]
% quotient(difference(i(difference(A,eta(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A))))))),
% eta(difference(A,difference(j(A),quotient(t(A,B),j(A)))))),difference(A,
% eta(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))
% ->
% difference(B,difference(j(B),quotient(t(B,quotient(quotient(quotient(
% difference(B,A),A),
% difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(difference(A,difference(j(A),
% quotient(t(A,B),
% j(A))))))),j(B))))
% Current number of equations to process: 422
% Current number of ordered equations: 161
% Current number of rules: 861
% New rule produced :
% [1350]
% difference(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))),
% difference(A,difference(j(A),quotient(t(A,difference(j(quotient(difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(j(quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A))))),
% j(A))))) ->
% quotient(t(quotient(difference(B,difference(j(B),quotient(t(B,difference(C,
% difference(
% j(C),quotient(
% t(C,A),
% j(C))))),
% j(B)))),A),difference(A,
% difference(
% j(A),quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A))))),A)
% Current number of equations to process: 422
% Current number of ordered equations: 160
% Current number of rules: 862
% New rule produced :
% [1351]
% difference(A,difference(j(A),quotient(t(A,C),j(A)))) <->
% quotient(difference(A,difference(j(A),quotient(t(A,B),j(A)))),quotient(
% difference(C,
% difference(B,
% difference(
% j(B),quotient(
% t(B,A),
% j(B))))),A))
% Rule
% [1170]
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(difference(j(A),j(j(A))),j(j(A)))),j(difference(difference(
% j(A),
% j(
% j(A))),
% difference(j(A),
% quotient(t(A,B),
% j(A)))))))) ->
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% j(A)),
% j(B))))),
% j(A)))) collapsed.
% Rule
% [1348]
% difference(difference(difference(A,j(A)),difference(A,quotient(t(i(A),B),A))),
% difference(j(difference(difference(A,j(A)),difference(A,quotient(t(i(A),B),A)))),
% quotient(t(difference(difference(A,j(A)),difference(A,quotient(t(i(A),B),A))),
% difference(difference(A,j(A)),j(A))),j(difference(difference(A,j(A)),
% difference(A,quotient(
% t(i(A),B),A)))))))
% ->
% difference(difference(A,j(A)),difference(A,quotient(t(i(A),difference(B,
% difference(
% j(B),quotient(
% t(B,A),
% j(B))))),A)))
% collapsed.
% Current number of equations to process: 427
% Current number of ordered equations: 156
% Current number of rules: 861
% New rule produced :
% [1352]
% quotient(difference(A,difference(j(A),quotient(t(A,B),j(A)))),quotient(
% difference(C,
% difference(B,
% difference(
% j(B),quotient(
% t(B,A),
% j(B))))),A))
% <-> difference(A,difference(j(A),quotient(t(A,C),j(A))))
% Current number of equations to process: 427
% Current number of ordered equations: 155
% Current number of rules: 862
% New rule produced :
% [1353]
% difference(j(j(j(t(eta(A),B)))),quotient(t(eta(A),eta(B)),j(j(j(t(eta(A),B))))))
% -> t(eta(A),quotient(B,i(B)))
% Current number of equations to process: 426
% Current number of ordered equations: 155
% Current number of rules: 863
% New rule produced :
% [1354]
% quotient(difference(i(quotient(A,j(eta(B)))),t(j(eta(B)),A)),quotient(A,
% j(eta(B)))) -> A
% Current number of equations to process: 425
% Current number of ordered equations: 155
% Current number of rules: 864
% New rule produced :
% [1355]
% difference(difference(j(B),j(j(B))),difference(j(B),quotient(t(B,A),j(B))))
% <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(
% j(B),j(j(B)))),
% j(A)))),B),B)
% Current number of equations to process: 421
% Current number of ordered equations: 156
% Current number of rules: 865
% New rule produced :
% [1356]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(
% j(B),j(j(B)))),
% j(A)))),B),B) <->
% difference(difference(j(B),j(j(B))),difference(j(B),quotient(t(B,A),j(B))))
% Current number of equations to process: 421
% Current number of ordered equations: 155
% Current number of rules: 866
% New rule produced :
% [1357]
% quotient(difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% eta(B)),
% j(A)))))
% -> t(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),B)
% Current number of equations to process: 417
% Current number of ordered equations: 154
% Current number of rules: 867
% New rule produced :
% [1358]
% difference(quotient(A,i(A)),difference(A,difference(j(A),quotient(t(A,
% difference(
% i(A),
% quotient(
% quotient(B,A),
% j(A)))),
% j(A))))) <->
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,quotient(A,i(A))),
% j(B)))),i(i(A))),A)
% Current number of equations to process: 415
% Current number of ordered equations: 155
% Current number of rules: 868
% New rule produced :
% [1359]
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,quotient(A,i(A))),
% j(B)))),i(i(A))),A) <->
% difference(quotient(A,i(A)),difference(A,difference(j(A),quotient(t(A,
% difference(
% i(A),
% quotient(
% quotient(B,A),
% j(A)))),
% j(A)))))
% Current number of equations to process: 415
% Current number of ordered equations: 154
% Current number of rules: 869
% New rule produced :
% [1360]
% quotient(quotient(quotient(t(quotient(A,B),B),t(t(quotient(A,B),B),quotient(A,B))),
% j(t(t(quotient(A,B),B),quotient(A,B)))),A) ->
% j(t(t(quotient(A,B),B),quotient(A,B)))
% Current number of equations to process: 413
% Current number of ordered equations: 153
% Current number of rules: 870
% New rule produced :
% [1361]
% t(eta(A),quotient(B,quotient(quotient(difference(A,difference(C,difference(
% j(C),
% quotient(
% t(C,eta(A)),
% j(C))))),A),
% i(A)))) <->
% quotient(t(eta(A),B),quotient(difference(A,quotient(quotient(C,j(A)),j(j(A)))),
% eta(A)))
% Current number of equations to process: 413
% Current number of ordered equations: 152
% Current number of rules: 871
% New rule produced :
% [1362]
% quotient(t(eta(A),B),quotient(difference(A,quotient(quotient(C,j(A)),j(j(A)))),
% eta(A))) <->
% t(eta(A),quotient(B,quotient(quotient(difference(A,difference(C,difference(
% j(C),
% quotient(
% t(C,eta(A)),
% j(C))))),A),
% i(A))))
% Current number of equations to process: 413
% Current number of ordered equations: 151
% Current number of rules: 872
% New rule produced :
% [1363]
% t(eta(A),quotient(quotient(quotient(difference(A,difference(B,difference(
% j(B),quotient(
% t(B,
% eta(A)),
% j(B))))),A),
% i(A)),C)) ->
% quotient(quotient(difference(A,quotient(quotient(B,j(A)),j(j(A)))),eta(A)),
% t(eta(A),C))
% Current number of equations to process: 413
% Current number of ordered equations: 150
% Current number of rules: 873
% New rule produced :
% [1364]
% t(eta(A),difference(quotient(quotient(difference(A,difference(B,difference(
% j(B),
% quotient(
% t(B,eta(A)),
% j(B))))),A),
% i(A)),C)) ->
% difference(quotient(difference(A,quotient(quotient(B,j(A)),j(j(A)))),eta(A)),
% t(eta(A),C))
% Current number of equations to process: 413
% Current number of ordered equations: 149
% Current number of rules: 874
% New rule produced :
% [1365]
% quotient(quotient(difference(A,quotient(difference(difference(i(A),B),
% difference(j(difference(i(A),B)),
% quotient(t(difference(i(A),B),x2),
% j(difference(i(A),B))))),quotient(
% difference(
% eta(A),
% difference(x2,
% difference(
% j(x2),
% quotient(
% t(x2,
% difference(
% i(A),B)),
% j(x2))))),
% difference(
% i(A),B)))),A),
% i(A)) -> difference(eta(A),B)
% Current number of equations to process: 412
% Current number of ordered equations: 149
% Current number of rules: 875
% New rule produced :
% [1366]
% difference(quotient(C,eta(A)),difference(quotient(C,eta(A)),t(eta(A),
% difference(
% j(difference(
% eta(A),C)),
% quotient(
% t(difference(
% eta(A),C),B),
% j(difference(
% eta(A),C)))))))
% -> t(eta(A),B)
% Current number of equations to process: 411
% Current number of ordered equations: 148
% Current number of rules: 876
% New rule produced :
% [1367]
% quotient(difference(i(t(j(A),B)),quotient(quotient(difference(A,t(j(A),B)),A),
% j(A))),t(j(A),B)) ->
% quotient(quotient(difference(A,B),A),j(A))
% Current number of equations to process: 410
% Current number of ordered equations: 148
% Current number of rules: 877
% Rule [1271]
% quotient(difference(A,eta(B)),j(j(j(B)))) <->
% i(quotient(quotient(difference(j(j(B)),A),B),j(B))) is composed into
% [1271]
% quotient(difference(A,eta(B)),j(j(j(B)))) <->
% i(quotient(quotient(difference(B,quotient(quotient(difference(j(eta(B)),A),
% j(eta(B))),eta(B))),B),j(B)))
% New rule produced :
% [1368]
% quotient(quotient(difference(j(j(A)),B),A),j(A)) ->
% quotient(quotient(difference(A,quotient(quotient(difference(j(eta(A)),B),
% j(eta(A))),eta(A))),A),j(A))
% Rule
% [1270]
% i(quotient(quotient(difference(j(j(B)),A),B),j(B))) <->
% quotient(difference(A,eta(B)),j(j(j(B)))) collapsed.
% Current number of equations to process: 410
% Current number of ordered equations: 148
% Current number of rules: 877
% New rule produced :
% [1369]
% difference(difference(B,difference(j(B),quotient(t(B,A),j(B)))),difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(
% j(A),
% j(
% j(A)))),
% j(B))))) ->
% quotient(t(A,difference(B,difference(j(B),quotient(t(B,A),j(B))))),B)
% Rule
% [1161]
% t(eta(A),difference(difference(B,difference(j(B),quotient(t(B,C),j(B)))),
% difference(B,difference(j(B),quotient(t(B,difference(j(C),j(j(C)))),
% j(B)))))) ->
% t(eta(A),quotient(t(C,difference(B,difference(j(B),quotient(t(B,C),j(B))))),B))
% collapsed.
% Current number of equations to process: 409
% Current number of ordered equations: 147
% Current number of rules: 877
% New rule produced :
% [1370]
% t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(C,
% difference(
% j(C),
% quotient(
% t(C,B),
% j(C))))),
% j(A))))) <->
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(difference(
% j(B),
% j(
% j(B)))),
% quotient(
% t(difference(
% j(B),
% j(
% j(B))),C),
% j(difference(
% j(B),
% j(
% j(B)))))))),
% j(A)))))
% Current number of equations to process: 409
% Current number of ordered equations: 146
% Current number of rules: 878
% New rule produced :
% [1371]
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(difference(
% j(B),
% j(
% j(B)))),
% quotient(
% t(difference(
% j(B),
% j(
% j(B))),C),
% j(difference(
% j(B),
% j(
% j(B)))))))),
% j(A))))) <->
% t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(C,
% difference(
% j(C),
% quotient(
% t(C,B),
% j(C))))),
% j(A)))))
% Current number of equations to process: 409
% Current number of ordered equations: 145
% Current number of rules: 879
% New rule produced :
% [1372]
% t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))),
% difference(C,difference(j(C),quotient(t(C,difference(difference(j(A),j(j(A))),
% difference(j(A),quotient(t(A,B),
% j(A))))),j(C)))))
% <->
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(
% j(B),
% j(
% j(B)))),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,
% difference(
% j(B),
% j(j(B)))),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(
% j(B),
% j(
% j(B)))),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(
% j(B),
% j(
% j(B)))),
% j(A)))))))))
% Current number of equations to process: 409
% Current number of ordered equations: 144
% Current number of rules: 880
% New rule produced :
% [1373]
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(
% j(B),
% j(
% j(B)))),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,
% difference(
% j(B),
% j(j(B)))),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(
% j(B),
% j(
% j(B)))),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(
% j(B),
% j(
% j(B)))),
% j(A))))))))) <->
% t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))),
% difference(C,difference(j(C),quotient(t(C,difference(difference(j(A),j(j(A))),
% difference(j(A),quotient(t(A,B),
% j(A))))),j(C)))))
% Current number of equations to process: 409
% Current number of ordered equations: 143
% Current number of rules: 881
% New rule produced :
% [1374]
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A)))),C) ->
% difference(A,difference(j(A),quotient(t(A,B),j(A))))
% Current number of equations to process: 409
% Current number of ordered equations: 142
% Current number of rules: 882
% New rule produced :
% [1375]
% difference(difference(C,difference(j(C),quotient(t(C,A),j(C)))),difference(C,
% difference(
% j(C),
% quotient(
% t(C,eta(B)),
% j(C))))) ->
% quotient(difference(A,t(eta(B),difference(C,difference(j(C),quotient(
% t(C,eta(B)),
% j(C)))))),C)
% Current number of equations to process: 409
% Current number of ordered equations: 141
% Current number of rules: 883
% New rule produced :
% [1376]
% 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: 409
% Current number of ordered equations: 140
% Current number of rules: 884
% New rule produced :
% [1377]
% t(eta(A),t(t(quotient(B,difference(eta(A),C)),difference(eta(A),C)),quotient(B,
% difference(
% eta(A),C))))
% <->
% 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: 408
% Current number of ordered equations: 141
% Current number of rules: 885
% New rule produced :
% [1378]
% 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,difference(eta(A),C)),difference(eta(A),C)),quotient(B,
% difference(
% eta(A),C))))
% Current number of equations to process: 408
% Current number of ordered equations: 140
% Current number of rules: 886
% New rule produced :
% [1379]
% difference(i(A),t(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),
% j(B)))))) <->
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,i(A)),
% j(B))))),
% j(A)))),i(A))
% Current number of equations to process: 407
% Current number of ordered equations: 139
% Current number of rules: 887
% New rule produced :
% [1380]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,i(A)),
% j(B))))),
% j(A)))),i(A)) <->
% difference(i(A),t(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),
% j(B))))))
% Current number of equations to process: 407
% Current number of ordered equations: 138
% Current number of rules: 888
% New rule produced :
% [1381]
% quotient(difference(B,difference(quotient(B,i(B)),difference(j(quotient(B,
% i(B))),
% quotient(t(quotient(B,i(B)),A),
% j(quotient(B,i(B))))))),A)
% -> quotient(quotient(difference(i(B),quotient(A,j(B))),B),A)
% Current number of equations to process: 406
% Current number of ordered equations: 138
% Current number of rules: 889
% New rule produced :
% [1382]
% quotient(difference(B,t(eta(B),difference(A,difference(j(A),quotient(
% t(A,eta(B)),
% j(A)))))),A) ->
% quotient(quotient(quotient(quotient(difference(B,difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A))))),B),
% j(B)),B),A)
% Current number of equations to process: 404
% Current number of ordered equations: 138
% Current number of rules: 890
% New rule produced :
% [1383]
% difference(difference(j(A),j(j(A))),quotient(quotient(A,j(difference(
% j(A),j(j(A))))),
% j(j(difference(j(A),j(j(A))))))) ->
% quotient(eta(difference(j(A),j(j(A)))),A)
% Rule
% [410]
% difference(difference(difference(j(A),j(j(A))),quotient(quotient(A,j(
% difference(
% j(A),
% j(
% j(A))))),
% j(j(difference(j(A),j(j(A))))))),
% eta(difference(j(A),j(j(A))))) -> quotient(i(A),quotient(j(A),A)) collapsed.
% Current number of equations to process: 403
% Current number of ordered equations: 138
% Current number of rules: 890
% New rule produced :
% [1384]
% quotient(difference(A,quotient(difference(i(difference(B,difference(B,
% difference(j(B),
% quotient(eta(B),
% j(eta(B))))))),
% difference(B,difference(j(B),quotient(
% eta(B),j(eta(B)))))),
% difference(B,difference(B,difference(j(B),quotient(
% eta(B),
% j(eta(B)))))))),B)
% -> quotient(difference(A,j(eta(B))),B)
% Current number of equations to process: 402
% Current number of ordered equations: 138
% Current number of rules: 891
% New rule produced :
% [1385]
% difference(quotient(A,B),difference(A,difference(j(A),quotient(t(A,C),j(A)))))
% <->
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,quotient(A,B)),
% j(C))))),
% j(B)))),quotient(A,B))
% Current number of equations to process: 401
% Current number of ordered equations: 137
% Current number of rules: 892
% New rule produced :
% [1386]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,quotient(A,B)),
% j(C))))),
% j(B)))),quotient(A,B)) <->
% difference(quotient(A,B),difference(A,difference(j(A),quotient(t(A,C),j(A)))))
% Current number of equations to process: 401
% Current number of ordered equations: 136
% Current number of rules: 893
% New rule produced :
% [1387]
% difference(t(eta(A),B),difference(j(t(eta(A),B)),quotient(t(t(eta(A),B),
% quotient(C,
% eta(A))),j(
% t(
% eta(A),B)))))
% ->
% t(eta(A),difference(B,difference(j(B),quotient(t(B,difference(eta(A),C)),
% j(B)))))
% Current number of equations to process: 401
% Current number of ordered equations: 135
% Current number of rules: 894
% New rule produced :
% [1388]
% quotient(difference(C,difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(A))))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))))
% <->
% difference(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))))))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B))))),
% j(A)))))
% Current number of equations to process: 401
% Current number of ordered equations: 133
% Current number of rules: 895
% New rule produced :
% [1389]
% difference(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))))))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B))))),
% j(A))))) <->
% quotient(difference(C,difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(A))))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))))
% Current number of equations to process: 401
% Current number of ordered equations: 131
% Current number of rules: 896
% New rule produced :
% [1390]
% 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: 401
% Current number of ordered equations: 130
% Current number of rules: 897
% New rule produced :
% [1391]
% i(difference(quotient(A,eta(B)),t(eta(B),difference(j(difference(eta(B),A)),
% quotient(t(difference(eta(B),A),C),
% j(difference(eta(B),A))))))) <->
% t(eta(B),quotient(difference(C,eta(difference(eta(B),A))),difference(
% eta(B),A)))
% Current number of equations to process: 401
% Current number of ordered equations: 129
% Current number of rules: 898
% New rule produced :
% [1392]
% t(eta(B),quotient(difference(C,eta(difference(eta(B),A))),difference(
% eta(B),A))) <->
% i(difference(quotient(A,eta(B)),t(eta(B),difference(j(difference(eta(B),A)),
% quotient(t(difference(eta(B),A),C),
% j(difference(eta(B),A)))))))
% Current number of equations to process: 401
% Current number of ordered equations: 128
% Current number of rules: 899
% New rule produced :
% [1393]
% difference(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,C),
% j(A))))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))) ->
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A))))
% Current number of equations to process: 401
% Current number of ordered equations: 127
% Current number of rules: 900
% New rule produced :
% [1394]
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% quotient(
% quotient(B,
% j(A)),j(j(A))))),
% j(C)))),B),i(A)) <->
% difference(difference(A,quotient(quotient(B,j(A)),j(j(A)))),difference(A,
% quotient(
% quotient(
% difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B)))),
% j(A)),j(j(A)))))
% Current number of equations to process: 400
% Current number of ordered equations: 125
% Current number of rules: 901
% New rule produced :
% [1395]
% difference(difference(A,quotient(quotient(B,j(A)),j(j(A)))),difference(A,
% quotient(
% quotient(
% difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B)))),
% j(A)),j(j(A)))))
% <->
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% quotient(
% quotient(B,
% j(A)),j(j(A))))),
% j(C)))),B),i(A))
% Current number of equations to process: 400
% Current number of ordered equations: 123
% Current number of rules: 902
% New rule produced :
% [1396]
% quotient(difference(quotient(B,eta(A)),t(eta(A),difference(j(difference(
% eta(A),B)),
% quotient(t(difference(
% eta(A),B),C),
% j(difference(eta(A),B)))))),
% quotient(B,eta(A))) -> t(quotient(B,eta(A)),t(eta(A),C))
% Current number of equations to process: 399
% Current number of ordered equations: 123
% Current number of rules: 903
% New rule produced :
% [1397]
% difference(A,difference(quotient(A,B),difference(j(quotient(A,B)),quotient(
% t(quotient(A,B),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(
% quotient(A,B))),
% j(B))))),
% j(quotient(A,B))))))
% -> eta(quotient(A,B))
% Current number of equations to process: 399
% Current number of ordered equations: 122
% Current number of rules: 904
% Rule [909]
% t(eta(A),difference(B,difference(j(B),quotient(t(B,difference(C,
% difference(j(C),
% quotient(t(C,eta(A)),
% j(C))))),j(B))))) <->
% difference(t(eta(A),B),difference(j(t(eta(A),B)),quotient(t(t(eta(A),B),
% difference(
% eta(A),
% difference(
% quotient(
% eta(A),
% j(eta(A))),
% difference(
% j(quotient(
% eta(A),
% j(eta(A)))),
% quotient(
% t(quotient(
% eta(A),
% j(eta(A))),C),
% j(quotient(
% eta(A),
% j(eta(A))))))))),
% j(t(eta(A),B))))) is composed into
% [909]
% t(eta(A),difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,eta(A)),
% j(C))))),
% j(B))))) <->
% difference(t(eta(A),B),difference(j(t(eta(A),B)),quotient(t(t(eta(A),B),
% quotient(quotient(
% difference(
% j(
% eta(A)),C),
% j(
% eta(A))),
% eta(A))),j(
% t(
% eta(A),B)))))
% New rule produced :
% [1398]
% difference(eta(A),difference(quotient(eta(A),j(eta(A))),difference(j(
% quotient(
% eta(A),
% j(
% eta(A)))),
% quotient(t(quotient(
% eta(A),
% j(
% eta(A))),B),
% j(quotient(eta(A),
% j(eta(A)))))))) ->
% quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A))
% Rule
% [910]
% difference(t(eta(A),B),difference(j(t(eta(A),B)),quotient(t(t(eta(A),B),
% difference(
% eta(A),difference(
% quotient(
% eta(A),
% j(eta(A))),
% difference(
% j(quotient(
% eta(A),
% j(
% eta(A)))),
% quotient(
% t(quotient(
% eta(A),
% j(
% eta(A))),C),
% j(quotient(
% eta(A),
% j(
% eta(A))))))))),
% j(t(eta(A),B))))) <->
% t(eta(A),difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,eta(A)),
% j(C))))),
% j(B))))) collapsed.
% Rule
% [911]
% difference(difference(eta(A),difference(quotient(eta(A),j(eta(A))),difference(
% j(
% quotient(
% eta(A),
% j(
% eta(A)))),
% quotient(
% t(
% quotient(
% eta(A),
% j(
% eta(A))),B),
% j(
% quotient(
% eta(A),
% j(
% eta(A)))))))),
% difference(j(difference(eta(A),difference(quotient(eta(A),j(eta(A))),
% difference(j(quotient(eta(A),j(eta(A)))),
% quotient(t(quotient(eta(A),j(eta(A))),B),
% j(quotient(eta(A),j(eta(A))))))))),quotient(
% t(difference(
% eta(A),
% difference(
% quotient(
% eta(A),
% j(
% eta(A))),
% difference(
% j(
% quotient(
% eta(A),
% j(
% eta(A)))),
% quotient(
% t(
% quotient(
% eta(A),
% j(
% eta(A))),B),
% j(
% quotient(
% eta(A),
% j(
% eta(A)))))))),
% t(eta(A),C)),
% j(difference(
% eta(A),
% difference(
% quotient(
% eta(A),
% j(
% eta(A))),
% difference(
% j(
% quotient(
% eta(A),
% j(
% eta(A)))),
% quotient(
% t(
% quotient(
% eta(A),
% j(
% eta(A))),B),
% j(
% quotient(
% eta(A),
% j(
% eta(A))))))))))))
% ->
% t(eta(A),difference(B,difference(j(B),quotient(t(B,quotient(quotient(
% difference(
% j(eta(A)),C),
% j(eta(A))),
% eta(A))),j(B)))))
% collapsed.
% Current number of equations to process: 400
% Current number of ordered equations: 122
% Current number of rules: 903
% New rule produced :
% [1399]
% difference(t(t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A))),
% t(eta(A),quotient(B,difference(eta(A),C)))),t(eta(A),B)) ->
% t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(C,eta(A)))
% Current number of equations to process: 399
% Current number of ordered equations: 121
% Current number of rules: 904
% New rule produced :
% [1400]
% t(j(A),quotient(quotient(difference(j(B),A),j(B)),j(j(B)))) <->
% quotient(quotient(difference(difference(j(A),j(j(A))),difference(A,difference(
% j(A),
% quotient(
% t(A,
% j(
% j(B))),
% j(A))))),
% j(A)),j(A))
% Current number of equations to process: 397
% Current number of ordered equations: 122
% Current number of rules: 905
% New rule produced :
% [1401]
% quotient(quotient(difference(difference(j(A),j(j(A))),difference(A,difference(
% j(A),
% quotient(
% t(A,
% j(
% j(B))),
% j(A))))),
% j(A)),j(A)) <->
% t(j(A),quotient(quotient(difference(j(B),A),j(B)),j(j(B))))
% Current number of equations to process: 397
% Current number of ordered equations: 121
% Current number of rules: 906
% New rule produced :
% [1402]
% difference(eta(B),difference(B,difference(j(B),quotient(t(B,quotient(
% quotient(
% difference(B,A),B),
% j(B))),j(B)))))
% <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),
% j(B)),B)
% Current number of equations to process: 395
% Current number of ordered equations: 122
% Current number of rules: 907
% New rule produced :
% [1403]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),
% j(B)),B) <->
% difference(eta(B),difference(B,difference(j(B),quotient(t(B,quotient(
% quotient(
% difference(B,A),B),
% j(B))),j(B)))))
% Current number of equations to process: 395
% Current number of ordered equations: 121
% Current number of rules: 908
% New rule produced :
% [1404]
% difference(A,difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),B))),
% j(eta(A)))))) <->
% quotient(quotient(quotient(difference(A,quotient(quotient(difference(j(B),A),
% j(B)),j(j(B)))),A),j(A)),A)
% Current number of equations to process: 394
% Current number of ordered equations: 122
% Current number of rules: 909
% New rule produced :
% [1405]
% quotient(quotient(quotient(difference(A,quotient(quotient(difference(j(B),A),
% j(B)),j(j(B)))),A),j(A)),A)
% <->
% difference(A,difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),B))),
% j(eta(A))))))
% Current number of equations to process: 394
% Current number of ordered equations: 121
% Current number of rules: 910
% New rule produced :
% [1406]
% difference(difference(A,difference(j(A),quotient(t(A,difference(difference(
% j(B),
% j(j(B))),
% difference(j(B),
% quotient(t(B,C),
% j(B))))),j(A)))),
% difference(A,difference(j(A),quotient(t(A,difference(difference(j(B),j(j(B))),
% difference(j(B),quotient(t(B,
% difference(
% j(C),
% j(
% j(C)))),
% j(B))))),j(A)))))
% ->
% quotient(t(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,C),
% j(B)))),
% difference(A,difference(j(A),quotient(t(A,difference(difference(
% j(B),j(j(B))),
% difference(j(B),quotient(
% t(B,C),
% j(B))))),
% j(A))))),A)
% Current number of equations to process: 394
% Current number of ordered equations: 120
% Current number of rules: 911
% New rule produced :
% [1407]
% difference(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),
% t(eta(A),difference(C,difference(j(C),quotient(t(C,eta(A)),j(C)))))) ->
% quotient(difference(B,difference(C,difference(j(C),quotient(t(C,eta(A)),j(C))))),
% eta(A))
% Current number of equations to process: 393
% Current number of ordered equations: 120
% Current number of rules: 912
% New rule produced :
% [1408]
% difference(j(quotient(A,eta(B))),quotient(t(eta(B),quotient(C,difference(
% eta(B),A))),
% j(quotient(A,eta(B))))) ->
% difference(quotient(A,eta(B)),difference(j(quotient(A,eta(B))),quotient(
% t(quotient(A,
% eta(B)),
% t(eta(B),C)),
% j(quotient(A,
% eta(B))))))
% Current number of equations to process: 393
% Current number of ordered equations: 119
% Current number of rules: 913
% New rule produced :
% [1409] t(j(j(A)),quotient(eta(A),j(eta(A)))) -> i(quotient(eta(A),j(eta(A))))
% Current number of equations to process: 388
% Current number of ordered equations: 119
% Current number of rules: 914
% New rule produced :
% [1410]
% t(i(A),quotient(difference(A,difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),quotient(
% t(B,i(A)),
% j(B))))),
% j(A)))),i(A))) <->
% quotient(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),i(A))
% Current number of equations to process: 386
% Current number of ordered equations: 120
% Current number of rules: 915
% New rule produced :
% [1411]
% quotient(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),i(A))
% <->
% t(i(A),quotient(difference(A,difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),quotient(
% t(B,i(A)),
% j(B))))),
% j(A)))),i(A)))
% Current number of equations to process: 386
% Current number of ordered equations: 119
% Current number of rules: 916
% New rule produced :
% [1412]
% quotient(quotient(quotient(quotient(quotient(difference(A,difference(B,
% difference(
% j(B),quotient(
% t(B,eta(A)),
% j(B))))),A),
% i(A)),eta(A)),j(eta(A))),j(eta(A))) ->
% t(j(eta(A)),difference(A,quotient(quotient(B,j(A)),j(j(A)))))
% Current number of equations to process: 386
% Current number of ordered equations: 118
% Current number of rules: 917
% New rule produced :
% [1413]
% difference(eta(A),difference(eta(A),difference(j(eta(A)),quotient(difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(
% j(j(
% t(
% eta(A),B))),
% j(eta(A))))),
% j(eta(A)))))) <->
% quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B)))
% Current number of equations to process: 386
% Current number of ordered equations: 117
% Current number of rules: 918
% New rule produced :
% [1414]
% quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))) <->
% difference(eta(A),difference(eta(A),difference(j(eta(A)),quotient(difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(
% j(j(
% t(
% eta(A),B))),
% j(eta(A))))),
% j(eta(A))))))
% Current number of equations to process: 386
% Current number of ordered equations: 116
% Current number of rules: 919
% New rule produced :
% [1415]
% quotient(quotient(quotient(difference(j(eta(difference(difference(j(A),
% j(j(A))),difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),
% j(eta(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A))))))),
% eta(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,C),j(A)))))
% ->
% i(i(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A))))))
% Current number of equations to process: 384
% Current number of ordered equations: 116
% Current number of rules: 920
% New rule produced :
% [1416]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(j(B),j(j(B)))),
% j(A)))),quotient(t(B,difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),A))
% -> difference(A,difference(j(A),quotient(t(A,B),j(A))))
% Current number of equations to process: 384
% Current number of ordered equations: 115
% Current number of rules: 921
% New rule produced :
% [1417]
% difference(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(A,difference(j(A),quotient(t(A,C),j(A))))),difference(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C)))))) ->
% A
% Current number of equations to process: 384
% Current number of ordered equations: 114
% Current number of rules: 922
% New rule produced :
% [1418]
% t(eta(A),quotient(quotient(difference(j(eta(B)),difference(B,difference(
% j(B),quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(eta(B))),eta(B))) <->
% difference(eta(A),difference(j(eta(A)),quotient(i(i(t(eta(A),B))),j(eta(A)))))
% Current number of equations to process: 382
% Current number of ordered equations: 115
% Current number of rules: 923
% New rule produced :
% [1419]
% difference(eta(A),difference(j(eta(A)),quotient(i(i(t(eta(A),B))),j(eta(A)))))
% <->
% t(eta(A),quotient(quotient(difference(j(eta(B)),difference(B,difference(
% j(B),quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(eta(B))),eta(B)))
% Current number of equations to process: 382
% Current number of ordered equations: 114
% Current number of rules: 924
% New rule produced :
% [1420]
% difference(difference(quotient(eta(A),j(eta(A))),t(eta(A),difference(
% j(eta(A)),quotient(B,
% j(
% eta(A)))))),
% difference(j(difference(quotient(eta(A),j(eta(A))),t(eta(A),difference(
% j(eta(A)),
% quotient(B,
% j(eta(A))))))),
% quotient(t(difference(quotient(eta(A),j(eta(A))),t(eta(A),difference(
% j(eta(A)),quotient(B,
% j(
% eta(A)))))),
% difference(quotient(eta(A),j(eta(A))),t(eta(A),difference(j(eta(A)),
% quotient(C,j(eta(A))))))),
% j(difference(quotient(eta(A),j(eta(A))),t(eta(A),difference(j(eta(A)),
% quotient(B,j(eta(A))))))))))
% ->
% difference(quotient(eta(A),j(eta(A))),t(eta(A),difference(j(eta(A)),quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))),
% j(
% eta(A))))))
% Current number of equations to process: 381
% Current number of ordered equations: 114
% Current number of rules: 925
% New rule produced :
% [1421]
% quotient(quotient(difference(B,quotient(quotient(difference(j(C),i(A)),j(C)),
% j(j(C)))),j(A)),j(j(A))) <->
% quotient(difference(difference(A,quotient(quotient(B,j(A)),j(j(A)))),
% difference(A,quotient(quotient(j(j(C)),j(A)),j(j(A))))),A)
% Current number of equations to process: 379
% Current number of ordered equations: 115
% Current number of rules: 926
% New rule produced :
% [1422]
% quotient(difference(difference(A,quotient(quotient(B,j(A)),j(j(A)))),
% difference(A,quotient(quotient(j(j(C)),j(A)),j(j(A))))),A) <->
% quotient(quotient(difference(B,quotient(quotient(difference(j(C),i(A)),j(C)),
% j(j(C)))),j(A)),j(j(A)))
% Current number of equations to process: 379
% Current number of ordered equations: 114
% Current number of rules: 927
% New rule produced :
% [1423]
% quotient(difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(B,j(difference(B,difference(j(B),quotient(A,j(B))))))),
% difference(j(B),quotient(A,j(B)))) ->
% difference(B,difference(j(B),quotient(A,j(B))))
% Current number of equations to process: 379
% Current number of ordered equations: 113
% Current number of rules: 928
% New rule produced :
% [1424]
% quotient(difference(j(difference(A,difference(j(A),quotient(B,j(A))))),
% quotient(A,j(difference(B,difference(j(B),quotient(t(B,A),j(B))))))),
% difference(j(A),quotient(B,j(A)))) ->
% difference(A,difference(j(A),quotient(B,j(A))))
% Current number of equations to process: 379
% Current number of ordered equations: 112
% Current number of rules: 929
% New rule produced :
% [1425]
% quotient(difference(A,difference(j(A),quotient(t(A,t(eta(B),quotient(
% quotient(
% difference(
% j(eta(A)),
% eta(B)),j(eta(A))),
% eta(A)))),
% j(A)))),eta(A)) ->
% difference(A,difference(j(A),quotient(t(A,eta(B)),j(A))))
% Current number of equations to process: 378
% Current number of ordered equations: 112
% Current number of rules: 930
% New rule produced :
% [1426]
% quotient(quotient(difference(A,quotient(quotient(difference(B,difference(
% j(B),quotient(
% t(B,C),
% j(B)))),
% j(A)),j(j(A)))),C),B) <->
% difference(difference(B,difference(j(B),quotient(t(B,C),j(B)))),difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% i(A)),
% j(C))))),
% j(B)))))
% Current number of equations to process: 378
% Current number of ordered equations: 111
% Current number of rules: 931
% New rule produced :
% [1427]
% difference(difference(B,difference(j(B),quotient(t(B,C),j(B)))),difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% i(A)),
% j(C))))),
% j(B))))) <->
% quotient(quotient(difference(A,quotient(quotient(difference(B,difference(
% j(B),quotient(
% t(B,C),
% j(B)))),
% j(A)),j(j(A)))),C),B)
% Rule
% [681]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% i(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(B))))),
% j(A))))) ->
% quotient(quotient(eta(difference(A,difference(j(A),quotient(t(A,B),j(A))))),B),A)
% collapsed.
% Current number of equations to process: 378
% Current number of ordered equations: 110
% Current number of rules: 931
% New rule produced :
% [1428]
% difference(eta(A),difference(A,quotient(j(eta(A)),j(j(A))))) ->
% quotient(quotient(difference(A,quotient(quotient(difference(eta(A),j(j(j(A)))),
% eta(A)),j(eta(A)))),A),i(A))
% Current number of equations to process: 377
% Current number of ordered equations: 110
% Current number of rules: 932
% New rule produced :
% [1429]
% quotient(difference(A,difference(j(A),quotient(t(A,C),j(A)))),difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))))
% <->
% t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),quotient(difference(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),A))
% Current number of equations to process: 377
% Current number of ordered equations: 109
% Current number of rules: 933
% New rule produced :
% [1430]
% t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),quotient(difference(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),A))
% <->
% quotient(difference(A,difference(j(A),quotient(t(A,C),j(A)))),difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))))
% Current number of equations to process: 377
% Current number of ordered equations: 108
% Current number of rules: 934
% New rule produced :
% [1431]
% difference(difference(A,difference(j(A),quotient(t(A,i(B)),j(A)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% quotient(
% quotient(C,
% j(B)),
% j(
% j(B))))),
% j(A)))))
% <->
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),quotient(
% t(A,
% i(B)),
% j(A))))),
% j(C)))),i(B)),A)
% Current number of equations to process: 377
% Current number of ordered equations: 107
% Current number of rules: 935
% New rule produced :
% [1432]
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),quotient(
% t(A,
% i(B)),
% j(A))))),
% j(C)))),i(B)),A) <->
% difference(difference(A,difference(j(A),quotient(t(A,i(B)),j(A)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% quotient(
% quotient(C,
% j(B)),
% j(
% j(B))))),
% j(A)))))
% Current number of equations to process: 377
% Current number of ordered equations: 106
% Current number of rules: 936
% New rule produced :
% [1433]
% quotient(quotient(quotient(quotient(quotient(difference(A,difference(B,
% difference(
% j(B),quotient(
% t(B,eta(A)),
% j(B))))),A),
% i(A)),eta(A)),j(eta(A))),difference(A,quotient(
% quotient(B,
% j(A)),
% j(j(A)))))
% -> j(eta(A))
% Current number of equations to process: 377
% Current number of ordered equations: 105
% Current number of rules: 937
% New rule produced :
% [1434]
% difference(j(t(quotient(A,B),B)),quotient(t(t(quotient(A,B),B),quotient(A,B)),
% j(t(quotient(A,B),B)))) ->
% difference(t(quotient(A,B),B),difference(j(t(quotient(A,B),B)),quotient(
% t(t(quotient(A,B),B),A),
% j(t(quotient(A,B),B)))))
% Rule
% [1249]
% quotient(difference(j(t(quotient(A,B),B)),quotient(t(t(quotient(A,B),B),
% quotient(A,B)),j(t(
% quotient(A,B),B)))),A)
% -> t(quotient(A,B),B) collapsed.
% Current number of equations to process: 377
% Current number of ordered equations: 103
% Current number of rules: 937
% Rule [1392]
% t(eta(B),quotient(difference(C,eta(difference(eta(B),A))),difference(
% eta(B),A)))
% <->
% i(difference(quotient(A,eta(B)),t(eta(B),difference(j(difference(
% eta(B),A)),
% quotient(t(difference(eta(B),A),C),
% j(difference(eta(B),A))))))) is composed into
% [1392]
% t(eta(B),quotient(difference(C,eta(difference(eta(B),A))),difference(
% eta(B),A))) <->
% i(difference(quotient(A,eta(B)),difference(j(quotient(A,eta(B))),quotient(
% t(quotient(A,
% eta(B)),
% t(eta(B),C)),
% j(quotient(A,
% eta(B)))))))
% New rule produced :
% [1435]
% difference(quotient(A,eta(B)),t(eta(B),difference(j(difference(eta(B),A)),
% quotient(t(difference(eta(B),A),C),
% j(difference(eta(B),A)))))) ->
% difference(quotient(A,eta(B)),difference(j(quotient(A,eta(B))),quotient(
% t(quotient(A,
% eta(B)),
% t(eta(B),C)),
% j(quotient(A,
% eta(B))))))
% Rule
% [1366]
% difference(quotient(C,eta(A)),difference(quotient(C,eta(A)),t(eta(A),
% difference(
% j(difference(
% eta(A),C)),
% quotient(
% t(difference(
% eta(A),C),B),
% j(difference(
% eta(A),C)))))))
% -> t(eta(A),B) collapsed.
% Rule
% [1391]
% i(difference(quotient(A,eta(B)),t(eta(B),difference(j(difference(eta(B),A)),
% quotient(t(difference(eta(B),A),C),
% j(difference(eta(B),A))))))) <->
% t(eta(B),quotient(difference(C,eta(difference(eta(B),A))),difference(
% eta(B),A)))
% collapsed.
% Rule
% [1396]
% quotient(difference(quotient(B,eta(A)),t(eta(A),difference(j(difference(
% eta(A),B)),
% quotient(t(difference(
% eta(A),B),C),
% j(difference(eta(A),B)))))),
% quotient(B,eta(A))) -> t(quotient(B,eta(A)),t(eta(A),C)) collapsed.
% Current number of equations to process: 374
% Current number of ordered equations: 102
% Current number of rules: 935
% New rule produced :
% [1436]
% quotient(quotient(difference(j(eta(A)),eta(B)),j(eta(A))),eta(A)) <->
% quotient(t(eta(A),quotient(quotient(difference(j(eta(B)),difference(B,
% difference(j(B),
% quotient(t(B,eta(A)),
% j(B))))),j(eta(B))),
% eta(B))),B)
% Current number of equations to process: 371
% Current number of ordered equations: 103
% Current number of rules: 936
% New rule produced :
% [1437]
% quotient(t(eta(A),quotient(quotient(difference(j(eta(B)),difference(B,
% difference(j(B),
% quotient(t(B,eta(A)),
% j(B))))),j(eta(B))),
% eta(B))),B) <->
% quotient(quotient(difference(j(eta(A)),eta(B)),j(eta(A))),eta(A))
% Current number of equations to process: 371
% Current number of ordered equations: 102
% Current number of rules: 937
% New rule produced :
% [1438]
% t(A,quotient(quotient(difference(B,A),B),j(B))) <->
% difference(A,difference(difference(j(A),j(j(A))),difference(j(difference(
% j(A),j(j(A)))),
% quotient(t(difference(
% j(A),j(j(A))),
% j(B)),j(difference(
% j(A),
% j(j(A))))))))
% Rule
% [304]
% t(A,quotient(quotient(difference(j(B),A),j(B)),j(j(B)))) <->
% difference(A,difference(difference(j(A),j(j(A))),difference(j(difference(
% j(A),j(j(A)))),
% quotient(t(difference(
% j(A),j(j(A))),
% j(j(B))),j(
% difference(
% j(A),
% j(
% j(A))))))))
% collapsed.
% Current number of equations to process: 371
% Current number of ordered equations: 91
% Current number of rules: 937
% New rule produced :
% [1439]
% quotient(quotient(difference(difference(j(A),j(j(A))),difference(A,difference(
% j(A),
% quotient(
% t(A,
% j(
% j(B))),
% j(A))))),
% j(A)),quotient(quotient(difference(j(B),A),j(B)),j(j(B)))) ->
% j(A)
% Current number of equations to process: 370
% Current number of ordered equations: 91
% Current number of rules: 938
% New rule produced :
% [1440]
% difference(B,difference(C,difference(j(C),quotient(t(C,difference(difference(C,B),
% difference(j(difference(C,B)),
% quotient(t(difference(C,B),A),
% j(difference(C,B)))))),
% j(C))))) <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(C,B)),C)
% Current number of equations to process: 370
% Current number of ordered equations: 88
% Current number of rules: 939
% New rule produced :
% [1441]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(C,B)),C) <->
% difference(B,difference(C,difference(j(C),quotient(t(C,difference(difference(C,B),
% difference(j(difference(C,B)),
% quotient(t(difference(C,B),A),
% j(difference(C,B)))))),
% j(C)))))
% Current number of equations to process: 370
% Current number of ordered equations: 85
% Current number of rules: 940
% New rule produced :
% [1442]
% difference(B,difference(quotient(B,C),difference(j(quotient(B,C)),quotient(
% t(quotient(B,C),
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(quotient(B,C))))))
% <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% quotient(B,C))
% Current number of equations to process: 370
% Current number of ordered equations: 84
% Current number of rules: 941
% New rule produced :
% [1443]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% quotient(B,C)) <->
% difference(B,difference(quotient(B,C),difference(j(quotient(B,C)),quotient(
% t(quotient(B,C),
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(quotient(B,C))))))
% Current number of equations to process: 370
% Current number of ordered equations: 83
% Current number of rules: 942
% New rule produced :
% [1444]
% difference(A,difference(quotient(A,i(A)),difference(j(quotient(A,i(A))),
% quotient(t(quotient(A,i(A)),B),
% j(quotient(A,i(A))))))) ->
% quotient(difference(i(A),quotient(B,j(A))),A)
% Rule
% [1381]
% quotient(difference(B,difference(quotient(B,i(B)),difference(j(quotient(B,
% i(B))),
% quotient(t(quotient(B,i(B)),A),
% j(quotient(B,i(B))))))),A)
% -> quotient(quotient(difference(i(B),quotient(A,j(B))),B),A) collapsed.
% Current number of equations to process: 375
% Current number of ordered equations: 83
% Current number of rules: 942
% New rule produced :
% [1445]
% quotient(quotient(difference(i(difference(A,B)),B),difference(A,B)),A) ->
% difference(A,B)
% Current number of equations to process: 378
% Current number of ordered equations: 83
% Current number of rules: 943
% New rule produced :
% [1446]
% difference(A,quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)))
% <->
% quotient(quotient(quotient(difference(A,difference(B,difference(j(B),
% quotient(t(B,A),
% j(B))))),A),j(A)),A)
% Current number of equations to process: 379
% Current number of ordered equations: 84
% Current number of rules: 944
% New rule produced :
% [1447]
% quotient(quotient(quotient(difference(A,difference(B,difference(j(B),
% quotient(t(B,A),
% j(B))))),A),j(A)),A) <->
% difference(A,quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)))
% Current number of equations to process: 379
% Current number of ordered equations: 83
% Current number of rules: 945
% New rule produced :
% [1448]
% quotient(difference(A,quotient(quotient(difference(B,difference(j(B),
% quotient(t(B,A),
% j(B)))),j(A)),j(j(A)))),A)
% -> difference(A,B)
% Rule
% [1329]
% quotient(quotient(difference(B,quotient(quotient(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(B)),j(j(B)))),B),A) ->
% quotient(difference(B,A),A) collapsed.
% Current number of equations to process: 381
% Current number of ordered equations: 83
% Current number of rules: 945
% Rule [1438]
% t(A,quotient(quotient(difference(B,A),B),j(B))) <->
% difference(A,difference(difference(j(A),j(j(A))),difference(j(difference(
% j(A),
% j(
% j(A)))),
% quotient(t(difference(
% j(A),
% j(j(A))),
% j(B)),
% j(difference(j(A),
% j(j(A)))))))) is composed into
% [1438]
% t(A,quotient(quotient(difference(B,A),B),j(B))) <->
% quotient(difference(j(A),quotient(j(B),j(A))),A)
% Rule [1162]
% difference(difference(A,difference(j(A),quotient(t(difference(j(A),
% j(j(A))),B),j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(difference(j(A),
% j(j(A)))),quotient(
% t(difference(
% j(A),
% j(j(A))),B),
% j(difference(
% j(A),
% j(j(A))))))))
% ->
% quotient(difference(A,difference(difference(j(A),j(j(A))),difference(
% j(difference(
% j(A),
% j(j(A)))),
% quotient(
% t(difference(
% j(A),
% j(j(A))),
% t(difference(
% j(A),
% j(j(A))),B)),
% j(difference(
% j(A),
% j(j(A)))))))),
% t(difference(j(A),j(j(A))),B)) is composed into [1162]
% difference(difference(A,
% difference(
% j(A),
% quotient(
% t(difference(
% j(A),
% j(j(A))),B),
% j(A)))),
% difference(difference(
% j(A),
% j(j(A))),
% difference(j(difference(
% j(A),
% j(j(A)))),
% quotient(t(difference(
% j(A),
% j(j(A))),B),
% j(difference(j(A),
% j(j(A)))))))) ->
% quotient(quotient(
% difference(
% j(A),quotient(
% t(
% difference(
% j(A),
% j(
% j(A))),B),
% j(A))),A),
% t(difference(j(A),
% j(j(A))),B))
% Rule [1083]
% difference(difference(B,difference(j(B),quotient(quotient(A,difference(
% j(B),
% j(j(B)))),
% j(B)))),A) ->
% quotient(difference(B,difference(difference(j(B),j(j(B))),difference(
% j(difference(
% j(B),
% j(j(B)))),
% quotient(
% t(difference(
% j(B),
% j(j(B))),
% quotient(A,
% difference(
% j(B),j(j(B))))),
% j(difference(
% j(B),
% j(j(B)))))))),
% quotient(A,difference(j(B),j(j(B))))) is composed into [1083]
% difference(
% difference(B,
% difference(
% j(B),quotient(
% quotient(A,
% difference(
% j(B),
% j(j(B)))),
% j(B)))),A)
% ->
% quotient(
% quotient(
% difference(
% j(B),quotient(
% quotient(A,
% difference(
% j(B),
% j(j(B)))),
% j(B))),B),
% quotient(A,
% difference(
% j(B),j(j(B)))))
% Rule [881]
% quotient(quotient(t(A,difference(B,difference(j(B),quotient(t(B,A),j(B))))),B),
% difference(j(A),j(j(A)))) <->
% quotient(quotient(difference(A,difference(difference(j(A),j(j(A))),
% difference(j(difference(j(A),j(j(A)))),
% quotient(t(difference(j(A),j(j(A))),B),
% j(difference(j(A),j(j(A)))))))),B),
% difference(j(A),j(j(A)))) is composed into [881]
% quotient(quotient(t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,A),
% j(B))))),B),
% difference(j(A),j(j(A)))) <->
% quotient(quotient(quotient(
% difference(
% j(A),
% quotient(B,
% j(A))),A),B),
% difference(j(A),j(j(A))))
% Rule [855]
% t(eta(A),t(B,difference(C,difference(j(C),quotient(t(C,B),j(C)))))) <->
% t(eta(A),difference(B,difference(difference(j(B),j(j(B))),difference(
% j(difference(
% j(B),
% j(j(B)))),
% quotient(
% t(difference(
% j(B),
% j(j(B))),C),
% j(difference(
% j(B),
% j(j(B))))))))) is composed into
% [855]
% t(eta(A),t(B,difference(C,difference(j(C),quotient(t(C,B),j(C)))))) <->
% t(eta(A),quotient(difference(j(B),quotient(C,j(B))),B))
% New rule produced :
% [1449]
% difference(A,difference(difference(j(A),j(j(A))),difference(j(difference(
% j(A),j(j(A)))),
% quotient(t(difference(
% j(A),j(j(A))),B),
% j(difference(j(A),j(j(A))))))))
% -> quotient(difference(j(A),quotient(B,j(A))),A)
% Rule
% [854]
% t(eta(A),difference(B,difference(difference(j(B),j(j(B))),difference(
% j(difference(
% j(B),j(j(B)))),
% quotient(t(
% difference(
% j(B),
% j(
% j(B))),C),
% j(difference(
% j(B),j(j(B)))))))))
% <-> t(eta(A),t(B,difference(C,difference(j(C),quotient(t(C,B),j(C))))))
% collapsed.
% Rule
% [880]
% quotient(quotient(difference(A,difference(difference(j(A),j(j(A))),difference(
% j(
% difference(
% j(A),
% j(
% j(A)))),
% quotient(
% t(
% difference(
% j(A),
% j(
% j(A))),B),
% j(
% difference(
% j(A),
% j(
% j(A)))))))),B),
% difference(j(A),j(j(A)))) <->
% quotient(quotient(t(A,difference(B,difference(j(B),quotient(t(B,A),j(B))))),B),
% difference(j(A),j(j(A)))) collapsed.
% Rule
% [883]
% quotient(difference(B,difference(difference(j(B),j(j(B))),difference(
% j(difference(
% j(B),j(j(B)))),
% quotient(t(
% difference(
% j(B),
% j(
% j(B))),
% eta(A)),
% j(difference(
% j(B),j(j(B)))))))),
% eta(A)) <->
% quotient(t(B,quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A))),
% eta(A)) collapsed.
% Current number of equations to process: 384
% Current number of ordered equations: 76
% Current number of rules: 943
% New rule produced :
% [1450]
% quotient(quotient(difference(j(B),quotient(eta(A),j(B))),B),eta(A)) <->
% quotient(t(B,quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A))),
% eta(A))
% Current number of equations to process: 383
% Current number of ordered equations: 77
% Current number of rules: 944
% New rule produced :
% [1451]
% quotient(t(B,quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A))),
% eta(A)) <->
% quotient(quotient(difference(j(B),quotient(eta(A),j(B))),B),eta(A))
% Current number of equations to process: 383
% Current number of ordered equations: 76
% Current number of rules: 945
% New rule produced :
% [1452]
% difference(j(A),difference(quotient(j(A),A),difference(j(quotient(j(A),A)),
% quotient(t(quotient(j(A),A),B),
% j(quotient(j(A),A)))))) ->
% quotient(difference(A,quotient(B,j(j(A)))),j(A))
% Current number of equations to process: 384
% Current number of ordered equations: 76
% Current number of rules: 946
% Rule [1256]
% quotient(quotient(difference(i(A),difference(B,difference(j(B),quotient(
% t(B,
% eta(A)),
% j(B))))),
% i(A)),i(i(A))) ->
% difference(eta(A),difference(i(A),quotient(quotient(B,A),j(A)))) is composed into
% [1256]
% quotient(quotient(difference(i(A),difference(B,difference(j(B),quotient(
% t(B,eta(A)),
% j(B))))),
% i(A)),i(i(A))) ->
% difference(A,difference(j(A),quotient(t(A,B),j(A))))
% New rule produced :
% [1453]
% difference(eta(A),difference(i(A),quotient(quotient(B,A),j(A)))) ->
% difference(A,difference(j(A),quotient(t(A,B),j(A))))
% Current number of equations to process: 384
% Current number of ordered equations: 76
% Current number of rules: 947
% New rule produced :
% [1454]
% difference(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),
% difference(A,difference(j(A),quotient(t(A,t(eta(B),quotient(quotient(
% difference(
% j(eta(A)),
% eta(B)),j(eta(A))),
% eta(A)))),j(A))))) ->
% eta(A)
% Current number of equations to process: 397
% Current number of ordered equations: 76
% Current number of rules: 948
% New rule produced :
% [1455]
% difference(quotient(quotient(difference(A,j(A)),A),j(A)),difference(j(
% quotient(
% quotient(
% difference(A,
% j(A)),A),
% j(A))),
% quotient(t(quotient(
% quotient(
% difference(A,
% j(A)),A),
% j(A)),A),
% j(quotient(quotient(
% difference(A,
% j(A)),A),
% j(A)))))) ->
% i(A)
% Current number of equations to process: 395
% Current number of ordered equations: 76
% Current number of rules: 949
% New rule produced :
% [1456]
% difference(difference(i(quotient(eta(A),j(eta(A)))),quotient(quotient(
% j(eta(A)),
% quotient(
% eta(A),j(eta(A)))),
% j(quotient(eta(A),
% j(eta(A)))))),eta(
% quotient(
% eta(A),
% j(
% eta(A)))))
% -> quotient(eta(A),i(i(quotient(eta(A),j(eta(A))))))
% Current number of equations to process: 394
% Current number of ordered equations: 76
% Current number of rules: 950
% New rule produced :
% [1457]
% quotient(difference(C,quotient(difference(i(A),difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A))))),A)),
% t(A,B)) ->
% quotient(difference(C,difference(A,difference(j(A),quotient(t(A,t(A,B)),j(A))))),
% t(A,B))
% Current number of equations to process: 393
% Current number of ordered equations: 76
% Current number of rules: 951
% New rule produced :
% [1458]
% quotient(difference(A,difference(C,difference(j(C),quotient(t(C,t(A,B)),j(C))))),
% t(A,B)) <->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% t(A,B),
% difference(
% j(t(A,B)),
% quotient(
% t(t(A,B),C),
% j(t(A,B))))))
% Current number of equations to process: 393
% Current number of ordered equations: 75
% Current number of rules: 952
% New rule produced :
% [1459]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% t(A,B),
% difference(
% j(t(A,B)),
% quotient(
% t(t(A,B),C),
% j(t(A,B))))))
% <->
% quotient(difference(A,difference(C,difference(j(C),quotient(t(C,t(A,B)),j(C))))),
% t(A,B))
% Current number of equations to process: 393
% Current number of ordered equations: 74
% Current number of rules: 953
% New rule produced :
% [1460]
% difference(difference(A,j(j(j(A)))),difference(A,quotient(t(j(A),B),j(j(A)))))
% <->
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,difference(A,
% j(j(j(A))))),
% j(B)))),j(A)),i(A))
% Current number of equations to process: 391
% Current number of ordered equations: 75
% Current number of rules: 954
% New rule produced :
% [1461]
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,difference(A,
% j(j(j(A))))),
% j(B)))),j(A)),i(A)) <->
% difference(difference(A,j(j(j(A)))),difference(A,quotient(t(j(A),B),j(j(A)))))
% Current number of equations to process: 391
% Current number of ordered equations: 74
% Current number of rules: 955
% New rule produced :
% [1462]
% quotient(difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(j(A),j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))),
% quotient(quotient(B,A),j(A))) ->
% difference(A,difference(j(A),quotient(t(A,B),j(A))))
% Current number of equations to process: 388
% Current number of ordered equations: 73
% Current number of rules: 956
% New rule produced :
% [1463]
% quotient(difference(difference(difference(j(A),j(j(A))),difference(j(A),
% quotient(t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),difference(
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),
% quotient(
% t(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),B),
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))))))),
% quotient(difference(eta(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% difference(B,difference(j(B),quotient(t(B,difference(difference(
% j(A),j(j(A))),
% difference(j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),
% j(B))))),difference(difference(
% j(A),j(j(A))),
% difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))))) ->
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(difference(difference(j(A),j(j(A))),difference(j(A),
% quotient(t(A,C),
% j(A)))),difference(
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))),
% quotient(
% t(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),
% eta(difference(
% difference(
% j(A),
% j(
% j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))))))),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A))))))))
% Current number of equations to process: 388
% Current number of ordered equations: 72
% Current number of rules: 957
% New rule produced :
% [1464]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,eta(A)),
% j(B))))),
% j(A)))),difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A))))) ->
% t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),eta(A))
% Current number of equations to process: 388
% Current number of ordered equations: 71
% Current number of rules: 958
% New rule produced :
% [1465]
% quotient(difference(j(B),difference(j(j(j(B))),quotient(quotient(difference(B,
% quotient(
% quotient(
% difference(B,A),B),
% j(B))),B),
% j(B)))),A) <->
% quotient(quotient(quotient(quotient(difference(j(eta(B)),difference(A,
% difference(j(A),
% quotient(t(A,j(B)),
% j(A))))),j(eta(B))),
% eta(B)),j(B)),A)
% Current number of equations to process: 386
% Current number of ordered equations: 72
% Current number of rules: 959
% New rule produced :
% [1466]
% quotient(quotient(quotient(quotient(difference(j(eta(B)),difference(A,
% difference(j(A),
% quotient(t(A,j(B)),
% j(A))))),j(eta(B))),
% eta(B)),j(B)),A) <->
% quotient(difference(j(B),difference(j(j(j(B))),quotient(quotient(difference(B,
% quotient(
% quotient(
% difference(B,A),B),
% j(B))),B),
% j(B)))),A)
% Current number of equations to process: 386
% Current number of ordered equations: 71
% Current number of rules: 960
% New rule produced :
% [1467]
% t(A,t(A,difference(B,difference(j(B),quotient(t(B,A),j(B)))))) <->
% quotient(difference(difference(j(A),j(j(A))),difference(j(difference(
% j(A),j(j(A)))),
% quotient(t(difference(j(A),
% j(j(A))),B),j(
% difference(
% j(A),
% j(
% j(A))))))),A)
% Current number of equations to process: 385
% Current number of ordered equations: 70
% Current number of rules: 961
% New rule produced :
% [1468]
% quotient(difference(difference(j(A),j(j(A))),difference(j(difference(
% j(A),j(j(A)))),
% quotient(t(difference(j(A),
% j(j(A))),B),j(
% difference(
% j(A),
% j(
% j(A))))))),A)
% <-> t(A,t(A,difference(B,difference(j(B),quotient(t(B,A),j(B))))))
% Current number of equations to process: 385
% Current number of ordered equations: 69
% Current number of rules: 962
% New rule produced :
% [1469]
% quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)) <->
% difference(A,quotient(quotient(quotient(difference(A,difference(j(A),
% quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% i(A)),
% j(B))))),
% j(A)))),i(A)),j(A)),
% j(j(A))))
% Current number of equations to process: 383
% Current number of ordered equations: 70
% Current number of rules: 963
% New rule produced :
% [1470]
% difference(A,quotient(quotient(quotient(difference(A,difference(j(A),
% quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% i(A)),
% j(B))))),
% j(A)))),i(A)),j(A)),
% j(j(A)))) <->
% quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A))
% Current number of equations to process: 383
% Current number of ordered equations: 69
% Current number of rules: 964
% New rule produced :
% [1471]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(j(B),j(j(B)))),
% j(A)))),difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A))))) ->
% t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),quotient(t(B,difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),A))
% Current number of equations to process: 383
% Current number of ordered equations: 68
% Current number of rules: 965
% New rule produced :
% [1472]
% difference(difference(C,difference(j(C),quotient(t(C,A),j(C)))),difference(C,
% difference(
% j(C),
% quotient(
% t(C,i(i(B))),
% j(C))))) <->
% quotient(difference(A,quotient(quotient(difference(j(eta(B)),difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(eta(B))),eta(B))),C)
% Current number of equations to process: 381
% Current number of ordered equations: 69
% Current number of rules: 966
% New rule produced :
% [1473]
% quotient(difference(A,quotient(quotient(difference(j(eta(B)),difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(eta(B))),eta(B))),C) <->
% difference(difference(C,difference(j(C),quotient(t(C,A),j(C)))),difference(C,
% difference(
% j(C),
% quotient(
% t(C,i(i(B))),
% j(C)))))
% Current number of equations to process: 381
% Current number of ordered equations: 68
% Current number of rules: 967
% New rule produced :
% [1474]
% quotient(quotient(quotient(difference(j(eta(t(eta(A),B))),t(eta(A),difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))))),
% j(eta(t(eta(A),B)))),eta(t(eta(A),B))),t(eta(A),C)) ->
% i(i(t(eta(A),B)))
% Current number of equations to process: 378
% Current number of ordered equations: 68
% Current number of rules: 968
% New rule produced :
% [1475]
% quotient(quotient(quotient(difference(j(eta(A)),difference(A,difference(
% j(A),quotient(
% t(A,
% i(i(B))),
% j(A))))),
% j(eta(A))),eta(A)),B) ->
% quotient(quotient(difference(j(eta(A)),difference(A,difference(j(A),quotient(
% t(A,
% eta(B)),
% j(A))))),
% j(eta(A))),eta(A))
% Current number of equations to process: 377
% Current number of ordered equations: 68
% Current number of rules: 969
% New rule produced :
% [1476]
% difference(j(A),difference(B,difference(j(B),quotient(t(B,A),j(B))))) <->
% quotient(quotient(difference(x2,difference(j(x2),quotient(difference(j(A),B),
% j(x2)))),quotient(difference(
% eta(A),
% difference(x2,
% difference(
% j(x2),
% quotient(
% t(x2,
% difference(
% j(A),B)),
% j(x2))))),
% difference(
% j(A),B))),j(A))
% Current number of equations to process: 377
% Current number of ordered equations: 67
% Current number of rules: 970
% New rule produced :
% [1477]
% quotient(quotient(difference(x2,difference(j(x2),quotient(difference(j(A),B),
% j(x2)))),quotient(difference(
% eta(A),
% difference(x2,
% difference(
% j(x2),
% quotient(
% t(x2,
% difference(
% j(A),B)),
% j(x2))))),
% difference(
% j(A),B))),j(A)) <->
% difference(j(A),difference(B,difference(j(B),quotient(t(B,A),j(B)))))
% Current number of equations to process: 377
% Current number of ordered equations: 66
% Current number of rules: 971
% New rule produced :
% [1478]
% quotient(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,i(A)),
% j(B))))),
% j(A)))),i(A))) -> i(A)
% Current number of equations to process: 376
% Current number of ordered equations: 66
% Current number of rules: 972
% New rule produced :
% [1479]
% difference(difference(i(A),quotient(quotient(difference(j(eta(A)),B),
% j(eta(A))),eta(A))),difference(A,
% difference(j(A),
% quotient(t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% i(A)),
% j(B))))),
% j(A))))) -> i(A)
% Current number of equations to process: 375
% Current number of ordered equations: 66
% Current number of rules: 973
% New rule produced :
% [1480]
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,quotient(j(A),A)),
% j(B)))),i(A)),j(A)) <->
% difference(quotient(j(A),A),quotient(quotient(difference(A,difference(A,
% quotient(quotient(B,
% j(A)),
% j(j(A))))),A),
% j(A)))
% Current number of equations to process: 373
% Current number of ordered equations: 67
% Current number of rules: 974
% New rule produced :
% [1481]
% difference(quotient(j(A),A),quotient(quotient(difference(A,difference(A,
% quotient(quotient(B,
% j(A)),
% j(j(A))))),A),
% j(A))) <->
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,quotient(j(A),A)),
% j(B)))),i(A)),j(A))
% Current number of equations to process: 373
% Current number of ordered equations: 66
% Current number of rules: 975
% New rule produced :
% [1482]
% quotient(difference(eta(B),difference(B,quotient(quotient(A,j(B)),j(j(B))))),A)
% <->
% quotient(quotient(quotient(quotient(difference(B,difference(A,difference(
% j(A),quotient(
% t(A,
% eta(B)),
% j(A))))),B),
% j(B)),eta(B)),A)
% Current number of equations to process: 372
% Current number of ordered equations: 67
% Current number of rules: 976
% New rule produced :
% [1483]
% quotient(quotient(quotient(quotient(difference(B,difference(A,difference(
% j(A),quotient(
% t(A,
% eta(B)),
% j(A))))),B),
% j(B)),eta(B)),A) <->
% quotient(difference(eta(B),difference(B,quotient(quotient(A,j(B)),j(j(B))))),A)
% Current number of equations to process: 372
% Current number of ordered equations: 66
% Current number of rules: 977
% New rule produced :
% [1484]
% quotient(difference(eta(A),difference(j(eta(A)),quotient(difference(eta(A),
% difference(j(eta(A)),
% quotient(j(j(
% t(
% eta(A),B))),
% j(eta(A))))),
% j(eta(A))))),quotient(
% quotient(
% difference(
% j(B),eta(A)),
% j(B)),j(j(B))))
% -> eta(A)
% Current number of equations to process: 370
% Current number of ordered equations: 65
% Current number of rules: 978
% New rule produced :
% [1485]
% difference(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,V_3),
% j(B)))),
% difference(difference(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B)))),
% difference(j(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B))))),
% quotient(t(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B)))),A),
% j(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,V_3),
% j(B)))))))),
% difference(j(difference(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B)))),
% difference(j(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B))))),
% quotient(t(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B)))),A),
% j(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,V_3),
% j(B))))))))),
% quotient(t(difference(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B)))),
% difference(j(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B))))),
% quotient(t(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B)))),A),
% j(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,V_3),
% j(B)))))))),
% difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,C),j(B))))),
% j(difference(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,V_3),
% j(B)))),
% difference(j(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,V_3),
% j(B))))),
% quotient(t(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,V_3),
% j(B)))),A),
% j(difference(difference(j(B),j(j(B))),difference(j(B),quotient(t(B,V_3),
% j(B))))))))))))) <->
% quotient(difference(A,difference(j(A),quotient(t(A,difference(difference(
% j(B),j(j(B))),
% difference(j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C))))),
% j(B))))),
% j(A)))),difference(difference(j(B),
% j(j(B))),difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B)))))
% Current number of equations to process: 369
% Current number of ordered equations: 64
% Current number of rules: 979
% New rule produced :
% [1486]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(difference(
% j(B),j(j(B))),
% difference(j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C))))),
% j(B))))),
% j(A)))),difference(difference(j(B),
% j(j(B))),difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B)))))
% <->
% difference(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,V_3),
% j(B)))),
% difference(difference(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B)))),
% difference(j(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B))))),
% quotient(t(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B)))),A),
% j(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,V_3),
% j(B)))))))),
% difference(j(difference(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B)))),
% difference(j(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B))))),
% quotient(t(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B)))),A),
% j(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,V_3),
% j(B))))))))),
% quotient(t(difference(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B)))),
% difference(j(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B))))),
% quotient(t(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B)))),A),
% j(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,V_3),
% j(B)))))))),
% difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,C),j(B))))),
% j(difference(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,V_3),
% j(B)))),
% difference(j(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,V_3),
% j(B))))),
% quotient(t(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,V_3),
% j(B)))),A),
% j(difference(difference(j(B),j(j(B))),difference(j(B),quotient(t(B,V_3),
% j(B)))))))))))))
% Current number of equations to process: 369
% Current number of ordered equations: 63
% Current number of rules: 980
% New rule produced :
% [1487]
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),V_3),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))))))) <->
% quotient(difference(difference(difference(j(A),j(j(A))),difference(j(A),
% quotient(t(A,C),
% j(A)))),difference(
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))),
% quotient(
% t(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,
% difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(V_3))))),
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))))))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))))
% Current number of equations to process: 369
% Current number of ordered equations: 62
% Current number of rules: 981
% New rule produced :
% [1488]
% quotient(difference(difference(difference(j(A),j(j(A))),difference(j(A),
% quotient(t(A,C),
% j(A)))),difference(
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))),
% quotient(
% t(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,
% difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(V_3))))),
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))))))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))))
% <->
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),V_3),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))))))))
% Current number of equations to process: 369
% Current number of ordered equations: 61
% Current number of rules: 982
% New rule produced :
% [1489]
% difference(A,difference(j(A),quotient(t(A,t(A,difference(B,difference(
% j(B),quotient(
% t(B,A),
% j(B)))))),
% j(A)))) <->
% difference(difference(j(A),j(j(A))),difference(j(difference(j(A),j(j(A)))),
% quotient(t(difference(j(A),j(j(A))),B),
% j(difference(j(A),j(j(A)))))))
% Current number of equations to process: 368
% Current number of ordered equations: 60
% Current number of rules: 983
% New rule produced :
% [1490]
% difference(difference(j(A),j(j(A))),difference(j(difference(j(A),j(j(A)))),
% quotient(t(difference(j(A),j(j(A))),B),
% j(difference(j(A),j(j(A))))))) <->
% difference(A,difference(j(A),quotient(t(A,t(A,difference(B,difference(
% j(B),quotient(
% t(B,A),
% j(B)))))),
% j(A))))
% Current number of equations to process: 368
% Current number of ordered equations: 59
% Current number of rules: 984
% New rule produced :
% [1491]
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),V_3),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))))))))
% <->
% quotient(difference(difference(difference(j(A),j(j(A))),difference(j(A),
% quotient(t(A,C),
% j(A)))),difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,
% difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(V_3))))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))))
% Current number of equations to process: 368
% Current number of ordered equations: 58
% Current number of rules: 985
% New rule produced :
% [1492]
% quotient(difference(difference(difference(j(A),j(j(A))),difference(j(A),
% quotient(t(A,C),
% j(A)))),difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,
% difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(V_3))))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))))
% <->
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),V_3),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))))))))
% Current number of equations to process: 368
% Current number of ordered equations: 57
% Current number of rules: 986
% New rule produced :
% [1493]
% t(A,t(eta(B),difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))))) ->
% quotient(difference(j(A),quotient(eta(B),j(A))),A)
% Rule
% [715]
% t(A,t(eta(difference(j(A),j(j(A)))),difference(A,difference(j(A),quotient(
% t(A,
% eta(
% difference(
% j(A),
% j(j(A))))),
% j(A)))))) ->
% difference(A,j(j(difference(j(A),j(j(A)))))) collapsed.
% Current number of equations to process: 368
% Current number of ordered equations: 57
% Current number of rules: 986
% New rule produced :
% [1494]
% quotient(difference(j(A),quotient(eta(difference(j(A),j(j(A)))),j(A))),A) ->
% difference(A,j(j(difference(j(A),j(j(A))))))
% Current number of equations to process: 367
% Current number of ordered equations: 57
% Current number of rules: 987
% New rule produced :
% [1495]
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(B)))),A)),
% j(A)))) ->
% difference(A,difference(j(A),quotient(t(A,difference(j(B),j(j(B)))),j(A))))
% Current number of equations to process: 367
% Current number of ordered equations: 56
% Current number of rules: 988
% New rule produced :
% [1496]
% quotient(quotient(quotient(t(quotient(A,B),B),t(t(quotient(A,B),B),quotient(A,B))),
% j(t(t(quotient(A,B),B),quotient(A,B)))),j(t(t(quotient(A,B),B),
% quotient(A,B)))) ->
% t(j(t(t(quotient(A,B),B),quotient(A,B))),A)
% Current number of equations to process: 365
% Current number of ordered equations: 55
% Current number of rules: 989
% New rule produced :
% [1497]
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% quotient(difference(C,difference(j(C),quotient(t(C,difference(
% difference(
% j(A),j(j(A))),
% difference(
% j(A),quotient(
% t(A,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(A))))),
% j(C)))),difference(difference(
% j(A),
% j(j(A))),
% difference(j(A),
% quotient(t(A,B),
% j(A)))))),j(difference(
% difference(
% j(A),
% j(
% j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% <->
% difference(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))))))),
% difference(j(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))))))),
% quotient(t(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))))))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,V_3),
% j(A))))),
% j(difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A))))))))))))
% Current number of equations to process: 365
% Current number of ordered equations: 54
% Current number of rules: 990
% New rule produced :
% [1498]
% difference(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))))))),
% difference(j(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))))))),
% quotient(t(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))))))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,V_3),
% j(A))))),
% j(difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A))))))))))))
% <->
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% quotient(difference(C,difference(j(C),quotient(t(C,difference(
% difference(
% j(A),j(j(A))),
% difference(
% j(A),quotient(
% t(A,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(A))))),
% j(C)))),difference(difference(
% j(A),
% j(j(A))),
% difference(j(A),
% quotient(t(A,B),
% j(A)))))),j(difference(
% difference(
% j(A),
% j(
% j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% Current number of equations to process: 365
% Current number of ordered equations: 53
% Current number of rules: 991
% New rule produced :
% [1499]
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(C),
% j(j(C)))),
% j(B))))),
% j(A))))) ->
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,C),
% j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))))
% Current number of equations to process: 365
% Current number of ordered equations: 52
% Current number of rules: 992
% New rule produced :
% [1500]
% difference(difference(quotient(eta(A),j(eta(A))),t(eta(A),t(eta(A),difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% quotient(
% eta(A),
% j(
% eta(A)))),
% j(B))))))),
% difference(j(difference(quotient(eta(A),j(eta(A))),t(eta(A),t(eta(A),
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% quotient(
% eta(A),
% j(eta(A)))),
% j(B)))))))),
% quotient(t(difference(quotient(eta(A),j(eta(A))),t(eta(A),t(eta(A),difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% quotient(
% eta(A),
% j(
% eta(A)))),
% j(B))))))),
% difference(quotient(eta(A),j(eta(A))),t(eta(A),difference(j(eta(A)),
% quotient(C,j(eta(A))))))),
% j(difference(quotient(eta(A),j(eta(A))),t(eta(A),t(eta(A),difference(B,
% difference(
% j(B),quotient(
% t(B,quotient(
% eta(A),
% j(
% eta(A)))),
% j(B)))))))))))
% ->
% difference(quotient(eta(A),j(eta(A))),t(eta(A),difference(j(eta(A)),quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))),
% j(
% eta(A))))))
% Current number of equations to process: 363
% Current number of ordered equations: 53
% Current number of rules: 993
% New rule produced :
% [1501]
% difference(difference(quotient(eta(A),j(eta(A))),t(eta(A),difference(
% j(eta(A)),quotient(B,
% j(
% eta(A)))))),
% difference(j(difference(quotient(eta(A),j(eta(A))),t(eta(A),difference(
% j(eta(A)),
% quotient(B,
% j(eta(A))))))),
% quotient(t(difference(quotient(eta(A),j(eta(A))),t(eta(A),difference(
% j(eta(A)),quotient(B,
% j(
% eta(A)))))),
% difference(quotient(eta(A),j(eta(A))),t(eta(A),t(eta(A),difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% quotient(
% eta(A),
% j(eta(A)))),
% j(C)))))))),
% j(difference(quotient(eta(A),j(eta(A))),t(eta(A),difference(j(eta(A)),
% quotient(B,j(eta(A))))))))))
% ->
% difference(quotient(eta(A),j(eta(A))),t(eta(A),difference(j(eta(A)),quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))),
% j(
% eta(A))))))
% Current number of equations to process: 363
% Current number of ordered equations: 52
% Current number of rules: 994
% New rule produced :
% [1502]
% difference(quotient(quotient(difference(A,B),A),j(A)),difference(j(quotient(
% quotient(
% difference(A,B),A),
% j(A))),
% quotient(t(quotient(
% quotient(
% difference(A,B),A),
% j(A)),A),
% j(quotient(quotient(
% difference(A,B),A),
% j(A)))))) ->
% difference(A,difference(j(A),t(j(A),B)))
% Rule
% [1455]
% difference(quotient(quotient(difference(A,j(A)),A),j(A)),difference(j(
% quotient(
% quotient(
% difference(A,
% j(A)),A),
% j(A))),
% quotient(t(quotient(
% quotient(
% difference(A,
% j(A)),A),
% j(A)),A),
% j(quotient(quotient(
% difference(A,
% j(A)),A),
% j(A)))))) ->
% i(A) collapsed.
% Current number of equations to process: 363
% Current number of ordered equations: 51
% Current number of rules: 994
% New rule produced :
% [1503]
% difference(i(A),quotient(quotient(difference(j(eta(A)),eta(B)),j(eta(A))),
% eta(A))) ->
% quotient(difference(A,difference(j(A),quotient(t(A,t(eta(B),difference(A,
% quotient(
% quotient(
% eta(B),j(A)),
% j(j(A)))))),
% j(A)))),i(A))
% Current number of equations to process: 362
% Current number of ordered equations: 51
% Current number of rules: 995
% New rule produced :
% [1504]
% difference(difference(quotient(eta(A),j(eta(A))),quotient(quotient(eta(A),
% j(quotient(
% eta(A),j(eta(A))))),
% j(j(quotient(eta(A),
% j(eta(A))))))),eta(
% quotient(
% eta(A),
% j(
% eta(A)))))
% -> quotient(j(eta(A)),i(quotient(eta(A),j(eta(A)))))
% Current number of equations to process: 361
% Current number of ordered equations: 51
% Current number of rules: 996
% New rule produced :
% [1505]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% quotient(C,A)),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% ->
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))),A)),
% j(A))))
% Current number of equations to process: 360
% Current number of ordered equations: 49
% Current number of rules: 997
% New rule produced :
% [1506]
% difference(j(j(j(A))),quotient(quotient(difference(A,quotient(quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))),A),j(A))) <->
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,j(j(j(A)))),j(B)))),
% eta(A)),j(A))
% Current number of equations to process: 358
% Current number of ordered equations: 50
% Current number of rules: 998
% New rule produced :
% [1507]
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,j(j(j(A)))),j(B)))),
% eta(A)),j(A)) <->
% difference(j(j(j(A))),quotient(quotient(difference(A,quotient(quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))),A),j(A)))
% Current number of equations to process: 358
% Current number of ordered equations: 49
% Current number of rules: 999
% New rule produced :
% [1508]
% difference(A,difference(j(A),quotient(difference(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(A,difference(j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),
% j(A)))) <->
% quotient(difference(C,difference(j(C),quotient(t(C,difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))),B)
% Current number of equations to process: 356
% Current number of ordered equations: 47
% Current number of rules: 1000
% New rule produced :
% [1509]
% quotient(difference(C,difference(j(C),quotient(t(C,difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))),B) <->
% difference(A,difference(j(A),quotient(difference(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(A,difference(j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),
% j(A))))
% Current number of equations to process: 356
% Current number of ordered equations: 45
% Current number of rules: 1001
% New rule produced :
% [1510]
% difference(j(A),quotient(difference(quotient(quotient(difference(A,j(A)),A),
% j(A)),difference(j(quotient(quotient(
% difference(A,
% j(A)),A),
% j(A))),quotient(
% t(quotient(
% quotient(
% difference(A,
% j(A)),A),
% j(A)),x2),
% j(quotient(
% quotient(
% difference(A,
% j(A)),A),
% j(A)))))),
% quotient(difference(j(j(A)),difference(x2,difference(
% j(x2),quotient(
% t(x2,
% quotient(
% quotient(
% difference(A,
% j(A)),A),
% j(A))),
% j(x2))))),
% quotient(quotient(difference(A,j(A)),A),j(A))))) -> one
% Current number of equations to process: 355
% Current number of ordered equations: 45
% Current number of rules: 1002
% New rule produced :
% [1511]
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,A),j(B)))),
% j(j(A))),eta(A)) -> B
% Current number of equations to process: 350
% Current number of ordered equations: 45
% Current number of rules: 1003
% New rule produced :
% [1512]
% difference(A,quotient(difference(quotient(j(A),A),quotient(quotient(difference(A,
% j(
% j(B))),A),
% j(A))),j(j(A)))) <->
% quotient(quotient(difference(j(B),j(A)),j(B)),j(j(B)))
% Current number of equations to process: 346
% Current number of ordered equations: 46
% Current number of rules: 1004
% New rule produced :
% [1513]
% quotient(quotient(difference(j(B),j(A)),j(B)),j(j(B))) <->
% difference(A,quotient(difference(quotient(j(A),A),quotient(quotient(difference(A,
% j(
% j(B))),A),
% j(A))),j(j(A))))
% Current number of equations to process: 346
% Current number of ordered equations: 45
% Current number of rules: 1005
% New rule produced :
% [1514]
% t(eta(A),difference(difference(difference(j(B),j(j(B))),difference(eta(A),
% difference(eta(A),
% difference(j(eta(A)),
% quotient(difference(
% j(t(
% eta(A),B)),
% quotient(
% t(t(
% eta(A),B),C),
% j(t(
% eta(A),B)))),
% j(eta(A))))))),
% difference(j(difference(difference(j(B),j(j(B))),difference(
% eta(A),difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(
% difference(
% j(t(
% eta(A),B)),
% quotient(
% t(t(
% eta(A),B),C),
% j(t(
% eta(A),B)))),
% j(eta(A)))))))),
% quotient(t(difference(difference(j(B),j(j(B))),difference(eta(A),
% difference(eta(A),
% difference(j(eta(A)),
% quotient(difference(
% j(t(
% eta(A),B)),
% quotient(
% t(t(
% eta(A),B),C),
% j(t(
% eta(A),B)))),
% j(eta(A))))))),
% difference(difference(j(B),j(j(B))),difference(j(B),
% quotient(t(B,V_3),
% j(B))))),j(difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% eta(A),
% difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(
% difference(
% j(t(
% eta(A),B)),
% quotient(
% t(t(
% eta(A),B),C),
% j(t(
% eta(A),B)))),
% j(eta(A))))))))))))
% ->
% t(eta(A),difference(difference(j(B),j(j(B))),difference(eta(A),difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(
% difference(
% j(t(eta(A),B)),
% quotient(
% t(t(eta(A),B),
% difference(C,
% difference(
% j(C),quotient(
% t(C,
% t(
% eta(A),V_3)),
% j(C))))),
% j(t(eta(A),B)))),
% j(eta(A))))))))
% Current number of equations to process: 344
% Current number of ordered equations: 47
% Current number of rules: 1006
% New rule produced :
% [1515]
% t(eta(A),difference(difference(difference(j(B),j(j(B))),difference(j(B),
% quotient(t(B,C),
% j(B)))),difference(
% j(difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% quotient(
% t(difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))),
% difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% eta(A),
% difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(
% difference(
% j(t(eta(A),B)),
% quotient(
% t(t(eta(A),B),V_3),
% j(t(eta(A),B)))),
% j(eta(A)))))))),
% j(difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))))))))
% <->
% t(eta(A),difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,difference(C,
% difference(
% eta(A),
% difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(
% difference(
% j(t(
% eta(A),C)),
% quotient(
% t(t(
% eta(A),C),V_3),
% j(t(
% eta(A),C)))),
% j(eta(A)))))))),
% j(B)))))
% Current number of equations to process: 344
% Current number of ordered equations: 46
% Current number of rules: 1007
% New rule produced :
% [1516]
% t(eta(A),difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,difference(C,
% difference(
% eta(A),
% difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(
% difference(
% j(t(
% eta(A),C)),
% quotient(
% t(t(
% eta(A),C),V_3),
% j(t(
% eta(A),C)))),
% j(eta(A)))))))),
% j(B))))) <->
% t(eta(A),difference(difference(difference(j(B),j(j(B))),difference(j(B),
% quotient(t(B,C),
% j(B)))),difference(
% j(difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% quotient(
% t(difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))),
% difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% eta(A),
% difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(
% difference(
% j(t(eta(A),B)),
% quotient(
% t(t(eta(A),B),V_3),
% j(t(eta(A),B)))),
% j(eta(A)))))))),
% j(difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))))))))
% Current number of equations to process: 344
% Current number of ordered equations: 45
% Current number of rules: 1008
% New rule produced :
% [1517]
% quotient(quotient(difference(difference(difference(j(B),j(j(B))),difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B)))),
% difference(j(difference(difference(j(B),j(j(B))),difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B))))),
% quotient(t(difference(difference(j(B),j(j(B))),difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B)))),
% difference(A,difference(j(A),quotient(t(A,
% difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),j(difference(
% difference(
% j(B),
% j(
% j(B))),
% difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B)))))))),
% difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,C),j(B))))),A)
% <->
% difference(difference(A,difference(j(A),quotient(t(A,difference(difference(
% j(B),
% j(j(B))),
% difference(j(B),
% quotient(t(B,C),
% j(B))))),j(A)))),
% difference(A,difference(j(A),quotient(t(A,difference(difference(j(B),j(j(B))),
% difference(j(B),quotient(t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C))))),
% j(B))))),j(A)))))
% Current number of equations to process: 342
% Current number of ordered equations: 46
% Current number of rules: 1009
% New rule produced :
% [1518]
% difference(difference(A,difference(j(A),quotient(t(A,difference(difference(
% j(B),
% j(j(B))),
% difference(j(B),
% quotient(t(B,C),
% j(B))))),j(A)))),
% difference(A,difference(j(A),quotient(t(A,difference(difference(j(B),j(j(B))),
% difference(j(B),quotient(t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C))))),
% j(B))))),j(A)))))
% <->
% quotient(quotient(difference(difference(difference(j(B),j(j(B))),difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B)))),
% difference(j(difference(difference(j(B),j(j(B))),difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B))))),
% quotient(t(difference(difference(j(B),j(j(B))),difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B)))),
% difference(A,difference(j(A),quotient(t(A,
% difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),j(difference(
% difference(
% j(B),
% j(
% j(B))),
% difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B)))))))),
% difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,C),j(B))))),A)
% Current number of equations to process: 342
% Current number of ordered equations: 45
% Current number of rules: 1010
% New rule produced :
% [1519]
% t(A,quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)) <->
% difference(A,difference(difference(j(A),quotient(t(A,B),j(A))),difference(
% j(difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% quotient(
% t(difference(
% j(A),
% quotient(
% t(A,B),
% j(A))),
% quotient(C,A)),
% j(difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% Current number of equations to process: 340
% Current number of ordered equations: 46
% Current number of rules: 1011
% New rule produced :
% [1520]
% difference(A,difference(difference(j(A),quotient(t(A,B),j(A))),difference(
% j(difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% quotient(
% t(difference(
% j(A),
% quotient(
% t(A,B),
% j(A))),
% quotient(C,A)),
% j(difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% <->
% t(A,quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A))
% Current number of equations to process: 340
% Current number of ordered equations: 45
% Current number of rules: 1012
% New rule produced :
% [1521]
% quotient(difference(difference(j(A),j(j(A))),difference(j(difference(
% j(A),j(j(A)))),
% quotient(t(difference(j(A),
% j(j(A))),B),j(
% difference(
% j(A),
% j(
% j(A))))))),
% t(A,difference(B,difference(j(B),quotient(t(B,A),j(B)))))) -> A
% Current number of equations to process: 340
% Current number of ordered equations: 44
% Current number of rules: 1013
% New rule produced :
% [1522]
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(quotient(
% difference(
% j(eta(B)),
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(eta(B))),
% eta(B))),j(A)))),eta(A))
% -> difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A))))
% Current number of equations to process: 339
% Current number of ordered equations: 44
% Current number of rules: 1014
% New rule produced :
% [1523]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A))))) -> C
% Current number of equations to process: 339
% Current number of ordered equations: 43
% Current number of rules: 1015
% New rule produced :
% [1524]
% quotient(difference(j(eta(B)),quotient(quotient(difference(j(B),A),j(B)),
% j(j(B)))),A) <->
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,difference(A,
% difference(
% j(A),quotient(
% t(A,
% j(eta(B))),
% j(A))))),
% j(B)))),j(eta(B))),A)
% Current number of equations to process: 337
% Current number of ordered equations: 44
% Current number of rules: 1016
% New rule produced :
% [1525]
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,difference(A,
% difference(
% j(A),quotient(
% t(A,
% j(eta(B))),
% j(A))))),
% j(B)))),j(eta(B))),A) <->
% quotient(difference(j(eta(B)),quotient(quotient(difference(j(B),A),j(B)),
% j(j(B)))),A)
% Current number of equations to process: 337
% Current number of ordered equations: 43
% Current number of rules: 1017
% New rule produced :
% [1526]
% t(A,quotient(difference(C,difference(j(C),quotient(t(C,difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))),B)) <->
% quotient(difference(j(A),quotient(difference(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(A,difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),
% j(A))),A)
% Current number of equations to process: 337
% Current number of ordered equations: 42
% Current number of rules: 1018
% New rule produced :
% [1527]
% quotient(difference(j(A),quotient(difference(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(A,difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),
% j(A))),A) <->
% t(A,quotient(difference(C,difference(j(C),quotient(t(C,difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))),B))
% Current number of equations to process: 337
% Current number of ordered equations: 41
% Current number of rules: 1019
% New rule produced :
% [1528]
% difference(difference(B,difference(j(B),quotient(t(B,A),j(B)))),difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% j(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,A),
% j(B)))))),
% j(A))))),
% j(B))))) ->
% quotient(j(A),B)
% Current number of equations to process: 335
% Current number of ordered equations: 39
% Current number of rules: 1020
% New rule produced :
% [1529]
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,difference(
% j(A),quotient(
% j(eta(A)),
% j(A)))),
% j(B)))),j(j(A))),A) <->
% difference(difference(j(A),quotient(j(eta(A)),j(A))),difference(A,difference(
% j(A),
% quotient(
% t(A,
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A)))),
% j(A)))))
% Current number of equations to process: 332
% Current number of ordered equations: 40
% Current number of rules: 1021
% New rule produced :
% [1530]
% difference(difference(j(A),quotient(j(eta(A)),j(A))),difference(A,difference(
% j(A),
% quotient(
% t(A,
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A)))),
% j(A)))))
% <->
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,difference(
% j(A),quotient(
% j(eta(A)),
% j(A)))),
% j(B)))),j(j(A))),A)
% Current number of equations to process: 332
% Current number of ordered equations: 39
% Current number of rules: 1022
% New rule produced :
% [1531]
% t(eta(A),quotient(B,difference(eta(A),difference(C,quotient(quotient(
% difference(
% j(V_3),eta(A)),
% j(V_3)),j(j(V_3)))))))
% <->
% quotient(t(eta(A),B),difference(quotient(quotient(difference(j(eta(A)),C),
% j(eta(A))),eta(A)),difference(
% eta(A),difference(
% j(
% eta(A)),
% quotient(
% j(
% j(
% t(
% eta(A),V_3))),
% j(
% eta(A)))))))
% Current number of equations to process: 323
% Current number of ordered equations: 40
% Current number of rules: 1023
% New rule produced :
% [1532]
% quotient(t(eta(A),B),difference(quotient(quotient(difference(j(eta(A)),C),
% j(eta(A))),eta(A)),difference(
% eta(A),difference(
% j(
% eta(A)),
% quotient(
% j(
% j(
% t(
% eta(A),V_3))),
% j(
% eta(A)))))))
% <->
% t(eta(A),quotient(B,difference(eta(A),difference(C,quotient(quotient(
% difference(
% j(V_3),eta(A)),
% j(V_3)),j(j(V_3)))))))
% Current number of equations to process: 323
% Current number of ordered equations: 39
% Current number of rules: 1024
% New rule produced :
% [1533]
% t(eta(A),difference(B,difference(eta(A),difference(C,quotient(quotient(
% difference(
% j(V_3),
% eta(A)),
% j(V_3)),
% j(j(V_3))))))) <->
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% difference(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),C),
% j(
% eta(A))),
% eta(A)),
% difference(
% eta(A),
% difference(
% j(
% eta(A)),
% quotient(
% j(
% j(
% t(
% eta(A),V_3))),
% j(
% eta(A)))))),
% j(
% eta(A))))))))
% Current number of equations to process: 321
% Current number of ordered equations: 40
% Current number of rules: 1025
% New rule produced :
% [1534]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% difference(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),C),
% j(
% eta(A))),
% eta(A)),
% difference(
% eta(A),
% difference(
% j(
% eta(A)),
% quotient(
% j(
% j(
% t(
% eta(A),V_3))),
% j(
% eta(A)))))),
% j(
% eta(A))))))))
% <->
% t(eta(A),difference(B,difference(eta(A),difference(C,quotient(quotient(
% difference(
% j(V_3),
% eta(A)),
% j(V_3)),
% j(j(V_3)))))))
% Current number of equations to process: 321
% Current number of ordered equations: 39
% Current number of rules: 1026
% New rule produced :
% [1535]
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A)))) <->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% Rule
% [1122]
% quotient(difference(A,difference(B,difference(j(B),quotient(t(B,quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B)),
% j(B))))),quotient(
% difference(C,
% difference(
% j(C),quotient(
% t(C,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B))
% <->
% quotient(difference(A,difference(difference(B,difference(j(B),quotient(
% t(B,C),
% j(B)))),
% difference(j(difference(B,difference(j(B),quotient(
% t(B,C),
% j(B))))),
% quotient(t(difference(B,difference(j(B),quotient(
% t(B,C),
% j(B)))),V_3),
% j(difference(B,difference(j(B),quotient(t(B,C),j(B))))))))),
% quotient(difference(C,difference(j(C),quotient(t(C,difference(V_3,difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B)) collapsed.
% Current number of equations to process: 317
% Current number of ordered equations: 38
% Current number of rules: 1026
% New rule produced :
% [1536]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% <->
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A))))
% Rule
% [1123]
% quotient(difference(A,difference(difference(B,difference(j(B),quotient(
% t(B,C),
% j(B)))),
% difference(j(difference(B,difference(j(B),quotient(
% t(B,C),
% j(B))))),
% quotient(t(difference(B,difference(j(B),quotient(
% t(B,C),
% j(B)))),V_3),
% j(difference(B,difference(j(B),quotient(t(B,C),j(B))))))))),
% quotient(difference(C,difference(j(C),quotient(t(C,difference(V_3,difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B)) <->
% quotient(difference(A,difference(B,difference(j(B),quotient(t(B,quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B)),
% j(B))))),quotient(
% difference(C,
% difference(
% j(C),quotient(
% t(C,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(C)))),B))
% collapsed.
% Current number of equations to process: 317
% Current number of ordered equations: 37
% Current number of rules: 1026
% New rule produced :
% [1537]
% t(eta(A),difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,eta(A)),
% j(C))))),
% j(B))))) <->
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% difference(
% j(
% t(
% eta(A),B)),
% quotient(
% t(
% t(
% eta(A),B),
% quotient(
% quotient(
% difference(
% j(
% eta(A)),C),
% j(
% eta(A))),
% eta(A))),
% j(
% t(
% eta(A),B)))),
% j(
% eta(A))))))))
% Current number of equations to process: 316
% Current number of ordered equations: 38
% Current number of rules: 1027
% New rule produced :
% [1538]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% difference(
% j(
% t(
% eta(A),B)),
% quotient(
% t(
% t(
% eta(A),B),
% quotient(
% quotient(
% difference(
% j(
% eta(A)),C),
% j(
% eta(A))),
% eta(A))),
% j(
% t(
% eta(A),B)))),
% j(
% eta(A))))))))
% <->
% t(eta(A),difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,eta(A)),
% j(C))))),
% j(B)))))
% Current number of equations to process: 316
% Current number of ordered equations: 37
% Current number of rules: 1028
% New rule produced :
% [1539]
% difference(quotient(quotient(difference(B,j(A)),B),j(B)),difference(j(
% quotient(
% quotient(
% difference(B,
% j(A)),B),
% j(B))),
% quotient(t(quotient(
% quotient(
% difference(B,
% j(A)),B),
% j(B)),A),
% j(quotient(quotient(
% difference(B,
% j(A)),B),
% j(B)))))) ->
% difference(A,difference(j(A),j(B)))
% Current number of equations to process: 316
% Current number of ordered equations: 36
% Current number of rules: 1029
% New rule produced :
% [1540]
% difference(difference(A,j(j(j(A)))),difference(j(difference(A,j(j(j(A))))),
% quotient(t(difference(A,j(j(j(A)))),A),
% j(difference(A,j(j(j(A)))))))) ->
% difference(A,j(eta(A)))
% Current number of equations to process: 315
% Current number of ordered equations: 36
% Current number of rules: 1030
% New rule produced :
% [1541]
% t(eta(A),difference(difference(difference(j(B),j(j(B))),difference(eta(A),
% difference(eta(A),
% difference(j(eta(A)),
% quotient(difference(
% j(t(
% eta(A),B)),
% quotient(
% t(t(
% eta(A),B),C),
% j(t(
% eta(A),B)))),
% j(eta(A))))))),
% difference(j(difference(difference(j(B),j(j(B))),difference(
% eta(A),difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(
% difference(
% j(t(
% eta(A),B)),
% quotient(
% t(t(
% eta(A),B),C),
% j(t(
% eta(A),B)))),
% j(eta(A)))))))),
% quotient(t(difference(difference(j(B),j(j(B))),difference(eta(A),
% difference(eta(A),
% difference(j(eta(A)),
% quotient(difference(
% j(t(
% eta(A),B)),
% quotient(
% t(t(
% eta(A),B),C),
% j(t(
% eta(A),B)))),
% j(eta(A))))))),
% difference(difference(j(B),j(j(B))),difference(eta(A),
% difference(eta(A),
% difference(j(eta(A)),
% quotient(difference(
% j(t(eta(A),B)),
% quotient(
% t(t(eta(A),B),V_3),
% j(t(eta(A),B)))),
% j(eta(A)))))))),
% j(difference(difference(j(B),j(j(B))),difference(eta(A),difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(
% difference(
% j(t(
% eta(A),B)),
% quotient(
% t(t(
% eta(A),B),C),
% j(t(
% eta(A),B)))),
% j(eta(A))))))))))))
% ->
% t(eta(A),difference(difference(j(B),j(j(B))),difference(eta(A),difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(
% difference(
% j(t(eta(A),B)),
% quotient(
% t(t(eta(A),B),
% difference(C,
% difference(
% j(C),quotient(
% t(C,V_3),
% j(C))))),
% j(t(eta(A),B)))),
% j(eta(A))))))))
% Current number of equations to process: 312
% Current number of ordered equations: 36
% Current number of rules: 1031
% New rule produced :
% [1542]
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(difference(difference(j(A),j(j(A))),difference(j(A),
% quotient(t(A,C),
% j(A)))),difference(
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))),
% quotient(
% t(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),
% eta(difference(
% difference(
% j(A),
% j(
% j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))))))),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))))))))
% ->
% eta(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))))
% Current number of equations to process: 311
% Current number of ordered equations: 36
% Current number of rules: 1032
% New rule produced :
% [1543]
% quotient(quotient(quotient(quotient(difference(j(eta(A)),difference(B,
% difference(j(B),
% quotient(t(B,C),
% j(B))))),j(eta(A))),
% eta(A)),C),B) <->
% quotient(quotient(t(eta(A),difference(B,difference(j(B),quotient(t(B,
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% t(eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B)))))),
% j(C)))),B)),
% j(B))))),C),B)
% Current number of equations to process: 309
% Current number of ordered equations: 37
% Current number of rules: 1033
% New rule produced :
% [1544]
% quotient(quotient(t(eta(A),difference(B,difference(j(B),quotient(t(B,
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% t(eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B)))))),
% j(C)))),B)),
% j(B))))),C),B) <->
% quotient(quotient(quotient(quotient(difference(j(eta(A)),difference(B,
% difference(j(B),
% quotient(t(B,C),
% j(B))))),j(eta(A))),
% eta(A)),C),B)
% Current number of equations to process: 309
% Current number of ordered equations: 36
% Current number of rules: 1034
% New rule produced :
% [1545]
% difference(difference(C,difference(j(C),quotient(t(C,B),j(C)))),difference(C,
% difference(
% j(C),
% quotient(
% t(C,difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% quotient(A,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,B),
% j(C)))))),
% j(B))))),
% j(C))))) ->
% quotient(quotient(A,B),C)
% Current number of equations to process: 309
% Current number of ordered equations: 35
% Current number of rules: 1035
% New rule produced :
% [1546]
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% quotient(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),
% difference(V_3,difference(j(V_3),quotient(
% t(V_3,difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(V_3))))),
% j(difference(difference(j(A),j(j(A))),difference(j(A),
% quotient(t(A,C),
% j(A)))))))),difference(
% difference(
% j(A),
% j(
% j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A))))))))
% <->
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),V_3),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))))))
% Current number of equations to process: 307
% Current number of ordered equations: 36
% Current number of rules: 1036
% New rule produced :
% [1547]
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),V_3),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))))))) <->
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% quotient(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),
% difference(V_3,difference(j(V_3),quotient(
% t(V_3,difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(V_3))))),
% j(difference(difference(j(A),j(j(A))),difference(j(A),
% quotient(t(A,C),
% j(A)))))))),difference(
% difference(
% j(A),
% j(
% j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A))))))))
% Rule
% [1463]
% quotient(difference(difference(difference(j(A),j(j(A))),difference(j(A),
% quotient(t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),difference(
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),
% quotient(
% t(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),B),
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))))))),
% quotient(difference(eta(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% difference(B,difference(j(B),quotient(t(B,difference(difference(
% j(A),j(j(A))),
% difference(j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),
% j(B))))),difference(difference(
% j(A),j(j(A))),
% difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))))) ->
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(difference(difference(j(A),j(j(A))),difference(j(A),
% quotient(t(A,C),
% j(A)))),difference(
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))),
% quotient(
% t(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),
% eta(difference(
% difference(
% j(A),
% j(
% j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))))))),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A))))))))
% collapsed.
% Current number of equations to process: 308
% Current number of ordered equations: 35
% Current number of rules: 1036
% New rule produced :
% [1548]
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(
% j(difference(A,B)),
% quotient(A,
% j(difference(A,B))))),
% j(C)))),B),difference(A,B))
% <->
% difference(difference(j(difference(A,B)),quotient(A,j(difference(A,B)))),
% difference(difference(A,B),difference(j(difference(A,B)),quotient(t(difference(A,B),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(difference(A,B))))))
% Current number of equations to process: 308
% Current number of ordered equations: 33
% Current number of rules: 1037
% New rule produced :
% [1549]
% difference(difference(j(difference(A,B)),quotient(A,j(difference(A,B)))),
% difference(difference(A,B),difference(j(difference(A,B)),quotient(t(difference(A,B),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(difference(A,B))))))
% <->
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(
% j(difference(A,B)),
% quotient(A,
% j(difference(A,B))))),
% j(C)))),B),difference(A,B))
% Current number of equations to process: 308
% Current number of ordered equations: 31
% Current number of rules: 1038
% New rule produced :
% [1550]
% difference(difference(A,difference(j(A),quotient(t(A,quotient(B,C)),j(A)))),
% difference(A,difference(j(A),quotient(t(A,difference(j(quotient(B,C)),
% quotient(t(quotient(B,C),C),
% j(quotient(B,C))))),j(A))))) ->
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,difference(A,
% difference(
% j(A),quotient(
% t(A,
% quotient(B,C)),
% j(A))))),
% j(B)))),quotient(B,C)),A)
% Current number of equations to process: 308
% Current number of ordered equations: 30
% Current number of rules: 1039
% New rule produced :
% [1551]
% t(eta(A),difference(B,difference(j(B),quotient(t(B,quotient(difference(C,
% difference(
% j(C),quotient(
% t(C,
% quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))),
% j(C)))),B)),
% j(B))))) <->
% quotient(quotient(difference(j(eta(A)),difference(B,difference(j(B),quotient(
% t(B,C),
% j(B))))),
% j(eta(A))),eta(A))
% Current number of equations to process: 302
% Current number of ordered equations: 31
% Current number of rules: 1040
% New rule produced :
% [1552]
% quotient(quotient(difference(j(eta(A)),difference(B,difference(j(B),quotient(
% t(B,C),
% j(B))))),
% j(eta(A))),eta(A)) <->
% t(eta(A),difference(B,difference(j(B),quotient(t(B,quotient(difference(C,
% difference(
% j(C),quotient(
% t(C,
% quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))),
% j(C)))),B)),
% j(B)))))
% Current number of equations to process: 302
% Current number of ordered equations: 30
% Current number of rules: 1041
% New rule produced :
% [1553]
% t(A,quotient(quotient(difference(j(eta(B)),difference(B,difference(j(B),
% quotient(t(B,A),
% j(B))))),j(eta(B))),
% eta(B))) <-> quotient(difference(j(A),quotient(i(i(B)),j(A))),A)
% Current number of equations to process: 300
% Current number of ordered equations: 31
% Current number of rules: 1042
% New rule produced :
% [1554]
% quotient(difference(j(A),quotient(i(i(B)),j(A))),A) <->
% t(A,quotient(quotient(difference(j(eta(B)),difference(B,difference(j(B),
% quotient(t(B,A),
% j(B))))),j(eta(B))),
% eta(B)))
% Current number of equations to process: 300
% Current number of ordered equations: 30
% Current number of rules: 1043
% New rule produced :
% [1555]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% t(A,C)),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% ->
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))),
% j(B)))),A)),
% j(A))))
% Current number of equations to process: 300
% Current number of ordered equations: 29
% Current number of rules: 1044
% Rule [1533]
% t(eta(A),difference(B,difference(eta(A),difference(C,quotient(quotient(
% difference(
% j(V_3),
% eta(A)),
% j(V_3)),
% j(j(V_3))))))) <->
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),
% quotient(
% difference(
% quotient(
% quotient(
% difference(
% j(eta(A)),C),
% j(eta(A))),
% eta(A)),
% difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(
% j(j(t(
% eta(A),V_3))),
% j(eta(A)))))),
% j(eta(A)))))))) is composed into
% [1533]
% t(eta(A),difference(B,difference(eta(A),difference(C,quotient(quotient(
% difference(
% j(V_3),
% eta(A)),
% j(V_3)),
% j(j(V_3))))))) <->
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% difference(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),C),
% j(
% eta(A))),
% eta(A)),
% quotient(
% quotient(
% difference(
% j(
% eta(A)),
% j(
% j(V_3))),
% j(
% eta(A))),
% eta(A))),
% j(
% eta(A))))))))
% Rule [1531]
% t(eta(A),quotient(B,difference(eta(A),difference(C,quotient(quotient(
% difference(
% j(V_3),
% eta(A)),
% j(V_3)),
% j(j(V_3))))))) <->
% quotient(t(eta(A),B),difference(quotient(quotient(difference(j(eta(A)),C),
% j(eta(A))),eta(A)),difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(
% j(j(
% t(
% eta(A),V_3))),
% j(eta(A))))))) is composed into
% [1531]
% t(eta(A),quotient(B,difference(eta(A),difference(C,quotient(quotient(
% difference(
% j(V_3),eta(A)),
% j(V_3)),j(j(V_3)))))))
% <->
% quotient(t(eta(A),B),difference(quotient(quotient(difference(j(eta(A)),C),
% j(eta(A))),eta(A)),quotient(
% quotient(
% difference(
% j(eta(A)),
% j(j(V_3))),
% j(eta(A))),
% eta(A))))
% Rule [1414]
% quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))) <->
% difference(eta(A),difference(eta(A),difference(j(eta(A)),quotient(
% difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(
% j(j(t(eta(A),B))),
% j(eta(A))))),
% j(eta(A)))))) is composed into
% [1414]
% quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))) <->
% difference(eta(A),difference(eta(A),difference(j(eta(A)),quotient(quotient(
% quotient(
% difference(
% j(eta(A)),
% j(j(B))),
% j(eta(A))),
% eta(A)),
% j(eta(A))))))
% Rule [1405]
% quotient(quotient(quotient(difference(A,quotient(quotient(difference(
% j(B),A),
% j(B)),j(j(B)))),A),
% j(A)),A) <->
% difference(A,difference(eta(A),difference(j(eta(A)),quotient(j(j(
% t(
% eta(A),B))),
% j(eta(A)))))) is composed into
% [1405]
% quotient(quotient(quotient(difference(A,quotient(quotient(difference(j(B),A),
% j(B)),j(j(B)))),A),j(A)),A)
% <->
% difference(A,quotient(quotient(difference(j(eta(A)),j(j(B))),j(eta(A))),
% eta(A)))
% Rule [1338]
% t(eta(A),difference(quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))),difference(eta(A),C))) <->
% difference(difference(eta(A),difference(j(eta(A)),quotient(j(j(t(
% eta(A),B))),
% j(eta(A))))),quotient(C,
% eta(A))) is composed into
% [1338]
% t(eta(A),difference(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% difference(eta(A),C))) <->
% difference(quotient(quotient(difference(j(eta(A)),j(j(B))),j(eta(A))),eta(A)),
% quotient(C,eta(A)))
% Rule [1336]
% t(eta(A),quotient(quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))),difference(eta(A),C))) <->
% quotient(difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),B))),
% j(eta(A))))),quotient(C,
% eta(A))) is composed into
% [1336]
% t(eta(A),quotient(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% difference(eta(A),C))) <->
% quotient(quotient(quotient(difference(j(eta(A)),j(j(B))),j(eta(A))),eta(A)),
% quotient(C,eta(A)))
% Rule [1318]
% t(eta(A),t(B,quotient(quotient(difference(j(C),eta(A)),j(C)),j(j(C)))))
% <->
% t(t(eta(A),B),difference(eta(A),difference(j(eta(A)),quotient(j(
% j(
% t(
% eta(A),C))),
% j(eta(A)))))) is composed into
% [1318]
% t(eta(A),t(B,quotient(quotient(difference(j(C),eta(A)),j(C)),j(j(C))))) <->
% t(t(eta(A),B),quotient(quotient(difference(j(eta(A)),j(j(C))),j(eta(A))),
% eta(A)))
% Rule [1317]
% t(eta(A),t(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),C))
% <->
% t(difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),B))),
% j(eta(A))))),t(eta(A),C)) is composed into
% [1317]
% t(eta(A),t(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),C)) <->
% t(quotient(quotient(difference(j(eta(A)),j(j(B))),j(eta(A))),eta(A)),
% t(eta(A),C))
% Rule [1315]
% t(eta(A),difference(j(eta(A)),quotient(quotient(difference(j(B),eta(A)),
% j(B)),j(j(B))))) <->
% difference(j(eta(A)),difference(eta(A),difference(j(eta(A)),quotient(
% j(j(
% t(
% eta(A),B))),
% j(eta(A)))))) is composed into
% [1315]
% t(eta(A),difference(j(eta(A)),quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))))) <->
% difference(j(eta(A)),quotient(quotient(difference(j(eta(A)),j(j(B))),
% j(eta(A))),eta(A)))
% Rule [1313]
% t(eta(A),quotient(j(eta(A)),quotient(quotient(difference(j(B),eta(A)),
% j(B)),j(j(B))))) <->
% quotient(j(eta(A)),difference(eta(A),difference(j(eta(A)),quotient(
% j(j(t(
% eta(A),B))),
% j(eta(A)))))) is composed into
% [1313]
% t(eta(A),quotient(j(eta(A)),quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))))) <->
% quotient(j(eta(A)),quotient(quotient(difference(j(eta(A)),j(j(B))),j(eta(A))),
% eta(A)))
% Rule [1311]
% t(eta(A),quotient(quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))),j(eta(A)))) <->
% quotient(difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),B))),
% j(eta(A))))),j(eta(A))) is composed into
% [1311]
% t(eta(A),quotient(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% j(eta(A)))) <->
% quotient(quotient(quotient(difference(j(eta(A)),j(j(B))),j(eta(A))),eta(A)),
% j(eta(A)))
% Rule [1308]
% t(eta(A),quotient(B,quotient(quotient(difference(j(C),eta(A)),j(C)),
% j(j(C))))) <->
% quotient(t(eta(A),B),difference(eta(A),difference(j(eta(A)),quotient(
% j(j(
% t(
% eta(A),C))),
% j(eta(A)))))) is composed into
% [1308]
% t(eta(A),quotient(B,quotient(quotient(difference(j(C),eta(A)),j(C)),j(j(C)))))
% <->
% quotient(t(eta(A),B),quotient(quotient(difference(j(eta(A)),j(j(C))),
% j(eta(A))),eta(A)))
% Rule [1307]
% t(eta(A),quotient(quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))),C)) <->
% quotient(difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),B))),
% j(eta(A))))),t(eta(A),C)) is composed into
% [1307]
% t(eta(A),quotient(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),C))
% <->
% quotient(quotient(quotient(difference(j(eta(A)),j(j(B))),j(eta(A))),eta(A)),
% t(eta(A),C))
% Rule [1304]
% t(eta(A),difference(B,quotient(quotient(difference(j(C),eta(A)),j(C)),
% j(j(C))))) <->
% difference(t(eta(A),B),difference(eta(A),difference(j(eta(A)),quotient(
% j(
% j(
% t(
% eta(A),C))),
% j(
% eta(A)))))) is composed into
% [1304]
% t(eta(A),difference(B,quotient(quotient(difference(j(C),eta(A)),j(C)),
% j(j(C))))) <->
% difference(t(eta(A),B),quotient(quotient(difference(j(eta(A)),j(j(C))),
% j(eta(A))),eta(A)))
% Rule [1303]
% t(eta(A),difference(quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))),C)) <->
% difference(difference(eta(A),difference(j(eta(A)),quotient(j(j(t(
% eta(A),B))),
% j(eta(A))))),t(
% eta(A),C)) is composed into
% [1303]
% t(eta(A),difference(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),C))
% <->
% difference(quotient(quotient(difference(j(eta(A)),j(j(B))),j(eta(A))),eta(A)),
% t(eta(A),C))
% Rule [1276]
% t(eta(A),quotient(eta(A),quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))))) <->
% quotient(eta(A),difference(eta(A),difference(j(eta(A)),quotient(
% j(j(t(eta(A),B))),
% j(eta(A)))))) is composed into
% [1276]
% t(eta(A),quotient(eta(A),quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))))) <->
% quotient(eta(A),quotient(quotient(difference(j(eta(A)),j(j(B))),j(eta(A))),
% eta(A)))
% Rule [1180]
% t(eta(A),quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B)))) <->
% difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),B))),
% j(eta(A))))) is composed into
% [1180]
% t(eta(A),quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B)))) <->
% quotient(quotient(difference(j(eta(A)),j(j(B))),j(eta(A))),eta(A))
% Rule [719]
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(quotient(
% difference(
% j(B),
% i(A)),
% j(B)),
% j(j(B)))),j(A)))),
% i(A)) <->
% difference(i(A),difference(eta(A),difference(j(eta(A)),quotient(
% j(j(t(eta(A),B))),
% j(eta(A)))))) is composed into
% [719]
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(quotient(
% difference(
% j(B),i(A)),
% j(B)),j(j(B)))),
% j(A)))),i(A)) <->
% difference(i(A),quotient(quotient(difference(j(eta(A)),j(j(B))),j(eta(A))),
% eta(A)))
% New rule produced :
% [1556]
% difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),B))),j(eta(A)))))
% -> quotient(quotient(difference(j(eta(A)),j(j(B))),j(eta(A))),eta(A))
% Rule
% [720]
% difference(i(A),difference(eta(A),difference(j(eta(A)),quotient(j(j(t(
% eta(A),B))),
% j(eta(A)))))) <->
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(quotient(
% difference(
% j(B),i(A)),
% j(B)),j(j(B)))),
% j(A)))),i(A)) collapsed.
% Rule
% [1089]
% difference(eta(A),difference(eta(A),difference(j(eta(A)),quotient(j(j(
% t(
% eta(A),B))),
% j(eta(A)))))) ->
% j(j(B)) collapsed.
% Rule
% [1181]
% difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),B))),j(eta(A)))))
% <-> t(eta(A),quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))))
% collapsed.
% Rule
% [1277]
% quotient(eta(A),difference(eta(A),difference(j(eta(A)),quotient(j(j(t(
% eta(A),B))),
% j(eta(A)))))) <->
% t(eta(A),quotient(eta(A),quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))))) collapsed.
% Rule
% [1305]
% difference(t(eta(A),B),difference(eta(A),difference(j(eta(A)),quotient(
% j(j(t(eta(A),C))),
% j(eta(A))))))
% <->
% t(eta(A),difference(B,quotient(quotient(difference(j(C),eta(A)),j(C)),
% j(j(C))))) collapsed.
% Rule
% [1306]
% difference(difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),B))),
% j(eta(A))))),t(eta(A),C))
% <->
% t(eta(A),difference(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),C))
% collapsed.
% Rule
% [1309]
% quotient(t(eta(A),B),difference(eta(A),difference(j(eta(A)),quotient(
% j(j(t(eta(A),C))),
% j(eta(A)))))) <->
% t(eta(A),quotient(B,quotient(quotient(difference(j(C),eta(A)),j(C)),j(j(C)))))
% collapsed.
% Rule
% [1310]
% quotient(difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),B))),
% j(eta(A))))),t(eta(A),C)) <->
% t(eta(A),quotient(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),C))
% collapsed.
% Rule
% [1312]
% quotient(difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),B))),
% j(eta(A))))),j(eta(A))) <->
% t(eta(A),quotient(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% j(eta(A)))) collapsed.
% Rule
% [1314]
% quotient(j(eta(A)),difference(eta(A),difference(j(eta(A)),quotient(j(
% j(
% t(
% eta(A),B))),
% j(eta(A)))))) <->
% t(eta(A),quotient(j(eta(A)),quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))))) collapsed.
% Rule
% [1316]
% difference(j(eta(A)),difference(eta(A),difference(j(eta(A)),quotient(
% j(j(t(eta(A),B))),
% j(eta(A)))))) <->
% t(eta(A),difference(j(eta(A)),quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))))) collapsed.
% Rule
% [1319]
% t(t(eta(A),B),difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),C))),
% j(eta(A)))))) <->
% t(eta(A),t(B,quotient(quotient(difference(j(C),eta(A)),j(C)),j(j(C)))))
% collapsed.
% Rule
% [1320]
% t(difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),B))),j(eta(A))))),
% t(eta(A),C)) <->
% t(eta(A),t(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),C))
% collapsed.
% Rule
% [1337]
% quotient(difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),B))),
% j(eta(A))))),quotient(C,
% eta(A))) <->
% t(eta(A),quotient(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% difference(eta(A),C))) collapsed.
% Rule
% [1339]
% difference(difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),B))),
% j(eta(A))))),quotient(C,
% eta(A))) <->
% t(eta(A),difference(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% difference(eta(A),C))) collapsed.
% Rule
% [1404]
% difference(A,difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),B))),
% j(eta(A)))))) <->
% quotient(quotient(quotient(difference(A,quotient(quotient(difference(j(B),A),
% j(B)),j(j(B)))),A),j(A)),A)
% collapsed.
% Rule
% [1413]
% difference(eta(A),difference(eta(A),difference(j(eta(A)),quotient(difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(
% j(j(
% t(
% eta(A),B))),
% j(eta(A))))),
% j(eta(A)))))) <->
% quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))) collapsed.
% Rule
% [1484]
% quotient(difference(eta(A),difference(j(eta(A)),quotient(difference(eta(A),
% difference(j(eta(A)),
% quotient(j(j(
% t(
% eta(A),B))),
% j(eta(A))))),
% j(eta(A))))),quotient(
% quotient(
% difference(
% j(B),eta(A)),
% j(B)),j(j(B))))
% -> eta(A) collapsed.
% Rule
% [1532]
% quotient(t(eta(A),B),difference(quotient(quotient(difference(j(eta(A)),C),
% j(eta(A))),eta(A)),difference(
% eta(A),difference(
% j(
% eta(A)),
% quotient(
% j(
% j(
% t(
% eta(A),V_3))),
% j(
% eta(A)))))))
% <->
% t(eta(A),quotient(B,difference(eta(A),difference(C,quotient(quotient(
% difference(
% j(V_3),eta(A)),
% j(V_3)),j(j(V_3)))))))
% collapsed.
% Rule
% [1534]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% difference(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),C),
% j(
% eta(A))),
% eta(A)),
% difference(
% eta(A),
% difference(
% j(
% eta(A)),
% quotient(
% j(
% j(
% t(
% eta(A),V_3))),
% j(
% eta(A)))))),
% j(
% eta(A))))))))
% <->
% t(eta(A),difference(B,difference(eta(A),difference(C,quotient(quotient(
% difference(
% j(V_3),
% eta(A)),
% j(V_3)),
% j(j(V_3)))))))
% collapsed.
% Current number of equations to process: 317
% Current number of ordered equations: 29
% Current number of rules: 1025
% New rule produced :
% [1557]
% t(eta(A),difference(B,quotient(quotient(difference(j(C),eta(A)),j(C)),
% j(j(C))))) <->
% t(eta(A),difference(B,difference(eta(A),quotient(difference(j(eta(A)),
% j(j(C))),j(eta(A))))))
% Current number of equations to process: 314
% Current number of ordered equations: 30
% Current number of rules: 1026
% New rule produced :
% [1558]
% t(eta(A),difference(B,difference(eta(A),quotient(difference(j(eta(A)),
% j(j(C))),j(eta(A)))))) <->
% t(eta(A),difference(B,quotient(quotient(difference(j(C),eta(A)),j(C)),
% j(j(C)))))
% Current number of equations to process: 314
% Current number of ordered equations: 29
% Current number of rules: 1027
% New rule produced :
% [1559]
% difference(eta(A),quotient(difference(j(eta(A)),j(j(B))),j(eta(A)))) <->
% quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B)))
% Rule
% [1558]
% t(eta(A),difference(B,difference(eta(A),quotient(difference(j(eta(A)),
% j(j(C))),j(eta(A)))))) <->
% t(eta(A),difference(B,quotient(quotient(difference(j(C),eta(A)),j(C)),
% j(j(C))))) collapsed.
% Current number of equations to process: 302
% Current number of ordered equations: 30
% Current number of rules: 1027
% New rule produced :
% [1560]
% quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))) <->
% difference(eta(A),quotient(difference(j(eta(A)),j(j(B))),j(eta(A))))
% Rule
% [1557]
% t(eta(A),difference(B,quotient(quotient(difference(j(C),eta(A)),j(C)),
% j(j(C))))) <->
% t(eta(A),difference(B,difference(eta(A),quotient(difference(j(eta(A)),
% j(j(C))),j(eta(A))))))
% collapsed.
% Current number of equations to process: 302
% Current number of ordered equations: 29
% Current number of rules: 1027
% New rule produced :
% [1561]
% quotient(quotient(difference(j(eta(A)),j(j(B))),j(eta(A))),quotient(quotient(
% difference(
% j(B),
% eta(A)),
% j(B)),
% j(j(B)))) ->
% eta(A)
% Current number of equations to process: 301
% Current number of ordered equations: 29
% Current number of rules: 1028
% New rule produced :
% [1562]
% difference(quotient(quotient(difference(j(eta(B)),C),j(eta(B))),eta(B)),
% quotient(quotient(difference(j(eta(B)),difference(C,difference(j(C),quotient(
% t(C,A),
% j(C))))),
% j(eta(B))),eta(B))) <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,quotient(
% quotient(
% difference(
% j(eta(B)),C),
% j(eta(B))),
% eta(B))),
% j(A)))),C),eta(B))
% Current number of equations to process: 298
% Current number of ordered equations: 30
% Current number of rules: 1029
% New rule produced :
% [1563]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,quotient(
% quotient(
% difference(
% j(eta(B)),C),
% j(eta(B))),
% eta(B))),
% j(A)))),C),eta(B)) <->
% difference(quotient(quotient(difference(j(eta(B)),C),j(eta(B))),eta(B)),
% quotient(quotient(difference(j(eta(B)),difference(C,difference(j(C),quotient(
% t(C,A),
% j(C))))),
% j(eta(B))),eta(B)))
% Current number of equations to process: 298
% Current number of ordered equations: 29
% Current number of rules: 1030
% New rule produced :
% [1564]
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),quotient(
% t(A,
% eta(B)),
% j(A))))),
% j(C)))),eta(B)),A) <->
% difference(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(difference(
% j(eta(B)),C),
% j(eta(B))),eta(B))),
% j(A)))))
% Current number of equations to process: 294
% Current number of ordered equations: 30
% Current number of rules: 1031
% New rule produced :
% [1565]
% difference(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(difference(
% j(eta(B)),C),
% j(eta(B))),eta(B))),
% j(A))))) <->
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),quotient(
% t(A,
% eta(B)),
% j(A))))),
% j(C)))),eta(B)),A)
% Current number of equations to process: 294
% Current number of ordered equations: 29
% Current number of rules: 1032
% New rule produced :
% [1566]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% j(
% eta(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))),
% j(B))))),
% j(A))))) ->
% quotient(quotient(j(j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))),B),A)
% Current number of equations to process: 294
% Current number of ordered equations: 27
% Current number of rules: 1033
% New rule produced :
% [1567]
% difference(B,quotient(quotient(difference(j(C),j(A)),j(C)),j(j(C)))) <->
% difference(i(A),difference(A,quotient(difference(quotient(quotient(difference(A,B),A),
% j(A)),quotient(quotient(
% difference(A,
% j(j(C))),A),
% j(A))),j(j(A)))))
% Current number of equations to process: 292
% Current number of ordered equations: 28
% Current number of rules: 1034
% New rule produced :
% [1568]
% difference(i(A),difference(A,quotient(difference(quotient(quotient(difference(A,B),A),
% j(A)),quotient(quotient(
% difference(A,
% j(j(C))),A),
% j(A))),j(j(A))))) <->
% difference(B,quotient(quotient(difference(j(C),j(A)),j(C)),j(j(C))))
% Current number of equations to process: 292
% Current number of ordered equations: 27
% Current number of rules: 1035
% New rule produced :
% [1569]
% difference(A,eta(difference(A,difference(j(A),quotient(t(A,B),j(A)))))) <->
% quotient(difference(B,difference(j(B),quotient(t(B,quotient(quotient(
% quotient(
% difference(B,A),A),
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))),
% j(B)))),A)
% Current number of equations to process: 291
% Current number of ordered equations: 28
% Current number of rules: 1036
% New rule produced :
% [1570]
% quotient(difference(B,difference(j(B),quotient(t(B,quotient(quotient(
% quotient(
% difference(B,A),A),
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))),
% j(B)))),A) <->
% difference(A,eta(difference(A,difference(j(A),quotient(t(A,B),j(A))))))
% Current number of equations to process: 291
% Current number of ordered equations: 27
% Current number of rules: 1037
% New rule produced :
% [1571]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(
% difference(
% j(B),j(j(B))),
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C))))),
% j(B))))),
% j(A)))),difference(difference(
% j(B),
% j(j(B))),
% difference(j(B),
% quotient(t(B,V_3),
% j(B))))),difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))) <->
% difference(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C))))),
% j(B)))),
% difference(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,C),
% j(B)))),
% difference(j(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,C),
% j(B))))),
% quotient(t(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,C),
% j(B)))),
% difference(difference(difference(j(B),j(j(B))),difference(j(B),
% quotient(t(B,V_3),
% j(B)))),difference(
% j(difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B))))),
% quotient(
% t(difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B)))),A),
% j(difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B))))))))),
% j(difference(difference(j(B),j(j(B))),difference(j(B),quotient(t(B,C),j(B)))))))))
% Current number of equations to process: 289
% Current number of ordered equations: 28
% Current number of rules: 1038
% New rule produced :
% [1572]
% difference(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C))))),
% j(B)))),
% difference(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,C),
% j(B)))),
% difference(j(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,C),
% j(B))))),
% quotient(t(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,C),
% j(B)))),
% difference(difference(difference(j(B),j(j(B))),difference(j(B),
% quotient(t(B,V_3),
% j(B)))),difference(
% j(difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B))))),
% quotient(
% t(difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B)))),A),
% j(difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B))))))))),
% j(difference(difference(j(B),j(j(B))),difference(j(B),quotient(t(B,C),j(B)))))))))
% <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(
% difference(
% j(B),j(j(B))),
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C))))),
% j(B))))),
% j(A)))),difference(difference(
% j(B),
% j(j(B))),
% difference(j(B),
% quotient(t(B,V_3),
% j(B))))),difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))))
% Rule
% [1542]
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(difference(difference(j(A),j(j(A))),difference(j(A),
% quotient(t(A,C),
% j(A)))),difference(
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))),
% quotient(
% t(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),
% eta(difference(
% difference(
% j(A),
% j(
% j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))))))),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))))))))
% ->
% eta(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))))
% collapsed.
% Current number of equations to process: 289
% Current number of ordered equations: 27
% Current number of rules: 1038
% New rule produced :
% [1573]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(
% t(B,C),difference(
% j(
% t(B,C)),
% quotient(
% t(
% t(B,C),B),
% j(
% t(B,C)))))),
% j(A)))),C),B) <->
% difference(difference(B,difference(j(B),quotient(t(B,C),j(B)))),difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))))
% Current number of equations to process: 285
% Current number of ordered equations: 26
% Current number of rules: 1039
% New rule produced :
% [1574]
% difference(difference(B,difference(j(B),quotient(t(B,C),j(B)))),difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B))))) <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(
% t(B,C),difference(
% j(
% t(B,C)),
% quotient(
% t(
% t(B,C),B),
% j(
% t(B,C)))))),
% j(A)))),C),B)
% Current number of equations to process: 285
% Current number of ordered equations: 25
% Current number of rules: 1040
% New rule produced :
% [1575]
% difference(difference(B,difference(j(B),quotient(t(B,C),j(B)))),difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% j(
% eta(A))),
% j(C))))),
% j(B))))) <->
% quotient(quotient(quotient(quotient(difference(eta(A),difference(B,difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% eta(A)),j(eta(A))),C),B)
% Current number of equations to process: 283
% Current number of ordered equations: 26
% Current number of rules: 1041
% New rule produced :
% [1576]
% quotient(quotient(quotient(quotient(difference(eta(A),difference(B,difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% eta(A)),j(eta(A))),C),B) <->
% difference(difference(B,difference(j(B),quotient(t(B,C),j(B)))),difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% j(
% eta(A))),
% j(C))))),
% j(B)))))
% Current number of equations to process: 283
% Current number of ordered equations: 25
% Current number of rules: 1042
% New rule produced :
% [1577]
% difference(A,difference(eta(A),difference(j(eta(A)),quotient(i(i(t(eta(A),B))),
% j(eta(A)))))) <->
% quotient(quotient(quotient(difference(A,quotient(quotient(difference(
% j(eta(B)),difference(B,
% difference(
% j(B),
% quotient(
% t(B,A),
% j(B))))),
% j(eta(B))),eta(B))),A),
% j(A)),A)
% Current number of equations to process: 281
% Current number of ordered equations: 26
% Current number of rules: 1043
% New rule produced :
% [1578]
% quotient(quotient(quotient(difference(A,quotient(quotient(difference(
% j(eta(B)),difference(B,
% difference(
% j(B),
% quotient(
% t(B,A),
% j(B))))),
% j(eta(B))),eta(B))),A),
% j(A)),A) <->
% difference(A,difference(eta(A),difference(j(eta(A)),quotient(i(i(t(eta(A),B))),
% j(eta(A))))))
% Current number of equations to process: 281
% Current number of ordered equations: 25
% Current number of rules: 1044
% New rule produced :
% [1579]
% quotient(difference(t(t(quotient(A,B),B),quotient(A,B)),difference(j(
% t(
% t(
% quotient(A,B),B),
% quotient(A,B))),
% quotient(t(t(
% t(
% quotient(A,B),B),
% quotient(A,B)),B),
% j(t(t(quotient(A,B),B),
% quotient(A,B)))))),
% quotient(difference(t(quotient(A,B),B),difference(B,difference(j(B),quotient(
% t(B,
% t(
% t(
% quotient(A,B),B),
% quotient(A,B))),
% j(B))))),
% t(t(quotient(A,B),B),quotient(A,B)))) -> A
% Current number of equations to process: 279
% Current number of ordered equations: 25
% Current number of rules: 1045
% New rule produced :
% [1580]
% difference(j(j(A)),quotient(quotient(difference(eta(A),difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% eta(A)),j(eta(A)))) <->
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,j(j(A))),j(B)))),A),
% j(eta(A)))
% Current number of equations to process: 277
% Current number of ordered equations: 26
% Current number of rules: 1046
% New rule produced :
% [1581]
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,j(j(A))),j(B)))),A),
% j(eta(A))) <->
% difference(j(j(A)),quotient(quotient(difference(eta(A),difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% eta(A)),j(eta(A))))
% Current number of equations to process: 277
% Current number of ordered equations: 25
% Current number of rules: 1047
% New rule produced :
% [1582]
% difference(eta(A),difference(A,quotient(quotient(quotient(quotient(quotient(
% difference(
% j(A),
% difference(
% j(
% j(j(A))),
% quotient(
% quotient(
% difference(A,
% quotient(
% quotient(
% quotient(
% j(A),A),A),
% j(A))),A),
% j(A)))),
% j(A)),
% j(j(A))),i(A)),
% j(A)),j(j(A))))) -> j(A)
% Current number of equations to process: 274
% Current number of ordered equations: 25
% Current number of rules: 1048
% New rule produced :
% [1583]
% t(i(A),difference(B,quotient(quotient(difference(j(C),j(A)),j(C)),j(j(C)))))
% <->
% quotient(difference(A,quotient(difference(quotient(quotient(difference(A,B),A),
% j(A)),quotient(quotient(difference(A,
% j(j(C))),A),
% j(A))),j(j(A)))),i(A))
% Current number of equations to process: 272
% Current number of ordered equations: 26
% Current number of rules: 1049
% New rule produced :
% [1584]
% quotient(difference(A,quotient(difference(quotient(quotient(difference(A,B),A),
% j(A)),quotient(quotient(difference(A,
% j(j(C))),A),
% j(A))),j(j(A)))),i(A)) <->
% t(i(A),difference(B,quotient(quotient(difference(j(C),j(A)),j(C)),j(j(C)))))
% Current number of equations to process: 272
% Current number of ordered equations: 25
% Current number of rules: 1050
% New rule produced :
% [1585]
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A)))),difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A))))) ->
% t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C)
% Current number of equations to process: 268
% Current number of ordered equations: 24
% Current number of rules: 1051
% New rule produced :
% [1586]
% difference(difference(quotient(quotient(difference(j(eta(A)),quotient(A,i(A))),
% j(eta(A))),eta(A)),quotient(quotient(difference(
% j(
% eta(A)),
% quotient(
% quotient(
% difference(
% j(A),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(A)),
% j(
% j(A)))),
% j(eta(A))),
% eta(A))),difference(
% j(difference(
% quotient(
% quotient(
% difference(
% j(eta(A)),
% quotient(A,
% i(A))),j(eta(A))),
% eta(A)),
% quotient(
% quotient(
% difference(
% j(eta(A)),
% quotient(
% quotient(
% difference(
% j(A),difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(A)),j(j(A)))),
% j(eta(A))),
% eta(A)))),
% quotient(t(
% difference(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),
% quotient(A,
% i(A))),
% j(
% eta(A))),
% eta(A)),
% quotient(
% quotient(
% difference(
% j(
% eta(A)),
% quotient(
% quotient(
% difference(
% j(A),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(A)),
% j(
% j(A)))),
% j(
% eta(A))),
% eta(A))),
% difference(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),
% quotient(A,
% i(A))),
% j(
% eta(A))),
% eta(A)),
% quotient(
% quotient(
% difference(
% j(
% eta(A)),
% quotient(
% quotient(
% difference(
% j(A),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))),
% j(A)),
% j(
% j(A)))),
% j(
% eta(A))),
% eta(A)))),
% j(difference(
% quotient(
% quotient(
% difference(
% j(eta(A)),
% quotient(A,
% i(A))),j(eta(A))),
% eta(A)),
% quotient(
% quotient(
% difference(
% j(eta(A)),
% quotient(
% quotient(
% difference(
% j(A),difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(A)),j(j(A)))),
% j(eta(A))),
% eta(A))))))) ->
% difference(quotient(quotient(difference(j(eta(A)),quotient(A,i(A))),j(eta(A))),
% eta(A)),quotient(quotient(difference(j(eta(A)),quotient(quotient(
% difference(
% j(A),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),
% j(A)),
% j(j(A)))),j(eta(A))),
% eta(A)))
% Current number of equations to process: 265
% Current number of ordered equations: 24
% Current number of rules: 1052
% New rule produced :
% [1587]
% difference(difference(difference(j(A),j(j(A))),quotient(quotient(difference(
% j(A),
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A)))),
% j(A)),j(j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),quotient(quotient(difference(
% j(A),
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(
% j(A)))),
% j(A)),j(j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),quotient(quotient(difference(
% j(A),
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A)))),
% j(A)),j(j(A)))),
% difference(difference(j(A),j(j(A))),quotient(quotient(difference(
% j(A),quotient(
% quotient(
% difference(
% j(A),C),
% j(A)),
% j(
% j(A)))),
% j(A)),j(j(A))))),
% j(difference(difference(j(A),j(j(A))),quotient(quotient(difference(j(A),
% quotient(quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A)))),j(A)),
% j(j(A)))))))) ->
% difference(difference(j(A),j(j(A))),quotient(quotient(difference(j(A),
% quotient(quotient(
% difference(
% j(A),difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)),
% j(j(A)))),j(A)),
% j(j(A))))
% Current number of equations to process: 264
% Current number of ordered equations: 24
% Current number of rules: 1053
% New rule produced :
% [1588]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,i(A)),
% j(B))))),
% j(A)))),difference(i(A),quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A)))) ->
% t(quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,
% i(A)),
% j(B))))),
% j(A)))),i(A)),i(A))
% Current number of equations to process: 263
% Current number of ordered equations: 24
% Current number of rules: 1054
% New rule produced :
% [1589]
% difference(quotient(quotient(difference(j(eta(A)),j(j(B))),j(eta(A))),eta(A)),
% eta(A)) <->
% t(eta(A),difference(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% eta(A)))
% Current number of equations to process: 259
% Current number of ordered equations: 25
% Current number of rules: 1055
% New rule produced :
% [1590]
% t(eta(A),difference(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% eta(A))) <->
% difference(quotient(quotient(difference(j(eta(A)),j(j(B))),j(eta(A))),eta(A)),
% eta(A))
% Current number of equations to process: 259
% Current number of ordered equations: 24
% Current number of rules: 1056
% New rule produced :
% [1591]
% quotient(quotient(difference(j(difference(A,difference(B,difference(j(B),
% quotient(t(B,C),
% j(B)))))),quotient(A,
% j(
% difference(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))))))),C),B)
% ->
% difference(difference(B,difference(j(B),quotient(t(B,C),j(B)))),difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))))),
% j(C))))),
% j(B)))))
% Current number of equations to process: 257
% Current number of ordered equations: 23
% Current number of rules: 1057
% New rule produced :
% [1592]
% quotient(quotient(difference(A,quotient(difference(quotient(quotient(
% difference(A,
% j(A)),A),
% j(A)),difference(j(
% quotient(
% quotient(
% difference(A,
% j(A)),A),
% j(A))),
% quotient(t(quotient(
% quotient(
% difference(A,
% j(A)),A),
% j(A)),x2),
% j(quotient(quotient(
% difference(A,
% j(A)),A),
% j(A)))))),
% quotient(difference(eta(A),difference(x2,
% difference(
% j(x2),quotient(
% t(x2,
% quotient(
% quotient(
% difference(A,
% j(A)),A),
% j(A))),
% j(x2))))),
% quotient(quotient(difference(A,j(A)),A),
% j(A))))),A),i(A)) ->
% difference(eta(A),difference(A,i(quotient(A,i(A)))))
% Current number of equations to process: 255
% Current number of ordered equations: 23
% Current number of rules: 1058
% New rule produced :
% [1593]
% difference(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(difference(
% j(eta(B)),
% i(C)),j(eta(B))),
% eta(B))),j(A))))) <->
% quotient(quotient(difference(C,quotient(quotient(difference(A,difference(
% j(A),quotient(
% t(A,
% eta(B)),
% j(A)))),
% j(C)),j(j(C)))),eta(B)),A)
% Current number of equations to process: 252
% Current number of ordered equations: 24
% Current number of rules: 1059
% New rule produced :
% [1594]
% quotient(quotient(difference(C,quotient(quotient(difference(A,difference(
% j(A),quotient(
% t(A,
% eta(B)),
% j(A)))),
% j(C)),j(j(C)))),eta(B)),A) <->
% difference(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(difference(
% j(eta(B)),
% i(C)),j(eta(B))),
% eta(B))),j(A)))))
% Current number of equations to process: 252
% Current number of ordered equations: 23
% Current number of rules: 1060
% New rule produced :
% [1595]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% quotient(quotient(A,
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))))),
% j(j(difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))),
% j(B)))),A) -> i(A)
% Current number of equations to process: 251
% Current number of ordered equations: 23
% Current number of rules: 1061
% New rule produced :
% [1596]
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(
% j(quotient(A,B)),
% quotient(
% t(quotient(A,B),B),
% j(quotient(A,B))))),
% j(C)))),A),quotient(A,B)) <->
% difference(difference(j(quotient(A,B)),quotient(t(quotient(A,B),B),j(
% quotient(A,B)))),
% difference(quotient(A,B),difference(j(quotient(A,B)),quotient(t(quotient(A,B),
% difference(A,
% difference(
% j(A),quotient(
% t(A,C),
% j(A))))),
% j(quotient(A,B))))))
% Current number of equations to process: 250
% Current number of ordered equations: 21
% Current number of rules: 1062
% New rule produced :
% [1597]
% difference(difference(j(quotient(A,B)),quotient(t(quotient(A,B),B),j(
% quotient(A,B)))),
% difference(quotient(A,B),difference(j(quotient(A,B)),quotient(t(quotient(A,B),
% difference(A,
% difference(
% j(A),quotient(
% t(A,C),
% j(A))))),
% j(quotient(A,B)))))) <->
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(
% j(quotient(A,B)),
% quotient(
% t(quotient(A,B),B),
% j(quotient(A,B))))),
% j(C)))),A),quotient(A,B))
% Current number of equations to process: 250
% Current number of ordered equations: 19
% Current number of rules: 1063
% New rule produced :
% [1598]
% quotient(difference(j(A),quotient(difference(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(A,difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),
% j(A))),quotient(difference(C,difference(j(C),
% quotient(t(C,difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))),B)) -> A
% Current number of equations to process: 250
% Current number of ordered equations: 18
% Current number of rules: 1064
% New rule produced :
% [1599]
% difference(quotient(quotient(difference(j(eta(A)),j(j(B))),j(eta(A))),eta(A)),
% j(eta(A))) <->
% t(eta(A),difference(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% j(eta(A))))
% Current number of equations to process: 236
% Current number of ordered equations: 19
% Current number of rules: 1065
% New rule produced :
% [1600]
% t(eta(A),difference(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% j(eta(A)))) <->
% difference(quotient(quotient(difference(j(eta(A)),j(j(B))),j(eta(A))),eta(A)),
% j(eta(A)))
% Current number of equations to process: 236
% Current number of ordered equations: 18
% Current number of rules: 1066
% New rule produced :
% [1601]
% quotient(quotient(difference(A,quotient(difference(quotient(quotient(
% difference(A,B),A),
% j(A)),difference(j(
% quotient(
% quotient(
% difference(A,B),A),
% j(A))),
% quotient(t(quotient(
% quotient(
% difference(A,B),A),
% j(A)),x2),
% j(quotient(quotient(
% difference(A,B),A),
% j(A)))))),
% quotient(difference(eta(A),difference(x2,
% difference(
% j(x2),quotient(
% t(x2,
% quotient(
% quotient(
% difference(A,B),A),
% j(A))),
% j(x2))))),
% quotient(quotient(difference(A,B),A),j(A))))),A),
% i(A)) -> difference(eta(A),difference(A,quotient(t(j(A),B),j(j(A)))))
% Rule
% [1592]
% quotient(quotient(difference(A,quotient(difference(quotient(quotient(
% difference(A,
% j(A)),A),
% j(A)),difference(j(
% quotient(
% quotient(
% difference(A,
% j(A)),A),
% j(A))),
% quotient(t(quotient(
% quotient(
% difference(A,
% j(A)),A),
% j(A)),x2),
% j(quotient(quotient(
% difference(A,
% j(A)),A),
% j(A)))))),
% quotient(difference(eta(A),difference(x2,
% difference(
% j(x2),quotient(
% t(x2,
% quotient(
% quotient(
% difference(A,
% j(A)),A),
% j(A))),
% j(x2))))),
% quotient(quotient(difference(A,j(A)),A),
% j(A))))),A),i(A)) ->
% difference(eta(A),difference(A,i(quotient(A,i(A))))) collapsed.
% Current number of equations to process: 229
% Current number of ordered equations: 18
% Current number of rules: 1066
% New rule produced :
% [1602]
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(C)))),B),A) <->
% difference(difference(t(A,B),difference(j(t(A,B)),quotient(t(t(A,B),A),
% j(t(A,B))))),difference(A,
% difference(
% j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))))
% Current number of equations to process: 229
% Current number of ordered equations: 17
% Current number of rules: 1067
% New rule produced :
% [1603]
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(C)))),B),A) <->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,difference(
% t(B,C),
% difference(
% j(
% t(B,C)),
% quotient(
% t(
% t(B,C),B),
% j(
% t(B,C)))))),
% j(A)))))
% Current number of equations to process: 229
% Current number of ordered equations: 16
% Current number of rules: 1068
% New rule produced :
% [1604]
% difference(difference(t(A,B),difference(j(t(A,B)),quotient(t(t(A,B),A),
% j(t(A,B))))),difference(A,
% difference(
% j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))))
% <->
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(C)))),B),A)
% Current number of equations to process: 229
% Current number of ordered equations: 15
% Current number of rules: 1069
% New rule produced :
% [1605]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,difference(
% t(B,C),
% difference(
% j(
% t(B,C)),
% quotient(
% t(
% t(B,C),B),
% j(
% t(B,C)))))),
% j(A))))) <->
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(C)))),B),A)
% Current number of equations to process: 229
% Current number of ordered equations: 14
% Current number of rules: 1070
% New rule produced :
% [1606]
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),quotient(
% t(A,
% j(eta(B))),
% j(A))))),
% j(C)))),j(eta(B))),A) <->
% difference(difference(A,difference(j(A),quotient(t(A,j(eta(B))),j(A)))),
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(difference(
% eta(B),C),
% eta(B)),j(eta(B)))),
% j(A)))))
% Current number of equations to process: 227
% Current number of ordered equations: 15
% Current number of rules: 1071
% New rule produced :
% [1607]
% difference(difference(A,difference(j(A),quotient(t(A,j(eta(B))),j(A)))),
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(difference(
% eta(B),C),
% eta(B)),j(eta(B)))),
% j(A))))) <->
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),quotient(
% t(A,
% j(eta(B))),
% j(A))))),
% j(C)))),j(eta(B))),A)
% Current number of equations to process: 227
% Current number of ordered equations: 14
% Current number of rules: 1072
% New rule produced :
% [1608]
% difference(difference(B,quotient(quotient(j(A),j(B)),j(j(B)))),difference(
% j(difference(B,
% quotient(
% quotient(
% j(A),
% j(B)),
% j(j(B))))),
% quotient(
% t(difference(B,
% quotient(
% quotient(
% j(A),
% j(B)),
% j(j(B)))),A),
% j(difference(B,
% quotient(
% quotient(
% j(A),
% j(B)),
% j(j(B))))))))
% -> difference(A,difference(j(A),i(B)))
% Current number of equations to process: 226
% Current number of ordered equations: 13
% Current number of rules: 1073
% New rule produced :
% [1609]
% difference(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(difference(
% j(eta(B)),
% j(C)),j(eta(B))),
% eta(B))),j(A))))) <->
% quotient(quotient(quotient(quotient(difference(C,difference(A,difference(
% j(A),quotient(
% t(A,
% eta(B)),
% j(A))))),C),
% j(C)),eta(B)),A)
% Current number of equations to process: 220
% Current number of ordered equations: 14
% Current number of rules: 1074
% New rule produced :
% [1610]
% quotient(quotient(quotient(quotient(difference(C,difference(A,difference(
% j(A),quotient(
% t(A,
% eta(B)),
% j(A))))),C),
% j(C)),eta(B)),A) <->
% difference(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(difference(
% j(eta(B)),
% j(C)),j(eta(B))),
% eta(B))),j(A)))))
% Current number of equations to process: 220
% Current number of ordered equations: 13
% Current number of rules: 1075
% New rule produced :
% [1611]
% quotient(quotient(quotient(quotient(difference(eta(B),difference(A,difference(
% j(A),
% quotient(
% t(A,
% j(
% j(B))),
% j(A))))),
% eta(B)),j(eta(B))),j(j(B))),A) ->
% quotient(difference(eta(B),A),A)
% Current number of equations to process: 219
% Current number of ordered equations: 13
% Current number of rules: 1076
% New rule produced :
% [1612]
% quotient(difference(A,quotient(difference(quotient(quotient(difference(A,B),A),
% j(A)),quotient(quotient(difference(A,
% j(j(C))),A),
% j(A))),j(j(A)))),difference(B,
% quotient(
% quotient(
% difference(
% j(C),
% j(A)),
% j(C)),
% j(j(C)))))
% -> i(A)
% Current number of equations to process: 214
% Current number of ordered equations: 13
% Current number of rules: 1077
% New rule produced :
% [1613]
% difference(quotient(quotient(difference(j(eta(B)),i(C)),j(eta(B))),eta(B)),
% quotient(quotient(difference(j(eta(B)),difference(C,quotient(quotient(A,j(C)),
% j(j(C))))),j(eta(B))),
% eta(B))) <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,quotient(
% quotient(
% difference(
% j(eta(B)),
% i(C)),j(eta(B))),
% eta(B))),
% j(A)))),i(C)),eta(B))
% Current number of equations to process: 212
% Current number of ordered equations: 14
% Current number of rules: 1078
% New rule produced :
% [1614]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,quotient(
% quotient(
% difference(
% j(eta(B)),
% i(C)),j(eta(B))),
% eta(B))),
% j(A)))),i(C)),eta(B)) <->
% difference(quotient(quotient(difference(j(eta(B)),i(C)),j(eta(B))),eta(B)),
% quotient(quotient(difference(j(eta(B)),difference(C,quotient(quotient(A,j(C)),
% j(j(C))))),j(eta(B))),
% eta(B)))
% Current number of equations to process: 212
% Current number of ordered equations: 13
% Current number of rules: 1079
% New rule produced :
% [1615]
% quotient(difference(j(quotient(quotient(difference(A,difference(B,difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),A),
% i(A))),quotient(eta(A),j(difference(eta(A),difference(A,
% quotient(
% quotient(B,
% j(A)),
% j(j(A)))))))),
% difference(A,quotient(quotient(B,j(A)),j(j(A))))) ->
% difference(eta(A),difference(A,quotient(quotient(B,j(A)),j(j(A)))))
% Current number of equations to process: 212
% Current number of ordered equations: 12
% Current number of rules: 1080
% New rule produced :
% [1616]
% quotient(difference(j(difference(eta(A),difference(A,quotient(quotient(B,
% j(A)),j(j(A)))))),
% quotient(eta(A),j(quotient(quotient(difference(A,difference(B,
% difference(
% j(B),quotient(
% t(B,eta(A)),
% j(B))))),A),
% i(A))))),difference(A,quotient(quotient(B,j(A)),
% j(j(A))))) ->
% difference(eta(A),difference(A,quotient(quotient(B,j(A)),j(j(A)))))
% Current number of equations to process: 212
% Current number of ordered equations: 11
% Current number of rules: 1081
% New rule produced :
% [1617]
% difference(A,difference(j(A),quotient(t(A,quotient(difference(C,difference(
% j(C),
% quotient(
% t(C,difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))),B)),
% j(A)))) <->
% difference(j(A),quotient(difference(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(A,difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),j(A)))
% Current number of equations to process: 212
% Current number of ordered equations: 10
% Current number of rules: 1082
% New rule produced :
% [1618]
% difference(j(A),quotient(difference(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(A,difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),j(A))) <->
% difference(A,difference(j(A),quotient(t(A,quotient(difference(C,difference(
% j(C),
% quotient(
% t(C,difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))),B)),
% j(A))))
% Current number of equations to process: 212
% Current number of ordered equations: 9
% Current number of rules: 1083
% New rule produced :
% [1619]
% quotient(quotient(difference(A,quotient(difference(quotient(quotient(
% difference(B,
% j(A)),B),
% j(B)),difference(j(
% quotient(
% quotient(
% difference(B,
% j(A)),B),
% j(B))),
% quotient(t(quotient(
% quotient(
% difference(B,
% j(A)),B),
% j(B)),x2),
% j(quotient(quotient(
% difference(B,
% j(A)),B),
% j(B)))))),
% quotient(difference(eta(A),difference(x2,
% difference(
% j(x2),quotient(
% t(x2,
% quotient(
% quotient(
% difference(B,
% j(A)),B),
% j(B))),
% j(x2))))),
% quotient(quotient(difference(B,j(A)),B),
% j(B))))),A),i(A)) ->
% difference(eta(A),difference(A,quotient(j(B),j(j(A)))))
% Current number of equations to process: 211
% Current number of ordered equations: 9
% Current number of rules: 1084
% New rule produced :
% [1620]
% difference(quotient(quotient(difference(eta(B),C),eta(B)),j(eta(B))),
% quotient(quotient(difference(eta(B),difference(C,difference(j(C),quotient(
% t(C,A),
% j(C))))),
% eta(B)),j(eta(B)))) <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,quotient(
% quotient(
% difference(
% eta(B),C),
% eta(B)),j(eta(B)))),
% j(A)))),C),j(eta(B)))
% Current number of equations to process: 209
% Current number of ordered equations: 10
% Current number of rules: 1085
% New rule produced :
% [1621]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,quotient(
% quotient(
% difference(
% eta(B),C),
% eta(B)),j(eta(B)))),
% j(A)))),C),j(eta(B))) <->
% difference(quotient(quotient(difference(eta(B),C),eta(B)),j(eta(B))),
% quotient(quotient(difference(eta(B),difference(C,difference(j(C),quotient(
% t(C,A),
% j(C))))),
% eta(B)),j(eta(B))))
% Current number of equations to process: 209
% Current number of ordered equations: 9
% Current number of rules: 1086
% New rule produced :
% [1622]
% difference(j(j(A)),difference(difference(j(j(A)),quotient(A,i(A))),difference(
% j(
% difference(
% j(
% j(A)),
% quotient(A,
% i(A)))),
% quotient(
% t(
% difference(
% j(
% j(A)),
% quotient(A,
% i(A))),B),
% j(
% difference(
% j(
% j(A)),
% quotient(A,
% i(A))))))))
% <->
% quotient(quotient(quotient(difference(eta(A),difference(B,difference(
% j(B),quotient(
% t(B,j(j(A))),
% j(B))))),
% eta(A)),j(eta(A))),j(j(A)))
% Current number of equations to process: 204
% Current number of ordered equations: 10
% Current number of rules: 1087
% New rule produced :
% [1623]
% quotient(quotient(quotient(difference(eta(A),difference(B,difference(
% j(B),quotient(
% t(B,j(j(A))),
% j(B))))),
% eta(A)),j(eta(A))),j(j(A))) <->
% difference(j(j(A)),difference(difference(j(j(A)),quotient(A,i(A))),difference(
% j(
% difference(
% j(
% j(A)),
% quotient(A,
% i(A)))),
% quotient(
% t(
% difference(
% j(
% j(A)),
% quotient(A,
% i(A))),B),
% j(
% difference(
% j(
% j(A)),
% quotient(A,
% i(A))))))))
% Current number of equations to process: 204
% Current number of ordered equations: 9
% Current number of rules: 1088
% New rule produced :
% [1624]
% t(eta(A),quotient(quotient(quotient(difference(j(eta(A)),difference(A,
% difference(j(A),
% quotient(t(A,B),
% j(A))))),j(eta(A))),
% difference(eta(A),difference(eta(A),difference(j(eta(A)),
% quotient(B,j(eta(A))))))),
% j(j(A)))) -> eta(A)
% Current number of equations to process: 203
% Current number of ordered equations: 9
% Current number of rules: 1089
% New rule produced :
% [1625]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% quotient(
% quotient(
% difference(
% j(
% eta(A)),B),
% j(
% eta(A))),
% eta(A))),
% j(C)))),B)),
% j(B))))),
% j(A)))),eta(A)) ->
% difference(A,difference(j(A),quotient(t(A,difference(B,difference(j(B),
% quotient(t(B,C),
% j(B))))),j(A))))
% Current number of equations to process: 201
% Current number of ordered equations: 9
% Current number of rules: 1090
% New rule produced :
% [1626]
% quotient(quotient(difference(difference(C,difference(j(C),quotient(t(C,B),
% j(C)))),difference(
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,B),
% j(C))))),
% quotient(
% t(difference(C,
% difference(
% j(C),
% quotient(
% t(C,B),
% j(C)))),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,B),
% j(C)))))))),B),A)
% <->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,difference(
% j(B),
% quotient(C,
% j(B)))),
% j(A)))))
% Current number of equations to process: 200
% Current number of ordered equations: 8
% Current number of rules: 1091
% New rule produced :
% [1627]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,difference(
% j(B),
% quotient(C,
% j(B)))),
% j(A))))) <->
% quotient(quotient(difference(difference(C,difference(j(C),quotient(t(C,B),
% j(C)))),difference(
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,B),
% j(C))))),
% quotient(
% t(difference(C,
% difference(
% j(C),
% quotient(
% t(C,B),
% j(C)))),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,B),
% j(C)))))))),B),A)
% Current number of equations to process: 200
% Current number of ordered equations: 7
% Current number of rules: 1092
% New rule produced :
% [1628]
% difference(t(B,j(A)),difference(j(t(B,j(A))),quotient(t(t(B,j(A)),quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% t(B,
% j(A))),
% j(A))))),
% j(B)))),
% t(B,
% j(A)))),
% j(t(B,j(A)))))) ->
% difference(A,difference(j(A),B))
% Current number of equations to process: 199
% Current number of ordered equations: 7
% Current number of rules: 1093
% New rule produced :
% [1629]
% difference(quotient(quotient(difference(j(eta(B)),j(C)),j(eta(B))),eta(B)),
% quotient(quotient(difference(j(eta(B)),quotient(quotient(difference(C,A),C),
% j(C))),j(eta(B))),eta(B))) <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,quotient(
% quotient(
% difference(
% j(eta(B)),
% j(C)),j(eta(B))),
% eta(B))),
% j(A)))),j(C)),eta(B))
% Current number of equations to process: 195
% Current number of ordered equations: 8
% Current number of rules: 1094
% New rule produced :
% [1630]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,quotient(
% quotient(
% difference(
% j(eta(B)),
% j(C)),j(eta(B))),
% eta(B))),
% j(A)))),j(C)),eta(B)) <->
% difference(quotient(quotient(difference(j(eta(B)),j(C)),j(eta(B))),eta(B)),
% quotient(quotient(difference(j(eta(B)),quotient(quotient(difference(C,A),C),
% j(C))),j(eta(B))),eta(B)))
% Current number of equations to process: 195
% Current number of ordered equations: 7
% Current number of rules: 1095
% New rule produced :
% [1631]
% difference(A,difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% j(j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))) ->
% quotient(difference(B,difference(j(B),quotient(t(B,difference(t(A,B),
% difference(j(t(A,B)),
% quotient(t(t(A,B),
% quotient(
% difference(
% j(A),quotient(
% t(A,
% t(A,B)),
% j(A))),
% t(A,B))),
% j(t(A,B)))))),j(B)))),A)
% Current number of equations to process: 192
% Current number of ordered equations: 7
% Current number of rules: 1096
% New rule produced :
% [1632]
% difference(t(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),A),quotient(difference(C,
% difference(
% j(C),quotient(
% t(C,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))),B))
% ->
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(C)))),B),A)
% Current number of equations to process: 192
% Current number of ordered equations: 6
% Current number of rules: 1097
% New rule produced :
% [1633]
% difference(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% quotient(quotient(A,j(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A)))))),
% j(j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))),
% eta(difference(A,difference(j(A),quotient(t(A,B),j(A)))))) ->
% quotient(i(A),i(difference(A,difference(j(A),quotient(t(A,B),j(A))))))
% Current number of equations to process: 191
% Current number of ordered equations: 5
% Current number of rules: 1098
% New rule produced :
% [1634]
% t(A,difference(B,difference(j(B),quotient(t(B,quotient(difference(C,difference(
% j(C),
% quotient(
% t(C,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))),B)),
% j(B))))) <->
% quotient(difference(j(A),quotient(difference(B,difference(j(B),quotient(
% t(B,C),
% j(B)))),
% j(A))),A)
% Current number of equations to process: 188
% Current number of ordered equations: 6
% Current number of rules: 1099
% New rule produced :
% [1635]
% quotient(difference(j(A),quotient(difference(B,difference(j(B),quotient(
% t(B,C),
% j(B)))),
% j(A))),A) <->
% t(A,difference(B,difference(j(B),quotient(t(B,quotient(difference(C,difference(
% j(C),
% quotient(
% t(C,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))),B)),
% j(B)))))
% Current number of equations to process: 188
% Current number of ordered equations: 5
% Current number of rules: 1100
% New rule produced :
% [1636]
% quotient(quotient(difference(j(quotient(difference(A,difference(j(A),
% quotient(t(A,B),
% j(A)))),C)),quotient(
% t(quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),C),
% j(quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C)))),B),A)
% ->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C)),
% j(B))))),
% j(A)))))
% Current number of equations to process: 188
% Current number of ordered equations: 4
% Current number of rules: 1101
% New rule produced :
% [1637]
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(
% j(A),quotient(B,
% j(A)))),
% j(C)))),difference(B,difference(
% j(B),
% quotient(
% t(B,A),
% j(B))))),A)
% <->
% difference(difference(j(A),quotient(B,j(A))),difference(A,difference(
% j(A),quotient(
% t(A,difference(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,A),
% j(B)))),
% difference(
% j(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,A),
% j(B))))),
% quotient(
% t(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,A),
% j(B)))),C),
% j(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,A),
% j(B))))))))),
% j(A)))))
% Current number of equations to process: 187
% Current number of ordered equations: 2
% Current number of rules: 1102
% New rule produced :
% [1638]
% difference(difference(j(A),quotient(B,j(A))),difference(A,difference(
% j(A),quotient(
% t(A,difference(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,A),
% j(B)))),
% difference(
% j(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,A),
% j(B))))),
% quotient(
% t(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,A),
% j(B)))),C),
% j(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,A),
% j(B))))))))),
% j(A))))) <->
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(
% j(A),quotient(B,
% j(A)))),
% j(C)))),difference(B,difference(
% j(B),
% quotient(
% t(B,A),
% j(B))))),A)
% Current number of equations to process: 187
% Current number of ordered equations: 0
% Current number of rules: 1103
% New rule produced :
% [1639]
% quotient(quotient(difference(j(A),difference(B,quotient(quotient(difference(
% j(C),
% j(eta(A))),
% j(C)),j(j(C))))),
% j(A)),j(j(A))) <->
% quotient(difference(A,difference(j(A),quotient(t(A,difference(j(eta(A)),
% difference(quotient(
% quotient(
% difference(
% eta(A),B),
% eta(A)),
% j(eta(A))),
% quotient(quotient(
% difference(
% eta(A),j(j(C))),
% eta(A)),j(eta(A)))))),
% j(A)))),eta(A))
% Current number of equations to process: 185
% Current number of ordered equations: 1
% Current number of rules: 1104
% New rule produced :
% [1640]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(j(eta(A)),
% difference(quotient(
% quotient(
% difference(
% eta(A),B),
% eta(A)),
% j(eta(A))),
% quotient(quotient(
% difference(
% eta(A),j(j(C))),
% eta(A)),j(eta(A)))))),
% j(A)))),eta(A)) <->
% quotient(quotient(difference(j(A),difference(B,quotient(quotient(difference(
% j(C),
% j(eta(A))),
% j(C)),j(j(C))))),
% j(A)),j(j(A)))
% Current number of equations to process: 185
% Current number of ordered equations: 0
% Current number of rules: 1105
% New rule produced :
% [1641]
% difference(i(A),difference(difference(A,quotient(quotient(B,j(A)),j(j(A)))),
% difference(j(difference(A,quotient(quotient(B,j(A)),j(j(A))))),
% quotient(t(difference(A,quotient(quotient(B,j(A)),j(j(A)))),C),
% j(difference(A,quotient(quotient(B,j(A)),j(j(A))))))))) <->
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,i(A)),
% j(C))))),
% j(B)))),i(A))
% Current number of equations to process: 184
% Current number of ordered equations: 1
% Current number of rules: 1106
% New rule produced :
% [1642]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,i(A)),
% j(C))))),
% j(B)))),i(A)) <->
% difference(i(A),difference(difference(A,quotient(quotient(B,j(A)),j(j(A)))),
% difference(j(difference(A,quotient(quotient(B,j(A)),j(j(A))))),
% quotient(t(difference(A,quotient(quotient(B,j(A)),j(j(A)))),C),
% j(difference(A,quotient(quotient(B,j(A)),j(j(A)))))))))
% Current number of equations to process: 184
% Current number of ordered equations: 0
% Current number of rules: 1107
% New rule produced :
% [1643]
% difference(difference(i(A),difference(A,quotient(difference(B,j(A)),j(j(A))))),
% difference(j(difference(i(A),difference(A,quotient(difference(B,j(A)),
% j(j(A)))))),quotient(t(difference(
% i(A),
% difference(A,
% quotient(
% difference(B,
% j(A)),
% j(j(A))))),A),
% j(difference(i(A),
% difference(A,
% quotient(difference(B,
% j(A)),
% j(j(A))))))))) ->
% difference(A,difference(j(A),difference(B,j(A))))
% Current number of equations to process: 183
% Current number of ordered equations: 0
% Current number of rules: 1108
% New rule produced :
% [1644]
% difference(i(A),difference(A,quotient(difference(quotient(quotient(difference(A,B),A),
% j(A)),quotient(quotient(
% difference(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),A),
% j(A))),j(j(A))))) <->
% quotient(difference(C,difference(j(C),quotient(t(C,quotient(quotient(
% difference(A,B),A),
% j(A))),j(C)))),B)
% Current number of equations to process: 181
% Current number of ordered equations: 1
% Current number of rules: 1109
% New rule produced :
% [1645]
% quotient(difference(C,difference(j(C),quotient(t(C,quotient(quotient(
% difference(A,B),A),
% j(A))),j(C)))),B) <->
% difference(i(A),difference(A,quotient(difference(quotient(quotient(difference(A,B),A),
% j(A)),quotient(quotient(
% difference(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),A),
% j(A))),j(j(A)))))
% Current number of equations to process: 181
% Current number of ordered equations: 0
% Current number of rules: 1110
% New rule produced :
% [1646]
% difference(B,quotient(quotient(difference(j(B),quotient(quotient(difference(
% eta(B),A),
% eta(B)),j(eta(B)))),
% j(B)),j(j(B)))) <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% j(eta(B))),j(j(B)))
% Current number of equations to process: 179
% Current number of ordered equations: 1
% Current number of rules: 1111
% New rule produced :
% [1647]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% j(eta(B))),j(j(B))) <->
% difference(B,quotient(quotient(difference(j(B),quotient(quotient(difference(
% eta(B),A),
% eta(B)),j(eta(B)))),
% j(B)),j(j(B))))
% Current number of equations to process: 179
% Current number of ordered equations: 0
% Current number of rules: 1112
% New rule produced :
% [1648]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(i(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(quotient(A,
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))),
% j(B)))),A) ->
% difference(A,quotient(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% i(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))
% Current number of equations to process: 178
% Current number of ordered equations: 0
% Current number of rules: 1113
% New rule produced :
% [1649]
% difference(j(B),difference(B,difference(j(B),t(j(B),A)))) <->
% quotient(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),j(B))
% Current number of equations to process: 186
% Current number of ordered equations: 1
% Current number of rules: 1114
% New rule produced :
% [1650]
% quotient(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),j(B)) <->
% difference(j(B),difference(B,difference(j(B),t(j(B),A))))
% Current number of equations to process: 186
% Current number of ordered equations: 0
% Current number of rules: 1115
% New rule produced :
% [1651]
% difference(B,difference(difference(j(B),quotient(A,j(B))),difference(
% j(difference(
% j(B),quotient(A,
% j(B)))),
% quotient(t(
% difference(
% j(B),
% quotient(A,
% j(B))),A),
% j(difference(
% j(B),quotient(A,
% j(B))))))))
% <->
% quotient(difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% j(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))),B)
% Current number of equations to process: 207
% Current number of ordered equations: 1
% Current number of rules: 1116
% New rule produced :
% [1652]
% quotient(difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% j(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))),B) <->
% difference(B,difference(difference(j(B),quotient(A,j(B))),difference(
% j(difference(
% j(B),quotient(A,
% j(B)))),
% quotient(t(
% difference(
% j(B),
% quotient(A,
% j(B))),A),
% j(difference(
% j(B),quotient(A,
% j(B))))))))
% Current number of equations to process: 207
% Current number of ordered equations: 0
% Current number of rules: 1117
% New rule produced :
% [1653]
% difference(i(i(B)),difference(difference(i(B),quotient(quotient(A,B),j(B))),
% difference(j(difference(i(B),quotient(quotient(A,B),j(B)))),
% quotient(t(difference(i(B),quotient(quotient(A,B),j(B))),B),
% j(difference(i(B),quotient(quotient(A,B),j(B)))))))) ->
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(B,i(B))),j(A)))),
% i(i(B)))
% Current number of equations to process: 206
% Current number of ordered equations: 0
% Current number of rules: 1118
% New rule produced :
% [1654]
% difference(j(C),difference(quotient(quotient(difference(C,A),C),j(C)),
% difference(j(quotient(quotient(difference(C,A),C),j(C))),
% quotient(t(quotient(quotient(difference(C,A),C),j(C)),eta(B)),
% j(quotient(quotient(difference(C,A),C),j(C))))))) <->
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(quotient(
% difference(
% j(eta(B)),
% j(C)),j(eta(B))),
% eta(B))),j(A)))),j(C))
% Current number of equations to process: 205
% Current number of ordered equations: 1
% Current number of rules: 1119
% New rule produced :
% [1655]
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(quotient(
% difference(
% j(eta(B)),
% j(C)),j(eta(B))),
% eta(B))),j(A)))),j(C)) <->
% difference(j(C),difference(quotient(quotient(difference(C,A),C),j(C)),
% difference(j(quotient(quotient(difference(C,A),C),j(C))),
% quotient(t(quotient(quotient(difference(C,A),C),j(C)),eta(B)),
% j(quotient(quotient(difference(C,A),C),j(C)))))))
% Current number of equations to process: 205
% Current number of ordered equations: 0
% Current number of rules: 1120
% New rule produced :
% [1656]
% difference(B,difference(j(B),quotient(t(B,difference(C,difference(j(C),
% quotient(t(C,j(A)),
% j(C))))),j(B)))) <->
% difference(i(A),difference(A,quotient(difference(j(A),difference(quotient(
% quotient(
% difference(A,B),A),
% j(A)),
% difference(j(quotient(
% quotient(
% difference(A,B),A),
% j(A))),
% quotient(t(quotient(
% quotient(
% difference(A,B),A),
% j(A)),C),
% j(quotient(quotient(
% difference(A,B),A),
% j(A))))))),j(j(A)))))
% Current number of equations to process: 204
% Current number of ordered equations: 1
% Current number of rules: 1121
% New rule produced :
% [1657]
% difference(i(A),difference(A,quotient(difference(j(A),difference(quotient(
% quotient(
% difference(A,B),A),
% j(A)),
% difference(j(quotient(
% quotient(
% difference(A,B),A),
% j(A))),
% quotient(t(quotient(
% quotient(
% difference(A,B),A),
% j(A)),C),
% j(quotient(quotient(
% difference(A,B),A),
% j(A))))))),j(j(A)))))
% <->
% difference(B,difference(j(B),quotient(t(B,difference(C,difference(j(C),
% quotient(t(C,j(A)),
% j(C))))),j(B))))
% Current number of equations to process: 204
% Current number of ordered equations: 0
% Current number of rules: 1122
% New rule produced :
% [1658]
% t(i(A),difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),quotient(
% t(C,
% j(A)),
% j(C))))),
% j(B))))) <->
% quotient(difference(A,quotient(difference(j(A),difference(quotient(quotient(
% difference(A,B),A),
% j(A)),difference(
% j(quotient(
% quotient(
% difference(A,B),A),
% j(A))),
% quotient(
% t(quotient(
% quotient(
% difference(A,B),A),
% j(A)),C),
% j(quotient(
% quotient(
% difference(A,B),A),
% j(A))))))),
% j(j(A)))),i(A))
% Current number of equations to process: 203
% Current number of ordered equations: 1
% Current number of rules: 1123
% New rule produced :
% [1659]
% quotient(difference(A,quotient(difference(j(A),difference(quotient(quotient(
% difference(A,B),A),
% j(A)),difference(
% j(quotient(
% quotient(
% difference(A,B),A),
% j(A))),
% quotient(
% t(quotient(
% quotient(
% difference(A,B),A),
% j(A)),C),
% j(quotient(
% quotient(
% difference(A,B),A),
% j(A))))))),
% j(j(A)))),i(A)) <->
% t(i(A),difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),quotient(
% t(C,
% j(A)),
% j(C))))),
% j(B)))))
% Current number of equations to process: 203
% Current number of ordered equations: 0
% Current number of rules: 1124
% New rule produced :
% [1660]
% difference(i(C),difference(difference(C,quotient(quotient(A,j(C)),j(j(C)))),
% difference(j(difference(C,quotient(quotient(A,j(C)),j(j(C))))),
% quotient(t(difference(C,quotient(quotient(A,j(C)),j(j(C)))),
% eta(B)),j(difference(C,quotient(quotient(A,j(C)),
% j(j(C))))))))) <->
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(quotient(
% difference(
% j(eta(B)),
% i(C)),j(eta(B))),
% eta(B))),j(A)))),i(C))
% Current number of equations to process: 202
% Current number of ordered equations: 1
% Current number of rules: 1125
% New rule produced :
% [1661]
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(quotient(
% difference(
% j(eta(B)),
% i(C)),j(eta(B))),
% eta(B))),j(A)))),i(C)) <->
% difference(i(C),difference(difference(C,quotient(quotient(A,j(C)),j(j(C)))),
% difference(j(difference(C,quotient(quotient(A,j(C)),j(j(C))))),
% quotient(t(difference(C,quotient(quotient(A,j(C)),j(j(C)))),
% eta(B)),j(difference(C,quotient(quotient(A,j(C)),
% j(j(C)))))))))
% Current number of equations to process: 202
% Current number of ordered equations: 0
% Current number of rules: 1126
% New rule produced :
% [1662]
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% j(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))))))
% ->
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(
% j(B),
% j(j(B)))),
% j(A))))
% Current number of equations to process: 211
% Current number of ordered equations: 0
% Current number of rules: 1127
% New rule produced :
% [1663]
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(
% j(B),
% j(j(B)))),
% j(A))))) ->
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A))))
% Current number of equations to process: 214
% Current number of ordered equations: 0
% Current number of rules: 1128
% New rule produced :
% [1664]
% difference(difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))))))),
% difference(j(difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))))))),
% quotient(t(difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))))))),
% difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),V_3),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))))))),
% j(difference(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))))))
% ->
% difference(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(C,
% difference(j(C),
% quotient(t(C,V_3),
% j(C))))),j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% Current number of equations to process: 224
% Current number of ordered equations: 0
% Current number of rules: 1129
% New rule produced :
% [1665]
% quotient(quotient(difference(A,quotient(difference(difference(B,quotient(
% quotient(
% j(A),
% j(B)),
% j(j(B)))),
% difference(j(difference(B,quotient(
% quotient(
% j(A),
% j(B)),
% j(j(B))))),
% quotient(t(difference(B,quotient(
% quotient(
% j(A),
% j(B)),
% j(j(B)))),x2),
% j(difference(B,quotient(quotient(
% j(A),
% j(B)),
% j(j(B)))))))),
% quotient(difference(eta(A),difference(x2,
% difference(
% j(x2),quotient(
% t(x2,
% difference(B,
% quotient(
% quotient(
% j(A),
% j(B)),
% j(j(B))))),
% j(x2))))),
% difference(B,quotient(quotient(j(A),j(B)),
% j(j(B))))))),A),i(A)) ->
% difference(eta(A),difference(A,quotient(i(B),j(j(A)))))
% Current number of equations to process: 222
% Current number of ordered equations: 0
% Current number of rules: 1130
% New rule produced :
% [1666]
% difference(A,difference(j(A),quotient(t(A,difference(j(eta(A)),quotient(
% difference(
% quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A)),
% quotient(
% quotient(
% difference(
% j(eta(A)),
% difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(eta(A))),
% eta(A))),
% j(eta(A))))),
% j(A)))) <->
% quotient(quotient(difference(j(A),quotient(difference(C,difference(j(C),
% quotient(t(C,
% quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))),
% j(C)))),B)),j(A)),
% j(j(A)))
% Current number of equations to process: 221
% Current number of ordered equations: 1
% Current number of rules: 1131
% New rule produced :
% [1667]
% quotient(quotient(difference(j(A),quotient(difference(C,difference(j(C),
% quotient(t(C,
% quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))),
% j(C)))),B)),j(A)),
% j(j(A))) <->
% difference(A,difference(j(A),quotient(t(A,difference(j(eta(A)),quotient(
% difference(
% quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A)),
% quotient(
% quotient(
% difference(
% j(eta(A)),
% difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(eta(A))),
% eta(A))),
% j(eta(A))))),
% j(A))))
% Current number of equations to process: 221
% Current number of ordered equations: 0
% Current number of rules: 1132
% New rule produced :
% [1668]
% t(i(A),quotient(difference(C,difference(j(C),quotient(t(C,quotient(quotient(
% difference(A,B),A),
% j(A))),j(C)))),B))
% <->
% quotient(difference(A,quotient(difference(quotient(quotient(difference(A,B),A),
% j(A)),quotient(quotient(difference(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),A),
% j(A))),j(j(A)))),i(A))
% Current number of equations to process: 220
% Current number of ordered equations: 1
% Current number of rules: 1133
% New rule produced :
% [1669]
% quotient(difference(A,quotient(difference(quotient(quotient(difference(A,B),A),
% j(A)),quotient(quotient(difference(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),A),
% j(A))),j(j(A)))),i(A)) <->
% t(i(A),quotient(difference(C,difference(j(C),quotient(t(C,quotient(quotient(
% difference(A,B),A),
% j(A))),j(C)))),B))
% Current number of equations to process: 220
% Current number of ordered equations: 0
% Current number of rules: 1134
% New rule produced :
% [1670]
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,A),j(C)))),
% difference(j(difference(C,difference(j(C),quotient(t(C,A),j(C))))),
% quotient(t(difference(C,difference(j(C),quotient(t(C,A),j(C)))),
% i(B)),j(difference(C,difference(j(C),quotient(t(C,A),
% j(C))))))))) <->
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,quotient(
% quotient(C,
% j(B)),
% j(j(B))))),
% j(A)))),C)
% Current number of equations to process: 219
% Current number of ordered equations: 1
% Current number of rules: 1135
% New rule produced :
% [1671]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,quotient(
% quotient(C,
% j(B)),
% j(j(B))))),
% j(A)))),C) <->
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,A),j(C)))),
% difference(j(difference(C,difference(j(C),quotient(t(C,A),j(C))))),
% quotient(t(difference(C,difference(j(C),quotient(t(C,A),j(C)))),
% i(B)),j(difference(C,difference(j(C),quotient(t(C,A),
% j(C)))))))))
% Current number of equations to process: 219
% Current number of ordered equations: 0
% Current number of rules: 1136
% New rule produced :
% [1672]
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(C)))),difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),A)
% <->
% difference(difference(j(A),quotient(t(A,B),j(A))),difference(j(A),quotient(
% difference(A,
% difference(
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))),
% difference(
% j(difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% quotient(
% t(difference(
% j(A),
% quotient(
% t(A,B),
% j(A))),
% quotient(C,A)),
% j(difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))),
% j(A))))
% Current number of equations to process: 218
% Current number of ordered equations: 1
% Current number of rules: 1137
% New rule produced :
% [1673]
% difference(difference(j(A),quotient(t(A,B),j(A))),difference(j(A),quotient(
% difference(A,
% difference(
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))),
% difference(
% j(difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% quotient(
% t(difference(
% j(A),
% quotient(
% t(A,B),
% j(A))),
% quotient(C,A)),
% j(difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))),
% j(A)))) <->
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(C)))),difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),A)
% Current number of equations to process: 218
% Current number of ordered equations: 0
% Current number of rules: 1138
% New rule produced :
% [1674]
% difference(j(j(j(A))),quotient(difference(quotient(quotient(quotient(
% quotient(
% difference(A,
% j(A)),A),
% j(A)),A),
% j(A)),difference(j(quotient(
% quotient(
% quotient(
% quotient(
% difference(A,
% j(A)),A),
% j(A)),A),
% j(A))),quotient(
% t(
% quotient(
% quotient(
% quotient(
% quotient(
% difference(A,
% j(A)),A),
% j(A)),A),
% j(A)),x2),
% j(
% quotient(
% quotient(
% quotient(
% quotient(
% difference(A,
% j(A)),A),
% j(A)),A),
% j(A)))))),
% quotient(difference(j(j(A)),difference(x2,difference(
% j(x2),
% quotient(
% t(x2,
% quotient(
% quotient(
% quotient(
% quotient(
% difference(A,
% j(A)),A),
% j(A)),A),
% j(A))),
% j(x2))))),
% quotient(quotient(quotient(quotient(difference(A,j(A)),A),
% j(A)),A),j(A))))) -> j(eta(A))
% Current number of equations to process: 216
% Current number of ordered equations: 0
% Current number of rules: 1139
% New rule produced :
% [1675]
% difference(t(t(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(A,difference(j(A),quotient(t(A,j(j(C))),j(A))))),A),
% quotient(difference(B,quotient(quotient(difference(j(C),A),j(C)),
% j(j(C)))),A)),difference(B,quotient(
% quotient(
% difference(
% j(C),A),j(C)),
% j(j(C))))) ->
% t(quotient(difference(B,quotient(quotient(difference(j(C),A),j(C)),j(j(C)))),A),A)
% Current number of equations to process: 214
% Current number of ordered equations: 1
% Current number of rules: 1140
% New rule produced :
% [1676]
% difference(t(t(quotient(difference(A,quotient(quotient(difference(j(B),C),
% j(B)),j(j(B)))),C),C),difference(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C)))),
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% j(
% j(B))),
% j(C)))))),
% difference(A,quotient(quotient(difference(j(B),C),j(B)),j(j(B))))) ->
% t(quotient(difference(A,quotient(quotient(difference(j(B),C),j(B)),j(j(B)))),C),C)
% Current number of equations to process: 214
% Current number of ordered equations: 0
% Current number of rules: 1141
% New rule produced :
% [1677]
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,A),j(C)))),
% difference(j(difference(C,difference(j(C),quotient(t(C,A),j(C))))),
% quotient(t(difference(C,difference(j(C),quotient(t(C,A),j(C)))),
% j(j(B))),j(difference(C,difference(j(C),quotient(
% t(C,A),
% j(C)))))))))
% <->
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(quotient(
% difference(
% j(B),C),j(B)),
% j(j(B)))),j(A)))),C)
% Current number of equations to process: 212
% Current number of ordered equations: 1
% Current number of rules: 1142
% New rule produced :
% [1678]
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(quotient(
% difference(
% j(B),C),j(B)),
% j(j(B)))),j(A)))),C) <->
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,A),j(C)))),
% difference(j(difference(C,difference(j(C),quotient(t(C,A),j(C))))),
% quotient(t(difference(C,difference(j(C),quotient(t(C,A),j(C)))),
% j(j(B))),j(difference(C,difference(j(C),quotient(
% t(C,A),
% j(C)))))))))
% Current number of equations to process: 212
% Current number of ordered equations: 0
% Current number of rules: 1143
% New rule produced :
% [1679]
% difference(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),
% t(eta(A),difference(B,difference(j(B),quotient(t(B,quotient(difference(C,
% difference(
% j(C),quotient(
% t(C,
% t(eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B)))))),
% j(C)))),B)),
% j(B)))))) <->
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))),
% j(C)))),B),eta(A))
% Current number of equations to process: 211
% Current number of ordered equations: 1
% Current number of rules: 1144
% New rule produced :
% [1680]
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))),
% j(C)))),B),eta(A)) <->
% difference(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),
% t(eta(A),difference(B,difference(j(B),quotient(t(B,quotient(difference(C,
% difference(
% j(C),quotient(
% t(C,
% t(eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B)))))),
% j(C)))),B)),
% j(B))))))
% Current number of equations to process: 211
% Current number of ordered equations: 0
% Current number of rules: 1145
% New rule produced :
% [1681]
% quotient(difference(i(A),difference(difference(A,quotient(quotient(B,j(A)),
% j(j(A)))),difference(
% j(difference(A,
% quotient(
% quotient(B,
% j(A)),j(j(A))))),
% quotient(t(
% difference(A,
% quotient(
% quotient(B,
% j(A)),
% j(
% j(A)))),C),
% j(difference(A,
% quotient(
% quotient(B,
% j(A)),j(j(A))))))))),A)
% <->
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,difference(C,
% difference(
% j(C),quotient(
% t(C,
% i(A)),
% j(C))))),
% j(B)))),j(A)),j(j(A)))
% Current number of equations to process: 210
% Current number of ordered equations: 1
% Current number of rules: 1146
% New rule produced :
% [1682]
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,difference(C,
% difference(
% j(C),quotient(
% t(C,
% i(A)),
% j(C))))),
% j(B)))),j(A)),j(j(A))) <->
% quotient(difference(i(A),difference(difference(A,quotient(quotient(B,j(A)),
% j(j(A)))),difference(
% j(difference(A,
% quotient(
% quotient(B,
% j(A)),j(j(A))))),
% quotient(t(
% difference(A,
% quotient(
% quotient(B,
% j(A)),
% j(
% j(A)))),C),
% j(difference(A,
% quotient(
% quotient(B,
% j(A)),j(j(A))))))))),A)
% Current number of equations to process: 210
% Current number of ordered equations: 0
% Current number of rules: 1147
% New rule produced :
% [1683]
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,A),j(C)))),
% difference(j(difference(C,difference(j(C),quotient(t(C,A),j(C))))),
% quotient(t(difference(C,difference(j(C),quotient(t(C,A),j(C)))),
% j(eta(B))),j(difference(C,difference(j(C),quotient(
% t(C,A),
% j(C)))))))))
% <->
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(quotient(
% difference(
% eta(B),C),
% eta(B)),j(eta(B)))),
% j(A)))),C)
% Current number of equations to process: 209
% Current number of ordered equations: 1
% Current number of rules: 1148
% New rule produced :
% [1684]
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(quotient(
% difference(
% eta(B),C),
% eta(B)),j(eta(B)))),
% j(A)))),C) <->
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,A),j(C)))),
% difference(j(difference(C,difference(j(C),quotient(t(C,A),j(C))))),
% quotient(t(difference(C,difference(j(C),quotient(t(C,A),j(C)))),
% j(eta(B))),j(difference(C,difference(j(C),quotient(
% t(C,A),
% j(C)))))))))
% Current number of equations to process: 209
% Current number of ordered equations: 0
% Current number of rules: 1149
% New rule produced :
% [1685]
% difference(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),difference(A,difference(
% j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))),
% j(C)))),B)),
% j(B))))),
% j(A))))) ->
% eta(A)
% Current number of equations to process: 208
% Current number of ordered equations: 0
% Current number of rules: 1150
% New rule produced :
% [1686]
% difference(eta(A),difference(A,quotient(B,j(j(A))))) <->
% quotient(quotient(difference(A,difference(B,difference(j(B),quotient(
% t(B,quotient(
% quotient(
% quotient(
% difference(A,
% t(eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,eta(A)),
% j(B)))))),A),
% j(A)),B)),
% j(B))))),A),
% i(A))
% Current number of equations to process: 206
% Current number of ordered equations: 1
% Current number of rules: 1151
% New rule produced :
% [1687]
% quotient(quotient(difference(A,difference(B,difference(j(B),quotient(
% t(B,quotient(
% quotient(
% quotient(
% difference(A,
% t(eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,eta(A)),
% j(B)))))),A),
% j(A)),B)),
% j(B))))),A),
% i(A)) <-> difference(eta(A),difference(A,quotient(B,j(j(A)))))
% Current number of equations to process: 206
% Current number of ordered equations: 0
% Current number of rules: 1152
% New rule produced :
% [1688]
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,i(A)),j(C)))),
% difference(j(difference(C,difference(j(C),quotient(t(C,i(A)),
% j(C))))),quotient(
% t(difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% i(A)),
% j(C)))),B),
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% i(A)),
% j(C)))))))))
% <->
% quotient(difference(A,quotient(quotient(difference(B,difference(j(B),
% quotient(t(B,C),
% j(B)))),j(A)),j(j(A)))),C)
% Current number of equations to process: 205
% Current number of ordered equations: 1
% Current number of rules: 1153
% New rule produced :
% [1689]
% quotient(difference(A,quotient(quotient(difference(B,difference(j(B),
% quotient(t(B,C),
% j(B)))),j(A)),j(j(A)))),C)
% <->
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,i(A)),j(C)))),
% difference(j(difference(C,difference(j(C),quotient(t(C,i(A)),
% j(C))))),quotient(
% t(difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% i(A)),
% j(C)))),B),
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% i(A)),
% j(C)))))))))
% Current number of equations to process: 205
% Current number of ordered equations: 0
% Current number of rules: 1154
% New rule produced :
% [1690]
% difference(t(A,B),difference(difference(A,difference(j(A),quotient(t(A,B),
% j(A)))),difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))))
% <->
% quotient(difference(A,difference(j(A),quotient(t(A,difference(C,difference(
% j(C),
% quotient(
% t(C,t(A,B)),
% j(C))))),
% j(A)))),t(A,B))
% Current number of equations to process: 204
% Current number of ordered equations: 1
% Current number of rules: 1155
% New rule produced :
% [1691]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(C,difference(
% j(C),
% quotient(
% t(C,t(A,B)),
% j(C))))),
% j(A)))),t(A,B)) <->
% difference(t(A,B),difference(difference(A,difference(j(A),quotient(t(A,B),
% j(A)))),difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))))
% Current number of equations to process: 204
% Current number of ordered equations: 0
% Current number of rules: 1156
% New rule produced :
% [1692]
% difference(difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))))))),
% difference(j(difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))))))),
% quotient(t(difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))))))),
% difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% difference(j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,A),
% j(V_3))))),
% j(B)))),A)),
% j(A))))),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))))))))),
% j(difference(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))))))
% ->
% difference(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(C,
% difference(j(C),
% quotient(t(C,V_3),
% j(C))))),j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% Current number of equations to process: 202
% Current number of ordered equations: 1
% Current number of rules: 1157
% New rule produced :
% [1693]
% difference(difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A))))),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))))))),
% difference(j(difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(A,
% difference(
% j(A),quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A))))),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))))))))),
% quotient(t(difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A))))),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))))))),
% difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),V_3),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))))))),
% j(difference(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(A,
% difference(
% j(A),quotient(
% t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A))))),
% j(difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))))))))
% ->
% difference(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(C,
% difference(j(C),
% quotient(t(C,V_3),
% j(C))))),j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% Current number of equations to process: 202
% Current number of ordered equations: 0
% Current number of rules: 1158
% New rule produced :
% [1694]
% quotient(quotient(difference(quotient(quotient(difference(j(eta(B)),C),
% j(eta(B))),eta(B)),difference(j(
% quotient(
% quotient(
% difference(
% j(
% eta(B)),C),
% j(
% eta(B))),
% eta(B))),
% quotient(t(quotient(
% quotient(
% difference(
% j(
% eta(B)),C),
% j(
% eta(B))),
% eta(B)),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(quotient(quotient(
% difference(
% j(
% eta(B)),C),
% j(
% eta(B))),
% eta(B)))))),B),A)
% <->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,quotient(
% quotient(
% difference(
% j(B),C),
% j(B)),
% j(
% j(B)))),
% j(A)))))
% Current number of equations to process: 201
% Current number of ordered equations: 1
% Current number of rules: 1159
% New rule produced :
% [1695]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,quotient(
% quotient(
% difference(
% j(B),C),
% j(B)),
% j(
% j(B)))),
% j(A))))) <->
% quotient(quotient(difference(quotient(quotient(difference(j(eta(B)),C),
% j(eta(B))),eta(B)),difference(j(
% quotient(
% quotient(
% difference(
% j(
% eta(B)),C),
% j(
% eta(B))),
% eta(B))),
% quotient(t(quotient(
% quotient(
% difference(
% j(
% eta(B)),C),
% j(
% eta(B))),
% eta(B)),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(quotient(quotient(
% difference(
% j(
% eta(B)),C),
% j(
% eta(B))),
% eta(B)))))),B),A)
% Current number of equations to process: 201
% Current number of ordered equations: 0
% Current number of rules: 1160
% New rule produced :
% [1696]
% difference(t(A,quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A))),
% difference(j(t(A,quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)))),
% quotient(t(t(A,quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A))),A),
% j(t(A,quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A))))))) ->
% quotient(quotient(difference(j(A),B),j(A)),j(j(A)))
% Current number of equations to process: 200
% Current number of ordered equations: 0
% Current number of rules: 1161
% New rule produced :
% [1697]
% difference(j(eta(A)),difference(quotient(quotient(difference(eta(A),B),
% eta(A)),j(eta(A))),difference(
% j(quotient(
% quotient(
% difference(
% eta(A),B),
% eta(A)),
% j(eta(A)))),
% quotient(
% t(quotient(
% quotient(
% difference(
% eta(A),B),
% eta(A)),
% j(eta(A))),C),
% j(quotient(
% quotient(
% difference(
% eta(A),B),
% eta(A)),
% j(eta(A))))))))
% <->
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,j(eta(A))),
% j(C))))),
% j(B)))),j(eta(A)))
% Current number of equations to process: 199
% Current number of ordered equations: 1
% Current number of rules: 1162
% New rule produced :
% [1698]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,j(eta(A))),
% j(C))))),
% j(B)))),j(eta(A))) <->
% difference(j(eta(A)),difference(quotient(quotient(difference(eta(A),B),
% eta(A)),j(eta(A))),difference(
% j(quotient(
% quotient(
% difference(
% eta(A),B),
% eta(A)),
% j(eta(A)))),
% quotient(
% t(quotient(
% quotient(
% difference(
% eta(A),B),
% eta(A)),
% j(eta(A))),C),
% j(quotient(
% quotient(
% difference(
% eta(A),B),
% eta(A)),
% j(eta(A))))))))
% Current number of equations to process: 199
% Current number of ordered equations: 0
% Current number of rules: 1163
% New rule produced :
% [1699]
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,A),j(C)))),
% difference(j(difference(C,difference(j(C),quotient(t(C,A),j(C))))),
% quotient(t(difference(C,difference(j(C),quotient(t(C,A),j(C)))),B),
% j(difference(C,difference(j(C),quotient(t(C,A),j(C))))))))) <->
% quotient(difference(A,difference(j(A),quotient(t(A,difference(t(B,C),
% difference(j(t(B,C)),
% quotient(t(t(B,C),B),
% j(t(B,C)))))),j(A)))),C)
% Current number of equations to process: 198
% Current number of ordered equations: 1
% Current number of rules: 1164
% New rule produced :
% [1700]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(t(B,C),
% difference(j(t(B,C)),
% quotient(t(t(B,C),B),
% j(t(B,C)))))),j(A)))),C)
% <->
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,A),j(C)))),
% difference(j(difference(C,difference(j(C),quotient(t(C,A),j(C))))),
% quotient(t(difference(C,difference(j(C),quotient(t(C,A),j(C)))),B),
% j(difference(C,difference(j(C),quotient(t(C,A),j(C)))))))))
% Current number of equations to process: 198
% Current number of ordered equations: 0
% Current number of rules: 1165
% New rule produced :
% [1701]
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,eta(A)),
% j(C)))),difference(
% j(difference(C,
% difference(
% j(C),quotient(
% t(C,
% eta(A)),
% j(C))))),
% quotient(
% t(difference(C,
% difference(
% j(C),quotient(
% t(C,
% eta(A)),
% j(C)))),B),
% j(difference(C,
% difference(
% j(C),quotient(
% t(C,
% eta(A)),
% j(C)))))))))
% <->
% quotient(quotient(quotient(difference(j(eta(A)),difference(B,difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(eta(A))),eta(A)),C)
% Current number of equations to process: 197
% Current number of ordered equations: 1
% Current number of rules: 1166
% New rule produced :
% [1702]
% quotient(quotient(quotient(difference(j(eta(A)),difference(B,difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(eta(A))),eta(A)),C) <->
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,eta(A)),
% j(C)))),difference(
% j(difference(C,
% difference(
% j(C),quotient(
% t(C,
% eta(A)),
% j(C))))),
% quotient(
% t(difference(C,
% difference(
% j(C),quotient(
% t(C,
% eta(A)),
% j(C)))),B),
% j(difference(C,
% difference(
% j(C),quotient(
% t(C,
% eta(A)),
% j(C)))))))))
% Current number of equations to process: 197
% Current number of ordered equations: 0
% Current number of rules: 1167
% New rule produced :
% [1703]
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,quotient(
% quotient(
% difference(
% j(C),A),
% j(C)),
% j(
% j(C)))),
% j(B)))),A)),
% j(A)))) <->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(j(C))),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% Current number of equations to process: 196
% Current number of ordered equations: 1
% Current number of rules: 1168
% New rule produced :
% [1704]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(j(C))),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% <->
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,quotient(
% quotient(
% difference(
% j(C),A),
% j(C)),
% j(
% j(C)))),
% j(B)))),A)),
% j(A))))
% Current number of equations to process: 196
% Current number of ordered equations: 0
% Current number of rules: 1169
% New rule produced :
% [1705]
% difference(A,t(eta(B),difference(j(difference(eta(B),difference(eta(B),
% difference(j(eta(B)),
% quotient(A,j(eta(B))))))),
% quotient(t(difference(eta(B),difference(eta(B),
% difference(j(eta(B)),
% quotient(A,j(eta(B)))))),C),
% j(difference(eta(B),difference(eta(B),difference(
% j(eta(B)),
% quotient(A,
% j(eta(B)))))))))))
% ->
% difference(j(A),quotient(t(eta(B),quotient(C,difference(eta(B),difference(
% eta(B),
% difference(
% j(eta(B)),
% quotient(A,
% j(eta(B)))))))),
% j(A)))
% Current number of equations to process: 195
% Current number of ordered equations: 0
% Current number of rules: 1170
% New rule produced :
% [1706]
% t(eta(B),quotient(quotient(difference(V_3,difference(eta(B),difference(
% eta(B),difference(
% j(
% eta(B)),
% quotient(
% difference(
% j(
% t(
% eta(B),V_3)),
% quotient(
% t(
% t(
% eta(B),V_3),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% t(
% eta(B),C)),
% j(A))))),
% j(
% t(
% eta(B),V_3)))),
% j(
% eta(B))))))),C),
% difference(eta(B),difference(eta(B),difference(j(eta(B)),quotient(A,
% j(eta(B))))))))
% <->
% difference(difference(A,difference(j(A),quotient(t(A,t(eta(B),C)),j(A)))),
% difference(A,difference(j(A),quotient(t(A,t(eta(B),difference(C,difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C)))))),
% j(A)))))
% Current number of equations to process: 194
% Current number of ordered equations: 1
% Current number of rules: 1171
% New rule produced :
% [1707]
% difference(difference(A,difference(j(A),quotient(t(A,t(eta(B),C)),j(A)))),
% difference(A,difference(j(A),quotient(t(A,t(eta(B),difference(C,difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C)))))),
% j(A))))) <->
% t(eta(B),quotient(quotient(difference(V_3,difference(eta(B),difference(
% eta(B),difference(
% j(
% eta(B)),
% quotient(
% difference(
% j(
% t(
% eta(B),V_3)),
% quotient(
% t(
% t(
% eta(B),V_3),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% t(
% eta(B),C)),
% j(A))))),
% j(
% t(
% eta(B),V_3)))),
% j(
% eta(B))))))),C),
% difference(eta(B),difference(eta(B),difference(j(eta(B)),quotient(A,
% j(eta(B))))))))
% Current number of equations to process: 194
% Current number of ordered equations: 0
% Current number of rules: 1172
% New rule produced :
% [1708]
% t(j(C),difference(difference(C,difference(j(C),quotient(t(C,A),j(C)))),
% difference(j(difference(C,difference(j(C),quotient(t(C,A),j(C))))),
% quotient(t(difference(C,difference(j(C),quotient(t(C,A),j(C)))),B),
% j(difference(C,difference(j(C),quotient(t(C,A),j(C))))))))) <->
% quotient(quotient(quotient(quotient(difference(A,difference(j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),C),C),
% j(C)),j(C))
% Current number of equations to process: 193
% Current number of ordered equations: 1
% Current number of rules: 1173
% New rule produced :
% [1709]
% quotient(quotient(quotient(quotient(difference(A,difference(j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),C),C),
% j(C)),j(C)) <->
% t(j(C),difference(difference(C,difference(j(C),quotient(t(C,A),j(C)))),
% difference(j(difference(C,difference(j(C),quotient(t(C,A),j(C))))),
% quotient(t(difference(C,difference(j(C),quotient(t(C,A),j(C)))),B),
% j(difference(C,difference(j(C),quotient(t(C,A),j(C)))))))))
% Current number of equations to process: 193
% Current number of ordered equations: 0
% Current number of rules: 1174
% New rule produced :
% [1710]
% difference(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),
% difference(j(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A))),
% quotient(t(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),
% t(eta(A),C)),j(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),
% eta(A)))))) ->
% t(eta(A),difference(B,difference(j(B),quotient(t(B,quotient(quotient(
% difference(
% j(eta(A)),C),
% j(eta(A))),
% eta(A))),j(B)))))
% Current number of equations to process: 191
% Current number of ordered equations: 0
% Current number of rules: 1175
% New rule produced :
% [1711]
% quotient(difference(A,quotient(difference(i(difference(quotient(j(B),B),
% quotient(j(B),quotient(difference(
% j(
% j(B)),
% i(B)),
% quotient(j(B),B))))),
% quotient(j(B),quotient(difference(j(j(B)),
% i(B)),quotient(j(B),B)))),
% difference(quotient(j(B),B),quotient(j(B),quotient(
% difference(
% j(j(B)),
% i(B)),
% quotient(
% j(B),B)))))),
% quotient(j(B),B)) -> quotient(difference(A,j(B)),quotient(j(B),B))
% Current number of equations to process: 190
% Current number of ordered equations: 0
% Current number of rules: 1176
% New rule produced :
% [1712]
% difference(eta(A),difference(quotient(quotient(difference(j(eta(A)),B),
% j(eta(A))),eta(A)),difference(j(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),B),
% j(
% eta(A))),
% eta(A))),
% quotient(t(quotient(
% quotient(
% difference(
% j(
% eta(A)),B),
% j(
% eta(A))),
% eta(A)),C),
% j(quotient(quotient(
% difference(
% j(
% eta(A)),B),
% j(
% eta(A))),
% eta(A))))))) <->
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,eta(A)),
% j(C))))),
% j(B)))),eta(A))
% Current number of equations to process: 188
% Current number of ordered equations: 1
% Current number of rules: 1177
% New rule produced :
% [1713]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,eta(A)),
% j(C))))),
% j(B)))),eta(A)) <->
% difference(eta(A),difference(quotient(quotient(difference(j(eta(A)),B),
% j(eta(A))),eta(A)),difference(j(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),B),
% j(
% eta(A))),
% eta(A))),
% quotient(t(quotient(
% quotient(
% difference(
% j(
% eta(A)),B),
% j(
% eta(A))),
% eta(A)),C),
% j(quotient(quotient(
% difference(
% j(
% eta(A)),B),
% j(
% eta(A))),
% eta(A)))))))
% Current number of equations to process: 188
% Current number of ordered equations: 0
% Current number of rules: 1178
% New rule produced :
% [1714]
% quotient(difference(A,difference(j(A),quotient(t(A,t(eta(B),quotient(
% quotient(
% difference(
% j(C),quotient(
% t(eta(B),
% quotient(
% difference(
% j(eta(B)),
% j(j(C))),
% j(eta(B)))),
% j(j(C)))),
% j(C)),j(j(C))))),
% j(A)))),quotient(quotient(difference(
% j(C),
% eta(B)),
% j(C)),j(j(C)))) ->
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(difference(
% j(eta(B)),
% j(j(C))),
% j(eta(B)))),j(A)))),
% quotient(quotient(difference(j(C),eta(B)),j(C)),j(j(C))))
% Current number of equations to process: 187
% Current number of ordered equations: 0
% Current number of rules: 1179
% New rule produced :
% [1715]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(A)))),C),t(difference(
% difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B)))),
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B))))),B))
% ->
% t(t(quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),C),B),B),quotient(
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),C),B))
% Current number of equations to process: 185
% Current number of ordered equations: 0
% Current number of rules: 1180
% New rule produced :
% [1716]
% quotient(difference(A,quotient(difference(j(A),difference(quotient(quotient(
% difference(A,B),A),
% j(A)),difference(
% j(quotient(
% quotient(
% difference(A,B),A),
% j(A))),
% quotient(
% t(quotient(
% quotient(
% difference(A,B),A),
% j(A)),C),
% j(quotient(
% quotient(
% difference(A,B),A),
% j(A))))))),
% j(j(A)))),difference(B,difference(j(B),quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% j(A)),
% j(C))))),
% j(B))))) ->
% i(A)
% Current number of equations to process: 182
% Current number of ordered equations: 0
% Current number of rules: 1181
% New rule produced :
% [1717]
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,j(j(A))),
% j(C)))),difference(
% j(difference(C,
% difference(
% j(C),quotient(
% t(C,
% j(
% j(A))),
% j(C))))),
% quotient(
% t(difference(C,
% difference(
% j(C),quotient(
% t(C,
% j(
% j(A))),
% j(C)))),B),
% j(difference(C,
% difference(
% j(C),quotient(
% t(C,
% j(
% j(A))),
% j(C)))))))))
% <->
% quotient(quotient(quotient(difference(j(A),difference(B,difference(j(B),
% quotient(t(B,C),
% j(B))))),j(A)),
% j(j(A))),C)
% Current number of equations to process: 181
% Current number of ordered equations: 1
% Current number of rules: 1182
% New rule produced :
% [1718]
% quotient(quotient(quotient(difference(j(A),difference(B,difference(j(B),
% quotient(t(B,C),
% j(B))))),j(A)),
% j(j(A))),C) <->
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,j(j(A))),
% j(C)))),difference(
% j(difference(C,
% difference(
% j(C),quotient(
% t(C,
% j(
% j(A))),
% j(C))))),
% quotient(
% t(difference(C,
% difference(
% j(C),quotient(
% t(C,
% j(
% j(A))),
% j(C)))),B),
% j(difference(C,
% difference(
% j(C),quotient(
% t(C,
% j(
% j(A))),
% j(C)))))))))
% Current number of equations to process: 181
% Current number of ordered equations: 0
% Current number of rules: 1183
% New rule produced :
% [1719]
% difference(A,difference(difference(t(A,B),difference(j(t(A,B)),quotient(
% t(t(A,B),A),
% j(t(A,B))))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))))) <->
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)
% Current number of equations to process: 175
% Current number of ordered equations: 7
% Current number of rules: 1184
% New rule produced :
% [1720]
% difference(A,difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(t(A,B),difference(j(t(A,B)),quotient(
% t(t(A,B),A),
% j(t(A,B)))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))))) <->
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)
% Current number of equations to process: 175
% Current number of ordered equations: 6
% Current number of rules: 1185
% New rule produced :
% [1721]
% difference(A,difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(t(A,B),difference(j(t(A,B)),quotient(
% t(t(A,B),A),
% j(t(A,B))))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))))) <->
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)
% Current number of equations to process: 175
% Current number of ordered equations: 5
% Current number of rules: 1186
% New rule produced :
% [1722]
% difference(A,difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(t(A,B),difference(j(t(A,B)),quotient(t(t(A,B),A),
% j(t(A,B)))))))))) <->
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)
% Current number of equations to process: 175
% Current number of ordered equations: 4
% Current number of rules: 1187
% New rule produced :
% [1723]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A) <->
% difference(A,difference(difference(t(A,B),difference(j(t(A,B)),quotient(
% t(t(A,B),A),
% j(t(A,B))))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))))
% Current number of equations to process: 175
% Current number of ordered equations: 3
% Current number of rules: 1188
% New rule produced :
% [1724]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A) <->
% difference(A,difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(t(A,B),difference(j(t(A,B)),quotient(
% t(t(A,B),A),
% j(t(A,B)))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))))
% Current number of equations to process: 175
% Current number of ordered equations: 2
% Current number of rules: 1189
% New rule produced :
% [1725]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A) <->
% difference(A,difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(t(A,B),difference(j(t(A,B)),quotient(
% t(t(A,B),A),
% j(t(A,B))))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))))
% Current number of equations to process: 175
% Current number of ordered equations: 1
% Current number of rules: 1190
% New rule produced :
% [1726]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A) <->
% difference(A,difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(t(A,B),difference(j(t(A,B)),quotient(t(t(A,B),A),
% j(t(A,B))))))))))
% Current number of equations to process: 175
% Current number of ordered equations: 0
% Current number of rules: 1191
% New rule produced :
% [1727]
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,j(eta(A))),
% j(C)))),difference(
% j(difference(C,
% difference(
% j(C),quotient(
% t(C,
% j(
% eta(A))),
% j(C))))),
% quotient(
% t(difference(C,
% difference(
% j(C),quotient(
% t(C,
% j(
% eta(A))),
% j(C)))),B),
% j(difference(C,
% difference(
% j(C),quotient(
% t(C,
% j(
% eta(A))),
% j(C)))))))))
% <->
% quotient(quotient(quotient(difference(eta(A),difference(B,difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% eta(A)),j(eta(A))),C)
% Current number of equations to process: 174
% Current number of ordered equations: 1
% Current number of rules: 1192
% New rule produced :
% [1728]
% quotient(quotient(quotient(difference(eta(A),difference(B,difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% eta(A)),j(eta(A))),C) <->
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,j(eta(A))),
% j(C)))),difference(
% j(difference(C,
% difference(
% j(C),quotient(
% t(C,
% j(
% eta(A))),
% j(C))))),
% quotient(
% t(difference(C,
% difference(
% j(C),quotient(
% t(C,
% j(
% eta(A))),
% j(C)))),B),
% j(difference(C,
% difference(
% j(C),quotient(
% t(C,
% j(
% eta(A))),
% j(C)))))))))
% Current number of equations to process: 174
% Current number of ordered equations: 0
% Current number of rules: 1193
% New rule produced :
% [1729]
% difference(eta(A),difference(quotient(quotient(difference(j(eta(A)),j(B)),
% j(eta(A))),eta(A)),difference(j(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),
% j(B)),
% j(
% eta(A))),
% eta(A))),
% quotient(t(quotient(
% quotient(
% difference(
% j(
% eta(A)),
% j(B)),
% j(
% eta(A))),
% eta(A)),C),
% j(quotient(quotient(
% difference(
% j(
% eta(A)),
% j(B)),
% j(
% eta(A))),
% eta(A))))))) <->
% quotient(quotient(quotient(difference(B,difference(C,difference(j(C),
% quotient(t(C,eta(A)),
% j(C))))),B),j(B)),
% eta(A))
% Current number of equations to process: 173
% Current number of ordered equations: 1
% Current number of rules: 1194
% New rule produced :
% [1730]
% quotient(quotient(quotient(difference(B,difference(C,difference(j(C),
% quotient(t(C,eta(A)),
% j(C))))),B),j(B)),
% eta(A)) <->
% difference(eta(A),difference(quotient(quotient(difference(j(eta(A)),j(B)),
% j(eta(A))),eta(A)),difference(j(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),
% j(B)),
% j(
% eta(A))),
% eta(A))),
% quotient(t(quotient(
% quotient(
% difference(
% j(
% eta(A)),
% j(B)),
% j(
% eta(A))),
% eta(A)),C),
% j(quotient(quotient(
% difference(
% j(
% eta(A)),
% j(B)),
% j(
% eta(A))),
% eta(A)))))))
% Current number of equations to process: 173
% Current number of ordered equations: 0
% Current number of rules: 1195
% New rule produced :
% [1731]
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,A),j(C)))),
% difference(j(difference(C,difference(j(C),quotient(t(C,A),j(C))))),
% quotient(t(difference(C,difference(j(C),quotient(t(C,A),j(C)))),
% i(i(B))),j(difference(C,difference(j(C),quotient(
% t(C,A),
% j(C)))))))))
% <->
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(quotient(
% difference(
% j(eta(B)),
% difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(eta(B))),
% eta(B))),j(A)))),C)
% Current number of equations to process: 172
% Current number of ordered equations: 1
% Current number of rules: 1196
% New rule produced :
% [1732]
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(quotient(
% difference(
% j(eta(B)),
% difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(eta(B))),
% eta(B))),j(A)))),C) <->
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,A),j(C)))),
% difference(j(difference(C,difference(j(C),quotient(t(C,A),j(C))))),
% quotient(t(difference(C,difference(j(C),quotient(t(C,A),j(C)))),
% i(i(B))),j(difference(C,difference(j(C),quotient(
% t(C,A),
% j(C)))))))))
% Current number of equations to process: 172
% Current number of ordered equations: 0
% Current number of rules: 1197
% New rule produced :
% [1733]
% difference(eta(A),difference(quotient(quotient(difference(j(eta(A)),i(B)),
% j(eta(A))),eta(A)),difference(j(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),
% i(B)),
% j(
% eta(A))),
% eta(A))),
% quotient(t(quotient(
% quotient(
% difference(
% j(
% eta(A)),
% i(B)),
% j(
% eta(A))),
% eta(A)),C),
% j(quotient(quotient(
% difference(
% j(
% eta(A)),
% i(B)),
% j(
% eta(A))),
% eta(A))))))) <->
% quotient(difference(B,quotient(quotient(difference(C,difference(j(C),
% quotient(t(C,eta(A)),
% j(C)))),j(B)),j(j(B)))),
% eta(A))
% Current number of equations to process: 170
% Current number of ordered equations: 1
% Current number of rules: 1198
% New rule produced :
% [1734]
% quotient(difference(B,quotient(quotient(difference(C,difference(j(C),
% quotient(t(C,eta(A)),
% j(C)))),j(B)),j(j(B)))),
% eta(A)) <->
% difference(eta(A),difference(quotient(quotient(difference(j(eta(A)),i(B)),
% j(eta(A))),eta(A)),difference(j(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),
% i(B)),
% j(
% eta(A))),
% eta(A))),
% quotient(t(quotient(
% quotient(
% difference(
% j(
% eta(A)),
% i(B)),
% j(
% eta(A))),
% eta(A)),C),
% j(quotient(quotient(
% difference(
% j(
% eta(A)),
% i(B)),
% j(
% eta(A))),
% eta(A)))))))
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 1199
% New rule produced :
% [1735]
% quotient(difference(i(difference(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(A,difference(j(A),quotient(t(A,j(j(C))),
% j(A)))))),difference(A,
% difference(
% j(A),quotient(
% t(A,
% quotient(
% difference(B,
% quotient(
% quotient(
% difference(
% j(C),A),
% j(C)),
% j(j(C)))),A)),
% j(A))))),
% quotient(difference(B,quotient(quotient(difference(j(C),A),j(C)),j(j(C)))),A))
% -> difference(B,quotient(quotient(difference(j(C),A),j(C)),j(j(C))))
% Current number of equations to process: 167
% Current number of ordered equations: 2
% Current number of rules: 1200
% New rule produced :
% [1736]
% quotient(difference(i(quotient(difference(A,quotient(quotient(difference(
% j(B),C),
% j(B)),j(j(B)))),C)),
% difference(C,difference(j(C),quotient(t(C,difference(difference(C,
% difference(
% j(C),quotient(
% t(C,A),
% j(C)))),
% difference(C,difference(
% j(C),
% quotient(
% t(C,j(j(B))),
% j(C)))))),
% j(C))))),quotient(difference(A,
% quotient(quotient(
% difference(
% j(B),C),
% j(B)),
% j(j(B)))),C)) ->
% difference(A,quotient(quotient(difference(j(B),C),j(B)),j(j(B))))
% Current number of equations to process: 167
% Current number of ordered equations: 1
% Current number of rules: 1201
% New rule produced :
% [1737]
% quotient(difference(difference(A,quotient(quotient(difference(j(B),C),j(B)),
% j(j(B)))),difference(j(difference(A,
% quotient(quotient(
% difference(
% j(B),C),
% j(B)),
% j(j(B))))),quotient(
% t(
% difference(A,
% quotient(
% quotient(
% difference(
% j(B),C),
% j(B)),
% j(
% j(B)))),
% quotient(
% difference(A,
% quotient(
% quotient(
% difference(
% j(B),C),
% j(B)),
% j(
% j(B)))),C)),
% j(
% difference(A,
% quotient(
% quotient(
% difference(
% j(B),C),
% j(B)),
% j(
% j(B)))))))),
% difference(difference(C,difference(j(C),quotient(t(C,A),j(C)))),difference(C,
% difference(
% j(C),
% quotient(
% t(C,j(j(B))),
% j(C)))))) ->
% difference(A,quotient(quotient(difference(j(B),C),j(B)),j(j(B))))
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 1202
% New rule produced :
% [1738]
% quotient(quotient(difference(j(difference(A,difference(j(A),quotient(
% t(A,B),j(A))))),
% j(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))),B),A)
% ->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,difference(
% j(B),
% quotient(A,
% j(B)))),
% j(A)))))
% Current number of equations to process: 166
% Current number of ordered equations: 0
% Current number of rules: 1203
% New rule produced :
% [1739]
% difference(A,difference(j(A),quotient(t(A,difference(B,difference(j(B),
% quotient(t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B))))),j(A)))) <->
% difference(j(A),quotient(difference(A,difference(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,difference(j(A),
% quotient(t(A,B),
% j(A))))))))),j(A)))
% Current number of equations to process: 165
% Current number of ordered equations: 1
% Current number of rules: 1204
% New rule produced :
% [1740]
% difference(j(A),quotient(difference(A,difference(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,difference(j(A),
% quotient(t(A,B),
% j(A))))))))),j(A))) <->
% difference(A,difference(j(A),quotient(t(A,difference(B,difference(j(B),
% quotient(t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B))))),j(A))))
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 1205
% New rule produced :
% [1741]
% difference(A,difference(j(A),quotient(t(A,difference(B,difference(j(B),
% quotient(t(B,i(A)),
% j(B))))),j(A)))) <->
% quotient(difference(x2,difference(j(x2),quotient(difference(i(A),quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))),
% j(x2)))),quotient(difference(
% i(A),difference(x2,
% difference(
% j(x2),
% quotient(
% t(x2,difference(
% i(A),
% quotient(
% quotient(
% difference(
% j(
% eta(A)),B),
% j(
% eta(A))),
% eta(A)))),
% j(x2))))),
% difference(i(A),quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A)))))
% Current number of equations to process: 164
% Current number of ordered equations: 1
% Current number of rules: 1206
% New rule produced :
% [1742]
% quotient(difference(x2,difference(j(x2),quotient(difference(i(A),quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))),
% j(x2)))),quotient(difference(
% i(A),difference(x2,
% difference(
% j(x2),
% quotient(
% t(x2,difference(
% i(A),
% quotient(
% quotient(
% difference(
% j(
% eta(A)),B),
% j(
% eta(A))),
% eta(A)))),
% j(x2))))),
% difference(i(A),quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A)))))
% <->
% difference(A,difference(j(A),quotient(t(A,difference(B,difference(j(B),
% quotient(t(B,i(A)),
% j(B))))),j(A))))
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 1207
% New rule produced :
% [1743]
% difference(difference(A,difference(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))))),
% difference(B,difference(j(B),quotient(t(B,difference(C,difference(j(C),
% quotient(t(C,A),
% j(C))))),j(B))))) -> A
% Current number of equations to process: 162
% Current number of ordered equations: 1
% Current number of rules: 1208
% New rule produced :
% [1744]
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(quotient(
% difference(
% j(B),difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)),j(j(B))),A)),
% j(A)))) <->
% difference(difference(A,difference(j(A),quotient(t(A,j(j(B))),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,j(j(B))),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,j(j(B))),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,j(j(B))),j(A))))))))
% Current number of equations to process: 161
% Current number of ordered equations: 2
% Current number of rules: 1209
% New rule produced :
% [1745]
% difference(difference(A,difference(j(A),quotient(t(A,j(j(B))),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,j(j(B))),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,j(j(B))),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,j(j(B))),j(A)))))))) <->
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(quotient(
% difference(
% j(B),difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)),j(j(B))),A)),
% j(A))))
% Current number of equations to process: 161
% Current number of ordered equations: 1
% Current number of rules: 1210
% New rule produced :
% [1746]
% quotient(difference(B,difference(C,difference(j(C),quotient(t(C,difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,A),
% j(V_3))))),
% j(C))))),A) <->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),
% difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),V_3),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))))))))
% Current number of equations to process: 160
% Current number of ordered equations: 2
% Current number of rules: 1211
% New rule produced :
% [1747]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),
% difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),V_3),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))))))))
% <->
% quotient(difference(B,difference(C,difference(j(C),quotient(t(C,difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,A),
% j(V_3))))),
% j(C))))),A)
% Current number of equations to process: 160
% Current number of ordered equations: 1
% Current number of rules: 1212
% New rule produced :
% [1748]
% quotient(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))),quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A))
% -> A
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 1213
% New rule produced :
% [1749]
% quotient(difference(A,quotient(difference(quotient(quotient(difference(A,B),A),
% j(A)),quotient(quotient(difference(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),A),
% j(A))),j(j(A)))),quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% quotient(
% quotient(
% difference(A,B),A),
% j(A))),
% j(C)))),B))
% -> i(A)
% Current number of equations to process: 158
% Current number of ordered equations: 0
% Current number of rules: 1214
% New rule produced :
% [1750]
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,quotient(
% quotient(
% difference(
% j(
% eta(C)),
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(
% eta(C))),
% eta(C))),
% j(B)))),A)),
% j(A)))) <->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% i(i(C))),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% Current number of equations to process: 157
% Current number of ordered equations: 1
% Current number of rules: 1215
% New rule produced :
% [1751]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% i(i(C))),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% <->
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,quotient(
% quotient(
% difference(
% j(
% eta(C)),
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(
% eta(C))),
% eta(C))),
% j(B)))),A)),
% j(A))))
% Current number of equations to process: 157
% Current number of ordered equations: 0
% Current number of rules: 1216
% New rule produced :
% [1752]
% difference(difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))))))),
% difference(j(difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))))))),
% quotient(t(difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))))))),
% difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(A,
% difference(j(A),
% quotient(t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% quotient(
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(V_3)))),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))),
% j(B)))),A)),
% j(A)))))),j(
% difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),
% difference(
% j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))))))
% ->
% difference(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(C,
% difference(j(C),
% quotient(t(C,V_3),
% j(C))))),j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% Current number of equations to process: 155
% Current number of ordered equations: 1
% Current number of rules: 1217
% New rule produced :
% [1753]
% difference(difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(A,
% difference(
% j(A),quotient(
% t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% difference(
% j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(C)))),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))),
% j(B)))),A)),
% j(A))))),
% difference(j(difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(A,
% difference(
% j(A),quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(C)))),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))),
% j(B)))),A)),
% j(A)))))),
% quotient(t(difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(A,
% difference(
% j(A),quotient(
% t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% difference(
% j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(C)))),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))),
% j(B)))),A)),
% j(A))))),
% difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),V_3),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))))))),
% j(difference(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(A,difference(
% j(A),quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% difference(
% j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(C)))),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))),
% j(B)))),A)),
% j(A)))))))))
% ->
% difference(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(C,
% difference(j(C),
% quotient(t(C,V_3),
% j(C))))),j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% Current number of equations to process: 155
% Current number of ordered equations: 0
% Current number of rules: 1218
% New rule produced :
% [1754]
% difference(t(A,quotient(difference(B,difference(j(B),quotient(t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))))
% -> A
% Current number of equations to process: 154
% Current number of ordered equations: 0
% Current number of rules: 1219
% New rule produced :
% [1755]
% quotient(quotient(quotient(quotient(quotient(difference(A,difference(
% j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),C),B),
% difference(B,difference(j(B),quotient(t(B,C),j(B))))),
% j(difference(B,difference(j(B),quotient(t(B,C),j(B)))))),difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B))))) ->
% j(difference(B,difference(j(B),quotient(t(B,C),j(B)))))
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 1220
% New rule produced :
% [1756]
% t(eta(A),quotient(B,difference(eta(A),difference(C,difference(j(C),quotient(
% t(C,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,
% eta(A)),
% j(V_3))))),
% j(C)))))))
% <->
% quotient(t(eta(A),B),difference(eta(A),difference(quotient(quotient(difference(
% j(
% eta(A)),C),
% j(eta(A))),
% eta(A)),difference(
% j(quotient(
% quotient(
% difference(
% j(eta(A)),C),
% j(eta(A))),
% eta(A))),
% quotient(t(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),C),
% j(
% eta(A))),
% eta(A)),V_3),
% j(quotient(
% quotient(
% difference(
% j(eta(A)),C),
% j(eta(A))),
% eta(A))))))))
% Current number of equations to process: 152
% Current number of ordered equations: 1
% Current number of rules: 1221
% New rule produced :
% [1757]
% quotient(t(eta(A),B),difference(eta(A),difference(quotient(quotient(difference(
% j(
% eta(A)),C),
% j(eta(A))),
% eta(A)),difference(
% j(quotient(
% quotient(
% difference(
% j(eta(A)),C),
% j(eta(A))),
% eta(A))),
% quotient(t(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),C),
% j(
% eta(A))),
% eta(A)),V_3),
% j(quotient(
% quotient(
% difference(
% j(eta(A)),C),
% j(eta(A))),
% eta(A)))))))) <->
% t(eta(A),quotient(B,difference(eta(A),difference(C,difference(j(C),quotient(
% t(C,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,
% eta(A)),
% j(V_3))))),
% j(C)))))))
% Current number of equations to process: 152
% Current number of ordered equations: 0
% Current number of rules: 1222
% New rule produced :
% [1758]
% quotient(quotient(quotient(difference(t(quotient(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),C),
% difference(j(t(quotient(difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),C)),
% quotient(t(t(quotient(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),C),B),
% j(t(quotient(difference(A,difference(j(A),
% quotient(t(A,B),
% j(A)))),C),C))))),
% quotient(difference(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(B,difference(j(B),quotient(t(B,
% t(quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),C)),
% j(B))))),t(quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),C))),B),A)
% ->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% t(
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),C)),
% j(B))))),
% j(A)))))
% Current number of equations to process: 151
% Current number of ordered equations: 0
% Current number of rules: 1223
% New rule produced :
% [1759]
% difference(difference(quotient(quotient(C,B),j(B)),difference(j(quotient(
% quotient(C,B),
% j(B))),
% quotient(t(quotient(
% quotient(C,B),
% j(B)),A),
% j(quotient(quotient(C,B),
% j(B)))))),quotient(
% difference(
% quotient(
% quotient(C,B),
% j(B)),
% difference(
% j(quotient(
% quotient(C,B),
% j(B))),
% quotient(
% t(quotient(
% quotient(C,B),
% j(B)),B),
% j(quotient(
% quotient(C,B),
% j(B)))))),
% quotient(
% difference(
% eta(B),
% quotient(
% quotient(C,B),
% j(B))),
% quotient(
% quotient(C,B),
% j(B))))) ->
% quotient(difference(A,quotient(quotient(difference(B,difference(j(B),
% quotient(t(B,C),
% j(B)))),j(B)),j(j(B)))),
% quotient(quotient(C,B),j(B)))
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 1224
% New rule produced :
% [1760]
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,quotient(
% quotient(
% difference(
% j(A),B),j(A)),
% j(j(A)))),
% j(C)))),quotient(quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))),A) <->
% difference(quotient(quotient(difference(j(A),B),j(A)),j(j(A))),difference(A,
% difference(
% j(A),quotient(
% t(A,
% difference(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),B),
% j(
% eta(A))),
% eta(A)),
% difference(
% j(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),B),
% j(
% eta(A))),
% eta(A))),
% quotient(
% t(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),B),
% j(
% eta(A))),
% eta(A)),C),
% j(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),B),
% j(
% eta(A))),
% eta(A))))))),
% j(A)))))
% Current number of equations to process: 149
% Current number of ordered equations: 1
% Current number of rules: 1225
% New rule produced :
% [1761]
% difference(quotient(quotient(difference(j(A),B),j(A)),j(j(A))),difference(A,
% difference(
% j(A),quotient(
% t(A,
% difference(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),B),
% j(
% eta(A))),
% eta(A)),
% difference(
% j(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),B),
% j(
% eta(A))),
% eta(A))),
% quotient(
% t(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),B),
% j(
% eta(A))),
% eta(A)),C),
% j(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),B),
% j(
% eta(A))),
% eta(A))))))),
% j(A)))))
% <->
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,quotient(
% quotient(
% difference(
% j(A),B),j(A)),
% j(j(A)))),
% j(C)))),quotient(quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))),A)
% Current number of equations to process: 149
% Current number of ordered equations: 0
% Current number of rules: 1226
% New rule produced :
% [1762]
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,i(i(A))),
% j(C)))),difference(
% j(difference(C,
% difference(
% j(C),quotient(
% t(C,
% i(
% i(A))),
% j(C))))),
% quotient(
% t(difference(C,
% difference(
% j(C),quotient(
% t(C,
% i(
% i(A))),
% j(C)))),B),
% j(difference(C,
% difference(
% j(C),quotient(
% t(C,
% i(
% i(A))),
% j(C)))))))))
% <->
% quotient(quotient(quotient(difference(j(eta(A)),difference(A,difference(
% j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),
% j(eta(A))),eta(A)),C)
% Current number of equations to process: 147
% Current number of ordered equations: 1
% Current number of rules: 1227
% New rule produced :
% [1763]
% quotient(quotient(quotient(difference(j(eta(A)),difference(A,difference(
% j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),
% j(eta(A))),eta(A)),C) <->
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,i(i(A))),
% j(C)))),difference(
% j(difference(C,
% difference(
% j(C),quotient(
% t(C,
% i(
% i(A))),
% j(C))))),
% quotient(
% t(difference(C,
% difference(
% j(C),quotient(
% t(C,
% i(
% i(A))),
% j(C)))),B),
% j(difference(C,
% difference(
% j(C),quotient(
% t(C,
% i(
% i(A))),
% j(C)))))))))
% Current number of equations to process: 147
% Current number of ordered equations: 0
% Current number of rules: 1228
% New rule produced :
% [1764]
% t(eta(A),difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,eta(A)),
% j(C))))),
% j(B))))) <->
% difference(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),
% difference(j(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A))),
% quotient(t(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),C),
% j(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A))))))
% Current number of equations to process: 145
% Current number of ordered equations: 1
% Current number of rules: 1229
% New rule produced :
% [1765]
% difference(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),
% difference(j(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A))),
% quotient(t(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),C),
% j(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)))))) <->
% t(eta(A),difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,eta(A)),
% j(C))))),
% j(B)))))
% Current number of equations to process: 145
% Current number of ordered equations: 0
% Current number of rules: 1230
% New rule produced :
% [1766]
% t(eta(A),difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,eta(A)),
% j(C))))),
% j(B))))) <->
% t(eta(A),difference(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))),
% difference(eta(A),difference(eta(A),difference(j(eta(A)),quotient(
% difference(
% j(t(
% eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B)))))),
% quotient(
% t(t(
% eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),C),
% j(t(
% eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B)))))))),
% j(eta(A))))))))
% Current number of equations to process: 144
% Current number of ordered equations: 1
% Current number of rules: 1231
% New rule produced :
% [1767]
% t(eta(A),difference(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))),
% difference(eta(A),difference(eta(A),difference(j(eta(A)),quotient(
% difference(
% j(t(
% eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B)))))),
% quotient(
% t(t(
% eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),C),
% j(t(
% eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B)))))))),
% j(eta(A))))))))
% <->
% t(eta(A),difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,eta(A)),
% j(C))))),
% j(B)))))
% Current number of equations to process: 144
% Current number of ordered equations: 0
% Current number of rules: 1232
% New rule produced :
% [1768]
% quotient(quotient(difference(t(A,difference(B,difference(j(B),quotient(
% t(B,C),
% j(B))))),
% difference(j(t(A,difference(B,difference(j(B),quotient(
% t(B,C),
% j(B)))))),
% quotient(t(t(A,difference(B,difference(j(B),quotient(
% t(B,C),
% j(B))))),A),
% j(t(A,difference(B,difference(j(B),quotient(t(B,C),j(B))))))))),C),B)
% ->
% difference(difference(B,difference(j(B),quotient(t(B,C),j(B)))),difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))))
% Current number of equations to process: 143
% Current number of ordered equations: 0
% Current number of rules: 1233
% New rule produced :
% [1769]
% quotient(quotient(quotient(quotient(quotient(difference(A,difference(
% j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),C),B),
% difference(B,difference(j(B),quotient(t(B,C),j(B))))),
% j(difference(B,difference(j(B),quotient(t(B,C),j(B)))))),j(difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))))
% <->
% t(j(difference(B,difference(j(B),quotient(t(B,C),j(B))))),difference(B,
% difference(
% j(B),quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))))
% Current number of equations to process: 142
% Current number of ordered equations: 1
% Current number of rules: 1234
% New rule produced :
% [1770]
% t(j(difference(B,difference(j(B),quotient(t(B,C),j(B))))),difference(B,
% difference(
% j(B),quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B))))) <->
% quotient(quotient(quotient(quotient(quotient(difference(A,difference(
% j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),C),B),
% difference(B,difference(j(B),quotient(t(B,C),j(B))))),
% j(difference(B,difference(j(B),quotient(t(B,C),j(B)))))),j(difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))))
% Current number of equations to process: 142
% Current number of ordered equations: 0
% Current number of rules: 1235
% New rule produced :
% [1771]
% difference(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,difference(
% j(B),
% j(
% j(B)))),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))))))),
% difference(j(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,
% difference(
% j(B),
% j(j(B)))),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))))))),
% quotient(t(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,difference(
% j(B),
% j(
% j(B)))),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))))))),
% difference(difference(difference(j(A),j(j(A))),difference(j(A),
% quotient(t(A,
% difference(
% j(B),
% j(j(B)))),
% j(A)))),difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B)))),
% j(A)))))),
% j(difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,
% difference(
% j(B),
% j(j(B)))),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A))))))))))))
% ->
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(
% j(B),
% j(
% j(B)))),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(C,difference(j(C),quotient(t(C,difference(difference(
% j(A),j(j(A))),
% difference(j(A),quotient(
% t(A,V_3),
% j(A))))),
% j(C))))),j(difference(difference(
% j(A),j(j(A))),
% difference(j(A),quotient(
% t(A,B),
% j(A))))))))
% Current number of equations to process: 140
% Current number of ordered equations: 1
% Current number of rules: 1236
% New rule produced :
% [1772]
% difference(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,difference(
% j(B),
% j(
% j(B)))),
% j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))),
% j(A))))),
% difference(j(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,
% difference(
% j(B),
% j(j(B)))),
% j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))),
% j(A)))))),
% quotient(t(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,difference(
% j(B),
% j(
% j(B)))),
% j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))),
% j(A))))),
% difference(difference(difference(j(A),j(j(A))),difference(j(A),
% quotient(t(A,
% difference(
% j(B),
% j(j(B)))),
% j(A)))),difference(
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),V_3),
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))),
% j(difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,
% difference(
% j(B),
% j(j(B)))),
% j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))),
% j(A))))))))) ->
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(
% j(B),
% j(
% j(B)))),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(difference(difference(j(A),j(j(A))),difference(j(A),
% quotient(t(A,C),
% j(A)))),difference(
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))),
% quotient(
% t(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),V_3),
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))))))),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A))))))))
% Current number of equations to process: 140
% Current number of ordered equations: 0
% Current number of rules: 1237
% New rule produced :
% [1773]
% difference(B,difference(j(B),quotient(t(B,difference(C,difference(j(C),
% quotient(t(C,quotient(A,B)),
% j(C))))),j(B)))) <->
% quotient(difference(B,difference(j(B),quotient(difference(quotient(A,B),
% difference(A,difference(
% j(A),quotient(
% t(A,C),
% j(A))))),
% j(B)))),quotient(difference(quotient(A,B),
% difference(B,difference(
% j(B),
% quotient(
% t(B,
% difference(
% quotient(A,B),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))))),
% j(B))))),
% difference(quotient(A,B),
% difference(A,difference(
% j(A),quotient(
% t(A,C),
% j(A)))))))
% Current number of equations to process: 139
% Current number of ordered equations: 1
% Current number of rules: 1238
% New rule produced :
% [1774]
% quotient(difference(B,difference(j(B),quotient(difference(quotient(A,B),
% difference(A,difference(
% j(A),quotient(
% t(A,C),
% j(A))))),
% j(B)))),quotient(difference(quotient(A,B),
% difference(B,difference(
% j(B),
% quotient(
% t(B,
% difference(
% quotient(A,B),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))))),
% j(B))))),
% difference(quotient(A,B),
% difference(A,difference(
% j(A),quotient(
% t(A,C),
% j(A)))))))
% <->
% difference(B,difference(j(B),quotient(t(B,difference(C,difference(j(C),
% quotient(t(C,quotient(A,B)),
% j(C))))),j(B))))
% Current number of equations to process: 139
% Current number of ordered equations: 0
% Current number of rules: 1239
% New rule produced :
% [1775]
% quotient(difference(quotient(quotient(quotient(difference(j(eta(A)),difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(
% j(B),
% quotient(
% t(B,A),
% j(B))),A)),
% j(A))))),
% j(eta(A))),eta(A)),B),quotient(
% quotient(
% difference(
% j(eta(A)),
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(eta(A))),
% eta(A))),B) ->
% quotient(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))))
% Current number of equations to process: 138
% Current number of ordered equations: 0
% Current number of rules: 1240
% New rule produced :
% [1776]
% quotient(quotient(quotient(quotient(difference(A,difference(j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),C),C),
% j(C)),difference(difference(C,difference(j(C),quotient(t(C,A),j(C)))),
% difference(j(difference(C,difference(j(C),quotient(t(C,A),
% j(C))))),quotient(
% t(difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C)))),B),
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C)))))))))
% -> j(C)
% Current number of equations to process: 136
% Current number of ordered equations: 0
% Current number of rules: 1241
% New rule produced :
% [1777]
% difference(i(B),quotient(difference(difference(B,quotient(quotient(A,j(B)),
% j(j(B)))),difference(
% j(difference(B,
% quotient(
% quotient(A,
% j(B)),j(j(B))))),
% quotient(t(
% difference(B,
% quotient(
% quotient(A,
% j(B)),
% j(
% j(B)))),B),
% j(difference(B,
% quotient(
% quotient(A,
% j(B)),j(j(B)))))))),
% quotient(difference(j(B),quotient(quotient(A,j(B)),j(j(B)))),
% difference(B,quotient(quotient(A,j(B)),j(j(B))))))) ->
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(j(B),B)),j(A)))),
% i(B))
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 1242
% New rule produced :
% [1778]
% difference(A,difference(j(A),difference(quotient(quotient(difference(A,B),A),
% j(A)),quotient(quotient(difference(A,
% j(j(C))),A),
% j(A))))) <->
% difference(difference(B,quotient(quotient(difference(j(C),j(A)),j(C)),
% j(j(C)))),difference(j(difference(B,quotient(
% quotient(
% difference(
% j(C),j(A)),
% j(C)),j(j(C))))),
% quotient(t(difference(B,quotient(quotient(
% difference(
% j(C),
% j(A)),
% j(C)),
% j(j(C)))),A),
% j(difference(B,quotient(quotient(difference(
% j(C),
% j(A)),
% j(C)),j(j(C))))))))
% Current number of equations to process: 133
% Current number of ordered equations: 1
% Current number of rules: 1243
% New rule produced :
% [1779]
% difference(difference(B,quotient(quotient(difference(j(C),j(A)),j(C)),
% j(j(C)))),difference(j(difference(B,quotient(
% quotient(
% difference(
% j(C),j(A)),
% j(C)),j(j(C))))),
% quotient(t(difference(B,quotient(quotient(
% difference(
% j(C),
% j(A)),
% j(C)),
% j(j(C)))),A),
% j(difference(B,quotient(quotient(difference(
% j(C),
% j(A)),
% j(C)),j(j(C))))))))
% <->
% difference(A,difference(j(A),difference(quotient(quotient(difference(A,B),A),
% j(A)),quotient(quotient(difference(A,
% j(j(C))),A),
% j(A)))))
% Current number of equations to process: 133
% Current number of ordered equations: 0
% Current number of rules: 1244
% New rule produced :
% [1780]
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(quotient(
% difference(
% j(eta(B)),
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B))))),
% j(eta(B))),
% eta(B)),A)),j(A)))) <->
% difference(difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A))))))))
% Current number of equations to process: 131
% Current number of ordered equations: 1
% Current number of rules: 1245
% New rule produced :
% [1781]
% difference(difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A)))))))) <->
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(quotient(
% difference(
% j(eta(B)),
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B))))),
% j(eta(B))),
% eta(B)),A)),j(A))))
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 1246
% New rule produced :
% [1782]
% quotient(quotient(quotient(difference(j(eta(difference(A,difference(j(A),
% quotient(t(A,B),
% j(A)))))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A))))),
% j(eta(difference(A,difference(j(A),quotient(t(A,B),j(A))))))),
% eta(difference(A,difference(j(A),quotient(t(A,B),j(A)))))),C) ->
% i(i(difference(A,difference(j(A),quotient(t(A,B),j(A))))))
% Current number of equations to process: 130
% Current number of ordered equations: 0
% Current number of rules: 1247
% New rule produced :
% [1783]
% difference(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A)))),difference(j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(j(difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% ->
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,difference(A,
% difference(
% j(A),quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A),difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))))
% Current number of equations to process: 129
% Current number of ordered equations: 0
% Current number of rules: 1248
% New rule produced :
% [1784]
% difference(difference(difference(A,j(A)),difference(A,quotient(t(i(A),B),A))),
% difference(j(difference(difference(A,j(A)),difference(A,quotient(t(i(A),B),A)))),
% quotient(t(difference(difference(A,j(A)),difference(A,quotient(t(i(A),B),A))),
% difference(difference(A,j(A)),difference(A,quotient(t(i(A),C),A)))),
% j(difference(difference(A,j(A)),difference(A,quotient(t(i(A),B),A))))))) ->
% difference(difference(A,j(A)),difference(A,quotient(t(i(A),difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),A)))
% Current number of equations to process: 128
% Current number of ordered equations: 0
% Current number of rules: 1249
% New rule produced :
% [1785]
% difference(A,difference(j(A),quotient(t(A,difference(j(eta(A)),quotient(B,
% j(eta(A))))),
% j(A)))) <->
% quotient(quotient(quotient(difference(j(A),quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,
% difference(x2,
% difference(
% j(x2),
% quotient(
% t(x2,
% j(j(A))),
% j(x2))))),
% j(B)))),
% j(j(A)))),j(A)),j(j(A))),quotient(
% difference(
% eta(A),
% difference(x2,
% difference(
% j(x2),
% quotient(
% t(x2,
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(
% j(A)))),
% j(x2))))),
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(
% j(A)))))
% Current number of equations to process: 127
% Current number of ordered equations: 1
% Current number of rules: 1250
% New rule produced :
% [1786]
% quotient(quotient(quotient(difference(j(A),quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,
% difference(x2,
% difference(
% j(x2),
% quotient(
% t(x2,
% j(j(A))),
% j(x2))))),
% j(B)))),
% j(j(A)))),j(A)),j(j(A))),quotient(
% difference(
% eta(A),
% difference(x2,
% difference(
% j(x2),
% quotient(
% t(x2,
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(
% j(A)))),
% j(x2))))),
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(
% j(A)))))
% <->
% difference(A,difference(j(A),quotient(t(A,difference(j(eta(A)),quotient(B,
% j(eta(A))))),
% j(A))))
% Current number of equations to process: 127
% Current number of ordered equations: 0
% Current number of rules: 1251
% New rule produced :
% [1787]
% quotient(difference(difference(j(A),quotient(t(A,B),j(A))),difference(
% j(difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% quotient(difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))))),
% j(difference(
% j(A),quotient(
% t(A,B),
% j(A))))))),
% difference(A,difference(j(A),quotient(t(A,B),j(A))))) <->
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(C)))),B),A)
% Current number of equations to process: 126
% Current number of ordered equations: 1
% Current number of rules: 1252
% New rule produced :
% [1788]
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(C)))),B),A) <->
% quotient(difference(difference(j(A),quotient(t(A,B),j(A))),difference(
% j(difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% quotient(difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))))),
% j(difference(
% j(A),quotient(
% t(A,B),
% j(A))))))),
% difference(A,difference(j(A),quotient(t(A,B),j(A)))))
% Current number of equations to process: 126
% Current number of ordered equations: 0
% Current number of rules: 1253
% New rule produced :
% [1789]
% t(eta(A),difference(t(A,B),difference(j(t(A,B)),quotient(t(t(A,B),quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(
% quotient(
% eta(A),
% j(eta(A))),
% difference(
% j(quotient(
% eta(A),
% j(
% eta(A)))),
% quotient(
% t(quotient(
% eta(A),
% j(
% eta(A))),
% t(A,B)),
% j(quotient(
% eta(A),
% j(
% eta(A)))))))),
% j(A)))),
% t(A,B))),
% j(t(A,B)))))) ->
% quotient(quotient(difference(j(eta(A)),difference(A,difference(j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A))))),
% j(eta(A))),eta(A))
% Current number of equations to process: 124
% Current number of ordered equations: 0
% Current number of rules: 1254
% New rule produced :
% [1790]
% difference(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,difference(
% j(B),
% j(
% j(B)))),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))))))),
% difference(j(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,
% difference(
% j(B),
% j(j(B)))),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))))))),
% quotient(t(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,difference(
% j(B),
% j(
% j(B)))),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))))))),
% difference(difference(difference(j(A),j(j(A))),difference(j(A),
% quotient(t(A,
% difference(
% j(B),
% j(j(B)))),
% j(A)))),difference(
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),V_3),
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))),
% j(difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,
% difference(
% j(B),
% j(j(B)))),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A))))))))))))
% ->
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(
% j(B),
% j(
% j(B)))),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(C,difference(j(C),quotient(t(C,V_3),j(C))))),j(difference(
% difference(
% j(A),
% j(
% j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% Current number of equations to process: 123
% Current number of ordered equations: 0
% Current number of rules: 1255
% New rule produced :
% [1791]
% t(eta(A),difference(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% difference(j(quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B)))),quotient(t(quotient(quotient(difference(
% j(B),eta(A)),
% j(B)),j(j(B))),C),
% j(quotient(quotient(difference(j(B),eta(A)),
% j(B)),j(j(B)))))))) <->
% difference(j(quotient(quotient(difference(j(eta(A)),j(j(B))),j(eta(A))),
% eta(A))),t(eta(A),quotient(quotient(C,quotient(quotient(
% difference(
% j(B),eta(A)),
% j(B)),j(j(B)))),
% j(quotient(quotient(difference(j(B),eta(A)),
% j(B)),j(j(B)))))))
% Current number of equations to process: 120
% Current number of ordered equations: 2
% Current number of rules: 1256
% New rule produced :
% [1792]
% difference(j(t(eta(A),quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))))),quotient(t(eta(A),quotient(C,quotient(
% quotient(
% difference(
% j(B),eta(A)),
% j(B)),j(j(B))))),
% j(quotient(quotient(difference(j(eta(A)),
% j(j(B))),j(eta(A))),
% eta(A))))) ->
% t(eta(A),difference(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% difference(j(quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B)))),quotient(t(quotient(quotient(difference(
% j(B),eta(A)),
% j(B)),j(j(B))),C),
% j(quotient(quotient(difference(j(B),eta(A)),
% j(B)),j(j(B))))))))
% Current number of equations to process: 120
% Current number of ordered equations: 1
% Current number of rules: 1257
% New rule produced :
% [1793]
% difference(j(quotient(quotient(difference(j(eta(A)),j(j(B))),j(eta(A))),
% eta(A))),t(eta(A),quotient(quotient(C,quotient(quotient(
% difference(
% j(B),eta(A)),
% j(B)),j(j(B)))),
% j(quotient(quotient(difference(j(B),eta(A)),
% j(B)),j(j(B))))))) <->
% t(eta(A),difference(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% difference(j(quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B)))),quotient(t(quotient(quotient(difference(
% j(B),eta(A)),
% j(B)),j(j(B))),C),
% j(quotient(quotient(difference(j(B),eta(A)),
% j(B)),j(j(B))))))))
% Current number of equations to process: 120
% Current number of ordered equations: 0
% Current number of rules: 1258
% New rule produced :
% [1794]
% difference(quotient(quotient(difference(eta(difference(A,difference(j(A),
% quotient(t(A,B),
% j(A))))),A),
% eta(difference(A,difference(j(A),quotient(t(A,B),j(A)))))),
% j(eta(difference(A,difference(j(A),quotient(t(A,B),j(A))))))),
% j(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))) ->
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,quotient(
% quotient(
% difference(
% eta(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),A),
% eta(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(eta(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))),
% j(B)))),A),j(eta(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))
% Current number of equations to process: 119
% Current number of ordered equations: 0
% Current number of rules: 1259
% New rule produced :
% [1795]
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,eta(A)),
% j(C)))),difference(
% j(difference(C,
% difference(
% j(C),quotient(
% t(C,
% eta(A)),
% j(C))))),
% quotient(
% t(difference(C,
% difference(
% j(C),quotient(
% t(C,
% eta(A)),
% j(C)))),B),
% j(difference(C,
% difference(
% j(C),quotient(
% t(C,
% eta(A)),
% j(C)))))))))
% <->
% quotient(t(eta(A),difference(B,difference(j(B),quotient(t(B,quotient(
% difference(C,
% difference(
% j(C),quotient(
% t(C,
% t(eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B)))))),
% j(C)))),B)),
% j(B))))),C)
% Current number of equations to process: 116
% Current number of ordered equations: 1
% Current number of rules: 1260
% New rule produced :
% [1796]
% quotient(t(eta(A),difference(B,difference(j(B),quotient(t(B,quotient(
% difference(C,
% difference(
% j(C),quotient(
% t(C,
% t(eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B)))))),
% j(C)))),B)),
% j(B))))),C) <->
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,eta(A)),
% j(C)))),difference(
% j(difference(C,
% difference(
% j(C),quotient(
% t(C,
% eta(A)),
% j(C))))),
% quotient(
% t(difference(C,
% difference(
% j(C),quotient(
% t(C,
% eta(A)),
% j(C)))),B),
% j(difference(C,
% difference(
% j(C),quotient(
% t(C,
% eta(A)),
% j(C)))))))))
% Current number of equations to process: 116
% Current number of ordered equations: 0
% Current number of rules: 1261
% New rule produced :
% [1797]
% quotient(quotient(quotient(difference(j(eta(A)),difference(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A))))))))),
% j(eta(A))),eta(A)),quotient(difference(B,difference(
% j(B),quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A))
% -> i(i(A))
% Current number of equations to process: 112
% Current number of ordered equations: 0
% Current number of rules: 1262
% New rule produced :
% [1798]
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,A),j(C)))),
% difference(j(difference(C,difference(j(C),quotient(t(C,A),j(C))))),
% quotient(t(difference(C,difference(j(C),quotient(t(C,A),j(C)))),B),
% j(difference(C,difference(j(C),quotient(t(C,A),j(C))))))))) <->
% quotient(difference(t(A,difference(B,difference(j(B),quotient(t(B,C),j(B))))),
% difference(j(t(A,difference(B,difference(j(B),quotient(t(B,C),j(B)))))),
% quotient(t(t(A,difference(B,difference(j(B),quotient(t(B,C),j(B))))),A),
% j(t(A,difference(B,difference(j(B),quotient(t(B,C),j(B))))))))),C)
% Current number of equations to process: 111
% Current number of ordered equations: 1
% Current number of rules: 1263
% New rule produced :
% [1799]
% quotient(difference(t(A,difference(B,difference(j(B),quotient(t(B,C),j(B))))),
% difference(j(t(A,difference(B,difference(j(B),quotient(t(B,C),j(B)))))),
% quotient(t(t(A,difference(B,difference(j(B),quotient(t(B,C),j(B))))),A),
% j(t(A,difference(B,difference(j(B),quotient(t(B,C),j(B))))))))),C)
% <->
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,A),j(C)))),
% difference(j(difference(C,difference(j(C),quotient(t(C,A),j(C))))),
% quotient(t(difference(C,difference(j(C),quotient(t(C,A),j(C)))),B),
% j(difference(C,difference(j(C),quotient(t(C,A),j(C)))))))))
% Current number of equations to process: 111
% Current number of ordered equations: 0
% Current number of rules: 1264
% New rule produced :
% [1800]
% quotient(difference(A,quotient(difference(i(difference(quotient(quotient(
% difference(B,
% j(B)),B),
% j(B)),quotient(
% i(B),quotient(
% difference(
% eta(B),
% quotient(
% quotient(
% difference(B,
% j(B)),B),
% j(B))),
% quotient(
% quotient(
% difference(B,
% j(B)),B),
% j(B)))))),
% quotient(i(B),quotient(difference(eta(B),
% quotient(quotient(
% difference(B,
% j(B)),B),
% j(B))),quotient(
% quotient(
% difference(B,
% j(B)),B),
% j(B))))),
% difference(quotient(quotient(difference(B,j(B)),B),
% j(B)),quotient(i(B),quotient(difference(
% eta(B),
% quotient(
% quotient(
% difference(B,
% j(B)),B),
% j(B))),
% quotient(quotient(
% difference(B,
% j(B)),B),
% j(B))))))),quotient(
% quotient(
% difference(B,
% j(B)),B),
% j(B))) ->
% quotient(difference(A,j(j(j(B)))),quotient(quotient(difference(B,j(B)),B),
% j(B)))
% Current number of equations to process: 110
% Current number of ordered equations: 0
% Current number of rules: 1265
% New rule produced :
% [1801]
% difference(t(difference(A,difference(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),
% j(A))))))))),A),
% difference(B,difference(j(B),quotient(t(B,difference(C,difference(j(C),
% quotient(t(C,A),
% j(C))))),j(B))))) ->
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)
% Current number of equations to process: 108
% Current number of ordered equations: 0
% Current number of rules: 1266
% New rule produced :
% [1802]
% quotient(difference(i(difference(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(A,difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))))),difference(A,
% difference(
% j(A),quotient(
% t(A,
% quotient(
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))),B),A)),
% j(A))))),
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(C)))),B),A)) ->
% quotient(difference(C,difference(j(C),quotient(t(C,difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))),B)
% Current number of equations to process: 105
% Current number of ordered equations: 2
% Current number of rules: 1267
% New rule produced :
% [1803]
% quotient(difference(i(quotient(quotient(difference(A,difference(j(A),
% quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),C),B)),difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))))),
% j(B))))),
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(A)))),C),B)) ->
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),C)
% Current number of equations to process: 105
% Current number of ordered equations: 1
% Current number of rules: 1268
% New rule produced :
% [1804]
% quotient(difference(quotient(difference(A,difference(j(A),quotient(t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),C),
% difference(j(quotient(difference(A,difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),C)),
% quotient(t(quotient(difference(A,difference(j(A),quotient(t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),C),
% quotient(quotient(difference(A,difference(j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),C),B)),
% j(quotient(difference(A,difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(A)))),C))))),difference(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))))) ->
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),C)
% Current number of equations to process: 105
% Current number of ordered equations: 0
% Current number of rules: 1269
% New rule produced :
% [1805]
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(A,
% i(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(A,
% i(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(A,
% i(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),j(A))))),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(A,i(A))))))))
% ->
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(
% i(A),
% quotient(
% quotient(B,A),
% j(A)))),
% j(A))))
% Current number of equations to process: 104
% Current number of ordered equations: 0
% Current number of rules: 1270
% New rule produced :
% [1806]
% t(eta(B),difference(difference(C,difference(j(C),quotient(t(C,V_3),j(C)))),
% difference(C,difference(j(C),quotient(t(C,difference(V_3,difference(
% eta(B),
% difference(
% eta(B),
% difference(
% j(eta(B)),
% quotient(
% difference(
% j(t(
% eta(B),V_3)),
% quotient(
% t(t(
% eta(B),V_3),A),
% j(t(
% eta(B),V_3)))),
% j(eta(B)))))))),
% j(C)))))) <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,t(eta(B),
% difference(C,
% difference(
% j(C),quotient(
% t(C,V_3),
% j(C)))))),
% j(A)))),t(eta(B),V_3)),
% t(eta(B),C))
% Current number of equations to process: 103
% Current number of ordered equations: 1
% Current number of rules: 1271
% New rule produced :
% [1807]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,t(eta(B),
% difference(C,
% difference(
% j(C),quotient(
% t(C,V_3),
% j(C)))))),
% j(A)))),t(eta(B),V_3)),
% t(eta(B),C)) <->
% t(eta(B),difference(difference(C,difference(j(C),quotient(t(C,V_3),j(C)))),
% difference(C,difference(j(C),quotient(t(C,difference(V_3,difference(
% eta(B),
% difference(
% eta(B),
% difference(
% j(eta(B)),
% quotient(
% difference(
% j(t(
% eta(B),V_3)),
% quotient(
% t(t(
% eta(B),V_3),A),
% j(t(
% eta(B),V_3)))),
% j(eta(B)))))))),
% j(C))))))
% Current number of equations to process: 103
% Current number of ordered equations: 0
% Current number of rules: 1272
% New rule produced :
% [1808]
% difference(difference(quotient(quotient(difference(A,j(A)),A),j(A)),j(A)),
% difference(j(difference(quotient(quotient(difference(A,j(A)),A),j(A)),j(A))),
% quotient(t(difference(quotient(quotient(difference(A,j(A)),A),j(A)),j(A)),
% difference(quotient(quotient(difference(A,j(A)),A),j(A)),quotient(
% quotient(
% difference(A,
% quotient(
% quotient(
% difference(A,B),A),
% j(A))),A),
% j(A)))),
% j(difference(quotient(quotient(difference(A,j(A)),A),j(A)),j(A)))))) ->
% difference(quotient(quotient(difference(A,j(A)),A),j(A)),quotient(quotient(
% difference(A,
% quotient(
% quotient(B,A),
% j(A))),A),
% j(A)))
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 1273
% New rule produced :
% [1809]
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(A,
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(A,
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(A,
% j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),j(A))))),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(A,j(A))))))))
% ->
% difference(difference(j(A),j(j(A))),difference(A,difference(j(A),quotient(
% t(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(A)))))
% Current number of equations to process: 100
% Current number of ordered equations: 0
% Current number of rules: 1274
% New rule produced :
% [1810]
% difference(eta(A),difference(A,quotient(difference(quotient(quotient(
% difference(A,B),A),
% j(A)),quotient(quotient(
% difference(A,
% j(j(C))),A),
% j(A))),j(j(A)))))
% <->
% quotient(quotient(difference(A,quotient(difference(difference(B,quotient(
% quotient(
% difference(
% j(C),
% j(A)),
% j(C)),
% j(j(C)))),
% difference(j(difference(B,quotient(
% quotient(
% difference(
% j(C),
% j(A)),
% j(C)),
% j(j(C))))),
% quotient(t(difference(B,quotient(
% quotient(
% difference(
% j(C),
% j(A)),
% j(C)),
% j(j(C)))),x2),
% j(difference(B,quotient(quotient(
% difference(
% j(C),
% j(A)),
% j(C)),
% j(j(C)))))))),
% quotient(difference(eta(A),difference(x2,
% difference(
% j(x2),quotient(
% t(x2,
% difference(B,
% quotient(
% quotient(
% difference(
% j(C),
% j(A)),
% j(C)),
% j(j(C))))),
% j(x2))))),
% difference(B,quotient(quotient(difference(
% j(C),j(A)),
% j(C)),j(j(C))))))),A),
% i(A))
% Current number of equations to process: 99
% Current number of ordered equations: 1
% Current number of rules: 1275
% New rule produced :
% [1811]
% quotient(quotient(difference(A,quotient(difference(difference(B,quotient(
% quotient(
% difference(
% j(C),
% j(A)),
% j(C)),
% j(j(C)))),
% difference(j(difference(B,quotient(
% quotient(
% difference(
% j(C),
% j(A)),
% j(C)),
% j(j(C))))),
% quotient(t(difference(B,quotient(
% quotient(
% difference(
% j(C),
% j(A)),
% j(C)),
% j(j(C)))),x2),
% j(difference(B,quotient(quotient(
% difference(
% j(C),
% j(A)),
% j(C)),
% j(j(C)))))))),
% quotient(difference(eta(A),difference(x2,
% difference(
% j(x2),quotient(
% t(x2,
% difference(B,
% quotient(
% quotient(
% difference(
% j(C),
% j(A)),
% j(C)),
% j(j(C))))),
% j(x2))))),
% difference(B,quotient(quotient(difference(
% j(C),j(A)),
% j(C)),j(j(C))))))),A),
% i(A)) <->
% difference(eta(A),difference(A,quotient(difference(quotient(quotient(
% difference(A,B),A),
% j(A)),quotient(quotient(
% difference(A,
% j(j(C))),A),
% j(A))),j(j(A)))))
% Current number of equations to process: 99
% Current number of ordered equations: 0
% Current number of rules: 1276
% New rule produced :
% [1812]
% t(eta(A),difference(B,difference(eta(A),difference(C,difference(j(C),
% quotient(t(C,difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,
% eta(A)),
% j(V_3))))),
% j(C))))))) <->
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% difference(
% eta(A),
% difference(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),C),
% j(
% eta(A))),
% eta(A)),
% difference(
% j(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),C),
% j(
% eta(A))),
% eta(A))),
% quotient(
% t(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),C),
% j(
% eta(A))),
% eta(A)),V_3),
% j(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),C),
% j(
% eta(A))),
% eta(A))))))),
% j(
% eta(A))))))))
% Current number of equations to process: 98
% Current number of ordered equations: 1
% Current number of rules: 1277
% New rule produced :
% [1813]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% difference(
% eta(A),
% difference(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),C),
% j(
% eta(A))),
% eta(A)),
% difference(
% j(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),C),
% j(
% eta(A))),
% eta(A))),
% quotient(
% t(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),C),
% j(
% eta(A))),
% eta(A)),V_3),
% j(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),C),
% j(
% eta(A))),
% eta(A))))))),
% j(
% eta(A))))))))
% <->
% t(eta(A),difference(B,difference(eta(A),difference(C,difference(j(C),
% quotient(t(C,difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,
% eta(A)),
% j(V_3))))),
% j(C)))))))
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 1278
% New rule produced :
% [1814]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A)),
% difference(j(quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))),
% quotient(t(quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A)),C),
% j(quotient(quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))))))),j(A)))),
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,eta(A)),
% j(C))))),
% j(B)))),eta(A))) -> j(j(A))
% Current number of equations to process: 97
% Current number of ordered equations: 0
% Current number of rules: 1279
% New rule produced :
% [1815]
% difference(j(eta(B)),quotient(difference(quotient(quotient(difference(
% eta(B),A),
% eta(B)),j(eta(B))),
% difference(j(quotient(quotient(difference(
% eta(B),A),
% eta(B)),j(eta(B)))),
% quotient(t(quotient(quotient(difference(
% eta(B),A),
% eta(B)),j(eta(B))),B),
% j(quotient(quotient(difference(eta(B),A),
% eta(B)),j(eta(B))))))),quotient(
% difference(
% eta(B),
% quotient(
% quotient(
% difference(
% eta(B),A),
% eta(B)),
% j(eta(B)))),
% quotient(
% quotient(
% difference(
% eta(B),A),
% eta(B)),
% j(eta(B))))))
% ->
% quotient(difference(A,difference(j(A),quotient(t(A,difference(j(j(B)),
% quotient(B,i(B)))),
% j(A)))),j(eta(B)))
% Current number of equations to process: 95
% Current number of ordered equations: 0
% Current number of rules: 1280
% New rule produced :
% [1816]
% quotient(quotient(difference(quotient(quotient(difference(j(C),eta(B)),j(C)),
% j(j(C))),difference(j(quotient(quotient(
% difference(
% j(C),eta(B)),
% j(C)),j(j(C)))),
% quotient(t(quotient(quotient(difference(
% j(C),
% eta(B)),
% j(C)),j(j(C))),
% difference(A,difference(
% j(A),quotient(
% t(A,
% eta(B)),
% j(A))))),
% j(quotient(quotient(difference(
% j(C),eta(B)),
% j(C)),j(j(C))))))),eta(B)),A)
% <->
% difference(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),
% difference(A,difference(j(A),quotient(t(A,quotient(difference(j(eta(B)),
% j(j(C))),j(eta(B)))),
% j(A)))))
% Current number of equations to process: 92
% Current number of ordered equations: 1
% Current number of rules: 1281
% New rule produced :
% [1817]
% difference(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),
% difference(A,difference(j(A),quotient(t(A,quotient(difference(j(eta(B)),
% j(j(C))),j(eta(B)))),
% j(A))))) <->
% quotient(quotient(difference(quotient(quotient(difference(j(C),eta(B)),j(C)),
% j(j(C))),difference(j(quotient(quotient(
% difference(
% j(C),eta(B)),
% j(C)),j(j(C)))),
% quotient(t(quotient(quotient(difference(
% j(C),
% eta(B)),
% j(C)),j(j(C))),
% difference(A,difference(
% j(A),quotient(
% t(A,
% eta(B)),
% j(A))))),
% j(quotient(quotient(difference(
% j(C),eta(B)),
% j(C)),j(j(C))))))),eta(B)),A)
% Current number of equations to process: 92
% Current number of ordered equations: 0
% Current number of rules: 1282
% New rule produced :
% [1818]
% quotient(difference(B,quotient(difference(i(difference(B,difference(j(B),
% quotient(t(B,C),
% j(B))))),difference(
% j(difference(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))))),
% quotient(A,
% j(difference(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))))))),
% difference(B,difference(j(B),quotient(t(B,C),j(B)))))),
% difference(A,difference(B,difference(j(B),quotient(t(B,C),j(B)))))) ->
% quotient(difference(B,difference(difference(B,difference(j(B),quotient(
% t(B,C),
% j(B)))),
% difference(j(difference(B,difference(j(B),quotient(
% t(B,C),
% j(B))))),
% quotient(t(difference(B,difference(j(B),quotient(
% t(B,C),
% j(B)))),
% difference(A,difference(B,difference(j(B),
% quotient(t(B,C),
% j(B)))))),j(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))))))),
% difference(A,difference(B,difference(j(B),quotient(t(B,C),j(B))))))
% Current number of equations to process: 91
% Current number of ordered equations: 0
% Current number of rules: 1283
% New rule produced :
% [1819]
% difference(difference(difference(j(j(C)),quotient(B,j(j(C)))),difference(
% j(difference(
% j(j(C)),
% quotient(B,
% j(j(C))))),
% quotient(
% t(difference(
% j(j(C)),
% quotient(B,
% j(j(C)))),A),
% j(difference(
% j(j(C)),
% quotient(B,
% j(j(C)))))))),
% quotient(difference(difference(j(j(C)),quotient(B,j(j(C)))),difference(
% j(difference(
% j(j(C)),
% quotient(B,
% j(j(C))))),
% quotient(
% t(difference(
% j(j(C)),
% quotient(B,
% j(j(C)))),x2),
% j(difference(
% j(j(C)),
% quotient(B,
% j(j(C)))))))),
% quotient(difference(j(j(C)),difference(x2,difference(j(x2),quotient(t(x2,
% difference(
% j(
% j(C)),
% quotient(B,
% j(
% j(C))))),
% j(x2))))),
% difference(j(j(C)),quotient(B,j(j(C))))))) ->
% quotient(difference(A,quotient(B,j(j(C)))),difference(j(j(C)),quotient(B,
% j(j(C)))))
% Current number of equations to process: 90
% Current number of ordered equations: 0
% Current number of rules: 1284
% New rule produced :
% [1820]
% quotient(quotient(difference(quotient(quotient(difference(j(C),B),j(C)),
% j(j(C))),difference(j(quotient(quotient(
% difference(
% j(C),B),j(C)),
% j(j(C)))),quotient(
% t(quotient(
% quotient(
% difference(
% j(C),B),
% j(C)),
% j(j(C))),
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(quotient(
% quotient(
% difference(
% j(C),B),
% j(C)),
% j(j(C))))))),B),A)
% <->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,difference(
% j(B),
% quotient(
% j(
% j(C)),
% j(B)))),
% j(A)))))
% Current number of equations to process: 89
% Current number of ordered equations: 1
% Current number of rules: 1285
% New rule produced :
% [1821]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,difference(
% j(B),
% quotient(
% j(
% j(C)),
% j(B)))),
% j(A))))) <->
% quotient(quotient(difference(quotient(quotient(difference(j(C),B),j(C)),
% j(j(C))),difference(j(quotient(quotient(
% difference(
% j(C),B),j(C)),
% j(j(C)))),quotient(
% t(quotient(
% quotient(
% difference(
% j(C),B),
% j(C)),
% j(j(C))),
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(quotient(
% quotient(
% difference(
% j(C),B),
% j(C)),
% j(j(C))))))),B),A)
% Current number of equations to process: 89
% Current number of ordered equations: 0
% Current number of rules: 1286
% New rule produced :
% [1822]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(
% eta(B),difference(
% j(
% eta(B)),
% quotient(C,
% j(
% eta(B)))))),
% j(A)))),difference(eta(B),
% difference(eta(B),
% difference(j(eta(B)),
% quotient(C,j(eta(B))))))),
% eta(B)) <->
% difference(difference(eta(B),difference(j(eta(B)),quotient(C,j(eta(B))))),
% quotient(quotient(difference(j(eta(B)),difference(difference(eta(B),difference(
% eta(B),
% difference(
% j(
% eta(B)),
% quotient(C,
% j(
% eta(B)))))),
% difference(j(difference(eta(B),
% difference(eta(B),
% difference(j(eta(B)),
% quotient(C,j(eta(B))))))),
% quotient(t(difference(eta(B),difference(
% eta(B),
% difference(
% j(
% eta(B)),
% quotient(C,
% j(
% eta(B)))))),A),
% j(difference(eta(B),difference(
% eta(B),difference(
% j(eta(B)),
% quotient(C,
% j(eta(B))))))))))),
% j(eta(B))),eta(B)))
% Current number of equations to process: 87
% Current number of ordered equations: 1
% Current number of rules: 1287
% New rule produced :
% [1823]
% difference(difference(eta(B),difference(j(eta(B)),quotient(C,j(eta(B))))),
% quotient(quotient(difference(j(eta(B)),difference(difference(eta(B),difference(
% eta(B),
% difference(
% j(
% eta(B)),
% quotient(C,
% j(
% eta(B)))))),
% difference(j(difference(eta(B),
% difference(eta(B),
% difference(j(eta(B)),
% quotient(C,j(eta(B))))))),
% quotient(t(difference(eta(B),difference(
% eta(B),
% difference(
% j(
% eta(B)),
% quotient(C,
% j(
% eta(B)))))),A),
% j(difference(eta(B),difference(
% eta(B),difference(
% j(eta(B)),
% quotient(C,
% j(eta(B))))))))))),
% j(eta(B))),eta(B))) <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(
% eta(B),difference(
% j(
% eta(B)),
% quotient(C,
% j(
% eta(B)))))),
% j(A)))),difference(eta(B),
% difference(eta(B),
% difference(j(eta(B)),
% quotient(C,j(eta(B))))))),
% eta(B))
% Current number of equations to process: 87
% Current number of ordered equations: 0
% Current number of rules: 1288
% New rule produced :
% [1824]
% difference(t(t(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(A,difference(j(A),quotient(t(A,difference(B,
% difference(j(B),
% quotient(t(B,C),
% j(B))))),j(A))))),A),
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))),B),A)),
% quotient(difference(C,difference(j(C),quotient(t(C,difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))),B)) ->
% t(quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(C)))),B),A),A)
% Current number of equations to process: 84
% Current number of ordered equations: 1
% Current number of rules: 1289
% New rule produced :
% [1825]
% difference(t(t(quotient(quotient(difference(A,difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),C),B),B),
% difference(difference(B,difference(j(B),quotient(t(B,C),j(B)))),
% difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))))),quotient(difference(A,
% difference(
% j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),C))
% ->
% t(quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(A)))),C),B),B)
% Current number of equations to process: 84
% Current number of ordered equations: 0
% Current number of rules: 1290
% New rule produced :
% [1826]
% difference(j(j(B)),quotient(difference(B,difference(j(B),quotient(t(B,
% quotient(
% difference(
% j(eta(B)),A),
% j(eta(B)))),
% j(B)))),eta(B))) ->
% A
% Current number of equations to process: 84
% Current number of ordered equations: 0
% Current number of rules: 1291
% Rule [1822]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(
% eta(B),
% difference(
% j(eta(B)),
% quotient(C,
% j(eta(B)))))),
% j(A)))),difference(
% eta(B),difference(
% eta(B),
% difference(
% j(
% eta(B)),
% quotient(C,
% j(
% eta(B))))))),
% eta(B)) <->
% difference(difference(eta(B),difference(j(eta(B)),quotient(C,j(eta(B))))),
% quotient(quotient(difference(j(eta(B)),difference(difference(eta(B),
% difference(eta(B),
% difference(j(eta(B)),
% quotient(C,j(eta(B)))))),
% difference(j(difference(eta(B),
% difference(eta(B),
% difference(j(eta(B)),
% quotient(C,j(eta(B))))))),
% quotient(t(difference(eta(B),
% difference(eta(B),
% difference(j(eta(B)),
% quotient(C,j(eta(B)))))),A),
% j(difference(eta(B),difference(
% eta(B),
% difference(
% j(eta(B)),
% quotient(C,
% j(eta(B))))))))))),
% j(eta(B))),eta(B))) is composed into [1822]
% quotient(quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,
% difference(
% eta(B),
% difference(
% j(eta(B)),
% quotient(C,
% j(eta(B)))))),
% j(A)))),
% difference(
% eta(B),difference(
% eta(B),
% difference(
% j(
% eta(B)),
% quotient(C,
% j(
% eta(B))))))),
% eta(B)) <->
% difference(difference(
% eta(B),
% difference(
% j(eta(B)),
% quotient(C,
% j(eta(B))))),
% difference(B,quotient(
% quotient(
% difference(
% j(B),
% difference(
% difference(
% eta(B),
% difference(
% eta(B),
% difference(
% j(eta(B)),
% quotient(C,
% j(eta(B)))))),
% difference(
% j(difference(
% eta(B),
% difference(
% eta(B),
% difference(
% j(eta(B)),
% quotient(C,
% j(eta(B))))))),
% quotient(
% t(difference(
% eta(B),
% difference(
% eta(B),
% difference(
% j(eta(B)),
% quotient(C,
% j(eta(B)))))),A),
% j(difference(
% eta(B),
% difference(
% eta(B),
% difference(
% j(eta(B)),
% quotient(C,
% j(eta(B))))))))))),
% j(B)),
% j(j(B)))))
% Rule [1812]
% t(eta(A),difference(B,difference(eta(A),difference(C,difference(
% j(C),quotient(
% t(C,difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,
% eta(A)),
% j(V_3))))),
% j(C))))))) <->
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),
% quotient(
% difference(
% eta(A),
% difference(
% quotient(
% quotient(
% difference(
% j(eta(A)),C),
% j(eta(A))),
% eta(A)),
% difference(
% j(quotient(
% quotient(
% difference(
% j(eta(A)),C),
% j(eta(A))),
% eta(A))),
% quotient(
% t(quotient(
% quotient(
% difference(
% j(eta(A)),C),
% j(eta(A))),
% eta(A)),V_3),
% j(quotient(
% quotient(
% difference(
% j(eta(A)),C),
% j(eta(A))),
% eta(A))))))),
% j(eta(A)))))))) is composed into
% [1812]
% t(eta(A),difference(B,difference(eta(A),difference(C,difference(j(C),
% quotient(t(C,difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,
% eta(A)),
% j(V_3))))),
% j(C))))))) <->
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% difference(
% eta(A),
% difference(
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),C),
% j(A)),
% j(
% j(A)))),
% difference(
% j(
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),C),
% j(A)),
% j(
% j(A))))),
% quotient(
% t(
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),C),
% j(A)),
% j(
% j(A)))),V_3),
% j(
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),C),
% j(A)),
% j(
% j(A))))))))),
% j(
% eta(A))))))))
% Rule [1791]
% t(eta(A),difference(quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))),difference(j(quotient(quotient(difference(
% j(B),
% eta(A)),
% j(B)),j(j(B)))),
% quotient(t(quotient(quotient(difference(
% j(B),eta(A)),
% j(B)),j(j(B))),C),
% j(quotient(quotient(difference(j(B),eta(A)),
% j(B)),j(j(B)))))))) <->
% difference(j(quotient(quotient(difference(j(eta(A)),j(j(B))),j(eta(A))),
% eta(A))),t(eta(A),quotient(quotient(C,quotient(quotient(
% difference(
% j(B),
% eta(A)),
% j(B)),
% j(j(B)))),j(quotient(
% quotient(
% difference(
% j(B),
% eta(A)),
% j(B)),
% j(
% j(B))))))) is composed into
% [1791]
% t(eta(A),difference(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% difference(j(quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B)))),quotient(t(quotient(quotient(difference(
% j(B),eta(A)),
% j(B)),j(j(B))),C),
% j(quotient(quotient(difference(j(B),eta(A)),
% j(B)),j(j(B)))))))) <->
% difference(j(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A))))),t(eta(A),quotient(quotient(C,quotient(
% quotient(
% difference(
% j(B),
% eta(A)),
% j(B)),
% j(j(B)))),
% j(quotient(quotient(difference(
% j(B),
% eta(A)),
% j(B)),j(j(B)))))))
% Rule [1789]
% t(eta(A),difference(t(A,B),difference(j(t(A,B)),quotient(t(t(A,B),
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,
% difference(
% quotient(
% eta(A),
% j(
% eta(A))),
% difference(
% j(
% quotient(
% eta(A),
% j(
% eta(A)))),
% quotient(
% t(
% quotient(
% eta(A),
% j(
% eta(A))),
% t(A,B)),
% j(
% quotient(
% eta(A),
% j(
% eta(A)))))))),
% j(A)))),
% t(A,B))),
% j(t(A,B)))))) ->
% quotient(quotient(difference(j(eta(A)),difference(A,difference(j(A),
% quotient(t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A))))),j(eta(A))),
% eta(A)) is composed into [1789]
% t(eta(A),difference(t(A,B),difference(j(t(A,B)),
% quotient(t(t(A,B),
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(
% quotient(
% eta(A),
% j(eta(A))),
% difference(
% j(quotient(
% eta(A),
% j(
% eta(A)))),
% quotient(
% t(quotient(
% eta(A),
% j(
% eta(A))),
% t(A,B)),
% j(quotient(
% eta(A),
% j(
% eta(A)))))))),
% j(A)))),
% t(A,B))),
% j(t(A,B)))))) ->
% difference(A,quotient(quotient(difference(
% j(A),difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A))))),
% j(A)),j(j(A))))
% Rule [1781]
% difference(difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A)))))))) <->
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(quotient(
% difference(
% j(eta(B)),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B))))),
% j(eta(B))),
% eta(B)),A)),j(A)))) is composed into
% [1781]
% difference(difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A)))))))) <->
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,quotient(
% quotient(
% difference(
% j(B),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B))))),
% j(B)),
% j(j(B)))),A)),
% j(A))))
% Rule [1764]
% t(eta(A),difference(B,difference(j(B),quotient(t(B,difference(C,
% difference(j(C),
% quotient(t(C,eta(A)),
% j(C))))),j(B))))) <->
% difference(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),
% difference(j(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),
% eta(A))),quotient(t(quotient(quotient(difference(j(eta(A)),B),
% j(eta(A))),eta(A)),C),
% j(quotient(quotient(difference(j(eta(A)),B),
% j(eta(A))),eta(A)))))) is composed into
% [1764]
% t(eta(A),difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,eta(A)),
% j(C))))),
% j(B))))) <->
% difference(difference(A,quotient(quotient(difference(j(A),B),j(A)),j(j(A)))),
% difference(j(difference(A,quotient(quotient(difference(j(A),B),j(A)),j(j(A))))),
% quotient(t(difference(A,quotient(quotient(difference(j(A),B),j(A)),j(j(A)))),C),
% j(difference(A,quotient(quotient(difference(j(A),B),j(A)),j(j(A))))))))
% Rule [1762]
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,
% i(
% i(A))),
% j(C)))),difference(
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% i(
% i(A))),
% j(C))))),
% quotient(
% t(difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% i(
% i(A))),
% j(C)))),B),
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% i(
% i(A))),
% j(C)))))))))
% <->
% quotient(quotient(quotient(difference(j(eta(A)),difference(A,difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),
% j(eta(A))),eta(A)),C) is composed into [1762]
% difference(C,
% difference(
% difference(C,
% difference(
% j(C),quotient(
% t(C,
% i(
% i(A))),
% j(C)))),
% difference(
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,i(i(A))),
% j(C))))),
% quotient(
% t(difference(C,
% difference(
% j(C),
% quotient(
% t(C,i(i(A))),
% j(C)))),B),
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,i(i(A))),
% j(C)))))))))
% <->
% quotient(
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),
% j(A)),j(j(A)))),C)
% Rule [1756]
% t(eta(A),quotient(B,difference(eta(A),difference(C,difference(j(C),
% quotient(t(C,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,
% eta(A)),
% j(V_3))))),
% j(C))))))) <->
% quotient(t(eta(A),B),difference(eta(A),difference(quotient(quotient(
% difference(
% j(eta(A)),C),
% j(eta(A))),
% eta(A)),difference(
% j(quotient(
% quotient(
% difference(
% j(eta(A)),C),
% j(eta(A))),
% eta(A))),
% quotient(
% t(quotient(
% quotient(
% difference(
% j(eta(A)),C),
% j(eta(A))),
% eta(A)),V_3),
% j(quotient(
% quotient(
% difference(
% j(eta(A)),C),
% j(eta(A))),
% eta(A)))))))) is composed into
% [1756]
% t(eta(A),quotient(B,difference(eta(A),difference(C,difference(j(C),quotient(
% t(C,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,
% eta(A)),
% j(V_3))))),
% j(C)))))))
% <->
% quotient(t(eta(A),B),difference(eta(A),difference(difference(A,quotient(
% quotient(
% difference(
% j(A),C),
% j(A)),
% j(j(A)))),
% difference(j(difference(A,quotient(
% quotient(
% difference(
% j(A),C),
% j(A)),
% j(j(A))))),
% quotient(t(difference(A,quotient(
% quotient(
% difference(
% j(A),C),
% j(A)),
% j(j(A)))),V_3),
% j(difference(A,quotient(quotient(
% difference(
% j(A),C),
% j(A)),
% j(j(A))))))))))
% Rule [1751]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),i(i(C))),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))) <->
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(j(B),
% quotient(t(B,
% quotient(
% quotient(
% difference(
% j(eta(C)),
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(eta(C))),
% eta(C))),
% j(B)))),A)),j(A)))) is composed into
% [1751]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% i(i(C))),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% <->
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,difference(C,
% quotient(
% quotient(
% difference(
% j(C),
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(C)),
% j(
% j(C))))),
% j(B)))),A)),
% j(A))))
% Rule [1741]
% difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),quotient(
% t(B,
% i(A)),
% j(B))))),
% j(A)))) <->
% quotient(difference(x2,difference(j(x2),quotient(difference(i(A),
% quotient(quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))),j(x2)))),
% quotient(difference(i(A),difference(x2,difference(j(x2),quotient(
% t(x2,difference(
% i(A),
% quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A)))),
% j(x2))))),
% difference(i(A),quotient(quotient(difference(j(eta(A)),B),j(eta(A))),
% eta(A))))) is composed into [1741]
% difference(A,difference(
% j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% i(A)),
% j(B))))),
% j(A))))
% <->
% quotient(difference(x2,
% difference(
% j(x2),quotient(
% difference(
% i(A),
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A))))),
% j(x2)))),
% quotient(difference(
% i(A),difference(x2,
% difference(
% j(x2),
% quotient(
% t(x2,difference(
% i(A),
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(
% j(A)))))),
% j(x2))))),
% difference(i(A),difference(A,
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A)))))))
% Rule [1734]
% quotient(difference(B,quotient(quotient(difference(C,difference(
% j(C),quotient(
% t(C,eta(A)),
% j(C)))),
% j(B)),j(j(B)))),eta(A)) <->
% difference(eta(A),difference(quotient(quotient(difference(j(eta(A)),
% i(B)),j(eta(A))),
% eta(A)),difference(j(quotient(quotient(
% difference(
% j(eta(A)),
% i(B)),
% j(eta(A))),
% eta(A))),quotient(
% t(quotient(
% quotient(
% difference(
% j(eta(A)),
% i(B)),
% j(eta(A))),
% eta(A)),C),
% j(quotient(
% quotient(
% difference(
% j(eta(A)),
% i(B)),
% j(eta(A))),
% eta(A))))))) is composed into
% [1734]
% quotient(difference(B,quotient(quotient(difference(C,difference(j(C),
% quotient(t(C,eta(A)),
% j(C)))),j(B)),j(j(B)))),
% eta(A)) <->
% difference(eta(A),difference(difference(A,quotient(quotient(difference(
% j(A),i(B)),
% j(A)),j(j(A)))),difference(
% j(
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),
% i(B)),
% j(A)),
% j(
% j(A))))),
% quotient(
% t(
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),
% i(B)),
% j(A)),
% j(
% j(A)))),C),
% j(
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),
% i(B)),
% j(A)),
% j(
% j(A)))))))))
% Rule [1731]
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,A),
% j(C)))),difference(
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% quotient(
% t(difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C)))),
% i(i(B))),
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C)))))))))
% <->
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(quotient(
% difference(
% j(eta(B)),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(eta(B))),
% eta(B))),j(A)))),C) is composed into
% [1731]
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,A),j(C)))),
% difference(j(difference(C,difference(j(C),quotient(t(C,A),j(C))))),
% quotient(t(difference(C,difference(j(C),quotient(t(C,A),j(C)))),
% i(i(B))),j(difference(C,difference(j(C),quotient(
% t(C,A),
% j(C)))))))))
% <->
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,quotient(
% quotient(
% difference(
% j(B),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(B)),
% j(j(B))))),
% j(A)))),C)
% Rule [1730]
% quotient(quotient(quotient(difference(B,difference(C,difference(
% j(C),quotient(
% t(C,eta(A)),
% j(C))))),B),
% j(B)),eta(A)) <->
% difference(eta(A),difference(quotient(quotient(difference(j(eta(A)),
% j(B)),j(eta(A))),
% eta(A)),difference(j(quotient(quotient(
% difference(
% j(eta(A)),
% j(B)),
% j(eta(A))),
% eta(A))),quotient(
% t(quotient(
% quotient(
% difference(
% j(eta(A)),
% j(B)),
% j(eta(A))),
% eta(A)),C),
% j(quotient(
% quotient(
% difference(
% j(eta(A)),
% j(B)),
% j(eta(A))),
% eta(A))))))) is composed into
% [1730]
% quotient(quotient(quotient(difference(B,difference(C,difference(j(C),
% quotient(t(C,eta(A)),
% j(C))))),B),j(B)),
% eta(A)) <->
% difference(eta(A),difference(difference(A,quotient(quotient(difference(
% j(A),j(B)),
% j(A)),j(j(A)))),difference(
% j(
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),
% j(B)),
% j(A)),
% j(
% j(A))))),
% quotient(
% t(
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),
% j(B)),
% j(A)),
% j(
% j(A)))),C),
% j(
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),
% j(B)),
% j(A)),
% j(
% j(A)))))))))
% Rule [1713]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,
% difference(j(C),
% quotient(t(C,eta(A)),
% j(C))))),j(B)))),
% eta(A)) <->
% difference(eta(A),difference(quotient(quotient(difference(j(eta(A)),B),
% j(eta(A))),eta(A)),difference(
% j(quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))),
% quotient(
% t(quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A)),C),
% j(quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))))))) is composed into
% [1713]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,eta(A)),
% j(C))))),
% j(B)))),eta(A)) <->
% difference(eta(A),difference(difference(A,quotient(quotient(difference(
% j(A),B),j(A)),
% j(j(A)))),difference(j(difference(A,
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A))))),
% quotient(t(difference(A,
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A)))),C),
% j(difference(A,quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(
% j(A)))))))))
% Rule [1701]
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,
% eta(A)),
% j(C)))),difference(
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% eta(A)),
% j(C))))),
% quotient(
% t(difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% eta(A)),
% j(C)))),B),
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% eta(A)),
% j(C)))))))))
% <->
% quotient(quotient(quotient(difference(j(eta(A)),difference(B,difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(eta(A))),eta(A)),C) is composed into [1701]
% difference(C,
% difference(
% difference(C,
% difference(
% j(C),quotient(
% t(C,
% eta(A)),
% j(C)))),
% difference(
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,eta(A)),
% j(C))))),
% quotient(
% t(difference(C,
% difference(
% j(C),
% quotient(
% t(C,eta(A)),
% j(C)))),B),
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,eta(A)),
% j(C)))))))))
% <->
% quotient(
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)),j(j(A)))),C)
% Rule [1695]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(difference(
% j(B),C),
% j(B)),j(j(B)))),
% j(A))))) <->
% quotient(quotient(difference(quotient(quotient(difference(j(eta(B)),C),
% j(eta(B))),eta(B)),difference(
% j(quotient(
% quotient(
% difference(
% j(eta(B)),C),
% j(eta(B))),
% eta(B))),
% quotient(
% t(quotient(
% quotient(
% difference(
% j(eta(B)),C),
% j(eta(B))),
% eta(B)),
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(quotient(
% quotient(
% difference(
% j(eta(B)),C),
% j(eta(B))),
% eta(B)))))),B),A) is composed into
% [1695]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,quotient(
% quotient(
% difference(
% j(B),C),
% j(B)),
% j(
% j(B)))),
% j(A))))) <->
% quotient(quotient(difference(difference(B,quotient(quotient(difference(
% j(B),C),j(B)),
% j(j(B)))),difference(j(difference(B,
% quotient(
% quotient(
% difference(
% j(B),C),
% j(B)),
% j(j(B))))),
% quotient(t(difference(B,
% quotient(
% quotient(
% difference(
% j(B),C),
% j(B)),
% j(j(B)))),
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(difference(B,quotient(
% quotient(
% difference(
% j(B),C),
% j(B)),
% j(
% j(B)))))))),B),A)
% Rule [1660]
% difference(i(C),difference(difference(C,quotient(quotient(A,j(C)),
% j(j(C)))),difference(j(difference(C,
% quotient(
% quotient(A,
% j(C)),
% j(
% j(C))))),
% quotient(t(difference(C,
% quotient(
% quotient(A,
% j(C)),
% j(j(C)))),
% eta(B)),
% j(difference(C,
% quotient(quotient(A,
% j(C)),
% j(j(C))))))))) <->
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(quotient(
% difference(
% j(eta(B)),
% i(C)),
% j(eta(B))),
% eta(B))),j(A)))),
% i(C)) is composed into [1660]
% difference(i(C),difference(difference(C,quotient(
% quotient(A,
% j(C)),
% j(
% j(C)))),
% difference(j(difference(C,
% quotient(quotient(A,
% j(C)),
% j(j(C))))),quotient(
% t(
% difference(C,
% quotient(
% quotient(A,
% j(C)),
% j(
% j(C)))),
% eta(B)),
% j(
% difference(C,
% quotient(
% quotient(A,
% j(C)),
% j(
% j(C)))))))))
% <->
% quotient(difference(A,difference(j(A),quotient(
% t(A,
% difference(B,
% quotient(
% quotient(
% difference(
% j(B),
% i(C)),
% j(B)),
% j(j(B))))),
% j(A)))),
% i(C))
% Rule [1654]
% difference(j(C),difference(quotient(quotient(difference(C,A),C),j(C)),
% difference(j(quotient(quotient(difference(C,A),C),j(C))),
% quotient(t(quotient(quotient(difference(C,A),C),j(C)),
% eta(B)),j(quotient(quotient(difference(C,A),C),
% j(C))))))) <->
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(quotient(
% difference(
% j(eta(B)),
% j(C)),
% j(eta(B))),
% eta(B))),j(A)))),
% j(C)) is composed into [1654]
% difference(j(C),difference(quotient(quotient(
% difference(C,A),C),
% j(C)),difference(
% j(quotient(
% quotient(
% difference(C,A),C),
% j(C))),
% quotient(
% t(quotient(
% quotient(
% difference(C,A),C),
% j(C)),
% eta(B)),
% j(quotient(
% quotient(
% difference(C,A),C),
% j(C))))))) <->
% quotient(difference(A,difference(j(A),quotient(
% t(A,
% difference(B,
% quotient(
% quotient(
% difference(
% j(B),
% j(C)),
% j(B)),
% j(j(B))))),
% j(A)))),
% j(C))
% Rule [1610]
% quotient(quotient(quotient(quotient(difference(C,difference(A,difference(
% j(A),
% quotient(
% t(A,
% eta(B)),
% j(A))))),C),
% j(C)),eta(B)),A) <->
% difference(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(difference(
% j(eta(B)),
% j(C)),
% j(eta(B))),eta(B))),
% j(A))))) is composed into [1610]
% quotient(
% quotient(
% quotient(
% quotient(
% difference(C,
% difference(A,
% difference(
% j(A),quotient(
% t(A,
% eta(B)),
% j(A))))),C),
% j(C)),eta(B)),A)
% <->
% difference(
% difference(A,
% difference(
% j(A),quotient(
% t(A,
% eta(B)),
% j(A)))),
% difference(A,
% difference(
% j(A),quotient(
% t(A,
% difference(B,
% quotient(
% quotient(
% difference(
% j(B),
% j(C)),
% j(B)),
% j(j(B))))),
% j(A)))))
% Rule [1600]
% t(eta(A),difference(quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))),j(eta(A)))) <->
% difference(quotient(quotient(difference(j(eta(A)),j(j(B))),j(eta(A))),
% eta(A)),j(eta(A))) is composed into [1600]
% t(eta(A),difference(
% quotient(
% quotient(
% difference(
% j(B),eta(A)),
% j(B)),j(j(B))),
% j(eta(A)))) <->
% difference(difference(A,
% quotient(
% quotient(
% difference(
% j(A),j(j(B))),
% j(A)),
% j(j(A)))),
% j(eta(A)))
% Rule [1594]
% quotient(quotient(difference(C,quotient(quotient(difference(A,difference(
% j(A),
% quotient(
% t(A,
% eta(B)),
% j(A)))),
% j(C)),j(j(C)))),eta(B)),A) <->
% difference(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(difference(
% j(eta(B)),
% i(C)),
% j(eta(B))),eta(B))),
% j(A))))) is composed into [1594]
% quotient(
% quotient(
% difference(C,
% quotient(
% quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,
% eta(B)),
% j(A)))),
% j(C)),j(j(C)))),
% eta(B)),A) <->
% difference(
% difference(A,
% difference(
% j(A),quotient(
% t(A,
% eta(B)),
% j(A)))),
% difference(A,
% difference(
% j(A),quotient(
% t(A,
% difference(B,
% quotient(
% quotient(
% difference(
% j(B),
% i(C)),
% j(B)),
% j(j(B))))),
% j(A)))))
% Rule [1590]
% t(eta(A),difference(quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))),eta(A))) <->
% difference(quotient(quotient(difference(j(eta(A)),j(j(B))),j(eta(A))),
% eta(A)),eta(A)) is composed into [1590]
% t(eta(A),difference(
% quotient(quotient(
% difference(
% j(B),
% eta(A)),
% j(B)),
% j(j(B))),eta(A)))
% <->
% difference(difference(A,
% quotient(
% quotient(
% difference(
% j(A),j(j(B))),
% j(A)),j(j(A)))),
% eta(A))
% Rule [1577]
% difference(A,difference(eta(A),difference(j(eta(A)),quotient(i(i(
% t(
% eta(A),B))),
% j(eta(A)))))) <->
% quotient(quotient(quotient(difference(A,quotient(quotient(difference(
% j(eta(B)),
% difference(B,
% difference(
% j(B),quotient(
% t(B,A),
% j(B))))),
% j(eta(B))),eta(B))),A),
% j(A)),A) is composed into [1577]
% difference(A,difference(eta(A),
% difference(j(eta(A)),
% quotient(i(i(t(eta(A),B))),
% j(eta(A)))))) <->
% quotient(quotient(quotient(difference(A,
% difference(B,
% quotient(
% quotient(
% difference(
% j(B),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,A),
% j(B))))),
% j(B)),
% j(
% j(B))))),A),
% j(A)),A)
% Rule [1564]
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% eta(B)),
% j(A))))),
% j(C)))),eta(B)),A) <->
% difference(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(difference(
% j(eta(B)),C),
% j(eta(B))),eta(B))),
% j(A))))) is composed into [1564]
% quotient(
% quotient(
% difference(C,
% difference(
% j(C),quotient(
% t(C,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% eta(B)),
% j(A))))),
% j(C)))),
% eta(B)),A) <->
% difference(
% difference(A,
% difference(
% j(A),quotient(
% t(A,
% eta(B)),
% j(A)))),
% difference(A,
% difference(
% j(A),quotient(
% t(A,
% difference(B,
% quotient(
% quotient(
% difference(
% j(B),C),
% j(B)),
% j(j(B))))),
% j(A)))))
% Rule [1556]
% difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),B))),
% j(eta(A))))) ->
% quotient(quotient(difference(j(eta(A)),j(j(B))),j(eta(A))),eta(A)) is composed into
% [1556]
% difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),B))),j(eta(A)))))
% -> difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),j(j(A))))
% Rule [1554]
% quotient(difference(j(A),quotient(i(i(B)),j(A))),A) <->
% t(A,quotient(quotient(difference(j(eta(B)),difference(B,difference(
% j(B),quotient(
% t(B,A),
% j(B))))),
% j(eta(B))),eta(B))) is composed into [1554]
% quotient(difference(
% j(A),
% quotient(
% i(i(B)),
% j(A))),A) <->
% t(A,difference(B,
% quotient(quotient(
% difference(
% j(B),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,A),
% j(B))))),
% j(B)),
% j(j(B)))))
% Rule [1544]
% quotient(quotient(t(eta(A),difference(B,difference(j(B),quotient(
% t(B,quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% t(eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B)))))),
% j(C)))),B)),
% j(B))))),C),B)
% <->
% quotient(quotient(quotient(quotient(difference(j(eta(A)),difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(eta(A))),eta(A)),C),B) is composed into
% [1544]
% quotient(quotient(t(eta(A),difference(B,difference(j(B),quotient(t(B,
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% t(eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B)))))),
% j(C)))),B)),
% j(B))))),C),B) <->
% quotient(quotient(difference(A,quotient(quotient(difference(j(A),difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)),j(j(A)))),C),B)
% Rule [1537]
% t(eta(A),difference(B,difference(j(B),quotient(t(B,difference(C,
% difference(j(C),
% quotient(t(C,eta(A)),
% j(C))))),j(B))))) <->
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),
% quotient(
% difference(
% j(t(eta(A),B)),
% quotient(
% t(t(eta(A),B),
% quotient(
% quotient(
% difference(
% j(eta(A)),C),
% j(eta(A))),
% eta(A))),
% j(t(eta(A),B)))),
% j(eta(A)))))))) is composed into
% [1537]
% t(eta(A),difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,eta(A)),
% j(C))))),
% j(B))))) <->
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% difference(
% j(
% t(
% eta(A),B)),
% quotient(
% t(
% t(
% eta(A),B),
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),C),
% j(A)),
% j(
% j(A))))),
% j(
% t(
% eta(A),B)))),
% j(
% eta(A))))))))
% Rule [1533]
% t(eta(A),difference(B,difference(eta(A),difference(C,quotient(quotient(
% difference(
% j(V_3),
% eta(A)),
% j(V_3)),
% j(j(V_3))))))) <->
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),
% quotient(
% difference(
% quotient(
% quotient(
% difference(
% j(eta(A)),C),
% j(eta(A))),
% eta(A)),
% quotient(
% quotient(
% difference(
% j(eta(A)),
% j(j(V_3))),
% j(eta(A))),
% eta(A))),
% j(eta(A)))))))) is composed into
% [1533]
% t(eta(A),difference(B,difference(eta(A),difference(C,quotient(quotient(
% difference(
% j(V_3),
% eta(A)),
% j(V_3)),
% j(j(V_3))))))) <->
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% difference(
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),C),
% j(A)),
% j(
% j(A)))),
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),
% j(
% j(V_3))),
% j(A)),
% j(
% j(A))))),
% j(
% eta(A))))))))
% Rule [1531]
% t(eta(A),quotient(B,difference(eta(A),difference(C,quotient(quotient(
% difference(
% j(V_3),
% eta(A)),
% j(V_3)),
% j(j(V_3))))))) <->
% quotient(t(eta(A),B),difference(quotient(quotient(difference(j(eta(A)),C),
% j(eta(A))),eta(A)),quotient(
% quotient(
% difference(
% j(eta(A)),
% j(j(V_3))),
% j(eta(A))),
% eta(A)))) is composed into
% [1531]
% t(eta(A),quotient(B,difference(eta(A),difference(C,quotient(quotient(
% difference(
% j(V_3),eta(A)),
% j(V_3)),j(j(V_3)))))))
% <->
% quotient(t(eta(A),B),difference(difference(A,quotient(quotient(difference(
% j(A),C),
% j(A)),j(j(A)))),
% difference(A,quotient(quotient(difference(j(A),j(j(V_3))),
% j(A)),j(j(A))))))
% Rule [1507]
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,j(j(j(A)))),
% j(B)))),eta(A)),j(A)) <->
% difference(j(j(j(A))),quotient(quotient(difference(A,quotient(quotient(
% difference(
% j(
% eta(A)),B),
% j(
% eta(A))),
% eta(A))),A),
% j(A))) is composed into [1507]
% quotient(quotient(
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% j(j(j(A)))),
% j(B)))),
% eta(A)),j(A)) <->
% difference(j(j(j(A))),
% quotient(quotient(
% difference(A,
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),B),j(A)),
% j(j(A))))),A),
% j(A)))
% Rule [1472]
% difference(difference(C,difference(j(C),quotient(t(C,A),j(C)))),
% difference(C,difference(j(C),quotient(t(C,i(i(B))),j(C))))) <->
% quotient(difference(A,quotient(quotient(difference(j(eta(B)),difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(eta(B))),eta(B))),C) is composed into
% [1472]
% difference(difference(C,difference(j(C),quotient(t(C,A),j(C)))),difference(C,
% difference(
% j(C),
% quotient(
% t(C,i(i(B))),
% j(C))))) <->
% quotient(difference(A,difference(B,quotient(quotient(difference(j(B),
% difference(B,difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(B)),j(j(B))))),C)
% Rule [1470]
% difference(A,quotient(quotient(quotient(difference(A,difference(
% j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% i(A)),
% j(B))))),
% j(A)))),
% i(A)),j(A)),j(j(A)))) <->
% quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)) is composed into
% [1470]
% difference(A,quotient(quotient(quotient(difference(A,difference(j(A),
% quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% i(A)),
% j(B))))),
% j(A)))),i(A)),j(A)),
% j(j(A)))) ->
% difference(A,quotient(quotient(difference(j(A),B),j(A)),j(j(A))))
% Rule [1465]
% quotient(difference(j(B),difference(j(j(j(B))),quotient(quotient(
% difference(B,
% quotient(
% quotient(
% difference(B,A),B),
% j(B))),B),
% j(B)))),A) <->
% quotient(quotient(quotient(quotient(difference(j(eta(B)),difference(A,
% difference(
% j(A),quotient(
% t(A,
% j(B)),
% j(A))))),
% j(eta(B))),eta(B)),j(B)),A) is composed into
% [1465]
% quotient(difference(j(B),difference(j(j(j(B))),quotient(quotient(difference(B,
% quotient(
% quotient(
% difference(B,A),B),
% j(B))),B),
% j(B)))),A) <->
% quotient(quotient(difference(B,quotient(quotient(difference(j(B),difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% j(B)),
% j(A))))),
% j(B)),j(j(B)))),j(B)),A)
% Rule [1450]
% quotient(quotient(difference(j(B),quotient(eta(A),j(B))),B),eta(A)) <->
% quotient(t(B,quotient(quotient(difference(j(eta(A)),B),j(eta(A))),
% eta(A))),eta(A)) is composed into [1450]
% quotient(quotient(
% difference(
% j(B),quotient(
% eta(A),
% j(B))),B),
% eta(A)) <->
% quotient(t(B,difference(A,
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A))))),
% eta(A))
% Rule [1447]
% quotient(quotient(quotient(difference(A,difference(B,difference(
% j(B),quotient(
% t(B,A),
% j(B))))),A),
% j(A)),A) <->
% difference(A,quotient(quotient(difference(j(eta(A)),B),j(eta(A))),
% eta(A))) is composed into [1447]
% quotient(quotient(quotient(
% difference(A,
% difference(B,
% difference(
% j(B),quotient(
% t(B,A),
% j(B))))),A),
% j(A)),A) <->
% difference(A,difference(A,
% quotient(quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A)))))
% Rule [1419]
% difference(eta(A),difference(j(eta(A)),quotient(i(i(t(eta(A),B))),
% j(eta(A))))) <->
% t(eta(A),quotient(quotient(difference(j(eta(B)),difference(B,difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(eta(B))),eta(B))) is composed into [1419]
% difference(
% eta(A),difference(
% j(
% eta(A)),
% quotient(
% i(
% i(
% t(
% eta(A),B))),
% j(
% eta(A)))))
% <->
% t(eta(A),
% difference(B,
% quotient(
% quotient(
% difference(
% j(B),difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(B)),j(j(B)))))
% Rule [1414]
% quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))) <->
% difference(eta(A),difference(eta(A),difference(j(eta(A)),quotient(
% quotient(
% quotient(
% difference(
% j(eta(A)),
% j(j(B))),
% j(eta(A))),
% eta(A)),
% j(eta(A)))))) is composed into
% [1414]
% quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))) <->
% difference(eta(A),difference(eta(A),difference(j(eta(A)),quotient(difference(A,
% quotient(
% quotient(
% difference(
% j(A),
% j(j(B))),
% j(A)),
% j(j(A)))),
% j(eta(A))))))
% Rule [1410]
% t(i(A),quotient(difference(A,difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),quotient(
% t(B,
% i(A)),
% j(B))))),
% j(A)))),i(A))) <->
% quotient(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),
% i(A)) is composed into [1410]
% t(i(A),quotient(difference(A,difference(j(A),
% quotient(t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% i(A)),
% j(B))))),
% j(A)))),i(A))) ->
% quotient(difference(A,quotient(quotient(difference(
% j(A),B),
% j(A)),j(j(A)))),
% i(A))
% Rule [1405]
% quotient(quotient(quotient(difference(A,quotient(quotient(difference(
% j(B),A),
% j(B)),j(j(B)))),A),
% j(A)),A) <->
% difference(A,quotient(quotient(difference(j(eta(A)),j(j(B))),j(eta(A))),
% eta(A))) is composed into [1405]
% quotient(quotient(quotient(
% difference(A,
% quotient(
% quotient(
% difference(
% j(B),A),
% j(B)),j(j(B)))),A),
% j(A)),A) <->
% difference(A,difference(A,
% quotient(quotient(
% difference(
% j(A),
% j(j(B))),
% j(A)),
% j(j(A)))))
% Rule [1398]
% difference(eta(A),difference(quotient(eta(A),j(eta(A))),difference(
% j(quotient(
% eta(A),
% j(eta(A)))),
% quotient(
% t(quotient(
% eta(A),
% j(eta(A))),B),
% j(quotient(
% eta(A),
% j(eta(A))))))))
% -> quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)) is composed into
% [1398]
% difference(eta(A),difference(quotient(eta(A),j(eta(A))),difference(j(
% quotient(
% eta(A),
% j(
% eta(A)))),
% quotient(t(quotient(
% eta(A),
% j(
% eta(A))),B),
% j(quotient(eta(A),
% j(eta(A)))))))) ->
% difference(A,quotient(quotient(difference(j(A),B),j(A)),j(j(A))))
% Rule [1368]
% quotient(quotient(difference(j(j(A)),B),A),j(A)) ->
% quotient(quotient(difference(A,quotient(quotient(difference(j(eta(A)),B),
% j(eta(A))),eta(A))),A),j(A)) is composed into
% [1368]
% quotient(quotient(difference(j(j(A)),B),A),j(A)) ->
% quotient(quotient(difference(A,difference(A,quotient(quotient(difference(
% j(A),B),
% j(A)),j(j(A))))),A),
% j(A))
% Rule [1338]
% t(eta(A),difference(quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))),difference(eta(A),C))) <->
% difference(quotient(quotient(difference(j(eta(A)),j(j(B))),j(eta(A))),
% eta(A)),quotient(C,eta(A))) is composed into [1338]
% t(eta(A),
% difference(
% quotient(
% quotient(
% difference(
% j(B),eta(A)),
% j(B)),j(j(B))),
% difference(
% eta(A),C))) <->
% difference(
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),j(j(B))),
% j(A)),j(j(A)))),
% quotient(C,
% eta(A)))
% Rule [1336]
% t(eta(A),quotient(quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))),difference(eta(A),C))) <->
% quotient(quotient(quotient(difference(j(eta(A)),j(j(B))),j(eta(A))),
% eta(A)),quotient(C,eta(A))) is composed into [1336]
% t(eta(A),quotient(
% quotient(
% quotient(
% difference(
% j(B),
% eta(A)),
% j(B)),
% j(
% j(B))),
% difference(
% eta(A),C)))
% <->
% quotient(difference(A,
% quotient(
% quotient(
% difference(
% j(A),
% j(
% j(B))),
% j(A)),
% j(
% j(A)))),
% quotient(C,
% eta(A)))
% Rule [1335]
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,A),j(B)))),
% eta(A)),i(i(A))) <->
% difference(A,difference(i(A),quotient(quotient(quotient(quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A)),A),j(A)))) is composed into
% [1335]
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,A),j(B)))),
% eta(A)),i(i(A))) <->
% difference(A,difference(i(A),quotient(quotient(difference(A,quotient(
% quotient(
% difference(
% j(A),B),j(A)),
% j(j(A)))),A),
% j(A))))
% Rule [1318]
% t(eta(A),t(B,quotient(quotient(difference(j(C),eta(A)),j(C)),j(j(C)))))
% <->
% t(t(eta(A),B),quotient(quotient(difference(j(eta(A)),j(j(C))),j(eta(A))),
% eta(A))) is composed into [1318]
% t(eta(A),t(B,quotient(quotient(
% difference(
% j(C),
% eta(A)),
% j(C)),
% j(j(C))))) <->
% t(t(eta(A),B),difference(A,
% quotient(quotient(
% difference(
% j(A),
% j(
% j(C))),
% j(A)),
% j(j(A)))))
% Rule [1317]
% t(eta(A),t(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),C))
% <->
% t(quotient(quotient(difference(j(eta(A)),j(j(B))),j(eta(A))),eta(A)),
% t(eta(A),C)) is composed into [1317]
% t(eta(A),t(quotient(quotient(difference(
% j(B),
% eta(A)),
% j(B)),j(j(B))),C)) <->
% t(difference(A,quotient(quotient(difference(
% j(A),
% j(
% j(B))),
% j(A)),j(j(A)))),
% t(eta(A),C))
% Rule [1315]
% t(eta(A),difference(j(eta(A)),quotient(quotient(difference(j(B),eta(A)),
% j(B)),j(j(B))))) <->
% difference(j(eta(A)),quotient(quotient(difference(j(eta(A)),j(j(B))),
% j(eta(A))),eta(A))) is composed into
% [1315]
% t(eta(A),difference(j(eta(A)),quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))))) <->
% difference(j(eta(A)),difference(A,quotient(quotient(difference(j(A),j(j(B))),
% j(A)),j(j(A)))))
% Rule [1313]
% t(eta(A),quotient(j(eta(A)),quotient(quotient(difference(j(B),eta(A)),
% j(B)),j(j(B))))) <->
% quotient(j(eta(A)),quotient(quotient(difference(j(eta(A)),j(j(B))),
% j(eta(A))),eta(A))) is composed into
% [1313]
% t(eta(A),quotient(j(eta(A)),quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))))) <->
% quotient(j(eta(A)),difference(A,quotient(quotient(difference(j(A),j(j(B))),
% j(A)),j(j(A)))))
% Rule [1311]
% t(eta(A),quotient(quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))),j(eta(A)))) <->
% quotient(quotient(quotient(difference(j(eta(A)),j(j(B))),j(eta(A))),
% eta(A)),j(eta(A))) is composed into [1311]
% t(eta(A),quotient(quotient(
% quotient(
% difference(
% j(B),
% eta(A)),
% j(B)),
% j(
% j(B))),
% j(eta(A)))) <->
% quotient(difference(A,
% quotient(quotient(
% difference(
% j(A),
% j(
% j(B))),
% j(A)),
% j(j(A)))),
% j(eta(A)))
% Rule [1308]
% t(eta(A),quotient(B,quotient(quotient(difference(j(C),eta(A)),j(C)),
% j(j(C))))) <->
% quotient(t(eta(A),B),quotient(quotient(difference(j(eta(A)),j(j(C))),
% j(eta(A))),eta(A))) is composed into
% [1308]
% t(eta(A),quotient(B,quotient(quotient(difference(j(C),eta(A)),j(C)),j(j(C)))))
% <->
% quotient(t(eta(A),B),difference(A,quotient(quotient(difference(j(A),j(j(C))),
% j(A)),j(j(A)))))
% Rule [1307]
% t(eta(A),quotient(quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))),C)) <->
% quotient(quotient(quotient(difference(j(eta(A)),j(j(B))),j(eta(A))),
% eta(A)),t(eta(A),C)) is composed into [1307]
% t(eta(A),quotient(
% quotient(
% quotient(
% difference(
% j(B),eta(A)),
% j(B)),j(j(B))),C))
% <->
% quotient(difference(A,
% quotient(
% quotient(
% difference(
% j(A),j(j(B))),
% j(A)),j(j(A)))),
% t(eta(A),C))
% Rule [1304]
% t(eta(A),difference(B,quotient(quotient(difference(j(C),eta(A)),j(C)),
% j(j(C))))) <->
% difference(t(eta(A),B),quotient(quotient(difference(j(eta(A)),j(j(C))),
% j(eta(A))),eta(A))) is composed into
% [1304]
% t(eta(A),difference(B,quotient(quotient(difference(j(C),eta(A)),j(C)),
% j(j(C))))) <->
% difference(t(eta(A),B),difference(A,quotient(quotient(difference(j(A),
% j(j(C))),j(A)),
% j(j(A)))))
% Rule [1303]
% t(eta(A),difference(quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))),C)) <->
% difference(quotient(quotient(difference(j(eta(A)),j(j(B))),j(eta(A))),
% eta(A)),t(eta(A),C)) is composed into [1303]
% t(eta(A),difference(
% quotient(
% quotient(
% difference(
% j(B),eta(A)),
% j(B)),
% j(j(B))),C))
% <->
% difference(difference(A,
% quotient(
% quotient(
% difference(
% j(A),
% j(j(B))),
% j(A)),
% j(j(A)))),
% t(eta(A),C))
% Rule [1296]
% t(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),j(B))))) <->
% quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)) is composed into
% [1296]
% t(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),j(B))))) <->
% difference(A,quotient(quotient(difference(j(A),B),j(A)),j(j(A))))
% Rule [1276]
% t(eta(A),quotient(eta(A),quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))))) <->
% quotient(eta(A),quotient(quotient(difference(j(eta(A)),j(j(B))),
% j(eta(A))),eta(A))) is composed into [1276]
% t(
% eta(A),
% quotient(
% eta(A),
% quotient(
% quotient(
% difference(
% j(B),
% eta(A)),
% j(B)),
% j(
% j(B)))))
% <->
% quotient(
% eta(A),
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),
% j(
% j(B))),
% j(A)),
% j(
% j(A)))))
% Rule [1271]
% quotient(difference(A,eta(B)),j(j(j(B)))) <->
% i(quotient(quotient(difference(B,quotient(quotient(difference(j(eta(B)),A),
% j(eta(B))),eta(B))),B),
% j(B))) is composed into [1271]
% quotient(difference(A,eta(B)),j(j(j(B)))) <->
% i(quotient(quotient(difference(B,difference(B,
% quotient(
% quotient(
% difference(
% j(B),A),
% j(B)),
% j(j(B))))),B),
% j(B)))
% Rule [1263]
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% quotient(
% difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% quotient(
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))),C)),
% j(C))))),
% j(B)))),A)),
% j(A)))),i(difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))
% <->
% difference(i(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(quotient(difference(j(eta(difference(A,difference(j(A),
% quotient(t(A,B),
% j(A)))))),C),j(eta(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))),
% eta(difference(A,difference(j(A),quotient(t(A,B),j(A))))))) is composed into
% [1263]
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% quotient(
% difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% quotient(
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))),C)),
% j(C))))),
% j(B)))),A)),
% j(A)))),i(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A))))))
% <->
% difference(i(difference(A,difference(j(A),quotient(t(A,B),j(A))))),difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% quotient(
% quotient(
% difference(
% j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),C),
% j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(
% j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))))
% Rule [1259]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,
% difference(j(B),
% quotient(t(B,i(A)),
% j(B))))),j(A)))),
% i(A)) <->
% difference(i(A),quotient(quotient(difference(j(eta(A)),B),j(eta(A))),
% eta(A))) is composed into [1259]
% quotient(difference(A,
% difference(j(A),
% quotient(t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% i(A)),
% j(B))))),
% j(A)))),i(A)) <->
% difference(i(A),difference(A,
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A)))))
% Rule [1214]
% t(eta(A),difference(difference(B,difference(j(B),quotient(t(B,eta(A)),
% j(B)))),C)) <->
% difference(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),
% t(eta(A),C)) is composed into [1214]
% t(eta(A),difference(difference(B,difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B)))),C))
% <->
% difference(difference(A,quotient(quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A)))),
% t(eta(A),C))
% Rule [1212]
% t(eta(A),quotient(difference(B,difference(j(B),quotient(t(B,eta(A)),
% j(B)))),C)) <->
% quotient(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),
% t(eta(A),C)) is composed into [1212]
% t(eta(A),quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B)))),C))
% <->
% quotient(difference(A,quotient(quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A)))),t(
% eta(A),C))
% Rule [1210]
% t(eta(A),quotient(B,difference(C,difference(j(C),quotient(t(C,eta(A)),
% j(C)))))) <->
% quotient(t(eta(A),B),quotient(quotient(difference(j(eta(A)),C),j(eta(A))),
% eta(A))) is composed into [1210]
% t(eta(A),quotient(B,
% difference(C,
% difference(
% j(C),quotient(
% t(C,
% eta(A)),
% j(C))))))
% <->
% quotient(t(eta(A),B),
% difference(A,quotient(
% quotient(
% difference(
% j(A),C),
% j(A)),
% j(j(A)))))
% Rule [1180]
% t(eta(A),quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B)))) <->
% quotient(quotient(difference(j(eta(A)),j(j(B))),j(eta(A))),eta(A)) is composed into
% [1180]
% t(eta(A),quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B)))) <->
% difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),j(j(A))))
% Rule [1106]
% t(eta(A),quotient(quotient(difference(B,eta(A)),B),j(B))) <->
% quotient(quotient(difference(j(eta(A)),j(B)),j(eta(A))),eta(A)) is composed into
% [1106]
% t(eta(A),quotient(quotient(difference(B,eta(A)),B),j(B))) <->
% difference(A,quotient(quotient(difference(j(A),j(B)),j(A)),j(j(A))))
% Rule [1025]
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% i(i(B))),
% j(A))))),
% j(C)))),i(i(B))),A) <->
% difference(difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A)))),
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(difference(
% j(eta(B)),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(eta(B))),eta(B))),
% j(A))))) is composed into [1025]
% quotient(
% quotient(
% difference(C,
% difference(
% j(C),quotient(
% t(C,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% i(i(B))),
% j(A))))),
% j(C)))),
% i(i(B))),A) <->
% difference(
% difference(A,
% difference(
% j(A),quotient(
% t(A,
% i(i(B))),
% j(A)))),
% difference(A,
% difference(
% j(A),quotient(
% t(A,
% difference(B,
% quotient(
% quotient(
% difference(
% j(B),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(B)),
% j(j(B))))),
% j(A)))))
% Rule [995]
% quotient(difference(j(eta(A)),quotient(B,j(eta(A)))),eta(A)) ->
% quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)) is composed into
% [995]
% quotient(difference(j(eta(A)),quotient(B,j(eta(A)))),eta(A)) ->
% difference(A,quotient(quotient(difference(j(A),B),j(A)),j(j(A))))
% Rule [929]
% t(eta(A),difference(difference(B,difference(j(B),quotient(t(B,eta(A)),
% j(B)))),difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(
% difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B)))),
% j(eta(A)))))))
% <->
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))),
% j(C)))),B),eta(A)) is composed into
% [929]
% t(eta(A),difference(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))),
% difference(eta(A),difference(j(eta(A)),quotient(difference(B,
% difference(j(B),
% quotient(t(B,C),
% j(B)))),j(eta(A)))))))
% <->
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% quotient(
% quotient(
% difference(
% j(A),B),j(A)),
% j(j(A))))),
% j(C)))),B),eta(A))
% Rule [925]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,t(eta(B),
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% eta(B)),
% j(C)))))),
% j(A)))),C),eta(B)) <->
% difference(quotient(quotient(difference(j(eta(B)),C),j(eta(B))),eta(B)),
% quotient(quotient(difference(j(eta(B)),difference(C,difference(j(C),
% quotient(t(C,A),
% j(C))))),j(eta(B))),
% eta(B))) is composed into [925]
% quotient(quotient(difference(A,difference(
% j(A),quotient(
% t(A,
% t(
% eta(B),
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% eta(B)),
% j(C)))))),
% j(A)))),C),
% eta(B)) <->
% difference(difference(B,quotient(quotient(
% difference(
% j(B),C),
% j(B)),
% j(j(B)))),difference(B,
% quotient(
% quotient(
% difference(
% j(B),
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)),
% j(j(B)))))
% Rule [920]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,
% difference(j(B),
% quotient(t(B,
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(A,
% quotient(
% quotient(B,
% j(A)),
% j(j(A))))),
% j(C)))),B)),
% j(B))))),j(A)))),
% i(A)) <->
% difference(i(A),quotient(quotient(difference(j(eta(A)),difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(eta(A))),eta(A))) is composed into [920]
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(A,
% quotient(
% quotient(B,
% j(A)),
% j(
% j(A))))),
% j(C)))),B)),
% j(B))))),
% j(A)))),
% i(A)) <->
% difference(
% i(A),
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)),
% j(
% j(A)))))
% Rule [909]
% t(eta(A),difference(B,difference(j(B),quotient(t(B,difference(C,
% difference(j(C),
% quotient(t(C,eta(A)),
% j(C))))),j(B))))) <->
% difference(t(eta(A),B),difference(j(t(eta(A),B)),quotient(t(t(eta(A),B),
% quotient(
% quotient(
% difference(
% j(eta(A)),C),
% j(eta(A))),
% eta(A))),
% j(t(eta(A),B))))) is composed into
% [909]
% t(eta(A),difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,eta(A)),
% j(C))))),
% j(B))))) <->
% difference(t(eta(A),B),difference(j(t(eta(A),B)),quotient(t(t(eta(A),B),
% difference(A,
% quotient(quotient(
% difference(
% j(A),C),
% j(A)),
% j(j(A))))),
% j(t(eta(A),B)))))
% Rule [876]
% quotient(difference(B,difference(C,difference(j(C),quotient(t(C,i(i(A))),
% j(C))))),i(i(A))) <->
% difference(quotient(quotient(difference(j(eta(A)),difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(eta(A))),eta(A)),quotient(quotient(difference(
% j(eta(A)),
% difference(A,
% difference(
% j(A),quotient(
% t(A,C),
% j(A))))),
% j(eta(A))),eta(A))) is composed into
% [876]
% quotient(difference(B,difference(C,difference(j(C),quotient(t(C,i(i(A))),
% j(C))))),i(i(A))) <->
% difference(difference(A,quotient(quotient(difference(j(A),difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(A)),j(j(A)))),difference(A,quotient(
% quotient(
% difference(
% j(A),difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))),
% j(A)),j(j(A)))))
% Rule [856]
% t(i(i(A)),difference(B,difference(j(B),quotient(t(B,i(i(A))),j(B)))))
% <->
% difference(i(i(A)),difference(quotient(quotient(difference(j(eta(A)),
% quotient(A,i(A))),
% j(eta(A))),eta(A)),difference(
% j(quotient(
% quotient(
% difference(
% j(eta(A)),
% quotient(A,
% i(A))),
% j(eta(A))),
% eta(A))),
% quotient(
% t(quotient(
% quotient(
% difference(
% j(eta(A)),
% quotient(A,
% i(A))),
% j(eta(A))),
% eta(A)),B),
% j(quotient(
% quotient(
% difference(
% j(eta(A)),
% quotient(A,
% i(A))),
% j(eta(A))),
% eta(A))))))) is composed into
% [856]
% t(i(i(A)),difference(B,difference(j(B),quotient(t(B,i(i(A))),j(B))))) <->
% difference(i(i(A)),difference(difference(A,quotient(quotient(difference(
% j(A),quotient(A,
% i(A))),
% j(A)),j(j(A)))),difference(
% j(
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),
% quotient(A,
% i(A))),
% j(A)),
% j(
% j(A))))),
% quotient(
% t(
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),
% quotient(A,
% i(A))),
% j(A)),
% j(
% j(A)))),B),
% j(
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),
% quotient(A,
% i(A))),
% j(A)),
% j(
% j(A)))))))))
% Rule [823]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(difference(A,difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),quotient(
% t(B,eta(A)),
% j(B))))),
% j(A)))),difference(j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A)))),C),
% j(difference(A,difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A)))))))))
% <->
% quotient(quotient(quotient(difference(j(eta(A)),difference(C,difference(
% j(C),
% quotient(
% t(C,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C))))),
% j(eta(A))),eta(A)),difference(A,difference(j(A),
% quotient(t(A,B),
% j(A))))) is composed into
% [823]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A)))),
% difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A)))))))))
% <->
% quotient(difference(A,quotient(quotient(difference(j(A),difference(C,
% difference(j(C),
% quotient(t(C,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C))))),j(A)),
% j(j(A)))),difference(A,difference(j(A),quotient(
% t(A,B),j(A)))))
% Rule [775]
% difference(difference(B,difference(j(B),quotient(t(B,C),j(B)))),
% difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),quotient(
% t(C,
% i(i(A))),
% j(C))))),
% j(B))))) <->
% quotient(quotient(quotient(quotient(difference(j(eta(A)),difference(A,
% difference(
% j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),
% j(eta(A))),eta(A)),C),B) is composed into
% [775]
% difference(difference(B,difference(j(B),quotient(t(B,C),j(B)))),difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% i(
% i(A))),
% j(C))))),
% j(B))))) <->
% quotient(quotient(difference(A,quotient(quotient(difference(j(A),difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),
% j(A)),j(j(A)))),C),B)
% Rule [771]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,
% difference(j(C),
% quotient(t(C,i(i(A))),
% j(C))))),j(B)))),
% i(i(A))) <->
% difference(i(i(A)),difference(quotient(quotient(difference(j(eta(A)),
% difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(eta(A))),eta(A)),difference(
% j(quotient(
% quotient(
% difference(
% j(eta(A)),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(eta(A))),
% eta(A))),
% quotient(
% t(quotient(
% quotient(
% difference(
% j(eta(A)),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(eta(A))),
% eta(A)),C),
% j(quotient(
% quotient(
% difference(
% j(eta(A)),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(eta(A))),
% eta(A))))))) is composed into
% [771]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,i(i(A))),
% j(C))))),
% j(B)))),i(i(A))) <->
% difference(i(i(A)),difference(difference(A,quotient(quotient(difference(
% j(A),difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(A)),j(j(A)))),difference(
% j(
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(A)),
% j(
% j(A))))),
% quotient(
% t(
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(A)),
% j(
% j(A)))),C),
% j(
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(A)),
% j(
% j(A)))))))))
% Rule [757]
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(j(B),
% quotient(t(B,
% t(eta(C),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% eta(C)),
% j(A)))))),
% j(B)))),A)),j(A))))
% <->
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% quotient(
% quotient(
% difference(
% j(eta(C)),
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(eta(C))),
% eta(C))),
% j(B)))),A)),
% j(A)))),C) is composed into
% [757]
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,t(
% eta(C),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% eta(C)),
% j(A)))))),
% j(B)))),A)),
% j(A)))) <->
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% quotient(
% quotient(
% difference(
% j(C),
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(C)),
% j(j(C))))),
% j(B)))),A)),
% j(A)))),C)
% Rule [724]
% t(eta(A),difference(difference(B,difference(j(B),quotient(t(B,eta(A)),
% j(B)))),difference(
% j(difference(B,
% difference(
% j(B),
% quotient(
% t(B,eta(A)),
% j(B))))),
% quotient(
% t(difference(B,
% difference(
% j(B),
% quotient(
% t(B,eta(A)),
% j(B)))),C),
% j(difference(B,
% difference(
% j(B),
% quotient(
% t(B,eta(A)),
% j(B)))))))))
% ->
% t(eta(A),difference(B,difference(j(B),quotient(t(B,quotient(quotient(
% difference(
% j(eta(A)),C),
% j(eta(A))),
% eta(A))),j(B))))) is composed into
% [724]
% t(eta(A),difference(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))),
% difference(j(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B))))),
% quotient(t(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))),C),
% j(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B))))))))) ->
% t(eta(A),difference(B,difference(j(B),quotient(t(B,difference(A,quotient(
% quotient(
% difference(
% j(A),C),
% j(A)),
% j(j(A))))),
% j(B)))))
% Rule [722]
% difference(i(A),difference(eta(A),difference(j(eta(A)),quotient(
% i(i(t(eta(A),B))),
% j(eta(A)))))) <->
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(quotient(
% difference(
% j(eta(B)),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% i(A)),
% j(B))))),
% j(eta(B))),
% eta(B))),j(A)))),
% i(A)) is composed into [722]
% difference(i(A),difference(eta(A),difference(
% j(eta(A)),
% quotient(
% i(i(t(eta(A),B))),
% j(eta(A))))))
% <->
% quotient(difference(A,difference(j(A),quotient(
% t(A,
% difference(B,
% quotient(
% quotient(
% difference(
% j(B),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% i(A)),
% j(B))))),
% j(B)),
% j(j(B))))),
% j(A)))),
% i(A))
% Rule [719]
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(quotient(
% difference(
% j(B),
% i(A)),
% j(B)),
% j(j(B)))),j(A)))),
% i(A)) <->
% difference(i(A),quotient(quotient(difference(j(eta(A)),j(j(B))),
% j(eta(A))),eta(A))) is composed into [719]
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% quotient(
% difference(
% j(B),
% i(A)),
% j(B)),
% j(
% j(B)))),
% j(A)))),
% i(A)) <->
% difference(
% i(A),
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),
% j(
% j(B))),
% j(A)),
% j(
% j(A)))))
% Rule [709]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,
% difference(j(B),
% quotient(t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% eta(B)),
% j(C))))),
% j(B))))),j(A)))),
% eta(B)) <->
% difference(eta(B),difference(quotient(quotient(difference(j(eta(B)),A),
% j(eta(B))),eta(B)),difference(
% j(quotient(
% quotient(
% difference(
% j(eta(B)),A),
% j(eta(B))),
% eta(B))),
% quotient(
% t(quotient(
% quotient(
% difference(
% j(eta(B)),A),
% j(eta(B))),
% eta(B)),
% difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(quotient(
% quotient(
% difference(
% j(eta(B)),A),
% j(eta(B))),
% eta(B))))))) is composed into
% [709]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% eta(B)),
% j(C))))),
% j(B))))),
% j(A)))),eta(B)) <->
% difference(eta(B),difference(difference(B,quotient(quotient(difference(
% j(B),A),j(B)),
% j(j(B)))),difference(j(difference(B,
% quotient(
% quotient(
% difference(
% j(B),A),
% j(B)),
% j(j(B))))),
% quotient(t(difference(B,
% quotient(
% quotient(
% difference(
% j(B),A),
% j(B)),
% j(j(B)))),
% difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(difference(B,quotient(
% quotient(
% difference(
% j(B),A),
% j(B)),
% j(
% j(B)))))))))
% Rule [685]
% quotient(quotient(quotient(difference(j(A),difference(B,difference(
% j(B),quotient(
% t(B,
% j(A)),
% j(B))))),
% j(A)),j(j(A))),j(A)) <->
% difference(j(A),quotient(quotient(difference(j(eta(A)),B),j(eta(A))),
% eta(A))) is composed into [685]
% quotient(quotient(quotient(
% difference(
% j(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% j(A)),
% j(B))))),
% j(A)),
% j(j(A))),j(A)) <->
% difference(j(A),difference(A,
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A)))))
% New rule produced :
% [1827]
% quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)) ->
% difference(A,quotient(quotient(difference(j(A),B),j(A)),j(j(A))))
% Rule
% [652]
% quotient(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),B) ->
% eta(A) collapsed.
% Rule
% [763]
% quotient(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),eta(A))
% -> t(eta(A),B) collapsed.
% Rule
% [996]
% i(quotient(quotient(difference(j(eta(B)),A),j(eta(B))),eta(B))) ->
% quotient(i(A),eta(B)) collapsed.
% Rule
% [997]
% quotient(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),
% difference(A,B)) -> i(i(A)) collapsed.
% Rule
% [998]
% difference(i(i(A)),quotient(quotient(difference(j(eta(A)),B),j(eta(A))),
% eta(A))) -> difference(A,B) collapsed.
% Rule
% [999]
% quotient(quotient(difference(j(eta(A)),difference(j(j(A)),B)),j(eta(A))),
% eta(A)) -> difference(A,B) collapsed.
% Rule
% [1000]
% quotient(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),
% i(i(A))) -> t(i(i(A)),difference(A,B)) collapsed.
% Rule
% [1001]
% difference(quotient(quotient(difference(j(eta(B)),A),j(eta(B))),eta(B)),
% i(i(B))) -> quotient(difference(A,j(j(B))),eta(B)) collapsed.
% Rule
% [1026]
% difference(difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A)))),
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(difference(
% j(eta(B)),
% difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(eta(B))),eta(B))),
% j(A))))) <->
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),quotient(
% t(A,
% i(i(B))),
% j(A))))),
% j(C)))),i(i(B))),A) collapsed.
% Rule
% [1039]
% difference(i(i(i(A))),quotient(quotient(difference(j(eta(A)),B),j(eta(A))),
% eta(A))) <->
% quotient(quotient(quotient(difference(j(eta(A)),difference(A,difference(
% j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% i(i(i(A)))),
% j(B))))),
% j(A))))),
% j(eta(A))),eta(A)),i(i(i(A)))) collapsed.
% Rule
% [1040]
% quotient(quotient(quotient(difference(j(eta(A)),difference(A,difference(
% j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% i(i(i(A)))),
% j(B))))),
% j(A))))),
% j(eta(A))),eta(A)),i(i(i(A)))) <->
% difference(i(i(i(A))),quotient(quotient(difference(j(eta(A)),B),j(eta(A))),
% eta(A))) collapsed.
% Rule
% [1062]
% difference(quotient(quotient(difference(j(eta(A)),difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(eta(A))),eta(A)),quotient(quotient(difference(j(eta(A)),
% difference(A,
% difference(j(A),
% quotient(t(A,
% difference(
% j(B),
% j(j(B)))),
% j(A))))),j(eta(A))),
% eta(A))) ->
% quotient(t(B,quotient(quotient(difference(j(eta(A)),difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(eta(A))),eta(A))),i(i(A))) collapsed.
% Rule
% [1084]
% difference(difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A)))),
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(difference(
% j(eta(B)),
% quotient(B,
% i(B))),j(eta(B))),
% eta(B))),j(A))))) ->
% quotient(t(i(i(B)),difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A))))),A)
% collapsed.
% Rule
% [1094]
% difference(quotient(quotient(difference(j(eta(B)),difference(B,difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(eta(B))),eta(B)),quotient(quotient(difference(j(eta(B)),
% difference(B,
% difference(j(B),
% quotient(t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B))))),j(eta(B))),
% eta(B))) <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,quotient(
% quotient(
% difference(
% j(eta(B)),
% difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(eta(B))),
% eta(B))),
% j(A)))),C),i(i(B))) collapsed.
% Rule
% [1095]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,quotient(
% quotient(
% difference(
% j(eta(B)),
% difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(eta(B))),
% eta(B))),
% j(A)))),C),i(i(B))) <->
% difference(quotient(quotient(difference(j(eta(B)),difference(B,difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(eta(B))),eta(B)),quotient(quotient(difference(j(eta(B)),
% difference(B,
% difference(j(B),
% quotient(t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B))))),j(eta(B))),
% eta(B))) collapsed.
% Rule
% [1105]
% quotient(quotient(difference(j(eta(A)),j(B)),j(eta(A))),eta(A)) <->
% t(eta(A),quotient(quotient(difference(B,eta(A)),B),j(B))) collapsed.
% Rule
% [1116]
% quotient(difference(i(quotient(A,i(i(B)))),quotient(quotient(difference(
% j(eta(B)),
% quotient(A,
% i(i(B)))),
% j(eta(B))),eta(B))),
% quotient(A,i(i(B)))) -> quotient(A,B) collapsed.
% Rule
% [1126]
% t(eta(A),quotient(quotient(difference(j(eta(B)),eta(A)),j(eta(B))),eta(B)))
% <-> quotient(quotient(difference(j(eta(A)),eta(B)),j(eta(A))),eta(A))
% collapsed.
% Rule
% [1127]
% quotient(quotient(difference(j(eta(A)),eta(B)),j(eta(A))),eta(A)) <->
% t(eta(A),quotient(quotient(difference(j(eta(B)),eta(A)),j(eta(B))),eta(B)))
% collapsed.
% Rule
% [1135]
% difference(A,quotient(quotient(quotient(quotient(difference(j(eta(A)),B),
% j(eta(A))),eta(A)),j(A)),j(j(A)))) ->
% quotient(quotient(difference(A,B),A),j(A)) collapsed.
% Rule
% [1143]
% quotient(quotient(quotient(difference(j(eta(A)),difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(eta(A))),eta(A)),B) -> i(i(A)) collapsed.
% Rule
% [1171]
% difference(A,quotient(quotient(difference(j(eta(A)),quotient(B,A)),j(eta(A))),
% eta(A))) ->
% quotient(quotient(quotient(difference(A,B),A),j(A)),A) collapsed.
% Rule
% [1177]
% difference(eta(A),quotient(quotient(quotient(difference(j(eta(A)),quotient(A,
% i(A))),
% j(eta(A))),eta(A)),A)) -> j(j(A))
% collapsed.
% Rule
% [1187]
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))),
% j(A)))) ->
% difference(difference(j(A),j(j(A))),difference(A,difference(j(A),quotient(
% t(A,
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A)))),
% j(A)))))
% collapsed.
% Rule
% [1188]
% quotient(difference(i(t(i(i(A)),B)),quotient(quotient(difference(j(eta(A)),
% t(i(i(A)),B)),j(eta(A))),
% eta(A))),t(i(i(A)),B)) ->
% quotient(quotient(quotient(difference(j(eta(A)),difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(eta(A))),eta(A)),A) collapsed.
% Rule
% [1192]
% quotient(quotient(difference(j(eta(A)),quotient(quotient(difference(A,B),A),
% j(A))),j(eta(A))),eta(A)) ->
% difference(A,quotient(quotient(B,j(A)),j(j(A)))) collapsed.
% Rule
% [1206]
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% quotient(
% quotient(
% quotient(
% difference(
% j(eta(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))),
% j(eta(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))),
% eta(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),C)),
% j(C))))),
% j(B)))),A)),
% j(A)))),eta(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A))))))
% ->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% collapsed.
% Rule
% [1211]
% quotient(t(eta(A),B),quotient(quotient(difference(j(eta(A)),C),j(eta(A))),
% eta(A))) <->
% t(eta(A),quotient(B,difference(C,difference(j(C),quotient(t(C,eta(A)),j(C))))))
% collapsed.
% Rule
% [1213]
% quotient(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),
% t(eta(A),C)) <->
% t(eta(A),quotient(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))),C))
% collapsed.
% Rule
% [1215]
% difference(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),
% t(eta(A),C)) <->
% t(eta(A),difference(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))),C))
% collapsed.
% Rule
% [1221]
% difference(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))),
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% quotient(
% quotient(
% quotient(
% difference(
% j(
% eta(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))),
% j(
% eta(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))),
% eta(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),C)),
% j(C))))),
% j(B)))),A)),
% j(A))))) ->
% eta(difference(A,difference(j(A),quotient(t(A,B),j(A))))) collapsed.
% Rule
% [1230]
% difference(i(B),quotient(quotient(difference(j(eta(B)),t(i(B),A)),j(eta(B))),
% eta(B))) -> quotient(quotient(quotient(A,j(B)),j(j(B))),i(B))
% collapsed.
% Rule
% [1244]
% quotient(quotient(quotient(difference(j(eta(A)),quotient(quotient(difference(
% j(A),B),
% j(A)),j(j(A)))),
% j(eta(A))),eta(A)),B) -> A collapsed.
% Rule
% [1245]
% difference(A,quotient(quotient(difference(j(eta(A)),quotient(quotient(
% difference(
% j(A),B),
% j(A)),j(j(A)))),
% j(eta(A))),eta(A))) -> B collapsed.
% Rule
% [1250]
% quotient(quotient(quotient(difference(j(eta(A)),difference(B,difference(
% j(B),quotient(
% t(B,A),
% j(B))))),
% j(eta(A))),eta(A)),A) ->
% quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)) collapsed.
% Rule
% [1251]
% difference(i(A),quotient(quotient(difference(j(eta(A)),quotient(B,i(A))),
% j(eta(A))),eta(A))) ->
% quotient(difference(A,difference(j(A),quotient(t(A,B),j(A)))),i(A))
% collapsed.
% Rule
% [1258]
% difference(i(A),quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)))
% <->
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,i(A)),
% j(B))))),
% j(A)))),i(A)) collapsed.
% Rule
% [1262]
% quotient(quotient(quotient(difference(j(eta(A)),quotient(quotient(difference(
% j(A),B),
% j(A)),j(j(A)))),
% j(eta(A))),eta(A)),A) -> t(A,B) collapsed.
% Rule
% [1264]
% difference(i(difference(A,difference(j(A),quotient(t(A,B),j(A))))),quotient(
% quotient(
% difference(
% j(
% eta(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),C),
% j(
% eta(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))),
% eta(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))
% <->
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% quotient(
% difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% quotient(
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))),C)),
% j(C))))),
% j(B)))),A)),
% j(A)))),i(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A))))))
% collapsed.
% Rule
% [1272]
% difference(quotient(quotient(difference(j(eta(B)),A),j(eta(B))),eta(B)),j(B))
% -> quotient(difference(A,j(j(j(j(j(B)))))),eta(B)) collapsed.
% Rule
% [1288]
% quotient(difference(i(difference(A,B)),quotient(quotient(difference(j(eta(A)),
% difference(A,B)),
% j(eta(A))),eta(A))),difference(A,B))
% -> difference(A,difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))))
% collapsed.
% Rule
% [1289]
% t(eta(A),t(eta(B),quotient(quotient(difference(j(eta(A)),eta(B)),j(eta(A))),
% eta(A)))) ->
% quotient(quotient(difference(j(eta(A)),eta(B)),j(eta(A))),eta(A)) collapsed.
% Rule
% [1295]
% quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)) <->
% t(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))))
% collapsed.
% Rule
% [1334]
% difference(A,difference(i(A),quotient(quotient(quotient(quotient(difference(
% j(eta(A)),B),
% j(eta(A))),eta(A)),A),
% j(A)))) <->
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,A),j(B)))),
% eta(A)),i(i(A))) collapsed.
% Rule
% [1340]
% difference(quotient(quotient(difference(j(eta(B)),A),j(eta(B))),eta(B)),B) ->
% quotient(difference(A,j(j(j(j(B))))),eta(B)) collapsed.
% Rule
% [1407]
% difference(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),
% t(eta(A),difference(C,difference(j(C),quotient(t(C,eta(A)),j(C)))))) ->
% quotient(difference(B,difference(C,difference(j(C),quotient(t(C,eta(A)),j(C))))),
% eta(A)) collapsed.
% Rule
% [1411]
% quotient(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),i(A))
% <->
% t(i(A),quotient(difference(A,difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),quotient(
% t(B,i(A)),
% j(B))))),
% j(A)))),i(A))) collapsed.
% Rule
% [1415]
% quotient(quotient(quotient(difference(j(eta(difference(difference(j(A),
% j(j(A))),difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),
% j(eta(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A))))))),
% eta(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,C),j(A)))))
% ->
% i(i(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A))))))
% collapsed.
% Rule
% [1418]
% t(eta(A),quotient(quotient(difference(j(eta(B)),difference(B,difference(
% j(B),quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(eta(B))),eta(B))) <->
% difference(eta(A),difference(j(eta(A)),quotient(i(i(t(eta(A),B))),j(eta(A)))))
% collapsed.
% Rule
% [1425]
% quotient(difference(A,difference(j(A),quotient(t(A,t(eta(B),quotient(
% quotient(
% difference(
% j(eta(A)),
% eta(B)),j(eta(A))),
% eta(A)))),
% j(A)))),eta(A)) ->
% difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))) collapsed.
% Rule
% [1436]
% quotient(quotient(difference(j(eta(A)),eta(B)),j(eta(A))),eta(A)) <->
% quotient(t(eta(A),quotient(quotient(difference(j(eta(B)),difference(B,
% difference(j(B),
% quotient(t(B,eta(A)),
% j(B))))),j(eta(B))),
% eta(B))),B) collapsed.
% Rule
% [1437]
% quotient(t(eta(A),quotient(quotient(difference(j(eta(B)),difference(B,
% difference(j(B),
% quotient(t(B,eta(A)),
% j(B))))),j(eta(B))),
% eta(B))),B) <->
% quotient(quotient(difference(j(eta(A)),eta(B)),j(eta(A))),eta(A)) collapsed.
% Rule
% [1446]
% difference(A,quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)))
% <->
% quotient(quotient(quotient(difference(A,difference(B,difference(j(B),
% quotient(t(B,A),
% j(B))))),A),j(A)),A)
% collapsed.
% Rule
% [1451]
% quotient(t(B,quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A))),
% eta(A)) <->
% quotient(quotient(difference(j(B),quotient(eta(A),j(B))),B),eta(A))
% collapsed.
% Rule
% [1454]
% difference(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),
% difference(A,difference(j(A),quotient(t(A,t(eta(B),quotient(quotient(
% difference(
% j(eta(A)),
% eta(B)),j(eta(A))),
% eta(A)))),j(A))))) ->
% eta(A) collapsed.
% Rule
% [1466]
% quotient(quotient(quotient(quotient(difference(j(eta(B)),difference(A,
% difference(j(A),
% quotient(t(A,j(B)),
% j(A))))),j(eta(B))),
% eta(B)),j(B)),A) <->
% quotient(difference(j(B),difference(j(j(j(B))),quotient(quotient(difference(B,
% quotient(
% quotient(
% difference(B,A),B),
% j(B))),B),
% j(B)))),A) collapsed.
% Rule
% [1469]
% quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)) <->
% difference(A,quotient(quotient(quotient(difference(A,difference(j(A),
% quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% i(A)),
% j(B))))),
% j(A)))),i(A)),j(A)),
% j(j(A)))) collapsed.
% Rule
% [1473]
% quotient(difference(A,quotient(quotient(difference(j(eta(B)),difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(eta(B))),eta(B))),C) <->
% difference(difference(C,difference(j(C),quotient(t(C,A),j(C)))),difference(C,
% difference(
% j(C),
% quotient(
% t(C,i(i(B))),
% j(C)))))
% collapsed.
% Rule
% [1474]
% quotient(quotient(quotient(difference(j(eta(t(eta(A),B))),t(eta(A),difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))))),
% j(eta(t(eta(A),B)))),eta(t(eta(A),B))),t(eta(A),C)) ->
% i(i(t(eta(A),B))) collapsed.
% Rule
% [1475]
% quotient(quotient(quotient(difference(j(eta(A)),difference(A,difference(
% j(A),quotient(
% t(A,
% i(i(B))),
% j(A))))),
% j(eta(A))),eta(A)),B) ->
% quotient(quotient(difference(j(eta(A)),difference(A,difference(j(A),quotient(
% t(A,
% eta(B)),
% j(A))))),
% j(eta(A))),eta(A)) collapsed.
% Rule
% [1478]
% quotient(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,i(A)),
% j(B))))),
% j(A)))),i(A))) -> i(A) collapsed.
% Rule
% [1479]
% difference(difference(i(A),quotient(quotient(difference(j(eta(A)),B),
% j(eta(A))),eta(A))),difference(A,
% difference(j(A),
% quotient(t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% i(A)),
% j(B))))),
% j(A))))) -> i(A)
% collapsed.
% Rule
% [1503]
% difference(i(A),quotient(quotient(difference(j(eta(A)),eta(B)),j(eta(A))),
% eta(A))) ->
% quotient(difference(A,difference(j(A),quotient(t(A,t(eta(B),difference(A,
% quotient(
% quotient(
% eta(B),j(A)),
% j(j(A)))))),
% j(A)))),i(A)) collapsed.
% Rule
% [1506]
% difference(j(j(j(A))),quotient(quotient(difference(A,quotient(quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))),A),j(A))) <->
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,j(j(j(A)))),j(B)))),
% eta(A)),j(A)) collapsed.
% Rule
% [1522]
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(quotient(
% difference(
% j(eta(B)),
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(eta(B))),
% eta(B))),j(A)))),eta(A))
% -> difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A)))) collapsed.
% Rule
% [1538]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% difference(
% j(
% t(
% eta(A),B)),
% quotient(
% t(
% t(
% eta(A),B),
% quotient(
% quotient(
% difference(
% j(
% eta(A)),C),
% j(
% eta(A))),
% eta(A))),
% j(
% t(
% eta(A),B)))),
% j(
% eta(A))))))))
% <->
% t(eta(A),difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,eta(A)),
% j(C))))),
% j(B))))) collapsed.
% Rule
% [1543]
% quotient(quotient(quotient(quotient(difference(j(eta(A)),difference(B,
% difference(j(B),
% quotient(t(B,C),
% j(B))))),j(eta(A))),
% eta(A)),C),B) <->
% quotient(quotient(t(eta(A),difference(B,difference(j(B),quotient(t(B,
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% t(eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B)))))),
% j(C)))),B)),
% j(B))))),C),B)
% collapsed.
% Rule
% [1551]
% t(eta(A),difference(B,difference(j(B),quotient(t(B,quotient(difference(C,
% difference(
% j(C),quotient(
% t(C,
% quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))),
% j(C)))),B)),
% j(B))))) <->
% quotient(quotient(difference(j(eta(A)),difference(B,difference(j(B),quotient(
% t(B,C),
% j(B))))),
% j(eta(A))),eta(A)) collapsed.
% Rule
% [1552]
% quotient(quotient(difference(j(eta(A)),difference(B,difference(j(B),quotient(
% t(B,C),
% j(B))))),
% j(eta(A))),eta(A)) <->
% t(eta(A),difference(B,difference(j(B),quotient(t(B,quotient(difference(C,
% difference(
% j(C),quotient(
% t(C,
% quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))),
% j(C)))),B)),
% j(B))))) collapsed.
% Rule
% [1553]
% t(A,quotient(quotient(difference(j(eta(B)),difference(B,difference(j(B),
% quotient(t(B,A),
% j(B))))),j(eta(B))),
% eta(B))) <-> quotient(difference(j(A),quotient(i(i(B)),j(A))),A)
% collapsed.
% Rule
% [1562]
% difference(quotient(quotient(difference(j(eta(B)),C),j(eta(B))),eta(B)),
% quotient(quotient(difference(j(eta(B)),difference(C,difference(j(C),quotient(
% t(C,A),
% j(C))))),
% j(eta(B))),eta(B))) <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,quotient(
% quotient(
% difference(
% j(eta(B)),C),
% j(eta(B))),
% eta(B))),
% j(A)))),C),eta(B)) collapsed.
% Rule
% [1563]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,quotient(
% quotient(
% difference(
% j(eta(B)),C),
% j(eta(B))),
% eta(B))),
% j(A)))),C),eta(B)) <->
% difference(quotient(quotient(difference(j(eta(B)),C),j(eta(B))),eta(B)),
% quotient(quotient(difference(j(eta(B)),difference(C,difference(j(C),quotient(
% t(C,A),
% j(C))))),
% j(eta(B))),eta(B))) collapsed.
% Rule
% [1565]
% difference(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(difference(
% j(eta(B)),C),
% j(eta(B))),eta(B))),
% j(A))))) <->
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),quotient(
% t(A,
% eta(B)),
% j(A))))),
% j(C)))),eta(B)),A) collapsed.
% Rule
% [1578]
% quotient(quotient(quotient(difference(A,quotient(quotient(difference(
% j(eta(B)),difference(B,
% difference(
% j(B),
% quotient(
% t(B,A),
% j(B))))),
% j(eta(B))),eta(B))),A),
% j(A)),A) <->
% difference(A,difference(eta(A),difference(j(eta(A)),quotient(i(i(t(eta(A),B))),
% j(eta(A)))))) collapsed.
% Rule
% [1586]
% difference(difference(quotient(quotient(difference(j(eta(A)),quotient(A,i(A))),
% j(eta(A))),eta(A)),quotient(quotient(difference(
% j(
% eta(A)),
% quotient(
% quotient(
% difference(
% j(A),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(A)),
% j(
% j(A)))),
% j(eta(A))),
% eta(A))),difference(
% j(difference(
% quotient(
% quotient(
% difference(
% j(eta(A)),
% quotient(A,
% i(A))),j(eta(A))),
% eta(A)),
% quotient(
% quotient(
% difference(
% j(eta(A)),
% quotient(
% quotient(
% difference(
% j(A),difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(A)),j(j(A)))),
% j(eta(A))),
% eta(A)))),
% quotient(t(
% difference(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),
% quotient(A,
% i(A))),
% j(
% eta(A))),
% eta(A)),
% quotient(
% quotient(
% difference(
% j(
% eta(A)),
% quotient(
% quotient(
% difference(
% j(A),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(A)),
% j(
% j(A)))),
% j(
% eta(A))),
% eta(A))),
% difference(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),
% quotient(A,
% i(A))),
% j(
% eta(A))),
% eta(A)),
% quotient(
% quotient(
% difference(
% j(
% eta(A)),
% quotient(
% quotient(
% difference(
% j(A),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))),
% j(A)),
% j(
% j(A)))),
% j(
% eta(A))),
% eta(A)))),
% j(difference(
% quotient(
% quotient(
% difference(
% j(eta(A)),
% quotient(A,
% i(A))),j(eta(A))),
% eta(A)),
% quotient(
% quotient(
% difference(
% j(eta(A)),
% quotient(
% quotient(
% difference(
% j(A),difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(A)),j(j(A)))),
% j(eta(A))),
% eta(A))))))) ->
% difference(quotient(quotient(difference(j(eta(A)),quotient(A,i(A))),j(eta(A))),
% eta(A)),quotient(quotient(difference(j(eta(A)),quotient(quotient(
% difference(
% j(A),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),
% j(A)),
% j(j(A)))),j(eta(A))),
% eta(A))) collapsed.
% Rule
% [1588]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,i(A)),
% j(B))))),
% j(A)))),difference(i(A),quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A)))) ->
% t(quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,
% i(A)),
% j(B))))),
% j(A)))),i(A)),i(A)) collapsed.
% Rule
% [1589]
% difference(quotient(quotient(difference(j(eta(A)),j(j(B))),j(eta(A))),eta(A)),
% eta(A)) <->
% t(eta(A),difference(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% eta(A))) collapsed.
% Rule
% [1593]
% difference(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(difference(
% j(eta(B)),
% i(C)),j(eta(B))),
% eta(B))),j(A))))) <->
% quotient(quotient(difference(C,quotient(quotient(difference(A,difference(
% j(A),quotient(
% t(A,
% eta(B)),
% j(A)))),
% j(C)),j(j(C)))),eta(B)),A) collapsed.
% Rule
% [1599]
% difference(quotient(quotient(difference(j(eta(A)),j(j(B))),j(eta(A))),eta(A)),
% j(eta(A))) <->
% t(eta(A),difference(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% j(eta(A)))) collapsed.
% Rule
% [1609]
% difference(difference(A,difference(j(A),quotient(t(A,eta(B)),j(A)))),
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(difference(
% j(eta(B)),
% j(C)),j(eta(B))),
% eta(B))),j(A))))) <->
% quotient(quotient(quotient(quotient(difference(C,difference(A,difference(
% j(A),quotient(
% t(A,
% eta(B)),
% j(A))))),C),
% j(C)),eta(B)),A) collapsed.
% Rule
% [1613]
% difference(quotient(quotient(difference(j(eta(B)),i(C)),j(eta(B))),eta(B)),
% quotient(quotient(difference(j(eta(B)),difference(C,quotient(quotient(A,j(C)),
% j(j(C))))),j(eta(B))),
% eta(B))) <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,quotient(
% quotient(
% difference(
% j(eta(B)),
% i(C)),j(eta(B))),
% eta(B))),
% j(A)))),i(C)),eta(B))
% collapsed.
% Rule
% [1614]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,quotient(
% quotient(
% difference(
% j(eta(B)),
% i(C)),j(eta(B))),
% eta(B))),
% j(A)))),i(C)),eta(B)) <->
% difference(quotient(quotient(difference(j(eta(B)),i(C)),j(eta(B))),eta(B)),
% quotient(quotient(difference(j(eta(B)),difference(C,quotient(quotient(A,j(C)),
% j(j(C))))),j(eta(B))),
% eta(B))) collapsed.
% Rule
% [1625]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% quotient(
% quotient(
% difference(
% j(
% eta(A)),B),
% j(
% eta(A))),
% eta(A))),
% j(C)))),B)),
% j(B))))),
% j(A)))),eta(A)) ->
% difference(A,difference(j(A),quotient(t(A,difference(B,difference(j(B),
% quotient(t(B,C),
% j(B))))),j(A))))
% collapsed.
% Rule
% [1629]
% difference(quotient(quotient(difference(j(eta(B)),j(C)),j(eta(B))),eta(B)),
% quotient(quotient(difference(j(eta(B)),quotient(quotient(difference(C,A),C),
% j(C))),j(eta(B))),eta(B))) <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,quotient(
% quotient(
% difference(
% j(eta(B)),
% j(C)),j(eta(B))),
% eta(B))),
% j(A)))),j(C)),eta(B))
% collapsed.
% Rule
% [1630]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,quotient(
% quotient(
% difference(
% j(eta(B)),
% j(C)),j(eta(B))),
% eta(B))),
% j(A)))),j(C)),eta(B)) <->
% difference(quotient(quotient(difference(j(eta(B)),j(C)),j(eta(B))),eta(B)),
% quotient(quotient(difference(j(eta(B)),quotient(quotient(difference(C,A),C),
% j(C))),j(eta(B))),eta(B))) collapsed.
% Rule
% [1655]
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(quotient(
% difference(
% j(eta(B)),
% j(C)),j(eta(B))),
% eta(B))),j(A)))),j(C)) <->
% difference(j(C),difference(quotient(quotient(difference(C,A),C),j(C)),
% difference(j(quotient(quotient(difference(C,A),C),j(C))),
% quotient(t(quotient(quotient(difference(C,A),C),j(C)),eta(B)),
% j(quotient(quotient(difference(C,A),C),j(C))))))) collapsed.
% Rule
% [1661]
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(quotient(
% difference(
% j(eta(B)),
% i(C)),j(eta(B))),
% eta(B))),j(A)))),i(C)) <->
% difference(i(C),difference(difference(C,quotient(quotient(A,j(C)),j(j(C)))),
% difference(j(difference(C,quotient(quotient(A,j(C)),j(j(C))))),
% quotient(t(difference(C,quotient(quotient(A,j(C)),j(j(C)))),
% eta(B)),j(difference(C,quotient(quotient(A,j(C)),
% j(j(C))))))))) collapsed.
% Rule
% [1666]
% difference(A,difference(j(A),quotient(t(A,difference(j(eta(A)),quotient(
% difference(
% quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A)),
% quotient(
% quotient(
% difference(
% j(eta(A)),
% difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(eta(A))),
% eta(A))),
% j(eta(A))))),
% j(A)))) <->
% quotient(quotient(difference(j(A),quotient(difference(C,difference(j(C),
% quotient(t(C,
% quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))),
% j(C)))),B)),j(A)),
% j(j(A))) collapsed.
% Rule
% [1667]
% quotient(quotient(difference(j(A),quotient(difference(C,difference(j(C),
% quotient(t(C,
% quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))),
% j(C)))),B)),j(A)),
% j(j(A))) <->
% difference(A,difference(j(A),quotient(t(A,difference(j(eta(A)),quotient(
% difference(
% quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A)),
% quotient(
% quotient(
% difference(
% j(eta(A)),
% difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(eta(A))),
% eta(A))),
% j(eta(A))))),
% j(A)))) collapsed.
% Rule
% [1679]
% difference(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),
% t(eta(A),difference(B,difference(j(B),quotient(t(B,quotient(difference(C,
% difference(
% j(C),quotient(
% t(C,
% t(eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B)))))),
% j(C)))),B)),
% j(B)))))) <->
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))),
% j(C)))),B),eta(A)) collapsed.
% Rule
% [1680]
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))),
% j(C)))),B),eta(A)) <->
% difference(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),
% t(eta(A),difference(B,difference(j(B),quotient(t(B,quotient(difference(C,
% difference(
% j(C),quotient(
% t(C,
% t(eta(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B)))))),
% j(C)))),B)),
% j(B)))))) collapsed.
% Rule
% [1685]
% difference(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),difference(A,difference(
% j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))),
% j(C)))),B)),
% j(B))))),
% j(A))))) ->
% eta(A) collapsed.
% Rule
% [1694]
% quotient(quotient(difference(quotient(quotient(difference(j(eta(B)),C),
% j(eta(B))),eta(B)),difference(j(
% quotient(
% quotient(
% difference(
% j(
% eta(B)),C),
% j(
% eta(B))),
% eta(B))),
% quotient(t(quotient(
% quotient(
% difference(
% j(
% eta(B)),C),
% j(
% eta(B))),
% eta(B)),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(quotient(quotient(
% difference(
% j(
% eta(B)),C),
% j(
% eta(B))),
% eta(B)))))),B),A)
% <->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,quotient(
% quotient(
% difference(
% j(B),C),
% j(B)),
% j(
% j(B)))),
% j(A)))))
% collapsed.
% Rule
% [1696]
% difference(t(A,quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A))),
% difference(j(t(A,quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)))),
% quotient(t(t(A,quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A))),A),
% j(t(A,quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A))))))) ->
% quotient(quotient(difference(j(A),B),j(A)),j(j(A))) collapsed.
% Rule
% [1702]
% quotient(quotient(quotient(difference(j(eta(A)),difference(B,difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(eta(A))),eta(A)),C) <->
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,eta(A)),
% j(C)))),difference(
% j(difference(C,
% difference(
% j(C),quotient(
% t(C,
% eta(A)),
% j(C))))),
% quotient(
% t(difference(C,
% difference(
% j(C),quotient(
% t(C,
% eta(A)),
% j(C)))),B),
% j(difference(C,
% difference(
% j(C),quotient(
% t(C,
% eta(A)),
% j(C)))))))))
% collapsed.
% Rule
% [1710]
% difference(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),
% difference(j(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A))),
% quotient(t(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),
% t(eta(A),C)),j(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),
% eta(A)))))) ->
% t(eta(A),difference(B,difference(j(B),quotient(t(B,quotient(quotient(
% difference(
% j(eta(A)),C),
% j(eta(A))),
% eta(A))),j(B)))))
% collapsed.
% Rule
% [1712]
% difference(eta(A),difference(quotient(quotient(difference(j(eta(A)),B),
% j(eta(A))),eta(A)),difference(j(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),B),
% j(
% eta(A))),
% eta(A))),
% quotient(t(quotient(
% quotient(
% difference(
% j(
% eta(A)),B),
% j(
% eta(A))),
% eta(A)),C),
% j(quotient(quotient(
% difference(
% j(
% eta(A)),B),
% j(
% eta(A))),
% eta(A))))))) <->
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,eta(A)),
% j(C))))),
% j(B)))),eta(A)) collapsed.
% Rule
% [1729]
% difference(eta(A),difference(quotient(quotient(difference(j(eta(A)),j(B)),
% j(eta(A))),eta(A)),difference(j(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),
% j(B)),
% j(
% eta(A))),
% eta(A))),
% quotient(t(quotient(
% quotient(
% difference(
% j(
% eta(A)),
% j(B)),
% j(
% eta(A))),
% eta(A)),C),
% j(quotient(quotient(
% difference(
% j(
% eta(A)),
% j(B)),
% j(
% eta(A))),
% eta(A))))))) <->
% quotient(quotient(quotient(difference(B,difference(C,difference(j(C),
% quotient(t(C,eta(A)),
% j(C))))),B),j(B)),
% eta(A)) collapsed.
% Rule
% [1732]
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(quotient(
% difference(
% j(eta(B)),
% difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(eta(B))),
% eta(B))),j(A)))),C) <->
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,A),j(C)))),
% difference(j(difference(C,difference(j(C),quotient(t(C,A),j(C))))),
% quotient(t(difference(C,difference(j(C),quotient(t(C,A),j(C)))),
% i(i(B))),j(difference(C,difference(j(C),quotient(
% t(C,A),
% j(C)))))))))
% collapsed.
% Rule
% [1733]
% difference(eta(A),difference(quotient(quotient(difference(j(eta(A)),i(B)),
% j(eta(A))),eta(A)),difference(j(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),
% i(B)),
% j(
% eta(A))),
% eta(A))),
% quotient(t(quotient(
% quotient(
% difference(
% j(
% eta(A)),
% i(B)),
% j(
% eta(A))),
% eta(A)),C),
% j(quotient(quotient(
% difference(
% j(
% eta(A)),
% i(B)),
% j(
% eta(A))),
% eta(A))))))) <->
% quotient(difference(B,quotient(quotient(difference(C,difference(j(C),
% quotient(t(C,eta(A)),
% j(C)))),j(B)),j(j(B)))),
% eta(A)) collapsed.
% Rule
% [1742]
% quotient(difference(x2,difference(j(x2),quotient(difference(i(A),quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))),
% j(x2)))),quotient(difference(
% i(A),difference(x2,
% difference(
% j(x2),
% quotient(
% t(x2,difference(
% i(A),
% quotient(
% quotient(
% difference(
% j(
% eta(A)),B),
% j(
% eta(A))),
% eta(A)))),
% j(x2))))),
% difference(i(A),quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A)))))
% <->
% difference(A,difference(j(A),quotient(t(A,difference(B,difference(j(B),
% quotient(t(B,i(A)),
% j(B))))),j(A))))
% collapsed.
% Rule
% [1750]
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,quotient(
% quotient(
% difference(
% j(
% eta(C)),
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(
% eta(C))),
% eta(C))),
% j(B)))),A)),
% j(A)))) <->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% i(i(C))),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% collapsed.
% Rule
% [1757]
% quotient(t(eta(A),B),difference(eta(A),difference(quotient(quotient(difference(
% j(
% eta(A)),C),
% j(eta(A))),
% eta(A)),difference(
% j(quotient(
% quotient(
% difference(
% j(eta(A)),C),
% j(eta(A))),
% eta(A))),
% quotient(t(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),C),
% j(
% eta(A))),
% eta(A)),V_3),
% j(quotient(
% quotient(
% difference(
% j(eta(A)),C),
% j(eta(A))),
% eta(A)))))))) <->
% t(eta(A),quotient(B,difference(eta(A),difference(C,difference(j(C),quotient(
% t(C,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,
% eta(A)),
% j(V_3))))),
% j(C)))))))
% collapsed.
% Rule
% [1760]
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,quotient(
% quotient(
% difference(
% j(A),B),j(A)),
% j(j(A)))),
% j(C)))),quotient(quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))),A) <->
% difference(quotient(quotient(difference(j(A),B),j(A)),j(j(A))),difference(A,
% difference(
% j(A),quotient(
% t(A,
% difference(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),B),
% j(
% eta(A))),
% eta(A)),
% difference(
% j(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),B),
% j(
% eta(A))),
% eta(A))),
% quotient(
% t(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),B),
% j(
% eta(A))),
% eta(A)),C),
% j(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),B),
% j(
% eta(A))),
% eta(A))))))),
% j(A)))))
% collapsed.
% Rule
% [1761]
% difference(quotient(quotient(difference(j(A),B),j(A)),j(j(A))),difference(A,
% difference(
% j(A),quotient(
% t(A,
% difference(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),B),
% j(
% eta(A))),
% eta(A)),
% difference(
% j(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),B),
% j(
% eta(A))),
% eta(A))),
% quotient(
% t(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),B),
% j(
% eta(A))),
% eta(A)),C),
% j(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),B),
% j(
% eta(A))),
% eta(A))))))),
% j(A)))))
% <->
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,quotient(
% quotient(
% difference(
% j(A),B),j(A)),
% j(j(A)))),
% j(C)))),quotient(quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))),A) collapsed.
% Rule
% [1763]
% quotient(quotient(quotient(difference(j(eta(A)),difference(A,difference(
% j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),
% j(eta(A))),eta(A)),C) <->
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,i(i(A))),
% j(C)))),difference(
% j(difference(C,
% difference(
% j(C),quotient(
% t(C,
% i(
% i(A))),
% j(C))))),
% quotient(
% t(difference(C,
% difference(
% j(C),quotient(
% t(C,
% i(
% i(A))),
% j(C)))),B),
% j(difference(C,
% difference(
% j(C),quotient(
% t(C,
% i(
% i(A))),
% j(C)))))))))
% collapsed.
% Rule
% [1765]
% difference(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),
% difference(j(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A))),
% quotient(t(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)),C),
% j(quotient(quotient(difference(j(eta(A)),B),j(eta(A))),eta(A)))))) <->
% t(eta(A),difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,eta(A)),
% j(C))))),
% j(B))))) collapsed.
% Rule
% [1775]
% quotient(difference(quotient(quotient(quotient(difference(j(eta(A)),difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(
% j(B),
% quotient(
% t(B,A),
% j(B))),A)),
% j(A))))),
% j(eta(A))),eta(A)),B),quotient(
% quotient(
% difference(
% j(eta(A)),
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(eta(A))),
% eta(A))),B) ->
% quotient(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))))
% collapsed.
% Rule
% [1780]
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(quotient(
% difference(
% j(eta(B)),
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B))))),
% j(eta(B))),
% eta(B)),A)),j(A)))) <->
% difference(difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A)))))))) collapsed.
% Rule
% [1782]
% quotient(quotient(quotient(difference(j(eta(difference(A,difference(j(A),
% quotient(t(A,B),
% j(A)))))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A))))),
% j(eta(difference(A,difference(j(A),quotient(t(A,B),j(A))))))),
% eta(difference(A,difference(j(A),quotient(t(A,B),j(A)))))),C) ->
% i(i(difference(A,difference(j(A),quotient(t(A,B),j(A)))))) collapsed.
% Rule
% [1792]
% difference(j(t(eta(A),quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))))),quotient(t(eta(A),quotient(C,quotient(
% quotient(
% difference(
% j(B),eta(A)),
% j(B)),j(j(B))))),
% j(quotient(quotient(difference(j(eta(A)),
% j(j(B))),j(eta(A))),
% eta(A))))) ->
% t(eta(A),difference(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% difference(j(quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B)))),quotient(t(quotient(quotient(difference(
% j(B),eta(A)),
% j(B)),j(j(B))),C),
% j(quotient(quotient(difference(j(B),eta(A)),
% j(B)),j(j(B)))))))) collapsed.
% Rule
% [1793]
% difference(j(quotient(quotient(difference(j(eta(A)),j(j(B))),j(eta(A))),
% eta(A))),t(eta(A),quotient(quotient(C,quotient(quotient(
% difference(
% j(B),eta(A)),
% j(B)),j(j(B)))),
% j(quotient(quotient(difference(j(B),eta(A)),
% j(B)),j(j(B))))))) <->
% t(eta(A),difference(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% difference(j(quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B)))),quotient(t(quotient(quotient(difference(
% j(B),eta(A)),
% j(B)),j(j(B))),C),
% j(quotient(quotient(difference(j(B),eta(A)),
% j(B)),j(j(B)))))))) collapsed.
% Rule
% [1797]
% quotient(quotient(quotient(difference(j(eta(A)),difference(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A))))))))),
% j(eta(A))),eta(A)),quotient(difference(B,difference(
% j(B),quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A))
% -> i(i(A)) collapsed.
% Rule
% [1813]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% difference(
% eta(A),
% difference(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),C),
% j(
% eta(A))),
% eta(A)),
% difference(
% j(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),C),
% j(
% eta(A))),
% eta(A))),
% quotient(
% t(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),C),
% j(
% eta(A))),
% eta(A)),V_3),
% j(
% quotient(
% quotient(
% difference(
% j(
% eta(A)),C),
% j(
% eta(A))),
% eta(A))))))),
% j(
% eta(A))))))))
% <->
% t(eta(A),difference(B,difference(eta(A),difference(C,difference(j(C),
% quotient(t(C,difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,
% eta(A)),
% j(V_3))))),
% j(C))))))) collapsed.
% Rule
% [1814]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A)),
% difference(j(quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))),
% quotient(t(quotient(
% quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A)),C),
% j(quotient(quotient(
% difference(
% j(eta(A)),B),
% j(eta(A))),
% eta(A))))))),j(A)))),
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,eta(A)),
% j(C))))),
% j(B)))),eta(A))) -> j(j(A)) collapsed.
% Rule
% [1823]
% difference(difference(eta(B),difference(j(eta(B)),quotient(C,j(eta(B))))),
% quotient(quotient(difference(j(eta(B)),difference(difference(eta(B),difference(
% eta(B),
% difference(
% j(
% eta(B)),
% quotient(C,
% j(
% eta(B)))))),
% difference(j(difference(eta(B),
% difference(eta(B),
% difference(j(eta(B)),
% quotient(C,j(eta(B))))))),
% quotient(t(difference(eta(B),difference(
% eta(B),
% difference(
% j(
% eta(B)),
% quotient(C,
% j(
% eta(B)))))),A),
% j(difference(eta(B),difference(
% eta(B),difference(
% j(eta(B)),
% quotient(C,
% j(eta(B))))))))))),
% j(eta(B))),eta(B))) <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(
% eta(B),difference(
% j(
% eta(B)),
% quotient(C,
% j(
% eta(B)))))),
% j(A)))),difference(eta(B),
% difference(eta(B),
% difference(j(eta(B)),
% quotient(C,j(eta(B))))))),
% eta(B)) collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% difference(x0,quotient(quotient(difference(j(x0),quotient(difference(
% i(x1),quotient(
% difference(
% j(x2),
% j(j(x2))),
% quotient(
% difference(x1,
% difference(
% j(x2),
% j(j(x2)))),x2))),x1)),
% j(x0)),j(j(x0)))) = t(eta(x0),difference(x1,difference(
% j(x1),
% quotient(
% t(x1,
% quotient(
% difference(
% j(x2),
% j(
% j(x2))),
% quotient(
% difference(
% eta(x0),
% difference(
% j(x2),
% j(
% j(x2)))),x2))),
% j(x1)))))
%
% Current number of equations to process: 182
% Current number of ordered equations: 0
% Current number of rules: 1176
% New rule produced :
% [1828]
% i(difference(B,quotient(quotient(difference(j(B),A),j(B)),j(j(B))))) ->
% quotient(i(A),eta(B))
% Current number of equations to process: 181
% Current number of ordered equations: 0
% Current number of rules: 1177
% New rule produced :
% [1829]
% quotient(difference(A,quotient(quotient(difference(j(A),B),j(A)),j(j(A)))),
% eta(A)) -> t(eta(A),B)
% Current number of equations to process: 180
% Current number of ordered equations: 0
% Current number of rules: 1178
% New rule produced :
% [1830]
% quotient(difference(A,quotient(quotient(difference(j(A),B),j(A)),j(j(A)))),
% difference(A,B)) -> i(i(A))
% Current number of equations to process: 179
% Current number of ordered equations: 0
% Current number of rules: 1179
% New rule produced :
% [1831]
% difference(i(i(A)),difference(A,quotient(quotient(difference(j(A),B),j(A)),
% j(j(A))))) -> difference(A,B)
% Current number of equations to process: 178
% Current number of ordered equations: 0
% Current number of rules: 1180
% New rule produced :
% [1832]
% difference(A,quotient(quotient(difference(j(A),difference(j(j(A)),B)),j(A)),
% j(j(A)))) -> difference(A,B)
% Current number of equations to process: 177
% Current number of ordered equations: 0
% Current number of rules: 1181
% New rule produced :
% [1833]
% difference(difference(B,quotient(quotient(difference(j(B),A),j(B)),j(j(B)))),B)
% -> quotient(difference(A,j(j(j(j(B))))),eta(B))
% Current number of equations to process: 175
% Current number of ordered equations: 0
% Current number of rules: 1182
% New rule produced :
% [1834]
% quotient(difference(A,quotient(quotient(difference(j(A),B),j(A)),j(j(A)))),
% i(i(A))) -> t(i(i(A)),difference(A,B))
% Current number of equations to process: 174
% Current number of ordered equations: 0
% Current number of rules: 1183
% New rule produced :
% [1835]
% difference(difference(B,quotient(quotient(difference(j(B),A),j(B)),j(j(B)))),
% i(i(B))) -> quotient(difference(A,j(j(B))),eta(B))
% Current number of equations to process: 173
% Current number of ordered equations: 0
% Current number of rules: 1184
% New rule produced :
% [1836]
% difference(difference(B,quotient(quotient(difference(j(B),A),j(B)),j(j(B)))),
% j(B)) -> quotient(difference(A,j(j(j(j(j(B)))))),eta(B))
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 1185
% New rule produced :
% [1837]
% difference(A,difference(A,quotient(quotient(difference(j(A),quotient(B,A)),
% j(A)),j(j(A))))) ->
% quotient(quotient(quotient(difference(A,B),A),j(A)),A)
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 1186
% New rule produced :
% [1838]
% difference(eta(A),quotient(difference(A,quotient(quotient(difference(
% j(A),quotient(A,
% i(A))),
% j(A)),j(j(A)))),A)) ->
% j(j(A))
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 1187
% New rule produced :
% [1839]
% t(eta(A),difference(B,quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))))) <->
% difference(A,quotient(quotient(difference(j(A),eta(B)),j(A)),j(j(A))))
% Current number of equations to process: 168
% Current number of ordered equations: 1
% Current number of rules: 1188
% New rule produced :
% [1840]
% difference(A,quotient(quotient(difference(j(A),eta(B)),j(A)),j(j(A)))) <->
% t(eta(A),difference(B,quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B)))))
% Current number of equations to process: 168
% Current number of ordered equations: 0
% Current number of rules: 1189
% New rule produced :
% [1841]
% difference(j(B),t(i(B),A)) ->
% quotient(quotient(quotient(A,j(B)),j(j(B))),i(B))
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 1190
% New rule produced :
% [1842]
% quotient(difference(A,quotient(quotient(difference(j(A),quotient(quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A)))),j(A)),
% j(j(A)))),B) -> A
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 1191
% New rule produced :
% [1843]
% difference(A,difference(A,quotient(quotient(difference(j(A),quotient(
% quotient(
% difference(
% j(A),B),j(A)),
% j(j(A)))),
% j(A)),j(j(A))))) -> B
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 1192
% Rule [1379]
% difference(i(A),t(eta(A),difference(B,difference(j(B),quotient(t(B,
% eta(A)),
% j(B)))))) <->
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,
% difference(j(B),
% quotient(t(B,i(A)),
% j(B))))),j(A)))),
% i(A)) is composed into [1379]
% difference(i(A),t(eta(A),difference(B,difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))))
% <->
% difference(j(A),quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,
% i(A)),
% j(B)))),
% i(A)))
% Rule [722]
% difference(i(A),difference(eta(A),difference(j(eta(A)),quotient(
% i(i(t(eta(A),B))),
% j(eta(A)))))) <->
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,
% quotient(quotient(
% difference(
% j(B),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% i(A)),
% j(B))))),
% j(B)),
% j(j(B))))),j(A)))),
% i(A)) is composed into [722]
% difference(i(A),difference(eta(A),difference(
% j(eta(A)),
% quotient(
% i(i(t(eta(A),B))),
% j(eta(A))))))
% <->
% difference(j(A),quotient(difference(B,quotient(
% quotient(
% difference(
% j(B),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% i(A)),
% j(B))))),
% j(B)),
% j(j(B)))),
% i(A)))
% New rule produced :
% [1844]
% quotient(difference(A,difference(j(A),quotient(t(A,B),j(A)))),i(A)) ->
% difference(j(A),quotient(B,i(A)))
% Rule
% [719]
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(quotient(
% difference(
% j(B),i(A)),
% j(B)),j(j(B)))),
% j(A)))),i(A)) <->
% difference(i(A),difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A))))) collapsed.
% Rule
% [920]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(A,
% quotient(
% quotient(B,
% j(A)),
% j(
% j(A))))),
% j(C)))),B)),
% j(B))))),
% j(A)))),i(A)) <->
% difference(i(A),difference(A,quotient(quotient(difference(j(A),difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(A)),j(j(A))))) collapsed.
% Rule
% [1259]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,i(A)),
% j(B))))),
% j(A)))),i(A)) <->
% difference(i(A),difference(A,quotient(quotient(difference(j(A),B),j(A)),
% j(j(A))))) collapsed.
% Rule
% [1380]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,i(A)),
% j(B))))),
% j(A)))),i(A)) <->
% difference(i(A),t(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),
% j(B)))))) collapsed.
% Rule
% [1410]
% t(i(A),quotient(difference(A,difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),quotient(
% t(B,i(A)),
% j(B))))),
% j(A)))),i(A))) ->
% quotient(difference(A,quotient(quotient(difference(j(A),B),j(A)),j(j(A)))),
% i(A)) collapsed.
% Rule
% [1470]
% difference(A,quotient(quotient(quotient(difference(A,difference(j(A),
% quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% i(A)),
% j(B))))),
% j(A)))),i(A)),j(A)),
% j(j(A)))) ->
% difference(A,quotient(quotient(difference(j(A),B),j(A)),j(j(A)))) collapsed.
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 1187
% New rule produced :
% [1845]
% difference(A,quotient(t(i(A),difference(j(A),B)),A)) ->
% quotient(quotient(difference(A,B),A),j(A))
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 1188
% Rule [722]
% difference(i(A),difference(eta(A),difference(j(eta(A)),quotient(
% i(i(t(eta(A),B))),
% j(eta(A)))))) <->
% difference(j(A),quotient(difference(B,quotient(quotient(difference(
% j(B),difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% i(A)),
% j(B))))),
% j(B)),j(j(B)))),i(A))) is composed into
% [722]
% difference(i(A),difference(eta(A),difference(j(eta(A)),quotient(i(i(t(
% eta(A),B))),
% j(eta(A)))))) ->
% difference(j(A),i(i(B)))
% New rule produced :
% [1846]
% quotient(difference(A,quotient(quotient(difference(j(A),difference(A,
% difference(j(A),
% quotient(t(A,B),
% j(A))))),j(A)),
% j(j(A)))),B) -> i(i(A))
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 1189
% New rule produced :
% [1847]
% quotient(difference(A,quotient(quotient(difference(j(A),quotient(quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A)))),j(A)),
% j(j(A)))),A) -> t(A,B)
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 1190
% New rule produced :
% [1848]
% difference(i(A),t(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),
% j(B)))))) ->
% difference(j(A),B)
% Rule
% [1379]
% difference(i(A),t(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),
% j(B)))))) <->
% difference(j(A),quotient(difference(B,difference(j(B),quotient(t(B,i(A)),
% j(B)))),i(A)))
% collapsed.
% Current number of equations to process: 158
% Current number of ordered equations: 0
% Current number of rules: 1190
% New rule produced :
% [1849]
% t(eta(A),t(eta(B),difference(A,quotient(quotient(difference(j(A),eta(B)),
% j(A)),j(j(A)))))) ->
% difference(A,quotient(quotient(difference(j(A),eta(B)),j(A)),j(j(A))))
% Current number of equations to process: 157
% Current number of ordered equations: 0
% Current number of rules: 1191
% New rule produced :
% [1850]
% quotient(difference(i(difference(A,B)),difference(A,quotient(quotient(
% difference(
% j(A),difference(A,B)),
% j(A)),j(j(A))))),
% difference(A,B)) ->
% difference(A,difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))))
% Current number of equations to process: 152
% Current number of ordered equations: 0
% Current number of rules: 1192
% New rule produced :
% [1851]
% quotient(difference(A,quotient(quotient(difference(j(A),difference(B,
% difference(j(B),
% quotient(t(B,A),
% j(B))))),j(A)),
% j(j(A)))),A) ->
% difference(A,quotient(quotient(difference(j(A),B),j(A)),j(j(A))))
% Current number of equations to process: 151
% Current number of ordered equations: 0
% Current number of rules: 1193
% New rule produced :
% [1852]
% quotient(difference(i(quotient(A,i(i(B)))),difference(B,quotient(quotient(
% difference(
% j(B),
% quotient(A,
% i(i(B)))),
% j(B)),
% j(j(B))))),quotient(A,
% i(
% i(B)))) ->
% quotient(A,B)
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 1194
% New rule produced :
% [1853]
% difference(j(A),quotient(t(eta(B),difference(A,quotient(quotient(eta(B),j(A)),
% j(j(A))))),i(A))) ->
% difference(j(A),eta(B))
% Current number of equations to process: 146
% Current number of ordered equations: 0
% Current number of rules: 1195
% New rule produced :
% [1854]
% difference(A,quotient(quotient(difference(j(A),eta(B)),j(A)),j(j(A)))) <->
% quotient(t(eta(A),difference(B,quotient(quotient(difference(j(B),difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(B)),j(j(B))))),B)
% Current number of equations to process: 145
% Current number of ordered equations: 1
% Current number of rules: 1196
% New rule produced :
% [1855]
% quotient(t(eta(A),difference(B,quotient(quotient(difference(j(B),difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(B)),j(j(B))))),B) <->
% difference(A,quotient(quotient(difference(j(A),eta(B)),j(A)),j(j(A))))
% Current number of equations to process: 145
% Current number of ordered equations: 0
% Current number of rules: 1197
% New rule produced :
% [1856]
% quotient(difference(A,difference(j(A),quotient(t(A,t(eta(B),difference(A,
% quotient(
% quotient(
% difference(
% j(A),eta(B)),
% j(A)),j(j(A)))))),
% j(A)))),eta(A)) ->
% difference(A,difference(j(A),quotient(t(A,eta(B)),j(A))))
% Current number of equations to process: 144
% Current number of ordered equations: 0
% Current number of rules: 1198
% New rule produced :
% [1857]
% difference(difference(A,quotient(quotient(difference(j(A),B),j(A)),j(j(A)))),
% t(eta(A),difference(C,difference(j(C),quotient(t(C,eta(A)),j(C)))))) ->
% quotient(difference(B,difference(C,difference(j(C),quotient(t(C,eta(A)),j(C))))),
% eta(A))
% Current number of equations to process: 143
% Current number of ordered equations: 0
% Current number of rules: 1199
% New rule produced :
% [1858]
% quotient(difference(A,quotient(quotient(difference(j(A),difference(A,
% difference(j(A),
% quotient(t(A,i(i(B))),
% j(A))))),j(A)),
% j(j(A)))),B) ->
% difference(A,quotient(quotient(difference(j(A),difference(A,difference(
% j(A),quotient(
% t(A,
% eta(B)),
% j(A))))),
% j(A)),j(j(A))))
% Current number of equations to process: 142
% Current number of ordered equations: 0
% Current number of rules: 1200
% New rule produced :
% [1859]
% difference(difference(j(A),B),difference(A,difference(j(A),quotient(t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% i(A)),
% j(B))))),
% j(A))))) ->
% i(A)
% Current number of equations to process: 139
% Current number of ordered equations: 0
% Current number of rules: 1201
% New rule produced :
% [1860]
% quotient(quotient(difference(difference(A,quotient(quotient(difference(
% j(A),eta(B)),
% j(A)),j(j(A)))),difference(
% eta(B),
% difference(
% eta(B),
% difference(
% j(
% eta(B)),
% quotient(
% difference(
% j(
% t(
% eta(B),
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),
% eta(B)),
% j(A)),
% j(
% j(A)))))),
% quotient(
% t(
% t(
% eta(B),
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),
% eta(B)),
% j(A)),
% j(
% j(A))))),A),
% j(
% t(
% eta(B),
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),
% eta(B)),
% j(A)),
% j(
% j(A)))))))),
% j(
% eta(B))))))),
% eta(B)),A) -> eta(A)
% Current number of equations to process: 138
% Current number of ordered equations: 0
% Current number of rules: 1202
% New rule produced :
% [1861]
% quotient(difference(i(t(i(i(A)),B)),difference(A,quotient(quotient(difference(
% j(A),
% t(
% i(i(A)),B)),
% j(A)),j(j(A))))),
% t(i(i(A)),B)) ->
% quotient(difference(A,quotient(quotient(difference(j(A),difference(A,
% difference(j(A),
% quotient(t(A,B),
% j(A))))),j(A)),
% j(j(A)))),A)
% Current number of equations to process: 135
% Current number of ordered equations: 0
% Current number of rules: 1203
% New rule produced :
% [1862]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,quotient(
% quotient(
% difference(
% j(B),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,eta(A)),
% j(B))))),
% j(B)),
% j(j(B))))),
% j(A)))),eta(A)) ->
% difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A))))
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 1204
% New rule produced :
% [1863]
% t(eta(A),quotient(difference(B,difference(eta(A),difference(eta(A),difference(
% j(
% eta(A)),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(
% difference(
% j(B),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(B))),
% j(
% j(
% t(
% eta(A),B)))),
% j(
% eta(A))))))),C))
% -> i(i(t(eta(A),B)))
% Current number of equations to process: 133
% Current number of ordered equations: 0
% Current number of rules: 1205
% New rule produced :
% [1864]
% difference(difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A)))),
% difference(A,difference(j(A),quotient(t(A,difference(B,quotient(quotient(
% difference(
% j(B),
% quotient(B,
% i(B))),
% j(B)),
% j(j(B))))),j(A))))) ->
% quotient(t(i(i(B)),difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A))))),A)
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 1206
% New rule produced :
% [1865]
% t(eta(A),difference(B,difference(j(B),quotient(t(B,quotient(difference(C,
% difference(
% j(C),quotient(
% t(C,
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A))))),
% j(C)))),B)),
% j(B))))) <->
% difference(A,quotient(quotient(difference(j(A),difference(B,difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(A)),j(j(A))))
% Current number of equations to process: 130
% Current number of ordered equations: 1
% Current number of rules: 1207
% New rule produced :
% [1866]
% difference(A,quotient(quotient(difference(j(A),difference(B,difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(A)),j(j(A)))) <->
% t(eta(A),difference(B,difference(j(B),quotient(t(B,quotient(difference(C,
% difference(
% j(C),quotient(
% t(C,
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A))))),
% j(C)))),B)),
% j(B)))))
% Current number of equations to process: 130
% Current number of ordered equations: 0
% Current number of rules: 1208
% New rule produced :
% [1867]
% difference(i(i(i(A))),difference(A,quotient(quotient(difference(j(A),B),j(A)),
% j(j(A))))) <->
% quotient(difference(A,quotient(quotient(difference(j(A),difference(A,
% difference(j(A),
% quotient(t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% i(i(i(A)))),
% j(B))))),
% j(A))))),j(A)),
% j(j(A)))),i(i(i(A))))
% Current number of equations to process: 128
% Current number of ordered equations: 1
% Current number of rules: 1209
% New rule produced :
% [1868]
% quotient(difference(A,quotient(quotient(difference(j(A),difference(A,
% difference(j(A),
% quotient(t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% i(i(i(A)))),
% j(B))))),
% j(A))))),j(A)),
% j(j(A)))),i(i(i(A)))) <->
% difference(i(i(i(A))),difference(A,quotient(quotient(difference(j(A),B),j(A)),
% j(j(A)))))
% Current number of equations to process: 128
% Current number of ordered equations: 0
% Current number of rules: 1210
% New rule produced :
% [1869]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(B,
% quotient(
% quotient(
% difference(
% j(B),j(C)),
% j(B)),j(j(B))))),
% j(A)))),j(C)),eta(B)) <->
% difference(difference(B,quotient(quotient(difference(j(B),j(C)),j(B)),
% j(j(B)))),difference(B,quotient(quotient(difference(
% j(B),
% quotient(
% quotient(
% difference(C,A),C),
% j(C))),
% j(B)),j(j(B)))))
% Current number of equations to process: 127
% Current number of ordered equations: 1
% Current number of rules: 1211
% New rule produced :
% [1870]
% difference(difference(B,quotient(quotient(difference(j(B),j(C)),j(B)),
% j(j(B)))),difference(B,quotient(quotient(difference(
% j(B),
% quotient(
% quotient(
% difference(C,A),C),
% j(C))),
% j(B)),j(j(B))))) <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(B,
% quotient(
% quotient(
% difference(
% j(B),j(C)),
% j(B)),j(j(B))))),
% j(A)))),j(C)),eta(B))
% Current number of equations to process: 127
% Current number of ordered equations: 0
% Current number of rules: 1212
% New rule produced :
% [1871]
% difference(j(A),quotient(difference(B,difference(j(B),quotient(t(B,quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(A,
% quotient(
% quotient(B,
% j(A)),
% j(
% j(A))))),
% j(C)))),B)),
% j(B)))),i(A))) ->
% difference(j(A),difference(B,difference(j(B),quotient(t(B,C),j(B)))))
% Current number of equations to process: 125
% Current number of ordered equations: 0
% Current number of rules: 1213
% New rule produced :
% [1872]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(B,
% quotient(
% quotient(
% difference(
% j(B),C),j(B)),
% j(j(B))))),
% j(A)))),C),eta(B)) <->
% difference(difference(B,quotient(quotient(difference(j(B),C),j(B)),j(j(B)))),
% difference(B,quotient(quotient(difference(j(B),difference(C,difference(
% j(C),quotient(
% t(C,A),
% j(C))))),
% j(B)),j(j(B)))))
% Current number of equations to process: 124
% Current number of ordered equations: 1
% Current number of rules: 1214
% New rule produced :
% [1873]
% difference(difference(B,quotient(quotient(difference(j(B),C),j(B)),j(j(B)))),
% difference(B,quotient(quotient(difference(j(B),difference(C,difference(
% j(C),quotient(
% t(C,A),
% j(C))))),
% j(B)),j(j(B))))) <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(B,
% quotient(
% quotient(
% difference(
% j(B),C),j(B)),
% j(j(B))))),
% j(A)))),C),eta(B))
% Current number of equations to process: 124
% Current number of ordered equations: 0
% Current number of rules: 1215
% New rule produced :
% [1874]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(B,
% quotient(
% quotient(
% difference(
% j(B),i(C)),
% j(B)),j(j(B))))),
% j(A)))),i(C)),eta(B)) <->
% difference(difference(B,quotient(quotient(difference(j(B),i(C)),j(B)),
% j(j(B)))),difference(B,quotient(quotient(difference(
% j(B),
% difference(C,
% quotient(
% quotient(A,
% j(C)),
% j(j(C))))),
% j(B)),j(j(B)))))
% Current number of equations to process: 123
% Current number of ordered equations: 1
% Current number of rules: 1216
% New rule produced :
% [1875]
% difference(difference(B,quotient(quotient(difference(j(B),i(C)),j(B)),
% j(j(B)))),difference(B,quotient(quotient(difference(
% j(B),
% difference(C,
% quotient(
% quotient(A,
% j(C)),
% j(j(C))))),
% j(B)),j(j(B))))) <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(B,
% quotient(
% quotient(
% difference(
% j(B),i(C)),
% j(B)),j(j(B))))),
% j(A)))),i(C)),eta(B))
% Current number of equations to process: 123
% Current number of ordered equations: 0
% Current number of rules: 1217
% New rule produced : [1876] t(quotient(A,i(A)),i(A)) -> j(A)
% Current number of equations to process: 127
% Current number of ordered equations: 0
% Current number of rules: 1218
% New rule produced : [1877] quotient(i(A),i(i(A))) -> quotient(j(A),A)
% Current number of equations to process: 126
% Current number of ordered equations: 0
% Current number of rules: 1219
% New rule produced : [1878] t(j(A),quotient(A,i(A))) -> quotient(A,j(A))
% Current number of equations to process: 125
% Current number of ordered equations: 0
% Current number of rules: 1220
% New rule produced :
% [1879]
% quotient(difference(j(quotient(A,i(A))),quotient(j(A),j(quotient(A,i(A))))),A)
% -> quotient(A,i(A))
% Current number of equations to process: 125
% Current number of ordered equations: 0
% Current number of rules: 1221
% New rule produced :
% [1880]
% difference(difference(j(A),j(j(A))),difference(A,difference(j(A),quotient(
% t(A,
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A)))),
% j(A))))) ->
% difference(A,quotient(quotient(difference(j(A),difference(difference(
% j(A),j(j(A))),
% difference(j(A),quotient(
% t(A,B),
% j(A))))),
% j(A)),j(j(A))))
% Current number of equations to process: 124
% Current number of ordered equations: 0
% Current number of rules: 1222
% New rule produced : [1881] quotient(j(eta(A)),j(j(A))) -> t(j(j(A)),i(A))
% Rule
% [764] quotient(difference(A,quotient(j(eta(A)),j(j(A)))),j(j(j(A)))) -> i(A)
% collapsed.
% Rule
% [815]
% quotient(difference(A,quotient(j(eta(A)),j(j(A)))),i(A)) ->
% t(i(A),j(j(j(A)))) collapsed.
% Rule
% [980]
% difference(j(A),difference(j(j(A)),quotient(j(eta(A)),j(j(A))))) ->
% j(j(j(A))) collapsed.
% Rule
% [1428]
% difference(eta(A),difference(A,quotient(j(eta(A)),j(j(A))))) ->
% quotient(quotient(difference(A,quotient(quotient(difference(eta(A),j(j(j(A)))),
% eta(A)),j(eta(A)))),A),i(A))
% collapsed.
% Current number of equations to process: 128
% Current number of ordered equations: 0
% Current number of rules: 1219
% New rule produced :
% [1882] quotient(difference(A,t(j(j(A)),i(A))),j(j(j(A)))) -> i(A)
% Current number of equations to process: 127
% Current number of ordered equations: 0
% Current number of rules: 1220
% New rule produced :
% [1883] quotient(difference(A,t(j(j(A)),i(A))),i(A)) -> t(i(A),j(j(j(A))))
% Current number of equations to process: 126
% Current number of ordered equations: 0
% Current number of rules: 1221
% New rule produced :
% [1884] difference(j(A),difference(j(j(A)),t(j(j(A)),i(A)))) -> j(j(j(A)))
% Current number of equations to process: 125
% Current number of ordered equations: 0
% Current number of rules: 1222
% New rule produced :
% [1885]
% difference(eta(A),difference(A,t(j(j(A)),i(A)))) ->
% quotient(quotient(difference(A,quotient(quotient(difference(eta(A),j(j(j(A)))),
% eta(A)),j(eta(A)))),A),i(A))
% Current number of equations to process: 124
% Current number of ordered equations: 0
% Current number of rules: 1223
% New rule produced : [1886] t(A,j(eta(A))) -> eta(A)
% Rule
% [644] difference(A,difference(j(A),quotient(t(A,j(eta(A))),j(A)))) -> i(i(A))
% collapsed.
% Current number of equations to process: 124
% Current number of ordered equations: 0
% Current number of rules: 1223
% New rule produced :
% [1887]
% difference(i(B),quotient(quotient(difference(B,quotient(quotient(difference(
% eta(B),A),
% eta(B)),j(eta(B)))),B),
% j(B))) <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,i(B)),j(A)))),
% j(eta(B))),j(B))
% Current number of equations to process: 125
% Current number of ordered equations: 1
% Current number of rules: 1224
% New rule produced :
% [1888]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,i(B)),j(A)))),
% j(eta(B))),j(B)) <->
% difference(i(B),quotient(quotient(difference(B,quotient(quotient(difference(
% eta(B),A),
% eta(B)),j(eta(B)))),B),
% j(B)))
% Current number of equations to process: 125
% Current number of ordered equations: 0
% Current number of rules: 1225
% New rule produced :
% [1889]
% quotient(quotient(quotient(quotient(difference(eta(A),difference(B,difference(
% j(B),
% quotient(
% t(B,
% j(A)),
% j(B))))),
% eta(A)),j(eta(A))),j(A)),B) <->
% quotient(difference(j(A),difference(A,quotient(quotient(B,j(A)),j(j(A))))),B)
% Current number of equations to process: 124
% Current number of ordered equations: 1
% Current number of rules: 1226
% New rule produced :
% [1890]
% quotient(difference(j(A),difference(A,quotient(quotient(B,j(A)),j(j(A))))),B)
% <->
% quotient(quotient(quotient(quotient(difference(eta(A),difference(B,difference(
% j(B),
% quotient(
% t(B,
% j(A)),
% j(B))))),
% eta(A)),j(eta(A))),j(A)),B)
% Current number of equations to process: 124
% Current number of ordered equations: 0
% Current number of rules: 1227
% New rule produced :
% [1891]
% difference(j(A),difference(A,quotient(quotient(B,j(A)),j(j(A))))) <->
% quotient(quotient(quotient(difference(eta(A),difference(B,difference(
% j(B),quotient(
% t(B,j(A)),
% j(B))))),
% eta(A)),j(eta(A))),j(A))
% Rule
% [1890]
% quotient(difference(j(A),difference(A,quotient(quotient(B,j(A)),j(j(A))))),B)
% <->
% quotient(quotient(quotient(quotient(difference(eta(A),difference(B,difference(
% j(B),
% quotient(
% t(B,
% j(A)),
% j(B))))),
% eta(A)),j(eta(A))),j(A)),B) collapsed.
% Current number of equations to process: 124
% Current number of ordered equations: 1
% Current number of rules: 1227
% New rule produced :
% [1892]
% quotient(quotient(quotient(difference(eta(A),difference(B,difference(
% j(B),quotient(
% t(B,j(A)),
% j(B))))),
% eta(A)),j(eta(A))),j(A)) <->
% difference(j(A),difference(A,quotient(quotient(B,j(A)),j(j(A)))))
% Rule
% [1889]
% quotient(quotient(quotient(quotient(difference(eta(A),difference(B,difference(
% j(B),
% quotient(
% t(B,
% j(A)),
% j(B))))),
% eta(A)),j(eta(A))),j(A)),B) <->
% quotient(difference(j(A),difference(A,quotient(quotient(B,j(A)),j(j(A))))),B)
% collapsed.
% Current number of equations to process: 124
% Current number of ordered equations: 0
% Current number of rules: 1227
% New rule produced :
% [1893]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,i(A)),
% j(B))))),
% j(A)))),difference(j(A),B)) ->
% t(difference(j(A),B),i(A))
% Current number of equations to process: 124
% Current number of ordered equations: 0
% Current number of rules: 1228
% New rule produced :
% [1894] quotient(i(A),t(eta(A),B)) -> t(eta(A),quotient(j(j(j(A))),B))
% Current number of equations to process: 128
% Current number of ordered equations: 0
% Current number of rules: 1229
% New rule produced :
% [1895] difference(i(A),t(eta(A),B)) -> t(eta(A),difference(j(j(j(A))),B))
% Rule
% [1848]
% difference(i(A),t(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),
% j(B)))))) ->
% difference(j(A),B) collapsed.
% Current number of equations to process: 128
% Current number of ordered equations: 0
% Current number of rules: 1229
% New rule produced :
% [1896]
% quotient(difference(j(j(j(j(A)))),quotient(eta(A),j(j(j(j(A)))))),j(A)) ->
% j(j(j(A)))
% Current number of equations to process: 127
% Current number of ordered equations: 0
% Current number of rules: 1230
% New rule produced :
% [1897]
% t(eta(A),difference(j(j(j(A))),difference(B,difference(j(B),quotient(
% t(B,eta(A)),
% j(B)))))) ->
% difference(j(A),B)
% Current number of equations to process: 126
% Current number of ordered equations: 0
% Current number of rules: 1231
% New rule produced : [1898] quotient(j(eta(A)),i(i(A))) -> j(A)
% Current number of equations to process: 128
% Current number of ordered equations: 0
% Current number of rules: 1232
% New rule produced : [1899] difference(j(j(A)),j(eta(A))) -> i(A)
% Current number of equations to process: 128
% Current number of ordered equations: 0
% Current number of rules: 1233
% New rule produced : [1900] difference(t(j(j(A)),i(A)),j(eta(A))) -> j(j(A))
% Current number of equations to process: 128
% Current number of ordered equations: 0
% Current number of rules: 1234
% New rule produced :
% [1901] quotient(j(eta(A)),t(j(j(A)),i(A))) -> t(t(j(j(A)),i(A)),j(j(A)))
% Current number of equations to process: 127
% Current number of ordered equations: 0
% Current number of rules: 1235
% New rule produced :
% [1902] difference(t(t(j(j(A)),i(A)),j(j(A))),j(eta(A))) -> t(j(j(A)),i(A))
% Current number of equations to process: 126
% Current number of ordered equations: 0
% Current number of rules: 1236
% New rule produced :
% [1903]
% quotient(difference(i(A),quotient(A,i(A))),quotient(A,i(A))) -> i(i(A))
% Current number of equations to process: 126
% Current number of ordered equations: 0
% Current number of rules: 1237
% New rule produced : [1904] difference(i(quotient(A,i(A))),i(A)) -> A
% Current number of equations to process: 127
% Current number of ordered equations: 0
% Current number of rules: 1238
% New rule produced : [1905] quotient(i(i(A)),quotient(A,i(A))) -> i(A)
% Current number of equations to process: 127
% Current number of ordered equations: 0
% Current number of rules: 1239
% New rule produced :
% [1906] quotient(i(A),i(quotient(A,i(A)))) -> t(i(quotient(A,i(A))),A)
% Current number of equations to process: 129
% Current number of ordered equations: 0
% Current number of rules: 1240
% Rule [1504]
% difference(difference(quotient(eta(A),j(eta(A))),quotient(quotient(
% eta(A),
% j(quotient(
% eta(A),
% j(eta(A))))),
% j(j(quotient(eta(A),
% j(eta(A))))))),
% eta(quotient(eta(A),j(eta(A))))) ->
% quotient(j(eta(A)),i(quotient(eta(A),j(eta(A))))) is composed into
% [1504]
% difference(difference(quotient(eta(A),j(eta(A))),quotient(quotient(eta(A),
% j(quotient(
% eta(A),j(eta(A))))),
% j(j(quotient(eta(A),
% j(eta(A))))))),eta(
% quotient(
% eta(A),
% j(
% eta(A)))))
% -> eta(A)
% New rule produced :
% [1907] quotient(j(eta(A)),i(quotient(eta(A),j(eta(A))))) -> eta(A)
% Current number of equations to process: 128
% Current number of ordered equations: 0
% Current number of rules: 1241
% New rule produced :
% [1908] difference(t(i(quotient(A,i(A))),A),i(A)) -> i(quotient(A,i(A)))
% Current number of equations to process: 127
% Current number of ordered equations: 0
% Current number of rules: 1242
% New rule produced :
% [1909]
% difference(j(quotient(j(A),A)),quotient(A,j(quotient(j(A),A)))) ->
% difference(i(A),difference(A,quotient(quotient(j(A),A),A)))
% Rule
% [848]
% quotient(difference(j(quotient(j(A),A)),quotient(A,j(quotient(j(A),A)))),
% i(A)) -> quotient(j(A),A) collapsed.
% Current number of equations to process: 127
% Current number of ordered equations: 0
% Current number of rules: 1242
% New rule produced :
% [1910]
% quotient(difference(i(A),difference(A,quotient(quotient(j(A),A),A))),i(A)) ->
% quotient(j(A),A)
% Current number of equations to process: 126
% Current number of ordered equations: 0
% Current number of rules: 1243
% Rule [1815]
% difference(j(eta(B)),quotient(difference(quotient(quotient(difference(
% eta(B),A),
% eta(B)),j(eta(B))),
% difference(j(quotient(quotient(difference(
% eta(B),A),
% eta(B)),j(eta(B)))),
% quotient(t(quotient(quotient(difference(
% eta(B),A),
% eta(B)),j(eta(B))),B),
% j(quotient(quotient(difference(eta(B),A),
% eta(B)),j(eta(B))))))),
% quotient(difference(eta(B),quotient(quotient(
% difference(
% eta(B),A),
% eta(B)),
% j(eta(B)))),quotient(
% quotient(
% difference(
% eta(B),A),
% eta(B)),
% j(eta(B))))))
% ->
% quotient(difference(A,difference(j(A),quotient(t(A,difference(j(j(B)),
% quotient(B,i(B)))),
% j(A)))),j(eta(B))) is composed into
% [1815]
% difference(j(eta(B)),quotient(difference(quotient(quotient(difference(
% eta(B),A),
% eta(B)),j(eta(B))),
% difference(j(quotient(quotient(difference(
% eta(B),A),
% eta(B)),j(eta(B)))),
% quotient(t(quotient(quotient(difference(
% eta(B),A),
% eta(B)),j(eta(B))),B),
% j(quotient(quotient(difference(eta(B),A),
% eta(B)),j(eta(B))))))),quotient(
% difference(
% eta(B),
% quotient(
% quotient(
% difference(
% eta(B),A),
% eta(B)),
% j(eta(B)))),
% quotient(
% quotient(
% difference(
% eta(B),A),
% eta(B)),
% j(eta(B))))))
% -> quotient(difference(A,difference(j(A),quotient(t(A,B),j(A)))),j(eta(B)))
% Rule [1623]
% quotient(quotient(quotient(difference(eta(A),difference(B,difference(
% j(B),quotient(
% t(B,
% j(
% j(A))),
% j(B))))),
% eta(A)),j(eta(A))),j(j(A))) <->
% difference(j(j(A)),difference(difference(j(j(A)),quotient(A,i(A))),
% difference(j(difference(j(j(A)),quotient(A,i(A)))),
% quotient(t(difference(j(j(A)),quotient(A,i(A))),B),
% j(difference(j(j(A)),quotient(A,i(A)))))))) is composed into
% [1623]
% quotient(quotient(quotient(difference(eta(A),difference(B,difference(
% j(B),quotient(
% t(B,j(j(A))),
% j(B))))),
% eta(A)),j(eta(A))),j(j(A))) <->
% difference(j(j(A)),difference(A,difference(j(A),quotient(t(A,B),j(A)))))
% New rule produced : [1911] difference(j(j(A)),quotient(A,i(A))) -> A
% Rule
% [1622]
% difference(j(j(A)),difference(difference(j(j(A)),quotient(A,i(A))),difference(
% j(
% difference(
% j(
% j(A)),
% quotient(A,
% i(A)))),
% quotient(
% t(
% difference(
% j(
% j(A)),
% quotient(A,
% i(A))),B),
% j(
% difference(
% j(
% j(A)),
% quotient(A,
% i(A))))))))
% <->
% quotient(quotient(quotient(difference(eta(A),difference(B,difference(
% j(B),quotient(
% t(B,j(j(A))),
% j(B))))),
% eta(A)),j(eta(A))),j(j(A))) collapsed.
% Current number of equations to process: 127
% Current number of ordered equations: 0
% Current number of rules: 1243
% New rule produced :
% [1912]
% quotient(quotient(quotient(difference(eta(A),difference(B,difference(
% j(B),quotient(
% t(B,j(j(A))),
% j(B))))),
% eta(A)),j(eta(A))),j(j(A))) -> difference(eta(A),B)
% Rule
% [1611]
% quotient(quotient(quotient(quotient(difference(eta(B),difference(A,difference(
% j(A),
% quotient(
% t(A,
% j(
% j(B))),
% j(A))))),
% eta(B)),j(eta(B))),j(j(B))),A) ->
% quotient(difference(eta(B),A),A) collapsed.
% Rule
% [1623]
% quotient(quotient(quotient(difference(eta(A),difference(B,difference(
% j(B),quotient(
% t(B,j(j(A))),
% j(B))))),
% eta(A)),j(eta(A))),j(j(A))) <->
% difference(j(j(A)),difference(A,difference(j(A),quotient(t(A,B),j(A)))))
% collapsed.
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 1242
% New rule produced :
% [1913]
% difference(quotient(B,i(B)),quotient(quotient(difference(j(B),difference(B,
% difference(
% j(B),quotient(
% t(B,A),
% j(B))))),
% j(B)),j(j(B)))) <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,quotient(B,i(B))),
% j(A)))),B),j(j(B)))
% Current number of equations to process: 131
% Current number of ordered equations: 1
% Current number of rules: 1243
% New rule produced :
% [1914]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,quotient(B,i(B))),
% j(A)))),B),j(j(B))) <->
% difference(quotient(B,i(B)),quotient(quotient(difference(j(B),difference(B,
% difference(
% j(B),quotient(
% t(B,A),
% j(B))))),
% j(B)),j(j(B))))
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 1244
% New rule produced :
% [1915]
% t(j(j(A)),difference(eta(A),difference(B,difference(j(B),quotient(t(B,
% j(j(A))),
% j(B)))))) <->
% difference(j(j(A)),difference(quotient(A,i(A)),difference(j(quotient(A,i(A))),
% quotient(t(quotient(A,i(A)),B),
% j(quotient(A,i(A)))))))
% Current number of equations to process: 129
% Current number of ordered equations: 1
% Current number of rules: 1245
% New rule produced :
% [1916]
% difference(j(j(A)),difference(quotient(A,i(A)),difference(j(quotient(A,i(A))),
% quotient(t(quotient(A,i(A)),B),
% j(quotient(A,i(A))))))) <->
% t(j(j(A)),difference(eta(A),difference(B,difference(j(B),quotient(t(B,
% j(j(A))),
% j(B))))))
% Current number of equations to process: 129
% Current number of ordered equations: 0
% Current number of rules: 1246
% Rule [1138]
% difference(eta(A),difference(j(eta(A)),quotient(i(i(i(i(i(A))))),
% j(eta(A))))) ->
% difference(j(eta(A)),quotient(i(i(i(A))),j(eta(A)))) is composed into
% [1138]
% difference(eta(A),difference(j(eta(A)),quotient(i(i(i(i(i(A))))),j(eta(A)))))
% -> difference(j(eta(A)),i(A))
% New rule produced : [1917] quotient(i(i(i(A))),j(eta(A))) -> i(A)
% Rule
% [703]
% difference(eta(A),difference(j(eta(A)),quotient(i(i(i(A))),j(eta(A))))) ->
% i(A) collapsed.
% Rule
% [1063]
% quotient(difference(i(i(A)),difference(j(eta(A)),quotient(i(i(i(A))),
% j(eta(A))))),i(A)) ->
% j(A) collapsed.
% Current number of equations to process: 132
% Current number of ordered equations: 0
% Current number of rules: 1245
% New rule produced :
% [1918] difference(eta(A),difference(j(eta(A)),i(A))) -> i(A)
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 1246
% New rule produced :
% [1919] quotient(difference(i(i(A)),difference(j(eta(A)),i(A))),i(A)) -> j(A)
% Current number of equations to process: 130
% Current number of ordered equations: 0
% Current number of rules: 1247
% Rule [1209]
% difference(j(t(eta(A),B)),quotient(j(t(eta(A),eta(B))),j(t(eta(A),B))))
% -> t(eta(A),difference(j(B),quotient(j(eta(B)),j(B)))) is composed into
% [1209]
% difference(j(t(eta(A),B)),quotient(j(t(eta(A),eta(B))),j(t(eta(A),B)))) ->
% t(eta(A),difference(j(B),t(j(B),i(i(B)))))
% Rule [850]
% difference(A,difference(j(A),quotient(t(A,j(j(A))),j(A)))) ->
% difference(j(A),quotient(j(eta(A)),j(A))) is composed into [850]
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,j(j(A))),
% j(A)))) ->
% difference(
% j(A),
% t(j(A),
% i(i(A))))
% New rule produced : [1920] quotient(j(eta(A)),j(A)) -> t(j(A),i(i(A)))
% Rule [573] difference(A,difference(j(A),quotient(j(eta(A)),j(A)))) -> j(j(A))
% collapsed.
% Rule [597] quotient(difference(j(A),quotient(j(eta(A)),j(A))),j(j(A))) -> A
% collapsed.
% Rule
% [598] quotient(difference(j(A),quotient(j(eta(A)),j(A))),A) -> t(A,j(j(A)))
% collapsed.
% Rule
% [863]
% quotient(difference(j(A),quotient(j(eta(A)),j(A))),eta(A)) ->
% difference(j(A),j(j(A))) collapsed.
% Rule
% [884] i(difference(j(A),quotient(j(eta(A)),j(A)))) -> quotient(j(j(j(A))),A)
% collapsed.
% Rule [1023] quotient(quotient(j(eta(A)),j(A)),j(j(A))) -> j(eta(A))
% collapsed.
% Rule
% [1100]
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(j(eta(A)),j(A))))
% -> eta(A) collapsed.
% Rule
% [1529]
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,difference(
% j(A),quotient(
% j(eta(A)),
% j(A)))),
% j(B)))),j(j(A))),A) <->
% difference(difference(j(A),quotient(j(eta(A)),j(A))),difference(A,difference(
% j(A),
% quotient(
% t(A,
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A)))),
% j(A)))))
% collapsed.
% Rule
% [1530]
% difference(difference(j(A),quotient(j(eta(A)),j(A))),difference(A,difference(
% j(A),
% quotient(
% t(A,
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A)))),
% j(A)))))
% <->
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,difference(
% j(A),quotient(
% j(eta(A)),
% j(A)))),
% j(B)))),j(j(A))),A) collapsed.
% Current number of equations to process: 139
% Current number of ordered equations: 0
% Current number of rules: 1239
% Rule [1540]
% difference(difference(A,j(j(j(A)))),difference(j(difference(A,j(j(j(A))))),
% quotient(t(difference(A,j(j(j(A)))),A),
% j(difference(A,j(j(j(A)))))))) ->
% difference(A,j(eta(A))) is composed into [1540]
% difference(difference(A,
% j(j(j(A)))),
% difference(j(difference(A,
% j(j(j(A))))),
% quotient(t(difference(A,
% j(j(j(A)))),A),
% j(difference(A,j(j(j(A))))))))
% -> i(i(i(A)))
% Rule [592]
% difference(i(i(i(i(A)))),j(eta(A))) -> t(eta(A),difference(A,j(eta(A)))) is composed into
% [592] difference(i(i(i(i(A)))),j(eta(A))) -> t(eta(A),i(i(i(A))))
% New rule produced : [1921] difference(A,j(eta(A))) -> i(i(i(A)))
% Rule
% [1222] quotient(difference(eta(A),difference(A,j(eta(A)))),j(eta(A))) -> j(A)
% collapsed.
% Current number of equations to process: 139
% Current number of ordered equations: 0
% Current number of rules: 1239
% New rule produced : [1922] quotient(t(j(A),i(i(A))),j(j(A))) -> j(eta(A))
% Current number of equations to process: 138
% Current number of ordered equations: 0
% Current number of rules: 1240
% New rule produced :
% [1923] quotient(difference(i(A),j(eta(A))),j(eta(A))) -> i(i(A))
% Current number of equations to process: 137
% Current number of ordered equations: 0
% Current number of rules: 1241
% New rule produced :
% [1924] difference(A,difference(j(A),t(j(A),i(i(A))))) -> j(j(A))
% Current number of equations to process: 136
% Current number of ordered equations: 0
% Current number of rules: 1242
% New rule produced :
% [1925] i(difference(j(A),t(j(A),i(i(A))))) -> quotient(j(j(j(A))),A)
% Current number of equations to process: 135
% Current number of ordered equations: 0
% Current number of rules: 1243
% New rule produced :
% [1926] quotient(difference(j(A),t(j(A),i(i(A)))),j(j(A))) -> A
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 1244
% New rule produced :
% [1927] quotient(difference(j(A),t(j(A),i(i(A)))),A) -> t(A,j(j(A)))
% Current number of equations to process: 133
% Current number of ordered equations: 0
% Current number of rules: 1245
% New rule produced :
% [1928]
% quotient(difference(j(A),t(j(A),i(i(A)))),eta(A)) -> difference(j(A),j(j(A)))
% Current number of equations to process: 132
% Current number of ordered equations: 0
% Current number of rules: 1246
% New rule produced :
% [1929]
% difference(difference(j(A),j(j(A))),difference(j(A),t(j(A),i(i(A))))) ->
% eta(A)
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 1247
% New rule produced :
% [1930]
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,difference(
% j(A),t(j(A),
% i(i(A))))),
% j(B)))),j(j(A))),A) <->
% difference(difference(j(A),t(j(A),i(i(A)))),difference(A,difference(j(A),
% quotient(t(A,
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A)))),
% j(A)))))
% Current number of equations to process: 130
% Current number of ordered equations: 1
% Current number of rules: 1248
% New rule produced :
% [1931]
% difference(difference(j(A),t(j(A),i(i(A)))),difference(A,difference(j(A),
% quotient(t(A,
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A)))),
% j(A))))) <->
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,difference(
% j(A),t(j(A),
% i(i(A))))),
% j(B)))),j(j(A))),A)
% Current number of equations to process: 130
% Current number of ordered equations: 0
% Current number of rules: 1249
% New rule produced : [1932] quotient(i(quotient(j(A),A)),A) -> A
% Current number of equations to process: 130
% Current number of ordered equations: 0
% Current number of rules: 1250
% New rule produced : [1933] i(quotient(j(A),A)) -> quotient(A,j(A))
% Rule
% [812] quotient(difference(j(A),i(quotient(j(A),A))),quotient(A,j(A))) -> A
% collapsed.
% Rule
% [1273]
% difference(j(j(j(A))),i(quotient(j(A),A))) ->
% quotient(quotient(difference(j(A),quotient(A,j(A))),j(A)),j(j(A))) collapsed.
% Rule [1932] quotient(i(quotient(j(A),A)),A) -> A collapsed.
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 1248
% New rule produced : [1934] quotient(quotient(A,j(A)),A) -> A
% Rule [535] quotient(quotient(eta(A),j(eta(A))),eta(A)) -> eta(A) collapsed.
% Current number of equations to process: 133
% Current number of ordered equations: 0
% Current number of rules: 1248
% New rule produced :
% [1935] quotient(difference(j(A),quotient(A,j(A))),quotient(A,j(A))) -> A
% Current number of equations to process: 133
% Current number of ordered equations: 0
% Current number of rules: 1249
% New rule produced :
% [1936]
% quotient(i(A),t(i(quotient(A,i(A))),A)) ->
% t(t(i(quotient(A,i(A))),A),i(quotient(A,i(A))))
% Current number of equations to process: 132
% Current number of ordered equations: 0
% Current number of rules: 1250
% New rule produced :
% [1937]
% difference(j(j(j(A))),quotient(A,j(A))) ->
% quotient(quotient(difference(j(A),quotient(A,j(A))),j(A)),j(j(A)))
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 1251
% New rule produced :
% [1938]
% difference(t(t(i(quotient(A,i(A))),A),i(quotient(A,i(A)))),i(A)) ->
% t(i(quotient(A,i(A))),A)
% Current number of equations to process: 130
% Current number of ordered equations: 0
% Current number of rules: 1252
% New rule produced : [1939] difference(quotient(A,i(A)),j(j(A))) -> j(A)
% Current number of equations to process: 135
% Current number of ordered equations: 0
% Current number of rules: 1253
% New rule produced :
% [1940] quotient(j(j(A)),quotient(A,i(A))) -> t(quotient(A,i(A)),j(A))
% Current number of equations to process: 137
% Current number of ordered equations: 0
% Current number of rules: 1254
% New rule produced :
% [1941] difference(i(A),difference(A,j(j(j(j(A)))))) -> j(j(A))
% Current number of equations to process: 136
% Current number of ordered equations: 0
% Current number of rules: 1255
% New rule produced :
% [1942] quotient(difference(A,j(j(j(j(A))))),j(j(A))) -> i(A)
% Current number of equations to process: 135
% Current number of ordered equations: 0
% Current number of rules: 1256
% New rule produced :
% [1943] quotient(difference(A,j(j(j(j(A))))),i(A)) -> t(i(A),j(j(A)))
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 1257
% New rule produced :
% [1944] difference(t(quotient(A,i(A)),j(A)),j(j(A))) -> quotient(A,i(A))
% Current number of equations to process: 133
% Current number of ordered equations: 0
% Current number of rules: 1258
% New rule produced :
% [1945]
% quotient(j(j(A)),t(quotient(A,i(A)),j(A))) ->
% t(t(quotient(A,i(A)),j(A)),quotient(A,i(A)))
% Current number of equations to process: 132
% Current number of ordered equations: 0
% Current number of rules: 1259
% New rule produced :
% [1946]
% difference(t(t(quotient(A,i(A)),j(A)),quotient(A,i(A))),j(j(A))) ->
% t(quotient(A,i(A)),j(A))
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 1260
% New rule produced :
% [1947]
% quotient(quotient(difference(A,difference(j(A),difference(j(A),difference(
% j(j(A)),
% quotient(
% i(i(A)),
% j(j(A))))))),A),
% i(A)) -> t(i(A),j(eta(A)))
% Current number of equations to process: 130
% Current number of ordered equations: 0
% Current number of rules: 1261
% New rule produced : [1948] quotient(quotient(j(A),A),i(i(i(A)))) -> i(A)
% Current number of equations to process: 130
% Current number of ordered equations: 0
% Current number of rules: 1262
% New rule produced : [1949] t(j(eta(A)),i(i(i(A)))) -> j(A)
% Current number of equations to process: 130
% Current number of ordered equations: 0
% Current number of rules: 1263
% New rule produced :
% [1950] quotient(t(eta(A),B),i(i(i(i(i(A)))))) -> t(eta(A),quotient(B,i(A)))
% Current number of equations to process: 132
% Current number of ordered equations: 0
% Current number of rules: 1264
% New rule produced :
% [1951] quotient(i(i(i(i(i(A))))),t(eta(A),B)) -> t(eta(A),quotient(i(A),B))
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 1265
% New rule produced :
% [1952]
% difference(i(i(i(i(i(A))))),t(eta(A),B)) -> t(eta(A),difference(i(A),B))
% Current number of equations to process: 130
% Current number of ordered equations: 0
% Current number of rules: 1266
% New rule produced : [1953] difference(j(A),difference(A,j(A))) -> j(A)
% Current number of equations to process: 133
% Current number of ordered equations: 0
% Current number of rules: 1267
% New rule produced :
% [1954]
% difference(i(A),difference(A,i(quotient(A,i(A))))) -> difference(A,j(A))
% Current number of equations to process: 135
% Current number of ordered equations: 0
% Current number of rules: 1268
% New rule produced :
% [1955] quotient(difference(A,i(quotient(A,i(A)))),difference(A,j(A))) -> i(A)
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 1269
% Rule [813]
% quotient(difference(A,i(quotient(A,i(A)))),i(A)) ->
% t(i(A),quotient(quotient(difference(A,j(A)),A),j(A))) is composed into
% [813]
% quotient(difference(A,i(quotient(A,i(A)))),i(A)) ->
% t(i(A),difference(A,j(A)))
% New rule produced :
% [1956]
% t(i(A),quotient(quotient(difference(A,j(A)),A),j(A))) ->
% t(i(A),difference(A,j(A)))
% Current number of equations to process: 133
% Current number of ordered equations: 0
% Current number of rules: 1270
% New rule produced :
% [1957]
% difference(j(j(A)),i(quotient(A,i(A)))) ->
% quotient(quotient(difference(A,difference(A,j(A))),A),j(A))
% Current number of equations to process: 132
% Current number of ordered equations: 0
% Current number of rules: 1271
% New rule produced :
% [1958]
% difference(difference(A,j(A)),difference(j(difference(A,j(A))),quotient(
% t(difference(A,
% j(A)),A),
% j(difference(A,
% j(A)))))) ->
% i(A)
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 1272
% New rule produced :
% [1959] difference(i(i(A)),difference(j(A),j(j(A)))) -> i(i(A))
% Current number of equations to process: 132
% Current number of ordered equations: 0
% Current number of rules: 1273
% New rule produced :
% [1960] difference(j(eta(A)),i(quotient(eta(A),j(eta(A))))) -> j(eta(A))
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 1274
% New rule produced :
% [1961] quotient(difference(j(A),j(j(A))),i(i(A))) -> i(i(A))
% Current number of equations to process: 132
% Current number of ordered equations: 0
% Current number of rules: 1275
% New rule produced :
% [1962] quotient(i(quotient(eta(A),j(eta(A)))),j(eta(A))) -> j(eta(A))
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 1276
% New rule produced : [1963] t(j(j(A)),quotient(j(A),A)) -> i(quotient(A,i(A)))
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 1277
% New rule produced : [1964] t(quotient(j(A),A),A) -> j(j(A))
% Current number of equations to process: 132
% Current number of ordered equations: 0
% Current number of rules: 1278
% New rule produced :
% [1965] quotient(difference(A,quotient(j(A),A)),quotient(j(A),A)) -> i(A)
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 1279
% New rule produced :
% [1966] difference(j(j(j(j(A)))),quotient(A,i(A))) -> j(j(A))
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 1280
% New rule produced : [1967] quotient(eta(A),j(j(j(j(A))))) -> j(j(j(A)))
% Rule
% [1896]
% quotient(difference(j(j(j(j(A)))),quotient(eta(A),j(j(j(j(A)))))),j(A)) ->
% j(j(j(A))) collapsed.
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 1280
% New rule produced :
% [1968]
% difference(j(j(j(j(A)))),eta(A)) ->
% quotient(quotient(difference(eta(A),j(j(j(A)))),eta(A)),j(eta(A)))
% Rule [1248] quotient(difference(j(j(j(j(A)))),eta(A)),eta(A)) -> j(j(j(A)))
% collapsed.
% Current number of equations to process: 132
% Current number of ordered equations: 0
% Current number of rules: 1280
% New rule produced :
% [1969]
% quotient(quotient(quotient(difference(eta(A),j(j(j(A)))),eta(A)),j(eta(A))),
% eta(A)) -> j(j(j(A)))
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 1281
% New rule produced :
% [1970]
% 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: 135
% Current number of ordered equations: 0
% Current number of rules: 1282
% New rule produced :
% [1971]
% 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: 134
% Current number of ordered equations: 0
% Current number of rules: 1283
% New rule produced :
% [1972]
% 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: 133
% Current number of ordered equations: 0
% Current number of rules: 1284
% New rule produced :
% [1973]
% quotient(quotient(quotient(i(quotient(eta(A),j(eta(A)))),eta(A)),j(eta(A))),
% j(eta(A))) -> j(eta(A))
% Current number of equations to process: 132
% Current number of ordered equations: 0
% Current number of rules: 1285
% New rule produced :
% [1974]
% quotient(difference(quotient(eta(A),j(eta(A))),t(quotient(eta(A),j(eta(A))),
% j(eta(A)))),j(eta(A))) ->
% i(quotient(eta(A),j(eta(A))))
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 1286
% New rule produced :
% [1975]
% quotient(difference(A,quotient(j(A),A)),i(A)) -> t(i(A),quotient(j(A),A))
% Current number of equations to process: 135
% Current number of ordered equations: 0
% Current number of rules: 1287
% New rule produced :
% [1976] quotient(quotient(j(A),A),j(j(j(j(j(A)))))) -> j(j(j(j(j(j(j(A)))))))
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 1288
% New rule produced :
% [1977]
% difference(j(j(A)),quotient(j(A),A)) ->
% quotient(quotient(difference(A,quotient(j(A),A)),A),j(A))
% Rule
% [849]
% difference(j(A),difference(j(j(A)),quotient(j(A),A))) -> quotient(j(A),A)
% collapsed.
% Current number of equations to process: 133
% Current number of ordered equations: 0
% Current number of rules: 1288
% New rule produced :
% [1978]
% difference(j(j(j(j(j(j(j(A))))))),quotient(j(A),A)) -> j(j(j(j(j(A)))))
% Current number of equations to process: 132
% Current number of ordered equations: 0
% Current number of rules: 1289
% New rule produced : [1979] j(eta(t(eta(A),eta(B)))) -> one
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 1290
% New rule produced : [1980] eta(t(eta(A),eta(B))) -> one
% Rule [1979] j(eta(t(eta(A),eta(B)))) -> one collapsed.
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 1290
% New rule produced :
% [1981] i(t(eta(A),t(eta(B),eta(C)))) -> j(t(eta(A),t(eta(B),eta(C))))
% Current number of equations to process: 137
% Current number of ordered equations: 0
% Current number of rules: 1291
% New rule produced :
% [1982]
% quotient(i(t(eta(A),quotient(eta(B),j(eta(B))))),j(t(eta(A),eta(B)))) ->
% j(t(eta(A),eta(B)))
% Current number of equations to process: 136
% Current number of ordered equations: 0
% Current number of rules: 1292
% New rule produced :
% [1983]
% t(eta(A),difference(eta(B),difference(eta(A),difference(A,quotient(quotient(
% difference(
% j(A),
% j(
% eta(B))),
% j(A)),
% j(j(A))))))) ->
% i(t(eta(A),quotient(eta(B),j(eta(B)))))
% Current number of equations to process: 135
% Current number of ordered equations: 0
% Current number of rules: 1293
% New rule produced :
% [1984]
% t(eta(A),difference(j(eta(B)),difference(eta(B),difference(eta(A),difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(
% quotient(
% quotient(C,
% j(t(
% eta(A),
% eta(B)))),
% t(eta(A),
% eta(B))),
% j(eta(A)))))))))
% -> C
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 1294
% New rule produced :
% [1985]
% t(eta(A),difference(eta(B),difference(eta(A),difference(eta(A),difference(
% j(eta(A)),
% quotient(
% quotient(
% quotient(
% difference(
% j(t(eta(A),
% eta(B))),C),
% j(t(eta(A),
% eta(B)))),
% t(eta(A),
% eta(B))),
% j(eta(A))))))))
% -> C
% Current number of equations to process: 133
% Current number of ordered equations: 0
% Current number of rules: 1295
% New rule produced :
% [1986]
% t(eta(A),quotient(difference(eta(B),difference(eta(A),difference(eta(A),
% difference(j(eta(A)),
% quotient(quotient(
% quotient(C,
% j(t(eta(A),
% eta(B)))),
% t(eta(A),
% eta(B))),
% j(eta(A))))))),
% j(eta(B)))) -> t(j(t(eta(A),eta(B))),C)
% Current number of equations to process: 132
% Current number of ordered equations: 0
% Current number of rules: 1296
% New rule produced :
% [1987]
% quotient(j(t(eta(A),eta(B))),i(t(eta(A),quotient(eta(B),j(eta(B)))))) ->
% t(eta(A),eta(B))
% Current number of equations to process: 133
% Current number of ordered equations: 0
% Current number of rules: 1297
% New rule produced :
% [1988]
% difference(j(t(eta(A),eta(B))),i(t(eta(A),quotient(eta(B),j(eta(B)))))) ->
% j(t(eta(A),eta(B)))
% Current number of equations to process: 132
% Current number of ordered equations: 0
% Current number of rules: 1298
% New rule produced :
% [1989]
% quotient(quotient(quotient(difference(eta(A),difference(B,difference(
% j(B),quotient(
% t(B,j(j(j(A)))),
% j(B))))),
% eta(A)),j(eta(A))),j(j(j(A)))) <->
% difference(j(j(j(A))),quotient(quotient(difference(A,B),A),j(A)))
% Current number of equations to process: 134
% Current number of ordered equations: 1
% Current number of rules: 1299
% New rule produced :
% [1990]
% difference(j(j(j(A))),quotient(quotient(difference(A,B),A),j(A))) <->
% quotient(quotient(quotient(difference(eta(A),difference(B,difference(
% j(B),quotient(
% t(B,j(j(j(A)))),
% j(B))))),
% eta(A)),j(eta(A))),j(j(j(A))))
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 1300
% New rule produced :
% [1991]
% difference(j(B),difference(j(j(j(B))),quotient(quotient(difference(B,
% quotient(quotient(
% difference(B,
% quotient(
% quotient(
% difference(
% eta(B),A),
% eta(B)),
% j(eta(B)))),B),
% j(B))),B),j(B)))) <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,j(B)),j(A)))),
% j(eta(B))),j(j(j(B))))
% Current number of equations to process: 133
% Current number of ordered equations: 1
% Current number of rules: 1301
% New rule produced :
% [1992]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,j(B)),j(A)))),
% j(eta(B))),j(j(j(B)))) <->
% difference(j(B),difference(j(j(j(B))),quotient(quotient(difference(B,
% quotient(quotient(
% difference(B,
% quotient(
% quotient(
% difference(
% eta(B),A),
% eta(B)),
% j(eta(B)))),B),
% j(B))),B),j(B))))
% Current number of equations to process: 133
% Current number of ordered equations: 0
% Current number of rules: 1302
% Rule [1920] quotient(j(eta(A)),j(A)) -> t(j(A),i(i(A))) is composed into
% [1920] quotient(j(eta(A)),j(A)) -> j(j(j(j(A))))
% Rule [1209]
% difference(j(t(eta(A),B)),quotient(j(t(eta(A),eta(B))),j(t(eta(A),B))))
% -> t(eta(A),difference(j(B),t(j(B),i(i(B))))) is composed into [1209]
% difference(
% j(
% t(
% eta(A),B)),
% quotient(
% j(
% t(
% eta(A),
% eta(B))),
% j(
% t(
% eta(A),B))))
% ->
% t(
% eta(A),
% difference(
% j(B),
% j(
% j(
% j(j(B))))))
% Rule [850]
% difference(A,difference(j(A),quotient(t(A,j(j(A))),j(A)))) ->
% difference(j(A),t(j(A),i(i(A)))) is composed into [850]
% difference(A,difference(
% j(A),
% quotient(
% t(A,
% j(
% j(A))),
% j(A))))
% ->
% difference(j(A),
% j(j(j(j(A)))))
% New rule produced : [1993] t(j(A),i(i(A))) -> j(j(j(j(A))))
% Rule [1922] quotient(t(j(A),i(i(A))),j(j(A))) -> j(eta(A)) collapsed.
% Rule [1924] difference(A,difference(j(A),t(j(A),i(i(A))))) -> j(j(A))
% collapsed.
% Rule [1925] i(difference(j(A),t(j(A),i(i(A))))) -> quotient(j(j(j(A))),A)
% collapsed.
% Rule [1926] quotient(difference(j(A),t(j(A),i(i(A)))),j(j(A))) -> A
% collapsed.
% Rule [1927] quotient(difference(j(A),t(j(A),i(i(A)))),A) -> t(A,j(j(A)))
% collapsed.
% Rule
% [1928]
% quotient(difference(j(A),t(j(A),i(i(A)))),eta(A)) -> difference(j(A),j(j(A)))
% collapsed.
% Rule
% [1929]
% difference(difference(j(A),j(j(A))),difference(j(A),t(j(A),i(i(A))))) ->
% eta(A) collapsed.
% Rule
% [1930]
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,difference(
% j(A),t(j(A),
% i(i(A))))),
% j(B)))),j(j(A))),A) <->
% difference(difference(j(A),t(j(A),i(i(A)))),difference(A,difference(j(A),
% quotient(t(A,
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A)))),
% j(A))))) collapsed.
% Rule
% [1931]
% difference(difference(j(A),t(j(A),i(i(A)))),difference(A,difference(j(A),
% quotient(t(A,
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A)))),
% j(A))))) <->
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,difference(
% j(A),t(j(A),
% i(i(A))))),
% j(B)))),j(j(A))),A) collapsed.
% Current number of equations to process: 141
% Current number of ordered equations: 0
% Current number of rules: 1294
% New rule produced : [1994] difference(j(j(j(A))),j(eta(A))) -> A
% Current number of equations to process: 143
% Current number of ordered equations: 0
% Current number of rules: 1295
% New rule produced :
% [1995] difference(A,difference(j(A),j(j(j(j(A)))))) -> j(j(A))
% Current number of equations to process: 143
% Current number of ordered equations: 0
% Current number of rules: 1296
% New rule produced :
% [1996] i(difference(j(A),j(j(j(j(A)))))) -> quotient(j(j(j(A))),A)
% Current number of equations to process: 142
% Current number of ordered equations: 0
% Current number of rules: 1297
% New rule produced :
% [1997] difference(t(j(j(j(A))),A),j(eta(A))) -> j(j(j(A)))
% Current number of equations to process: 141
% Current number of ordered equations: 0
% Current number of rules: 1298
% New rule produced :
% [1998] quotient(difference(j(A),j(j(j(j(A))))),A) -> t(A,j(j(A)))
% Current number of equations to process: 140
% Current number of ordered equations: 0
% Current number of rules: 1299
% New rule produced :
% [1999]
% quotient(difference(j(A),j(j(j(j(A))))),eta(A)) -> difference(j(A),j(j(A)))
% Current number of equations to process: 139
% Current number of ordered equations: 0
% Current number of rules: 1300
% New rule produced :
% [2000]
% difference(difference(j(A),j(j(A))),difference(j(A),j(j(j(j(A)))))) -> eta(A)
% Current number of equations to process: 138
% Current number of ordered equations: 0
% Current number of rules: 1301
% New rule produced :
% [2001] quotient(j(eta(A)),t(j(j(j(A))),A)) -> t(t(j(j(j(A))),A),j(j(j(A))))
% Current number of equations to process: 137
% Current number of ordered equations: 0
% Current number of rules: 1302
% New rule produced :
% [2002] difference(t(t(j(j(j(A))),A),j(j(j(A)))),j(eta(A))) -> t(j(j(j(A))),A)
% Current number of equations to process: 136
% Current number of ordered equations: 0
% Current number of rules: 1303
% New rule produced :
% [2003]
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,difference(
% j(A),j(j(j(j(A)))))),
% j(B)))),j(j(A))),A) <->
% difference(difference(j(A),j(j(j(j(A))))),difference(A,difference(j(A),
% quotient(t(A,quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(
% j(A)))),
% j(A)))))
% Current number of equations to process: 135
% Current number of ordered equations: 1
% Current number of rules: 1304
% New rule produced :
% [2004]
% difference(difference(j(A),j(j(j(j(A))))),difference(A,difference(j(A),
% quotient(t(A,quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(
% j(A)))),
% j(A))))) <->
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,difference(
% j(A),j(j(j(j(A)))))),
% j(B)))),j(j(A))),A)
% Current number of equations to process: 135
% Current number of ordered equations: 0
% Current number of rules: 1305
% New rule produced :
% [2005] quotient(difference(j(j(A)),t(j(j(A)),i(A))),j(j(j(A)))) -> j(A)
% Current number of equations to process: 135
% Current number of ordered equations: 0
% Current number of rules: 1306
% Rule [631] quotient(j(j(j(A))),j(eta(A))) -> t(j(eta(A)),j(A)) is composed into
% [631] quotient(j(j(j(A))),j(eta(A))) -> j(j(j(j(j(A)))))
% New rule produced : [2006] t(j(eta(A)),j(A)) -> j(j(j(j(j(A)))))
% Rule [670] difference(t(j(eta(A)),j(A)),j(j(j(A)))) -> j(eta(A)) collapsed.
% Current number of equations to process: 136
% Current number of ordered equations: 0
% Current number of rules: 1306
% New rule produced :
% [2007]
% difference(j(A),difference(j(A),difference(j(j(A)),quotient(i(i(A)),j(j(A))))))
% -> j(j(j(j(A))))
% Rule
% [1284]
% t(eta(A),difference(j(B),difference(j(B),difference(j(j(B)),quotient(
% i(i(B)),j(j(B)))))))
% -> j(j(j(j(t(eta(A),B))))) collapsed.
% Rule
% [1947]
% quotient(quotient(difference(A,difference(j(A),difference(j(A),difference(
% j(j(A)),
% quotient(
% i(i(A)),
% j(j(A))))))),A),
% i(A)) -> t(i(A),j(eta(A))) collapsed.
% Current number of equations to process: 136
% Current number of ordered equations: 0
% Current number of rules: 1305
% New rule produced :
% [2008]
% quotient(quotient(difference(A,j(j(j(j(A))))),A),i(A)) -> t(i(A),j(eta(A)))
% Current number of equations to process: 135
% Current number of ordered equations: 0
% Current number of rules: 1306
% New rule produced : [2009] t(j(j(A)),eta(A)) -> j(eta(A))
% Current number of equations to process: 135
% Current number of ordered equations: 0
% Current number of rules: 1307
% New rule produced :
% [2010]
% quotient(difference(A,quotient(quotient(difference(j(A),difference(B,
% difference(j(B),
% quotient(t(B,j(A)),
% j(B))))),j(A)),
% j(j(A)))),j(A)) <->
% difference(j(A),difference(j(j(j(A))),quotient(quotient(difference(A,
% quotient(quotient(
% difference(A,B),A),
% j(A))),A),j(A))))
% Current number of equations to process: 136
% Current number of ordered equations: 1
% Current number of rules: 1308
% New rule produced :
% [2011]
% difference(j(A),difference(j(j(j(A))),quotient(quotient(difference(A,
% quotient(quotient(
% difference(A,B),A),
% j(A))),A),j(A)))) <->
% quotient(difference(A,quotient(quotient(difference(j(A),difference(B,
% difference(j(B),
% quotient(t(B,j(A)),
% j(B))))),j(A)),
% j(j(A)))),j(A))
% Rule
% [1465]
% quotient(difference(j(B),difference(j(j(j(B))),quotient(quotient(difference(B,
% quotient(
% quotient(
% difference(B,A),B),
% j(B))),B),
% j(B)))),A) <->
% quotient(quotient(difference(B,quotient(quotient(difference(j(B),difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% j(B)),
% j(A))))),
% j(B)),j(j(B)))),j(B)),A) collapsed.
% Current number of equations to process: 136
% Current number of ordered equations: 0
% Current number of rules: 1308
% New rule produced :
% [2012] j(j(t(eta(A),t(eta(B),eta(C))))) -> t(eta(A),t(eta(B),eta(C)))
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 1309
% New rule produced :
% [2013]
% quotient(quotient(quotient(difference(j(t(eta(A),eta(B))),C),j(t(eta(A),
% eta(B)))),
% t(eta(A),eta(B))),C) -> t(eta(A),eta(B))
% Current number of equations to process: 149
% Current number of ordered equations: 0
% Current number of rules: 1310
% New rule produced :
% [2014]
% quotient(quotient(quotient(difference(j(t(eta(A),eta(B))),C),j(t(eta(A),
% eta(B)))),
% t(eta(A),eta(B))),t(eta(A),eta(B))) -> t(t(eta(A),eta(B)),C)
% Current number of equations to process: 152
% Current number of ordered equations: 0
% Current number of rules: 1311
% New rule produced :
% [2015]
% t(eta(A),quotient(quotient(difference(j(t(eta(B),eta(C))),eta(A)),j(t(
% eta(B),
% eta(C)))),
% t(eta(B),eta(C)))) <->
% difference(A,quotient(quotient(difference(j(A),t(eta(B),eta(C))),j(A)),
% j(j(A))))
% Current number of equations to process: 151
% Current number of ordered equations: 1
% Current number of rules: 1312
% New rule produced :
% [2016]
% difference(A,quotient(quotient(difference(j(A),t(eta(B),eta(C))),j(A)),
% j(j(A)))) <->
% t(eta(A),quotient(quotient(difference(j(t(eta(B),eta(C))),eta(A)),j(t(
% eta(B),
% eta(C)))),
% t(eta(B),eta(C))))
% Current number of equations to process: 151
% Current number of ordered equations: 0
% Current number of rules: 1313
% New rule produced :
% [2017]
% t(eta(A),difference(j(eta(B)),difference(eta(B),difference(eta(A),difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(
% quotient(C,
% t(eta(A),
% eta(B))),
% j(eta(A)))))))))
% <-> difference(C,difference(j(C),quotient(t(C,j(t(eta(A),eta(B)))),j(C))))
% Current number of equations to process: 153
% Current number of ordered equations: 1
% Current number of rules: 1314
% New rule produced :
% [2018]
% difference(C,difference(j(C),quotient(t(C,j(t(eta(A),eta(B)))),j(C)))) <->
% t(eta(A),difference(j(eta(B)),difference(eta(B),difference(eta(A),difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(
% quotient(C,
% t(eta(A),
% eta(B))),
% j(eta(A)))))))))
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 1315
% New rule produced :
% [2019]
% t(eta(A),t(eta(B),quotient(quotient(difference(eta(C),difference(eta(B),
% difference(eta(B),
% difference(j(eta(B)),
% quotient(eta(A),
% j(eta(B))))))),
% eta(C)),j(eta(C))))) <->
% difference(A,quotient(quotient(difference(j(A),j(t(eta(B),eta(C)))),j(A)),
% j(j(A))))
% Current number of equations to process: 152
% Current number of ordered equations: 1
% Current number of rules: 1316
% New rule produced :
% [2020]
% difference(A,quotient(quotient(difference(j(A),j(t(eta(B),eta(C)))),j(A)),
% j(j(A)))) <->
% t(eta(A),t(eta(B),quotient(quotient(difference(eta(C),difference(eta(B),
% difference(eta(B),
% difference(j(eta(B)),
% quotient(eta(A),
% j(eta(B))))))),
% eta(C)),j(eta(C)))))
% Current number of equations to process: 152
% Current number of ordered equations: 0
% Current number of rules: 1317
% New rule produced :
% [2021]
% t(eta(A),difference(j(eta(B)),difference(j(eta(B)),difference(eta(B),
% difference(eta(A),
% difference(eta(A),
% difference(j(eta(A)),
% quotient(quotient(
% t(j(t(eta(A),
% eta(B))),C),
% t(eta(A),
% eta(B))),
% j(eta(A)))))))))) -> C
% Current number of equations to process: 151
% Current number of ordered equations: 0
% Current number of rules: 1318
% New rule produced :
% [2022]
% t(eta(A),quotient(difference(j(eta(B)),difference(eta(B),difference(eta(A),
% difference(eta(A),
% difference(j(eta(A)),
% quotient(quotient(
% t(j(
% t(
% eta(A),
% eta(B))),C),
% t(eta(A),
% eta(B))),
% j(eta(A)))))))),
% j(eta(B)))) -> t(j(t(eta(A),eta(B))),C)
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 1319
% New rule produced :
% [2023]
% t(eta(A),difference(eta(B),difference(eta(A),difference(eta(A),difference(
% j(eta(A)),
% quotient(
% quotient(
% quotient(C,
% j(t(eta(A),
% eta(B)))),
% t(eta(A),
% eta(B))),
% j(eta(A))))))))
% ->
% t(eta(A),quotient(quotient(difference(eta(B),difference(eta(A),difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(C,
% j(eta(A))))))),
% eta(B)),j(eta(B))))
% Rule
% [1985]
% t(eta(A),difference(eta(B),difference(eta(A),difference(eta(A),difference(
% j(eta(A)),
% quotient(
% quotient(
% quotient(
% difference(
% j(t(eta(A),
% eta(B))),C),
% j(t(eta(A),
% eta(B)))),
% t(eta(A),
% eta(B))),
% j(eta(A))))))))
% -> C collapsed.
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 1319
% New rule produced :
% [2024]
% t(eta(A),quotient(quotient(difference(eta(B),difference(eta(A),difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(
% difference(
% j(t(eta(A),
% eta(B))),C),
% j(eta(A))))))),
% eta(B)),j(eta(B)))) -> C
% Current number of equations to process: 149
% Current number of ordered equations: 0
% Current number of rules: 1320
% New rule produced :
% [2025]
% t(eta(A),quotient(difference(eta(B),difference(eta(A),difference(eta(A),
% difference(j(eta(A)),
% quotient(quotient(
% quotient(C,
% j(t(eta(A),
% eta(B)))),
% t(eta(A),
% eta(B))),
% j(eta(A))))))),
% difference(eta(A),difference(eta(A),difference(j(eta(A)),quotient(C,
% j(eta(A))))))))
% -> j(t(eta(A),eta(B)))
% Current number of equations to process: 148
% Current number of ordered equations: 0
% Current number of rules: 1321
% New rule produced :
% [2026] quotient(j(j(j(j(A)))),j(eta(A))) -> t(j(eta(A)),j(j(A)))
% Current number of equations to process: 152
% Current number of ordered equations: 0
% Current number of rules: 1322
% New rule produced :
% [2027] difference(t(j(eta(A)),j(j(A))),j(j(j(j(A))))) -> j(eta(A))
% Current number of equations to process: 151
% Current number of ordered equations: 0
% Current number of rules: 1323
% New rule produced :
% [2028]
% t(eta(A),quotient(B,difference(eta(A),j(j(j(j(A))))))) <->
% quotient(t(eta(A),B),j(j(A)))
% Current number of equations to process: 150
% Current number of ordered equations: 1
% Current number of rules: 1324
% New rule produced :
% [2029]
% quotient(t(eta(A),B),j(j(A))) <->
% t(eta(A),quotient(B,difference(eta(A),j(j(j(j(A)))))))
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 1325
% New rule produced :
% [2030] quotient(quotient(A,i(A)),i(i(i(i(A))))) -> i(i(A))
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 1326
% New rule produced : [2031] t(j(eta(A)),i(i(i(i(A))))) -> A
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 1327
% New rule produced : [2032] difference(eta(A),i(i(i(i(i(A)))))) -> i(i(i(A)))
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 1328
% New rule produced :
% [2033]
% quotient(t(eta(A),B),i(i(i(i(i(i(A))))))) -> t(eta(A),quotient(B,i(i(A))))
% Current number of equations to process: 152
% Current number of ordered equations: 0
% Current number of rules: 1329
% New rule produced :
% [2034]
% quotient(i(i(i(i(i(i(A)))))),t(eta(A),B)) -> t(eta(A),quotient(i(i(A)),B))
% Current number of equations to process: 151
% Current number of ordered equations: 0
% Current number of rules: 1330
% New rule produced :
% [2035]
% difference(i(i(i(i(i(i(A)))))),t(eta(A),B)) ->
% t(eta(A),difference(i(i(A)),B))
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 1331
% Rule [1963] t(j(j(A)),quotient(j(A),A)) -> i(quotient(A,i(A))) is composed into
% [1963] t(j(j(A)),quotient(j(A),A)) -> i(t(j(j(j(A))),quotient(A,j(A))))
% Rule [1915]
% t(j(j(A)),difference(eta(A),difference(B,difference(j(B),quotient(
% t(B,j(j(A))),
% j(B)))))) <->
% difference(j(j(A)),difference(quotient(A,i(A)),difference(j(quotient(A,
% i(A))),
% quotient(t(quotient(A,
% i(A)),B),
% j(quotient(A,i(A))))))) is composed into
% [1915]
% t(j(j(A)),difference(eta(A),difference(B,difference(j(B),quotient(t(B,
% j(j(A))),
% j(B)))))) <->
% difference(j(j(A)),difference(t(j(j(j(A))),quotient(A,j(A))),difference(
% j(t(j(j(j(A))),
% quotient(A,
% j(A)))),
% quotient(
% t(t(j(j(j(A))),
% quotient(A,
% j(A))),B),
% j(t(j(j(j(A))),
% quotient(A,
% j(A))))))))
% Rule [1653]
% difference(i(i(B)),difference(difference(i(B),quotient(quotient(A,B),
% j(B))),difference(
% j(difference(
% i(B),quotient(
% quotient(A,B),
% j(B)))),
% quotient(t(
% difference(
% i(B),
% quotient(
% quotient(A,B),
% j(B))),B),
% j(difference(
% i(B),quotient(
% quotient(A,B),
% j(B))))))))
% ->
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(B,i(B))),
% j(A)))),i(i(B))) is composed into
% [1653]
% difference(i(i(B)),difference(difference(i(B),quotient(quotient(A,B),j(B))),
% difference(j(difference(i(B),quotient(quotient(A,B),j(B)))),
% quotient(t(difference(i(B),quotient(quotient(A,B),j(B))),B),
% j(difference(i(B),quotient(quotient(A,B),j(B)))))))) ->
% quotient(difference(A,difference(j(A),quotient(t(A,t(j(j(j(B))),quotient(B,
% j(B)))),
% j(A)))),i(i(B)))
% Rule [1648]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(i(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(quotient(A,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))))))),
% j(B)))),A) ->
% difference(A,quotient(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% i(difference(A,difference(j(A),quotient(t(A,B),j(A))))))) is composed into
% [1648]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(i(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(quotient(A,
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))),
% j(B)))),A) ->
% difference(A,t(j(j(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))),
% quotient(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))))
% Rule [1353]
% difference(j(j(j(t(eta(A),B)))),quotient(t(eta(A),eta(B)),j(j(j(
% t(
% eta(A),B))))))
% -> t(eta(A),quotient(B,i(B))) is composed into [1353]
% difference(j(j(j(
% t(
% eta(A),B)))),
% quotient(t(eta(A),eta(B)),
% j(j(j(t(eta(A),B)))))) ->
% t(eta(A),t(j(j(j(B))),
% quotient(B,
% j(B))))
% Rule [856]
% t(i(i(A)),difference(B,difference(j(B),quotient(t(B,i(i(A))),j(B)))))
% <->
% difference(i(i(A)),difference(difference(A,quotient(quotient(difference(
% j(A),
% quotient(A,
% i(A))),
% j(A)),j(j(A)))),
% difference(j(difference(A,quotient(quotient(difference(
% j(A),
% quotient(A,
% i(A))),
% j(A)),j(j(A))))),
% quotient(t(difference(A,quotient(quotient(difference(
% j(A),
% quotient(A,
% i(A))),
% j(A)),j(j(A)))),B),
% j(difference(A,quotient(quotient(difference(j(A),
% quotient(A,i(A))),
% j(A)),j(j(A))))))))) is composed into
% [856]
% t(i(i(A)),difference(B,difference(j(B),quotient(t(B,i(i(A))),j(B))))) <->
% difference(i(i(A)),difference(difference(A,quotient(quotient(difference(
% j(A),t(j(
% j(j(A))),
% quotient(A,
% j(A)))),
% j(A)),j(j(A)))),difference(
% j(
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),
% t(
% j(
% j(j(A))),
% quotient(A,
% j(A)))),
% j(A)),
% j(
% j(A))))),
% quotient(
% t(
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),
% t(
% j(
% j(j(A))),
% quotient(A,
% j(A)))),
% j(A)),
% j(
% j(A)))),B),
% j(
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),
% t(
% j(
% j(j(A))),
% quotient(A,
% j(A)))),
% j(A)),
% j(
% j(A)))))))))
% Rule [811] quotient(j(A),j(j(A))) -> i(quotient(A,i(A))) is composed into
% [811] quotient(j(A),j(j(A))) -> i(t(j(j(j(A))),quotient(A,j(A))))
% Rule [635] t(A,quotient(j(A),A)) -> i(quotient(A,i(A))) is composed into
% [635] t(A,quotient(j(A),A)) -> i(t(j(j(j(A))),quotient(A,j(A))))
% Rule [506] quotient(j(j(A)),j(A)) -> quotient(A,i(A)) is composed into
% [506] quotient(j(j(A)),j(A)) -> t(j(j(j(A))),quotient(A,j(A)))
% Rule [505] quotient(i(A),A) -> i(quotient(A,i(A))) is composed into [505]
% quotient(
% i(A),A)
% ->
% i(
% t(
% j(
% j(j(A))),
% quotient(A,
% j(A))))
% Rule [491] difference(j(A),A) -> quotient(A,i(A)) is composed into [491]
% difference(
% j(A),A) ->
% t(
% j(
% j(j(A))),
% quotient(A,
% j(A)))
% New rule produced : [2036] quotient(A,i(A)) -> t(j(j(j(A))),quotient(A,j(A)))
% Rule [500] difference(A,quotient(A,i(A))) -> i(i(A)) collapsed.
% Rule [514] quotient(quotient(A,i(A)),i(i(A))) -> A collapsed.
% Rule [539] quotient(quotient(A,i(A)),j(j(A))) -> j(j(j(j(A)))) collapsed.
% Rule
% [583] quotient(quotient(quotient(A,i(A)),j(A)),j(j(A))) -> quotient(A,i(A))
% collapsed.
% Rule
% [596] difference(A,difference(j(A),quotient(A,i(A)))) -> quotient(A,i(A))
% collapsed.
% Rule [636] quotient(i(quotient(A,i(A))),j(A)) -> j(A) collapsed.
% Rule [744] quotient(quotient(A,i(A)),j(j(j(j(A))))) -> j(j(j(j(j(j(A))))))
% collapsed.
% Rule
% [813]
% quotient(difference(A,i(quotient(A,i(A)))),i(A)) ->
% t(i(A),difference(A,j(A))) collapsed.
% Rule
% [833]
% quotient(difference(A,i(quotient(A,i(A)))),quotient(quotient(difference(A,
% j(A)),A),
% j(A))) -> i(A) collapsed.
% Rule [891] difference(j(j(j(j(j(j(A)))))),quotient(A,i(A))) -> j(j(j(j(A))))
% collapsed.
% Rule
% [1166]
% quotient(quotient(A,i(A)),j(j(j(j(j(j(A))))))) -> j(j(j(j(j(j(j(j(A))))))))
% collapsed.
% Rule
% [1196]
% difference(j(j(A)),difference(j(j(j(A))),quotient(A,i(A)))) ->
% quotient(A,i(A)) collapsed.
% Rule
% [1235]
% difference(j(j(j(j(j(j(j(j(A)))))))),quotient(A,i(A))) -> j(j(j(j(j(j(A))))))
% collapsed.
% Rule
% [1274]
% quotient(difference(i(A),quotient(A,i(A))),A) -> quotient(i(i(A)),j(A))
% collapsed.
% Rule
% [1358]
% difference(quotient(A,i(A)),difference(A,difference(j(A),quotient(t(A,
% difference(
% i(A),
% quotient(
% quotient(B,A),
% j(A)))),
% j(A))))) <->
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,quotient(A,i(A))),
% j(B)))),i(i(A))),A) collapsed.
% Rule
% [1359]
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,quotient(A,i(A))),
% j(B)))),i(i(A))),A) <->
% difference(quotient(A,i(A)),difference(A,difference(j(A),quotient(t(A,
% difference(
% i(A),
% quotient(
% quotient(B,A),
% j(A)))),
% j(A))))) collapsed.
% Rule
% [1444]
% difference(A,difference(quotient(A,i(A)),difference(j(quotient(A,i(A))),
% quotient(t(quotient(A,i(A)),B),
% j(quotient(A,i(A))))))) ->
% quotient(difference(i(A),quotient(B,j(A))),A) collapsed.
% Rule
% [1805]
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(A,
% i(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(A,
% i(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(A,
% i(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),j(A))))),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(A,i(A))))))))
% ->
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(
% i(A),
% quotient(
% quotient(B,A),
% j(A)))),
% j(A)))) collapsed.
% Rule
% [1838]
% difference(eta(A),quotient(difference(A,quotient(quotient(difference(
% j(A),quotient(A,
% i(A))),
% j(A)),j(j(A)))),A)) ->
% j(j(A)) collapsed.
% Rule
% [1864]
% difference(difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A)))),
% difference(A,difference(j(A),quotient(t(A,difference(B,quotient(quotient(
% difference(
% j(B),
% quotient(B,
% i(B))),
% j(B)),
% j(j(B))))),j(A))))) ->
% quotient(t(i(i(B)),difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A))))),A)
% collapsed.
% Rule [1876] t(quotient(A,i(A)),i(A)) -> j(A) collapsed.
% Rule [1877] quotient(i(A),i(i(A))) -> quotient(j(A),A) collapsed.
% Rule [1878] t(j(A),quotient(A,i(A))) -> quotient(A,j(A)) collapsed.
% Rule
% [1879]
% quotient(difference(j(quotient(A,i(A))),quotient(j(A),j(quotient(A,i(A))))),A)
% -> quotient(A,i(A)) collapsed.
% Rule
% [1903]
% quotient(difference(i(A),quotient(A,i(A))),quotient(A,i(A))) -> i(i(A))
% collapsed.
% Rule [1904] difference(i(quotient(A,i(A))),i(A)) -> A collapsed.
% Rule [1905] quotient(i(i(A)),quotient(A,i(A))) -> i(A) collapsed.
% Rule [1906] quotient(i(A),i(quotient(A,i(A)))) -> t(i(quotient(A,i(A))),A)
% collapsed.
% Rule [1908] difference(t(i(quotient(A,i(A))),A),i(A)) -> i(quotient(A,i(A)))
% collapsed.
% Rule [1911] difference(j(j(A)),quotient(A,i(A))) -> A collapsed.
% Rule
% [1913]
% difference(quotient(B,i(B)),quotient(quotient(difference(j(B),difference(B,
% difference(
% j(B),quotient(
% t(B,A),
% j(B))))),
% j(B)),j(j(B)))) <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,quotient(B,i(B))),
% j(A)))),B),j(j(B))) collapsed.
% Rule
% [1914]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,quotient(B,i(B))),
% j(A)))),B),j(j(B))) <->
% difference(quotient(B,i(B)),quotient(quotient(difference(j(B),difference(B,
% difference(
% j(B),quotient(
% t(B,A),
% j(B))))),
% j(B)),j(j(B)))) collapsed.
% Rule
% [1916]
% difference(j(j(A)),difference(quotient(A,i(A)),difference(j(quotient(A,i(A))),
% quotient(t(quotient(A,i(A)),B),
% j(quotient(A,i(A))))))) <->
% t(j(j(A)),difference(eta(A),difference(B,difference(j(B),quotient(t(B,
% j(j(A))),
% j(B)))))) collapsed.
% Rule
% [1936]
% quotient(i(A),t(i(quotient(A,i(A))),A)) ->
% t(t(i(quotient(A,i(A))),A),i(quotient(A,i(A)))) collapsed.
% Rule
% [1938]
% difference(t(t(i(quotient(A,i(A))),A),i(quotient(A,i(A)))),i(A)) ->
% t(i(quotient(A,i(A))),A) collapsed.
% Rule [1939] difference(quotient(A,i(A)),j(j(A))) -> j(A) collapsed.
% Rule [1940] quotient(j(j(A)),quotient(A,i(A))) -> t(quotient(A,i(A)),j(A))
% collapsed.
% Rule [1944] difference(t(quotient(A,i(A)),j(A)),j(j(A))) -> quotient(A,i(A))
% collapsed.
% Rule
% [1945]
% quotient(j(j(A)),t(quotient(A,i(A)),j(A))) ->
% t(t(quotient(A,i(A)),j(A)),quotient(A,i(A))) collapsed.
% Rule
% [1946]
% difference(t(t(quotient(A,i(A)),j(A)),quotient(A,i(A))),j(j(A))) ->
% t(quotient(A,i(A)),j(A)) collapsed.
% Rule
% [1954]
% difference(i(A),difference(A,i(quotient(A,i(A))))) -> difference(A,j(A))
% collapsed.
% Rule
% [1955] quotient(difference(A,i(quotient(A,i(A)))),difference(A,j(A))) -> i(A)
% collapsed.
% Rule
% [1957]
% difference(j(j(A)),i(quotient(A,i(A)))) ->
% quotient(quotient(difference(A,difference(A,j(A))),A),j(A)) collapsed.
% Rule [1966] difference(j(j(j(j(A)))),quotient(A,i(A))) -> j(j(A)) collapsed.
% Rule [2030] quotient(quotient(A,i(A)),i(i(i(i(A))))) -> i(i(A)) collapsed.
% Current number of equations to process: 193
% Current number of ordered equations: 0
% Current number of rules: 1287
% New rule produced :
% [2037] quotient(j(j(j(j(A)))),quotient(A,j(A))) -> j(j(j(A)))
% Current number of equations to process: 194
% Current number of ordered equations: 0
% Current number of rules: 1288
% New rule produced :
% [2038] difference(A,t(j(j(j(A))),quotient(A,j(A)))) -> i(i(A))
% Current number of equations to process: 193
% Current number of ordered equations: 0
% Current number of rules: 1289
% New rule produced : [2039] t(t(j(j(j(A))),quotient(A,j(A))),i(A)) -> j(A)
% Current number of equations to process: 192
% Current number of ordered equations: 0
% Current number of rules: 1290
% New rule produced :
% [2040] quotient(t(j(j(j(A))),quotient(A,j(A))),i(i(A))) -> A
% Current number of equations to process: 191
% Current number of ordered equations: 0
% Current number of rules: 1291
% New rule produced :
% [2041] difference(i(t(j(j(j(A))),quotient(A,j(A)))),i(A)) -> A
% Current number of equations to process: 190
% Current number of ordered equations: 0
% Current number of rules: 1292
% New rule produced :
% [2042] difference(j(j(A)),t(j(j(j(A))),quotient(A,j(A)))) -> A
% Current number of equations to process: 189
% Current number of ordered equations: 0
% Current number of rules: 1293
% New rule produced :
% [2043] quotient(i(t(j(j(j(A))),quotient(A,j(A)))),j(A)) -> j(A)
% Current number of equations to process: 188
% Current number of ordered equations: 0
% Current number of rules: 1294
% New rule produced :
% [2044] t(j(A),t(j(j(j(A))),quotient(A,j(A)))) -> quotient(A,j(A))
% Current number of equations to process: 187
% Current number of ordered equations: 0
% Current number of rules: 1295
% Rule [1777]
% difference(i(B),quotient(difference(difference(B,quotient(quotient(A,
% j(B)),
% j(j(B)))),difference(
% j(difference(B,
% quotient(
% quotient(A,
% j(B)),
% j(j(B))))),
% quotient(
% t(difference(B,
% quotient(
% quotient(A,
% j(B)),
% j(j(B)))),B),
% j(difference(B,
% quotient(
% quotient(A,
% j(B)),
% j(j(B)))))))),
% quotient(difference(j(B),quotient(quotient(A,j(B)),
% j(j(B)))),difference(B,
% quotient(quotient(A,
% j(B)),
% j(j(B))))))) ->
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(j(B),B)),
% j(A)))),i(B)) is composed into
% [1777]
% difference(i(B),quotient(difference(difference(B,quotient(quotient(A,j(B)),
% j(j(B)))),difference(
% j(difference(B,
% quotient(
% quotient(A,
% j(B)),j(j(B))))),
% quotient(t(
% difference(B,
% quotient(
% quotient(A,
% j(B)),
% j(
% j(B)))),B),
% j(difference(B,
% quotient(
% quotient(A,
% j(B)),j(j(B)))))))),
% quotient(difference(j(B),quotient(quotient(A,j(B)),j(j(B)))),
% difference(B,quotient(quotient(A,j(B)),j(j(B))))))) ->
% quotient(difference(A,difference(j(A),quotient(t(A,t(j(j(B)),i(t(j(j(j(B))),
% quotient(B,
% j(B)))))),
% j(A)))),i(B))
% Rule [1513]
% quotient(quotient(difference(j(B),j(A)),j(B)),j(j(B))) <->
% difference(A,quotient(difference(quotient(j(A),A),quotient(quotient(
% difference(A,
% j(j(B))),A),
% j(A))),j(j(A)))) is composed into
% [1513]
% quotient(quotient(difference(j(B),j(A)),j(B)),j(j(B))) <->
% difference(A,quotient(difference(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A))))),
% quotient(quotient(difference(A,j(j(B))),A),j(A))),
% j(j(A))))
% Rule [1208]
% difference(j(j(t(eta(A),B))),quotient(t(eta(A),eta(B)),j(j(t(eta(A),B)))))
% -> t(eta(A),quotient(j(B),B)) is composed into [1208]
% difference(j(j(t(
% eta(A),B))),
% quotient(t(eta(A),eta(B)),
% j(j(t(eta(A),B))))) ->
% t(eta(A),t(j(j(B)),
% i(t(j(j(j(B))),
% quotient(B,
% j(B))))))
% Rule [908]
% quotient(difference(A,difference(A,j(j(j(A))))),j(A)) ->
% quotient(j(A),A) is composed into [908]
% quotient(difference(A,difference(A,
% j(j(j(A))))),
% j(A)) ->
% t(j(j(A)),i(t(j(j(j(A))),quotient(A,
% j(A)))))
% Rule [572] i(difference(j(A),j(j(A)))) -> quotient(j(A),A) is composed into
% [572]
% i(difference(j(A),j(j(A)))) -> t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))
% Rule [233] difference(A,i(A)) -> quotient(j(A),A) is composed into [233]
% difference(A,
% i(A)) ->
% t(
% j(j(A)),
% i(
% t(
% j(
% j(j(A))),
% quotient(A,
% j(A)))))
% New rule produced :
% [2045] quotient(j(A),A) -> t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))
% Rule [301] quotient(quotient(j(A),A),i(A)) -> j(A) collapsed.
% Rule [501] quotient(i(A),quotient(j(A),A)) -> A collapsed.
% Rule [506] quotient(j(j(A)),j(A)) -> t(j(j(j(A))),quotient(A,j(A)))
% collapsed.
% Rule [512] difference(j(A),quotient(j(A),A)) -> i(A) collapsed.
% Rule [517] quotient(quotient(j(A),A),j(A)) -> j(j(j(A))) collapsed.
% Rule [536] difference(j(j(j(A))),quotient(j(A),A)) -> j(A) collapsed.
% Rule [576] quotient(quotient(j(A),A),j(j(j(A)))) -> j(j(j(j(j(A)))))
% collapsed.
% Rule [589] quotient(quotient(quotient(quotient(j(A),A),A),j(A)),i(A)) -> j(A)
% collapsed.
% Rule [635] t(A,quotient(j(A),A)) -> i(t(j(j(j(A))),quotient(A,j(A))))
% collapsed.
% Rule [637] quotient(j(eta(A)),eta(A)) -> i(quotient(eta(A),j(eta(A))))
% collapsed.
% Rule
% [638]
% quotient(quotient(quotient(quotient(j(A),A),A),j(A)),j(A)) -> j(j(j(A)))
% collapsed.
% Rule [639] difference(j(j(j(j(j(A))))),quotient(j(A),A)) -> j(j(j(A)))
% collapsed.
% Rule
% [845]
% t(eta(A),quotient(j(difference(eta(A),B)),difference(eta(A),B))) ->
% quotient(j(quotient(B,eta(A))),quotient(B,eta(A))) collapsed.
% Rule
% [1452]
% difference(j(A),difference(quotient(j(A),A),difference(j(quotient(j(A),A)),
% quotient(t(quotient(j(A),A),B),
% j(quotient(j(A),A)))))) ->
% quotient(difference(A,quotient(B,j(j(A)))),j(A)) collapsed.
% Rule
% [1480]
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,quotient(j(A),A)),
% j(B)))),i(A)),j(A)) <->
% difference(quotient(j(A),A),quotient(quotient(difference(A,difference(A,
% quotient(quotient(B,
% j(A)),
% j(j(A))))),A),
% j(A))) collapsed.
% Rule
% [1481]
% difference(quotient(j(A),A),quotient(quotient(difference(A,difference(A,
% quotient(quotient(B,
% j(A)),
% j(j(A))))),A),
% j(A))) <->
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,quotient(j(A),A)),
% j(B)))),i(A)),j(A)) collapsed.
% Rule
% [1512]
% difference(A,quotient(difference(quotient(j(A),A),quotient(quotient(difference(A,
% j(
% j(B))),A),
% j(A))),j(j(A)))) <->
% quotient(quotient(difference(j(B),j(A)),j(B)),j(j(B))) collapsed.
% Rule
% [1582]
% difference(eta(A),difference(A,quotient(quotient(quotient(quotient(quotient(
% difference(
% j(A),
% difference(
% j(
% j(j(A))),
% quotient(
% quotient(
% difference(A,
% quotient(
% quotient(
% quotient(
% j(A),A),A),
% j(A))),A),
% j(A)))),
% j(A)),
% j(j(A))),i(A)),
% j(A)),j(j(A))))) -> j(A) collapsed.
% Rule
% [1711]
% quotient(difference(A,quotient(difference(i(difference(quotient(j(B),B),
% quotient(j(B),quotient(difference(
% j(
% j(B)),
% i(B)),
% quotient(j(B),B))))),
% quotient(j(B),quotient(difference(j(j(B)),
% i(B)),quotient(j(B),B)))),
% difference(quotient(j(B),B),quotient(j(B),quotient(
% difference(
% j(j(B)),
% i(B)),
% quotient(
% j(B),B)))))),
% quotient(j(B),B)) -> quotient(difference(A,j(B)),quotient(j(B),B)) collapsed.
% Rule
% [1909]
% difference(j(quotient(j(A),A)),quotient(A,j(quotient(j(A),A)))) ->
% difference(i(A),difference(A,quotient(quotient(j(A),A),A))) collapsed.
% Rule
% [1910]
% quotient(difference(i(A),difference(A,quotient(quotient(j(A),A),A))),i(A)) ->
% quotient(j(A),A) collapsed.
% Rule [1933] i(quotient(j(A),A)) -> quotient(A,j(A)) collapsed.
% Rule [1948] quotient(quotient(j(A),A),i(i(i(A)))) -> i(A) collapsed.
% Rule [1963] t(j(j(A)),quotient(j(A),A)) -> i(t(j(j(j(A))),quotient(A,j(A))))
% collapsed.
% Rule [1964] t(quotient(j(A),A),A) -> j(j(A)) collapsed.
% Rule [1965] quotient(difference(A,quotient(j(A),A)),quotient(j(A),A)) -> i(A)
% collapsed.
% Rule
% [1975]
% quotient(difference(A,quotient(j(A),A)),i(A)) -> t(i(A),quotient(j(A),A))
% collapsed.
% Rule
% [1976] quotient(quotient(j(A),A),j(j(j(j(j(A)))))) -> j(j(j(j(j(j(j(A)))))))
% collapsed.
% Rule
% [1977]
% difference(j(j(A)),quotient(j(A),A)) ->
% quotient(quotient(difference(A,quotient(j(A),A)),A),j(A)) collapsed.
% Rule
% [1978]
% difference(j(j(j(j(j(j(j(A))))))),quotient(j(A),A)) -> j(j(j(j(j(A)))))
% collapsed.
% Current number of equations to process: 215
% Current number of ordered equations: 0
% Current number of rules: 1266
% New rule produced :
% [2046] quotient(i(i(A)),t(j(j(j(A))),quotient(A,j(A)))) -> i(A)
% Current number of equations to process: 214
% Current number of ordered equations: 0
% Current number of rules: 1267
% New rule produced :
% [2047] difference(t(j(j(j(A))),quotient(A,j(A))),j(j(A))) -> j(A)
% Current number of equations to process: 213
% Current number of ordered equations: 0
% Current number of rules: 1268
% New rule produced :
% [2048] difference(j(A),i(t(j(j(j(A))),quotient(A,j(A))))) -> j(A)
% Current number of equations to process: 212
% Current number of ordered equations: 0
% Current number of rules: 1269
% New rule produced :
% [2049] quotient(t(j(j(j(A))),quotient(A,j(A))),j(j(A))) -> j(j(j(j(A))))
% Current number of equations to process: 211
% Current number of ordered equations: 0
% Current number of rules: 1270
% New rule produced :
% [2050] difference(j(j(j(j(A)))),t(j(j(j(A))),quotient(A,j(A)))) -> j(j(A))
% Current number of equations to process: 210
% Current number of ordered equations: 0
% Current number of rules: 1271
% New rule produced :
% [2051] quotient(t(j(j(j(A))),quotient(A,j(A))),i(i(i(i(A))))) -> i(i(A))
% Current number of equations to process: 209
% Current number of ordered equations: 0
% Current number of rules: 1272
% New rule produced :
% [2052]
% quotient(difference(i(A),t(j(j(j(A))),quotient(A,j(A)))),A) ->
% quotient(i(i(A)),j(A))
% Current number of equations to process: 208
% Current number of ordered equations: 0
% Current number of rules: 1273
% New rule produced :
% [2053] i(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))) -> quotient(A,j(A))
% Current number of equations to process: 207
% Current number of ordered equations: 0
% Current number of rules: 1274
% New rule produced :
% [2054]
% difference(i(A),difference(A,i(t(j(j(j(A))),quotient(A,j(A)))))) ->
% difference(A,j(A))
% Current number of equations to process: 206
% Current number of ordered equations: 0
% Current number of rules: 1275
% New rule produced :
% [2055] quotient(i(A),t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))) -> A
% Current number of equations to process: 205
% Current number of ordered equations: 0
% Current number of rules: 1276
% New rule produced :
% [2056] t(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A))))),A) -> j(j(A))
% Current number of equations to process: 204
% Current number of ordered equations: 0
% Current number of rules: 1277
% New rule produced :
% [2057] quotient(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A))))),i(A)) -> j(A)
% Current number of equations to process: 203
% Current number of ordered equations: 0
% Current number of rules: 1278
% New rule produced :
% [2058] difference(j(A),t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))) -> i(A)
% Current number of equations to process: 202
% Current number of ordered equations: 0
% Current number of rules: 1279
% New rule produced :
% [2059]
% quotient(difference(A,i(t(j(j(j(A))),quotient(A,j(A))))),difference(A,j(A)))
% -> i(A)
% Current number of equations to process: 201
% Current number of ordered equations: 0
% Current number of rules: 1280
% New rule produced :
% [2060]
% quotient(difference(A,i(t(j(j(j(A))),quotient(A,j(A))))),i(A)) ->
% t(i(A),difference(A,j(A)))
% Current number of equations to process: 200
% Current number of ordered equations: 0
% Current number of rules: 1281
% New rule produced :
% [2061]
% quotient(t(j(j(j(A))),quotient(A,j(A))),j(j(j(j(A))))) -> j(j(j(j(j(j(A))))))
% Current number of equations to process: 199
% Current number of ordered equations: 0
% Current number of rules: 1282
% New rule produced :
% [2062]
% difference(A,difference(j(A),t(j(j(j(A))),quotient(A,j(A))))) ->
% t(j(j(j(A))),quotient(A,j(A)))
% Current number of equations to process: 198
% Current number of ordered equations: 0
% Current number of rules: 1283
% New rule produced :
% [2063]
% quotient(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A))))),j(A)) -> j(j(j(A)))
% Current number of equations to process: 197
% Current number of ordered equations: 0
% Current number of rules: 1284
% New rule produced :
% [2064]
% quotient(i(A),i(t(j(j(j(A))),quotient(A,j(A))))) ->
% t(i(t(j(j(j(A))),quotient(A,j(A)))),A)
% Current number of equations to process: 196
% Current number of ordered equations: 0
% Current number of rules: 1285
% New rule produced :
% [2065]
% quotient(j(j(A)),t(j(j(j(A))),quotient(A,j(A)))) ->
% t(t(j(j(j(A))),quotient(A,j(A))),j(A))
% Current number of equations to process: 195
% Current number of ordered equations: 0
% Current number of rules: 1286
% New rule produced :
% [2066]
% difference(j(j(j(j(j(j(A)))))),t(j(j(j(A))),quotient(A,j(A)))) ->
% j(j(j(j(A))))
% Current number of equations to process: 194
% Current number of ordered equations: 0
% Current number of rules: 1287
% New rule produced :
% [2067]
% difference(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A))))) ->
% quotient(quotient(difference(A,difference(A,j(A))),A),j(A))
% Current number of equations to process: 193
% Current number of ordered equations: 0
% Current number of rules: 1288
% New rule produced :
% [2068]
% difference(j(j(j(A))),t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))) -> j(A)
% Current number of equations to process: 192
% Current number of ordered equations: 0
% Current number of rules: 1289
% New rule produced :
% [2069]
% difference(t(i(t(j(j(j(A))),quotient(A,j(A)))),A),i(A)) ->
% i(t(j(j(j(A))),quotient(A,j(A))))
% Current number of equations to process: 191
% Current number of ordered equations: 0
% Current number of rules: 1290
% New rule produced :
% [2070]
% quotient(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A))))),i(i(i(A)))) -> i(A)
% Current number of equations to process: 190
% Current number of ordered equations: 0
% Current number of rules: 1291
% New rule produced :
% [2071]
% quotient(quotient(t(j(j(j(A))),quotient(A,j(A))),j(A)),j(j(A))) ->
% t(j(j(j(A))),quotient(A,j(A)))
% Current number of equations to process: 189
% Current number of ordered equations: 0
% Current number of rules: 1292
% New rule produced :
% [2072]
% difference(t(t(j(j(j(A))),quotient(A,j(A))),j(A)),j(j(A))) ->
% t(j(j(j(A))),quotient(A,j(A)))
% Current number of equations to process: 188
% Current number of ordered equations: 0
% Current number of rules: 1293
% New rule produced :
% [2073]
% t(A,t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))) ->
% i(t(j(j(j(A))),quotient(A,j(A))))
% Current number of equations to process: 187
% Current number of ordered equations: 0
% Current number of rules: 1294
% New rule produced :
% [2074]
% i(t(eta(A),t(j(eta(A)),quotient(eta(A),j(eta(A)))))) ->
% i(quotient(eta(A),j(eta(A))))
% Current number of equations to process: 186
% Current number of ordered equations: 0
% Current number of rules: 1295
% New rule produced :
% [2075]
% quotient(t(j(j(j(A))),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: 185
% Current number of ordered equations: 0
% Current number of rules: 1296
% New rule produced :
% [2076]
% quotient(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A))))),j(j(j(A)))) ->
% j(j(j(j(j(A)))))
% Current number of equations to process: 184
% Current number of ordered equations: 0
% Current number of rules: 1297
% New rule produced :
% [2077]
% t(j(j(j(A))),i(t(j(j(j(j(A)))),i(t(j(j(j(A))),quotient(A,j(A))))))) ->
% t(j(j(j(A))),quotient(A,j(A)))
% Current number of equations to process: 183
% Current number of ordered equations: 0
% Current number of rules: 1298
% New rule produced :
% [2078]
% difference(j(j(j(j(j(j(j(j(A)))))))),t(j(j(j(A))),quotient(A,j(A)))) ->
% j(j(j(j(j(j(A))))))
% Current number of equations to process: 182
% Current number of ordered equations: 0
% Current number of rules: 1299
% New rule produced :
% [2079]
% difference(j(j(A)),difference(j(j(j(A))),t(j(j(j(A))),quotient(A,j(A))))) ->
% t(j(j(j(A))),quotient(A,j(A)))
% Current number of equations to process: 181
% Current number of ordered equations: 0
% Current number of rules: 1300
% New rule produced :
% [2080]
% quotient(quotient(quotient(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A))))),A),
% j(A)),i(A)) -> j(A)
% Current number of equations to process: 180
% Current number of ordered equations: 0
% Current number of rules: 1301
% New rule produced :
% [2081]
% quotient(difference(A,i(t(j(j(j(A))),quotient(A,j(A))))),quotient(quotient(
% difference(A,
% j(A)),A),
% j(A))) -> i(A)
% Current number of equations to process: 179
% Current number of ordered equations: 0
% Current number of rules: 1302
% New rule produced :
% [2082]
% difference(j(j(j(j(j(A))))),t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))) ->
% j(j(j(A)))
% Current number of equations to process: 178
% Current number of ordered equations: 0
% Current number of rules: 1303
% New rule produced :
% [2083]
% t(j(j(A)),t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))) ->
% i(t(j(j(j(A))),quotient(A,j(A))))
% Current number of equations to process: 177
% Current number of ordered equations: 0
% Current number of rules: 1304
% New rule produced :
% [2084]
% quotient(difference(i(A),t(j(j(j(A))),quotient(A,j(A)))),t(j(j(j(A))),
% quotient(A,j(A))))
% -> i(i(A))
% Current number of equations to process: 176
% Current number of ordered equations: 0
% Current number of rules: 1305
% New rule produced :
% [2085]
% quotient(quotient(quotient(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A))))),A),
% j(A)),j(A)) -> j(j(j(A)))
% Current number of equations to process: 175
% Current number of ordered equations: 0
% Current number of rules: 1306
% New rule produced :
% [2086]
% quotient(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A))))),j(j(j(j(j(A)))))) ->
% j(j(j(j(j(j(j(A)))))))
% Current number of equations to process: 174
% Current number of ordered equations: 0
% Current number of rules: 1307
% New rule produced :
% [2087]
% difference(j(j(j(j(j(j(j(A))))))),t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A))))))
% -> j(j(j(j(j(A)))))
% Current number of equations to process: 173
% Current number of ordered equations: 0
% Current number of rules: 1308
% New rule produced :
% [2088]
% difference(eta(A),quotient(difference(A,quotient(quotient(difference(
% j(A),t(j(j(j(A))),
% quotient(A,
% j(A)))),
% j(A)),j(j(A)))),A)) ->
% j(j(A))
% Current number of equations to process: 172
% Current number of ordered equations: 0
% Current number of rules: 1309
% New rule produced :
% [2089]
% quotient(difference(A,t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))),i(A)) ->
% t(i(A),t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A))))))
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 1310
% New rule produced :
% [2090]
% quotient(j(j(A)),t(t(j(j(j(A))),quotient(A,j(A))),j(A))) ->
% t(t(t(j(j(j(A))),quotient(A,j(A))),j(A)),t(j(j(j(A))),quotient(A,j(A))))
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 1311
% New rule produced :
% [2091]
% difference(j(j(A)),t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))) ->
% quotient(quotient(difference(A,t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))),A),
% j(A))
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 1312
% New rule produced :
% [2092]
% quotient(difference(j(t(j(j(j(A))),quotient(A,j(A)))),quotient(j(A),j(
% t(
% j(
% j(j(A))),
% quotient(A,
% j(A)))))),A)
% -> t(j(j(j(A))),quotient(A,j(A)))
% Current number of equations to process: 168
% Current number of ordered equations: 0
% Current number of rules: 1313
% New rule produced :
% [2093]
% quotient(i(A),t(i(t(j(j(j(A))),quotient(A,j(A)))),A)) ->
% t(t(i(t(j(j(j(A))),quotient(A,j(A)))),A),i(t(j(j(j(A))),quotient(A,j(A)))))
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 1314
% New rule produced :
% [2094]
% quotient(difference(i(A),difference(A,quotient(t(j(j(A)),i(t(j(j(j(A))),
% quotient(A,
% j(A))))),A))),
% i(A)) -> t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))
% Current number of equations to process: 166
% Current number of ordered equations: 0
% Current number of rules: 1315
% New rule produced :
% [2095]
% difference(t(t(i(t(j(j(j(A))),quotient(A,j(A)))),A),i(t(j(j(j(A))),quotient(A,
% j(A))))),
% i(A)) -> t(i(t(j(j(j(A))),quotient(A,j(A)))),A)
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 1316
% New rule produced :
% [2096]
% difference(t(t(t(j(j(j(A))),quotient(A,j(A))),j(A)),t(j(j(j(A))),quotient(A,
% j(A)))),
% j(j(A))) -> t(t(j(j(j(A))),quotient(A,j(A))),j(A))
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 1317
% New rule produced :
% [2097]
% quotient(difference(A,t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))),t(
% j(j(A)),
% i(
% t(
% j(
% j(j(A))),
% quotient(A,
% j(A))))))
% -> i(A)
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 1318
% New rule produced :
% [2098]
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,t(j(j(j(A))),
% quotient(A,
% j(A)))),j(B)))),
% i(i(A))),A) <->
% difference(t(j(j(j(A))),quotient(A,j(A))),difference(A,difference(j(A),
% quotient(t(A,difference(
% i(A),
% quotient(
% quotient(B,A),
% j(A)))),
% j(A)))))
% Current number of equations to process: 161
% Current number of ordered equations: 1
% Current number of rules: 1319
% New rule produced :
% [2099]
% difference(t(j(j(j(A))),quotient(A,j(A))),difference(A,difference(j(A),
% quotient(t(A,difference(
% i(A),
% quotient(
% quotient(B,A),
% j(A)))),
% j(A))))) <->
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,t(j(j(j(A))),
% quotient(A,
% j(A)))),j(B)))),
% i(i(A))),A)
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 1320
% New rule produced :
% [2100]
% t(eta(A),t(j(j(difference(eta(A),B))),i(t(j(j(j(difference(eta(A),B)))),
% quotient(difference(eta(A),B),
% j(difference(eta(A),B))))))) ->
% t(j(j(quotient(B,eta(A)))),i(t(j(j(j(quotient(B,eta(A))))),quotient(quotient(B,
% eta(A)),
% j(quotient(B,
% eta(A)))))))
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 1321
% New rule produced :
% [2101]
% difference(j(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))),quotient(A,
% j(t(j(j(A)),
% i(t(j(j(j(A))),
% quotient(A,
% j(A)))))))) ->
% difference(i(A),difference(A,quotient(t(j(j(A)),i(t(j(j(j(A))),quotient(A,
% j(A))))),A)))
% Current number of equations to process: 159
% Current number of ordered equations: 0
% Current number of rules: 1322
% New rule produced :
% [2102]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,t(j(j(j(B))),
% quotient(B,
% j(B)))),j(A)))),B),
% j(j(B))) <->
% difference(t(j(j(j(B))),quotient(B,j(B))),quotient(quotient(difference(
% j(B),difference(B,
% difference(
% j(B),
% quotient(
% t(B,A),
% j(B))))),
% j(B)),j(j(B))))
% Current number of equations to process: 158
% Current number of ordered equations: 1
% Current number of rules: 1323
% New rule produced :
% [2103]
% difference(t(j(j(j(B))),quotient(B,j(B))),quotient(quotient(difference(
% j(B),difference(B,
% difference(
% j(B),
% quotient(
% t(B,A),
% j(B))))),
% j(B)),j(j(B)))) <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,t(j(j(j(B))),
% quotient(B,
% j(B)))),j(A)))),B),
% j(j(B)))
% Current number of equations to process: 158
% Current number of ordered equations: 0
% Current number of rules: 1324
% New rule produced :
% [2104]
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,t(j(j(A)),
% i(t(j(j(j(A))),
% quotient(A,
% j(A)))))),
% j(B)))),i(A)),j(A)) <->
% difference(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A))))),quotient(quotient(
% difference(A,
% difference(A,
% quotient(
% quotient(B,
% j(A)),
% j(j(A))))),A),
% j(A)))
% Current number of equations to process: 157
% Current number of ordered equations: 1
% Current number of rules: 1325
% New rule produced :
% [2105]
% difference(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A))))),quotient(quotient(
% difference(A,
% difference(A,
% quotient(
% quotient(B,
% j(A)),
% j(j(A))))),A),
% j(A))) <->
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,t(j(j(A)),
% i(t(j(j(j(A))),
% quotient(A,
% j(A)))))),
% j(B)))),i(A)),j(A))
% Current number of equations to process: 157
% Current number of ordered equations: 0
% Current number of rules: 1326
% New rule produced :
% [2106]
% difference(A,difference(t(j(j(j(A))),quotient(A,j(A))),difference(j(t(
% j(
% j(j(A))),
% quotient(A,
% j(A)))),
% quotient(t(t(j(
% j(j(A))),
% quotient(A,
% j(A))),B),
% j(t(j(j(j(A))),
% quotient(A,j(A))))))))
% -> quotient(difference(i(A),quotient(B,j(A))),A)
% Current number of equations to process: 156
% Current number of ordered equations: 0
% Current number of rules: 1327
% New rule produced :
% [2107] quotient(difference(j(j(j(j(j(A))))),eta(A)),eta(A)) -> j(j(j(j(A))))
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 1328
% New rule produced :
% [2108]
% i(difference(A,difference(j(A),quotient(eta(A),j(eta(A)))))) ->
% quotient(j(j(j(j(A)))),A)
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 1329
% Rule [1968]
% difference(j(j(j(j(A)))),eta(A)) ->
% quotient(quotient(difference(eta(A),j(j(j(A)))),eta(A)),j(eta(A))) is composed into
% [1968] difference(j(j(j(j(A)))),eta(A)) -> j(j(j(j(j(A)))))
% Rule [1885]
% difference(eta(A),difference(A,t(j(j(A)),i(A)))) ->
% quotient(quotient(difference(A,quotient(quotient(difference(eta(A),
% j(j(j(A)))),eta(A)),
% j(eta(A)))),A),i(A)) is composed into
% [1885]
% difference(eta(A),difference(A,t(j(j(A)),i(A)))) ->
% quotient(quotient(difference(A,j(j(j(j(j(A)))))),A),i(A))
% New rule produced :
% [2109]
% quotient(quotient(difference(eta(A),j(j(j(A)))),eta(A)),j(eta(A))) ->
% j(j(j(j(j(A)))))
% Rule
% [1969]
% quotient(quotient(quotient(difference(eta(A),j(j(j(A)))),eta(A)),j(eta(A))),
% eta(A)) -> j(j(j(A))) collapsed.
% Current number of equations to process: 159
% Current number of ordered equations: 0
% Current number of rules: 1329
% New rule produced :
% [2110]
% t(eta(A),quotient(t(j(j(j(j(j(A))))),i(t(j(j(j(j(j(j(A)))))),i(t(j(j(
% j(
% j(j(A))))),
% i(t(j(
% j(
% j(j(A)))),
% i(t(
% j(
% j(j(A))),
% quotient(A,
% j(A))))))))))),
% j(j(j(j(A)))))) -> j(j(A))
% Current number of equations to process: 158
% Current number of ordered equations: 0
% Current number of rules: 1330
% New rule produced :
% [2111]
% quotient(quotient(t(j(j(j(j(j(A))))),i(t(j(j(j(j(j(j(A)))))),i(t(j(j(
% j(
% j(j(A))))),
% i(t(j(
% j(
% j(j(A)))),
% i(t(
% j(
% j(j(A))),
% quotient(A,
% j(A))))))))))),
% j(j(j(j(A))))),eta(A)) -> j(j(j(j(A))))
% Current number of equations to process: 157
% Current number of ordered equations: 0
% Current number of rules: 1331
% New rule produced :
% [2112] quotient(i(i(i(i(A)))),A) -> quotient(eta(A),j(eta(A)))
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 1332
% New rule produced :
% [2113] quotient(i(i(A)),j(j(A))) -> quotient(eta(A),j(eta(A)))
% Rule
% [2007]
% difference(j(A),difference(j(A),difference(j(j(A)),quotient(i(i(A)),j(j(A))))))
% -> j(j(j(j(A)))) collapsed.
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 1332
% New rule produced :
% [2114] difference(quotient(eta(A),j(eta(A))),i(i(i(A)))) -> j(A)
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 1333
% New rule produced :
% [2115]
% difference(j(j(A)),i(A)) ->
% quotient(quotient(difference(A,i(i(i(A)))),A),j(A))
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 1334
% New rule produced :
% [2116]
% 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: 164
% Current number of ordered equations: 0
% Current number of rules: 1335
% New rule produced :
% [2117]
% 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: 163
% Current number of ordered equations: 0
% Current number of rules: 1336
% New rule produced :
% [2118]
% difference(j(A),difference(j(A),difference(j(j(A)),quotient(eta(A),j(eta(A))))))
% -> j(j(j(j(A))))
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 1337
% New rule produced :
% [2119]
% difference(i(A),t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))) -> i(i(i(A)))
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 1338
% New rule produced :
% [2120]
% difference(i(i(A)),quotient(t(j(j(j(A))),quotient(A,j(A))),A)) ->
% difference(A,difference(j(A),quotient(eta(A),j(eta(A)))))
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 1339
% New rule produced :
% [2121]
% 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: 159
% Current number of ordered equations: 0
% Current number of rules: 1340
% New rule produced :
% [2122]
% 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: 158
% Current number of ordered equations: 0
% Current number of rules: 1341
% New rule produced :
% [2123]
% difference(eta(A),t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))) ->
% quotient(quotient(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A))))),A),i(A))
% Current number of equations to process: 157
% Current number of ordered equations: 0
% Current number of rules: 1342
% Rule [2120]
% difference(i(i(A)),quotient(t(j(j(j(A))),quotient(A,j(A))),A)) ->
% difference(A,difference(j(A),quotient(eta(A),j(eta(A))))) is composed into
% [2120]
% difference(i(i(A)),quotient(t(j(j(j(A))),quotient(A,j(A))),A)) ->
% difference(A,j(j(j(j(A)))))
% New rule produced :
% [2124] difference(j(A),quotient(eta(A),j(eta(A)))) -> j(j(j(j(A))))
% Rule
% [1384]
% quotient(difference(A,quotient(difference(i(difference(B,difference(B,
% difference(j(B),
% quotient(eta(B),
% j(eta(B))))))),
% difference(B,difference(j(B),quotient(
% eta(B),j(eta(B)))))),
% difference(B,difference(B,difference(j(B),quotient(
% eta(B),
% j(eta(B)))))))),B)
% -> quotient(difference(A,j(eta(B))),B) collapsed.
% Rule
% [2108]
% i(difference(A,difference(j(A),quotient(eta(A),j(eta(A)))))) ->
% quotient(j(j(j(j(A)))),A) collapsed.
% Current number of equations to process: 159
% Current number of ordered equations: 0
% Current number of rules: 1341
% New rule produced :
% [2125] i(difference(A,j(j(j(j(A)))))) -> quotient(j(j(j(j(A)))),A)
% Current number of equations to process: 158
% Current number of ordered equations: 0
% Current number of rules: 1342
% New rule produced :
% [2126]
% quotient(difference(A,quotient(difference(i(difference(B,difference(B,
% j(j(j(j(B))))))),
% difference(B,j(j(j(j(B)))))),difference(B,
% difference(B,
% j(j(j(j(B)))))))),B)
% -> quotient(difference(A,j(eta(B))),B)
% Current number of equations to process: 157
% Current number of ordered equations: 0
% Current number of rules: 1343
% New rule produced : [2127] t(i(i(i(i(i(A))))),eta(A)) -> j(eta(A))
% Current number of equations to process: 159
% Current number of ordered equations: 0
% Current number of rules: 1344
% New rule produced :
% [2128] difference(t(j(eta(A)),i(i(i(i(i(A)))))),i(i(i(A)))) -> j(eta(A))
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 1345
% New rule produced :
% [2129] difference(j(eta(A)),i(i(i(A)))) -> i(i(i(i(i(A)))))
% Current number of equations to process: 159
% Current number of ordered equations: 0
% Current number of rules: 1346
% New rule produced : [2130] t(j(eta(A)),i(i(i(i(i(A)))))) -> i(A)
% Rule [2128] difference(t(j(eta(A)),i(i(i(i(i(A)))))),i(i(i(A)))) -> j(eta(A))
% collapsed.
% Current number of equations to process: 158
% Current number of ordered equations: 0
% Current number of rules: 1346
% New rule produced :
% [2131]
% difference(eta(A),difference(j(eta(A)),quotient(i(i(i(i(i(i(i(A))))))),
% j(eta(A))))) ->
% difference(j(eta(A)),quotient(i(i(i(i(i(A))))),j(eta(A))))
% Current number of equations to process: 157
% Current number of ordered equations: 0
% Current number of rules: 1347
% New rule produced :
% [2132]
% difference(difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A)))),
% difference(A,difference(j(A),quotient(t(A,difference(B,quotient(quotient(
% difference(
% j(B),
% t(j(j(j(B))),
% quotient(B,
% j(B)))),
% j(B)),
% j(j(B))))),j(A))))) ->
% quotient(t(i(i(B)),difference(A,difference(j(A),quotient(t(A,i(i(B))),j(A))))),A)
% Current number of equations to process: 156
% Current number of ordered equations: 0
% Current number of rules: 1348
% New rule produced :
% [2133] quotient(j(t(eta(A),B)),quotient(j(B),eta(A))) -> eta(A)
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 1349
% New rule produced :
% [2134] quotient(i(t(eta(A),B)),quotient(i(B),eta(A))) -> eta(A)
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 1350
% New rule produced :
% [2135]
% quotient(quotient(A,eta(B)),quotient(difference(eta(B),A),eta(B))) -> eta(B)
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 1351
% New rule produced :
% [2136]
% quotient(t(eta(A),quotient(quotient(difference(B,eta(A)),B),j(B))),j(B)) ->
% eta(A)
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 1352
% New rule produced :
% [2137]
% quotient(t(eta(A),difference(B,quotient(quotient(eta(A),j(B)),j(j(B))))),
% i(B)) -> eta(A)
% Rule
% [1853]
% difference(j(A),quotient(t(eta(B),difference(A,quotient(quotient(eta(B),j(A)),
% j(j(A))))),i(A))) ->
% difference(j(A),eta(B)) collapsed.
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 1352
% New rule produced :
% [2138]
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(quotient(B,
% difference(
% eta(A),C)),
% eta(A))) -> eta(A)
% Current number of equations to process: 159
% Current number of ordered equations: 0
% Current number of rules: 1353
% New rule produced :
% [2139]
% quotient(quotient(quotient(A,eta(B)),t(eta(B),C)),quotient(quotient(difference(
% eta(B),A),C),
% eta(B))) -> eta(B)
% Current number of equations to process: 158
% Current number of ordered equations: 0
% Current number of rules: 1354
% New rule produced :
% [2140]
% t(eta(A),quotient(difference(j(difference(B,eta(A))),quotient(B,j(difference(B,
% eta(A))))),
% difference(eta(A),difference(eta(A),difference(j(eta(A)),quotient(
% difference(B,
% eta(A)),
% j(eta(A))))))))
% -> eta(A)
% Current number of equations to process: 157
% Current number of ordered equations: 0
% Current number of rules: 1355
% New rule produced : [2141] quotient(difference(i(A),j(j(A))),A) -> i(i(A))
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 1356
% New rule produced :
% [2142] difference(t(i(A),j(A)),difference(A,j(j(j(A))))) -> i(A)
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 1357
% New rule produced :
% [2143] quotient(t(j(eta(A)),quotient(eta(A),j(eta(A)))),eta(A)) -> eta(A)
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 1358
% New rule produced :
% [2144]
% quotient(difference(A,quotient(i(A),j(j(A)))),i(A)) ->
% t(i(A),difference(A,j(j(j(A)))))
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 1359
% New rule produced :
% [2145]
% quotient(difference(A,j(j(j(A)))),t(i(A),j(A))) -> t(t(i(A),j(A)),i(A))
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 1360
% New rule produced :
% [2146]
% quotient(difference(A,quotient(i(A),j(j(A)))),difference(A,j(j(j(A))))) ->
% i(A)
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 1361
% New rule produced :
% [2147]
% difference(t(t(i(A),j(A)),i(A)),difference(A,j(j(j(A))))) -> t(i(A),j(A))
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 1362
% New rule produced :
% [2148]
% difference(j(j(A)),quotient(i(A),j(j(A)))) ->
% quotient(quotient(difference(A,difference(A,j(j(j(A))))),A),j(A))
% Current number of equations to process: 159
% Current number of ordered equations: 0
% Current number of rules: 1363
% New rule produced : [2149] difference(A,quotient(i(i(A)),j(A))) -> j(j(A))
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 1364
% New rule produced : [2150] quotient(quotient(i(i(i(A))),A),j(A)) -> i(A)
% Rule
% [1223]
% quotient(difference(i(i(i(i(A)))),difference(i(A),quotient(quotient(i(
% i(i(A))),A),
% j(A)))),i(i(i(A)))) ->
% eta(A) collapsed.
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 1364
% New rule produced : [2151] quotient(quotient(i(i(A)),j(A)),A) -> t(A,j(j(A)))
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 1365
% New rule produced :
% [2152] difference(t(A,j(j(A))),quotient(i(i(A)),j(A))) -> A
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 1366
% New rule produced :
% [2153] quotient(quotient(i(i(A)),j(A)),t(A,j(j(A)))) -> t(t(A,j(j(A))),A)
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 1367
% New rule produced :
% [2154]
% quotient(difference(j(A),quotient(A,j(j(j(A))))),quotient(i(i(A)),j(A))) -> A
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 1368
% New rule produced :
% [2155] difference(t(t(A,j(j(A))),A),quotient(i(i(A)),j(A))) -> t(A,j(j(A)))
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 1369
% New rule produced :
% [2156]
% difference(j(j(j(A))),quotient(A,j(j(j(A))))) ->
% quotient(quotient(difference(j(A),quotient(i(i(A)),j(A))),j(A)),j(j(A)))
% Current number of equations to process: 159
% Current number of ordered equations: 0
% Current number of rules: 1370
% New rule produced :
% [2157] quotient(difference(eta(A),j(j(j(A)))),eta(A)) -> j(j(j(A)))
% Rule
% [2109]
% quotient(quotient(difference(eta(A),j(j(j(A)))),eta(A)),j(eta(A))) ->
% j(j(j(j(j(A))))) collapsed.
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 1370
% New rule produced :
% [2158]
% quotient(difference(eta(A),quotient(quotient(difference(B,eta(A)),B),j(B))),
% eta(A)) -> difference(eta(A),j(B))
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 1371
% New rule produced :
% [2159]
% t(eta(A),quotient(B,quotient(difference(eta(A),C),eta(A)))) <->
% quotient(t(eta(A),B),quotient(quotient(C,eta(A)),eta(A)))
% Current number of equations to process: 164
% Current number of ordered equations: 1
% Current number of rules: 1372
% New rule produced :
% [2160]
% quotient(t(eta(A),B),quotient(quotient(C,eta(A)),eta(A))) <->
% t(eta(A),quotient(B,quotient(difference(eta(A),C),eta(A))))
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 1373
% New rule produced :
% [2161]
% quotient(difference(eta(A),difference(B,quotient(quotient(eta(A),j(B)),
% j(j(B))))),eta(A)) ->
% difference(eta(A),i(B))
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 1374
% New rule produced :
% [2162]
% quotient(difference(eta(A),difference(B,difference(j(B),quotient(t(B,eta(A)),
% j(B))))),eta(A)) ->
% difference(eta(A),B)
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 1375
% New rule produced :
% [2163]
% quotient(quotient(quotient(quotient(difference(eta(A),B),eta(A)),eta(A)),
% j(eta(A))),quotient(B,eta(A))) -> j(eta(A))
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 1376
% New rule produced :
% [2164]
% quotient(difference(eta(A),difference(j(difference(B,eta(A))),quotient(B,
% j(difference(B,
% eta(A)))))),
% eta(A)) -> difference(eta(A),difference(B,eta(A)))
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 1377
% New rule produced :
% [2165]
% quotient(difference(j(quotient(difference(eta(A),B),eta(A))),quotient(
% eta(A),j(
% quotient(
% difference(
% eta(A),B),
% eta(A))))),
% quotient(B,eta(A))) -> quotient(difference(eta(A),B),eta(A))
% Current number of equations to process: 159
% Current number of ordered equations: 0
% Current number of rules: 1378
% New rule produced :
% [2166]
% difference(eta(A),j(quotient(B,eta(A)))) ->
% quotient(j(difference(eta(A),B)),eta(A))
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 1379
% New rule produced :
% [2167] difference(eta(A),j(j(t(eta(A),B)))) -> quotient(j(j(B)),eta(A))
% Current number of equations to process: 168
% Current number of ordered equations: 0
% Current number of rules: 1380
% New rule produced :
% [2168] quotient(difference(eta(A),j(j(j(j(A))))),eta(A)) -> j(j(j(j(A))))
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 1381
% New rule produced :
% [2169] t(j(eta(A)),j(t(eta(A),B))) -> t(eta(A),t(j(eta(A)),j(B)))
% Current number of equations to process: 166
% Current number of ordered equations: 0
% Current number of rules: 1382
% New rule produced :
% [2170]
% difference(eta(A),j(quotient(t(eta(A),B),quotient(C,eta(A))))) ->
% quotient(j(quotient(B,difference(eta(A),C))),eta(A))
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 1383
% New rule produced :
% [2171]
% difference(eta(A),j(quotient(quotient(B,eta(A)),t(eta(A),C)))) ->
% quotient(j(quotient(difference(eta(A),B),C)),eta(A))
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 1384
% New rule produced :
% [2172]
% quotient(j(difference(difference(eta(A),B),C)),eta(A)) ->
% difference(eta(A),j(difference(quotient(B,eta(A)),t(eta(A),C))))
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 1385
% New rule produced :
% [2173]
% quotient(quotient(quotient(quotient(j(A),eta(B)),eta(B)),j(eta(B))),j(
% t(
% eta(B),A)))
% -> j(eta(B))
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 1386
% New rule produced :
% [2174]
% quotient(difference(j(quotient(j(A),eta(B))),quotient(eta(B),j(quotient(
% j(A),eta(B))))),
% j(t(eta(B),A))) -> quotient(j(A),eta(B))
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 1387
% New rule produced :
% [2175]
% difference(eta(A),j(difference(A,quotient(quotient(difference(j(A),j(j(B))),
% j(A)),j(j(A)))))) <->
% quotient(j(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B)))),eta(A))
% Current number of equations to process: 160
% Current number of ordered equations: 1
% Current number of rules: 1388
% New rule produced :
% [2176]
% quotient(j(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B)))),eta(A))
% <->
% difference(eta(A),j(difference(A,quotient(quotient(difference(j(A),j(j(B))),
% j(A)),j(j(A))))))
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 1389
% New rule produced :
% [2177]
% difference(eta(A),i(quotient(B,eta(A)))) ->
% quotient(i(difference(eta(A),B)),eta(A))
% Current number of equations to process: 168
% Current number of ordered equations: 0
% Current number of rules: 1390
% New rule produced :
% [2178] difference(eta(A),i(i(t(eta(A),B)))) -> quotient(i(i(B)),eta(A))
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 1391
% New rule produced :
% [2179] t(j(eta(A)),i(t(eta(A),B))) -> t(eta(A),t(j(eta(A)),i(B)))
% Current number of equations to process: 166
% Current number of ordered equations: 0
% Current number of rules: 1392
% New rule produced :
% [2180]
% difference(eta(A),i(quotient(t(eta(A),B),quotient(C,eta(A))))) ->
% quotient(i(quotient(B,difference(eta(A),C))),eta(A))
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 1393
% New rule produced :
% [2181]
% difference(eta(A),i(quotient(quotient(B,eta(A)),t(eta(A),C)))) ->
% quotient(i(quotient(difference(eta(A),B),C)),eta(A))
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 1394
% New rule produced :
% [2182]
% quotient(i(difference(difference(eta(A),B),C)),eta(A)) ->
% difference(eta(A),i(difference(quotient(B,eta(A)),t(eta(A),C))))
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 1395
% New rule produced :
% [2183]
% quotient(quotient(quotient(quotient(i(A),eta(B)),eta(B)),j(eta(B))),i(
% t(
% eta(B),A)))
% -> j(eta(B))
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 1396
% New rule produced :
% [2184]
% quotient(difference(eta(A),j(B)),eta(A)) <->
% quotient(i(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B)))),eta(A))
% Current number of equations to process: 161
% Current number of ordered equations: 1
% Current number of rules: 1397
% New rule produced :
% [2185]
% quotient(i(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B)))),eta(A))
% <-> quotient(difference(eta(A),j(B)),eta(A))
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 1398
% New rule produced :
% [2186]
% quotient(difference(j(quotient(i(A),eta(B))),quotient(eta(B),j(quotient(
% i(A),eta(B))))),
% i(t(eta(B),A))) -> quotient(i(A),eta(B))
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 1399
% New rule produced : [2187] t(i(i(A)),j(eta(A))) -> eta(A)
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 1400
% Rule [2131]
% difference(eta(A),difference(j(eta(A)),quotient(i(i(i(i(i(i(i(A))))))),
% j(eta(A))))) ->
% difference(j(eta(A)),quotient(i(i(i(i(i(A))))),j(eta(A)))) is composed into
% [2131]
% difference(eta(A),difference(j(eta(A)),quotient(i(i(i(i(i(i(i(A))))))),
% j(eta(A))))) ->
% difference(j(eta(A)),i(i(i(A))))
% New rule produced : [2188] quotient(i(i(i(i(i(A))))),j(eta(A))) -> i(i(i(A)))
% Rule
% [1138]
% difference(eta(A),difference(j(eta(A)),quotient(i(i(i(i(i(A))))),j(eta(A)))))
% -> difference(j(eta(A)),i(A)) collapsed.
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 1400
% New rule produced : [2189] difference(j(eta(A)),i(A)) -> i(i(i(A)))
% Rule [1918] difference(eta(A),difference(j(eta(A)),i(A))) -> i(A) collapsed.
% Rule
% [1919] quotient(difference(i(i(A)),difference(j(eta(A)),i(A))),i(A)) -> j(A)
% collapsed.
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 1399
% New rule produced :
% [2190] quotient(t(A,i(t(j(A),quotient(A,j(A))))),i(A)) -> j(A)
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 1400
% New rule produced : [2191] t(i(i(i(i(A)))),eta(A)) -> j(eta(A))
% Rule [645] difference(t(i(i(i(i(A)))),eta(A)),i(i(A))) -> i(i(i(i(A))))
% collapsed.
% Rule
% [1002]
% 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
% [1108]
% 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.
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 1398
% Rule [1185]
% difference(eta(A),difference(j(eta(A)),quotient(i(i(i(i(i(i(A)))))),
% j(eta(A))))) ->
% difference(j(eta(A)),i(i(A))) is composed into [1185]
% difference(eta(A),
% difference(j(eta(A)),
% quotient(i(i(i(i(i(i(A)))))),
% j(eta(A))))) ->
% i(i(i(i(A))))
% New rule produced : [2192] difference(j(eta(A)),i(i(A))) -> i(i(i(i(A))))
% Rule [820] difference(eta(A),difference(j(eta(A)),i(i(A)))) -> i(i(A))
% collapsed.
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 1398
% New rule produced :
% [2193] t(i(t(eta(A),B)),eta(A)) -> t(eta(A),t(i(B),eta(A)))
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 1399
% New rule produced :
% [2194]
% t(eta(A),t(quotient(B,difference(eta(A),C)),eta(A))) <->
% t(quotient(t(eta(A),B),quotient(C,eta(A))),eta(A))
% Current number of equations to process: 161
% Current number of ordered equations: 1
% Current number of rules: 1400
% New rule produced :
% [2195]
% t(quotient(t(eta(A),B),quotient(C,eta(A))),eta(A)) <->
% t(eta(A),t(quotient(B,difference(eta(A),C)),eta(A)))
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 1401
% New rule produced :
% [2196]
% t(eta(A),t(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),eta(A)))
% <->
% t(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),j(j(A)))),
% eta(A))
% Current number of equations to process: 160
% Current number of ordered equations: 1
% Current number of rules: 1402
% New rule produced :
% [2197]
% t(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),j(j(A)))),
% eta(A)) <->
% t(eta(A),t(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),eta(A)))
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 1403
% New rule produced :
% [2198] t(eta(A),eta(quotient(B,eta(A)))) -> eta(t(eta(A),quotient(B,eta(A))))
% Current number of equations to process: 180
% Current number of ordered equations: 1
% Current number of rules: 1404
% New rule produced :
% [2199]
% difference(eta(A),eta(quotient(B,eta(A)))) ->
% quotient(eta(difference(eta(A),B)),eta(A))
% Current number of equations to process: 180
% Current number of ordered equations: 0
% Current number of rules: 1405
% New rule produced :
% [2200]
% t(eta(A),t(B,eta(difference(eta(A),C)))) <->
% t(t(eta(A),B),eta(quotient(C,eta(A))))
% Current number of equations to process: 178
% Current number of ordered equations: 2
% Current number of rules: 1406
% New rule produced :
% [2201]
% t(t(eta(A),B),eta(quotient(C,eta(A)))) <->
% t(eta(A),t(B,eta(difference(eta(A),C))))
% Current number of equations to process: 178
% Current number of ordered equations: 1
% Current number of rules: 1407
% New rule produced :
% [2202]
% t(eta(B),t(eta(difference(eta(B),A)),C)) ->
% t(eta(quotient(A,eta(B))),t(eta(B),C))
% Current number of equations to process: 178
% Current number of ordered equations: 0
% Current number of rules: 1408
% New rule produced :
% [2203]
% t(eta(B),difference(eta(difference(eta(B),A)),C)) ->
% difference(eta(quotient(A,eta(B))),t(eta(B),C))
% Current number of equations to process: 177
% Current number of ordered equations: 0
% Current number of rules: 1409
% New rule produced :
% [2204]
% t(eta(A),quotient(B,eta(difference(eta(A),C)))) <->
% quotient(t(eta(A),B),eta(quotient(C,eta(A))))
% Current number of equations to process: 175
% Current number of ordered equations: 2
% Current number of rules: 1410
% New rule produced :
% [2205]
% t(eta(B),quotient(eta(difference(eta(B),A)),C)) ->
% quotient(eta(quotient(A,eta(B))),t(eta(B),C))
% Rule
% [1322]
% difference(quotient(B,eta(A)),t(eta(A),quotient(eta(difference(eta(A),B)),
% j(eta(difference(eta(A),B)))))) ->
% j(j(j(quotient(B,eta(A))))) collapsed.
% Current number of equations to process: 175
% Current number of ordered equations: 1
% Current number of rules: 1410
% New rule produced :
% [2206]
% quotient(t(eta(A),B),eta(quotient(C,eta(A)))) <->
% t(eta(A),quotient(B,eta(difference(eta(A),C))))
% Current number of equations to process: 175
% Current number of ordered equations: 0
% Current number of rules: 1411
% New rule produced :
% [2207]
% t(eta(A),difference(j(eta(A)),eta(difference(eta(A),B)))) ->
% difference(j(eta(A)),eta(quotient(B,eta(A))))
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 1412
% New rule produced :
% [2208]
% eta(difference(A,quotient(quotient(difference(j(A),B),j(A)),j(j(A))))) <->
% t(eta(A),eta(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B))))))
% Current number of equations to process: 167
% Current number of ordered equations: 1
% Current number of rules: 1413
% New rule produced :
% [2209]
% t(eta(A),eta(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))))) <->
% eta(difference(A,quotient(quotient(difference(j(A),B),j(A)),j(j(A)))))
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 1414
% New rule produced :
% [2210]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% eta(
% quotient(C,
% eta(A))),
% j(
% eta(A))))))))
% -> t(eta(A),difference(B,eta(difference(eta(A),C))))
% Current number of equations to process: 166
% Current number of ordered equations: 0
% Current number of rules: 1415
% New rule produced :
% [2211]
% t(eta(A),eta(quotient(quotient(difference(A,difference(B,difference(j(B),
% quotient(t(B,eta(A)),
% j(B))))),A),
% i(A)))) ->
% eta(quotient(difference(A,quotient(quotient(B,j(A)),j(j(A)))),eta(A)))
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 1416
% New rule produced :
% [2212] t(quotient(eta(A),j(eta(A))),j(eta(A))) -> j(eta(A))
% Rule
% [1974]
% quotient(difference(quotient(eta(A),j(eta(A))),t(quotient(eta(A),j(eta(A))),
% j(eta(A)))),j(eta(A))) ->
% i(quotient(eta(A),j(eta(A)))) collapsed.
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 1416
% New rule produced :
% [2213] t(j(eta(A)),quotient(eta(A),j(eta(A)))) -> quotient(eta(A),j(eta(A)))
% Rule
% [2074]
% i(t(eta(A),t(j(eta(A)),quotient(eta(A),j(eta(A)))))) ->
% i(quotient(eta(A),j(eta(A)))) collapsed.
% Rule
% [2143] quotient(t(j(eta(A)),quotient(eta(A),j(eta(A)))),eta(A)) -> eta(A)
% collapsed.
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 1415
% New rule produced :
% [2214]
% t(eta(A),eta(quotient(eta(A),j(eta(A))))) -> eta(quotient(eta(A),j(eta(A))))
% Current number of equations to process: 168
% Current number of ordered equations: 0
% Current number of rules: 1416
% New rule produced :
% [2215]
% difference(eta(A),j(eta(quotient(B,eta(A))))) ->
% quotient(j(eta(difference(eta(A),B))),eta(A))
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 1417
% New rule produced :
% [2216]
% quotient(eta(quotient(A,eta(B))),quotient(eta(difference(eta(B),A)),eta(B)))
% -> eta(B)
% Current number of equations to process: 166
% Current number of ordered equations: 0
% Current number of rules: 1418
% New rule produced :
% [2217]
% quotient(difference(quotient(eta(A),j(eta(A))),j(eta(A))),j(eta(A))) ->
% i(quotient(eta(A),j(eta(A))))
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 1419
% New rule produced :
% [2218]
% i(difference(A,difference(j(A),quotient(t(A,i(i(i(i(i(A)))))),j(A))))) ->
% quotient(eta(A),j(eta(A)))
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 1420
% New rule produced :
% [2219]
% t(eta(A),difference(j(eta(B)),difference(eta(B),difference(eta(A),difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(
% quotient(
% t(j(
% t(
% eta(A),
% eta(B))),C),
% t(eta(A),
% eta(B))),
% j(eta(A)))))))))
% ->
% t(eta(A),quotient(quotient(difference(eta(B),difference(eta(A),difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(C,
% j(eta(A))))))),
% eta(B)),j(eta(B))))
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 1421
% New rule produced :
% [2220]
% quotient(difference(quotient(A,eta(B)),difference(j(quotient(A,eta(B))),
% quotient(t(quotient(A,eta(B)),B),
% j(quotient(A,eta(B)))))),t(eta(B),
% quotient(
% difference(A,
% difference(
% eta(B),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,A),
% j(B)))))),
% difference(
% eta(B),A))))
% -> difference(j(quotient(A,eta(B))),quotient(eta(B),j(quotient(A,eta(B)))))
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 1422
% New rule produced : [2221] t(i(i(i(i(i(i(A)))))),eta(A)) -> j(eta(A))
% Current number of equations to process: 166
% Current number of ordered equations: 0
% Current number of rules: 1423
% New rule produced :
% [2222] quotient(i(i(i(i(i(A))))),eta(A)) -> i(i(i(i(i(i(i(A)))))))
% Current number of equations to process: 166
% Current number of ordered equations: 0
% Current number of rules: 1424
% New rule produced :
% [2223]
% difference(t(j(eta(A)),i(i(i(i(i(i(A))))))),i(i(i(i(A))))) -> j(eta(A))
% Current number of equations to process: 166
% Current number of ordered equations: 0
% Current number of rules: 1425
% New rule produced : [2224] t(j(eta(A)),i(i(i(i(i(i(A))))))) -> i(i(A))
% Rule
% [2223]
% difference(t(j(eta(A)),i(i(i(i(i(i(A))))))),i(i(i(i(A))))) -> j(eta(A))
% collapsed.
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 1425
% New rule produced :
% [2225]
% difference(eta(A),difference(j(eta(A)),quotient(i(i(i(i(i(i(i(i(A)))))))),
% j(eta(A))))) ->
% difference(j(eta(A)),quotient(i(i(i(i(i(i(A)))))),j(eta(A))))
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 1426
% New rule produced :
% [2226] difference(eta(A),i(i(i(i(i(i(A))))))) -> i(i(i(i(A))))
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 1427
% New rule produced : [2227] quotient(t(i(A),j(A)),A) -> quotient(i(A),j(j(A)))
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 1428
% New rule produced :
% [2228] quotient(difference(i(A),j(j(A))),i(i(A))) -> t(i(i(A)),A)
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 1429
% New rule produced :
% [2229]
% quotient(difference(A,j(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: 164
% Current number of ordered equations: 0
% Current number of rules: 1430
% New rule produced :
% [2230]
% difference(t(t(t(i(A),j(A)),i(A)),t(i(A),j(A))),difference(A,j(j(j(A))))) ->
% t(t(i(A),j(A)),i(A))
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 1431
% New rule produced : [2231] t(i(i(i(A))),eta(A)) -> j(eta(A))
% Rule [554] difference(t(i(i(i(A))),eta(A)),i(A)) -> i(i(i(A))) collapsed.
% Rule
% [762]
% quotient(i(A),t(i(i(i(A))),eta(A))) -> t(t(i(i(i(A))),eta(A)),i(i(i(A))))
% collapsed.
% Rule
% [887]
% difference(t(t(i(i(i(A))),eta(A)),i(i(i(A)))),i(A)) -> t(i(i(i(A))),eta(A))
% collapsed.
% Current number of equations to process: 166
% Current number of ordered equations: 0
% Current number of rules: 1429
% New rule produced :
% [2232]
% 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: 174
% Current number of ordered equations: 1
% Current number of rules: 1430
% New rule produced :
% [2233]
% 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: 174
% Current number of ordered equations: 0
% Current number of rules: 1431
% New rule produced :
% [2234]
% difference(quotient(eta(A),j(eta(A))),t(eta(A),B)) ->
% t(eta(A),difference(quotient(eta(A),j(eta(A))),B))
% Rule
% [1420]
% difference(difference(quotient(eta(A),j(eta(A))),t(eta(A),difference(
% j(eta(A)),quotient(B,
% j(
% eta(A)))))),
% difference(j(difference(quotient(eta(A),j(eta(A))),t(eta(A),difference(
% j(eta(A)),
% quotient(B,
% j(eta(A))))))),
% quotient(t(difference(quotient(eta(A),j(eta(A))),t(eta(A),difference(
% j(eta(A)),quotient(B,
% j(
% eta(A)))))),
% difference(quotient(eta(A),j(eta(A))),t(eta(A),difference(j(eta(A)),
% quotient(C,j(eta(A))))))),
% j(difference(quotient(eta(A),j(eta(A))),t(eta(A),difference(j(eta(A)),
% quotient(B,j(eta(A))))))))))
% ->
% difference(quotient(eta(A),j(eta(A))),t(eta(A),difference(j(eta(A)),quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))),
% j(
% eta(A))))))
% collapsed.
% Rule
% [1500]
% difference(difference(quotient(eta(A),j(eta(A))),t(eta(A),t(eta(A),difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% quotient(
% eta(A),
% j(
% eta(A)))),
% j(B))))))),
% difference(j(difference(quotient(eta(A),j(eta(A))),t(eta(A),t(eta(A),
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% quotient(
% eta(A),
% j(eta(A)))),
% j(B)))))))),
% quotient(t(difference(quotient(eta(A),j(eta(A))),t(eta(A),t(eta(A),difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% quotient(
% eta(A),
% j(
% eta(A)))),
% j(B))))))),
% difference(quotient(eta(A),j(eta(A))),t(eta(A),difference(j(eta(A)),
% quotient(C,j(eta(A))))))),
% j(difference(quotient(eta(A),j(eta(A))),t(eta(A),t(eta(A),difference(B,
% difference(
% j(B),quotient(
% t(B,quotient(
% eta(A),
% j(
% eta(A)))),
% j(B)))))))))))
% ->
% difference(quotient(eta(A),j(eta(A))),t(eta(A),difference(j(eta(A)),quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))),
% j(
% eta(A))))))
% collapsed.
% Rule
% [1501]
% difference(difference(quotient(eta(A),j(eta(A))),t(eta(A),difference(
% j(eta(A)),quotient(B,
% j(
% eta(A)))))),
% difference(j(difference(quotient(eta(A),j(eta(A))),t(eta(A),difference(
% j(eta(A)),
% quotient(B,
% j(eta(A))))))),
% quotient(t(difference(quotient(eta(A),j(eta(A))),t(eta(A),difference(
% j(eta(A)),quotient(B,
% j(
% eta(A)))))),
% difference(quotient(eta(A),j(eta(A))),t(eta(A),t(eta(A),difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% quotient(
% eta(A),
% j(eta(A)))),
% j(C)))))))),
% j(difference(quotient(eta(A),j(eta(A))),t(eta(A),difference(j(eta(A)),
% quotient(B,j(eta(A))))))))))
% ->
% difference(quotient(eta(A),j(eta(A))),t(eta(A),difference(j(eta(A)),quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))),
% j(
% eta(A))))))
% collapsed.
% Current number of equations to process: 176
% Current number of ordered equations: 0
% Current number of rules: 1429
% New rule produced :
% [2235]
% 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: 174
% Current number of ordered equations: 1
% Current number of rules: 1430
% New rule produced :
% [2236]
% quotient(quotient(eta(A),j(eta(A))),t(eta(A),B)) ->
% t(eta(A),quotient(quotient(eta(A),j(eta(A))),B))
% Current number of equations to process: 174
% Current number of ordered equations: 0
% Current number of rules: 1431
% New rule produced :
% [2237]
% 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: 173
% Current number of ordered equations: 0
% Current number of rules: 1432
% New rule produced :
% [2238]
% 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: 172
% Current number of ordered equations: 0
% Current number of rules: 1433
% New rule produced :
% [2239]
% 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: 171
% Current number of ordered equations: 0
% Current number of rules: 1434
% New rule produced :
% [2240]
% t(eta(A),difference(quotient(eta(A),j(eta(A))),difference(eta(A),B))) ->
% difference(quotient(eta(A),j(eta(A))),quotient(B,eta(A)))
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 1435
% New rule produced :
% [2241] quotient(difference(i(i(A)),j(A)),i(A)) -> i(i(i(A)))
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 1436
% New rule produced :
% [2242]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% quotient(
% eta(A),
% j(
% eta(A))),
% j(
% eta(A))))))))
% -> t(eta(A),difference(B,quotient(eta(A),j(eta(A)))))
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 1437
% New rule produced :
% [2243]
% quotient(eta(A),j(j(t(eta(A),B)))) -> t(eta(A),quotient(eta(A),j(j(B))))
% Current number of equations to process: 179
% Current number of ordered equations: 0
% Current number of rules: 1438
% New rule produced :
% [2244]
% difference(eta(A),j(quotient(eta(A),j(eta(A))))) ->
% quotient(j(quotient(eta(A),j(eta(A)))),eta(A))
% Current number of equations to process: 179
% Current number of ordered equations: 0
% Current number of rules: 1439
% New rule produced :
% [2245]
% difference(eta(A),i(quotient(eta(A),j(eta(A))))) ->
% quotient(i(quotient(eta(A),j(eta(A)))),eta(A))
% Current number of equations to process: 178
% Current number of ordered equations: 0
% Current number of rules: 1440
% New rule produced :
% [2246]
% t(eta(A),quotient(eta(A),j(difference(eta(A),B)))) ->
% quotient(eta(A),j(quotient(B,eta(A))))
% Current number of equations to process: 177
% Current number of ordered equations: 0
% Current number of rules: 1441
% New rule produced :
% [2247]
% t(eta(A),t(quotient(eta(A),j(eta(A))),eta(A))) ->
% t(quotient(eta(A),j(eta(A))),eta(A))
% Current number of equations to process: 176
% Current number of ordered equations: 0
% Current number of rules: 1442
% New rule produced :
% [2248]
% t(eta(A),quotient(eta(A),j(quotient(B,difference(eta(A),C))))) <->
% quotient(eta(A),j(quotient(t(eta(A),B),quotient(C,eta(A)))))
% Current number of equations to process: 175
% Current number of ordered equations: 1
% Current number of rules: 1443
% New rule produced :
% [2249]
% quotient(eta(A),j(quotient(t(eta(A),B),quotient(C,eta(A))))) <->
% t(eta(A),quotient(eta(A),j(quotient(B,difference(eta(A),C)))))
% Current number of equations to process: 175
% Current number of ordered equations: 0
% Current number of rules: 1444
% New rule produced :
% [2250]
% t(eta(A),quotient(eta(A),j(quotient(difference(eta(A),B),C)))) ->
% quotient(eta(A),j(quotient(quotient(B,eta(A)),t(eta(A),C))))
% Current number of equations to process: 174
% Current number of ordered equations: 0
% Current number of rules: 1445
% New rule produced :
% [2251]
% t(eta(A),quotient(eta(A),j(difference(difference(eta(A),B),C)))) ->
% quotient(eta(A),j(difference(quotient(B,eta(A)),t(eta(A),C))))
% Current number of equations to process: 173
% Current number of ordered equations: 0
% Current number of rules: 1446
% New rule produced :
% [2252]
% t(eta(A),difference(A,quotient(quotient(difference(j(A),B),j(A)),j(j(A)))))
% <-> t(eta(A),difference(B,difference(j(B),quotient(eta(A),j(B)))))
% Current number of equations to process: 172
% Current number of ordered equations: 1
% Current number of rules: 1447
% New rule produced :
% [2253]
% t(eta(A),difference(B,difference(j(B),quotient(eta(A),j(B))))) <->
% t(eta(A),difference(A,quotient(quotient(difference(j(A),B),j(A)),j(j(A)))))
% Current number of equations to process: 172
% Current number of ordered equations: 0
% Current number of rules: 1448
% New rule produced :
% [2254]
% t(eta(A),quotient(eta(A),j(quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B)))))) <->
% quotient(eta(A),j(difference(A,quotient(quotient(difference(j(A),j(j(B))),
% j(A)),j(j(A))))))
% Current number of equations to process: 171
% Current number of ordered equations: 1
% Current number of rules: 1449
% New rule produced :
% [2255]
% quotient(eta(A),j(difference(A,quotient(quotient(difference(j(A),j(j(B))),
% j(A)),j(j(A)))))) <->
% t(eta(A),quotient(eta(A),j(quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))))))
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 1450
% New rule produced :
% [2256]
% t(eta(A),difference(i(B),difference(B,difference(eta(A),difference(eta(A),
% difference(j(eta(A)),
% quotient(quotient(
% t(eta(A),
% quotient(
% eta(A),
% j(B))),
% j(j(
% t(
% eta(A),B)))),
% j(eta(A))))))))) ->
% eta(A)
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 1451
% New rule produced :
% [2257]
% difference(j(j(t(eta(A),B))),quotient(t(eta(A),quotient(eta(A),j(B))),
% j(j(t(eta(A),B))))) ->
% difference(j(t(eta(A),B)),difference(j(j(t(eta(A),B))),quotient(t(eta(A),
% t(j(B),
% eta(A))),
% j(j(t(eta(A),B))))))
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 1452
% New rule produced :
% [2258]
% t(eta(A),quotient(difference(B,difference(eta(A),difference(eta(A),difference(
% j(
% eta(A)),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(
% eta(A),
% j(B))),
% j(
% j(
% t(
% eta(A),B)))),
% j(
% eta(A))))))),
% eta(A))) -> i(t(eta(A),B))
% Current number of equations to process: 168
% Current number of ordered equations: 0
% Current number of rules: 1453
% New rule produced :
% [2259]
% t(eta(A),quotient(difference(B,difference(eta(A),difference(eta(A),difference(
% j(
% eta(A)),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(
% eta(A),
% j(B))),
% j(
% j(
% t(
% eta(A),B)))),
% j(
% eta(A))))))),
% i(B))) -> t(eta(A),t(i(B),eta(A)))
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 1454
% New rule produced :
% [2260]
% quotient(eta(A),i(i(t(eta(A),B)))) -> t(eta(A),quotient(eta(A),i(i(B))))
% Current number of equations to process: 175
% Current number of ordered equations: 0
% Current number of rules: 1455
% New rule produced :
% [2261]
% 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: 174
% Current number of ordered equations: 0
% Current number of rules: 1456
% New rule produced :
% [2262]
% t(eta(A),quotient(eta(A),j(eta(difference(eta(A),B))))) ->
% quotient(eta(A),j(eta(quotient(B,eta(A)))))
% Current number of equations to process: 173
% Current number of ordered equations: 0
% Current number of rules: 1457
% New rule produced :
% [2263]
% 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: 172
% Current number of ordered equations: 0
% Current number of rules: 1458
% New rule produced :
% [2264]
% 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: 171
% Current number of ordered equations: 1
% Current number of rules: 1459
% New rule produced :
% [2265]
% 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: 171
% Current number of ordered equations: 0
% Current number of rules: 1460
% New rule produced :
% [2266]
% 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: 170
% Current number of ordered equations: 0
% Current number of rules: 1461
% New rule produced :
% [2267]
% 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: 169
% Current number of ordered equations: 0
% Current number of rules: 1462
% New rule produced :
% [2268]
% quotient(t(eta(A),quotient(eta(A),j(B))),j(j(t(eta(A),B)))) ->
% t(eta(A),quotient(quotient(eta(A),j(B)),j(j(B))))
% Rule
% [2256]
% t(eta(A),difference(i(B),difference(B,difference(eta(A),difference(eta(A),
% difference(j(eta(A)),
% quotient(quotient(
% t(eta(A),
% quotient(
% eta(A),
% j(B))),
% j(j(
% t(
% eta(A),B)))),
% j(eta(A))))))))) ->
% eta(A) collapsed.
% Rule
% [2257]
% difference(j(j(t(eta(A),B))),quotient(t(eta(A),quotient(eta(A),j(B))),
% j(j(t(eta(A),B))))) ->
% difference(j(t(eta(A),B)),difference(j(j(t(eta(A),B))),quotient(t(eta(A),
% t(j(B),
% eta(A))),
% j(j(t(eta(A),B))))))
% collapsed.
% Rule
% [2258]
% t(eta(A),quotient(difference(B,difference(eta(A),difference(eta(A),difference(
% j(
% eta(A)),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(
% eta(A),
% j(B))),
% j(
% j(
% t(
% eta(A),B)))),
% j(
% eta(A))))))),
% eta(A))) -> i(t(eta(A),B)) collapsed.
% Rule
% [2259]
% t(eta(A),quotient(difference(B,difference(eta(A),difference(eta(A),difference(
% j(
% eta(A)),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(
% eta(A),
% j(B))),
% j(
% j(
% t(
% eta(A),B)))),
% j(
% eta(A))))))),
% i(B))) -> t(eta(A),t(i(B),eta(A))) collapsed.
% Current number of equations to process: 172
% Current number of ordered equations: 0
% Current number of rules: 1459
% New rule produced :
% [2269]
% t(eta(A),quotient(eta(A),i(quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B)))))) ->
% quotient(eta(A),quotient(j(B),eta(A)))
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 1460
% New rule produced :
% [2270]
% t(eta(A),difference(i(B),difference(B,difference(eta(A),difference(A,
% quotient(quotient(
% difference(
% j(A),
% quotient(
% quotient(
% eta(A),
% j(B)),
% j(j(B)))),
% j(A)),
% j(j(A)))))))) ->
% eta(A)
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 1461
% New rule produced :
% [2271]
% t(eta(A),quotient(difference(B,difference(eta(A),difference(A,quotient(
% quotient(
% difference(
% j(A),quotient(
% quotient(
% eta(A),
% j(B)),
% j(
% j(B)))),
% j(A)),j(j(A)))))),
% eta(A))) -> i(t(eta(A),B))
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 1462
% New rule produced :
% [2272]
% difference(j(j(t(eta(A),B))),t(eta(A),quotient(quotient(eta(A),j(B)),j(j(B)))))
% ->
% difference(j(t(eta(A),B)),difference(j(j(t(eta(A),B))),quotient(t(eta(A),
% t(j(B),
% eta(A))),
% j(j(t(eta(A),B))))))
% Current number of equations to process: 168
% Current number of ordered equations: 0
% Current number of rules: 1463
% New rule produced :
% [2273]
% t(eta(A),quotient(difference(B,difference(eta(A),difference(A,quotient(
% quotient(
% difference(
% j(A),quotient(
% quotient(
% eta(A),
% j(B)),
% j(
% j(B)))),
% j(A)),j(j(A)))))),
% i(B))) -> t(eta(A),t(i(B),eta(A)))
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 1464
% New rule produced :
% [2274]
% quotient(j(j(t(eta(A),B))),eta(A)) -> t(eta(A),quotient(j(j(B)),eta(A)))
% Current number of equations to process: 175
% Current number of ordered equations: 0
% Current number of rules: 1465
% New rule produced :
% [2275]
% t(eta(B),quotient(j(difference(eta(B),A)),eta(B))) ->
% quotient(j(quotient(A,eta(B))),eta(B))
% Current number of equations to process: 174
% Current number of ordered equations: 0
% Current number of rules: 1466
% New rule produced :
% [2276]
% 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: 173
% Current number of ordered equations: 0
% Current number of rules: 1467
% New rule produced :
% [2277]
% t(eta(A),quotient(j(quotient(B,difference(eta(A),C))),eta(A))) <->
% quotient(j(quotient(t(eta(A),B),quotient(C,eta(A)))),eta(A))
% Current number of equations to process: 172
% Current number of ordered equations: 1
% Current number of rules: 1468
% New rule produced :
% [2278]
% quotient(j(quotient(t(eta(A),B),quotient(C,eta(A)))),eta(A)) <->
% t(eta(A),quotient(j(quotient(B,difference(eta(A),C))),eta(A)))
% Current number of equations to process: 172
% Current number of ordered equations: 0
% Current number of rules: 1469
% New rule produced :
% [2279]
% t(eta(B),quotient(j(quotient(difference(eta(B),A),C)),eta(B))) ->
% quotient(j(quotient(quotient(A,eta(B)),t(eta(B),C))),eta(B))
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 1470
% New rule produced :
% [2280]
% t(eta(A),difference(quotient(j(B),eta(A)),difference(eta(A),difference(A,
% quotient(
% quotient(
% difference(
% j(A),j(B)),
% j(A)),j(j(A)))))))
% -> eta(A)
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 1471
% New rule produced :
% [2281]
% t(eta(A),quotient(j(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B)))),
% eta(A))) <->
% quotient(j(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A))))),eta(A))
% Current number of equations to process: 169
% Current number of ordered equations: 1
% Current number of rules: 1472
% New rule produced :
% [2282]
% quotient(j(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A))))),eta(A)) <->
% t(eta(A),quotient(j(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B)))),
% eta(A)))
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 1473
% New rule produced :
% [2283]
% t(eta(A),difference(t(quotient(j(B),eta(A)),eta(A)),difference(eta(A),
% difference(A,quotient(
% quotient(
% difference(
% j(A),
% j(B)),
% j(A)),
% j(j(A)))))))
% -> t(eta(A),quotient(j(B),eta(A)))
% Current number of equations to process: 168
% Current number of ordered equations: 0
% Current number of rules: 1474
% New rule produced :
% [2284]
% t(eta(A),difference(t(t(quotient(j(B),eta(A)),eta(A)),quotient(j(B),eta(A))),
% difference(eta(A),difference(A,quotient(quotient(difference(
% j(A),j(B)),
% j(A)),j(j(A))))))) ->
% t(eta(A),t(quotient(j(B),eta(A)),eta(A)))
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 1475
% New rule produced :
% [2285]
% quotient(i(i(t(eta(A),B))),eta(A)) -> t(eta(A),quotient(i(i(B)),eta(A)))
% Current number of equations to process: 176
% Current number of ordered equations: 0
% Current number of rules: 1476
% New rule produced :
% [2286]
% t(eta(B),quotient(i(difference(eta(B),A)),eta(B))) ->
% quotient(i(quotient(A,eta(B))),eta(B))
% Current number of equations to process: 175
% Current number of ordered equations: 0
% Current number of rules: 1477
% New rule produced :
% [2287]
% t(eta(B),quotient(j(eta(difference(eta(B),A))),eta(B))) ->
% quotient(j(eta(quotient(A,eta(B)))),eta(B))
% Current number of equations to process: 174
% Current number of ordered equations: 0
% Current number of rules: 1478
% New rule produced :
% [2288]
% 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: 173
% Current number of ordered equations: 0
% Current number of rules: 1479
% New rule produced :
% [2289]
% t(eta(A),quotient(i(quotient(B,difference(eta(A),C))),eta(A))) <->
% quotient(i(quotient(t(eta(A),B),quotient(C,eta(A)))),eta(A))
% Current number of equations to process: 172
% Current number of ordered equations: 1
% Current number of rules: 1480
% New rule produced :
% [2290]
% quotient(i(quotient(t(eta(A),B),quotient(C,eta(A)))),eta(A)) <->
% t(eta(A),quotient(i(quotient(B,difference(eta(A),C))),eta(A)))
% Current number of equations to process: 172
% Current number of ordered equations: 0
% Current number of rules: 1481
% New rule produced :
% [2291]
% t(eta(B),quotient(i(quotient(difference(eta(B),A),C)),eta(B))) ->
% quotient(i(quotient(quotient(A,eta(B)),t(eta(B),C))),eta(B))
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 1482
% New rule produced :
% [2292]
% t(eta(B),quotient(i(quotient(quotient(difference(j(A),eta(B)),j(A)),j(j(A)))),
% eta(B))) -> quotient(quotient(j(A),eta(B)),eta(B))
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 1483
% New rule produced :
% [2293]
% t(eta(A),difference(quotient(i(B),eta(A)),difference(eta(A),difference(A,
% quotient(
% quotient(
% difference(
% j(A),i(B)),
% j(A)),j(j(A)))))))
% -> eta(A)
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 1484
% New rule produced :
% [2294]
% t(eta(A),difference(t(quotient(i(B),eta(A)),eta(A)),difference(eta(A),
% difference(A,quotient(
% quotient(
% difference(
% j(A),
% i(B)),
% j(A)),
% j(j(A)))))))
% -> t(eta(A),quotient(i(B),eta(A)))
% Current number of equations to process: 168
% Current number of ordered equations: 0
% Current number of rules: 1485
% New rule produced :
% [2295]
% t(eta(A),difference(t(t(quotient(i(B),eta(A)),eta(A)),quotient(i(B),eta(A))),
% difference(eta(A),difference(A,quotient(quotient(difference(
% j(A),i(B)),
% j(A)),j(j(A))))))) ->
% t(eta(A),t(quotient(i(B),eta(A)),eta(A)))
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 1486
% New rule produced :
% [2296]
% difference(j(j(t(eta(A),B))),eta(A)) -> t(eta(A),difference(j(j(B)),eta(A)))
% Current number of equations to process: 178
% Current number of ordered equations: 0
% Current number of rules: 1487
% New rule produced :
% [2297]
% t(eta(B),difference(j(difference(eta(B),A)),eta(B))) ->
% difference(j(quotient(A,eta(B))),eta(B))
% Current number of equations to process: 177
% Current number of ordered equations: 0
% Current number of rules: 1488
% New rule produced :
% [2298]
% 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: 176
% Current number of ordered equations: 0
% Current number of rules: 1489
% New rule produced :
% [2299]
% t(eta(A),difference(j(quotient(B,difference(eta(A),C))),eta(A))) <->
% difference(j(quotient(t(eta(A),B),quotient(C,eta(A)))),eta(A))
% Current number of equations to process: 175
% Current number of ordered equations: 1
% Current number of rules: 1490
% New rule produced :
% [2300]
% difference(j(quotient(t(eta(A),B),quotient(C,eta(A)))),eta(A)) <->
% t(eta(A),difference(j(quotient(B,difference(eta(A),C))),eta(A)))
% Current number of equations to process: 175
% Current number of ordered equations: 0
% Current number of rules: 1491
% New rule produced :
% [2301]
% t(eta(B),difference(j(quotient(difference(eta(B),A),C)),eta(B))) ->
% difference(j(quotient(quotient(A,eta(B)),t(eta(B),C))),eta(B))
% Current number of equations to process: 174
% Current number of ordered equations: 0
% Current number of rules: 1492
% New rule produced :
% [2302]
% t(eta(B),difference(j(difference(difference(eta(B),A),C)),eta(B))) ->
% difference(j(difference(quotient(A,eta(B)),t(eta(B),C))),eta(B))
% Current number of equations to process: 173
% Current number of ordered equations: 0
% Current number of rules: 1493
% New rule produced :
% [2303]
% i(difference(A,difference(j(A),quotient(t(A,j(t(eta(A),B))),j(A))))) <->
% t(eta(A),quotient(difference(j(B),eta(A)),j(j(j(j(A))))))
% Current number of equations to process: 172
% Current number of ordered equations: 1
% Current number of rules: 1494
% New rule produced :
% [2304]
% t(eta(A),quotient(difference(j(B),eta(A)),j(j(j(j(A)))))) <->
% i(difference(A,difference(j(A),quotient(t(A,j(t(eta(A),B))),j(A)))))
% Current number of equations to process: 172
% Current number of ordered equations: 0
% Current number of rules: 1495
% New rule produced :
% [2305]
% quotient(quotient(t(eta(A),quotient(difference(j(B),eta(A)),j(B))),j(
% j(
% t(
% eta(A),B)))),
% eta(A)) -> j(j(t(eta(A),B)))
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 1496
% New rule produced :
% [2306]
% t(eta(A),difference(j(quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B)))),eta(A))) <->
% difference(j(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A))))),eta(A))
% Current number of equations to process: 170
% Current number of ordered equations: 1
% Current number of rules: 1497
% New rule produced :
% [2307]
% difference(j(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A))))),eta(A)) <->
% t(eta(A),difference(j(quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B)))),eta(A)))
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 1498
% New rule produced :
% [2308]
% quotient(quotient(t(eta(A),quotient(difference(j(B),eta(A)),j(B))),j(
% j(
% t(
% eta(A),B)))),
% j(j(t(eta(A),B)))) -> t(j(j(t(eta(A),B))),eta(A))
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 1499
% New rule produced :
% [2309]
% t(eta(A),quotient(t(eta(A),quotient(difference(j(B),eta(A)),j(B))),j(
% j(
% t(
% eta(A),B)))))
% <->
% difference(A,quotient(quotient(difference(j(A),j(j(t(eta(A),B)))),j(A)),
% j(j(A))))
% Current number of equations to process: 168
% Current number of ordered equations: 1
% Current number of rules: 1500
% New rule produced :
% [2310]
% difference(A,quotient(quotient(difference(j(A),j(j(t(eta(A),B)))),j(A)),
% j(j(A)))) <->
% t(eta(A),quotient(t(eta(A),quotient(difference(j(B),eta(A)),j(B))),j(
% j(
% t(
% eta(A),B)))))
% Current number of equations to process: 168
% Current number of ordered equations: 0
% Current number of rules: 1501
% New rule produced :
% [2311]
% quotient(difference(j(t(eta(A),difference(j(B),eta(A)))),quotient(j(t(
% eta(A),B)),
% j(t(eta(A),difference(
% j(B),
% eta(A)))))),
% eta(A)) -> t(eta(A),difference(j(B),eta(A)))
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 1502
% New rule produced :
% [2312]
% difference(i(i(t(eta(A),B))),eta(A)) -> t(eta(A),difference(i(i(B)),eta(A)))
% Current number of equations to process: 177
% Current number of ordered equations: 0
% Current number of rules: 1503
% New rule produced :
% [2313]
% t(eta(B),difference(i(difference(eta(B),A)),eta(B))) ->
% difference(i(quotient(A,eta(B))),eta(B))
% Current number of equations to process: 176
% Current number of ordered equations: 0
% Current number of rules: 1504
% New rule produced :
% [2314]
% t(eta(A),difference(j(quotient(eta(A),j(eta(A)))),eta(A))) ->
% difference(j(quotient(eta(A),j(eta(A)))),eta(A))
% Current number of equations to process: 175
% Current number of ordered equations: 0
% Current number of rules: 1505
% New rule produced :
% [2315]
% t(eta(A),difference(i(quotient(B,difference(eta(A),C))),eta(A))) <->
% difference(i(quotient(t(eta(A),B),quotient(C,eta(A)))),eta(A))
% Current number of equations to process: 174
% Current number of ordered equations: 1
% Current number of rules: 1506
% New rule produced :
% [2316]
% difference(i(quotient(t(eta(A),B),quotient(C,eta(A)))),eta(A)) <->
% t(eta(A),difference(i(quotient(B,difference(eta(A),C))),eta(A)))
% Current number of equations to process: 174
% Current number of ordered equations: 0
% Current number of rules: 1507
% New rule produced :
% [2317]
% t(eta(B),difference(i(quotient(difference(eta(B),A),C)),eta(B))) ->
% difference(i(quotient(quotient(A,eta(B)),t(eta(B),C))),eta(B))
% Current number of equations to process: 173
% Current number of ordered equations: 0
% Current number of rules: 1508
% New rule produced :
% [2318]
% t(eta(B),difference(i(difference(difference(eta(B),A),C)),eta(B))) ->
% difference(i(difference(quotient(A,eta(B)),t(eta(B),C))),eta(B))
% Current number of equations to process: 172
% Current number of ordered equations: 0
% Current number of rules: 1509
% New rule produced :
% [2319]
% t(eta(B),difference(i(quotient(quotient(difference(j(A),eta(B)),j(A)),
% j(j(A)))),eta(B))) ->
% difference(quotient(j(A),eta(B)),eta(B))
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 1510
% New rule produced :
% [2320]
% i(difference(A,difference(j(A),quotient(t(A,i(t(eta(A),B))),j(A))))) <->
% t(eta(A),quotient(difference(i(B),eta(A)),j(j(j(j(A))))))
% Current number of equations to process: 170
% Current number of ordered equations: 1
% Current number of rules: 1511
% New rule produced :
% [2321]
% t(eta(A),quotient(difference(i(B),eta(A)),j(j(j(j(A)))))) <->
% i(difference(A,difference(j(A),quotient(t(A,i(t(eta(A),B))),j(A)))))
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 1512
% New rule produced :
% [2322]
% quotient(difference(j(t(eta(A),difference(i(B),eta(A)))),quotient(i(t(
% eta(A),B)),
% j(t(eta(A),difference(
% i(B),
% eta(A)))))),
% eta(A)) -> t(eta(A),difference(i(B),eta(A)))
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 1513
% New rule produced :
% [2323]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% quotient(
% t(
% eta(A),
% quotient(
% difference(
% i(B),
% eta(A)),
% j(B))),
% j(
% j(
% t(
% eta(A),B)))),
% j(
% eta(A))))))))
% -> eta(A)
% Current number of equations to process: 168
% Current number of ordered equations: 0
% Current number of rules: 1514
% New rule produced :
% [2324]
% t(eta(quotient(A,eta(B))),t(eta(B),quotient(t(eta(B),quotient(quotient(
% eta(B),
% eta(difference(
% eta(B),A))),
% j(eta(difference(
% eta(B),A))))),
% j(eta(difference(eta(B),A)))))) ->
% t(eta(quotient(A,eta(B))),quotient(t(eta(B),quotient(quotient(eta(B),
% eta(quotient(A,eta(B)))),
% j(eta(quotient(A,eta(B)))))),
% j(eta(quotient(A,eta(B))))))
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 1515
% New rule produced :
% [2325] difference(t(i(A),j(j(A))),quotient(eta(A),j(eta(A)))) -> i(A)
% Current number of equations to process: 173
% Current number of ordered equations: 0
% Current number of rules: 1516
% New rule produced :
% [2326]
% quotient(quotient(eta(A),j(eta(A))),t(i(A),j(j(A)))) ->
% t(t(i(A),j(j(A))),i(A))
% Current number of equations to process: 172
% Current number of ordered equations: 0
% Current number of rules: 1517
% New rule produced :
% [2327]
% quotient(difference(j(A),quotient(i(A),j(j(j(A))))),quotient(eta(A),j(eta(A))))
% -> A
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 1518
% New rule produced :
% [2328]
% t(eta(A),difference(i(quotient(eta(A),j(eta(A)))),eta(A))) ->
% difference(i(quotient(eta(A),j(eta(A)))),eta(A))
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 1519
% New rule produced :
% [2329]
% difference(t(t(i(A),j(j(A))),i(A)),quotient(eta(A),j(eta(A)))) ->
% t(i(A),j(j(A)))
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 1520
% New rule produced :
% [2330]
% difference(j(j(A)),difference(j(j(j(A))),quotient(i(quotient(eta(A),j(eta(A)))),
% j(j(j(A)))))) ->
% difference(j(j(j(A))),quotient(i(A),j(j(j(A)))))
% Current number of equations to process: 168
% Current number of ordered equations: 0
% Current number of rules: 1521
% New rule produced : [2331] t(i(i(i(i(A)))),j(eta(A))) -> eta(A)
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 1522
% New rule produced :
% [2332] t(i(t(eta(A),B)),j(eta(A))) -> t(eta(A),t(i(B),j(eta(A))))
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 1523
% New rule produced :
% [2333]
% t(eta(A),t(quotient(B,difference(eta(A),C)),j(eta(A)))) <->
% t(quotient(t(eta(A),B),quotient(C,eta(A))),j(eta(A)))
% Current number of equations to process: 169
% Current number of ordered equations: 1
% Current number of rules: 1524
% New rule produced :
% [2334]
% t(quotient(t(eta(A),B),quotient(C,eta(A))),j(eta(A))) <->
% t(eta(A),t(quotient(B,difference(eta(A),C)),j(eta(A))))
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 1525
% New rule produced :
% [2335]
% t(eta(A),t(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),j(eta(A))))
% <->
% t(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),j(j(A)))),
% j(eta(A)))
% Current number of equations to process: 168
% Current number of ordered equations: 1
% Current number of rules: 1526
% New rule produced :
% [2336]
% t(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),j(j(A)))),
% j(eta(A))) <->
% t(eta(A),t(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),j(eta(A))))
% Current number of equations to process: 168
% Current number of ordered equations: 0
% Current number of rules: 1527
% New rule produced :
% [2337]
% t(eta(A),t(j(eta(A)),quotient(B,difference(eta(A),C)))) <->
% t(j(eta(A)),quotient(t(eta(A),B),quotient(C,eta(A))))
% Current number of equations to process: 174
% Current number of ordered equations: 1
% Current number of rules: 1528
% New rule produced :
% [2338]
% t(j(eta(A)),quotient(t(eta(A),B),quotient(C,eta(A)))) <->
% t(eta(A),t(j(eta(A)),quotient(B,difference(eta(A),C))))
% Current number of equations to process: 174
% Current number of ordered equations: 0
% Current number of rules: 1529
% New rule produced :
% [2339]
% t(eta(A),t(j(eta(A)),quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B)))))
% <->
% t(j(eta(A)),difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A)))))
% Current number of equations to process: 173
% Current number of ordered equations: 1
% Current number of rules: 1530
% New rule produced :
% [2340]
% t(j(eta(A)),difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A))))) <->
% t(eta(A),t(j(eta(A)),quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B)))))
% Current number of equations to process: 173
% Current number of ordered equations: 0
% Current number of rules: 1531
% New rule produced : [2341] t(eta(A),t(j(j(A)),i(A))) -> j(A)
% Current number of equations to process: 178
% Current number of ordered equations: 0
% Current number of rules: 1532
% New rule produced :
% [2342] quotient(j(t(eta(A),B)),i(i(A))) -> t(eta(A),quotient(j(B),j(j(A))))
% Current number of equations to process: 181
% Current number of ordered equations: 0
% Current number of rules: 1533
% New rule produced :
% [2343] quotient(i(t(eta(A),B)),i(i(A))) -> t(eta(A),quotient(i(B),j(j(A))))
% Current number of equations to process: 180
% Current number of ordered equations: 0
% Current number of rules: 1534
% New rule produced :
% [2344]
% quotient(t(eta(A),quotient(B,j(j(j(j(A)))))),j(A)) ->
% t(eta(A),quotient(quotient(B,A),j(A)))
% Current number of equations to process: 179
% Current number of ordered equations: 0
% Current number of rules: 1535
% New rule produced :
% [2345]
% t(t(eta(A),quotient(B,j(j(A)))),i(i(A))) ->
% t(eta(A),t(quotient(B,j(j(A))),j(j(A))))
% Current number of equations to process: 178
% Current number of ordered equations: 0
% Current number of rules: 1536
% New rule produced :
% [2346]
% t(eta(A),quotient(quotient(B,difference(eta(A),C)),j(j(A)))) <->
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),i(i(A)))
% Current number of equations to process: 177
% Current number of ordered equations: 1
% Current number of rules: 1537
% New rule produced :
% [2347]
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),i(i(A))) <->
% t(eta(A),quotient(quotient(B,difference(eta(A),C)),j(j(A))))
% Current number of equations to process: 177
% Current number of ordered equations: 0
% Current number of rules: 1538
% New rule produced :
% [2348]
% t(eta(A),quotient(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% j(j(A)))) <-> t(i(i(A)),difference(A,j(j(B))))
% Current number of equations to process: 175
% Current number of ordered equations: 1
% Current number of rules: 1539
% New rule produced :
% [2349]
% t(i(i(A)),difference(A,j(j(B)))) <->
% t(eta(A),quotient(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% j(j(A))))
% Current number of equations to process: 175
% Current number of ordered equations: 0
% Current number of rules: 1540
% New rule produced :
% [2350] quotient(quotient(eta(A),j(eta(A))),i(i(A))) -> i(i(i(i(i(A)))))
% Current number of equations to process: 173
% Current number of ordered equations: 0
% Current number of rules: 1541
% New rule produced :
% [2351] quotient(i(i(A)),j(t(eta(A),B))) -> t(eta(A),quotient(j(j(A)),j(B)))
% Current number of equations to process: 176
% Current number of ordered equations: 0
% Current number of rules: 1542
% New rule produced :
% [2352] quotient(i(i(A)),i(t(eta(A),B))) -> t(eta(A),quotient(j(j(A)),i(B)))
% Current number of equations to process: 175
% Current number of ordered equations: 0
% Current number of rules: 1543
% New rule produced :
% [2353]
% t(eta(A),quotient(j(j(A)),quotient(B,difference(eta(A),C)))) <->
% quotient(i(i(A)),quotient(t(eta(A),B),quotient(C,eta(A))))
% Current number of equations to process: 175
% Current number of ordered equations: 1
% Current number of rules: 1544
% New rule produced :
% [2354]
% quotient(i(i(A)),quotient(t(eta(A),B),quotient(C,eta(A)))) <->
% t(eta(A),quotient(j(j(A)),quotient(B,difference(eta(A),C))))
% Current number of equations to process: 175
% Current number of ordered equations: 0
% Current number of rules: 1545
% New rule produced :
% [2355]
% t(eta(A),quotient(j(j(A)),quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))))) <->
% quotient(i(i(A)),difference(A,quotient(quotient(difference(j(A),j(j(B))),
% j(A)),j(j(A)))))
% Current number of equations to process: 174
% Current number of ordered equations: 1
% Current number of rules: 1546
% New rule produced :
% [2356]
% quotient(i(i(A)),difference(A,quotient(quotient(difference(j(A),j(j(B))),
% j(A)),j(j(A))))) <->
% t(eta(A),quotient(j(j(A)),quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B)))))
% Current number of equations to process: 174
% Current number of ordered equations: 0
% Current number of rules: 1547
% New rule produced :
% [2357]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% difference(
% j(
% t(
% eta(A),B)),
% quotient(
% t(
% t(
% eta(A),B),
% i(
% i(A))),
% j(
% t(
% eta(A),B)))),
% j(
% eta(A))))))))
% -> t(eta(A),difference(B,difference(j(B),quotient(t(B,j(j(A))),j(B)))))
% Current number of equations to process: 173
% Current number of ordered equations: 0
% Current number of rules: 1548
% New rule produced : [2358] difference(i(i(A)),j(eta(A))) -> i(i(i(i(i(A)))))
% Rule
% [1024]
% quotient(difference(i(i(A)),j(eta(A))),i(A)) -> quotient(eta(A),j(eta(A)))
% collapsed.
% Current number of equations to process: 177
% Current number of ordered equations: 0
% Current number of rules: 1548
% New rule produced :
% [2359]
% difference(i(i(A)),j(t(eta(A),B))) -> t(eta(A),difference(j(j(A)),j(B)))
% Current number of equations to process: 180
% Current number of ordered equations: 0
% Current number of rules: 1549
% New rule produced :
% [2360]
% difference(i(i(A)),i(t(eta(A),B))) -> t(eta(A),difference(j(j(A)),i(B)))
% Current number of equations to process: 179
% Current number of ordered equations: 0
% Current number of rules: 1550
% New rule produced :
% [2361]
% difference(i(i(A)),quotient(B,eta(A))) ->
% t(eta(A),difference(j(j(A)),difference(eta(A),B)))
% Current number of equations to process: 178
% Current number of ordered equations: 0
% Current number of rules: 1551
% New rule produced :
% [2362]
% t(i(i(A)),t(eta(A),difference(j(j(A)),B))) -> t(eta(A),quotient(B,j(j(A))))
% Current number of equations to process: 177
% Current number of ordered equations: 0
% Current number of rules: 1552
% New rule produced :
% [2363]
% quotient(i(i(A)),quotient(eta(A),j(eta(A)))) ->
% t(eta(A),quotient(j(j(A)),quotient(eta(A),j(eta(A)))))
% Current number of equations to process: 176
% Current number of ordered equations: 0
% Current number of rules: 1553
% New rule produced :
% [2364]
% difference(i(i(A)),quotient(t(eta(A),B),quotient(C,eta(A)))) ->
% t(eta(A),difference(j(j(A)),quotient(B,difference(eta(A),C))))
% Current number of equations to process: 175
% Current number of ordered equations: 0
% Current number of rules: 1554
% New rule produced :
% [2365]
% difference(i(i(A)),quotient(quotient(B,eta(A)),t(eta(A),C))) ->
% t(eta(A),difference(j(j(A)),quotient(difference(eta(A),B),C)))
% Current number of equations to process: 174
% Current number of ordered equations: 0
% Current number of rules: 1555
% New rule produced :
% [2366]
% t(eta(A),difference(j(j(A)),quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))))) -> difference(A,j(j(B)))
% Current number of equations to process: 173
% Current number of ordered equations: 0
% Current number of rules: 1556
% New rule produced :
% [2367]
% quotient(difference(j(A),quotient(A,j(A))),A) ->
% t(A,difference(j(A),j(j(A))))
% Current number of equations to process: 181
% Current number of ordered equations: 0
% Current number of rules: 1557
% New rule produced :
% [2368]
% difference(i(i(A)),eta(quotient(B,eta(A)))) ->
% t(eta(A),difference(j(j(A)),eta(difference(eta(A),B))))
% Current number of equations to process: 180
% Current number of ordered equations: 0
% Current number of rules: 1558
% New rule produced :
% [2369]
% difference(j(eta(A)),quotient(i(quotient(eta(A),j(eta(A)))),eta(A))) ->
% i(quotient(eta(A),j(eta(A))))
% Current number of equations to process: 179
% Current number of ordered equations: 0
% Current number of rules: 1559
% New rule produced :
% [2370]
% quotient(t(eta(A),B),difference(A,j(j(j(j(A)))))) ->
% t(eta(A),quotient(B,quotient(eta(A),j(eta(A)))))
% Current number of equations to process: 178
% Current number of ordered equations: 0
% Current number of rules: 1560
% New rule produced :
% [2371]
% quotient(difference(A,j(j(j(j(A))))),t(eta(A),B)) ->
% t(eta(A),quotient(quotient(eta(A),j(eta(A))),B))
% Current number of equations to process: 177
% Current number of ordered equations: 0
% Current number of rules: 1561
% New rule produced :
% [2372]
% difference(difference(A,j(j(j(j(A))))),t(eta(A),B)) ->
% t(eta(A),difference(quotient(eta(A),j(eta(A))),B))
% Current number of equations to process: 176
% Current number of ordered equations: 0
% Current number of rules: 1562
% New rule produced :
% [2373]
% difference(i(i(A)),quotient(eta(A),j(eta(A)))) ->
% t(eta(A),difference(j(j(A)),quotient(eta(A),j(eta(A)))))
% Current number of equations to process: 175
% Current number of ordered equations: 0
% Current number of rules: 1563
% New rule produced :
% [2374]
% quotient(difference(j(difference(j(A),j(j(A)))),quotient(A,j(difference(
% j(A),j(j(A)))))),
% difference(j(A),quotient(A,j(A)))) -> difference(j(A),j(j(A)))
% Current number of equations to process: 174
% Current number of ordered equations: 0
% Current number of rules: 1564
% New rule produced :
% [2375]
% difference(quotient(B,eta(A)),t(eta(A),difference(j(difference(eta(A),B)),
% quotient(difference(eta(A),B),
% j(difference(eta(A),B)))))) ->
% t(eta(A),difference(j(difference(eta(A),B)),j(j(difference(eta(A),B)))))
% Current number of equations to process: 173
% Current number of ordered equations: 0
% Current number of rules: 1565
% New rule produced :
% [2376] eta(difference(A,j(j(j(j(A)))))) -> eta(quotient(eta(A),j(eta(A))))
% Current number of equations to process: 174
% Current number of ordered equations: 0
% Current number of rules: 1566
% Rule [1321]
% difference(difference(difference(A,j(A)),quotient(quotient(i(A),
% j(difference(A,j(A)))),
% j(j(difference(A,j(A)))))),
% eta(difference(A,j(A)))) -> quotient(i(i(A)),i(difference(A,j(A)))) is composed into
% [1321]
% difference(difference(difference(A,j(A)),quotient(quotient(i(A),j(difference(A,
% j(A)))),
% j(j(difference(A,j(A)))))),eta(
% difference(A,
% j(A))))
% -> quotient(i(i(A)),t(j(A),quotient(A,j(A))))
% New rule produced : [2377] i(difference(A,j(A))) -> t(j(A),quotient(A,j(A)))
% Rule
% [572]
% i(difference(j(A),j(j(A)))) -> t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))
% collapsed.
% Current number of equations to process: 190
% Current number of ordered equations: 0
% Current number of rules: 1566
% New rule produced :
% [2378]
% quotient(eta(difference(j(A),j(j(A)))),quotient(A,j(A))) ->
% i(quotient(A,j(A)))
% Current number of equations to process: 191
% Current number of ordered equations: 0
% Current number of rules: 1567
% New rule produced :
% [2379]
% quotient(quotient(A,j(A)),difference(j(A),j(j(A)))) ->
% eta(difference(j(A),j(j(A))))
% Current number of equations to process: 190
% Current number of ordered equations: 0
% Current number of rules: 1568
% New rule produced :
% [2380]
% t(difference(j(A),j(j(A))),quotient(A,j(A))) ->
% j(j(difference(j(A),j(j(A)))))
% Current number of equations to process: 189
% Current number of ordered equations: 0
% Current number of rules: 1569
% New rule produced :
% [2381] 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: 188
% Current number of ordered equations: 0
% Current number of rules: 1570
% New rule produced :
% [2382] 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: 187
% Current number of ordered equations: 0
% Current number of rules: 1571
% New rule produced :
% [2383]
% difference(i(i(quotient(A,j(A)))),eta(difference(j(A),j(j(A))))) ->
% i(quotient(A,j(A)))
% Current number of equations to process: 186
% Current number of ordered equations: 0
% Current number of rules: 1572
% New rule produced :
% [2384]
% quotient(eta(difference(j(A),j(j(A)))),i(i(quotient(A,j(A))))) ->
% i(i(i(quotient(A,j(A)))))
% Current number of equations to process: 185
% Current number of ordered equations: 0
% Current number of rules: 1573
% Rule [2375]
% difference(quotient(B,eta(A)),t(eta(A),difference(j(difference(eta(A),B)),
% quotient(difference(eta(A),B),
% j(difference(eta(A),B)))))) ->
% t(eta(A),difference(j(difference(eta(A),B)),j(j(difference(eta(A),B))))) is composed into
% [2375]
% difference(quotient(B,eta(A)),t(eta(A),difference(j(difference(eta(A),B)),
% quotient(difference(eta(A),B),
% j(difference(eta(A),B)))))) ->
% t(eta(A),j(t(j(j(difference(eta(A),B))),i(t(j(j(j(difference(eta(A),B)))),
% quotient(difference(eta(A),B),
% j(difference(eta(A),B))))))))
% Rule [2367]
% quotient(difference(j(A),quotient(A,j(A))),A) ->
% t(A,difference(j(A),j(j(A)))) is composed into [2367]
% quotient(difference(
% j(A),quotient(A,
% j(A))),A)
% ->
% t(A,j(t(j(j(A)),i(
% t(
% j(
% j(j(A))),
% quotient(A,
% j(A)))))))
% Rule [1999]
% quotient(difference(j(A),j(j(j(j(A))))),eta(A)) ->
% difference(j(A),j(j(A))) is composed into [1999]
% quotient(difference(j(A),
% j(j(j(j(A))))),
% eta(A)) ->
% j(t(j(j(A)),i(t(j(j(j(A))),
% quotient(A,
% j(A))))))
% Rule [1651]
% difference(B,difference(difference(j(B),quotient(A,j(B))),difference(
% j(difference(
% j(B),
% quotient(A,
% j(B)))),
% quotient(
% t(difference(
% j(B),
% quotient(A,
% j(B))),A),
% j(difference(
% j(B),
% quotient(A,
% j(B))))))))
% <->
% quotient(difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% j(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))),B) is composed into
% [1651]
% difference(B,difference(difference(j(B),quotient(A,j(B))),difference(
% j(difference(
% j(B),quotient(A,
% j(B)))),
% quotient(t(
% difference(
% j(B),
% quotient(A,
% j(B))),A),
% j(difference(
% j(B),quotient(A,
% j(B))))))))
% ->
% quotient(j(t(j(j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))),
% i(t(j(j(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))),
% quotient(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))))),B)
% Rule [1495]
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(j(B),
% quotient(t(B,
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(B)))),A)),j(A))))
% ->
% difference(A,difference(j(A),quotient(t(A,difference(j(B),j(j(B)))),
% j(A)))) is composed into [1495]
% difference(A,
% difference(
% j(A),quotient(
% t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(B)))),A)),
% j(A)))) ->
% difference(A,
% difference(
% j(A),quotient(
% t(A,j(
% t(
% j(j(B)),
% i(
% t(
% j(
% j(j(B))),
% quotient(B,
% j(B))))))),
% j(A))))
% Rule [1489]
% difference(A,difference(j(A),quotient(t(A,t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,A),
% j(B)))))),
% j(A)))) <->
% difference(difference(j(A),j(j(A))),difference(j(difference(j(A),
% j(j(A)))),quotient(
% t(difference(
% j(A),
% j(j(A))),B),
% j(difference(
% j(A),
% j(j(A))))))) is composed into
% [1489]
% difference(A,difference(j(A),quotient(t(A,t(A,difference(B,difference(
% j(B),quotient(
% t(B,A),
% j(B)))))),
% j(A)))) <->
% difference(j(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))),difference(
% j(j(t(j(j(A)),
% i(t(j(j(j(A))),
% quotient(A,
% j(A))))))),
% quotient(t(
% j(
% t(
% j(j(A)),
% i(
% t(
% j(
% j(j(A))),
% quotient(A,
% j(A)))))),B),
% j(j(t(j(j(A)),
% i(t(j(j(j(A))),
% quotient(A,
% j(A))))))))))
% Rule [1467]
% t(A,t(A,difference(B,difference(j(B),quotient(t(B,A),j(B)))))) <->
% quotient(difference(difference(j(A),j(j(A))),difference(j(difference(
% j(A),j(j(A)))),
% quotient(t(difference(
% j(A),j(j(A))),B),
% j(difference(j(A),j(j(A))))))),A) is composed into
% [1467]
% t(A,t(A,difference(B,difference(j(B),quotient(t(B,A),j(B)))))) <->
% quotient(difference(j(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))),difference(
% j(
% j(
% t(
% j(j(A)),
% i(
% t(
% j(
% j(j(A))),
% quotient(A,
% j(A))))))),
% quotient(
% t(
% j(
% t(
% j(j(A)),
% i(
% t(
% j(
% j(j(A))),
% quotient(A,
% j(A)))))),B),
% j(
% j(
% t(
% j(j(A)),
% i(
% t(
% j(
% j(j(A))),
% quotient(A,
% j(A)))))))))),A)
% Rule [1400]
% t(j(A),quotient(quotient(difference(j(B),A),j(B)),j(j(B)))) <->
% quotient(quotient(difference(difference(j(A),j(j(A))),difference(A,
% difference(
% j(A),quotient(
% t(A,j(j(B))),
% j(A))))),
% j(A)),j(A)) is composed into [1400]
% t(j(A),quotient(quotient(difference(
% j(B),A),
% j(B)),j(j(B))))
% <->
% quotient(quotient(difference(
% j(t(j(j(A)),
% i(t(j(j(j(A))),
% quotient(A,
% j(A)))))),
% difference(A,
% difference(
% j(A),quotient(
% t(A,
% j(j(B))),
% j(A))))),
% j(A)),j(A))
% Rule [1204]
% t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(C,
% difference(
% j(C),quotient(
% t(C,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C))))) <->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),C),
% j(difference(A,difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A))))))))) is composed into
% [1204]
% t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(C,difference(
% j(C),
% quotient(
% t(C,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))))
% <->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% j(
% t(
% j(j(A)),
% i(
% t(
% j(
% j(j(A))),
% quotient(A,
% j(A))))))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),
% difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% j(t(
% j(j(A)),
% i(
% t(
% j(
% j(j(A))),
% quotient(A,
% j(A))))))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% j(t(
% j(j(A)),
% i(
% t(
% j(
% j(j(A))),
% quotient(A,
% j(A))))))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% j(t(
% j(j(A)),
% i(
% t(
% j(
% j(j(A))),
% quotient(A,
% j(A))))))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))))))))
% Rule [1117]
% quotient(t(C,difference(difference(A,difference(j(A),quotient(t(A,B),
% j(A)))),difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))),
% difference(A,difference(j(A),quotient(t(A,B),j(A))))) <->
% quotient(difference(quotient(difference(B,difference(j(B),quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A),
% difference(B,difference(j(B),quotient(t(B,difference(difference(
% j(C),
% j(
% j(C))),
% difference(j(
% difference(
% j(C),
% j(
% j(C)))),
% quotient(t(difference(
% j(C),
% j(
% j(C))),A),
% j(difference(
% j(C),j(j(C)))))))),
% j(B))))),A) is composed into
% [1117]
% quotient(t(C,difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))))),
% difference(A,difference(j(A),quotient(t(A,B),j(A))))) <->
% quotient(difference(quotient(difference(B,difference(j(B),quotient(t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A),
% difference(B,difference(j(B),quotient(t(B,difference(j(t(j(j(C)),
% i(t(j(
% j(j(C))),
% quotient(C,
% j(C)))))),
% difference(j(j(t(j(j(C)),
% i(t(
% j(
% j(j(C))),
% quotient(C,
% j(C))))))),
% quotient(t(j(t(j(j(C)),
% i(t(j(
% j(j(C))),
% quotient(C,
% j(C)))))),A),
% j(j(t(j(j(C)),i(t(
% j(
% j(j(C))),
% quotient(C,
% j(C))))))))))),
% j(B))))),A)
% Rule [860]
% t(t(eta(A),B),difference(C,difference(j(C),quotient(t(C,t(eta(A),B)),
% j(C))))) <->
% difference(t(eta(A),B),difference(t(eta(A),difference(j(B),j(j(B)))),
% difference(j(t(eta(A),difference(j(B),j(j(B))))),
% quotient(t(t(eta(A),difference(j(B),j(j(B)))),C),
% j(t(eta(A),difference(j(B),j(j(B))))))))) is composed into
% [860]
% t(t(eta(A),B),difference(C,difference(j(C),quotient(t(C,t(eta(A),B)),j(C)))))
% <->
% difference(t(eta(A),B),difference(t(eta(A),j(t(j(j(B)),i(t(j(j(j(B))),
% quotient(B,j(B))))))),
% difference(j(t(eta(A),j(t(j(j(B)),i(t(j(j(j(B))),
% quotient(B,
% j(B)))))))),
% quotient(t(t(eta(A),j(t(j(j(B)),i(t(j(j(j(B))),
% quotient(B,j(B))))))),C),
% j(t(eta(A),j(t(j(j(B)),i(t(j(j(j(B))),quotient(B,j(B))))))))))))
% Rule [858]
% t(j(j(A)),difference(B,difference(j(B),quotient(t(B,j(j(A))),j(B)))))
% <->
% difference(j(j(A)),difference(difference(j(A),j(j(A))),difference(
% j(difference(
% j(A),j(j(A)))),
% quotient(
% t(difference(
% j(A),j(j(A))),B),
% j(difference(
% j(A),j(j(A)))))))) is composed into
% [858]
% t(j(j(A)),difference(B,difference(j(B),quotient(t(B,j(j(A))),j(B))))) <->
% difference(j(j(A)),difference(j(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))),
% difference(j(j(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A))))))),
% quotient(t(j(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))),B),
% j(j(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))))))))
% Rule [770] difference(i(A),A) -> difference(j(A),j(j(A))) is composed into
% [770] difference(i(A),A) -> j(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A))))))
% Rule [571]
% difference(A,difference(j(A),quotient(A,j(A)))) ->
% difference(j(A),j(j(A))) is composed into [571]
% difference(A,difference(
% j(A),quotient(A,
% j(A)))) ->
% j(t(j(j(A)),i(t(j(j(j(A))),
% quotient(A,
% j(A))))))
% New rule produced :
% [2385]
% difference(j(A),j(j(A))) -> j(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A))))))
% Rule [253] difference(A,difference(j(A),j(j(A)))) -> A collapsed.
% Rule [255] quotient(difference(j(A),j(j(A))),A) -> A collapsed.
% Rule
% [489]
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,C),j(A))))),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A))))))))
% ->
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))) collapsed.
% Rule
% [650]
% quotient(difference(j(A),quotient(A,j(A))),difference(j(A),j(j(A)))) -> A
% collapsed.
% Rule
% [676]
% difference(j(j(A)),j(j(j(A)))) ->
% quotient(quotient(difference(A,j(A)),A),j(A)) collapsed.
% Rule
% [705]
% quotient(difference(i(A),difference(j(A),j(j(A)))),A) ->
% difference(j(A),j(j(A))) collapsed.
% Rule
% [859]
% difference(j(j(A)),difference(difference(j(A),j(j(A))),difference(j(difference(
% j(A),
% j(
% j(A)))),
% quotient(t(difference(
% j(A),
% j(j(A))),B),
% j(difference(j(A),
% j(j(A)))))))) <->
% t(j(j(A)),difference(B,difference(j(B),quotient(t(B,j(j(A))),j(B)))))
% collapsed.
% Rule
% [861]
% difference(t(eta(A),B),difference(t(eta(A),difference(j(B),j(j(B)))),
% difference(j(t(eta(A),difference(j(B),j(j(B))))),
% quotient(t(t(eta(A),difference(j(B),j(j(B)))),C),
% j(t(eta(A),difference(j(B),j(j(B))))))))) <->
% t(t(eta(A),B),difference(C,difference(j(C),quotient(t(C,t(eta(A),B)),j(C)))))
% collapsed.
% Rule
% [881]
% quotient(quotient(t(A,difference(B,difference(j(B),quotient(t(B,A),j(B))))),B),
% difference(j(A),j(j(A)))) <->
% quotient(quotient(quotient(difference(j(A),quotient(B,j(A))),A),B),difference(
% j(A),
% j(
% j(A))))
% collapsed.
% Rule
% [981]
% difference(A,difference(j(A),quotient(t(A,difference(j(A),j(j(A)))),j(A))))
% -> difference(j(A),quotient(A,j(A))) collapsed.
% Rule
% [1059]
% difference(difference(difference(j(A),j(j(A))),A),difference(j(difference(
% difference(
% j(A),j(j(A))),A)),
% quotient(t(difference(
% difference(
% j(A),j(j(A))),A),
% difference(
% difference(
% j(A),j(j(A))),
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(difference(difference(
% j(A),j(j(A))),A)))))
% ->
% difference(difference(j(A),j(j(A))),difference(A,difference(j(A),quotient(
% t(A,
% quotient(
% quotient(B,
% j(A)),
% j(j(A)))),
% j(A)))))
% collapsed.
% Rule
% [1060]
% quotient(difference(difference(difference(j(A),j(j(A))),difference(j(A),
% quotient(t(A,B),
% j(A)))),difference(
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),x2),
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))),
% quotient(difference(difference(difference(j(A),j(j(A))),A),difference(x2,
% difference(
% j(x2),quotient(
% t(x2,
% difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(x2))))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A))))))
% ->
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% i(A)),
% j(B))))),
% j(A)))) collapsed.
% Rule
% [1061]
% difference(quotient(quotient(difference(j(A),B),j(A)),j(j(A))),quotient(
% quotient(
% difference(
% j(A),difference(
% j(B),
% j(
% j(B)))),
% j(A)),
% j(j(A)))) ->
% quotient(t(B,quotient(quotient(difference(j(A),B),j(A)),j(j(A)))),j(j(A)))
% collapsed.
% Rule
% [1082]
% difference(difference(A,difference(j(A),quotient(t(A,j(j(B))),j(A)))),
% difference(A,difference(j(A),quotient(t(A,difference(j(B),j(j(B)))),j(A)))))
% ->
% quotient(t(j(j(B)),difference(A,difference(j(A),quotient(t(A,j(j(B))),j(A))))),A)
% collapsed.
% Rule
% [1083]
% difference(difference(B,difference(j(B),quotient(quotient(A,difference(
% j(B),j(j(B)))),
% j(B)))),A) ->
% quotient(quotient(difference(j(B),quotient(quotient(A,difference(j(B),
% j(j(B)))),j(B))),B),
% quotient(A,difference(j(B),j(j(B))))) collapsed.
% Rule
% [1085]
% difference(difference(A,difference(j(A),quotient(t(A,t(eta(B),C)),j(A)))),
% difference(A,difference(j(A),quotient(t(A,t(eta(B),difference(j(C),j(j(C))))),
% j(A))))) ->
% quotient(t(t(eta(B),C),difference(A,difference(j(A),quotient(t(A,t(eta(B),C)),
% j(A))))),A) collapsed.
% Rule
% [1109]
% difference(quotient(A,eta(B)),t(eta(B),difference(j(difference(eta(B),A)),
% j(j(difference(eta(B),A)))))) ->
% quotient(A,eta(B)) collapsed.
% Rule
% [1118]
% quotient(difference(quotient(difference(B,difference(j(B),quotient(t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A),
% difference(B,difference(j(B),quotient(t(B,difference(difference(
% j(C),j(j(C))),
% difference(j(difference(
% j(C),
% j(j(C)))),
% quotient(t(difference(
% j(C),j(j(C))),A),
% j(difference(j(C),j(j(C)))))))),
% j(B))))),A) <->
% quotient(t(C,difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))))),
% difference(A,difference(j(A),quotient(t(A,B),j(A))))) collapsed.
% Rule
% [1119]
% difference(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))),
% difference(A,difference(j(A),quotient(t(A,quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,difference(
% difference(
% j(C),
% j(
% j(C))),
% difference(
% j(
% difference(
% j(C),
% j(
% j(C)))),
% quotient(
% t(
% difference(
% j(C),
% j(
% j(C))),A),
% j(
% difference(
% j(C),
% j(
% j(C)))))))),
% j(B)))),A)),
% j(A))))) ->
% quotient(t(C,difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))))),
% difference(A,difference(j(A),quotient(t(A,B),j(A))))) collapsed.
% Rule
% [1144]
% difference(difference(difference(j(A),j(j(A))),difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% difference(j(difference(difference(j(A),j(j(A))),difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,C),j(A))))),
% j(difference(difference(j(A),j(j(A))),difference(A,difference(j(A),quotient(
% t(A,B),
% j(A)))))))))
% ->
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(
% difference(A,B),
% difference(
% j(difference(A,B)),
% quotient(
% t(difference(A,B),C),
% j(difference(A,B)))))),
% j(A)))) collapsed.
% Rule
% [1145]
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(difference(j(A),j(j(A))),difference(A,difference(
% j(A),quotient(
% t(A,C),
% j(A)))))),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A))))))))
% ->
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,C)),
% j(B))))),
% j(A)))) collapsed.
% Rule
% [1162]
% difference(difference(A,difference(j(A),quotient(t(difference(j(A),j(j(A))),B),
% j(A)))),difference(difference(
% j(A),j(j(A))),
% difference(j(difference(
% j(A),j(j(A)))),
% quotient(t(difference(
% j(A),j(j(A))),B),
% j(difference(j(A),j(j(A))))))))
% ->
% quotient(quotient(difference(j(A),quotient(t(difference(j(A),j(j(A))),B),
% j(A))),A),t(difference(j(A),j(j(A))),B))
% collapsed.
% Rule
% [1169]
% difference(difference(difference(j(A),j(j(A))),j(j(A))),difference(j(
% difference(
% difference(
% j(A),
% j(
% j(A))),
% j(
% j(A)))),
% quotient(t(difference(
% difference(
% j(A),
% j(
% j(A))),
% j(
% j(A))),
% difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(difference(
% difference(
% j(A),j(j(A))),
% j(j(A))))))) ->
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,quotient(
% quotient(
% difference(A,B),A),
% j(A))),
% j(A)))) collapsed.
% Rule
% [1174]
% difference(quotient(quotient(difference(A,difference(j(A),quotient(t(A,
% difference(
% j(B),
% j(
% j(B)))),
% j(A)))),B),B),
% difference(j(quotient(quotient(difference(A,difference(j(A),quotient(
% t(A,difference(
% j(B),
% j(j(B)))),
% j(A)))),B),B)),
% quotient(t(quotient(quotient(difference(A,difference(j(A),quotient(t(A,
% difference(
% j(B),
% j(
% j(B)))),
% j(A)))),B),B),
% difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,C),j(B))))),
% j(quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(
% j(B),j(j(B)))),
% j(A)))),B),B))))) ->
% difference(difference(j(B),j(j(B))),difference(j(B),quotient(t(B,difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))),
% j(B)))) collapsed.
% Rule
% [1179]
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,
% difference(
% j(A),
% j(j(A)))),
% j(C)))),A),A)),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A))))))))
% ->
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))) collapsed.
% Rule
% [1198]
% quotient(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,C),j(A)))))
% ->
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A))))
% collapsed.
% Rule
% [1199]
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))) ->
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,C),j(A))))
% collapsed.
% Rule
% [1205]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),
% difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))))))))
% <->
% t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(C,difference(
% j(C),
% quotient(
% t(C,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))))
% collapsed.
% Rule
% [1207]
% difference(A,difference(B,difference(j(B),quotient(t(B,difference(j(difference(B,A)),
% j(j(difference(B,A))))),
% j(B))))) ->
% quotient(t(difference(B,A),A),B) collapsed.
% Rule
% [1226]
% quotient(difference(j(A),quotient(quotient(difference(j(A),j(j(A))),j(A)),
% j(j(A)))),j(j(A))) -> quotient(A,j(A)) collapsed.
% Rule
% [1265]
% difference(A,difference(quotient(A,B),difference(j(quotient(A,B)),quotient(
% t(quotient(A,B),
% difference(
% j(B),
% j(j(B)))),
% j(quotient(A,B))))))
% -> quotient(t(B,A),quotient(A,B)) collapsed.
% Rule
% [1266]
% difference(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),difference(A,difference(
% j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(
% j(B),
% j(j(B)))),
% j(C)))),B)),
% j(B))))),
% j(C)))),B)),
% j(B))))),
% j(A))))) ->
% quotient(t(difference(B,difference(j(B),quotient(t(B,C),j(B)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),A)
% collapsed.
% Rule
% [1268]
% quotient(quotient(i(A),j(difference(j(A),j(j(A))))),j(j(difference(j(A),
% j(j(A)))))) ->
% i(quotient(quotient(A,j(difference(j(A),j(j(A))))),j(j(difference(j(A),
% j(j(A)))))))
% collapsed.
% Rule
% [1298]
% quotient(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))))
% ->
% t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,C),j(A)))))
% collapsed.
% Rule
% [1350]
% difference(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))),
% difference(A,difference(j(A),quotient(t(A,difference(j(quotient(difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(j(quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A))))),
% j(A))))) ->
% quotient(t(quotient(difference(B,difference(j(B),quotient(t(B,difference(C,
% difference(
% j(C),quotient(
% t(C,A),
% j(C))))),
% j(B)))),A),difference(A,
% difference(
% j(A),quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A))))),A)
% collapsed.
% Rule
% [1355]
% difference(difference(j(B),j(j(B))),difference(j(B),quotient(t(B,A),j(B))))
% <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(
% j(B),j(j(B)))),
% j(A)))),B),B) collapsed.
% Rule
% [1356]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(
% j(B),j(j(B)))),
% j(A)))),B),B) <->
% difference(difference(j(B),j(j(B))),difference(j(B),quotient(t(B,A),j(B))))
% collapsed.
% Rule
% [1369]
% difference(difference(B,difference(j(B),quotient(t(B,A),j(B)))),difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(
% j(A),
% j(
% j(A)))),
% j(B))))) ->
% quotient(t(A,difference(B,difference(j(B),quotient(t(B,A),j(B))))),B)
% collapsed.
% Rule
% [1370]
% t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(C,
% difference(
% j(C),
% quotient(
% t(C,B),
% j(C))))),
% j(A))))) <->
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(difference(
% j(B),
% j(
% j(B)))),
% quotient(
% t(difference(
% j(B),
% j(
% j(B))),C),
% j(difference(
% j(B),
% j(
% j(B)))))))),
% j(A))))) collapsed.
% Rule
% [1371]
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(difference(
% j(B),
% j(
% j(B)))),
% quotient(
% t(difference(
% j(B),
% j(
% j(B))),C),
% j(difference(
% j(B),
% j(
% j(B)))))))),
% j(A))))) <->
% t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(C,
% difference(
% j(C),
% quotient(
% t(C,B),
% j(C))))),
% j(A))))) collapsed.
% Rule
% [1372]
% t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))),
% difference(C,difference(j(C),quotient(t(C,difference(difference(j(A),j(j(A))),
% difference(j(A),quotient(t(A,B),
% j(A))))),j(C)))))
% <->
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(
% j(B),
% j(
% j(B)))),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,
% difference(
% j(B),
% j(j(B)))),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(
% j(B),
% j(
% j(B)))),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(
% j(B),
% j(
% j(B)))),
% j(A))))))))) collapsed.
% Rule
% [1373]
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(
% j(B),
% j(
% j(B)))),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,
% difference(
% j(B),
% j(j(B)))),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(
% j(B),
% j(
% j(B)))),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(
% j(B),
% j(
% j(B)))),
% j(A))))))))) <->
% t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))),
% difference(C,difference(j(C),quotient(t(C,difference(difference(j(A),j(j(A))),
% difference(j(A),quotient(t(A,B),
% j(A))))),j(C)))))
% collapsed.
% Rule
% [1383]
% difference(difference(j(A),j(j(A))),quotient(quotient(A,j(difference(
% j(A),j(j(A))))),
% j(j(difference(j(A),j(j(A))))))) ->
% quotient(eta(difference(j(A),j(j(A)))),A) collapsed.
% Rule
% [1388]
% quotient(difference(C,difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(A))))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))))
% <->
% difference(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))))))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B))))),
% j(A))))) collapsed.
% Rule
% [1389]
% difference(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))))))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B))))),
% j(A))))) <->
% quotient(difference(C,difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(A))))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))))
% collapsed.
% Rule
% [1393]
% difference(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,C),
% j(A))))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))) ->
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A))))
% collapsed.
% Rule
% [1401]
% quotient(quotient(difference(difference(j(A),j(j(A))),difference(A,difference(
% j(A),
% quotient(
% t(A,
% j(
% j(B))),
% j(A))))),
% j(A)),j(A)) <->
% t(j(A),quotient(quotient(difference(j(B),A),j(B)),j(j(B)))) collapsed.
% Rule
% [1406]
% difference(difference(A,difference(j(A),quotient(t(A,difference(difference(
% j(B),
% j(j(B))),
% difference(j(B),
% quotient(t(B,C),
% j(B))))),j(A)))),
% difference(A,difference(j(A),quotient(t(A,difference(difference(j(B),j(j(B))),
% difference(j(B),quotient(t(B,
% difference(
% j(C),
% j(
% j(C)))),
% j(B))))),j(A)))))
% ->
% quotient(t(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,C),
% j(B)))),
% difference(A,difference(j(A),quotient(t(A,difference(difference(
% j(B),j(j(B))),
% difference(j(B),quotient(
% t(B,C),
% j(B))))),
% j(A))))),A) collapsed.
% Rule
% [1416]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(j(B),j(j(B)))),
% j(A)))),quotient(t(B,difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),A))
% -> difference(A,difference(j(A),quotient(t(A,B),j(A)))) collapsed.
% Rule
% [1439]
% quotient(quotient(difference(difference(j(A),j(j(A))),difference(A,difference(
% j(A),
% quotient(
% t(A,
% j(
% j(B))),
% j(A))))),
% j(A)),quotient(quotient(difference(j(B),A),j(B)),j(j(B)))) ->
% j(A) collapsed.
% Rule
% [1449]
% difference(A,difference(difference(j(A),j(j(A))),difference(j(difference(
% j(A),j(j(A)))),
% quotient(t(difference(
% j(A),j(j(A))),B),
% j(difference(j(A),j(j(A))))))))
% -> quotient(difference(j(A),quotient(B,j(A))),A) collapsed.
% Rule
% [1468]
% quotient(difference(difference(j(A),j(j(A))),difference(j(difference(
% j(A),j(j(A)))),
% quotient(t(difference(j(A),
% j(j(A))),B),j(
% difference(
% j(A),
% j(
% j(A))))))),A)
% <-> t(A,t(A,difference(B,difference(j(B),quotient(t(B,A),j(B)))))) collapsed.
% Rule
% [1471]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(j(B),j(j(B)))),
% j(A)))),difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A))))) ->
% t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),quotient(t(B,difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),A))
% collapsed.
% Rule
% [1485]
% difference(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,V_3),
% j(B)))),
% difference(difference(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B)))),
% difference(j(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B))))),
% quotient(t(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B)))),A),
% j(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,V_3),
% j(B)))))))),
% difference(j(difference(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B)))),
% difference(j(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B))))),
% quotient(t(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B)))),A),
% j(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,V_3),
% j(B))))))))),
% quotient(t(difference(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B)))),
% difference(j(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B))))),
% quotient(t(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B)))),A),
% j(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,V_3),
% j(B)))))))),
% difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,C),j(B))))),
% j(difference(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,V_3),
% j(B)))),
% difference(j(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,V_3),
% j(B))))),
% quotient(t(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,V_3),
% j(B)))),A),
% j(difference(difference(j(B),j(j(B))),difference(j(B),quotient(t(B,V_3),
% j(B))))))))))))) <->
% quotient(difference(A,difference(j(A),quotient(t(A,difference(difference(
% j(B),j(j(B))),
% difference(j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C))))),
% j(B))))),
% j(A)))),difference(difference(j(B),
% j(j(B))),difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B)))))
% collapsed.
% Rule
% [1486]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(difference(
% j(B),j(j(B))),
% difference(j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C))))),
% j(B))))),
% j(A)))),difference(difference(j(B),
% j(j(B))),difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B)))))
% <->
% difference(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,V_3),
% j(B)))),
% difference(difference(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B)))),
% difference(j(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B))))),
% quotient(t(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B)))),A),
% j(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,V_3),
% j(B)))))))),
% difference(j(difference(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B)))),
% difference(j(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B))))),
% quotient(t(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B)))),A),
% j(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,V_3),
% j(B))))))))),
% quotient(t(difference(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B)))),
% difference(j(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B))))),
% quotient(t(difference(difference(j(B),j(j(B))),difference(
% j(B),quotient(
% t(B,V_3),
% j(B)))),A),
% j(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,V_3),
% j(B)))))))),
% difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,C),j(B))))),
% j(difference(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,V_3),
% j(B)))),
% difference(j(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,V_3),
% j(B))))),
% quotient(t(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,V_3),
% j(B)))),A),
% j(difference(difference(j(B),j(j(B))),difference(j(B),quotient(t(B,V_3),
% j(B)))))))))))))
% collapsed.
% Rule
% [1487]
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),V_3),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))))))) <->
% quotient(difference(difference(difference(j(A),j(j(A))),difference(j(A),
% quotient(t(A,C),
% j(A)))),difference(
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))),
% quotient(
% t(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,
% difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(V_3))))),
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))))))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))))
% collapsed.
% Rule
% [1488]
% quotient(difference(difference(difference(j(A),j(j(A))),difference(j(A),
% quotient(t(A,C),
% j(A)))),difference(
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))),
% quotient(
% t(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,
% difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(V_3))))),
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))))))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))))
% <->
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),V_3),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))))))) collapsed.
% Rule
% [1490]
% difference(difference(j(A),j(j(A))),difference(j(difference(j(A),j(j(A)))),
% quotient(t(difference(j(A),j(j(A))),B),
% j(difference(j(A),j(j(A))))))) <->
% difference(A,difference(j(A),quotient(t(A,t(A,difference(B,difference(
% j(B),quotient(
% t(B,A),
% j(B)))))),
% j(A)))) collapsed.
% Rule
% [1491]
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),V_3),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))))))))
% <->
% quotient(difference(difference(difference(j(A),j(j(A))),difference(j(A),
% quotient(t(A,C),
% j(A)))),difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,
% difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(V_3))))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))))
% collapsed.
% Rule
% [1492]
% quotient(difference(difference(difference(j(A),j(j(A))),difference(j(A),
% quotient(t(A,C),
% j(A)))),difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,
% difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(V_3))))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))))
% <->
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),V_3),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))))))))
% collapsed.
% Rule
% [1494]
% quotient(difference(j(A),quotient(eta(difference(j(A),j(j(A)))),j(A))),A) ->
% difference(A,j(j(difference(j(A),j(j(A)))))) collapsed.
% Rule
% [1497]
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% quotient(difference(C,difference(j(C),quotient(t(C,difference(
% difference(
% j(A),j(j(A))),
% difference(
% j(A),quotient(
% t(A,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(A))))),
% j(C)))),difference(difference(
% j(A),
% j(j(A))),
% difference(j(A),
% quotient(t(A,B),
% j(A)))))),j(difference(
% difference(
% j(A),
% j(
% j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% <->
% difference(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))))))),
% difference(j(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))))))),
% quotient(t(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))))))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,V_3),
% j(A))))),
% j(difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A))))))))))))
% collapsed.
% Rule
% [1498]
% difference(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))))))),
% difference(j(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))))))),
% quotient(t(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))))))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,V_3),
% j(A))))),
% j(difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A))))))))))))
% <->
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% quotient(difference(C,difference(j(C),quotient(t(C,difference(
% difference(
% j(A),j(j(A))),
% difference(
% j(A),quotient(
% t(A,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,B),
% j(V_3))))),
% j(A))))),
% j(C)))),difference(difference(
% j(A),
% j(j(A))),
% difference(j(A),
% quotient(t(A,B),
% j(A)))))),j(difference(
% difference(
% j(A),
% j(
% j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% collapsed.
% Rule
% [1499]
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(C),
% j(j(C)))),
% j(B))))),
% j(A))))) ->
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,C),
% j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))))
% collapsed.
% Rule
% [1514]
% t(eta(A),difference(difference(difference(j(B),j(j(B))),difference(eta(A),
% difference(eta(A),
% difference(j(eta(A)),
% quotient(difference(
% j(t(
% eta(A),B)),
% quotient(
% t(t(
% eta(A),B),C),
% j(t(
% eta(A),B)))),
% j(eta(A))))))),
% difference(j(difference(difference(j(B),j(j(B))),difference(
% eta(A),difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(
% difference(
% j(t(
% eta(A),B)),
% quotient(
% t(t(
% eta(A),B),C),
% j(t(
% eta(A),B)))),
% j(eta(A)))))))),
% quotient(t(difference(difference(j(B),j(j(B))),difference(eta(A),
% difference(eta(A),
% difference(j(eta(A)),
% quotient(difference(
% j(t(
% eta(A),B)),
% quotient(
% t(t(
% eta(A),B),C),
% j(t(
% eta(A),B)))),
% j(eta(A))))))),
% difference(difference(j(B),j(j(B))),difference(j(B),
% quotient(t(B,V_3),
% j(B))))),j(difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% eta(A),
% difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(
% difference(
% j(t(
% eta(A),B)),
% quotient(
% t(t(
% eta(A),B),C),
% j(t(
% eta(A),B)))),
% j(eta(A))))))))))))
% ->
% t(eta(A),difference(difference(j(B),j(j(B))),difference(eta(A),difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(
% difference(
% j(t(eta(A),B)),
% quotient(
% t(t(eta(A),B),
% difference(C,
% difference(
% j(C),quotient(
% t(C,
% t(
% eta(A),V_3)),
% j(C))))),
% j(t(eta(A),B)))),
% j(eta(A))))))))
% collapsed.
% Rule
% [1515]
% t(eta(A),difference(difference(difference(j(B),j(j(B))),difference(j(B),
% quotient(t(B,C),
% j(B)))),difference(
% j(difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% quotient(
% t(difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))),
% difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% eta(A),
% difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(
% difference(
% j(t(eta(A),B)),
% quotient(
% t(t(eta(A),B),V_3),
% j(t(eta(A),B)))),
% j(eta(A)))))))),
% j(difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))))))))
% <->
% t(eta(A),difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,difference(C,
% difference(
% eta(A),
% difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(
% difference(
% j(t(
% eta(A),C)),
% quotient(
% t(t(
% eta(A),C),V_3),
% j(t(
% eta(A),C)))),
% j(eta(A)))))))),
% j(B)))))
% collapsed.
% Rule
% [1516]
% t(eta(A),difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,difference(C,
% difference(
% eta(A),
% difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(
% difference(
% j(t(
% eta(A),C)),
% quotient(
% t(t(
% eta(A),C),V_3),
% j(t(
% eta(A),C)))),
% j(eta(A)))))))),
% j(B))))) <->
% t(eta(A),difference(difference(difference(j(B),j(j(B))),difference(j(B),
% quotient(t(B,C),
% j(B)))),difference(
% j(difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% quotient(
% t(difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))),
% difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% eta(A),
% difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(
% difference(
% j(t(eta(A),B)),
% quotient(
% t(t(eta(A),B),V_3),
% j(t(eta(A),B)))),
% j(eta(A)))))))),
% j(difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))))))))
% collapsed.
% Rule
% [1517]
% quotient(quotient(difference(difference(difference(j(B),j(j(B))),difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B)))),
% difference(j(difference(difference(j(B),j(j(B))),difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B))))),
% quotient(t(difference(difference(j(B),j(j(B))),difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B)))),
% difference(A,difference(j(A),quotient(t(A,
% difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),j(difference(
% difference(
% j(B),
% j(
% j(B))),
% difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B)))))))),
% difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,C),j(B))))),A)
% <->
% difference(difference(A,difference(j(A),quotient(t(A,difference(difference(
% j(B),
% j(j(B))),
% difference(j(B),
% quotient(t(B,C),
% j(B))))),j(A)))),
% difference(A,difference(j(A),quotient(t(A,difference(difference(j(B),j(j(B))),
% difference(j(B),quotient(t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C))))),
% j(B))))),j(A)))))
% collapsed.
% Rule
% [1518]
% difference(difference(A,difference(j(A),quotient(t(A,difference(difference(
% j(B),
% j(j(B))),
% difference(j(B),
% quotient(t(B,C),
% j(B))))),j(A)))),
% difference(A,difference(j(A),quotient(t(A,difference(difference(j(B),j(j(B))),
% difference(j(B),quotient(t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C))))),
% j(B))))),j(A)))))
% <->
% quotient(quotient(difference(difference(difference(j(B),j(j(B))),difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B)))),
% difference(j(difference(difference(j(B),j(j(B))),difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B))))),
% quotient(t(difference(difference(j(B),j(j(B))),difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B)))),
% difference(A,difference(j(A),quotient(t(A,
% difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),j(difference(
% difference(
% j(B),
% j(
% j(B))),
% difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B)))))))),
% difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,C),j(B))))),A)
% collapsed.
% Rule
% [1521]
% quotient(difference(difference(j(A),j(j(A))),difference(j(difference(
% j(A),j(j(A)))),
% quotient(t(difference(j(A),
% j(j(A))),B),j(
% difference(
% j(A),
% j(
% j(A))))))),
% t(A,difference(B,difference(j(B),quotient(t(B,A),j(B)))))) -> A collapsed.
% Rule
% [1541]
% t(eta(A),difference(difference(difference(j(B),j(j(B))),difference(eta(A),
% difference(eta(A),
% difference(j(eta(A)),
% quotient(difference(
% j(t(
% eta(A),B)),
% quotient(
% t(t(
% eta(A),B),C),
% j(t(
% eta(A),B)))),
% j(eta(A))))))),
% difference(j(difference(difference(j(B),j(j(B))),difference(
% eta(A),difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(
% difference(
% j(t(
% eta(A),B)),
% quotient(
% t(t(
% eta(A),B),C),
% j(t(
% eta(A),B)))),
% j(eta(A)))))))),
% quotient(t(difference(difference(j(B),j(j(B))),difference(eta(A),
% difference(eta(A),
% difference(j(eta(A)),
% quotient(difference(
% j(t(
% eta(A),B)),
% quotient(
% t(t(
% eta(A),B),C),
% j(t(
% eta(A),B)))),
% j(eta(A))))))),
% difference(difference(j(B),j(j(B))),difference(eta(A),
% difference(eta(A),
% difference(j(eta(A)),
% quotient(difference(
% j(t(eta(A),B)),
% quotient(
% t(t(eta(A),B),V_3),
% j(t(eta(A),B)))),
% j(eta(A)))))))),
% j(difference(difference(j(B),j(j(B))),difference(eta(A),difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(
% difference(
% j(t(
% eta(A),B)),
% quotient(
% t(t(
% eta(A),B),C),
% j(t(
% eta(A),B)))),
% j(eta(A))))))))))))
% ->
% t(eta(A),difference(difference(j(B),j(j(B))),difference(eta(A),difference(
% eta(A),
% difference(
% j(eta(A)),
% quotient(
% difference(
% j(t(eta(A),B)),
% quotient(
% t(t(eta(A),B),
% difference(C,
% difference(
% j(C),quotient(
% t(C,V_3),
% j(C))))),
% j(t(eta(A),B)))),
% j(eta(A))))))))
% collapsed.
% Rule
% [1546]
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% quotient(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),
% difference(V_3,difference(j(V_3),quotient(
% t(V_3,difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(V_3))))),
% j(difference(difference(j(A),j(j(A))),difference(j(A),
% quotient(t(A,C),
% j(A)))))))),difference(
% difference(
% j(A),
% j(
% j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A))))))))
% <->
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),V_3),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))))))) collapsed.
% Rule
% [1547]
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),V_3),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))))))) <->
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% quotient(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),
% difference(V_3,difference(j(V_3),quotient(
% t(V_3,difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(V_3))))),
% j(difference(difference(j(A),j(j(A))),difference(j(A),
% quotient(t(A,C),
% j(A)))))))),difference(
% difference(
% j(A),
% j(
% j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A))))))))
% collapsed.
% Rule
% [1571]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(
% difference(
% j(B),j(j(B))),
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C))))),
% j(B))))),
% j(A)))),difference(difference(
% j(B),
% j(j(B))),
% difference(j(B),
% quotient(t(B,V_3),
% j(B))))),difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))) <->
% difference(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C))))),
% j(B)))),
% difference(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,C),
% j(B)))),
% difference(j(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,C),
% j(B))))),
% quotient(t(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,C),
% j(B)))),
% difference(difference(difference(j(B),j(j(B))),difference(j(B),
% quotient(t(B,V_3),
% j(B)))),difference(
% j(difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B))))),
% quotient(
% t(difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B)))),A),
% j(difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B))))))))),
% j(difference(difference(j(B),j(j(B))),difference(j(B),quotient(t(B,C),j(B)))))))))
% collapsed.
% Rule
% [1572]
% difference(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C))))),
% j(B)))),
% difference(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,C),
% j(B)))),
% difference(j(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,C),
% j(B))))),
% quotient(t(difference(difference(j(B),j(j(B))),difference(j(B),quotient(
% t(B,C),
% j(B)))),
% difference(difference(difference(j(B),j(j(B))),difference(j(B),
% quotient(t(B,V_3),
% j(B)))),difference(
% j(difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B))))),
% quotient(
% t(difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B)))),A),
% j(difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B))))))))),
% j(difference(difference(j(B),j(j(B))),difference(j(B),quotient(t(B,C),j(B)))))))))
% <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(
% difference(
% j(B),j(j(B))),
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,V_3),
% j(C))))),
% j(B))))),
% j(A)))),difference(difference(
% j(B),
% j(j(B))),
% difference(j(B),
% quotient(t(B,V_3),
% j(B))))),difference(
% difference(
% j(B),
% j(j(B))),
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))))
% collapsed.
% Rule
% [1587]
% difference(difference(difference(j(A),j(j(A))),quotient(quotient(difference(
% j(A),
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A)))),
% j(A)),j(j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),quotient(quotient(difference(
% j(A),
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(
% j(A)))),
% j(A)),j(j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),quotient(quotient(difference(
% j(A),
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A)))),
% j(A)),j(j(A)))),
% difference(difference(j(A),j(j(A))),quotient(quotient(difference(
% j(A),quotient(
% quotient(
% difference(
% j(A),C),
% j(A)),
% j(
% j(A)))),
% j(A)),j(j(A))))),
% j(difference(difference(j(A),j(j(A))),quotient(quotient(difference(j(A),
% quotient(quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A)))),j(A)),
% j(j(A)))))))) ->
% difference(difference(j(A),j(j(A))),quotient(quotient(difference(j(A),
% quotient(quotient(
% difference(
% j(A),difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)),
% j(j(A)))),j(A)),
% j(j(A)))) collapsed.
% Rule
% [1631]
% difference(A,difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% j(j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))) ->
% quotient(difference(B,difference(j(B),quotient(t(B,difference(t(A,B),
% difference(j(t(A,B)),
% quotient(t(t(A,B),
% quotient(
% difference(
% j(A),quotient(
% t(A,
% t(A,B)),
% j(A))),
% t(A,B))),
% j(t(A,B)))))),j(B)))),A)
% collapsed.
% Rule
% [1652]
% quotient(difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% j(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))),B) <->
% difference(B,difference(difference(j(B),quotient(A,j(B))),difference(
% j(difference(
% j(B),quotient(A,
% j(B)))),
% quotient(t(
% difference(
% j(B),
% quotient(A,
% j(B))),A),
% j(difference(
% j(B),quotient(A,
% j(B))))))))
% collapsed.
% Rule
% [1662]
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% j(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A)))))))
% ->
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(
% j(B),
% j(j(B)))),
% j(A)))) collapsed.
% Rule
% [1663]
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(
% j(B),
% j(j(B)))),
% j(A))))) ->
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A))))
% collapsed.
% Rule
% [1664]
% difference(difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))))))),
% difference(j(difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))))))),
% quotient(t(difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))))))),
% difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),V_3),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))))))),
% j(difference(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))))))
% ->
% difference(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(C,
% difference(j(C),
% quotient(t(C,V_3),
% j(C))))),j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% collapsed.
% Rule
% [1692]
% difference(difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))))))),
% difference(j(difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))))))),
% quotient(t(difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))))))),
% difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% difference(j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,A),
% j(V_3))))),
% j(B)))),A)),
% j(A))))),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))))))))),
% j(difference(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))))))
% ->
% difference(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(C,
% difference(j(C),
% quotient(t(C,V_3),
% j(C))))),j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% collapsed.
% Rule
% [1693]
% difference(difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A))))),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))))))),
% difference(j(difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(A,
% difference(
% j(A),quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A))))),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))))))))),
% quotient(t(difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A))))),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))))))),
% difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),V_3),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))))))),
% j(difference(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(A,
% difference(
% j(A),quotient(
% t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(A))))),
% j(difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))))))))
% ->
% difference(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(C,
% difference(j(C),
% quotient(t(C,V_3),
% j(C))))),j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% collapsed.
% Rule
% [1738]
% quotient(quotient(difference(j(difference(A,difference(j(A),quotient(
% t(A,B),j(A))))),
% j(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))),B),A)
% ->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,difference(
% j(B),
% quotient(A,
% j(B)))),
% j(A)))))
% collapsed.
% Rule
% [1752]
% difference(difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))))))),
% difference(j(difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))))))),
% quotient(t(difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))))))),
% difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(A,
% difference(j(A),
% quotient(t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% quotient(
% difference(V_3,
% difference(
% j(V_3),
% quotient(
% t(V_3,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(V_3)))),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))),
% j(B)))),A)),
% j(A)))))),j(
% difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),
% difference(
% j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))))))
% ->
% difference(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(C,
% difference(j(C),
% quotient(t(C,V_3),
% j(C))))),j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% collapsed.
% Rule
% [1753]
% difference(difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(A,
% difference(
% j(A),quotient(
% t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% difference(
% j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(C)))),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))),
% j(B)))),A)),
% j(A))))),
% difference(j(difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(A,
% difference(
% j(A),quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(C)))),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))),
% j(B)))),A)),
% j(A)))))),
% quotient(t(difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(A,
% difference(
% j(A),quotient(
% t(A,quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% difference(
% j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(C)))),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))),
% j(B)))),A)),
% j(A))))),
% difference(difference(A,difference(j(A),quotient(t(A,quotient(
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),V_3),
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))))))),
% j(difference(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(A,difference(
% j(A),quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% difference(
% j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% quotient(
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(C)))),
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))),
% j(B)))),A)),
% j(A)))))))))
% ->
% difference(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A)),
% j(A)))),difference(j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(C,
% difference(j(C),
% quotient(t(C,V_3),
% j(C))))),j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% collapsed.
% Rule
% [1771]
% difference(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,difference(
% j(B),
% j(
% j(B)))),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))))))),
% difference(j(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,
% difference(
% j(B),
% j(j(B)))),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))))))),
% quotient(t(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,difference(
% j(B),
% j(
% j(B)))),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))))))),
% difference(difference(difference(j(A),j(j(A))),difference(j(A),
% quotient(t(A,
% difference(
% j(B),
% j(j(B)))),
% j(A)))),difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,difference(
% j(B),
% quotient(
% t(B,V_3),
% j(B)))),
% j(A)))))),
% j(difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,
% difference(
% j(B),
% j(j(B)))),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A))))))))))))
% ->
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(
% j(B),
% j(
% j(B)))),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(C,difference(j(C),quotient(t(C,difference(difference(
% j(A),j(j(A))),
% difference(j(A),quotient(
% t(A,V_3),
% j(A))))),
% j(C))))),j(difference(difference(
% j(A),j(j(A))),
% difference(j(A),quotient(
% t(A,B),
% j(A))))))))
% collapsed.
% Rule
% [1772]
% difference(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,difference(
% j(B),
% j(
% j(B)))),
% j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))),
% j(A))))),
% difference(j(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,
% difference(
% j(B),
% j(j(B)))),
% j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))),
% j(A)))))),
% quotient(t(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,difference(
% j(B),
% j(
% j(B)))),
% j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))),
% j(A))))),
% difference(difference(difference(j(A),j(j(A))),difference(j(A),
% quotient(t(A,
% difference(
% j(B),
% j(j(B)))),
% j(A)))),difference(
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),V_3),
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))),
% j(difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,
% difference(
% j(B),
% j(j(B)))),
% j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))),
% j(A))))))))) ->
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(
% j(B),
% j(
% j(B)))),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(difference(difference(j(A),j(j(A))),difference(j(A),
% quotient(t(A,C),
% j(A)))),difference(
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))),
% quotient(
% t(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),V_3),
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A))))))))),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A))))))))
% collapsed.
% Rule
% [1783]
% difference(difference(A,difference(j(A),quotient(t(A,quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(
% j(A),
% j(
% j(A)))),
% j(B)))),A)),
% j(A)))),difference(j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(j(difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% ->
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,difference(A,
% difference(
% j(A),quotient(
% t(A,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(
% j(A),
% j(j(A)))),
% j(B)))),A)),
% j(A))))),
% j(B)))),A),difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))))
% collapsed.
% Rule
% [1790]
% difference(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,difference(
% j(B),
% j(
% j(B)))),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))))))),
% difference(j(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,
% difference(
% j(B),
% j(j(B)))),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))))))),
% quotient(t(difference(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,difference(
% j(B),
% j(
% j(B)))),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))))))),
% difference(difference(difference(j(A),j(j(A))),difference(j(A),
% quotient(t(A,
% difference(
% j(B),
% j(j(B)))),
% j(A)))),difference(
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),V_3),
% j(difference(
% difference(
% j(A),
% j(j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))),
% j(difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,
% difference(
% j(B),
% j(j(B)))),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),C),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(t(A,B),j(A))))))))))))
% ->
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,difference(
% j(B),
% j(
% j(B)))),
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(C,difference(j(C),quotient(t(C,V_3),j(C))))),j(difference(
% difference(
% j(A),
% j(
% j(A))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))
% collapsed.
% Rule
% [1809]
% difference(difference(difference(j(A),j(j(A))),difference(j(A),quotient(A,
% j(A)))),
% difference(j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(A,
% j(A))))),
% quotient(t(difference(difference(j(A),j(j(A))),difference(j(A),quotient(A,
% j(A)))),
% difference(difference(j(A),j(j(A))),difference(j(A),quotient(
% t(A,B),j(A))))),
% j(difference(difference(j(A),j(j(A))),difference(j(A),quotient(A,j(A))))))))
% ->
% difference(difference(j(A),j(j(A))),difference(A,difference(j(A),quotient(
% t(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),
% j(A)))))
% collapsed.
% Rule
% [1880]
% difference(difference(j(A),j(j(A))),difference(A,difference(j(A),quotient(
% t(A,
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A)))),
% j(A))))) ->
% difference(A,quotient(quotient(difference(j(A),difference(difference(
% j(A),j(j(A))),
% difference(j(A),quotient(
% t(A,B),
% j(A))))),
% j(A)),j(j(A)))) collapsed.
% Rule [1959] difference(i(i(A)),difference(j(A),j(j(A)))) -> i(i(A))
% collapsed.
% Rule [1961] quotient(difference(j(A),j(j(A))),i(i(A))) -> i(i(A)) collapsed.
% Rule
% [2000]
% difference(difference(j(A),j(j(A))),difference(j(A),j(j(j(j(A)))))) -> eta(A)
% collapsed.
% Rule
% [2374]
% quotient(difference(j(difference(j(A),j(j(A)))),quotient(A,j(difference(
% j(A),j(j(A)))))),
% difference(j(A),quotient(A,j(A)))) -> difference(j(A),j(j(A))) collapsed.
% Rule
% [2378]
% quotient(eta(difference(j(A),j(j(A)))),quotient(A,j(A))) ->
% i(quotient(A,j(A))) collapsed.
% Rule
% [2379]
% quotient(quotient(A,j(A)),difference(j(A),j(j(A)))) ->
% eta(difference(j(A),j(j(A)))) collapsed.
% Rule
% [2380]
% t(difference(j(A),j(j(A))),quotient(A,j(A))) ->
% j(j(difference(j(A),j(j(A))))) collapsed.
% Rule
% [2383]
% difference(i(i(quotient(A,j(A)))),eta(difference(j(A),j(j(A))))) ->
% i(quotient(A,j(A))) collapsed.
% Rule
% [2384]
% quotient(eta(difference(j(A),j(j(A)))),i(i(quotient(A,j(A))))) ->
% i(i(i(quotient(A,j(A))))) collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% difference(x0,quotient(quotient(difference(j(x0),quotient(difference(
% i(x1),quotient(
% j(t(j(j(x2)),
% i(t(
% j(
% j(
% j(x2))),
% quotient(x2,
% j(x2)))))),
% quotient(
% difference(x1,
% j(t(j(j(x2)),
% i(t(
% j(
% j(
% j(x2))),
% quotient(x2,
% j(x2))))))),x2))),x1)),
% j(x0)),j(j(x0)))) = t(eta(x0),difference(x1,difference(
% j(x1),
% quotient(
% t(x1,
% quotient(
% j(
% t(
% j(j(x2)),
% i(
% t(
% j(
% j(j(x2))),
% quotient(x2,
% j(x2)))))),
% quotient(
% difference(
% eta(x0),
% j(
% t(
% j(j(x2)),
% i(
% t(
% j(
% j(j(x2))),
% quotient(x2,
% j(x2))))))),x2))),
% j(x1)))))
%
% Current number of equations to process: 271
% Current number of ordered equations: 0
% Current number of rules: 1473
% New rule produced :
% [2386]
% difference(difference(j(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))),
% difference(j(A),quotient(t(A,B),j(A)))),difference(j(difference(
% j(t(j(j(A)),
% i(t(
% j(
% j(j(A))),
% quotient(A,
% j(A)))))),
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(t(difference(
% j(t(j(j(A)),
% i(t(j(
% j(j(A))),
% quotient(A,
% j(A)))))),
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(
% j(t(j(j(A)),
% i(t(j(j(j(A))),
% quotient(A,
% j(A)))))),
% difference(
% j(A),quotient(
% t(A,C),
% j(A))))),
% j(difference(j(t(j(j(A)),
% i(t(
% j(
% j(j(A))),
% quotient(A,
% j(A)))))),
% difference(j(A),
% quotient(t(A,B),
% j(A)))))))) ->
% difference(j(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))),difference(
% j(A),quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))
% Current number of equations to process: 270
% Current number of ordered equations: 0
% Current number of rules: 1474
% New rule produced :
% [2387] difference(A,j(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A))))))) -> A
% Current number of equations to process: 269
% Current number of ordered equations: 0
% Current number of rules: 1475
% New rule produced :
% [2388] quotient(j(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))),A) -> A
% Current number of equations to process: 268
% Current number of ordered equations: 0
% Current number of rules: 1476
% New rule produced :
% [2389]
% difference(quotient(A,j(A)),eta(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))))
% -> t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))
% Current number of equations to process: 266
% Current number of ordered equations: 0
% Current number of rules: 1477
% New rule produced :
% [2390]
% difference(i(i(A)),j(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A))))))) ->
% i(i(A))
% Current number of equations to process: 265
% Current number of ordered equations: 0
% Current number of rules: 1478
% New rule produced :
% [2391]
% quotient(j(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))),i(i(A))) -> i(i(A))
% Current number of equations to process: 264
% Current number of ordered equations: 0
% Current number of rules: 1479
% New rule produced :
% [2392]
% quotient(quotient(difference(A,j(A)),A),j(A)) ->
% j(t(j(j(j(A))),quotient(A,j(A))))
% Rule
% [1178]
% difference(eta(A),difference(A,difference(j(A),quotient(t(A,quotient(
% quotient(
% difference(A,
% j(A)),A),
% j(A))),j(A)))))
% -> j(j(j(A))) collapsed.
% Rule
% [1510]
% difference(j(A),quotient(difference(quotient(quotient(difference(A,j(A)),A),
% j(A)),difference(j(quotient(quotient(
% difference(A,
% j(A)),A),
% j(A))),quotient(
% t(quotient(
% quotient(
% difference(A,
% j(A)),A),
% j(A)),x2),
% j(quotient(
% quotient(
% difference(A,
% j(A)),A),
% j(A)))))),
% quotient(difference(j(j(A)),difference(x2,difference(
% j(x2),quotient(
% t(x2,
% quotient(
% quotient(
% difference(A,
% j(A)),A),
% j(A))),
% j(x2))))),
% quotient(quotient(difference(A,j(A)),A),j(A))))) -> one
% collapsed.
% Rule
% [1674]
% difference(j(j(j(A))),quotient(difference(quotient(quotient(quotient(
% quotient(
% difference(A,
% j(A)),A),
% j(A)),A),
% j(A)),difference(j(quotient(
% quotient(
% quotient(
% quotient(
% difference(A,
% j(A)),A),
% j(A)),A),
% j(A))),quotient(
% t(
% quotient(
% quotient(
% quotient(
% quotient(
% difference(A,
% j(A)),A),
% j(A)),A),
% j(A)),x2),
% j(
% quotient(
% quotient(
% quotient(
% quotient(
% difference(A,
% j(A)),A),
% j(A)),A),
% j(A)))))),
% quotient(difference(j(j(A)),difference(x2,difference(
% j(x2),
% quotient(
% t(x2,
% quotient(
% quotient(
% quotient(
% quotient(
% difference(A,
% j(A)),A),
% j(A)),A),
% j(A))),
% j(x2))))),
% quotient(quotient(quotient(quotient(difference(A,j(A)),A),
% j(A)),A),j(A))))) -> j(eta(A))
% collapsed.
% Rule
% [1800]
% quotient(difference(A,quotient(difference(i(difference(quotient(quotient(
% difference(B,
% j(B)),B),
% j(B)),quotient(
% i(B),quotient(
% difference(
% eta(B),
% quotient(
% quotient(
% difference(B,
% j(B)),B),
% j(B))),
% quotient(
% quotient(
% difference(B,
% j(B)),B),
% j(B)))))),
% quotient(i(B),quotient(difference(eta(B),
% quotient(quotient(
% difference(B,
% j(B)),B),
% j(B))),quotient(
% quotient(
% difference(B,
% j(B)),B),
% j(B))))),
% difference(quotient(quotient(difference(B,j(B)),B),
% j(B)),quotient(i(B),quotient(difference(
% eta(B),
% quotient(
% quotient(
% difference(B,
% j(B)),B),
% j(B))),
% quotient(quotient(
% difference(B,
% j(B)),B),
% j(B))))))),quotient(
% quotient(
% difference(B,
% j(B)),B),
% j(B))) ->
% quotient(difference(A,j(j(j(B)))),quotient(quotient(difference(B,j(B)),B),
% j(B))) collapsed.
% Rule
% [1808]
% difference(difference(quotient(quotient(difference(A,j(A)),A),j(A)),j(A)),
% difference(j(difference(quotient(quotient(difference(A,j(A)),A),j(A)),j(A))),
% quotient(t(difference(quotient(quotient(difference(A,j(A)),A),j(A)),j(A)),
% difference(quotient(quotient(difference(A,j(A)),A),j(A)),quotient(
% quotient(
% difference(A,
% quotient(
% quotient(
% difference(A,B),A),
% j(A))),A),
% j(A)))),
% j(difference(quotient(quotient(difference(A,j(A)),A),j(A)),j(A)))))) ->
% difference(quotient(quotient(difference(A,j(A)),A),j(A)),quotient(quotient(
% difference(A,
% quotient(
% quotient(B,A),
% j(A))),A),
% j(A))) collapsed.
% Rule
% [1956]
% t(i(A),quotient(quotient(difference(A,j(A)),A),j(A))) ->
% t(i(A),difference(A,j(A))) collapsed.
% Rule
% [2081]
% quotient(difference(A,i(t(j(j(j(A))),quotient(A,j(A))))),quotient(quotient(
% difference(A,
% j(A)),A),
% j(A))) -> i(A)
% collapsed.
% Current number of equations to process: 269
% Current number of ordered equations: 0
% Current number of rules: 1473
% Rule [2060]
% quotient(difference(A,i(t(j(j(j(A))),quotient(A,j(A))))),i(A)) ->
% t(i(A),difference(A,j(A))) is composed into [2060]
% quotient(difference(A,
% i(t(j(j(j(A))),
% quotient(A,
% j(A))))),
% i(A)) ->
% t(i(A),j(t(j(j(j(A))),
% quotient(A,
% j(A)))))
% New rule produced :
% [2393]
% t(i(A),difference(A,j(A))) -> t(i(A),j(t(j(j(j(A))),quotient(A,j(A)))))
% Current number of equations to process: 268
% Current number of ordered equations: 0
% Current number of rules: 1474
% New rule produced :
% [2394]
% quotient(difference(j(A),quotient(A,j(A))),j(t(j(j(A)),i(t(j(j(j(A))),
% quotient(A,j(A)))))))
% -> A
% Current number of equations to process: 267
% Current number of ordered equations: 0
% Current number of rules: 1475
% New rule produced :
% [2395]
% quotient(eta(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))),quotient(A,j(A)))
% -> i(quotient(A,j(A)))
% Current number of equations to process: 266
% Current number of ordered equations: 0
% Current number of rules: 1476
% New rule produced :
% [2396]
% quotient(difference(A,i(t(j(j(j(A))),quotient(A,j(A))))),j(t(j(j(j(A))),
% quotient(A,
% j(A))))) ->
% i(A)
% Current number of equations to process: 265
% Current number of ordered equations: 0
% Current number of rules: 1477
% New rule produced :
% [2397]
% difference(j(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))),difference(
% j(A),j(j(j(j(A))))))
% -> eta(A)
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 1478
% New rule produced :
% [2398]
% difference(eta(A),difference(A,difference(j(A),quotient(t(A,j(t(j(j(j(A))),
% quotient(A,
% j(A))))),
% j(A))))) -> j(j(j(A)))
% Current number of equations to process: 261
% Current number of ordered equations: 0
% Current number of rules: 1479
% New rule produced :
% [2399]
% difference(i(i(quotient(A,j(A)))),eta(t(j(j(A)),i(t(j(j(j(A))),quotient(A,
% j(A))))))) ->
% i(quotient(A,j(A)))
% Current number of equations to process: 259
% Current number of ordered equations: 0
% Current number of rules: 1480
% New rule produced :
% [2400]
% quotient(eta(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))),i(i(quotient(A,
% j(A))))) ->
% i(i(i(quotient(A,j(A)))))
% Current number of equations to process: 256
% Current number of ordered equations: 0
% Current number of rules: 1481
% New rule produced :
% [2401]
% quotient(difference(i(A),j(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A))))))),A)
% -> j(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A))))))
% Current number of equations to process: 255
% Current number of ordered equations: 0
% Current number of rules: 1482
% New rule produced :
% [2402]
% quotient(quotient(A,j(A)),j(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A))))))) ->
% eta(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A))))))
% Current number of equations to process: 254
% Current number of ordered equations: 0
% Current number of rules: 1483
% New rule produced :
% [2403]
% difference(A,difference(j(A),quotient(t(A,j(t(j(j(A)),i(t(j(j(j(A))),
% quotient(A,j(A))))))),
% j(A)))) -> difference(j(A),quotient(A,j(A)))
% Current number of equations to process: 253
% Current number of ordered equations: 0
% Current number of rules: 1484
% New rule produced :
% [2404]
% t(j(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))),quotient(A,j(A))) ->
% j(j(j(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A))))))))
% Current number of equations to process: 252
% Current number of ordered equations: 0
% Current number of rules: 1485
% New rule produced :
% [2405]
% quotient(difference(j(A),quotient(quotient(j(t(j(j(A)),i(t(j(j(j(A))),
% quotient(A,j(A)))))),
% j(A)),j(j(A)))),j(j(A))) ->
% quotient(A,j(A))
% Current number of equations to process: 251
% Current number of ordered equations: 0
% Current number of rules: 1486
% New rule produced :
% [2406]
% quotient(difference(j(A),quotient(eta(t(j(j(A)),i(t(j(j(j(A))),quotient(A,
% j(A)))))),
% j(A))),A) ->
% difference(A,j(j(j(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))))))
% Current number of equations to process: 249
% Current number of ordered equations: 0
% Current number of rules: 1487
% New rule produced :
% [2407]
% t(eta(A),difference(j(eta(B)),difference(eta(B),difference(eta(A),difference(A,
% quotient(
% quotient(
% difference(
% j(A),
% i(quotient(
% eta(B),
% j(
% eta(B))))),
% j(A)),
% j(j(A))))))))
% -> i(t(eta(A),quotient(eta(B),j(eta(B)))))
% Current number of equations to process: 247
% Current number of ordered equations: 0
% Current number of rules: 1488
% New rule produced :
% [2408]
% difference(A,difference(B,difference(j(B),quotient(t(B,j(t(j(j(difference(B,A))),
% i(t(j(j(j(difference(B,A)))),
% quotient(difference(B,A),
% j(difference(B,A)))))))),
% j(B))))) ->
% quotient(t(difference(B,A),A),B)
% Current number of equations to process: 246
% Current number of ordered equations: 0
% Current number of rules: 1489
% New rule produced :
% [2409]
% difference(A,difference(quotient(A,B),difference(j(quotient(A,B)),quotient(
% t(quotient(A,B),
% j(t(
% j(j(B)),
% i(
% t(
% j(
% j(j(B))),
% quotient(B,
% j(B))))))),
% j(quotient(A,B))))))
% -> quotient(t(B,A),quotient(A,B))
% Current number of equations to process: 245
% Current number of ordered equations: 0
% Current number of rules: 1490
% New rule produced :
% [2410] quotient(difference(i(i(A)),j(j(j(A)))),j(A)) -> i(i(i(A)))
% Current number of equations to process: 269
% Current number of ordered equations: 0
% Current number of rules: 1491
% New rule produced :
% [2411] quotient(difference(i(A),j(j(j(j(A))))),j(j(A))) -> i(i(A))
% Current number of equations to process: 268
% Current number of ordered equations: 0
% Current number of rules: 1492
% New rule produced :
% [2412]
% quotient(difference(i(difference(A,B)),quotient(A,j(difference(A,B)))),B) ->
% i(i(difference(A,B)))
% Current number of equations to process: 270
% Current number of ordered equations: 0
% Current number of rules: 1493
% New rule produced :
% [2413]
% quotient(difference(i(i(A)),quotient(quotient(B,j(A)),j(j(A)))),B) ->
% i(i(i(A)))
% Current number of equations to process: 269
% Current number of ordered equations: 0
% Current number of rules: 1494
% New rule produced :
% [2414]
% difference(t(i(i(A)),B),difference(i(A),quotient(quotient(B,A),j(A)))) ->
% i(i(A))
% Current number of equations to process: 268
% Current number of ordered equations: 0
% Current number of rules: 1495
% New rule produced :
% [2415]
% difference(i(A),difference(A,quotient(i(i(B)),j(j(A))))) <->
% difference(i(B),quotient(quotient(j(A),B),j(B)))
% Current number of equations to process: 267
% Current number of ordered equations: 1
% Current number of rules: 1496
% New rule produced :
% [2416]
% difference(i(B),quotient(quotient(j(A),B),j(B))) <->
% difference(i(A),difference(A,quotient(i(i(B)),j(j(A)))))
% Rule
% [1456]
% difference(difference(i(quotient(eta(A),j(eta(A)))),quotient(quotient(
% j(eta(A)),
% quotient(
% eta(A),j(eta(A)))),
% j(quotient(eta(A),
% j(eta(A)))))),eta(
% quotient(
% eta(A),
% j(
% eta(A)))))
% -> quotient(eta(A),i(i(quotient(eta(A),j(eta(A)))))) collapsed.
% Current number of equations to process: 268
% Current number of ordered equations: 0
% Current number of rules: 1496
% New rule produced :
% [2417]
% quotient(difference(i(A),quotient(j(B),j(A))),quotient(quotient(difference(B,A),B),
% j(B))) -> i(i(A))
% Current number of equations to process: 267
% Current number of ordered equations: 0
% Current number of rules: 1497
% New rule produced :
% [2418]
% quotient(difference(i(i(A)),quotient(i(A),j(j(A)))),difference(A,j(j(j(A)))))
% -> i(i(i(A)))
% Current number of equations to process: 266
% Current number of ordered equations: 0
% Current number of rules: 1498
% New rule produced :
% [2419]
% quotient(difference(A,quotient(i(i(B)),j(j(A)))),i(A)) <->
% t(i(A),difference(i(B),quotient(quotient(j(A),B),j(B))))
% Current number of equations to process: 265
% Current number of ordered equations: 1
% Current number of rules: 1499
% New rule produced :
% [2420]
% t(i(A),difference(i(B),quotient(quotient(j(A),B),j(B)))) <->
% quotient(difference(A,quotient(i(i(B)),j(j(A)))),i(A))
% Current number of equations to process: 265
% Current number of ordered equations: 0
% Current number of rules: 1500
% New rule produced :
% [2421]
% quotient(quotient(difference(i(A),quotient(quotient(i(B),A),j(A))),j(B)),
% j(j(B))) -> quotient(i(i(A)),B)
% Current number of equations to process: 264
% Current number of ordered equations: 0
% Current number of rules: 1501
% New rule produced :
% [2422]
% quotient(difference(i(A),quotient(quotient(B,A),j(A))),t(i(i(A)),B)) ->
% t(t(i(i(A)),B),i(i(A)))
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 1502
% New rule produced :
% [2423]
% quotient(difference(i(quotient(A,B)),quotient(t(quotient(A,B),B),j(quotient(A,B)))),A)
% -> i(i(quotient(A,B)))
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 1503
% New rule produced :
% [2424]
% quotient(difference(i(A),quotient(quotient(quotient(B,j(A)),j(j(A))),j(A))),
% quotient(B,i(A))) -> i(i(A))
% Current number of equations to process: 261
% Current number of ordered equations: 0
% Current number of rules: 1504
% New rule produced :
% [2425]
% quotient(difference(i(A),quotient(i(B),j(A))),difference(B,quotient(quotient(A,
% j(B)),
% j(j(B))))) ->
% i(i(A))
% Current number of equations to process: 260
% Current number of ordered equations: 0
% Current number of rules: 1505
% New rule produced :
% [2426]
% quotient(difference(i(A),quotient(B,j(A))),difference(B,difference(j(B),
% quotient(t(B,A),
% j(B))))) -> i(i(A))
% Current number of equations to process: 259
% Current number of ordered equations: 0
% Current number of rules: 1506
% New rule produced :
% [2427]
% quotient(difference(A,quotient(i(i(B)),j(j(A)))),difference(i(B),quotient(
% quotient(
% j(A),B),
% j(B)))) ->
% i(A)
% Current number of equations to process: 258
% Current number of ordered equations: 0
% Current number of rules: 1507
% New rule produced :
% [2428]
% difference(t(t(i(i(A)),B),i(i(A))),difference(i(A),quotient(quotient(B,A),
% j(A)))) -> t(i(i(A)),B)
% Current number of equations to process: 257
% Current number of ordered equations: 0
% Current number of rules: 1508
% New rule produced :
% [2429]
% t(eta(A),quotient(B,difference(eta(A),difference(i(C),quotient(quotient(
% eta(A),C),
% j(C)))))) <->
% quotient(t(eta(A),B),i(i(C)))
% Current number of equations to process: 256
% Current number of ordered equations: 1
% Current number of rules: 1509
% New rule produced :
% [2430]
% quotient(t(eta(A),B),i(i(C))) <->
% t(eta(A),quotient(B,difference(eta(A),difference(i(C),quotient(quotient(
% eta(A),C),
% j(C))))))
% Current number of equations to process: 256
% Current number of ordered equations: 0
% Current number of rules: 1510
% New rule produced :
% [2431]
% quotient(difference(i(A),quotient(difference(B,A),j(A))),difference(j(
% difference(B,A)),
% quotient(B,j(
% difference(B,A)))))
% -> i(i(A))
% Current number of equations to process: 255
% Current number of ordered equations: 0
% Current number of rules: 1511
% New rule produced :
% [2432]
% quotient(difference(i(A),quotient(t(A,B),j(A))),difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A))))) ->
% i(i(A))
% Current number of equations to process: 254
% Current number of ordered equations: 0
% Current number of rules: 1512
% New rule produced :
% [2433]
% quotient(difference(i(i(A)),quotient(t(i(A),B),A)),difference(A,quotient(
% quotient(B,
% j(A)),
% j(j(A))))) ->
% i(i(i(A)))
% Current number of equations to process: 253
% Current number of ordered equations: 0
% Current number of rules: 1513
% New rule produced :
% [2434]
% difference(A,difference(j(A),quotient(t(A,difference(i(B),quotient(quotient(A,B),
% j(B)))),j(A)))) ->
% difference(j(A),quotient(i(i(B)),j(A)))
% Current number of equations to process: 252
% Current number of ordered equations: 0
% Current number of rules: 1514
% New rule produced :
% [2435]
% quotient(difference(i(A),quotient(i(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A))))),
% j(A))),difference(B,eta(A))) -> i(i(A))
% Current number of equations to process: 251
% Current number of ordered equations: 0
% Current number of rules: 1515
% New rule produced :
% [2436]
% quotient(difference(i(t(quotient(A,B),B)),quotient(t(t(quotient(A,B),B),
% quotient(A,B)),j(t(
% quotient(A,B),B)))),A)
% -> i(i(t(quotient(A,B),B)))
% Current number of equations to process: 250
% Current number of ordered equations: 0
% Current number of rules: 1516
% New rule produced :
% [2437]
% quotient(difference(i(quotient(A,eta(B))),quotient(t(eta(B),quotient(C,
% difference(
% eta(B),A))),
% j(quotient(A,eta(B))))),t(eta(B),C))
% -> i(i(quotient(A,eta(B))))
% Current number of equations to process: 250
% Current number of ordered equations: 0
% Current number of rules: 1517
% New rule produced :
% [2438]
% t(eta(A),difference(B,difference(eta(A),difference(i(C),quotient(quotient(
% eta(A),C),
% j(C)))))) <->
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% i(
% i(C)),
% j(
% eta(A))))))))
% Current number of equations to process: 249
% Current number of ordered equations: 1
% Current number of rules: 1518
% New rule produced :
% [2439]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% i(
% i(C)),
% j(
% eta(A))))))))
% <->
% t(eta(A),difference(B,difference(eta(A),difference(i(C),quotient(quotient(
% eta(A),C),
% j(C))))))
% Current number of equations to process: 249
% Current number of ordered equations: 0
% Current number of rules: 1519
% New rule produced :
% [2440]
% difference(difference(j(eta(A)),quotient(difference(eta(A),i(i(quotient(
% eta(A),
% j(eta(A)))))),
% eta(A))),eta(quotient(eta(A),j(eta(A))))) ->
% quotient(eta(A),i(i(quotient(eta(A),j(eta(A))))))
% Current number of equations to process: 248
% Current number of ordered equations: 0
% Current number of rules: 1520
% New rule produced : [2441] quotient(j(eta(A)),i(i(i(A)))) -> A
% Current number of equations to process: 256
% Current number of ordered equations: 0
% Current number of rules: 1521
% New rule produced :
% [2442] quotient(j(t(eta(A),B)),i(i(i(A)))) -> t(eta(A),quotient(j(B),j(A)))
% Current number of equations to process: 261
% Current number of ordered equations: 0
% Current number of rules: 1522
% New rule produced :
% [2443] quotient(i(t(eta(A),B)),i(i(i(A)))) -> t(eta(A),quotient(i(B),j(A)))
% Current number of equations to process: 260
% Current number of ordered equations: 0
% Current number of rules: 1523
% New rule produced :
% [2444] i(t(A,i(t(j(A),quotient(A,j(A)))))) -> t(eta(A),quotient(A,j(A)))
% Current number of equations to process: 259
% Current number of ordered equations: 0
% Current number of rules: 1524
% New rule produced :
% [2445]
% t(t(eta(A),quotient(B,j(A))),i(i(i(A)))) ->
% t(eta(A),t(quotient(B,j(A)),j(A)))
% Current number of equations to process: 258
% Current number of ordered equations: 0
% Current number of rules: 1525
% New rule produced :
% [2446]
% quotient(t(eta(A),difference(i(B),quotient(quotient(eta(A),B),j(B)))),
% i(i(B))) -> eta(A)
% Current number of equations to process: 257
% Current number of ordered equations: 0
% Current number of rules: 1526
% New rule produced :
% [2447]
% quotient(difference(eta(A),difference(i(B),quotient(quotient(eta(A),B),j(B)))),
% eta(A)) -> difference(eta(A),i(i(B)))
% Current number of equations to process: 256
% Current number of ordered equations: 0
% Current number of rules: 1527
% New rule produced :
% [2448]
% t(eta(A),quotient(quotient(B,difference(eta(A),C)),j(A))) <->
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),i(i(i(A))))
% Current number of equations to process: 255
% Current number of ordered equations: 1
% Current number of rules: 1528
% New rule produced :
% [2449]
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),i(i(i(A)))) <->
% t(eta(A),quotient(quotient(B,difference(eta(A),C)),j(A)))
% Current number of equations to process: 255
% Current number of ordered equations: 0
% Current number of rules: 1529
% New rule produced :
% [2450]
% quotient(difference(i(A),quotient(i(i(B)),j(A))),difference(i(B),quotient(
% quotient(A,B),
% j(B)))) ->
% i(i(A))
% Current number of equations to process: 254
% Current number of ordered equations: 0
% Current number of rules: 1530
% New rule produced :
% [2451]
% quotient(difference(i(quotient(A,eta(B))),quotient(eta(B),j(quotient(A,
% eta(B))))),
% t(eta(B),A)) -> i(i(quotient(A,eta(B))))
% Current number of equations to process: 252
% Current number of ordered equations: 0
% Current number of rules: 1531
% New rule produced :
% [2452]
% t(eta(A),quotient(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% j(A))) <->
% quotient(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A)))),i(i(i(A))))
% Current number of equations to process: 250
% Current number of ordered equations: 1
% Current number of rules: 1532
% New rule produced :
% [2453]
% quotient(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A)))),i(i(i(A)))) <->
% t(eta(A),quotient(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% j(A)))
% Current number of equations to process: 250
% Current number of ordered equations: 0
% Current number of rules: 1533
% Rule [629] quotient(quotient(eta(A),j(eta(A))),i(i(i(A)))) -> t(i(i(i(A))),A) is composed into
% [629] quotient(quotient(eta(A),j(eta(A))),i(i(i(A)))) -> i(i(i(i(i(i(A))))))
% New rule produced : [2454] t(i(i(i(A))),A) -> i(i(i(i(i(i(A))))))
% Current number of equations to process: 249
% Current number of ordered equations: 0
% Current number of rules: 1534
% New rule produced :
% [2455] quotient(i(i(i(A))),j(t(eta(A),B))) -> t(eta(A),quotient(j(A),j(B)))
% Current number of equations to process: 254
% Current number of ordered equations: 0
% Current number of rules: 1535
% New rule produced :
% [2456] quotient(i(i(i(A))),i(t(eta(A),B))) -> t(eta(A),quotient(j(A),i(B)))
% Current number of equations to process: 253
% Current number of ordered equations: 0
% Current number of rules: 1536
% New rule produced :
% [2457]
% t(eta(A),quotient(j(A),quotient(B,difference(eta(A),C)))) <->
% quotient(i(i(i(A))),quotient(t(eta(A),B),quotient(C,eta(A))))
% Current number of equations to process: 252
% Current number of ordered equations: 1
% Current number of rules: 1537
% New rule produced :
% [2458]
% quotient(i(i(i(A))),quotient(t(eta(A),B),quotient(C,eta(A)))) <->
% t(eta(A),quotient(j(A),quotient(B,difference(eta(A),C))))
% Current number of equations to process: 252
% Current number of ordered equations: 0
% Current number of rules: 1538
% New rule produced :
% [2459]
% t(eta(A),t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))) ->
% t(A,i(t(j(A),quotient(A,j(A)))))
% Current number of equations to process: 251
% Current number of ordered equations: 0
% Current number of rules: 1539
% New rule produced :
% [2460]
% t(eta(A),quotient(j(A),quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))))) <->
% quotient(i(i(i(A))),difference(A,quotient(quotient(difference(j(A),j(j(B))),
% j(A)),j(j(A)))))
% Current number of equations to process: 250
% Current number of ordered equations: 1
% Current number of rules: 1540
% New rule produced :
% [2461]
% quotient(i(i(i(A))),difference(A,quotient(quotient(difference(j(A),j(j(B))),
% j(A)),j(j(A))))) <->
% t(eta(A),quotient(j(A),quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B)))))
% Current number of equations to process: 250
% Current number of ordered equations: 0
% Current number of rules: 1541
% New rule produced :
% [2462] difference(i(i(i(A))),j(eta(A))) -> i(i(i(i(i(i(A))))))
% Current number of equations to process: 254
% Current number of ordered equations: 0
% Current number of rules: 1542
% New rule produced :
% [2463]
% difference(i(i(i(A))),j(t(eta(A),B))) -> t(eta(A),difference(j(A),j(B)))
% Current number of equations to process: 258
% Current number of ordered equations: 0
% Current number of rules: 1543
% New rule produced :
% [2464]
% difference(i(i(i(A))),i(t(eta(A),B))) -> t(eta(A),difference(j(A),i(B)))
% Current number of equations to process: 257
% Current number of ordered equations: 0
% Current number of rules: 1544
% New rule produced :
% [2465]
% difference(i(i(i(A))),quotient(B,eta(A))) ->
% t(eta(A),difference(j(A),difference(eta(A),B)))
% Current number of equations to process: 256
% Current number of ordered equations: 0
% Current number of rules: 1545
% New rule produced :
% [2466]
% t(i(i(i(A))),t(eta(A),difference(j(A),B))) -> t(eta(A),quotient(B,j(A)))
% Current number of equations to process: 255
% Current number of ordered equations: 0
% Current number of rules: 1546
% New rule produced :
% [2467]
% t(eta(A),quotient(j(A),quotient(eta(A),j(eta(A))))) ->
% t(quotient(eta(A),j(eta(A))),j(A))
% Current number of equations to process: 254
% Current number of ordered equations: 0
% Current number of rules: 1547
% New rule produced :
% [2468]
% t(i(A),t(eta(A),quotient(A,j(A)))) ->
% t(eta(A),t(j(j(j(A))),quotient(A,j(A))))
% Current number of equations to process: 253
% Current number of ordered equations: 0
% Current number of rules: 1548
% New rule produced :
% [2469]
% difference(i(i(i(A))),quotient(t(eta(A),B),quotient(C,eta(A)))) ->
% t(eta(A),difference(j(A),quotient(B,difference(eta(A),C))))
% Current number of equations to process: 252
% Current number of ordered equations: 0
% Current number of rules: 1549
% New rule produced :
% [2470]
% difference(i(i(i(A))),quotient(quotient(B,eta(A)),t(eta(A),C))) ->
% t(eta(A),difference(j(A),quotient(difference(eta(A),B),C)))
% Current number of equations to process: 251
% Current number of ordered equations: 0
% Current number of rules: 1550
% New rule produced :
% [2471]
% t(eta(A),difference(j(A),quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))))) <->
% difference(i(i(i(A))),difference(A,quotient(quotient(difference(j(A),j(j(B))),
% j(A)),j(j(A)))))
% Current number of equations to process: 250
% Current number of ordered equations: 1
% Current number of rules: 1551
% New rule produced :
% [2472]
% difference(i(i(i(A))),difference(A,quotient(quotient(difference(j(A),j(j(B))),
% j(A)),j(j(A))))) <->
% t(eta(A),difference(j(A),quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B)))))
% Current number of equations to process: 250
% Current number of ordered equations: 0
% Current number of rules: 1552
% New rule produced :
% [2473]
% quotient(difference(A,j(A)),quotient(quotient(difference(A,j(A)),A),i(A))) ->
% eta(A)
% Current number of equations to process: 261
% Current number of ordered equations: 0
% Current number of rules: 1553
% New rule produced :
% [2474]
% t(eta(A),quotient(quotient(difference(A,j(A)),A),i(A))) ->
% quotient(difference(A,j(A)),eta(A))
% Current number of equations to process: 260
% Current number of ordered equations: 0
% Current number of rules: 1554
% New rule produced :
% [2475]
% difference(i(i(i(A))),eta(quotient(B,eta(A)))) ->
% t(eta(A),difference(j(A),eta(difference(eta(A),B))))
% Current number of equations to process: 259
% Current number of ordered equations: 0
% Current number of rules: 1555
% New rule produced :
% [2476]
% quotient(quotient(i(quotient(eta(A),j(eta(A)))),eta(A)),j(eta(A))) ->
% i(quotient(eta(A),j(eta(A))))
% Rule
% [1973]
% quotient(quotient(quotient(i(quotient(eta(A),j(eta(A)))),eta(A)),j(eta(A))),
% j(eta(A))) -> j(eta(A)) collapsed.
% Current number of equations to process: 258
% Current number of ordered equations: 0
% Current number of rules: 1555
% New rule produced :
% [2477]
% t(eta(A),quotient(B,quotient(quotient(difference(A,j(A)),A),i(A)))) <->
% quotient(t(eta(A),B),quotient(difference(A,j(A)),eta(A)))
% Current number of equations to process: 257
% Current number of ordered equations: 1
% Current number of rules: 1556
% New rule produced :
% [2478]
% quotient(t(eta(A),B),quotient(difference(A,j(A)),eta(A))) <->
% t(eta(A),quotient(B,quotient(quotient(difference(A,j(A)),A),i(A))))
% Current number of equations to process: 257
% Current number of ordered equations: 0
% Current number of rules: 1557
% New rule produced :
% [2479]
% t(eta(A),quotient(quotient(quotient(difference(A,j(A)),A),i(A)),B)) ->
% quotient(quotient(difference(A,j(A)),eta(A)),t(eta(A),B))
% Current number of equations to process: 256
% Current number of ordered equations: 0
% Current number of rules: 1558
% New rule produced :
% [2480]
% t(eta(A),difference(quotient(quotient(difference(A,j(A)),A),i(A)),B)) ->
% difference(quotient(difference(A,j(A)),eta(A)),t(eta(A),B))
% Current number of equations to process: 255
% Current number of ordered equations: 0
% Current number of rules: 1559
% New rule produced :
% [2481]
% quotient(quotient(quotient(quotient(quotient(difference(A,j(A)),A),i(A)),
% eta(A)),j(eta(A))),difference(A,j(A))) -> j(eta(A))
% Current number of equations to process: 254
% Current number of ordered equations: 0
% Current number of rules: 1560
% New rule produced :
% [2482]
% quotient(quotient(quotient(quotient(quotient(difference(A,j(A)),A),i(A)),
% eta(A)),j(eta(A))),j(eta(A))) ->
% t(j(eta(A)),difference(A,j(A)))
% Current number of equations to process: 253
% Current number of ordered equations: 0
% Current number of rules: 1561
% New rule produced :
% [2483]
% difference(eta(A),j(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A))))))) ->
% quotient(quotient(j(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))),j(A)),A)
% Current number of equations to process: 252
% Current number of ordered equations: 0
% Current number of rules: 1562
% New rule produced :
% [2484]
% quotient(quotient(j(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))),i(A)),
% i(i(A))) ->
% quotient(quotient(j(t(j(j(A)),i(t(j(j(j(A))),quotient(A,j(A)))))),j(A)),A)
% Current number of equations to process: 251
% Current number of ordered equations: 0
% Current number of rules: 1563
% New rule produced :
% [2485]
% quotient(difference(j(quotient(quotient(difference(A,j(A)),A),i(A))),
% quotient(eta(A),j(quotient(quotient(difference(A,j(A)),A),i(A))))),
% difference(A,j(A))) -> quotient(quotient(difference(A,j(A)),A),i(A))
% Current number of equations to process: 250
% Current number of ordered equations: 0
% Current number of rules: 1564
% New rule produced :
% [2486]
% difference(i(i(i(i(A)))),j(t(eta(A),B))) -> t(eta(A),difference(A,j(B)))
% Current number of equations to process: 256
% Current number of ordered equations: 0
% Current number of rules: 1565
% New rule produced :
% [2487]
% difference(i(i(i(i(A)))),i(t(eta(A),B))) -> t(eta(A),difference(A,i(B)))
% Current number of equations to process: 255
% Current number of ordered equations: 0
% Current number of rules: 1566
% New rule produced :
% [2488]
% t(eta(A),eta(quotient(quotient(difference(A,j(A)),A),i(A)))) ->
% eta(quotient(difference(A,j(A)),eta(A)))
% Current number of equations to process: 254
% Current number of ordered equations: 0
% Current number of rules: 1567
% New rule produced :
% [2489]
% difference(i(i(i(i(A)))),quotient(t(eta(A),B),quotient(C,eta(A)))) ->
% t(eta(A),difference(A,quotient(B,difference(eta(A),C))))
% Current number of equations to process: 253
% Current number of ordered equations: 0
% Current number of rules: 1568
% New rule produced :
% [2490]
% difference(i(i(i(i(A)))),quotient(quotient(B,eta(A)),t(eta(A),C))) ->
% t(eta(A),difference(A,quotient(difference(eta(A),B),C)))
% Current number of equations to process: 252
% Current number of ordered equations: 0
% Current number of rules: 1569
% New rule produced :
% [2491]
% quotient(difference(j(t(eta(A),difference(A,B))),quotient(i(i(i(i(A)))),
% j(t(eta(A),difference(A,B))))),
% t(eta(A),B)) -> t(eta(A),difference(A,B))
% Current number of equations to process: 251
% Current number of ordered equations: 0
% Current number of rules: 1570
% New rule produced :
% [2492]
% t(eta(A),difference(A,quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))))) <->
% difference(i(i(i(i(A)))),difference(A,quotient(quotient(difference(j(A),
% j(j(B))),j(A)),
% j(j(A)))))
% Current number of equations to process: 250
% Current number of ordered equations: 1
% Current number of rules: 1571
% New rule produced :
% [2493]
% difference(i(i(i(i(A)))),difference(A,quotient(quotient(difference(j(A),
% j(j(B))),j(A)),
% j(j(A))))) <->
% t(eta(A),difference(A,quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B)))))
% Current number of equations to process: 250
% Current number of ordered equations: 0
% Current number of rules: 1572
% New rule produced :
% [2494] difference(i(i(i(i(A)))),quotient(eta(A),j(eta(A)))) -> i(A)
% Current number of equations to process: 251
% Current number of ordered equations: 0
% Current number of rules: 1573
% New rule produced :
% [2495] quotient(j(t(eta(A),B)),i(i(i(i(A))))) -> t(eta(A),quotient(j(B),A))
% Current number of equations to process: 254
% Current number of ordered equations: 0
% Current number of rules: 1574
% New rule produced :
% [2496] quotient(i(t(eta(A),B)),i(i(i(i(A))))) -> t(eta(A),quotient(i(B),A))
% Current number of equations to process: 253
% Current number of ordered equations: 0
% Current number of rules: 1575
% New rule produced :
% [2497]
% difference(i(i(i(i(A)))),eta(quotient(B,eta(A)))) ->
% t(eta(A),difference(A,eta(difference(eta(A),B))))
% Current number of equations to process: 252
% Current number of ordered equations: 0
% Current number of rules: 1576
% New rule produced :
% [2498]
% t(eta(A),quotient(quotient(B,difference(eta(A),C)),A)) <->
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),i(i(i(i(A)))))
% Current number of equations to process: 251
% Current number of ordered equations: 1
% Current number of rules: 1577
% New rule produced :
% [2499]
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),i(i(i(i(A))))) <->
% t(eta(A),quotient(quotient(B,difference(eta(A),C)),A))
% Current number of equations to process: 251
% Current number of ordered equations: 0
% Current number of rules: 1578
% New rule produced :
% [2500]
% t(eta(A),quotient(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),A))
% <->
% quotient(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A)))),i(i(i(i(A)))))
% Current number of equations to process: 250
% Current number of ordered equations: 1
% Current number of rules: 1579
% New rule produced :
% [2501]
% quotient(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A)))),i(i(i(i(A))))) <->
% t(eta(A),quotient(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),A))
% Current number of equations to process: 250
% Current number of ordered equations: 0
% Current number of rules: 1580
% New rule produced :
% [2502] quotient(i(i(i(i(A)))),j(t(eta(A),B))) -> t(eta(A),quotient(A,j(B)))
% Rule
% [2491]
% quotient(difference(j(t(eta(A),difference(A,B))),quotient(i(i(i(i(A)))),
% j(t(eta(A),difference(A,B))))),
% t(eta(A),B)) -> t(eta(A),difference(A,B)) collapsed.
% Current number of equations to process: 254
% Current number of ordered equations: 0
% Current number of rules: 1580
% New rule produced :
% [2503] quotient(i(i(i(i(A)))),i(t(eta(A),B))) -> t(eta(A),quotient(A,i(B)))
% Current number of equations to process: 253
% Current number of ordered equations: 0
% Current number of rules: 1581
% New rule produced :
% [2504]
% quotient(quotient(eta(A),j(eta(A))),i(i(i(i(A))))) -> i(i(i(i(i(i(i(A)))))))
% Current number of equations to process: 252
% Current number of ordered equations: 0
% Current number of rules: 1582
% New rule produced :
% [2505]
% t(eta(A),quotient(A,quotient(B,difference(eta(A),C)))) <->
% quotient(i(i(i(i(A)))),quotient(t(eta(A),B),quotient(C,eta(A))))
% Current number of equations to process: 251
% Current number of ordered equations: 1
% Current number of rules: 1583
% New rule produced :
% [2506]
% quotient(i(i(i(i(A)))),quotient(t(eta(A),B),quotient(C,eta(A)))) <->
% t(eta(A),quotient(A,quotient(B,difference(eta(A),C))))
% Current number of equations to process: 251
% Current number of ordered equations: 0
% Current number of rules: 1584
% New rule produced :
% [2507]
% t(eta(A),quotient(A,quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B)))))
% <->
% quotient(i(i(i(i(A)))),difference(A,quotient(quotient(difference(j(A),
% j(j(B))),j(A)),
% j(j(A)))))
% Current number of equations to process: 250
% Current number of ordered equations: 1
% Current number of rules: 1585
% New rule produced :
% [2508]
% quotient(i(i(i(i(A)))),difference(A,quotient(quotient(difference(j(A),
% j(j(B))),j(A)),
% j(j(A))))) <->
% t(eta(A),quotient(A,quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B)))))
% Current number of equations to process: 250
% Current number of ordered equations: 0
% Current number of rules: 1586
% New rule produced :
% [2509]
% 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: 251
% Current number of ordered equations: 0
% Current number of rules: 1587
% New rule produced :
% [2510]
% i(difference(A,difference(j(A),quotient(t(A,i(i(i(i(i(i(A))))))),j(A))))) ->
% quotient(i(i(i(i(i(A))))),A)
% Current number of equations to process: 250
% Current number of ordered equations: 0
% Current number of rules: 1588
% New rule produced :
% [2511] quotient(quotient(j(j(j(j(A)))),A),j(A)) -> t(j(j(j(A))),A)
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 1589
% New rule produced :
% [2512]
% difference(quotient(quotient(A,B),j(B)),quotient(A,j(j(B)))) -> j(j(j(B)))
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 1590
% Rule [2010]
% quotient(difference(A,quotient(quotient(difference(j(A),difference(B,
% difference(
% j(B),quotient(
% t(B,
% j(A)),
% j(B))))),
% j(A)),j(j(A)))),j(A)) <->
% difference(j(A),difference(j(j(j(A))),quotient(quotient(difference(A,
% quotient(
% quotient(
% difference(A,B),A),
% j(A))),A),
% j(A)))) is composed into [2010]
% quotient(
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% j(A)),
% j(B))))),
% j(A)),
% j(
% j(A)))),
% j(A)) <->
% difference(
% j(A),
% quotient(
% quotient(
% difference(
% j(A),
% difference(A,
% quotient(
% quotient(
% difference(A,B),A),
% j(A)))),
% j(A)),
% j(
% j(A))))
% Rule [1992]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,j(B)),j(A)))),
% j(eta(B))),j(j(j(B)))) <->
% difference(j(B),difference(j(j(j(B))),quotient(quotient(difference(B,
% quotient(
% quotient(
% difference(B,
% quotient(
% quotient(
% difference(
% eta(B),A),
% eta(B)),
% j(eta(B)))),B),
% j(B))),B),
% j(B)))) is composed into [1992]
% quotient(
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% j(B)),
% j(A)))),
% j(
% eta(B))),
% j(
% j(j(B))))
% <->
% difference(
% j(B),
% quotient(
% quotient(
% difference(
% j(B),
% difference(B,
% quotient(
% quotient(
% difference(B,
% quotient(
% quotient(
% difference(
% eta(B),A),
% eta(B)),
% j(
% eta(B)))),B),
% j(B)))),
% j(B)),
% j(
% j(B))))
% Rule [1989]
% quotient(quotient(quotient(difference(eta(A),difference(B,difference(
% j(B),quotient(
% t(B,
% j(
% j(j(A)))),
% j(B))))),
% eta(A)),j(eta(A))),j(j(j(A)))) <->
% difference(j(j(j(A))),quotient(quotient(difference(A,B),A),j(A))) is composed into
% [1989]
% quotient(quotient(quotient(difference(eta(A),difference(B,difference(
% j(B),quotient(
% t(B,j(j(j(A)))),
% j(B))))),
% eta(A)),j(eta(A))),j(j(j(A)))) <->
% quotient(quotient(difference(j(A),difference(A,B)),j(A)),j(j(A)))
% Rule [1507]
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,j(j(j(A)))),
% j(B)))),eta(A)),j(A)) <->
% difference(j(j(j(A))),quotient(quotient(difference(A,difference(A,
% quotient(quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A))))),A),
% j(A))) is composed into [1507]
% quotient(quotient(
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% j(j(j(A)))),
% j(B)))),
% eta(A)),j(A)) <->
% quotient(quotient(
% difference(
% j(A),difference(A,
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A)))))),
% j(A)),j(j(A)))
% New rule produced :
% [2513]
% difference(j(j(j(A))),quotient(quotient(B,A),j(A))) ->
% quotient(quotient(difference(j(A),B),j(A)),j(j(A)))
% Rule
% [1990]
% difference(j(j(j(A))),quotient(quotient(difference(A,B),A),j(A))) <->
% quotient(quotient(quotient(difference(eta(A),difference(B,difference(
% j(B),quotient(
% t(B,j(j(j(A)))),
% j(B))))),
% eta(A)),j(eta(A))),j(j(j(A)))) collapsed.
% Rule
% [1991]
% difference(j(B),difference(j(j(j(B))),quotient(quotient(difference(B,
% quotient(quotient(
% difference(B,
% quotient(
% quotient(
% difference(
% eta(B),A),
% eta(B)),
% j(eta(B)))),B),
% j(B))),B),j(B)))) <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,j(B)),j(A)))),
% j(eta(B))),j(j(j(B)))) collapsed.
% Rule
% [2011]
% difference(j(A),difference(j(j(j(A))),quotient(quotient(difference(A,
% quotient(quotient(
% difference(A,B),A),
% j(A))),A),j(A)))) <->
% quotient(difference(A,quotient(quotient(difference(j(A),difference(B,
% difference(j(B),
% quotient(t(B,j(A)),
% j(B))))),j(A)),
% j(j(A)))),j(A)) collapsed.
% Current number of equations to process: 267
% Current number of ordered equations: 0
% Current number of rules: 1588
% New rule produced :
% [2514]
% quotient(quotient(A,j(j(B))),quotient(quotient(A,B),j(B))) ->
% t(quotient(quotient(A,B),j(B)),j(j(j(B))))
% Current number of equations to process: 266
% Current number of ordered equations: 0
% Current number of rules: 1589
% New rule produced :
% [2515]
% quotient(quotient(quotient(quotient(difference(A,j(j(B))),A),j(A)),B),j(B))
% -> quotient(j(A),j(j(j(B))))
% Current number of equations to process: 265
% Current number of ordered equations: 0
% Current number of rules: 1590
% New rule produced :
% [2516]
% i(t(j(j(j(j(A)))),i(t(j(j(j(A))),quotient(A,j(A)))))) -> quotient(A,j(A))
% Rule
% [2077]
% t(j(j(j(A))),i(t(j(j(j(j(A)))),i(t(j(j(j(A))),quotient(A,j(A))))))) ->
% t(j(j(j(A))),quotient(A,j(A))) collapsed.
% Rule
% [2110]
% t(eta(A),quotient(t(j(j(j(j(j(A))))),i(t(j(j(j(j(j(j(A)))))),i(t(j(j(
% j(
% j(j(A))))),
% i(t(j(
% j(
% j(j(A)))),
% i(t(
% j(
% j(j(A))),
% quotient(A,
% j(A))))))))))),
% j(j(j(j(A)))))) -> j(j(A)) collapsed.
% Rule
% [2111]
% quotient(quotient(t(j(j(j(j(j(A))))),i(t(j(j(j(j(j(j(A)))))),i(t(j(j(
% j(
% j(j(A))))),
% i(t(j(
% j(
% j(j(A)))),
% i(t(
% j(
% j(j(A))),
% quotient(A,
% j(A))))))))))),
% j(j(j(j(A))))),eta(A)) -> j(j(j(j(A)))) collapsed.
% Current number of equations to process: 266
% Current number of ordered equations: 0
% Current number of rules: 1588
% New rule produced :
% [2517]
% difference(t(quotient(quotient(A,B),j(B)),j(j(j(B)))),quotient(A,j(j(B)))) ->
% quotient(quotient(A,B),j(B))
% Current number of equations to process: 265
% Current number of ordered equations: 0
% Current number of rules: 1589
% New rule produced :
% [2518]
% quotient(quotient(difference(A,quotient(quotient(j(j(B)),j(A)),j(j(A)))),B),
% j(B)) -> quotient(i(A),j(j(j(B))))
% Current number of equations to process: 264
% Current number of ordered equations: 0
% Current number of rules: 1590
% New rule produced :
% [2519]
% quotient(quotient(quotient(quotient(difference(j(A),B),j(A)),j(j(A))),A),
% j(A)) -> quotient(t(j(j(A)),B),j(j(j(A))))
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 1591
% New rule produced :
% [2520]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,j(j(B))),j(A)))),B),
% j(B)) -> quotient(A,j(j(j(B))))
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 1592
% New rule produced :
% [2521]
% quotient(difference(j(j(A)),quotient(quotient(quotient(B,A),j(A)),j(j(
% j(j(A)))))),
% quotient(B,j(j(A)))) -> j(A)
% Current number of equations to process: 261
% Current number of ordered equations: 0
% Current number of rules: 1593
% New rule produced :
% [2522]
% quotient(quotient(quotient(difference(A,difference(A,quotient(quotient(
% difference(
% j(A),B),
% j(A)),j(j(A))))),A),
% j(A)),B) -> j(j(j(A)))
% Current number of equations to process: 260
% Current number of ordered equations: 0
% Current number of rules: 1594
% New rule produced :
% [2523]
% quotient(quotient(A,j(j(B))),t(quotient(quotient(A,B),j(B)),j(j(j(B))))) ->
% t(t(quotient(quotient(A,B),j(B)),j(j(j(B)))),quotient(quotient(A,B),j(B)))
% Current number of equations to process: 259
% Current number of ordered equations: 0
% Current number of rules: 1595
% New rule produced :
% [2524]
% quotient(quotient(quotient(difference(A,difference(A,quotient(quotient(
% difference(
% j(A),B),
% j(A)),j(j(A))))),A),
% j(A)),j(j(j(A)))) -> t(j(j(j(A))),B)
% Current number of equations to process: 258
% Current number of ordered equations: 0
% Current number of rules: 1596
% New rule produced :
% [2525]
% difference(t(t(quotient(quotient(A,B),j(B)),j(j(j(B)))),quotient(quotient(A,B),
% j(B))),quotient(A,
% j(j(B)))) ->
% t(quotient(quotient(A,B),j(B)),j(j(j(B))))
% Current number of equations to process: 257
% Current number of ordered equations: 0
% Current number of rules: 1597
% New rule produced :
% [2526]
% t(eta(A),quotient(quotient(difference(B,difference(B,quotient(quotient(
% difference(
% j(B),eta(A)),
% j(B)),j(j(B))))),B),
% j(B))) <->
% difference(eta(A),difference(j(eta(A)),quotient(j(j(j(t(eta(A),B)))),
% j(eta(A)))))
% Current number of equations to process: 256
% Current number of ordered equations: 1
% Current number of rules: 1598
% New rule produced :
% [2527]
% difference(eta(A),difference(j(eta(A)),quotient(j(j(j(t(eta(A),B)))),
% j(eta(A))))) <->
% t(eta(A),quotient(quotient(difference(B,difference(B,quotient(quotient(
% difference(
% j(B),eta(A)),
% j(B)),j(j(B))))),B),
% j(B)))
% Current number of equations to process: 256
% Current number of ordered equations: 0
% Current number of rules: 1599
% New rule produced :
% [2528]
% difference(j(j(j(j(A)))),quotient(quotient(quotient(B,A),j(A)),j(j(j(j(A))))))
% ->
% quotient(quotient(difference(j(A),difference(A,quotient(quotient(difference(A,
% quotient(B,
% j(j(A)))),A),
% j(A)))),j(A)),j(j(A)))
% Current number of equations to process: 255
% Current number of ordered equations: 0
% Current number of rules: 1600
% New rule produced :
% [2529]
% t(eta(A),quotient(t(j(j(j(j(j(A))))),i(t(j(j(j(j(j(j(A)))))),i(t(j(j(
% j(
% j(j(A))))),
% quotient(A,
% j(A))))))),
% j(j(j(j(A)))))) -> j(j(A))
% Current number of equations to process: 252
% Current number of ordered equations: 0
% Current number of rules: 1601
% New rule produced :
% [2530] quotient(t(A,j(j(A))),j(A)) -> quotient(A,j(j(j(A))))
% Rule
% [850]
% difference(A,difference(j(A),quotient(t(A,j(j(A))),j(A)))) ->
% difference(j(A),j(j(j(j(A))))) collapsed.
% Current number of equations to process: 254
% Current number of ordered equations: 0
% Current number of rules: 1601
% Rule [2330]
% difference(j(j(A)),difference(j(j(j(A))),quotient(i(quotient(eta(A),
% j(eta(A)))),
% j(j(j(A)))))) ->
% difference(j(j(j(A))),quotient(i(A),j(j(j(A))))) is composed into
% [2330]
% difference(j(j(A)),difference(j(j(j(A))),quotient(i(quotient(eta(A),j(eta(A)))),
% j(j(j(A)))))) ->
% difference(j(j(j(A))),quotient(eta(A),j(eta(A))))
% New rule produced :
% [2531] quotient(i(A),j(j(j(A)))) -> quotient(eta(A),j(eta(A)))
% Rule
% [2327]
% quotient(difference(j(A),quotient(i(A),j(j(j(A))))),quotient(eta(A),j(eta(A))))
% -> A collapsed.
% Current number of equations to process: 255
% Current number of ordered equations: 0
% Current number of rules: 1601
% New rule produced : [2532] quotient(j(eta(A)),i(i(i(i(i(A)))))) -> i(i(A))
% Current number of equations to process: 259
% Current number of ordered equations: 0
% Current number of rules: 1602
% New rule produced : [2533] difference(i(A),j(eta(A))) -> i(i(i(i(A))))
% Rule [1923] quotient(difference(i(A),j(eta(A))),j(eta(A))) -> i(i(A))
% collapsed.
% Current number of equations to process: 259
% Current number of ordered equations: 0
% Current number of rules: 1602
% New rule produced : [2534] t(i(A),i(i(i(i(A))))) -> j(j(A))
% Current number of equations to process: 259
% Current number of ordered equations: 0
% Current number of rules: 1603
% New rule produced :
% [2535]
% difference(A,difference(j(A),quotient(A,j(j(j(A)))))) ->
% difference(j(A),j(j(j(j(A)))))
% Current number of equations to process: 257
% Current number of ordered equations: 0
% Current number of rules: 1604
% New rule produced :
% [2536] quotient(j(j(j(j(A)))),quotient(eta(A),j(eta(A)))) -> A
% Current number of equations to process: 256
% Current number of ordered equations: 0
% Current number of rules: 1605
% Rule [1099]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,quotient(
% eta(B),
% j(eta(B)))),
% j(A)))),j(j(B))),
% i(B)) <->
% difference(quotient(eta(B),j(eta(B))),difference(B,quotient(quotient(
% quotient(
% quotient(
% difference(
% j(B),A),
% j(B)),
% j(j(B))),
% j(B)),
% j(j(B))))) is composed into
% [1099]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,quotient(
% eta(B),j(eta(B)))),
% j(A)))),j(j(B))),i(B)) <->
% difference(quotient(eta(B),j(eta(B))),difference(B,quotient(quotient(
% quotient(
% quotient(
% difference(
% j(B),A),j(B)),B),
% j(B)),j(j(
% j(j(B)))))))
% New rule produced :
% [2537]
% quotient(quotient(quotient(A,j(j(B))),j(B)),j(j(B))) ->
% quotient(quotient(quotient(A,B),j(B)),j(j(j(j(B)))))
% Rule
% [1098]
% difference(quotient(eta(B),j(eta(B))),difference(B,quotient(quotient(
% quotient(
% quotient(
% difference(
% j(B),A),j(B)),
% j(j(B))),
% j(B)),j(j(B)))))
% <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,quotient(
% eta(B),j(eta(B)))),
% j(A)))),j(j(B))),i(B))
% collapsed.
% Current number of equations to process: 255
% Current number of ordered equations: 0
% Current number of rules: 1605
% New rule produced :
% [2538]
% quotient(quotient(difference(i(A),quotient(quotient(j(j(B)),A),j(A))),B),
% j(B)) -> quotient(i(i(A)),j(j(j(B))))
% Current number of equations to process: 254
% Current number of ordered equations: 0
% Current number of rules: 1606
% New rule produced :
% [2539] difference(i(i(i(i(i(A))))),j(eta(A))) -> i(i(i(i(i(i(i(i(A))))))))
% Current number of equations to process: 255
% Current number of ordered equations: 0
% Current number of rules: 1607
% New rule produced :
% [2540] quotient(j(eta(A)),i(i(i(i(i(i(i(A)))))))) -> i(i(i(i(A))))
% Current number of equations to process: 254
% Current number of ordered equations: 0
% Current number of rules: 1608
% New rule produced :
% [2541]
% quotient(difference(i(i(i(i(i(i(A)))))),j(eta(A))),j(eta(A))) ->
% i(i(i(i(i(i(i(A)))))))
% Current number of equations to process: 253
% Current number of ordered equations: 0
% Current number of rules: 1609
% New rule produced :
% [2542] difference(j(eta(A)),i(i(i(i(i(A)))))) -> i(i(i(i(i(i(i(A)))))))
% Current number of equations to process: 254
% Current number of ordered equations: 0
% Current number of rules: 1610
% New rule produced :
% [2543]
% quotient(difference(i(i(i(i(i(A))))),i(i(A))),i(i(i(i(A))))) ->
% i(i(i(i(i(i(A))))))
% Current number of equations to process: 253
% Current number of ordered equations: 0
% Current number of rules: 1611
% New rule produced : [2544] t(t(eta(A),B),i(i(i(A)))) -> t(eta(A),t(B,j(A)))
% Rule
% [2445]
% t(t(eta(A),quotient(B,j(A))),i(i(i(A)))) ->
% t(eta(A),t(quotient(B,j(A)),j(A))) collapsed.
% Current number of equations to process: 254
% Current number of ordered equations: 0
% Current number of rules: 1611
% New rule produced :
% [2545] t(t(eta(A),B),i(i(i(i(i(A)))))) -> t(eta(A),t(B,i(A)))
% Current number of equations to process: 257
% Current number of ordered equations: 0
% Current number of rules: 1612
% New rule produced :
% [2546] t(j(t(eta(A),B)),i(i(i(i(A))))) -> t(eta(A),t(j(B),A))
% Current number of equations to process: 256
% Current number of ordered equations: 0
% Current number of rules: 1613
% New rule produced :
% [2547] t(i(t(eta(A),B)),i(i(i(i(A))))) -> t(eta(A),t(i(B),A))
% Current number of equations to process: 255
% Current number of ordered equations: 0
% Current number of rules: 1614
% New rule produced :
% [2548]
% t(eta(A),t(quotient(B,difference(eta(A),C)),A)) <->
% t(quotient(t(eta(A),B),quotient(C,eta(A))),i(i(i(i(A)))))
% Current number of equations to process: 254
% Current number of ordered equations: 1
% Current number of rules: 1615
% New rule produced :
% [2549]
% t(quotient(t(eta(A),B),quotient(C,eta(A))),i(i(i(i(A))))) <->
% t(eta(A),t(quotient(B,difference(eta(A),C)),A))
% Current number of equations to process: 254
% Current number of ordered equations: 0
% Current number of rules: 1616
% New rule produced :
% [2550]
% t(eta(A),t(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),A)) <->
% t(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),j(j(A)))),
% i(i(i(i(A)))))
% Current number of equations to process: 254
% Current number of ordered equations: 1
% Current number of rules: 1617
% New rule produced :
% [2551]
% t(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),j(j(A)))),
% i(i(i(i(A))))) <->
% t(eta(A),t(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),A))
% Current number of equations to process: 254
% Current number of ordered equations: 0
% Current number of rules: 1618
% New rule produced : [2552] t(i(i(i(A))),t(eta(A),B)) -> t(eta(A),t(j(A),B))
% Rule
% [2466]
% t(i(i(i(A))),t(eta(A),difference(j(A),B))) -> t(eta(A),quotient(B,j(A)))
% collapsed.
% Current number of equations to process: 258
% Current number of ordered equations: 0
% Current number of rules: 1618
% New rule produced :
% [2553] t(i(i(i(i(i(A))))),t(eta(A),B)) -> t(eta(A),t(i(A),B))
% Current number of equations to process: 261
% Current number of ordered equations: 0
% Current number of rules: 1619
% New rule produced :
% [2554] t(i(i(i(i(A)))),j(t(eta(A),B))) -> t(eta(A),t(A,j(B)))
% Current number of equations to process: 260
% Current number of ordered equations: 0
% Current number of rules: 1620
% New rule produced :
% [2555] t(i(i(i(i(A)))),i(t(eta(A),B))) -> t(eta(A),t(A,i(B)))
% Current number of equations to process: 259
% Current number of ordered equations: 0
% Current number of rules: 1621
% New rule produced :
% [2556]
% t(quotient(eta(A),j(eta(A))),i(i(i(i(A))))) ->
% t(eta(A),t(quotient(eta(A),j(eta(A))),A))
% Current number of equations to process: 258
% Current number of ordered equations: 0
% Current number of rules: 1622
% New rule produced :
% [2557]
% t(eta(A),t(A,quotient(B,difference(eta(A),C)))) <->
% t(i(i(i(i(A)))),quotient(t(eta(A),B),quotient(C,eta(A))))
% Current number of equations to process: 257
% Current number of ordered equations: 1
% Current number of rules: 1623
% New rule produced :
% [2558]
% t(i(i(i(i(A)))),quotient(t(eta(A),B),quotient(C,eta(A)))) <->
% t(eta(A),t(A,quotient(B,difference(eta(A),C))))
% Current number of equations to process: 257
% Current number of ordered equations: 0
% Current number of rules: 1624
% New rule produced :
% [2559]
% t(eta(A),t(A,quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))))) <->
% t(i(i(i(i(A)))),difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A)))))
% Current number of equations to process: 256
% Current number of ordered equations: 1
% Current number of rules: 1625
% New rule produced :
% [2560]
% t(i(i(i(i(A)))),difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A))))) <->
% t(eta(A),t(A,quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B)))))
% Current number of equations to process: 256
% Current number of ordered equations: 0
% Current number of rules: 1626
% New rule produced :
% [2561] 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: 270
% Current number of ordered equations: 0
% Current number of rules: 1627
% New rule produced :
% [2562]
% 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: 269
% Current number of ordered equations: 0
% Current number of rules: 1628
% New rule produced :
% [2563]
% 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: 268
% Current number of ordered equations: 0
% Current number of rules: 1629
% New rule produced :
% [2564]
% t(i(i(i(i(A)))),quotient(eta(A),j(eta(A)))) ->
% t(eta(A),t(A,quotient(eta(A),j(eta(A)))))
% Current number of equations to process: 267
% Current number of ordered equations: 0
% Current number of rules: 1630
% New rule produced :
% [2565]
% t(eta(A),difference(quotient(B,difference(eta(A),C)),j(V_3))) <->
% difference(quotient(t(eta(A),B),quotient(C,eta(A))),j(t(eta(A),V_3)))
% Current number of equations to process: 266
% Current number of ordered equations: 1
% Current number of rules: 1631
% New rule produced :
% [2566]
% difference(quotient(t(eta(A),B),quotient(C,eta(A))),j(t(eta(A),V_3))) <->
% t(eta(A),difference(quotient(B,difference(eta(A),C)),j(V_3)))
% Current number of equations to process: 266
% Current number of ordered equations: 0
% Current number of rules: 1632
% New rule produced :
% [2567]
% t(eta(A),difference(B,difference(eta(A),difference(A,quotient(quotient(
% difference(
% j(A),j(C)),
% j(A)),j(j(A)))))))
% -> t(eta(A),difference(B,j(C)))
% Rule
% [1983]
% t(eta(A),difference(eta(B),difference(eta(A),difference(A,quotient(quotient(
% difference(
% j(A),
% j(
% eta(B))),
% j(A)),
% j(j(A))))))) ->
% i(t(eta(A),quotient(eta(B),j(eta(B))))) collapsed.
% Rule
% [2280]
% t(eta(A),difference(quotient(j(B),eta(A)),difference(eta(A),difference(A,
% quotient(
% quotient(
% difference(
% j(A),j(B)),
% j(A)),j(j(A)))))))
% -> eta(A) collapsed.
% Rule
% [2283]
% t(eta(A),difference(t(quotient(j(B),eta(A)),eta(A)),difference(eta(A),
% difference(A,quotient(
% quotient(
% difference(
% j(A),
% j(B)),
% j(A)),
% j(j(A)))))))
% -> t(eta(A),quotient(j(B),eta(A))) collapsed.
% Rule
% [2284]
% t(eta(A),difference(t(t(quotient(j(B),eta(A)),eta(A)),quotient(j(B),eta(A))),
% difference(eta(A),difference(A,quotient(quotient(difference(
% j(A),j(B)),
% j(A)),j(j(A))))))) ->
% t(eta(A),t(quotient(j(B),eta(A)),eta(A))) collapsed.
% Current number of equations to process: 265
% Current number of ordered equations: 0
% Current number of rules: 1629
% New rule produced :
% [2568]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% j(
% quotient(C,
% eta(A))),
% j(
% eta(A))))))))
% -> t(eta(A),difference(B,j(difference(eta(A),C))))
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 1630
% New rule produced :
% [2569]
% t(eta(A),difference(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% j(C))) <->
% difference(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A)))),j(t(eta(A),C)))
% Current number of equations to process: 262
% Current number of ordered equations: 1
% Current number of rules: 1631
% New rule produced :
% [2570]
% difference(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A)))),j(t(eta(A),C))) <->
% t(eta(A),difference(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% j(C)))
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 1632
% New rule produced :
% [2571]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% j(
% quotient(
% t(
% eta(A),C),
% quotient(V_3,
% eta(A)))),
% j(
% eta(A))))))))
% -> t(eta(A),difference(B,j(quotient(C,difference(eta(A),V_3)))))
% Current number of equations to process: 261
% Current number of ordered equations: 0
% Current number of rules: 1633
% New rule produced :
% [2572]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% j(
% quotient(
% quotient(C,
% eta(A)),
% t(
% eta(A),V_3))),
% j(
% eta(A))))))))
% -> t(eta(A),difference(B,j(quotient(difference(eta(A),C),V_3))))
% Current number of equations to process: 260
% Current number of ordered equations: 0
% Current number of rules: 1634
% New rule produced :
% [2573]
% t(eta(A),difference(B,j(difference(difference(eta(A),C),V_3)))) ->
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% j(
% difference(
% quotient(C,
% eta(A)),
% t(
% eta(A),V_3))),
% j(
% eta(A))))))))
% Current number of equations to process: 259
% Current number of ordered equations: 0
% Current number of rules: 1635
% New rule produced :
% [2574]
% difference(j(t(eta(A),B)),i(i(i(i(A))))) -> t(eta(A),difference(j(B),A))
% Current number of equations to process: 277
% Current number of ordered equations: 0
% Current number of rules: 1636
% Rule [1285]
% t(eta(A),difference(B,difference(j(B),quotient(t(B,difference(eta(A),C)),
% j(B))))) <->
% difference(quotient(C,eta(A)),t(eta(A),difference(j(difference(eta(A),C)),
% quotient(B,j(difference(eta(A),C)))))) is composed into
% [1285]
% t(eta(A),difference(B,difference(j(B),quotient(t(B,difference(eta(A),C)),
% j(B))))) <->
% difference(quotient(C,eta(A)),difference(j(quotient(C,eta(A))),t(eta(A),
% quotient(B,
% j(difference(
% eta(A),C))))))
% New rule produced :
% [2575]
% t(eta(B),difference(j(difference(eta(B),A)),C)) ->
% difference(j(quotient(A,eta(B))),t(eta(B),C))
% Rule
% [1286]
% difference(quotient(C,eta(A)),t(eta(A),difference(j(difference(eta(A),C)),
% quotient(B,j(difference(eta(A),C))))))
% <->
% t(eta(A),difference(B,difference(j(B),quotient(t(B,difference(eta(A),C)),
% j(B))))) collapsed.
% Rule
% [1435]
% difference(quotient(A,eta(B)),t(eta(B),difference(j(difference(eta(B),A)),
% quotient(t(difference(eta(B),A),C),
% j(difference(eta(B),A)))))) ->
% difference(quotient(A,eta(B)),difference(j(quotient(A,eta(B))),quotient(
% t(quotient(A,
% eta(B)),
% t(eta(B),C)),
% j(quotient(A,
% eta(B))))))
% collapsed.
% Rule
% [1705]
% difference(A,t(eta(B),difference(j(difference(eta(B),difference(eta(B),
% difference(j(eta(B)),
% quotient(A,j(eta(B))))))),
% quotient(t(difference(eta(B),difference(eta(B),
% difference(j(eta(B)),
% quotient(A,j(eta(B)))))),C),
% j(difference(eta(B),difference(eta(B),difference(
% j(eta(B)),
% quotient(A,
% j(eta(B)))))))))))
% ->
% difference(j(A),quotient(t(eta(B),quotient(C,difference(eta(B),difference(
% eta(B),
% difference(
% j(eta(B)),
% quotient(A,
% j(eta(B)))))))),
% j(A))) collapsed.
% Rule
% [2297]
% t(eta(B),difference(j(difference(eta(B),A)),eta(B))) ->
% difference(j(quotient(A,eta(B))),eta(B)) collapsed.
% Rule
% [2375]
% difference(quotient(B,eta(A)),t(eta(A),difference(j(difference(eta(A),B)),
% quotient(difference(eta(A),B),
% j(difference(eta(A),B)))))) ->
% t(eta(A),j(t(j(j(difference(eta(A),B))),i(t(j(j(j(difference(eta(A),B)))),
% quotient(difference(eta(A),B),
% j(difference(eta(A),B))))))))
% collapsed.
% Current number of equations to process: 279
% Current number of ordered equations: 0
% Current number of rules: 1632
% New rule produced :
% [2576]
% difference(j(j(t(eta(A),B))),t(eta(A),C)) -> t(eta(A),difference(j(j(B)),C))
% Rule
% [2272]
% difference(j(j(t(eta(A),B))),t(eta(A),quotient(quotient(eta(A),j(B)),j(j(B)))))
% ->
% difference(j(t(eta(A),B)),difference(j(j(t(eta(A),B))),quotient(t(eta(A),
% t(j(B),
% eta(A))),
% j(j(t(eta(A),B))))))
% collapsed.
% Current number of equations to process: 279
% Current number of ordered equations: 0
% Current number of rules: 1632
% New rule produced :
% [2577]
% difference(j(t(eta(A),B)),i(t(eta(A),C))) -> t(eta(A),difference(j(B),i(C)))
% Rule
% [1988]
% difference(j(t(eta(A),eta(B))),i(t(eta(A),quotient(eta(B),j(eta(B)))))) ->
% j(t(eta(A),eta(B))) collapsed.
% Current number of equations to process: 278
% Current number of ordered equations: 0
% Current number of rules: 1632
% New rule produced :
% [2578]
% difference(quotient(eta(A),j(eta(A))),j(t(eta(A),B))) ->
% t(eta(A),difference(quotient(eta(A),j(eta(A))),j(B)))
% Current number of equations to process: 277
% Current number of ordered equations: 0
% Current number of rules: 1633
% New rule produced :
% [2579]
% difference(eta(t(eta(A),B)),t(eta(A),difference(B,j(B)))) ->
% t(eta(A),quotient(quotient(difference(B,j(B)),B),i(B)))
% Current number of equations to process: 276
% Current number of ordered equations: 0
% Current number of rules: 1634
% New rule produced :
% [2580]
% t(eta(A),difference(j(quotient(B,difference(eta(A),C))),V_3)) <->
% difference(j(quotient(t(eta(A),B),quotient(C,eta(A)))),t(eta(A),V_3))
% Current number of equations to process: 274
% Current number of ordered equations: 2
% Current number of rules: 1635
% New rule produced :
% [2581]
% difference(j(quotient(t(eta(A),B),quotient(C,eta(A)))),t(eta(A),V_3)) <->
% t(eta(A),difference(j(quotient(B,difference(eta(A),C))),V_3))
% Current number of equations to process: 274
% Current number of ordered equations: 1
% Current number of rules: 1636
% New rule produced :
% [2582]
% difference(j(t(eta(A),B)),quotient(t(eta(A),C),quotient(V_3,eta(A)))) ->
% t(eta(A),difference(j(B),quotient(C,difference(eta(A),V_3))))
% Current number of equations to process: 274
% Current number of ordered equations: 0
% Current number of rules: 1637
% New rule produced :
% [2583]
% t(eta(B),difference(j(quotient(difference(eta(B),A),C)),V_3)) ->
% difference(j(quotient(quotient(A,eta(B)),t(eta(B),C))),t(eta(B),V_3))
% Rule
% [2301]
% t(eta(B),difference(j(quotient(difference(eta(B),A),C)),eta(B))) ->
% difference(j(quotient(quotient(A,eta(B)),t(eta(B),C))),eta(B)) collapsed.
% Current number of equations to process: 272
% Current number of ordered equations: 1
% Current number of rules: 1637
% New rule produced :
% [2584]
% difference(j(t(eta(A),B)),quotient(quotient(C,eta(A)),t(eta(A),V_3))) ->
% t(eta(A),difference(j(B),quotient(difference(eta(A),C),V_3)))
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 1638
% New rule produced :
% [2585]
% t(eta(A),difference(j(B),difference(difference(eta(A),C),V_3))) <->
% difference(j(t(eta(A),B)),difference(quotient(C,eta(A)),t(eta(A),V_3)))
% Current number of equations to process: 270
% Current number of ordered equations: 2
% Current number of rules: 1639
% New rule produced :
% [2586]
% t(eta(B),difference(j(difference(difference(eta(B),A),C)),V_3)) ->
% difference(j(difference(quotient(A,eta(B)),t(eta(B),C))),t(eta(B),V_3))
% Rule
% [2302]
% t(eta(B),difference(j(difference(difference(eta(B),A),C)),eta(B))) ->
% difference(j(difference(quotient(A,eta(B)),t(eta(B),C))),eta(B)) collapsed.
% Current number of equations to process: 270
% Current number of ordered equations: 1
% Current number of rules: 1639
% New rule produced :
% [2587]
% difference(j(t(eta(A),B)),difference(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),difference(j(B),difference(difference(eta(A),C),V_3)))
% Current number of equations to process: 270
% Current number of ordered equations: 0
% Current number of rules: 1640
% New rule produced :
% [2588]
% quotient(quotient(t(eta(A),quotient(difference(j(B),C),j(B))),j(j(t(eta(A),B)))),
% t(eta(A),C)) -> j(j(t(eta(A),B)))
% Current number of equations to process: 269
% Current number of ordered equations: 0
% Current number of rules: 1641
% New rule produced :
% [2589]
% quotient(quotient(t(eta(A),quotient(difference(j(B),C),j(B))),j(j(t(eta(A),B)))),
% j(j(t(eta(A),B)))) -> t(j(j(t(eta(A),B))),t(eta(A),C))
% Rule
% [2308]
% quotient(quotient(t(eta(A),quotient(difference(j(B),eta(A)),j(B))),j(
% j(
% t(
% eta(A),B)))),
% j(j(t(eta(A),B)))) -> t(j(j(t(eta(A),B))),eta(A)) collapsed.
% Current number of equations to process: 267
% Current number of ordered equations: 0
% Current number of rules: 1641
% New rule produced :
% [2590]
% t(eta(A),difference(j(quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B)))),C)) <->
% difference(j(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A))))),t(eta(A),C))
% Current number of equations to process: 265
% Current number of ordered equations: 3
% Current number of rules: 1642
% New rule produced :
% [2591]
% t(eta(A),difference(j(B),quotient(quotient(difference(j(C),eta(A)),j(C)),
% j(j(C))))) <->
% difference(j(t(eta(A),B)),difference(A,quotient(quotient(difference(j(A),
% j(j(C))),j(A)),
% j(j(A)))))
% Current number of equations to process: 265
% Current number of ordered equations: 2
% Current number of rules: 1643
% New rule produced :
% [2592]
% difference(j(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A))))),t(eta(A),C)) <->
% t(eta(A),difference(j(quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B)))),C))
% Current number of equations to process: 265
% Current number of ordered equations: 1
% Current number of rules: 1644
% New rule produced :
% [2593]
% difference(j(t(eta(A),B)),difference(A,quotient(quotient(difference(j(A),
% j(j(C))),j(A)),
% j(j(A))))) <->
% t(eta(A),difference(j(B),quotient(quotient(difference(j(C),eta(A)),j(C)),
% j(j(C)))))
% Current number of equations to process: 265
% Current number of ordered equations: 0
% Current number of rules: 1645
% New rule produced :
% [2594]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% j(
% eta(
% quotient(C,
% eta(A)))),
% j(
% eta(A))))))))
% -> t(eta(A),difference(B,j(eta(difference(eta(A),C)))))
% Current number of equations to process: 264
% Current number of ordered equations: 0
% Current number of rules: 1646
% New rule produced :
% [2595]
% quotient(difference(j(t(eta(A),difference(j(B),C))),quotient(j(t(eta(A),B)),
% j(t(eta(A),difference(
% j(B),C))))),
% t(eta(A),C)) -> t(eta(A),difference(j(B),C))
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 1647
% New rule produced :
% [2596]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% j(
% quotient(
% eta(A),
% j(
% eta(A)))),
% j(
% eta(A))))))))
% -> t(eta(A),difference(B,j(quotient(eta(A),j(eta(A))))))
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 1648
% New rule produced :
% [2597]
% difference(j(t(eta(A),B)),difference(j(j(t(eta(A),B))),quotient(t(eta(A),
% t(j(B),
% eta(A))),
% j(j(t(eta(A),B))))))
% -> t(eta(A),quotient(quotient(difference(B,eta(A)),B),j(B)))
% Current number of equations to process: 261
% Current number of ordered equations: 0
% Current number of rules: 1649
% New rule produced :
% [2598]
% difference(quotient(A,eta(B)),difference(j(quotient(A,eta(B))),t(eta(B),
% quotient(
% t(difference(
% eta(B),A),C),
% j(difference(
% eta(B),A))))))
% ->
% difference(quotient(A,eta(B)),difference(j(quotient(A,eta(B))),quotient(
% t(quotient(A,
% eta(B)),
% t(eta(B),C)),
% j(quotient(A,
% eta(B))))))
% Current number of equations to process: 260
% Current number of ordered equations: 0
% Current number of rules: 1650
% New rule produced :
% [2599]
% t(eta(A),quotient(B,j(difference(eta(A),C)))) <->
% quotient(t(eta(A),B),j(quotient(C,eta(A))))
% Rule
% [2246]
% t(eta(A),quotient(eta(A),j(difference(eta(A),B)))) ->
% quotient(eta(A),j(quotient(B,eta(A)))) collapsed.
% Current number of equations to process: 280
% Current number of ordered equations: 1
% Current number of rules: 1650
% New rule produced :
% [2600]
% quotient(t(eta(A),B),j(quotient(C,eta(A)))) <->
% t(eta(A),quotient(B,j(difference(eta(A),C))))
% Rule
% [1408]
% difference(j(quotient(A,eta(B))),quotient(t(eta(B),quotient(C,difference(
% eta(B),A))),
% j(quotient(A,eta(B))))) ->
% difference(quotient(A,eta(B)),difference(j(quotient(A,eta(B))),quotient(
% t(quotient(A,
% eta(B)),
% t(eta(B),C)),
% j(quotient(A,
% eta(B))))))
% collapsed.
% Rule
% [2437]
% quotient(difference(i(quotient(A,eta(B))),quotient(t(eta(B),quotient(C,
% difference(
% eta(B),A))),
% j(quotient(A,eta(B))))),t(eta(B),C))
% -> i(i(quotient(A,eta(B)))) collapsed.
% Current number of equations to process: 282
% Current number of ordered equations: 0
% Current number of rules: 1649
% Rule [2310]
% difference(A,quotient(quotient(difference(j(A),j(j(t(eta(A),B)))),j(A)),
% j(j(A)))) <->
% t(eta(A),quotient(t(eta(A),quotient(difference(j(B),eta(A)),j(B))),
% j(j(t(eta(A),B))))) is composed into [2310]
% difference(A,quotient(
% quotient(
% difference(
% j(A),
% j(j(t(
% eta(A),B)))),
% j(A)),
% j(j(A)))) <->
% t(eta(A),t(eta(A),
% quotient(
% quotient(
% difference(
% j(B),eta(A)),
% j(B)),j(j(B)))))
% New rule produced :
% [2601]
% quotient(t(eta(A),B),j(j(t(eta(A),C)))) -> t(eta(A),quotient(B,j(j(C))))
% Rule
% [1208]
% difference(j(j(t(eta(A),B))),quotient(t(eta(A),eta(B)),j(j(t(eta(A),B))))) ->
% t(eta(A),t(j(j(B)),i(t(j(j(j(B))),quotient(B,j(B)))))) collapsed.
% Rule
% [1863]
% t(eta(A),quotient(difference(B,difference(eta(A),difference(eta(A),difference(
% j(
% eta(A)),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(
% difference(
% j(B),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(B))),
% j(
% j(
% t(
% eta(A),B)))),
% j(
% eta(A))))))),C))
% -> i(i(t(eta(A),B))) collapsed.
% Rule
% [2268]
% quotient(t(eta(A),quotient(eta(A),j(B))),j(j(t(eta(A),B)))) ->
% t(eta(A),quotient(quotient(eta(A),j(B)),j(j(B)))) collapsed.
% Rule
% [2305]
% quotient(quotient(t(eta(A),quotient(difference(j(B),eta(A)),j(B))),j(
% j(
% t(
% eta(A),B)))),
% eta(A)) -> j(j(t(eta(A),B))) collapsed.
% Rule
% [2309]
% t(eta(A),quotient(t(eta(A),quotient(difference(j(B),eta(A)),j(B))),j(
% j(
% t(
% eta(A),B)))))
% <->
% difference(A,quotient(quotient(difference(j(A),j(j(t(eta(A),B)))),j(A)),
% j(j(A)))) collapsed.
% Rule
% [2323]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% quotient(
% t(
% eta(A),
% quotient(
% difference(
% i(B),
% eta(A)),
% j(B))),
% j(
% j(
% t(
% eta(A),B)))),
% j(
% eta(A))))))))
% -> eta(A) collapsed.
% Rule
% [2588]
% quotient(quotient(t(eta(A),quotient(difference(j(B),C),j(B))),j(j(t(eta(A),B)))),
% t(eta(A),C)) -> j(j(t(eta(A),B))) collapsed.
% Rule
% [2589]
% quotient(quotient(t(eta(A),quotient(difference(j(B),C),j(B))),j(j(t(eta(A),B)))),
% j(j(t(eta(A),B)))) -> t(j(j(t(eta(A),B))),t(eta(A),C)) collapsed.
% Rule
% [2597]
% difference(j(t(eta(A),B)),difference(j(j(t(eta(A),B))),quotient(t(eta(A),
% t(j(B),
% eta(A))),
% j(j(t(eta(A),B))))))
% -> t(eta(A),quotient(quotient(difference(B,eta(A)),B),j(B))) collapsed.
% Current number of equations to process: 285
% Current number of ordered equations: 1
% Current number of rules: 1641
% New rule produced :
% [2602]
% quotient(j(t(eta(A),B)),j(t(eta(A),C))) -> t(eta(A),quotient(j(B),j(C)))
% Rule
% [1209]
% difference(j(t(eta(A),B)),quotient(j(t(eta(A),eta(B))),j(t(eta(A),B)))) ->
% t(eta(A),difference(j(B),j(j(j(j(B)))))) collapsed.
% Rule
% [2311]
% quotient(difference(j(t(eta(A),difference(j(B),eta(A)))),quotient(j(t(
% eta(A),B)),
% j(t(eta(A),difference(
% j(B),
% eta(A)))))),
% eta(A)) -> t(eta(A),difference(j(B),eta(A))) collapsed.
% Rule
% [2595]
% quotient(difference(j(t(eta(A),difference(j(B),C))),quotient(j(t(eta(A),B)),
% j(t(eta(A),difference(
% j(B),C))))),
% t(eta(A),C)) -> t(eta(A),difference(j(B),C)) collapsed.
% Current number of equations to process: 286
% Current number of ordered equations: 0
% Current number of rules: 1639
% New rule produced :
% [2603]
% quotient(i(t(eta(A),B)),j(t(eta(A),C))) -> t(eta(A),quotient(i(B),j(C)))
% Rule
% [1982]
% quotient(i(t(eta(A),quotient(eta(B),j(eta(B))))),j(t(eta(A),eta(B)))) ->
% j(t(eta(A),eta(B))) collapsed.
% Rule
% [2322]
% quotient(difference(j(t(eta(A),difference(i(B),eta(A)))),quotient(i(t(
% eta(A),B)),
% j(t(eta(A),difference(
% i(B),
% eta(A)))))),
% eta(A)) -> t(eta(A),difference(i(B),eta(A))) collapsed.
% Current number of equations to process: 285
% Current number of ordered equations: 0
% Current number of rules: 1638
% New rule produced :
% [2604]
% t(eta(B),difference(j(eta(difference(eta(B),A))),C)) ->
% difference(j(eta(quotient(A,eta(B)))),t(eta(B),C))
% Current number of equations to process: 283
% Current number of ordered equations: 1
% Current number of rules: 1639
% New rule produced :
% [2605]
% difference(j(t(eta(A),B)),eta(quotient(C,eta(A)))) ->
% t(eta(A),difference(j(B),eta(difference(eta(A),C))))
% Current number of equations to process: 283
% Current number of ordered equations: 0
% Current number of rules: 1640
% New rule produced :
% [2606]
% 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: 280
% Current number of ordered equations: 1
% Current number of rules: 1641
% New rule produced :
% [2607]
% 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: 280
% Current number of ordered equations: 0
% Current number of rules: 1642
% New rule produced :
% [2608]
% difference(j(t(eta(A),B)),j(j(j(j(t(eta(A),B)))))) ->
% t(eta(A),difference(j(B),j(j(j(j(B))))))
% Current number of equations to process: 279
% Current number of ordered equations: 0
% Current number of rules: 1643
% New rule produced :
% [2609]
% t(j(j(j(t(eta(A),B)))),t(eta(A),quotient(B,j(B)))) ->
% t(eta(A),t(j(j(j(B))),quotient(B,j(B))))
% Current number of equations to process: 278
% Current number of ordered equations: 0
% Current number of rules: 1644
% New rule produced :
% [2610]
% t(eta(A),quotient(quotient(B,difference(eta(A),C)),j(V_3))) <->
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),j(t(eta(A),V_3)))
% Current number of equations to process: 276
% Current number of ordered equations: 3
% Current number of rules: 1645
% New rule produced :
% [2611]
% t(eta(A),quotient(B,j(quotient(C,difference(eta(A),V_3))))) <->
% quotient(t(eta(A),B),j(quotient(t(eta(A),C),quotient(V_3,eta(A)))))
% Current number of equations to process: 276
% Current number of ordered equations: 2
% Current number of rules: 1646
% New rule produced :
% [2612]
% quotient(t(eta(A),B),j(quotient(t(eta(A),C),quotient(V_3,eta(A))))) <->
% t(eta(A),quotient(B,j(quotient(C,difference(eta(A),V_3)))))
% Current number of equations to process: 276
% Current number of ordered equations: 1
% Current number of rules: 1647
% New rule produced :
% [2613]
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),j(t(eta(A),V_3))) <->
% t(eta(A),quotient(quotient(B,difference(eta(A),C)),j(V_3)))
% Current number of equations to process: 276
% Current number of ordered equations: 0
% Current number of rules: 1648
% New rule produced :
% [2614]
% t(eta(A),quotient(B,j(quotient(difference(eta(A),C),V_3)))) <->
% quotient(t(eta(A),B),j(quotient(quotient(C,eta(A)),t(eta(A),V_3))))
% Rule
% [2250]
% t(eta(A),quotient(eta(A),j(quotient(difference(eta(A),B),C)))) ->
% quotient(eta(A),j(quotient(quotient(B,eta(A)),t(eta(A),C)))) collapsed.
% Current number of equations to process: 275
% Current number of ordered equations: 1
% Current number of rules: 1648
% New rule produced :
% [2615]
% quotient(t(eta(A),B),j(quotient(quotient(C,eta(A)),t(eta(A),V_3)))) <->
% t(eta(A),quotient(B,j(quotient(difference(eta(A),C),V_3))))
% Current number of equations to process: 275
% Current number of ordered equations: 0
% Current number of rules: 1649
% New rule produced :
% [2616]
% t(eta(A),quotient(B,j(difference(difference(eta(A),C),V_3)))) <->
% quotient(t(eta(A),B),j(difference(quotient(C,eta(A)),t(eta(A),V_3))))
% Rule
% [2251]
% t(eta(A),quotient(eta(A),j(difference(difference(eta(A),B),C)))) ->
% quotient(eta(A),j(difference(quotient(B,eta(A)),t(eta(A),C)))) collapsed.
% Current number of equations to process: 274
% Current number of ordered equations: 1
% Current number of rules: 1649
% New rule produced :
% [2617]
% quotient(t(eta(A),B),j(difference(quotient(C,eta(A)),t(eta(A),V_3)))) <->
% t(eta(A),quotient(B,j(difference(difference(eta(A),C),V_3))))
% Current number of equations to process: 274
% Current number of ordered equations: 0
% Current number of rules: 1650
% New rule produced :
% [2618] 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: 273
% Current number of ordered equations: 0
% Current number of rules: 1651
% New rule produced :
% [2619]
% t(j(j(j(j(t(eta(A),B))))),i(t(eta(A),t(j(j(j(B))),quotient(B,j(B)))))) ->
% t(eta(A),t(j(j(B)),i(t(j(j(j(B))),quotient(B,j(B))))))
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 1652
% New rule produced :
% [2620]
% quotient(difference(i(quotient(A,eta(B))),t(eta(B),quotient(quotient(C,
% difference(
% eta(B),A)),
% j(difference(eta(B),A))))),
% t(eta(B),C)) -> i(i(quotient(A,eta(B))))
% Current number of equations to process: 270
% Current number of ordered equations: 0
% Current number of rules: 1653
% New rule produced :
% [2621]
% t(eta(A),quotient(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% j(C))) <->
% quotient(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A)))),j(t(eta(A),C)))
% Current number of equations to process: 268
% Current number of ordered equations: 3
% Current number of rules: 1654
% New rule produced :
% [2622]
% t(eta(A),quotient(B,j(quotient(quotient(difference(j(C),eta(A)),j(C)),
% j(j(C)))))) <->
% quotient(t(eta(A),B),j(difference(A,quotient(quotient(difference(j(A),
% j(j(C))),j(A)),
% j(j(A))))))
% Current number of equations to process: 268
% Current number of ordered equations: 2
% Current number of rules: 1655
% New rule produced :
% [2623]
% quotient(t(eta(A),B),j(difference(A,quotient(quotient(difference(j(A),
% j(j(C))),j(A)),
% j(j(A)))))) <->
% t(eta(A),quotient(B,j(quotient(quotient(difference(j(C),eta(A)),j(C)),
% j(j(C))))))
% Current number of equations to process: 268
% Current number of ordered equations: 1
% Current number of rules: 1656
% New rule produced :
% [2624]
% quotient(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A)))),j(t(eta(A),C))) <->
% t(eta(A),quotient(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% j(C)))
% Current number of equations to process: 268
% Current number of ordered equations: 0
% Current number of rules: 1657
% New rule produced :
% [2625]
% t(eta(A),difference(B,difference(eta(A),difference(A,quotient(quotient(
% difference(
% j(A),quotient(
% quotient(
% difference(
% i(B),
% eta(A)),
% j(B)),
% j(
% j(B)))),
% j(A)),j(j(A)))))))
% -> eta(A)
% Current number of equations to process: 267
% Current number of ordered equations: 0
% Current number of rules: 1658
% New rule produced :
% [2626]
% difference(j(quotient(A,eta(B))),t(eta(B),quotient(quotient(C,difference(
% eta(B),A)),
% j(difference(eta(B),A))))) ->
% difference(quotient(A,eta(B)),difference(j(quotient(A,eta(B))),quotient(
% t(quotient(A,
% eta(B)),
% t(eta(B),C)),
% j(quotient(A,
% eta(B))))))
% Current number of equations to process: 266
% Current number of ordered equations: 0
% Current number of rules: 1659
% New rule produced :
% [2627]
% t(eta(A),quotient(difference(B,difference(eta(A),difference(A,quotient(
% quotient(
% difference(
% j(A),quotient(
% quotient(C,
% j(B)),
% j(
% j(B)))),
% j(A)),j(j(A)))))),C))
% -> i(t(eta(A),B))
% Rule
% [2271]
% t(eta(A),quotient(difference(B,difference(eta(A),difference(A,quotient(
% quotient(
% difference(
% j(A),quotient(
% quotient(
% eta(A),
% j(B)),
% j(
% j(B)))),
% j(A)),j(j(A)))))),
% eta(A))) -> i(t(eta(A),B)) collapsed.
% Current number of equations to process: 265
% Current number of ordered equations: 0
% Current number of rules: 1659
% New rule produced :
% [2628]
% t(eta(A),difference(i(B),difference(B,difference(eta(A),difference(A,
% quotient(quotient(
% difference(
% j(A),
% quotient(
% quotient(C,
% j(B)),
% j(j(B)))),
% j(A)),
% j(j(A)))))))) ->
% t(eta(A),C)
% Rule
% [2270]
% t(eta(A),difference(i(B),difference(B,difference(eta(A),difference(A,
% quotient(quotient(
% difference(
% j(A),
% quotient(
% quotient(
% eta(A),
% j(B)),
% j(j(B)))),
% j(A)),
% j(j(A)))))))) ->
% eta(A) collapsed.
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 1659
% New rule produced :
% [2629]
% t(eta(B),quotient(j(difference(eta(B),A)),C)) ->
% quotient(j(quotient(A,eta(B))),t(eta(B),C))
% Rule
% [2275]
% t(eta(B),quotient(j(difference(eta(B),A)),eta(B))) ->
% quotient(j(quotient(A,eta(B))),eta(B)) collapsed.
% Current number of equations to process: 277
% Current number of ordered equations: 0
% Current number of rules: 1659
% New rule produced :
% [2630]
% quotient(j(j(t(eta(A),B))),t(eta(A),C)) -> t(eta(A),quotient(j(j(B)),C))
% Rule
% [1290]
% t(eta(A),difference(eta(B),difference(eta(A),difference(eta(A),difference(
% j(eta(A)),
% quotient(
% quotient(
% j(j(t(
% eta(A),B))),
% t(eta(A),
% eta(B))),
% j(eta(A))))))))
% -> j(j(t(eta(A),B))) collapsed.
% Current number of equations to process: 277
% Current number of ordered equations: 0
% Current number of rules: 1659
% New rule produced :
% [2631]
% quotient(j(t(eta(A),B)),i(t(eta(A),C))) -> t(eta(A),quotient(j(B),i(C)))
% Rule
% [1987]
% quotient(j(t(eta(A),eta(B))),i(t(eta(A),quotient(eta(B),j(eta(B)))))) ->
% t(eta(A),eta(B)) collapsed.
% Current number of equations to process: 276
% Current number of ordered equations: 0
% Current number of rules: 1659
% New rule produced :
% [2632]
% t(eta(A),quotient(B,j(eta(difference(eta(A),C))))) <->
% quotient(t(eta(A),B),j(eta(quotient(C,eta(A)))))
% Rule
% [2262]
% t(eta(A),quotient(eta(A),j(eta(difference(eta(A),B))))) ->
% quotient(eta(A),j(eta(quotient(B,eta(A))))) collapsed.
% Current number of equations to process: 275
% Current number of ordered equations: 1
% Current number of rules: 1659
% New rule produced :
% [2633]
% quotient(t(eta(A),B),j(eta(quotient(C,eta(A))))) <->
% t(eta(A),quotient(B,j(eta(difference(eta(A),C)))))
% Current number of equations to process: 275
% Current number of ordered equations: 0
% Current number of rules: 1660
% New rule produced :
% [2634]
% 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: 273
% Current number of ordered equations: 1
% Current number of rules: 1661
% New rule produced :
% [2635]
% 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: 273
% Current number of ordered equations: 0
% Current number of rules: 1662
% New rule produced :
% [2636]
% t(eta(A),quotient(j(quotient(B,difference(eta(A),C))),V_3)) <->
% quotient(j(quotient(t(eta(A),B),quotient(C,eta(A)))),t(eta(A),V_3))
% Current number of equations to process: 271
% Current number of ordered equations: 3
% Current number of rules: 1663
% New rule produced :
% [2637]
% t(eta(A),quotient(j(B),quotient(C,difference(eta(A),V_3)))) <->
% quotient(j(t(eta(A),B)),quotient(t(eta(A),C),quotient(V_3,eta(A))))
% Current number of equations to process: 271
% Current number of ordered equations: 2
% Current number of rules: 1664
% New rule produced :
% [2638]
% quotient(j(quotient(t(eta(A),B),quotient(C,eta(A)))),t(eta(A),V_3)) <->
% t(eta(A),quotient(j(quotient(B,difference(eta(A),C))),V_3))
% Current number of equations to process: 271
% Current number of ordered equations: 1
% Current number of rules: 1665
% New rule produced :
% [2639]
% quotient(j(t(eta(A),B)),quotient(t(eta(A),C),quotient(V_3,eta(A)))) <->
% t(eta(A),quotient(j(B),quotient(C,difference(eta(A),V_3))))
% Current number of equations to process: 271
% Current number of ordered equations: 0
% Current number of rules: 1666
% New rule produced :
% [2640]
% t(eta(A),quotient(j(B),quotient(difference(eta(A),C),V_3))) <->
% quotient(j(t(eta(A),B)),quotient(quotient(C,eta(A)),t(eta(A),V_3)))
% Current number of equations to process: 269
% Current number of ordered equations: 2
% Current number of rules: 1667
% New rule produced :
% [2641]
% t(eta(B),quotient(j(quotient(difference(eta(B),A),C)),V_3)) ->
% quotient(j(quotient(quotient(A,eta(B)),t(eta(B),C))),t(eta(B),V_3))
% Rule
% [2279]
% t(eta(B),quotient(j(quotient(difference(eta(B),A),C)),eta(B))) ->
% quotient(j(quotient(quotient(A,eta(B)),t(eta(B),C))),eta(B)) collapsed.
% Current number of equations to process: 269
% Current number of ordered equations: 1
% Current number of rules: 1667
% New rule produced :
% [2642]
% quotient(j(t(eta(A),B)),quotient(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),quotient(j(B),quotient(difference(eta(A),C),V_3)))
% Current number of equations to process: 269
% Current number of ordered equations: 0
% Current number of rules: 1668
% New rule produced :
% [2643]
% t(eta(A),quotient(j(B),difference(difference(eta(A),C),V_3))) <->
% quotient(j(t(eta(A),B)),difference(quotient(C,eta(A)),t(eta(A),V_3)))
% Current number of equations to process: 267
% Current number of ordered equations: 2
% Current number of rules: 1669
% New rule produced :
% [2644]
% t(eta(B),quotient(j(difference(difference(eta(B),A),C)),V_3)) ->
% quotient(j(difference(quotient(A,eta(B)),t(eta(B),C))),t(eta(B),V_3))
% Current number of equations to process: 267
% Current number of ordered equations: 1
% Current number of rules: 1670
% New rule produced :
% [2645]
% quotient(j(t(eta(A),B)),difference(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),quotient(j(B),difference(difference(eta(A),C),V_3)))
% Current number of equations to process: 267
% Current number of ordered equations: 0
% Current number of rules: 1671
% New rule produced :
% [2646]
% j(t(j(j(t(eta(A),B))),i(t(eta(A),t(j(j(j(B))),quotient(B,j(B))))))) ->
% j(t(eta(A),t(j(j(B)),i(t(j(j(j(B))),quotient(B,j(B)))))))
% Current number of equations to process: 266
% Current number of ordered equations: 0
% Current number of rules: 1672
% New rule produced :
% [2647]
% t(eta(A),quotient(j(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B)))),C))
% <->
% quotient(j(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A))))),t(eta(A),C))
% Current number of equations to process: 264
% Current number of ordered equations: 3
% Current number of rules: 1673
% New rule produced :
% [2648]
% t(eta(A),quotient(j(B),quotient(quotient(difference(j(C),eta(A)),j(C)),
% j(j(C))))) <->
% quotient(j(t(eta(A),B)),difference(A,quotient(quotient(difference(j(A),
% j(j(C))),j(A)),
% j(j(A)))))
% Current number of equations to process: 264
% Current number of ordered equations: 2
% Current number of rules: 1674
% New rule produced :
% [2649]
% quotient(j(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A))))),t(eta(A),C)) <->
% t(eta(A),quotient(j(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B)))),C))
% Current number of equations to process: 264
% Current number of ordered equations: 1
% Current number of rules: 1675
% New rule produced :
% [2650]
% quotient(j(t(eta(A),B)),difference(A,quotient(quotient(difference(j(A),
% j(j(C))),j(A)),
% j(j(A))))) <->
% t(eta(A),quotient(j(B),quotient(quotient(difference(j(C),eta(A)),j(C)),
% j(j(C)))))
% Current number of equations to process: 264
% Current number of ordered equations: 0
% Current number of rules: 1676
% New rule produced :
% [2651]
% t(eta(A),difference(eta(B),difference(eta(A),difference(A,quotient(quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A))))))) ->
% j(j(t(eta(A),B)))
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 1677
% New rule produced :
% [2652] 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: 280
% Current number of ordered equations: 0
% Current number of rules: 1678
% New rule produced :
% [2653]
% 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: 279
% Current number of ordered equations: 0
% Current number of rules: 1679
% New rule produced :
% [2654]
% t(eta(A),quotient(j(B),eta(difference(eta(A),C)))) <->
% quotient(j(t(eta(A),B)),eta(quotient(C,eta(A))))
% Current number of equations to process: 277
% Current number of ordered equations: 2
% Current number of rules: 1680
% New rule produced :
% [2655]
% t(eta(B),quotient(j(eta(difference(eta(B),A))),C)) ->
% quotient(j(eta(quotient(A,eta(B)))),t(eta(B),C))
% Rule
% [2287]
% t(eta(B),quotient(j(eta(difference(eta(B),A))),eta(B))) ->
% quotient(j(eta(quotient(A,eta(B)))),eta(B)) collapsed.
% Current number of equations to process: 277
% Current number of ordered equations: 1
% Current number of rules: 1680
% New rule produced :
% [2656]
% quotient(j(t(eta(A),B)),eta(quotient(C,eta(A)))) <->
% t(eta(A),quotient(j(B),eta(difference(eta(A),C))))
% Current number of equations to process: 277
% Current number of ordered equations: 0
% Current number of rules: 1681
% New rule produced :
% [2657]
% 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: 275
% Current number of ordered equations: 1
% Current number of rules: 1682
% New rule produced :
% [2658]
% 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: 275
% Current number of ordered equations: 0
% Current number of rules: 1683
% New rule produced :
% [2659]
% t(eta(A),difference(quotient(B,difference(eta(A),C)),i(V_3))) <->
% difference(quotient(t(eta(A),B),quotient(C,eta(A))),i(t(eta(A),V_3)))
% Current number of equations to process: 274
% Current number of ordered equations: 1
% Current number of rules: 1684
% New rule produced :
% [2660]
% difference(quotient(t(eta(A),B),quotient(C,eta(A))),i(t(eta(A),V_3))) <->
% t(eta(A),difference(quotient(B,difference(eta(A),C)),i(V_3)))
% Current number of equations to process: 274
% Current number of ordered equations: 0
% Current number of rules: 1685
% New rule produced :
% [2661]
% t(eta(A),difference(B,i(quotient(quotient(difference(j(C),eta(A)),j(C)),
% j(j(C)))))) <->
% t(eta(A),difference(B,difference(eta(A),j(C))))
% Current number of equations to process: 273
% Current number of ordered equations: 1
% Current number of rules: 1686
% New rule produced :
% [2662]
% t(eta(A),difference(B,difference(eta(A),j(C)))) <->
% t(eta(A),difference(B,i(quotient(quotient(difference(j(C),eta(A)),j(C)),
% j(j(C))))))
% Current number of equations to process: 273
% Current number of ordered equations: 0
% Current number of rules: 1687
% New rule produced :
% [2663]
% t(eta(A),difference(B,difference(eta(A),difference(A,quotient(quotient(
% difference(
% j(A),i(C)),
% j(A)),j(j(A)))))))
% -> t(eta(A),difference(B,i(C)))
% Rule
% [2293]
% t(eta(A),difference(quotient(i(B),eta(A)),difference(eta(A),difference(A,
% quotient(
% quotient(
% difference(
% j(A),i(B)),
% j(A)),j(j(A)))))))
% -> eta(A) collapsed.
% Rule
% [2294]
% t(eta(A),difference(t(quotient(i(B),eta(A)),eta(A)),difference(eta(A),
% difference(A,quotient(
% quotient(
% difference(
% j(A),
% i(B)),
% j(A)),
% j(j(A)))))))
% -> t(eta(A),quotient(i(B),eta(A))) collapsed.
% Rule
% [2295]
% t(eta(A),difference(t(t(quotient(i(B),eta(A)),eta(A)),quotient(i(B),eta(A))),
% difference(eta(A),difference(A,quotient(quotient(difference(
% j(A),i(B)),
% j(A)),j(j(A))))))) ->
% t(eta(A),t(quotient(i(B),eta(A)),eta(A))) collapsed.
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 1685
% New rule produced :
% [2664]
% t(j(j(t(eta(A),B))),i(t(eta(A),t(j(j(j(B))),quotient(B,j(B)))))) ->
% t(eta(A),t(j(j(B)),i(t(j(j(j(B))),quotient(B,j(B))))))
% Rule
% [2646]
% j(t(j(j(t(eta(A),B))),i(t(eta(A),t(j(j(j(B))),quotient(B,j(B))))))) ->
% j(t(eta(A),t(j(j(B)),i(t(j(j(j(B))),quotient(B,j(B))))))) collapsed.
% Current number of equations to process: 271
% Current number of ordered equations: 0
% Current number of rules: 1685
% New rule produced :
% [2665]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% i(
% quotient(C,
% eta(A))),
% j(
% eta(A))))))))
% -> t(eta(A),difference(B,i(difference(eta(A),C))))
% Current number of equations to process: 270
% Current number of ordered equations: 0
% Current number of rules: 1686
% New rule produced :
% [2666]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% i(
% i(
% t(
% eta(A),C))),
% j(
% eta(A))))))))
% -> t(eta(A),difference(B,i(i(C))))
% Current number of equations to process: 269
% Current number of ordered equations: 0
% Current number of rules: 1687
% New rule produced :
% [2667]
% t(eta(A),difference(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% i(C))) <->
% difference(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A)))),i(t(eta(A),C)))
% Current number of equations to process: 268
% Current number of ordered equations: 1
% Current number of rules: 1688
% New rule produced :
% [2668]
% difference(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A)))),i(t(eta(A),C))) <->
% t(eta(A),difference(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% i(C)))
% Current number of equations to process: 268
% Current number of ordered equations: 0
% Current number of rules: 1689
% New rule produced :
% [2669]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% i(
% quotient(
% t(
% eta(A),C),
% quotient(V_3,
% eta(A)))),
% j(
% eta(A))))))))
% -> t(eta(A),difference(B,i(quotient(C,difference(eta(A),V_3)))))
% Current number of equations to process: 267
% Current number of ordered equations: 0
% Current number of rules: 1690
% New rule produced :
% [2670]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% i(
% quotient(
% quotient(C,
% eta(A)),
% t(
% eta(A),V_3))),
% j(
% eta(A))))))))
% -> t(eta(A),difference(B,i(quotient(difference(eta(A),C),V_3))))
% Current number of equations to process: 266
% Current number of ordered equations: 0
% Current number of rules: 1691
% New rule produced :
% [2671]
% t(eta(A),difference(B,i(difference(difference(eta(A),C),V_3)))) ->
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% i(
% difference(
% quotient(C,
% eta(A)),
% t(
% eta(A),V_3))),
% j(
% eta(A))))))))
% Current number of equations to process: 265
% Current number of ordered equations: 0
% Current number of rules: 1692
% New rule produced :
% [2672]
% difference(i(t(eta(A),B)),i(i(i(i(A))))) -> t(eta(A),difference(i(B),A))
% Current number of equations to process: 276
% Current number of ordered equations: 0
% Current number of rules: 1693
% New rule produced :
% [2673]
% t(eta(B),difference(i(difference(eta(B),A)),C)) ->
% difference(i(quotient(A,eta(B))),t(eta(B),C))
% Rule
% [2313]
% t(eta(B),difference(i(difference(eta(B),A)),eta(B))) ->
% difference(i(quotient(A,eta(B))),eta(B)) collapsed.
% Current number of equations to process: 275
% Current number of ordered equations: 0
% Current number of rules: 1693
% New rule produced :
% [2674]
% 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: 274
% Current number of ordered equations: 0
% Current number of rules: 1694
% New rule produced :
% [2675]
% difference(quotient(eta(A),j(eta(A))),i(t(eta(A),B))) ->
% t(eta(A),difference(quotient(eta(A),j(eta(A))),i(B)))
% Current number of equations to process: 273
% Current number of ordered equations: 0
% Current number of rules: 1695
% New rule produced :
% [2676]
% t(eta(A),difference(i(quotient(B,difference(eta(A),C))),V_3)) <->
% difference(i(quotient(t(eta(A),B),quotient(C,eta(A)))),t(eta(A),V_3))
% Current number of equations to process: 271
% Current number of ordered equations: 2
% Current number of rules: 1696
% New rule produced :
% [2677]
% difference(i(quotient(t(eta(A),B),quotient(C,eta(A)))),t(eta(A),V_3)) <->
% t(eta(A),difference(i(quotient(B,difference(eta(A),C))),V_3))
% Current number of equations to process: 271
% Current number of ordered equations: 1
% Current number of rules: 1697
% New rule produced :
% [2678]
% difference(i(t(eta(A),B)),quotient(t(eta(A),C),quotient(V_3,eta(A)))) ->
% t(eta(A),difference(i(B),quotient(C,difference(eta(A),V_3))))
% Current number of equations to process: 271
% Current number of ordered equations: 0
% Current number of rules: 1698
% New rule produced :
% [2679]
% t(eta(B),difference(i(quotient(difference(eta(B),A),C)),V_3)) ->
% difference(i(quotient(quotient(A,eta(B)),t(eta(B),C))),t(eta(B),V_3))
% Rule
% [2317]
% t(eta(B),difference(i(quotient(difference(eta(B),A),C)),eta(B))) ->
% difference(i(quotient(quotient(A,eta(B)),t(eta(B),C))),eta(B)) collapsed.
% Current number of equations to process: 269
% Current number of ordered equations: 1
% Current number of rules: 1698
% New rule produced :
% [2680]
% difference(i(t(eta(A),B)),quotient(quotient(C,eta(A)),t(eta(A),V_3))) ->
% t(eta(A),difference(i(B),quotient(difference(eta(A),C),V_3)))
% Current number of equations to process: 269
% Current number of ordered equations: 0
% Current number of rules: 1699
% New rule produced :
% [2681]
% t(eta(A),difference(i(B),difference(difference(eta(A),C),V_3))) <->
% difference(i(t(eta(A),B)),difference(quotient(C,eta(A)),t(eta(A),V_3)))
% Current number of equations to process: 267
% Current number of ordered equations: 2
% Current number of rules: 1700
% New rule produced :
% [2682]
% t(eta(B),difference(i(difference(difference(eta(B),A),C)),V_3)) ->
% difference(i(difference(quotient(A,eta(B)),t(eta(B),C))),t(eta(B),V_3))
% Rule
% [2318]
% t(eta(B),difference(i(difference(difference(eta(B),A),C)),eta(B))) ->
% difference(i(difference(quotient(A,eta(B)),t(eta(B),C))),eta(B)) collapsed.
% Current number of equations to process: 267
% Current number of ordered equations: 1
% Current number of rules: 1700
% New rule produced :
% [2683]
% difference(i(t(eta(A),B)),difference(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),difference(i(B),difference(difference(eta(A),C),V_3)))
% Current number of equations to process: 267
% Current number of ordered equations: 0
% Current number of rules: 1701
% New rule produced :
% [2684]
% t(eta(B),difference(i(quotient(quotient(difference(j(A),eta(B)),j(A)),
% j(j(A)))),C)) ->
% difference(quotient(j(A),eta(B)),t(eta(B),C))
% Rule
% [2319]
% t(eta(B),difference(i(quotient(quotient(difference(j(A),eta(B)),j(A)),
% j(j(A)))),eta(B))) ->
% difference(quotient(j(A),eta(B)),eta(B)) collapsed.
% Current number of equations to process: 266
% Current number of ordered equations: 0
% Current number of rules: 1701
% New rule produced :
% [2685]
% t(eta(A),difference(i(B),quotient(quotient(difference(j(C),eta(A)),j(C)),
% j(j(C))))) <->
% difference(i(t(eta(A),B)),difference(A,quotient(quotient(difference(j(A),
% j(j(C))),j(A)),
% j(j(A)))))
% Current number of equations to process: 265
% Current number of ordered equations: 1
% Current number of rules: 1702
% New rule produced :
% [2686]
% difference(i(t(eta(A),B)),difference(A,quotient(quotient(difference(j(A),
% j(j(C))),j(A)),
% j(j(A))))) <->
% t(eta(A),difference(i(B),quotient(quotient(difference(j(C),eta(A)),j(C)),
% j(j(C)))))
% Current number of equations to process: 265
% Current number of ordered equations: 0
% Current number of rules: 1703
% New rule produced :
% [2687]
% t(eta(A),quotient(B,i(difference(eta(A),C)))) <->
% quotient(t(eta(A),B),i(quotient(C,eta(A))))
% Rule
% [2261]
% t(eta(A),quotient(eta(A),i(difference(eta(A),B)))) ->
% quotient(eta(A),i(quotient(B,eta(A)))) collapsed.
% Current number of equations to process: 275
% Current number of ordered equations: 1
% Current number of rules: 1703
% New rule produced :
% [2688]
% quotient(t(eta(A),B),i(quotient(C,eta(A)))) <->
% t(eta(A),quotient(B,i(difference(eta(A),C))))
% Current number of equations to process: 275
% Current number of ordered equations: 0
% Current number of rules: 1704
% New rule produced :
% [2689]
% 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: 273
% Current number of ordered equations: 1
% Current number of rules: 1705
% New rule produced :
% [2690]
% 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: 273
% Current number of ordered equations: 0
% Current number of rules: 1706
% New rule produced :
% [2691]
% difference(i(t(eta(A),B)),eta(quotient(C,eta(A)))) ->
% t(eta(A),difference(i(B),eta(difference(eta(A),C))))
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 1707
% New rule produced :
% [2692]
% 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: 271
% Current number of ordered equations: 0
% Current number of rules: 1708
% New rule produced :
% [2693]
% t(eta(A),quotient(quotient(B,difference(eta(A),C)),i(V_3))) <->
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),i(t(eta(A),V_3)))
% Current number of equations to process: 269
% Current number of ordered equations: 3
% Current number of rules: 1709
% New rule produced :
% [2694]
% t(eta(A),quotient(B,i(quotient(C,difference(eta(A),V_3))))) <->
% quotient(t(eta(A),B),i(quotient(t(eta(A),C),quotient(V_3,eta(A)))))
% Current number of equations to process: 269
% Current number of ordered equations: 2
% Current number of rules: 1710
% New rule produced :
% [2695]
% quotient(t(eta(A),B),i(quotient(t(eta(A),C),quotient(V_3,eta(A))))) <->
% t(eta(A),quotient(B,i(quotient(C,difference(eta(A),V_3)))))
% Current number of equations to process: 269
% Current number of ordered equations: 1
% Current number of rules: 1711
% New rule produced :
% [2696]
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),i(t(eta(A),V_3))) <->
% t(eta(A),quotient(quotient(B,difference(eta(A),C)),i(V_3)))
% Current number of equations to process: 269
% Current number of ordered equations: 0
% Current number of rules: 1712
% New rule produced :
% [2697]
% t(eta(A),quotient(B,i(quotient(difference(eta(A),C),V_3)))) <->
% quotient(t(eta(A),B),i(quotient(quotient(C,eta(A)),t(eta(A),V_3))))
% Rule
% [2266]
% 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.
% Current number of equations to process: 268
% Current number of ordered equations: 1
% Current number of rules: 1712
% New rule produced :
% [2698]
% quotient(t(eta(A),B),i(quotient(quotient(C,eta(A)),t(eta(A),V_3)))) <->
% t(eta(A),quotient(B,i(quotient(difference(eta(A),C),V_3))))
% Current number of equations to process: 268
% Current number of ordered equations: 0
% Current number of rules: 1713
% New rule produced :
% [2699]
% t(eta(A),quotient(B,i(difference(difference(eta(A),C),V_3)))) <->
% quotient(t(eta(A),B),i(difference(quotient(C,eta(A)),t(eta(A),V_3))))
% Rule
% [2267]
% 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.
% Current number of equations to process: 267
% Current number of ordered equations: 1
% Current number of rules: 1713
% New rule produced :
% [2700]
% quotient(t(eta(A),B),i(difference(quotient(C,eta(A)),t(eta(A),V_3)))) <->
% t(eta(A),quotient(B,i(difference(difference(eta(A),C),V_3))))
% Current number of equations to process: 267
% Current number of ordered equations: 0
% Current number of rules: 1714
% New rule produced :
% [2701]
% t(eta(A),quotient(B,i(quotient(quotient(difference(j(C),eta(A)),j(C)),
% j(j(C)))))) <->
% quotient(t(eta(A),B),quotient(j(C),eta(A)))
% Rule
% [2269]
% t(eta(A),quotient(eta(A),i(quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B)))))) ->
% quotient(eta(A),quotient(j(B),eta(A))) collapsed.
% Current number of equations to process: 266
% Current number of ordered equations: 1
% Current number of rules: 1714
% New rule produced :
% [2702]
% quotient(t(eta(A),B),quotient(j(C),eta(A))) <->
% t(eta(A),quotient(B,i(quotient(quotient(difference(j(C),eta(A)),j(C)),
% j(j(C))))))
% Current number of equations to process: 266
% Current number of ordered equations: 0
% Current number of rules: 1715
% New rule produced :
% [2703]
% t(eta(A),quotient(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% i(C))) <->
% quotient(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A)))),i(t(eta(A),C)))
% Current number of equations to process: 265
% Current number of ordered equations: 1
% Current number of rules: 1716
% New rule produced :
% [2704]
% quotient(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A)))),i(t(eta(A),C))) <->
% t(eta(A),quotient(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% i(C)))
% Current number of equations to process: 265
% Current number of ordered equations: 0
% Current number of rules: 1717
% New rule produced :
% [2705]
% t(eta(B),quotient(i(difference(eta(B),A)),C)) ->
% quotient(i(quotient(A,eta(B))),t(eta(B),C))
% Rule
% [2286]
% t(eta(B),quotient(i(difference(eta(B),A)),eta(B))) ->
% quotient(i(quotient(A,eta(B))),eta(B)) collapsed.
% Current number of equations to process: 275
% Current number of ordered equations: 0
% Current number of rules: 1717
% New rule produced :
% [2706]
% 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: 274
% Current number of ordered equations: 0
% Current number of rules: 1718
% New rule produced :
% [2707]
% 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: 273
% Current number of ordered equations: 0
% Current number of rules: 1719
% New rule produced :
% [2708]
% t(eta(A),quotient(i(quotient(B,difference(eta(A),C))),V_3)) <->
% quotient(i(quotient(t(eta(A),B),quotient(C,eta(A)))),t(eta(A),V_3))
% Current number of equations to process: 271
% Current number of ordered equations: 3
% Current number of rules: 1720
% New rule produced :
% [2709]
% t(eta(A),quotient(i(B),quotient(C,difference(eta(A),V_3)))) <->
% quotient(i(t(eta(A),B)),quotient(t(eta(A),C),quotient(V_3,eta(A))))
% Current number of equations to process: 271
% Current number of ordered equations: 2
% Current number of rules: 1721
% New rule produced :
% [2710]
% quotient(i(quotient(t(eta(A),B),quotient(C,eta(A)))),t(eta(A),V_3)) <->
% t(eta(A),quotient(i(quotient(B,difference(eta(A),C))),V_3))
% Current number of equations to process: 271
% Current number of ordered equations: 1
% Current number of rules: 1722
% New rule produced :
% [2711]
% quotient(i(t(eta(A),B)),quotient(t(eta(A),C),quotient(V_3,eta(A)))) <->
% t(eta(A),quotient(i(B),quotient(C,difference(eta(A),V_3))))
% Current number of equations to process: 271
% Current number of ordered equations: 0
% Current number of rules: 1723
% New rule produced :
% [2712]
% t(eta(A),quotient(i(B),quotient(difference(eta(A),C),V_3))) <->
% quotient(i(t(eta(A),B)),quotient(quotient(C,eta(A)),t(eta(A),V_3)))
% Current number of equations to process: 269
% Current number of ordered equations: 2
% Current number of rules: 1724
% New rule produced :
% [2713]
% t(eta(B),quotient(i(quotient(difference(eta(B),A),C)),V_3)) ->
% quotient(i(quotient(quotient(A,eta(B)),t(eta(B),C))),t(eta(B),V_3))
% Rule
% [2291]
% t(eta(B),quotient(i(quotient(difference(eta(B),A),C)),eta(B))) ->
% quotient(i(quotient(quotient(A,eta(B)),t(eta(B),C))),eta(B)) collapsed.
% Current number of equations to process: 269
% Current number of ordered equations: 1
% Current number of rules: 1724
% New rule produced :
% [2714]
% quotient(i(t(eta(A),B)),quotient(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),quotient(i(B),quotient(difference(eta(A),C),V_3)))
% Current number of equations to process: 269
% Current number of ordered equations: 0
% Current number of rules: 1725
% New rule produced :
% [2715]
% t(eta(A),quotient(i(B),difference(difference(eta(A),C),V_3))) <->
% quotient(i(t(eta(A),B)),difference(quotient(C,eta(A)),t(eta(A),V_3)))
% Current number of equations to process: 267
% Current number of ordered equations: 2
% Current number of rules: 1726
% New rule produced :
% [2716]
% t(eta(B),quotient(i(difference(difference(eta(B),A),C)),V_3)) ->
% quotient(i(difference(quotient(A,eta(B)),t(eta(B),C))),t(eta(B),V_3))
% Current number of equations to process: 267
% Current number of ordered equations: 1
% Current number of rules: 1727
% New rule produced :
% [2717]
% quotient(i(t(eta(A),B)),difference(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),quotient(i(B),difference(difference(eta(A),C),V_3)))
% Current number of equations to process: 267
% Current number of ordered equations: 0
% Current number of rules: 1728
% New rule produced :
% [2718]
% t(eta(B),quotient(i(quotient(quotient(difference(j(A),eta(B)),j(A)),j(j(A)))),C))
% -> quotient(quotient(j(A),eta(B)),t(eta(B),C))
% Rule
% [2292]
% t(eta(B),quotient(i(quotient(quotient(difference(j(A),eta(B)),j(A)),j(j(A)))),
% eta(B))) -> quotient(quotient(j(A),eta(B)),eta(B)) collapsed.
% Current number of equations to process: 266
% Current number of ordered equations: 0
% Current number of rules: 1728
% New rule produced :
% [2719]
% t(eta(A),quotient(i(B),quotient(quotient(difference(j(C),eta(A)),j(C)),
% j(j(C))))) <->
% quotient(i(t(eta(A),B)),difference(A,quotient(quotient(difference(j(A),
% j(j(C))),j(A)),
% j(j(A)))))
% Current number of equations to process: 265
% Current number of ordered equations: 1
% Current number of rules: 1729
% New rule produced :
% [2720]
% quotient(i(t(eta(A),B)),difference(A,quotient(quotient(difference(j(A),
% j(j(C))),j(A)),
% j(j(A))))) <->
% t(eta(A),quotient(i(B),quotient(quotient(difference(j(C),eta(A)),j(C)),
% j(j(C)))))
% Current number of equations to process: 265
% Current number of ordered equations: 0
% Current number of rules: 1730
% New rule produced :
% [2721] quotient(quotient(quotient(difference(i(i(A)),B),A),j(A)),B) -> i(A)
% Current number of equations to process: 276
% Current number of ordered equations: 0
% Current number of rules: 1731
% New rule produced :
% [2722]
% difference(t(A,B),quotient(quotient(difference(i(A),B),j(A)),j(j(A)))) -> A
% Current number of equations to process: 280
% Current number of ordered equations: 0
% Current number of rules: 1732
% New rule produced :
% [2723]
% quotient(quotient(i(t(j(A),quotient(A,j(A)))),i(A)),eta(A)) -> i(i(i(A)))
% Current number of equations to process: 279
% Current number of ordered equations: 0
% Current number of rules: 1733
% New rule produced :
% [2724]
% t(eta(A),quotient(i(B),eta(difference(eta(A),C)))) <->
% quotient(i(t(eta(A),B)),eta(quotient(C,eta(A))))
% Current number of equations to process: 278
% Current number of ordered equations: 1
% Current number of rules: 1734
% New rule produced :
% [2725]
% quotient(i(t(eta(A),B)),eta(quotient(C,eta(A)))) <->
% t(eta(A),quotient(i(B),eta(difference(eta(A),C))))
% Current number of equations to process: 278
% Current number of ordered equations: 0
% Current number of rules: 1735
% New rule produced :
% [2726]
% difference(i(A),difference(A,quotient(B,j(j(A))))) <->
% quotient(quotient(difference(i(B),j(A)),j(B)),j(j(B)))
% Current number of equations to process: 277
% Current number of ordered equations: 1
% Current number of rules: 1736
% New rule produced :
% [2727]
% quotient(quotient(difference(i(B),j(A)),j(B)),j(j(B))) <->
% difference(i(A),difference(A,quotient(B,j(j(A)))))
% Current number of equations to process: 277
% Current number of ordered equations: 0
% Current number of rules: 1737
% New rule produced :
% [2728]
% quotient(quotient(quotient(difference(i(A),B),j(A)),j(j(A))),t(A,B)) ->
% t(t(A,B),A)
% Current number of equations to process: 276
% Current number of ordered equations: 0
% Current number of rules: 1738
% New rule produced :
% [2729]
% 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: 275
% Current number of ordered equations: 0
% Current number of rules: 1739
% New rule produced :
% [2730]
% quotient(quotient(quotient(t(j(A),quotient(A,j(A))),j(A)),j(j(A))),i(i(A)))
% -> A
% Current number of equations to process: 274
% Current number of ordered equations: 0
% Current number of rules: 1740
% New rule produced :
% [2731]
% difference(t(t(A,B),A),quotient(quotient(difference(i(A),B),j(A)),j(j(A))))
% -> t(A,B)
% Current number of equations to process: 273
% Current number of ordered equations: 0
% Current number of rules: 1741
% New rule produced :
% [2732]
% t(i(A),quotient(quotient(difference(i(B),j(A)),j(B)),j(j(B)))) <->
% quotient(difference(A,quotient(B,j(j(A)))),i(A))
% Current number of equations to process: 272
% Current number of ordered equations: 1
% Current number of rules: 1742
% New rule produced :
% [2733]
% quotient(difference(A,quotient(B,j(j(A)))),i(A)) <->
% t(i(A),quotient(quotient(difference(i(B),j(A)),j(B)),j(j(B))))
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 1743
% New rule produced :
% [2734]
% quotient(quotient(quotient(quotient(difference(i(A),i(B)),j(A)),j(j(A))),
% j(B)),j(j(B))) -> quotient(A,B)
% Current number of equations to process: 271
% Current number of ordered equations: 0
% Current number of rules: 1744
% New rule produced :
% [2735]
% quotient(difference(A,quotient(B,j(j(A)))),quotient(quotient(difference(
% i(B),j(A)),
% j(B)),j(j(B)))) ->
% i(A)
% Current number of equations to process: 270
% Current number of ordered equations: 0
% Current number of rules: 1745
% New rule produced :
% [2736]
% t(eta(A),quotient(B,difference(eta(A),quotient(quotient(difference(i(C),
% eta(A)),j(C)),
% j(j(C)))))) <-> quotient(t(eta(A),B),C)
% Current number of equations to process: 269
% Current number of ordered equations: 1
% Current number of rules: 1746
% New rule produced :
% [2737]
% quotient(t(eta(A),B),C) <->
% t(eta(A),quotient(B,difference(eta(A),quotient(quotient(difference(i(C),
% eta(A)),j(C)),
% j(j(C))))))
% Current number of equations to process: 269
% Current number of ordered equations: 0
% Current number of rules: 1747
% New rule produced :
% [2738]
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(difference(
% i(B),A),j(B)),
% j(j(B)))),j(A)))) ->
% difference(j(A),quotient(B,j(A)))
% Current number of equations to process: 268
% Current number of ordered equations: 0
% Current number of rules: 1748
% New rule produced :
% [2739]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(C,
% j(
% eta(A))))))))
% <->
% t(eta(A),difference(B,difference(eta(A),quotient(quotient(difference(
% i(C),eta(A)),
% j(C)),j(j(C))))))
% Current number of equations to process: 267
% Current number of ordered equations: 1
% Current number of rules: 1749
% New rule produced :
% [2740]
% t(eta(A),difference(B,difference(eta(A),quotient(quotient(difference(
% i(C),eta(A)),
% j(C)),j(j(C)))))) <->
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(C,
% j(
% eta(A))))))))
% Current number of equations to process: 267
% Current number of ordered equations: 0
% Current number of rules: 1750
% New rule produced :
% [2741] difference(quotient(i(A),j(j(A))),t(i(A),j(A))) -> A
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 1751
% New rule produced :
% [2742] difference(quotient(quotient(A,B),j(B)),quotient(A,i(i(B)))) -> i(B)
% Current number of equations to process: 277
% Current number of ordered equations: 0
% Current number of rules: 1752
% New rule produced :
% [2743] difference(t(j(j(A)),i(A)),quotient(j(j(j(A))),i(A))) -> A
% Current number of equations to process: 278
% Current number of ordered equations: 0
% Current number of rules: 1753
% New rule produced :
% [2744]
% quotient(quotient(quotient(difference(i(A),j(j(j(A)))),j(A)),A),j(A)) -> A
% Current number of equations to process: 277
% Current number of ordered equations: 0
% Current number of rules: 1754
% New rule produced :
% [2745]
% quotient(t(eta(A),quotient(quotient(difference(i(B),eta(A)),j(B)),j(j(B)))),B)
% -> eta(A)
% Current number of equations to process: 276
% Current number of ordered equations: 0
% Current number of rules: 1755
% New rule produced :
% [2746]
% difference(quotient(j(A),j(j(B))),quotient(quotient(quotient(difference(A,
% j(B)),A),
% j(A)),i(B))) -> B
% Current number of equations to process: 275
% Current number of ordered equations: 0
% Current number of rules: 1756
% New rule produced :
% [2747]
% quotient(difference(eta(A),quotient(quotient(difference(i(B),eta(A)),j(B)),
% j(j(B)))),eta(A)) -> difference(eta(A),B)
% Current number of equations to process: 274
% Current number of ordered equations: 0
% Current number of rules: 1757
% New rule produced :
% [2748]
% quotient(difference(i(A),quotient(B,j(A))),quotient(quotient(difference(
% i(B),A),
% j(B)),j(j(B)))) ->
% i(i(A))
% Current number of equations to process: 273
% Current number of ordered equations: 0
% Current number of rules: 1758
% New rule produced :
% [2749]
% difference(quotient(t(j(A),B),j(j(A))),quotient(quotient(quotient(difference(A,B),A),
% j(A)),i(A))) -> A
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 1759
% New rule produced :
% [2750]
% quotient(quotient(quotient(quotient(difference(i(A),j(j(B))),j(A)),j(j(A))),B),
% j(B)) -> quotient(A,j(j(j(B))))
% Current number of equations to process: 271
% Current number of ordered equations: 0
% Current number of rules: 1760
% New rule produced :
% [2751]
% difference(quotient(i(A),j(j(B))),quotient(difference(A,quotient(quotient(
% j(B),
% j(A)),
% j(j(A)))),i(B))) -> B
% Current number of equations to process: 270
% Current number of ordered equations: 0
% Current number of rules: 1761
% New rule produced :
% [2752]
% difference(quotient(A,j(j(B))),quotient(difference(A,difference(j(A),
% quotient(t(A,j(B)),
% j(A)))),i(B))) -> B
% Current number of equations to process: 269
% Current number of ordered equations: 0
% Current number of rules: 1762
% New rule produced :
% [2753]
% quotient(quotient(quotient(A,quotient(quotient(B,j(A)),j(j(A)))),j(quotient(
% quotient(B,
% j(A)),
% j(
% j(A))))),
% quotient(B,i(A))) -> j(quotient(quotient(B,j(A)),j(j(A))))
% Current number of equations to process: 268
% Current number of ordered equations: 0
% Current number of rules: 1763
% New rule produced :
% [2754]
% quotient(quotient(quotient(A,quotient(quotient(B,j(A)),j(j(A)))),j(quotient(
% quotient(B,
% j(A)),
% j(
% j(A))))),
% j(quotient(quotient(B,j(A)),j(j(A))))) ->
% t(j(quotient(quotient(B,j(A)),j(j(A)))),quotient(B,i(A)))
% Current number of equations to process: 267
% Current number of ordered equations: 0
% Current number of rules: 1764
% New rule produced : [2755] difference(A,quotient(A,j(A))) -> A
% Rule [548] difference(eta(A),quotient(eta(A),j(eta(A)))) -> eta(A) collapsed.
% Current number of equations to process: 269
% Current number of ordered equations: 0
% Current number of rules: 1764
% New rule produced :
% [2756]
% quotient(j(j(t(eta(A),B))),j(eta(A))) ->
% t(eta(A),quotient(j(j(B)),j(eta(A))))
% Rule
% [1556]
% difference(eta(A),difference(j(eta(A)),quotient(j(j(t(eta(A),B))),j(eta(A)))))
% -> difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),j(j(A))))
% collapsed.
% Current number of equations to process: 274
% Current number of ordered equations: 0
% Current number of rules: 1764
% New rule produced :
% [2757]
% t(eta(A),quotient(j(quotient(B,difference(eta(A),C))),j(eta(A)))) <->
% quotient(j(quotient(t(eta(A),B),quotient(C,eta(A)))),j(eta(A)))
% Current number of equations to process: 272
% Current number of ordered equations: 1
% Current number of rules: 1765
% New rule produced :
% [2758]
% quotient(j(quotient(t(eta(A),B),quotient(C,eta(A)))),j(eta(A))) <->
% t(eta(A),quotient(j(quotient(B,difference(eta(A),C))),j(eta(A))))
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 1766
% New rule produced :
% [2759]
% difference(quotient(i(i(A)),j(j(B))),quotient(difference(i(A),quotient(
% quotient(
% j(B),A),
% j(A))),
% i(B))) -> B
% Current number of equations to process: 271
% Current number of ordered equations: 0
% Current number of rules: 1767
% New rule produced :
% [2760]
% difference(quotient(A,j(j(B))),quotient(quotient(quotient(difference(
% i(A),j(B)),
% j(A)),j(j(A))),i(B))) -> B
% Current number of equations to process: 270
% Current number of ordered equations: 0
% Current number of rules: 1768
% New rule produced :
% [2761]
% t(eta(A),quotient(j(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B)))),
% j(eta(A)))) <->
% quotient(j(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A))))),j(eta(A)))
% Current number of equations to process: 269
% Current number of ordered equations: 1
% Current number of rules: 1769
% New rule produced :
% [2762]
% quotient(j(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A))))),j(eta(A))) <->
% t(eta(A),quotient(j(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B)))),
% j(eta(A))))
% Current number of equations to process: 269
% Current number of ordered equations: 0
% Current number of rules: 1770
% New rule produced :
% [2763]
% quotient(i(i(t(eta(A),B))),j(eta(A))) ->
% t(eta(A),quotient(i(i(B)),j(eta(A))))
% Rule
% [722]
% difference(i(A),difference(eta(A),difference(j(eta(A)),quotient(i(i(t(
% eta(A),B))),
% j(eta(A)))))) ->
% difference(j(A),i(i(B))) collapsed.
% Rule
% [1419]
% difference(eta(A),difference(j(eta(A)),quotient(i(i(t(eta(A),B))),j(eta(A)))))
% <->
% t(eta(A),difference(B,quotient(quotient(difference(j(B),difference(B,
% difference(j(B),
% quotient(t(B,eta(A)),
% j(B))))),j(B)),
% j(j(B))))) collapsed.
% Rule
% [1577]
% difference(A,difference(eta(A),difference(j(eta(A)),quotient(i(i(t(eta(A),B))),
% j(eta(A)))))) <->
% quotient(quotient(quotient(difference(A,difference(B,quotient(quotient(
% difference(
% j(B),difference(B,
% difference(
% j(B),
% quotient(
% t(B,A),
% j(B))))),
% j(B)),j(j(B))))),A),
% j(A)),A) collapsed.
% Rule
% [2666]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% i(
% i(
% t(
% eta(A),C))),
% j(
% eta(A))))))))
% -> t(eta(A),difference(B,i(i(C)))) collapsed.
% Current number of equations to process: 274
% Current number of ordered equations: 0
% Current number of rules: 1767
% New rule produced :
% [2764]
% t(eta(A),quotient(j(quotient(eta(A),j(eta(A)))),j(eta(A)))) ->
% quotient(j(quotient(eta(A),j(eta(A)))),j(eta(A)))
% Current number of equations to process: 273
% Current number of ordered equations: 0
% Current number of rules: 1768
% New rule produced :
% [2765]
% t(eta(A),difference(B,quotient(quotient(eta(A),j(B)),j(j(B))))) <->
% difference(A,quotient(quotient(difference(j(A),i(B)),j(A)),j(j(A))))
% Current number of equations to process: 272
% Current number of ordered equations: 1
% Current number of rules: 1769
% New rule produced :
% [2766]
% difference(A,quotient(quotient(difference(j(A),i(B)),j(A)),j(j(A)))) <->
% t(eta(A),difference(B,quotient(quotient(eta(A),j(B)),j(j(B)))))
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 1770
% New rule produced :
% [2767]
% t(eta(A),quotient(i(quotient(B,difference(eta(A),C))),j(eta(A)))) <->
% quotient(i(quotient(t(eta(A),B),quotient(C,eta(A)))),j(eta(A)))
% Current number of equations to process: 271
% Current number of ordered equations: 1
% Current number of rules: 1771
% New rule produced :
% [2768]
% quotient(i(quotient(t(eta(A),B),quotient(C,eta(A)))),j(eta(A))) <->
% t(eta(A),quotient(i(quotient(B,difference(eta(A),C))),j(eta(A))))
% Current number of equations to process: 271
% Current number of ordered equations: 0
% Current number of rules: 1772
% New rule produced :
% [2769]
% t(eta(A),difference(B,quotient(quotient(difference(j(B),difference(B,
% difference(j(B),
% quotient(t(B,eta(A)),
% j(B))))),j(B)),
% j(j(B))))) <->
% difference(A,quotient(quotient(difference(j(A),i(i(B))),j(A)),j(j(A))))
% Current number of equations to process: 270
% Current number of ordered equations: 1
% Current number of rules: 1773
% New rule produced :
% [2770]
% difference(A,quotient(quotient(difference(j(A),i(i(B))),j(A)),j(j(A)))) <->
% t(eta(A),difference(B,quotient(quotient(difference(j(B),difference(B,
% difference(j(B),
% quotient(t(B,eta(A)),
% j(B))))),j(B)),
% j(j(B)))))
% Current number of equations to process: 270
% Current number of ordered equations: 0
% Current number of rules: 1774
% New rule produced :
% [2771]
% 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: 274
% Current number of ordered equations: 0
% Current number of rules: 1775
% New rule produced :
% [2772]
% t(eta(A),quotient(j(eta(A)),j(quotient(B,difference(eta(A),C))))) <->
% quotient(j(eta(A)),j(quotient(t(eta(A),B),quotient(C,eta(A)))))
% Current number of equations to process: 273
% Current number of ordered equations: 1
% Current number of rules: 1776
% New rule produced :
% [2773]
% quotient(j(eta(A)),j(quotient(t(eta(A),B),quotient(C,eta(A))))) <->
% t(eta(A),quotient(j(eta(A)),j(quotient(B,difference(eta(A),C)))))
% Current number of equations to process: 273
% Current number of ordered equations: 0
% Current number of rules: 1777
% New rule produced :
% [2774]
% t(eta(A),difference(B,difference(j(B),quotient(j(eta(A)),j(B))))) <->
% difference(j(eta(A)),quotient(quotient(t(j(eta(A)),B),eta(A)),eta(A)))
% Current number of equations to process: 272
% Current number of ordered equations: 1
% Current number of rules: 1778
% New rule produced :
% [2775]
% difference(j(eta(A)),quotient(quotient(t(j(eta(A)),B),eta(A)),eta(A))) <->
% t(eta(A),difference(B,difference(j(B),quotient(j(eta(A)),j(B)))))
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 1779
% New rule produced :
% [2776]
% t(eta(A),quotient(j(eta(A)),j(quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B)))))) <->
% quotient(j(eta(A)),j(difference(A,quotient(quotient(difference(j(A),j(j(B))),
% j(A)),j(j(A))))))
% Current number of equations to process: 271
% Current number of ordered equations: 1
% Current number of rules: 1780
% New rule produced :
% [2777]
% quotient(j(eta(A)),j(difference(A,quotient(quotient(difference(j(A),j(j(B))),
% j(A)),j(j(A)))))) <->
% t(eta(A),quotient(j(eta(A)),j(quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B))))))
% Current number of equations to process: 271
% Current number of ordered equations: 0
% Current number of rules: 1781
% New rule produced :
% [2778]
% 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: 273
% Current number of ordered equations: 0
% Current number of rules: 1782
% New rule produced :
% [2779]
% 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: 272
% Current number of ordered equations: 0
% Current number of rules: 1783
% New rule produced :
% [2780]
% t(eta(A),quotient(j(eta(A)),i(quotient(B,difference(eta(A),C))))) <->
% quotient(j(eta(A)),i(quotient(t(eta(A),B),quotient(C,eta(A)))))
% Current number of equations to process: 271
% Current number of ordered equations: 1
% Current number of rules: 1784
% New rule produced :
% [2781]
% quotient(j(eta(A)),i(quotient(t(eta(A),B),quotient(C,eta(A))))) <->
% t(eta(A),quotient(j(eta(A)),i(quotient(B,difference(eta(A),C)))))
% Current number of equations to process: 271
% Current number of ordered equations: 0
% Current number of rules: 1785
% New rule produced :
% [2782] t(j(j(t(eta(A),B))),j(eta(A))) -> t(eta(A),t(j(j(B)),j(eta(A))))
% Current number of equations to process: 275
% Current number of ordered equations: 0
% Current number of rules: 1786
% New rule produced :
% [2783]
% difference(j(j(t(eta(A),B))),j(eta(A))) ->
% t(eta(A),difference(j(j(B)),j(eta(A))))
% Current number of equations to process: 274
% Current number of ordered equations: 0
% Current number of rules: 1787
% New rule produced :
% [2784]
% t(eta(A),difference(j(quotient(B,difference(eta(A),C))),j(eta(A)))) <->
% difference(j(quotient(t(eta(A),B),quotient(C,eta(A)))),j(eta(A)))
% Current number of equations to process: 273
% Current number of ordered equations: 1
% Current number of rules: 1788
% New rule produced :
% [2785]
% difference(j(quotient(t(eta(A),B),quotient(C,eta(A)))),j(eta(A))) <->
% t(eta(A),difference(j(quotient(B,difference(eta(A),C))),j(eta(A))))
% Current number of equations to process: 273
% Current number of ordered equations: 0
% Current number of rules: 1789
% New rule produced :
% [2786]
% quotient(difference(j(eta(A)),quotient(quotient(difference(j(B),j(eta(A))),
% eta(A)),eta(A))),j(eta(A))) ->
% t(eta(A),difference(j(B),j(eta(A))))
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 1790
% New rule produced :
% [2787]
% t(eta(A),difference(j(quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B)))),j(eta(A)))) <->
% difference(j(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A))))),j(eta(A)))
% Current number of equations to process: 271
% Current number of ordered equations: 1
% Current number of rules: 1791
% New rule produced :
% [2788]
% difference(j(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A))))),j(eta(A))) <->
% t(eta(A),difference(j(quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B)))),j(eta(A))))
% Current number of equations to process: 271
% Current number of ordered equations: 0
% Current number of rules: 1792
% New rule produced :
% [2789]
% difference(i(i(t(eta(A),B))),j(eta(A))) ->
% t(eta(A),difference(i(i(B)),j(eta(A))))
% Current number of equations to process: 275
% Current number of ordered equations: 0
% Current number of rules: 1793
% New rule produced :
% [2790]
% t(eta(A),difference(j(quotient(eta(A),j(eta(A)))),j(eta(A)))) ->
% difference(j(quotient(eta(A),j(eta(A)))),j(eta(A)))
% Current number of equations to process: 274
% Current number of ordered equations: 0
% Current number of rules: 1794
% New rule produced :
% [2791]
% t(eta(A),difference(i(quotient(B,difference(eta(A),C))),j(eta(A)))) <->
% difference(i(quotient(t(eta(A),B),quotient(C,eta(A)))),j(eta(A)))
% Current number of equations to process: 273
% Current number of ordered equations: 1
% Current number of rules: 1795
% New rule produced :
% [2792]
% difference(i(quotient(t(eta(A),B),quotient(C,eta(A)))),j(eta(A))) <->
% t(eta(A),difference(i(quotient(B,difference(eta(A),C))),j(eta(A))))
% Current number of equations to process: 273
% Current number of ordered equations: 0
% Current number of rules: 1796
% New rule produced :
% [2793]
% quotient(difference(j(eta(A)),quotient(quotient(difference(i(B),j(eta(A))),
% eta(A)),eta(A))),j(eta(A))) ->
% t(eta(A),difference(i(B),j(eta(A))))
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 1797
% New rule produced :
% [2794]
% 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: 278
% Current number of ordered equations: 0
% Current number of rules: 1798
% New rule produced :
% [2795]
% t(eta(A),difference(j(eta(A)),j(difference(eta(A),B)))) ->
% difference(j(eta(A)),j(quotient(B,eta(A))))
% Current number of equations to process: 277
% Current number of ordered equations: 0
% Current number of rules: 1799
% New rule produced :
% [2796]
% t(eta(A),difference(i(quotient(eta(A),j(eta(A)))),j(eta(A)))) ->
% difference(i(quotient(eta(A),j(eta(A)))),j(eta(A)))
% Current number of equations to process: 276
% Current number of ordered equations: 0
% Current number of rules: 1800
% New rule produced :
% [2797]
% t(eta(A),difference(j(eta(A)),j(quotient(B,difference(eta(A),C))))) <->
% difference(j(eta(A)),j(quotient(t(eta(A),B),quotient(C,eta(A)))))
% Current number of equations to process: 275
% Current number of ordered equations: 1
% Current number of rules: 1801
% New rule produced :
% [2798]
% difference(j(eta(A)),j(quotient(t(eta(A),B),quotient(C,eta(A))))) <->
% t(eta(A),difference(j(eta(A)),j(quotient(B,difference(eta(A),C)))))
% Current number of equations to process: 275
% Current number of ordered equations: 0
% Current number of rules: 1802
% New rule produced :
% [2799]
% t(eta(A),difference(j(eta(A)),j(quotient(difference(eta(A),B),C)))) ->
% difference(j(eta(A)),j(quotient(quotient(B,eta(A)),t(eta(A),C))))
% Current number of equations to process: 274
% Current number of ordered equations: 0
% Current number of rules: 1803
% New rule produced :
% [2800]
% t(eta(A),quotient(difference(i(B),difference(B,quotient(difference(j(eta(A)),
% j(B)),j(j(B))))),
% j(B))) -> t(eta(A),difference(j(eta(A)),j(B)))
% Current number of equations to process: 273
% Current number of ordered equations: 0
% Current number of rules: 1804
% New rule produced :
% [2801]
% t(eta(A),difference(j(eta(A)),j(quotient(quotient(difference(j(B),eta(A)),
% j(B)),j(j(B)))))) <->
% difference(j(eta(A)),j(difference(A,quotient(quotient(difference(j(A),
% j(j(B))),j(A)),
% j(j(A))))))
% Current number of equations to process: 272
% Current number of ordered equations: 1
% Current number of rules: 1805
% New rule produced :
% [2802]
% difference(j(eta(A)),j(difference(A,quotient(quotient(difference(j(A),
% j(j(B))),j(A)),
% j(j(A)))))) <->
% t(eta(A),difference(j(eta(A)),j(quotient(quotient(difference(j(B),eta(A)),
% j(B)),j(j(B))))))
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 1806
% New rule produced :
% [2803]
% 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: 278
% Current number of ordered equations: 0
% Current number of rules: 1807
% New rule produced :
% [2804]
% t(eta(A),difference(j(eta(A)),i(difference(eta(A),B)))) ->
% difference(j(eta(A)),i(quotient(B,eta(A))))
% Current number of equations to process: 277
% Current number of ordered equations: 0
% Current number of rules: 1808
% New rule produced :
% [2805]
% t(eta(A),difference(j(eta(A)),j(eta(difference(eta(A),B))))) ->
% difference(j(eta(A)),j(eta(quotient(B,eta(A)))))
% Current number of equations to process: 276
% Current number of ordered equations: 0
% Current number of rules: 1809
% New rule produced :
% [2806]
% 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: 275
% Current number of ordered equations: 0
% Current number of rules: 1810
% New rule produced :
% [2807]
% t(eta(A),difference(j(eta(A)),i(quotient(B,difference(eta(A),C))))) <->
% difference(j(eta(A)),i(quotient(t(eta(A),B),quotient(C,eta(A)))))
% Current number of equations to process: 274
% Current number of ordered equations: 1
% Current number of rules: 1811
% New rule produced :
% [2808]
% difference(j(eta(A)),i(quotient(t(eta(A),B),quotient(C,eta(A))))) <->
% t(eta(A),difference(j(eta(A)),i(quotient(B,difference(eta(A),C)))))
% Current number of equations to process: 274
% Current number of ordered equations: 0
% Current number of rules: 1812
% New rule produced :
% [2809]
% t(eta(A),difference(j(eta(A)),i(quotient(difference(eta(A),B),C)))) ->
% difference(j(eta(A)),i(quotient(quotient(B,eta(A)),t(eta(A),C))))
% Current number of equations to process: 273
% Current number of ordered equations: 0
% Current number of rules: 1813
% New rule produced :
% [2810]
% t(eta(A),difference(j(eta(A)),i(quotient(quotient(difference(j(B),eta(A)),
% j(B)),j(j(B)))))) ->
% difference(j(eta(A)),quotient(j(B),eta(A)))
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 1814
% New rule produced : [2811] t(t(eta(A),B),i(i(A))) -> t(eta(A),t(B,j(j(A))))
% Rule
% [2345]
% t(t(eta(A),quotient(B,j(j(A)))),i(i(A))) ->
% t(eta(A),t(quotient(B,j(j(A))),j(j(A)))) collapsed.
% Rule
% [2357]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% difference(
% j(
% t(
% eta(A),B)),
% quotient(
% t(
% t(
% eta(A),B),
% i(
% i(A))),
% j(
% t(
% eta(A),B)))),
% j(
% eta(A))))))))
% -> t(eta(A),difference(B,difference(j(B),quotient(t(B,j(j(A))),j(B)))))
% collapsed.
% Current number of equations to process: 285
% Current number of ordered equations: 0
% Current number of rules: 1813
% New rule produced :
% [2812]
% difference(eta(A),t(t(eta(A),B),quotient(C,eta(A)))) ->
% quotient(t(B,difference(eta(A),C)),eta(A))
% Current number of equations to process: 288
% Current number of ordered equations: 0
% Current number of rules: 1814
% New rule produced :
% [2813]
% t(eta(A),quotient(eta(A),t(B,difference(eta(A),C)))) <->
% quotient(eta(A),t(t(eta(A),B),quotient(C,eta(A))))
% Current number of equations to process: 287
% Current number of ordered equations: 1
% Current number of rules: 1815
% New rule produced :
% [2814]
% quotient(eta(A),t(t(eta(A),B),quotient(C,eta(A)))) <->
% t(eta(A),quotient(eta(A),t(B,difference(eta(A),C))))
% Current number of equations to process: 287
% Current number of ordered equations: 0
% Current number of rules: 1816
% New rule produced :
% [2815]
% t(eta(A),quotient(t(B,difference(eta(A),C)),eta(A))) <->
% quotient(t(t(eta(A),B),quotient(C,eta(A))),eta(A))
% Current number of equations to process: 286
% Current number of ordered equations: 1
% Current number of rules: 1817
% New rule produced :
% [2816]
% quotient(t(t(eta(A),B),quotient(C,eta(A))),eta(A)) <->
% t(eta(A),quotient(t(B,difference(eta(A),C)),eta(A)))
% Current number of equations to process: 286
% Current number of ordered equations: 0
% Current number of rules: 1818
% New rule produced :
% [2817]
% t(eta(A),t(t(B,difference(eta(A),C)),V_3)) <->
% t(t(t(eta(A),B),quotient(C,eta(A))),t(eta(A),V_3))
% Current number of equations to process: 284
% Current number of ordered equations: 3
% Current number of rules: 1819
% New rule produced :
% [2818]
% t(eta(A),t(B,t(C,difference(eta(A),V_3)))) <->
% t(t(eta(A),B),t(t(eta(A),C),quotient(V_3,eta(A))))
% Current number of equations to process: 284
% Current number of ordered equations: 2
% Current number of rules: 1820
% New rule produced :
% [2819]
% t(t(eta(A),B),t(t(eta(A),C),quotient(V_3,eta(A)))) <->
% t(eta(A),t(B,t(C,difference(eta(A),V_3))))
% Current number of equations to process: 284
% Current number of ordered equations: 1
% Current number of rules: 1821
% New rule produced :
% [2820]
% t(t(t(eta(A),B),quotient(C,eta(A))),t(eta(A),V_3)) <->
% t(eta(A),t(t(B,difference(eta(A),C)),V_3))
% Current number of equations to process: 284
% Current number of ordered equations: 0
% Current number of rules: 1822
% New rule produced :
% [2821]
% t(eta(A),difference(t(B,difference(eta(A),C)),V_3)) <->
% difference(t(t(eta(A),B),quotient(C,eta(A))),t(eta(A),V_3))
% Current number of equations to process: 283
% Current number of ordered equations: 1
% Current number of rules: 1823
% New rule produced :
% [2822]
% difference(t(t(eta(A),B),quotient(C,eta(A))),t(eta(A),V_3)) <->
% t(eta(A),difference(t(B,difference(eta(A),C)),V_3))
% Current number of equations to process: 283
% Current number of ordered equations: 0
% Current number of rules: 1824
% New rule produced :
% [2823]
% t(eta(A),quotient(t(B,difference(eta(A),C)),V_3)) <->
% quotient(t(t(eta(A),B),quotient(C,eta(A))),t(eta(A),V_3))
% Current number of equations to process: 281
% Current number of ordered equations: 3
% Current number of rules: 1825
% New rule produced :
% [2824]
% t(eta(A),quotient(B,t(C,difference(eta(A),V_3)))) <->
% quotient(t(eta(A),B),t(t(eta(A),C),quotient(V_3,eta(A))))
% Current number of equations to process: 281
% Current number of ordered equations: 2
% Current number of rules: 1826
% New rule produced :
% [2825]
% quotient(t(eta(A),B),t(t(eta(A),C),quotient(V_3,eta(A)))) <->
% t(eta(A),quotient(B,t(C,difference(eta(A),V_3))))
% Current number of equations to process: 281
% Current number of ordered equations: 1
% Current number of rules: 1827
% New rule produced :
% [2826]
% quotient(t(t(eta(A),B),quotient(C,eta(A))),t(eta(A),V_3)) <->
% t(eta(A),quotient(t(B,difference(eta(A),C)),V_3))
% Current number of equations to process: 281
% Current number of ordered equations: 0
% Current number of rules: 1828
% New rule produced :
% [2827]
% t(eta(A),quotient(t(B,difference(eta(A),C)),j(eta(A)))) <->
% quotient(t(t(eta(A),B),quotient(C,eta(A))),j(eta(A)))
% Current number of equations to process: 280
% Current number of ordered equations: 1
% Current number of rules: 1829
% New rule produced :
% [2828]
% quotient(t(t(eta(A),B),quotient(C,eta(A))),j(eta(A))) <->
% t(eta(A),quotient(t(B,difference(eta(A),C)),j(eta(A))))
% Current number of equations to process: 280
% Current number of ordered equations: 0
% Current number of rules: 1830
% New rule produced :
% [2829]
% t(eta(A),quotient(j(eta(A)),t(B,difference(eta(A),C)))) <->
% quotient(j(eta(A)),t(t(eta(A),B),quotient(C,eta(A))))
% Current number of equations to process: 279
% Current number of ordered equations: 1
% Current number of rules: 1831
% New rule produced :
% [2830]
% quotient(j(eta(A)),t(t(eta(A),B),quotient(C,eta(A)))) <->
% t(eta(A),quotient(j(eta(A)),t(B,difference(eta(A),C))))
% Current number of equations to process: 279
% Current number of ordered equations: 0
% Current number of rules: 1832
% New rule produced :
% [2831]
% t(eta(A),difference(j(eta(A)),t(B,difference(eta(A),C)))) <->
% difference(j(eta(A)),t(t(eta(A),B),quotient(C,eta(A))))
% Current number of equations to process: 278
% Current number of ordered equations: 1
% Current number of rules: 1833
% New rule produced :
% [2832]
% difference(j(eta(A)),t(t(eta(A),B),quotient(C,eta(A)))) <->
% t(eta(A),difference(j(eta(A)),t(B,difference(eta(A),C))))
% Current number of equations to process: 278
% Current number of ordered equations: 0
% Current number of rules: 1834
% New rule produced :
% [2833]
% t(eta(A),difference(t(B,difference(eta(A),C)),difference(eta(A),V_3))) <->
% difference(t(t(eta(A),B),quotient(C,eta(A))),quotient(V_3,eta(A)))
% Current number of equations to process: 277
% Current number of ordered equations: 1
% Current number of rules: 1835
% New rule produced :
% [2834]
% difference(t(t(eta(A),B),quotient(C,eta(A))),quotient(V_3,eta(A))) <->
% t(eta(A),difference(t(B,difference(eta(A),C)),difference(eta(A),V_3)))
% Current number of equations to process: 277
% Current number of ordered equations: 0
% Current number of rules: 1836
% New rule produced :
% [2835]
% t(eta(A),quotient(t(B,difference(eta(A),C)),difference(eta(A),V_3))) <->
% quotient(t(t(eta(A),B),quotient(C,eta(A))),quotient(V_3,eta(A)))
% Current number of equations to process: 276
% Current number of ordered equations: 1
% Current number of rules: 1837
% New rule produced :
% [2836]
% quotient(t(t(eta(A),B),quotient(C,eta(A))),quotient(V_3,eta(A))) <->
% t(eta(A),quotient(t(B,difference(eta(A),C)),difference(eta(A),V_3)))
% Current number of equations to process: 276
% Current number of ordered equations: 0
% Current number of rules: 1838
% New rule produced :
% [2837]
% t(eta(A),t(B,difference(C,difference(j(C),quotient(t(C,eta(A)),j(C)))))) <->
% t(t(eta(A),B),difference(A,quotient(quotient(difference(j(A),C),j(A)),
% j(j(A)))))
% Current number of equations to process: 275
% Current number of ordered equations: 1
% Current number of rules: 1839
% New rule produced :
% [2838]
% t(t(eta(A),B),difference(A,quotient(quotient(difference(j(A),C),j(A)),
% j(j(A))))) <->
% t(eta(A),t(B,difference(C,difference(j(C),quotient(t(C,eta(A)),j(C))))))
% Current number of equations to process: 275
% Current number of ordered equations: 0
% Current number of rules: 1840
% New rule produced :
% [2839]
% t(eta(A),t(B,quotient(quotient(difference(A,difference(C,difference(j(C),
% quotient(t(C,eta(A)),
% j(C))))),A),
% i(A)))) <->
% t(t(eta(A),B),quotient(difference(A,quotient(quotient(C,j(A)),j(j(A)))),
% eta(A)))
% Current number of equations to process: 274
% Current number of ordered equations: 1
% Current number of rules: 1841
% New rule produced :
% [2840]
% t(t(eta(A),B),quotient(difference(A,quotient(quotient(C,j(A)),j(j(A)))),
% eta(A))) <->
% t(eta(A),t(B,quotient(quotient(difference(A,difference(C,difference(j(C),
% quotient(t(C,eta(A)),
% j(C))))),A),
% i(A))))
% Current number of equations to process: 274
% Current number of ordered equations: 0
% Current number of rules: 1842
% New rule produced :
% [2841]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% t(
% t(
% eta(A),C),
% quotient(V_3,
% eta(A))),
% j(
% eta(A))))))))
% -> t(eta(A),difference(B,t(C,difference(eta(A),V_3))))
% Current number of equations to process: 273
% Current number of ordered equations: 0
% Current number of rules: 1843
% New rule produced : [2842] t(t(eta(A),B),i(A)) -> t(eta(A),t(B,j(j(j(A)))))
% Current number of equations to process: 280
% Current number of ordered equations: 0
% Current number of rules: 1844
% New rule produced : [2843] t(t(eta(A),B),A) -> t(eta(A),t(B,j(j(j(j(A))))))
% Current number of equations to process: 330
% Current number of ordered equations: 0
% Current number of rules: 1845
% New rule produced :
% [2844]
% t(eta(A),t(i(B),difference(eta(A),C))) <->
% t(i(t(eta(A),B)),quotient(C,eta(A)))
% Current number of equations to process: 332
% Current number of ordered equations: 1
% Current number of rules: 1846
% New rule produced :
% [2845]
% t(i(t(eta(A),B)),quotient(C,eta(A))) <->
% t(eta(A),t(i(B),difference(eta(A),C)))
% Current number of equations to process: 332
% Current number of ordered equations: 0
% Current number of rules: 1847
% New rule produced :
% [2846] t(eta(A),t(B,difference(eta(A),j(j(j(A)))))) <-> t(t(eta(A),B),j(A))
% Current number of equations to process: 331
% Current number of ordered equations: 1
% Current number of rules: 1848
% New rule produced :
% [2847] t(t(eta(A),B),j(A)) <-> t(eta(A),t(B,difference(eta(A),j(j(j(A))))))
% Current number of equations to process: 331
% Current number of ordered equations: 0
% Current number of rules: 1849
% New rule produced :
% [2848] t(t(eta(A),B),i(i(i(i(i(i(A))))))) -> t(eta(A),t(B,i(i(A))))
% Current number of equations to process: 330
% Current number of ordered equations: 0
% Current number of rules: 1850
% New rule produced :
% [2849]
% t(t(eta(A),B),difference(A,j(j(j(j(A)))))) ->
% t(eta(A),t(B,quotient(eta(A),j(eta(A)))))
% Current number of equations to process: 329
% Current number of ordered equations: 0
% Current number of rules: 1851
% New rule produced :
% [2850]
% t(t(eta(A),B),i(quotient(eta(A),j(eta(A))))) ->
% t(eta(A),t(B,i(quotient(eta(A),j(eta(A))))))
% Current number of equations to process: 328
% Current number of ordered equations: 0
% Current number of rules: 1852
% New rule produced :
% [2851]
% t(eta(A),t(B,quotient(difference(eta(A),C),eta(A)))) <->
% t(t(eta(A),B),quotient(quotient(C,eta(A)),eta(A)))
% Current number of equations to process: 327
% Current number of ordered equations: 1
% Current number of rules: 1853
% New rule produced :
% [2852]
% t(t(eta(A),B),quotient(quotient(C,eta(A)),eta(A))) <->
% t(eta(A),t(B,quotient(difference(eta(A),C),eta(A))))
% Current number of equations to process: 327
% Current number of ordered equations: 0
% Current number of rules: 1854
% New rule produced :
% [2853]
% difference(eta(A),j(t(t(eta(A),B),quotient(C,eta(A))))) ->
% quotient(j(t(B,difference(eta(A),C))),eta(A))
% Current number of equations to process: 326
% Current number of ordered equations: 0
% Current number of rules: 1855
% New rule produced :
% [2854]
% difference(eta(A),i(t(t(eta(A),B),quotient(C,eta(A))))) ->
% quotient(i(t(B,difference(eta(A),C))),eta(A))
% Current number of equations to process: 325
% Current number of ordered equations: 0
% Current number of rules: 1856
% New rule produced :
% [2855]
% t(eta(A),t(t(B,difference(eta(A),C)),eta(A))) <->
% t(t(t(eta(A),B),quotient(C,eta(A))),eta(A))
% Current number of equations to process: 324
% Current number of ordered equations: 1
% Current number of rules: 1857
% New rule produced :
% [2856]
% t(t(t(eta(A),B),quotient(C,eta(A))),eta(A)) <->
% t(eta(A),t(t(B,difference(eta(A),C)),eta(A)))
% Current number of equations to process: 324
% Current number of ordered equations: 0
% Current number of rules: 1858
% New rule produced :
% [2857]
% t(eta(A),quotient(eta(A),j(t(B,difference(eta(A),C))))) <->
% quotient(eta(A),j(t(t(eta(A),B),quotient(C,eta(A)))))
% Current number of equations to process: 323
% Current number of ordered equations: 1
% Current number of rules: 1859
% New rule produced :
% [2858]
% quotient(eta(A),j(t(t(eta(A),B),quotient(C,eta(A))))) <->
% t(eta(A),quotient(eta(A),j(t(B,difference(eta(A),C)))))
% Current number of equations to process: 323
% Current number of ordered equations: 0
% Current number of rules: 1860
% New rule produced :
% [2859]
% t(eta(A),quotient(eta(A),i(t(B,difference(eta(A),C))))) <->
% quotient(eta(A),i(t(t(eta(A),B),quotient(C,eta(A)))))
% Current number of equations to process: 322
% Current number of ordered equations: 1
% Current number of rules: 1861
% New rule produced :
% [2860]
% quotient(eta(A),i(t(t(eta(A),B),quotient(C,eta(A))))) <->
% t(eta(A),quotient(eta(A),i(t(B,difference(eta(A),C)))))
% Current number of equations to process: 322
% Current number of ordered equations: 0
% Current number of rules: 1862
% New rule produced :
% [2861]
% t(eta(A),quotient(j(t(B,difference(eta(A),C))),eta(A))) <->
% quotient(j(t(t(eta(A),B),quotient(C,eta(A)))),eta(A))
% Current number of equations to process: 321
% Current number of ordered equations: 1
% Current number of rules: 1863
% New rule produced :
% [2862]
% quotient(j(t(t(eta(A),B),quotient(C,eta(A)))),eta(A)) <->
% t(eta(A),quotient(j(t(B,difference(eta(A),C))),eta(A)))
% Current number of equations to process: 321
% Current number of ordered equations: 0
% Current number of rules: 1864
% New rule produced :
% [2863]
% t(eta(A),quotient(i(t(B,difference(eta(A),C))),eta(A))) <->
% quotient(i(t(t(eta(A),B),quotient(C,eta(A)))),eta(A))
% Current number of equations to process: 320
% Current number of ordered equations: 1
% Current number of rules: 1865
% New rule produced :
% [2864]
% quotient(i(t(t(eta(A),B),quotient(C,eta(A)))),eta(A)) <->
% t(eta(A),quotient(i(t(B,difference(eta(A),C))),eta(A)))
% Current number of equations to process: 320
% Current number of ordered equations: 0
% Current number of rules: 1866
% New rule produced :
% [2865]
% t(eta(A),difference(j(t(B,difference(eta(A),C))),eta(A))) <->
% difference(j(t(t(eta(A),B),quotient(C,eta(A)))),eta(A))
% Current number of equations to process: 319
% Current number of ordered equations: 1
% Current number of rules: 1867
% New rule produced :
% [2866]
% difference(j(t(t(eta(A),B),quotient(C,eta(A)))),eta(A)) <->
% t(eta(A),difference(j(t(B,difference(eta(A),C))),eta(A)))
% Current number of equations to process: 319
% Current number of ordered equations: 0
% Current number of rules: 1868
% New rule produced :
% [2867]
% t(eta(A),difference(i(t(B,difference(eta(A),C))),eta(A))) <->
% difference(i(t(t(eta(A),B),quotient(C,eta(A)))),eta(A))
% Current number of equations to process: 318
% Current number of ordered equations: 1
% Current number of rules: 1869
% New rule produced :
% [2868]
% difference(i(t(t(eta(A),B),quotient(C,eta(A)))),eta(A)) <->
% t(eta(A),difference(i(t(B,difference(eta(A),C))),eta(A)))
% Current number of equations to process: 318
% Current number of ordered equations: 0
% Current number of rules: 1870
% New rule produced :
% [2869]
% t(eta(A),t(t(B,difference(eta(A),C)),j(eta(A)))) <->
% t(t(t(eta(A),B),quotient(C,eta(A))),j(eta(A)))
% Current number of equations to process: 317
% Current number of ordered equations: 1
% Current number of rules: 1871
% New rule produced :
% [2870]
% t(t(t(eta(A),B),quotient(C,eta(A))),j(eta(A))) <->
% t(eta(A),t(t(B,difference(eta(A),C)),j(eta(A))))
% Current number of equations to process: 317
% Current number of ordered equations: 0
% Current number of rules: 1872
% New rule produced :
% [2871]
% t(eta(A),t(j(eta(A)),t(B,difference(eta(A),C)))) <->
% t(j(eta(A)),t(t(eta(A),B),quotient(C,eta(A))))
% Current number of equations to process: 316
% Current number of ordered equations: 1
% Current number of rules: 1873
% New rule produced :
% [2872]
% t(j(eta(A)),t(t(eta(A),B),quotient(C,eta(A)))) <->
% t(eta(A),t(j(eta(A)),t(B,difference(eta(A),C))))
% Current number of equations to process: 316
% Current number of ordered equations: 0
% Current number of rules: 1874
% New rule produced :
% [2873]
% t(eta(A),quotient(t(B,difference(eta(A),C)),j(j(A)))) <->
% quotient(t(t(eta(A),B),quotient(C,eta(A))),i(i(A)))
% Current number of equations to process: 315
% Current number of ordered equations: 1
% Current number of rules: 1875
% New rule produced :
% [2874]
% quotient(t(t(eta(A),B),quotient(C,eta(A))),i(i(A))) <->
% t(eta(A),quotient(t(B,difference(eta(A),C)),j(j(A))))
% Current number of equations to process: 315
% Current number of ordered equations: 0
% Current number of rules: 1876
% New rule produced :
% [2875]
% t(eta(A),quotient(j(j(A)),t(B,difference(eta(A),C)))) <->
% quotient(i(i(A)),t(t(eta(A),B),quotient(C,eta(A))))
% Current number of equations to process: 314
% Current number of ordered equations: 1
% Current number of rules: 1877
% New rule produced :
% [2876]
% quotient(i(i(A)),t(t(eta(A),B),quotient(C,eta(A)))) <->
% t(eta(A),quotient(j(j(A)),t(B,difference(eta(A),C))))
% Current number of equations to process: 314
% Current number of ordered equations: 0
% Current number of rules: 1878
% New rule produced :
% [2877]
% difference(i(i(A)),t(t(eta(A),B),quotient(C,eta(A)))) ->
% t(eta(A),difference(j(j(A)),t(B,difference(eta(A),C))))
% Current number of equations to process: 313
% Current number of ordered equations: 0
% Current number of rules: 1879
% New rule produced :
% [2878]
% quotient(t(t(eta(A),B),quotient(C,eta(A))),quotient(t(B,difference(eta(A),C)),
% eta(A))) -> eta(A)
% Current number of equations to process: 312
% Current number of ordered equations: 0
% Current number of rules: 1880
% New rule produced :
% [2879]
% t(eta(A),quotient(t(B,difference(eta(A),C)),j(A))) <->
% quotient(t(t(eta(A),B),quotient(C,eta(A))),i(i(i(A))))
% Current number of equations to process: 311
% Current number of ordered equations: 1
% Current number of rules: 1881
% New rule produced :
% [2880]
% quotient(t(t(eta(A),B),quotient(C,eta(A))),i(i(i(A)))) <->
% t(eta(A),quotient(t(B,difference(eta(A),C)),j(A)))
% Current number of equations to process: 311
% Current number of ordered equations: 0
% Current number of rules: 1882
% New rule produced :
% [2881]
% t(eta(A),quotient(j(A),t(B,difference(eta(A),C)))) <->
% quotient(i(i(i(A))),t(t(eta(A),B),quotient(C,eta(A))))
% Current number of equations to process: 310
% Current number of ordered equations: 1
% Current number of rules: 1883
% New rule produced :
% [2882]
% quotient(i(i(i(A))),t(t(eta(A),B),quotient(C,eta(A)))) <->
% t(eta(A),quotient(j(A),t(B,difference(eta(A),C))))
% Current number of equations to process: 310
% Current number of ordered equations: 0
% Current number of rules: 1884
% New rule produced :
% [2883]
% difference(i(i(i(A))),t(t(eta(A),B),quotient(C,eta(A)))) ->
% t(eta(A),difference(j(A),t(B,difference(eta(A),C))))
% Current number of equations to process: 309
% Current number of ordered equations: 0
% Current number of rules: 1885
% New rule produced :
% [2884]
% t(eta(A),t(B,quotient(quotient(difference(A,j(A)),A),i(A)))) <->
% t(t(eta(A),B),quotient(difference(A,j(A)),eta(A)))
% Current number of equations to process: 308
% Current number of ordered equations: 1
% Current number of rules: 1886
% New rule produced :
% [2885]
% t(t(eta(A),B),quotient(difference(A,j(A)),eta(A))) <->
% t(eta(A),t(B,quotient(quotient(difference(A,j(A)),A),i(A))))
% Current number of equations to process: 308
% Current number of ordered equations: 0
% Current number of rules: 1887
% New rule produced :
% [2886]
% difference(i(i(i(i(A)))),t(t(eta(A),B),quotient(C,eta(A)))) ->
% t(eta(A),difference(A,t(B,difference(eta(A),C))))
% Current number of equations to process: 307
% Current number of ordered equations: 0
% Current number of rules: 1888
% New rule produced :
% [2887]
% t(eta(A),quotient(t(B,difference(eta(A),C)),A)) <->
% quotient(t(t(eta(A),B),quotient(C,eta(A))),i(i(i(i(A)))))
% Current number of equations to process: 306
% Current number of ordered equations: 1
% Current number of rules: 1889
% New rule produced :
% [2888]
% quotient(t(t(eta(A),B),quotient(C,eta(A))),i(i(i(i(A))))) <->
% t(eta(A),quotient(t(B,difference(eta(A),C)),A))
% Current number of equations to process: 306
% Current number of ordered equations: 0
% Current number of rules: 1890
% New rule produced :
% [2889]
% t(eta(A),quotient(A,t(B,difference(eta(A),C)))) <->
% quotient(i(i(i(i(A)))),t(t(eta(A),B),quotient(C,eta(A))))
% Current number of equations to process: 305
% Current number of ordered equations: 1
% Current number of rules: 1891
% New rule produced :
% [2890]
% quotient(i(i(i(i(A)))),t(t(eta(A),B),quotient(C,eta(A)))) <->
% t(eta(A),quotient(A,t(B,difference(eta(A),C))))
% Current number of equations to process: 305
% Current number of ordered equations: 0
% Current number of rules: 1892
% New rule produced :
% [2891]
% t(eta(A),t(t(B,difference(eta(A),C)),A)) <->
% t(t(t(eta(A),B),quotient(C,eta(A))),i(i(i(i(A)))))
% Current number of equations to process: 304
% Current number of ordered equations: 1
% Current number of rules: 1893
% New rule produced :
% [2892]
% t(t(t(eta(A),B),quotient(C,eta(A))),i(i(i(i(A))))) <->
% t(eta(A),t(t(B,difference(eta(A),C)),A))
% Current number of equations to process: 304
% Current number of ordered equations: 0
% Current number of rules: 1894
% New rule produced :
% [2893]
% t(eta(A),t(A,t(B,difference(eta(A),C)))) <->
% t(i(i(i(i(A)))),t(t(eta(A),B),quotient(C,eta(A))))
% Current number of equations to process: 303
% Current number of ordered equations: 1
% Current number of rules: 1895
% New rule produced :
% [2894]
% t(i(i(i(i(A)))),t(t(eta(A),B),quotient(C,eta(A)))) <->
% t(eta(A),t(A,t(B,difference(eta(A),C))))
% Current number of equations to process: 303
% Current number of ordered equations: 0
% Current number of rules: 1896
% New rule produced :
% [2895]
% t(eta(A),t(B,difference(eta(A),quotient(quotient(difference(C,eta(A)),C),
% j(C))))) <-> t(t(eta(A),B),j(C))
% Current number of equations to process: 302
% Current number of ordered equations: 1
% Current number of rules: 1897
% New rule produced :
% [2896]
% t(t(eta(A),B),j(C)) <->
% t(eta(A),t(B,difference(eta(A),quotient(quotient(difference(C,eta(A)),C),
% j(C)))))
% Current number of equations to process: 302
% Current number of ordered equations: 0
% Current number of rules: 1898
% New rule produced :
% [2897]
% t(eta(A),difference(t(B,difference(eta(A),C)),j(V_3))) <->
% difference(t(t(eta(A),B),quotient(C,eta(A))),j(t(eta(A),V_3)))
% Current number of equations to process: 301
% Current number of ordered equations: 1
% Current number of rules: 1899
% New rule produced :
% [2898]
% difference(t(t(eta(A),B),quotient(C,eta(A))),j(t(eta(A),V_3))) <->
% t(eta(A),difference(t(B,difference(eta(A),C)),j(V_3)))
% Current number of equations to process: 301
% Current number of ordered equations: 0
% Current number of rules: 1900
% New rule produced :
% [2899]
% t(eta(A),difference(j(t(B,difference(eta(A),C))),V_3)) <->
% difference(j(t(t(eta(A),B),quotient(C,eta(A)))),t(eta(A),V_3))
% Current number of equations to process: 299
% Current number of ordered equations: 2
% Current number of rules: 1901
% New rule produced :
% [2900]
% difference(j(t(eta(A),B)),t(t(eta(A),C),quotient(V_3,eta(A)))) ->
% t(eta(A),difference(j(B),t(C,difference(eta(A),V_3))))
% Current number of equations to process: 299
% Current number of ordered equations: 1
% Current number of rules: 1902
% New rule produced :
% [2901]
% difference(j(t(t(eta(A),B),quotient(C,eta(A)))),t(eta(A),V_3)) <->
% t(eta(A),difference(j(t(B,difference(eta(A),C))),V_3))
% Current number of equations to process: 299
% Current number of ordered equations: 0
% Current number of rules: 1903
% New rule produced :
% [2902]
% t(eta(A),quotient(t(B,difference(eta(A),C)),j(V_3))) <->
% quotient(t(t(eta(A),B),quotient(C,eta(A))),j(t(eta(A),V_3)))
% Current number of equations to process: 297
% Current number of ordered equations: 3
% Current number of rules: 1904
% New rule produced :
% [2903]
% t(eta(A),quotient(B,j(t(C,difference(eta(A),V_3))))) <->
% quotient(t(eta(A),B),j(t(t(eta(A),C),quotient(V_3,eta(A)))))
% Current number of equations to process: 297
% Current number of ordered equations: 2
% Current number of rules: 1905
% New rule produced :
% [2904]
% quotient(t(eta(A),B),j(t(t(eta(A),C),quotient(V_3,eta(A))))) <->
% t(eta(A),quotient(B,j(t(C,difference(eta(A),V_3)))))
% Current number of equations to process: 297
% Current number of ordered equations: 1
% Current number of rules: 1906
% New rule produced :
% [2905]
% quotient(t(t(eta(A),B),quotient(C,eta(A))),j(t(eta(A),V_3))) <->
% t(eta(A),quotient(t(B,difference(eta(A),C)),j(V_3)))
% Current number of equations to process: 297
% Current number of ordered equations: 0
% Current number of rules: 1907
% New rule produced :
% [2906]
% t(eta(A),quotient(j(t(B,difference(eta(A),C))),V_3)) <->
% quotient(j(t(t(eta(A),B),quotient(C,eta(A)))),t(eta(A),V_3))
% Current number of equations to process: 295
% Current number of ordered equations: 3
% Current number of rules: 1908
% New rule produced :
% [2907]
% t(eta(A),quotient(j(B),t(C,difference(eta(A),V_3)))) <->
% quotient(j(t(eta(A),B)),t(t(eta(A),C),quotient(V_3,eta(A))))
% Current number of equations to process: 295
% Current number of ordered equations: 2
% Current number of rules: 1909
% New rule produced :
% [2908]
% quotient(j(t(eta(A),B)),t(t(eta(A),C),quotient(V_3,eta(A)))) <->
% t(eta(A),quotient(j(B),t(C,difference(eta(A),V_3))))
% Current number of equations to process: 295
% Current number of ordered equations: 1
% Current number of rules: 1910
% New rule produced :
% [2909]
% quotient(j(t(t(eta(A),B),quotient(C,eta(A)))),t(eta(A),V_3)) <->
% t(eta(A),quotient(j(t(B,difference(eta(A),C))),V_3))
% Current number of equations to process: 295
% Current number of ordered equations: 0
% Current number of rules: 1911
% New rule produced :
% [2910]
% t(eta(A),difference(t(B,difference(eta(A),C)),i(V_3))) <->
% difference(t(t(eta(A),B),quotient(C,eta(A))),i(t(eta(A),V_3)))
% Current number of equations to process: 294
% Current number of ordered equations: 1
% Current number of rules: 1912
% New rule produced :
% [2911]
% difference(t(t(eta(A),B),quotient(C,eta(A))),i(t(eta(A),V_3))) <->
% t(eta(A),difference(t(B,difference(eta(A),C)),i(V_3)))
% Current number of equations to process: 294
% Current number of ordered equations: 0
% Current number of rules: 1913
% New rule produced :
% [2912]
% t(eta(A),difference(i(t(B,difference(eta(A),C))),V_3)) <->
% difference(i(t(t(eta(A),B),quotient(C,eta(A)))),t(eta(A),V_3))
% Current number of equations to process: 292
% Current number of ordered equations: 2
% Current number of rules: 1914
% New rule produced :
% [2913]
% difference(i(t(eta(A),B)),t(t(eta(A),C),quotient(V_3,eta(A)))) ->
% t(eta(A),difference(i(B),t(C,difference(eta(A),V_3))))
% Current number of equations to process: 292
% Current number of ordered equations: 1
% Current number of rules: 1915
% New rule produced :
% [2914]
% difference(i(t(t(eta(A),B),quotient(C,eta(A)))),t(eta(A),V_3)) <->
% t(eta(A),difference(i(t(B,difference(eta(A),C))),V_3))
% Current number of equations to process: 292
% Current number of ordered equations: 0
% Current number of rules: 1916
% New rule produced :
% [2915]
% t(eta(A),quotient(t(B,difference(eta(A),C)),i(V_3))) <->
% quotient(t(t(eta(A),B),quotient(C,eta(A))),i(t(eta(A),V_3)))
% Current number of equations to process: 290
% Current number of ordered equations: 3
% Current number of rules: 1917
% New rule produced :
% [2916]
% t(eta(A),quotient(B,i(t(C,difference(eta(A),V_3))))) <->
% quotient(t(eta(A),B),i(t(t(eta(A),C),quotient(V_3,eta(A)))))
% Current number of equations to process: 290
% Current number of ordered equations: 2
% Current number of rules: 1918
% New rule produced :
% [2917]
% quotient(t(eta(A),B),i(t(t(eta(A),C),quotient(V_3,eta(A))))) <->
% t(eta(A),quotient(B,i(t(C,difference(eta(A),V_3)))))
% Current number of equations to process: 290
% Current number of ordered equations: 1
% Current number of rules: 1919
% New rule produced :
% [2918]
% quotient(t(t(eta(A),B),quotient(C,eta(A))),i(t(eta(A),V_3))) <->
% t(eta(A),quotient(t(B,difference(eta(A),C)),i(V_3)))
% Current number of equations to process: 290
% Current number of ordered equations: 0
% Current number of rules: 1920
% New rule produced :
% [2919]
% t(eta(A),quotient(i(t(B,difference(eta(A),C))),V_3)) <->
% quotient(i(t(t(eta(A),B),quotient(C,eta(A)))),t(eta(A),V_3))
% Current number of equations to process: 288
% Current number of ordered equations: 3
% Current number of rules: 1921
% New rule produced :
% [2920]
% t(eta(A),quotient(i(B),t(C,difference(eta(A),V_3)))) <->
% quotient(i(t(eta(A),B)),t(t(eta(A),C),quotient(V_3,eta(A))))
% Current number of equations to process: 288
% Current number of ordered equations: 2
% Current number of rules: 1922
% New rule produced :
% [2921]
% quotient(i(t(eta(A),B)),t(t(eta(A),C),quotient(V_3,eta(A)))) <->
% t(eta(A),quotient(i(B),t(C,difference(eta(A),V_3))))
% Current number of equations to process: 288
% Current number of ordered equations: 1
% Current number of rules: 1923
% New rule produced :
% [2922]
% quotient(i(t(t(eta(A),B),quotient(C,eta(A)))),t(eta(A),V_3)) <->
% t(eta(A),quotient(i(t(B,difference(eta(A),C))),V_3))
% Current number of equations to process: 288
% Current number of ordered equations: 0
% Current number of rules: 1924
% New rule produced :
% [2923]
% t(eta(A),quotient(j(t(B,difference(eta(A),C))),j(eta(A)))) <->
% quotient(j(t(t(eta(A),B),quotient(C,eta(A)))),j(eta(A)))
% Current number of equations to process: 287
% Current number of ordered equations: 1
% Current number of rules: 1925
% New rule produced :
% [2924]
% quotient(j(t(t(eta(A),B),quotient(C,eta(A)))),j(eta(A))) <->
% t(eta(A),quotient(j(t(B,difference(eta(A),C))),j(eta(A))))
% Current number of equations to process: 287
% Current number of ordered equations: 0
% Current number of rules: 1926
% New rule produced :
% [2925]
% t(eta(A),quotient(i(t(B,difference(eta(A),C))),j(eta(A)))) <->
% quotient(i(t(t(eta(A),B),quotient(C,eta(A)))),j(eta(A)))
% Current number of equations to process: 286
% Current number of ordered equations: 1
% Current number of rules: 1927
% New rule produced :
% [2926]
% quotient(i(t(t(eta(A),B),quotient(C,eta(A)))),j(eta(A))) <->
% t(eta(A),quotient(i(t(B,difference(eta(A),C))),j(eta(A))))
% Current number of equations to process: 286
% Current number of ordered equations: 0
% Current number of rules: 1928
% New rule produced :
% [2927]
% t(eta(A),quotient(j(eta(A)),j(t(B,difference(eta(A),C))))) <->
% quotient(j(eta(A)),j(t(t(eta(A),B),quotient(C,eta(A)))))
% Current number of equations to process: 285
% Current number of ordered equations: 1
% Current number of rules: 1929
% New rule produced :
% [2928]
% quotient(j(eta(A)),j(t(t(eta(A),B),quotient(C,eta(A))))) <->
% t(eta(A),quotient(j(eta(A)),j(t(B,difference(eta(A),C)))))
% Current number of equations to process: 285
% Current number of ordered equations: 0
% Current number of rules: 1930
% New rule produced :
% [2929]
% t(eta(A),quotient(j(eta(A)),i(t(B,difference(eta(A),C))))) <->
% quotient(j(eta(A)),i(t(t(eta(A),B),quotient(C,eta(A)))))
% Current number of equations to process: 284
% Current number of ordered equations: 1
% Current number of rules: 1931
% New rule produced :
% [2930]
% quotient(j(eta(A)),i(t(t(eta(A),B),quotient(C,eta(A))))) <->
% t(eta(A),quotient(j(eta(A)),i(t(B,difference(eta(A),C)))))
% Current number of equations to process: 284
% Current number of ordered equations: 0
% Current number of rules: 1932
% New rule produced :
% [2931]
% t(eta(A),difference(j(t(B,difference(eta(A),C))),j(eta(A)))) <->
% difference(j(t(t(eta(A),B),quotient(C,eta(A)))),j(eta(A)))
% Current number of equations to process: 283
% Current number of ordered equations: 1
% Current number of rules: 1933
% New rule produced :
% [2932]
% difference(j(t(t(eta(A),B),quotient(C,eta(A)))),j(eta(A))) <->
% t(eta(A),difference(j(t(B,difference(eta(A),C))),j(eta(A))))
% Current number of equations to process: 283
% Current number of ordered equations: 0
% Current number of rules: 1934
% New rule produced :
% [2933]
% t(eta(A),difference(i(t(B,difference(eta(A),C))),j(eta(A)))) <->
% difference(i(t(t(eta(A),B),quotient(C,eta(A)))),j(eta(A)))
% Current number of equations to process: 282
% Current number of ordered equations: 1
% Current number of rules: 1935
% New rule produced :
% [2934]
% difference(i(t(t(eta(A),B),quotient(C,eta(A)))),j(eta(A))) <->
% t(eta(A),difference(i(t(B,difference(eta(A),C))),j(eta(A))))
% Current number of equations to process: 282
% Current number of ordered equations: 0
% Current number of rules: 1936
% New rule produced :
% [2935]
% t(eta(A),difference(j(eta(A)),j(t(B,difference(eta(A),C))))) <->
% difference(j(eta(A)),j(t(t(eta(A),B),quotient(C,eta(A)))))
% Current number of equations to process: 281
% Current number of ordered equations: 1
% Current number of rules: 1937
% New rule produced :
% [2936]
% difference(j(eta(A)),j(t(t(eta(A),B),quotient(C,eta(A))))) <->
% t(eta(A),difference(j(eta(A)),j(t(B,difference(eta(A),C)))))
% Current number of equations to process: 281
% Current number of ordered equations: 0
% Current number of rules: 1938
% New rule produced :
% [2937]
% t(eta(A),difference(j(eta(A)),i(t(B,difference(eta(A),C))))) <->
% difference(j(eta(A)),i(t(t(eta(A),B),quotient(C,eta(A)))))
% Current number of equations to process: 280
% Current number of ordered equations: 1
% Current number of rules: 1939
% New rule produced :
% [2938]
% difference(j(eta(A)),i(t(t(eta(A),B),quotient(C,eta(A))))) <->
% t(eta(A),difference(j(eta(A)),i(t(B,difference(eta(A),C)))))
% Current number of equations to process: 280
% Current number of ordered equations: 0
% Current number of rules: 1940
% New rule produced :
% [2939]
% t(eta(A),t(quotient(B,difference(eta(A),C)),difference(eta(A),V_3))) <->
% t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(V_3,eta(A)))
% Rule
% [1069]
% 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.
% Current number of equations to process: 279
% Current number of ordered equations: 1
% Current number of rules: 1940
% New rule produced :
% [2940]
% t(quotient(t(eta(A),B),quotient(C,eta(A))),quotient(V_3,eta(A))) <->
% t(eta(A),t(quotient(B,difference(eta(A),C)),difference(eta(A),V_3)))
% Rule
% [1070]
% 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))) collapsed.
% Current number of equations to process: 279
% Current number of ordered equations: 0
% Current number of rules: 1940
% New rule produced :
% [2941]
% t(eta(A),t(B,difference(eta(A),difference(C,quotient(quotient(eta(A),j(C)),
% j(j(C))))))) <->
% t(t(eta(A),B),i(C))
% Current number of equations to process: 278
% Current number of ordered equations: 1
% Current number of rules: 1941
% New rule produced :
% [2942]
% t(t(eta(A),B),i(C)) <->
% t(eta(A),t(B,difference(eta(A),difference(C,quotient(quotient(eta(A),j(C)),
% j(j(C)))))))
% Current number of equations to process: 278
% Current number of ordered equations: 0
% Current number of rules: 1942
% New rule produced :
% [2943]
% t(eta(A),t(B,difference(eta(A),difference(C,difference(j(C),quotient(
% t(C,eta(A)),
% j(C))))))) <->
% t(t(eta(A),B),C)
% Current number of equations to process: 277
% Current number of ordered equations: 1
% Current number of rules: 1943
% New rule produced :
% [2944]
% t(t(eta(A),B),C) <->
% t(eta(A),t(B,difference(eta(A),difference(C,difference(j(C),quotient(
% t(C,eta(A)),
% j(C)))))))
% Current number of equations to process: 277
% Current number of ordered equations: 0
% Current number of rules: 1944
% New rule produced :
% [2945]
% t(eta(A),t(B,difference(eta(A),difference(j(difference(C,eta(A))),quotient(C,
% j(difference(C,
% eta(A))))))))
% <-> t(t(eta(A),B),difference(C,eta(A)))
% Current number of equations to process: 276
% Current number of ordered equations: 1
% Current number of rules: 1945
% New rule produced :
% [2946]
% t(t(eta(A),B),difference(C,eta(A))) <->
% t(eta(A),t(B,difference(eta(A),difference(j(difference(C,eta(A))),quotient(C,
% j(difference(C,
% eta(A))))))))
% Current number of equations to process: 276
% Current number of ordered equations: 0
% Current number of rules: 1946
% New rule produced :
% [2947]
% t(eta(A),t(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),difference(
% eta(A),C)))
% <->
% t(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),j(j(A)))),
% quotient(C,eta(A)))
% Current number of equations to process: 278
% Current number of ordered equations: 1
% Current number of rules: 1947
% New rule produced :
% [2948]
% t(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),j(j(A)))),
% quotient(C,eta(A))) <->
% t(eta(A),t(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),difference(
% eta(A),C)))
% Current number of equations to process: 278
% Current number of ordered equations: 0
% Current number of rules: 1948
% New rule produced :
% [2949]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% j(
% t(
% t(
% eta(A),C),
% quotient(V_3,
% eta(A)))),
% j(
% eta(A))))))))
% -> t(eta(A),difference(B,j(t(C,difference(eta(A),V_3)))))
% Current number of equations to process: 277
% Current number of ordered equations: 0
% Current number of rules: 1949
% New rule produced :
% [2950]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% i(
% t(
% t(
% eta(A),C),
% quotient(V_3,
% eta(A)))),
% j(
% eta(A))))))))
% -> t(eta(A),difference(B,i(t(C,difference(eta(A),V_3)))))
% Current number of equations to process: 276
% Current number of ordered equations: 0
% Current number of rules: 1950
% New rule produced : [2951] t(i(i(A)),t(eta(A),B)) -> t(eta(A),t(j(j(A)),B))
% Rule
% [2362]
% t(i(i(A)),t(eta(A),difference(j(j(A)),B))) -> t(eta(A),quotient(B,j(j(A))))
% collapsed.
% Current number of equations to process: 298
% Current number of ordered equations: 0
% Current number of rules: 1950
% New rule produced :
% [2952]
% difference(eta(A),t(quotient(B,eta(A)),t(eta(A),C))) ->
% quotient(t(difference(eta(A),B),C),eta(A))
% Current number of equations to process: 301
% Current number of ordered equations: 0
% Current number of rules: 1951
% New rule produced :
% [2953]
% t(eta(A),t(B,difference(eta(A),j(j(j(j(A))))))) <-> t(t(eta(A),B),j(j(A)))
% Current number of equations to process: 300
% Current number of ordered equations: 1
% Current number of rules: 1952
% New rule produced :
% [2954]
% t(t(eta(A),B),j(j(A))) <-> t(eta(A),t(B,difference(eta(A),j(j(j(j(A)))))))
% Current number of equations to process: 300
% Current number of ordered equations: 0
% Current number of rules: 1953
% New rule produced :
% [2955]
% t(eta(A),quotient(eta(A),t(difference(eta(A),B),C))) ->
% quotient(eta(A),t(quotient(B,eta(A)),t(eta(A),C)))
% Current number of equations to process: 299
% Current number of ordered equations: 0
% Current number of rules: 1954
% New rule produced :
% [2956]
% t(eta(B),quotient(t(difference(eta(B),A),C),eta(B))) ->
% quotient(t(quotient(A,eta(B)),t(eta(B),C)),eta(B))
% Current number of equations to process: 298
% Current number of ordered equations: 0
% Current number of rules: 1955
% New rule produced :
% [2957]
% t(eta(A),t(B,t(difference(eta(A),C),V_3))) <->
% t(t(eta(A),B),t(quotient(C,eta(A)),t(eta(A),V_3)))
% Current number of equations to process: 296
% Current number of ordered equations: 2
% Current number of rules: 1956
% New rule produced :
% [2958]
% t(t(eta(A),B),t(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),t(B,t(difference(eta(A),C),V_3)))
% Current number of equations to process: 296
% Current number of ordered equations: 1
% Current number of rules: 1957
% New rule produced :
% [2959]
% t(eta(B),t(t(difference(eta(B),A),C),V_3)) ->
% t(t(quotient(A,eta(B)),t(eta(B),C)),t(eta(B),V_3))
% Current number of equations to process: 296
% Current number of ordered equations: 0
% Current number of rules: 1958
% New rule produced :
% [2960]
% t(eta(B),difference(t(difference(eta(B),A),C),V_3)) ->
% difference(t(quotient(A,eta(B)),t(eta(B),C)),t(eta(B),V_3))
% Current number of equations to process: 295
% Current number of ordered equations: 0
% Current number of rules: 1959
% New rule produced :
% [2961]
% t(eta(A),quotient(B,t(difference(eta(A),C),V_3))) <->
% quotient(t(eta(A),B),t(quotient(C,eta(A)),t(eta(A),V_3)))
% Current number of equations to process: 293
% Current number of ordered equations: 2
% Current number of rules: 1960
% New rule produced :
% [2962]
% t(eta(B),quotient(t(difference(eta(B),A),C),V_3)) ->
% quotient(t(quotient(A,eta(B)),t(eta(B),C)),t(eta(B),V_3))
% Rule
% [2598]
% difference(quotient(A,eta(B)),difference(j(quotient(A,eta(B))),t(eta(B),
% quotient(
% t(difference(
% eta(B),A),C),
% j(difference(
% eta(B),A))))))
% ->
% difference(quotient(A,eta(B)),difference(j(quotient(A,eta(B))),quotient(
% t(quotient(A,
% eta(B)),
% t(eta(B),C)),
% j(quotient(A,
% eta(B))))))
% collapsed.
% Rule
% [2956]
% t(eta(B),quotient(t(difference(eta(B),A),C),eta(B))) ->
% quotient(t(quotient(A,eta(B)),t(eta(B),C)),eta(B)) collapsed.
% Current number of equations to process: 293
% Current number of ordered equations: 1
% Current number of rules: 1959
% New rule produced :
% [2963]
% quotient(t(eta(A),B),t(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),quotient(B,t(difference(eta(A),C),V_3)))
% Current number of equations to process: 293
% Current number of ordered equations: 0
% Current number of rules: 1960
% New rule produced :
% [2964]
% t(eta(A),quotient(j(eta(A)),t(difference(eta(A),B),C))) ->
% quotient(j(eta(A)),t(quotient(B,eta(A)),t(eta(A),C)))
% Current number of equations to process: 291
% Current number of ordered equations: 0
% Current number of rules: 1961
% New rule produced :
% [2965]
% t(eta(A),difference(j(eta(A)),t(difference(eta(A),B),C))) ->
% difference(j(eta(A)),t(quotient(B,eta(A)),t(eta(A),C)))
% Current number of equations to process: 290
% Current number of ordered equations: 0
% Current number of rules: 1962
% New rule produced :
% [2966]
% t(eta(A),t(t(B,difference(eta(A),C)),difference(eta(A),V_3))) <->
% t(t(t(eta(A),B),quotient(C,eta(A))),quotient(V_3,eta(A)))
% Current number of equations to process: 289
% Current number of ordered equations: 1
% Current number of rules: 1963
% New rule produced :
% [2967]
% t(t(t(eta(A),B),quotient(C,eta(A))),quotient(V_3,eta(A))) <->
% t(eta(A),t(t(B,difference(eta(A),C)),difference(eta(A),V_3)))
% Current number of equations to process: 289
% Current number of ordered equations: 0
% Current number of rules: 1964
% New rule produced :
% [2968]
% t(eta(A),t(B,difference(eta(A),difference(i(C),quotient(quotient(eta(A),C),
% j(C)))))) <->
% t(t(eta(A),B),i(i(C)))
% Current number of equations to process: 286
% Current number of ordered equations: 1
% Current number of rules: 1965
% New rule produced :
% [2969]
% t(t(eta(A),B),i(i(C))) <->
% t(eta(A),t(B,difference(eta(A),difference(i(C),quotient(quotient(eta(A),C),
% j(C))))))
% Current number of equations to process: 286
% Current number of ordered equations: 0
% Current number of rules: 1966
% New rule produced :
% [2970]
% t(eta(A),t(B,difference(eta(A),quotient(quotient(difference(i(C),eta(A)),
% j(C)),j(j(C)))))) <->
% t(t(eta(A),B),C)
% Current number of equations to process: 285
% Current number of ordered equations: 1
% Current number of rules: 1967
% New rule produced :
% [2971]
% t(t(eta(A),B),C) <->
% t(eta(A),t(B,difference(eta(A),quotient(quotient(difference(i(C),eta(A)),
% j(C)),j(j(C))))))
% Current number of equations to process: 285
% Current number of ordered equations: 0
% Current number of rules: 1968
% New rule produced :
% [2972]
% t(difference(A,quotient(quotient(difference(j(A),B),j(A)),j(j(A)))),t(
% eta(A),C))
% <-> t(eta(A),t(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))),C))
% Current number of equations to process: 284
% Current number of ordered equations: 1
% Current number of rules: 1969
% New rule produced :
% [2973]
% t(eta(A),t(difference(B,difference(j(B),quotient(t(B,eta(A)),j(B)))),C)) <->
% t(difference(A,quotient(quotient(difference(j(A),B),j(A)),j(j(A)))),t(
% eta(A),C))
% Current number of equations to process: 284
% Current number of ordered equations: 0
% Current number of rules: 1970
% New rule produced :
% [2974]
% t(eta(A),t(quotient(quotient(difference(A,difference(B,difference(j(B),
% quotient(t(B,eta(A)),
% j(B))))),A),i(A)),C))
% ->
% t(quotient(difference(A,quotient(quotient(B,j(A)),j(j(A)))),eta(A)),t(
% eta(A),C))
% Current number of equations to process: 283
% Current number of ordered equations: 0
% Current number of rules: 1971
% New rule produced :
% [2975]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% t(
% quotient(C,
% eta(A)),
% t(
% eta(A),V_3)),
% j(
% eta(A))))))))
% -> t(eta(A),difference(B,t(difference(eta(A),C),V_3)))
% Current number of equations to process: 282
% Current number of ordered equations: 0
% Current number of rules: 1972
% New rule produced : [2976] t(i(A),t(eta(A),B)) -> t(eta(A),t(j(j(j(A))),B))
% Rule
% [2468]
% t(i(A),t(eta(A),quotient(A,j(A)))) ->
% t(eta(A),t(j(j(j(A))),quotient(A,j(A)))) collapsed.
% Current number of equations to process: 287
% Current number of ordered equations: 0
% Current number of rules: 1972
% New rule produced :
% [2977]
% t(eta(A),t(B,j(difference(eta(A),C)))) <->
% t(t(eta(A),B),j(quotient(C,eta(A))))
% Current number of equations to process: 329
% Current number of ordered equations: 1
% Current number of rules: 1973
% New rule produced :
% [2978]
% t(t(eta(A),B),j(quotient(C,eta(A)))) <->
% t(eta(A),t(B,j(difference(eta(A),C))))
% Current number of equations to process: 329
% Current number of ordered equations: 0
% Current number of rules: 1974
% New rule produced :
% [2979] 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: 328
% Current number of ordered equations: 0
% Current number of rules: 1975
% New rule produced :
% [2980] 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: 327
% Current number of ordered equations: 0
% Current number of rules: 1976
% New rule produced :
% [2981] t(i(i(i(i(i(i(A)))))),t(eta(A),B)) -> t(eta(A),t(i(i(A)),B))
% Current number of equations to process: 326
% Current number of ordered equations: 0
% Current number of rules: 1977
% New rule produced :
% [2982]
% t(difference(A,j(j(j(j(A))))),t(eta(A),B)) ->
% t(eta(A),t(quotient(eta(A),j(eta(A))),B))
% Current number of equations to process: 325
% Current number of ordered equations: 0
% Current number of rules: 1978
% New rule produced :
% [2983]
% 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: 324
% Current number of ordered equations: 0
% Current number of rules: 1979
% New rule produced :
% [2984]
% difference(eta(A),j(t(quotient(B,eta(A)),t(eta(A),C)))) ->
% quotient(j(t(difference(eta(A),B),C)),eta(A))
% Current number of equations to process: 323
% Current number of ordered equations: 0
% Current number of rules: 1980
% New rule produced :
% [2985]
% difference(eta(A),i(t(quotient(B,eta(A)),t(eta(A),C)))) ->
% quotient(i(t(difference(eta(A),B),C)),eta(A))
% Current number of equations to process: 322
% Current number of ordered equations: 0
% Current number of rules: 1981
% New rule produced :
% [2986]
% t(eta(A),quotient(eta(A),j(t(difference(eta(A),B),C)))) ->
% quotient(eta(A),j(t(quotient(B,eta(A)),t(eta(A),C))))
% Current number of equations to process: 321
% Current number of ordered equations: 0
% Current number of rules: 1982
% New rule produced :
% [2987]
% t(eta(A),quotient(eta(A),i(t(difference(eta(A),B),C)))) ->
% quotient(eta(A),i(t(quotient(B,eta(A)),t(eta(A),C))))
% Current number of equations to process: 320
% Current number of ordered equations: 0
% Current number of rules: 1983
% New rule produced :
% [2988]
% t(eta(B),quotient(j(t(difference(eta(B),A),C)),eta(B))) ->
% quotient(j(t(quotient(A,eta(B)),t(eta(B),C))),eta(B))
% Current number of equations to process: 319
% Current number of ordered equations: 0
% Current number of rules: 1984
% New rule produced :
% [2989]
% t(eta(B),quotient(i(t(difference(eta(B),A),C)),eta(B))) ->
% quotient(i(t(quotient(A,eta(B)),t(eta(B),C))),eta(B))
% Current number of equations to process: 318
% Current number of ordered equations: 0
% Current number of rules: 1985
% New rule produced :
% [2990]
% t(eta(B),difference(j(t(difference(eta(B),A),C)),eta(B))) ->
% difference(j(t(quotient(A,eta(B)),t(eta(B),C))),eta(B))
% Current number of equations to process: 317
% Current number of ordered equations: 0
% Current number of rules: 1986
% New rule produced :
% [2991]
% t(eta(B),difference(i(t(difference(eta(B),A),C)),eta(B))) ->
% difference(i(t(quotient(A,eta(B)),t(eta(B),C))),eta(B))
% Current number of equations to process: 316
% Current number of ordered equations: 0
% Current number of rules: 1987
% New rule produced :
% [2992]
% t(eta(A),quotient(j(j(A)),t(difference(eta(A),B),C))) <->
% quotient(i(i(A)),t(quotient(B,eta(A)),t(eta(A),C)))
% Current number of equations to process: 315
% Current number of ordered equations: 1
% Current number of rules: 1988
% New rule produced :
% [2993]
% quotient(i(i(A)),t(quotient(B,eta(A)),t(eta(A),C))) <->
% t(eta(A),quotient(j(j(A)),t(difference(eta(A),B),C)))
% Current number of equations to process: 315
% Current number of ordered equations: 0
% Current number of rules: 1989
% New rule produced :
% [2994]
% difference(i(i(A)),t(quotient(B,eta(A)),t(eta(A),C))) ->
% t(eta(A),difference(j(j(A)),t(difference(eta(A),B),C)))
% Current number of equations to process: 314
% Current number of ordered equations: 0
% Current number of rules: 1990
% New rule produced :
% [2995]
% quotient(t(quotient(A,eta(B)),t(eta(B),C)),quotient(t(difference(eta(B),A),C),
% eta(B))) -> eta(B)
% Current number of equations to process: 313
% Current number of ordered equations: 0
% Current number of rules: 1991
% New rule produced :
% [2996]
% t(eta(A),quotient(j(A),t(difference(eta(A),B),C))) <->
% quotient(i(i(i(A))),t(quotient(B,eta(A)),t(eta(A),C)))
% Current number of equations to process: 312
% Current number of ordered equations: 1
% Current number of rules: 1992
% New rule produced :
% [2997]
% quotient(i(i(i(A))),t(quotient(B,eta(A)),t(eta(A),C))) <->
% t(eta(A),quotient(j(A),t(difference(eta(A),B),C)))
% Current number of equations to process: 312
% Current number of ordered equations: 0
% Current number of rules: 1993
% New rule produced :
% [2998]
% difference(i(i(i(A))),t(quotient(B,eta(A)),t(eta(A),C))) ->
% t(eta(A),difference(j(A),t(difference(eta(A),B),C)))
% Current number of equations to process: 311
% Current number of ordered equations: 0
% Current number of rules: 1994
% New rule produced :
% [2999]
% t(eta(A),t(quotient(quotient(difference(A,j(A)),A),i(A)),B)) ->
% t(quotient(difference(A,j(A)),eta(A)),t(eta(A),B))
% Current number of equations to process: 310
% Current number of ordered equations: 0
% Current number of rules: 1995
% New rule produced :
% [3000]
% difference(i(i(i(i(A)))),t(quotient(B,eta(A)),t(eta(A),C))) ->
% t(eta(A),difference(A,t(difference(eta(A),B),C)))
% Current number of equations to process: 309
% Current number of ordered equations: 0
% Current number of rules: 1996
% New rule produced :
% [3001]
% t(eta(A),quotient(A,t(difference(eta(A),B),C))) <->
% quotient(i(i(i(i(A)))),t(quotient(B,eta(A)),t(eta(A),C)))
% Current number of equations to process: 308
% Current number of ordered equations: 1
% Current number of rules: 1997
% New rule produced :
% [3002]
% quotient(i(i(i(i(A)))),t(quotient(B,eta(A)),t(eta(A),C))) <->
% t(eta(A),quotient(A,t(difference(eta(A),B),C)))
% Current number of equations to process: 308
% Current number of ordered equations: 0
% Current number of rules: 1998
% New rule produced :
% [3003]
% t(eta(B),difference(j(t(difference(eta(B),A),C)),V_3)) ->
% difference(j(t(quotient(A,eta(B)),t(eta(B),C))),t(eta(B),V_3))
% Rule
% [2990]
% t(eta(B),difference(j(t(difference(eta(B),A),C)),eta(B))) ->
% difference(j(t(quotient(A,eta(B)),t(eta(B),C))),eta(B)) collapsed.
% Current number of equations to process: 306
% Current number of ordered equations: 1
% Current number of rules: 1998
% New rule produced :
% [3004]
% difference(j(t(eta(A),B)),t(quotient(C,eta(A)),t(eta(A),V_3))) ->
% t(eta(A),difference(j(B),t(difference(eta(A),C),V_3)))
% Current number of equations to process: 306
% Current number of ordered equations: 0
% Current number of rules: 1999
% New rule produced :
% [3005]
% t(eta(A),quotient(B,j(t(difference(eta(A),C),V_3)))) <->
% quotient(t(eta(A),B),j(t(quotient(C,eta(A)),t(eta(A),V_3))))
% Current number of equations to process: 305
% Current number of ordered equations: 1
% Current number of rules: 2000
% New rule produced :
% [3006]
% quotient(t(eta(A),B),j(t(quotient(C,eta(A)),t(eta(A),V_3)))) <->
% t(eta(A),quotient(B,j(t(difference(eta(A),C),V_3))))
% Current number of equations to process: 305
% Current number of ordered equations: 0
% Current number of rules: 2001
% New rule produced :
% [3007]
% t(eta(A),quotient(j(B),t(difference(eta(A),C),V_3))) <->
% quotient(j(t(eta(A),B)),t(quotient(C,eta(A)),t(eta(A),V_3)))
% Current number of equations to process: 303
% Current number of ordered equations: 2
% Current number of rules: 2002
% New rule produced :
% [3008]
% t(eta(B),quotient(j(t(difference(eta(B),A),C)),V_3)) ->
% quotient(j(t(quotient(A,eta(B)),t(eta(B),C))),t(eta(B),V_3))
% Rule
% [2988]
% t(eta(B),quotient(j(t(difference(eta(B),A),C)),eta(B))) ->
% quotient(j(t(quotient(A,eta(B)),t(eta(B),C))),eta(B)) collapsed.
% Current number of equations to process: 303
% Current number of ordered equations: 1
% Current number of rules: 2002
% New rule produced :
% [3009]
% quotient(j(t(eta(A),B)),t(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),quotient(j(B),t(difference(eta(A),C),V_3)))
% Current number of equations to process: 303
% Current number of ordered equations: 0
% Current number of rules: 2003
% New rule produced :
% [3010]
% t(eta(B),difference(i(t(difference(eta(B),A),C)),V_3)) ->
% difference(i(t(quotient(A,eta(B)),t(eta(B),C))),t(eta(B),V_3))
% Rule
% [2991]
% t(eta(B),difference(i(t(difference(eta(B),A),C)),eta(B))) ->
% difference(i(t(quotient(A,eta(B)),t(eta(B),C))),eta(B)) collapsed.
% Current number of equations to process: 301
% Current number of ordered equations: 1
% Current number of rules: 2003
% New rule produced :
% [3011]
% difference(i(t(eta(A),B)),t(quotient(C,eta(A)),t(eta(A),V_3))) ->
% t(eta(A),difference(i(B),t(difference(eta(A),C),V_3)))
% Current number of equations to process: 301
% Current number of ordered equations: 0
% Current number of rules: 2004
% New rule produced :
% [3012]
% t(eta(A),quotient(B,i(t(difference(eta(A),C),V_3)))) <->
% quotient(t(eta(A),B),i(t(quotient(C,eta(A)),t(eta(A),V_3))))
% Current number of equations to process: 300
% Current number of ordered equations: 1
% Current number of rules: 2005
% New rule produced :
% [3013]
% quotient(t(eta(A),B),i(t(quotient(C,eta(A)),t(eta(A),V_3)))) <->
% t(eta(A),quotient(B,i(t(difference(eta(A),C),V_3))))
% Current number of equations to process: 300
% Current number of ordered equations: 0
% Current number of rules: 2006
% New rule produced :
% [3014]
% t(eta(A),quotient(i(B),t(difference(eta(A),C),V_3))) <->
% quotient(i(t(eta(A),B)),t(quotient(C,eta(A)),t(eta(A),V_3)))
% Current number of equations to process: 298
% Current number of ordered equations: 2
% Current number of rules: 2007
% New rule produced :
% [3015]
% t(eta(B),quotient(i(t(difference(eta(B),A),C)),V_3)) ->
% quotient(i(t(quotient(A,eta(B)),t(eta(B),C))),t(eta(B),V_3))
% Rule
% [2989]
% t(eta(B),quotient(i(t(difference(eta(B),A),C)),eta(B))) ->
% quotient(i(t(quotient(A,eta(B)),t(eta(B),C))),eta(B)) collapsed.
% Current number of equations to process: 298
% Current number of ordered equations: 1
% Current number of rules: 2007
% New rule produced :
% [3016]
% quotient(i(t(eta(A),B)),t(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),quotient(i(B),t(difference(eta(A),C),V_3)))
% Current number of equations to process: 298
% Current number of ordered equations: 0
% Current number of rules: 2008
% New rule produced :
% [3017]
% t(eta(A),quotient(j(eta(A)),j(t(difference(eta(A),B),C)))) ->
% quotient(j(eta(A)),j(t(quotient(B,eta(A)),t(eta(A),C))))
% Current number of equations to process: 295
% Current number of ordered equations: 0
% Current number of rules: 2009
% New rule produced :
% [3018]
% t(eta(A),quotient(j(eta(A)),i(t(difference(eta(A),B),C)))) ->
% quotient(j(eta(A)),i(t(quotient(B,eta(A)),t(eta(A),C))))
% Current number of equations to process: 294
% Current number of ordered equations: 0
% Current number of rules: 2010
% New rule produced :
% [3019]
% t(eta(A),difference(j(eta(A)),j(t(difference(eta(A),B),C)))) ->
% difference(j(eta(A)),j(t(quotient(B,eta(A)),t(eta(A),C))))
% Current number of equations to process: 291
% Current number of ordered equations: 0
% Current number of rules: 2011
% New rule produced :
% [3020]
% t(eta(A),difference(j(eta(A)),i(t(difference(eta(A),B),C)))) ->
% difference(j(eta(A)),i(t(quotient(B,eta(A)),t(eta(A),C))))
% Current number of equations to process: 290
% Current number of ordered equations: 0
% Current number of rules: 2012
% New rule produced :
% [3021]
% t(eta(A),t(quotient(B,difference(eta(A),C)),j(V_3))) <->
% t(quotient(t(eta(A),B),quotient(C,eta(A))),j(t(eta(A),V_3)))
% Current number of equations to process: 288
% Current number of ordered equations: 3
% Current number of rules: 2013
% New rule produced :
% [3022]
% t(eta(A),t(B,j(quotient(C,difference(eta(A),V_3))))) <->
% t(t(eta(A),B),j(quotient(t(eta(A),C),quotient(V_3,eta(A)))))
% Current number of equations to process: 288
% Current number of ordered equations: 2
% Current number of rules: 2014
% New rule produced :
% [3023]
% t(t(eta(A),B),j(quotient(t(eta(A),C),quotient(V_3,eta(A))))) <->
% t(eta(A),t(B,j(quotient(C,difference(eta(A),V_3)))))
% Current number of equations to process: 288
% Current number of ordered equations: 1
% Current number of rules: 2015
% New rule produced :
% [3024]
% t(quotient(t(eta(A),B),quotient(C,eta(A))),j(t(eta(A),V_3))) <->
% t(eta(A),t(quotient(B,difference(eta(A),C)),j(V_3)))
% Current number of equations to process: 288
% Current number of ordered equations: 0
% Current number of rules: 2016
% New rule produced :
% [3025]
% t(eta(A),t(B,j(quotient(difference(eta(A),C),V_3)))) <->
% t(t(eta(A),B),j(quotient(quotient(C,eta(A)),t(eta(A),V_3))))
% Current number of equations to process: 287
% Current number of ordered equations: 1
% Current number of rules: 2017
% New rule produced :
% [3026]
% t(t(eta(A),B),j(quotient(quotient(C,eta(A)),t(eta(A),V_3)))) <->
% t(eta(A),t(B,j(quotient(difference(eta(A),C),V_3))))
% Current number of equations to process: 287
% Current number of ordered equations: 0
% Current number of rules: 2018
% New rule produced :
% [3027]
% t(eta(A),t(B,j(difference(difference(eta(A),C),V_3)))) <->
% t(t(eta(A),B),j(difference(quotient(C,eta(A)),t(eta(A),V_3))))
% Current number of equations to process: 286
% Current number of ordered equations: 1
% Current number of rules: 2019
% New rule produced :
% [3028]
% t(t(eta(A),B),j(difference(quotient(C,eta(A)),t(eta(A),V_3)))) <->
% t(eta(A),t(B,j(difference(difference(eta(A),C),V_3))))
% Current number of equations to process: 286
% Current number of ordered equations: 0
% Current number of rules: 2020
% New rule produced :
% [3029]
% t(eta(A),t(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),j(C)))
% <->
% t(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),j(j(A)))),
% j(t(eta(A),C)))
% Current number of equations to process: 287
% Current number of ordered equations: 3
% Current number of rules: 2021
% New rule produced :
% [3030]
% t(eta(A),t(B,j(quotient(quotient(difference(j(C),eta(A)),j(C)),j(j(C))))))
% <->
% t(t(eta(A),B),j(difference(A,quotient(quotient(difference(j(A),j(j(C))),j(A)),
% j(j(A))))))
% Current number of equations to process: 287
% Current number of ordered equations: 2
% Current number of rules: 2022
% New rule produced :
% [3031]
% t(t(eta(A),B),j(difference(A,quotient(quotient(difference(j(A),j(j(C))),j(A)),
% j(j(A)))))) <->
% t(eta(A),t(B,j(quotient(quotient(difference(j(C),eta(A)),j(C)),j(j(C))))))
% Current number of equations to process: 287
% Current number of ordered equations: 1
% Current number of rules: 2023
% New rule produced :
% [3032]
% t(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),j(j(A)))),
% j(t(eta(A),C))) <->
% t(eta(A),t(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),j(C)))
% Current number of equations to process: 287
% Current number of ordered equations: 0
% Current number of rules: 2024
% New rule produced :
% [3033]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% j(
% t(
% quotient(C,
% eta(A)),
% t(
% eta(A),V_3))),
% j(
% eta(A))))))))
% -> t(eta(A),difference(B,j(t(difference(eta(A),C),V_3))))
% Current number of equations to process: 286
% Current number of ordered equations: 0
% Current number of rules: 2025
% New rule produced :
% [3034]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% i(
% t(
% quotient(C,
% eta(A)),
% t(
% eta(A),V_3))),
% j(
% eta(A))))))))
% -> t(eta(A),difference(B,i(t(difference(eta(A),C),V_3))))
% Current number of equations to process: 285
% Current number of ordered equations: 0
% Current number of rules: 2026
% New rule produced :
% [3035]
% t(eta(B),t(j(difference(eta(B),A)),C)) ->
% t(j(quotient(A,eta(B))),t(eta(B),C))
% Current number of equations to process: 301
% Current number of ordered equations: 0
% Current number of rules: 2027
% New rule produced :
% [3036]
% t(eta(A),t(B,j(eta(difference(eta(A),C))))) <->
% t(t(eta(A),B),j(eta(quotient(C,eta(A)))))
% Current number of equations to process: 300
% Current number of ordered equations: 1
% Current number of rules: 2028
% New rule produced :
% [3037]
% t(t(eta(A),B),j(eta(quotient(C,eta(A))))) <->
% t(eta(A),t(B,j(eta(difference(eta(A),C)))))
% Current number of equations to process: 300
% Current number of ordered equations: 0
% Current number of rules: 2029
% New rule produced :
% [3038]
% 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: 298
% Current number of ordered equations: 1
% Current number of rules: 2030
% New rule produced :
% [3039]
% 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: 298
% Current number of ordered equations: 0
% Current number of rules: 2031
% New rule produced :
% [3040]
% t(eta(A),t(t(B,difference(eta(A),C)),j(V_3))) <->
% t(t(t(eta(A),B),quotient(C,eta(A))),j(t(eta(A),V_3)))
% Current number of equations to process: 296
% Current number of ordered equations: 3
% Current number of rules: 2032
% New rule produced :
% [3041]
% t(eta(A),t(B,j(t(C,difference(eta(A),V_3))))) <->
% t(t(eta(A),B),j(t(t(eta(A),C),quotient(V_3,eta(A)))))
% Current number of equations to process: 296
% Current number of ordered equations: 2
% Current number of rules: 2033
% New rule produced :
% [3042]
% t(t(eta(A),B),j(t(t(eta(A),C),quotient(V_3,eta(A))))) <->
% t(eta(A),t(B,j(t(C,difference(eta(A),V_3)))))
% Current number of equations to process: 296
% Current number of ordered equations: 1
% Current number of rules: 2034
% New rule produced :
% [3043]
% t(t(t(eta(A),B),quotient(C,eta(A))),j(t(eta(A),V_3))) <->
% t(eta(A),t(t(B,difference(eta(A),C)),j(V_3)))
% Current number of equations to process: 296
% Current number of ordered equations: 0
% Current number of rules: 2035
% New rule produced :
% [3044]
% t(eta(A),t(B,j(t(difference(eta(A),C),V_3)))) <->
% t(t(eta(A),B),j(t(quotient(C,eta(A)),t(eta(A),V_3))))
% Current number of equations to process: 295
% Current number of ordered equations: 1
% Current number of rules: 2036
% New rule produced :
% [3045]
% t(t(eta(A),B),j(t(quotient(C,eta(A)),t(eta(A),V_3)))) <->
% t(eta(A),t(B,j(t(difference(eta(A),C),V_3))))
% Current number of equations to process: 295
% Current number of ordered equations: 0
% Current number of rules: 2037
% New rule produced :
% [3046]
% t(eta(A),t(j(quotient(B,difference(eta(A),C))),V_3)) <->
% t(j(quotient(t(eta(A),B),quotient(C,eta(A)))),t(eta(A),V_3))
% Current number of equations to process: 293
% Current number of ordered equations: 3
% Current number of rules: 2038
% New rule produced :
% [3047]
% t(eta(A),t(j(B),quotient(C,difference(eta(A),V_3)))) <->
% t(j(t(eta(A),B)),quotient(t(eta(A),C),quotient(V_3,eta(A))))
% Current number of equations to process: 293
% Current number of ordered equations: 2
% Current number of rules: 2039
% New rule produced :
% [3048]
% t(j(quotient(t(eta(A),B),quotient(C,eta(A)))),t(eta(A),V_3)) <->
% t(eta(A),t(j(quotient(B,difference(eta(A),C))),V_3))
% Current number of equations to process: 293
% Current number of ordered equations: 1
% Current number of rules: 2040
% New rule produced :
% [3049]
% t(j(t(eta(A),B)),quotient(t(eta(A),C),quotient(V_3,eta(A)))) <->
% t(eta(A),t(j(B),quotient(C,difference(eta(A),V_3))))
% Current number of equations to process: 293
% Current number of ordered equations: 0
% Current number of rules: 2041
% New rule produced :
% [3050]
% t(eta(A),t(j(B),quotient(difference(eta(A),C),V_3))) <->
% t(j(t(eta(A),B)),quotient(quotient(C,eta(A)),t(eta(A),V_3)))
% Current number of equations to process: 291
% Current number of ordered equations: 2
% Current number of rules: 2042
% New rule produced :
% [3051]
% t(eta(B),t(j(quotient(difference(eta(B),A),C)),V_3)) ->
% t(j(quotient(quotient(A,eta(B)),t(eta(B),C))),t(eta(B),V_3))
% Current number of equations to process: 291
% Current number of ordered equations: 1
% Current number of rules: 2043
% New rule produced :
% [3052]
% t(j(t(eta(A),B)),quotient(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),t(j(B),quotient(difference(eta(A),C),V_3)))
% Current number of equations to process: 291
% Current number of ordered equations: 0
% Current number of rules: 2044
% New rule produced :
% [3053]
% t(eta(A),t(j(B),difference(difference(eta(A),C),V_3))) <->
% t(j(t(eta(A),B)),difference(quotient(C,eta(A)),t(eta(A),V_3)))
% Current number of equations to process: 289
% Current number of ordered equations: 2
% Current number of rules: 2045
% New rule produced :
% [3054]
% t(eta(B),t(j(difference(difference(eta(B),A),C)),V_3)) ->
% t(j(difference(quotient(A,eta(B)),t(eta(B),C))),t(eta(B),V_3))
% Current number of equations to process: 289
% Current number of ordered equations: 1
% Current number of rules: 2046
% New rule produced :
% [3055]
% t(j(t(eta(A),B)),difference(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),t(j(B),difference(difference(eta(A),C),V_3)))
% Current number of equations to process: 289
% Current number of ordered equations: 0
% Current number of rules: 2047
% New rule produced :
% [3056]
% t(eta(A),t(j(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B)))),C))
% <->
% t(j(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),j(j(A))))),
% t(eta(A),C))
% Current number of equations to process: 290
% Current number of ordered equations: 3
% Current number of rules: 2048
% New rule produced :
% [3057]
% t(eta(A),t(j(B),quotient(quotient(difference(j(C),eta(A)),j(C)),j(j(C)))))
% <->
% t(j(t(eta(A),B)),difference(A,quotient(quotient(difference(j(A),j(j(C))),
% j(A)),j(j(A)))))
% Current number of equations to process: 290
% Current number of ordered equations: 2
% Current number of rules: 2049
% New rule produced :
% [3058]
% t(j(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),j(j(A))))),
% t(eta(A),C)) <->
% t(eta(A),t(j(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B)))),C))
% Current number of equations to process: 290
% Current number of ordered equations: 1
% Current number of rules: 2050
% New rule produced :
% [3059]
% t(j(t(eta(A),B)),difference(A,quotient(quotient(difference(j(A),j(j(C))),
% j(A)),j(j(A))))) <->
% t(eta(A),t(j(B),quotient(quotient(difference(j(C),eta(A)),j(C)),j(j(C)))))
% Current number of equations to process: 290
% Current number of ordered equations: 0
% Current number of rules: 2051
% New rule produced :
% [3060]
% t(eta(A),t(B,i(difference(eta(A),C)))) <->
% t(t(eta(A),B),i(quotient(C,eta(A))))
% Current number of equations to process: 308
% Current number of ordered equations: 1
% Current number of rules: 2052
% New rule produced :
% [3061]
% t(t(eta(A),B),i(quotient(C,eta(A)))) <->
% t(eta(A),t(B,i(difference(eta(A),C))))
% Current number of equations to process: 308
% Current number of ordered equations: 0
% Current number of rules: 2053
% New rule produced :
% [3062] 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: 306
% Current number of ordered equations: 1
% Current number of rules: 2054
% New rule produced :
% [3063] 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: 306
% Current number of ordered equations: 0
% Current number of rules: 2055
% New rule produced :
% [3064]
% t(eta(A),t(j(B),eta(difference(eta(A),C)))) <->
% t(j(t(eta(A),B)),eta(quotient(C,eta(A))))
% Current number of equations to process: 304
% Current number of ordered equations: 2
% Current number of rules: 2056
% New rule produced :
% [3065]
% t(eta(B),t(j(eta(difference(eta(B),A))),C)) ->
% t(j(eta(quotient(A,eta(B)))),t(eta(B),C))
% Current number of equations to process: 304
% Current number of ordered equations: 1
% Current number of rules: 2057
% New rule produced :
% [3066]
% t(j(t(eta(A),B)),eta(quotient(C,eta(A)))) <->
% t(eta(A),t(j(B),eta(difference(eta(A),C))))
% Current number of equations to process: 304
% Current number of ordered equations: 0
% Current number of rules: 2058
% New rule produced :
% [3067]
% 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: 302
% Current number of ordered equations: 1
% Current number of rules: 2059
% New rule produced :
% [3068]
% 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: 302
% Current number of ordered equations: 0
% Current number of rules: 2060
% New rule produced :
% [3069]
% t(eta(A),t(j(t(B,difference(eta(A),C))),V_3)) <->
% t(j(t(t(eta(A),B),quotient(C,eta(A)))),t(eta(A),V_3))
% Current number of equations to process: 300
% Current number of ordered equations: 3
% Current number of rules: 2061
% New rule produced :
% [3070]
% t(eta(A),t(j(B),t(C,difference(eta(A),V_3)))) <->
% t(j(t(eta(A),B)),t(t(eta(A),C),quotient(V_3,eta(A))))
% Current number of equations to process: 300
% Current number of ordered equations: 2
% Current number of rules: 2062
% New rule produced :
% [3071]
% t(j(t(eta(A),B)),t(t(eta(A),C),quotient(V_3,eta(A)))) <->
% t(eta(A),t(j(B),t(C,difference(eta(A),V_3))))
% Current number of equations to process: 300
% Current number of ordered equations: 1
% Current number of rules: 2063
% New rule produced :
% [3072]
% t(j(t(t(eta(A),B),quotient(C,eta(A)))),t(eta(A),V_3)) <->
% t(eta(A),t(j(t(B,difference(eta(A),C))),V_3))
% Current number of equations to process: 300
% Current number of ordered equations: 0
% Current number of rules: 2064
% New rule produced :
% [3073]
% t(eta(A),t(j(B),t(difference(eta(A),C),V_3))) <->
% t(j(t(eta(A),B)),t(quotient(C,eta(A)),t(eta(A),V_3)))
% Current number of equations to process: 298
% Current number of ordered equations: 2
% Current number of rules: 2065
% New rule produced :
% [3074]
% t(eta(B),t(j(t(difference(eta(B),A),C)),V_3)) ->
% t(j(t(quotient(A,eta(B)),t(eta(B),C))),t(eta(B),V_3))
% Current number of equations to process: 298
% Current number of ordered equations: 1
% Current number of rules: 2066
% New rule produced :
% [3075]
% t(j(t(eta(A),B)),t(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),t(j(B),t(difference(eta(A),C),V_3)))
% Current number of equations to process: 298
% Current number of ordered equations: 0
% Current number of rules: 2067
% New rule produced :
% [3076]
% t(eta(A),t(quotient(B,difference(eta(A),C)),i(V_3))) <->
% t(quotient(t(eta(A),B),quotient(C,eta(A))),i(t(eta(A),V_3)))
% Current number of equations to process: 296
% Current number of ordered equations: 3
% Current number of rules: 2068
% New rule produced :
% [3077]
% t(eta(A),t(B,i(quotient(C,difference(eta(A),V_3))))) <->
% t(t(eta(A),B),i(quotient(t(eta(A),C),quotient(V_3,eta(A)))))
% Current number of equations to process: 296
% Current number of ordered equations: 2
% Current number of rules: 2069
% New rule produced :
% [3078]
% t(t(eta(A),B),i(quotient(t(eta(A),C),quotient(V_3,eta(A))))) <->
% t(eta(A),t(B,i(quotient(C,difference(eta(A),V_3)))))
% Current number of equations to process: 296
% Current number of ordered equations: 1
% Current number of rules: 2070
% New rule produced :
% [3079]
% t(quotient(t(eta(A),B),quotient(C,eta(A))),i(t(eta(A),V_3))) <->
% t(eta(A),t(quotient(B,difference(eta(A),C)),i(V_3)))
% Current number of equations to process: 296
% Current number of ordered equations: 0
% Current number of rules: 2071
% New rule produced :
% [3080]
% t(eta(A),t(B,i(quotient(difference(eta(A),C),V_3)))) <->
% t(t(eta(A),B),i(quotient(quotient(C,eta(A)),t(eta(A),V_3))))
% Current number of equations to process: 295
% Current number of ordered equations: 1
% Current number of rules: 2072
% New rule produced :
% [3081]
% t(t(eta(A),B),i(quotient(quotient(C,eta(A)),t(eta(A),V_3)))) <->
% t(eta(A),t(B,i(quotient(difference(eta(A),C),V_3))))
% Current number of equations to process: 295
% Current number of ordered equations: 0
% Current number of rules: 2073
% New rule produced :
% [3082]
% t(eta(A),t(B,i(difference(difference(eta(A),C),V_3)))) <->
% t(t(eta(A),B),i(difference(quotient(C,eta(A)),t(eta(A),V_3))))
% Current number of equations to process: 294
% Current number of ordered equations: 1
% Current number of rules: 2074
% New rule produced :
% [3083]
% t(t(eta(A),B),i(difference(quotient(C,eta(A)),t(eta(A),V_3)))) <->
% t(eta(A),t(B,i(difference(difference(eta(A),C),V_3))))
% Current number of equations to process: 294
% Current number of ordered equations: 0
% Current number of rules: 2075
% New rule produced :
% [3084]
% t(eta(A),t(B,i(quotient(quotient(difference(j(C),eta(A)),j(C)),j(j(C))))))
% <-> t(t(eta(A),B),quotient(j(C),eta(A)))
% Current number of equations to process: 293
% Current number of ordered equations: 1
% Current number of rules: 2076
% New rule produced :
% [3085]
% t(t(eta(A),B),quotient(j(C),eta(A))) <->
% t(eta(A),t(B,i(quotient(quotient(difference(j(C),eta(A)),j(C)),j(j(C))))))
% Current number of equations to process: 293
% Current number of ordered equations: 0
% Current number of rules: 2077
% New rule produced :
% [3086]
% t(eta(A),t(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),i(C)))
% <->
% t(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),j(j(A)))),
% i(t(eta(A),C)))
% Current number of equations to process: 294
% Current number of ordered equations: 1
% Current number of rules: 2078
% New rule produced :
% [3087]
% t(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),j(j(A)))),
% i(t(eta(A),C))) <->
% t(eta(A),t(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),i(C)))
% Current number of equations to process: 294
% Current number of ordered equations: 0
% Current number of rules: 2079
% New rule produced :
% [3088]
% t(eta(B),t(i(difference(eta(B),A)),C)) ->
% t(i(quotient(A,eta(B))),t(eta(B),C))
% Current number of equations to process: 309
% Current number of ordered equations: 0
% Current number of rules: 2080
% New rule produced :
% [3089] 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: 308
% Current number of ordered equations: 0
% Current number of rules: 2081
% New rule produced :
% [3090]
% 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: 307
% Current number of ordered equations: 0
% Current number of rules: 2082
% New rule produced :
% [3091]
% t(eta(A),t(t(B,difference(eta(A),C)),i(V_3))) <->
% t(t(t(eta(A),B),quotient(C,eta(A))),i(t(eta(A),V_3)))
% Current number of equations to process: 305
% Current number of ordered equations: 3
% Current number of rules: 2083
% New rule produced :
% [3092]
% t(eta(A),t(B,i(t(C,difference(eta(A),V_3))))) <->
% t(t(eta(A),B),i(t(t(eta(A),C),quotient(V_3,eta(A)))))
% Current number of equations to process: 305
% Current number of ordered equations: 2
% Current number of rules: 2084
% New rule produced :
% [3093]
% t(t(eta(A),B),i(t(t(eta(A),C),quotient(V_3,eta(A))))) <->
% t(eta(A),t(B,i(t(C,difference(eta(A),V_3)))))
% Current number of equations to process: 305
% Current number of ordered equations: 1
% Current number of rules: 2085
% New rule produced :
% [3094]
% t(t(t(eta(A),B),quotient(C,eta(A))),i(t(eta(A),V_3))) <->
% t(eta(A),t(t(B,difference(eta(A),C)),i(V_3)))
% Current number of equations to process: 305
% Current number of ordered equations: 0
% Current number of rules: 2086
% New rule produced :
% [3095]
% t(eta(A),t(B,i(t(difference(eta(A),C),V_3)))) <->
% t(t(eta(A),B),i(t(quotient(C,eta(A)),t(eta(A),V_3))))
% Current number of equations to process: 304
% Current number of ordered equations: 1
% Current number of rules: 2087
% New rule produced :
% [3096]
% t(t(eta(A),B),i(t(quotient(C,eta(A)),t(eta(A),V_3)))) <->
% t(eta(A),t(B,i(t(difference(eta(A),C),V_3))))
% Current number of equations to process: 304
% Current number of ordered equations: 0
% Current number of rules: 2088
% New rule produced :
% [3097]
% t(eta(A),t(i(quotient(B,difference(eta(A),C))),V_3)) <->
% t(i(quotient(t(eta(A),B),quotient(C,eta(A)))),t(eta(A),V_3))
% Current number of equations to process: 302
% Current number of ordered equations: 3
% Current number of rules: 2089
% New rule produced :
% [3098]
% t(eta(A),t(i(B),quotient(C,difference(eta(A),V_3)))) <->
% t(i(t(eta(A),B)),quotient(t(eta(A),C),quotient(V_3,eta(A))))
% Current number of equations to process: 302
% Current number of ordered equations: 2
% Current number of rules: 2090
% New rule produced :
% [3099]
% t(i(quotient(t(eta(A),B),quotient(C,eta(A)))),t(eta(A),V_3)) <->
% t(eta(A),t(i(quotient(B,difference(eta(A),C))),V_3))
% Current number of equations to process: 302
% Current number of ordered equations: 1
% Current number of rules: 2091
% New rule produced :
% [3100]
% t(i(t(eta(A),B)),quotient(t(eta(A),C),quotient(V_3,eta(A)))) <->
% t(eta(A),t(i(B),quotient(C,difference(eta(A),V_3))))
% Current number of equations to process: 302
% Current number of ordered equations: 0
% Current number of rules: 2092
% New rule produced :
% [3101]
% t(eta(A),t(i(B),quotient(difference(eta(A),C),V_3))) <->
% t(i(t(eta(A),B)),quotient(quotient(C,eta(A)),t(eta(A),V_3)))
% Current number of equations to process: 300
% Current number of ordered equations: 2
% Current number of rules: 2093
% New rule produced :
% [3102]
% t(eta(B),t(i(quotient(difference(eta(B),A),C)),V_3)) ->
% t(i(quotient(quotient(A,eta(B)),t(eta(B),C))),t(eta(B),V_3))
% Current number of equations to process: 300
% Current number of ordered equations: 1
% Current number of rules: 2094
% New rule produced :
% [3103]
% t(i(t(eta(A),B)),quotient(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),t(i(B),quotient(difference(eta(A),C),V_3)))
% Current number of equations to process: 300
% Current number of ordered equations: 0
% Current number of rules: 2095
% New rule produced :
% [3104]
% t(eta(A),t(i(B),difference(difference(eta(A),C),V_3))) <->
% t(i(t(eta(A),B)),difference(quotient(C,eta(A)),t(eta(A),V_3)))
% Current number of equations to process: 298
% Current number of ordered equations: 2
% Current number of rules: 2096
% New rule produced :
% [3105]
% t(eta(B),t(i(difference(difference(eta(B),A),C)),V_3)) ->
% t(i(difference(quotient(A,eta(B)),t(eta(B),C))),t(eta(B),V_3))
% Current number of equations to process: 298
% Current number of ordered equations: 1
% Current number of rules: 2097
% New rule produced :
% [3106]
% t(i(t(eta(A),B)),difference(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),t(i(B),difference(difference(eta(A),C),V_3)))
% Current number of equations to process: 298
% Current number of ordered equations: 0
% Current number of rules: 2098
% New rule produced :
% [3107]
% t(eta(B),t(i(quotient(quotient(difference(j(A),eta(B)),j(A)),j(j(A)))),C)) ->
% t(quotient(j(A),eta(B)),t(eta(B),C))
% Current number of equations to process: 297
% Current number of ordered equations: 0
% Current number of rules: 2099
% New rule produced :
% [3108]
% t(eta(A),t(i(B),quotient(quotient(difference(j(C),eta(A)),j(C)),j(j(C)))))
% <->
% t(i(t(eta(A),B)),difference(A,quotient(quotient(difference(j(A),j(j(C))),
% j(A)),j(j(A)))))
% Current number of equations to process: 296
% Current number of ordered equations: 1
% Current number of rules: 2100
% New rule produced :
% [3109]
% t(i(t(eta(A),B)),difference(A,quotient(quotient(difference(j(A),j(j(C))),
% j(A)),j(j(A))))) <->
% t(eta(A),t(i(B),quotient(quotient(difference(j(C),eta(A)),j(C)),j(j(C)))))
% Current number of equations to process: 296
% Current number of ordered equations: 0
% Current number of rules: 2101
% New rule produced : [3110] t(eta(A),t(j(j(j(A))),A)) -> j(j(A))
% Current number of equations to process: 304
% Current number of ordered equations: 0
% Current number of rules: 2102
% New rule produced :
% [3111] quotient(i(i(i(i(A)))),i(A)) -> t(eta(A),quotient(A,j(j(j(A)))))
% Current number of equations to process: 306
% Current number of ordered equations: 0
% Current number of rules: 2103
% New rule produced :
% [3112] quotient(j(t(eta(A),B)),i(A)) -> t(eta(A),quotient(j(B),j(j(j(A)))))
% Current number of equations to process: 306
% Current number of ordered equations: 0
% Current number of rules: 2104
% New rule produced :
% [3113] quotient(i(t(eta(A),B)),i(A)) -> t(eta(A),quotient(i(B),j(j(j(A)))))
% Current number of equations to process: 305
% Current number of ordered equations: 0
% Current number of rules: 2105
% New rule produced :
% [3114]
% t(eta(A),t(i(B),eta(difference(eta(A),C)))) <->
% t(i(t(eta(A),B)),eta(quotient(C,eta(A))))
% Current number of equations to process: 304
% Current number of ordered equations: 1
% Current number of rules: 2106
% New rule produced :
% [3115]
% t(i(t(eta(A),B)),eta(quotient(C,eta(A)))) <->
% t(eta(A),t(i(B),eta(difference(eta(A),C))))
% Current number of equations to process: 304
% Current number of ordered equations: 0
% Current number of rules: 2107
% New rule produced :
% [3116]
% quotient(quotient(t(eta(A),B),j(A)),j(j(A))) ->
% t(eta(A),quotient(quotient(B,j(A)),j(j(A))))
% Current number of equations to process: 303
% Current number of ordered equations: 0
% Current number of rules: 2108
% New rule produced :
% [3117]
% 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: 302
% Current number of ordered equations: 0
% Current number of rules: 2109
% New rule produced :
% [3118]
% t(eta(A),quotient(quotient(B,difference(eta(A),C)),j(j(j(A))))) <->
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),i(A))
% Current number of equations to process: 301
% Current number of ordered equations: 1
% Current number of rules: 2110
% New rule produced :
% [3119]
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),i(A)) <->
% t(eta(A),quotient(quotient(B,difference(eta(A),C)),j(j(j(A)))))
% Current number of equations to process: 301
% Current number of ordered equations: 0
% Current number of rules: 2111
% New rule produced :
% [3120]
% t(eta(A),t(i(t(B,difference(eta(A),C))),V_3)) <->
% t(i(t(t(eta(A),B),quotient(C,eta(A)))),t(eta(A),V_3))
% Current number of equations to process: 299
% Current number of ordered equations: 3
% Current number of rules: 2112
% New rule produced :
% [3121]
% t(eta(A),t(i(B),t(C,difference(eta(A),V_3)))) <->
% t(i(t(eta(A),B)),t(t(eta(A),C),quotient(V_3,eta(A))))
% Current number of equations to process: 299
% Current number of ordered equations: 2
% Current number of rules: 2113
% New rule produced :
% [3122]
% t(i(t(eta(A),B)),t(t(eta(A),C),quotient(V_3,eta(A)))) <->
% t(eta(A),t(i(B),t(C,difference(eta(A),V_3))))
% Current number of equations to process: 299
% Current number of ordered equations: 1
% Current number of rules: 2114
% New rule produced :
% [3123]
% t(i(t(t(eta(A),B),quotient(C,eta(A)))),t(eta(A),V_3)) <->
% t(eta(A),t(i(t(B,difference(eta(A),C))),V_3))
% Current number of equations to process: 299
% Current number of ordered equations: 0
% Current number of rules: 2115
% New rule produced :
% [3124]
% t(eta(A),t(i(B),t(difference(eta(A),C),V_3))) <->
% t(i(t(eta(A),B)),t(quotient(C,eta(A)),t(eta(A),V_3)))
% Current number of equations to process: 297
% Current number of ordered equations: 2
% Current number of rules: 2116
% New rule produced :
% [3125]
% t(eta(B),t(i(t(difference(eta(B),A),C)),V_3)) ->
% t(i(t(quotient(A,eta(B)),t(eta(B),C))),t(eta(B),V_3))
% Current number of equations to process: 297
% Current number of ordered equations: 1
% Current number of rules: 2117
% New rule produced :
% [3126]
% t(i(t(eta(A),B)),t(quotient(C,eta(A)),t(eta(A),V_3))) <->
% t(eta(A),t(i(B),t(difference(eta(A),C),V_3)))
% Current number of equations to process: 297
% Current number of ordered equations: 0
% Current number of rules: 2118
% New rule produced :
% [3127]
% t(i(A),difference(j(A),j(j(B)))) <->
% t(eta(A),quotient(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% j(j(j(A)))))
% Current number of equations to process: 296
% Current number of ordered equations: 1
% Current number of rules: 2119
% New rule produced :
% [3128]
% t(eta(A),quotient(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% j(j(j(A))))) <-> t(i(A),difference(j(A),j(j(B))))
% Current number of equations to process: 296
% Current number of ordered equations: 0
% Current number of rules: 2120
% Rule [1943] quotient(difference(A,j(j(j(j(A))))),i(A)) -> t(i(A),j(j(A))) is composed into
% [1943] quotient(difference(A,j(j(j(j(A))))),i(A)) -> i(i(i(i(A))))
% Rule [897] quotient(quotient(eta(A),j(eta(A))),i(A)) -> t(i(A),j(j(A))) is composed into
% [897] quotient(quotient(eta(A),j(eta(A))),i(A)) -> i(i(i(i(A))))
% New rule produced : [3129] t(i(A),j(j(A))) -> i(i(i(i(A))))
% Rule [2325] difference(t(i(A),j(j(A))),quotient(eta(A),j(eta(A)))) -> i(A)
% collapsed.
% Rule
% [2326]
% quotient(quotient(eta(A),j(eta(A))),t(i(A),j(j(A)))) ->
% t(t(i(A),j(j(A))),i(A)) collapsed.
% Rule
% [2329]
% difference(t(t(i(A),j(j(A))),i(A)),quotient(eta(A),j(eta(A)))) ->
% t(i(A),j(j(A))) collapsed.
% Current number of equations to process: 297
% Current number of ordered equations: 0
% Current number of rules: 2118
% New rule produced :
% [3130] difference(i(i(A)),difference(i(A),j(j(j(j(A)))))) -> j(j(A))
% Current number of equations to process: 312
% Current number of ordered equations: 0
% Current number of rules: 2119
% New rule produced :
% [3131] difference(i(i(i(A))),difference(i(i(A)),j(j(j(A))))) -> j(A)
% Current number of equations to process: 311
% Current number of ordered equations: 0
% Current number of rules: 2120
% New rule produced :
% [3132]
% difference(i(i(A)),difference(i(A),quotient(j(B),j(A)))) <->
% quotient(quotient(difference(B,A),B),j(B))
% Current number of equations to process: 312
% Current number of ordered equations: 1
% Current number of rules: 2121
% New rule produced :
% [3133]
% quotient(quotient(difference(B,A),B),j(B)) <->
% difference(i(i(A)),difference(i(A),quotient(j(B),j(A))))
% Rule
% [1794]
% difference(quotient(quotient(difference(eta(difference(A,difference(j(A),
% quotient(t(A,B),
% j(A))))),A),
% eta(difference(A,difference(j(A),quotient(t(A,B),j(A)))))),
% j(eta(difference(A,difference(j(A),quotient(t(A,B),j(A))))))),
% j(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))) ->
% quotient(quotient(difference(B,difference(j(B),quotient(t(B,quotient(
% quotient(
% difference(
% eta(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),A),
% eta(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))),
% j(eta(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))),
% j(B)))),A),j(eta(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))
% collapsed.
% Current number of equations to process: 313
% Current number of ordered equations: 0
% Current number of rules: 2121
% New rule produced :
% [3134]
% difference(eta(A),difference(A,quotient(quotient(difference(j(A),B),j(A)),
% j(j(A))))) -> B
% Rule
% [2273]
% t(eta(A),quotient(difference(B,difference(eta(A),difference(A,quotient(
% quotient(
% difference(
% j(A),quotient(
% quotient(
% eta(A),
% j(B)),
% j(
% j(B)))),
% j(A)),j(j(A)))))),
% i(B))) -> t(eta(A),t(i(B),eta(A))) collapsed.
% Rule
% [2407]
% t(eta(A),difference(j(eta(B)),difference(eta(B),difference(eta(A),difference(A,
% quotient(
% quotient(
% difference(
% j(A),
% i(quotient(
% eta(B),
% j(
% eta(B))))),
% j(A)),
% j(j(A))))))))
% -> i(t(eta(A),quotient(eta(B),j(eta(B))))) collapsed.
% Rule
% [2567]
% t(eta(A),difference(B,difference(eta(A),difference(A,quotient(quotient(
% difference(
% j(A),j(C)),
% j(A)),j(j(A)))))))
% -> t(eta(A),difference(B,j(C))) collapsed.
% Rule
% [2625]
% t(eta(A),difference(B,difference(eta(A),difference(A,quotient(quotient(
% difference(
% j(A),quotient(
% quotient(
% difference(
% i(B),
% eta(A)),
% j(B)),
% j(
% j(B)))),
% j(A)),j(j(A)))))))
% -> eta(A) collapsed.
% Rule
% [2627]
% t(eta(A),quotient(difference(B,difference(eta(A),difference(A,quotient(
% quotient(
% difference(
% j(A),quotient(
% quotient(C,
% j(B)),
% j(
% j(B)))),
% j(A)),j(j(A)))))),C))
% -> i(t(eta(A),B)) collapsed.
% Rule
% [2628]
% t(eta(A),difference(i(B),difference(B,difference(eta(A),difference(A,
% quotient(quotient(
% difference(
% j(A),
% quotient(
% quotient(C,
% j(B)),
% j(j(B)))),
% j(A)),
% j(j(A)))))))) ->
% t(eta(A),C) collapsed.
% Rule
% [2651]
% t(eta(A),difference(eta(B),difference(eta(A),difference(A,quotient(quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A))))))) ->
% j(j(t(eta(A),B))) collapsed.
% Rule
% [2663]
% t(eta(A),difference(B,difference(eta(A),difference(A,quotient(quotient(
% difference(
% j(A),i(C)),
% j(A)),j(j(A)))))))
% -> t(eta(A),difference(B,i(C))) collapsed.
% Current number of equations to process: 312
% Current number of ordered equations: 0
% Current number of rules: 2114
% Rule [1810]
% difference(eta(A),difference(A,quotient(difference(quotient(quotient(
% difference(A,B),A),
% j(A)),quotient(
% quotient(
% difference(A,
% j(j(C))),A),
% j(A))),
% j(j(A))))) <->
% quotient(quotient(difference(A,quotient(difference(difference(B,
% quotient(quotient(
% difference(
% j(C),
% j(A)),
% j(C)),
% j(j(C)))),difference(
% j(difference(B,
% quotient(
% quotient(
% difference(
% j(C),
% j(A)),
% j(C)),
% j(
% j(C))))),
% quotient(
% t(difference(B,
% quotient(
% quotient(
% difference(
% j(C),
% j(A)),
% j(C)),
% j(
% j(C)))),x2),
% j(difference(B,
% quotient(
% quotient(
% difference(
% j(C),
% j(A)),
% j(C)),
% j(
% j(C)))))))),
% quotient(difference(eta(A),difference(x2,
% difference(
% j(x2),
% quotient(
% t(x2,difference(B,
% quotient(
% quotient(
% difference(
% j(C),
% j(A)),
% j(C)),
% j(
% j(C))))),
% j(x2))))),
% difference(B,quotient(quotient(difference(
% j(C),
% j(A)),
% j(C)),j(j(C))))))),A),
% i(A)) is composed into [1810]
% difference(eta(A),difference(A,quotient(difference(
% quotient(
% quotient(
% difference(A,B),A),
% j(A)),
% quotient(
% quotient(
% difference(A,
% j(
% j(C))),A),
% j(A))),
% j(j(A))))) <->
% quotient(quotient(difference(A,quotient(difference(
% i(
% i(x2)),
% difference(
% i(x2),
% quotient(
% difference(B,
% quotient(
% quotient(
% difference(
% j(C),
% j(A)),
% j(C)),
% j(
% j(C)))),
% j(x2)))),
% quotient(difference(
% eta(A),
% difference(x2,
% difference(
% j(x2),
% quotient(
% t(x2,
% difference(B,
% quotient(
% quotient(
% difference(
% j(C),
% j(A)),
% j(C)),
% j(
% j(C))))),
% j(x2))))),
% difference(B,
% quotient(quotient(
% difference(
% j(C),
% j(A)),
% j(C)),
% j(j(C))))))),A),
% i(A))
% Rule [1798]
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,A),
% j(C)))),difference(
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% quotient(
% t(difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C)))),B),
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C)))))))))
% <->
% quotient(difference(t(A,difference(B,difference(j(B),quotient(t(B,C),
% j(B))))),difference(
% j(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))))),
% quotient(
% t(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),A),
% j(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))))))),C) is composed into
% [1798]
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,A),j(C)))),
% difference(j(difference(C,difference(j(C),quotient(t(C,A),j(C))))),
% quotient(t(difference(C,difference(j(C),quotient(t(C,A),j(C)))),B),
% j(difference(C,difference(j(C),quotient(t(C,A),j(C))))))))) <->
% quotient(difference(i(i(A)),difference(i(A),quotient(t(A,difference(B,
% difference(j(B),
% quotient(t(B,C),
% j(B))))),j(A)))),C)
% Rule [1778]
% difference(A,difference(j(A),difference(quotient(quotient(difference(A,B),A),
% j(A)),quotient(quotient(
% difference(A,
% j(j(C))),A),
% j(A))))) <->
% difference(difference(B,quotient(quotient(difference(j(C),j(A)),j(C)),
% j(j(C)))),difference(j(difference(B,quotient(
% quotient(
% difference(
% j(C),
% j(A)),
% j(C)),
% j(j(C))))),
% quotient(t(difference(B,quotient(
% quotient(
% difference(
% j(C),j(A)),
% j(C)),
% j(j(C)))),A),
% j(difference(B,quotient(quotient(
% difference(
% j(C),j(A)),
% j(C)),
% j(j(C)))))))) is composed into
% [1778]
% difference(A,difference(j(A),difference(quotient(quotient(difference(A,B),A),
% j(A)),quotient(quotient(difference(A,
% j(j(C))),A),
% j(A))))) <->
% difference(i(i(A)),difference(i(A),quotient(difference(B,quotient(quotient(
% difference(
% j(C),
% j(A)),
% j(C)),
% j(j(C)))),j(A))))
% Rule [1726]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,
% difference(j(C),
% quotient(t(C,A),
% j(C))))),j(B)))),A)
% <->
% difference(A,difference(difference(A,difference(j(A),quotient(t(A,B),
% j(A)))),difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(
% t(A,B),
% difference(
% j(
% t(A,B)),
% quotient(
% t(
% t(A,B),A),
% j(
% t(A,B)))))))))) is composed into
% [1726]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A) <->
% difference(A,difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(i(i(A)),difference(i(A),quotient(t(A,B),j(A)))))))))
% Rule [1725]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,
% difference(j(C),
% quotient(t(C,A),
% j(C))))),j(B)))),A)
% <->
% difference(A,difference(difference(A,difference(j(A),quotient(t(A,B),
% j(A)))),difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(
% t(A,B),
% difference(
% j(
% t(A,B)),
% quotient(
% t(
% t(A,B),A),
% j(
% t(A,B))))),C),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))) is composed into
% [1725]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A) <->
% difference(A,difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(i(i(A)),difference(i(A),quotient(t(A,B),
% j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))))
% Rule [1724]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,
% difference(j(C),
% quotient(t(C,A),
% j(C))))),j(B)))),A)
% <->
% difference(A,difference(difference(A,difference(j(A),quotient(t(A,B),
% j(A)))),difference(
% j(difference(
% t(A,B),
% difference(
% j(
% t(A,B)),
% quotient(
% t(
% t(A,B),A),
% j(
% t(A,B)))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))) is composed into
% [1724]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A) <->
% difference(A,difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(i(i(A)),difference(i(A),quotient(
% t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))))
% Rule [1723]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,
% difference(j(C),
% quotient(t(C,A),
% j(C))))),j(B)))),A)
% <->
% difference(A,difference(difference(t(A,B),difference(j(t(A,B)),quotient(
% t(
% t(A,B),A),
% j(
% t(A,B))))),
% difference(j(difference(A,difference(j(A),quotient(
% t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),
% j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))))) is composed into
% [1723]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A) <->
% difference(A,difference(difference(i(i(A)),difference(i(A),quotient(t(A,B),
% j(A)))),difference(
% j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))))
% Rule [1699]
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,A),
% j(C)))),difference(
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% quotient(
% t(difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C)))),B),
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C)))))))))
% <->
% quotient(difference(A,difference(j(A),quotient(t(A,difference(t(B,C),
% difference(j(t(B,C)),
% quotient(t(t(B,C),B),
% j(t(B,C)))))),
% j(A)))),C) is composed into
% [1699]
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,A),j(C)))),
% difference(j(difference(C,difference(j(C),quotient(t(C,A),j(C))))),
% quotient(t(difference(C,difference(j(C),quotient(t(C,A),j(C)))),B),
% j(difference(C,difference(j(C),quotient(t(C,A),j(C))))))))) <->
% quotient(difference(A,difference(j(A),quotient(t(A,difference(i(i(B)),
% difference(i(B),quotient(
% t(B,C),
% j(B))))),
% j(A)))),C)
% Rule [1603]
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))),B),A) <->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(A,difference(j(A),quotient(t(A,difference(t(B,C),difference(
% j(t(B,C)),
% quotient(
% t(t(B,C),B),
% j(t(B,C)))))),
% j(A))))) is composed into [1603]
% quotient(
% quotient(
% difference(C,
% difference(
% j(C),quotient(
% t(C,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))),B),A)
% <->
% difference(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(A,
% difference(
% j(A),quotient(
% t(A,
% difference(
% i(i(B)),
% difference(
% i(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))))
% Rule [1602]
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))),B),A) <->
% difference(difference(t(A,B),difference(j(t(A,B)),quotient(t(t(A,B),A),
% j(t(A,B))))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))) is composed into
% [1602]
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(C)))),B),A) <->
% difference(difference(i(i(A)),difference(i(A),quotient(t(A,B),j(A)))),
% difference(A,difference(j(A),quotient(t(A,difference(B,difference(j(B),
% quotient(t(B,C),
% j(B))))),j(A)))))
% Rule [1574]
% difference(difference(B,difference(j(B),quotient(t(B,C),j(B)))),
% difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),quotient(
% t(C,A),
% j(C))))),
% j(B))))) <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(
% t(B,C),
% difference(
% j(t(B,C)),
% quotient(
% t(t(B,C),B),
% j(t(B,C)))))),
% j(A)))),C),B) is composed into
% [1574]
% difference(difference(B,difference(j(B),quotient(t(B,C),j(B)))),difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B))))) <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(
% i(i(B)),difference(
% i(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),C),B)
% Rule [1434]
% difference(j(t(quotient(A,B),B)),quotient(t(t(quotient(A,B),B),quotient(A,B)),
% j(t(quotient(A,B),B)))) ->
% difference(t(quotient(A,B),B),difference(j(t(quotient(A,B),B)),quotient(
% t(
% t(
% quotient(A,B),B),A),
% j(
% t(
% quotient(A,B),B))))) is composed into
% [1434]
% difference(j(t(quotient(A,B),B)),quotient(t(t(quotient(A,B),B),quotient(A,B)),
% j(t(quotient(A,B),B)))) ->
% difference(i(i(A)),difference(i(A),quotient(t(quotient(A,B),B),j(A))))
% Rule [1238]
% difference(j(quotient(A,B)),quotient(t(quotient(A,B),B),j(quotient(A,B))))
% <->
% difference(quotient(A,B),difference(j(quotient(A,B)),quotient(t(
% quotient(A,B),A),
% j(quotient(A,B))))) is composed into
% [1238]
% difference(j(quotient(A,B)),quotient(t(quotient(A,B),B),j(quotient(A,B)))) ->
% difference(i(i(A)),difference(i(A),quotient(quotient(A,B),j(A))))
% New rule produced :
% [3135]
% difference(B,difference(j(B),quotient(t(B,A),j(B)))) <->
% difference(i(i(A)),difference(i(A),quotient(B,j(A))))
% Rule
% [879]
% difference(quotient(A,B),difference(j(quotient(A,B)),quotient(t(quotient(A,B),B),
% j(quotient(A,B))))) -> A
% collapsed.
% Rule
% [898]
% difference(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))),
% difference(A,difference(j(A),quotient(t(A,quotient(difference(quotient(
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A),
% difference(j(quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% quotient(t(quotient(
% difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A),x2),
% j(quotient(difference(B,
% difference(
% j(B),quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A))))),
% quotient(difference(eta(A),
% difference(x2,difference(
% j(x2),
% quotient(
% t(x2,
% quotient(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)),
% j(x2))))),
% quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A)))),
% j(A))))) -> eta(A) collapsed.
% Rule
% [916]
% quotient(difference(difference(j(j(A)),difference(quotient(quotient(difference(
% j(A),B),
% j(A)),j(j(A))),
% difference(j(quotient(quotient(
% difference(
% j(A),B),
% j(A)),j(j(A)))),
% quotient(t(quotient(quotient(difference(
% j(A),B),
% j(A)),j(j(A))),C),
% j(quotient(quotient(difference(j(A),B),
% j(A)),j(j(A)))))))),
% difference(j(difference(j(j(A)),difference(quotient(quotient(
% difference(
% j(A),B),
% j(A)),j(j(A))),
% difference(j(quotient(quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A)))),quotient(
% t(quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A))),C),
% j(quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A))))))))),
% quotient(t(difference(j(j(A)),difference(quotient(quotient(difference(
% j(A),B),
% j(A)),j(j(A))),
% difference(j(quotient(quotient(
% difference(
% j(A),B),
% j(A)),j(j(A)))),
% quotient(t(quotient(quotient(difference(
% j(A),B),
% j(A)),j(j(A))),C),
% j(quotient(quotient(difference(j(A),B),
% j(A)),j(j(A)))))))),x2),
% j(difference(j(j(A)),difference(quotient(quotient(difference(j(A),B),
% j(A)),j(j(A))),difference(
% j(quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(
% j(A)))),
% quotient(
% t(quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(
% j(A))),C),
% j(quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(
% j(A)))))))))))),
% quotient(difference(j(j(A)),difference(x2,difference(j(x2),quotient(t(x2,
% difference(
% j(
% j(A)),
% difference(
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(
% j(A))),
% difference(
% j(
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(
% j(A)))),
% quotient(
% t(
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(
% j(A))),C),
% j(
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(
% j(A))))))))),
% j(x2))))),
% difference(j(j(A)),difference(quotient(quotient(difference(j(A),B),j(A)),
% j(j(A))),difference(j(quotient(quotient(
% difference(
% j(A),B),
% j(A)),j(j(A)))),
% quotient(t(quotient(quotient(difference(
% j(A),B),
% j(A)),j(j(A))),C),
% j(quotient(quotient(difference(j(A),B),
% j(A)),j(j(A)))))))))) ->
% difference(B,difference(j(B),quotient(t(B,difference(C,difference(j(C),
% quotient(t(C,j(j(A))),
% j(C))))),j(B))))
% collapsed.
% Rule
% [1091]
% difference(A,difference(t(A,B),difference(j(t(A,B)),quotient(t(t(A,B),A),
% j(t(A,B)))))) -> B
% collapsed.
% Rule
% [1092]
% quotient(difference(t(A,B),difference(j(t(A,B)),quotient(t(t(A,B),A),
% j(t(A,B))))),B) -> A
% collapsed.
% Rule
% [1164]
% quotient(difference(t(quotient(A,B),B),difference(j(t(quotient(A,B),B)),
% quotient(t(t(quotient(A,B),B),B),
% j(t(quotient(A,B),B))))),quotient(
% difference(
% quotient(A,B),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,t(
% quotient(A,B),B)),
% j(B))))),
% t(quotient(A,B),B)))
% -> A collapsed.
% Rule
% [1184]
% difference(difference(A,B),difference(j(difference(A,B)),quotient(t(difference(A,B),B),
% j(difference(A,B)))))
% -> difference(j(difference(A,B)),quotient(A,j(difference(A,B)))) collapsed.
% Rule
% [1237]
% difference(quotient(A,B),difference(j(quotient(A,B)),quotient(t(quotient(A,B),A),
% j(quotient(A,B))))) <->
% difference(j(quotient(A,B)),quotient(t(quotient(A,B),B),j(quotient(A,B))))
% collapsed.
% Rule
% [1275]
% difference(C,difference(j(C),quotient(t(C,difference(difference(difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),B),
% difference(j(difference(difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),B)),
% quotient(t(difference(difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),B),A),
% j(difference(difference(A,difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),B)))))),
% j(C)))) ->
% quotient(difference(i(difference(A,B)),B),difference(A,B)) collapsed.
% Rule
% [1365]
% quotient(quotient(difference(A,quotient(difference(difference(i(A),B),
% difference(j(difference(i(A),B)),
% quotient(t(difference(i(A),B),x2),
% j(difference(i(A),B))))),quotient(
% difference(
% eta(A),
% difference(x2,
% difference(
% j(x2),
% quotient(
% t(x2,
% difference(
% i(A),B)),
% j(x2))))),
% difference(
% i(A),B)))),A),
% i(A)) -> difference(eta(A),B) collapsed.
% Rule
% [1502]
% difference(quotient(quotient(difference(A,B),A),j(A)),difference(j(quotient(
% quotient(
% difference(A,B),A),
% j(A))),
% quotient(t(quotient(
% quotient(
% difference(A,B),A),
% j(A)),A),
% j(quotient(quotient(
% difference(A,B),A),
% j(A)))))) ->
% difference(A,difference(j(A),t(j(A),B))) collapsed.
% Rule
% [1539]
% difference(quotient(quotient(difference(B,j(A)),B),j(B)),difference(j(
% quotient(
% quotient(
% difference(B,
% j(A)),B),
% j(B))),
% quotient(t(quotient(
% quotient(
% difference(B,
% j(A)),B),
% j(B)),A),
% j(quotient(quotient(
% difference(B,
% j(A)),B),
% j(B)))))) ->
% difference(A,difference(j(A),j(B))) collapsed.
% Rule
% [1540]
% difference(difference(A,j(j(j(A)))),difference(j(difference(A,j(j(j(A))))),
% quotient(t(difference(A,j(j(j(A)))),A),
% j(difference(A,j(j(j(A)))))))) ->
% i(i(i(A))) collapsed.
% Rule
% [1573]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(
% t(B,C),difference(
% j(
% t(B,C)),
% quotient(
% t(
% t(B,C),B),
% j(
% t(B,C)))))),
% j(A)))),C),B) <->
% difference(difference(B,difference(j(B),quotient(t(B,C),j(B)))),difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))))
% collapsed.
% Rule
% [1579]
% quotient(difference(t(t(quotient(A,B),B),quotient(A,B)),difference(j(
% t(
% t(
% quotient(A,B),B),
% quotient(A,B))),
% quotient(t(t(
% t(
% quotient(A,B),B),
% quotient(A,B)),B),
% j(t(t(quotient(A,B),B),
% quotient(A,B)))))),
% quotient(difference(t(quotient(A,B),B),difference(B,difference(j(B),quotient(
% t(B,
% t(
% t(
% quotient(A,B),B),
% quotient(A,B))),
% j(B))))),
% t(t(quotient(A,B),B),quotient(A,B)))) -> A collapsed.
% Rule
% [1601]
% quotient(quotient(difference(A,quotient(difference(quotient(quotient(
% difference(A,B),A),
% j(A)),difference(j(
% quotient(
% quotient(
% difference(A,B),A),
% j(A))),
% quotient(t(quotient(
% quotient(
% difference(A,B),A),
% j(A)),x2),
% j(quotient(quotient(
% difference(A,B),A),
% j(A)))))),
% quotient(difference(eta(A),difference(x2,
% difference(
% j(x2),quotient(
% t(x2,
% quotient(
% quotient(
% difference(A,B),A),
% j(A))),
% j(x2))))),
% quotient(quotient(difference(A,B),A),j(A))))),A),
% i(A)) -> difference(eta(A),difference(A,quotient(t(j(A),B),j(j(A)))))
% collapsed.
% Rule
% [1604]
% difference(difference(t(A,B),difference(j(t(A,B)),quotient(t(t(A,B),A),
% j(t(A,B))))),difference(A,
% difference(
% j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))))
% <->
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(C)))),B),A) collapsed.
% Rule
% [1605]
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,difference(
% t(B,C),
% difference(
% j(
% t(B,C)),
% quotient(
% t(
% t(B,C),B),
% j(
% t(B,C)))))),
% j(A))))) <->
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(C)))),B),A) collapsed.
% Rule
% [1608]
% difference(difference(B,quotient(quotient(j(A),j(B)),j(j(B)))),difference(
% j(difference(B,
% quotient(
% quotient(
% j(A),
% j(B)),
% j(j(B))))),
% quotient(
% t(difference(B,
% quotient(
% quotient(
% j(A),
% j(B)),
% j(j(B)))),A),
% j(difference(B,
% quotient(
% quotient(
% j(A),
% j(B)),
% j(j(B))))))))
% -> difference(A,difference(j(A),i(B))) collapsed.
% Rule
% [1619]
% quotient(quotient(difference(A,quotient(difference(quotient(quotient(
% difference(B,
% j(A)),B),
% j(B)),difference(j(
% quotient(
% quotient(
% difference(B,
% j(A)),B),
% j(B))),
% quotient(t(quotient(
% quotient(
% difference(B,
% j(A)),B),
% j(B)),x2),
% j(quotient(quotient(
% difference(B,
% j(A)),B),
% j(B)))))),
% quotient(difference(eta(A),difference(x2,
% difference(
% j(x2),quotient(
% t(x2,
% quotient(
% quotient(
% difference(B,
% j(A)),B),
% j(B))),
% j(x2))))),
% quotient(quotient(difference(B,j(A)),B),
% j(B))))),A),i(A)) ->
% difference(eta(A),difference(A,quotient(j(B),j(j(A))))) collapsed.
% Rule
% [1643]
% difference(difference(i(A),difference(A,quotient(difference(B,j(A)),j(j(A))))),
% difference(j(difference(i(A),difference(A,quotient(difference(B,j(A)),
% j(j(A)))))),quotient(t(difference(
% i(A),
% difference(A,
% quotient(
% difference(B,
% j(A)),
% j(j(A))))),A),
% j(difference(i(A),
% difference(A,
% quotient(difference(B,
% j(A)),
% j(j(A))))))))) ->
% difference(A,difference(j(A),difference(B,j(A)))) collapsed.
% Rule
% [1651]
% difference(B,difference(difference(j(B),quotient(A,j(B))),difference(
% j(difference(
% j(B),quotient(A,
% j(B)))),
% quotient(t(
% difference(
% j(B),
% quotient(A,
% j(B))),A),
% j(difference(
% j(B),quotient(A,
% j(B))))))))
% ->
% quotient(j(t(j(j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))),
% i(t(j(j(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))),
% quotient(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))))),B)
% collapsed.
% Rule
% [1653]
% difference(i(i(B)),difference(difference(i(B),quotient(quotient(A,B),j(B))),
% difference(j(difference(i(B),quotient(quotient(A,B),j(B)))),
% quotient(t(difference(i(B),quotient(quotient(A,B),j(B))),B),
% j(difference(i(B),quotient(quotient(A,B),j(B)))))))) ->
% quotient(difference(A,difference(j(A),quotient(t(A,t(j(j(j(B))),quotient(B,
% j(B)))),
% j(A)))),i(i(B))) collapsed.
% Rule
% [1665]
% quotient(quotient(difference(A,quotient(difference(difference(B,quotient(
% quotient(
% j(A),
% j(B)),
% j(j(B)))),
% difference(j(difference(B,quotient(
% quotient(
% j(A),
% j(B)),
% j(j(B))))),
% quotient(t(difference(B,quotient(
% quotient(
% j(A),
% j(B)),
% j(j(B)))),x2),
% j(difference(B,quotient(quotient(
% j(A),
% j(B)),
% j(j(B)))))))),
% quotient(difference(eta(A),difference(x2,
% difference(
% j(x2),quotient(
% t(x2,
% difference(B,
% quotient(
% quotient(
% j(A),
% j(B)),
% j(j(B))))),
% j(x2))))),
% difference(B,quotient(quotient(j(A),j(B)),
% j(j(B))))))),A),i(A)) ->
% difference(eta(A),difference(A,quotient(i(B),j(j(A))))) collapsed.
% Rule
% [1700]
% quotient(difference(A,difference(j(A),quotient(t(A,difference(t(B,C),
% difference(j(t(B,C)),
% quotient(t(t(B,C),B),
% j(t(B,C)))))),j(A)))),C)
% <->
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,A),j(C)))),
% difference(j(difference(C,difference(j(C),quotient(t(C,A),j(C))))),
% quotient(t(difference(C,difference(j(C),quotient(t(C,A),j(C)))),B),
% j(difference(C,difference(j(C),quotient(t(C,A),j(C)))))))))
% collapsed.
% Rule
% [1719]
% difference(A,difference(difference(t(A,B),difference(j(t(A,B)),quotient(
% t(t(A,B),A),
% j(t(A,B))))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))))) <->
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A) collapsed.
% Rule
% [1720]
% difference(A,difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(t(A,B),difference(j(t(A,B)),quotient(
% t(t(A,B),A),
% j(t(A,B)))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))))) <->
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A) collapsed.
% Rule
% [1721]
% difference(A,difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(t(A,B),difference(j(t(A,B)),quotient(
% t(t(A,B),A),
% j(t(A,B))))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))))) <->
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A) collapsed.
% Rule
% [1722]
% difference(A,difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(t(A,B),difference(j(t(A,B)),quotient(t(t(A,B),A),
% j(t(A,B)))))))))) <->
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A) collapsed.
% Rule
% [1758]
% quotient(quotient(quotient(difference(t(quotient(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),C),
% difference(j(t(quotient(difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),C)),
% quotient(t(t(quotient(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A)))),C),C),B),
% j(t(quotient(difference(A,difference(j(A),
% quotient(t(A,B),
% j(A)))),C),C))))),
% quotient(difference(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A)))),
% difference(B,difference(j(B),quotient(t(B,
% t(quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),C)),
% j(B))))),t(quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),C))),B),A)
% ->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),difference(A,
% difference(
% j(A),
% quotient(
% t(A,difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% t(
% quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),C)),
% j(B))))),
% j(A)))))
% collapsed.
% Rule
% [1759]
% difference(difference(quotient(quotient(C,B),j(B)),difference(j(quotient(
% quotient(C,B),
% j(B))),
% quotient(t(quotient(
% quotient(C,B),
% j(B)),A),
% j(quotient(quotient(C,B),
% j(B)))))),quotient(
% difference(
% quotient(
% quotient(C,B),
% j(B)),
% difference(
% j(quotient(
% quotient(C,B),
% j(B))),
% quotient(
% t(quotient(
% quotient(C,B),
% j(B)),B),
% j(quotient(
% quotient(C,B),
% j(B)))))),
% quotient(
% difference(
% eta(B),
% quotient(
% quotient(C,B),
% j(B))),
% quotient(
% quotient(C,B),
% j(B))))) ->
% quotient(difference(A,quotient(quotient(difference(B,difference(j(B),
% quotient(t(B,C),
% j(B)))),j(B)),j(j(B)))),
% quotient(quotient(C,B),j(B))) collapsed.
% Rule
% [1768]
% quotient(quotient(difference(t(A,difference(B,difference(j(B),quotient(
% t(B,C),
% j(B))))),
% difference(j(t(A,difference(B,difference(j(B),quotient(
% t(B,C),
% j(B)))))),
% quotient(t(t(A,difference(B,difference(j(B),quotient(
% t(B,C),
% j(B))))),A),
% j(t(A,difference(B,difference(j(B),quotient(t(B,C),j(B))))))))),C),B)
% ->
% difference(difference(B,difference(j(B),quotient(t(B,C),j(B)))),difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))))
% collapsed.
% Rule
% [1777]
% difference(i(B),quotient(difference(difference(B,quotient(quotient(A,j(B)),
% j(j(B)))),difference(
% j(difference(B,
% quotient(
% quotient(A,
% j(B)),j(j(B))))),
% quotient(t(
% difference(B,
% quotient(
% quotient(A,
% j(B)),
% j(
% j(B)))),B),
% j(difference(B,
% quotient(
% quotient(A,
% j(B)),j(j(B)))))))),
% quotient(difference(j(B),quotient(quotient(A,j(B)),j(j(B)))),
% difference(B,quotient(quotient(A,j(B)),j(j(B))))))) ->
% quotient(difference(A,difference(j(A),quotient(t(A,t(j(j(B)),i(t(j(j(j(B))),
% quotient(B,
% j(B)))))),
% j(A)))),i(B)) collapsed.
% Rule
% [1779]
% difference(difference(B,quotient(quotient(difference(j(C),j(A)),j(C)),
% j(j(C)))),difference(j(difference(B,quotient(
% quotient(
% difference(
% j(C),j(A)),
% j(C)),j(j(C))))),
% quotient(t(difference(B,quotient(quotient(
% difference(
% j(C),
% j(A)),
% j(C)),
% j(j(C)))),A),
% j(difference(B,quotient(quotient(difference(
% j(C),
% j(A)),
% j(C)),j(j(C))))))))
% <->
% difference(A,difference(j(A),difference(quotient(quotient(difference(A,B),A),
% j(A)),quotient(quotient(difference(A,
% j(j(C))),A),
% j(A))))) collapsed.
% Rule
% [1799]
% quotient(difference(t(A,difference(B,difference(j(B),quotient(t(B,C),j(B))))),
% difference(j(t(A,difference(B,difference(j(B),quotient(t(B,C),j(B)))))),
% quotient(t(t(A,difference(B,difference(j(B),quotient(t(B,C),j(B))))),A),
% j(t(A,difference(B,difference(j(B),quotient(t(B,C),j(B))))))))),C)
% <->
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,A),j(C)))),
% difference(j(difference(C,difference(j(C),quotient(t(C,A),j(C))))),
% quotient(t(difference(C,difference(j(C),quotient(t(C,A),j(C)))),B),
% j(difference(C,difference(j(C),quotient(t(C,A),j(C)))))))))
% collapsed.
% Rule
% [1811]
% quotient(quotient(difference(A,quotient(difference(difference(B,quotient(
% quotient(
% difference(
% j(C),
% j(A)),
% j(C)),
% j(j(C)))),
% difference(j(difference(B,quotient(
% quotient(
% difference(
% j(C),
% j(A)),
% j(C)),
% j(j(C))))),
% quotient(t(difference(B,quotient(
% quotient(
% difference(
% j(C),
% j(A)),
% j(C)),
% j(j(C)))),x2),
% j(difference(B,quotient(quotient(
% difference(
% j(C),
% j(A)),
% j(C)),
% j(j(C)))))))),
% quotient(difference(eta(A),difference(x2,
% difference(
% j(x2),quotient(
% t(x2,
% difference(B,
% quotient(
% quotient(
% difference(
% j(C),
% j(A)),
% j(C)),
% j(j(C))))),
% j(x2))))),
% difference(B,quotient(quotient(difference(
% j(C),j(A)),
% j(C)),j(j(C))))))),A),
% i(A)) <->
% difference(eta(A),difference(A,quotient(difference(quotient(quotient(
% difference(A,B),A),
% j(A)),quotient(quotient(
% difference(A,
% j(j(C))),A),
% j(A))),j(j(A)))))
% collapsed.
% Rule
% [1815]
% difference(j(eta(B)),quotient(difference(quotient(quotient(difference(
% eta(B),A),
% eta(B)),j(eta(B))),
% difference(j(quotient(quotient(difference(
% eta(B),A),
% eta(B)),j(eta(B)))),
% quotient(t(quotient(quotient(difference(
% eta(B),A),
% eta(B)),j(eta(B))),B),
% j(quotient(quotient(difference(eta(B),A),
% eta(B)),j(eta(B))))))),quotient(
% difference(
% eta(B),
% quotient(
% quotient(
% difference(
% eta(B),A),
% eta(B)),
% j(eta(B)))),
% quotient(
% quotient(
% difference(
% eta(B),A),
% eta(B)),
% j(eta(B))))))
% -> quotient(difference(A,difference(j(A),quotient(t(A,B),j(A)))),j(eta(B)))
% collapsed.
% Rule
% [1819]
% difference(difference(difference(j(j(C)),quotient(B,j(j(C)))),difference(
% j(difference(
% j(j(C)),
% quotient(B,
% j(j(C))))),
% quotient(
% t(difference(
% j(j(C)),
% quotient(B,
% j(j(C)))),A),
% j(difference(
% j(j(C)),
% quotient(B,
% j(j(C)))))))),
% quotient(difference(difference(j(j(C)),quotient(B,j(j(C)))),difference(
% j(difference(
% j(j(C)),
% quotient(B,
% j(j(C))))),
% quotient(
% t(difference(
% j(j(C)),
% quotient(B,
% j(j(C)))),x2),
% j(difference(
% j(j(C)),
% quotient(B,
% j(j(C)))))))),
% quotient(difference(j(j(C)),difference(x2,difference(j(x2),quotient(t(x2,
% difference(
% j(
% j(C)),
% quotient(B,
% j(
% j(C))))),
% j(x2))))),
% difference(j(j(C)),quotient(B,j(j(C))))))) ->
% quotient(difference(A,quotient(B,j(j(C)))),difference(j(j(C)),quotient(B,
% j(j(C)))))
% collapsed.
% Rule
% [1958]
% difference(difference(A,j(A)),difference(j(difference(A,j(A))),quotient(
% t(difference(A,
% j(A)),A),
% j(difference(A,
% j(A)))))) ->
% i(A) collapsed.
% Rule
% [2220]
% quotient(difference(quotient(A,eta(B)),difference(j(quotient(A,eta(B))),
% quotient(t(quotient(A,eta(B)),B),
% j(quotient(A,eta(B)))))),t(eta(B),
% quotient(
% difference(A,
% difference(
% eta(B),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,A),
% j(B)))))),
% difference(
% eta(B),A))))
% -> difference(j(quotient(A,eta(B))),quotient(eta(B),j(quotient(A,eta(B)))))
% collapsed.
% Current number of equations to process: 347
% Current number of ordered equations: 1
% Current number of rules: 2075
% New rule produced :
% [3136]
% difference(A,difference(i(i(A)),difference(i(A),quotient(t(A,B),j(A))))) -> B
% Current number of equations to process: 346
% Current number of ordered equations: 1
% Current number of rules: 2076
% New rule produced :
% [3137]
% quotient(difference(i(i(A)),difference(i(A),quotient(t(A,B),j(A)))),B) -> A
% Current number of equations to process: 345
% Current number of ordered equations: 1
% Current number of rules: 2077
% New rule produced :
% [3138]
% difference(i(i(A)),difference(i(A),quotient(B,j(A)))) <->
% difference(B,difference(j(B),quotient(t(B,A),j(B))))
% Current number of equations to process: 345
% Current number of ordered equations: 0
% Current number of rules: 2078
% New rule produced :
% [3139]
% difference(B,quotient(quotient(A,j(B)),j(j(B)))) <->
% difference(i(i(A)),difference(i(A),quotient(i(B),j(A))))
% Rule
% [1321]
% difference(difference(difference(A,j(A)),quotient(quotient(i(A),j(difference(A,
% j(A)))),
% j(j(difference(A,j(A)))))),eta(
% difference(A,
% j(A))))
% -> quotient(i(i(A)),t(j(A),quotient(A,j(A)))) collapsed.
% Rule
% [1504]
% difference(difference(quotient(eta(A),j(eta(A))),quotient(quotient(eta(A),
% j(quotient(
% eta(A),j(eta(A))))),
% j(j(quotient(eta(A),
% j(eta(A))))))),eta(
% quotient(
% eta(A),
% j(
% eta(A)))))
% -> eta(A) collapsed.
% Rule
% [1595]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% quotient(quotient(A,
% j(difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))))),
% j(j(difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))),
% j(B)))),A) -> i(A) collapsed.
% Rule
% [1633]
% difference(difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% quotient(quotient(A,j(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A)))))),
% j(j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))),
% eta(difference(A,difference(j(A),quotient(t(A,B),j(A)))))) ->
% quotient(i(A),i(difference(A,difference(j(A),quotient(t(A,B),j(A))))))
% collapsed.
% Current number of equations to process: 348
% Current number of ordered equations: 1
% Current number of rules: 2075
% New rule produced :
% [3140]
% difference(i(i(A)),difference(i(A),quotient(i(B),j(A)))) <->
% difference(B,quotient(quotient(A,j(B)),j(j(B))))
% Current number of equations to process: 348
% Current number of ordered equations: 0
% Current number of rules: 2076
% New rule produced :
% [3141]
% 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: 347
% Current number of ordered equations: 0
% Current number of rules: 2077
% New rule produced :
% [3142]
% difference(i(i(i(A))),difference(i(i(A)),quotient(quotient(B,j(A)),j(j(A)))))
% -> B
% Current number of equations to process: 345
% Current number of ordered equations: 0
% Current number of rules: 2078
% Rule [2946]
% t(t(eta(A),B),difference(C,eta(A))) <->
% t(eta(A),t(B,difference(eta(A),difference(j(difference(C,eta(A))),
% quotient(C,j(difference(C,eta(A)))))))) is composed into
% [2946]
% t(t(eta(A),B),difference(C,eta(A))) <->
% t(eta(A),t(B,difference(eta(A),difference(i(i(eta(A))),difference(i(eta(A)),
% quotient(difference(C,
% eta(A)),
% j(eta(A))))))))
% Rule [1219]
% difference(t(eta(A),B),difference(C,eta(A))) <->
% t(eta(A),difference(B,difference(eta(A),difference(j(difference(C,
% eta(A))),quotient(C,
% j(
% difference(C,
% eta(A)))))))) is composed into
% [1219]
% difference(t(eta(A),B),difference(C,eta(A))) ->
% t(eta(A),difference(B,difference(eta(A),difference(i(i(eta(A))),difference(
% i(eta(A)),
% quotient(
% difference(C,
% eta(A)),
% j(eta(A))))))))
% Rule [1217]
% quotient(t(eta(A),B),difference(C,eta(A))) <->
% t(eta(A),quotient(B,difference(eta(A),difference(j(difference(C,eta(A))),
% quotient(C,j(difference(C,eta(A)))))))) is composed into
% [1217]
% quotient(t(eta(A),B),difference(C,eta(A))) <->
% t(eta(A),quotient(B,difference(eta(A),difference(i(i(eta(A))),difference(
% i(eta(A)),
% quotient(
% difference(C,
% eta(A)),
% j(eta(A))))))))
% New rule produced :
% [3143]
% difference(j(difference(A,B)),quotient(A,j(difference(A,B)))) ->
% difference(i(i(B)),difference(i(B),quotient(difference(A,B),j(B))))
% Rule
% [429]
% quotient(difference(j(difference(A,B)),quotient(A,j(difference(A,B)))),B) ->
% difference(A,B) collapsed.
% Rule
% [892]
% difference(t(difference(A,B),B),difference(j(difference(A,B)),quotient(A,
% j(difference(A,B)))))
% -> difference(A,B) collapsed.
% Rule
% [977]
% difference(j(difference(B,j(A))),quotient(B,j(difference(B,j(A))))) ->
% difference(i(A),difference(A,quotient(difference(B,j(A)),j(j(A)))))
% collapsed.
% Rule
% [1090]
% quotient(difference(j(difference(A,B)),quotient(A,j(difference(A,B)))),
% t(difference(A,B),B)) -> t(t(difference(A,B),B),difference(A,B)) collapsed.
% Rule
% [1137]
% quotient(quotient(difference(j(difference(A,i(B))),quotient(A,j(difference(A,
% i(B))))),
% j(B)),j(j(B))) -> quotient(difference(A,i(B)),B) collapsed.
% Rule
% [1167]
% difference(t(t(difference(A,B),B),difference(A,B)),difference(j(difference(A,B)),
% quotient(A,j(difference(A,B)))))
% -> t(difference(A,B),B) collapsed.
% Rule
% [1216]
% t(eta(A),quotient(B,difference(eta(A),difference(j(difference(C,eta(A))),
% quotient(C,j(difference(C,eta(A))))))))
% <-> quotient(t(eta(A),B),difference(C,eta(A))) collapsed.
% Rule
% [1218]
% t(eta(A),difference(B,difference(eta(A),difference(j(difference(C,eta(A))),
% quotient(C,j(difference(C,eta(A))))))))
% <-> difference(t(eta(A),B),difference(C,eta(A))) collapsed.
% Rule
% [1220]
% difference(A,difference(j(A),quotient(t(A,difference(j(difference(B,A)),
% quotient(B,j(difference(B,A))))),
% j(A)))) ->
% difference(j(A),quotient(difference(B,A),j(A))) collapsed.
% Rule
% [1548]
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(
% j(difference(A,B)),
% quotient(A,
% j(difference(A,B))))),
% j(C)))),B),difference(A,B))
% <->
% difference(difference(j(difference(A,B)),quotient(A,j(difference(A,B)))),
% difference(difference(A,B),difference(j(difference(A,B)),quotient(t(difference(A,B),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(difference(A,B))))))
% collapsed.
% Rule
% [1549]
% difference(difference(j(difference(A,B)),quotient(A,j(difference(A,B)))),
% difference(difference(A,B),difference(j(difference(A,B)),quotient(t(difference(A,B),
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(difference(A,B))))))
% <->
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(
% j(difference(A,B)),
% quotient(A,
% j(difference(A,B))))),
% j(C)))),B),difference(A,B))
% collapsed.
% Rule
% [1591]
% quotient(quotient(difference(j(difference(A,difference(B,difference(j(B),
% quotient(t(B,C),
% j(B)))))),quotient(A,
% j(
% difference(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))))))),C),B)
% ->
% difference(difference(B,difference(j(B),quotient(t(B,C),j(B)))),difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,
% difference(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))))),
% j(C))))),
% j(B)))))
% collapsed.
% Rule
% [1818]
% quotient(difference(B,quotient(difference(i(difference(B,difference(j(B),
% quotient(t(B,C),
% j(B))))),difference(
% j(difference(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B)))))),
% quotient(A,
% j(difference(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))))))),
% difference(B,difference(j(B),quotient(t(B,C),j(B)))))),
% difference(A,difference(B,difference(j(B),quotient(t(B,C),j(B)))))) ->
% quotient(difference(B,difference(difference(B,difference(j(B),quotient(
% t(B,C),
% j(B)))),
% difference(j(difference(B,difference(j(B),quotient(
% t(B,C),
% j(B))))),
% quotient(t(difference(B,difference(j(B),quotient(
% t(B,C),
% j(B)))),
% difference(A,difference(B,difference(j(B),
% quotient(t(B,C),
% j(B)))))),j(
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))))))),
% difference(A,difference(B,difference(j(B),quotient(t(B,C),j(B))))))
% collapsed.
% Rule
% [2140]
% t(eta(A),quotient(difference(j(difference(B,eta(A))),quotient(B,j(difference(B,
% eta(A))))),
% difference(eta(A),difference(eta(A),difference(j(eta(A)),quotient(
% difference(B,
% eta(A)),
% j(eta(A))))))))
% -> eta(A) collapsed.
% Rule
% [2164]
% quotient(difference(eta(A),difference(j(difference(B,eta(A))),quotient(B,
% j(difference(B,
% eta(A)))))),
% eta(A)) -> difference(eta(A),difference(B,eta(A))) collapsed.
% Rule
% [2431]
% quotient(difference(i(A),quotient(difference(B,A),j(A))),difference(j(
% difference(B,A)),
% quotient(B,j(
% difference(B,A)))))
% -> i(i(A)) collapsed.
% Rule
% [2945]
% t(eta(A),t(B,difference(eta(A),difference(j(difference(C,eta(A))),quotient(C,
% j(difference(C,
% eta(A))))))))
% <-> t(t(eta(A),B),difference(C,eta(A))) collapsed.
% Current number of equations to process: 355
% Current number of ordered equations: 0
% Current number of rules: 2062
% New rule produced :
% [3144]
% quotient(difference(i(i(B)),difference(i(B),quotient(difference(A,B),j(B)))),B)
% -> difference(A,B)
% Current number of equations to process: 354
% Current number of ordered equations: 0
% Current number of rules: 2063
% Rule [1798]
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,A),
% j(C)))),difference(
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% quotient(
% t(difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C)))),B),
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C)))))))))
% <->
% quotient(difference(i(i(A)),difference(i(A),quotient(t(A,difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(A)))),C) is composed into
% [1798]
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,A),j(C)))),
% difference(j(difference(C,difference(j(C),quotient(t(C,A),j(C))))),
% quotient(t(difference(C,difference(j(C),quotient(t(C,A),j(C)))),B),
% j(difference(C,difference(j(C),quotient(t(C,A),j(C))))))))) <->
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),C)
% Rule [1726]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,
% difference(j(C),
% quotient(t(C,A),
% j(C))))),j(B)))),A)
% <->
% difference(A,difference(difference(A,difference(j(A),quotient(t(A,B),
% j(A)))),difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(
% i(
% i(A)),
% difference(
% i(A),
% quotient(
% t(A,B),
% j(A))))))))) is composed into
% [1726]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A) <->
% difference(A,difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))))
% Rule [1725]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,
% difference(j(C),
% quotient(t(C,A),
% j(C))))),j(B)))),A)
% <->
% difference(A,difference(difference(A,difference(j(A),quotient(t(A,B),
% j(A)))),difference(
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(
% i(
% i(A)),
% difference(
% i(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))) is composed into
% [1725]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A) <->
% difference(A,difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))))
% Rule [1724]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,
% difference(j(C),
% quotient(t(C,A),
% j(C))))),j(B)))),A)
% <->
% difference(A,difference(difference(A,difference(j(A),quotient(t(A,B),
% j(A)))),difference(
% j(difference(
% i(
% i(A)),
% difference(
% i(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(
% t(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))),C),
% j(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))))))) is composed into
% [1724]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A) <->
% difference(A,difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))))
% Rule [1723]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,
% difference(j(C),
% quotient(t(C,A),
% j(C))))),j(B)))),A)
% <->
% difference(A,difference(difference(i(i(A)),difference(i(A),quotient(
% t(A,B),
% j(A)))),
% difference(j(difference(A,difference(j(A),quotient(
% t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),
% j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))))) is composed into
% [1723]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B)))),A) <->
% difference(A,difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))),
% quotient(t(difference(A,difference(j(A),quotient(t(A,B),j(A)))),C),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A)))))))))
% Rule [1699]
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,A),
% j(C)))),difference(
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% quotient(
% t(difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C)))),B),
% j(difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C)))))))))
% <->
% quotient(difference(A,difference(j(A),quotient(t(A,difference(i(i(B)),
% difference(i(B),
% quotient(t(B,C),
% j(B))))),j(A)))),C) is composed into
% [1699]
% difference(C,difference(difference(C,difference(j(C),quotient(t(C,A),j(C)))),
% difference(j(difference(C,difference(j(C),quotient(t(C,A),j(C))))),
% quotient(t(difference(C,difference(j(C),quotient(t(C,A),j(C)))),B),
% j(difference(C,difference(j(C),quotient(t(C,A),j(C))))))))) <->
% quotient(difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),C)
% Rule [1603]
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))),B),A) <->
% difference(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% difference(A,difference(j(A),quotient(t(A,difference(i(i(B)),difference(
% i(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A))))) is composed into [1603]
% quotient(
% quotient(
% difference(C,
% difference(
% j(C),quotient(
% t(C,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))),B),A)
% <->
% difference(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(A,
% difference(
% j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))))
% Rule [1602]
% quotient(quotient(difference(C,difference(j(C),quotient(t(C,difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))),B),A) <->
% difference(difference(i(i(A)),difference(i(A),quotient(t(A,B),j(A)))),
% difference(A,difference(j(A),quotient(t(A,difference(B,difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(A))))) is composed into [1602]
% quotient(
% quotient(
% difference(C,
% difference(
% j(C),quotient(
% t(C,
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(C)))),B),A)
% <->
% difference(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% difference(A,
% difference(
% j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))))
% Rule [1574]
% difference(difference(B,difference(j(B),quotient(t(B,C),j(B)))),
% difference(B,difference(j(B),quotient(t(B,difference(C,difference(
% j(C),quotient(
% t(C,A),
% j(C))))),
% j(B))))) <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(
% i(i(B)),
% difference(
% i(B),
% quotient(
% t(B,C),
% j(B))))),
% j(A)))),C),B) is composed into
% [1574]
% difference(difference(B,difference(j(B),quotient(t(B,C),j(B)))),difference(B,
% difference(
% j(B),
% quotient(
% t(B,difference(C,
% difference(
% j(C),
% quotient(
% t(C,A),
% j(C))))),
% j(B))))) <->
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,difference(B,
% difference(
% j(B),quotient(
% t(B,C),
% j(B))))),
% j(A)))),C),B)
% New rule produced :
% [3145]
% difference(i(i(A)),difference(i(A),quotient(t(A,B),j(A)))) ->
% difference(A,difference(j(A),quotient(t(A,B),j(A))))
% Rule
% [3136]
% difference(A,difference(i(i(A)),difference(i(A),quotient(t(A,B),j(A))))) -> B
% collapsed.
% Rule
% [3137]
% quotient(difference(i(i(A)),difference(i(A),quotient(t(A,B),j(A)))),B) -> A
% collapsed.
% Current number of equations to process: 352
% Current number of ordered equations: 0
% Current number of rules: 2062
% New rule produced :
% [3146]
% quotient(difference(j(A),quotient(i(i(B)),j(A))),difference(i(B),quotient(
% quotient(A,B),
% j(B)))) -> A
% Current number of equations to process: 351
% Current number of ordered equations: 0
% Current number of rules: 2063
% New rule produced :
% [3147]
% t(eta(A),quotient(t(B,difference(eta(A),C)),j(j(j(A))))) <->
% quotient(t(t(eta(A),B),quotient(C,eta(A))),i(A))
% Current number of equations to process: 350
% Current number of ordered equations: 1
% Current number of rules: 2064
% New rule produced :
% [3148]
% quotient(t(t(eta(A),B),quotient(C,eta(A))),i(A)) <->
% t(eta(A),quotient(t(B,difference(eta(A),C)),j(j(j(A)))))
% Current number of equations to process: 350
% Current number of ordered equations: 0
% Current number of rules: 2065
% New rule produced :
% [3149]
% difference(i(i(i(A))),difference(i(i(A)),quotient(t(i(A),B),A))) ->
% difference(A,quotient(quotient(B,j(A)),j(j(A))))
% Current number of equations to process: 349
% Current number of ordered equations: 0
% Current number of rules: 2066
% New rule produced :
% [3150]
% difference(i(i(A)),difference(i(A),quotient(quotient(quotient(B,j(A)),
% j(j(A))),j(A)))) ->
% quotient(B,i(A))
% Current number of equations to process: 348
% Current number of ordered equations: 0
% Current number of rules: 2067
% New rule produced :
% [3151]
% difference(t(difference(A,B),B),difference(i(i(B)),difference(i(B),quotient(
% difference(A,B),
% j(B)))))
% -> difference(A,B)
% Current number of equations to process: 347
% Current number of ordered equations: 0
% Current number of rules: 2068
% New rule produced :
% [3152]
% difference(quotient(A,B),difference(i(i(A)),difference(i(A),quotient(
% quotient(A,B),
% j(A))))) -> A
% Current number of equations to process: 346
% Current number of ordered equations: 0
% Current number of rules: 2069
% New rule produced :
% [3153]
% difference(i(i(A)),difference(i(A),j(B))) ->
% difference(A,difference(j(A),j(B)))
% Rule [748] difference(i(i(A)),difference(i(A),j(j(A)))) -> A collapsed.
% Rule [3130] difference(i(i(A)),difference(i(A),j(j(j(j(A)))))) -> j(j(A))
% collapsed.
% Rule [3131] difference(i(i(i(A))),difference(i(i(A)),j(j(j(A))))) -> j(A)
% collapsed.
% Current number of equations to process: 345
% Current number of ordered equations: 0
% Current number of rules: 2067
% New rule produced :
% [3154]
% difference(i(i(A)),difference(i(A),t(j(A),B))) ->
% difference(A,difference(j(A),t(j(A),B)))
% Current number of equations to process: 344
% Current number of ordered equations: 0
% Current number of rules: 2068
% New rule produced :
% [3155]
% quotient(difference(i(i(B)),difference(i(B),quotient(difference(A,B),j(B)))),
% t(difference(A,B),B)) -> t(t(difference(A,B),B),difference(A,B))
% Current number of equations to process: 343
% Current number of ordered equations: 0
% Current number of rules: 2069
% New rule produced :
% [3156]
% difference(B,eta(A)) <->
% difference(i(i(A)),difference(i(A),quotient(i(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(A))))
% Rule [251] difference(i(i(i(A))),eta(A)) -> i(i(A)) collapsed.
% Rule [261] difference(i(i(i(i(A)))),eta(A)) -> i(i(i(A))) collapsed.
% Rule [549] difference(i(i(i(i(i(A))))),eta(A)) -> i(i(i(i(A)))) collapsed.
% Rule
% [561] difference(j(t(eta(A),B)),eta(A)) -> t(eta(A),difference(j(B),eta(A)))
% collapsed.
% Rule
% [562] difference(i(t(eta(A),B)),eta(A)) -> t(eta(A),difference(i(B),eta(A)))
% collapsed.
% Rule [588] difference(i(i(i(i(i(i(A)))))),eta(A)) -> i(i(i(i(i(A)))))
% collapsed.
% Rule [648] difference(i(i(i(i(i(i(i(A))))))),eta(A)) -> i(i(i(i(i(i(A))))))
% collapsed.
% Rule
% [840]
% t(eta(A),difference(quotient(B,difference(eta(A),C)),eta(A))) <->
% difference(quotient(t(eta(A),B),quotient(C,eta(A))),eta(A)) collapsed.
% Rule
% [841]
% difference(quotient(t(eta(A),B),quotient(C,eta(A))),eta(A)) <->
% t(eta(A),difference(quotient(B,difference(eta(A),C)),eta(A))) collapsed.
% Rule
% [1054]
% difference(quotient(quotient(difference(B,A),B),j(B)),eta(B)) ->
% quotient(i(A),j(B)) collapsed.
% Rule
% [1349]
% quotient(difference(i(difference(A,eta(difference(A,difference(j(A),quotient(
% t(A,B),
% j(A))))))),
% eta(difference(A,difference(j(A),quotient(t(A,B),j(A)))))),difference(A,
% eta(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))
% ->
% difference(B,difference(j(B),quotient(t(B,quotient(quotient(quotient(
% difference(B,A),A),
% difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(difference(A,difference(j(A),
% quotient(t(A,B),
% j(A))))))),j(B))))
% collapsed.
% Rule
% [1590]
% t(eta(A),difference(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% eta(A))) <->
% difference(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A)))),eta(A)) collapsed.
% Rule
% [2296]
% difference(j(j(t(eta(A),B))),eta(A)) -> t(eta(A),difference(j(j(B)),eta(A)))
% collapsed.
% Rule
% [2299]
% t(eta(A),difference(j(quotient(B,difference(eta(A),C))),eta(A))) <->
% difference(j(quotient(t(eta(A),B),quotient(C,eta(A)))),eta(A)) collapsed.
% Rule
% [2300]
% difference(j(quotient(t(eta(A),B),quotient(C,eta(A)))),eta(A)) <->
% t(eta(A),difference(j(quotient(B,difference(eta(A),C))),eta(A))) collapsed.
% Rule
% [2306]
% t(eta(A),difference(j(quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B)))),eta(A))) <->
% difference(j(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A))))),eta(A)) collapsed.
% Rule
% [2307]
% difference(j(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A))))),eta(A)) <->
% t(eta(A),difference(j(quotient(quotient(difference(j(B),eta(A)),j(B)),
% j(j(B)))),eta(A))) collapsed.
% Rule
% [2312]
% difference(i(i(t(eta(A),B))),eta(A)) -> t(eta(A),difference(i(i(B)),eta(A)))
% collapsed.
% Rule
% [2314]
% t(eta(A),difference(j(quotient(eta(A),j(eta(A)))),eta(A))) ->
% difference(j(quotient(eta(A),j(eta(A)))),eta(A)) collapsed.
% Rule
% [2315]
% t(eta(A),difference(i(quotient(B,difference(eta(A),C))),eta(A))) <->
% difference(i(quotient(t(eta(A),B),quotient(C,eta(A)))),eta(A)) collapsed.
% Rule
% [2316]
% difference(i(quotient(t(eta(A),B),quotient(C,eta(A)))),eta(A)) <->
% t(eta(A),difference(i(quotient(B,difference(eta(A),C))),eta(A))) collapsed.
% Rule
% [2328]
% t(eta(A),difference(i(quotient(eta(A),j(eta(A)))),eta(A))) ->
% difference(i(quotient(eta(A),j(eta(A)))),eta(A)) collapsed.
% Rule
% [2382] difference(i(i(i(i(i(i(i(i(A)))))))),eta(A)) -> i(i(i(i(i(i(i(A)))))))
% collapsed.
% Rule
% [2440]
% difference(difference(j(eta(A)),quotient(difference(eta(A),i(i(quotient(
% eta(A),
% j(eta(A)))))),
% eta(A))),eta(quotient(eta(A),j(eta(A))))) ->
% quotient(eta(A),i(i(quotient(eta(A),j(eta(A)))))) collapsed.
% Rule
% [2865]
% t(eta(A),difference(j(t(B,difference(eta(A),C))),eta(A))) <->
% difference(j(t(t(eta(A),B),quotient(C,eta(A)))),eta(A)) collapsed.
% Rule
% [2866]
% difference(j(t(t(eta(A),B),quotient(C,eta(A)))),eta(A)) <->
% t(eta(A),difference(j(t(B,difference(eta(A),C))),eta(A))) collapsed.
% Rule
% [2867]
% t(eta(A),difference(i(t(B,difference(eta(A),C))),eta(A))) <->
% difference(i(t(t(eta(A),B),quotient(C,eta(A)))),eta(A)) collapsed.
% Rule
% [2868]
% difference(i(t(t(eta(A),B),quotient(C,eta(A)))),eta(A)) <->
% t(eta(A),difference(i(t(B,difference(eta(A),C))),eta(A))) collapsed.
% Current number of equations to process: 361
% Current number of ordered equations: 1
% Current number of rules: 2042
% New rule produced :
% [3157]
% difference(i(i(A)),difference(i(A),quotient(i(difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(A)))) <-> difference(B,eta(A))
% Current number of equations to process: 361
% Current number of ordered equations: 0
% Current number of rules: 2043
% New rule produced :
% [3158]
% difference(i(i(A)),difference(i(A),i(B))) ->
% difference(A,difference(j(A),i(B)))
% Current number of equations to process: 360
% Current number of ordered equations: 0
% Current number of rules: 2044
% New rule produced :
% [3159]
% difference(t(t(difference(A,B),B),difference(A,B)),difference(i(i(B)),
% difference(i(B),quotient(
% difference(A,B),
% j(B)))))
% -> t(difference(A,B),B)
% Current number of equations to process: 359
% Current number of ordered equations: 0
% Current number of rules: 2045
% New rule produced :
% [3160]
% quotient(quotient(difference(i(i(i(B))),difference(i(i(B)),quotient(difference(A,
% i(B)),B))),
% j(B)),j(j(B))) -> quotient(difference(A,i(B)),B)
% Current number of equations to process: 358
% Current number of ordered equations: 0
% Current number of rules: 2046
% New rule produced :
% [3161]
% difference(i(i(A)),difference(i(A),quotient(difference(i(A),difference(A,
% quotient(
% difference(B,
% j(A)),j(j(A))))),
% j(A)))) ->
% difference(A,difference(j(A),difference(B,j(A))))
% Current number of equations to process: 357
% Current number of ordered equations: 0
% Current number of rules: 2047
% New rule produced :
% [3162]
% difference(eta(A),difference(i(A),quotient(difference(B,A),j(A)))) ->
% difference(j(A),quotient(difference(B,A),j(A)))
% Current number of equations to process: 356
% Current number of ordered equations: 0
% Current number of rules: 2048
% New rule produced :
% [3163] difference(j(eta(A)),eta(quotient(eta(A),j(eta(A))))) -> eta(A)
% Current number of equations to process: 355
% Current number of ordered equations: 0
% Current number of rules: 2049
% New rule produced :
% [3164] difference(i(i(A)),t(j(A),quotient(A,j(A)))) -> i(i(i(i(A))))
% Current number of equations to process: 355
% Current number of ordered equations: 0
% Current number of rules: 2050
% New rule produced :
% [3165]
% difference(i(t(j(A),quotient(A,j(A)))),difference(t(j(A),quotient(A,j(A))),
% quotient(i(difference(difference(A,
% j(A)),difference(
% j(
% difference(A,
% j(A))),
% quotient(
% t(
% difference(A,
% j(A)),
% difference(
% i(
% i(i(A))),
% difference(
% i(
% i(A)),
% quotient(
% t(
% j(A),
% quotient(A,
% j(A))),A)))),
% j(
% difference(A,
% j(A))))))),
% j(difference(A,j(A)))))) ->
% quotient(i(i(A)),t(j(A),quotient(A,j(A))))
% Current number of equations to process: 354
% Current number of ordered equations: 0
% Current number of rules: 2051
% New rule produced :
% [3166]
% t(eta(A),difference(j(B),eta(A))) <->
% difference(i(i(A)),difference(i(A),quotient(i(difference(A,difference(
% j(A),quotient(
% t(A,j(
% t(
% eta(A),B))),
% j(A))))),
% j(A))))
% Current number of equations to process: 351
% Current number of ordered equations: 1
% Current number of rules: 2052
% New rule produced :
% [3167]
% difference(i(i(A)),difference(i(A),quotient(i(difference(A,difference(
% j(A),quotient(
% t(A,j(
% t(
% eta(A),B))),
% j(A))))),
% j(A)))) <->
% t(eta(A),difference(j(B),eta(A)))
% Current number of equations to process: 351
% Current number of ordered equations: 0
% Current number of rules: 2053
% New rule produced :
% [3168]
% t(eta(A),difference(i(B),eta(A))) <->
% difference(i(i(A)),difference(i(A),quotient(i(difference(A,difference(
% j(A),quotient(
% t(A,i(
% t(
% eta(A),B))),
% j(A))))),
% j(A))))
% Current number of equations to process: 350
% Current number of ordered equations: 1
% Current number of rules: 2054
% New rule produced :
% [3169]
% difference(i(i(A)),difference(i(A),quotient(i(difference(A,difference(
% j(A),quotient(
% t(A,i(
% t(
% eta(A),B))),
% j(A))))),
% j(A)))) <->
% t(eta(A),difference(i(B),eta(A)))
% Current number of equations to process: 350
% Current number of ordered equations: 0
% Current number of rules: 2055
% New rule produced :
% [3170]
% difference(i(i(quotient(A,eta(B)))),difference(i(quotient(A,eta(B))),
% t(eta(B),quotient(quotient(C,difference(
% eta(B),A)),
% j(difference(eta(B),A)))))) ->
% t(eta(B),C)
% Current number of equations to process: 349
% Current number of ordered equations: 0
% Current number of rules: 2056
% New rule produced :
% [3171]
% difference(i(i(B)),difference(i(B),quotient(i(difference(B,difference(
% j(B),quotient(
% t(B,quotient(
% quotient(
% difference(B,A),B),
% j(B))),
% j(B))))),
% j(B)))) -> quotient(i(A),j(B))
% Current number of equations to process: 348
% Current number of ordered equations: 0
% Current number of rules: 2057
% New rule produced :
% [3172]
% t(eta(A),difference(j(j(B)),eta(A))) <->
% difference(i(i(A)),difference(i(A),quotient(i(difference(A,difference(
% j(A),quotient(
% t(A,j(
% j(
% t(
% eta(A),B)))),
% j(A))))),
% j(A))))
% Current number of equations to process: 347
% Current number of ordered equations: 1
% Current number of rules: 2058
% New rule produced :
% [3173]
% difference(i(i(A)),difference(i(A),quotient(i(difference(A,difference(
% j(A),quotient(
% t(A,j(
% j(
% t(
% eta(A),B)))),
% j(A))))),
% j(A)))) <->
% t(eta(A),difference(j(j(B)),eta(A)))
% Current number of equations to process: 347
% Current number of ordered equations: 0
% Current number of rules: 2059
% New rule produced :
% [3174]
% t(eta(A),difference(i(i(B)),eta(A))) <->
% difference(i(i(A)),difference(i(A),quotient(i(difference(A,difference(
% j(A),quotient(
% t(A,i(
% i(
% t(
% eta(A),B)))),
% j(A))))),
% j(A))))
% Current number of equations to process: 346
% Current number of ordered equations: 1
% Current number of rules: 2060
% New rule produced :
% [3175]
% difference(i(i(A)),difference(i(A),quotient(i(difference(A,difference(
% j(A),quotient(
% t(A,i(
% i(
% t(
% eta(A),B)))),
% j(A))))),
% j(A)))) <->
% t(eta(A),difference(i(i(B)),eta(A)))
% Current number of equations to process: 346
% Current number of ordered equations: 0
% Current number of rules: 2061
% New rule produced :
% [3176]
% difference(t(quotient(A,B),B),difference(i(i(A)),difference(i(A),quotient(
% t(quotient(A,B),B),
% j(A))))) ->
% A
% Current number of equations to process: 345
% Current number of ordered equations: 0
% Current number of rules: 2062
% New rule produced :
% [3177]
% difference(i(i(A)),difference(i(A),quotient(i(difference(A,difference(
% j(A),quotient(
% t(A,i(
% i(
% i(
% i(
% i(
% i(i(A)))))))),
% j(A))))),
% j(A)))) -> i(i(i(i(i(i(A))))))
% Current number of equations to process: 344
% Current number of ordered equations: 0
% Current number of rules: 2063
% New rule produced :
% [3178]
% difference(i(i(A)),difference(i(A),quotient(i(difference(A,difference(
% j(A),quotient(
% t(A,i(
% i(
% i(
% i(
% i(
% i(
% i(i(A))))))))),
% j(A))))),
% j(A)))) -> i(i(i(i(i(i(i(A)))))))
% Current number of equations to process: 343
% Current number of ordered equations: 0
% Current number of rules: 2064
% New rule produced :
% [3179]
% difference(i(i(B)),difference(i(i(B)),difference(i(B),quotient(difference(
% i(B),quotient(
% quotient(A,B),
% j(B))),
% j(B))))) <->
% quotient(difference(A,difference(j(A),quotient(t(A,t(j(j(j(B))),quotient(B,
% j(B)))),
% j(A)))),i(i(B)))
% Current number of equations to process: 342
% Current number of ordered equations: 1
% Current number of rules: 2065
% New rule produced :
% [3180]
% quotient(difference(A,difference(j(A),quotient(t(A,t(j(j(j(B))),quotient(B,
% j(B)))),
% j(A)))),i(i(B))) <->
% difference(i(i(B)),difference(i(i(B)),difference(i(B),quotient(difference(
% i(B),quotient(
% quotient(A,B),
% j(B))),
% j(B)))))
% Current number of equations to process: 342
% Current number of ordered equations: 0
% Current number of rules: 2066
% New rule produced :
% [3181]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(i(i(A)),
% difference(i(A),quotient(
% i(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% j(A))))),
% j(B)))),A) -> i(A)
% Current number of equations to process: 341
% Current number of ordered equations: 0
% Current number of rules: 2067
% New rule produced :
% [3182]
% difference(C,difference(j(C),quotient(t(C,difference(i(i(A)),difference(
% i(A),quotient(
% difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),B),
% j(A))))),
% j(C)))) <->
% quotient(difference(i(difference(A,B)),B),difference(A,B))
% Current number of equations to process: 339
% Current number of ordered equations: 1
% Current number of rules: 2068
% New rule produced :
% [3183]
% quotient(difference(i(difference(A,B)),B),difference(A,B)) <->
% difference(C,difference(j(C),quotient(t(C,difference(i(i(A)),difference(
% i(A),quotient(
% difference(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,C),
% j(A)))),B),
% j(A))))),
% j(C))))
% Current number of equations to process: 339
% Current number of ordered equations: 0
% Current number of rules: 2069
% New rule produced :
% [3184]
% quotient(quotient(quotient(difference(i(i(A)),B),A),j(A)),i(A)) -> t(i(A),B)
% Current number of equations to process: 346
% Current number of ordered equations: 0
% Current number of rules: 2070
% New rule produced :
% [3185]
% quotient(quotient(difference(i(i(A)),B),A),j(A)) ->
% difference(A,quotient(quotient(B,j(A)),j(j(A))))
% Rule
% [627] difference(i(A),quotient(quotient(difference(i(i(A)),B),A),j(A))) -> B
% collapsed.
% Rule
% [2721] quotient(quotient(quotient(difference(i(i(A)),B),A),j(A)),B) -> i(A)
% collapsed.
% Rule
% [3184]
% quotient(quotient(quotient(difference(i(i(A)),B),A),j(A)),i(A)) -> t(i(A),B)
% collapsed.
% Current number of equations to process: 345
% Current number of ordered equations: 0
% Current number of rules: 2068
% New rule produced :
% [3186]
% difference(i(i(i(i(i(i(A)))))),quotient(eta(A),j(eta(A)))) -> i(i(i(A)))
% Current number of equations to process: 347
% Current number of ordered equations: 0
% Current number of rules: 2069
% New rule produced :
% [3187]
% difference(i(i(A)),difference(i(A),quotient(B,j(A)))) <->
% quotient(quotient(difference(i(B),A),j(B)),j(j(B)))
% Current number of equations to process: 346
% Current number of ordered equations: 1
% Current number of rules: 2070
% New rule produced :
% [3188]
% quotient(quotient(difference(i(B),A),j(B)),j(j(B))) <->
% difference(i(i(A)),difference(i(A),quotient(B,j(A))))
% Current number of equations to process: 346
% Current number of ordered equations: 0
% Current number of rules: 2071
% New rule produced :
% [3189]
% difference(i(i(A)),difference(i(A),quotient(i(i(B)),j(A)))) <->
% difference(i(B),quotient(quotient(A,B),j(B)))
% Current number of equations to process: 345
% Current number of ordered equations: 1
% Current number of rules: 2072
% New rule produced :
% [3190]
% difference(i(B),quotient(quotient(A,B),j(B))) <->
% difference(i(i(A)),difference(i(A),quotient(i(i(B)),j(A))))
% Rule
% [1648]
% quotient(difference(B,difference(j(B),quotient(t(B,difference(i(difference(A,
% difference(
% j(A),
% quotient(
% t(A,B),
% j(A))))),
% quotient(quotient(A,
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% j(difference(A,difference(
% j(A),
% quotient(
% t(A,B),
% j(A)))))))),
% j(B)))),A) ->
% difference(A,t(j(j(j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))),
% quotient(difference(A,difference(j(A),quotient(t(A,B),j(A)))),
% j(difference(A,difference(j(A),quotient(t(A,B),j(A))))))))
% collapsed.
% Current number of equations to process: 346
% Current number of ordered equations: 0
% Current number of rules: 2072
% New rule produced :
% [3191]
% difference(i(i(A)),quotient(quotient(difference(i(i(i(A))),B),j(A)),j(j(A))))
% -> B
% Current number of equations to process: 345
% Current number of ordered equations: 0
% Current number of rules: 2073
% New rule produced :
% [3192]
% quotient(quotient(eta(A),j(eta(A))),i(i(i(i(i(i(A))))))) ->
% i(i(i(i(i(i(i(i(i(A)))))))))
% Current number of equations to process: 344
% Current number of ordered equations: 0
% Current number of rules: 2074
% New rule produced :
% [3193]
% difference(i(A),quotient(quotient(t(A,i(t(j(A),quotient(A,j(A))))),A),j(A)))
% -> i(i(i(A)))
% Current number of equations to process: 343
% Current number of ordered equations: 0
% Current number of rules: 2075
% New rule produced :
% [3194]
% difference(i(i(i(i(i(i(i(i(i(A))))))))),quotient(eta(A),j(eta(A)))) ->
% i(i(i(i(i(i(A))))))
% Current number of equations to process: 342
% Current number of ordered equations: 0
% Current number of rules: 2076
% Rule [2363]
% quotient(i(i(A)),quotient(eta(A),j(eta(A)))) ->
% t(eta(A),quotient(j(j(A)),quotient(eta(A),j(eta(A))))) is composed into
% [2363] quotient(i(i(A)),quotient(eta(A),j(eta(A)))) -> t(eta(A),i(i(A)))
% New rule produced :
% [3195] quotient(j(j(A)),quotient(eta(A),j(eta(A)))) -> i(i(A))
% Current number of equations to process: 342
% Current number of ordered equations: 0
% Current number of rules: 2077
% New rule produced :
% [3196] difference(i(i(A)),j(j(A))) -> quotient(eta(A),j(eta(A)))
% Current number of equations to process: 342
% Current number of ordered equations: 0
% Current number of rules: 2078
% New rule produced :
% [3197]
% quotient(quotient(eta(A),j(eta(A))),i(i(i(i(i(i(i(i(i(A)))))))))) ->
% i(i(i(i(i(i(i(i(i(i(i(i(A))))))))))))
% Current number of equations to process: 343
% Current number of ordered equations: 0
% Current number of rules: 2079
% New rule produced :
% [3198]
% difference(i(i(i(i(i(i(i(i(i(i(i(i(A)))))))))))),quotient(eta(A),j(eta(A))))
% -> i(i(i(i(i(i(i(i(i(A)))))))))
% Current number of equations to process: 342
% Current number of ordered equations: 0
% Current number of rules: 2080
% Rule [2026] quotient(j(j(j(j(A)))),j(eta(A))) -> t(j(eta(A)),j(j(A))) is composed into
% [2026] quotient(j(j(j(j(A)))),j(eta(A))) -> j(j(j(j(j(j(A))))))
% New rule produced : [3199] t(j(eta(A)),j(j(A))) -> j(j(j(j(j(j(A))))))
% Rule [2027] difference(t(j(eta(A)),j(j(A))),j(j(j(j(A))))) -> j(eta(A))
% collapsed.
% Current number of equations to process: 343
% Current number of ordered equations: 0
% Current number of rules: 2080
% New rule produced : [3200] t(j(j(j(j(j(A))))),j(eta(A))) -> eta(A)
% Current number of equations to process: 345
% Current number of ordered equations: 0
% Current number of rules: 2081
% New rule produced :
% [3201]
% difference(eta(A),difference(j(eta(A)),j(j(j(j(j(A))))))) -> j(j(j(j(j(A)))))
% Current number of equations to process: 344
% Current number of ordered equations: 0
% Current number of rules: 2082
% Rule [2847]
% t(t(eta(A),B),j(A)) <-> t(eta(A),t(B,difference(eta(A),j(j(j(A)))))) is composed into
% [2847] t(t(eta(A),B),j(A)) -> t(eta(A),t(B,j(j(j(j(j(A)))))))
% Rule [672]
% quotient(t(eta(A),B),j(A)) <->
% t(eta(A),quotient(B,difference(eta(A),j(j(j(A)))))) is composed into
% [672] quotient(t(eta(A),B),j(A)) -> t(eta(A),quotient(B,j(j(j(j(j(A)))))))
% New rule produced : [3202] difference(eta(A),j(j(j(A)))) -> j(j(j(j(j(A)))))
% Rule
% [671]
% t(eta(A),quotient(B,difference(eta(A),j(j(j(A)))))) <->
% quotient(t(eta(A),B),j(A)) collapsed.
% Rule [2157] quotient(difference(eta(A),j(j(j(A)))),eta(A)) -> j(j(j(A)))
% collapsed.
% Rule
% [2846] t(eta(A),t(B,difference(eta(A),j(j(j(A)))))) <-> t(t(eta(A),B),j(A))
% collapsed.
% Current number of equations to process: 343
% Current number of ordered equations: 0
% Current number of rules: 2080
% New rule produced :
% [3203]
% 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: 343
% Current number of ordered equations: 0
% Current number of rules: 2081
% New rule produced :
% [3204]
% difference(i(i(A)),difference(i(A),quotient(i(difference(A,difference(
% j(A),quotient(
% t(A,i(
% i(
% i(
% i(
% i(
% i(
% i(
% i(i(A)))))))))),
% j(A))))),
% j(A)))) -> i(i(i(i(i(i(i(i(A))))))))
% Current number of equations to process: 342
% Current number of ordered equations: 0
% Current number of rules: 2082
% New rule produced :
% [3205] difference(j(A),j(t(j(j(j(A))),quotient(A,j(A))))) -> j(A)
% Current number of equations to process: 355
% Current number of ordered equations: 0
% Current number of rules: 2083
% New rule produced :
% [3206] difference(j(eta(A)),quotient(t(j(j(j(A))),quotient(A,j(A))),A)) -> A
% Current number of equations to process: 355
% Current number of ordered equations: 0
% Current number of rules: 2084
% New rule produced :
% [3207]
% difference(quotient(A,j(B)),quotient(quotient(difference(B,difference(j(B),A)),B),
% j(B))) -> j(B)
% Current number of equations to process: 354
% Current number of ordered equations: 0
% Current number of rules: 2085
% New rule produced :
% [3208]
% difference(t(j(quotient(A,B)),A),quotient(quotient(B,quotient(A,B)),j(
% quotient(A,B))))
% -> j(quotient(A,B))
% Current number of equations to process: 353
% Current number of ordered equations: 0
% Current number of rules: 2086
% New rule produced :
% [3209]
% difference(t(j(j(j(A))),A),quotient(t(j(j(A)),i(A)),j(j(j(A))))) ->
% j(j(j(A)))
% Current number of equations to process: 352
% Current number of ordered equations: 0
% Current number of rules: 2087
% New rule produced :
% [3210]
% quotient(quotient(quotient(j(A),t(j(A),B)),j(t(j(A),B))),quotient(quotient(
% difference(A,B),A),
% j(A))) ->
% j(t(j(A),B))
% Current number of equations to process: 351
% Current number of ordered equations: 0
% Current number of rules: 2088
% New rule produced :
% [3211]
% t(eta(A),difference(t(j(eta(A)),B),quotient(difference(eta(A),difference(
% j(eta(A)),
% t(j(eta(A)),B))),
% eta(A)))) -> j(eta(A))
% Current number of equations to process: 350
% Current number of ordered equations: 0
% Current number of rules: 2089
% New rule produced :
% [3212]
% t(j(t(j(A),B)),quotient(quotient(difference(A,B),A),j(A))) ->
% quotient(quotient(quotient(j(A),t(j(A),B)),j(t(j(A),B))),j(t(j(A),B)))
% Current number of equations to process: 349
% Current number of ordered equations: 0
% Current number of rules: 2090
% New rule produced :
% [3213]
% difference(t(j(t(eta(A),B)),quotient(C,eta(A))),t(eta(A),quotient(quotient(
% difference(B,
% difference(
% eta(A),C)),B),
% j(B)))) ->
% j(t(eta(A),B))
% Current number of equations to process: 348
% Current number of ordered equations: 0
% Current number of rules: 2091
% New rule produced :
% [3214]
% difference(t(j(t(quotient(A,B),B)),A),quotient(quotient(quotient(A,B),
% t(quotient(A,B),B)),j(
% t(
% quotient(A,B),B))))
% -> j(t(quotient(A,B),B))
% Current number of equations to process: 347
% Current number of ordered equations: 0
% Current number of rules: 2092
% New rule produced :
% [3215]
% difference(j(eta(A)),quotient(t(j(j(j(j(A)))),i(t(j(j(j(j(j(A))))),quotient(A,
% j(A))))),
% j(j(j(A))))) -> j(j(j(A)))
% Current number of equations to process: 346
% Current number of ordered equations: 0
% Current number of rules: 2093
% New rule produced :
% [3216]
% difference(t(j(j(A)),quotient(quotient(B,A),j(A))),quotient(quotient(
% difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A)))),
% j(A)),j(j(A))))
% -> j(j(A))
% Current number of equations to process: 346
% Current number of ordered equations: 0
% Current number of rules: 2094
% New rule produced :
% [3217]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% difference(A,
% quotient(
% quotient(
% difference(
% j(A),B),
% j(A)),
% j(
% j(A)))),
% j(
% eta(A))))))))
% -> eta(A)
% Current number of equations to process: 345
% Current number of ordered equations: 0
% Current number of rules: 2095
% New rule produced :
% [3218] quotient(quotient(t(j(j(j(A))),quotient(A,j(A))),A),eta(A)) -> A
% Current number of equations to process: 374
% Current number of ordered equations: 0
% Current number of rules: 2096
% New rule produced :
% [3219] quotient(quotient(t(j(j(A)),i(A)),j(j(j(A)))),A) -> j(j(j(A)))
% Current number of equations to process: 375
% Current number of ordered equations: 0
% Current number of rules: 2097
% New rule produced :
% [3220] quotient(quotient(t(j(A),quotient(A,j(A))),i(i(A))),eta(A)) -> i(i(A))
% Current number of equations to process: 374
% Current number of ordered equations: 0
% Current number of rules: 2098
% New rule produced :
% [3221] difference(t(j(j(j(A))),quotient(A,j(A))),j(j(j(j(A))))) -> j(j(j(A)))
% Current number of equations to process: 373
% Current number of ordered equations: 0
% Current number of rules: 2099
% New rule produced :
% [3222]
% quotient(quotient(t(j(j(j(A))),A),j(j(j(j(A))))),j(A)) -> j(j(j(j(A))))
% Current number of equations to process: 372
% Current number of ordered equations: 0
% Current number of rules: 2100
% New rule produced :
% [3223]
% quotient(quotient(quotient(A,j(B)),j(j(B))),quotient(quotient(difference(B,A),B),
% j(B))) -> j(j(B))
% Current number of equations to process: 371
% Current number of ordered equations: 0
% Current number of rules: 2101
% New rule produced :
% [3224]
% difference(t(j(A),quotient(eta(A),j(eta(A)))),quotient(quotient(j(j(j(A))),A),
% j(A))) -> j(A)
% Current number of equations to process: 369
% Current number of ordered equations: 0
% Current number of rules: 2102
% New rule produced :
% [3225]
% quotient(quotient(t(A,i(t(j(A),quotient(A,j(A))))),i(i(i(A)))),eta(A)) ->
% i(i(i(A)))
% Current number of equations to process: 368
% Current number of ordered equations: 0
% Current number of rules: 2103
% New rule produced :
% [3226]
% difference(i(A),difference(A,quotient(j(quotient(j(A),B)),j(j(A))))) ->
% quotient(quotient(B,quotient(j(A),B)),j(quotient(j(A),B)))
% Current number of equations to process: 367
% Current number of ordered equations: 0
% Current number of rules: 2104
% New rule produced :
% [3227]
% quotient(difference(A,quotient(j(quotient(j(A),B)),j(j(A)))),i(A)) ->
% t(i(A),quotient(quotient(B,quotient(j(A),B)),j(quotient(j(A),B))))
% Current number of equations to process: 366
% Current number of ordered equations: 0
% Current number of rules: 2105
% New rule produced :
% [3228]
% quotient(quotient(quotient(quotient(B,quotient(i(A),B)),j(quotient(i(A),B))),
% j(A)),j(j(A))) -> quotient(j(quotient(i(A),B)),A)
% Current number of equations to process: 365
% Current number of ordered equations: 0
% Current number of rules: 2106
% New rule produced :
% [3229]
% quotient(quotient(quotient(A,quotient(B,A)),j(quotient(B,A))),t(j(quotient(B,A)),B))
% -> t(t(j(quotient(B,A)),B),j(quotient(B,A)))
% Current number of equations to process: 364
% Current number of ordered equations: 0
% Current number of rules: 2107
% New rule produced :
% [3230]
% quotient(quotient(quotient(A,t(A,B)),j(t(A,B))),difference(A,difference(
% j(A),quotient(
% t(A,B),
% j(A))))) ->
% j(t(A,B))
% Current number of equations to process: 363
% Current number of ordered equations: 0
% Current number of rules: 2108
% New rule produced :
% [3231]
% difference(t(j(eta(A)),quotient(B,eta(A))),quotient(quotient(quotient(
% difference(
% eta(A),B),
% eta(A)),
% eta(A)),j(eta(A)))) ->
% j(eta(A))
% Current number of equations to process: 362
% Current number of ordered equations: 0
% Current number of rules: 2109
% New rule produced :
% [3232]
% quotient(difference(A,quotient(j(quotient(j(A),B)),j(j(A)))),quotient(
% quotient(B,
% quotient(
% j(A),B)),
% j(quotient(
% j(A),B)))) ->
% i(A)
% Current number of equations to process: 361
% Current number of ordered equations: 0
% Current number of rules: 2110
% New rule produced :
% [3233]
% difference(t(t(j(quotient(A,B)),A),j(quotient(A,B))),quotient(quotient(B,
% quotient(A,B)),
% j(quotient(A,B)))) ->
% t(j(quotient(A,B)),A)
% Current number of equations to process: 360
% Current number of ordered equations: 0
% Current number of rules: 2111
% New rule produced :
% [3234]
% t(eta(A),quotient(B,difference(eta(A),quotient(quotient(C,quotient(eta(A),C)),
% j(quotient(eta(A),C)))))) <->
% quotient(t(eta(A),B),j(quotient(eta(A),C)))
% Current number of equations to process: 359
% Current number of ordered equations: 1
% Current number of rules: 2112
% New rule produced :
% [3235]
% quotient(t(eta(A),B),j(quotient(eta(A),C))) <->
% t(eta(A),quotient(B,difference(eta(A),quotient(quotient(C,quotient(eta(A),C)),
% j(quotient(eta(A),C))))))
% Current number of equations to process: 359
% Current number of ordered equations: 0
% Current number of rules: 2113
% New rule produced :
% [3236]
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(B,quotient(A,B)),
% j(quotient(A,B)))),j(A)))) ->
% difference(j(A),quotient(j(quotient(A,B)),j(A)))
% Current number of equations to process: 358
% Current number of ordered equations: 0
% Current number of rules: 2114
% New rule produced :
% [3237]
% difference(t(j(eta(A)),difference(A,j(A))),quotient(quotient(quotient(
% quotient(
% difference(A,
% j(A)),A),
% i(A)),eta(A)),
% j(eta(A)))) -> j(eta(A))
% Current number of equations to process: 357
% Current number of ordered equations: 0
% Current number of rules: 2115
% New rule produced :
% [3238]
% quotient(quotient(quotient(i(A),t(i(A),B)),j(t(i(A),B))),difference(A,
% quotient(quotient(B,
% j(A)),
% j(j(A))))) ->
% j(t(i(A),B))
% Current number of equations to process: 356
% Current number of ordered equations: 0
% Current number of rules: 2116
% New rule produced :
% [3239]
% quotient(quotient(quotient(A,quotient(difference(B,eta(A)),A)),difference(A,
% difference(
% j(A),quotient(
% t(A,B),
% j(A))))),
% difference(B,eta(A))) -> j(quotient(difference(B,eta(A)),A))
% Current number of equations to process: 355
% Current number of ordered equations: 0
% Current number of rules: 2117
% New rule produced :
% [3240]
% difference(t(j(j(j(A))),B),quotient(quotient(difference(A,difference(A,
% quotient(quotient(
% difference(
% j(A),B),
% j(A)),
% j(j(A))))),A),
% j(A))) -> j(j(j(A)))
% Current number of equations to process: 354
% Current number of ordered equations: 0
% Current number of rules: 2118
% New rule produced :
% [3241]
% quotient(quotient(quotient(A,i(difference(A,difference(j(A),quotient(
% t(A,B),j(A)))))),
% j(quotient(difference(B,eta(A)),A))),difference(B,eta(A))) ->
% j(quotient(difference(B,eta(A)),A))
% Current number of equations to process: 355
% Current number of ordered equations: 0
% Current number of rules: 2119
% New rule produced :
% [3242]
% difference(t(t(eta(A),eta(B)),C),quotient(quotient(difference(j(t(eta(A),
% eta(B))),C),
% j(t(eta(A),eta(B)))),t(eta(A),
% eta(B)))) ->
% t(eta(A),eta(B))
% Current number of equations to process: 354
% Current number of ordered equations: 0
% Current number of rules: 2120
% New rule produced :
% [3243]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% j(
% quotient(
% eta(A),C)),
% j(
% eta(A))))))))
% ->
% t(eta(A),difference(B,difference(eta(A),quotient(quotient(C,quotient(
% eta(A),C)),
% j(quotient(eta(A),C))))))
% Rule
% [2596]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% j(
% quotient(
% eta(A),
% j(
% eta(A)))),
% j(
% eta(A))))))))
% -> t(eta(A),difference(B,j(quotient(eta(A),j(eta(A)))))) collapsed.
% Current number of equations to process: 354
% Current number of ordered equations: 0
% Current number of rules: 2120
% New rule produced :
% [3244]
% t(eta(A),difference(B,difference(eta(A),quotient(quotient(j(eta(A)),quotient(
% eta(A),
% j(
% eta(A)))),
% j(quotient(eta(A),j(eta(A)))))))) ->
% t(eta(A),difference(B,j(quotient(eta(A),j(eta(A))))))
% Current number of equations to process: 353
% Current number of ordered equations: 0
% Current number of rules: 2121
% New rule produced :
% [3245]
% quotient(quotient(quotient(quotient(A,eta(B)),t(eta(B),quotient(C,difference(
% eta(B),A)))),
% j(quotient(t(eta(B),C),quotient(A,eta(B))))),t(eta(B),C)) ->
% j(quotient(t(eta(B),C),quotient(A,eta(B))))
% Current number of equations to process: 351
% Current number of ordered equations: 1
% Current number of rules: 2122
% New rule produced :
% [3246]
% quotient(quotient(quotient(quotient(A,eta(B)),quotient(t(eta(B),C),quotient(A,
% eta(B)))),
% j(t(eta(B),quotient(C,difference(eta(B),A))))),t(eta(B),C)) ->
% j(quotient(t(eta(B),C),quotient(A,eta(B))))
% Current number of equations to process: 351
% Current number of ordered equations: 0
% Current number of rules: 2123
% New rule produced : [3247] quotient(j(j(j(A))),difference(A,j(A))) -> j(j(A))
% Current number of equations to process: 354
% Current number of ordered equations: 0
% Current number of rules: 2124
% New rule produced :
% [3248] quotient(j(j(j(j(A)))),quotient(i(i(A)),j(A))) -> j(A)
% Current number of equations to process: 360
% Current number of ordered equations: 0
% Current number of rules: 2125
% Rule [3196] difference(i(i(A)),j(j(A))) -> quotient(eta(A),j(eta(A))) is composed into
% [3196] difference(i(i(A)),j(j(A))) -> t(eta(A),quotient(A,j(j(j(j(A))))))
% Rule [2982]
% t(difference(A,j(j(j(j(A))))),t(eta(A),B)) ->
% t(eta(A),t(quotient(eta(A),j(eta(A))),B)) is composed into [2982]
% t(difference(A,
% j(j(
% j(j(A))))),
% t(eta(A),B))
% ->
% t(eta(A),
% t(t(eta(A),
% quotient(A,
% j(j(
% j(j(A)))))),B))
% Rule [2849]
% t(t(eta(A),B),difference(A,j(j(j(j(A)))))) ->
% t(eta(A),t(B,quotient(eta(A),j(eta(A))))) is composed into [2849]
% t(t(eta(A),B),
% difference(A,
% j(j(j(j(A))))))
% ->
% t(eta(A),
% t(B,t(
% eta(A),
% quotient(A,
% j(
% j(
% j(j(A))))))))
% Rule [2531] quotient(i(A),j(j(j(A)))) -> quotient(eta(A),j(eta(A))) is composed into
% [2531] quotient(i(A),j(j(j(A)))) -> t(eta(A),quotient(A,j(j(j(j(A))))))
% Rule [2376]
% eta(difference(A,j(j(j(j(A)))))) -> eta(quotient(eta(A),j(eta(A)))) is composed into
% [2376]
% eta(difference(A,j(j(j(j(A)))))) -> eta(t(eta(A),quotient(A,j(j(j(j(A)))))))
% Rule [2372]
% difference(difference(A,j(j(j(j(A))))),t(eta(A),B)) ->
% t(eta(A),difference(quotient(eta(A),j(eta(A))),B)) is composed into
% [2372]
% difference(difference(A,j(j(j(j(A))))),t(eta(A),B)) ->
% t(eta(A),difference(t(eta(A),quotient(A,j(j(j(j(A)))))),B))
% Rule [2371]
% quotient(difference(A,j(j(j(j(A))))),t(eta(A),B)) ->
% t(eta(A),quotient(quotient(eta(A),j(eta(A))),B)) is composed into
% [2371]
% quotient(difference(A,j(j(j(j(A))))),t(eta(A),B)) ->
% t(eta(A),quotient(t(eta(A),quotient(A,j(j(j(j(A)))))),B))
% Rule [2370]
% quotient(t(eta(A),B),difference(A,j(j(j(j(A)))))) ->
% t(eta(A),quotient(B,quotient(eta(A),j(eta(A))))) is composed into
% [2370]
% quotient(t(eta(A),B),difference(A,j(j(j(j(A)))))) ->
% t(eta(A),quotient(B,t(eta(A),quotient(A,j(j(j(j(A))))))))
% Rule [2218]
% i(difference(A,difference(j(A),quotient(t(A,i(i(i(i(i(A)))))),j(A)))))
% -> quotient(eta(A),j(eta(A))) is composed into [2218]
% i(difference(A,difference(
% j(A),
% quotient(
% t(A,
% i(
% i(
% i(
% i(i(A)))))),
% j(A)))))
% ->
% t(eta(A),quotient(A,
% j(j(j(j(A))))))
% Rule [2113] quotient(i(i(A)),j(j(A))) -> quotient(eta(A),j(eta(A))) is composed into
% [2113] quotient(i(i(A)),j(j(A))) -> t(eta(A),quotient(A,j(j(j(j(A))))))
% Rule [2112] quotient(i(i(i(i(A)))),A) -> quotient(eta(A),j(eta(A))) is composed into
% [2112] quotient(i(i(i(i(A)))),A) -> t(eta(A),quotient(A,j(j(j(j(A))))))
% Rule [1010]
% quotient(quotient(quotient(j(j(j(A))),A),j(A)),j(A)) ->
% t(j(A),quotient(eta(A),j(eta(A)))) is composed into [1010]
% quotient(quotient(
% quotient(
% j(j(j(A))),A),
% j(A)),
% j(A)) ->
% t(j(A),t(eta(A),
% quotient(A,
% j(j(j(j(A)))))))
% Rule [865]
% difference(A,quotient(quotient(quotient(quotient(quotient(difference(
% j(A),difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% i(A)),
% j(B))))),
% j(A)),j(j(A))),
% i(A)),j(A)),j(j(A)))) <->
% difference(quotient(eta(A),j(eta(A))),difference(j(quotient(eta(A),
% j(eta(A)))),quotient(
% t(
% quotient(
% eta(A),
% j(
% eta(A))),B),
% j(
% quotient(
% eta(A),
% j(
% eta(A))))))) is composed into
% [865]
% difference(A,quotient(quotient(quotient(quotient(quotient(difference(
% j(A),difference(B,
% difference(
% j(B),quotient(
% t(B,
% i(A)),
% j(B))))),
% j(A)),j(j(A))),i(A)),
% j(A)),j(j(A)))) <->
% difference(t(eta(A),quotient(A,j(j(j(j(A)))))),difference(j(t(eta(A),
% quotient(A,
% j(j(j(j(A))))))),
% quotient(t(t(eta(A),quotient(A,
% j(
% j(
% j(j(A)))))),B),
% j(t(eta(A),quotient(A,
% j(j(j(j(A))))))))))
% Rule [753]
% quotient(quotient(quotient(difference(j(A),difference(B,difference(
% j(B),quotient(
% t(B,
% i(A)),
% j(B))))),
% j(A)),j(j(A))),i(A)) <->
% difference(i(A),difference(quotient(eta(A),j(eta(A))),difference(
% j(quotient(
% eta(A),j(eta(A)))),
% quotient(t(
% quotient(
% eta(A),
% j(
% eta(A))),B),
% j(quotient(
% eta(A),j(eta(A)))))))) is composed into
% [753]
% quotient(quotient(quotient(difference(j(A),difference(B,difference(j(B),
% quotient(t(B,i(A)),
% j(B))))),j(A)),
% j(j(A))),i(A)) <->
% difference(i(A),difference(t(eta(A),quotient(A,j(j(j(j(A)))))),difference(
% j(t(eta(A),
% quotient(A,
% j(j(j(j(A))))))),
% quotient(
% t(t(eta(A),
% quotient(A,
% j(j(j(j(A)))))),B),
% j(t(eta(A),
% quotient(A,
% j(j(j(j(A)))))))))))
% Rule [531] quotient(i(i(i(A))),j(A)) -> quotient(eta(A),j(eta(A))) is composed into
% [531] quotient(i(i(i(A))),j(A)) -> t(eta(A),quotient(A,j(j(j(j(A))))))
% Rule [516] difference(eta(A),j(eta(A))) -> i(quotient(eta(A),j(eta(A)))) is composed into
% [516] difference(eta(A),j(eta(A))) -> i(t(eta(A),quotient(A,j(j(j(j(A)))))))
% New rule produced :
% [3249] quotient(eta(A),j(eta(A))) -> t(eta(A),quotient(A,j(j(j(j(A))))))
% Rule [532] difference(A,quotient(eta(A),j(eta(A)))) -> j(j(j(A))) collapsed.
% Rule [555] t(eta(A),quotient(eta(A),j(eta(A)))) -> quotient(eta(A),j(eta(A)))
% collapsed.
% Rule [563] quotient(quotient(eta(A),j(eta(A))),j(j(A))) -> i(A) collapsed.
% Rule [628] quotient(quotient(eta(A),j(eta(A))),A) -> i(i(i(A))) collapsed.
% Rule
% [629] quotient(quotient(eta(A),j(eta(A))),i(i(i(A)))) -> i(i(i(i(i(i(A))))))
% collapsed.
% Rule [679] quotient(quotient(eta(A),j(eta(A))),j(j(j(A)))) -> A collapsed.
% Rule
% [754]
% difference(i(A),difference(quotient(eta(A),j(eta(A))),difference(j(quotient(
% eta(A),
% j(
% eta(A)))),
% quotient(t(quotient(
% eta(A),
% j(eta(A))),B),
% j(quotient(eta(A),
% j(eta(A)))))))) <->
% quotient(quotient(quotient(difference(j(A),difference(B,difference(j(B),
% quotient(t(B,i(A)),
% j(B))))),j(A)),
% j(j(A))),i(A)) collapsed.
% Rule [787] quotient(quotient(eta(A),j(eta(A))),j(A)) -> i(i(A)) collapsed.
% Rule [793] difference(i(A),quotient(eta(A),j(eta(A)))) -> j(j(A)) collapsed.
% Rule [862] difference(i(i(i(A))),quotient(eta(A),j(eta(A)))) -> A collapsed.
% Rule
% [866]
% difference(quotient(eta(A),j(eta(A))),difference(j(quotient(eta(A),j(eta(A)))),
% quotient(t(quotient(eta(A),j(eta(A))),B),
% j(quotient(eta(A),j(eta(A))))))) <->
% difference(A,quotient(quotient(quotient(quotient(quotient(difference(
% j(A),difference(B,
% difference(
% j(B),quotient(
% t(B,
% i(A)),
% j(B))))),
% j(A)),j(j(A))),i(A)),
% j(A)),j(j(A)))) collapsed.
% Rule [897] quotient(quotient(eta(A),j(eta(A))),i(A)) -> i(i(i(i(A))))
% collapsed.
% Rule
% [1076]
% quotient(quotient(quotient(j(j(j(A))),A),j(A)),quotient(eta(A),j(eta(A)))) ->
% j(A) collapsed.
% Rule
% [1099]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,quotient(
% eta(B),j(eta(B)))),
% j(A)))),j(j(B))),i(B)) <->
% difference(quotient(eta(B),j(eta(B))),difference(B,quotient(quotient(
% quotient(
% quotient(
% difference(
% j(B),A),j(B)),B),
% j(B)),j(j(
% j(j(B)))))))
% collapsed.
% Rule
% [1102]
% difference(A,difference(j(A),quotient(t(A,quotient(eta(A),j(eta(A)))),j(A))))
% -> j(j(j(j(A)))) collapsed.
% Rule
% [1148]
% quotient(quotient(difference(A,difference(j(A),quotient(t(A,quotient(
% eta(B),j(eta(B)))),
% j(A)))),j(j(j(j(B))))),
% eta(B)) ->
% quotient(difference(A,difference(j(A),quotient(t(A,quotient(eta(B),j(eta(B)))),
% j(A)))),j(j(B))) collapsed.
% Rule
% [1189]
% quotient(quotient(quotient(difference(j(A),quotient(difference(B,difference(
% j(B),
% quotient(
% t(B,
% quotient(
% eta(A),
% j(eta(A)))),
% j(B)))),
% j(j(j(j(A)))))),j(A)),j(j(A))),
% eta(A)) ->
% quotient(quotient(difference(j(A),quotient(difference(B,difference(j(B),
% quotient(t(B,
% quotient(
% eta(A),
% j(eta(A)))),
% j(B)))),j(j(A)))),
% j(A)),j(j(A))) collapsed.
% Rule
% [1323]
% quotient(difference(j(j(j(j(A)))),quotient(A,j(j(j(j(A)))))),quotient(
% eta(A),j(eta(A))))
% -> j(j(j(A))) collapsed.
% Rule
% [1398]
% difference(eta(A),difference(quotient(eta(A),j(eta(A))),difference(j(
% quotient(
% eta(A),
% j(
% eta(A)))),
% quotient(t(quotient(
% eta(A),
% j(
% eta(A))),B),
% j(quotient(eta(A),
% j(eta(A)))))))) ->
% difference(A,quotient(quotient(difference(j(A),B),j(A)),j(j(A)))) collapsed.
% Rule
% [1409] t(j(j(A)),quotient(eta(A),j(eta(A)))) -> i(quotient(eta(A),j(eta(A))))
% collapsed.
% Rule
% [1789]
% t(eta(A),difference(t(A,B),difference(j(t(A,B)),quotient(t(t(A,B),quotient(
% difference(A,
% difference(
% j(A),
% quotient(
% t(A,
% difference(
% quotient(
% eta(A),
% j(eta(A))),
% difference(
% j(quotient(
% eta(A),
% j(
% eta(A)))),
% quotient(
% t(quotient(
% eta(A),
% j(
% eta(A))),
% t(A,B)),
% j(quotient(
% eta(A),
% j(
% eta(A)))))))),
% j(A)))),
% t(A,B))),
% j(t(A,B)))))) ->
% difference(A,quotient(quotient(difference(j(A),difference(A,difference(
% j(A),quotient(
% t(A,
% difference(B,
% difference(
% j(B),
% quotient(
% t(B,
% eta(A)),
% j(B))))),
% j(A))))),
% j(A)),j(j(A)))) collapsed.
% Rule [1907] quotient(j(eta(A)),i(quotient(eta(A),j(eta(A))))) -> eta(A)
% collapsed.
% Rule [1960] difference(j(eta(A)),i(quotient(eta(A),j(eta(A))))) -> j(eta(A))
% collapsed.
% Rule [1962] quotient(i(quotient(eta(A),j(eta(A)))),j(eta(A))) -> j(eta(A))
% collapsed.
% Rule
% [1970]
% quotient(t(eta(A),B),i(quotient(eta(A),j(eta(A))))) ->
% t(eta(A),quotient(B,i(quotient(eta(A),j(eta(A)))))) collapsed.
% Rule
% [1971]
% quotient(i(quotient(eta(A),j(eta(A)))),t(eta(A),B)) ->
% t(eta(A),quotient(i(quotient(eta(A),j(eta(A)))),B)) collapsed.
% Rule
% [1972]
% difference(i(quotient(eta(A),j(eta(A)))),t(eta(A),B)) ->
% t(eta(A),difference(i(quotient(eta(A),j(eta(A)))),B)) collapsed.
% Rule [2114] difference(quotient(eta(A),j(eta(A))),i(i(i(A)))) -> j(A)
% collapsed.
% Rule
% [2116]
% quotient(i(i(i(A))),quotient(eta(A),j(eta(A)))) ->
% t(quotient(eta(A),j(eta(A))),j(A)) collapsed.
% Rule
% [2117]
% difference(t(quotient(eta(A),j(eta(A))),j(A)),i(i(i(A)))) ->
% quotient(eta(A),j(eta(A))) collapsed.
% Rule
% [2118]
% difference(j(A),difference(j(A),difference(j(j(A)),quotient(eta(A),j(eta(A))))))
% -> j(j(j(j(A)))) collapsed.
% Rule
% [2121]
% 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)))) collapsed.
% Rule
% [2122]
% 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 [2124] difference(j(A),quotient(eta(A),j(eta(A)))) -> j(j(j(j(A))))
% collapsed.
% Rule [2212] t(quotient(eta(A),j(eta(A))),j(eta(A))) -> j(eta(A)) collapsed.
% Rule
% [2213] t(j(eta(A)),quotient(eta(A),j(eta(A)))) -> quotient(eta(A),j(eta(A)))
% collapsed.
% Rule
% [2214]
% t(eta(A),eta(quotient(eta(A),j(eta(A))))) -> eta(quotient(eta(A),j(eta(A))))
% collapsed.
% Rule
% [2217]
% quotient(difference(quotient(eta(A),j(eta(A))),j(eta(A))),j(eta(A))) ->
% i(quotient(eta(A),j(eta(A)))) collapsed.
% Rule
% [2232]
% t(t(eta(A),B),quotient(eta(A),j(eta(A)))) ->
% t(eta(A),t(B,quotient(eta(A),j(eta(A))))) collapsed.
% Rule
% [2233]
% t(quotient(eta(A),j(eta(A))),t(eta(A),B)) ->
% t(eta(A),t(quotient(eta(A),j(eta(A))),B)) collapsed.
% Rule
% [2234]
% difference(quotient(eta(A),j(eta(A))),t(eta(A),B)) ->
% t(eta(A),difference(quotient(eta(A),j(eta(A))),B)) collapsed.
% Rule
% [2235]
% quotient(t(eta(A),B),quotient(eta(A),j(eta(A)))) ->
% t(eta(A),quotient(B,quotient(eta(A),j(eta(A))))) collapsed.
% Rule
% [2236]
% quotient(quotient(eta(A),j(eta(A))),t(eta(A),B)) ->
% t(eta(A),quotient(quotient(eta(A),j(eta(A))),B)) collapsed.
% Rule
% [2237]
% t(eta(A),quotient(quotient(eta(A),j(eta(A))),j(eta(A)))) ->
% quotient(quotient(eta(A),j(eta(A))),j(eta(A))) collapsed.
% Rule
% [2238]
% t(eta(A),quotient(j(eta(A)),quotient(eta(A),j(eta(A))))) ->
% quotient(j(eta(A)),quotient(eta(A),j(eta(A)))) collapsed.
% Rule
% [2239]
% t(eta(A),difference(j(eta(A)),quotient(eta(A),j(eta(A))))) ->
% difference(j(eta(A)),quotient(eta(A),j(eta(A)))) collapsed.
% Rule
% [2240]
% t(eta(A),difference(quotient(eta(A),j(eta(A))),difference(eta(A),B))) ->
% difference(quotient(eta(A),j(eta(A))),quotient(B,eta(A))) collapsed.
% Rule
% [2242]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% quotient(
% eta(A),
% j(
% eta(A))),
% j(
% eta(A))))))))
% -> t(eta(A),difference(B,quotient(eta(A),j(eta(A))))) collapsed.
% Rule
% [2244]
% difference(eta(A),j(quotient(eta(A),j(eta(A))))) ->
% quotient(j(quotient(eta(A),j(eta(A)))),eta(A)) collapsed.
% Rule
% [2245]
% difference(eta(A),i(quotient(eta(A),j(eta(A))))) ->
% quotient(i(quotient(eta(A),j(eta(A)))),eta(A)) collapsed.
% Rule
% [2247]
% t(eta(A),t(quotient(eta(A),j(eta(A))),eta(A))) ->
% t(quotient(eta(A),j(eta(A))),eta(A)) collapsed.
% Rule
% [2263]
% t(eta(A),quotient(eta(A),j(quotient(eta(A),j(eta(A)))))) ->
% quotient(eta(A),j(quotient(eta(A),j(eta(A))))) collapsed.
% Rule
% [2276]
% t(eta(A),quotient(eta(A),i(quotient(eta(A),j(eta(A)))))) ->
% quotient(eta(A),i(quotient(eta(A),j(eta(A))))) collapsed.
% Rule
% [2288]
% t(eta(A),quotient(j(quotient(eta(A),j(eta(A)))),eta(A))) ->
% quotient(j(quotient(eta(A),j(eta(A)))),eta(A)) collapsed.
% Rule
% [2298]
% 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
% [2330]
% difference(j(j(A)),difference(j(j(j(A))),quotient(i(quotient(eta(A),j(eta(A)))),
% j(j(j(A)))))) ->
% difference(j(j(j(A))),quotient(eta(A),j(eta(A)))) collapsed.
% Rule [2350] quotient(quotient(eta(A),j(eta(A))),i(i(A))) -> i(i(i(i(i(A)))))
% collapsed.
% Rule [2363] quotient(i(i(A)),quotient(eta(A),j(eta(A)))) -> t(eta(A),i(i(A)))
% collapsed.
% Rule
% [2369]
% difference(j(eta(A)),quotient(i(quotient(eta(A),j(eta(A)))),eta(A))) ->
% i(quotient(eta(A),j(eta(A)))) collapsed.
% Rule
% [2373]
% difference(i(i(A)),quotient(eta(A),j(eta(A)))) ->
% t(eta(A),difference(j(j(A)),quotient(eta(A),j(eta(A))))) collapsed.
% Rule
% [2467]
% t(eta(A),quotient(j(A),quotient(eta(A),j(eta(A))))) ->
% t(quotient(eta(A),j(eta(A))),j(A)) collapsed.
% Rule
% [2476]
% quotient(quotient(i(quotient(eta(A),j(eta(A)))),eta(A)),j(eta(A))) ->
% i(quotient(eta(A),j(eta(A)))) collapsed.
% Rule [2494] difference(i(i(i(i(A)))),quotient(eta(A),j(eta(A)))) -> i(A)
% collapsed.
% Rule
% [2504]
% quotient(quotient(eta(A),j(eta(A))),i(i(i(i(A))))) -> i(i(i(i(i(i(i(A)))))))
% collapsed.
% Rule
% [2509]
% quotient(i(i(i(i(A)))),quotient(eta(A),j(eta(A)))) ->
% t(eta(A),quotient(A,quotient(eta(A),j(eta(A))))) collapsed.
% Rule [2536] quotient(j(j(j(j(A)))),quotient(eta(A),j(eta(A)))) -> A
% collapsed.
% Rule
% [2556]
% t(quotient(eta(A),j(eta(A))),i(i(i(i(A))))) ->
% t(eta(A),t(quotient(eta(A),j(eta(A))),A)) collapsed.
% Rule
% [2564]
% t(i(i(i(i(A)))),quotient(eta(A),j(eta(A)))) ->
% t(eta(A),t(A,quotient(eta(A),j(eta(A))))) collapsed.
% Rule
% [2578]
% difference(quotient(eta(A),j(eta(A))),j(t(eta(A),B))) ->
% t(eta(A),difference(quotient(eta(A),j(eta(A))),j(B))) collapsed.
% Rule
% [2606]
% difference(j(quotient(eta(A),j(eta(A)))),t(eta(A),B)) ->
% t(eta(A),difference(j(quotient(eta(A),j(eta(A)))),B)) collapsed.
% Rule
% [2607]
% difference(j(t(eta(A),B)),quotient(eta(A),j(eta(A)))) ->
% t(eta(A),difference(j(B),quotient(eta(A),j(eta(A))))) collapsed.
% Rule
% [2634]
% quotient(t(eta(A),B),j(quotient(eta(A),j(eta(A))))) ->
% t(eta(A),quotient(B,j(quotient(eta(A),j(eta(A)))))) collapsed.
% Rule
% [2635]
% 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
% [2657]
% quotient(j(quotient(eta(A),j(eta(A)))),t(eta(A),B)) ->
% t(eta(A),quotient(j(quotient(eta(A),j(eta(A)))),B)) collapsed.
% Rule
% [2658]
% quotient(j(t(eta(A),B)),quotient(eta(A),j(eta(A)))) ->
% t(eta(A),quotient(j(B),quotient(eta(A),j(eta(A))))) collapsed.
% Rule
% [2675]
% difference(quotient(eta(A),j(eta(A))),i(t(eta(A),B))) ->
% t(eta(A),difference(quotient(eta(A),j(eta(A))),i(B))) collapsed.
% Rule
% [2692]
% difference(i(t(eta(A),B)),quotient(eta(A),j(eta(A)))) ->
% t(eta(A),difference(i(B),quotient(eta(A),j(eta(A))))) collapsed.
% Rule
% [2707]
% 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
% [2729]
% quotient(i(t(eta(A),B)),quotient(eta(A),j(eta(A)))) ->
% t(eta(A),quotient(i(B),quotient(eta(A),j(eta(A))))) collapsed.
% Rule
% [2764]
% t(eta(A),quotient(j(quotient(eta(A),j(eta(A)))),j(eta(A)))) ->
% quotient(j(quotient(eta(A),j(eta(A)))),j(eta(A))) collapsed.
% Rule
% [2779]
% 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.
% Rule
% [2790]
% t(eta(A),difference(j(quotient(eta(A),j(eta(A)))),j(eta(A)))) ->
% difference(j(quotient(eta(A),j(eta(A)))),j(eta(A))) collapsed.
% Rule
% [2796]
% t(eta(A),difference(i(quotient(eta(A),j(eta(A)))),j(eta(A)))) ->
% difference(i(quotient(eta(A),j(eta(A)))),j(eta(A))) collapsed.
% Rule
% [2806]
% 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))))) collapsed.
% Rule
% [2850]
% t(t(eta(A),B),i(quotient(eta(A),j(eta(A))))) ->
% t(eta(A),t(B,i(quotient(eta(A),j(eta(A)))))) collapsed.
% Rule
% [2983]
% t(i(quotient(eta(A),j(eta(A)))),t(eta(A),B)) ->
% t(eta(A),t(i(quotient(eta(A),j(eta(A)))),B)) collapsed.
% Rule
% [3038]
% t(t(eta(A),B),j(quotient(eta(A),j(eta(A))))) ->
% t(eta(A),t(B,j(quotient(eta(A),j(eta(A)))))) collapsed.
% Rule
% [3039]
% t(quotient(eta(A),j(eta(A))),j(t(eta(A),B))) ->
% t(eta(A),t(quotient(eta(A),j(eta(A))),j(B))) collapsed.
% Rule
% [3067]
% t(j(quotient(eta(A),j(eta(A)))),t(eta(A),B)) ->
% t(eta(A),t(j(quotient(eta(A),j(eta(A)))),B)) collapsed.
% Rule
% [3068]
% t(j(t(eta(A),B)),quotient(eta(A),j(eta(A)))) ->
% t(eta(A),t(j(B),quotient(eta(A),j(eta(A))))) collapsed.
% Rule
% [3090]
% t(quotient(eta(A),j(eta(A))),i(t(eta(A),B))) ->
% t(eta(A),t(quotient(eta(A),j(eta(A))),i(B))) collapsed.
% Rule
% [3117]
% t(i(t(eta(A),B)),quotient(eta(A),j(eta(A)))) ->
% t(eta(A),t(i(B),quotient(eta(A),j(eta(A))))) collapsed.
% Rule
% [3141]
% difference(i(i(i(i(i(i(i(A))))))),quotient(eta(A),j(eta(A)))) ->
% i(i(i(i(A)))) collapsed.
% Rule [3163] difference(j(eta(A)),eta(quotient(eta(A),j(eta(A))))) -> eta(A)
% collapsed.
% Rule
% [3186]
% difference(i(i(i(i(i(i(A)))))),quotient(eta(A),j(eta(A)))) -> i(i(i(A)))
% collapsed.
% Rule
% [3192]
% quotient(quotient(eta(A),j(eta(A))),i(i(i(i(i(i(A))))))) ->
% i(i(i(i(i(i(i(i(i(A))))))))) collapsed.
% Rule
% [3194]
% difference(i(i(i(i(i(i(i(i(i(A))))))))),quotient(eta(A),j(eta(A)))) ->
% i(i(i(i(i(i(A)))))) collapsed.
% Rule [3195] quotient(j(j(A)),quotient(eta(A),j(eta(A)))) -> i(i(A))
% collapsed.
% Rule
% [3197]
% quotient(quotient(eta(A),j(eta(A))),i(i(i(i(i(i(i(i(i(A)))))))))) ->
% i(i(i(i(i(i(i(i(i(i(i(i(A)))))))))))) collapsed.
% Rule
% [3198]
% difference(i(i(i(i(i(i(i(i(i(i(i(i(A)))))))))))),quotient(eta(A),j(eta(A))))
% -> i(i(i(i(i(i(i(i(i(A))))))))) collapsed.
% Rule
% [3224]
% difference(t(j(A),quotient(eta(A),j(eta(A)))),quotient(quotient(j(j(j(A))),A),
% j(A))) -> j(A) collapsed.
% Rule
% [3244]
% t(eta(A),difference(B,difference(eta(A),quotient(quotient(j(eta(A)),quotient(
% eta(A),
% j(
% eta(A)))),
% j(quotient(eta(A),j(eta(A)))))))) ->
% t(eta(A),difference(B,j(quotient(eta(A),j(eta(A)))))) collapsed.
% Current number of equations to process: 477
% Current number of ordered equations: 0
% Current number of rules: 2024
% New rule produced :
% [3250] difference(A,t(eta(A),quotient(A,j(j(j(j(A))))))) -> j(j(j(A)))
% Current number of equations to process: 478
% Current number of ordered equations: 0
% Current number of rules: 2025
% New rule produced :
% [3251]
% t(eta(A),quotient(quotient(A,j(j(j(j(A))))),j(j(j(j(A)))))) -> i(i(i(A)))
% Current number of equations to process: 477
% Current number of ordered equations: 0
% Current number of rules: 2026
% New rule produced :
% [3252] t(eta(A),quotient(j(eta(A)),j(j(j(j(A)))))) -> j(j(j(A)))
% Current number of equations to process: 476
% Current number of ordered equations: 0
% Current number of rules: 2027
% New rule produced :
% [3253] t(eta(A),difference(j(j(j(A))),quotient(A,j(j(j(j(A))))))) -> j(j(A))
% Current number of equations to process: 475
% Current number of ordered equations: 0
% Current number of rules: 2028
% New rule produced :
% [3254] quotient(j(t(eta(A),B)),A) -> t(eta(A),quotient(j(B),j(j(j(j(A))))))
% Current number of equations to process: 474
% Current number of ordered equations: 0
% Current number of rules: 2029
% New rule produced :
% [3255] quotient(i(t(eta(A),B)),A) -> t(eta(A),quotient(i(B),j(j(j(j(A))))))
% Current number of equations to process: 473
% Current number of ordered equations: 0
% Current number of rules: 2030
% New rule produced :
% [3256] quotient(t(eta(A),quotient(A,j(j(j(j(A)))))),j(j(A))) -> i(A)
% Current number of equations to process: 473
% Current number of ordered equations: 0
% Current number of rules: 2031
% New rule produced :
% [3257] t(eta(A),difference(j(A),quotient(A,j(j(j(j(A))))))) -> A
% Current number of equations to process: 472
% Current number of ordered equations: 0
% Current number of rules: 2032
% New rule produced :
% [3258]
% t(eta(A),quotient(quotient(A,j(j(j(j(A))))),j(j(j(A))))) -> i(i(i(i(A))))
% Current number of equations to process: 471
% Current number of ordered equations: 0
% Current number of rules: 2033
% New rule produced :
% [3259] quotient(t(eta(A),quotient(A,j(j(j(j(A)))))),j(j(j(A)))) -> A
% Current number of equations to process: 470
% Current number of ordered equations: 0
% Current number of rules: 2034
% New rule produced :
% [3260] difference(j(A),t(eta(A),quotient(A,j(j(j(j(A))))))) -> j(j(j(j(A))))
% Current number of equations to process: 469
% Current number of ordered equations: 0
% Current number of rules: 2035
% New rule produced :
% [3261] t(eta(A),t(quotient(A,j(j(j(j(A))))),j(eta(A)))) -> j(eta(A))
% Current number of equations to process: 468
% Current number of ordered equations: 0
% Current number of rules: 2036
% New rule produced :
% [3262] quotient(j(j(A)),t(eta(A),quotient(A,j(j(j(j(A))))))) -> i(i(A))
% Current number of equations to process: 467
% Current number of ordered equations: 0
% Current number of rules: 2037
% New rule produced :
% [3263]
% difference(j(eta(A)),eta(t(eta(A),quotient(A,j(j(j(j(A)))))))) -> eta(A)
% Current number of equations to process: 466
% Current number of ordered equations: 0
% Current number of rules: 2038
% New rule produced :
% [3264] t(eta(A),quotient(j(eta(A)),i(quotient(A,j(j(j(j(A)))))))) -> eta(A)
% Current number of equations to process: 465
% Current number of ordered equations: 0
% Current number of rules: 2039
% New rule produced :
% [3265] t(eta(A),difference(quotient(A,j(j(j(j(A))))),j(A))) -> j(A)
% Current number of equations to process: 464
% Current number of ordered equations: 0
% Current number of rules: 2040
% New rule produced :
% [3266]
% t(eta(A),difference(j(eta(A)),i(quotient(A,j(j(j(j(A)))))))) -> j(eta(A))
% Current number of equations to process: 463
% Current number of ordered equations: 0
% Current number of rules: 2041
% New rule produced :
% [3267]
% t(eta(A),quotient(i(quotient(A,j(j(j(j(A)))))),j(eta(A)))) -> j(eta(A))
% Current number of equations to process: 462
% Current number of ordered equations: 0
% Current number of rules: 2042
% New rule produced :
% [3268] quotient(j(j(j(j(A)))),t(eta(A),quotient(A,j(j(j(j(A))))))) -> A
% Current number of equations to process: 461
% Current number of ordered equations: 0
% Current number of rules: 2043
% New rule produced :
% [3269]
% t(eta(A),quotient(quotient(A,j(j(j(j(A))))),j(j(A)))) -> i(i(i(i(i(A)))))
% Current number of equations to process: 460
% Current number of ordered equations: 0
% Current number of rules: 2044
% New rule produced :
% [3270]
% t(eta(A),quotient(j(j(A)),quotient(A,j(j(j(j(A))))))) -> i(i(i(i(i(i(A))))))
% Current number of equations to process: 459
% Current number of ordered equations: 0
% Current number of rules: 2045
% New rule produced :
% [3271] t(eta(A),difference(A,quotient(A,j(j(j(j(A))))))) -> i(A)
% Current number of equations to process: 458
% Current number of ordered equations: 0
% Current number of rules: 2046
% New rule produced :
% [3272]
% t(eta(A),t(eta(A),quotient(A,j(j(j(j(A))))))) ->
% t(eta(A),quotient(A,j(j(j(j(A))))))
% Current number of equations to process: 457
% Current number of ordered equations: 0
% Current number of rules: 2047
% New rule produced :
% [3273]
% quotient(quotient(t(j(j(A)),i(A)),j(j(j(A)))),j(j(A))) -> j(j(j(j(j(A)))))
% Current number of equations to process: 456
% Current number of ordered equations: 0
% Current number of rules: 2048
% New rule produced :
% [3274]
% t(eta(A),quotient(quotient(A,j(j(j(j(A))))),j(A))) -> i(i(i(i(i(i(A))))))
% Current number of equations to process: 455
% Current number of ordered equations: 0
% Current number of rules: 2049
% New rule produced :
% [3275]
% t(eta(A),t(j(eta(A)),quotient(A,j(j(j(j(A))))))) ->
% t(eta(A),quotient(A,j(j(j(j(A))))))
% Current number of equations to process: 454
% Current number of ordered equations: 0
% Current number of rules: 2050
% New rule produced :
% [3276]
% difference(i(i(A)),difference(i(A),quotient(j(quotient(A,B)),j(A)))) ->
% quotient(quotient(B,quotient(A,B)),j(quotient(A,B)))
% Current number of equations to process: 453
% Current number of ordered equations: 0
% Current number of rules: 2051
% New rule produced :
% [3277]
% t(j(j(A)),t(eta(A),quotient(A,j(j(j(j(A))))))) ->
% i(t(eta(A),quotient(A,j(j(j(j(A)))))))
% Current number of equations to process: 452
% Current number of ordered equations: 0
% Current number of rules: 2052
% New rule produced :
% [3278]
% t(eta(A),eta(t(eta(A),quotient(A,j(j(j(j(A)))))))) ->
% eta(t(eta(A),quotient(A,j(j(j(j(A)))))))
% Current number of equations to process: 451
% Current number of ordered equations: 0
% Current number of rules: 2053
% New rule produced :
% [3279]
% quotient(quotient(t(j(j(j(A))),quotient(A,j(A))),A),t(eta(A),quotient(A,
% j(j(j(j(A)))))))
% -> i(i(A))
% Current number of equations to process: 450
% Current number of ordered equations: 0
% Current number of rules: 2054
% New rule produced :
% [3280]
% t(eta(A),quotient(quotient(A,j(j(j(j(A))))),A)) -> i(i(i(i(i(i(i(A)))))))
% Current number of equations to process: 449
% Current number of ordered equations: 0
% Current number of rules: 2055
% New rule produced :
% [3281] t(eta(A),difference(i(i(A)),quotient(A,j(j(j(j(A))))))) -> i(i(i(A)))
% Current number of equations to process: 448
% Current number of ordered equations: 0
% Current number of rules: 2056
% New rule produced :
% [3282]
% difference(j(A),t(eta(A),quotient(quotient(B,A),j(A)))) ->
% quotient(quotient(quotient(difference(j(A),B),j(A)),j(j(A))),eta(A))
% Current number of equations to process: 447
% Current number of ordered equations: 0
% Current number of rules: 2057
% New rule produced :
% [3283]
% quotient(quotient(t(j(j(j(A))),A),j(j(j(j(A))))),j(j(j(A)))) ->
% j(j(j(j(j(j(A))))))
% Current number of equations to process: 446
% Current number of ordered equations: 0
% Current number of rules: 2058
% New rule produced :
% [3284]
% t(eta(A),quotient(quotient(B,difference(eta(A),C)),j(j(j(j(A)))))) <->
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),A)
% Current number of equations to process: 445
% Current number of ordered equations: 1
% Current number of rules: 2059
% New rule produced :
% [3285]
% quotient(quotient(t(eta(A),B),quotient(C,eta(A))),A) <->
% t(eta(A),quotient(quotient(B,difference(eta(A),C)),j(j(j(j(A))))))
% Current number of equations to process: 445
% Current number of ordered equations: 0
% Current number of rules: 2060
% New rule produced :
% [3286]
% quotient(quotient(quotient(j(j(j(A))),A),j(A)),t(eta(A),quotient(A,j(
% j(
% j(j(A)))))))
% -> j(A)
% Current number of equations to process: 444
% Current number of ordered equations: 0
% Current number of rules: 2061
% New rule produced :
% [3287]
% t(eta(A),quotient(j(quotient(A,j(j(j(j(A)))))),eta(A))) ->
% quotient(j(quotient(A,j(j(j(j(A)))))),eta(A))
% Current number of equations to process: 443
% Current number of ordered equations: 0
% Current number of rules: 2062
% New rule produced :
% [3288]
% t(eta(A),quotient(i(quotient(A,j(j(j(j(A)))))),eta(A))) ->
% quotient(i(quotient(A,j(j(j(j(A)))))),eta(A))
% Current number of equations to process: 442
% Current number of ordered equations: 0
% Current number of rules: 2063
% New rule produced :
% [3289]
% t(eta(A),quotient(j(A),quotient(A,j(j(j(j(A))))))) ->
% t(eta(A),t(quotient(A,j(j(j(j(A))))),j(j(j(j(j(A)))))))
% Current number of equations to process: 441
% Current number of ordered equations: 0
% Current number of rules: 2064
% New rule produced :
% [3290]
% difference(i(i(i(i(i(i(i(A))))))),t(eta(A),quotient(A,j(j(j(j(A))))))) ->
% i(i(i(i(A))))
% Current number of equations to process: 440
% Current number of ordered equations: 0
% Current number of rules: 2065
% New rule produced :
% [3291]
% quotient(t(eta(A),quotient(quotient(B,quotient(eta(A),B)),j(quotient(
% eta(A),B)))),
% j(quotient(eta(A),B))) -> eta(A)
% Current number of equations to process: 439
% Current number of ordered equations: 0
% Current number of rules: 2066
% New rule produced :
% [3292]
% quotient(difference(eta(A),quotient(quotient(B,quotient(eta(A),B)),j(
% quotient(
% eta(A),B)))),
% eta(A)) -> difference(eta(A),j(quotient(eta(A),B)))
% Current number of equations to process: 438
% Current number of ordered equations: 0
% Current number of rules: 2067
% New rule produced :
% [3293]
% quotient(quotient(quotient(difference(j(A),quotient(A,j(j(j(j(A)))))),j(A)),
% j(j(A))),eta(A)) -> j(j(j(j(A))))
% Current number of equations to process: 437
% Current number of ordered equations: 0
% Current number of rules: 2068
% New rule produced :
% [3294]
% difference(j(A),difference(j(A),difference(j(j(A)),t(eta(A),quotient(A,
% j(j(j(j(A)))))))))
% -> j(j(j(j(A))))
% Current number of equations to process: 436
% Current number of ordered equations: 0
% Current number of rules: 2069
% Rule [2982]
% t(difference(A,j(j(j(j(A))))),t(eta(A),B)) ->
% t(eta(A),t(t(eta(A),quotient(A,j(j(j(j(A)))))),B)) is composed into
% [2982]
% t(difference(A,j(j(j(j(A))))),t(eta(A),B)) ->
% t(eta(A),t(quotient(A,j(j(j(j(A))))),B))
% New rule produced :
% [3295]
% t(eta(A),t(t(eta(A),quotient(A,j(j(j(j(A)))))),B)) ->
% t(eta(A),t(quotient(A,j(j(j(j(A))))),B))
% Current number of equations to process: 434
% Current number of ordered equations: 1
% Current number of rules: 2070
% Rule [2849]
% t(t(eta(A),B),difference(A,j(j(j(j(A)))))) ->
% t(eta(A),t(B,t(eta(A),quotient(A,j(j(j(j(A)))))))) is composed into
% [2849]
% t(t(eta(A),B),difference(A,j(j(j(j(A)))))) ->
% t(eta(A),t(B,quotient(A,j(j(j(j(A)))))))
% New rule produced :
% [3296]
% t(eta(A),t(B,t(eta(A),quotient(A,j(j(j(j(A)))))))) ->
% t(eta(A),t(B,quotient(A,j(j(j(j(A)))))))
% Current number of equations to process: 434
% Current number of ordered equations: 0
% Current number of rules: 2071
% New rule produced :
% [3297]
% t(eta(A),t(eta(A),difference(quotient(A,j(j(j(j(A))))),difference(eta(A),
% difference(eta(A),
% difference(j(eta(A)),
% quotient(B,j(eta(A)))))))))
% -> t(eta(A),difference(quotient(A,j(j(j(j(A))))),B))
% Current number of equations to process: 433
% Current number of ordered equations: 0
% Current number of rules: 2072
% Rule [2371]
% quotient(difference(A,j(j(j(j(A))))),t(eta(A),B)) ->
% t(eta(A),quotient(t(eta(A),quotient(A,j(j(j(j(A)))))),B)) is composed into
% [2371]
% quotient(difference(A,j(j(j(j(A))))),t(eta(A),B)) ->
% t(eta(A),quotient(quotient(A,j(j(j(j(A))))),B))
% New rule produced :
% [3298]
% t(eta(A),quotient(t(eta(A),quotient(A,j(j(j(j(A)))))),B)) ->
% t(eta(A),quotient(quotient(A,j(j(j(j(A))))),B))
% Current number of equations to process: 431
% Current number of ordered equations: 1
% Current number of rules: 2073
% Rule [2370]
% quotient(t(eta(A),B),difference(A,j(j(j(j(A)))))) ->
% t(eta(A),quotient(B,t(eta(A),quotient(A,j(j(j(j(A)))))))) is composed into
% [2370]
% quotient(t(eta(A),B),difference(A,j(j(j(j(A)))))) ->
% t(eta(A),quotient(B,quotient(A,j(j(j(j(A)))))))
% New rule produced :
% [3299]
% t(eta(A),quotient(B,t(eta(A),quotient(A,j(j(j(j(A)))))))) ->
% t(eta(A),quotient(B,quotient(A,j(j(j(j(A)))))))
% Current number of equations to process: 431
% Current number of ordered equations: 0
% Current number of rules: 2074
% New rule produced :
% [3300]
% t(eta(A),t(eta(A),t(quotient(A,j(j(j(j(A))))),eta(A)))) ->
% t(eta(A),t(quotient(A,j(j(j(j(A))))),eta(A)))
% Current number of equations to process: 430
% Current number of ordered equations: 0
% Current number of rules: 2075
% New rule produced :
% [3301]
% quotient(difference(i(A),quotient(j(quotient(A,B)),j(A))),quotient(quotient(B,
% quotient(A,B)),
% j(quotient(A,B))))
% -> i(i(A))
% Current number of equations to process: 428
% Current number of ordered equations: 0
% Current number of rules: 2076
% New rule produced :
% [3302]
% t(eta(A),difference(t(quotient(A,j(j(j(j(A))))),j(j(j(j(j(A)))))),j(A))) ->
% t(eta(A),quotient(A,j(j(j(j(A))))))
% Current number of equations to process: 427
% Current number of ordered equations: 0
% Current number of rules: 2077
% New rule produced :
% [3303]
% t(eta(A),quotient(quotient(A,j(j(j(j(A))))),i(i(A)))) ->
% i(i(i(i(i(i(i(i(i(A)))))))))
% Current number of equations to process: 426
% Current number of ordered equations: 0
% Current number of rules: 2078
% New rule produced :
% [3304]
% t(eta(A),quotient(difference(quotient(A,j(j(j(j(A))))),j(eta(A))),j(eta(A))))
% -> i(t(eta(A),quotient(A,j(j(j(j(A)))))))
% Current number of equations to process: 425
% Current number of ordered equations: 0
% Current number of rules: 2079
% New rule produced :
% [3305]
% t(eta(A),difference(j(eta(A)),quotient(i(quotient(A,j(j(j(j(A)))))),eta(A))))
% -> i(t(eta(A),quotient(A,j(j(j(j(A)))))))
% Current number of equations to process: 424
% Current number of ordered equations: 0
% Current number of rules: 2080
% New rule produced :
% [3306]
% t(eta(A),quotient(quotient(i(quotient(A,j(j(j(j(A)))))),eta(A)),j(eta(A))))
% -> i(t(eta(A),quotient(A,j(j(j(j(A)))))))
% Current number of equations to process: 423
% Current number of ordered equations: 0
% Current number of rules: 2081
% New rule produced :
% [3307]
% t(eta(A),t(eta(A),t(quotient(A,j(j(j(j(A))))),j(j(j(j(A))))))) ->
% t(eta(A),t(quotient(A,j(j(j(j(A))))),A))
% Current number of equations to process: 421
% Current number of ordered equations: 0
% Current number of rules: 2082
% New rule produced :
% [3308]
% t(eta(A),quotient(B,i(t(eta(A),quotient(A,j(j(j(j(A))))))))) ->
% t(eta(A),quotient(B,i(quotient(A,j(j(j(j(A))))))))
% Current number of equations to process: 419
% Current number of ordered equations: 0
% Current number of rules: 2083
% New rule produced :
% [3309]
% t(eta(A),quotient(i(t(eta(A),quotient(A,j(j(j(j(A))))))),B)) ->
% t(eta(A),quotient(i(quotient(A,j(j(j(j(A)))))),B))
% Current number of equations to process: 418
% Current number of ordered equations: 0
% Current number of rules: 2084
% New rule produced :
% [3310]
% t(eta(A),difference(i(t(eta(A),quotient(A,j(j(j(j(A))))))),B)) ->
% t(eta(A),difference(i(quotient(A,j(j(j(j(A)))))),B))
% Current number of equations to process: 417
% Current number of ordered equations: 0
% Current number of rules: 2085
% New rule produced :
% [3311]
% t(eta(A),t(eta(A),quotient(quotient(A,j(j(j(j(A))))),j(eta(A))))) ->
% t(eta(A),quotient(quotient(A,j(j(j(j(A))))),j(eta(A))))
% Current number of equations to process: 416
% Current number of ordered equations: 0
% Current number of rules: 2086
% New rule produced :
% [3312]
% t(eta(A),t(eta(A),quotient(j(eta(A)),quotient(A,j(j(j(j(A)))))))) ->
% t(eta(A),quotient(j(eta(A)),quotient(A,j(j(j(j(A)))))))
% Current number of equations to process: 415
% Current number of ordered equations: 0
% Current number of rules: 2087
% New rule produced :
% [3313]
% t(eta(A),t(eta(A),difference(j(eta(A)),quotient(A,j(j(j(j(A)))))))) ->
% t(eta(A),difference(j(eta(A)),quotient(A,j(j(j(j(A)))))))
% Current number of equations to process: 414
% Current number of ordered equations: 0
% Current number of rules: 2088
% New rule produced :
% [3314]
% t(eta(A),t(eta(A),quotient(eta(A),j(quotient(A,j(j(j(j(A))))))))) ->
% t(eta(A),quotient(eta(A),j(quotient(A,j(j(j(j(A))))))))
% Current number of equations to process: 413
% Current number of ordered equations: 0
% Current number of rules: 2089
% New rule produced :
% [3315]
% t(eta(A),t(eta(A),quotient(eta(A),i(quotient(A,j(j(j(j(A))))))))) ->
% t(eta(A),quotient(eta(A),i(quotient(A,j(j(j(j(A))))))))
% Current number of equations to process: 412
% Current number of ordered equations: 0
% Current number of rules: 2090
% New rule produced :
% [3316]
% t(eta(A),difference(j(j(A)),t(eta(A),quotient(A,j(j(j(j(A)))))))) ->
% t(eta(A),difference(j(j(A)),quotient(A,j(j(j(j(A)))))))
% Current number of equations to process: 409
% Current number of ordered equations: 0
% Current number of rules: 2091
% New rule produced :
% [3317]
% t(eta(A),difference(j(B),t(eta(A),quotient(A,j(j(j(j(A)))))))) ->
% t(eta(A),difference(j(B),quotient(A,j(j(j(j(A)))))))
% Rule
% [3316]
% t(eta(A),difference(j(j(A)),t(eta(A),quotient(A,j(j(j(j(A)))))))) ->
% t(eta(A),difference(j(j(A)),quotient(A,j(j(j(j(A))))))) collapsed.
% Current number of equations to process: 406
% Current number of ordered equations: 1
% Current number of rules: 2091
% New rule produced :
% [3318]
% t(eta(A),difference(j(t(eta(A),quotient(A,j(j(j(j(A))))))),B)) ->
% t(eta(A),difference(j(quotient(A,j(j(j(j(A)))))),B))
% Current number of equations to process: 406
% Current number of ordered equations: 0
% Current number of rules: 2092
% New rule produced :
% [3319]
% t(eta(A),quotient(B,j(t(eta(A),quotient(A,j(j(j(j(A))))))))) ->
% t(eta(A),quotient(B,j(quotient(A,j(j(j(j(A))))))))
% Current number of equations to process: 404
% Current number of ordered equations: 0
% Current number of rules: 2093
% New rule produced :
% [3320]
% t(eta(A),quotient(j(t(eta(A),quotient(A,j(j(j(j(A))))))),B)) ->
% t(eta(A),quotient(j(quotient(A,j(j(j(j(A)))))),B))
% Current number of equations to process: 402
% Current number of ordered equations: 0
% Current number of rules: 2094
% New rule produced :
% [3321]
% t(eta(A),difference(i(B),t(eta(A),quotient(A,j(j(j(j(A)))))))) ->
% t(eta(A),difference(i(B),quotient(A,j(j(j(j(A)))))))
% Current number of equations to process: 400
% Current number of ordered equations: 0
% Current number of rules: 2095
% New rule produced :
% [3322]
% t(eta(A),t(B,i(t(eta(A),quotient(A,j(j(j(j(A))))))))) ->
% t(eta(A),t(B,i(quotient(A,j(j(j(j(A))))))))
% Current number of equations to process: 397
% Current number of ordered equations: 0
% Current number of rules: 2096
% New rule produced :
% [3323]
% t(eta(A),t(i(t(eta(A),quotient(A,j(j(j(j(A))))))),B)) ->
% t(eta(A),t(i(quotient(A,j(j(j(j(A)))))),B))
% Current number of equations to process: 396
% Current number of ordered equations: 0
% Current number of rules: 2097
% New rule produced :
% [3324]
% t(eta(A),t(B,j(t(eta(A),quotient(A,j(j(j(j(A))))))))) ->
% t(eta(A),t(B,j(quotient(A,j(j(j(j(A))))))))
% Current number of equations to process: 394
% Current number of ordered equations: 0
% Current number of rules: 2098
% New rule produced :
% [3325]
% t(eta(A),t(j(t(eta(A),quotient(A,j(j(j(j(A))))))),B)) ->
% t(eta(A),t(j(quotient(A,j(j(j(j(A)))))),B))
% Current number of equations to process: 392
% Current number of ordered equations: 0
% Current number of rules: 2099
% New rule produced :
% [3326]
% difference(t(j(A),t(eta(A),quotient(A,j(j(j(j(A))))))),quotient(quotient(
% j(j(j(A))),A),
% j(A))) -> j(A)
% Current number of equations to process: 389
% Current number of ordered equations: 0
% Current number of rules: 2100
% New rule produced :
% [3327]
% difference(i(i(i(i(i(i(i(i(i(A))))))))),t(eta(A),quotient(A,j(j(j(j(A)))))))
% -> i(i(i(i(i(i(A))))))
% Current number of equations to process: 388
% Current number of ordered equations: 0
% Current number of rules: 2101
% New rule produced :
% [3328]
% quotient(quotient(quotient(quotient(B,quotient(j(j(A)),B)),j(quotient(
% j(j(A)),B))),A),
% j(A)) -> quotient(j(quotient(j(j(A)),B)),j(j(j(A))))
% Current number of equations to process: 387
% Current number of ordered equations: 0
% Current number of rules: 2102
% New rule produced :
% [3329]
% quotient(quotient(quotient(i(A),t(i(A),j(A))),j(t(i(A),j(A)))),difference(A,
% j(j(j(A)))))
% -> j(t(i(A),j(A)))
% Current number of equations to process: 386
% Current number of ordered equations: 0
% Current number of rules: 2103
% New rule produced :
% [3330]
% t(eta(A),t(B,difference(eta(A),quotient(quotient(C,quotient(eta(A),C)),
% j(quotient(eta(A),C)))))) <->
% t(t(eta(A),B),j(quotient(eta(A),C)))
% Current number of equations to process: 385
% Current number of ordered equations: 1
% Current number of rules: 2104
% New rule produced :
% [3331]
% t(t(eta(A),B),j(quotient(eta(A),C))) <->
% t(eta(A),t(B,difference(eta(A),quotient(quotient(C,quotient(eta(A),C)),
% j(quotient(eta(A),C))))))
% Current number of equations to process: 385
% Current number of ordered equations: 0
% Current number of rules: 2105
% New rule produced :
% [3332]
% quotient(quotient(t(A,i(t(j(A),quotient(A,j(A))))),i(i(i(A)))),t(eta(A),
% quotient(A,
% j(j(j(j(A)))))))
% -> i(i(i(i(i(A)))))
% Current number of equations to process: 384
% Current number of ordered equations: 0
% Current number of rules: 2106
% New rule produced :
% [3333]
% t(eta(A),t(eta(A),quotient(j(quotient(A,j(j(j(j(A)))))),j(eta(A))))) ->
% t(eta(A),quotient(j(quotient(A,j(j(j(j(A)))))),j(eta(A))))
% Current number of equations to process: 382
% Current number of ordered equations: 0
% Current number of rules: 2107
% New rule produced :
% [3334]
% t(eta(A),t(eta(A),quotient(j(eta(A)),j(quotient(A,j(j(j(j(A))))))))) ->
% t(eta(A),quotient(j(eta(A)),j(quotient(A,j(j(j(j(A))))))))
% Current number of equations to process: 381
% Current number of ordered equations: 0
% Current number of rules: 2108
% New rule produced :
% [3335]
% t(eta(A),t(eta(A),difference(j(quotient(A,j(j(j(j(A)))))),j(eta(A))))) ->
% t(eta(A),difference(j(quotient(A,j(j(j(j(A)))))),j(eta(A))))
% Current number of equations to process: 380
% Current number of ordered equations: 0
% Current number of rules: 2109
% New rule produced :
% [3336]
% t(eta(A),t(eta(A),difference(i(quotient(A,j(j(j(j(A)))))),j(eta(A))))) ->
% t(eta(A),difference(i(quotient(A,j(j(j(j(A)))))),j(eta(A))))
% Current number of equations to process: 379
% Current number of ordered equations: 0
% Current number of rules: 2110
% New rule produced :
% [3337]
% t(eta(A),t(eta(A),difference(j(eta(A)),j(quotient(A,j(j(j(j(A))))))))) ->
% t(eta(A),difference(j(eta(A)),j(quotient(A,j(j(j(j(A))))))))
% Current number of equations to process: 378
% Current number of ordered equations: 0
% Current number of rules: 2111
% New rule produced :
% [3338]
% quotient(quotient(quotient(j(A),t(eta(A),quotient(A,j(j(j(j(A))))))),
% j(t(eta(A),quotient(A,j(j(j(j(A)))))))),i(i(i(A)))) ->
% j(t(eta(A),quotient(A,j(j(j(j(A)))))))
% Current number of equations to process: 377
% Current number of ordered equations: 0
% Current number of rules: 2112
% New rule produced :
% [3339]
% difference(quotient(j(quotient(j(A),B)),j(j(A))),quotient(quotient(quotient(B,
% quotient(
% j(A),B)),
% j(quotient(j(A),B))),
% i(A))) -> A
% Current number of equations to process: 376
% Current number of ordered equations: 0
% Current number of rules: 2113
% New rule produced :
% [3340]
% quotient(quotient(quotient(A,j(quotient(A,B))),j(j(quotient(A,B)))),quotient(
% quotient(B,
% quotient(A,B)),
% j(
% quotient(A,B))))
% -> j(j(quotient(A,B)))
% Current number of equations to process: 375
% Current number of ordered equations: 0
% Current number of rules: 2114
% New rule produced :
% [3341]
% quotient(difference(j(j(j(j(A)))),quotient(A,j(j(j(j(A)))))),t(eta(A),
% quotient(A,
% j(j(j(j(A)))))))
% -> j(j(j(A)))
% Current number of equations to process: 374
% Current number of ordered equations: 0
% Current number of rules: 2115
% New rule produced :
% [3342]
% quotient(t(eta(A),quotient(A,j(j(j(j(A)))))),i(i(i(i(i(i(i(i(i(A)))))))))) ->
% i(i(i(i(i(i(i(i(i(i(i(i(A))))))))))))
% Current number of equations to process: 373
% Current number of ordered equations: 0
% Current number of rules: 2116
% New rule produced :
% [3343]
% quotient(quotient(t(j(j(j(j(A)))),i(t(j(j(j(j(j(A))))),quotient(A,j(A))))),
% j(j(j(A)))),eta(A)) -> j(j(j(A)))
% Current number of equations to process: 372
% Current number of ordered equations: 0
% Current number of rules: 2117
% New rule produced :
% [3344]
% quotient(quotient(quotient(j(j(j(A))),quotient(quotient(B,A),j(A))),j(
% quotient(
% quotient(B,A),
% j(A)))),
% quotient(B,j(j(A)))) -> j(quotient(quotient(B,A),j(A)))
% Current number of equations to process: 371
% Current number of ordered equations: 0
% Current number of rules: 2118
% New rule produced :
% [3345]
% t(eta(quotient(A,eta(B))),quotient(t(eta(B),C),j(j(j(j(quotient(A,eta(B))))))))
% <->
% t(eta(quotient(A,eta(B))),t(eta(B),quotient(C,j(j(j(j(difference(eta(B),A))))))))
% Current number of equations to process: 370
% Current number of ordered equations: 1
% Current number of rules: 2119
% New rule produced :
% [3346]
% t(eta(quotient(A,eta(B))),t(eta(B),quotient(C,j(j(j(j(difference(eta(B),A))))))))
% <->
% t(eta(quotient(A,eta(B))),quotient(t(eta(B),C),j(j(j(j(quotient(A,eta(B))))))))
% Current number of equations to process: 370
% Current number of ordered equations: 0
% Current number of rules: 2120
% New rule produced :
% [3347]
% difference(i(i(i(i(i(i(i(i(i(i(i(i(A)))))))))))),t(eta(A),quotient(A,
% j(j(j(j(A))))))) ->
% i(i(i(i(i(i(i(i(i(A)))))))))
% Current number of equations to process: 369
% Current number of ordered equations: 0
% Current number of rules: 2121
% New rule produced :
% [3348]
% t(eta(A),quotient(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% j(j(j(j(A)))))) <->
% quotient(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A)))),A)
% Current number of equations to process: 368
% Current number of ordered equations: 1
% Current number of rules: 2122
% New rule produced :
% [3349]
% quotient(difference(A,quotient(quotient(difference(j(A),j(j(B))),j(A)),
% j(j(A)))),A) <->
% t(eta(A),quotient(quotient(quotient(difference(j(B),eta(A)),j(B)),j(j(B))),
% j(j(j(j(A))))))
% Current number of equations to process: 368
% Current number of ordered equations: 0
% Current number of rules: 2123
% New rule produced :
% [3350]
% quotient(quotient(t(i(i(A)),i(t(eta(A),t(j(j(j(A))),quotient(A,j(A)))))),
% i(i(i(i(i(A)))))),eta(A)) -> i(i(i(i(i(A)))))
% Current number of equations to process: 367
% Current number of ordered equations: 0
% Current number of rules: 2124
% New rule produced :
% [3351]
% quotient(quotient(quotient(A,j(t(j(j(j(A))),quotient(A,j(A))))),j(j(t(
% j(
% j(j(A))),
% quotient(A,
% j(A)))))),
% i(A)) -> t(j(j(j(A))),quotient(A,j(A)))
% Current number of equations to process: 366
% Current number of ordered equations: 0
% Current number of rules: 2125
% New rule produced :
% [3352]
% difference(j(j(A)),difference(j(j(j(A))),quotient(i(t(eta(A),quotient(A,
% j(j(j(j(A))))))),
% j(j(j(A)))))) ->
% difference(j(j(j(A))),t(eta(A),quotient(A,j(j(j(j(A)))))))
% Current number of equations to process: 365
% Current number of ordered equations: 0
% Current number of rules: 2126
% New rule produced :
% [3353]
% t(eta(A),quotient(j(A),t(quotient(A,j(j(j(j(A))))),j(j(j(j(j(A)))))))) ->
% t(eta(A),t(t(quotient(A,j(j(j(j(A))))),j(j(j(j(j(A)))))),quotient(A,j(
% j(
% j(j(A)))))))
% Current number of equations to process: 364
% Current number of ordered equations: 0
% Current number of rules: 2127
% New rule produced :
% [3354]
% t(eta(A),difference(t(t(quotient(A,j(j(j(j(A))))),j(j(j(j(j(A)))))),quotient(A,
% j(
% j(
% j(j(A)))))),
% j(A))) -> t(eta(A),t(quotient(A,j(j(j(j(A))))),j(j(j(j(j(A)))))))
% Current number of equations to process: 363
% Current number of ordered equations: 0
% Current number of rules: 2128
% New rule produced :
% [3355]
% t(eta(A),difference(B,t(eta(A),quotient(A,j(j(j(j(A)))))))) ->
% t(eta(A),difference(B,quotient(A,j(j(j(j(A)))))))
% Rule
% [3317]
% t(eta(A),difference(j(B),t(eta(A),quotient(A,j(j(j(j(A)))))))) ->
% t(eta(A),difference(j(B),quotient(A,j(j(j(j(A))))))) collapsed.
% Rule
% [3321]
% t(eta(A),difference(i(B),t(eta(A),quotient(A,j(j(j(j(A)))))))) ->
% t(eta(A),difference(i(B),quotient(A,j(j(j(j(A))))))) collapsed.
% Current number of equations to process: 362
% Current number of ordered equations: 0
% Current number of rules: 2127
% New rule produced :
% [3356]
% quotient(quotient(t(i(i(i(A))),i(t(i(i(A)),i(t(eta(A),t(j(j(j(A))),quotient(A,
% j(A)))))))),
% i(i(i(i(i(i(A))))))),eta(A)) -> i(i(i(i(i(i(A))))))
% Current number of equations to process: 361
% Current number of ordered equations: 0
% Current number of rules: 2128
% New rule produced :
% [3357]
% quotient(quotient(quotient(t(j(A),quotient(A,j(A))),j(A)),j(j(A))),A) ->
% j(j(A))
% Current number of equations to process: 366
% Current number of ordered equations: 0
% Current number of rules: 2129
% New rule produced :
% [3358]
% t(eta(A),quotient(t(B,difference(eta(A),C)),j(j(j(j(A)))))) <->
% quotient(t(t(eta(A),B),quotient(C,eta(A))),A)
% Current number of equations to process: 365
% Current number of ordered equations: 1
% Current number of rules: 2130
% New rule produced :
% [3359]
% quotient(t(t(eta(A),B),quotient(C,eta(A))),A) <->
% t(eta(A),quotient(t(B,difference(eta(A),C)),j(j(j(j(A))))))
% Current number of equations to process: 365
% Current number of ordered equations: 0
% Current number of rules: 2131
% New rule produced :
% [3360]
% quotient(quotient(quotient(difference(i(A),B),j(A)),j(j(A))),t(t(A,B),A)) ->
% t(t(t(A,B),A),t(A,B))
% Current number of equations to process: 364
% Current number of ordered equations: 0
% Current number of rules: 2132
% New rule produced :
% [3361]
% difference(t(t(t(A,B),A),t(A,B)),quotient(quotient(difference(i(A),B),j(A)),
% j(j(A)))) -> t(t(A,B),A)
% Current number of equations to process: 363
% Current number of ordered equations: 0
% Current number of rules: 2133
% New rule produced :
% [3362]
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(difference(
% i(A),B),j(A)),
% j(j(A)))),j(A)))) ->
% difference(j(A),quotient(t(A,B),j(A)))
% Current number of equations to process: 362
% Current number of ordered equations: 0
% Current number of rules: 2134
% New rule produced :
% [3363]
% quotient(quotient(quotient(A,t(eta(A),quotient(B,j(j(j(j(A))))))),j(t(
% eta(A),
% quotient(B,
% j(
% j(
% j(j(A)))))))),
% t(eta(A),B)) -> j(t(eta(A),quotient(B,j(j(j(j(A)))))))
% Current number of equations to process: 361
% Current number of ordered equations: 0
% Current number of rules: 2135
% New rule produced :
% [3364] difference(i(i(i(i(A)))),i(A)) -> t(eta(A),difference(A,j(j(j(A)))))
% Rule
% [2543]
% quotient(difference(i(i(i(i(i(A))))),i(i(A))),i(i(i(i(A))))) ->
% i(i(i(i(i(i(A)))))) collapsed.
% Current number of equations to process: 369
% Current number of ordered equations: 0
% Current number of rules: 2135
% New rule produced :
% [3365] difference(i(i(i(i(A)))),A) -> t(eta(A),difference(A,j(j(j(j(A))))))
% Current number of equations to process: 368
% Current number of ordered equations: 0
% Current number of rules: 2136
% New rule produced :
% [3366]
% difference(i(i(i(i(A)))),j(A)) -> t(eta(A),difference(A,j(j(j(j(j(A)))))))
% Current number of equations to process: 369
% Current number of ordered equations: 0
% Current number of rules: 2137
% New rule produced :
% [3367]
% difference(i(i(i(i(i(A))))),quotient(B,eta(A))) ->
% t(eta(A),difference(i(A),difference(eta(A),B)))
% Current number of equations to process: 368
% Current number of ordered equations: 0
% Current number of rules: 2138
% Rule [3187]
% difference(i(i(A)),difference(i(A),quotient(B,j(A)))) <->
% quotient(quotient(difference(i(B),A),j(B)),j(j(B))) is composed into
% [3187]
% difference(i(i(A)),difference(i(A),quotient(B,j(A)))) <->
% difference(B,difference(j(B),quotient(t(B,A),j(B))))
% Rule [2971]
% t(t(eta(A),B),C) <->
% t(eta(A),t(B,difference(eta(A),quotient(quotient(difference(i(C),eta(A)),
% j(C)),j(j(C)))))) is composed into
% [2971]
% t(t(eta(A),B),C) <->
% t(eta(A),t(B,difference(eta(A),difference(C,difference(j(C),quotient(
% t(C,eta(A)),
% j(C)))))))
% Rule [2739]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),
% quotient(C,
% j(eta(A))))))))
% <->
% t(eta(A),difference(B,difference(eta(A),quotient(quotient(difference(
% i(C),eta(A)),
% j(C)),j(j(C)))))) is composed into
% [2739]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(C,
% j(
% eta(A))))))))
% <->
% t(eta(A),difference(B,difference(eta(A),difference(C,difference(j(C),
% quotient(t(C,eta(A)),
% j(C)))))))
% Rule [2737]
% quotient(t(eta(A),B),C) <->
% t(eta(A),quotient(B,difference(eta(A),quotient(quotient(difference(
% i(C),eta(A)),
% j(C)),j(j(C)))))) is composed into
% [2737]
% quotient(t(eta(A),B),C) <->
% t(eta(A),quotient(B,difference(eta(A),difference(C,difference(j(C),quotient(
% t(C,
% eta(A)),
% j(C)))))))
% Rule [2733]
% quotient(difference(A,quotient(B,j(j(A)))),i(A)) <->
% t(i(A),quotient(quotient(difference(i(B),j(A)),j(B)),j(j(B)))) is composed into
% [2733]
% quotient(difference(A,quotient(B,j(j(A)))),i(A)) <->
% t(i(A),difference(B,difference(j(B),quotient(t(B,j(A)),j(B)))))
% Rule [2726]
% difference(i(A),difference(A,quotient(B,j(j(A))))) <->
% quotient(quotient(difference(i(B),j(A)),j(B)),j(j(B))) is composed into
% [2726]
% difference(i(A),difference(A,quotient(B,j(j(A))))) <->
% difference(B,difference(j(B),quotient(t(B,j(A)),j(B))))
% New rule produced :
% [3368]
% quotient(quotient(difference(i(A),B),j(A)),j(j(A))) ->
% difference(A,difference(j(A),quotient(t(A,B),j(A))))
% Rule
% [370] difference(A,quotient(quotient(difference(i(A),B),j(A)),j(j(A)))) -> B
% collapsed.
% Rule
% [607] quotient(quotient(quotient(difference(i(A),B),j(A)),j(j(A))),B) -> A
% collapsed.
% Rule
% [646]
% quotient(quotient(quotient(difference(i(A),B),j(A)),j(j(A))),A) -> t(A,B)
% collapsed.
% Rule
% [888]
% t(j(B),quotient(quotient(difference(i(B),A),j(B)),j(j(B)))) ->
% quotient(quotient(quotient(A,B),j(B)),j(B)) collapsed.
% Rule
% [906]
% quotient(quotient(quotient(A,B),j(B)),quotient(quotient(difference(i(B),A),
% j(B)),j(j(B)))) -> j(B)
% collapsed.
% Rule
% [979]
% quotient(difference(j(A),quotient(B,j(A))),quotient(quotient(difference(
% i(B),A),
% j(B)),j(j(B)))) -> A
% collapsed.
% Rule
% [1294]
% difference(quotient(C,eta(A)),t(eta(A),quotient(quotient(difference(i(
% difference(
% eta(A),C)),B),
% j(difference(eta(A),C))),
% j(j(difference(eta(A),C)))))) ->
% t(eta(A),B) collapsed.
% Rule
% [2722]
% difference(t(A,B),quotient(quotient(difference(i(A),B),j(A)),j(j(A)))) -> A
% collapsed.
% Rule
% [2727]
% quotient(quotient(difference(i(B),j(A)),j(B)),j(j(B))) <->
% difference(i(A),difference(A,quotient(B,j(j(A))))) collapsed.
% Rule
% [2728]
% quotient(quotient(quotient(difference(i(A),B),j(A)),j(j(A))),t(A,B)) ->
% t(t(A,B),A) collapsed.
% Rule
% [2731]
% difference(t(t(A,B),A),quotient(quotient(difference(i(A),B),j(A)),j(j(A))))
% -> t(A,B) collapsed.
% Rule
% [2732]
% t(i(A),quotient(quotient(difference(i(B),j(A)),j(B)),j(j(B)))) <->
% quotient(difference(A,quotient(B,j(j(A)))),i(A)) collapsed.
% Rule
% [2734]
% quotient(quotient(quotient(quotient(difference(i(A),i(B)),j(A)),j(j(A))),
% j(B)),j(j(B))) -> quotient(A,B) collapsed.
% Rule
% [2735]
% quotient(difference(A,quotient(B,j(j(A)))),quotient(quotient(difference(
% i(B),j(A)),
% j(B)),j(j(B)))) ->
% i(A) collapsed.
% Rule
% [2736]
% t(eta(A),quotient(B,difference(eta(A),quotient(quotient(difference(i(C),
% eta(A)),j(C)),
% j(j(C)))))) <-> quotient(t(eta(A),B),C)
% collapsed.
% Rule
% [2738]
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(difference(
% i(B),A),j(B)),
% j(j(B)))),j(A)))) ->
% difference(j(A),quotient(B,j(A))) collapsed.
% Rule
% [2740]
% t(eta(A),difference(B,difference(eta(A),quotient(quotient(difference(
% i(C),eta(A)),
% j(C)),j(j(C)))))) <->
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(C,
% j(
% eta(A))))))))
% collapsed.
% Rule
% [2745]
% quotient(t(eta(A),quotient(quotient(difference(i(B),eta(A)),j(B)),j(j(B)))),B)
% -> eta(A) collapsed.
% Rule
% [2747]
% quotient(difference(eta(A),quotient(quotient(difference(i(B),eta(A)),j(B)),
% j(j(B)))),eta(A)) -> difference(eta(A),B)
% collapsed.
% Rule
% [2748]
% quotient(difference(i(A),quotient(B,j(A))),quotient(quotient(difference(
% i(B),A),
% j(B)),j(j(B)))) ->
% i(i(A)) collapsed.
% Rule
% [2750]
% quotient(quotient(quotient(quotient(difference(i(A),j(j(B))),j(A)),j(j(A))),B),
% j(B)) -> quotient(A,j(j(j(B)))) collapsed.
% Rule
% [2760]
% difference(quotient(A,j(j(B))),quotient(quotient(quotient(difference(
% i(A),j(B)),
% j(A)),j(j(A))),i(B))) -> B
% collapsed.
% Rule
% [2970]
% t(eta(A),t(B,difference(eta(A),quotient(quotient(difference(i(C),eta(A)),
% j(C)),j(j(C)))))) <->
% t(t(eta(A),B),C) collapsed.
% Rule
% [3188]
% quotient(quotient(difference(i(B),A),j(B)),j(j(B))) <->
% difference(i(i(A)),difference(i(A),quotient(B,j(A)))) collapsed.
% Rule
% [3360]
% quotient(quotient(quotient(difference(i(A),B),j(A)),j(j(A))),t(t(A,B),A)) ->
% t(t(t(A,B),A),t(A,B)) collapsed.
% Rule
% [3361]
% difference(t(t(t(A,B),A),t(A,B)),quotient(quotient(difference(i(A),B),j(A)),
% j(j(A)))) -> t(t(A,B),A) collapsed.
% Rule
% [3362]
% difference(A,difference(j(A),quotient(t(A,quotient(quotient(difference(
% i(A),B),j(A)),
% j(j(A)))),j(A)))) ->
% difference(j(A),quotient(t(A,B),j(A))) collapsed.
% Current number of equations to process: 368
% Current number of ordered equations: 0
% Current number of rules: 2112
% New rule produced :
% [3369]
% t(eta(A),difference(A,j(A))) -> j(t(eta(A),t(j(j(j(A))),quotient(A,j(A)))))
% Current number of equations to process: 367
% Current number of ordered equations: 0
% Current number of rules: 2113
% New rule produced :
% [3370]
% t(eta(A),difference(A,difference(eta(A),quotient(quotient(difference(B,
% eta(A)),B),
% j(B))))) <->
% difference(i(i(i(i(A)))),j(B))
% Current number of equations to process: 366
% Current number of ordered equations: 1
% Current number of rules: 2114
% New rule produced :
% [3371]
% difference(i(i(i(i(A)))),j(B)) <->
% t(eta(A),difference(A,difference(eta(A),quotient(quotient(difference(B,
% eta(A)),B),
% j(B)))))
% Rule [592] difference(i(i(i(i(A)))),j(eta(A))) -> t(eta(A),i(i(i(A))))
% collapsed.
% Rule
% [2539] difference(i(i(i(i(i(A))))),j(eta(A))) -> i(i(i(i(i(i(i(i(A))))))))
% collapsed.
% Rule
% [2541]
% quotient(difference(i(i(i(i(i(i(A)))))),j(eta(A))),j(eta(A))) ->
% i(i(i(i(i(i(i(A))))))) collapsed.
% Rule
% [3366]
% difference(i(i(i(i(A)))),j(A)) -> t(eta(A),difference(A,j(j(j(j(j(A)))))))
% collapsed.
% Current number of equations to process: 367
% Current number of ordered equations: 0
% Current number of rules: 2111
% New rule produced :
% [3372]
% t(eta(A),difference(A,difference(eta(A),difference(B,quotient(quotient(
% eta(A),
% j(B)),j(j(B)))))))
% <-> difference(i(i(i(i(A)))),i(B))
% Current number of equations to process: 365
% Current number of ordered equations: 1
% Current number of rules: 2112
% New rule produced :
% [3373]
% difference(i(i(i(i(A)))),i(B)) <->
% t(eta(A),difference(A,difference(eta(A),difference(B,quotient(quotient(
% eta(A),
% j(B)),j(j(B)))))))
% Rule
% [3364] difference(i(i(i(i(A)))),i(A)) -> t(eta(A),difference(A,j(j(j(A)))))
% collapsed.
% Current number of equations to process: 365
% Current number of ordered equations: 0
% Current number of rules: 2112
% New rule produced :
% [3374]
% t(eta(A),difference(A,difference(eta(A),difference(B,difference(j(B),
% quotient(t(B,eta(A)),
% j(B))))))) <->
% difference(i(i(i(i(A)))),B)
% Current number of equations to process: 364
% Current number of ordered equations: 1
% Current number of rules: 2113
% New rule produced :
% [3375]
% difference(i(i(i(i(A)))),B) <->
% t(eta(A),difference(A,difference(eta(A),difference(B,difference(j(B),
% quotient(t(B,eta(A)),
% j(B)))))))
% Rule
% [3365] difference(i(i(i(i(A)))),A) -> t(eta(A),difference(A,j(j(j(j(A))))))
% collapsed.
% Current number of equations to process: 364
% Current number of ordered equations: 0
% Current number of rules: 2113
% New rule produced :
% [3376]
% quotient(i(i(i(i(i(i(i(i(i(A))))))))),j(eta(A))) -> i(i(i(i(i(i(i(A)))))))
% Current number of equations to process: 361
% Current number of ordered equations: 0
% Current number of rules: 2114
% New rule produced :
% [3377]
% quotient(difference(j(eta(A)),difference(eta(A),B)),eta(A)) ->
% difference(eta(A),difference(j(eta(A)),quotient(B,eta(A))))
% Current number of equations to process: 380
% Current number of ordered equations: 0
% Current number of rules: 2115
% New rule produced :
% [3378]
% t(eta(A),t(difference(j(eta(A)),difference(eta(A),B)),C)) ->
% t(difference(j(eta(A)),quotient(B,eta(A))),t(eta(A),C))
% Current number of equations to process: 378
% Current number of ordered equations: 2
% Current number of rules: 2116
% New rule produced :
% [3379]
% t(eta(A),t(B,difference(j(eta(A)),difference(eta(A),C)))) <->
% t(t(eta(A),B),difference(j(eta(A)),quotient(C,eta(A))))
% Current number of equations to process: 378
% Current number of ordered equations: 1
% Current number of rules: 2117
% New rule produced :
% [3380]
% t(t(eta(A),B),difference(j(eta(A)),quotient(C,eta(A)))) <->
% t(eta(A),t(B,difference(j(eta(A)),difference(eta(A),C))))
% Current number of equations to process: 378
% Current number of ordered equations: 0
% Current number of rules: 2118
% New rule produced :
% [3381]
% t(eta(A),difference(difference(j(eta(A)),difference(eta(A),B)),C)) ->
% difference(difference(j(eta(A)),quotient(B,eta(A))),t(eta(A),C))
% Current number of equations to process: 377
% Current number of ordered equations: 0
% Current number of rules: 2119
% New rule produced :
% [3382]
% t(eta(A),quotient(difference(j(eta(A)),difference(eta(A),B)),C)) ->
% quotient(difference(j(eta(A)),quotient(B,eta(A))),t(eta(A),C))
% Current number of equations to process: 375
% Current number of ordered equations: 2
% Current number of rules: 2120
% New rule produced :
% [3383]
% t(eta(A),quotient(B,difference(j(eta(A)),difference(eta(A),C)))) <->
% quotient(t(eta(A),B),difference(j(eta(A)),quotient(C,eta(A))))
% Current number of equations to process: 375
% Current number of ordered equations: 1
% Current number of rules: 2121
% New rule produced :
% [3384]
% quotient(t(eta(A),B),difference(j(eta(A)),quotient(C,eta(A)))) <->
% t(eta(A),quotient(B,difference(j(eta(A)),difference(eta(A),C))))
% Current number of equations to process: 375
% Current number of ordered equations: 0
% Current number of rules: 2122
% New rule produced :
% [3385]
% t(eta(A),difference(j(eta(A)),difference(j(eta(A)),difference(eta(A),B)))) ->
% difference(j(eta(A)),difference(j(eta(A)),quotient(B,eta(A))))
% Current number of equations to process: 370
% Current number of ordered equations: 0
% Current number of rules: 2123
% New rule produced :
% [3386]
% t(i(i(A)),i(t(eta(A),t(j(j(j(A))),quotient(A,j(A)))))) ->
% t(A,i(t(j(A),quotient(A,j(A)))))
% Rule
% [3350]
% quotient(quotient(t(i(i(A)),i(t(eta(A),t(j(j(j(A))),quotient(A,j(A)))))),
% i(i(i(i(i(A)))))),eta(A)) -> i(i(i(i(i(A))))) collapsed.
% Rule
% [3356]
% quotient(quotient(t(i(i(i(A))),i(t(i(i(A)),i(t(eta(A),t(j(j(j(A))),quotient(A,
% j(A)))))))),
% i(i(i(i(i(i(A))))))),eta(A)) -> i(i(i(i(i(i(A)))))) collapsed.
% Current number of equations to process: 370
% Current number of ordered equations: 0
% Current number of rules: 2122
% New rule produced :
% [3387]
% t(eta(A),difference(A,difference(eta(A),difference(i(B),quotient(quotient(
% eta(A),B),
% j(B)))))) <->
% difference(i(i(i(i(A)))),i(i(B)))
% Current number of equations to process: 369
% Current number of ordered equations: 1
% Current number of rules: 2123
% New rule produced :
% [3388]
% difference(i(i(i(i(A)))),i(i(B))) <->
% t(eta(A),difference(A,difference(eta(A),difference(i(B),quotient(quotient(
% eta(A),B),
% j(B))))))
% Current number of equations to process: 369
% Current number of ordered equations: 0
% Current number of rules: 2124
% New rule produced :
% [3389]
% quotient(quotient(t(A,i(t(j(A),quotient(A,j(A))))),i(i(i(i(i(A)))))),eta(A))
% -> i(i(i(i(i(A)))))
% Current number of equations to process: 366
% Current number of ordered equations: 0
% Current number of rules: 2125
% New rule produced :
% [3390]
% difference(i(i(i(i(A)))),j(quotient(eta(A),B))) ->
% t(eta(A),difference(A,difference(eta(A),quotient(quotient(B,quotient(
% eta(A),B)),
% j(quotient(eta(A),B))))))
% Current number of equations to process: 365
% Current number of ordered equations: 0
% Current number of rules: 2126
% Rule [1315]
% t(eta(A),difference(j(eta(A)),quotient(quotient(difference(j(B),eta(A)),
% j(B)),j(j(B))))) <->
% difference(j(eta(A)),difference(A,quotient(quotient(difference(j(A),
% j(j(B))),j(A)),
% j(j(A))))) is composed into [1315]
% t(
% eta(A),
% difference(
% j(
% eta(A)),
% quotient(
% quotient(
% difference(
% j(B),
% eta(A)),
% j(B)),
% j(
% j(B)))))
% ->
% t(
% eta(A),
% quotient(
% quotient(
% difference(x2,
% difference(
% j(x2),
% quotient(
% difference(
% j(
% eta(A)),
% j(
% j(B))),
% j(x2)))),x2),
% j(
% eta(A))))
% New rule produced :
% [3391]
% difference(j(eta(A)),difference(A,quotient(quotient(difference(j(A),B),j(A)),
% j(j(A))))) ->
% t(eta(A),quotient(quotient(difference(x2,difference(j(x2),quotient(difference(
% j(
% eta(A)),B),
% j(x2)))),x2),
% j(eta(A))))
% Current number of equations to process: 364
% Current number of ordered equations: 0
% Current number of rules: 2127
% New rule produced :
% [3392]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% difference(
% j(
% eta(A)),
% quotient(C,
% eta(A))),
% j(
% eta(A))))))))
% -> t(eta(A),difference(B,difference(j(eta(A)),difference(eta(A),C))))
% Current number of equations to process: 363
% Current number of ordered equations: 0
% Current number of rules: 2128
% New rule produced :
% [3393]
% t(eta(A),difference(j(eta(A)),quotient(quotient(difference(A,difference(B,
% difference(
% j(B),quotient(
% t(B,
% eta(A)),
% j(B))))),A),
% i(A)))) ->
% difference(j(eta(A)),quotient(difference(A,quotient(quotient(B,j(A)),j(j(A)))),
% eta(A)))
% Current number of equations to process: 362
% Current number of ordered equations: 0
% Current number of rules: 2129
% New rule produced :
% [3394]
% quotient(quotient(t(j(j(j(j(j(A))))),i(t(j(j(j(j(j(j(A)))))),i(t(j(j(
% j(
% j(j(A))))),
% quotient(A,
% j(A))))))),
% j(j(j(j(A))))),eta(A)) -> j(j(j(j(A))))
% Current number of equations to process: 361
% Current number of ordered equations: 0
% Current number of rules: 2130
% New rule produced :
% [3395]
% difference(eta(t(eta(A),B)),t(eta(A),difference(B,quotient(quotient(j(eta(A)),
% j(B)),j(j(B))))))
% ->
% t(eta(A),quotient(quotient(difference(B,difference(eta(A),difference(
% eta(A),difference(
% j(eta(A)),
% t(j(eta(A)),
% eta(
% t(eta(A),B))))))),B),
% i(B)))
% Current number of equations to process: 359
% Current number of ordered equations: 0
% Current number of rules: 2131
% New rule produced :
% [3396]
% difference(t(j(quotient(quotient(A,j(B)),j(j(B)))),quotient(A,i(B))),
% quotient(quotient(B,quotient(quotient(A,j(B)),j(j(B)))),j(quotient(quotient(A,
% j(B)),
% j(j(B)))))) ->
% j(quotient(quotient(A,j(B)),j(j(B))))
% Current number of equations to process: 358
% Current number of ordered equations: 0
% Current number of rules: 2132
% New rule produced :
% [3397] 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: 410
% Current number of ordered equations: 0
% Current number of rules: 2133
% New rule produced :
% [3398]
% quotient(j(difference(j(eta(A)),difference(eta(A),B))),eta(A)) ->
% difference(eta(A),j(difference(j(eta(A)),quotient(B,eta(A)))))
% Current number of equations to process: 409
% Current number of ordered equations: 0
% Current number of rules: 2134
% New rule produced :
% [3399]
% quotient(i(difference(j(eta(A)),difference(eta(A),B))),eta(A)) ->
% difference(eta(A),i(difference(j(eta(A)),quotient(B,eta(A)))))
% Current number of equations to process: 408
% Current number of ordered equations: 0
% Current number of rules: 2135
% New rule produced :
% [3400]
% difference(eta(A),quotient(j(t(eta(A),B)),quotient(C,eta(A)))) ->
% quotient(quotient(j(B),difference(eta(A),C)),eta(A))
% Current number of equations to process: 407
% Current number of ordered equations: 0
% Current number of rules: 2136
% New rule produced :
% [3401]
% t(eta(A),quotient(eta(A),quotient(j(B),difference(eta(A),C)))) <->
% quotient(eta(A),quotient(j(t(eta(A),B)),quotient(C,eta(A))))
% Current number of equations to process: 406
% Current number of ordered equations: 1
% Current number of rules: 2137
% New rule produced :
% [3402]
% quotient(eta(A),quotient(j(t(eta(A),B)),quotient(C,eta(A)))) <->
% t(eta(A),quotient(eta(A),quotient(j(B),difference(eta(A),C))))
% Current number of equations to process: 406
% Current number of ordered equations: 0
% Current number of rules: 2138
% New rule produced :
% [3403]
% t(eta(A),quotient(quotient(j(B),difference(eta(A),C)),eta(A))) <->
% quotient(quotient(j(t(eta(A),B)),quotient(C,eta(A))),eta(A))
% Current number of equations to process: 405
% Current number of ordered equations: 1
% Current number of rules: 2139
% New rule produced :
% [3404]
% quotient(quotient(j(t(eta(A),B)),quotient(C,eta(A))),eta(A)) <->
% t(eta(A),quotient(quotient(j(B),difference(eta(A),C)),eta(A)))
% Current number of equations to process: 405
% Current number of ordered equations: 0
% Current number of rules: 2140
% New rule produced :
% [3405]
% difference(i(i(i(A))),difference(j(eta(A)),quotient(B,eta(A)))) ->
% t(eta(A),difference(j(A),difference(j(eta(A)),difference(eta(A),B))))
% Current number of equations to process: 404
% Current number of ordered equations: 0
% Current number of rules: 2141
% New rule produced :
% [3406]
% difference(i(i(i(i(A)))),difference(j(eta(A)),quotient(B,eta(A)))) ->
% t(eta(A),difference(A,difference(j(eta(A)),difference(eta(A),B))))
% Current number of equations to process: 403
% Current number of ordered equations: 0
% Current number of rules: 2142
% New rule produced :
% [3407]
% t(eta(A),quotient(eta(A),j(difference(j(eta(A)),difference(eta(A),B))))) ->
% quotient(eta(A),j(difference(j(eta(A)),quotient(B,eta(A)))))
% Current number of equations to process: 402
% Current number of ordered equations: 0
% Current number of rules: 2143
% New rule produced :
% [3408]
% t(eta(A),quotient(eta(A),i(difference(j(eta(A)),difference(eta(A),B))))) ->
% quotient(eta(A),i(difference(j(eta(A)),quotient(B,eta(A)))))
% Current number of equations to process: 401
% Current number of ordered equations: 0
% Current number of rules: 2144
% New rule produced :
% [3409]
% difference(i(i(A)),difference(j(eta(A)),quotient(B,eta(A)))) ->
% t(eta(A),difference(j(j(A)),difference(j(eta(A)),difference(eta(A),B))))
% Current number of equations to process: 398
% Current number of ordered equations: 0
% Current number of rules: 2145
% New rule produced :
% [3410]
% t(eta(A),difference(j(difference(j(eta(A)),difference(eta(A),B))),C)) ->
% difference(j(difference(j(eta(A)),quotient(B,eta(A)))),t(eta(A),C))
% Current number of equations to process: 396
% Current number of ordered equations: 1
% Current number of rules: 2146
% New rule produced :
% [3411]
% difference(j(t(eta(A),B)),difference(j(eta(A)),quotient(C,eta(A)))) ->
% t(eta(A),difference(j(B),difference(j(eta(A)),difference(eta(A),C))))
% Current number of equations to process: 396
% Current number of ordered equations: 0
% Current number of rules: 2147
% New rule produced :
% [3412]
% t(eta(A),quotient(B,j(difference(j(eta(A)),difference(eta(A),C))))) <->
% quotient(t(eta(A),B),j(difference(j(eta(A)),quotient(C,eta(A)))))
% Rule
% [3407]
% t(eta(A),quotient(eta(A),j(difference(j(eta(A)),difference(eta(A),B))))) ->
% quotient(eta(A),j(difference(j(eta(A)),quotient(B,eta(A))))) collapsed.
% Current number of equations to process: 395
% Current number of ordered equations: 1
% Current number of rules: 2147
% New rule produced :
% [3413]
% quotient(t(eta(A),B),j(difference(j(eta(A)),quotient(C,eta(A))))) <->
% t(eta(A),quotient(B,j(difference(j(eta(A)),difference(eta(A),C)))))
% Current number of equations to process: 395
% Current number of ordered equations: 0
% Current number of rules: 2148
% New rule produced :
% [3414]
% t(eta(A),quotient(j(difference(j(eta(A)),difference(eta(A),B))),C)) ->
% quotient(j(difference(j(eta(A)),quotient(B,eta(A)))),t(eta(A),C))
% Current number of equations to process: 393
% Current number of ordered equations: 2
% Current number of rules: 2149
% New rule produced :
% [3415]
% t(eta(A),quotient(j(B),difference(j(eta(A)),difference(eta(A),C)))) <->
% quotient(j(t(eta(A),B)),difference(j(eta(A)),quotient(C,eta(A))))
% Current number of equations to process: 393
% Current number of ordered equations: 1
% Current number of rules: 2150
% New rule produced :
% [3416]
% quotient(j(t(eta(A),B)),difference(j(eta(A)),quotient(C,eta(A)))) <->
% t(eta(A),quotient(j(B),difference(j(eta(A)),difference(eta(A),C))))
% Current number of equations to process: 393
% Current number of ordered equations: 0
% Current number of rules: 2151
% New rule produced :
% [3417]
% t(eta(A),difference(i(difference(j(eta(A)),difference(eta(A),B))),C)) ->
% difference(i(difference(j(eta(A)),quotient(B,eta(A)))),t(eta(A),C))
% Current number of equations to process: 391
% Current number of ordered equations: 1
% Current number of rules: 2152
% New rule produced :
% [3418]
% difference(i(t(eta(A),B)),difference(j(eta(A)),quotient(C,eta(A)))) ->
% t(eta(A),difference(i(B),difference(j(eta(A)),difference(eta(A),C))))
% Current number of equations to process: 391
% Current number of ordered equations: 0
% Current number of rules: 2153
% New rule produced :
% [3419]
% t(eta(A),quotient(B,i(difference(j(eta(A)),difference(eta(A),C))))) <->
% quotient(t(eta(A),B),i(difference(j(eta(A)),quotient(C,eta(A)))))
% Rule
% [3408]
% t(eta(A),quotient(eta(A),i(difference(j(eta(A)),difference(eta(A),B))))) ->
% quotient(eta(A),i(difference(j(eta(A)),quotient(B,eta(A))))) collapsed.
% Current number of equations to process: 390
% Current number of ordered equations: 1
% Current number of rules: 2153
% New rule produced :
% [3420]
% quotient(t(eta(A),B),i(difference(j(eta(A)),quotient(C,eta(A))))) <->
% t(eta(A),quotient(B,i(difference(j(eta(A)),difference(eta(A),C)))))
% Current number of equations to process: 390
% Current number of ordered equations: 0
% Current number of rules: 2154
% New rule produced :
% [3421]
% t(eta(A),quotient(i(difference(j(eta(A)),difference(eta(A),B))),C)) ->
% quotient(i(difference(j(eta(A)),quotient(B,eta(A)))),t(eta(A),C))
% Current number of equations to process: 388
% Current number of ordered equations: 2
% Current number of rules: 2155
% New rule produced :
% [3422]
% t(eta(A),quotient(i(B),difference(j(eta(A)),difference(eta(A),C)))) <->
% quotient(i(t(eta(A),B)),difference(j(eta(A)),quotient(C,eta(A))))
% Current number of equations to process: 388
% Current number of ordered equations: 1
% Current number of rules: 2156
% New rule produced :
% [3423]
% quotient(i(t(eta(A),B)),difference(j(eta(A)),quotient(C,eta(A)))) <->
% t(eta(A),quotient(i(B),difference(j(eta(A)),difference(eta(A),C))))
% Current number of equations to process: 388
% Current number of ordered equations: 0
% Current number of rules: 2157
% New rule produced :
% [3424]
% t(eta(A),t(B,j(difference(j(eta(A)),difference(eta(A),C))))) <->
% t(t(eta(A),B),j(difference(j(eta(A)),quotient(C,eta(A)))))
% Current number of equations to process: 387
% Current number of ordered equations: 1
% Current number of rules: 2158
% New rule produced :
% [3425]
% t(t(eta(A),B),j(difference(j(eta(A)),quotient(C,eta(A))))) <->
% t(eta(A),t(B,j(difference(j(eta(A)),difference(eta(A),C)))))
% Current number of equations to process: 387
% Current number of ordered equations: 0
% Current number of rules: 2159
% New rule produced :
% [3426]
% t(eta(A),t(j(difference(j(eta(A)),difference(eta(A),B))),C)) ->
% t(j(difference(j(eta(A)),quotient(B,eta(A)))),t(eta(A),C))
% Current number of equations to process: 385
% Current number of ordered equations: 2
% Current number of rules: 2160
% New rule produced :
% [3427]
% t(eta(A),t(j(B),difference(j(eta(A)),difference(eta(A),C)))) <->
% t(j(t(eta(A),B)),difference(j(eta(A)),quotient(C,eta(A))))
% Current number of equations to process: 385
% Current number of ordered equations: 1
% Current number of rules: 2161
% New rule produced :
% [3428]
% t(j(t(eta(A),B)),difference(j(eta(A)),quotient(C,eta(A)))) <->
% t(eta(A),t(j(B),difference(j(eta(A)),difference(eta(A),C))))
% Current number of equations to process: 385
% Current number of ordered equations: 0
% Current number of rules: 2162
% New rule produced :
% [3429]
% t(eta(A),t(B,i(difference(j(eta(A)),difference(eta(A),C))))) <->
% t(t(eta(A),B),i(difference(j(eta(A)),quotient(C,eta(A)))))
% Current number of equations to process: 384
% Current number of ordered equations: 1
% Current number of rules: 2163
% New rule produced :
% [3430]
% t(t(eta(A),B),i(difference(j(eta(A)),quotient(C,eta(A))))) <->
% t(eta(A),t(B,i(difference(j(eta(A)),difference(eta(A),C)))))
% Current number of equations to process: 384
% Current number of ordered equations: 0
% Current number of rules: 2164
% New rule produced :
% [3431]
% t(eta(A),t(i(difference(j(eta(A)),difference(eta(A),B))),C)) ->
% t(i(difference(j(eta(A)),quotient(B,eta(A)))),t(eta(A),C))
% Current number of equations to process: 382
% Current number of ordered equations: 2
% Current number of rules: 2165
% New rule produced :
% [3432]
% t(eta(A),t(i(B),difference(j(eta(A)),difference(eta(A),C)))) <->
% t(i(t(eta(A),B)),difference(j(eta(A)),quotient(C,eta(A))))
% Current number of equations to process: 382
% Current number of ordered equations: 1
% Current number of rules: 2166
% New rule produced :
% [3433]
% t(i(t(eta(A),B)),difference(j(eta(A)),quotient(C,eta(A)))) <->
% t(eta(A),t(i(B),difference(j(eta(A)),difference(eta(A),C))))
% Current number of equations to process: 382
% Current number of ordered equations: 0
% Current number of rules: 2167
% New rule produced :
% [3434]
% t(eta(A),t(quotient(j(B),difference(eta(A),C)),V_3)) <->
% t(quotient(j(t(eta(A),B)),quotient(C,eta(A))),t(eta(A),V_3))
% Current number of equations to process: 380
% Current number of ordered equations: 3
% Current number of rules: 2168
% New rule produced :
% [3435]
% t(eta(A),t(B,quotient(j(C),difference(eta(A),V_3)))) <->
% t(t(eta(A),B),quotient(j(t(eta(A),C)),quotient(V_3,eta(A))))
% Current number of equations to process: 380
% Current number of ordered equations: 2
% Current number of rules: 2169
% New rule produced :
% [3436]
% t(t(eta(A),B),quotient(j(t(eta(A),C)),quotient(V_3,eta(A)))) <->
% t(eta(A),t(B,quotient(j(C),difference(eta(A),V_3))))
% Current number of equations to process: 380
% Current number of ordered equations: 1
% Current number of rules: 2170
% New rule produced :
% [3437]
% t(quotient(j(t(eta(A),B)),quotient(C,eta(A))),t(eta(A),V_3)) <->
% t(eta(A),t(quotient(j(B),difference(eta(A),C)),V_3))
% Current number of equations to process: 380
% Current number of ordered equations: 0
% Current number of rules: 2171
% New rule produced :
% [3438]
% t(eta(A),difference(quotient(j(B),difference(eta(A),C)),V_3)) <->
% difference(quotient(j(t(eta(A),B)),quotient(C,eta(A))),t(eta(A),V_3))
% Current number of equations to process: 379
% Current number of ordered equations: 1
% Current number of rules: 2172
% New rule produced :
% [3439]
% difference(quotient(j(t(eta(A),B)),quotient(C,eta(A))),t(eta(A),V_3)) <->
% t(eta(A),difference(quotient(j(B),difference(eta(A),C)),V_3))
% Current number of equations to process: 379
% Current number of ordered equations: 0
% Current number of rules: 2173
% New rule produced :
% [3440]
% t(eta(A),quotient(quotient(j(B),difference(eta(A),C)),V_3)) <->
% quotient(quotient(j(t(eta(A),B)),quotient(C,eta(A))),t(eta(A),V_3))
% Current number of equations to process: 377
% Current number of ordered equations: 3
% Current number of rules: 2174
% New rule produced :
% [3441]
% t(eta(A),quotient(B,quotient(j(C),difference(eta(A),V_3)))) <->
% quotient(t(eta(A),B),quotient(j(t(eta(A),C)),quotient(V_3,eta(A))))
% Current number of equations to process: 377
% Current number of ordered equations: 2
% Current number of rules: 2175
% New rule produced :
% [3442]
% quotient(t(eta(A),B),quotient(j(t(eta(A),C)),quotient(V_3,eta(A)))) <->
% t(eta(A),quotient(B,quotient(j(C),difference(eta(A),V_3))))
% Current number of equations to process: 377
% Current number of ordered equations: 1
% Current number of rules: 2176
% New rule produced :
% [3443]
% quotient(quotient(j(t(eta(A),B)),quotient(C,eta(A))),t(eta(A),V_3)) <->
% t(eta(A),quotient(quotient(j(B),difference(eta(A),C)),V_3))
% Current number of equations to process: 377
% Current number of ordered equations: 0
% Current number of rules: 2177
% New rule produced :
% [3444]
% t(eta(A),quotient(quotient(j(B),difference(eta(A),C)),j(eta(A)))) <->
% quotient(quotient(j(t(eta(A),B)),quotient(C,eta(A))),j(eta(A)))
% Current number of equations to process: 376
% Current number of ordered equations: 1
% Current number of rules: 2178
% New rule produced :
% [3445]
% quotient(quotient(j(t(eta(A),B)),quotient(C,eta(A))),j(eta(A))) <->
% t(eta(A),quotient(quotient(j(B),difference(eta(A),C)),j(eta(A))))
% Current number of equations to process: 376
% Current number of ordered equations: 0
% Current number of rules: 2179
% New rule produced :
% [3446]
% t(eta(A),quotient(j(eta(A)),quotient(j(B),difference(eta(A),C)))) <->
% quotient(j(eta(A)),quotient(j(t(eta(A),B)),quotient(C,eta(A))))
% Current number of equations to process: 375
% Current number of ordered equations: 1
% Current number of rules: 2180
% New rule produced :
% [3447]
% quotient(j(eta(A)),quotient(j(t(eta(A),B)),quotient(C,eta(A)))) <->
% t(eta(A),quotient(j(eta(A)),quotient(j(B),difference(eta(A),C))))
% Current number of equations to process: 375
% Current number of ordered equations: 0
% Current number of rules: 2181
% New rule produced :
% [3448]
% t(eta(A),difference(j(eta(A)),quotient(j(B),difference(eta(A),C)))) <->
% difference(j(eta(A)),quotient(j(t(eta(A),B)),quotient(C,eta(A))))
% Current number of equations to process: 374
% Current number of ordered equations: 1
% Current number of rules: 2182
% New rule produced :
% [3449]
% difference(j(eta(A)),quotient(j(t(eta(A),B)),quotient(C,eta(A)))) <->
% t(eta(A),difference(j(eta(A)),quotient(j(B),difference(eta(A),C))))
% Current number of equations to process: 374
% Current number of ordered equations: 0
% Current number of rules: 2183
% New rule produced :
% [3450]
% t(eta(A),difference(j(eta(A)),quotient(quotient(difference(A,j(A)),A),i(A))))
% -> difference(j(eta(A)),quotient(difference(A,j(A)),eta(A)))
% Current number of equations to process: 373
% Current number of ordered equations: 0
% Current number of rules: 2184
% New rule produced :
% [3451]
% t(eta(A),difference(j(eta(A)),j(difference(j(eta(A)),difference(eta(A),B)))))
% -> difference(j(eta(A)),j(difference(j(eta(A)),quotient(B,eta(A)))))
% Current number of equations to process: 366
% Current number of ordered equations: 0
% Current number of rules: 2185
% New rule produced :
% [3452]
% t(eta(A),difference(j(eta(A)),i(difference(j(eta(A)),difference(eta(A),B)))))
% -> difference(j(eta(A)),i(difference(j(eta(A)),quotient(B,eta(A)))))
% Current number of equations to process: 365
% Current number of ordered equations: 0
% Current number of rules: 2186
% New rule produced :
% [3453]
% t(eta(A),difference(quotient(j(B),difference(eta(A),C)),difference(eta(A),V_3)))
% <->
% difference(quotient(j(t(eta(A),B)),quotient(C,eta(A))),quotient(V_3,eta(A)))
% Current number of equations to process: 364
% Current number of ordered equations: 1
% Current number of rules: 2187
% New rule produced :
% [3454]
% difference(quotient(j(t(eta(A),B)),quotient(C,eta(A))),quotient(V_3,eta(A)))
% <->
% t(eta(A),difference(quotient(j(B),difference(eta(A),C)),difference(eta(A),V_3)))
% Current number of equations to process: 364
% Current number of ordered equations: 0
% Current number of rules: 2188
% New rule produced :
% [3455]
% t(eta(A),quotient(quotient(j(B),difference(eta(A),C)),difference(eta(A),V_3)))
% <->
% quotient(quotient(j(t(eta(A),B)),quotient(C,eta(A))),quotient(V_3,eta(A)))
% Current number of equations to process: 363
% Current number of ordered equations: 1
% Current number of rules: 2189
% New rule produced :
% [3456]
% quotient(quotient(j(t(eta(A),B)),quotient(C,eta(A))),quotient(V_3,eta(A)))
% <->
% t(eta(A),quotient(quotient(j(B),difference(eta(A),C)),difference(eta(A),V_3)))
% Current number of equations to process: 363
% Current number of ordered equations: 0
% Current number of rules: 2190
% New rule produced :
% [3457]
% t(eta(A),quotient(j(B),difference(C,difference(j(C),quotient(t(C,eta(A)),
% j(C)))))) <->
% quotient(j(t(eta(A),B)),difference(A,quotient(quotient(difference(j(A),C),
% j(A)),j(j(A)))))
% Current number of equations to process: 362
% Current number of ordered equations: 1
% Current number of rules: 2191
% New rule produced :
% [3458]
% quotient(j(t(eta(A),B)),difference(A,quotient(quotient(difference(j(A),C),
% j(A)),j(j(A))))) <->
% t(eta(A),quotient(j(B),difference(C,difference(j(C),quotient(t(C,eta(A)),
% j(C))))))
% Current number of equations to process: 362
% Current number of ordered equations: 0
% Current number of rules: 2192
% New rule produced :
% [3459]
% t(eta(A),quotient(j(B),quotient(quotient(difference(A,difference(C,difference(
% j(C),
% quotient(
% t(C,
% eta(A)),
% j(C))))),A),
% i(A)))) <->
% quotient(j(t(eta(A),B)),quotient(difference(A,quotient(quotient(C,j(A)),
% j(j(A)))),eta(A)))
% Current number of equations to process: 361
% Current number of ordered equations: 1
% Current number of rules: 2193
% New rule produced :
% [3460]
% quotient(j(t(eta(A),B)),quotient(difference(A,quotient(quotient(C,j(A)),
% j(j(A)))),eta(A))) <->
% t(eta(A),quotient(j(B),quotient(quotient(difference(A,difference(C,difference(
% j(C),
% quotient(
% t(C,
% eta(A)),
% j(C))))),A),
% i(A))))
% Current number of equations to process: 361
% Current number of ordered equations: 0
% Current number of rules: 2194
% New rule produced :
% [3461]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% j(
% difference(
% j(
% eta(A)),
% quotient(C,
% eta(A)))),
% j(
% eta(A))))))))
% -> t(eta(A),difference(B,j(difference(j(eta(A)),difference(eta(A),C)))))
% Current number of equations to process: 360
% Current number of ordered equations: 0
% Current number of rules: 2195
% New rule produced :
% [3462]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% i(
% difference(
% j(
% eta(A)),
% quotient(C,
% eta(A)))),
% j(
% eta(A))))))))
% -> t(eta(A),difference(B,i(difference(j(eta(A)),difference(eta(A),C)))))
% Current number of equations to process: 359
% Current number of ordered equations: 0
% Current number of rules: 2196
% New rule produced :
% [3463]
% t(eta(A),difference(B,difference(eta(A),difference(eta(A),difference(
% j(eta(A)),quotient(
% quotient(
% j(
% t(
% eta(A),C)),
% quotient(V_3,
% eta(A))),
% j(
% eta(A))))))))
% -> t(eta(A),difference(B,quotient(j(C),difference(eta(A),V_3))))
% Current number of equations to process: 358
% Current number of ordered equations: 0
% Current number of rules: 2197
% New rule produced :
% [3464]
% quotient(j(t(eta(A),B)),i(i(i(i(i(A)))))) -> t(eta(A),quotient(j(B),i(A)))
% Current number of equations to process: 427
% Current number of ordered equations: 0
% Current number of rules: 2198
% New rule produced :
% [3465]
% 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: 426
% Current number of ordered equations: 0
% Current number of rules: 2199
% New rule produced :
% [3466]
% quotient(j(j(t(eta(A),B))),quotient(C,eta(A))) <->
% t(eta(A),quotient(j(j(B)),difference(eta(A),C)))
% Current number of equations to process: 425
% Current number of ordered equations: 1
% Current number of rules: 2200
% New rule produced :
% [3467]
% t(eta(A),quotient(j(j(B)),difference(eta(A),C))) <->
% quotient(j(j(t(eta(A),B))),quotient(C,eta(A)))
% Current number of equations to process: 425
% Current number of ordered equations: 0
% Current number of rules: 2201
% New rule produced :
% [3468]
% quotient(j(t(eta(A),B)),i(i(i(i(i(i(A))))))) ->
% t(eta(A),quotient(j(B),i(i(A))))
% Current number of equations to process: 424
% Current number of ordered equations: 0
% Current number of rules: 2202
% New rule produced :
% [3469]
% t(eta(A),quotient(j(B),quotient(difference(eta(A),C),eta(A)))) <->
% quotient(j(t(eta(A),B)),quotient(quotient(C,eta(A)),eta(A)))
% Current number of equations to process: 423
% Current number of ordered equations: 1
% Current number of rules: 2203
% New rule produced :
% [3470]
% quotient(j(t(eta(A),B)),quotient(quotient(C,eta(A)),eta(A))) <->
% t(eta(A),quotient(j(B),quotient(difference(eta(A),C),eta(A))))
% Current number of equations to process: 423
% Current number of ordered equations: 0
% Current number of rules: 2204
% New rule produced :
% [3471]
% difference(eta(A),j(quotient(j(t(eta(A),B)),quotient(C,eta(A))))) ->
% quotient(j(quotient(j(B),difference(eta(A),C))),eta(A))
% Current number of equations to process: 422
% Current number of ordered equations: 0
% Current number of rules: 2205
% New rule produced Cputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------