TSTP Solution File: GRP772-1 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : GRP772-1 : TPTP v6.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n035.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32286.75MB
% OS : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:25:04 EDT 2014
% Result : Timeout 300.09s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : GRP772-1 : TPTP v6.0.0. Released v4.1.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n035.star.cs.uiowa.edu
% % Model : x86_64 x86_64
% % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory : 32286.75MB
% % OS : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Sat Jun 7 01:41:13 CDT 2014
% % CPUTime : 300.09
% Processing problem /tmp/CiME_61790_n035.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " x1,x0,one : constant; c : 2; a : 3; t : 2; eta : 1; j : 1; i : 1; quotient : 2; difference : 2; product : 2;";
% let X = vars "A B C D E";
% let Axioms = equations F X "
% product(A,one) = A;
% product(one,A) = A;
% product(A,difference(A,B)) = B;
% difference(A,product(A,B)) = B;
% quotient(product(A,B),B) = A;
% product(quotient(A,B),B) = A;
% difference(A,product(product(A,B),C)) = quotient(product(B,product(C,A)),A);
% difference(product(A,B),product(A,product(B,C))) = quotient(quotient(product(C,product(A,B)),B),A);
% i(A) = difference(A,one);
% j(A) = quotient(one,A);
% product(i(A),A) = product(A,j(A));
% eta(A) = product(i(A),A);
% product(i(i(A)),B) = product(eta(A),product(A,B));
% product(A,product(eta(A),B)) = product(j(j(A)),B);
% product(A,product(B,eta(A))) = product(product(A,B),eta(A));
% product(eta(A),product(B,C)) = product(product(eta(A),B),C);
% quotient(j(A),A) = product(j(A),i(A));
% product(product(product(quotient(j(A),A),product(A,A)),B),C) = product(product(quotient(j(A),A),product(A,A)),product(B,C));
% t(A,B) = quotient(product(A,B),A);
% t(eta(A),product(B,C)) = product(t(eta(A),B),t(eta(A),C));
% product(i(product(A,B)),i(i(A))) = i(B);
% product(j(j(A)),j(product(B,A))) = j(B);
% product(product(A,product(B,C)),a(A,B,C)) = product(product(A,B),C);
% product(product(A,B),c(B,A)) = product(B,A);
% product(c(A,B),product(C,D)) = product(product(c(A,B),C),D);
% product(product(A,B),c(C,D)) = product(A,product(B,c(C,D)));
% product(a(A,B,C),product(D,E)) = product(product(a(A,B,C),D),E);
% product(product(A,B),a(C,D,E)) = product(A,product(B,a(C,D,E)));
% product(a(A,B,C),difference(C,product(a(C,A,B),C))) = one;
% a(A,i(B),C) = a(A,j(B),C);
% a(i(A),B,C) = a(j(A),B,C);
% a(j(A),B,C) = a(B,C,A);
% ";
%
% let s1 = status F "
% x1 lr_lex;
% x0 lr_lex;
% c lr_lex;
% a lr_lex;
% t lr_lex;
% eta lr_lex;
% j lr_lex;
% i lr_lex;
% quotient lr_lex;
% difference lr_lex;
% product lr_lex;
% one lr_lex;
% ";
%
% let p1 = precedence F "
% a > product > difference > quotient > t > c > i > j > eta > one > x0 > x1";
%
% let s2 = status F "
% x1 mul;
% x0 mul;
% c mul;
% a mul;
% t mul;
% eta mul;
% j mul;
% i mul;
% quotient mul;
% difference mul;
% product mul;
% one mul;
% ";
%
% let p2 = precedence F "
% a > product > difference > quotient > t > c > i > j > eta > one = x0 = x1";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " a(x0,x1,x1) = a(x1,x1,x0);"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
%
% let Red_Conjectures = normalize_equations Defining_rules Conjectures;
% *)
% #time on;
%
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
%
% #time off;
%
%
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
%
% F : signature = <signature>
% X : variable_set = <variable set>
%
% Axioms : (F,X) equations = { product(A,one) = A,
% product(one,A) = A,
% product(A,difference(A,B)) = B,
% difference(A,product(A,B)) = B,
% quotient(product(A,B),B) = A,
% product(quotient(A,B),B) = A,
% difference(A,product(product(A,B),C)) =
% quotient(product(B,product(C,A)),A),
% difference(product(A,B),product(A,product(B,C)))
% =
% quotient(quotient(product(C,product(A,B)),B),A),
% i(A) = difference(A,one),
% j(A) = quotient(one,A),
% product(i(A),A) = product(A,j(A)),
% eta(A) = product(i(A),A),
% product(i(i(A)),B) =
% product(eta(A),product(A,B)),
% product(A,product(eta(A),B)) =
% product(j(j(A)),B),
% product(A,product(B,eta(A))) =
% product(product(A,B),eta(A)),
% product(eta(A),product(B,C)) =
% product(product(eta(A),B),C),
% quotient(j(A),A) = product(j(A),i(A)),
% product(product(product(quotient(j(A),A),
% product(A,A)),B),C) =
% product(product(quotient(j(A),A),product(A,A)),
% product(B,C)),
% t(A,B) = quotient(product(A,B),A),
% t(eta(A),product(B,C)) =
% product(t(eta(A),B),t(eta(A),C)),
% product(i(product(A,B)),i(i(A))) = i(B),
% product(j(j(A)),j(product(B,A))) = j(B),
% product(product(A,product(B,C)),a(A,B,C)) =
% product(product(A,B),C),
% product(product(A,B),c(B,A)) = product(B,A),
% product(c(A,B),product(C,D)) =
% product(product(c(A,B),C),D),
% product(product(A,B),c(C,D)) =
% product(A,product(B,c(C,D))),
% product(a(A,B,C),product(D,E)) =
% product(product(a(A,B,C),D),E),
% product(product(A,B),a(C,D,E)) =
% product(A,product(B,a(C,D,E))),
% product(a(A,B,C),difference(C,product(a(C,A,B),C)))
% = one,
% a(A,i(B),C) = a(A,j(B),C),
% a(i(A),B,C) = a(j(A),B,C),
% a(j(A),B,C) = a(B,C,A) } (32 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 = { a(x0,x1,x1) = a(x1,x1,x0) } (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: 34
% 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: 33
% 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: 32
% 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: 31
% 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: 29
% 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: 29
% 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: 28
% 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: 27
% 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: 26
% 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: 25
% 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: 24
% Current number of rules: 11
% New rule produced : [12] a(j(A),B,C) <-> a(B,C,A)
% Current number of equations to process: 2
% Current number of ordered equations: 45
% Current number of rules: 12
% New rule produced : [13] product(j(A),i(A)) -> quotient(j(A),A)
% Current number of equations to process: 2
% Current number of ordered equations: 44
% Current number of rules: 13
% New rule produced : [14] a(B,C,A) <-> a(j(A),B,C)
% Current number of equations to process: 2
% Current number of ordered equations: 43
% Current number of rules: 14
% New rule produced : [15] a(i(A),B,C) -> a(j(A),B,C)
% Current number of equations to process: 2
% Current number of ordered equations: 42
% Current number of rules: 15
% New rule produced : [16] a(A,i(B),C) -> a(A,j(B),C)
% Current number of equations to process: 2
% Current number of ordered equations: 41
% Current number of rules: 16
% New rule produced : [17] product(product(A,B),c(B,A)) -> product(B,A)
% Current number of equations to process: 2
% Current number of ordered equations: 40
% Current number of rules: 17
% New rule produced : [18] product(i(i(A)),B) -> product(eta(A),product(A,B))
% Current number of equations to process: 2
% Current number of ordered equations: 39
% Current number of rules: 18
% New rule produced : [19] product(j(j(A)),B) -> product(A,product(eta(A),B))
% Current number of equations to process: 3
% Current number of ordered equations: 37
% Current number of rules: 19
% New rule produced : [20] product(A,product(eta(A),j(product(B,A)))) -> j(B)
% Current number of equations to process: 2
% Current number of ordered equations: 37
% Current number of rules: 20
% New rule produced :
% [21] product(product(A,B),eta(A)) -> product(A,product(B,eta(A)))
% Current number of equations to process: 2
% Current number of ordered equations: 36
% Current number of rules: 21
% New rule produced :
% [22] product(product(eta(A),B),C) -> product(eta(A),product(B,C))
% Current number of equations to process: 2
% Current number of ordered equations: 35
% Current number of rules: 22
% New rule produced : [23] product(i(product(A,B)),i(i(A))) -> i(B)
% Current number of equations to process: 2
% Current number of ordered equations: 34
% Current number of rules: 23
% New rule produced :
% [24]
% quotient(product(B,product(C,A)),A) <-> difference(A,product(product(A,B),C))
% Current number of equations to process: 63
% Current number of ordered equations: 73
% Current number of rules: 24
% New rule produced :
% [25]
% difference(A,product(product(A,B),C)) <-> quotient(product(B,product(C,A)),A)
% Current number of equations to process: 63
% Current number of ordered equations: 72
% Current number of rules: 25
% New rule produced :
% [26] product(product(A,B),c(C,D)) -> product(A,product(B,c(C,D)))
% Rule [17] product(product(A,B),c(B,A)) -> product(B,A) collapsed.
% Current number of equations to process: 64
% Current number of ordered equations: 61
% Current number of rules: 25
% New rule produced : [27] product(A,product(B,c(B,A))) -> product(B,A)
% Current number of equations to process: 63
% Current number of ordered equations: 61
% Current number of rules: 26
% New rule produced :
% [28] product(product(c(A,B),C),D) -> product(c(A,B),product(C,D))
% Current number of equations to process: 63
% Current number of ordered equations: 60
% Current number of rules: 27
% New rule produced :
% [29] product(product(A,B),a(C,D,E)) -> product(A,product(B,a(C,D,E)))
% Current number of equations to process: 64
% Current number of ordered equations: 58
% Current number of rules: 28
% New rule produced :
% [30] product(t(eta(A),B),t(eta(A),C)) -> t(eta(A),product(B,C))
% Current number of equations to process: 63
% Current number of ordered equations: 58
% Current number of rules: 29
% New rule produced :
% [31] product(product(a(A,B,C),D),E) -> product(a(A,B,C),product(D,E))
% Current number of equations to process: 63
% Current number of ordered equations: 57
% Current number of rules: 30
% New rule produced :
% [32] product(A,product(B,product(C,a(A,B,C)))) -> product(product(A,B),C)
% Current number of equations to process: 63
% Current number of ordered equations: 56
% Current number of rules: 31
% New rule produced :
% [33]
% quotient(quotient(product(C,product(A,B)),B),A) <->
% difference(product(A,B),product(A,product(B,C)))
% Current number of equations to process: 152
% Current number of ordered equations: 134
% Current number of rules: 32
% New rule produced :
% [34]
% difference(product(A,B),product(A,product(B,C))) <->
% quotient(quotient(product(C,product(A,B)),B),A)
% Current number of equations to process: 152
% Current number of ordered equations: 133
% Current number of rules: 33
% New rule produced :
% [35] product(a(A,B,C),difference(C,product(a(C,A,B),C))) -> one
% Current number of equations to process: 152
% Current number of ordered equations: 132
% Current number of rules: 34
% New rule produced :
% [36]
% product(product(product(quotient(j(A),A),product(A,A)),B),C) ->
% product(product(quotient(j(A),A),product(A,A)),product(B,C))
% Current number of equations to process: 152
% Current number of ordered equations: 131
% Current number of rules: 35
% New rule produced : [37] i(one) -> eta(one)
% Current number of equations to process: 154
% Current number of ordered equations: 128
% Current number of rules: 36
% New rule produced : [38] j(one) -> eta(one)
% Current number of equations to process: 155
% Current number of ordered equations: 126
% Current number of rules: 37
% New rule produced : [39] quotient(A,one) -> A
% Current number of equations to process: 158
% Current number of ordered equations: 121
% Current number of rules: 38
% New rule produced : [40] quotient(A,A) -> one
% Current number of equations to process: 159
% Current number of ordered equations: 119
% Current number of rules: 39
% New rule produced : [41] difference(A,A) -> one
% Current number of equations to process: 159
% Current number of ordered equations: 118
% Current number of rules: 40
% New rule produced : [42] difference(one,A) -> A
% Current number of equations to process: 159
% Current number of ordered equations: 116
% Current number of rules: 41
% New rule produced : [43] t(A,A) -> A
% Current number of equations to process: 159
% Current number of ordered equations: 115
% Current number of rules: 42
% New rule produced : [44] product(A,i(A)) -> one
% Current number of equations to process: 160
% Current number of ordered equations: 113
% Current number of rules: 43
% New rule produced : [45] product(j(A),A) -> one
% Current number of equations to process: 160
% Current number of ordered equations: 112
% Current number of rules: 44
% New rule produced : [46] t(A,one) -> one
% Current number of equations to process: 159
% Current number of ordered equations: 112
% Current number of rules: 45
% New rule produced : [47] t(one,A) -> A
% Current number of equations to process: 158
% Current number of ordered equations: 112
% Current number of rules: 46
% New rule produced : [48] quotient(eta(A),A) -> i(A)
% Current number of equations to process: 159
% Current number of ordered equations: 110
% Current number of rules: 47
% New rule produced : [49] difference(A,eta(A)) -> j(A)
% Current number of equations to process: 159
% Current number of ordered equations: 109
% Current number of rules: 48
% New rule produced : [50] difference(i(A),eta(A)) -> A
% Current number of equations to process: 159
% Current number of ordered equations: 108
% Current number of rules: 49
% New rule produced : [51] quotient(A,difference(B,A)) -> B
% Current number of equations to process: 159
% Current number of ordered equations: 107
% Current number of rules: 50
% New rule produced : [52] difference(quotient(A,B),A) -> B
% Current number of equations to process: 159
% Current number of ordered equations: 106
% Current number of rules: 51
% New rule produced : [53] quotient(eta(A),j(A)) -> A
% Current number of equations to process: 159
% Current number of ordered equations: 105
% Current number of rules: 52
% New rule produced : [54] product(eta(A),A) -> i(i(A))
% Current number of equations to process: 160
% Current number of ordered equations: 103
% Current number of rules: 53
% New rule produced : [55] product(A,eta(A)) -> j(j(A))
% Current number of equations to process: 160
% Current number of ordered equations: 102
% Current number of rules: 54
% New rule produced : [56] product(A,c(one,A)) -> A
% Current number of equations to process: 160
% Current number of ordered equations: 101
% Current number of rules: 55
% New rule produced : [57] product(A,c(A,one)) -> A
% Current number of equations to process: 160
% Current number of ordered equations: 100
% Current number of rules: 56
% New rule produced : [58] t(A,j(A)) -> i(A)
% Current number of equations to process: 159
% Current number of ordered equations: 100
% Current number of rules: 57
% New rule produced : [59] product(eta(one),j(A)) -> j(A)
% Current number of equations to process: 159
% Current number of ordered equations: 99
% Current number of rules: 58
% New rule produced : [60] t(B,difference(B,A)) -> quotient(A,B)
% Current number of equations to process: 159
% Current number of ordered equations: 98
% Current number of rules: 59
% New rule produced : [61] product(t(A,B),A) -> product(A,B)
% Current number of equations to process: 159
% Current number of ordered equations: 97
% Current number of rules: 60
% New rule produced : [62] product(A,eta(eta(A))) -> j(i(A))
% Current number of equations to process: 159
% Current number of ordered equations: 96
% Current number of rules: 61
% New rule produced : [63] quotient(eta(A),i(A)) -> t(i(A),A)
% Current number of equations to process: 159
% Current number of ordered equations: 95
% Current number of rules: 62
% Rule [38] j(one) -> eta(one) is composed into [38] j(one) -> one
% Rule [37] i(one) -> eta(one) is composed into [37] i(one) -> one
% New rule produced : [64] eta(one) -> one
% Rule [59] product(eta(one),j(A)) -> j(A) collapsed.
% Current number of equations to process: 158
% Current number of ordered equations: 95
% Current number of rules: 62
% New rule produced : [65] quotient(A,quotient(A,B)) -> t(quotient(A,B),B)
% Current number of equations to process: 157
% Current number of ordered equations: 94
% Current number of rules: 63
% New rule produced : [66] product(B,c(B,A)) -> difference(A,product(B,A))
% Rule [27] product(A,product(B,c(B,A))) -> product(B,A) collapsed.
% Rule [57] product(A,c(A,one)) -> A collapsed.
% Current number of equations to process: 155
% Current number of ordered equations: 87
% Current number of rules: 62
% New rule produced : [67] quotient(quotient(j(A),A),i(A)) -> j(A)
% Current number of equations to process: 155
% Current number of ordered equations: 86
% Current number of rules: 63
% New rule produced : [68] difference(j(A),quotient(j(A),A)) -> i(A)
% Current number of equations to process: 155
% Current number of ordered equations: 85
% Current number of rules: 64
% New rule produced : [69] a(j(B),j(C),A) <-> a(A,B,C)
% Current number of equations to process: 155
% Current number of ordered equations: 84
% Current number of rules: 65
% New rule produced : [70] a(A,B,C) <-> a(j(B),j(C),A)
% Current number of equations to process: 155
% Current number of ordered equations: 83
% Current number of rules: 66
% New rule produced : [71] product(A,product(eta(A),j(A))) -> one
% Current number of equations to process: 154
% Current number of ordered equations: 83
% Current number of rules: 67
% New rule produced : [72] i(product(B,A)) -> quotient(i(A),i(i(B)))
% Rule [23] product(i(product(A,B)),i(i(A))) -> i(B) collapsed.
% Current number of equations to process: 154
% Current number of ordered equations: 71
% Current number of rules: 67
% New rule produced : [73] a(j(A),B,i(C)) <-> a(B,j(C),A)
% Current number of equations to process: 154
% Current number of ordered equations: 70
% Current number of rules: 68
% New rule produced : [74] a(B,j(C),A) <-> a(j(A),B,i(C))
% Current number of equations to process: 154
% Current number of ordered equations: 69
% Current number of rules: 69
% New rule produced : [75] eta(i(A)) -> eta(A)
% Current number of equations to process: 155
% Current number of ordered equations: 67
% Current number of rules: 70
% New rule produced :
% [76] product(eta(A),j(product(B,A))) -> difference(A,j(B))
% Rule [20] product(A,product(eta(A),j(product(B,A)))) -> j(B) collapsed.
% Current number of equations to process: 155
% Current number of ordered equations: 61
% Current number of rules: 70
% New rule produced : [77] quotient(quotient(j(A),A),j(A)) -> t(j(A),i(A))
% Current number of equations to process: 160
% Current number of ordered equations: 60
% Current number of rules: 71
% New rule produced : [78] quotient(product(eta(A),product(A,B)),B) -> i(i(A))
% Current number of equations to process: 160
% Current number of ordered equations: 59
% Current number of rules: 72
% New rule produced : [79] quotient(product(A,product(eta(A),B)),B) -> j(j(A))
% Current number of equations to process: 160
% Current number of ordered equations: 58
% Current number of rules: 73
% New rule produced :
% [80] product(A,product(j(A),eta(A))) -> product(eta(A),eta(A))
% Current number of equations to process: 160
% Current number of ordered equations: 57
% Current number of rules: 74
% New rule produced :
% [81] t(A,product(B,A)) <-> difference(A,product(product(A,A),B))
% Current number of equations to process: 160
% Current number of ordered equations: 56
% Current number of rules: 75
% New rule produced :
% [82] difference(A,product(product(A,A),B)) <-> t(A,product(B,A))
% Current number of equations to process: 160
% Current number of ordered equations: 55
% Current number of rules: 76
% New rule produced : [83] product(A,product(B,a(A,B,one))) -> product(A,B)
% Current number of equations to process: 160
% Current number of ordered equations: 54
% Current number of rules: 77
% New rule produced : [84] product(A,product(B,a(A,one,B))) -> product(A,B)
% Current number of equations to process: 160
% Current number of ordered equations: 53
% Current number of rules: 78
% New rule produced : [85] product(A,product(B,a(one,A,B))) -> product(A,B)
% Current number of equations to process: 160
% Current number of ordered equations: 52
% Current number of rules: 79
% New rule produced :
% [86] product(B,product(difference(B,A),eta(B))) -> product(A,eta(B))
% Current number of equations to process: 162
% Current number of ordered equations: 51
% Current number of rules: 80
% New rule produced :
% [87] quotient(product(eta(A),product(B,C)),C) -> product(eta(A),B)
% Rule [78] quotient(product(eta(A),product(A,B)),B) -> i(i(A)) collapsed.
% Current number of equations to process: 162
% Current number of ordered equations: 50
% Current number of rules: 80
% New rule produced : [88] quotient(product(A,i(i(B))),B) -> product(A,eta(B))
% Current number of equations to process: 161
% Current number of ordered equations: 50
% Current number of rules: 81
% New rule produced :
% [89] quotient(product(A,B),product(B,A)) -> t(product(B,A),c(A,B))
% Current number of equations to process: 162
% Current number of ordered equations: 49
% Current number of rules: 82
% New rule produced :
% [90] difference(i(i(A)),product(eta(A),product(A,B))) -> B
% Current number of equations to process: 162
% Current number of ordered equations: 48
% Current number of rules: 83
% New rule produced :
% [91] product(eta(B),product(B,difference(i(i(B)),A))) -> A
% Current number of equations to process: 162
% Current number of ordered equations: 47
% Current number of rules: 84
% New rule produced :
% [92] difference(j(j(A)),product(A,product(eta(A),B))) -> B
% Current number of equations to process: 162
% Current number of ordered equations: 46
% Current number of rules: 85
% New rule produced :
% [93] product(B,product(eta(B),difference(j(j(B)),A))) -> A
% Current number of equations to process: 162
% Current number of ordered equations: 45
% Current number of rules: 86
% New rule produced :
% [94] quotient(product(A,product(B,eta(A))),eta(A)) -> product(A,B)
% Current number of equations to process: 162
% Current number of ordered equations: 44
% Current number of rules: 87
% New rule produced :
% [95] product(eta(C),product(difference(eta(C),A),B)) -> product(A,B)
% Current number of equations to process: 162
% Current number of ordered equations: 43
% Current number of rules: 88
% New rule produced :
% [96] product(eta(A),product(j(eta(A)),B)) -> product(eta(eta(A)),B)
% Current number of equations to process: 162
% Current number of ordered equations: 42
% Current number of rules: 89
% New rule produced :
% [97] quotient(product(A,product(B,eta(C))),eta(C)) -> product(A,B)
% Rule [94] quotient(product(A,product(B,eta(A))),eta(A)) -> product(A,B)
% collapsed.
% Current number of equations to process: 162
% Current number of ordered equations: 41
% Current number of rules: 89
% New rule produced : [98] product(eta(A),product(A,j(i(i(A))))) -> eta(A)
% Current number of equations to process: 165
% Current number of ordered equations: 41
% Current number of rules: 90
% New rule produced :
% [99] product(A,product(eta(A),j(j(j(A))))) -> eta(j(j(A)))
% Current number of equations to process: 165
% Current number of ordered equations: 40
% Current number of rules: 91
% New rule produced :
% [100] product(A,product(eta(A),i(j(A)))) -> quotient(j(j(A)),j(A))
% Current number of equations to process: 165
% Current number of ordered equations: 39
% Current number of rules: 92
% New rule produced : [101] product(i(A),j(j(A))) -> product(eta(A),eta(A))
% Current number of equations to process: 164
% Current number of ordered equations: 39
% Current number of rules: 93
% New rule produced :
% [102] difference(product(A,B),product(A,product(B,eta(A)))) -> eta(A)
% Current number of equations to process: 164
% Current number of ordered equations: 38
% Current number of rules: 94
% New rule produced :
% [103]
% quotient(product(j(A),product(B,A)),A) -> difference(A,product(eta(A),B))
% Current number of equations to process: 164
% Current number of ordered equations: 37
% Current number of rules: 95
% New rule produced :
% [104] product(i(A),product(A,c(B,C))) -> product(eta(A),c(B,C))
% Current number of equations to process: 164
% Current number of ordered equations: 36
% Current number of rules: 96
% New rule produced :
% [105] product(A,product(j(A),c(B,C))) -> product(eta(A),c(B,C))
% Current number of equations to process: 164
% Current number of ordered equations: 35
% Current number of rules: 97
% New rule produced :
% [106] difference(product(eta(A),B),product(eta(A),product(B,C))) -> C
% Current number of equations to process: 167
% Current number of ordered equations: 34
% Current number of rules: 98
% New rule produced :
% [107] product(eta(B),product(C,difference(product(eta(B),C),A))) -> A
% Current number of equations to process: 167
% Current number of ordered equations: 33
% Current number of rules: 99
% New rule produced :
% [108]
% difference(C,product(product(C,A),quotient(B,C))) -> quotient(product(A,B),C)
% Current number of equations to process: 167
% Current number of ordered equations: 32
% Current number of rules: 100
% New rule produced :
% [109]
% product(difference(A,product(product(A,B),C)),A) -> product(B,product(C,A))
% Current number of equations to process: 167
% Current number of ordered equations: 31
% Current number of rules: 101
% New rule produced :
% [110]
% product(A,quotient(product(B,product(C,A)),A)) <-> product(product(A,B),C)
% Current number of equations to process: 167
% Current number of ordered equations: 30
% Current number of rules: 102
% New rule produced :
% [111]
% product(product(A,B),C) <-> product(A,quotient(product(B,product(C,A)),A))
% Rule [21] product(product(A,B),eta(A)) -> product(A,product(B,eta(A)))
% collapsed.
% Current number of equations to process: 167
% Current number of ordered equations: 26
% Current number of rules: 102
% New rule produced :
% [112]
% quotient(product(difference(A,B),product(C,A)),A) ->
% difference(A,product(B,C))
% Current number of equations to process: 167
% Current number of ordered equations: 25
% Current number of rules: 103
% New rule produced :
% [113] product(D,product(difference(D,A),c(B,C))) -> product(A,c(B,C))
% Current number of equations to process: 167
% Current number of ordered equations: 24
% Current number of rules: 104
% New rule produced :
% [114] product(quotient(A,D),product(D,c(B,C))) -> product(A,c(B,C))
% Current number of equations to process: 167
% Current number of ordered equations: 23
% Current number of rules: 105
% New rule produced :
% [115] quotient(product(A,product(c(B,C),D)),D) -> product(A,c(B,C))
% Current number of equations to process: 167
% Current number of ordered equations: 22
% Current number of rules: 106
% New rule produced :
% [116] quotient(product(c(A,B),product(C,D)),D) -> product(c(A,B),C)
% Current number of equations to process: 167
% Current number of ordered equations: 21
% Current number of rules: 107
% New rule produced :
% [117] product(B,product(C,a(A,B,C))) -> difference(A,product(product(A,B),C))
% Rule
% [32] product(A,product(B,product(C,a(A,B,C)))) -> product(product(A,B),C)
% collapsed.
% Rule [85] product(A,product(B,a(one,A,B))) -> product(A,B) collapsed.
% Current number of equations to process: 167
% Current number of ordered equations: 20
% Current number of rules: 106
% New rule produced :
% [118] product(quotient(j(A),A),c(i(A),j(A))) -> product(i(A),j(A))
% Current number of equations to process: 171
% Current number of ordered equations: 19
% Current number of rules: 107
% New rule produced :
% [119] quotient(product(eta(A),product(A,B)),i(i(A))) -> t(i(i(A)),B)
% Current number of equations to process: 171
% Current number of ordered equations: 18
% Current number of rules: 108
% New rule produced :
% [120] quotient(product(A,product(eta(A),B)),j(j(A))) -> t(j(j(A)),B)
% Current number of equations to process: 171
% Current number of ordered equations: 17
% Current number of rules: 109
% New rule produced :
% [121]
% product(eta(A),product(B,j(product(eta(A),B)))) -> eta(product(eta(A),B))
% Current number of equations to process: 171
% Current number of ordered equations: 16
% Current number of rules: 110
% New rule produced :
% [122]
% difference(i(A),product(eta(A),B)) <->
% quotient(product(A,product(B,i(A))),i(A))
% Current number of equations to process: 171
% Current number of ordered equations: 15
% Current number of rules: 111
% New rule produced :
% [123]
% quotient(product(A,product(B,i(A))),i(A)) <->
% difference(i(A),product(eta(A),B))
% Current number of equations to process: 171
% Current number of ordered equations: 14
% Current number of rules: 112
% New rule produced :
% [124] quotient(product(A,product(B,c(C,D))),c(C,D)) -> product(A,B)
% Current number of equations to process: 171
% Current number of ordered equations: 12
% Current number of rules: 113
% New rule produced :
% [125] difference(product(A,B),product(A,product(B,c(C,D)))) -> c(C,D)
% Current number of equations to process: 171
% Current number of ordered equations: 11
% Current number of rules: 114
% New rule produced :
% [126] product(c(C,D),product(difference(c(C,D),A),B)) -> product(A,B)
% Current number of equations to process: 171
% Current number of ordered equations: 10
% Current number of rules: 115
% New rule produced :
% [127] product(i(A),product(A,a(B,C,D))) -> product(eta(A),a(B,C,D))
% Current number of equations to process: 171
% Current number of ordered equations: 9
% Current number of rules: 116
% New rule produced :
% [128] product(A,product(j(A),a(B,C,D))) -> product(eta(A),a(B,C,D))
% Current number of equations to process: 171
% Current number of ordered equations: 8
% Current number of rules: 117
% New rule produced :
% [129]
% difference(product(B,A),product(B,product(A,A))) ->
% quotient(t(A,product(B,A)),B)
% Current number of equations to process: 170
% Current number of ordered equations: 8
% Current number of rules: 118
% New rule produced :
% [130] product(quotient(j(A),A),c(B,C)) -> product(j(A),product(i(A),c(B,C)))
% Rule [118] product(quotient(j(A),A),c(i(A),j(A))) -> product(i(A),j(A))
% collapsed.
% Current number of equations to process: 174
% Current number of ordered equations: 7
% Current number of rules: 118
% New rule produced :
% [131] product(c(A,B),product(j(c(A,B)),C)) -> product(eta(c(A,B)),C)
% Current number of equations to process: 174
% Current number of ordered equations: 6
% Current number of rules: 119
% New rule produced :
% [132] product(E,product(difference(E,A),a(B,C,D))) -> product(A,a(B,C,D))
% Current number of equations to process: 174
% Current number of ordered equations: 5
% Current number of rules: 120
% New rule produced :
% [133] product(quotient(A,E),product(E,a(B,C,D))) -> product(A,a(B,C,D))
% Current number of equations to process: 174
% Current number of ordered equations: 4
% Current number of rules: 121
% New rule produced :
% [134] quotient(product(A,product(a(B,C,D),E)),E) -> product(A,a(B,C,D))
% Current number of equations to process: 174
% Current number of ordered equations: 3
% Current number of rules: 122
% New rule produced :
% [135] quotient(t(eta(A),product(B,C)),t(eta(A),C)) -> t(eta(A),B)
% Current number of equations to process: 174
% Current number of ordered equations: 2
% Current number of rules: 123
% New rule produced :
% [136] difference(t(eta(A),B),t(eta(A),product(B,C))) -> t(eta(A),C)
% Current number of equations to process: 174
% Current number of ordered equations: 1
% Current number of rules: 124
% New rule produced :
% [137] quotient(product(a(A,B,C),product(D,E)),E) -> product(a(A,B,C),D)
% Current number of equations to process: 174
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [138]
% difference(product(A,B),product(A,C)) <->
% quotient(difference(B,product(C,A)),A)
% Current number of equations to process: 185
% Current number of ordered equations: 1
% Current number of rules: 126
% New rule produced :
% [139]
% quotient(difference(B,product(C,A)),A) <->
% difference(product(A,B),product(A,C))
% Current number of equations to process: 185
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced : [140] product(a(A,B,one),a(one,A,B)) -> one
% Current number of equations to process: 203
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced : [141] i(a(A,B,C)) <-> difference(C,product(a(C,A,B),C))
% Current number of equations to process: 208
% Current number of ordered equations: 1
% Current number of rules: 129
% New rule produced : [142] difference(C,product(a(C,A,B),C)) <-> i(a(A,B,C))
% Current number of equations to process: 208
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced : [143] j(difference(A,product(a(A,B,C),A))) <-> a(B,C,A)
% Current number of equations to process: 207
% Current number of ordered equations: 1
% Current number of rules: 131
% New rule produced : [144] a(B,C,A) <-> j(difference(A,product(a(A,B,C),A)))
% The conjecture has been reduced.
% Conjecture is now:
% j(difference(x1,product(j(difference(x1,product(a(x1,x1,x0),x1))),x1))) =
% a(x1,x1,x0)
%
% Current number of equations to process: 207
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [145] quotient(A,difference(B,product(a(B,C,D),B))) <-> product(A,a(C,D,B))
% Current number of equations to process: 210
% Current number of ordered equations: 1
% Current number of rules: 133
% New rule produced :
% [146] product(A,a(C,D,B)) <-> quotient(A,difference(B,product(a(B,C,D),B)))
% Current number of equations to process: 210
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [147] product(i(A),product(eta(A),j(quotient(j(A),A)))) -> j(j(A))
% Current number of equations to process: 222
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [148]
% quotient(product(A,product(B,product(C,eta(B)))),eta(B)) ->
% product(A,product(B,C))
% Current number of equations to process: 221
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [149]
% product(A,product(B,product(C,c(product(B,C),A)))) <->
% product(product(B,C),A)
% Current number of equations to process: 220
% Current number of ordered equations: 1
% Current number of rules: 137
% New rule produced :
% [150]
% product(product(B,C),A) <->
% product(A,product(B,product(C,c(product(B,C),A))))
% Current number of equations to process: 220
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [151] difference(product(c(A,B),C),product(c(A,B),product(C,D))) -> D
% Current number of equations to process: 219
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [152] product(c(B,C),product(D,difference(product(c(B,C),D),A))) -> A
% Current number of equations to process: 218
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [153] product(A,product(B,product(C,a(j(C),A,B)))) -> product(product(A,B),C)
% Current number of equations to process: 216
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [154]
% difference(eta(B),product(i(B),product(B,A))) <->
% quotient(quotient(product(A,eta(B)),B),i(B))
% Current number of equations to process: 215
% Current number of ordered equations: 1
% Current number of rules: 142
% New rule produced :
% [155]
% quotient(quotient(product(A,eta(B)),B),i(B)) <->
% difference(eta(B),product(i(B),product(B,A)))
% Current number of equations to process: 215
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [156]
% difference(B,product(C,product(difference(C,B),A))) <->
% quotient(quotient(product(A,B),difference(C,B)),C)
% Current number of equations to process: 214
% Current number of ordered equations: 1
% Current number of rules: 144
% New rule produced :
% [157]
% quotient(quotient(product(A,B),difference(C,B)),C) <->
% difference(B,product(C,product(difference(C,B),A)))
% Current number of equations to process: 214
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [158]
% difference(B,product(quotient(B,C),product(C,A))) <->
% quotient(quotient(product(A,B),C),quotient(B,C))
% Current number of equations to process: 213
% Current number of ordered equations: 1
% Current number of rules: 146
% New rule produced :
% [159]
% quotient(quotient(product(A,B),C),quotient(B,C)) <->
% difference(B,product(quotient(B,C),product(C,A)))
% Current number of equations to process: 213
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [160]
% difference(eta(B),product(B,product(j(B),A))) <->
% quotient(quotient(product(A,eta(B)),j(B)),B)
% Current number of equations to process: 212
% Current number of ordered equations: 1
% Current number of rules: 148
% New rule produced :
% [161]
% quotient(quotient(product(A,eta(B)),j(B)),B) <->
% difference(eta(B),product(B,product(j(B),A)))
% Current number of equations to process: 212
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [162]
% product(A,product(eta(A),j(product(eta(B),product(B,A))))) -> j(i(i(B)))
% Current number of equations to process: 206
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [163]
% product(A,product(eta(A),j(product(B,product(eta(B),A))))) -> j(j(j(B)))
% Current number of equations to process: 205
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [164]
% quotient(product(eta(A),product(B,C)),product(eta(A),B)) ->
% t(product(eta(A),B),C)
% Current number of equations to process: 204
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [165]
% product(quotient(quotient(i(B),i(i(A))),i(i(eta(A)))),i(i(i(i(A))))) -> i(B)
% Current number of equations to process: 203
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [166]
% product(quotient(quotient(i(B),i(i(eta(A)))),i(i(A))),i(i(j(j(A))))) -> i(B)
% Current number of equations to process: 202
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [167] difference(product(A,B),product(A,product(B,a(C,D,E)))) -> a(C,D,E)
% Current number of equations to process: 200
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [168]
% product(j(A),product(B,product(C,a(B,C,A)))) -> product(product(j(A),B),C)
% Current number of equations to process: 199
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [169]
% product(c(A,B),product(B,A)) -> product(A,product(B,c(c(A,B),product(B,A))))
% Current number of equations to process: 204
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [170]
% product(B,product(eta(B),product(j(product(A,B)),eta(B)))) ->
% product(j(A),eta(B))
% Current number of equations to process: 201
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [171]
% product(A,product(eta(A),j(product(eta(B),product(C,A))))) ->
% j(product(eta(B),C))
% Rule
% [162]
% product(A,product(eta(A),j(product(eta(B),product(B,A))))) -> j(i(i(B)))
% collapsed.
% Current number of equations to process: 200
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [172]
% product(quotient(quotient(i(eta(A)),i(i(B))),i(i(A))),i(quotient(i(B),
% i(i(A))))) ->
% i(eta(A))
% Current number of equations to process: 199
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [173]
% difference(C,product(product(C,A),i(i(B)))) <->
% quotient(product(A,product(eta(B),product(B,C))),C)
% Current number of equations to process: 197
% Current number of ordered equations: 3
% Current number of rules: 160
% New rule produced :
% [174]
% difference(C,product(product(C,i(i(A))),B)) <->
% quotient(product(eta(A),product(A,product(B,C))),C)
% Current number of equations to process: 197
% Current number of ordered equations: 2
% Current number of rules: 161
% New rule produced :
% [175]
% quotient(product(A,product(eta(B),product(B,C))),C) <->
% difference(C,product(product(C,A),i(i(B))))
% Current number of equations to process: 197
% Current number of ordered equations: 1
% Current number of rules: 162
% New rule produced :
% [176]
% quotient(product(eta(A),product(A,product(B,C))),C) <->
% difference(C,product(product(C,i(i(A))),B))
% Current number of equations to process: 197
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [177]
% difference(C,product(product(C,A),j(j(B)))) <->
% quotient(product(A,product(B,product(eta(B),C))),C)
% Current number of equations to process: 195
% Current number of ordered equations: 3
% Current number of rules: 164
% New rule produced :
% [178]
% difference(C,product(product(C,j(j(A))),B)) <->
% quotient(product(A,product(eta(A),product(B,C))),C)
% Current number of equations to process: 195
% Current number of ordered equations: 2
% Current number of rules: 165
% New rule produced :
% [179]
% quotient(product(A,product(B,product(eta(B),C))),C) <->
% difference(C,product(product(C,A),j(j(B))))
% Current number of equations to process: 195
% Current number of ordered equations: 1
% Current number of rules: 166
% New rule produced :
% [180]
% quotient(product(A,product(eta(A),product(B,C))),C) <->
% difference(C,product(product(C,j(j(A))),B))
% Current number of equations to process: 195
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [181]
% difference(quotient(A,B),product(A,C)) <->
% quotient(product(B,product(C,quotient(A,B))),quotient(A,B))
% Current number of equations to process: 194
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced :
% [182]
% quotient(product(B,product(C,quotient(A,B))),quotient(A,B)) <->
% difference(quotient(A,B),product(A,C))
% Current number of equations to process: 194
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [183]
% difference(j(A),product(quotient(j(A),A),B)) <->
% quotient(product(i(A),product(B,j(A))),j(A))
% Current number of equations to process: 193
% Current number of ordered equations: 1
% Current number of rules: 170
% New rule produced :
% [184]
% quotient(product(i(A),product(B,j(A))),j(A)) <->
% difference(j(A),product(quotient(j(A),A),B))
% Current number of equations to process: 193
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [185]
% quotient(product(A,product(B,c(C,D))),product(A,B)) -> t(product(A,B),c(C,D))
% Current number of equations to process: 192
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [186]
% product(B,product(A,product(c(A,B),c(C,D)))) -> product(A,product(B,c(C,D)))
% Current number of equations to process: 188
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [187]
% product(quotient(j(A),A),a(B,C,D)) -> product(j(A),product(i(A),a(B,C,D)))
% Current number of equations to process: 186
% Current number of ordered equations: 1
% Current number of rules: 174
% New rule produced :
% [188] product(a(C,D,E),product(difference(a(C,D,E),A),B)) -> product(A,B)
% Current number of equations to process: 185
% Current number of ordered equations: 1
% Current number of rules: 175
% New rule produced :
% [189] quotient(product(A,product(B,a(C,D,E))),a(C,D,E)) -> product(A,B)
% Current number of equations to process: 185
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [190]
% i(difference(A,product(product(A,B),C))) <->
% product(quotient(i(C),i(quotient(i(B),i(i(A))))),i(i(A)))
% Current number of equations to process: 183
% Current number of ordered equations: 1
% Current number of rules: 177
% New rule produced :
% [191]
% product(quotient(i(C),i(quotient(i(B),i(i(A))))),i(i(A))) <->
% i(difference(A,product(product(A,B),C)))
% Current number of equations to process: 183
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [192]
% product(difference(product(A,B),product(A,product(B,C))),A) ->
% quotient(product(C,product(A,B)),B)
% Current number of equations to process: 182
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [193] product(a(A,B,C),difference(B,product(a(B,j(C),A),B))) -> one
% Current number of equations to process: 181
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [194] product(a(A,B,C),difference(C,product(a(j(B),C,A),C))) -> one
% Current number of equations to process: 179
% Current number of ordered equations: 1
% Current number of rules: 181
% New rule produced :
% [195] product(a(j(A),B,C),difference(A,product(a(A,B,C),A))) -> one
% Current number of equations to process: 179
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [196] product(c(A,B),product(eta(c(A,B)),j(product(A,B)))) -> j(product(B,A))
% Current number of equations to process: 181
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [197]
% product(quotient(quotient(i(C),i(i(B))),i(i(eta(A)))),i(quotient(i(B),
% i(i(eta(A)))))) ->
% i(C)
% Current number of equations to process: 180
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [198]
% difference(D,product(product(D,A),product(eta(B),C))) <->
% quotient(product(A,product(eta(B),product(C,D))),D)
% Current number of equations to process: 178
% Current number of ordered equations: 3
% Current number of rules: 185
% New rule produced :
% [199]
% difference(D,product(product(D,product(eta(A),B)),C)) <->
% quotient(product(eta(A),product(B,product(C,D))),D)
% Current number of equations to process: 178
% Current number of ordered equations: 2
% Current number of rules: 186
% New rule produced :
% [200]
% quotient(product(A,product(eta(B),product(C,D))),D) <->
% difference(D,product(product(D,A),product(eta(B),C)))
% Current number of equations to process: 178
% Current number of ordered equations: 1
% Current number of rules: 187
% New rule produced :
% [201]
% quotient(product(eta(A),product(B,product(C,D))),D) <->
% difference(D,product(product(D,product(eta(A),B)),C))
% Current number of equations to process: 178
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [202]
% product(product(A,B),product(eta(A),c(C,D))) ->
% product(A,product(B,product(eta(A),c(C,D))))
% Current number of equations to process: 177
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [203]
% product(A,product(eta(B),product(B,c(i(i(B)),A)))) ->
% product(eta(B),product(B,A))
% Current number of equations to process: 176
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [204]
% product(A,product(B,product(eta(B),c(j(j(B)),A)))) ->
% product(B,product(eta(B),A))
% Current number of equations to process: 175
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [205]
% product(c(A,B),product(C,j(product(c(A,B),C)))) -> eta(product(c(A,B),C))
% Current number of equations to process: 174
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [206]
% product(A,product(i(B),product(C,a(A,j(B),C)))) -> product(product(A,i(B)),C)
% Current number of equations to process: 173
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [207]
% product(product(i(A),B),C) ->
% product(i(A),difference(j(A),product(product(j(A),B),C)))
% Current number of equations to process: 172
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [208]
% product(i(A),c(i(i(B)),quotient(i(A),i(i(B))))) <->
% product(eta(B),product(B,quotient(i(A),i(i(B)))))
% Current number of equations to process: 171
% Current number of ordered equations: 1
% Current number of rules: 195
% New rule produced :
% [209]
% product(eta(B),product(B,quotient(i(A),i(i(B))))) <->
% product(i(A),c(i(i(B)),quotient(i(A),i(i(B)))))
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [210]
% product(eta(A),product(A,product(eta(A),j(i(B))))) ->
% j(quotient(i(B),i(i(A))))
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [211]
% quotient(product(A,product(B,product(C,c(D,E)))),c(D,E)) ->
% product(A,product(B,C))
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [212]
% quotient(t(eta(A),product(B,C)),t(eta(A),B)) -> t(t(eta(A),B),t(eta(A),C))
% Current number of equations to process: 168
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [213] difference(product(a(A,B,C),D),product(a(A,B,C),product(D,E))) -> E
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [214] product(a(B,C,D),product(E,difference(product(a(B,C,D),E),A))) -> A
% Current number of equations to process: 166
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [215] product(a(A,B,C),product(j(a(A,B,C)),D)) -> product(eta(a(A,B,C)),D)
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [216]
% difference(product(C,B),product(C,product(B,quotient(A,product(C,B))))) ->
% quotient(quotient(A,B),C)
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [217]
% quotient(quotient(product(B,product(A,i(B))),i(B)),A) ->
% difference(product(A,i(B)),product(A,eta(B)))
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [218]
% product(product(A,B),quotient(quotient(product(C,product(A,B)),B),A)) ->
% product(A,product(B,C))
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [219] product(a(A,j(B),C),difference(C,product(a(C,A,i(B)),C))) -> one
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [220] t(a(A,B,C),difference(C,product(a(C,A,B),C))) -> j(a(A,B,C))
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [221] product(a(B,C,D),product(difference(D,product(a(D,B,C),D)),A)) -> A
% Current number of equations to process: 159
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [222]
% product(A,product(B,difference(product(A,B),product(eta(A),product(A,B)))))
% -> product(eta(A),product(A,B))
% Current number of equations to process: 161
% Current number of ordered equations: 2
% Current number of rules: 209
% New rule produced :
% [223]
% product(product(A,B),eta(product(B,A))) <->
% product(product(B,A),product(c(A,B),eta(product(B,A))))
% Current number of equations to process: 161
% Current number of ordered equations: 1
% Current number of rules: 210
% New rule produced :
% [224]
% product(product(B,A),product(c(A,B),eta(product(B,A)))) <->
% product(product(A,B),eta(product(B,A)))
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [225]
% product(eta(A),product(eta(eta(A)),j(product(A,product(B,eta(A)))))) ->
% j(product(A,B))
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [226]
% product(eta(C),product(eta(eta(C)),product(j(product(A,eta(C))),B))) ->
% product(j(A),B)
% Current number of equations to process: 158
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [227]
% quotient(product(eta(A),product(j(product(B,A)),product(C,A))),A) ->
% difference(A,product(j(B),C))
% Current number of equations to process: 157
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [228]
% product(D,product(eta(D),product(j(product(A,D)),c(B,C)))) ->
% product(j(A),c(B,C))
% Current number of equations to process: 156
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [229]
% product(quotient(i(A),i(i(D))),product(eta(D),product(D,c(B,C)))) ->
% product(i(A),c(B,C))
% Current number of equations to process: 154
% Current number of ordered equations: 1
% Current number of rules: 216
% New rule produced :
% [230]
% product(quotient(quotient(i(c(C,D)),i(i(B))),i(i(A))),i(quotient(i(B),
% i(i(A))))) ->
% i(c(C,D))
% Current number of equations to process: 154
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [231]
% product(A,product(eta(B),product(C,c(product(eta(B),C),A)))) ->
% product(eta(B),product(C,A))
% Current number of equations to process: 152
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [232]
% product(A,product(eta(A),j(product(c(B,C),product(D,A))))) ->
% j(product(c(B,C),D))
% Current number of equations to process: 151
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [233]
% quotient(product(A,product(B,a(C,D,E))),product(A,B)) ->
% t(product(A,B),a(C,D,E))
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [234]
% product(B,product(A,product(c(A,B),a(C,D,E)))) ->
% product(A,product(B,a(C,D,E)))
% Current number of equations to process: 149
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [235]
% product(eta(B),product(j(product(A,B)),B)) ->
% product(j(A),c(difference(B,j(A)),B))
% Current number of equations to process: 148
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [236]
% product(eta(product(A,B)),product(A,product(B,product(eta(A),c(product(A,
% product(B,
% eta(A))),
% eta(product(A,B)))))))
% -> product(product(A,B),product(eta(A),eta(product(A,B))))
% Current number of equations to process: 147
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [237]
% product(eta(A),product(eta(A),product(A,product(B,c(product(A,B),eta(A))))))
% -> product(eta(A),product(A,product(B,eta(A))))
% Current number of equations to process: 146
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [238]
% product(eta(j(j(A))),product(A,product(eta(A),product(B,c(product(A,product(
% eta(A),B)),
% eta(j(j(A)))))))) ->
% product(A,product(eta(A),product(B,eta(j(j(A))))))
% Current number of equations to process: 145
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [239]
% product(product(A,B),product(c(C,D),c(E,V_5))) ->
% product(A,product(B,product(c(C,D),c(E,V_5))))
% Current number of equations to process: 144
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [240]
% quotient(product(c(A,B),product(C,D)),product(c(A,B),C)) ->
% t(product(c(A,B),C),D)
% Current number of equations to process: 143
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [241]
% difference(E,product(product(E,A),product(c(B,C),D))) <->
% quotient(product(A,product(c(B,C),product(D,E))),E)
% Current number of equations to process: 141
% Current number of ordered equations: 3
% Current number of rules: 228
% New rule produced :
% [242]
% difference(E,product(product(E,product(c(A,B),C)),D)) <->
% quotient(product(c(A,B),product(C,product(D,E))),E)
% Current number of equations to process: 141
% Current number of ordered equations: 2
% Current number of rules: 229
% New rule produced :
% [243]
% quotient(product(A,product(c(B,C),product(D,E))),E) <->
% difference(E,product(product(E,A),product(c(B,C),D)))
% Current number of equations to process: 141
% Current number of ordered equations: 1
% Current number of rules: 230
% New rule produced :
% [244]
% quotient(product(c(A,B),product(C,product(D,E))),E) <->
% difference(E,product(product(E,product(c(A,B),C)),D))
% Current number of equations to process: 141
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [245]
% product(product(A,B),product(eta(A),a(C,D,E))) ->
% product(A,product(B,product(eta(A),a(C,D,E))))
% Current number of equations to process: 139
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [246] product(i(t(eta(A),product(B,C))),i(i(t(eta(A),B)))) -> i(t(eta(A),C))
% Current number of equations to process: 138
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [247]
% difference(product(A,product(B,C)),product(A,product(B,product(C,c(D,E)))))
% -> c(D,E)
% Current number of equations to process: 137
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [248] product(a(A,B,j(C)),difference(j(C),product(a(A,B,C),j(C)))) -> one
% Current number of equations to process: 136
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [249]
% product(eta(A),product(A,product(eta(A),j(product(B,i(i(A))))))) -> j(B)
% Current number of equations to process: 135
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [250]
% product(quotient(quotient(i(D),i(i(C))),i(i(c(A,B)))),i(quotient(i(C),
% i(i(c(A,B)))))) ->
% i(D)
% Current number of equations to process: 133
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [251]
% difference(i(i(A)),product(eta(A),product(product(A,B),C))) <->
% quotient(product(B,product(C,i(i(A)))),i(i(A)))
% Current number of equations to process: 131
% Current number of ordered equations: 1
% Current number of rules: 238
% New rule produced :
% [252]
% quotient(product(B,product(C,i(i(A)))),i(i(A))) <->
% difference(i(i(A)),product(eta(A),product(product(A,B),C)))
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [253]
% difference(j(j(A)),product(product(A,product(eta(A),B)),C)) <->
% quotient(product(B,product(C,j(j(A)))),j(j(A)))
% Current number of equations to process: 130
% Current number of ordered equations: 1
% Current number of rules: 240
% New rule produced :
% [254]
% quotient(product(B,product(C,j(j(A)))),j(j(A))) <->
% difference(j(j(A)),product(product(A,product(eta(A),B)),C))
% Current number of equations to process: 130
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [255]
% product(E,product(eta(E),product(j(product(A,E)),a(B,C,D)))) ->
% product(j(A),a(B,C,D))
% Current number of equations to process: 129
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [256]
% product(quotient(i(A),i(i(E))),product(eta(E),product(E,a(B,C,D)))) ->
% product(i(A),a(B,C,D))
% Current number of equations to process: 127
% Current number of ordered equations: 1
% Current number of rules: 243
% New rule produced :
% [257]
% product(quotient(quotient(i(a(C,D,E)),i(i(B))),i(i(A))),i(quotient(i(B),
% i(i(A))))) ->
% i(a(C,D,E))
% Current number of equations to process: 127
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [258]
% quotient(product(A,product(B,product(C,a(D,E,V_5)))),a(D,E,V_5)) ->
% product(A,product(B,C))
% Current number of equations to process: 126
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [259]
% product(a(A,B,C),product(D,j(product(a(A,B,C),D)))) ->
% eta(product(a(A,B,C),D))
% Current number of equations to process: 125
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [260]
% product(A,product(eta(A),j(product(a(B,C,D),product(E,A))))) ->
% j(product(a(B,C,D),E))
% Current number of equations to process: 124
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [261]
% product(A,product(B,product(C,product(D,a(A,B,product(C,D)))))) ->
% product(product(A,B),product(C,D))
% Current number of equations to process: 123
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [262]
% difference(product(B,C),product(B,product(C,i(i(A))))) <->
% quotient(quotient(product(eta(A),product(A,product(B,C))),C),B)
% Current number of equations to process: 122
% Current number of ordered equations: 1
% Current number of rules: 249
% New rule produced :
% [263]
% quotient(quotient(product(eta(A),product(A,product(B,C))),C),B) <->
% difference(product(B,C),product(B,product(C,i(i(A)))))
% Current number of equations to process: 122
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [264]
% difference(product(B,C),product(B,product(C,j(j(A))))) <->
% quotient(quotient(product(A,product(eta(A),product(B,C))),C),B)
% Current number of equations to process: 121
% Current number of ordered equations: 1
% Current number of rules: 251
% New rule produced :
% [265]
% quotient(quotient(product(A,product(eta(A),product(B,C))),C),B) <->
% difference(product(B,C),product(B,product(C,j(j(A)))))
% Current number of equations to process: 121
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [266]
% quotient(quotient(product(C,product(A,quotient(B,C))),quotient(B,C)),A) ->
% difference(product(A,quotient(B,C)),product(A,B))
% Current number of equations to process: 120
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [267]
% difference(product(A,j(B)),product(A,quotient(j(B),B))) <->
% quotient(quotient(product(i(B),product(A,j(B))),j(B)),A)
% Current number of equations to process: 119
% Current number of ordered equations: 1
% Current number of rules: 254
% New rule produced :
% [268]
% quotient(quotient(product(i(B),product(A,j(B))),j(B)),A) <->
% difference(product(A,j(B)),product(A,quotient(j(B),B)))
% Current number of equations to process: 119
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [269] product(a(A,B,i(C)),difference(i(C),product(a(j(C),A,B),i(C)))) -> one
% Current number of equations to process: 118
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced : [270] a(A,B,one) <-> a(one,A,B)
% Current number of equations to process: 119
% Current number of ordered equations: 1
% Current number of rules: 257
% New rule produced : [271] a(one,A,B) <-> a(A,B,one)
% Current number of equations to process: 119
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced : [272] t(eta(A),product(B,eta(A))) <-> product(eta(A),B)
% Current number of equations to process: 120
% Current number of ordered equations: 1
% Current number of rules: 259
% New rule produced : [273] product(eta(A),B) <-> t(eta(A),product(B,eta(A)))
% Rule [54] product(eta(A),A) -> i(i(A)) collapsed.
% Current number of equations to process: 121
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced : [274] t(eta(A),j(j(A))) -> i(i(A))
% Current number of equations to process: 120
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [275] product(eta(A),t(eta(A),B)) -> t(eta(A),product(eta(A),B))
% Current number of equations to process: 119
% Current number of ordered equations: 0
% Current number of rules: 261
% Rule [62] product(A,eta(eta(A))) -> j(i(A)) is composed into [62]
% product(A,
% eta(eta(A))) ->
% A
% New rule produced : [276] j(i(A)) -> A
% Rule [98] product(eta(A),product(A,j(i(i(A))))) -> eta(A) collapsed.
% Rule
% [210]
% product(eta(A),product(A,product(eta(A),j(i(B))))) ->
% j(quotient(i(B),i(i(A)))) collapsed.
% Current number of equations to process: 120
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced : [277] t(A,i(A)) -> j(A)
% Current number of equations to process: 120
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced : [278] product(eta(B),product(i(eta(B)),A)) -> A
% Current number of equations to process: 128
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [279] product(B,product(i(B),A)) -> quotient(quotient(A,i(B)),B)
% Rule [278] product(eta(B),product(i(eta(B)),A)) -> A collapsed.
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced : [280] quotient(quotient(A,i(eta(B))),eta(B)) -> A
% Current number of equations to process: 130
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced : [281] product(eta(A),product(A,i(i(i(A))))) -> one
% Current number of equations to process: 128
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced : [282] product(A,product(eta(A),i(j(j(A))))) -> one
% Current number of equations to process: 127
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [283] quotient(product(i(A),product(B,A)),A) -> difference(A,B)
% Current number of equations to process: 126
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced : [284] quotient(quotient(c(A,B),i(C)),C) -> c(A,B)
% Current number of equations to process: 125
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced : [285] quotient(quotient(A,i(c(B,C))),c(B,C)) -> A
% Current number of equations to process: 124
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced : [286] quotient(quotient(a(A,B,C),i(D)),D) -> a(A,B,C)
% Current number of equations to process: 123
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced : [287] i(j(A)) -> A
% Rule [100] product(A,product(eta(A),i(j(A)))) -> quotient(j(j(A)),j(A))
% collapsed.
% Rule
% [166]
% product(quotient(quotient(i(B),i(i(eta(A)))),i(i(A))),i(i(j(j(A))))) -> i(B)
% collapsed.
% Rule [282] product(A,product(eta(A),i(j(j(A))))) -> one collapsed.
% Current number of equations to process: 125
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced : [288] t(j(A),A) -> j(j(A))
% Current number of equations to process: 125
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced : [289] product(A,i(i(A))) -> quotient(j(j(A)),j(A))
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [290] product(j(B),product(B,A)) -> quotient(quotient(A,B),j(B))
% Current number of equations to process: 133
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced : [291] quotient(quotient(c(A,B),C),j(C)) -> c(A,B)
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [292] quotient(product(A,product(B,j(A))),j(A)) -> difference(j(A),B)
% Current number of equations to process: 130
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced : [293] quotient(quotient(a(A,B,C),D),j(D)) -> a(A,B,C)
% Current number of equations to process: 129
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced : [294] difference(t(A,B),product(A,B)) -> A
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced : [295] difference(A,j(j(A))) -> eta(A)
% Current number of equations to process: 135
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced : [296] quotient(j(j(A)),eta(A)) -> A
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced : [297] quotient(j(j(A)),A) -> t(A,eta(A))
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced : [298] quotient(product(A,j(j(B))),eta(B)) -> product(A,B)
% Current number of equations to process: 140
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [299] difference(product(A,B),product(A,j(j(B)))) -> eta(B)
% Current number of equations to process: 139
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [300] product(A,product(eta(A),eta(j(j(A))))) -> j(j(j(j(A))))
% Current number of equations to process: 137
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced : [301] c(one,one) -> one
% Current number of equations to process: 138
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced : [302] c(one,A) -> one
% Rule [56] product(A,c(one,A)) -> A collapsed.
% Rule [301] c(one,one) -> one collapsed.
% Current number of equations to process: 139
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [303] product(t(eta(A),B),i(eta(A))) -> t(eta(A),product(B,j(eta(A))))
% Current number of equations to process: 142
% Current number of ordered equations: 1
% Current number of rules: 281
% New rule produced :
% [304] product(i(eta(A)),t(eta(A),B)) -> t(eta(A),product(j(eta(A)),B))
% Current number of equations to process: 142
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced : [305] quotient(product(A,B),t(A,B)) -> t(t(A,B),A)
% Current number of equations to process: 147
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced : [306] quotient(A,eta(eta(A))) -> A
% Current number of equations to process: 152
% Current number of ordered equations: 0
% Current number of rules: 284
% Rule [96] product(eta(A),product(j(eta(A)),B)) -> product(eta(eta(A)),B) is composed into
% [96] product(eta(A),product(j(eta(A)),B)) -> product(one,B)
% New rule produced : [307] eta(eta(A)) -> one
% Rule [62] product(A,eta(eta(A))) -> A collapsed.
% Rule
% [225]
% product(eta(A),product(eta(eta(A)),j(product(A,product(B,eta(A)))))) ->
% j(product(A,B)) collapsed.
% Rule
% [226]
% product(eta(C),product(eta(eta(C)),product(j(product(A,eta(C))),B))) ->
% product(j(A),B) collapsed.
% Rule [306] quotient(A,eta(eta(A))) -> A collapsed.
% Current number of equations to process: 154
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced : [308] difference(t(i(A),A),eta(A)) -> i(A)
% Current number of equations to process: 154
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [309]
% product(eta(A),product(A,product(eta(A),B))) -> j(quotient(i(B),i(i(A))))
% Rule
% [249]
% product(eta(A),product(A,product(eta(A),j(product(B,i(i(A))))))) -> j(B)
% collapsed.
% Current number of equations to process: 155
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced : [310] quotient(quotient(A,i(a(B,C,D))),a(B,C,D)) -> A
% Current number of equations to process: 154
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [311] difference(product(A,B),A) -> quotient(difference(B,A),A)
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [312]
% t(A,quotient(product(B,product(C,A)),A)) <->
% quotient(product(product(A,B),C),A)
% Current number of equations to process: 152
% Current number of ordered equations: 1
% Current number of rules: 285
% New rule produced :
% [313]
% quotient(product(product(A,B),C),A) <->
% t(A,quotient(product(B,product(C,A)),A))
% Current number of equations to process: 152
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [314]
% difference(B,product(product(B,A),t(B,C))) ->
% quotient(product(A,product(B,C)),B)
% Current number of equations to process: 151
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [315] product(t(A,B),product(A,c(C,D))) -> product(A,product(B,c(C,D)))
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced : [316] difference(t(quotient(A,B),B),A) -> quotient(A,B)
% Current number of equations to process: 159
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced : [317] difference(A,difference(B,product(A,B))) -> c(A,B)
% Current number of equations to process: 158
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced : [318] quotient(difference(A,product(B,A)),c(B,A)) -> B
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [319] quotient(difference(A,product(B,A)),B) -> t(B,c(B,A))
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced : [320] quotient(eta(A),t(i(A),A)) -> t(t(i(A),A),i(A))
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [321]
% difference(A,product(difference(B,product(A,B)),C)) -> product(c(A,B),C)
% Current number of equations to process: 166
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [322] quotient(A,t(quotient(A,B),B)) -> t(t(quotient(A,B),B),quotient(A,B))
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [323] quotient(product(A,difference(B,product(C,B))),c(C,B)) -> product(A,C)
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [324]
% difference(C,product(product(A,B),C)) ->
% product(A,product(B,c(product(A,B),C)))
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [325]
% difference(product(A,B),product(A,difference(C,product(B,C)))) -> c(B,C)
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced : [326] a(j(A),j(B),j(C)) -> a(A,B,C)
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced : [327] a(one,j(A),B) <-> a(B,one,A)
% Current number of equations to process: 165
% Current number of ordered equations: 1
% Current number of rules: 300
% New rule produced : [328] a(B,one,A) <-> a(one,j(A),B)
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced : [329] a(A,j(B),C) <-> a(B,j(C),A)
% Current number of equations to process: 165
% Current number of ordered equations: 1
% Current number of rules: 302
% New rule produced : [330] a(B,j(C),A) <-> a(A,j(B),C)
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced : [331] a(j(A),B,C) <-> a(j(B),j(C),i(A))
% Current number of equations to process: 165
% Current number of ordered equations: 1
% Current number of rules: 304
% New rule produced : [332] a(j(B),j(C),i(A)) <-> a(j(A),B,C)
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced : [333] j(product(eta(A),j(A))) -> A
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced : [334] product(eta(A),j(A)) -> i(A)
% Rule [71] product(A,product(eta(A),j(A))) -> one collapsed.
% Rule [333] j(product(eta(A),j(A))) -> A collapsed.
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced : [335] quotient(A,i(i(A))) -> i(eta(A))
% Current number of equations to process: 173
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced : [336] quotient(i(i(A)),i(A)) -> i(quotient(j(A),A))
% Current number of equations to process: 178
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced : [337] quotient(i(difference(B,A)),i(i(B))) -> i(A)
% Current number of equations to process: 177
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced : [338] quotient(i(B),i(i(quotient(A,B)))) -> i(A)
% Current number of equations to process: 176
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [339] product(quotient(i(A),i(i(B))),product(B,A)) -> eta(product(B,A))
% Current number of equations to process: 180
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [340] a(A,j(product(C,B)),D) -> a(A,quotient(i(B),i(i(C))),D)
% Current number of equations to process: 179
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [341] a(j(product(B,A)),C,D) -> a(quotient(i(A),i(i(B))),C,D)
% Current number of equations to process: 178
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced : [342] quotient(i(eta(A)),i(i(A))) -> j(A)
% Current number of equations to process: 185
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [343] quotient(i(A),i(i(B))) <-> quotient(i(B),i(i(t(B,A))))
% Rule [337] quotient(i(difference(B,A)),i(i(B))) -> i(A) collapsed.
% Rule [342] quotient(i(eta(A)),i(i(A))) -> j(A) collapsed.
% Current number of equations to process: 185
% Current number of ordered equations: 1
% Current number of rules: 312
% New rule produced : [344] quotient(i(A),i(i(t(A,eta(A))))) -> j(A)
% Current number of equations to process: 184
% Current number of ordered equations: 1
% Current number of rules: 313
% New rule produced :
% [345] quotient(i(B),i(i(t(B,A)))) <-> quotient(i(A),i(i(B)))
% Current number of equations to process: 184
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [346] i(difference(A,product(B,A))) -> quotient(i(B),i(i(t(B,c(B,A)))))
% Current number of equations to process: 183
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [347] difference(quotient(i(A),i(i(B))),eta(product(B,A))) -> product(B,A)
% Current number of equations to process: 182
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [348]
% product(eta(A),product(B,eta(product(eta(A),B)))) -> j(j(product(eta(A),B)))
% Current number of equations to process: 181
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [349]
% product(difference(A,product(eta(B),A)),C) ->
% product(eta(B),product(c(eta(B),A),C))
% Current number of equations to process: 180
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [350] quotient(quotient(i(A),i(i(eta(B)))),i(i(B))) -> quotient(i(A),B)
% Current number of equations to process: 179
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced : [351] a(A,j(B),one) <-> a(one,A,i(B))
% Current number of equations to process: 180
% Current number of ordered equations: 1
% Current number of rules: 320
% New rule produced : [352] a(one,A,i(B)) <-> a(A,j(B),one)
% Current number of equations to process: 180
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced : [353] j(a(one,j(A),B)) <-> a(B,one,A)
% Current number of equations to process: 179
% Current number of ordered equations: 1
% Current number of rules: 322
% New rule produced : [354] a(B,one,A) <-> j(a(one,j(A),B))
% Current number of equations to process: 179
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced : [355] a(j(A),B,j(C)) -> a(A,j(B),C)
% Rule [326] a(j(A),j(B),j(C)) -> a(A,B,C) collapsed.
% Current number of equations to process: 180
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced : [356] a(A,j(j(B)),C) -> a(A,B,C)
% Current number of equations to process: 179
% Current number of ordered equations: 0
% Current number of rules: 324
% Rule [331] a(j(A),B,C) <-> a(j(B),j(C),i(A)) is composed into [331]
% a(j(A),B,C) <->
% a(B,j(j(C)),A)
% Rule [74] a(B,j(C),A) <-> a(j(A),B,i(C)) is composed into [74]
% a(B,j(C),A) <->
% a(A,j(B),C)
% New rule produced : [357] a(j(A),B,i(C)) -> a(A,j(B),C)
% Rule [73] a(j(A),B,i(C)) <-> a(B,j(C),A) collapsed.
% Rule [332] a(j(B),j(C),i(A)) <-> a(j(A),B,C) collapsed.
% Current number of equations to process: 179
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced : [358] a(A,one,B) <-> a(B,j(A),one)
% Current number of equations to process: 181
% Current number of ordered equations: 1
% Current number of rules: 324
% New rule produced : [359] a(B,j(A),one) <-> a(A,one,B)
% Current number of equations to process: 181
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced : [360] a(j(j(A)),j(B),C) <-> a(B,j(C),A)
% Current number of equations to process: 181
% Current number of ordered equations: 1
% Current number of rules: 326
% New rule produced : [361] a(B,j(C),A) <-> a(j(j(A)),j(B),C)
% Current number of equations to process: 181
% Current number of ordered equations: 0
% Current number of rules: 327
% Rule [63] quotient(eta(A),i(A)) -> t(i(A),A) is composed into [63]
% quotient(
% eta(A),
% i(A)) ->
% i(i(A))
% New rule produced : [362] t(i(A),A) -> i(i(A))
% Rule [308] difference(t(i(A),A),eta(A)) -> i(A) collapsed.
% Rule [320] quotient(eta(A),t(i(A),A)) -> t(t(i(A),A),i(A)) collapsed.
% Current number of equations to process: 183
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced : [363] product(i(A),eta(A)) -> j(A)
% Current number of equations to process: 183
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced : [364] difference(i(i(A)),eta(A)) -> i(A)
% Current number of equations to process: 182
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced : [365] quotient(eta(A),i(i(A))) -> i(i(i(A)))
% Current number of equations to process: 181
% Current number of ordered equations: 0
% Current number of rules: 329
% Rule [339] product(quotient(i(A),i(i(B))),product(B,A)) -> eta(product(B,A)) is composed into
% [339]
% product(quotient(i(A),i(i(B))),product(B,A)) -> eta(quotient(i(A),i(i(B))))
% Rule [259]
% product(a(A,B,C),product(D,j(product(a(A,B,C),D)))) ->
% eta(product(a(A,B,C),D)) is composed into [259]
% product(a(A,B,C),product(D,
% j(product(
% a(A,B,C),D))))
% ->
% eta(quotient(i(D),i(i(
% a(A,B,C)))))
% Rule [205]
% product(c(A,B),product(C,j(product(c(A,B),C)))) ->
% eta(product(c(A,B),C)) is composed into [205]
% product(c(A,B),product(C,
% j(product(
% c(A,B),C)))) ->
% eta(quotient(i(C),i(i(c(A,B)))))
% Rule [121]
% product(eta(A),product(B,j(product(eta(A),B)))) ->
% eta(product(eta(A),B)) is composed into [121]
% product(eta(A),product(B,
% j(product(
% eta(A),B)))) ->
% eta(quotient(i(B),i(i(eta(A)))))
% New rule produced : [366] eta(product(B,A)) -> eta(quotient(i(A),i(i(B))))
% Rule
% [223]
% product(product(A,B),eta(product(B,A))) <->
% product(product(B,A),product(c(A,B),eta(product(B,A)))) collapsed.
% Rule
% [224]
% product(product(B,A),product(c(A,B),eta(product(B,A)))) <->
% product(product(A,B),eta(product(B,A))) collapsed.
% Rule
% [236]
% product(eta(product(A,B)),product(A,product(B,product(eta(A),c(product(A,
% product(B,
% eta(A))),
% eta(product(A,B)))))))
% -> product(product(A,B),product(eta(A),eta(product(A,B)))) collapsed.
% Rule
% [347] difference(quotient(i(A),i(i(B))),eta(product(B,A))) -> product(B,A)
% collapsed.
% Rule
% [348]
% product(eta(A),product(B,eta(product(eta(A),B)))) -> j(j(product(eta(A),B)))
% collapsed.
% Current number of equations to process: 186
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced : [367] product(eta(j(A)),j(eta(A))) -> one
% Current number of equations to process: 192
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [368] product(eta(A),j(B)) -> difference(A,j(quotient(B,A)))
% Rule [76] product(eta(A),j(product(B,A))) -> difference(A,j(B)) collapsed.
% Rule [99] product(A,product(eta(A),j(j(j(A))))) -> eta(j(j(A))) collapsed.
% Rule [147] product(i(A),product(eta(A),j(quotient(j(A),A)))) -> j(j(A))
% collapsed.
% Rule
% [163]
% product(A,product(eta(A),j(product(B,product(eta(B),A))))) -> j(j(j(B)))
% collapsed.
% Rule
% [171]
% product(A,product(eta(A),j(product(eta(B),product(C,A))))) ->
% j(product(eta(B),C)) collapsed.
% Rule
% [196] product(c(A,B),product(eta(c(A,B)),j(product(A,B)))) -> j(product(B,A))
% collapsed.
% Rule
% [232]
% product(A,product(eta(A),j(product(c(B,C),product(D,A))))) ->
% j(product(c(B,C),D)) collapsed.
% Rule
% [260]
% product(A,product(eta(A),j(product(a(B,C,D),product(E,A))))) ->
% j(product(a(B,C,D),E)) collapsed.
% Rule [334] product(eta(A),j(A)) -> i(A) collapsed.
% Rule [367] product(eta(j(A)),j(eta(A))) -> one collapsed.
% Current number of equations to process: 196
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [369] j(product(B,A)) -> difference(eta(A),difference(A,j(B)))
% Rule
% [121]
% product(eta(A),product(B,j(product(eta(A),B)))) ->
% eta(quotient(i(B),i(i(eta(A))))) collapsed.
% Rule
% [170]
% product(B,product(eta(B),product(j(product(A,B)),eta(B)))) ->
% product(j(A),eta(B)) collapsed.
% Rule
% [205]
% product(c(A,B),product(C,j(product(c(A,B),C)))) ->
% eta(quotient(i(C),i(i(c(A,B))))) collapsed.
% Rule
% [227]
% quotient(product(eta(A),product(j(product(B,A)),product(C,A))),A) ->
% difference(A,product(j(B),C)) collapsed.
% Rule
% [228]
% product(D,product(eta(D),product(j(product(A,D)),c(B,C)))) ->
% product(j(A),c(B,C)) collapsed.
% Rule
% [235]
% product(eta(B),product(j(product(A,B)),B)) ->
% product(j(A),c(difference(B,j(A)),B)) collapsed.
% Rule
% [255]
% product(E,product(eta(E),product(j(product(A,E)),a(B,C,D)))) ->
% product(j(A),a(B,C,D)) collapsed.
% Rule
% [259]
% product(a(A,B,C),product(D,j(product(a(A,B,C),D)))) ->
% eta(quotient(i(D),i(i(a(A,B,C))))) collapsed.
% Rule [340] a(A,j(product(C,B)),D) -> a(A,quotient(i(B),i(i(C))),D) collapsed.
% Rule [341] a(j(product(B,A)),C,D) -> a(quotient(i(A),i(i(B))),C,D) collapsed.
% Current number of equations to process: 201
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [370]
% difference(i(A),j(j(A))) -> difference(A,j(quotient(quotient(j(A),A),A)))
% Current number of equations to process: 198
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced : [371] j(t(A,eta(A))) -> eta(j(j(A)))
% Current number of equations to process: 197
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [372]
% product(eta(A),difference(eta(quotient(i(A),i(i(eta(B))))),difference(
% product(eta(B),A),
% j(B)))) ->
% difference(A,j(j(j(B))))
% Current number of equations to process: 196
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [373] product(i(A),difference(A,j(quotient(quotient(j(A),A),A)))) -> j(j(A))
% Current number of equations to process: 195
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [374]
% quotient(product(product(A,B),C),quotient(product(B,product(C,A)),A)) -> A
% Current number of equations to process: 194
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [375]
% difference(difference(A,product(product(A,B),C)),product(B,product(C,A))) ->
% A
% Current number of equations to process: 193
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [376]
% t(eta(B),product(difference(eta(B),A),C)) ->
% product(quotient(A,eta(B)),t(eta(B),C))
% Current number of equations to process: 191
% Current number of ordered equations: 1
% Current number of rules: 315
% New rule produced :
% [377]
% product(t(eta(A),B),quotient(C,eta(A))) ->
% t(eta(A),product(B,difference(eta(A),C)))
% Current number of equations to process: 191
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [378]
% product(difference(A,product(B,A)),c(C,D)) ->
% product(B,product(c(B,A),c(C,D)))
% Current number of equations to process: 190
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced : [379] quotient(A,j(eta(A))) -> j(j(A))
% Current number of equations to process: 194
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [380] quotient(product(A,B),difference(eta(A),B)) -> j(j(A))
% Current number of equations to process: 193
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced : [381] difference(t(j(A),i(A)),quotient(j(A),A)) -> j(A)
% Current number of equations to process: 193
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced : [382] quotient(A,i(eta(A))) -> j(j(A))
% Current number of equations to process: 193
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [383] product(j(A),eta(A)) -> difference(A,product(eta(A),eta(A)))
% Rule [80] product(A,product(j(A),eta(A))) -> product(eta(A),eta(A))
% collapsed.
% Current number of equations to process: 198
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced : [384] quotient(product(i(A),product(eta(A),B)),B) -> j(A)
% Current number of equations to process: 206
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [385]
% t(A,product(B,product(eta(B),A))) <->
% difference(A,product(product(A,A),j(j(B))))
% Current number of equations to process: 208
% Current number of ordered equations: 1
% Current number of rules: 323
% New rule produced :
% [386]
% difference(A,product(product(A,A),j(j(B)))) <->
% t(A,product(B,product(eta(B),A)))
% Current number of equations to process: 208
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [387]
% t(A,product(eta(B),product(B,A))) <->
% difference(A,product(product(A,A),i(i(B))))
% Current number of equations to process: 207
% Current number of ordered equations: 1
% Current number of rules: 325
% New rule produced :
% [388]
% difference(A,product(product(A,A),i(i(B)))) <->
% t(A,product(eta(B),product(B,A)))
% Current number of equations to process: 207
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [389]
% t(eta(A),product(B,product(C,eta(A)))) <->
% product(t(eta(A),B),product(eta(A),C))
% Current number of equations to process: 205
% Current number of ordered equations: 2
% Current number of rules: 327
% New rule produced :
% [390]
% t(eta(A),product(product(B,eta(A)),C)) ->
% product(eta(A),product(B,t(eta(A),C)))
% Current number of equations to process: 205
% Current number of ordered equations: 1
% Current number of rules: 328
% New rule produced :
% [391]
% product(t(eta(A),B),product(eta(A),C)) <->
% t(eta(A),product(B,product(C,eta(A))))
% Current number of equations to process: 205
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced : [392] t(A,product(c(B,C),A)) <-> product(A,c(B,C))
% Current number of equations to process: 212
% Current number of ordered equations: 1
% Current number of rules: 330
% New rule produced : [393] product(A,c(B,C)) <-> t(A,product(c(B,C),A))
% Current number of equations to process: 212
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [394] product(A,t(A,product(B,A))) <-> product(product(A,A),B)
% Current number of equations to process: 211
% Current number of ordered equations: 1
% Current number of rules: 332
% New rule produced :
% [395] product(product(A,A),B) <-> product(A,t(A,product(B,A)))
% Current number of equations to process: 211
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced : [396] t(A,product(a(B,C,D),A)) <-> product(A,a(B,C,D))
% Current number of equations to process: 216
% Current number of ordered equations: 1
% Current number of rules: 334
% New rule produced : [397] product(A,a(B,C,D)) <-> t(A,product(a(B,C,D),A))
% Current number of equations to process: 216
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [398] product(c(A,B),A) -> t(c(A,B),difference(B,product(A,B)))
% Current number of equations to process: 215
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced : [399] t(c(A,B),product(C,c(A,B))) <-> product(c(A,B),C)
% Current number of equations to process: 214
% Current number of ordered equations: 1
% Current number of rules: 337
% New rule produced : [400] product(c(A,B),C) <-> t(c(A,B),product(C,c(A,B)))
% Rule [398] product(c(A,B),A) -> t(c(A,B),difference(B,product(A,B)))
% collapsed.
% Current number of equations to process: 214
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [401] difference(A,quotient(t(A,c(product(A,A),j(A))),j(A))) -> one
% Current number of equations to process: 213
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced : [402] product(A,a(A,one,one)) -> A
% Current number of equations to process: 218
% Current number of ordered equations: 1
% Current number of rules: 339
% New rule produced : [403] product(A,a(one,A,one)) -> A
% Current number of equations to process: 218
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced : [404] product(A,a(B,A,one)) -> A
% Rule [83] product(A,product(B,a(A,B,one))) -> product(A,B) collapsed.
% Rule [403] product(A,a(one,A,one)) -> A collapsed.
% Current number of equations to process: 219
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced : [405] product(A,a(one,one,A)) -> A
% Current number of equations to process: 221
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced : [406] product(A,a(B,one,A)) -> A
% Rule [84] product(A,product(B,a(A,one,B))) -> product(A,B) collapsed.
% Rule [405] product(A,a(one,one,A)) -> A collapsed.
% Current number of equations to process: 222
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [407] product(difference(A,B),eta(A)) -> difference(A,product(B,eta(A)))
% Rule [86] product(B,product(difference(B,A),eta(B))) -> product(A,eta(B))
% collapsed.
% Current number of equations to process: 227
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [408] product(eta(A),quotient(B,C)) -> quotient(product(eta(A),B),C)
% Current number of equations to process: 232
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [409] product(eta(A),i(B)) -> quotient(product(eta(A),eta(B)),B)
% Current number of equations to process: 233
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [410] quotient(product(eta(A),B),difference(C,B)) <-> product(eta(A),C)
% Current number of equations to process: 232
% Current number of ordered equations: 1
% Current number of rules: 342
% Rule [390]
% t(eta(A),product(product(B,eta(A)),C)) ->
% product(eta(A),product(B,t(eta(A),C))) is composed into [390]
% t(eta(A),
% product(
% product(B,
% eta(A)),C)) ->
% quotient(
% product(
% eta(A),B),
% difference(
% product(B,
% t(eta(A),C)),B))
% Rule [388]
% difference(A,product(product(A,A),i(i(B)))) <->
% t(A,product(eta(B),product(B,A))) is composed into [388]
% difference(A,
% product(product(A,A),
% i(i(B)))) <->
% t(A,quotient(
% product(eta(B),B),
% difference(
% product(B,A),B)))
% Rule [383] product(j(A),eta(A)) -> difference(A,product(eta(A),eta(A))) is composed into
% [383]
% product(j(A),eta(A)) ->
% difference(A,quotient(product(eta(A),x1),difference(eta(A),x1)))
% Rule [349]
% product(difference(A,product(eta(B),A)),C) ->
% product(eta(B),product(c(eta(B),A),C)) is composed into [349]
% product(
% difference(A,
% product(
% eta(B),A)),C) ->
% quotient(
% product(
% eta(B),B),
% difference(
% product(
% c(eta(B),A),C),B))
% Rule [264]
% difference(product(B,C),product(B,product(C,j(j(A))))) <->
% quotient(quotient(product(A,product(eta(A),product(B,C))),C),B) is composed into
% [264]
% difference(product(B,C),product(B,product(C,j(j(A))))) <->
% quotient(quotient(product(A,quotient(product(eta(A),B),difference(product(B,C),B))),C),B)
% Rule [262]
% difference(product(B,C),product(B,product(C,i(i(A))))) <->
% quotient(quotient(product(eta(A),product(A,product(B,C))),C),B) is composed into
% [262]
% difference(product(B,C),product(B,product(C,i(i(A))))) <->
% quotient(quotient(quotient(product(eta(A),B),difference(product(A,product(B,C)),B)),C),B)
% Rule [252]
% quotient(product(B,product(C,i(i(A)))),i(i(A))) <->
% difference(i(i(A)),product(eta(A),product(product(A,B),C))) is composed into
% [252]
% quotient(product(B,product(C,i(i(A)))),i(i(A))) <->
% difference(i(i(A)),quotient(product(eta(A),B),difference(product(product(A,B),C),B)))
% Rule [208]
% product(i(A),c(i(i(B)),quotient(i(A),i(i(B))))) <->
% product(eta(B),product(B,quotient(i(A),i(i(B))))) is composed into
% [208]
% product(i(A),c(i(i(B)),quotient(i(A),i(i(B))))) <->
% quotient(product(eta(B),B),difference(product(B,quotient(i(A),i(i(B)))),B))
% Rule [199]
% difference(D,product(product(D,product(eta(A),B)),C)) <->
% quotient(product(eta(A),product(B,product(C,D))),D) is composed into
% [199]
% difference(D,product(product(D,product(eta(A),B)),C)) <->
% quotient(quotient(product(eta(A),B),difference(product(B,product(C,D)),B)),D)
% Rule [198]
% difference(D,product(product(D,A),product(eta(B),C))) <->
% quotient(product(A,product(eta(B),product(C,D))),D) is composed into
% [198]
% difference(D,product(product(D,A),product(eta(B),C))) <->
% quotient(product(A,quotient(product(eta(B),x1),difference(product(C,D),x1))),D)
% Rule [178]
% difference(C,product(product(C,j(j(A))),B)) <->
% quotient(product(A,product(eta(A),product(B,C))),C) is composed into
% [178]
% difference(C,product(product(C,j(j(A))),B)) <->
% quotient(product(A,quotient(product(eta(A),B),difference(product(B,C),B))),C)
% Rule [174]
% difference(C,product(product(C,i(i(A))),B)) <->
% quotient(product(eta(A),product(A,product(B,C))),C) is composed into
% [174]
% difference(C,product(product(C,i(i(A))),B)) <->
% quotient(quotient(product(eta(A),B),difference(product(A,product(B,C)),B)),C)
% Rule [173]
% difference(C,product(product(C,A),i(i(B)))) <->
% quotient(product(A,product(eta(B),product(B,C))),C) is composed into
% [173]
% difference(C,product(product(C,A),i(i(B)))) <->
% quotient(product(A,quotient(product(eta(B),B),difference(product(B,C),B))),C)
% Rule [128] product(A,product(j(A),a(B,C,D))) -> product(eta(A),a(B,C,D)) is composed into
% [128]
% product(A,product(j(A),a(B,C,D))) ->
% quotient(product(eta(A),B),difference(a(B,C,D),B))
% Rule [127] product(i(A),product(A,a(B,C,D))) -> product(eta(A),a(B,C,D)) is composed into
% [127]
% product(i(A),product(A,a(B,C,D))) ->
% quotient(product(eta(A),B),difference(a(B,C,D),B))
% Rule [105] product(A,product(j(A),c(B,C))) -> product(eta(A),c(B,C)) is composed into
% [105]
% product(A,product(j(A),c(B,C))) ->
% quotient(product(eta(A),B),difference(c(B,C),B))
% Rule [104] product(i(A),product(A,c(B,C))) -> product(eta(A),c(B,C)) is composed into
% [104]
% product(i(A),product(A,c(B,C))) ->
% quotient(product(eta(A),B),difference(c(B,C),B))
% Rule [101] product(i(A),j(j(A))) -> product(eta(A),eta(A)) is composed into
% [101]
% product(i(A),j(j(A))) -> quotient(product(eta(A),x1),difference(eta(A),x1))
% Rule [22] product(product(eta(A),B),C) -> product(eta(A),product(B,C)) is composed into
% [22]
% product(product(eta(A),B),C) ->
% quotient(product(eta(A),B),difference(product(B,C),B))
% Rule [18] product(i(i(A)),B) -> product(eta(A),product(A,B)) is composed into
% [18]
% product(i(i(A)),B) -> quotient(product(eta(A),B),difference(product(A,B),B))
% New rule produced :
% [411] product(eta(A),C) <-> quotient(product(eta(A),B),difference(C,B))
% Rule [87] quotient(product(eta(A),product(B,C)),C) -> product(eta(A),B)
% collapsed.
% Rule [90] difference(i(i(A)),product(eta(A),product(A,B))) -> B collapsed.
% Rule [91] product(eta(B),product(B,difference(i(i(B)),A))) -> A collapsed.
% Rule [93] product(B,product(eta(B),difference(j(j(B)),A))) -> A collapsed.
% Rule [95] product(eta(C),product(difference(eta(C),A),B)) -> product(A,B)
% collapsed.
% Rule [96] product(eta(A),product(j(eta(A)),B)) -> product(one,B) collapsed.
% Rule [106] difference(product(eta(A),B),product(eta(A),product(B,C))) -> C
% collapsed.
% Rule [107] product(eta(B),product(C,difference(product(eta(B),C),A))) -> A
% collapsed.
% Rule [119] quotient(product(eta(A),product(A,B)),i(i(A))) -> t(i(i(A)),B)
% collapsed.
% Rule
% [164]
% quotient(product(eta(A),product(B,C)),product(eta(A),B)) ->
% t(product(eta(A),B),C) collapsed.
% Rule
% [175]
% quotient(product(A,product(eta(B),product(B,C))),C) <->
% difference(C,product(product(C,A),i(i(B)))) collapsed.
% Rule
% [176]
% quotient(product(eta(A),product(A,product(B,C))),C) <->
% difference(C,product(product(C,i(i(A))),B)) collapsed.
% Rule
% [180]
% quotient(product(A,product(eta(A),product(B,C))),C) <->
% difference(C,product(product(C,j(j(A))),B)) collapsed.
% Rule
% [200]
% quotient(product(A,product(eta(B),product(C,D))),D) <->
% difference(D,product(product(D,A),product(eta(B),C))) collapsed.
% Rule
% [201]
% quotient(product(eta(A),product(B,product(C,D))),D) <->
% difference(D,product(product(D,product(eta(A),B)),C)) collapsed.
% Rule
% [202]
% product(product(A,B),product(eta(A),c(C,D))) ->
% product(A,product(B,product(eta(A),c(C,D)))) collapsed.
% Rule
% [203]
% product(A,product(eta(B),product(B,c(i(i(B)),A)))) ->
% product(eta(B),product(B,A)) collapsed.
% Rule
% [204]
% product(A,product(B,product(eta(B),c(j(j(B)),A)))) ->
% product(B,product(eta(B),A)) collapsed.
% Rule
% [209]
% product(eta(B),product(B,quotient(i(A),i(i(B))))) <->
% product(i(A),c(i(i(B)),quotient(i(A),i(i(B))))) collapsed.
% Rule
% [222]
% product(A,product(B,difference(product(A,B),product(eta(A),product(A,B)))))
% -> product(eta(A),product(A,B)) collapsed.
% Rule
% [229]
% product(quotient(i(A),i(i(D))),product(eta(D),product(D,c(B,C)))) ->
% product(i(A),c(B,C)) collapsed.
% Rule
% [231]
% product(A,product(eta(B),product(C,c(product(eta(B),C),A)))) ->
% product(eta(B),product(C,A)) collapsed.
% Rule
% [237]
% product(eta(A),product(eta(A),product(A,product(B,c(product(A,B),eta(A))))))
% -> product(eta(A),product(A,product(B,eta(A)))) collapsed.
% Rule
% [238]
% product(eta(j(j(A))),product(A,product(eta(A),product(B,c(product(A,product(
% eta(A),B)),
% eta(j(j(A)))))))) ->
% product(A,product(eta(A),product(B,eta(j(j(A)))))) collapsed.
% Rule
% [245]
% product(product(A,B),product(eta(A),a(C,D,E))) ->
% product(A,product(B,product(eta(A),a(C,D,E)))) collapsed.
% Rule
% [251]
% difference(i(i(A)),product(eta(A),product(product(A,B),C))) <->
% quotient(product(B,product(C,i(i(A)))),i(i(A))) collapsed.
% Rule
% [256]
% product(quotient(i(A),i(i(E))),product(eta(E),product(E,a(B,C,D)))) ->
% product(i(A),a(B,C,D)) collapsed.
% Rule
% [263]
% quotient(quotient(product(eta(A),product(A,product(B,C))),C),B) <->
% difference(product(B,C),product(B,product(C,i(i(A))))) collapsed.
% Rule
% [265]
% quotient(quotient(product(A,product(eta(A),product(B,C))),C),B) <->
% difference(product(B,C),product(B,product(C,j(j(A))))) collapsed.
% Rule [275] product(eta(A),t(eta(A),B)) -> t(eta(A),product(eta(A),B))
% collapsed.
% Rule [281] product(eta(A),product(A,i(i(i(A))))) -> one collapsed.
% Rule [300] product(A,product(eta(A),eta(j(j(A))))) -> j(j(j(j(A))))
% collapsed.
% Rule
% [309]
% product(eta(A),product(A,product(eta(A),B))) -> j(quotient(i(B),i(i(A))))
% collapsed.
% Rule [368] product(eta(A),j(B)) -> difference(A,j(quotient(B,A))) collapsed.
% Rule
% [372]
% product(eta(A),difference(eta(quotient(i(A),i(i(eta(B))))),difference(
% product(eta(B),A),
% j(B)))) ->
% difference(A,j(j(j(B)))) collapsed.
% Rule
% [387]
% t(A,product(eta(B),product(B,A))) <->
% difference(A,product(product(A,A),i(i(B)))) collapsed.
% Rule [408] product(eta(A),quotient(B,C)) -> quotient(product(eta(A),B),C)
% collapsed.
% Rule [409] product(eta(A),i(B)) -> quotient(product(eta(A),eta(B)),B)
% collapsed.
% Current number of equations to process: 269
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [412]
% quotient(quotient(product(eta(A),B),difference(eta(B),B)),j(B)) ->
% product(eta(A),B)
% Current number of equations to process: 268
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced : [413] quotient(i(i(A)),A) -> eta(A)
% Current number of equations to process: 269
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [414] product(quotient(A,i(i(B))),eta(B)) -> quotient(A,B)
% Current number of equations to process: 273
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [415] t(A,t(A,product(B,A))) <-> quotient(product(product(A,A),B),A)
% Current number of equations to process: 273
% Current number of ordered equations: 1
% Current number of rules: 309
% New rule produced :
% [416] quotient(product(product(A,A),B),A) <-> t(A,t(A,product(B,A)))
% Current number of equations to process: 273
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [417] quotient(product(product(A,A),B),t(A,product(B,A))) -> A
% Current number of equations to process: 270
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [418]
% quotient(product(eta(A),B),difference(j(B),B)) ->
% difference(A,j(quotient(B,A)))
% Current number of equations to process: 268
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [419] product(A,product(i(B),a(A,j(B),one))) -> product(A,i(B))
% Current number of equations to process: 267
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [420]
% quotient(quotient(product(eta(A),B),difference(quotient(j(B),B),B)),i(B)) ->
% difference(A,j(quotient(B,A)))
% Current number of equations to process: 266
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [421] quotient(product(eta(A),B),difference(product(j(eta(A)),B),B)) -> B
% Current number of equations to process: 265
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [422]
% quotient(t(eta(A),product(x1,eta(A))),difference(product(A,i(i(i(A)))),x1))
% -> one
% Current number of equations to process: 264
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced : [423] t(A,c(A,one)) -> one
% Current number of equations to process: 273
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced : [424] c(i(A),A) -> eta(A)
% Current number of equations to process: 274
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced : [425] c(A,j(A)) -> eta(A)
% Current number of equations to process: 279
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced : [426] t(eta(A),c(A,i(A))) -> j(eta(A))
% Current number of equations to process: 278
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced : [427] t(eta(A),c(j(A),A)) -> j(eta(A))
% Current number of equations to process: 277
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [428] difference(product(A,eta(B)),product(A,i(i(B)))) -> B
% Current number of equations to process: 284
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [429] quotient(product(difference(A,B),A),B) -> t(B,c(difference(A,B),A))
% Current number of equations to process: 283
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [430] quotient(product(A,quotient(B,A)),B) -> t(B,c(A,quotient(B,A)))
% Current number of equations to process: 282
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [431]
% quotient(product(A,i(i(B))),product(A,eta(B))) -> t(product(A,eta(B)),B)
% Current number of equations to process: 288
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [432] c(a(A,B,C),difference(C,product(a(C,A,B),C))) -> one
% Current number of equations to process: 286
% Current number of ordered equations: 1
% Current number of rules: 326
% New rule produced :
% [433] c(difference(A,product(a(A,B,C),A)),a(B,C,A)) -> one
% Current number of equations to process: 286
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [434]
% quotient(product(eta(A),B),difference(difference(eta(quotient(i(eta(A)),
% i(i(B)))),difference(
% product(B,
% eta(A)),
% j(A))),B)) ->
% difference(eta(B),difference(B,j(A)))
% Current number of equations to process: 285
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [435]
% quotient(quotient(product(eta(A),B),quotient(difference(C,B),B)),C) ->
% product(eta(A),B)
% Current number of equations to process: 284
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [436]
% quotient(product(eta(C),B),difference(product(difference(eta(C),j(A)),B),B))
% -> product(j(A),B)
% Current number of equations to process: 283
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [437]
% difference(product(B,A),product(B,product(A,difference(eta(A),difference(A,
% j(B)))))) ->
% quotient(j(A),B)
% Current number of equations to process: 281
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [438] product(t(A,B),product(A,a(C,D,E))) -> product(A,product(B,a(C,D,E)))
% Current number of equations to process: 279
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [439]
% difference(B,quotient(product(eta(A),B),difference(product(A,B),B))) ->
% quotient(product(eta(A),B),difference(product(A,c(i(i(A)),B)),B))
% Current number of equations to process: 278
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [440]
% product(A,quotient(product(eta(A),B),difference(c(j(j(A)),B),B))) ->
% difference(B,product(A,product(eta(A),B)))
% Current number of equations to process: 277
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [441] quotient(quotient(j(A),A),t(j(A),i(A))) -> t(t(j(A),i(A)),j(A))
% Current number of equations to process: 276
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [442]
% t(A,quotient(t(eta(B),product(x1,eta(B))),difference(product(C,A),x1))) <->
% difference(A,product(product(A,A),product(eta(B),C)))
% Current number of equations to process: 275
% Current number of ordered equations: 1
% Current number of rules: 336
% New rule produced :
% [443]
% difference(A,product(product(A,A),product(eta(B),C))) <->
% t(A,quotient(t(eta(B),product(x1,eta(B))),difference(product(C,A),x1)))
% Current number of equations to process: 275
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [444] t(a(A,B,C),product(D,a(A,B,C))) <-> product(a(A,B,C),D)
% Current number of equations to process: 274
% Current number of ordered equations: 1
% Current number of rules: 338
% Rule [146]
% product(A,a(C,D,B)) <-> quotient(A,difference(B,product(a(B,C,D),B))) is composed into
% [146]
% product(A,a(C,D,B)) <->
% quotient(A,difference(B,t(a(B,C,D),product(B,a(B,C,D)))))
% Rule [144] a(B,C,A) <-> j(difference(A,product(a(A,B,C),A))) is composed into
% [144] a(B,C,A) <-> j(difference(A,t(a(A,B,C),product(A,a(A,B,C)))))
% Rule [141] i(a(A,B,C)) <-> difference(C,product(a(C,A,B),C)) is composed into
% [141] i(a(A,B,C)) <-> difference(C,t(a(C,A,B),product(C,a(C,A,B))))
% New rule produced :
% [445] product(a(A,B,C),D) <-> t(a(A,B,C),product(D,a(A,B,C)))
% Rule [35] product(a(A,B,C),difference(C,product(a(C,A,B),C))) -> one
% collapsed.
% Rule [142] difference(C,product(a(C,A,B),C)) <-> i(a(A,B,C)) collapsed.
% Rule [143] j(difference(A,product(a(A,B,C),A))) <-> a(B,C,A) collapsed.
% Rule
% [145] quotient(A,difference(B,product(a(B,C,D),B))) <-> product(A,a(C,D,B))
% collapsed.
% Rule [193] product(a(A,B,C),difference(B,product(a(B,j(C),A),B))) -> one
% collapsed.
% Rule [194] product(a(A,B,C),difference(C,product(a(j(B),C,A),C))) -> one
% collapsed.
% Rule [195] product(a(j(A),B,C),difference(A,product(a(A,B,C),A))) -> one
% collapsed.
% Rule [219] product(a(A,j(B),C),difference(C,product(a(C,A,i(B)),C))) -> one
% collapsed.
% Rule [220] t(a(A,B,C),difference(C,product(a(C,A,B),C))) -> j(a(A,B,C))
% collapsed.
% Rule
% [221] product(a(B,C,D),product(difference(D,product(a(D,B,C),D)),A)) -> A
% collapsed.
% Rule
% [248] product(a(A,B,j(C)),difference(j(C),product(a(A,B,C),j(C)))) -> one
% collapsed.
% Rule
% [269] product(a(A,B,i(C)),difference(i(C),product(a(j(C),A,B),i(C)))) -> one
% collapsed.
% Rule [432] c(a(A,B,C),difference(C,product(a(C,A,B),C))) -> one collapsed.
% Rule [433] c(difference(A,product(a(A,B,C),A)),a(B,C,A)) -> one collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% j(difference(x1,product(j(difference(x1,t(a(x1,x1,x0),product(x1,a(x1,x1,x0))))),x1))) =
% a(x1,x1,x0)
%
% Current number of equations to process: 288
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [446] product(a(A,B,C),difference(C,t(a(C,A,B),product(C,a(C,A,B))))) -> one
% Current number of equations to process: 287
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [447]
% quotient(quotient(product(eta(A),B),difference(quotient(i(i(B)),quotient(
% difference(C,B),B)),B)),C)
% -> quotient(product(eta(A),B),difference(i(i(B)),B))
% Current number of equations to process: 286
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced : [448] t(product(A,A),c(A,A)) -> one
% Current number of equations to process: 288
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced : [449] difference(j(j(A)),A) -> j(eta(A))
% Current number of equations to process: 298
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [450] difference(j(j(A)),product(A,B)) -> difference(eta(A),B)
% Rule [92] difference(j(j(A)),product(A,product(eta(A),B))) -> B collapsed.
% Current number of equations to process: 297
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced : [451] product(A,i(eta(B))) -> quotient(A,eta(B))
% Rule [303] product(t(eta(A),B),i(eta(A))) -> t(eta(A),product(B,j(eta(A))))
% collapsed.
% Current number of equations to process: 300
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [452] product(A,quotient(B,eta(C))) -> quotient(product(A,B),eta(C))
% Rule
% [377]
% product(t(eta(A),B),quotient(C,eta(A))) ->
% t(eta(A),product(B,difference(eta(A),C))) collapsed.
% Current number of equations to process: 302
% Current number of ordered equations: 1
% Current number of rules: 329
% New rule produced :
% [453] product(product(A,B),eta(C)) -> product(A,product(B,eta(C)))
% Current number of equations to process: 302
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [454] product(quotient(A,product(C,eta(B))),C) -> quotient(A,eta(B))
% Current number of equations to process: 305
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [455] t(eta(A),product(B,j(eta(A)))) -> quotient(t(eta(A),B),eta(A))
% Current number of equations to process: 309
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced : [456] quotient(i(i(A)),j(j(A))) -> t(j(j(A)),c(eta(A),A))
% Current number of equations to process: 307
% Current number of ordered equations: 1
% Current number of rules: 333
% New rule produced : [457] quotient(j(j(A)),i(i(A))) -> t(i(i(A)),c(A,eta(A)))
% Current number of equations to process: 307
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [458] difference(product(B,eta(C)),product(B,product(eta(C),A))) -> A
% Current number of equations to process: 307
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [459] difference(t(product(A,B),c(B,A)),product(B,A)) -> product(A,B)
% Current number of equations to process: 306
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [460]
% quotient(product(t(eta(A),B),C),eta(A)) ->
% t(eta(A),product(B,difference(eta(A),C)))
% Current number of equations to process: 305
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [461] quotient(product(A,t(A,B)),product(A,B)) -> t(product(A,B),c(A,t(A,B)))
% Current number of equations to process: 304
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced : [462] product(A,j(eta(B))) -> quotient(A,eta(B))
% Rule [455] t(eta(A),product(B,j(eta(A)))) -> quotient(t(eta(A),B),eta(A))
% collapsed.
% Current number of equations to process: 307
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [463] quotient(t(eta(A),B),eta(A)) -> t(eta(A),quotient(B,eta(A)))
% Current number of equations to process: 310
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [464] difference(product(A,B),product(A,product(B,eta(C)))) -> eta(C)
% Rule [102] difference(product(A,B),product(A,product(B,eta(A)))) -> eta(A)
% collapsed.
% Current number of equations to process: 315
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [465] quotient(product(A,product(eta(B),C)),eta(B)) -> product(A,t(eta(B),C))
% Current number of equations to process: 315
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [466]
% product(t(product(A,eta(B)),C),A) ->
% quotient(product(product(A,eta(B)),C),eta(B))
% Current number of equations to process: 316
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [467]
% quotient(product(A,product(B,eta(C))),product(A,B)) -> t(product(A,B),eta(C))
% Current number of equations to process: 315
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [468]
% quotient(product(j(A),B),A) -> difference(A,quotient(product(eta(A),B),A))
% Rule
% [103]
% quotient(product(j(A),product(B,A)),A) -> difference(A,product(eta(A),B))
% collapsed.
% Current number of equations to process: 327
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [469]
% product(i(A),difference(B,product(A,B))) ->
% quotient(i(i(A)),difference(c(A,B),A))
% Current number of equations to process: 366
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [470]
% quotient(product(difference(A,B),C),A) ->
% difference(A,product(B,quotient(C,A)))
% Rule
% [112]
% quotient(product(difference(A,B),product(C,A)),A) ->
% difference(A,product(B,C)) collapsed.
% Current number of equations to process: 382
% Current number of ordered equations: 1
% Current number of rules: 343
% New rule produced :
% [471]
% product(product(A,B),quotient(C,A)) -> product(A,quotient(product(B,C),A))
% Rule
% [108]
% difference(C,product(product(C,A),quotient(B,C))) -> quotient(product(A,B),C)
% collapsed.
% Rule
% [218]
% product(product(A,B),quotient(quotient(product(C,product(A,B)),B),A)) ->
% product(A,product(B,C)) collapsed.
% Current number of equations to process: 383
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [472] product(product(A,c(B,C)),D) -> product(A,product(c(B,C),D))
% Current number of equations to process: 396
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [473]
% product(difference(A,product(B,C)),A) ->
% product(difference(A,B),product(C,A))
% Rule
% [109]
% product(difference(A,product(product(A,B),C)),A) -> product(B,product(C,A))
% collapsed.
% Current number of equations to process: 395
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [474]
% product(C,product(difference(product(A,C),B),A)) ->
% product(difference(A,B),A)
% Current number of equations to process: 413
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [475]
% difference(i(A),quotient(product(eta(A),B),i(A))) ->
% quotient(product(A,B),i(A))
% Current number of equations to process: 420
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [476]
% difference(i(i(A)),quotient(product(eta(A),B),difference(product(A,B),B))) ->
% B
% Current number of equations to process: 418
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [477] quotient(i(i(B)),quotient(difference(difference(i(i(B)),A),B),B)) -> A
% Current number of equations to process: 417
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [478] product(B,quotient(i(i(B)),difference(difference(j(j(B)),A),B))) -> A
% Current number of equations to process: 416
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [479]
% quotient(product(eta(C),B),difference(product(difference(eta(C),A),B),B)) ->
% product(A,B)
% Rule
% [436]
% quotient(product(eta(C),B),difference(product(difference(eta(C),j(A)),B),B))
% -> product(j(A),B) collapsed.
% Current number of equations to process: 415
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [480]
% quotient(product(eta(A),B),difference(t(eta(A),B),B)) ->
% t(eta(A),product(eta(A),B))
% Current number of equations to process: 414
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [481]
% a(A,difference(eta(B),difference(B,j(C))),D) -> a(A,quotient(i(B),i(i(C))),D)
% Current number of equations to process: 413
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [482]
% a(difference(eta(A),difference(A,j(B))),C,D) -> a(quotient(i(A),i(i(B))),C,D)
% Current number of equations to process: 412
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [483]
% quotient(t(eta(quotient(i(A),i(i(B)))),product(B,eta(quotient(i(A),i(i(B)))))),
% difference(product(product(B,A),C),B)) ->
% product(i(quotient(i(A),i(i(B)))),C)
% Current number of equations to process: 411
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [484]
% quotient(t(eta(j(A)),product(x1,eta(j(A)))),difference(eta(j(A)),x1)) ->
% quotient(quotient(quotient(t(eta(A),product(x1,eta(A))),difference(eta(j(A)),x1)),A),
% j(A))
% Current number of equations to process: 410
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [485] t(c(A,B),product(C,product(D,c(A,B)))) <-> product(c(A,B),product(C,D))
% Current number of equations to process: 409
% Current number of ordered equations: 1
% Current number of rules: 354
% New rule produced :
% [486] product(c(A,B),product(C,D)) <-> t(c(A,B),product(C,product(D,c(A,B))))
% Rule
% [169]
% product(c(A,B),product(B,A)) -> product(A,product(B,c(c(A,B),product(B,A))))
% collapsed.
% Current number of equations to process: 410
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [487]
% quotient(product(i(A),product(j(A),j(A))),j(A)) -> t(i(A),quotient(j(A),A))
% Current number of equations to process: 409
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [488]
% quotient(quotient(product(eta(A),B),quotient(difference(product(eta(B),C),B),B)),C)
% -> difference(A,j(quotient(j(B),A)))
% Current number of equations to process: 408
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [489]
% quotient(quotient(product(eta(A),B),difference(quotient(t(eta(B),product(x1,
% eta(B))),
% difference(product(C,D),x1)),B)),D)
% <-> quotient(product(eta(A),B),difference(product(eta(B),C),B))
% Current number of equations to process: 407
% Current number of ordered equations: 1
% Current number of rules: 357
% New rule produced :
% [490]
% quotient(product(eta(A),B),difference(product(eta(B),C),B)) <->
% quotient(quotient(product(eta(A),B),difference(quotient(t(eta(B),product(x1,
% eta(B))),
% difference(product(C,D),x1)),B)),D)
% Current number of equations to process: 407
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [491]
% quotient(A,product(difference(B,A),B)) ->
% t(product(difference(B,A),B),c(B,difference(B,A)))
% Current number of equations to process: 406
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced :
% [492]
% quotient(A,product(B,quotient(A,B))) ->
% t(product(B,quotient(A,B)),c(quotient(A,B),B))
% Current number of equations to process: 405
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [493]
% difference(eta(A),quotient(product(eta(A),B),quotient(difference(C,B),B)))
% <-> product(B,C)
% Current number of equations to process: 404
% Current number of ordered equations: 1
% Current number of rules: 361
% Rule [485]
% t(c(A,B),product(C,product(D,c(A,B)))) <-> product(c(A,B),product(C,D)) is composed into
% [485]
% t(c(A,B),product(C,product(D,c(A,B)))) <->
% difference(eta(A),quotient(difference(eta(A),quotient(product(eta(A),eta(A)),
% quotient(difference(c(A,B),
% eta(A)),eta(A)))),
% quotient(difference(product(C,D),c(A,B)),c(A,B))))
% Rule [444] t(a(A,B,C),product(D,a(A,B,C))) <-> product(a(A,B,C),D) is composed into
% [444]
% t(a(A,B,C),product(D,a(A,B,C))) ->
% difference(eta(A),quotient(difference(eta(A),quotient(product(eta(A),eta(A)),
% quotient(difference(a(A,B,C),
% eta(A)),eta(A)))),
% quotient(difference(D,a(A,B,C)),a(A,B,C))))
% Rule [442]
% t(A,quotient(t(eta(B),product(x1,eta(B))),difference(product(C,A),x1)))
% <-> difference(A,product(product(A,A),product(eta(B),C))) is composed into
% [442]
% t(A,quotient(t(eta(B),product(x1,eta(B))),difference(product(C,A),x1))) <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(product(
% eta(A),
% eta(A)),
% quotient(difference(
% product(A,A),
% eta(A)),
% eta(A)))),quotient(
% difference(
% product(
% eta(B),C),
% product(A,A)),
% product(A,A)))))
% Rule [415] t(A,t(A,product(B,A))) <-> quotient(product(product(A,A),B),A) is composed into
% [415]
% t(A,t(A,product(B,A))) <->
% quotient(difference(eta(A),quotient(difference(eta(A),quotient(product(
% eta(A),
% eta(A)),
% quotient(difference(
% product(A,A),
% eta(A)),
% eta(A)))),quotient(
% difference(B,
% product(A,A)),
% product(A,A)))),A)
% Rule [399] t(c(A,B),product(C,c(A,B))) <-> product(c(A,B),C) is composed into
% [399]
% t(c(A,B),product(C,c(A,B))) <->
% difference(eta(A),quotient(difference(eta(A),quotient(product(eta(A),eta(A)),
% quotient(difference(c(A,B),
% eta(A)),eta(A)))),
% quotient(difference(C,c(A,B)),c(A,B))))
% Rule [397] product(A,a(B,C,D)) <-> t(A,product(a(B,C,D),A)) is composed into
% [397]
% product(A,a(B,C,D)) ->
% t(A,difference(eta(x1),quotient(difference(eta(x1),quotient(product(eta(x1),
% eta(x1)),
% quotient(difference(
% a(B,C,D),
% eta(x1)),
% eta(x1)))),quotient(
% difference(A,
% a(B,C,D)),
% a(B,C,D)))))
% Rule [394] product(A,t(A,product(B,A))) <-> product(product(A,A),B) is composed into
% [394]
% product(A,t(A,product(B,A))) <->
% difference(eta(A),quotient(difference(eta(A),quotient(product(eta(A),eta(A)),
% quotient(difference(product(A,A),
% eta(A)),eta(A)))),
% quotient(difference(B,product(A,A)),product(A,A))))
% Rule [393] product(A,c(B,C)) <-> t(A,product(c(B,C),A)) is composed into
% [393]
% product(A,c(B,C)) <->
% t(A,difference(eta(x1),quotient(difference(eta(x1),quotient(product(eta(x1),
% eta(x1)),
% quotient(difference(
% c(B,C),eta(x1)),
% eta(x1)))),quotient(
% difference(A,
% c(B,C)),
% c(B,C)))))
% Rule [389]
% t(eta(A),product(B,product(C,eta(A)))) <->
% product(t(eta(A),B),product(eta(A),C)) is composed into [389]
% t(eta(A),
% product(B,
% product(C,
% eta(A)))) <->
% difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% product(
% eta(A),
% eta(A)),
% quotient(
% difference(
% t(
% eta(A),B),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(
% eta(A),C),
% t(
% eta(A),B)),
% t(
% eta(A),B))))
% Rule [385]
% t(A,product(B,product(eta(B),A))) <->
% difference(A,product(product(A,A),j(j(B)))) is composed into [385]
% t(A,
% product(B,
% product(
% eta(B),A)))
% <->
% difference(A,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% product(
% eta(A),
% eta(A)),
% quotient(
% difference(
% product(A,A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% j(j(B)),
% product(A,A)),
% product(A,A)))))
% Rule [312]
% t(A,quotient(product(B,product(C,A)),A)) <->
% quotient(product(product(A,B),C),A) is composed into [312]
% t(A,quotient(
% product(B,
% product(C,A)),A))
% <->
% quotient(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% product(
% eta(A),
% eta(A)),
% quotient(
% difference(
% product(A,B),
% eta(A)),
% eta(A)))),
% quotient(
% difference(C,
% product(A,B)),
% product(A,B)))),A)
% Rule [267]
% difference(product(A,j(B)),product(A,quotient(j(B),B))) <->
% quotient(quotient(product(i(B),product(A,j(B))),j(B)),A) is composed into
% [267]
% difference(product(A,j(B)),product(A,quotient(j(B),B))) <->
% quotient(quotient(difference(eta(x1),quotient(difference(eta(x1),quotient(
% product(
% eta(x1),
% eta(x1)),
% quotient(
% difference(
% i(B),
% eta(x1)),
% eta(x1)))),
% quotient(difference(product(A,j(B)),
% i(B)),i(B)))),j(B)),A)
% Rule [254]
% quotient(product(B,product(C,j(j(A)))),j(j(A))) <->
% difference(j(j(A)),product(product(A,product(eta(A),B)),C)) is composed into
% [254]
% quotient(product(B,product(C,j(j(A)))),j(j(A))) <->
% difference(j(j(A)),difference(eta(A),quotient(difference(eta(A),quotient(
% product(
% eta(A),
% eta(A)),
% quotient(
% difference(
% product(A,
% product(
% eta(A),B)),
% eta(A)),
% eta(A)))),
% quotient(difference(C,product(A,
% product(eta(A),B))),
% product(A,product(eta(A),B))))))
% Rule [252]
% quotient(product(B,product(C,i(i(A)))),i(i(A))) <->
% difference(i(i(A)),quotient(product(eta(A),B),difference(product(
% product(A,B),C),B))) is composed into
% [252]
% quotient(product(B,product(C,i(i(A)))),i(i(A))) <->
% difference(i(i(A)),quotient(product(eta(A),B),difference(difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% product(
% eta(A),
% eta(A)),
% quotient(
% difference(
% product(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,
% product(A,B)),
% product(A,B)))),B)))
% Rule [179]
% quotient(product(A,product(B,product(eta(B),C))),C) <->
% difference(C,product(product(C,A),j(j(B)))) is composed into [179]
% quotient(
% product(A,
% product(B,
% product(
% eta(B),C))),C)
% <->
% difference(C,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% product(
% eta(A),
% eta(A)),
% quotient(
% difference(
% product(C,A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% j(j(B)),
% product(C,A)),
% product(C,A)))))
% Rule [161]
% quotient(quotient(product(A,eta(B)),j(B)),B) <->
% difference(eta(B),product(B,product(j(B),A))) is composed into [161]
% quotient(
% quotient(
% product(A,
% eta(B)),
% j(B)),B)
% <->
% difference(
% eta(B),
% product(B,
% difference(
% eta(x1),
% quotient(
% difference(
% eta(x1),
% quotient(
% product(
% eta(x1),
% eta(x1)),
% quotient(
% difference(
% j(B),
% eta(x1)),
% eta(x1)))),
% quotient(
% difference(A,
% j(B)),
% j(B))))))
% Rule [159]
% quotient(quotient(product(A,B),C),quotient(B,C)) <->
% difference(B,product(quotient(B,C),product(C,A))) is composed into
% [159]
% quotient(quotient(product(A,B),C),quotient(B,C)) <->
% difference(B,difference(eta(x1),quotient(difference(eta(x1),quotient(
% product(eta(x1),
% eta(x1)),
% quotient(
% difference(
% quotient(B,C),
% eta(x1)),
% eta(x1)))),
% quotient(difference(product(C,A),quotient(B,C)),
% quotient(B,C)))))
% Rule [157]
% quotient(quotient(product(A,B),difference(C,B)),C) <->
% difference(B,product(C,product(difference(C,B),A))) is composed into
% [157]
% quotient(quotient(product(A,B),difference(C,B)),C) <->
% difference(B,product(C,difference(eta(x1),quotient(difference(eta(x1),
% quotient(product(eta(x1),
% eta(x1)),
% quotient(difference(
% difference(C,B),
% eta(x1)),
% eta(x1)))),quotient(
% difference(A,
% difference(C,B)),
% difference(C,B))))))
% Rule [155]
% quotient(quotient(product(A,eta(B)),B),i(B)) <->
% difference(eta(B),product(i(B),product(B,A))) is composed into [155]
% quotient(
% quotient(
% product(A,
% eta(B)),B),
% i(B)) <->
% difference(
% eta(B),
% difference(
% eta(x1),
% quotient(
% difference(
% eta(x1),
% quotient(
% product(
% eta(x1),
% eta(x1)),
% quotient(
% difference(
% i(B),
% eta(x1)),
% eta(x1)))),
% quotient(
% difference(
% product(B,A),
% i(B)),
% i(B)))))
% Rule [149]
% product(A,product(B,product(C,c(product(B,C),A)))) <->
% product(product(B,C),A) is composed into [149]
% product(A,product(B,product(C,
% c(product(B,C),A))))
% <->
% difference(eta(x1),quotient(
% difference(
% eta(x1),
% quotient(
% product(
% eta(x1),
% eta(x1)),
% quotient(
% difference(
% product(B,C),
% eta(x1)),
% eta(x1)))),
% quotient(
% difference(A,
% product(B,C)),
% product(B,C))))
% Rule [146]
% product(A,a(C,D,B)) <->
% quotient(A,difference(B,t(a(B,C,D),product(B,a(B,C,D))))) is composed into
% [146]
% product(A,a(C,D,B)) <->
% quotient(A,difference(B,t(a(B,C,D),difference(eta(x1),quotient(product(
% eta(x1),B),
% quotient(difference(
% a(B,C,D),B),B))))))
% Rule [144] a(B,C,A) <-> j(difference(A,t(a(A,B,C),product(A,a(A,B,C))))) is composed into
% [144]
% a(B,C,A) <->
% j(difference(A,t(a(A,B,C),difference(eta(A),quotient(product(eta(A),A),
% quotient(difference(a(A,B,C),A),A))))))
% Rule [141] i(a(A,B,C)) <-> difference(C,t(a(C,A,B),product(C,a(C,A,B)))) is composed into
% [141]
% i(a(A,B,C)) <->
% difference(C,t(a(C,A,B),difference(eta(A),quotient(product(eta(A),C),
% quotient(difference(a(C,A,B),C),C)))))
% Rule [110]
% product(A,quotient(product(B,product(C,A)),A)) <->
% product(product(A,B),C) is composed into [110]
% product(A,quotient(product(B,
% product(C,A)),A))
% <->
% difference(eta(A),quotient(
% difference(
% eta(A),
% quotient(
% product(
% eta(A),
% eta(A)),
% quotient(
% difference(
% product(A,B),
% eta(A)),
% eta(A)))),
% quotient(
% difference(C,
% product(A,B)),
% product(A,B))))
% Rule [81] t(A,product(B,A)) <-> difference(A,product(product(A,A),B)) is composed into
% [81]
% t(A,product(B,A)) <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(product(
% eta(A),
% eta(A)),
% quotient(difference(
% product(A,A),
% eta(A)),
% eta(A)))),quotient(
% difference(B,
% product(A,A)),
% product(A,A)))))
% Rule [24]
% quotient(product(B,product(C,A)),A) <->
% difference(A,product(product(A,B),C)) is composed into [24]
% quotient(
% product(B,
% product(C,A)),A)
% <->
% difference(A,
% difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% product(
% eta(A),
% eta(A)),
% quotient(
% difference(
% product(A,B),
% eta(A)),
% eta(A)))),
% quotient(
% difference(C,
% product(A,B)),
% product(A,B)))))
% New rule produced :
% [494]
% product(B,C) <->
% difference(eta(A),quotient(product(eta(A),B),quotient(difference(C,B),B)))
% Rule [5] product(i(A),A) -> eta(A) collapsed.
% Rule [9] product(quotient(A,B),B) -> A collapsed.
% Rule [13] product(j(A),i(A)) -> quotient(j(A),A) collapsed.
% Rule
% [18]
% product(i(i(A)),B) -> quotient(product(eta(A),B),difference(product(A,B),B))
% collapsed.
% Rule [19] product(j(j(A)),B) -> product(A,product(eta(A),B)) collapsed.
% Rule
% [22]
% product(product(eta(A),B),C) ->
% quotient(product(eta(A),B),difference(product(B,C),B)) collapsed.
% Rule
% [25]
% difference(A,product(product(A,B),C)) <-> quotient(product(B,product(C,A)),A)
% collapsed.
% Rule [26] product(product(A,B),c(C,D)) -> product(A,product(B,c(C,D)))
% collapsed.
% Rule [28] product(product(c(A,B),C),D) -> product(c(A,B),product(C,D))
% collapsed.
% Rule [29] product(product(A,B),a(C,D,E)) -> product(A,product(B,a(C,D,E)))
% collapsed.
% Rule [30] product(t(eta(A),B),t(eta(A),C)) -> t(eta(A),product(B,C))
% collapsed.
% Rule [31] product(product(a(A,B,C),D),E) -> product(a(A,B,C),product(D,E))
% collapsed.
% Rule
% [36]
% product(product(product(quotient(j(A),A),product(A,A)),B),C) ->
% product(product(quotient(j(A),A),product(A,A)),product(B,C)) collapsed.
% Rule [45] product(j(A),A) -> one collapsed.
% Rule [61] product(t(A,B),A) -> product(A,B) collapsed.
% Rule [82] difference(A,product(product(A,A),B)) <-> t(A,product(B,A))
% collapsed.
% Rule
% [101]
% product(i(A),j(j(A))) -> quotient(product(eta(A),x1),difference(eta(A),x1))
% collapsed.
% Rule
% [104]
% product(i(A),product(A,c(B,C))) ->
% quotient(product(eta(A),B),difference(c(B,C),B)) collapsed.
% Rule
% [105]
% product(A,product(j(A),c(B,C))) ->
% quotient(product(eta(A),B),difference(c(B,C),B)) collapsed.
% Rule
% [111]
% product(product(A,B),C) <-> product(A,quotient(product(B,product(C,A)),A))
% collapsed.
% Rule [113] product(D,product(difference(D,A),c(B,C))) -> product(A,c(B,C))
% collapsed.
% Rule [114] product(quotient(A,D),product(D,c(B,C))) -> product(A,c(B,C))
% collapsed.
% Rule [115] quotient(product(A,product(c(B,C),D)),D) -> product(A,c(B,C))
% collapsed.
% Rule [116] quotient(product(c(A,B),product(C,D)),D) -> product(c(A,B),C)
% collapsed.
% Rule
% [117] product(B,product(C,a(A,B,C))) -> difference(A,product(product(A,B),C))
% collapsed.
% Rule [126] product(c(C,D),product(difference(c(C,D),A),B)) -> product(A,B)
% collapsed.
% Rule
% [127]
% product(i(A),product(A,a(B,C,D))) ->
% quotient(product(eta(A),B),difference(a(B,C,D),B)) collapsed.
% Rule
% [128]
% product(A,product(j(A),a(B,C,D))) ->
% quotient(product(eta(A),B),difference(a(B,C,D),B)) collapsed.
% Rule
% [130] product(quotient(j(A),A),c(B,C)) -> product(j(A),product(i(A),c(B,C)))
% collapsed.
% Rule [131] product(c(A,B),product(j(c(A,B)),C)) -> product(eta(c(A,B)),C)
% collapsed.
% Rule
% [132] product(E,product(difference(E,A),a(B,C,D))) -> product(A,a(B,C,D))
% collapsed.
% Rule [133] product(quotient(A,E),product(E,a(B,C,D))) -> product(A,a(B,C,D))
% collapsed.
% Rule [134] quotient(product(A,product(a(B,C,D),E)),E) -> product(A,a(B,C,D))
% collapsed.
% Rule [137] quotient(product(a(A,B,C),product(D,E)),E) -> product(a(A,B,C),D)
% collapsed.
% Rule [140] product(a(A,B,one),a(one,A,B)) -> one collapsed.
% Rule
% [150]
% product(product(B,C),A) <->
% product(A,product(B,product(C,c(product(B,C),A)))) collapsed.
% Rule [151] difference(product(c(A,B),C),product(c(A,B),product(C,D))) -> D
% collapsed.
% Rule [152] product(c(B,C),product(D,difference(product(c(B,C),D),A))) -> A
% collapsed.
% Rule
% [153] product(A,product(B,product(C,a(j(C),A,B)))) -> product(product(A,B),C)
% collapsed.
% Rule
% [154]
% difference(eta(B),product(i(B),product(B,A))) <->
% quotient(quotient(product(A,eta(B)),B),i(B)) collapsed.
% Rule
% [156]
% difference(B,product(C,product(difference(C,B),A))) <->
% quotient(quotient(product(A,B),difference(C,B)),C) collapsed.
% Rule
% [158]
% difference(B,product(quotient(B,C),product(C,A))) <->
% quotient(quotient(product(A,B),C),quotient(B,C)) collapsed.
% Rule
% [160]
% difference(eta(B),product(B,product(j(B),A))) <->
% quotient(quotient(product(A,eta(B)),j(B)),B) collapsed.
% Rule
% [165]
% product(quotient(quotient(i(B),i(i(A))),i(i(eta(A)))),i(i(i(i(A))))) -> i(B)
% collapsed.
% Rule
% [168]
% product(j(A),product(B,product(C,a(B,C,A)))) -> product(product(j(A),B),C)
% collapsed.
% Rule
% [172]
% product(quotient(quotient(i(eta(A)),i(i(B))),i(i(A))),i(quotient(i(B),
% i(i(A))))) ->
% i(eta(A)) collapsed.
% Rule
% [173]
% difference(C,product(product(C,A),i(i(B)))) <->
% quotient(product(A,quotient(product(eta(B),B),difference(product(B,C),B))),C)
% collapsed.
% Rule
% [174]
% difference(C,product(product(C,i(i(A))),B)) <->
% quotient(quotient(product(eta(A),B),difference(product(A,product(B,C)),B)),C)
% collapsed.
% Rule
% [177]
% difference(C,product(product(C,A),j(j(B)))) <->
% quotient(product(A,product(B,product(eta(B),C))),C) collapsed.
% Rule
% [178]
% difference(C,product(product(C,j(j(A))),B)) <->
% quotient(product(A,quotient(product(eta(A),B),difference(product(B,C),B))),C)
% collapsed.
% Rule
% [183]
% difference(j(A),product(quotient(j(A),A),B)) <->
% quotient(product(i(A),product(B,j(A))),j(A)) collapsed.
% Rule
% [184]
% quotient(product(i(A),product(B,j(A))),j(A)) <->
% difference(j(A),product(quotient(j(A),A),B)) collapsed.
% Rule
% [186]
% product(B,product(A,product(c(A,B),c(C,D)))) -> product(A,product(B,c(C,D)))
% collapsed.
% Rule
% [187]
% product(quotient(j(A),A),a(B,C,D)) -> product(j(A),product(i(A),a(B,C,D)))
% collapsed.
% Rule
% [188] product(a(C,D,E),product(difference(a(C,D,E),A),B)) -> product(A,B)
% collapsed.
% Rule
% [190]
% i(difference(A,product(product(A,B),C))) <->
% product(quotient(i(C),i(quotient(i(B),i(i(A))))),i(i(A))) collapsed.
% Rule
% [191]
% product(quotient(i(C),i(quotient(i(B),i(i(A))))),i(i(A))) <->
% i(difference(A,product(product(A,B),C))) collapsed.
% Rule
% [192]
% product(difference(product(A,B),product(A,product(B,C))),A) ->
% quotient(product(C,product(A,B)),B) collapsed.
% Rule
% [197]
% product(quotient(quotient(i(C),i(i(B))),i(i(eta(A)))),i(quotient(i(B),
% i(i(eta(A)))))) ->
% i(C) collapsed.
% Rule
% [198]
% difference(D,product(product(D,A),product(eta(B),C))) <->
% quotient(product(A,quotient(product(eta(B),x1),difference(product(C,D),x1))),D)
% collapsed.
% Rule
% [199]
% difference(D,product(product(D,product(eta(A),B)),C)) <->
% quotient(quotient(product(eta(A),B),difference(product(B,product(C,D)),B)),D)
% collapsed.
% Rule
% [206]
% product(A,product(i(B),product(C,a(A,j(B),C)))) -> product(product(A,i(B)),C)
% collapsed.
% Rule
% [207]
% product(product(i(A),B),C) ->
% product(i(A),difference(j(A),product(product(j(A),B),C))) collapsed.
% Rule
% [208]
% product(i(A),c(i(i(B)),quotient(i(A),i(i(B))))) <->
% quotient(product(eta(B),B),difference(product(B,quotient(i(A),i(i(B)))),B))
% collapsed.
% Rule
% [213] difference(product(a(A,B,C),D),product(a(A,B,C),product(D,E))) -> E
% collapsed.
% Rule
% [214] product(a(B,C,D),product(E,difference(product(a(B,C,D),E),A))) -> A
% collapsed.
% Rule
% [215] product(a(A,B,C),product(j(a(A,B,C)),D)) -> product(eta(a(A,B,C)),D)
% collapsed.
% Rule
% [230]
% product(quotient(quotient(i(c(C,D)),i(i(B))),i(i(A))),i(quotient(i(B),
% i(i(A))))) ->
% i(c(C,D)) collapsed.
% Rule
% [234]
% product(B,product(A,product(c(A,B),a(C,D,E)))) ->
% product(A,product(B,a(C,D,E))) collapsed.
% Rule
% [239]
% product(product(A,B),product(c(C,D),c(E,V_5))) ->
% product(A,product(B,product(c(C,D),c(E,V_5)))) collapsed.
% Rule
% [240]
% quotient(product(c(A,B),product(C,D)),product(c(A,B),C)) ->
% t(product(c(A,B),C),D) collapsed.
% Rule
% [241]
% difference(E,product(product(E,A),product(c(B,C),D))) <->
% quotient(product(A,product(c(B,C),product(D,E))),E) collapsed.
% Rule
% [242]
% difference(E,product(product(E,product(c(A,B),C)),D)) <->
% quotient(product(c(A,B),product(C,product(D,E))),E) collapsed.
% Rule
% [243]
% quotient(product(A,product(c(B,C),product(D,E))),E) <->
% difference(E,product(product(E,A),product(c(B,C),D))) collapsed.
% Rule
% [244]
% quotient(product(c(A,B),product(C,product(D,E))),E) <->
% difference(E,product(product(E,product(c(A,B),C)),D)) collapsed.
% Rule
% [246] product(i(t(eta(A),product(B,C))),i(i(t(eta(A),B)))) -> i(t(eta(A),C))
% collapsed.
% Rule
% [250]
% product(quotient(quotient(i(D),i(i(C))),i(i(c(A,B)))),i(quotient(i(C),
% i(i(c(A,B)))))) ->
% i(D) collapsed.
% Rule
% [253]
% difference(j(j(A)),product(product(A,product(eta(A),B)),C)) <->
% quotient(product(B,product(C,j(j(A)))),j(j(A))) collapsed.
% Rule
% [257]
% product(quotient(quotient(i(a(C,D,E)),i(i(B))),i(i(A))),i(quotient(i(B),
% i(i(A))))) ->
% i(a(C,D,E)) collapsed.
% Rule
% [261]
% product(A,product(B,product(C,product(D,a(A,B,product(C,D)))))) ->
% product(product(A,B),product(C,D)) collapsed.
% Rule
% [268]
% quotient(quotient(product(i(B),product(A,j(B))),j(B)),A) <->
% difference(product(A,j(B)),product(A,quotient(j(B),B))) collapsed.
% Rule [279] product(B,product(i(B),A)) -> quotient(quotient(A,i(B)),B)
% collapsed.
% Rule [283] quotient(product(i(A),product(B,A)),A) -> difference(A,B)
% collapsed.
% Rule [290] product(j(B),product(B,A)) -> quotient(quotient(A,B),j(B))
% collapsed.
% Rule [304] product(i(eta(A)),t(eta(A),B)) -> t(eta(A),product(j(eta(A)),B))
% collapsed.
% Rule
% [313]
% quotient(product(product(A,B),C),A) <->
% t(A,quotient(product(B,product(C,A)),A)) collapsed.
% Rule
% [314]
% difference(B,product(product(B,A),t(B,C))) ->
% quotient(product(A,product(B,C)),B) collapsed.
% Rule [315] product(t(A,B),product(A,c(C,D))) -> product(A,product(B,c(C,D)))
% collapsed.
% Rule
% [321]
% difference(A,product(difference(B,product(A,B)),C)) -> product(c(A,B),C)
% collapsed.
% Rule
% [324]
% difference(C,product(product(A,B),C)) ->
% product(A,product(B,c(product(A,B),C))) collapsed.
% Rule
% [339]
% product(quotient(i(A),i(i(B))),product(B,A)) -> eta(quotient(i(A),i(i(B))))
% collapsed.
% Rule
% [349]
% product(difference(A,product(eta(B),A)),C) ->
% quotient(product(eta(B),B),difference(product(c(eta(B),A),C),B)) collapsed.
% Rule [363] product(i(A),eta(A)) -> j(A) collapsed.
% Rule
% [373] product(i(A),difference(A,j(quotient(quotient(j(A),A),A)))) -> j(j(A))
% collapsed.
% Rule
% [374]
% quotient(product(product(A,B),C),quotient(product(B,product(C,A)),A)) -> A
% collapsed.
% Rule
% [375]
% difference(difference(A,product(product(A,B),C)),product(B,product(C,A))) ->
% A collapsed.
% Rule
% [376]
% t(eta(B),product(difference(eta(B),A),C)) ->
% product(quotient(A,eta(B)),t(eta(B),C)) collapsed.
% Rule
% [378]
% product(difference(A,product(B,A)),c(C,D)) ->
% product(B,product(c(B,A),c(C,D))) collapsed.
% Rule
% [383]
% product(j(A),eta(A)) ->
% difference(A,quotient(product(eta(A),x1),difference(eta(A),x1))) collapsed.
% Rule [384] quotient(product(i(A),product(eta(A),B)),B) -> j(A) collapsed.
% Rule
% [386]
% difference(A,product(product(A,A),j(j(B)))) <->
% t(A,product(B,product(eta(B),A))) collapsed.
% Rule
% [388]
% difference(A,product(product(A,A),i(i(B)))) <->
% t(A,quotient(product(eta(B),B),difference(product(B,A),B))) collapsed.
% Rule
% [390]
% t(eta(A),product(product(B,eta(A)),C)) ->
% quotient(product(eta(A),B),difference(product(B,t(eta(A),C)),B)) collapsed.
% Rule
% [391]
% product(t(eta(A),B),product(eta(A),C)) <->
% t(eta(A),product(B,product(C,eta(A)))) collapsed.
% Rule [392] t(A,product(c(B,C),A)) <-> product(A,c(B,C)) collapsed.
% Rule [395] product(product(A,A),B) <-> product(A,t(A,product(B,A)))
% collapsed.
% Rule [396] t(A,product(a(B,C,D),A)) <-> product(A,a(B,C,D)) collapsed.
% Rule [400] product(c(A,B),C) <-> t(c(A,B),product(C,c(A,B))) collapsed.
% Rule [402] product(A,a(A,one,one)) -> A collapsed.
% Rule [404] product(A,a(B,A,one)) -> A collapsed.
% Rule [406] product(A,a(B,one,A)) -> A collapsed.
% Rule [407] product(difference(A,B),eta(A)) -> difference(A,product(B,eta(A)))
% collapsed.
% Rule [414] product(quotient(A,i(i(B))),eta(B)) -> quotient(A,B) collapsed.
% Rule [416] quotient(product(product(A,A),B),A) <-> t(A,t(A,product(B,A)))
% collapsed.
% Rule [417] quotient(product(product(A,A),B),t(A,product(B,A))) -> A
% collapsed.
% Rule [419] product(A,product(i(B),a(A,j(B),one))) -> product(A,i(B))
% collapsed.
% Rule
% [421] quotient(product(eta(A),B),difference(product(j(eta(A)),B),B)) -> B
% collapsed.
% Rule
% [429] quotient(product(difference(A,B),A),B) -> t(B,c(difference(A,B),A))
% collapsed.
% Rule
% [438] product(t(A,B),product(A,a(C,D,E))) -> product(A,product(B,a(C,D,E)))
% collapsed.
% Rule
% [443]
% difference(A,product(product(A,A),product(eta(B),C))) <->
% t(A,quotient(t(eta(B),product(x1,eta(B))),difference(product(C,A),x1)))
% collapsed.
% Rule [445] product(a(A,B,C),D) <-> t(a(A,B,C),product(D,a(A,B,C))) collapsed.
% Rule
% [446] product(a(A,B,C),difference(C,t(a(C,A,B),product(C,a(C,A,B))))) -> one
% collapsed.
% Rule [453] product(product(A,B),eta(C)) -> product(A,product(B,eta(C)))
% collapsed.
% Rule [454] product(quotient(A,product(C,eta(B))),C) -> quotient(A,eta(B))
% collapsed.
% Rule
% [460]
% quotient(product(t(eta(A),B),C),eta(A)) ->
% t(eta(A),product(B,difference(eta(A),C))) collapsed.
% Rule
% [466]
% product(t(product(A,eta(B)),C),A) ->
% quotient(product(product(A,eta(B)),C),eta(B)) collapsed.
% Rule
% [468]
% quotient(product(j(A),B),A) -> difference(A,quotient(product(eta(A),B),A))
% collapsed.
% Rule
% [469]
% product(i(A),difference(B,product(A,B))) ->
% quotient(i(i(A)),difference(c(A,B),A)) collapsed.
% Rule
% [470]
% quotient(product(difference(A,B),C),A) ->
% difference(A,product(B,quotient(C,A))) collapsed.
% Rule
% [471]
% product(product(A,B),quotient(C,A)) -> product(A,quotient(product(B,C),A))
% collapsed.
% Rule [472] product(product(A,c(B,C)),D) -> product(A,product(c(B,C),D))
% collapsed.
% Rule
% [473]
% product(difference(A,product(B,C)),A) ->
% product(difference(A,B),product(C,A)) collapsed.
% Rule
% [474]
% product(C,product(difference(product(A,C),B),A)) ->
% product(difference(A,B),A) collapsed.
% Rule
% [479]
% quotient(product(eta(C),B),difference(product(difference(eta(C),A),B),B)) ->
% product(A,B) collapsed.
% Rule
% [483]
% quotient(t(eta(quotient(i(A),i(i(B)))),product(B,eta(quotient(i(A),i(i(B)))))),
% difference(product(product(B,A),C),B)) ->
% product(i(quotient(i(A),i(i(B)))),C) collapsed.
% Rule
% [486] product(c(A,B),product(C,D)) <-> t(c(A,B),product(C,product(D,c(A,B))))
% collapsed.
% Rule
% [487]
% quotient(product(i(A),product(j(A),j(A))),j(A)) -> t(i(A),quotient(j(A),A))
% collapsed.
% Rule
% [491]
% quotient(A,product(difference(B,A),B)) ->
% t(product(difference(B,A),B),c(B,difference(B,A))) collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% j(difference(x1,difference(eta(x1),quotient(difference(eta(x1),quotient(
% quotient(
% i(i(x1)),
% difference(
% eta(x1),x1)),
% quotient(
% difference(
% j(difference(x1,
% t(a(x1,x1,x0),
% difference(
% eta(x1),
% quotient(
% i(i(x1)),
% quotient(
% difference(
% a(x1,x1,x0),x1),x1)))))),
% eta(x1)),
% eta(x1)))),
% quotient(difference(x1,j(difference(x1,
% t(a(x1,x1,x0),
% difference(
% eta(x1),quotient(
% i(
% i(x1)),
% quotient(
% difference(
% a(x1,x1,x0),x1),x1))))))),
% j(difference(x1,t(a(x1,x1,x0),difference(
% eta(x1),
% quotient(
% i(i(x1)),
% quotient(
% difference(
% a(x1,x1,x0),x1),x1))))))))))) =
% a(x1,x1,x0)
%
% Current number of equations to process: 537
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [495]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(A,eta(A)))),quotient(
% difference(A,
% i(A)),
% i(A)))) ->
% eta(A)
% Current number of equations to process: 523
% Current number of ordered equations: 20
% Current number of rules: 225
% New rule produced :
% [496]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(j(A),eta(A)),
% eta(A)))),quotient(difference(
% i(A),
% j(A)),
% j(A)))) ->
% quotient(j(A),A)
% Current number of equations to process: 523
% Current number of ordered equations: 19
% Current number of rules: 226
% New rule produced :
% [497]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(quotient(A,B),
% eta(A)),eta(A)))),
% quotient(difference(B,quotient(A,B)),quotient(A,B)))) -> A
% Current number of equations to process: 523
% Current number of ordered equations: 18
% Current number of rules: 227
% Rule [440]
% product(A,quotient(product(eta(A),B),difference(c(j(j(A)),B),B))) ->
% difference(B,product(A,product(eta(A),B))) is composed into [440]
% product(A,
% quotient(
% product(
% eta(A),B),
% difference(
% c(j(j(A)),B),B)))
% ->
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% j(j(A)),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A))))))
% Rule [254]
% quotient(product(B,product(C,j(j(A)))),j(j(A))) <->
% difference(j(j(A)),difference(eta(A),quotient(difference(eta(A),
% quotient(product(eta(A),
% eta(A)),quotient(
% difference(
% product(A,
% product(
% eta(A),B)),
% eta(A)),
% eta(A)))),
% quotient(difference(C,product(A,
% product(
% eta(A),B))),
% product(A,product(eta(A),B)))))) is composed into
% [254]
% quotient(product(B,product(C,j(j(A)))),j(j(A))) <->
% difference(j(j(A)),difference(eta(A),quotient(difference(eta(A),quotient(
% product(
% eta(A),
% eta(A)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% j(j(A)),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A))))),
% eta(A)),
% eta(A)))),
% quotient(difference(C,difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% j(j(A)),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A)))))),
% difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% j(j(A)),
% eta(A)),
% eta(A)))),
% quotient(difference(B,
% j(j(A))),
% j(j(A)))))))))
% New rule produced :
% [498]
% product(A,product(eta(A),B)) ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(j(j(A)),
% eta(A)),eta(A)))),
% quotient(difference(B,j(j(A))),j(j(A)))))
% Rule [79] quotient(product(A,product(eta(A),B)),B) -> j(j(A)) collapsed.
% Rule [120] quotient(product(A,product(eta(A),B)),j(j(A))) -> t(j(j(A)),B)
% collapsed.
% Rule
% [179]
% quotient(product(A,product(B,product(eta(B),C))),C) <->
% difference(C,difference(eta(A),quotient(difference(eta(A),quotient(product(
% eta(A),
% eta(A)),
% quotient(difference(
% product(C,A),
% eta(A)),
% eta(A)))),quotient(
% difference(
% j(
% j(B)),
% product(C,A)),
% product(C,A)))))
% collapsed.
% Rule
% [385]
% t(A,product(B,product(eta(B),A))) <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(product(
% eta(A),
% eta(A)),
% quotient(difference(
% product(A,A),
% eta(A)),
% eta(A)))),quotient(
% difference(
% j(
% j(B)),
% product(A,A)),
% product(A,A)))))
% collapsed.
% Current number of equations to process: 527
% Current number of ordered equations: 17
% Current number of rules: 224
% New rule produced :
% [499]
% quotient(product(eta(A),B),difference(product(A,B),B)) ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(i(A),eta(A)))),
% quotient(difference(B,i(i(A))),i(i(A)))))
% Rule
% [439]
% difference(B,quotient(product(eta(A),B),difference(product(A,B),B))) ->
% quotient(product(eta(A),B),difference(product(A,c(i(i(A)),B)),B)) collapsed.
% Rule
% [476]
% difference(i(i(A)),quotient(product(eta(A),B),difference(product(A,B),B))) ->
% B collapsed.
% Current number of equations to process: 529
% Current number of ordered equations: 16
% Current number of rules: 223
% New rule produced :
% [500]
% quotient(product(B,product(C,A)),A) <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% t(
% eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(difference(
% product(A,B),
% eta(A)),
% eta(A)))),quotient(
% difference(C,
% product(A,B)),
% product(A,B)))))
% Current number of equations to process: 2327
% Current number of ordered equations: 2946
% Current number of rules: 224
% New rule produced :
% [501]
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% t(
% eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(difference(
% product(A,B),
% eta(A)),
% eta(A)))),quotient(
% difference(C,
% product(A,B)),
% product(A,B)))))
% <-> quotient(product(B,product(C,A)),A)
% Current number of equations to process: 2327
% Current number of ordered equations: 2945
% Current number of rules: 225
% New rule produced :
% [502]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(product(A,B),
% eta(A)),eta(A)))),
% quotient(difference(c(C,D),product(A,B)),product(A,B))))
% <-> product(A,product(B,c(C,D)))
% Current number of equations to process: 2327
% Current number of ordered equations: 2944
% Current number of rules: 226
% New rule produced :
% [503]
% product(A,product(B,c(C,D))) <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(product(A,B),
% eta(A)),eta(A)))),
% quotient(difference(c(C,D),product(A,B)),product(A,B))))
% Current number of equations to process: 2327
% Current number of ordered equations: 2943
% Current number of rules: 227
% New rule produced :
% [504]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(product(A,B),
% eta(A)),eta(A)))),
% quotient(difference(a(C,D,E),product(A,B)),product(A,B))))
% <->
% product(A,t(B,difference(eta(x1),quotient(difference(eta(x1),quotient(
% quotient(
% i(i(x1)),
% difference(
% eta(x1),x1)),
% quotient(
% difference(
% a(C,D,E),
% eta(x1)),
% eta(x1)))),
% quotient(difference(B,a(C,D,E)),a(C,D,E))))))
% Current number of equations to process: 2463
% Current number of ordered equations: 3067
% Current number of rules: 228
% New rule produced :
% [505]
% product(A,t(B,difference(eta(x1),quotient(difference(eta(x1),quotient(
% quotient(
% i(i(x1)),
% difference(
% eta(x1),x1)),
% quotient(
% difference(
% a(C,D,E),
% eta(x1)),
% eta(x1)))),
% quotient(difference(B,a(C,D,E)),a(C,D,E))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(product(A,B),
% eta(A)),eta(A)))),
% quotient(difference(a(C,D,E),product(A,B)),product(A,B))))
% Current number of equations to process: 2463
% Current number of ordered equations: 3066
% Current number of rules: 229
% New rule produced :
% [506]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(quotient(difference(B,
% eta(A)),
% eta(A)),eta(A)))),
% quotient(difference(C,product(eta(A),B)),product(eta(A),B))))
% -> quotient(product(eta(A),B),quotient(difference(C,B),B))
% Current number of equations to process: 2463
% Current number of ordered equations: 3065
% Current number of rules: 230
% Rule [480]
% quotient(product(eta(A),B),difference(t(eta(A),B),B)) ->
% t(eta(A),product(eta(A),B)) is composed into [480]
% quotient(product(eta(A),B),
% difference(t(eta(A),B),B))
% ->
% difference(eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% t(
% eta(A),
% eta(A)),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% t(
% eta(A),B),
% t(
% eta(A),
% eta(A))),
% t(
% eta(A),
% eta(A)))))
% New rule produced :
% [507]
% t(eta(A),product(B,C)) <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(t(eta(A),B),
% eta(A)),eta(A)))),
% quotient(difference(t(eta(A),C),t(eta(A),B)),t(eta(A),B))))
% Current number of equations to process: 2634
% Current number of ordered equations: 3158
% Current number of rules: 231
% New rule produced :
% [508]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(t(eta(A),B),
% eta(A)),eta(A)))),
% quotient(difference(t(eta(A),C),t(eta(A),B)),t(eta(A),B))))
% <-> t(eta(A),product(B,C))
% Current number of equations to process: 2621
% Current number of ordered equations: 3170
% Current number of rules: 232
% New rule produced :
% [509]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(a(A,B,C),
% eta(A)),eta(A)))),
% quotient(difference(difference(C,t(a(C,A,B),difference(
% eta(A),
% quotient(
% product(
% eta(A),C),
% quotient(
% difference(
% a(C,A,B),C),C))))),
% a(A,B,C)),a(A,B,C)))) -> one
% Current number of equations to process: 2621
% Current number of ordered equations: 3169
% Current number of rules: 233
% New rule produced :
% [510]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(c(A,B),
% eta(A)),eta(A)))),
% quotient(difference(product(C,D),c(A,B)),c(A,B)))) <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(
% difference(C,
% c(A,B)),
% c(A,B)))),
% eta(A)),eta(A)))),
% quotient(difference(D,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,
% c(A,B)),
% c(A,B))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,c(A,B)),c(A,B)))))))
% Current number of equations to process: 280
% Current number of ordered equations: 6820
% Current number of rules: 234
% New rule produced :
% [511]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(
% difference(C,
% c(A,B)),
% c(A,B)))),
% eta(A)),eta(A)))),
% quotient(difference(D,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,
% c(A,B)),
% c(A,B))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,c(A,B)),c(A,B)))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(c(A,B),
% eta(A)),eta(A)))),
% quotient(difference(product(C,D),c(A,B)),c(A,B))))
% Current number of equations to process: 274
% Current number of ordered equations: 6828
% Current number of rules: 235
% New rule produced :
% [512]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(a(A,B,C),
% eta(A)),eta(A)))),
% quotient(difference(product(D,E),a(A,B,C)),a(A,B,C)))) <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(
% difference(D,
% a(A,B,C)),
% a(A,B,C)))),
% eta(A)),eta(A)))),
% quotient(difference(E,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,
% a(A,B,C)),
% a(A,B,C))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,a(A,B,C)),a(A,B,C)))))))
% Current number of equations to process: 302
% Current number of ordered equations: 6877
% Current number of rules: 236
% New rule produced :
% [513]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(
% difference(D,
% a(A,B,C)),
% a(A,B,C)))),
% eta(A)),eta(A)))),
% quotient(difference(E,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,
% a(A,B,C)),
% a(A,B,C))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,a(A,B,C)),a(A,B,C)))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(a(A,B,C),
% eta(A)),eta(A)))),
% quotient(difference(product(D,E),a(A,B,C)),a(A,B,C))))
% Current number of equations to process: 302
% Current number of ordered equations: 6876
% Current number of rules: 237
% New rule produced :
% [514]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))))),
% eta(A)),eta(A)))),
% quotient(difference(C,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(difference(B,difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(j(A),A))))))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),eta(A)))),
% quotient(difference(product(B,C),difference(eta(A),
% quotient(difference(
% eta(A),quotient(
% quotient(
% t(
% eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(j(A),A))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(product(A,A),
% quotient(j(A),A)),quotient(
% j(A),A)))))))
% Current number of equations to process: 10
% Current number of ordered equations: 7855
% Current number of rules: 238
% New rule produced :
% [515]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),eta(A)))),
% quotient(difference(product(B,C),difference(eta(A),
% quotient(difference(
% eta(A),quotient(
% quotient(
% t(
% eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(j(A),A))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(product(A,A),
% quotient(j(A),A)),quotient(
% j(A),A)))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))))),
% eta(A)),eta(A)))),
% quotient(difference(C,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(difference(B,difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(j(A),A))))))))))
% Current number of equations to process: 10
% Current number of ordered equations: 7854
% Current number of rules: 239
% New rule produced : [516] c(A,one) -> one
% Rule [423] t(A,c(A,one)) -> one collapsed.
% Current number of equations to process: 14
% Current number of ordered equations: 7839
% Current number of rules: 239
% New rule produced : [517] c(A,A) -> one
% Rule [448] t(product(A,A),c(A,A)) -> one collapsed.
% Current number of equations to process: 14
% Current number of ordered equations: 7824
% Current number of rules: 239
% Rule [371] j(t(A,eta(A))) -> eta(j(j(A))) is composed into [371]
% j(t(A,eta(A))) ->
% eta(A)
% New rule produced : [518] eta(j(A)) -> eta(A)
% Rule
% [484]
% quotient(t(eta(j(A)),product(x1,eta(j(A)))),difference(eta(j(A)),x1)) ->
% quotient(quotient(quotient(t(eta(A),product(x1,eta(A))),difference(eta(j(A)),x1)),A),
% j(A)) collapsed.
% Current number of equations to process: 320
% Current number of ordered equations: 7467
% Current number of rules: 239
% Rule [335] quotient(A,i(i(A))) -> i(eta(A)) is composed into [335]
% quotient(A,
% i(i(A))) ->
% j(eta(A))
% New rule produced : [519] i(eta(A)) -> j(eta(A))
% Rule [280] quotient(quotient(A,i(eta(B))),eta(B)) -> A collapsed.
% Rule [350] quotient(quotient(i(A),i(i(eta(B)))),i(i(B))) -> quotient(i(A),B)
% collapsed.
% Rule [382] quotient(A,i(eta(A))) -> j(j(A)) collapsed.
% Rule
% [434]
% quotient(product(eta(A),B),difference(difference(eta(quotient(i(eta(A)),
% i(i(B)))),difference(
% product(B,
% eta(A)),
% j(A))),B)) ->
% difference(eta(B),difference(B,j(A))) collapsed.
% Rule [451] product(A,i(eta(B))) -> quotient(A,eta(B)) collapsed.
% Current number of equations to process: 493
% Current number of ordered equations: 7090
% Current number of rules: 235
% New rule produced : [520] j(j(eta(A))) -> eta(A)
% Current number of equations to process: 501
% Current number of ordered equations: 7072
% Current number of rules: 236
% New rule produced : [521] a(A,one,one) <-> a(one,one,A)
% Current number of equations to process: 500
% Current number of ordered equations: 7068
% Current number of rules: 237
% New rule produced : [522] a(one,one,A) <-> a(A,one,one)
% Current number of equations to process: 500
% Current number of ordered equations: 7064
% Current number of rules: 238
% New rule produced : [523] i(c(A,B)) -> j(c(A,B))
% Rule [285] quotient(quotient(A,i(c(B,C))),c(B,C)) -> A collapsed.
% Current number of equations to process: 547
% Current number of ordered equations: 6979
% Current number of rules: 238
% New rule produced : [524] difference(i(A),j(A)) -> eta(A)
% Rule
% [496]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(j(A),eta(A)),
% eta(A)))),quotient(difference(
% i(A),
% j(A)),
% j(A)))) ->
% quotient(j(A),A) collapsed.
% Current number of equations to process: 550
% Current number of ordered equations: 6958
% Current number of rules: 238
% New rule produced :
% [525]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(j(A),eta(A)),
% eta(A)))),A)) ->
% quotient(j(A),A)
% Current number of equations to process: 549
% Current number of ordered equations: 6958
% Current number of rules: 239
% New rule produced : [526] quotient(j(A),eta(A)) -> i(A)
% Current number of equations to process: 564
% Current number of ordered equations: 6941
% Current number of rules: 240
% New rule produced : [527] difference(eta(A),i(A)) -> j(A)
% Current number of equations to process: 569
% Current number of ordered equations: 6929
% Current number of rules: 241
% New rule produced : [528] j(j(c(A,B))) -> c(A,B)
% Current number of equations to process: 574
% Current number of ordered equations: 6923
% Current number of rules: 242
% New rule produced : [529] quotient(difference(i(A),A),A) -> A
% Current number of equations to process: 574
% Current number of ordered equations: 6920
% Current number of rules: 243
% New rule produced : [530] difference(j(eta(A)),A) -> i(i(A))
% Current number of equations to process: 573
% Current number of ordered equations: 6919
% Current number of rules: 244
% New rule produced : [531] difference(eta(A),i(i(A))) -> A
% Current number of equations to process: 575
% Current number of ordered equations: 6914
% Current number of rules: 245
% New rule produced : [532] quotient(i(A),j(A)) -> eta(A)
% Current number of equations to process: 575
% Current number of ordered equations: 6913
% Current number of rules: 246
% New rule produced : [533] difference(j(A),eta(A)) -> j(j(A))
% Rule
% [525]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(j(A),eta(A)),
% eta(A)))),A)) ->
% quotient(j(A),A) collapsed.
% Current number of equations to process: 684
% Current number of ordered equations: 6798
% Current number of rules: 246
% New rule produced :
% [534]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),A)),A))
% -> quotient(j(A),A)
% Current number of equations to process: 683
% Current number of ordered equations: 6798
% Current number of rules: 247
% New rule produced : [535] c(j(eta(A)),eta(A)) -> one
% Current number of equations to process: 683
% Current number of ordered equations: 6797
% Current number of rules: 248
% New rule produced : [536] difference(j(A),i(A)) -> j(eta(A))
% Current number of equations to process: 689
% Current number of ordered equations: 6790
% Current number of rules: 249
% Rule [354] a(B,one,A) <-> j(a(one,j(A),B)) is composed into [354]
% a(B,one,A) <->
% a(one,j(A),B)
% New rule produced : [537] j(a(one,A,B)) -> a(one,A,B)
% Rule [353] j(a(one,j(A),B)) <-> a(B,one,A) collapsed.
% Current number of equations to process: 783
% Current number of ordered equations: 6550
% Current number of rules: 249
% New rule produced : [538] t(eta(A),j(A)) -> i(i(i(A)))
% Current number of equations to process: 783
% Current number of ordered equations: 6549
% Current number of rules: 250
% New rule produced : [539] a(A,B,C) <-> a(B,C,i(A))
% Current number of equations to process: 783
% Current number of ordered equations: 6544
% Current number of rules: 251
% New rule produced : [540] a(B,C,i(A)) <-> a(A,B,C)
% Current number of equations to process: 783
% Current number of ordered equations: 6539
% Current number of rules: 252
% New rule produced : [541] difference(A,i(i(A))) -> c(A,i(A))
% Current number of equations to process: 791
% Current number of ordered equations: 6530
% Current number of rules: 253
% New rule produced : [542] t(A,c(A,i(A))) -> eta(A)
% Current number of equations to process: 792
% Current number of ordered equations: 6528
% Current number of rules: 254
% New rule produced : [543] a(one,one,j(A)) -> a(one,one,A)
% Current number of equations to process: 792
% Current number of ordered equations: 6527
% Current number of rules: 255
% New rule produced : [544] a(one,A,B) <-> a(B,one,i(A))
% Current number of equations to process: 792
% Current number of ordered equations: 6526
% Current number of rules: 256
% New rule produced : [545] a(B,one,i(A)) <-> a(one,A,B)
% Current number of equations to process: 792
% Current number of ordered equations: 6525
% Current number of rules: 257
% New rule produced : [546] a(one,A,j(B)) <-> a(B,one,A)
% Current number of equations to process: 792
% Current number of ordered equations: 6518
% Current number of rules: 258
% New rule produced : [547] a(B,one,A) <-> a(one,A,j(B))
% Current number of equations to process: 792
% Current number of ordered equations: 6511
% Current number of rules: 259
% New rule produced : [548] quotient(j(A),i(A)) -> j(eta(A))
% Current number of equations to process: 792
% Current number of ordered equations: 6510
% Current number of rules: 260
% New rule produced : [549] a(one,one,i(A)) -> a(one,one,A)
% Current number of equations to process: 792
% Current number of ordered equations: 6509
% Current number of rules: 261
% New rule produced : [550] a(A,B,j(C)) <-> a(C,A,B)
% Rule [546] a(one,A,j(B)) <-> a(B,one,A) collapsed.
% Current number of equations to process: 792
% Current number of ordered equations: 6507
% Current number of rules: 261
% New rule produced : [551] a(C,A,B) <-> a(A,B,j(C))
% Rule [547] a(B,one,A) <-> a(one,A,j(B)) collapsed.
% Current number of equations to process: 792
% Current number of ordered equations: 6505
% Current number of rules: 261
% New rule produced : [552] a(A,one,j(B)) <-> a(one,B,A)
% Current number of equations to process: 792
% Current number of ordered equations: 6503
% Current number of rules: 262
% New rule produced : [553] a(one,B,A) <-> a(A,one,j(B))
% Current number of equations to process: 792
% Current number of ordered equations: 6501
% Current number of rules: 263
% New rule produced : [554] difference(eta(A),j(A)) -> j(j(j(A)))
% Current number of equations to process: 794
% Current number of ordered equations: 6498
% Current number of rules: 264
% Rule [297] quotient(j(j(A)),A) -> t(A,eta(A)) is composed into [297]
% quotient(
% j(j(A)),A) ->
% j(eta(A))
% New rule produced : [555] t(A,eta(A)) -> j(eta(A))
% Rule [344] quotient(i(A),i(i(t(A,eta(A))))) -> j(A) collapsed.
% Rule [371] j(t(A,eta(A))) -> eta(A) collapsed.
% Current number of equations to process: 811
% Current number of ordered equations: 6470
% Current number of rules: 263
% New rule produced : [556] quotient(i(A),j(eta(A))) -> j(A)
% Current number of equations to process: 811
% Current number of ordered equations: 6469
% Current number of rules: 264
% Rule [494]
% product(B,C) <->
% difference(eta(A),quotient(product(eta(A),B),quotient(difference(C,B),B))) is composed into
% [494]
% product(B,C) <->
% difference(eta(A),quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B)))
% Rule [485]
% t(c(A,B),product(C,product(D,c(A,B)))) <->
% difference(eta(A),quotient(difference(eta(A),quotient(product(eta(A),
% eta(A)),quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(product(C,D),c(A,B)),c(A,B)))) is composed into
% [485]
% t(c(A,B),product(C,product(D,c(A,B)))) ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(eta(A),
% i(eta(A))),quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(product(C,D),c(A,B)),c(A,B))))
% Rule [444]
% t(a(A,B,C),product(D,a(A,B,C))) ->
% difference(eta(A),quotient(difference(eta(A),quotient(product(eta(A),
% eta(A)),quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,a(A,B,C)),a(A,B,C)))) is composed into
% [444]
% t(a(A,B,C),product(D,a(A,B,C))) ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(eta(A),
% i(eta(A))),quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,a(A,B,C)),a(A,B,C))))
% Rule [442]
% t(A,quotient(t(eta(B),product(x1,eta(B))),difference(product(C,A),x1)))
% <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(
% product(
% eta(A),
% eta(A)),
% quotient(
% difference(
% product(A,A),
% eta(A)),
% eta(A)))),
% quotient(difference(product(eta(B),C),
% product(A,A)),product(A,A))))) is composed into
% [442]
% t(A,quotient(t(eta(B),product(x1,eta(B))),difference(product(C,A),x1))) <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% eta(A),
% i(
% eta(A))),
% quotient(difference(
% product(A,A),
% eta(A)),
% eta(A)))),quotient(
% difference(
% quotient(
% eta(B),
% i(C)),
% product(A,A)),
% product(A,A)))))
% Rule [415]
% t(A,t(A,product(B,A))) <->
% quotient(difference(eta(A),quotient(difference(eta(A),quotient(product(
% eta(A),
% eta(A)),
% quotient(difference(
% product(A,A),
% eta(A)),
% eta(A)))),
% quotient(difference(B,product(A,A)),product(A,A)))),A) is composed into
% [415]
% t(A,t(A,product(B,A))) <->
% quotient(difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% eta(A),
% i(eta(A))),
% quotient(difference(
% product(A,A),
% eta(A)),
% eta(A)))),quotient(
% difference(B,
% product(A,A)),
% product(A,A)))),A)
% Rule [399]
% t(c(A,B),product(C,c(A,B))) <->
% difference(eta(A),quotient(difference(eta(A),quotient(product(eta(A),
% eta(A)),quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,c(A,B)),c(A,B)))) is composed into
% [399]
% t(c(A,B),product(C,c(A,B))) ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(eta(A),
% i(eta(A))),quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,c(A,B)),c(A,B))))
% Rule [397]
% product(A,a(B,C,D)) ->
% t(A,difference(eta(x1),quotient(difference(eta(x1),quotient(product(
% eta(x1),
% eta(x1)),
% quotient(difference(
% a(B,C,D),
% eta(x1)),
% eta(x1)))),quotient(
% difference(A,
% a(B,C,D)),
% a(B,C,D))))) is composed into
% [397]
% product(A,a(B,C,D)) ->
% t(A,difference(eta(x1),quotient(difference(eta(x1),quotient(quotient(
% eta(x1),i(
% eta(x1))),
% quotient(difference(
% a(B,C,D),
% eta(x1)),
% eta(x1)))),quotient(
% difference(A,
% a(B,C,D)),
% a(B,C,D)))))
% Rule [394]
% product(A,t(A,product(B,A))) <->
% difference(eta(A),quotient(difference(eta(A),quotient(product(eta(A),
% eta(A)),quotient(
% difference(
% product(A,A),
% eta(A)),
% eta(A)))),
% quotient(difference(B,product(A,A)),product(A,A)))) is composed into
% [394]
% product(A,t(A,product(B,A))) ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(eta(A),
% i(eta(A))),quotient(
% difference(
% product(A,A),
% eta(A)),
% eta(A)))),
% quotient(difference(B,product(A,A)),product(A,A))))
% Rule [393]
% product(A,c(B,C)) <->
% t(A,difference(eta(x1),quotient(difference(eta(x1),quotient(product(
% eta(x1),
% eta(x1)),
% quotient(difference(
% c(B,C),
% eta(x1)),
% eta(x1)))),quotient(
% difference(A,
% c(B,C)),
% c(B,C))))) is composed into
% [393]
% product(A,c(B,C)) ->
% t(A,difference(eta(x1),quotient(difference(eta(x1),quotient(quotient(
% eta(x1),i(
% eta(x1))),
% quotient(difference(
% c(B,C),eta(x1)),
% eta(x1)))),quotient(
% difference(A,
% c(B,C)),
% c(B,C)))))
% Rule [389]
% t(eta(A),product(B,product(C,eta(A)))) <->
% difference(eta(A),quotient(difference(eta(A),quotient(product(eta(A),
% eta(A)),quotient(
% difference(
% t(
% eta(A),B),
% eta(A)),
% eta(A)))),
% quotient(difference(product(eta(A),C),t(eta(A),B)),
% t(eta(A),B)))) is composed into [389]
% t(eta(A),product(B,
% product(C,
% eta(A)))) ->
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% eta(A),
% i(eta(A))),
% quotient(
% difference(
% t(eta(A),B),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(
% eta(A),
% i(C)),
% t(eta(A),B)),
% t(eta(A),B))))
% Rule [312]
% t(A,quotient(product(B,product(C,A)),A)) <->
% quotient(difference(eta(A),quotient(difference(eta(A),quotient(product(
% eta(A),
% eta(A)),
% quotient(difference(
% product(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,product(A,B)),product(A,B)))),A) is composed into
% [312]
% t(A,quotient(product(B,product(C,A)),A)) <->
% quotient(difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% eta(A),
% i(eta(A))),
% quotient(difference(
% product(A,B),
% eta(A)),
% eta(A)))),quotient(
% difference(C,
% product(A,B)),
% product(A,B)))),A)
% Rule [272] t(eta(A),product(B,eta(A))) <-> product(eta(A),B) is composed into
% [272] t(eta(A),product(B,eta(A))) -> quotient(eta(A),i(B))
% Rule [267]
% difference(product(A,j(B)),product(A,quotient(j(B),B))) <->
% quotient(quotient(difference(eta(x1),quotient(difference(eta(x1),
% quotient(product(eta(x1),
% eta(x1)),
% quotient(difference(
% i(B),eta(x1)),
% eta(x1)))),quotient(
% difference(
% product(A,
% j(B)),i(B)),
% i(B)))),
% j(B)),A) is composed into [267]
% difference(product(A,j(B)),product(A,
% quotient(
% j(B),B)))
% ->
% quotient(quotient(difference(
% eta(x1),quotient(
% difference(
% eta(x1),
% quotient(
% quotient(
% eta(x1),
% i(eta(x1))),
% quotient(
% difference(
% i(B),
% eta(x1)),
% eta(x1)))),
% quotient(
% difference(
% product(A,
% j(B)),
% i(B)),
% i(B)))),
% j(B)),A)
% Rule [264]
% difference(product(B,C),product(B,product(C,j(j(A))))) <->
% quotient(quotient(product(A,quotient(product(eta(A),B),difference(
% product(B,C),B))),C),B) is composed into
% [264]
% difference(product(B,C),product(B,product(C,j(j(A))))) <->
% quotient(quotient(product(A,quotient(quotient(eta(A),i(B)),difference(
% product(B,C),B))),C),B)
% Rule [262]
% difference(product(B,C),product(B,product(C,i(i(A))))) <->
% quotient(quotient(quotient(product(eta(A),B),difference(product(A,
% product(B,C)),B)),C),B) is composed into
% [262]
% difference(product(B,C),product(B,product(C,i(i(A))))) <->
% quotient(quotient(quotient(quotient(eta(A),i(B)),difference(product(A,
% product(B,C)),B)),C),B)
% Rule [254]
% quotient(product(B,product(C,j(j(A)))),j(j(A))) <->
% difference(j(j(A)),difference(eta(A),quotient(difference(eta(A),
% quotient(product(eta(A),
% eta(A)),quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% j(
% j(A)),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% j(
% j(A))),
% j(
% j(A))))),
% eta(A)),
% eta(A)))),
% quotient(difference(C,difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% j(j(A)),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A)))))),
% difference(eta(A),quotient(
% difference(
% eta(A),quotient(
% quotient(
% t(
% eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% j(
% j(A)),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A))))))))) is composed into
% [254]
% quotient(product(B,product(C,j(j(A)))),j(j(A))) <->
% difference(j(j(A)),difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% eta(A),
% i(eta(A))),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% j(j(A)),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A))))),
% eta(A)),
% eta(A)))),
% quotient(difference(C,difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% j(j(A)),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A)))))),
% difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% j(j(A)),
% eta(A)),
% eta(A)))),
% quotient(difference(B,
% j(j(A))),
% j(j(A)))))))))
% Rule [252]
% quotient(product(B,product(C,i(i(A)))),i(i(A))) <->
% difference(i(i(A)),quotient(product(eta(A),B),difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% product(
% eta(A),
% eta(A)),
% quotient(
% difference(
% product(A,B),
% eta(A)),
% eta(A)))),
% quotient(
% difference(C,
% product(A,B)),
% product(A,B)))),B))) is composed into
% [252]
% quotient(product(B,product(C,i(i(A)))),i(i(A))) <->
% difference(i(i(A)),quotient(quotient(eta(A),i(B)),difference(difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% eta(A),
% i(
% eta(A))),
% quotient(
% difference(
% product(A,B),
% eta(A)),
% eta(A)))),
% quotient(
% difference(C,
% product(A,B)),
% product(A,B)))),B)))
% Rule [161]
% quotient(quotient(product(A,eta(B)),j(B)),B) <->
% difference(eta(B),product(B,difference(eta(x1),quotient(difference(
% eta(x1),
% quotient(
% product(
% eta(x1),
% eta(x1)),
% quotient(
% difference(
% j(B),eta(x1)),
% eta(x1)))),
% quotient(difference(A,
% j(B)),j(B)))))) is composed into
% [161]
% quotient(quotient(product(A,eta(B)),j(B)),B) <->
% difference(eta(B),product(B,difference(eta(x1),quotient(difference(eta(x1),
% quotient(quotient(
% eta(x1),
% i(eta(x1))),
% quotient(difference(
% j(B),
% eta(x1)),
% eta(x1)))),quotient(
% difference(A,
% j(B)),
% j(B))))))
% Rule [159]
% quotient(quotient(product(A,B),C),quotient(B,C)) <->
% difference(B,difference(eta(x1),quotient(difference(eta(x1),quotient(
% product(
% eta(x1),
% eta(x1)),
% quotient(
% difference(
% quotient(B,C),
% eta(x1)),
% eta(x1)))),
% quotient(difference(product(C,A),
% quotient(B,C)),quotient(B,C))))) is composed into
% [159]
% quotient(quotient(product(A,B),C),quotient(B,C)) <->
% difference(B,difference(eta(x1),quotient(difference(eta(x1),quotient(
% quotient(
% eta(x1),i(
% eta(x1))),
% quotient(
% difference(
% quotient(B,C),
% eta(x1)),
% eta(x1)))),
% quotient(difference(product(C,A),quotient(B,C)),
% quotient(B,C)))))
% Rule [157]
% quotient(quotient(product(A,B),difference(C,B)),C) <->
% difference(B,product(C,difference(eta(x1),quotient(difference(eta(x1),
% quotient(product(
% eta(x1),
% eta(x1)),
% quotient(difference(
% difference(C,B),
% eta(x1)),
% eta(x1)))),quotient(
% difference(A,
% difference(C,B)),
% difference(C,B)))))) is composed into
% [157]
% quotient(quotient(product(A,B),difference(C,B)),C) <->
% difference(B,product(C,difference(eta(x1),quotient(difference(eta(x1),
% quotient(quotient(
% eta(x1),i(
% eta(x1))),
% quotient(difference(
% difference(C,B),
% eta(x1)),
% eta(x1)))),quotient(
% difference(A,
% difference(C,B)),
% difference(C,B))))))
% Rule [155]
% quotient(quotient(product(A,eta(B)),B),i(B)) <->
% difference(eta(B),difference(eta(x1),quotient(difference(eta(x1),
% quotient(product(eta(x1),
% eta(x1)),
% quotient(difference(
% i(B),eta(x1)),
% eta(x1)))),quotient(
% difference(
% product(B,A),
% i(B)),i(B))))) is composed into
% [155]
% quotient(quotient(product(A,eta(B)),B),i(B)) <->
% difference(eta(B),difference(eta(x1),quotient(difference(eta(x1),quotient(
% quotient(
% eta(x1),
% i(eta(x1))),
% quotient(
% difference(
% i(B),
% eta(x1)),
% eta(x1)))),
% quotient(difference(product(B,A),i(B)),
% i(B)))))
% Rule [149]
% product(A,product(B,product(C,c(product(B,C),A)))) <->
% difference(eta(x1),quotient(difference(eta(x1),quotient(product(
% eta(x1),
% eta(x1)),
% quotient(difference(
% product(B,C),
% eta(x1)),
% eta(x1)))),quotient(
% difference(A,
% product(B,C)),
% product(B,C)))) is composed into
% [149]
% product(A,product(B,product(C,c(product(B,C),A)))) ->
% difference(eta(x1),quotient(difference(eta(x1),quotient(quotient(eta(x1),
% i(eta(x1))),quotient(
% difference(
% product(B,C),
% eta(x1)),
% eta(x1)))),
% quotient(difference(A,product(B,C)),product(B,C))))
% Rule [146]
% product(A,a(C,D,B)) <->
% quotient(A,difference(B,t(a(B,C,D),difference(eta(x1),quotient(product(
% eta(x1),B),
% quotient(difference(
% a(B,C,D),B),B)))))) is composed into
% [146]
% product(A,a(C,D,B)) <->
% quotient(A,difference(B,t(a(B,C,D),difference(eta(x1),quotient(quotient(
% eta(x1),
% i(B)),
% quotient(difference(
% a(B,C,D),B),B))))))
% Rule [144]
% a(B,C,A) <->
% j(difference(A,t(a(A,B,C),difference(eta(A),quotient(product(eta(A),A),
% quotient(difference(
% a(A,B,C),A),A)))))) is composed into
% [144]
% a(B,C,A) <->
% j(difference(A,t(a(A,B,C),difference(eta(A),quotient(quotient(eta(A),i(A)),
% quotient(difference(a(A,B,C),A),A))))))
% Rule [141]
% i(a(A,B,C)) <->
% difference(C,t(a(C,A,B),difference(eta(A),quotient(product(eta(A),C),
% quotient(difference(a(C,A,B),C),C))))) is composed into
% [141]
% i(a(A,B,C)) <->
% difference(C,t(a(C,A,B),difference(eta(A),quotient(quotient(eta(A),i(C)),
% quotient(difference(a(C,A,B),C),C)))))
% Rule [123]
% quotient(product(A,product(B,i(A))),i(A)) <->
% difference(i(A),product(eta(A),B)) is composed into [123]
% quotient(product(A,
% product(B,
% i(A))),
% i(A)) ->
% difference(i(A),
% quotient(eta(A),
% i(B)))
% Rule [110]
% product(A,quotient(product(B,product(C,A)),A)) <->
% difference(eta(A),quotient(difference(eta(A),quotient(product(eta(A),
% eta(A)),quotient(
% difference(
% product(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,product(A,B)),product(A,B)))) is composed into
% [110]
% product(A,quotient(product(B,product(C,A)),A)) ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(eta(A),
% i(eta(A))),quotient(
% difference(
% product(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,product(A,B)),product(A,B))))
% Rule [81]
% t(A,product(B,A)) <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(
% product(
% eta(A),
% eta(A)),
% quotient(
% difference(
% product(A,A),
% eta(A)),
% eta(A)))),
% quotient(difference(B,product(A,A)),
% product(A,A))))) is composed into
% [81]
% t(A,product(B,A)) <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% eta(A),
% i(
% eta(A))),
% quotient(difference(
% product(A,A),
% eta(A)),
% eta(A)))),quotient(
% difference(B,
% product(A,A)),
% product(A,A)))))
% Rule [24]
% quotient(product(B,product(C,A)),A) <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(
% product(
% eta(A),
% eta(A)),
% quotient(
% difference(
% product(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,product(A,B)),
% product(A,B))))) is composed into
% [24]
% quotient(product(B,product(C,A)),A) <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% eta(A),
% i(
% eta(A))),
% quotient(difference(
% product(A,B),
% eta(A)),
% eta(A)))),quotient(
% difference(C,
% product(A,B)),
% product(A,B)))))
% New rule produced : [557] product(eta(A),B) -> quotient(eta(A),i(B))
% Rule
% [122]
% difference(i(A),product(eta(A),B)) <->
% quotient(product(A,product(B,i(A))),i(A)) collapsed.
% Rule [273] product(eta(A),B) <-> t(eta(A),product(B,eta(A))) collapsed.
% Rule [410] quotient(product(eta(A),B),difference(C,B)) <-> product(eta(A),C)
% collapsed.
% Rule [411] product(eta(A),C) <-> quotient(product(eta(A),B),difference(C,B))
% collapsed.
% Rule
% [412]
% quotient(quotient(product(eta(A),B),difference(eta(B),B)),j(B)) ->
% product(eta(A),B) collapsed.
% Rule
% [418]
% quotient(product(eta(A),B),difference(j(B),B)) ->
% difference(A,j(quotient(B,A))) collapsed.
% Rule
% [420]
% quotient(quotient(product(eta(A),B),difference(quotient(j(B),B),B)),i(B)) ->
% difference(A,j(quotient(B,A))) collapsed.
% Rule
% [435]
% quotient(quotient(product(eta(A),B),quotient(difference(C,B),B)),C) ->
% product(eta(A),B) collapsed.
% Rule
% [440]
% product(A,quotient(product(eta(A),B),difference(c(j(j(A)),B),B))) ->
% difference(B,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% t(
% eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(difference(
% j(
% j(A)),
% eta(A)),
% eta(A)))),quotient(
% difference(B,
% j(
% j(A))),
% j(
% j(A))))))
% collapsed.
% Rule
% [447]
% quotient(quotient(product(eta(A),B),difference(quotient(i(i(B)),quotient(
% difference(C,B),B)),B)),C)
% -> quotient(product(eta(A),B),difference(i(i(B)),B)) collapsed.
% Rule [458] difference(product(B,eta(C)),product(B,product(eta(C),A))) -> A
% collapsed.
% Rule
% [465] quotient(product(A,product(eta(B),C)),eta(B)) -> product(A,t(eta(B),C))
% collapsed.
% Rule
% [475]
% difference(i(A),quotient(product(eta(A),B),i(A))) ->
% quotient(product(A,B),i(A)) collapsed.
% Rule
% [480]
% quotient(product(eta(A),B),difference(t(eta(A),B),B)) ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(t(eta(A),
% eta(A)),
% eta(A)),eta(A)))),
% quotient(difference(t(eta(A),B),t(eta(A),eta(A))),t(
% eta(A),
% eta(A)))))
% collapsed.
% Rule
% [488]
% quotient(quotient(product(eta(A),B),quotient(difference(product(eta(B),C),B),B)),C)
% -> difference(A,j(quotient(j(B),A))) collapsed.
% Rule
% [489]
% quotient(quotient(product(eta(A),B),difference(quotient(t(eta(B),product(x1,
% eta(B))),
% difference(product(C,D),x1)),B)),D)
% <-> quotient(product(eta(A),B),difference(product(eta(B),C),B)) collapsed.
% Rule
% [490]
% quotient(product(eta(A),B),difference(product(eta(B),C),B)) <->
% quotient(quotient(product(eta(A),B),difference(quotient(t(eta(B),product(x1,
% eta(B))),
% difference(product(C,D),x1)),B)),D)
% collapsed.
% Rule
% [493]
% difference(eta(A),quotient(product(eta(A),B),quotient(difference(C,B),B)))
% <-> product(B,C) collapsed.
% Rule
% [498]
% product(A,product(eta(A),B)) ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(j(j(A)),
% eta(A)),eta(A)))),
% quotient(difference(B,j(j(A))),j(j(A))))) collapsed.
% Rule
% [499]
% quotient(product(eta(A),B),difference(product(A,B),B)) ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(i(A),eta(A)))),
% quotient(difference(B,i(i(A))),i(i(A))))) collapsed.
% Rule
% [506]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(quotient(difference(B,
% eta(A)),
% eta(A)),eta(A)))),
% quotient(difference(C,product(eta(A),B)),product(eta(A),B))))
% -> quotient(product(eta(A),B),quotient(difference(C,B),B)) collapsed.
% Rule
% [509]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(a(A,B,C),
% eta(A)),eta(A)))),
% quotient(difference(difference(C,t(a(C,A,B),difference(
% eta(A),
% quotient(
% product(
% eta(A),C),
% quotient(
% difference(
% a(C,A,B),C),C))))),
% a(A,B,C)),a(A,B,C)))) -> one collapsed.
% Current number of equations to process: 1731
% Current number of ordered equations: 4101
% Current number of rules: 243
% New rule produced :
% [558]
% quotient(quotient(eta(A),i(B)),difference(difference(eta(A),quotient(
% i(i(A)),quotient(
% difference(B,A),A))),B))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% quotient(
% quotient(
% eta(A),
% i(x1)),
% quotient(
% difference(
% eta(A),x1),x1)),
% eta(A)),
% difference(eta(A),x1)),
% quotient(i(A),eta(A)))),
% quotient(difference(B,i(i(A))),i(i(A)))))
% Current number of equations to process: 1727
% Current number of ordered equations: 4104
% Current number of rules: 244
% New rule produced :
% [559]
% difference(eta(A),quotient(i(i(A)),quotient(difference(quotient(eta(A),i(B)),A),A)))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% quotient(
% quotient(
% eta(A),
% i(x1)),
% quotient(
% difference(
% eta(A),x1),x1)),
% eta(A)),
% difference(eta(A),x1)),
% quotient(difference(j(j(A)),
% eta(A)),eta(A)))),
% quotient(difference(B,j(j(A))),j(j(A)))))
% Current number of equations to process: 1727
% Current number of ordered equations: 4103
% Current number of rules: 245
% New rule produced :
% [560]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% quotient(
% quotient(
% eta(A),
% i(x1)),
% quotient(
% difference(
% eta(A),x1),x1)),
% eta(A)),
% difference(eta(A),x1)),
% quotient(quotient(difference(B,
% eta(A)),
% eta(A)),eta(A)))),
% quotient(difference(C,quotient(eta(A),i(B))),quotient(
% eta(A),
% i(B))))) ->
% quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B))
% Current number of equations to process: 1727
% Current number of ordered equations: 4102
% Current number of rules: 246
% New rule produced :
% [561]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% quotient(
% quotient(
% eta(A),
% i(x1)),
% quotient(
% difference(
% eta(A),x1),x1)),
% eta(A)),
% difference(eta(A),x1)),
% quotient(difference(a(A,B,C),
% eta(A)),eta(A)))),
% quotient(difference(difference(C,t(a(C,A,B),difference(
% eta(A),
% quotient(
% quotient(
% eta(A),
% i(C)),quotient(
% difference(
% a(C,A,B),C),C))))),
% a(A,B,C)),a(A,B,C)))) -> one
% Current number of equations to process: 1727
% Current number of ordered equations: 4101
% Current number of rules: 247
% New rule produced : [562] t(eta(A),i(B)) -> i(t(eta(A),B))
% Current number of equations to process: 1733
% Current number of ordered equations: 4092
% Current number of rules: 248
% New rule produced : [563] quotient(quotient(A,i(A)),A) -> j(j(A))
% Current number of equations to process: 1734
% Current number of ordered equations: 4090
% Current number of rules: 249
% Rule [354] a(B,one,A) <-> a(one,j(A),B) is composed into [354]
% a(B,one,A) <->
% a(one,A,j(B))
% Rule [328] a(B,one,A) <-> a(one,j(A),B) is composed into [328]
% a(B,one,A) <->
% a(one,A,j(B))
% New rule produced : [564] a(one,j(A),B) -> a(one,A,j(B))
% Rule [327] a(one,j(A),B) <-> a(B,one,A) collapsed.
% Current number of equations to process: 1816
% Current number of ordered equations: 3982
% Current number of rules: 249
% New rule produced : [565] difference(A,quotient(A,i(A))) -> i(i(A))
% Current number of equations to process: 1816
% Current number of ordered equations: 3981
% Current number of rules: 250
% New rule produced : [566] a(j(A),B,C) <-> a(C,A,i(B))
% Current number of equations to process: 1816
% Current number of ordered equations: 3980
% Current number of rules: 251
% New rule produced : [567] a(C,A,i(B)) <-> a(j(A),B,C)
% Current number of equations to process: 1816
% Current number of ordered equations: 3979
% Current number of rules: 252
% New rule produced : [568] t(i(A),eta(A)) -> j(eta(A))
% Current number of equations to process: 1815
% Current number of ordered equations: 3979
% Current number of rules: 253
% New rule produced : [569] i(a(A,B,C)) -> j(a(A,B,C))
% Rule
% [141]
% i(a(A,B,C)) <->
% difference(C,t(a(C,A,B),difference(eta(A),quotient(quotient(eta(A),i(C)),
% quotient(difference(a(C,A,B),C),C)))))
% collapsed.
% Rule [310] quotient(quotient(A,i(a(B,C,D))),a(B,C,D)) -> A collapsed.
% Current number of equations to process: 1834
% Current number of ordered equations: 3894
% Current number of rules: 252
% New rule produced : [570] quotient(difference(eta(A),A),A) -> j(eta(A))
% Current number of equations to process: 1835
% Current number of ordered equations: 3892
% Current number of rules: 253
% New rule produced : [571] difference(i(A),i(B)) -> i(i(quotient(A,B)))
% Current number of equations to process: 1846
% Current number of ordered equations: 3879
% Current number of rules: 254
% Rule [351] a(A,j(B),one) <-> a(one,A,i(B)) is composed into [351]
% a(A,j(B),one) <->
% a(one,A,j(B))
% New rule produced : [572] a(one,A,i(B)) -> a(one,A,j(B))
% Rule [352] a(one,A,i(B)) <-> a(A,j(B),one) collapsed.
% Rule [549] a(one,one,i(A)) -> a(one,one,A) collapsed.
% Current number of equations to process: 1888
% Current number of ordered equations: 3812
% Current number of rules: 253
% New rule produced : [573] a(j(B),C,A) <-> a(A,B,j(C))
% Current number of equations to process: 1886
% Current number of ordered equations: 3811
% Current number of rules: 254
% New rule produced : [574] a(A,B,j(C)) <-> a(j(B),C,A)
% Current number of equations to process: 1886
% Current number of ordered equations: 3810
% Current number of rules: 255
% Rule [559]
% difference(eta(A),quotient(i(i(A)),quotient(difference(quotient(
% eta(A),i(B)),A),A)))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% quotient(
% quotient(
% eta(A),
% i(x1)),
% quotient(
% difference(
% eta(A),x1),x1)),
% eta(A)),
% difference(
% eta(A),x1)),
% quotient(difference(
% j(j(A)),eta(A)),
% eta(A)))),quotient(
% difference(B,
% j(j(A))),
% j(j(A))))) is composed into
% [559]
% difference(eta(A),quotient(i(i(A)),quotient(difference(quotient(eta(A),i(B)),A),A)))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% quotient(
% quotient(
% eta(A),
% i(x1)),
% j(eta(A))),
% eta(A)),
% difference(eta(A),x1)),
% quotient(difference(j(j(A)),
% eta(A)),eta(A)))),
% quotient(difference(B,j(j(A))),j(j(A)))))
% Rule [558]
% quotient(quotient(eta(A),i(B)),difference(difference(eta(A),quotient(
% i(i(A)),
% quotient(
% difference(B,A),A))),B))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% quotient(
% quotient(
% eta(A),
% i(x1)),
% quotient(
% difference(
% eta(A),x1),x1)),
% eta(A)),
% difference(
% eta(A),x1)),
% quotient(i(A),eta(A)))),
% quotient(difference(B,i(i(A))),i(i(A))))) is composed into
% [558]
% quotient(quotient(eta(A),i(B)),difference(difference(eta(A),quotient(
% i(i(A)),quotient(
% difference(B,A),A))),B))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% quotient(
% quotient(
% eta(A),
% i(x1)),
% j(eta(A))),
% eta(A)),
% difference(eta(A),x1)),
% quotient(i(A),eta(A)))),
% quotient(difference(B,i(i(A))),i(i(A)))))
% New rule produced : [575] quotient(difference(eta(A),B),B) -> j(eta(A))
% Rule
% [560]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% quotient(
% quotient(
% eta(A),
% i(x1)),
% quotient(
% difference(
% eta(A),x1),x1)),
% eta(A)),
% difference(eta(A),x1)),
% quotient(quotient(difference(B,
% eta(A)),
% eta(A)),eta(A)))),
% quotient(difference(C,quotient(eta(A),i(B))),quotient(
% eta(A),
% i(B))))) ->
% quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B)) collapsed.
% Rule
% [561]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% quotient(
% quotient(
% eta(A),
% i(x1)),
% quotient(
% difference(
% eta(A),x1),x1)),
% eta(A)),
% difference(eta(A),x1)),
% quotient(difference(a(A,B,C),
% eta(A)),eta(A)))),
% quotient(difference(difference(C,t(a(C,A,B),difference(
% eta(A),
% quotient(
% quotient(
% eta(A),
% i(C)),quotient(
% difference(
% a(C,A,B),C),C))))),
% a(A,B,C)),a(A,B,C)))) -> one collapsed.
% Rule [570] quotient(difference(eta(A),A),A) -> j(eta(A)) collapsed.
% Current number of equations to process: 2247
% Current number of ordered equations: 3447
% Current number of rules: 253
% New rule produced :
% [576]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% quotient(
% quotient(
% eta(A),
% i(x1)),
% j(eta(A))),
% eta(A)),
% difference(eta(A),x1)),
% quotient(quotient(difference(B,
% eta(A)),
% eta(A)),eta(A)))),
% quotient(difference(C,quotient(eta(A),i(B))),quotient(
% eta(A),
% i(B))))) ->
% quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B))
% Current number of equations to process: 2245
% Current number of ordered equations: 3448
% Current number of rules: 254
% New rule produced :
% [577]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% quotient(
% quotient(
% eta(A),
% i(x1)),
% j(eta(A))),
% eta(A)),
% difference(eta(A),x1)),
% quotient(difference(a(A,B,C),
% eta(A)),eta(A)))),
% quotient(difference(difference(C,t(a(C,A,B),difference(
% eta(A),
% quotient(
% quotient(
% eta(A),
% i(C)),quotient(
% difference(
% a(C,A,B),C),C))))),
% a(A,B,C)),a(A,B,C)))) -> one
% Current number of equations to process: 2245
% Current number of ordered equations: 3447
% Current number of rules: 255
% New rule produced : [578] difference(A,quotient(A,eta(B))) -> j(eta(B))
% Current number of equations to process: 2248
% Current number of ordered equations: 3443
% Current number of rules: 256
% New rule produced : [579] i(i(quotient(A,i(A)))) -> quotient(A,i(A))
% Current number of equations to process: 2247
% Current number of ordered equations: 3443
% Current number of rules: 257
% New rule produced : [580] a(one,A,j(j(B))) -> a(one,A,B)
% Current number of equations to process: 2246
% Current number of ordered equations: 3441
% Current number of rules: 258
% New rule produced : [581] a(A,B,C) <-> a(C,j(A),i(B))
% Current number of equations to process: 2244
% Current number of ordered equations: 3439
% Current number of rules: 259
% New rule produced : [582] a(C,j(A),i(B)) <-> a(A,B,C)
% Current number of equations to process: 2244
% Current number of ordered equations: 3437
% Current number of rules: 260
% Rule [361] a(B,j(C),A) <-> a(j(j(A)),j(B),C) is composed into [361]
% a(B,j(C),A) <->
% a(A,j(B),C)
% New rule produced : [583] a(j(j(A)),B,C) -> a(A,B,C)
% Rule [360] a(j(j(A)),j(B),C) <-> a(B,j(C),A) collapsed.
% Current number of equations to process: 2293
% Current number of ordered equations: 3338
% Current number of rules: 260
% New rule produced : [584] difference(j(A),A) -> quotient(j(j(A)),j(A))
% Current number of equations to process: 2297
% Current number of ordered equations: 3333
% Current number of rules: 261
% New rule produced : [585] j(j(a(A,B,C))) -> a(A,B,C)
% Current number of equations to process: 2301
% Current number of ordered equations: 3328
% Current number of rules: 262
% Rule [504]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(
% eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(difference(
% product(A,B),
% eta(A)),eta(A)))),
% quotient(difference(a(C,D,E),product(A,B)),product(A,B))))
% <->
% product(A,t(B,difference(eta(x1),quotient(difference(eta(x1),quotient(
% quotient(
% i(i(x1)),
% difference(
% eta(x1),x1)),
% quotient(
% difference(
% a(C,D,E),
% eta(x1)),
% eta(x1)))),
% quotient(difference(B,a(C,D,E)),
% a(C,D,E)))))) is composed into
% [504]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(product(A,B),
% eta(A)),eta(A)))),
% quotient(difference(a(C,D,E),product(A,B)),product(A,B))))
% <->
% product(A,t(B,difference(eta(x1),quotient(difference(eta(x1),quotient(
% quotient(
% i(i(x1)),
% quotient(
% quotient(
% j(j(x1)),
% j(x1)),x1)),
% quotient(
% difference(
% a(C,D,E),
% eta(x1)),
% eta(x1)))),
% quotient(difference(B,a(C,D,E)),a(C,D,E))))))
% New rule produced :
% [586] difference(eta(A),A) -> quotient(quotient(j(j(A)),j(A)),A)
% Rule
% [505]
% product(A,t(B,difference(eta(x1),quotient(difference(eta(x1),quotient(
% quotient(
% i(i(x1)),
% difference(
% eta(x1),x1)),
% quotient(
% difference(
% a(C,D,E),
% eta(x1)),
% eta(x1)))),
% quotient(difference(B,a(C,D,E)),a(C,D,E))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(product(A,B),
% eta(A)),eta(A)))),
% quotient(difference(a(C,D,E),product(A,B)),product(A,B))))
% collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% j(difference(x1,difference(eta(x1),quotient(difference(eta(x1),quotient(
% quotient(
% i(i(x1)),
% quotient(
% quotient(
% j(j(x1)),
% j(x1)),x1)),
% quotient(
% difference(
% j(difference(x1,
% t(a(x1,x1,x0),
% difference(
% eta(x1),
% quotient(
% i(i(x1)),
% quotient(
% difference(
% a(x1,x1,x0),x1),x1)))))),
% eta(x1)),
% eta(x1)))),
% quotient(difference(x1,j(difference(x1,
% t(a(x1,x1,x0),
% difference(
% eta(x1),quotient(
% i(
% i(x1)),
% quotient(
% difference(
% a(x1,x1,x0),x1),x1))))))),
% j(difference(x1,t(a(x1,x1,x0),difference(
% eta(x1),
% quotient(
% i(i(x1)),
% quotient(
% difference(
% a(x1,x1,x0),x1),x1))))))))))) =
% a(x1,x1,x0)
%
% Current number of equations to process: 3338
% Current number of ordered equations: 2134
% Current number of rules: 262
% New rule produced :
% [587]
% difference(eta(A),quotient(i(i(A)),quotient(difference(t(B,difference(
% eta(x1),quotient(
% difference(
% eta(x1),
% quotient(
% quotient(
% i(
% i(x1)),
% quotient(
% quotient(
% j(
% j(x1)),
% j(x1)),x1)),
% quotient(
% difference(
% a(C,D,E),
% eta(x1)),
% eta(x1)))),
% quotient(
% difference(B,
% a(C,D,E)),
% a(C,D,E))))),A),A)))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% quotient(
% quotient(
% eta(A),
% i(x1)),
% j(eta(A))),
% eta(A)),
% difference(eta(A),x1)),
% quotient(difference(difference(
% eta(A),
% quotient(
% i(i(A)),
% quotient(
% difference(B,A),A))),
% eta(A)),eta(A)))),
% quotient(difference(a(C,D,E),difference(eta(A),quotient(
% i(i(A)),
% quotient(
% difference(B,A),A)))),
% difference(eta(A),quotient(i(i(A)),quotient(difference(B,A),A))))))
% Current number of equations to process: 1337
% Current number of ordered equations: 3938
% Current number of rules: 263
% New rule produced :
% [588]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% quotient(
% quotient(
% eta(A),
% i(x1)),
% j(eta(A))),
% eta(A)),
% difference(eta(A),x1)),
% quotient(difference(difference(
% eta(A),
% quotient(
% i(i(A)),
% quotient(
% difference(B,A),A))),
% eta(A)),eta(A)))),
% quotient(difference(a(C,D,E),difference(eta(A),quotient(
% i(i(A)),
% quotient(
% difference(B,A),A)))),
% difference(eta(A),quotient(i(i(A)),quotient(difference(B,A),A))))))
% <->
% difference(eta(A),quotient(i(i(A)),quotient(difference(t(B,difference(
% eta(x1),quotient(
% difference(
% eta(x1),
% quotient(
% quotient(
% i(
% i(x1)),
% quotient(
% quotient(
% j(
% j(x1)),
% j(x1)),x1)),
% quotient(
% difference(
% a(C,D,E),
% eta(x1)),
% eta(x1)))),
% quotient(
% difference(B,
% a(C,D,E)),
% a(C,D,E))))),A),A)))
% Current number of equations to process: 1336
% Current number of ordered equations: 3938
% Current number of rules: 264
% New rule produced : [589] a(A,B,C) <-> a(C,j(A),j(B))
% Current number of equations to process: 1336
% Current number of ordered equations: 3932
% Current number of rules: 265
% New rule produced : [590] a(C,j(A),j(B)) <-> a(A,B,C)
% Current number of equations to process: 1336
% Current number of ordered equations: 3926
% Current number of rules: 266
% New rule produced : [591] j(difference(A,j(eta(B)))) -> quotient(eta(B),i(A))
% Current number of equations to process: 1345
% Current number of ordered equations: 3916
% Current number of rules: 267
% New rule produced : [592] quotient(i(i(A)),eta(A)) -> t(eta(A),A)
% Current number of equations to process: 1347
% Current number of ordered equations: 3911
% Current number of rules: 268
% New rule produced : [593] quotient(quotient(eta(A),i(B)),B) -> eta(A)
% Current number of equations to process: 1347
% Current number of ordered equations: 3909
% Current number of rules: 269
% New rule produced : [594] quotient(quotient(eta(A),B),j(B)) -> eta(A)
% Current number of equations to process: 1347
% Current number of ordered equations: 3907
% Current number of rules: 270
% New rule produced : [595] quotient(difference(j(eta(A)),B),B) -> eta(A)
% Current number of equations to process: 1364
% Current number of ordered equations: 3889
% Current number of rules: 271
% Rule [587]
% difference(eta(A),quotient(i(i(A)),quotient(difference(t(B,difference(
% eta(x1),
% quotient(
% difference(
% eta(x1),
% quotient(
% quotient(
% i(i(x1)),
% quotient(
% quotient(
% j(j(x1)),
% j(x1)),x1)),
% quotient(
% difference(
% a(C,D,E),
% eta(x1)),
% eta(x1)))),
% quotient(
% difference(B,
% a(C,D,E)),
% a(C,D,E))))),A),A)))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% quotient(
% quotient(
% eta(A),
% i(x1)),
% j(
% eta(A))),
% eta(A)),
% difference(
% eta(A),x1)),
% quotient(difference(
% difference(
% eta(A),quotient(
% i(i(A)),
% quotient(
% difference(B,A),A))),
% eta(A)),eta(A)))),
% quotient(difference(a(C,D,E),difference(eta(A),
% quotient(i(i(A)),
% quotient(difference(B,A),A)))),
% difference(eta(A),quotient(i(i(A)),quotient(difference(B,A),A)))))) is composed into
% [587]
% difference(eta(A),quotient(i(i(A)),quotient(difference(t(B,difference(
% eta(x1),quotient(
% difference(
% eta(x1),
% quotient(
% quotient(
% i(
% i(x1)),
% quotient(
% quotient(
% j(
% j(x1)),
% j(x1)),x1)),
% quotient(
% difference(
% a(C,D,E),
% eta(x1)),
% eta(x1)))),
% quotient(
% difference(B,
% a(C,D,E)),
% a(C,D,E))))),A),A)))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% difference(eta(A),x1)),
% quotient(difference(difference(
% eta(A),
% quotient(
% i(i(A)),
% quotient(
% difference(B,A),A))),
% eta(A)),eta(A)))),
% quotient(difference(a(C,D,E),difference(eta(A),quotient(
% i(i(A)),
% quotient(
% difference(B,A),A)))),
% difference(eta(A),quotient(i(i(A)),quotient(difference(B,A),A))))))
% Rule [559]
% difference(eta(A),quotient(i(i(A)),quotient(difference(quotient(
% eta(A),i(B)),A),A)))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% quotient(
% quotient(
% eta(A),
% i(x1)),
% j(
% eta(A))),
% eta(A)),
% difference(
% eta(A),x1)),
% quotient(difference(
% j(j(A)),eta(A)),
% eta(A)))),quotient(
% difference(B,
% j(j(A))),
% j(j(A))))) is composed into
% [559]
% difference(eta(A),quotient(i(i(A)),quotient(difference(quotient(eta(A),i(B)),A),A)))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% difference(eta(A),x1)),
% quotient(difference(j(j(A)),
% eta(A)),eta(A)))),
% quotient(difference(B,j(j(A))),j(j(A)))))
% Rule [558]
% quotient(quotient(eta(A),i(B)),difference(difference(eta(A),quotient(
% i(i(A)),
% quotient(
% difference(B,A),A))),B))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% quotient(
% quotient(
% eta(A),
% i(x1)),
% j(
% eta(A))),
% eta(A)),
% difference(
% eta(A),x1)),
% quotient(i(A),eta(A)))),
% quotient(difference(B,i(i(A))),i(i(A))))) is composed into
% [558]
% quotient(quotient(eta(A),i(B)),difference(difference(eta(A),quotient(
% i(i(A)),quotient(
% difference(B,A),A))),B))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% difference(eta(A),x1)),
% quotient(i(A),eta(A)))),
% quotient(difference(B,i(i(A))),i(i(A)))))
% New rule produced : [596] quotient(quotient(A,j(eta(B))),eta(B)) -> A
% Rule
% [576]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% quotient(
% quotient(
% eta(A),
% i(x1)),
% j(eta(A))),
% eta(A)),
% difference(eta(A),x1)),
% quotient(quotient(difference(B,
% eta(A)),
% eta(A)),eta(A)))),
% quotient(difference(C,quotient(eta(A),i(B))),quotient(
% eta(A),
% i(B))))) ->
% quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B)) collapsed.
% Rule
% [577]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% quotient(
% quotient(
% eta(A),
% i(x1)),
% j(eta(A))),
% eta(A)),
% difference(eta(A),x1)),
% quotient(difference(a(A,B,C),
% eta(A)),eta(A)))),
% quotient(difference(difference(C,t(a(C,A,B),difference(
% eta(A),
% quotient(
% quotient(
% eta(A),
% i(C)),quotient(
% difference(
% a(C,A,B),C),C))))),
% a(A,B,C)),a(A,B,C)))) -> one collapsed.
% Rule
% [588]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% quotient(
% quotient(
% eta(A),
% i(x1)),
% j(eta(A))),
% eta(A)),
% difference(eta(A),x1)),
% quotient(difference(difference(
% eta(A),
% quotient(
% i(i(A)),
% quotient(
% difference(B,A),A))),
% eta(A)),eta(A)))),
% quotient(difference(a(C,D,E),difference(eta(A),quotient(
% i(i(A)),
% quotient(
% difference(B,A),A)))),
% difference(eta(A),quotient(i(i(A)),quotient(difference(B,A),A))))))
% <->
% difference(eta(A),quotient(i(i(A)),quotient(difference(t(B,difference(
% eta(x1),quotient(
% difference(
% eta(x1),
% quotient(
% quotient(
% i(
% i(x1)),
% quotient(
% quotient(
% j(
% j(x1)),
% j(x1)),x1)),
% quotient(
% difference(
% a(C,D,E),
% eta(x1)),
% eta(x1)))),
% quotient(
% difference(B,
% a(C,D,E)),
% a(C,D,E))))),A),A)))
% collapsed.
% Current number of equations to process: 1967
% Current number of ordered equations: 3279
% Current number of rules: 269
% New rule produced :
% [597]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% difference(eta(A),x1)),
% quotient(quotient(difference(B,
% eta(A)),
% eta(A)),eta(A)))),
% quotient(difference(C,quotient(eta(A),i(B))),quotient(
% eta(A),
% i(B))))) ->
% quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B))
% Current number of equations to process: 1964
% Current number of ordered equations: 3280
% Current number of rules: 270
% New rule produced :
% [598]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% difference(eta(A),x1)),
% quotient(difference(a(A,B,C),
% eta(A)),eta(A)))),
% quotient(difference(difference(C,t(a(C,A,B),difference(
% eta(A),
% quotient(
% quotient(
% eta(A),
% i(C)),quotient(
% difference(
% a(C,A,B),C),C))))),
% a(A,B,C)),a(A,B,C)))) -> one
% Current number of equations to process: 1964
% Current number of ordered equations: 3279
% Current number of rules: 271
% New rule produced :
% [599] product(A,B) -> quotient(A,quotient(difference(B,A),A))
% Rule [1] product(A,one) -> A collapsed.
% Rule [2] product(one,A) -> A collapsed.
% Rule [6] quotient(product(A,B),B) -> A collapsed.
% Rule [7] difference(A,product(A,B)) -> B collapsed.
% Rule [8] product(A,difference(A,B)) -> B collapsed.
% Rule [10] product(A,j(A)) -> eta(A) collapsed.
% Rule [11] quotient(product(A,B),A) -> t(A,B) collapsed.
% Rule
% [24]
% quotient(product(B,product(C,A)),A) <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% eta(A),
% i(
% eta(A))),
% quotient(difference(
% product(A,B),
% eta(A)),
% eta(A)))),quotient(
% difference(C,
% product(A,B)),
% product(A,B)))))
% collapsed.
% Rule
% [33]
% quotient(quotient(product(C,product(A,B)),B),A) <->
% difference(product(A,B),product(A,product(B,C))) collapsed.
% Rule
% [34]
% difference(product(A,B),product(A,product(B,C))) <->
% quotient(quotient(product(C,product(A,B)),B),A) collapsed.
% Rule [44] product(A,i(A)) -> one collapsed.
% Rule [55] product(A,eta(A)) -> j(j(A)) collapsed.
% Rule [66] product(B,c(B,A)) -> difference(A,product(B,A)) collapsed.
% Rule [72] i(product(B,A)) -> quotient(i(A),i(i(B))) collapsed.
% Rule
% [81]
% t(A,product(B,A)) <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% eta(A),
% i(
% eta(A))),
% quotient(difference(
% product(A,A),
% eta(A)),
% eta(A)))),quotient(
% difference(B,
% product(A,A)),
% product(A,A)))))
% collapsed.
% Rule [88] quotient(product(A,i(i(B))),B) -> product(A,eta(B)) collapsed.
% Rule [89] quotient(product(A,B),product(B,A)) -> t(product(B,A),c(A,B))
% collapsed.
% Rule [97] quotient(product(A,product(B,eta(C))),eta(C)) -> product(A,B)
% collapsed.
% Rule
% [110]
% product(A,quotient(product(B,product(C,A)),A)) ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(eta(A),
% i(eta(A))),quotient(
% difference(
% product(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,product(A,B)),product(A,B))))
% collapsed.
% Rule
% [123]
% quotient(product(A,product(B,i(A))),i(A)) ->
% difference(i(A),quotient(eta(A),i(B))) collapsed.
% Rule [124] quotient(product(A,product(B,c(C,D))),c(C,D)) -> product(A,B)
% collapsed.
% Rule [125] difference(product(A,B),product(A,product(B,c(C,D)))) -> c(C,D)
% collapsed.
% Rule
% [129]
% difference(product(B,A),product(B,product(A,A))) ->
% quotient(t(A,product(B,A)),B) collapsed.
% Rule [135] quotient(t(eta(A),product(B,C)),t(eta(A),C)) -> t(eta(A),B)
% collapsed.
% Rule [136] difference(t(eta(A),B),t(eta(A),product(B,C))) -> t(eta(A),C)
% collapsed.
% Rule
% [138]
% difference(product(A,B),product(A,C)) <->
% quotient(difference(B,product(C,A)),A) collapsed.
% Rule
% [139]
% quotient(difference(B,product(C,A)),A) <->
% difference(product(A,B),product(A,C)) collapsed.
% Rule
% [146]
% product(A,a(C,D,B)) <->
% quotient(A,difference(B,t(a(B,C,D),difference(eta(x1),quotient(quotient(
% eta(x1),
% i(B)),
% quotient(difference(
% a(B,C,D),B),B))))))
% collapsed.
% Rule
% [148]
% quotient(product(A,product(B,product(C,eta(B)))),eta(B)) ->
% product(A,product(B,C)) collapsed.
% Rule
% [149]
% product(A,product(B,product(C,c(product(B,C),A)))) ->
% difference(eta(x1),quotient(difference(eta(x1),quotient(quotient(eta(x1),
% i(eta(x1))),quotient(
% difference(
% product(B,C),
% eta(x1)),
% eta(x1)))),
% quotient(difference(A,product(B,C)),product(B,C))))
% collapsed.
% Rule
% [155]
% quotient(quotient(product(A,eta(B)),B),i(B)) <->
% difference(eta(B),difference(eta(x1),quotient(difference(eta(x1),quotient(
% quotient(
% eta(x1),
% i(eta(x1))),
% quotient(
% difference(
% i(B),
% eta(x1)),
% eta(x1)))),
% quotient(difference(product(B,A),i(B)),
% i(B))))) collapsed.
% Rule
% [157]
% quotient(quotient(product(A,B),difference(C,B)),C) <->
% difference(B,product(C,difference(eta(x1),quotient(difference(eta(x1),
% quotient(quotient(
% eta(x1),i(
% eta(x1))),
% quotient(difference(
% difference(C,B),
% eta(x1)),
% eta(x1)))),quotient(
% difference(A,
% difference(C,B)),
% difference(C,B))))))
% collapsed.
% Rule
% [159]
% quotient(quotient(product(A,B),C),quotient(B,C)) <->
% difference(B,difference(eta(x1),quotient(difference(eta(x1),quotient(
% quotient(
% eta(x1),i(
% eta(x1))),
% quotient(
% difference(
% quotient(B,C),
% eta(x1)),
% eta(x1)))),
% quotient(difference(product(C,A),quotient(B,C)),
% quotient(B,C))))) collapsed.
% Rule
% [161]
% quotient(quotient(product(A,eta(B)),j(B)),B) <->
% difference(eta(B),product(B,difference(eta(x1),quotient(difference(eta(x1),
% quotient(quotient(
% eta(x1),
% i(eta(x1))),
% quotient(difference(
% j(B),
% eta(x1)),
% eta(x1)))),quotient(
% difference(A,
% j(B)),
% j(B))))))
% collapsed.
% Rule
% [167] difference(product(A,B),product(A,product(B,a(C,D,E)))) -> a(C,D,E)
% collapsed.
% Rule
% [181]
% difference(quotient(A,B),product(A,C)) <->
% quotient(product(B,product(C,quotient(A,B))),quotient(A,B)) collapsed.
% Rule
% [182]
% quotient(product(B,product(C,quotient(A,B))),quotient(A,B)) <->
% difference(quotient(A,B),product(A,C)) collapsed.
% Rule
% [185]
% quotient(product(A,product(B,c(C,D))),product(A,B)) -> t(product(A,B),c(C,D))
% collapsed.
% Rule [189] quotient(product(A,product(B,a(C,D,E))),a(C,D,E)) -> product(A,B)
% collapsed.
% Rule
% [211]
% quotient(product(A,product(B,product(C,c(D,E)))),c(D,E)) ->
% product(A,product(B,C)) collapsed.
% Rule
% [212]
% quotient(t(eta(A),product(B,C)),t(eta(A),B)) -> t(t(eta(A),B),t(eta(A),C))
% collapsed.
% Rule
% [216]
% difference(product(C,B),product(C,product(B,quotient(A,product(C,B))))) ->
% quotient(quotient(A,B),C) collapsed.
% Rule
% [217]
% quotient(quotient(product(B,product(A,i(B))),i(B)),A) ->
% difference(product(A,i(B)),product(A,eta(B))) collapsed.
% Rule
% [233]
% quotient(product(A,product(B,a(C,D,E))),product(A,B)) ->
% t(product(A,B),a(C,D,E)) collapsed.
% Rule
% [247]
% difference(product(A,product(B,C)),product(A,product(B,product(C,c(D,E)))))
% -> c(D,E) collapsed.
% Rule
% [252]
% quotient(product(B,product(C,i(i(A)))),i(i(A))) <->
% difference(i(i(A)),quotient(quotient(eta(A),i(B)),difference(difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% eta(A),
% i(
% eta(A))),
% quotient(
% difference(
% product(A,B),
% eta(A)),
% eta(A)))),
% quotient(
% difference(C,
% product(A,B)),
% product(A,B)))),B)))
% collapsed.
% Rule
% [254]
% quotient(product(B,product(C,j(j(A)))),j(j(A))) <->
% difference(j(j(A)),difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% eta(A),
% i(eta(A))),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% j(j(A)),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A))))),
% eta(A)),
% eta(A)))),
% quotient(difference(C,difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% j(j(A)),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% j(j(A))),
% j(j(A)))))),
% difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% j(j(A)),
% eta(A)),
% eta(A)))),
% quotient(difference(B,
% j(j(A))),
% j(j(A)))))))))
% collapsed.
% Rule
% [258]
% quotient(product(A,product(B,product(C,a(D,E,V_5)))),a(D,E,V_5)) ->
% product(A,product(B,C)) collapsed.
% Rule
% [262]
% difference(product(B,C),product(B,product(C,i(i(A))))) <->
% quotient(quotient(quotient(quotient(eta(A),i(B)),difference(product(A,
% product(B,C)),B)),C),B)
% collapsed.
% Rule
% [264]
% difference(product(B,C),product(B,product(C,j(j(A))))) <->
% quotient(quotient(product(A,quotient(quotient(eta(A),i(B)),difference(
% product(B,C),B))),C),B)
% collapsed.
% Rule
% [266]
% quotient(quotient(product(C,product(A,quotient(B,C))),quotient(B,C)),A) ->
% difference(product(A,quotient(B,C)),product(A,B)) collapsed.
% Rule
% [267]
% difference(product(A,j(B)),product(A,quotient(j(B),B))) ->
% quotient(quotient(difference(eta(x1),quotient(difference(eta(x1),quotient(
% quotient(
% eta(x1),
% i(eta(x1))),
% quotient(
% difference(
% i(B),
% eta(x1)),
% eta(x1)))),
% quotient(difference(product(A,j(B)),
% i(B)),i(B)))),j(B)),A)
% collapsed.
% Rule [272] t(eta(A),product(B,eta(A))) -> quotient(eta(A),i(B)) collapsed.
% Rule [289] product(A,i(i(A))) -> quotient(j(j(A)),j(A)) collapsed.
% Rule [292] quotient(product(A,product(B,j(A))),j(A)) -> difference(j(A),B)
% collapsed.
% Rule [294] difference(t(A,B),product(A,B)) -> A collapsed.
% Rule [298] quotient(product(A,j(j(B))),eta(B)) -> product(A,B) collapsed.
% Rule [299] difference(product(A,B),product(A,j(j(B)))) -> eta(B) collapsed.
% Rule [305] quotient(product(A,B),t(A,B)) -> t(t(A,B),A) collapsed.
% Rule [311] difference(product(A,B),A) -> quotient(difference(B,A),A)
% collapsed.
% Rule
% [312]
% t(A,quotient(product(B,product(C,A)),A)) <->
% quotient(difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% eta(A),
% i(eta(A))),
% quotient(difference(
% product(A,B),
% eta(A)),
% eta(A)))),quotient(
% difference(C,
% product(A,B)),
% product(A,B)))),A)
% collapsed.
% Rule [317] difference(A,difference(B,product(A,B))) -> c(A,B) collapsed.
% Rule [318] quotient(difference(A,product(B,A)),c(B,A)) -> B collapsed.
% Rule [319] quotient(difference(A,product(B,A)),B) -> t(B,c(B,A)) collapsed.
% Rule
% [323] quotient(product(A,difference(B,product(C,B))),c(C,B)) -> product(A,C)
% collapsed.
% Rule
% [325]
% difference(product(A,B),product(A,difference(C,product(B,C)))) -> c(B,C)
% collapsed.
% Rule [346] i(difference(A,product(B,A))) -> quotient(i(B),i(i(t(B,c(B,A)))))
% collapsed.
% Rule [366] eta(product(B,A)) -> eta(quotient(i(A),i(i(B)))) collapsed.
% Rule [369] j(product(B,A)) -> difference(eta(A),difference(A,j(B)))
% collapsed.
% Rule [380] quotient(product(A,B),difference(eta(A),B)) -> j(j(A)) collapsed.
% Rule
% [389]
% t(eta(A),product(B,product(C,eta(A)))) ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(eta(A),
% i(eta(A))),quotient(
% difference(
% t(eta(A),B),
% eta(A)),
% eta(A)))),
% quotient(difference(quotient(eta(A),i(C)),t(eta(A),B)),
% t(eta(A),B)))) collapsed.
% Rule
% [393]
% product(A,c(B,C)) ->
% t(A,difference(eta(x1),quotient(difference(eta(x1),quotient(quotient(
% eta(x1),i(
% eta(x1))),
% quotient(difference(
% c(B,C),eta(x1)),
% eta(x1)))),quotient(
% difference(A,
% c(B,C)),
% c(B,C)))))
% collapsed.
% Rule
% [394]
% product(A,t(A,product(B,A))) ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(eta(A),
% i(eta(A))),quotient(
% difference(
% product(A,A),
% eta(A)),
% eta(A)))),
% quotient(difference(B,product(A,A)),product(A,A))))
% collapsed.
% Rule
% [397]
% product(A,a(B,C,D)) ->
% t(A,difference(eta(x1),quotient(difference(eta(x1),quotient(quotient(
% eta(x1),i(
% eta(x1))),
% quotient(difference(
% a(B,C,D),
% eta(x1)),
% eta(x1)))),quotient(
% difference(A,
% a(B,C,D)),
% a(B,C,D)))))
% collapsed.
% Rule
% [399]
% t(c(A,B),product(C,c(A,B))) ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(eta(A),
% i(eta(A))),quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,c(A,B)),c(A,B)))) collapsed.
% Rule [401] difference(A,quotient(t(A,c(product(A,A),j(A))),j(A))) -> one
% collapsed.
% Rule
% [415]
% t(A,t(A,product(B,A))) <->
% quotient(difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% eta(A),
% i(eta(A))),
% quotient(difference(
% product(A,A),
% eta(A)),
% eta(A)))),quotient(
% difference(B,
% product(A,A)),
% product(A,A)))),A)
% collapsed.
% Rule
% [422]
% quotient(t(eta(A),product(x1,eta(A))),difference(product(A,i(i(i(A)))),x1))
% -> one collapsed.
% Rule [428] difference(product(A,eta(B)),product(A,i(i(B)))) -> B collapsed.
% Rule [430] quotient(product(A,quotient(B,A)),B) -> t(B,c(A,quotient(B,A)))
% collapsed.
% Rule
% [431]
% quotient(product(A,i(i(B))),product(A,eta(B))) -> t(product(A,eta(B)),B)
% collapsed.
% Rule
% [437]
% difference(product(B,A),product(B,product(A,difference(eta(A),difference(A,
% j(B)))))) ->
% quotient(j(A),B) collapsed.
% Rule
% [442]
% t(A,quotient(t(eta(B),product(x1,eta(B))),difference(product(C,A),x1))) <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% eta(A),
% i(
% eta(A))),
% quotient(difference(
% product(A,A),
% eta(A)),
% eta(A)))),quotient(
% difference(
% quotient(
% eta(B),
% i(C)),
% product(A,A)),
% product(A,A)))))
% collapsed.
% Rule
% [444]
% t(a(A,B,C),product(D,a(A,B,C))) ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(eta(A),
% i(eta(A))),quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,a(A,B,C)),a(A,B,C)))) collapsed.
% Rule [450] difference(j(j(A)),product(A,B)) -> difference(eta(A),B)
% collapsed.
% Rule [452] product(A,quotient(B,eta(C))) -> quotient(product(A,B),eta(C))
% collapsed.
% Rule [459] difference(t(product(A,B),c(B,A)),product(B,A)) -> product(A,B)
% collapsed.
% Rule
% [461] quotient(product(A,t(A,B)),product(A,B)) -> t(product(A,B),c(A,t(A,B)))
% collapsed.
% Rule [462] product(A,j(eta(B))) -> quotient(A,eta(B)) collapsed.
% Rule [464] difference(product(A,B),product(A,product(B,eta(C)))) -> eta(C)
% collapsed.
% Rule
% [467]
% quotient(product(A,product(B,eta(C))),product(A,B)) -> t(product(A,B),eta(C))
% collapsed.
% Rule
% [478] product(B,quotient(i(i(B)),difference(difference(j(j(B)),A),B))) -> A
% collapsed.
% Rule
% [485]
% t(c(A,B),product(C,product(D,c(A,B)))) ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(eta(A),
% i(eta(A))),quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(product(C,D),c(A,B)),c(A,B))))
% collapsed.
% Rule
% [492]
% quotient(A,product(B,quotient(A,B))) ->
% t(product(B,quotient(A,B)),c(quotient(A,B),B)) collapsed.
% Rule
% [494]
% product(B,C) <->
% difference(eta(A),quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B)))
% collapsed.
% Rule
% [495]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(A,eta(A)))),quotient(
% difference(A,
% i(A)),
% i(A)))) ->
% eta(A) collapsed.
% Rule
% [497]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(quotient(A,B),
% eta(A)),eta(A)))),
% quotient(difference(B,quotient(A,B)),quotient(A,B)))) -> A
% collapsed.
% Rule
% [500]
% quotient(product(B,product(C,A)),A) <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% t(
% eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(difference(
% product(A,B),
% eta(A)),
% eta(A)))),quotient(
% difference(C,
% product(A,B)),
% product(A,B)))))
% collapsed.
% Rule
% [501]
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% t(
% eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(difference(
% product(A,B),
% eta(A)),
% eta(A)))),quotient(
% difference(C,
% product(A,B)),
% product(A,B)))))
% <-> quotient(product(B,product(C,A)),A) collapsed.
% Rule
% [502]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(product(A,B),
% eta(A)),eta(A)))),
% quotient(difference(c(C,D),product(A,B)),product(A,B))))
% <-> product(A,product(B,c(C,D))) collapsed.
% Rule
% [503]
% product(A,product(B,c(C,D))) <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(product(A,B),
% eta(A)),eta(A)))),
% quotient(difference(c(C,D),product(A,B)),product(A,B))))
% collapsed.
% Rule
% [504]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(product(A,B),
% eta(A)),eta(A)))),
% quotient(difference(a(C,D,E),product(A,B)),product(A,B))))
% <->
% product(A,t(B,difference(eta(x1),quotient(difference(eta(x1),quotient(
% quotient(
% i(i(x1)),
% quotient(
% quotient(
% j(j(x1)),
% j(x1)),x1)),
% quotient(
% difference(
% a(C,D,E),
% eta(x1)),
% eta(x1)))),
% quotient(difference(B,a(C,D,E)),a(C,D,E))))))
% collapsed.
% Rule
% [507]
% t(eta(A),product(B,C)) <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(t(eta(A),B),
% eta(A)),eta(A)))),
% quotient(difference(t(eta(A),C),t(eta(A),B)),t(eta(A),B))))
% collapsed.
% Rule
% [508]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(t(eta(A),B),
% eta(A)),eta(A)))),
% quotient(difference(t(eta(A),C),t(eta(A),B)),t(eta(A),B))))
% <-> t(eta(A),product(B,C)) collapsed.
% Rule
% [510]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(c(A,B),
% eta(A)),eta(A)))),
% quotient(difference(product(C,D),c(A,B)),c(A,B)))) <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(
% difference(C,
% c(A,B)),
% c(A,B)))),
% eta(A)),eta(A)))),
% quotient(difference(D,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,
% c(A,B)),
% c(A,B))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,c(A,B)),c(A,B)))))))
% collapsed.
% Rule
% [511]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(
% difference(C,
% c(A,B)),
% c(A,B)))),
% eta(A)),eta(A)))),
% quotient(difference(D,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,
% c(A,B)),
% c(A,B))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,c(A,B)),c(A,B)))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(c(A,B),
% eta(A)),eta(A)))),
% quotient(difference(product(C,D),c(A,B)),c(A,B))))
% collapsed.
% Rule
% [512]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(a(A,B,C),
% eta(A)),eta(A)))),
% quotient(difference(product(D,E),a(A,B,C)),a(A,B,C)))) <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(
% difference(D,
% a(A,B,C)),
% a(A,B,C)))),
% eta(A)),eta(A)))),
% quotient(difference(E,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,
% a(A,B,C)),
% a(A,B,C))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,a(A,B,C)),a(A,B,C)))))))
% collapsed.
% Rule
% [513]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(
% difference(D,
% a(A,B,C)),
% a(A,B,C)))),
% eta(A)),eta(A)))),
% quotient(difference(E,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,
% a(A,B,C)),
% a(A,B,C))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,a(A,B,C)),a(A,B,C)))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(a(A,B,C),
% eta(A)),eta(A)))),
% quotient(difference(product(D,E),a(A,B,C)),a(A,B,C))))
% collapsed.
% Rule
% [514]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))))),
% eta(A)),eta(A)))),
% quotient(difference(C,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(difference(B,difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(j(A),A))))))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),eta(A)))),
% quotient(difference(product(B,C),difference(eta(A),
% quotient(difference(
% eta(A),quotient(
% quotient(
% t(
% eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(j(A),A))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(product(A,A),
% quotient(j(A),A)),quotient(
% j(A),A)))))))
% collapsed.
% Rule
% [515]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),eta(A)))),
% quotient(difference(product(B,C),difference(eta(A),
% quotient(difference(
% eta(A),quotient(
% quotient(
% t(
% eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(j(A),A))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(product(A,A),
% quotient(j(A),A)),quotient(
% j(A),A)))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))))),
% eta(A)),eta(A)))),
% quotient(difference(C,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(difference(B,difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% product(x1,
% eta(A))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% product(A,A),
% quotient(
% j(A),A)),
% quotient(j(A),A))))))))))
% collapsed.
% Rule
% [534]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% product(x1,
% eta(A))),
% difference(eta(A),x1)),A)),A))
% -> quotient(j(A),A) collapsed.
% Rule [557] product(eta(A),B) -> quotient(eta(A),i(B)) collapsed.
% Current number of equations to process: 2163
% Current number of ordered equations: 389
% Current number of rules: 160
% New rule produced :
% [600] quotient(A,quotient(quotient(j(j(A)),j(A)),A)) -> eta(A)
% Current number of equations to process: 2146
% Current number of ordered equations: 412
% Current number of rules: 161
% New rule produced :
% [601] quotient(A,quotient(difference(difference(A,B),A),A)) -> B
% Current number of equations to process: 2146
% Current number of ordered equations: 411
% Current number of rules: 162
% New rule produced :
% [602] difference(A,quotient(A,quotient(difference(B,A),A))) -> B
% Current number of equations to process: 2146
% Current number of ordered equations: 410
% Current number of rules: 163
% New rule produced :
% [603] quotient(quotient(A,quotient(difference(B,A),A)),B) -> A
% Current number of equations to process: 2146
% Current number of ordered equations: 409
% Current number of rules: 164
% New rule produced :
% [604] quotient(quotient(A,quotient(difference(B,A),A)),A) -> t(A,B)
% Current number of equations to process: 2146
% Current number of ordered equations: 408
% Current number of rules: 165
% New rule produced :
% [605]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),A)),A))
% -> quotient(j(A),A)
% Current number of equations to process: 2146
% Current number of ordered equations: 407
% Current number of rules: 166
% New rule produced :
% [606]
% difference(quotient(A,quotient(difference(B,A),A)),quotient(A,quotient(
% difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A)))
% ->
% quotient(quotient(quotient(C,quotient(difference(quotient(A,quotient(
% difference(B,A),A)),C),C)),B),A)
% Current number of equations to process: 2146
% Current number of ordered equations: 406
% Current number of rules: 167
% New rule produced :
% [607]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(A,eta(A)))),quotient(
% difference(A,
% i(A)),
% i(A)))) ->
% eta(A)
% Current number of equations to process: 2146
% Current number of ordered equations: 405
% Current number of rules: 168
% New rule produced :
% [608]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(difference(quotient(A,B),
% eta(A)),eta(A)))),
% quotient(difference(B,quotient(A,B)),quotient(A,B)))) -> A
% Current number of equations to process: 2146
% Current number of ordered equations: 404
% Current number of rules: 169
% New rule produced :
% [609]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(difference(t(eta(A),B),
% eta(A)),eta(A)))),
% quotient(difference(t(eta(A),C),t(eta(A),B)),t(eta(A),B))))
% -> t(eta(A),quotient(B,quotient(difference(C,B),B)))
% Current number of equations to process: 2146
% Current number of ordered equations: 403
% Current number of rules: 170
% New rule produced :
% [610]
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% eta(A),
% j(
% eta(A))),
% quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(A)),
% eta(A)))),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))))
% <->
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A)
% Current number of equations to process: 1637
% Current number of ordered equations: 1515
% Current number of rules: 171
% New rule produced :
% [611]
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A)
% <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% eta(A),
% j(
% eta(A))),
% quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(A)),
% eta(A)))),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))))
% Current number of equations to process: 1644
% Current number of ordered equations: 1507
% Current number of rules: 172
% New rule produced :
% [612]
% quotient(A,quotient(difference(quotient(B,quotient(difference(c(C,D),B),B)),A),A))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(difference(quotient(A,
% quotient(
% difference(B,A),A)),
% eta(A)),eta(A)))),
% quotient(difference(c(C,D),quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))))
% Current number of equations to process: 1526
% Current number of ordered equations: 1651
% Current number of rules: 173
% New rule produced :
% [613]
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% difference(
% eta(A),x1)),
% quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(A)),
% eta(A)))),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))))
% <->
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A)
% Current number of equations to process: 1524
% Current number of ordered equations: 1652
% Current number of rules: 174
% New rule produced :
% [614]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(difference(quotient(A,
% quotient(
% difference(B,A),A)),
% eta(A)),eta(A)))),
% quotient(difference(c(C,D),quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))) <->
% quotient(A,quotient(difference(quotient(B,quotient(difference(c(C,D),B),B)),A),A))
% Current number of equations to process: 1524
% Current number of ordered equations: 1651
% Current number of rules: 175
% New rule produced :
% [615]
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A)
% <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% difference(
% eta(A),x1)),
% quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(A)),
% eta(A)))),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))))
% Current number of equations to process: 1524
% Current number of ordered equations: 1650
% Current number of rules: 176
% New rule produced :
% [616]
% quotient(A,quotient(difference(t(B,difference(eta(x1),quotient(difference(
% eta(x1),
% quotient(
% quotient(
% i(i(x1)),
% quotient(
% quotient(
% j(j(x1)),
% j(x1)),x1)),
% quotient(
% difference(
% a(C,D,E),
% eta(x1)),
% eta(x1)))),
% quotient(difference(B,
% a(C,D,E)),
% a(C,D,E))))),A),A)) <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(difference(quotient(A,
% quotient(
% difference(B,A),A)),
% eta(A)),eta(A)))),
% quotient(difference(a(C,D,E),quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))))
% Current number of equations to process: 1285
% Current number of ordered equations: 2739
% Current number of rules: 177
% New rule produced :
% [617]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(difference(quotient(A,
% quotient(
% difference(B,A),A)),
% eta(A)),eta(A)))),
% quotient(difference(a(C,D,E),quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))) <->
% quotient(A,quotient(difference(t(B,difference(eta(x1),quotient(difference(
% eta(x1),
% quotient(
% quotient(
% i(i(x1)),
% quotient(
% quotient(
% j(j(x1)),
% j(x1)),x1)),
% quotient(
% difference(
% a(C,D,E),
% eta(x1)),
% eta(x1)))),
% quotient(difference(B,
% a(C,D,E)),
% a(C,D,E))))),A),A))
% Current number of equations to process: 1285
% Current number of ordered equations: 2738
% Current number of rules: 178
% New rule produced :
% [618]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(
% difference(C,
% c(A,B)),
% c(A,B)))),
% eta(A)),eta(A)))),
% quotient(difference(D,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,
% c(A,B)),
% c(A,B))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,c(A,B)),c(A,B)))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(difference(c(A,B),
% eta(A)),eta(A)))),
% quotient(difference(quotient(C,quotient(difference(D,C),C)),
% c(A,B)),c(A,B))))
% Current number of equations to process: 436
% Current number of ordered equations: 4054
% Current number of rules: 179
% New rule produced :
% [619]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(difference(c(A,B),
% eta(A)),eta(A)))),
% quotient(difference(quotient(C,quotient(difference(D,C),C)),
% c(A,B)),c(A,B)))) <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(
% difference(C,
% c(A,B)),
% c(A,B)))),
% eta(A)),eta(A)))),
% quotient(difference(D,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,
% c(A,B)),
% c(A,B))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,c(A,B)),c(A,B)))))))
% Current number of equations to process: 436
% Current number of ordered equations: 4053
% Current number of rules: 180
% New rule produced :
% [620]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(
% difference(D,
% a(A,B,C)),
% a(A,B,C)))),
% eta(A)),eta(A)))),
% quotient(difference(E,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,
% a(A,B,C)),
% a(A,B,C))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,a(A,B,C)),a(A,B,C)))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(difference(a(A,B,C),
% eta(A)),eta(A)))),
% quotient(difference(quotient(D,quotient(difference(E,D),D)),
% a(A,B,C)),a(A,B,C))))
% Current number of equations to process: 363
% Current number of ordered equations: 4210
% Current number of rules: 181
% New rule produced :
% [621]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(difference(a(A,B,C),
% eta(A)),eta(A)))),
% quotient(difference(quotient(D,quotient(difference(E,D),D)),
% a(A,B,C)),a(A,B,C)))) <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(
% difference(D,
% a(A,B,C)),
% a(A,B,C)))),
% eta(A)),eta(A)))),
% quotient(difference(E,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,
% a(A,B,C)),
% a(A,B,C))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,a(A,B,C)),a(A,B,C)))))))
% Current number of equations to process: 363
% Current number of ordered equations: 4209
% Current number of rules: 182
% New rule produced :
% [622]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),eta(A)))),
% quotient(difference(quotient(B,quotient(difference(C,B),B)),
% difference(eta(A),quotient(difference(eta(A),
% quotient(quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(quotient(A,j(A)),
% quotient(j(A),A)),quotient(
% j(A),A)))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))))),
% eta(A)),eta(A)))),
% quotient(difference(C,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(difference(B,difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))))))))))
% Current number of equations to process: 43
% Current number of ordered equations: 5338
% Current number of rules: 183
% New rule produced :
% [623]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))))),
% eta(A)),eta(A)))),
% quotient(difference(C,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(difference(B,difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))))))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),eta(A)))),
% quotient(difference(quotient(B,quotient(difference(C,B),B)),
% difference(eta(A),quotient(difference(eta(A),
% quotient(quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(quotient(A,j(A)),
% quotient(j(A),A)),quotient(
% j(A),A)))))))
% Current number of equations to process: 43
% Current number of ordered equations: 5337
% Current number of rules: 184
% New rule produced : [624] eta(c(A,B)) -> one
% Current number of equations to process: 111
% Current number of ordered equations: 5244
% Current number of rules: 185
% New rule produced : [625] quotient(A,eta(A)) -> i(i(A))
% Rule
% [607]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(A,eta(A)))),quotient(
% difference(A,
% i(A)),
% i(A)))) ->
% eta(A) collapsed.
% Current number of equations to process: 213
% Current number of ordered equations: 5131
% Current number of rules: 185
% New rule produced :
% [626]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% i(i(A)))),quotient(difference(A,
% i(A)),
% i(A)))) -> eta(A)
% Current number of equations to process: 212
% Current number of ordered equations: 5131
% Current number of rules: 186
% Rule [541] difference(A,i(i(A))) -> c(A,i(A)) is composed into [541]
% difference(A,
% i(i(A))) ->
% j(eta(A))
% New rule produced : [627] c(A,i(A)) -> j(eta(A))
% Rule [426] t(eta(A),c(A,i(A))) -> j(eta(A)) collapsed.
% Rule [542] t(A,c(A,i(A))) -> eta(A) collapsed.
% Current number of equations to process: 234
% Current number of ordered equations: 5095
% Current number of rules: 185
% New rule produced : [628] eta(a(one,A,B)) -> one
% Current number of equations to process: 234
% Current number of ordered equations: 5081
% Current number of rules: 186
% New rule produced : [629] c(j(A),A) -> j(eta(A))
% Rule [427] t(eta(A),c(j(A),A)) -> j(eta(A)) collapsed.
% Rule [535] c(j(eta(A)),eta(A)) -> one collapsed.
% Current number of equations to process: 236
% Current number of ordered equations: 5069
% Current number of rules: 185
% New rule produced : [630] eta(a(A,B,C)) -> one
% Rule [628] eta(a(one,A,B)) -> one collapsed.
% Current number of equations to process: 307
% Current number of ordered equations: 4979
% Current number of rules: 185
% New rule produced : [631] eta(quotient(A,i(A))) -> one
% Current number of equations to process: 315
% Current number of ordered equations: 4964
% Current number of rules: 186
% New rule produced : [632] t(A,j(eta(A))) -> eta(A)
% Current number of equations to process: 314
% Current number of ordered equations: 4964
% Current number of rules: 187
% New rule produced : [633] difference(i(i(A)),A) -> eta(A)
% Current number of equations to process: 319
% Current number of ordered equations: 4957
% Current number of rules: 188
% New rule produced : [634] quotient(A,j(j(A))) -> eta(A)
% Current number of equations to process: 321
% Current number of ordered equations: 4952
% Current number of rules: 189
% New rule produced : [635] difference(A,i(A)) -> quotient(j(A),A)
% Rule
% [626]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% i(i(A)))),quotient(difference(A,
% i(A)),
% i(A)))) -> eta(A)
% collapsed.
% Current number of equations to process: 325
% Current number of ordered equations: 4947
% Current number of rules: 189
% New rule produced :
% [636]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% i(i(A)))),j(A))) -> eta(A)
% Current number of equations to process: 324
% Current number of ordered equations: 4947
% Current number of rules: 190
% New rule produced : [637] difference(A,difference(i(A),A)) -> A
% Current number of equations to process: 324
% Current number of ordered equations: 4945
% Current number of rules: 191
% New rule produced : [638] t(j(A),eta(A)) -> j(eta(A))
% Current number of equations to process: 328
% Current number of ordered equations: 4939
% Current number of rules: 192
% New rule produced : [639] t(A,i(i(A))) -> j(j(A))
% Current number of equations to process: 331
% Current number of ordered equations: 4934
% Current number of rules: 193
% New rule produced : [640] difference(A,quotient(A,j(A))) -> A
% Current number of equations to process: 332
% Current number of ordered equations: 4924
% Current number of rules: 194
% New rule produced : [641] quotient(quotient(A,j(A)),A) -> A
% Current number of equations to process: 338
% Current number of ordered equations: 4910
% Current number of rules: 195
% New rule produced : [642] quotient(eta(A),j(j(A))) -> j(A)
% Current number of equations to process: 349
% Current number of ordered equations: 4895
% Current number of rules: 196
% New rule produced : [643] difference(j(eta(A)),j(A)) -> i(A)
% Current number of equations to process: 349
% Current number of ordered equations: 4891
% Current number of rules: 197
% Rule [558]
% quotient(quotient(eta(A),i(B)),difference(difference(eta(A),quotient(
% i(i(A)),
% quotient(
% difference(B,A),A))),B))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% difference(
% eta(A),x1)),
% quotient(i(A),eta(A)))),
% quotient(difference(B,i(i(A))),i(i(A))))) is composed into
% [558]
% quotient(quotient(eta(A),i(B)),difference(difference(eta(A),quotient(
% i(i(A)),quotient(
% difference(B,A),A))),B))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% difference(eta(A),x1)),
% i(i(i(A))))),quotient(difference(B,
% i(
% i(A))),
% i(i(A)))))
% New rule produced : [644] quotient(i(A),eta(A)) -> i(i(i(A)))
% Current number of equations to process: 427
% Current number of ordered equations: 4807
% Current number of rules: 198
% New rule produced : [645] t(j(A),j(eta(A))) -> eta(A)
% Current number of equations to process: 427
% Current number of ordered equations: 4802
% Current number of rules: 199
% New rule produced : [646] j(a(A,B,one)) <-> a(one,A,B)
% Current number of equations to process: 427
% Current number of ordered equations: 4796
% Current number of rules: 200
% New rule produced : [647] a(one,A,B) <-> j(a(A,B,one))
% Current number of equations to process: 427
% Current number of ordered equations: 4790
% Current number of rules: 201
% New rule produced : [648] j(a(A,one,one)) <-> a(one,one,A)
% Current number of equations to process: 427
% Current number of ordered equations: 4787
% Current number of rules: 202
% New rule produced : [649] a(one,one,A) <-> j(a(A,one,one))
% Current number of equations to process: 427
% Current number of ordered equations: 4784
% Current number of rules: 203
% Rule [592] quotient(i(i(A)),eta(A)) -> t(eta(A),A) is composed into [592]
% quotient(
% i(
% i(A)),
% eta(A))
% ->
% i(
% i(
% i(i(A))))
% New rule produced : [650] t(eta(A),A) -> i(i(i(i(A))))
% Current number of equations to process: 438
% Current number of ordered equations: 4769
% Current number of rules: 204
% New rule produced : [651] quotient(i(A),A) -> i(quotient(A,i(A)))
% Rule [336] quotient(i(i(A)),i(A)) -> i(quotient(j(A),A)) collapsed.
% Current number of equations to process: 443
% Current number of ordered equations: 4747
% Current number of rules: 204
% Rule [77] quotient(quotient(j(A),A),j(A)) -> t(j(A),i(A)) is composed into
% [77] quotient(quotient(j(A),A),j(A)) -> j(j(j(A)))
% New rule produced : [652] t(j(A),i(A)) -> j(j(j(A)))
% Rule [381] difference(t(j(A),i(A)),quotient(j(A),A)) -> j(A) collapsed.
% Rule [441] quotient(quotient(j(A),A),t(j(A),i(A))) -> t(t(j(A),i(A)),j(A))
% collapsed.
% Current number of equations to process: 454
% Current number of ordered equations: 4712
% Current number of rules: 203
% New rule produced : [653] j(a(A,one,B)) <-> a(one,B,j(A))
% Current number of equations to process: 454
% Current number of ordered equations: 4705
% Current number of rules: 204
% New rule produced : [654] a(one,B,j(A)) <-> j(a(A,one,B))
% Current number of equations to process: 454
% Current number of ordered equations: 4698
% Current number of rules: 205
% New rule produced : [655] quotient(i(i(A)),j(eta(A))) -> A
% Current number of equations to process: 455
% Current number of ordered equations: 4695
% Current number of rules: 206
% Rule [581] a(A,B,C) <-> a(C,j(A),i(B)) is composed into [581]
% a(A,B,C) <->
% a(C,j(A),j(B))
% Rule [566] a(j(A),B,C) <-> a(C,A,i(B)) is composed into [566]
% a(j(A),B,C) <->
% a(C,A,j(B))
% Rule [544] a(one,A,B) <-> a(B,one,i(A)) is composed into [544]
% a(one,A,B) <->
% a(B,one,j(A))
% Rule [539] a(A,B,C) <-> a(B,C,i(A)) is composed into [539]
% a(A,B,C) <-> a(B,C,j(A))
% New rule produced : [656] a(A,B,i(C)) -> a(A,B,j(C))
% Rule [357] a(j(A),B,i(C)) -> a(A,j(B),C) collapsed.
% Rule [540] a(B,C,i(A)) <-> a(A,B,C) collapsed.
% Rule [545] a(B,one,i(A)) <-> a(one,A,B) collapsed.
% Rule [567] a(C,A,i(B)) <-> a(j(A),B,C) collapsed.
% Rule [572] a(one,A,i(B)) -> a(one,A,j(B)) collapsed.
% Rule [582] a(C,j(A),i(B)) <-> a(A,B,C) collapsed.
% Current number of equations to process: 609
% Current number of ordered equations: 4302
% Current number of rules: 201
% New rule produced : [657] t(i(i(A)),eta(A)) -> j(eta(A))
% Current number of equations to process: 609
% Current number of ordered equations: 4301
% Current number of rules: 202
% Rule [651] quotient(i(A),A) -> i(quotient(A,i(A))) is composed into [651]
% quotient(
% i(A),A)
% ->
% j(
% quotient(A,
% i(A)))
% New rule produced : [658] i(quotient(A,i(A))) -> j(quotient(A,i(A)))
% Rule [579] i(i(quotient(A,i(A)))) -> quotient(A,i(A)) collapsed.
% Current number of equations to process: 609
% Current number of ordered equations: 4276
% Current number of rules: 202
% New rule produced : [659] t(eta(A),j(j(j(A)))) -> i(A)
% Current number of equations to process: 609
% Current number of ordered equations: 4274
% Current number of rules: 203
% New rule produced : [660] quotient(j(j(j(A))),eta(A)) -> j(A)
% Current number of equations to process: 609
% Current number of ordered equations: 4273
% Current number of rules: 204
% New rule produced : [661] quotient(j(A),j(eta(A))) -> j(j(j(A)))
% Current number of equations to process: 611
% Current number of ordered equations: 4270
% Current number of rules: 205
% New rule produced : [662] quotient(difference(A,j(A)),j(A)) -> j(A)
% Current number of equations to process: 630
% Current number of ordered equations: 4249
% Current number of rules: 206
% New rule produced : [663] difference(j(eta(A)),i(A)) -> i(i(i(A)))
% Current number of equations to process: 630
% Current number of ordered equations: 4248
% Current number of rules: 207
% New rule produced : [664] difference(eta(A),i(i(i(A)))) -> i(A)
% Current number of equations to process: 630
% Current number of ordered equations: 4247
% Current number of rules: 208
% Rule [559]
% difference(eta(A),quotient(i(i(A)),quotient(difference(quotient(
% eta(A),i(B)),A),A)))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% difference(
% eta(A),x1)),
% quotient(difference(
% j(j(A)),eta(A)),
% eta(A)))),quotient(
% difference(B,
% j(j(A))),
% j(j(A))))) is composed into
% [559]
% difference(eta(A),quotient(i(i(A)),quotient(difference(quotient(eta(A),i(B)),A),A)))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% difference(eta(A),x1)),
% quotient(j(j(j(A))),eta(A)))),
% quotient(difference(B,j(j(A))),j(j(A)))))
% New rule produced : [665] difference(j(j(A)),eta(A)) -> j(j(j(A)))
% Current number of equations to process: 696
% Current number of ordered equations: 4180
% Current number of rules: 209
% New rule produced : [666] j(a(A,one,j(B))) <-> a(one,B,A)
% Current number of equations to process: 694
% Current number of ordered equations: 4177
% Current number of rules: 210
% New rule produced : [667] a(one,B,A) <-> j(a(A,one,j(B)))
% Current number of equations to process: 694
% Current number of ordered equations: 4172
% Current number of rules: 211
% New rule produced : [668] a(A,B,j(j(C))) -> a(A,B,C)
% Rule [580] a(one,A,j(j(B))) -> a(one,A,B) collapsed.
% Current number of equations to process: 700
% Current number of ordered equations: 4123
% Current number of rules: 211
% New rule produced : [669] quotient(j(eta(A)),i(i(A))) -> j(A)
% Current number of equations to process: 700
% Current number of ordered equations: 4122
% Current number of rules: 212
% New rule produced : [670] i(t(eta(A),j(B))) -> t(eta(A),B)
% Current number of equations to process: 700
% Current number of ordered equations: 4121
% Current number of rules: 213
% Rule [558]
% quotient(quotient(eta(A),i(B)),difference(difference(eta(A),quotient(
% i(i(A)),
% quotient(
% difference(B,A),A))),B))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% difference(
% eta(A),x1)),
% i(i(i(A))))),quotient(
% difference(B,
% i(i(A))),
% i(i(A))))) is composed into
% [558]
% quotient(quotient(eta(A),i(B)),difference(difference(eta(A),quotient(
% i(i(A)),quotient(
% difference(B,A),A))),B))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% difference(eta(A),x1)),
% i(i(i(A))))),quotient(i(
% i(
% quotient(
% j(B),
% i(A)))),
% i(i(A)))))
% New rule produced : [671] difference(A,i(B)) -> i(i(quotient(j(A),B)))
% Rule [527] difference(eta(A),i(A)) -> j(A) collapsed.
% Rule [531] difference(eta(A),i(i(A))) -> A collapsed.
% Rule [536] difference(j(A),i(A)) -> j(eta(A)) collapsed.
% Rule [541] difference(A,i(i(A))) -> j(eta(A)) collapsed.
% Rule [571] difference(i(A),i(B)) -> i(i(quotient(A,B))) collapsed.
% Rule [635] difference(A,i(A)) -> quotient(j(A),A) collapsed.
% Rule [663] difference(j(eta(A)),i(A)) -> i(i(i(A))) collapsed.
% Rule [664] difference(eta(A),i(i(i(A)))) -> i(A) collapsed.
% Current number of equations to process: 807
% Current number of ordered equations: 3981
% Current number of rules: 206
% New rule produced : [672] i(i(quotient(j(eta(A)),A))) -> j(A)
% Current number of equations to process: 806
% Current number of ordered equations: 3981
% Current number of rules: 207
% New rule produced : [673] i(i(quotient(j(A),A))) -> quotient(j(A),A)
% Current number of equations to process: 803
% Current number of ordered equations: 3981
% Current number of rules: 208
% New rule produced : [674] quotient(A,j(difference(A,eta(B)))) -> eta(B)
% Current number of equations to process: 803
% Current number of ordered equations: 3980
% Current number of rules: 209
% New rule produced : [675] difference(eta(A),quotient(eta(A),B)) -> j(B)
% Current number of equations to process: 810
% Current number of ordered equations: 3970
% Current number of rules: 210
% New rule produced : [676] difference(A,quotient(A,j(eta(B)))) -> eta(B)
% Current number of equations to process: 810
% Current number of ordered equations: 3968
% Current number of rules: 211
% New rule produced : [677] quotient(quotient(A,i(A)),i(i(A))) -> A
% Current number of equations to process: 810
% Current number of ordered equations: 3964
% Current number of rules: 212
% New rule produced : [678] difference(j(eta(A)),j(j(A))) -> A
% Current number of equations to process: 810
% Current number of ordered equations: 3962
% Current number of rules: 213
% New rule produced : [679] difference(i(i(i(A))),eta(A)) -> i(i(A))
% Current number of equations to process: 810
% Current number of ordered equations: 3959
% Current number of rules: 214
% Rule [574] a(A,B,j(C)) <-> a(j(B),C,A) is composed into [574]
% a(A,B,j(C)) <->
% a(B,j(C),j(A))
% Rule [70] a(A,B,C) <-> a(j(B),j(C),A) is composed into [70]
% a(A,B,C) <->
% a(B,j(j(C)),j(A))
% Rule [15] a(i(A),B,C) -> a(j(A),B,C) is composed into [15]
% a(i(A),B,C) ->
% a(A,j(B),j(C))
% Rule [14] a(B,C,A) <-> a(j(A),B,C) is composed into [14]
% a(B,C,A) <->
% a(A,j(B),j(C))
% New rule produced : [680] a(j(A),B,C) -> a(A,j(B),j(C))
% Rule [12] a(j(A),B,C) <-> a(B,C,A) collapsed.
% Rule [69] a(j(B),j(C),A) <-> a(A,B,C) collapsed.
% Rule [331] a(j(A),B,C) <-> a(B,j(j(C)),A) collapsed.
% Rule [355] a(j(A),B,j(C)) -> a(A,j(B),C) collapsed.
% Rule [566] a(j(A),B,C) <-> a(C,A,j(B)) collapsed.
% Rule [573] a(j(B),C,A) <-> a(A,B,j(C)) collapsed.
% Rule [583] a(j(j(A)),B,C) -> a(A,B,C) collapsed.
% Current number of equations to process: 995
% Current number of ordered equations: 3460
% Current number of rules: 208
% New rule produced : [681] t(j(eta(A)),i(i(A))) -> j(j(A))
% Current number of equations to process: 996
% Current number of ordered equations: 3455
% Current number of rules: 209
% New rule produced : [682] quotient(j(eta(A)),i(i(i(A)))) -> A
% Current number of equations to process: 996
% Current number of ordered equations: 3454
% Current number of rules: 210
% New rule produced : [683] i(i(quotient(j(eta(A)),i(A)))) -> A
% Current number of equations to process: 994
% Current number of ordered equations: 3454
% Current number of rules: 211
% New rule produced : [684] i(difference(i(A),A)) -> quotient(i(A),i(i(A)))
% Current number of equations to process: 994
% Current number of ordered equations: 3453
% Current number of rules: 212
% New rule produced : [685] t(i(i(i(A))),eta(A)) -> j(eta(A))
% Current number of equations to process: 994
% Current number of ordered equations: 3452
% Current number of rules: 213
% New rule produced : [686] difference(eta(A),j(j(A))) -> j(j(j(j(A))))
% Current number of equations to process: 992
% Current number of ordered equations: 3451
% Current number of rules: 214
% New rule produced : [687] difference(j(j(A)),quotient(A,i(A))) -> A
% Current number of equations to process: 992
% Current number of ordered equations: 3450
% Current number of rules: 215
% New rule produced : [688] i(difference(eta(B),A)) -> quotient(i(A),j(eta(B)))
% Current number of equations to process: 1005
% Current number of ordered equations: 3432
% Current number of rules: 216
% New rule produced : [689] difference(j(eta(A)),difference(eta(A),B)) -> B
% Current number of equations to process: 1006
% Current number of ordered equations: 3430
% Current number of rules: 217
% New rule produced : [690] quotient(quotient(A,eta(B)),A) -> t(A,j(eta(B)))
% Current number of equations to process: 1006
% Current number of ordered equations: 3428
% Current number of rules: 218
% New rule produced : [691] quotient(quotient(A,eta(B)),j(eta(B))) -> A
% Current number of equations to process: 1010
% Current number of ordered equations: 3422
% Current number of rules: 219
% New rule produced : [692] difference(B,j(eta(A))) -> i(quotient(eta(A),i(B)))
% Rule [591] j(difference(A,j(eta(B)))) -> quotient(eta(B),i(A)) collapsed.
% Current number of equations to process: 1075
% Current number of ordered equations: 3302
% Current number of rules: 219
% New rule produced : [693] i(quotient(eta(B),i(A))) <-> quotient(i(A),eta(B))
% Current number of equations to process: 1075
% Current number of ordered equations: 3300
% Current number of rules: 220
% New rule produced : [694] quotient(i(A),eta(B)) <-> i(quotient(eta(B),i(A)))
% Rule [592] quotient(i(i(A)),eta(A)) -> i(i(i(i(A)))) collapsed.
% Rule [644] quotient(i(A),eta(A)) -> i(i(i(A))) collapsed.
% Current number of equations to process: 1077
% Current number of ordered equations: 3296
% Current number of rules: 219
% New rule produced : [695] i(difference(j(eta(B)),A)) -> quotient(i(A),eta(B))
% Current number of equations to process: 1077
% Current number of ordered equations: 3295
% Current number of rules: 220
% New rule produced : [696] difference(eta(A),difference(j(eta(A)),B)) -> B
% Current number of equations to process: 1077
% Current number of ordered equations: 3294
% Current number of rules: 221
% Rule [621]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% difference(
% eta(A),x1)),
% quotient(difference(
% a(A,B,C),eta(A)),
% eta(A)))),quotient(
% difference(
% quotient(D,
% quotient(
% difference(E,D),D)),
% a(A,B,C)),
% a(A,B,C)))) <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% difference(
% eta(A),x1)),
% quotient(difference(
% difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(
% difference(D,
% a(A,B,C)),
% a(A,B,C)))),
% eta(A)),eta(A)))),
% quotient(difference(E,difference(eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(
% difference(D,
% a(A,B,C)),
% a(A,B,C))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,a(A,B,C)),
% a(A,B,C))))))) is composed into
% [621]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(difference(a(A,B,C),
% eta(A)),eta(A)))),
% quotient(difference(quotient(D,quotient(difference(E,D),D)),
% a(A,B,C)),a(A,B,C)))) <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,
% a(A,B,C)),
% a(A,B,C))),eta(A)))),
% quotient(difference(E,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,
% a(A,B,C)),
% a(A,B,C))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,a(A,B,C)),a(A,B,C)))))))
% Rule [619]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% difference(
% eta(A),x1)),
% quotient(difference(
% c(A,B),eta(A)),
% eta(A)))),quotient(
% difference(
% quotient(C,
% quotient(
% difference(D,C),C)),
% c(A,B)),c(A,B))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% difference(
% eta(A),x1)),
% quotient(difference(
% difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(
% difference(C,
% c(A,B)),
% c(A,B)))),
% eta(A)),eta(A)))),
% quotient(difference(D,difference(eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(
% difference(C,
% c(A,B)),
% c(A,B))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,c(A,B)),
% c(A,B))))))) is composed into
% [619]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(difference(c(A,B),
% eta(A)),eta(A)))),
% quotient(difference(quotient(C,quotient(difference(D,C),C)),
% c(A,B)),c(A,B)))) <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,
% c(A,B)),
% c(A,B))),eta(A)))),
% quotient(difference(D,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,
% c(A,B)),
% c(A,B))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,c(A,B)),c(A,B)))))))
% Rule [587]
% difference(eta(A),quotient(i(i(A)),quotient(difference(t(B,difference(
% eta(x1),
% quotient(
% difference(
% eta(x1),
% quotient(
% quotient(
% i(i(x1)),
% quotient(
% quotient(
% j(j(x1)),
% j(x1)),x1)),
% quotient(
% difference(
% a(C,D,E),
% eta(x1)),
% eta(x1)))),
% quotient(
% difference(B,
% a(C,D,E)),
% a(C,D,E))))),A),A)))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% difference(
% eta(A),x1)),
% quotient(difference(
% difference(
% eta(A),quotient(
% i(i(A)),
% quotient(
% difference(B,A),A))),
% eta(A)),eta(A)))),
% quotient(difference(a(C,D,E),difference(eta(A),
% quotient(i(i(A)),
% quotient(difference(B,A),A)))),
% difference(eta(A),quotient(i(i(A)),quotient(difference(B,A),A)))))) is composed into
% [587]
% difference(eta(A),quotient(i(i(A)),quotient(difference(t(B,difference(
% eta(x1),quotient(
% difference(
% eta(x1),
% quotient(
% quotient(
% i(
% i(x1)),
% quotient(
% quotient(
% j(
% j(x1)),
% j(x1)),x1)),
% quotient(
% difference(
% a(C,D,E),
% eta(x1)),
% eta(x1)))),
% quotient(
% difference(B,
% a(C,D,E)),
% a(C,D,E))))),A),A)))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% difference(eta(A),x1)),
% difference(quotient(i(i(A)),
% quotient(difference(B,A),A)),
% eta(A)))),quotient(difference(
% a(C,D,E),
% difference(
% eta(A),
% quotient(
% i(i(A)),
% quotient(
% difference(B,A),A)))),
% difference(eta(A),
% quotient(i(i(A)),
% quotient(difference(B,A),A))))))
% New rule produced :
% [697] quotient(difference(difference(B,A),B),B) -> difference(A,B)
% Rule [601] quotient(A,quotient(difference(difference(A,B),A),A)) -> B
% collapsed.
% Rule
% [618]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(
% difference(C,
% c(A,B)),
% c(A,B)))),
% eta(A)),eta(A)))),
% quotient(difference(D,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,
% c(A,B)),
% c(A,B))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,c(A,B)),c(A,B)))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(difference(c(A,B),
% eta(A)),eta(A)))),
% quotient(difference(quotient(C,quotient(difference(D,C),C)),
% c(A,B)),c(A,B)))) collapsed.
% Rule
% [620]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(
% difference(D,
% a(A,B,C)),
% a(A,B,C)))),
% eta(A)),eta(A)))),
% quotient(difference(E,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,
% a(A,B,C)),
% a(A,B,C))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,a(A,B,C)),a(A,B,C)))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(difference(a(A,B,C),
% eta(A)),eta(A)))),
% quotient(difference(quotient(D,quotient(difference(E,D),D)),
% a(A,B,C)),a(A,B,C)))) collapsed.
% Rule
% [622]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),eta(A)))),
% quotient(difference(quotient(B,quotient(difference(C,B),B)),
% difference(eta(A),quotient(difference(eta(A),
% quotient(quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(quotient(A,j(A)),
% quotient(j(A),A)),quotient(
% j(A),A)))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))))),
% eta(A)),eta(A)))),
% quotient(difference(C,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(difference(B,difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))))))))))
% collapsed.
% Rule
% [623]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))))),
% eta(A)),eta(A)))),
% quotient(difference(C,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),
% eta(A)))),
% quotient(difference(B,difference(
% eta(A),quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))))))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(difference(difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))),
% eta(A)),eta(A)))),
% quotient(difference(quotient(B,quotient(difference(C,B),B)),
% difference(eta(A),quotient(difference(eta(A),
% quotient(quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(quotient(A,j(A)),
% quotient(j(A),A)),quotient(
% j(A),A)))))))
% collapsed.
% Current number of equations to process: 2096
% Current number of ordered equations: 1845
% Current number of rules: 217
% New rule produced :
% [698]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A)))))),
% eta(A)))),quotient(difference(C,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))))))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))),
% eta(A)))),quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A)))))))
% Current number of equations to process: 47
% Current number of ordered equations: 5379
% Current number of rules: 218
% New rule produced :
% [699]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))),
% eta(A)))),quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A)))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A)))))),
% eta(A)))),quotient(difference(C,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))))))))))
% Current number of equations to process: 47
% Current number of ordered equations: 5378
% Current number of rules: 219
% New rule produced : [700] eta(quotient(j(A),A)) -> one
% Current number of equations to process: 57
% Current number of ordered equations: 5354
% Current number of rules: 220
% New rule produced : [701] eta(difference(i(A),A)) -> one
% Current number of equations to process: 87
% Current number of ordered equations: 5316
% Current number of rules: 221
% New rule produced : [702] t(i(A),j(eta(A))) -> eta(A)
% Current number of equations to process: 87
% Current number of ordered equations: 5315
% Current number of rules: 222
% Rule [649] a(one,one,A) <-> j(a(A,one,one)) is composed into [649]
% a(one,one,A) <->
% a(A,one,one)
% Rule [647] a(one,A,B) <-> j(a(A,B,one)) is composed into [647]
% a(one,A,B) <->
% a(A,B,one)
% New rule produced : [703] j(a(A,B,one)) -> a(A,B,one)
% Rule [646] j(a(A,B,one)) <-> a(one,A,B) collapsed.
% Rule [648] j(a(A,one,one)) <-> a(one,one,A) collapsed.
% Current number of equations to process: 123
% Current number of ordered equations: 5134
% Current number of rules: 221
% New rule produced : [704] j(quotient(j(A),A)) -> quotient(A,j(A))
% Current number of equations to process: 132
% Current number of ordered equations: 5124
% Current number of rules: 222
% Rule [667] a(one,B,A) <-> j(a(A,one,j(B))) is composed into [667]
% a(one,B,A) <->
% a(A,one,j(B))
% Rule [654] a(one,B,j(A)) <-> j(a(A,one,B)) is composed into [654]
% a(one,B,j(A)) <->
% a(A,one,B)
% New rule produced : [705] j(a(A,one,B)) -> a(A,one,B)
% Rule [653] j(a(A,one,B)) <-> a(one,B,j(A)) collapsed.
% Rule [666] j(a(A,one,j(B))) <-> a(one,B,A) collapsed.
% Current number of equations to process: 168
% Current number of ordered equations: 4933
% Current number of rules: 221
% New rule produced : [706] eta(quotient(j(eta(A)),A)) -> eta(A)
% Current number of equations to process: 187
% Current number of ordered equations: 4908
% Current number of rules: 222
% New rule produced : [707] j(difference(B,eta(A))) <-> difference(eta(A),B)
% Current number of equations to process: 187
% Current number of ordered equations: 4906
% Current number of rules: 223
% Rule [616]
% quotient(A,quotient(difference(t(B,difference(eta(x1),quotient(difference(
% eta(x1),
% quotient(
% quotient(
% i(
% i(x1)),
% quotient(
% quotient(
% j(
% j(x1)),
% j(x1)),x1)),
% quotient(
% difference(
% a(C,D,E),
% eta(x1)),
% eta(x1)))),
% quotient(difference(B,
% a(C,D,E)),
% a(C,D,E))))),A),A))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% difference(
% eta(A),x1)),
% quotient(difference(
% quotient(A,
% quotient(difference(B,A),A)),
% eta(A)),eta(A)))),
% quotient(difference(a(C,D,E),quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))) is composed into
% [616]
% quotient(A,quotient(difference(t(B,difference(eta(x1),quotient(difference(
% eta(x1),
% quotient(
% quotient(
% i(i(x1)),
% quotient(
% quotient(
% j(j(x1)),
% j(x1)),x1)),
% quotient(
% difference(
% a(C,D,E),
% eta(x1)),
% eta(x1)))),
% quotient(difference(B,
% a(C,D,E)),
% a(C,D,E))))),A),A)) <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% quotient(difference(quotient(A,
% quotient(
% difference(B,A),A)),
% eta(A)),eta(A)))),
% quotient(difference(a(C,D,E),quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))))
% Rule [615]
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A)
% <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(A)),
% eta(A)))),
% quotient(difference(C,quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))))) is composed into
% [615]
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A)
% <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% difference(x1,
% eta(A)))),
% quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(A)),
% eta(A)))),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))))
% Rule [612]
% quotient(A,quotient(difference(quotient(B,quotient(difference(c(C,D),B),B)),A),A))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% difference(
% eta(A),x1)),
% quotient(difference(
% quotient(A,
% quotient(difference(B,A),A)),
% eta(A)),eta(A)))),
% quotient(difference(c(C,D),quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))) is composed into
% [612]
% quotient(A,quotient(difference(quotient(B,quotient(difference(c(C,D),B),B)),A),A))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% quotient(difference(quotient(A,
% quotient(
% difference(B,A),A)),
% eta(A)),eta(A)))),
% quotient(difference(c(C,D),quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))))
% Rule [587]
% difference(eta(A),quotient(i(i(A)),quotient(difference(t(B,difference(
% eta(x1),
% quotient(
% difference(
% eta(x1),
% quotient(
% quotient(
% i(i(x1)),
% quotient(
% quotient(
% j(j(x1)),
% j(x1)),x1)),
% quotient(
% difference(
% a(C,D,E),
% eta(x1)),
% eta(x1)))),
% quotient(
% difference(B,
% a(C,D,E)),
% a(C,D,E))))),A),A)))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% difference(
% eta(A),x1)),
% difference(quotient(
% i(i(A)),
% quotient(
% difference(B,A),A)),
% eta(A)))),quotient(
% difference(
% a(C,D,E),
% difference(
% eta(A),quotient(
% i(
% i(A)),
% quotient(
% difference(B,A),A)))),
% difference(
% eta(A),quotient(
% i(
% i(A)),
% quotient(
% difference(B,A),A)))))) is composed into
% [587]
% difference(eta(A),quotient(i(i(A)),quotient(difference(t(B,difference(
% eta(x1),quotient(
% difference(
% eta(x1),
% quotient(
% quotient(
% i(
% i(x1)),
% quotient(
% quotient(
% j(
% j(x1)),
% j(x1)),x1)),
% quotient(
% difference(
% a(C,D,E),
% eta(x1)),
% eta(x1)))),
% quotient(
% difference(B,
% a(C,D,E)),
% a(C,D,E))))),A),A)))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% j(difference(x1,eta(A)))),
% difference(quotient(i(i(A)),
% quotient(difference(B,A),A)),
% eta(A)))),quotient(difference(
% a(C,D,E),
% difference(
% eta(A),
% quotient(
% i(i(A)),
% quotient(
% difference(B,A),A)))),
% difference(eta(A),
% quotient(i(i(A)),
% quotient(difference(B,A),A))))))
% Rule [559]
% difference(eta(A),quotient(i(i(A)),quotient(difference(quotient(
% eta(A),i(B)),A),A)))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% difference(
% eta(A),x1)),
% quotient(j(j(j(A))),
% eta(A)))),quotient(
% difference(B,
% j(j(A))),
% j(j(A))))) is composed into
% [559]
% difference(eta(A),quotient(i(i(A)),quotient(difference(quotient(eta(A),i(B)),A),A)))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% j(difference(x1,eta(A)))),
% quotient(j(j(j(A))),eta(A)))),
% quotient(difference(B,j(j(A))),j(j(A)))))
% Rule [558]
% quotient(quotient(eta(A),i(B)),difference(difference(eta(A),quotient(
% i(i(A)),
% quotient(
% difference(B,A),A))),B))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% difference(
% eta(A),x1)),
% i(i(i(A))))),quotient(
% i(i(quotient(
% j(B),
% i(A)))),
% i(i(A))))) is composed into
% [558]
% quotient(quotient(eta(A),i(B)),difference(difference(eta(A),quotient(
% i(i(A)),quotient(
% difference(B,A),A))),B))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% j(difference(x1,eta(A)))),
% i(i(i(A))))),quotient(i(
% i(
% quotient(
% j(B),
% i(A)))),
% i(i(A)))))
% New rule produced : [708] difference(eta(A),B) <-> j(difference(B,eta(A)))
% Rule [586] difference(eta(A),A) -> quotient(quotient(j(j(A)),j(A)),A)
% collapsed.
% Rule
% [597]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% difference(eta(A),x1)),
% quotient(quotient(difference(B,
% eta(A)),
% eta(A)),eta(A)))),
% quotient(difference(C,quotient(eta(A),i(B))),quotient(
% eta(A),
% i(B))))) ->
% quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B)) collapsed.
% Rule
% [598]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% difference(eta(A),x1)),
% quotient(difference(a(A,B,C),
% eta(A)),eta(A)))),
% quotient(difference(difference(C,t(a(C,A,B),difference(
% eta(A),
% quotient(
% quotient(
% eta(A),
% i(C)),quotient(
% difference(
% a(C,A,B),C),C))))),
% a(A,B,C)),a(A,B,C)))) -> one collapsed.
% Rule
% [605]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),A)),A))
% -> quotient(j(A),A) collapsed.
% Rule
% [608]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(difference(quotient(A,B),
% eta(A)),eta(A)))),
% quotient(difference(B,quotient(A,B)),quotient(A,B)))) -> A
% collapsed.
% Rule
% [609]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(difference(t(eta(A),B),
% eta(A)),eta(A)))),
% quotient(difference(t(eta(A),C),t(eta(A),B)),t(eta(A),B))))
% -> t(eta(A),quotient(B,quotient(difference(C,B),B))) collapsed.
% Rule
% [613]
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% difference(
% eta(A),x1)),
% quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(A)),
% eta(A)))),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))))
% <->
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A)
% collapsed.
% Rule
% [614]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(difference(quotient(A,
% quotient(
% difference(B,A),A)),
% eta(A)),eta(A)))),
% quotient(difference(c(C,D),quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))) <->
% quotient(A,quotient(difference(quotient(B,quotient(difference(c(C,D),B),B)),A),A))
% collapsed.
% Rule
% [617]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(difference(quotient(A,
% quotient(
% difference(B,A),A)),
% eta(A)),eta(A)))),
% quotient(difference(a(C,D,E),quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))) <->
% quotient(A,quotient(difference(t(B,difference(eta(x1),quotient(difference(
% eta(x1),
% quotient(
% quotient(
% i(i(x1)),
% quotient(
% quotient(
% j(j(x1)),
% j(x1)),x1)),
% quotient(
% difference(
% a(C,D,E),
% eta(x1)),
% eta(x1)))),
% quotient(difference(B,
% a(C,D,E)),
% a(C,D,E))))),A),A))
% collapsed.
% Rule
% [619]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(difference(c(A,B),
% eta(A)),eta(A)))),
% quotient(difference(quotient(C,quotient(difference(D,C),C)),
% c(A,B)),c(A,B)))) <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,
% c(A,B)),
% c(A,B))),eta(A)))),
% quotient(difference(D,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,
% c(A,B)),
% c(A,B))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,c(A,B)),c(A,B)))))))
% collapsed.
% Rule
% [621]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% quotient(difference(a(A,B,C),
% eta(A)),eta(A)))),
% quotient(difference(quotient(D,quotient(difference(E,D),D)),
% a(A,B,C)),a(A,B,C)))) <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,
% a(A,B,C)),
% a(A,B,C))),eta(A)))),
% quotient(difference(E,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,
% a(A,B,C)),
% a(A,B,C))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,a(A,B,C)),a(A,B,C)))))))
% collapsed.
% Rule
% [636]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% i(i(A)))),j(A))) -> eta(A)
% collapsed.
% Rule
% [698]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A)))))),
% eta(A)))),quotient(difference(C,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))))))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))),
% eta(A)))),quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A)))))))
% collapsed.
% Rule
% [699]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))),
% eta(A)))),quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A)))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(eta(A),x1)),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A)))))),
% eta(A)))),quotient(difference(C,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% difference(
% eta(A),x1)),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))))))))))
% collapsed.
% Current number of equations to process: 2381
% Current number of ordered equations: 1917
% Current number of rules: 210
% New rule produced :
% [709]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),A)),A))
% -> quotient(j(A),A)
% Current number of equations to process: 2369
% Current number of ordered equations: 1928
% Current number of rules: 211
% New rule produced :
% [710]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% i(i(A)))),j(A))) -> eta(A)
% Current number of equations to process: 2369
% Current number of ordered equations: 1927
% Current number of rules: 212
% New rule produced :
% [711]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% quotient(difference(quotient(A,B),
% eta(A)),eta(A)))),
% quotient(difference(B,quotient(A,B)),quotient(A,B)))) -> A
% Current number of equations to process: 2369
% Current number of ordered equations: 1926
% Current number of rules: 213
% New rule produced :
% [712]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% j(difference(x1,eta(A)))),
% quotient(quotient(difference(B,
% eta(A)),
% eta(A)),eta(A)))),
% quotient(difference(C,quotient(eta(A),i(B))),quotient(
% eta(A),
% i(B))))) ->
% quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B))
% Current number of equations to process: 2369
% Current number of ordered equations: 1925
% Current number of rules: 214
% New rule produced :
% [713]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% quotient(difference(t(eta(A),B),
% eta(A)),eta(A)))),
% quotient(difference(t(eta(A),C),t(eta(A),B)),t(eta(A),B))))
% -> t(eta(A),quotient(B,quotient(difference(C,B),B)))
% Current number of equations to process: 2369
% Current number of ordered equations: 1924
% Current number of rules: 215
% New rule produced :
% [714]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% j(difference(x1,eta(A)))),
% quotient(difference(a(A,B,C),
% eta(A)),eta(A)))),
% quotient(difference(difference(C,t(a(C,A,B),difference(
% eta(A),
% quotient(
% quotient(
% eta(A),
% i(C)),quotient(
% difference(
% a(C,A,B),C),C))))),
% a(A,B,C)),a(A,B,C)))) -> one
% Current number of equations to process: 2369
% Current number of ordered equations: 1923
% Current number of rules: 216
% New rule produced :
% [715]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% quotient(difference(c(A,B),
% eta(A)),eta(A)))),
% quotient(difference(quotient(C,quotient(difference(D,C),C)),
% c(A,B)),c(A,B)))) <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,
% c(A,B)),
% c(A,B))),eta(A)))),
% quotient(difference(D,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% difference(x1,
% eta(A)))),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,
% c(A,B)),
% c(A,B))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,c(A,B)),c(A,B)))))))
% Current number of equations to process: 515
% Current number of ordered equations: 4380
% Current number of rules: 217
% New rule produced :
% [716]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,
% c(A,B)),
% c(A,B))),eta(A)))),
% quotient(difference(D,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% difference(x1,
% eta(A)))),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,
% c(A,B)),
% c(A,B))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,c(A,B)),c(A,B)))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% quotient(difference(c(A,B),
% eta(A)),eta(A)))),
% quotient(difference(quotient(C,quotient(difference(D,C),C)),
% c(A,B)),c(A,B))))
% Current number of equations to process: 515
% Current number of ordered equations: 4379
% Current number of rules: 218
% New rule produced :
% [717]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% quotient(difference(a(A,B,C),
% eta(A)),eta(A)))),
% quotient(difference(quotient(D,quotient(difference(E,D),D)),
% a(A,B,C)),a(A,B,C)))) <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,
% a(A,B,C)),
% a(A,B,C))),eta(A)))),
% quotient(difference(E,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% difference(x1,
% eta(A)))),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,
% a(A,B,C)),
% a(A,B,C))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,a(A,B,C)),a(A,B,C)))))))
% Current number of equations to process: 454
% Current number of ordered equations: 4541
% Current number of rules: 219
% New rule produced :
% [718]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,
% a(A,B,C)),
% a(A,B,C))),eta(A)))),
% quotient(difference(E,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% difference(x1,
% eta(A)))),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,
% a(A,B,C)),
% a(A,B,C))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,a(A,B,C)),a(A,B,C)))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% quotient(difference(a(A,B,C),
% eta(A)),eta(A)))),
% quotient(difference(quotient(D,quotient(difference(E,D),D)),
% a(A,B,C)),a(A,B,C))))
% Current number of equations to process: 454
% Current number of ordered equations: 4540
% Current number of rules: 220
% New rule produced :
% [719]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))),
% eta(A)))),quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A)))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A)))))),
% eta(A)))),quotient(difference(C,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))))))))))
% Current number of equations to process: 51
% Current number of ordered equations: 5602
% Current number of rules: 221
% New rule produced :
% [720]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A)))))),
% eta(A)))),quotient(difference(C,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))))))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))),
% eta(A)))),quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A)))))))
% Current number of equations to process: 51
% Current number of ordered equations: 5601
% Current number of rules: 222
% New rule produced : [721] eta(difference(A,j(A))) -> one
% Current number of equations to process: 52
% Current number of ordered equations: 5599
% Current number of rules: 223
% New rule produced : [722] eta(quotient(A,j(A))) -> one
% Current number of equations to process: 54
% Current number of ordered equations: 5584
% Current number of rules: 224
% New rule produced : [723] difference(i(A),A) -> quotient(A,j(A))
% Rule [529] quotient(difference(i(A),A),A) -> A collapsed.
% Rule [637] difference(A,difference(i(A),A)) -> A collapsed.
% Rule [684] i(difference(i(A),A)) -> quotient(i(A),i(i(A))) collapsed.
% Rule [701] eta(difference(i(A),A)) -> one collapsed.
% Current number of equations to process: 60
% Current number of ordered equations: 5433
% Current number of rules: 221
% New rule produced : [724] i(quotient(eta(A),B)) <-> quotient(B,eta(A))
% Rule [693] i(quotient(eta(B),i(A))) <-> quotient(i(A),eta(B)) collapsed.
% Current number of equations to process: 60
% Current number of ordered equations: 5312
% Current number of rules: 221
% Rule [615]
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A)
% <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(A)),
% eta(A)))),
% quotient(difference(C,quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))))) is composed into
% [615]
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A)
% <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% difference(x1,
% eta(A)))),
% i(quotient(
% eta(A),difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(A)))))),
% quotient(difference(C,quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))))
% Rule [612]
% quotient(A,quotient(difference(quotient(B,quotient(difference(c(C,D),B),B)),A),A))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(difference(
% quotient(A,
% quotient(difference(B,A),A)),
% eta(A)),eta(A)))),
% quotient(difference(c(C,D),quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))) is composed into
% [612]
% quotient(A,quotient(difference(quotient(B,quotient(difference(c(C,D),B),B)),A),A))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% i(quotient(eta(A),difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(A)))))),
% quotient(difference(c(C,D),quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))))
% Rule [611]
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A)
% <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% eta(A),
% j(eta(A))),
% quotient(
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(A)),
% eta(A)))),
% quotient(difference(C,quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))))) is composed into
% [611]
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A)
% <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% eta(A),
% j(
% eta(A))),
% i(quotient(
% eta(A),difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(A)))))),
% quotient(difference(C,quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))))
% Rule [559]
% difference(eta(A),quotient(i(i(A)),quotient(difference(quotient(
% eta(A),i(B)),A),A)))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% j(difference(x1,
% eta(A)))),
% quotient(j(j(j(A))),
% eta(A)))),quotient(
% difference(B,
% j(j(A))),
% j(j(A))))) is composed into
% [559]
% difference(eta(A),quotient(i(i(A)),quotient(difference(quotient(eta(A),i(B)),A),A)))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% j(difference(x1,eta(A)))),
% i(quotient(eta(A),j(j(j(A))))))),
% quotient(difference(B,j(j(A))),j(j(A)))))
% New rule produced : [725] quotient(A,eta(B)) <-> i(quotient(eta(B),A))
% Rule [296] quotient(j(j(A)),eta(A)) -> A collapsed.
% Rule [463] quotient(t(eta(A),B),eta(A)) -> t(eta(A),quotient(B,eta(A)))
% collapsed.
% Rule [526] quotient(j(A),eta(A)) -> i(A) collapsed.
% Rule
% [587]
% difference(eta(A),quotient(i(i(A)),quotient(difference(t(B,difference(
% eta(x1),quotient(
% difference(
% eta(x1),
% quotient(
% quotient(
% i(
% i(x1)),
% quotient(
% quotient(
% j(
% j(x1)),
% j(x1)),x1)),
% quotient(
% difference(
% a(C,D,E),
% eta(x1)),
% eta(x1)))),
% quotient(
% difference(B,
% a(C,D,E)),
% a(C,D,E))))),A),A)))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% j(difference(x1,eta(A)))),
% difference(quotient(i(i(A)),
% quotient(difference(B,A),A)),
% eta(A)))),quotient(difference(
% a(C,D,E),
% difference(
% eta(A),
% quotient(
% i(i(A)),
% quotient(
% difference(B,A),A)))),
% difference(eta(A),
% quotient(i(i(A)),
% quotient(difference(B,A),A))))))
% collapsed.
% Rule [596] quotient(quotient(A,j(eta(B))),eta(B)) -> A collapsed.
% Rule
% [610]
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% eta(A),
% j(
% eta(A))),
% quotient(difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(A)),
% eta(A)))),quotient(
% difference(C,
% quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,
% quotient(
% difference(B,A),A))))))
% <->
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A)
% collapsed.
% Rule
% [616]
% quotient(A,quotient(difference(t(B,difference(eta(x1),quotient(difference(
% eta(x1),
% quotient(
% quotient(
% i(i(x1)),
% quotient(
% quotient(
% j(j(x1)),
% j(x1)),x1)),
% quotient(
% difference(
% a(C,D,E),
% eta(x1)),
% eta(x1)))),
% quotient(difference(B,
% a(C,D,E)),
% a(C,D,E))))),A),A)) <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% quotient(difference(quotient(A,
% quotient(
% difference(B,A),A)),
% eta(A)),eta(A)))),
% quotient(difference(a(C,D,E),quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))) collapsed.
% Rule [660] quotient(j(j(j(A))),eta(A)) -> j(A) collapsed.
% Rule [694] quotient(i(A),eta(B)) <-> i(quotient(eta(B),i(A))) collapsed.
% Rule
% [711]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% quotient(difference(quotient(A,B),
% eta(A)),eta(A)))),
% quotient(difference(B,quotient(A,B)),quotient(A,B)))) -> A
% collapsed.
% Rule
% [712]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% j(difference(x1,eta(A)))),
% quotient(quotient(difference(B,
% eta(A)),
% eta(A)),eta(A)))),
% quotient(difference(C,quotient(eta(A),i(B))),quotient(
% eta(A),
% i(B))))) ->
% quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B)) collapsed.
% Rule
% [713]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% quotient(difference(t(eta(A),B),
% eta(A)),eta(A)))),
% quotient(difference(t(eta(A),C),t(eta(A),B)),t(eta(A),B))))
% -> t(eta(A),quotient(B,quotient(difference(C,B),B))) collapsed.
% Rule
% [714]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% j(difference(x1,eta(A)))),
% quotient(difference(a(A,B,C),
% eta(A)),eta(A)))),
% quotient(difference(difference(C,t(a(C,A,B),difference(
% eta(A),
% quotient(
% quotient(
% eta(A),
% i(C)),quotient(
% difference(
% a(C,A,B),C),C))))),
% a(A,B,C)),a(A,B,C)))) -> one collapsed.
% Rule
% [715]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% quotient(difference(c(A,B),
% eta(A)),eta(A)))),
% quotient(difference(quotient(C,quotient(difference(D,C),C)),
% c(A,B)),c(A,B)))) <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,
% c(A,B)),
% c(A,B))),eta(A)))),
% quotient(difference(D,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% difference(x1,
% eta(A)))),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,
% c(A,B)),
% c(A,B))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,c(A,B)),c(A,B)))))))
% collapsed.
% Rule
% [716]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,
% c(A,B)),
% c(A,B))),eta(A)))),
% quotient(difference(D,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% difference(x1,
% eta(A)))),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,
% c(A,B)),
% c(A,B))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% c(A,B),
% eta(A)),
% eta(A)))),
% quotient(difference(C,c(A,B)),c(A,B)))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% quotient(difference(c(A,B),
% eta(A)),eta(A)))),
% quotient(difference(quotient(C,quotient(difference(D,C),C)),
% c(A,B)),c(A,B)))) collapsed.
% Rule
% [717]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% quotient(difference(a(A,B,C),
% eta(A)),eta(A)))),
% quotient(difference(quotient(D,quotient(difference(E,D),D)),
% a(A,B,C)),a(A,B,C)))) <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,
% a(A,B,C)),
% a(A,B,C))),eta(A)))),
% quotient(difference(E,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% difference(x1,
% eta(A)))),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,
% a(A,B,C)),
% a(A,B,C))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,a(A,B,C)),a(A,B,C)))))))
% collapsed.
% Rule
% [718]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,
% a(A,B,C)),
% a(A,B,C))),eta(A)))),
% quotient(difference(E,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% difference(x1,
% eta(A)))),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,
% a(A,B,C)),
% a(A,B,C))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% a(A,B,C),
% eta(A)),
% eta(A)))),
% quotient(difference(D,a(A,B,C)),a(A,B,C)))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% quotient(difference(a(A,B,C),
% eta(A)),eta(A)))),
% quotient(difference(quotient(D,quotient(difference(E,D),D)),
% a(A,B,C)),a(A,B,C)))) collapsed.
% Rule
% [719]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))),
% eta(A)))),quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A)))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A)))))),
% eta(A)))),quotient(difference(C,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))))))))))
% collapsed.
% Rule
% [720]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A)))))),
% eta(A)))),quotient(difference(C,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))))))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))),
% eta(A)))),quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(
% difference(
% quotient(
% j(A),A),
% eta(A)),
% eta(A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A)))))))
% collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% j(difference(x1,difference(eta(x1),quotient(difference(eta(x1),quotient(
% quotient(
% i(i(x1)),
% quotient(
% quotient(
% j(j(x1)),
% j(x1)),x1)),
% difference(x1,
% t(a(x1,x1,x0),
% difference(
% eta(x1),
% quotient(
% i(i(x1)),
% quotient(
% difference(
% a(x1,x1,x0),x1),x1))))))),
% quotient(difference(x1,j(difference(x1,
% t(a(x1,x1,x0),
% difference(
% eta(x1),quotient(
% i(
% i(x1)),
% quotient(
% difference(
% a(x1,x1,x0),x1),x1))))))),
% j(difference(x1,t(a(x1,x1,x0),difference(
% eta(x1),
% quotient(
% i(i(x1)),
% quotient(
% difference(
% a(x1,x1,x0),x1),x1))))))))))) =
% a(x1,x1,x0)
%
% Current number of equations to process: 1978
% Current number of ordered equations: 1788
% Current number of rules: 203
% New rule produced :
% [726]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% i(quotient(A,B)))),quotient(
% difference(B,
% quotient(A,B)),
% quotient(A,B))))
% -> A
% Current number of equations to process: 1968
% Current number of ordered equations: 1803
% Current number of rules: 204
% New rule produced :
% [727]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% j(difference(x1,eta(A)))),
% i(quotient(eta(A),i(B))))),
% quotient(difference(C,quotient(eta(A),i(B))),quotient(
% eta(A),
% i(B))))) ->
% quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B))
% Current number of equations to process: 1968
% Current number of ordered equations: 1802
% Current number of rules: 205
% New rule produced :
% [728]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% i(t(eta(A),B)))),quotient(
% difference(
% t(eta(A),C),
% t(eta(A),B)),
% t(eta(A),B))))
% -> t(eta(A),quotient(B,quotient(difference(C,B),B)))
% Current number of equations to process: 1968
% Current number of ordered equations: 1801
% Current number of rules: 206
% New rule produced :
% [729]
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% eta(A),
% j(
% eta(A))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(difference(C,quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))))
% <->
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A)
% Current number of equations to process: 1519
% Current number of ordered equations: 2490
% Current number of rules: 207
% New rule produced :
% [730]
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A)
% <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% eta(A),
% j(
% eta(A))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(difference(C,quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))))
% Current number of equations to process: 1521
% Current number of ordered equations: 2487
% Current number of rules: 208
% New rule produced :
% [731]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% j(difference(x1,eta(A)))),
% j(a(A,B,C)))),quotient(difference(
% difference(C,
% t(
% a(C,A,B),
% difference(
% eta(A),
% quotient(
% quotient(
% eta(A),
% i(C)),
% quotient(
% difference(
% a(C,A,B),C),C))))),
% a(A,B,C)),
% a(A,B,C)))) -> one
% Current number of equations to process: 1521
% Current number of ordered equations: 2486
% Current number of rules: 209
% New rule produced :
% [732]
% quotient(A,quotient(difference(t(B,difference(eta(x1),quotient(difference(
% eta(x1),
% quotient(
% quotient(
% i(i(x1)),
% quotient(
% quotient(
% j(j(x1)),
% j(x1)),x1)),
% j(a(C,D,E)))),
% quotient(difference(B,
% a(C,D,E)),
% a(C,D,E))))),A),A)) <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% i(quotient(A,quotient(difference(B,A),A))))),
% quotient(difference(a(C,D,E),quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))))
% Current number of equations to process: 1063
% Current number of ordered equations: 3284
% Current number of rules: 210
% New rule produced :
% [733]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% i(quotient(A,quotient(difference(B,A),A))))),
% quotient(difference(a(C,D,E),quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))) <->
% quotient(A,quotient(difference(t(B,difference(eta(x1),quotient(difference(
% eta(x1),
% quotient(
% quotient(
% i(i(x1)),
% quotient(
% quotient(
% j(j(x1)),
% j(x1)),x1)),
% j(a(C,D,E)))),
% quotient(difference(B,
% a(C,D,E)),
% a(C,D,E))))),A),A))
% Current number of equations to process: 1063
% Current number of ordered equations: 3283
% Current number of rules: 211
% New rule produced :
% [734]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% j(difference(x1,eta(A)))),
% difference(quotient(i(i(A)),
% quotient(difference(B,A),A)),
% eta(A)))),quotient(difference(
% a(C,D,E),
% difference(
% eta(A),
% quotient(
% i(i(A)),
% quotient(
% difference(B,A),A)))),
% difference(eta(A),
% quotient(i(i(A)),
% quotient(difference(B,A),A))))))
% <->
% difference(eta(A),quotient(i(i(A)),quotient(difference(t(B,difference(
% eta(x1),quotient(
% difference(
% eta(x1),
% quotient(
% quotient(
% i(
% i(x1)),
% quotient(
% quotient(
% j(
% j(x1)),
% j(x1)),x1)),
% j(
% a(C,D,E)))),
% quotient(
% difference(B,
% a(C,D,E)),
% a(C,D,E))))),A),A)))
% Current number of equations to process: 1009
% Current number of ordered equations: 3656
% Current number of rules: 212
% New rule produced :
% [735]
% difference(eta(A),quotient(i(i(A)),quotient(difference(t(B,difference(
% eta(x1),quotient(
% difference(
% eta(x1),
% quotient(
% quotient(
% i(
% i(x1)),
% quotient(
% quotient(
% j(
% j(x1)),
% j(x1)),x1)),
% j(
% a(C,D,E)))),
% quotient(
% difference(B,
% a(C,D,E)),
% a(C,D,E))))),A),A)))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% j(difference(x1,eta(A)))),
% difference(quotient(i(i(A)),
% quotient(difference(B,A),A)),
% eta(A)))),quotient(difference(
% a(C,D,E),
% difference(
% eta(A),
% quotient(
% i(i(A)),
% quotient(
% difference(B,A),A)))),
% difference(eta(A),
% quotient(i(i(A)),
% quotient(difference(B,A),A))))))
% Current number of equations to process: 1009
% Current number of ordered equations: 3655
% Current number of rules: 213
% New rule produced :
% [736]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% j(c(A,B)))),
% quotient(difference(C,
% c(A,B)),
% c(A,B))),eta(A)))),
% quotient(difference(D,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% difference(x1,
% eta(A)))),
% j(
% c(A,B)))),
% quotient(difference(C,
% c(A,B)),
% c(A,B))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% j(c(A,B)))),
% quotient(difference(C,c(A,B)),c(A,B)))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% j(c(A,B)))),quotient(difference(
% quotient(C,
% quotient(
% difference(D,C),C)),
% c(A,B)),
% c(A,B))))
% Current number of equations to process: 549
% Current number of ordered equations: 4470
% Current number of rules: 214
% New rule produced :
% [737]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% j(c(A,B)))),quotient(difference(
% quotient(C,
% quotient(
% difference(D,C),C)),
% c(A,B)),
% c(A,B)))) <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% j(c(A,B)))),
% quotient(difference(C,
% c(A,B)),
% c(A,B))),eta(A)))),
% quotient(difference(D,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% difference(x1,
% eta(A)))),
% j(
% c(A,B)))),
% quotient(difference(C,
% c(A,B)),
% c(A,B))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% j(c(A,B)))),
% quotient(difference(C,c(A,B)),c(A,B)))))))
% Current number of equations to process: 549
% Current number of ordered equations: 4469
% Current number of rules: 215
% New rule produced :
% [738]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% j(a(A,B,C)))),
% quotient(difference(D,
% a(A,B,C)),
% a(A,B,C))),eta(A)))),
% quotient(difference(E,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% difference(x1,
% eta(A)))),
% j(
% a(A,B,C)))),
% quotient(difference(D,
% a(A,B,C)),
% a(A,B,C))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% j(a(A,B,C)))),
% quotient(difference(D,a(A,B,C)),a(A,B,C)))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% j(a(A,B,C)))),quotient(difference(
% quotient(D,
% quotient(
% difference(E,D),D)),
% a(A,B,C)),
% a(A,B,C))))
% Current number of equations to process: 427
% Current number of ordered equations: 4703
% Current number of rules: 216
% New rule produced :
% [739]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% j(a(A,B,C)))),quotient(difference(
% quotient(D,
% quotient(
% difference(E,D),D)),
% a(A,B,C)),
% a(A,B,C)))) <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% j(a(A,B,C)))),
% quotient(difference(D,
% a(A,B,C)),
% a(A,B,C))),eta(A)))),
% quotient(difference(E,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% difference(x1,
% eta(A)))),
% j(
% a(A,B,C)))),
% quotient(difference(D,
% a(A,B,C)),
% a(A,B,C))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% j(a(A,B,C)))),
% quotient(difference(D,a(A,B,C)),a(A,B,C)))))))
% Current number of equations to process: 427
% Current number of ordered equations: 4702
% Current number of rules: 217
% New rule produced :
% [740]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A)))))),
% eta(A)))),quotient(difference(C,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))))))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))),
% eta(A)))),quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A)))))))
% Current number of equations to process: 67
% Current number of ordered equations: 5748
% Current number of rules: 218
% New rule produced :
% [741]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))),
% eta(A)))),quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A)))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A)))))),
% eta(A)))),quotient(difference(C,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))))))))))
% Current number of equations to process: 67
% Current number of ordered equations: 5747
% Current number of rules: 219
% Rule [734]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% j(difference(x1,
% eta(A)))),
% difference(quotient(
% i(i(A)),
% quotient(
% difference(B,A),A)),
% eta(A)))),quotient(
% difference(
% a(C,D,E),
% difference(
% eta(A),quotient(
% i(
% i(A)),
% quotient(
% difference(B,A),A)))),
% difference(
% eta(A),quotient(
% i(
% i(A)),
% quotient(
% difference(B,A),A))))))
% <->
% difference(eta(A),quotient(i(i(A)),quotient(difference(t(B,difference(
% eta(x1),
% quotient(
% difference(
% eta(x1),
% quotient(
% quotient(
% i(i(x1)),
% quotient(
% quotient(
% j(j(x1)),
% j(x1)),x1)),
% j(a(C,D,E)))),
% quotient(
% difference(B,
% a(C,D,E)),
% a(C,D,E))))),A),A))) is composed into
% [734]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% j(difference(x1,eta(A)))),
% difference(quotient(i(i(A)),
% quotient(difference(B,A),A)),
% eta(A)))),quotient(difference(
% a(C,D,E),
% difference(
% eta(A),
% quotient(
% i(i(A)),
% quotient(
% difference(B,A),A)))),
% difference(eta(A),
% quotient(i(i(A)),
% quotient(difference(B,A),A))))))
% <->
% difference(eta(A),quotient(i(i(A)),quotient(difference(t(B,difference(
% eta(x1),quotient(
% difference(
% eta(x1),
% quotient(
% quotient(
% i(
% i(x1)),
% quotient(
% j(
% quotient(
% j(x1),
% j(
% j(x1)))),x1)),
% j(
% a(C,D,E)))),
% quotient(
% difference(B,
% a(C,D,E)),
% a(C,D,E))))),A),A)))
% Rule [733]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(A,quotient(
% difference(B,A),A))))),
% quotient(difference(a(C,D,E),quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))) <->
% quotient(A,quotient(difference(t(B,difference(eta(x1),quotient(difference(
% eta(x1),
% quotient(
% quotient(
% i(
% i(x1)),
% quotient(
% quotient(
% j(
% j(x1)),
% j(x1)),x1)),
% j(
% a(C,D,E)))),
% quotient(difference(B,
% a(C,D,E)),
% a(C,D,E))))),A),A)) is composed into
% [733]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% i(quotient(A,quotient(difference(B,A),A))))),
% quotient(difference(a(C,D,E),quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))) <->
% quotient(A,quotient(difference(t(B,difference(eta(x1),quotient(difference(
% eta(x1),
% quotient(
% quotient(
% i(i(x1)),
% quotient(
% j(quotient(
% j(x1),
% j(j(x1)))),x1)),
% j(a(C,D,E)))),
% quotient(difference(B,
% a(C,D,E)),
% a(C,D,E))))),A),A))
% Rule [709]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(difference(x1,
% eta(A)))),A)),A))
% -> quotient(j(A),A) is composed into [709]
% difference(eta(A),quotient(
% difference(
% eta(A),quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% difference(x1,
% eta(A)))),A)),A))
% -> j(quotient(A,j(A)))
% Rule [584] difference(j(A),A) -> quotient(j(j(A)),j(A)) is composed into
% [584] difference(j(A),A) -> j(quotient(j(A),j(j(A))))
% Rule [370]
% difference(i(A),j(j(A))) ->
% difference(A,j(quotient(quotient(j(A),A),A))) is composed into [370]
% difference(
% i(A),
% j(
% j(A))) ->
% difference(A,
% j(
% quotient(
% j(
% quotient(A,
% j(A))),A)))
% New rule produced : [742] quotient(j(A),A) -> j(quotient(A,j(A)))
% Rule [67] quotient(quotient(j(A),A),i(A)) -> j(A) collapsed.
% Rule [68] difference(j(A),quotient(j(A),A)) -> i(A) collapsed.
% Rule [77] quotient(quotient(j(A),A),j(A)) -> j(j(j(A))) collapsed.
% Rule [600] quotient(A,quotient(quotient(j(j(A)),j(A)),A)) -> eta(A)
% collapsed.
% Rule [673] i(i(quotient(j(A),A))) -> quotient(j(A),A) collapsed.
% Rule [700] eta(quotient(j(A),A)) -> one collapsed.
% Rule [704] j(quotient(j(A),A)) -> quotient(A,j(A)) collapsed.
% Rule
% [732]
% quotient(A,quotient(difference(t(B,difference(eta(x1),quotient(difference(
% eta(x1),
% quotient(
% quotient(
% i(i(x1)),
% quotient(
% quotient(
% j(j(x1)),
% j(x1)),x1)),
% j(a(C,D,E)))),
% quotient(difference(B,
% a(C,D,E)),
% a(C,D,E))))),A),A)) <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% i(quotient(A,quotient(difference(B,A),A))))),
% quotient(difference(a(C,D,E),quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))) collapsed.
% Rule
% [735]
% difference(eta(A),quotient(i(i(A)),quotient(difference(t(B,difference(
% eta(x1),quotient(
% difference(
% eta(x1),
% quotient(
% quotient(
% i(
% i(x1)),
% quotient(
% quotient(
% j(
% j(x1)),
% j(x1)),x1)),
% j(
% a(C,D,E)))),
% quotient(
% difference(B,
% a(C,D,E)),
% a(C,D,E))))),A),A)))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% j(difference(x1,eta(A)))),
% difference(quotient(i(i(A)),
% quotient(difference(B,A),A)),
% eta(A)))),quotient(difference(
% a(C,D,E),
% difference(
% eta(A),
% quotient(
% i(i(A)),
% quotient(
% difference(B,A),A)))),
% difference(eta(A),
% quotient(i(i(A)),
% quotient(difference(B,A),A))))))
% collapsed.
% Rule
% [740]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A)))))),
% eta(A)))),quotient(difference(C,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))))))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))),
% eta(A)))),quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A)))))))
% collapsed.
% Rule
% [741]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))),
% eta(A)))),quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A)))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A)))))),
% eta(A)))),quotient(difference(C,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A)))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(
% difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(
% j(A),A))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% j(A),A)))),
% quotient(difference(
% quotient(A,
% j(A)),
% quotient(
% j(A),A)),
% quotient(j(A),A))))))))))
% collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% j(difference(x1,difference(eta(x1),quotient(difference(eta(x1),quotient(
% quotient(
% i(i(x1)),
% quotient(
% j(quotient(
% j(x1),
% j(j(x1)))),x1)),
% difference(x1,
% t(a(x1,x1,x0),
% difference(
% eta(x1),
% quotient(
% i(i(x1)),
% quotient(
% difference(
% a(x1,x1,x0),x1),x1))))))),
% quotient(difference(x1,j(difference(x1,
% t(a(x1,x1,x0),
% difference(
% eta(x1),quotient(
% i(
% i(x1)),
% quotient(
% difference(
% a(x1,x1,x0),x1),x1))))))),
% j(difference(x1,t(a(x1,x1,x0),difference(
% eta(x1),
% quotient(
% i(i(x1)),
% quotient(
% difference(
% a(x1,x1,x0),x1),x1))))))))))) =
% a(x1,x1,x0)
%
% Current number of equations to process: 1455
% Current number of ordered equations: 3764
% Current number of rules: 209
% New rule produced :
% [743] quotient(A,quotient(j(quotient(j(A),j(j(A)))),A)) -> eta(A)
% Current number of equations to process: 1451
% Current number of ordered equations: 3766
% Current number of rules: 210
% New rule produced :
% [744]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,j(A)))),
% eta(A)))),quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,
% j(A)))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,j(A))))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,
% j(A)))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,
% j(A)))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,j(A))))))),
% eta(A)))),quotient(difference(C,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,
% j(A)))),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,
% j(A)))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,
% j(A))))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,
% j(A)))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,
% j(A)))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,j(A)))))))))))
% Current number of equations to process: 73
% Current number of ordered equations: 5170
% Current number of rules: 211
% New rule produced :
% [745]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,
% j(A)))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,
% j(A)))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,j(A))))))),
% eta(A)))),quotient(difference(C,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,
% j(A)))),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,
% j(A)))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,
% j(A))))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,
% j(A)))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,
% j(A)))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,j(A)))))))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,j(A)))),
% eta(A)))),quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,
% j(A)))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,j(A))))))))
% Current number of equations to process: 73
% Current number of ordered equations: 5169
% Current number of rules: 212
% New rule produced : [746] j(quotient(A,eta(B))) <-> quotient(eta(B),A)
% Current number of equations to process: 73
% Current number of ordered equations: 5168
% Current number of rules: 213
% New rule produced : [747] quotient(eta(B),A) <-> j(quotient(A,eta(B)))
% Rule [48] quotient(eta(A),A) -> i(A) collapsed.
% Current number of equations to process: 113
% Current number of ordered equations: 5126
% Current number of rules: 213
% New rule produced : [748] t(j(j(A)),eta(A)) -> j(eta(A))
% Current number of equations to process: 113
% Current number of ordered equations: 5125
% Current number of rules: 214
% New rule produced : [749] t(j(j(A)),A) -> j(j(j(j(A))))
% Current number of equations to process: 119
% Current number of ordered equations: 5118
% Current number of rules: 215
% New rule produced : [750] quotient(j(eta(A)),i(A)) -> j(j(A))
% Rule [683] i(i(quotient(j(eta(A)),i(A)))) -> A collapsed.
% Current number of equations to process: 121
% Current number of ordered equations: 5051
% Current number of rules: 215
% New rule produced : [751] t(eta(A),j(B)) -> j(t(eta(A),B))
% Rule [274] t(eta(A),j(j(A))) -> i(i(A)) collapsed.
% Rule [538] t(eta(A),j(A)) -> i(i(i(A))) collapsed.
% Rule [659] t(eta(A),j(j(j(A)))) -> i(A) collapsed.
% Rule [670] i(t(eta(A),j(B))) -> t(eta(A),B) collapsed.
% Current number of equations to process: 140
% Current number of ordered equations: 4940
% Current number of rules: 212
% New rule produced : [752] i(quotient(j(eta(A)),A)) -> j(j(A))
% Rule [672] i(i(quotient(j(eta(A)),A))) -> j(A) collapsed.
% Current number of equations to process: 146
% Current number of ordered equations: 4875
% Current number of rules: 212
% New rule produced :
% [753] eta(difference(eta(A),B)) <-> eta(difference(B,eta(A)))
% Current number of equations to process: 146
% Current number of ordered equations: 4874
% Current number of rules: 213
% New rule produced :
% [754] eta(difference(B,eta(A))) <-> eta(difference(eta(A),B))
% Current number of equations to process: 146
% Current number of ordered equations: 4873
% Current number of rules: 214
% New rule produced : [755] i(difference(A,j(A))) -> j(difference(A,j(A)))
% Current number of equations to process: 152
% Current number of ordered equations: 4858
% Current number of rules: 215
% New rule produced : [756] i(quotient(A,j(A))) -> j(quotient(A,j(A)))
% Current number of equations to process: 192
% Current number of ordered equations: 4801
% Current number of rules: 216
% New rule produced : [757] eta(quotient(eta(B),A)) <-> eta(quotient(A,eta(B)))
% Current number of equations to process: 192
% Current number of ordered equations: 4799
% Current number of rules: 217
% New rule produced : [758] eta(quotient(A,eta(B))) <-> eta(quotient(eta(B),A))
% Current number of equations to process: 192
% Current number of ordered equations: 4797
% Current number of rules: 218
% New rule produced : [759] j(j(quotient(A,i(A)))) -> quotient(A,i(A))
% Current number of equations to process: 195
% Current number of ordered equations: 4773
% Current number of rules: 219
% New rule produced : [760] t(j(eta(A)),i(A)) -> j(j(j(A)))
% Current number of equations to process: 196
% Current number of ordered equations: 4768
% Current number of rules: 220
% New rule produced : [761] t(j(j(A)),j(eta(A))) -> eta(A)
% Current number of equations to process: 196
% Current number of ordered equations: 4762
% Current number of rules: 221
% New rule produced : [762] j(j(quotient(A,j(A)))) -> quotient(A,j(A))
% Current number of equations to process: 197
% Current number of ordered equations: 4746
% Current number of rules: 222
% New rule produced : [763] difference(j(A),difference(A,j(A))) -> j(A)
% Current number of equations to process: 197
% Current number of ordered equations: 4744
% Current number of rules: 223
% New rule produced : [764] difference(j(eta(A)),j(B)) -> quotient(eta(A),B)
% Rule [643] difference(j(eta(A)),j(A)) -> i(A) collapsed.
% Rule [678] difference(j(eta(A)),j(j(A))) -> A collapsed.
% Current number of equations to process: 199
% Current number of ordered equations: 4724
% Current number of rules: 222
% New rule produced : [765] t(i(i(A)),j(eta(A))) -> eta(A)
% Current number of equations to process: 199
% Current number of ordered equations: 4723
% Current number of rules: 223
% New rule produced : [766] eta(quotient(j(eta(A)),j(A))) -> eta(A)
% Current number of equations to process: 199
% Current number of ordered equations: 4722
% Current number of rules: 224
% Rule [753] eta(difference(eta(A),B)) <-> eta(difference(B,eta(A))) is composed into
% [753] eta(difference(eta(A),B)) -> eta(quotient(i(B),j(eta(A))))
% Rule [708] difference(eta(A),B) <-> j(difference(B,eta(A))) is composed into
% [708] difference(eta(A),B) -> j(quotient(i(B),j(eta(A))))
% Rule [615]
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A)
% <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(
% eta(A),
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(A)))))),
% quotient(difference(C,quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))))) is composed into
% [615]
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A)
% <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% quotient(
% i(x1),
% j(
% eta(A))))),
% i(quotient(
% eta(A),quotient(
% i(
% quotient(A,
% quotient(
% difference(B,A),A))),
% j(
% eta(A))))))),
% quotient(difference(C,quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))))
% Rule [612]
% quotient(A,quotient(difference(quotient(B,quotient(difference(c(C,D),B),B)),A),A))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(difference(x1,
% eta(A)))),
% i(quotient(eta(A),difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(A)))))),
% quotient(difference(c(C,D),quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))) is composed into
% [612]
% quotient(A,quotient(difference(quotient(B,quotient(difference(c(C,D),B),B)),A),A))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(quotient(i(x1),
% j(eta(A))))),
% i(quotient(eta(A),quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% j(eta(A))))))),
% quotient(difference(c(C,D),quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))))
% Rule [611]
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A)
% <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% eta(A),
% j(eta(A))),
% i(quotient(
% eta(A),
% difference(
% quotient(A,
% quotient(
% difference(B,A),A)),
% eta(A)))))),
% quotient(difference(C,quotient(A,
% quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A)))))) is composed into
% [611]
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A)
% <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% eta(A),
% j(
% eta(A))),
% i(quotient(
% eta(A),quotient(
% i(
% quotient(A,
% quotient(
% difference(B,A),A))),
% j(
% eta(A))))))),
% quotient(difference(C,quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))))
% Rule [559]
% difference(eta(A),quotient(i(i(A)),quotient(difference(quotient(
% eta(A),i(B)),A),A)))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% j(difference(x1,
% eta(A)))),
% i(quotient(eta(A),j(
% j(j(A))))))),
% quotient(difference(B,j(j(A))),j(j(A))))) is composed into
% [559]
% difference(eta(A),quotient(i(i(A)),quotient(difference(quotient(eta(A),i(B)),A),A)))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% j(quotient(i(x1),
% j(eta(A))))),
% i(quotient(eta(A),j(j(j(A))))))),
% quotient(difference(B,j(j(A))),j(j(A)))))
% Rule [558]
% quotient(quotient(eta(A),i(B)),difference(difference(eta(A),quotient(
% i(i(A)),
% quotient(
% difference(B,A),A))),B))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% j(difference(x1,
% eta(A)))),
% i(i(i(A))))),quotient(
% i(i(quotient(
% j(B),
% i(A)))),
% i(i(A))))) is composed into
% [558]
% quotient(quotient(eta(A),i(B)),difference(difference(eta(A),quotient(
% i(i(A)),quotient(
% difference(B,A),A))),B))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% j(quotient(i(x1),
% j(eta(A))))),
% i(i(i(A))))),quotient(i(
% i(
% quotient(
% j(B),
% i(A)))),
% i(i(A)))))
% New rule produced : [767] difference(A,eta(B)) -> quotient(i(A),j(eta(B)))
% Rule [49] difference(A,eta(A)) -> j(A) collapsed.
% Rule [50] difference(i(A),eta(A)) -> A collapsed.
% Rule [364] difference(i(i(A)),eta(A)) -> i(A) collapsed.
% Rule [533] difference(j(A),eta(A)) -> j(j(A)) collapsed.
% Rule [665] difference(j(j(A)),eta(A)) -> j(j(j(A))) collapsed.
% Rule [674] quotient(A,j(difference(A,eta(B)))) -> eta(B) collapsed.
% Rule [679] difference(i(i(i(A))),eta(A)) -> i(i(A)) collapsed.
% Rule [707] j(difference(B,eta(A))) <-> difference(eta(A),B) collapsed.
% Rule
% [709]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),A)),A))
% -> j(quotient(A,j(A))) collapsed.
% Rule
% [710]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% i(i(A)))),j(A))) -> eta(A)
% collapsed.
% Rule
% [726]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% i(quotient(A,B)))),quotient(
% difference(B,
% quotient(A,B)),
% quotient(A,B))))
% -> A collapsed.
% Rule
% [727]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% j(difference(x1,eta(A)))),
% i(quotient(eta(A),i(B))))),
% quotient(difference(C,quotient(eta(A),i(B))),quotient(
% eta(A),
% i(B))))) ->
% quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B)) collapsed.
% Rule
% [728]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% i(t(eta(A),B)))),quotient(
% difference(
% t(eta(A),C),
% t(eta(A),B)),
% t(eta(A),B))))
% -> t(eta(A),quotient(B,quotient(difference(C,B),B))) collapsed.
% Rule
% [731]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% j(difference(x1,eta(A)))),
% j(a(A,B,C)))),quotient(difference(
% difference(C,
% t(
% a(C,A,B),
% difference(
% eta(A),
% quotient(
% quotient(
% eta(A),
% i(C)),
% quotient(
% difference(
% a(C,A,B),C),C))))),
% a(A,B,C)),
% a(A,B,C)))) -> one
% collapsed.
% Rule
% [733]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% i(quotient(A,quotient(difference(B,A),A))))),
% quotient(difference(a(C,D,E),quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))) <->
% quotient(A,quotient(difference(t(B,difference(eta(x1),quotient(difference(
% eta(x1),
% quotient(
% quotient(
% i(i(x1)),
% quotient(
% j(quotient(
% j(x1),
% j(j(x1)))),x1)),
% j(a(C,D,E)))),
% quotient(difference(B,
% a(C,D,E)),
% a(C,D,E))))),A),A))
% collapsed.
% Rule
% [734]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% j(difference(x1,eta(A)))),
% difference(quotient(i(i(A)),
% quotient(difference(B,A),A)),
% eta(A)))),quotient(difference(
% a(C,D,E),
% difference(
% eta(A),
% quotient(
% i(i(A)),
% quotient(
% difference(B,A),A)))),
% difference(eta(A),
% quotient(i(i(A)),
% quotient(difference(B,A),A))))))
% <->
% difference(eta(A),quotient(i(i(A)),quotient(difference(t(B,difference(
% eta(x1),quotient(
% difference(
% eta(x1),
% quotient(
% quotient(
% i(
% i(x1)),
% quotient(
% j(
% quotient(
% j(x1),
% j(
% j(x1)))),x1)),
% j(
% a(C,D,E)))),
% quotient(
% difference(B,
% a(C,D,E)),
% a(C,D,E))))),A),A)))
% collapsed.
% Rule
% [736]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% j(c(A,B)))),
% quotient(difference(C,
% c(A,B)),
% c(A,B))),eta(A)))),
% quotient(difference(D,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% difference(x1,
% eta(A)))),
% j(
% c(A,B)))),
% quotient(difference(C,
% c(A,B)),
% c(A,B))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% j(c(A,B)))),
% quotient(difference(C,c(A,B)),c(A,B)))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% j(c(A,B)))),quotient(difference(
% quotient(C,
% quotient(
% difference(D,C),C)),
% c(A,B)),
% c(A,B)))) collapsed.
% Rule
% [737]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% j(c(A,B)))),quotient(difference(
% quotient(C,
% quotient(
% difference(D,C),C)),
% c(A,B)),
% c(A,B)))) <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% j(c(A,B)))),
% quotient(difference(C,
% c(A,B)),
% c(A,B))),eta(A)))),
% quotient(difference(D,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% difference(x1,
% eta(A)))),
% j(
% c(A,B)))),
% quotient(difference(C,
% c(A,B)),
% c(A,B))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% j(c(A,B)))),
% quotient(difference(C,c(A,B)),c(A,B)))))))
% collapsed.
% Rule
% [738]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% j(a(A,B,C)))),
% quotient(difference(D,
% a(A,B,C)),
% a(A,B,C))),eta(A)))),
% quotient(difference(E,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% difference(x1,
% eta(A)))),
% j(
% a(A,B,C)))),
% quotient(difference(D,
% a(A,B,C)),
% a(A,B,C))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% j(a(A,B,C)))),
% quotient(difference(D,a(A,B,C)),a(A,B,C)))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% j(a(A,B,C)))),quotient(difference(
% quotient(D,
% quotient(
% difference(E,D),D)),
% a(A,B,C)),
% a(A,B,C))))
% collapsed.
% Rule
% [739]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% j(a(A,B,C)))),quotient(difference(
% quotient(D,
% quotient(
% difference(E,D),D)),
% a(A,B,C)),
% a(A,B,C)))) <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% j(a(A,B,C)))),
% quotient(difference(D,
% a(A,B,C)),
% a(A,B,C))),eta(A)))),
% quotient(difference(E,difference(eta(A),quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% difference(x1,
% eta(A)))),
% j(
% a(A,B,C)))),
% quotient(difference(D,
% a(A,B,C)),
% a(A,B,C))))),
% difference(eta(A),quotient(difference(eta(A),quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% j(a(A,B,C)))),
% quotient(difference(D,a(A,B,C)),a(A,B,C)))))))
% collapsed.
% Rule
% [744]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,j(A)))),
% eta(A)))),quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,
% j(A)))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,j(A))))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,
% j(A)))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,
% j(A)))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,j(A))))))),
% eta(A)))),quotient(difference(C,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,
% j(A)))),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,
% j(A)))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,
% j(A))))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,
% j(A)))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,
% j(A)))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,j(A)))))))))))
% collapsed.
% Rule
% [745]
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,
% j(A)))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,
% j(A)))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,j(A))))))),
% eta(A)))),quotient(difference(C,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,
% j(A)))),
% eta(A)))),
% quotient(
% difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,
% j(A)))))),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,
% j(A))))))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% difference(
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,
% j(A)))),
% eta(A)))),
% quotient(difference(B,
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,
% j(A)))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,j(A)))))))))))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,eta(A)))),
% difference(quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,j(A)))),
% eta(A)))),quotient(difference(
% quotient(B,
% quotient(
% difference(C,B),B)),
% difference(
% eta(A),
% quotient(
% difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,
% j(A)))))),
% difference(eta(A),
% quotient(difference(
% eta(A),
% quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(difference(x1,
% eta(A)))),
% quotient(A,
% j(A)))),
% j(quotient(A,j(A))))))))
% collapsed.
% Rule [754] eta(difference(B,eta(A))) <-> eta(difference(eta(A),B)) collapsed.
% Current number of equations to process: 2029
% Current number of ordered equations: 1488
% Current number of rules: 202
% New rule produced :
% [768]
% j(quotient(i(quotient(j(quotient(i(quotient(quotient(t(eta(A),quotient(x1,
% j(eta(A)))),
% j(quotient(i(x1),j(eta(A))))),A)),
% j(eta(A)))),A)),j(eta(A)))) -> j(quotient(A,j(A)))
% Current number of equations to process: 2018
% Current number of ordered equations: 1498
% Current number of rules: 203
% New rule produced :
% [769]
% j(quotient(i(quotient(j(quotient(i(quotient(quotient(t(eta(A),quotient(x1,
% j(eta(A)))),
% j(quotient(i(x1),j(eta(A))))),
% i(i(A)))),j(eta(A)))),j(A))),j(eta(A))))
% -> eta(A)
% Current number of equations to process: 2018
% Current number of ordered equations: 1497
% Current number of rules: 204
% New rule produced :
% [770]
% j(quotient(i(quotient(j(quotient(i(quotient(quotient(t(eta(A),quotient(x1,
% j(eta(A)))),
% j(quotient(i(x1),j(eta(A))))),
% i(quotient(A,B)))),j(eta(A)))),quotient(
% difference(B,
% quotient(A,B)),
% quotient(A,B)))),
% j(eta(A)))) -> A
% Current number of equations to process: 2018
% Current number of ordered equations: 1496
% Current number of rules: 205
% New rule produced :
% [771]
% j(quotient(i(quotient(j(quotient(i(quotient(quotient(quotient(eta(A),i(x1)),
% j(quotient(i(x1),j(eta(A))))),
% i(quotient(eta(A),i(B))))),j(eta(A)))),
% quotient(difference(C,quotient(eta(A),i(B))),quotient(eta(A),
% i(B))))),j(eta(A))))
% -> quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B))
% Current number of equations to process: 2018
% Current number of ordered equations: 1495
% Current number of rules: 206
% New rule produced :
% [772]
% j(quotient(i(quotient(j(quotient(i(quotient(quotient(t(eta(A),quotient(x1,
% j(eta(A)))),
% j(quotient(i(x1),j(eta(A))))),
% i(t(eta(A),B)))),j(eta(A)))),quotient(
% difference(
% t(eta(A),C),
% t(eta(A),B)),
% t(eta(A),B)))),
% j(eta(A)))) -> t(eta(A),quotient(B,quotient(difference(C,B),B)))
% Current number of equations to process: 2018
% Current number of ordered equations: 1494
% Current number of rules: 207
% New rule produced :
% [773]
% j(quotient(i(quotient(j(quotient(i(quotient(quotient(quotient(eta(A),i(x1)),
% j(quotient(i(x1),j(eta(A))))),
% j(a(A,B,C)))),j(eta(A)))),quotient(
% difference(
% difference(C,
% t(a(C,A,B),
% j(quotient(
% i(quotient(
% quotient(
% eta(A),
% i(C)),
% quotient(
% difference(
% a(C,A,B),C),C))),
% j(eta(A)))))),
% a(A,B,C)),
% a(A,B,C)))),
% j(eta(A)))) -> one
% Current number of equations to process: 2018
% Current number of ordered equations: 1493
% Current number of rules: 208
% New rule produced :
% [774]
% quotient(A,quotient(difference(t(B,j(quotient(i(quotient(j(quotient(i(
% quotient(
% quotient(
% i(
% i(x1)),
% quotient(
% j(
% quotient(
% j(x1),
% j(
% j(x1)))),x1)),
% j(
% a(C,D,E)))),
% j(eta(x1)))),
% quotient(difference(B,
% a(C,D,E)),a(C,D,E)))),
% j(eta(x1))))),A),A)) ->
% j(quotient(i(quotient(j(quotient(i(quotient(quotient(t(eta(A),quotient(x1,
% j(eta(A)))),
% j(quotient(i(x1),j(eta(A))))),
% i(quotient(A,quotient(difference(B,A),A))))),
% j(eta(A)))),quotient(difference(a(C,D,E),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))),
% j(eta(A))))
% Current number of equations to process: 2018
% Current number of ordered equations: 1492
% Current number of rules: 209
% New rule produced :
% [775]
% j(quotient(i(quotient(i(i(A)),quotient(difference(t(B,j(quotient(i(quotient(
% j(
% quotient(
% i(
% quotient(
% quotient(
% i(
% i(x1)),
% quotient(
% j(
% quotient(
% j(x1),
% j(
% j(x1)))),x1)),
% j(
% a(C,D,E)))),
% j(
% eta(x1)))),
% quotient(
% difference(B,
% a(C,D,E)),
% a(C,D,E)))),
% j(eta(x1))))),A),A))),
% j(eta(A)))) ->
% j(quotient(i(quotient(j(quotient(i(quotient(quotient(quotient(eta(A),i(x1)),
% j(quotient(i(x1),j(eta(A))))),
% quotient(i(quotient(i(i(A)),quotient(
% difference(B,A),A))),
% j(eta(A))))),j(eta(A)))),quotient(
% difference(
% a(C,D,E),
% j(quotient(
% i(quotient(
% i(i(A)),
% quotient(
% difference(B,A),A))),
% j(eta(A))))),
% j(quotient(
% i(quotient(
% i(i(A)),
% quotient(
% difference(B,A),A))),
% j(eta(A))))))),
% j(eta(A))))
% Current number of equations to process: 2018
% Current number of ordered equations: 1491
% Current number of rules: 210
% New rule produced :
% [776]
% j(quotient(i(quotient(j(quotient(i(quotient(quotient(t(eta(A),quotient(x1,
% j(eta(A)))),
% j(quotient(i(x1),j(eta(A))))),
% j(c(A,B)))),j(eta(A)))),quotient(difference(
% quotient(C,
% quotient(
% difference(D,C),C)),
% c(A,B)),
% c(A,B)))),
% j(eta(A)))) ->
% j(quotient(i(quotient(j(quotient(i(quotient(quotient(t(eta(A),quotient(x1,
% j(eta(A)))),
% j(quotient(i(x1),j(eta(A))))),
% quotient(i(quotient(j(quotient(i(quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% quotient(
% i(x1),
% j(
% eta(A))))),
% j(
% c(A,B)))),
% j(eta(A)))),
% quotient(difference(C,c(A,B)),
% c(A,B)))),j(eta(A))))),
% j(eta(A)))),quotient(difference(D,j(quotient(
% i(quotient(
% j(quotient(
% i(quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(quotient(
% i(x1),
% j(
% eta(A))))),
% j(c(A,B)))),
% j(eta(A)))),
% quotient(
% difference(C,
% c(A,B)),
% c(A,B)))),
% j(eta(A))))),
% j(quotient(i(quotient(j(quotient(
% i(quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(quotient(
% i(x1),
% j(eta(A))))),
% j(c(A,B)))),
% j(eta(A)))),
% quotient(difference(C,
% c(A,B)),c(A,B)))),
% j(eta(A))))))),j(eta(A))))
% Current number of equations to process: 2018
% Current number of ordered equations: 1490
% Current number of rules: 211
% New rule produced :
% [777]
% j(quotient(i(quotient(j(quotient(i(quotient(quotient(t(eta(A),quotient(x1,
% j(eta(A)))),
% j(quotient(i(x1),j(eta(A))))),
% j(a(A,B,C)))),j(eta(A)))),quotient(
% difference(
% quotient(D,
% quotient(
% difference(E,D),D)),
% a(A,B,C)),
% a(A,B,C)))),
% j(eta(A)))) ->
% j(quotient(i(quotient(j(quotient(i(quotient(quotient(t(eta(A),quotient(x1,
% j(eta(A)))),
% j(quotient(i(x1),j(eta(A))))),
% quotient(i(quotient(j(quotient(i(quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% quotient(
% i(x1),
% j(
% eta(A))))),
% j(
% a(A,B,C)))),
% j(eta(A)))),
% quotient(difference(D,a(A,B,C)),
% a(A,B,C)))),j(eta(A))))),
% j(eta(A)))),quotient(difference(E,j(quotient(
% i(quotient(
% j(quotient(
% i(quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(quotient(
% i(x1),
% j(
% eta(A))))),
% j(a(A,B,C)))),
% j(eta(A)))),
% quotient(
% difference(D,
% a(A,B,C)),
% a(A,B,C)))),
% j(eta(A))))),
% j(quotient(i(quotient(j(quotient(
% i(quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(quotient(
% i(x1),
% j(eta(A))))),
% j(a(A,B,C)))),
% j(eta(A)))),
% quotient(difference(D,
% a(A,B,C)),a(A,B,C)))),
% j(eta(A))))))),j(eta(A))))
% Current number of equations to process: 2018
% Current number of ordered equations: 1489
% Current number of rules: 212
% New rule produced :
% [778]
% j(quotient(i(quotient(j(quotient(i(quotient(quotient(t(eta(A),quotient(x1,
% j(eta(A)))),
% j(quotient(i(x1),j(eta(A))))),
% quotient(i(quotient(j(quotient(i(quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% quotient(
% i(x1),
% j(
% eta(A))))),
% quotient(A,
% j(A)))),
% j(eta(A)))),
% j(quotient(A,j(A))))),j(eta(A))))),
% j(eta(A)))),quotient(difference(quotient(B,quotient(
% difference(C,B),B)),
% j(quotient(i(quotient(j(
% quotient(
% i(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% quotient(
% i(x1),
% j(
% eta(A))))),
% quotient(A,
% j(A)))),
% j(
% eta(A)))),
% j(quotient(A,j(A))))),
% j(eta(A))))),j(quotient(
% i(quotient(
% j(quotient(
% i(quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% quotient(
% i(x1),
% j(
% eta(A))))),
% quotient(A,
% j(A)))),
% j(eta(A)))),
% j(quotient(A,
% j(A))))),
% j(eta(A))))))),
% j(eta(A)))) ->
% j(quotient(i(quotient(j(quotient(i(quotient(quotient(t(eta(A),quotient(x1,
% j(eta(A)))),
% j(quotient(i(x1),j(eta(A))))),
% quotient(i(quotient(j(quotient(i(quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% quotient(
% i(x1),
% j(
% eta(A))))),
% quotient(
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% quotient(
% i(x1),
% j(
% eta(A))))),
% quotient(A,
% j(A)))),
% j(
% eta(A)))),
% j(
% quotient(A,
% j(A))))),
% j(
% eta(A))))),
% j(eta(A)))),
% quotient(difference(B,j(
% quotient(
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% quotient(
% i(x1),
% j(
% eta(A))))),
% quotient(A,
% j(A)))),
% j(
% eta(A)))),
% j(
% quotient(A,
% j(A))))),
% j(
% eta(A))))),
% j(quotient(i(quotient(j(
% quotient(
% i(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% quotient(
% i(x1),
% j(
% eta(A))))),
% quotient(A,
% j(A)))),
% j(
% eta(A)))),
% j(quotient(A,j(A))))),
% j(eta(A))))))),j(eta(A))))),
% j(eta(A)))),quotient(difference(C,j(quotient(
% i(quotient(
% j(quotient(
% i(quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(quotient(
% i(x1),
% j(
% eta(A))))),
% quotient(
% i(quotient(
% j(
% quotient(
% i(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% quotient(
% i(x1),
% j(
% eta(A))))),
% quotient(A,
% j(A)))),
% j(
% eta(A)))),
% j(
% quotient(A,
% j(A))))),
% j(eta(A))))),
% j(eta(A)))),
% quotient(
% difference(B,
% j(quotient(
% i(quotient(
% j(quotient(
% i(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% quotient(
% i(x1),
% j(
% eta(A))))),
% quotient(A,
% j(A)))),
% j(
% eta(A)))),
% j(quotient(A,
% j(A))))),
% j(eta(A))))),
% j(quotient(
% i(quotient(
% j(quotient(
% i(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% quotient(
% i(x1),
% j(
% eta(A))))),
% quotient(A,
% j(A)))),
% j(
% eta(A)))),
% j(quotient(A,
% j(A))))),
% j(eta(A))))))),
% j(eta(A))))),
% j(quotient(i(quotient(j(quotient(
% i(quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(quotient(
% i(x1),
% j(eta(A))))),
% quotient(
% i(quotient(
% j(quotient(
% i(quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% quotient(
% i(x1),
% j(
% eta(A))))),
% quotient(A,
% j(A)))),
% j(eta(A)))),
% j(quotient(A,
% j(A))))),
% j(eta(A))))),
% j(eta(A)))),
% quotient(difference(B,
% j(quotient(
% i(quotient(
% j(quotient(
% i(quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(quotient(
% i(x1),
% j(
% eta(A))))),
% quotient(A,
% j(A)))),
% j(eta(A)))),
% j(quotient(A,
% j(A))))),
% j(eta(A))))),
% j(quotient(i(quotient(
% j(quotient(
% i(quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(quotient(
% i(x1),
% j(
% eta(A))))),
% quotient(A,
% j(A)))),
% j(eta(A)))),
% j(quotient(A,
% j(A))))),
% j(eta(A))))))),j(eta(A))))))),
% j(eta(A))))
% Current number of equations to process: 2018
% Current number of ordered equations: 1488
% Current number of rules: 213
% New rule produced : [779] j(j(difference(A,j(A)))) -> difference(A,j(A))
% Current number of equations to process: 2022
% Current number of ordered equations: 1482
% Current number of rules: 214
% New rule produced : [780] t(quotient(A,j(A)),j(A)) -> i(A)
% Current number of equations to process: 2032
% Current number of ordered equations: 1468
% Current number of rules: 215
% New rule produced : [781] difference(A,j(A)) -> quotient(j(A),j(j(A)))
% Rule [662] quotient(difference(A,j(A)),j(A)) -> j(A) collapsed.
% Rule [721] eta(difference(A,j(A))) -> one collapsed.
% Rule [755] i(difference(A,j(A))) -> j(difference(A,j(A))) collapsed.
% Rule [763] difference(j(A),difference(A,j(A))) -> j(A) collapsed.
% Rule [779] j(j(difference(A,j(A)))) -> difference(A,j(A)) collapsed.
% Current number of equations to process: 2034
% Current number of ordered equations: 1456
% Current number of rules: 211
% New rule produced : [782] difference(i(quotient(eta(A),B)),B) -> eta(A)
% Current number of equations to process: 2034
% Current number of ordered equations: 1455
% Current number of rules: 212
% New rule produced : [783] quotient(i(A),i(i(A))) -> j(quotient(A,j(A)))
% Current number of equations to process: 2036
% Current number of ordered equations: 1448
% Current number of rules: 213
% New rule produced :
% [784] difference(A,quotient(A,quotient(B,A))) -> quotient(A,B)
% Rule [602] difference(A,quotient(A,quotient(difference(B,A),A))) -> B
% collapsed.
% Current number of equations to process: 2036
% Current number of ordered equations: 1418
% Current number of rules: 213
% Rule [559]
% difference(eta(A),quotient(i(i(A)),quotient(difference(quotient(
% eta(A),i(B)),A),A)))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% j(quotient(
% i(x1),j(eta(A))))),
% i(quotient(eta(A),j(
% j(j(A))))))),
% quotient(difference(B,j(j(A))),j(j(A))))) is composed into
% [559]
% difference(eta(A),quotient(i(i(A)),quotient(difference(quotient(eta(A),i(B)),A),A)))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% j(quotient(i(x1),
% j(eta(A))))),
% i(j(j(A))))),quotient(difference(B,
% j(
% j(A))),
% j(j(A)))))
% New rule produced : [785] quotient(eta(A),j(j(j(A)))) -> j(j(A))
% Current number of equations to process: 2035
% Current number of ordered equations: 1416
% Current number of rules: 214
% Rule [599] product(A,B) -> quotient(A,quotient(difference(B,A),A)) is composed into
% [599] product(A,B) -> quotient(A,quotient(i(i(quotient(j(B),j(A)))),A))
% Rule [144]
% a(B,C,A) <->
% j(difference(A,t(a(A,B,C),difference(eta(A),quotient(quotient(eta(A),
% i(A)),quotient(
% difference(
% a(A,B,C),A),A)))))) is composed into
% [144]
% a(B,C,A) <->
% j(i(i(quotient(j(A),j(t(a(A,B,C),i(i(quotient(j(eta(A)),j(quotient(quotient(
% eta(A),
% i(A)),
% quotient(i(
% i(
% quotient(
% j(
% a(A,B,C)),
% j(A)))),A))))))))))))
% New rule produced : [786] difference(A,B) -> i(i(quotient(j(A),j(B))))
% Rule [4] difference(A,one) -> i(A) collapsed.
% Rule [41] difference(A,A) -> one collapsed.
% Rule [42] difference(one,A) -> A collapsed.
% Rule [51] quotient(A,difference(B,A)) -> B collapsed.
% Rule [52] difference(quotient(A,B),A) -> B collapsed.
% Rule [60] t(B,difference(B,A)) -> quotient(A,B) collapsed.
% Rule [295] difference(A,j(j(A))) -> eta(A) collapsed.
% Rule [316] difference(t(quotient(A,B),B),A) -> quotient(A,B) collapsed.
% Rule
% [370]
% difference(i(A),j(j(A))) -> difference(A,j(quotient(j(quotient(A,j(A))),A)))
% collapsed.
% Rule [449] difference(j(j(A)),A) -> j(eta(A)) collapsed.
% Rule
% [477] quotient(i(i(B)),quotient(difference(difference(i(i(B)),A),B),B)) -> A
% collapsed.
% Rule
% [481]
% a(A,difference(eta(B),difference(B,j(C))),D) -> a(A,quotient(i(B),i(i(C))),D)
% collapsed.
% Rule
% [482]
% a(difference(eta(A),difference(A,j(B))),C,D) -> a(quotient(i(A),i(i(B))),C,D)
% collapsed.
% Rule [524] difference(i(A),j(A)) -> eta(A) collapsed.
% Rule [530] difference(j(eta(A)),A) -> i(i(A)) collapsed.
% Rule [554] difference(eta(A),j(A)) -> j(j(j(A))) collapsed.
% Rule
% [558]
% quotient(quotient(eta(A),i(B)),difference(difference(eta(A),quotient(
% i(i(A)),quotient(
% difference(B,A),A))),B))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% j(quotient(i(x1),
% j(eta(A))))),
% i(i(i(A))))),quotient(i(
% i(
% quotient(
% j(B),
% i(A)))),
% i(i(A)))))
% collapsed.
% Rule
% [559]
% difference(eta(A),quotient(i(i(A)),quotient(difference(quotient(eta(A),i(B)),A),A)))
% ->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(quotient(
% eta(A),
% i(x1)),
% j(quotient(i(x1),
% j(eta(A))))),
% i(j(j(A))))),quotient(difference(B,
% j(
% j(A))),
% j(j(A)))))
% collapsed.
% Rule [565] difference(A,quotient(A,i(A))) -> i(i(A)) collapsed.
% Rule [575] quotient(difference(eta(A),B),B) -> j(eta(A)) collapsed.
% Rule [578] difference(A,quotient(A,eta(B))) -> j(eta(B)) collapsed.
% Rule [584] difference(j(A),A) -> j(quotient(j(A),j(j(A)))) collapsed.
% Rule [595] quotient(difference(j(eta(A)),B),B) -> eta(A) collapsed.
% Rule [603] quotient(quotient(A,quotient(difference(B,A),A)),B) -> A
% collapsed.
% Rule [604] quotient(quotient(A,quotient(difference(B,A),A)),A) -> t(A,B)
% collapsed.
% Rule
% [606]
% difference(quotient(A,quotient(difference(B,A),A)),quotient(A,quotient(
% difference(
% quotient(B,
% quotient(
% difference(C,B),B)),A),A)))
% ->
% quotient(quotient(quotient(C,quotient(difference(quotient(A,quotient(
% difference(B,A),A)),C),C)),B),A)
% collapsed.
% Rule
% [611]
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A)
% <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% eta(A),
% j(
% eta(A))),
% i(quotient(
% eta(A),quotient(
% i(
% quotient(A,
% quotient(
% difference(B,A),A))),
% j(
% eta(A))))))),
% quotient(difference(C,quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))))
% collapsed.
% Rule
% [612]
% quotient(A,quotient(difference(quotient(B,quotient(difference(c(C,D),B),B)),A),A))
% <->
% difference(eta(A),quotient(difference(eta(A),quotient(quotient(t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(quotient(i(x1),
% j(eta(A))))),
% i(quotient(eta(A),quotient(
% i(quotient(A,
% quotient(
% difference(B,A),A))),
% j(eta(A))))))),
% quotient(difference(c(C,D),quotient(A,quotient(difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))) collapsed.
% Rule
% [615]
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A)
% <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% quotient(
% i(x1),
% j(
% eta(A))))),
% i(quotient(
% eta(A),quotient(
% i(
% quotient(A,
% quotient(
% difference(B,A),A))),
% j(
% eta(A))))))),
% quotient(difference(C,quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))))
% collapsed.
% Rule [633] difference(i(i(A)),A) -> eta(A) collapsed.
% Rule [640] difference(A,quotient(A,j(A))) -> A collapsed.
% Rule [671] difference(A,i(B)) -> i(i(quotient(j(A),B))) collapsed.
% Rule [675] difference(eta(A),quotient(eta(A),B)) -> j(B) collapsed.
% Rule [676] difference(A,quotient(A,j(eta(B)))) -> eta(B) collapsed.
% Rule [686] difference(eta(A),j(j(A))) -> j(j(j(j(A)))) collapsed.
% Rule [687] difference(j(j(A)),quotient(A,i(A))) -> A collapsed.
% Rule [688] i(difference(eta(B),A)) -> quotient(i(A),j(eta(B))) collapsed.
% Rule [689] difference(j(eta(A)),difference(eta(A),B)) -> B collapsed.
% Rule [692] difference(B,j(eta(A))) -> i(quotient(eta(A),i(B))) collapsed.
% Rule [695] i(difference(j(eta(B)),A)) -> quotient(i(A),eta(B)) collapsed.
% Rule [696] difference(eta(A),difference(j(eta(A)),B)) -> B collapsed.
% Rule [697] quotient(difference(difference(B,A),B),B) -> difference(A,B)
% collapsed.
% Rule [708] difference(eta(A),B) -> j(quotient(i(B),j(eta(A)))) collapsed.
% Rule [723] difference(i(A),A) -> quotient(A,j(A)) collapsed.
% Rule
% [729]
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% eta(A),
% j(
% eta(A))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(difference(C,quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))))
% <->
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A)
% collapsed.
% Rule
% [730]
% quotient(quotient(B,quotient(difference(quotient(C,quotient(difference(A,C),C)),B),B)),A)
% <->
% difference(A,difference(eta(A),quotient(difference(eta(A),quotient(quotient(
% eta(A),
% j(
% eta(A))),
% i(quotient(A,
% quotient(
% difference(B,A),A))))),
% quotient(difference(C,quotient(A,quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))))
% collapsed.
% Rule [753] eta(difference(eta(A),B)) -> eta(quotient(i(B),j(eta(A))))
% collapsed.
% Rule [764] difference(j(eta(A)),j(B)) -> quotient(eta(A),B) collapsed.
% Rule [767] difference(A,eta(B)) -> quotient(i(A),j(eta(B))) collapsed.
% Rule
% [770]
% j(quotient(i(quotient(j(quotient(i(quotient(quotient(t(eta(A),quotient(x1,
% j(eta(A)))),
% j(quotient(i(x1),j(eta(A))))),
% i(quotient(A,B)))),j(eta(A)))),quotient(
% difference(B,
% quotient(A,B)),
% quotient(A,B)))),
% j(eta(A)))) -> A collapsed.
% Rule
% [771]
% j(quotient(i(quotient(j(quotient(i(quotient(quotient(quotient(eta(A),i(x1)),
% j(quotient(i(x1),j(eta(A))))),
% i(quotient(eta(A),i(B))))),j(eta(A)))),
% quotient(difference(C,quotient(eta(A),i(B))),quotient(eta(A),
% i(B))))),j(eta(A))))
% -> quotient(quotient(eta(A),i(B)),quotient(difference(C,B),B)) collapsed.
% Rule
% [772]
% j(quotient(i(quotient(j(quotient(i(quotient(quotient(t(eta(A),quotient(x1,
% j(eta(A)))),
% j(quotient(i(x1),j(eta(A))))),
% i(t(eta(A),B)))),j(eta(A)))),quotient(
% difference(
% t(eta(A),C),
% t(eta(A),B)),
% t(eta(A),B)))),
% j(eta(A)))) -> t(eta(A),quotient(B,quotient(difference(C,B),B))) collapsed.
% Rule
% [773]
% j(quotient(i(quotient(j(quotient(i(quotient(quotient(quotient(eta(A),i(x1)),
% j(quotient(i(x1),j(eta(A))))),
% j(a(A,B,C)))),j(eta(A)))),quotient(
% difference(
% difference(C,
% t(a(C,A,B),
% j(quotient(
% i(quotient(
% quotient(
% eta(A),
% i(C)),
% quotient(
% difference(
% a(C,A,B),C),C))),
% j(eta(A)))))),
% a(A,B,C)),
% a(A,B,C)))),
% j(eta(A)))) -> one collapsed.
% Rule
% [774]
% quotient(A,quotient(difference(t(B,j(quotient(i(quotient(j(quotient(i(
% quotient(
% quotient(
% i(
% i(x1)),
% quotient(
% j(
% quotient(
% j(x1),
% j(
% j(x1)))),x1)),
% j(
% a(C,D,E)))),
% j(eta(x1)))),
% quotient(difference(B,
% a(C,D,E)),a(C,D,E)))),
% j(eta(x1))))),A),A)) ->
% j(quotient(i(quotient(j(quotient(i(quotient(quotient(t(eta(A),quotient(x1,
% j(eta(A)))),
% j(quotient(i(x1),j(eta(A))))),
% i(quotient(A,quotient(difference(B,A),A))))),
% j(eta(A)))),quotient(difference(a(C,D,E),quotient(A,
% quotient(
% difference(B,A),A))),
% quotient(A,quotient(difference(B,A),A))))),
% j(eta(A)))) collapsed.
% Rule
% [775]
% j(quotient(i(quotient(i(i(A)),quotient(difference(t(B,j(quotient(i(quotient(
% j(
% quotient(
% i(
% quotient(
% quotient(
% i(
% i(x1)),
% quotient(
% j(
% quotient(
% j(x1),
% j(
% j(x1)))),x1)),
% j(
% a(C,D,E)))),
% j(
% eta(x1)))),
% quotient(
% difference(B,
% a(C,D,E)),
% a(C,D,E)))),
% j(eta(x1))))),A),A))),
% j(eta(A)))) ->
% j(quotient(i(quotient(j(quotient(i(quotient(quotient(quotient(eta(A),i(x1)),
% j(quotient(i(x1),j(eta(A))))),
% quotient(i(quotient(i(i(A)),quotient(
% difference(B,A),A))),
% j(eta(A))))),j(eta(A)))),quotient(
% difference(
% a(C,D,E),
% j(quotient(
% i(quotient(
% i(i(A)),
% quotient(
% difference(B,A),A))),
% j(eta(A))))),
% j(quotient(
% i(quotient(
% i(i(A)),
% quotient(
% difference(B,A),A))),
% j(eta(A))))))),
% j(eta(A)))) collapsed.
% Rule
% [776]
% j(quotient(i(quotient(j(quotient(i(quotient(quotient(t(eta(A),quotient(x1,
% j(eta(A)))),
% j(quotient(i(x1),j(eta(A))))),
% j(c(A,B)))),j(eta(A)))),quotient(difference(
% quotient(C,
% quotient(
% difference(D,C),C)),
% c(A,B)),
% c(A,B)))),
% j(eta(A)))) ->
% j(quotient(i(quotient(j(quotient(i(quotient(quotient(t(eta(A),quotient(x1,
% j(eta(A)))),
% j(quotient(i(x1),j(eta(A))))),
% quotient(i(quotient(j(quotient(i(quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% quotient(
% i(x1),
% j(
% eta(A))))),
% j(
% c(A,B)))),
% j(eta(A)))),
% quotient(difference(C,c(A,B)),
% c(A,B)))),j(eta(A))))),
% j(eta(A)))),quotient(difference(D,j(quotient(
% i(quotient(
% j(quotient(
% i(quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(quotient(
% i(x1),
% j(
% eta(A))))),
% j(c(A,B)))),
% j(eta(A)))),
% quotient(
% difference(C,
% c(A,B)),
% c(A,B)))),
% j(eta(A))))),
% j(quotient(i(quotient(j(quotient(
% i(quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(quotient(
% i(x1),
% j(eta(A))))),
% j(c(A,B)))),
% j(eta(A)))),
% quotient(difference(C,
% c(A,B)),c(A,B)))),
% j(eta(A))))))),j(eta(A)))) collapsed.
% Rule
% [777]
% j(quotient(i(quotient(j(quotient(i(quotient(quotient(t(eta(A),quotient(x1,
% j(eta(A)))),
% j(quotient(i(x1),j(eta(A))))),
% j(a(A,B,C)))),j(eta(A)))),quotient(
% difference(
% quotient(D,
% quotient(
% difference(E,D),D)),
% a(A,B,C)),
% a(A,B,C)))),
% j(eta(A)))) ->
% j(quotient(i(quotient(j(quotient(i(quotient(quotient(t(eta(A),quotient(x1,
% j(eta(A)))),
% j(quotient(i(x1),j(eta(A))))),
% quotient(i(quotient(j(quotient(i(quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% quotient(
% i(x1),
% j(
% eta(A))))),
% j(
% a(A,B,C)))),
% j(eta(A)))),
% quotient(difference(D,a(A,B,C)),
% a(A,B,C)))),j(eta(A))))),
% j(eta(A)))),quotient(difference(E,j(quotient(
% i(quotient(
% j(quotient(
% i(quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(quotient(
% i(x1),
% j(
% eta(A))))),
% j(a(A,B,C)))),
% j(eta(A)))),
% quotient(
% difference(D,
% a(A,B,C)),
% a(A,B,C)))),
% j(eta(A))))),
% j(quotient(i(quotient(j(quotient(
% i(quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(quotient(
% i(x1),
% j(eta(A))))),
% j(a(A,B,C)))),
% j(eta(A)))),
% quotient(difference(D,
% a(A,B,C)),a(A,B,C)))),
% j(eta(A))))))),j(eta(A)))) collapsed.
% Rule
% [778]
% j(quotient(i(quotient(j(quotient(i(quotient(quotient(t(eta(A),quotient(x1,
% j(eta(A)))),
% j(quotient(i(x1),j(eta(A))))),
% quotient(i(quotient(j(quotient(i(quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% quotient(
% i(x1),
% j(
% eta(A))))),
% quotient(A,
% j(A)))),
% j(eta(A)))),
% j(quotient(A,j(A))))),j(eta(A))))),
% j(eta(A)))),quotient(difference(quotient(B,quotient(
% difference(C,B),B)),
% j(quotient(i(quotient(j(
% quotient(
% i(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% quotient(
% i(x1),
% j(
% eta(A))))),
% quotient(A,
% j(A)))),
% j(
% eta(A)))),
% j(quotient(A,j(A))))),
% j(eta(A))))),j(quotient(
% i(quotient(
% j(quotient(
% i(quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% quotient(
% i(x1),
% j(
% eta(A))))),
% quotient(A,
% j(A)))),
% j(eta(A)))),
% j(quotient(A,
% j(A))))),
% j(eta(A))))))),
% j(eta(A)))) ->
% j(quotient(i(quotient(j(quotient(i(quotient(quotient(t(eta(A),quotient(x1,
% j(eta(A)))),
% j(quotient(i(x1),j(eta(A))))),
% quotient(i(quotient(j(quotient(i(quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% quotient(
% i(x1),
% j(
% eta(A))))),
% quotient(
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% quotient(
% i(x1),
% j(
% eta(A))))),
% quotient(A,
% j(A)))),
% j(
% eta(A)))),
% j(
% quotient(A,
% j(A))))),
% j(
% eta(A))))),
% j(eta(A)))),
% quotient(difference(B,j(
% quotient(
% i(
% quotient(
% j(
% quotient(
% i(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% quotient(
% i(x1),
% j(
% eta(A))))),
% quotient(A,
% j(A)))),
% j(
% eta(A)))),
% j(
% quotient(A,
% j(A))))),
% j(
% eta(A))))),
% j(quotient(i(quotient(j(
% quotient(
% i(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% quotient(
% i(x1),
% j(
% eta(A))))),
% quotient(A,
% j(A)))),
% j(
% eta(A)))),
% j(quotient(A,j(A))))),
% j(eta(A))))))),j(eta(A))))),
% j(eta(A)))),quotient(difference(C,j(quotient(
% i(quotient(
% j(quotient(
% i(quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(quotient(
% i(x1),
% j(
% eta(A))))),
% quotient(
% i(quotient(
% j(
% quotient(
% i(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% quotient(
% i(x1),
% j(
% eta(A))))),
% quotient(A,
% j(A)))),
% j(
% eta(A)))),
% j(
% quotient(A,
% j(A))))),
% j(eta(A))))),
% j(eta(A)))),
% quotient(
% difference(B,
% j(quotient(
% i(quotient(
% j(quotient(
% i(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% quotient(
% i(x1),
% j(
% eta(A))))),
% quotient(A,
% j(A)))),
% j(
% eta(A)))),
% j(quotient(A,
% j(A))))),
% j(eta(A))))),
% j(quotient(
% i(quotient(
% j(quotient(
% i(
% quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% quotient(
% i(x1),
% j(
% eta(A))))),
% quotient(A,
% j(A)))),
% j(
% eta(A)))),
% j(quotient(A,
% j(A))))),
% j(eta(A))))))),
% j(eta(A))))),
% j(quotient(i(quotient(j(quotient(
% i(quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(quotient(
% i(x1),
% j(eta(A))))),
% quotient(
% i(quotient(
% j(quotient(
% i(quotient(
% quotient(
% t(
% eta(A),
% quotient(x1,
% j(
% eta(A)))),
% j(
% quotient(
% i(x1),
% j(
% eta(A))))),
% quotient(A,
% j(A)))),
% j(eta(A)))),
% j(quotient(A,
% j(A))))),
% j(eta(A))))),
% j(eta(A)))),
% quotient(difference(B,
% j(quotient(
% i(quotient(
% j(quotient(
% i(quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(quotient(
% i(x1),
% j(
% eta(A))))),
% quotient(A,
% j(A)))),
% j(eta(A)))),
% j(quotient(A,
% j(A))))),
% j(eta(A))))),
% j(quotient(i(quotient(
% j(quotient(
% i(quotient(
% quotient(
% t(eta(A),
% quotient(x1,
% j(eta(A)))),
% j(quotient(
% i(x1),
% j(
% eta(A))))),
% quotient(A,
% j(A)))),
% j(eta(A)))),
% j(quotient(A,
% j(A))))),
% j(eta(A))))))),j(eta(A))))))),
% j(eta(A)))) collapsed.
% Rule [781] difference(A,j(A)) -> quotient(j(A),j(j(A))) collapsed.
% Rule [782] difference(i(quotient(eta(A),B)),B) -> eta(A) collapsed.
% Rule [784] difference(A,quotient(A,quotient(B,A))) -> quotient(A,B)
% collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% i(quotient(j(x1),i(quotient(j(eta(x1)),j(quotient(i(i(quotient(j(eta(x1)),
% j(quotient(quotient(
% i(i(x1)),
% quotient(
% j(quotient(
% j(x1),
% j(
% j(x1)))),x1)),
% i(i(quotient(
% j(x1),j(t(
% a(x1,x1,x0),
% i(
% i(
% quotient(
% j(
% eta(x1)),
% j(
% quotient(
% i(
% i(x1)),
% quotient(
% i(
% i(
% quotient(
% j(
% a(x1,x1,x0)),
% j(x1)))),x1)))))))))))))))),
% quotient(i(i(t(quotient(j(x1),
% j(t(a(x1,x1,x0),
% i(i(quotient(
% j(eta(x1)),
% j(quotient(
% i(i(x1)),
% quotient(
% i(i(quotient(
% j(
% a(x1,x1,x0)),
% j(x1)))),x1))))))))),
% j(t(a(x1,x1,x0),
% i(i(quotient(
% j(eta(x1)),
% j(quotient(
% i(i(x1)),
% quotient(
% i(i(quotient(
% j(a(x1,x1,x0)),
% j(x1)))),x1))))))))))),
% i(quotient(j(x1),j(t(a(x1,x1,x0),
% i(i(quotient(
% j(eta(x1)),
% j(quotient(
% i(i(x1)),
% quotient(
% i(i(
% quotient(
% j(
% a(x1,x1,x0)),
% j(x1)))),x1))))))))))))))))) =
% a(x1,x1,x0)
%
% Current number of equations to process: 2611
% Current number of ordered equations: 285
% Current number of rules: 154
% New rule produced :
% [787] quotient(quotient(A,quotient(i(i(quotient(j(B),j(A)))),A)),B) -> A
% Current number of equations to process: 2593
% Current number of ordered equations: 314
% Current number of rules: 155
% New rule produced :
% [788] quotient(quotient(A,quotient(i(i(quotient(j(B),j(A)))),A)),A) -> t(A,B)
% Current number of equations to process: 2593
% Current number of ordered equations: 313
% Current number of rules: 156
% New rule produced :
% [789]
% j(quotient(i(quotient(j(quotient(i(quotient(quotient(t(eta(A),quotient(x1,
% j(eta(A)))),
% j(quotient(i(x1),j(eta(A))))),
% i(quotient(A,B)))),j(eta(A)))),quotient(
% i(i(
% quotient(
% j(B),
% j(
% quotient(A,B))))),
% quotient(A,B)))),
% j(eta(A)))) -> A
% Current number of equations to process: 2593
% Current number of ordered equations: 312
% Current number of rules: 157
% New rule produced :
% [790]
% i(i(quotient(j(quotient(A,quotient(i(i(quotient(j(B),j(A)))),A))),j(quotient(A,
% quotient(
% i(
% i(
% quotient(
% j(
% quotient(B,
% quotient(
% i(
% i(
% quotient(
% j(C),
% j(B)))),B))),
% j(A)))),A))))))
% <->
% quotient(quotient(quotient(C,quotient(i(i(quotient(j(quotient(A,quotient(
% i(i(quotient(
% j(B),
% j(A)))),A))),
% j(C)))),C)),B),A)
% Current number of equations to process: 1896
% Current number of ordered equations: 1674
% Current number of rules: 158
% New rule produced :
% [791]
% quotient(quotient(quotient(C,quotient(i(i(quotient(j(quotient(A,quotient(
% i(i(quotient(
% j(B),
% j(A)))),A))),
% j(C)))),C)),B),A) <->
% i(i(quotient(j(quotient(A,quotient(i(i(quotient(j(B),j(A)))),A))),j(quotient(A,
% quotient(
% i(
% i(
% quotient(
% j(
% quotient(B,
% quotient(
% i(
% i(
% quotient(
% j(C),
% j(B)))),B))),
% j(A)))),A))))))
% Current number of equations to process: 1896
% Current number of ordered equations: 1673
% Current number of rules: 159
% New rule produced :
% [792]
% j(quotient(i(quotient(j(quotient(i(quotient(quotient(quotient(eta(A),i(x1)),
% j(quotient(i(x1),j(eta(A))))),
% i(quotient(eta(A),i(B))))),j(eta(A)))),
% quotient(i(i(quotient(j(C),j(quotient(eta(A),i(B)))))),quotient(
% eta(A),
% i(B))))),
% j(eta(A)))) ->
% quotient(quotient(eta(A),i(B)),quotient(i(i(quotient(j(C),j(B)))),B))
% Current number of equations to process: 1896
% Current number of ordered equations: 1672
% Current number of rules: 160
% New rule produced :
% [793]
% i(i(quotient(j(eta(A)),j(quotient(i(i(A)),quotient(i(i(quotient(j(quotient(
% eta(A),
% i(B))),
% j(A)))),A)))))) <->
% i(i(quotient(j(eta(A)),j(quotient(i(i(quotient(j(eta(A)),j(quotient(quotient(
% quotient(
% eta(A),
% i(x1)),
% Cputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------