%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : GRP568-1 : TPTP v6.0.0. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n125.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 00:23:29 EDT 2014

% Result   : Timeout 300.08s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : GRP568-1 : TPTP v6.0.0. Bugfixed v2.7.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n125.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 : Fri Jun  6 20:23:58 CDT 2014
% % CPUTime  : 300.08 
% Processing problem /tmp/CiME_59587_n125.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " b,a,identity : constant;  inverse : 1;  multiply : 2;  double_divide : 2;";
% let X = vars "A B C";
% let Axioms = equations F X "
% double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)) = B;
% multiply(A,B) = double_divide(double_divide(B,A),identity);
% inverse(A) = double_divide(A,identity);
% identity = double_divide(A,inverse(A));
% ";
% 
% let s1 = status F "
% b lr_lex;
% a lr_lex;
% inverse lr_lex;
% multiply lr_lex;
% identity lr_lex;
% double_divide lr_lex;
% ";
% 
% let p1 = precedence F "
% multiply > double_divide > inverse > identity > a > b";
% 
% let s2 = status F "
% b mul;
% a mul;
% inverse mul;
% multiply mul;
% identity mul;
% double_divide mul;
% ";
% 
% let p2 = precedence F "
% multiply > double_divide > inverse > identity = a = b";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " multiply(a,b) = multiply(b,a);"
% ;
% (*
% 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 = { double_divide(double_divide(A,double_divide(
% double_divide(B,
% double_divide(A,C)),
% double_divide(identity,C))),
% double_divide(identity,identity)) = B,
% multiply(A,B) =
% double_divide(double_divide(B,A),identity),
% inverse(A) = double_divide(A,identity),
% identity = double_divide(A,inverse(A)) }
% (4 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 = { multiply(a,b) = multiply(b,a) }
% (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced : [1] double_divide(A,identity) -> inverse(A)
% Current number of equations to process: 2
% Current number of ordered equations: 1
% Current number of rules: 1
% New rule produced : [2] double_divide(A,inverse(A)) -> identity
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 2
% New rule produced : [3] multiply(A,B) -> inverse(double_divide(B,A))
% The conjecture has been reduced. 
% Conjecture is now:
% inverse(double_divide(b,a)) = inverse(double_divide(a,b))
% 
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 3
% New rule produced :
% [4]
% double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),
% double_divide(identity,C))),inverse(identity))
% -> B
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced :
% [5]
% double_divide(double_divide(A,double_divide(double_divide(B,inverse(A)),
% inverse(identity))),inverse(identity)) -> B
% Current number of equations to process: 3
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced : [6] double_divide(inverse(A),inverse(identity)) -> A
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [7]
% double_divide(double_divide(A,double_divide(inverse(B),double_divide(identity,
% inverse(A)))),
% inverse(identity)) -> B
% Current number of equations to process: 2
% Current number of ordered equations: 1
% Current number of rules: 7
% New rule produced :
% [8]
% double_divide(double_divide(A,inverse(double_divide(B,double_divide(A,
% inverse(identity))))),
% inverse(identity)) -> B
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [9]
% double_divide(B,double_divide(double_divide(A,inverse(B)),inverse(identity)))
% <->
% double_divide(double_divide(identity,double_divide(A,inverse(identity))),
% inverse(identity))
% Current number of equations to process: 1
% Current number of ordered equations: 1
% Current number of rules: 9
% Rule [9]
% double_divide(B,double_divide(double_divide(A,inverse(B)),inverse(identity)))
% <->
% double_divide(double_divide(identity,double_divide(A,inverse(identity))),
% inverse(identity)) is composed into [9]
% double_divide(B,double_divide(
% double_divide(A,
% inverse(B)),
% inverse(identity)))
% <->
% double_divide(b,double_divide(
% double_divide(A,
% inverse(b)),
% inverse(identity)))
% New rule produced :
% [10]
% double_divide(double_divide(identity,double_divide(A,inverse(identity))),
% inverse(identity)) <->
% double_divide(B,double_divide(double_divide(A,inverse(B)),inverse(identity)))
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 10
% Rule [9]
% double_divide(B,double_divide(double_divide(A,inverse(B)),inverse(identity)))
% <->
% double_divide(b,double_divide(double_divide(A,inverse(b)),inverse(identity))) is composed into 
% [9]
% double_divide(B,double_divide(double_divide(A,inverse(B)),inverse(identity)))
% -> inverse(A)
% New rule produced :
% [11]
% double_divide(b,double_divide(double_divide(A,inverse(b)),inverse(identity)))
% -> inverse(A)
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [12]
% double_divide(double_divide(identity,inverse(inverse(A))),inverse(identity))
% -> A
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [13]
% double_divide(B,double_divide(inverse(A),double_divide(identity,inverse(B))))
% -> inverse(A)
% Rule
% [7]
% double_divide(double_divide(A,double_divide(inverse(B),double_divide(identity,
% inverse(A)))),
% inverse(identity)) -> B collapsed.
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [14]
% double_divide(B,inverse(double_divide(A,double_divide(B,inverse(identity)))))
% -> inverse(A)
% Rule
% [8]
% double_divide(double_divide(A,inverse(double_divide(B,double_divide(A,
% inverse(identity))))),
% inverse(identity)) -> B collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [15]
% double_divide(double_divide(inverse(A),inverse(double_divide(B,A))),inverse(identity))
% -> B
% Current number of equations to process: 3
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [16]
% double_divide(double_divide(double_divide(A,double_divide(B,inverse(identity))),A),
% inverse(identity)) -> B
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [17]
% double_divide(identity,double_divide(A,inverse(identity))) ->
% inverse(inverse(A))
% Rule
% [10]
% double_divide(double_divide(identity,double_divide(A,inverse(identity))),
% inverse(identity)) <->
% double_divide(B,double_divide(double_divide(A,inverse(B)),inverse(identity)))
% collapsed.
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [18] double_divide(inverse(A),A) -> inverse(identity)
% Current number of equations to process: 6
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [19]
% inverse(double_divide(identity,inverse(inverse(A)))) -> inverse(inverse(A))
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [20] double_divide(identity,inverse(inverse(A))) -> inverse(A)
% Rule
% [12]
% double_divide(double_divide(identity,inverse(inverse(A))),inverse(identity))
% -> A collapsed.
% Rule
% [19]
% inverse(double_divide(identity,inverse(inverse(A)))) -> inverse(inverse(A))
% collapsed.
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [21] double_divide(inverse(A),inverse(double_divide(B,A))) -> inverse(B)
% Rule
% [15]
% double_divide(double_divide(inverse(A),inverse(double_divide(B,A))),inverse(identity))
% -> B collapsed.
% Current number of equations to process: 7
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [22]
% double_divide(double_divide(A,inverse(B)),inverse(inverse(A))) -> inverse(B)
% Current number of equations to process: 9
% Current number of ordered equations: 1
% Current number of rules: 16
% New rule produced :
% [23]
% double_divide(double_divide(A,double_divide(B,inverse(identity))),A) ->
% inverse(B)
% Rule
% [16]
% double_divide(double_divide(double_divide(A,double_divide(B,inverse(identity))),A),
% inverse(identity)) -> B collapsed.
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [24] double_divide(identity,A) -> inverse(inverse(inverse(A)))
% Rule
% [4]
% double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),
% double_divide(identity,C))),inverse(identity))
% -> B collapsed.
% Rule
% [13]
% double_divide(B,double_divide(inverse(A),double_divide(identity,inverse(B))))
% -> inverse(A) collapsed.
% Rule
% [17]
% double_divide(identity,double_divide(A,inverse(identity))) ->
% inverse(inverse(A)) collapsed.
% Rule [20] double_divide(identity,inverse(inverse(A))) -> inverse(A)
% collapsed.
% Current number of equations to process: 13
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [25]
% double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),
% inverse(inverse(inverse(C))))),inverse(identity))
% -> B
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [26] inverse(inverse(inverse(inverse(inverse(A))))) -> inverse(A)
% Current number of equations to process: 11
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [27]
% inverse(inverse(inverse(double_divide(A,inverse(identity))))) ->
% inverse(inverse(A))
% Current number of equations to process: 10
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [28] inverse(inverse(identity)) -> inverse(identity)
% Current number of equations to process: 11
% Current number of ordered equations: 0
% Current number of rules: 17
% Rule [24] double_divide(identity,A) -> inverse(inverse(inverse(A))) is composed into 
% [24] double_divide(identity,A) -> inverse(A)
% New rule produced : [29] inverse(inverse(inverse(A))) -> inverse(A)
% Rule
% [25]
% double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),
% inverse(inverse(inverse(C))))),inverse(identity))
% -> B collapsed.
% Rule [26] inverse(inverse(inverse(inverse(inverse(A))))) -> inverse(A)
% collapsed.
% Rule
% [27]
% inverse(inverse(inverse(double_divide(A,inverse(identity))))) ->
% inverse(inverse(A)) collapsed.
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [30]
% double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),
% inverse(C))),inverse(identity)) -> B
% Current number of equations to process: 11
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [31] inverse(double_divide(A,inverse(identity))) -> inverse(inverse(A))
% Current number of equations to process: 10
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [32] double_divide(double_divide(A,B),A) -> inverse(inverse(B))
% Rule
% [23]
% double_divide(double_divide(A,double_divide(B,inverse(identity))),A) ->
% inverse(B) collapsed.
% Current number of equations to process: 11
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [33] double_divide(inverse(identity),inverse(inverse(A))) -> inverse(A)
% Current number of equations to process: 11
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [34] double_divide(inverse(identity),inverse(A)) -> inverse(inverse(A))
% Rule [33] double_divide(inverse(identity),inverse(inverse(A))) -> inverse(A)
% collapsed.
% Current number of equations to process: 11
% Current number of ordered equations: 0
% Current number of rules: 18
% Rule [34] double_divide(inverse(identity),inverse(A)) -> inverse(inverse(A)) is composed into 
% [34] double_divide(inverse(identity),inverse(A)) -> A
% Rule [32] double_divide(double_divide(A,B),A) -> inverse(inverse(B)) is composed into 
% [32] double_divide(double_divide(A,B),A) -> B
% Rule [31] inverse(double_divide(A,inverse(identity))) -> inverse(inverse(A)) is composed into 
% [31] inverse(double_divide(A,inverse(identity))) -> A
% New rule produced : [35] inverse(inverse(A)) -> A
% Rule
% [22]
% double_divide(double_divide(A,inverse(B)),inverse(inverse(A))) -> inverse(B)
% collapsed.
% Rule [28] inverse(inverse(identity)) -> inverse(identity) collapsed.
% Rule [29] inverse(inverse(inverse(A))) -> inverse(A) collapsed.
% Current number of equations to process: 13
% Current number of ordered equations: 0
% Current number of rules: 16
% Rule [18] double_divide(inverse(A),A) -> inverse(identity) is composed into 
% [18] double_divide(inverse(A),A) -> identity
% New rule produced : [36] inverse(identity) -> identity
% Rule
% [5]
% double_divide(double_divide(A,double_divide(double_divide(B,inverse(A)),
% inverse(identity))),inverse(identity)) -> B
% collapsed.
% Rule [6] double_divide(inverse(A),inverse(identity)) -> A collapsed.
% Rule
% [9]
% double_divide(B,double_divide(double_divide(A,inverse(B)),inverse(identity)))
% -> inverse(A) collapsed.
% Rule
% [11]
% double_divide(b,double_divide(double_divide(A,inverse(b)),inverse(identity)))
% -> inverse(A) collapsed.
% Rule
% [14]
% double_divide(B,inverse(double_divide(A,double_divide(B,inverse(identity)))))
% -> inverse(A) collapsed.
% Rule
% [30]
% double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),
% inverse(C))),inverse(identity)) -> B collapsed.
% Rule [31] inverse(double_divide(A,inverse(identity))) -> A collapsed.
% Rule [34] double_divide(inverse(identity),inverse(A)) -> A collapsed.
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [37]
% inverse(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),
% inverse(C)))) -> B
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced : [38] double_divide(A,double_divide(B,A)) -> B
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [39] double_divide(inverse(A),inverse(B)) -> inverse(double_divide(A,B))
% Rule [21] double_divide(inverse(A),inverse(double_divide(B,A))) -> inverse(B)
% collapsed.
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [40] double_divide(A,inverse(double_divide(B,inverse(A)))) -> inverse(B)
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [41] double_divide(double_divide(A,inverse(B)),inverse(B)) -> A
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [42] inverse(double_divide(A,double_divide(A,B))) -> inverse(B)
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [43] inverse(double_divide(inverse(A),B)) -> double_divide(A,inverse(B))
% Current number of equations to process: 19
% Current number of ordered equations: 1
% Current number of rules: 15
% New rule produced :
% [44] double_divide(inverse(A),B) -> inverse(double_divide(A,inverse(B)))
% Rule [18] double_divide(inverse(A),A) -> identity collapsed.
% Rule [39] double_divide(inverse(A),inverse(B)) -> inverse(double_divide(A,B))
% collapsed.
% Rule [43] inverse(double_divide(inverse(A),B)) -> double_divide(A,inverse(B))
% collapsed.
% Current number of equations to process: 19
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [45]
% inverse(double_divide(A,inverse(double_divide(double_divide(A,B),B)))) ->
% identity
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [46]
% inverse(double_divide(A,double_divide(B,inverse(C)))) <->
% double_divide(double_divide(A,C),B)
% Rule
% [37]
% inverse(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),
% inverse(C)))) -> B collapsed.
% Current number of equations to process: 17
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [47] double_divide(double_divide(A,B),B) -> A
% Rule [41] double_divide(double_divide(A,inverse(B)),inverse(B)) -> A
% collapsed.
% Rule
% [45]
% inverse(double_divide(A,inverse(double_divide(double_divide(A,B),B)))) ->
% identity collapsed.
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced : [48] double_divide(B,double_divide(B,A)) -> A
% Rule [42] inverse(double_divide(A,double_divide(A,B))) -> inverse(B)
% collapsed.
% Current number of equations to process: 19
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [49] inverse(double_divide(B,inverse(A))) <-> double_divide(A,inverse(B))
% Current number of equations to process: 18
% Current number of ordered equations: 1
% Current number of rules: 14
% New rule produced :
% [50] double_divide(A,inverse(B)) <-> inverse(double_divide(B,inverse(A)))
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [51]
% inverse(double_divide(A,double_divide(B,C))) <->
% double_divide(double_divide(A,inverse(C)),B)
% Current number of equations to process: 24
% Current number of ordered equations: 3
% Current number of rules: 16
% New rule produced :
% [52]
% inverse(double_divide(double_divide(A,B),C)) <->
% double_divide(A,double_divide(C,inverse(B)))
% Current number of equations to process: 24
% Current number of ordered equations: 2
% Current number of rules: 17
% New rule produced :
% [53]
% double_divide(A,double_divide(C,inverse(B))) <->
% inverse(double_divide(double_divide(A,B),C))
% Current number of equations to process: 24
% Current number of ordered equations: 1
% Current number of rules: 18
% New rule produced :
% [54]
% double_divide(double_divide(A,inverse(C)),B) <->
% inverse(double_divide(A,double_divide(B,C)))
% Current number of equations to process: 24
% Current number of ordered equations: 0
% Current number of rules: 19
% double_divide(B,A) = double_divide(A,B) (birth = 314, lhs_size = 3, rhs_size = 3,trace = Cp of 47 and 38)
% Initializing completion ...
% New rule produced : [1] identity <-> inverse(identity)
% Current number of equations to process: 25
% Current number of ordered equations: 31
% Current number of rules: 1
% New rule produced : [2] inverse(identity) <-> identity
% Current number of equations to process: 25
% Current number of ordered equations: 30
% Current number of rules: 2
% New rule produced : [3] A <-> inverse(inverse(A))
% Current number of equations to process: 26
% Current number of ordered equations: 29
% Current number of rules: 3
% New rule produced : [4] inverse(inverse(A)) <-> A
% Current number of equations to process: 26
% Current number of ordered equations: 28
% Current number of rules: 4
% New rule produced : [5] inverse(A) <-> identity double_divide A
% Current number of equations to process: 27
% Current number of ordered equations: 27
% Current number of rules: 5
% New rule produced : [6] identity double_divide A <-> inverse(A)
% Current number of equations to process: 27
% Current number of ordered equations: 26
% Current number of rules: 6
% New rule produced : [7] identity <-> inverse(A) double_divide A
% Current number of equations to process: 33
% Current number of ordered equations: 27
% Current number of rules: 7
% New rule produced : [8] inverse(A) double_divide A <-> identity
% Current number of equations to process: 33
% Current number of ordered equations: 26
% Current number of rules: 8
% New rule produced : [9] A <-> (A double_divide B) double_divide B
% Current number of equations to process: 36
% Current number of ordered equations: 36
% Current number of rules: 9
% New rule produced : [10] inverse(A double_divide B) <-> multiply(A,B)
% Current number of equations to process: 36
% Current number of ordered equations: 35
% Current number of rules: 10
% New rule produced : [11] multiply(A,B) <-> inverse(A double_divide B)
% Current number of equations to process: 36
% Current number of ordered equations: 34
% Current number of rules: 11
% New rule produced : [12] (A double_divide B) double_divide B <-> A
% Current number of equations to process: 36
% Current number of ordered equations: 32
% Current number of rules: 12
% New rule produced :
% [13] multiply(A,B) <-> identity double_divide (A double_divide B)
% Current number of equations to process: 51
% Current number of ordered equations: 69
% Current number of rules: 13
% New rule produced :
% [14] identity double_divide (A double_divide B) <-> multiply(A,B)
% Current number of equations to process: 51
% Current number of ordered equations: 68
% Current number of rules: 14
% New rule produced :
% [15] inverse(inverse(B) double_divide A) <-> inverse(A) double_divide B
% Current number of equations to process: 60
% Current number of ordered equations: 95
% Current number of rules: 15
% New rule produced :
% [16] inverse(A) double_divide B <-> inverse(inverse(B) double_divide A)
% Current number of equations to process: 60
% Current number of ordered equations: 92
% Current number of rules: 16
% New rule produced :
% [17] inverse(B) <-> inverse(inverse(A) double_divide B) double_divide A
% Current number of equations to process: 67
% Current number of ordered equations: 155
% Current number of rules: 17
% New rule produced :
% [18] inverse(inverse(A) double_divide B) double_divide A <-> inverse(B)
% Current number of equations to process: 67
% Current number of ordered equations: 154
% Current number of rules: 18
% New rule produced :
% [19]
% inverse((A double_divide B) double_divide C) <->
% (inverse(B) double_divide C) double_divide A
% Current number of equations to process: 80
% Current number of ordered equations: 214
% Current number of rules: 19
% New rule produced :
% [20]
% (inverse(B) double_divide C) double_divide A <->
% inverse((A double_divide B) double_divide C)
% Current number of equations to process: 80
% Current number of ordered equations: 212
% Current number of rules: 20
% New rule produced :
% [21]
% inverse((inverse(C) double_divide B) double_divide A) <->
% (A double_divide C) double_divide B
% Current number of equations to process: 131
% Current number of ordered equations: 271
% Current number of rules: 21
% New rule produced :
% [22]
% (A double_divide C) double_divide B <->
% inverse((inverse(C) double_divide B) double_divide A)
% Current number of equations to process: 131
% Current number of ordered equations: 270
% Current number of rules: 22
% New rule produced :
% [23]
% B <->
% (identity double_divide identity) double_divide (((identity double_divide C) double_divide 
% ((A double_divide C) double_divide B)) double_divide A)
% Current number of equations to process: 14
% Current number of ordered equations: 701
% Current number of rules: 23
% New rule produced :
% [24]
% (identity double_divide identity) double_divide (((identity double_divide C) double_divide 
% ((A double_divide C) double_divide B)) double_divide A)
% <-> B
% Current number of equations to process: 14
% Current number of ordered equations: 700
% Current number of rules: 24
% New rule produced : [25] identity <-> identity double_divide identity
% Current number of equations to process: 14
% Current number of ordered equations: 698
% Current number of rules: 25
% New rule produced : [26] identity double_divide identity <-> identity
% Current number of equations to process: 14
% Current number of ordered equations: 696
% Current number of rules: 26
% New rule produced : [27] A <-> multiply(A,identity)
% Current number of equations to process: 14
% Current number of ordered equations: 695
% Current number of rules: 27
% New rule produced : [28] A <-> multiply(identity,A)
% Current number of equations to process: 14
% Current number of ordered equations: 694
% Current number of rules: 28
% New rule produced : [29] multiply(A,identity) <-> A
% Current number of equations to process: 14
% Current number of ordered equations: 693
% Current number of rules: 29
% New rule produced : [30] multiply(identity,A) <-> A
% Current number of equations to process: 14
% Current number of ordered equations: 692
% Current number of rules: 30
% New rule produced : [31] identity <-> inverse(inverse(inverse(identity)))
% Current number of equations to process: 14
% Current number of ordered equations: 691
% Current number of rules: 31
% New rule produced : [32] inverse(inverse(inverse(identity))) <-> identity
% Current number of equations to process: 14
% Current number of ordered equations: 690
% Current number of rules: 32
% New rule produced : [33] A <-> inverse(identity double_divide A)
% Current number of equations to process: 14
% Current number of ordered equations: 686
% Current number of rules: 33
% New rule produced : [34] A <-> identity double_divide inverse(A)
% Current number of equations to process: 14
% Current number of ordered equations: 682
% Current number of rules: 34
% New rule produced : [35] inverse(identity double_divide A) <-> A
% Current number of equations to process: 14
% Current number of ordered equations: 678
% Current number of rules: 35
% New rule produced : [36] identity double_divide inverse(A) <-> A
% Current number of equations to process: 14
% Current number of ordered equations: 674
% Current number of rules: 36
% multiply(B,A) = multiply(A,B) (birth = 82, lhs_size = 3, rhs_size = 3,trace = Self cp of 10)
% Initializing completion ...
% New rule produced : [1] identity <-> inverse(identity)
% Current number of equations to process: 0
% Current number of ordered equations: 47
% Current number of rules: 1
% New rule produced : [2] inverse(identity) <-> identity
% Current number of equations to process: 0
% Current number of ordered equations: 46
% Current number of rules: 2
% New rule produced : [3] A <-> inverse(inverse(A))
% Current number of equations to process: 1
% Current number of ordered equations: 45
% Current number of rules: 3
% New rule produced : [4] A <-> identity multiply A
% Current number of equations to process: 1
% Current number of ordered equations: 43
% Current number of rules: 4
% New rule produced : [5] identity <-> identity double_divide identity
% Current number of equations to process: 1
% Current number of ordered equations: 41
% Current number of rules: 5
% New rule produced : [6] inverse(inverse(A)) <-> A
% Current number of equations to process: 1
% Current number of ordered equations: 40
% Current number of rules: 6
% New rule produced : [7] (eq)(A,A) -> (true)
% Current number of equations to process: 1
% Current number of ordered equations: 39
% Current number of rules: 7
% New rule produced : [8] identity multiply A <-> A
% Current number of equations to process: 1
% Current number of ordered equations: 37
% Current number of rules: 8
% New rule produced : [9] identity double_divide identity <-> identity
% Current number of equations to process: 1
% Current number of ordered equations: 35
% Current number of rules: 9
% New rule produced : [10] inverse(A) <-> identity double_divide A
% Current number of equations to process: 24
% Current number of ordered equations: 34
% Current number of rules: 10
% New rule produced : [11] identity double_divide A <-> inverse(A)
% Current number of equations to process: 24
% Current number of ordered equations: 33
% Current number of rules: 11
% New rule produced : [12] A <-> inverse(identity double_divide A)
% Current number of equations to process: 32
% Current number of ordered equations: 33
% Current number of rules: 12
% New rule produced : [13] A <-> identity double_divide inverse(A)
% Current number of equations to process: 32
% Current number of ordered equations: 31
% Current number of rules: 13
% New rule produced : [14] identity <-> inverse(inverse(inverse(identity)))
% Current number of equations to process: 32
% Current number of ordered equations: 29
% Current number of rules: 14
% New rule produced : [15] identity <-> inverse(A) double_divide A
% Current number of equations to process: 32
% Current number of ordered equations: 27
% Current number of rules: 15
% New rule produced : [16] inverse(identity double_divide A) <-> A
% Current number of equations to process: 32
% Current number of ordered equations: 25
% Current number of rules: 16
% New rule produced : [17] inverse(inverse(inverse(identity))) <-> identity
% Current number of equations to process: 32
% Current number of ordered equations: 23
% Current number of rules: 17
% New rule produced :
% [18] (eq)(inverse(inverse(A)),identity multiply A) -> (false)
% Current number of equations to process: 32
% Current number of ordered equations: 22
% Current number of rules: 18
% New rule produced : [19] identity double_divide inverse(A) <-> A
% Current number of equations to process: 32
% Current number of ordered equations: 20
% Current number of rules: 19
% New rule produced : [20] inverse(A) double_divide A <-> identity
% Current number of equations to process: 32
% Current number of ordered equations: 18
% Current number of rules: 20
% New rule produced : [21] A <-> (A double_divide B) double_divide B
% Current number of equations to process: 144
% Current number of ordered equations: 42
% Current number of rules: 21
% New rule produced : [22] inverse(A double_divide B) <-> A multiply B
% Current number of equations to process: 144
% Current number of ordered equations: 41
% Current number of rules: 22
% New rule produced : [23] A multiply B <-> inverse(A double_divide B)
% Current number of equations to process: 144
% Current number of ordered equations: 40
% Current number of rules: 23
% New rule produced : [24] (A double_divide B) double_divide B <-> A
% Current number of equations to process: 144
% Current number of ordered equations: 39
% Current number of rules: 24
% New rule produced :
% [25] A multiply B <-> identity double_divide (A double_divide B)
% Current number of equations to process: 150
% Current number of ordered equations: 146
% Current number of rules: 25
% New rule produced :
% [26] identity double_divide (A double_divide B) <-> A multiply B
% Current number of equations to process: 150
% Current number of ordered equations: 145
% Current number of rules: 26
% New rule produced :
% [27] inverse(inverse(B) double_divide A) <-> inverse(A) double_divide B
% Current number of equations to process: 121
% Current number of ordered equations: 259
% Current number of rules: 27
% New rule produced :
% [28] inverse(A) double_divide B <-> inverse(inverse(B) double_divide A)
% Current number of equations to process: 121
% Current number of ordered equations: 258
% Current number of rules: 28
% New rule produced :
% [29] inverse(B) <-> inverse(inverse(A) double_divide B) double_divide A
% Current number of equations to process: 95
% Current number of ordered equations: 417
% Current number of rules: 29
% New rule produced :
% [30] inverse(inverse(A) double_divide B) double_divide A <-> inverse(B)
% Current number of equations to process: 95
% Current number of ordered equations: 416
% Current number of rules: 30
% New rule produced :
% [31]
% inverse((A double_divide B) double_divide C) <->
% (inverse(B) double_divide C) double_divide A
% Current number of equations to process: 95
% Current number of ordered equations: 548
% Current number of rules: 31
% New rule produced :
% [32]
% (inverse(B) double_divide C) double_divide A <->
% inverse((A double_divide B) double_divide C)
% Current number of equations to process: 95
% Current number of ordered equations: 547
% Current number of rules: 32
% New rule produced :
% [33]
% inverse((inverse(C) double_divide B) double_divide A) <->
% (A double_divide C) double_divide B
% Current number of equations to process: 161
% Current number of ordered equations: 618
% Current number of rules: 33
% New rule produced :
% [34]
% (A double_divide C) double_divide B <->
% inverse((inverse(C) double_divide B) double_divide A)
% Current number of equations to process: 161
% Current number of ordered equations: 617
% Current number of rules: 34
% New rule produced :
% [35]
% B <->
% (identity double_divide identity) double_divide (((identity double_divide C) double_divide 
% ((A double_divide C) double_divide B)) double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 1162
% Current number of rules: 35
% New rule produced :
% [36]
% (identity double_divide identity) double_divide (((identity double_divide C) double_divide 
% ((A double_divide C) double_divide B)) double_divide A)
% <-> B
% Current number of equations to process: 4
% Current number of ordered equations: 1161
% Current number of rules: 36
% New rule produced : [37] (eq)(A,identity multiply A) -> (false)
% Current number of equations to process: 4
% Current number of ordered equations: 1159
% Current number of rules: 37
% New rule produced : [38] (eq)(inverse(inverse(A)),A) -> (false)
% Current number of equations to process: 4
% Current number of ordered equations: 1158
% Current number of rules: 38
% New rule produced : [39] inverse(identity) <-> identity multiply identity
% Current number of equations to process: 4
% Current number of ordered equations: 1156
% Current number of rules: 39
% New rule produced : [40] identity multiply identity <-> inverse(identity)
% Current number of equations to process: 4
% Current number of ordered equations: 1154
% Current number of rules: 40
% New rule produced :
% [41] (eq)(inverse(identity),identity multiply identity) -> (false)
% Current number of equations to process: 4
% Current number of ordered equations: 1153
% Current number of rules: 41
% New rule produced : [42] identity <-> inverse(identity multiply identity)
% Current number of equations to process: 4
% Current number of ordered equations: 1152
% Current number of rules: 42
% New rule produced : [43] identity <-> identity multiply inverse(identity)
% Current number of equations to process: 4
% Current number of ordered equations: 1151
% Current number of rules: 43
% New rule produced : [44] inverse(identity multiply identity) <-> identity
% Current number of equations to process: 4
% Current number of ordered equations: 1150
% Current number of rules: 44
% New rule produced : [45] identity multiply inverse(identity) <-> identity
% Current number of equations to process: 4
% Current number of ordered equations: 1149
% Current number of rules: 45
% New rule produced : [46] inverse(inverse(A)) <-> identity multiply A
% Current number of equations to process: 4
% Current number of ordered equations: 1147
% Current number of rules: 46
% New rule produced : [47] identity multiply A <-> inverse(inverse(A))
% Current number of equations to process: 4
% Current number of ordered equations: 1145
% Current number of rules: 47
% New rule produced :
% [48] inverse(inverse(identity)) <-> identity double_divide identity
% Current number of equations to process: 4
% Current number of ordered equations: 1142
% Current number of rules: 48
% New rule produced :
% [49] identity double_divide identity <-> inverse(inverse(identity))
% Current number of equations to process: 4
% Current number of ordered equations: 1139
% Current number of rules: 49
% New rule produced :
% [50] identity multiply identity <-> identity double_divide identity
% Current number of equations to process: 4
% Current number of ordered equations: 1137
% Current number of rules: 50
% New rule produced :
% [51] identity double_divide identity <-> identity multiply identity
% Current number of equations to process: 4
% Current number of ordered equations: 1135
% Current number of rules: 51
% New rule produced : [52] A <-> inverse(identity) multiply A
% Rule [43] identity <-> identity multiply inverse(identity) collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 1134
% Current number of rules: 51
% New rule produced : [53] inverse(identity) multiply A <-> A
% Rule [45] identity multiply inverse(identity) <-> identity collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 1133
% Current number of rules: 51
% New rule produced :
% [54] (eq)(identity,identity multiply inverse(identity)) -> (false)
% Current number of equations to process: 4
% Current number of ordered equations: 1132
% Current number of rules: 52
% New rule produced : [55] inverse(A) <-> inverse(identity) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 1124
% Current number of rules: 53
% New rule produced : [56] inverse(identity) double_divide A <-> inverse(A)
% Current number of equations to process: 4
% Current number of ordered equations: 1116
% Current number of rules: 54
% New rule produced : [57] inverse(identity) <-> inverse(A) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 1112
% Current number of rules: 55
% New rule produced : [58] inverse(A) double_divide A <-> inverse(identity)
% Current number of equations to process: 4
% Current number of ordered equations: 1108
% Current number of rules: 56
% New rule produced : [59] inverse(identity) <-> inverse(A) multiply A
% Current number of equations to process: 4
% Current number of ordered equations: 1107
% Current number of rules: 57
% New rule produced : [60] inverse(A) multiply A <-> inverse(identity)
% Current number of equations to process: 4
% Current number of ordered equations: 1106
% Current number of rules: 58
% New rule produced : [61] A <-> inverse(inverse(inverse(inverse(A))))
% Current number of equations to process: 4
% Current number of ordered equations: 1103
% Current number of rules: 59
% New rule produced : [62] inverse(inverse(inverse(inverse(A)))) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 1100
% Current number of rules: 60
% New rule produced : [63] A <-> inverse(identity multiply inverse(A))
% Current number of equations to process: 4
% Current number of ordered equations: 1099
% Current number of rules: 61
% New rule produced : [64] A <-> identity multiply inverse(inverse(A))
% Current number of equations to process: 4
% Current number of ordered equations: 1098
% Current number of rules: 62
% New rule produced : [65] inverse(identity multiply inverse(A)) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 1097
% Current number of rules: 63
% New rule produced : [66] identity multiply inverse(inverse(A)) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 1096
% Current number of rules: 64
% New rule produced : [67] A <-> inverse(inverse(identity multiply A))
% Current number of equations to process: 4
% Current number of ordered equations: 1095
% Current number of rules: 65
% New rule produced : [68] A <-> inverse(inverse(identity)) multiply A
% Current number of equations to process: 4
% Current number of ordered equations: 1094
% Current number of rules: 66
% New rule produced : [69] inverse(inverse(identity multiply A)) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 1093
% Current number of rules: 67
% New rule produced : [70] inverse(inverse(identity)) multiply A <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 1092
% Current number of rules: 68
% New rule produced : [71] A <-> identity multiply (identity multiply A)
% Current number of equations to process: 4
% Current number of ordered equations: 1091
% Current number of rules: 69
% New rule produced : [72] A <-> (identity multiply identity) multiply A
% Current number of equations to process: 4
% Current number of ordered equations: 1090
% Current number of rules: 70
% New rule produced : [73] identity multiply (identity multiply A) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 1089
% Current number of rules: 71
% New rule produced : [74] (identity multiply identity) multiply A <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 1088
% Current number of rules: 72
% New rule produced : [75] A <-> (identity double_divide identity) multiply A
% Current number of equations to process: 4
% Current number of ordered equations: 1086
% Current number of rules: 73
% New rule produced : [76] (identity double_divide identity) multiply A <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 1084
% Current number of rules: 74
% New rule produced :
% [77] identity <-> inverse(inverse(identity double_divide identity))
% Current number of equations to process: 4
% Current number of ordered equations: 1081
% Current number of rules: 75
% New rule produced :
% [78] identity <-> identity double_divide inverse(inverse(identity))
% Current number of equations to process: 4
% Current number of ordered equations: 1077
% Current number of rules: 76
% New rule produced :
% [79] inverse(inverse(identity double_divide identity)) <-> identity
% Current number of equations to process: 4
% Current number of ordered equations: 1074
% Current number of rules: 77
% New rule produced :
% [80] identity double_divide inverse(inverse(identity)) <-> identity
% Current number of equations to process: 4
% Current number of ordered equations: 1070
% Current number of rules: 78
% New rule produced :
% [81] identity <-> identity double_divide (identity multiply identity)
% Current number of equations to process: 4
% Current number of ordered equations: 1069
% Current number of rules: 79
% New rule produced :
% [82] identity double_divide (identity multiply identity) <-> identity
% Current number of equations to process: 4
% Current number of ordered equations: 1068
% Current number of rules: 80
% New rule produced :
% [83] inverse(inverse(inverse(A))) <-> identity double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 1066
% Current number of rules: 81
% New rule produced :
% [84] identity double_divide A <-> inverse(inverse(inverse(A)))
% Current number of equations to process: 4
% Current number of ordered equations: 1064
% Current number of rules: 82
% New rule produced :
% [85] identity multiply inverse(A) <-> identity double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 1062
% Current number of rules: 83
% New rule produced :
% [86] identity double_divide A <-> identity multiply inverse(A)
% Current number of equations to process: 4
% Current number of ordered equations: 1060
% Current number of rules: 84
% New rule produced :
% [87] identity <-> inverse(identity double_divide inverse(identity))
% Current number of equations to process: 4
% Current number of ordered equations: 1057
% Current number of rules: 85
% New rule produced :
% [88] inverse(identity double_divide inverse(identity)) <-> identity
% Current number of equations to process: 4
% Current number of ordered equations: 1054
% Current number of rules: 86
% New rule produced :
% [89]
% inverse(identity double_divide identity) <-> identity double_divide identity
% Current number of equations to process: 4
% Current number of ordered equations: 1053
% Current number of rules: 87
% New rule produced :
% [90]
% identity double_divide identity <-> inverse(identity double_divide identity)
% Current number of equations to process: 4
% Current number of ordered equations: 1052
% Current number of rules: 88
% New rule produced :
% [91] identity multiply A <-> identity double_divide inverse(A)
% Current number of equations to process: 4
% Current number of ordered equations: 1050
% Current number of rules: 89
% New rule produced :
% [92] identity double_divide inverse(A) <-> identity multiply A
% Current number of equations to process: 4
% Current number of ordered equations: 1048
% Current number of rules: 90
% New rule produced :
% [93] inverse(inverse(inverse(identity))) <-> identity multiply identity
% Current number of equations to process: 4
% Current number of ordered equations: 1047
% Current number of rules: 91
% New rule produced :
% [94] identity multiply identity <-> inverse(inverse(inverse(identity)))
% Current number of equations to process: 4
% Current number of ordered equations: 1046
% Current number of rules: 92
% New rule produced : [95] identity <-> inverse(inverse(A) double_divide A)
% Rule [87] identity <-> inverse(identity double_divide inverse(identity))
% collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 1044
% Current number of rules: 92
% New rule produced : [96] inverse(inverse(A) double_divide A) <-> identity
% Rule [88] inverse(identity double_divide inverse(identity)) <-> identity
% collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 1042
% Current number of rules: 92
% New rule produced :
% [97] inverse(inverse(identity)) <-> inverse(A) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 1041
% Current number of rules: 93
% New rule produced :
% [98] inverse(A) double_divide A <-> inverse(inverse(identity))
% Current number of equations to process: 4
% Current number of ordered equations: 1040
% Current number of rules: 94
% New rule produced :
% [99] identity multiply identity <-> inverse(A) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 1039
% Current number of rules: 95
% New rule produced :
% [100] inverse(A) double_divide A <-> identity multiply identity
% Current number of equations to process: 4
% Current number of ordered equations: 1038
% Current number of rules: 96
% New rule produced :
% [101] identity double_divide identity <-> inverse(A) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 1037
% Current number of rules: 97
% New rule produced :
% [102] inverse(A) double_divide A <-> identity double_divide identity
% Current number of equations to process: 4
% Current number of ordered equations: 1036
% Current number of rules: 98
% New rule produced : [103] A <-> inverse(inverse(identity) double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 1032
% Current number of rules: 99
% New rule produced : [104] inverse(inverse(identity) double_divide A) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 1028
% Current number of rules: 100
% New rule produced :
% [105] (eq)(inverse(inverse(A)),inverse(identity) multiply A) -> (false)
% Current number of equations to process: 4
% Current number of ordered equations: 1027
% Current number of rules: 101
% New rule produced :
% [106] (eq)(identity double_divide inverse(A),identity multiply A) -> (false)
% Current number of equations to process: 4
% Current number of ordered equations: 1026
% Current number of rules: 102
% New rule produced :
% [107] (eq)(inverse(identity double_divide A),identity multiply A) -> (false)
% Current number of equations to process: 4
% Current number of ordered equations: 1025
% Current number of rules: 103
% New rule produced : [108] A <-> inverse(identity) double_divide inverse(A)
% Current number of equations to process: 4
% Current number of ordered equations: 1024
% Current number of rules: 104
% New rule produced : [109] inverse(identity) double_divide inverse(A) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 1023
% Current number of rules: 105
% New rule produced : [110] inverse(A multiply B) <-> A double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 1019
% Current number of rules: 106
% New rule produced : [111] A double_divide B <-> inverse(A multiply B)
% Current number of equations to process: 4
% Current number of ordered equations: 1015
% Current number of rules: 107
% New rule produced :
% [112] (eq)(inverse(inverse(A)),inverse(identity double_divide A)) -> (false)
% Current number of equations to process: 4
% Current number of ordered equations: 1014
% Current number of rules: 108
% New rule produced :
% [113] inverse(A) multiply A <-> identity double_divide identity
% Current number of equations to process: 4
% Current number of ordered equations: 1013
% Current number of rules: 109
% New rule produced :
% [114] identity double_divide identity <-> inverse(A) multiply A
% Current number of equations to process: 4
% Current number of ordered equations: 1012
% Current number of rules: 110
% New rule produced :
% [115] inverse(A) <-> inverse(inverse(identity)) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 1011
% Current number of rules: 111
% New rule produced :
% [116] inverse(inverse(identity)) double_divide A <-> inverse(A)
% Current number of equations to process: 4
% Current number of ordered equations: 1010
% Current number of rules: 112
% New rule produced :
% [117] inverse(A) <-> identity multiply (identity double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 1009
% Current number of rules: 113
% New rule produced :
% [118] inverse(A) <-> (identity multiply identity) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 1008
% Current number of rules: 114
% New rule produced :
% [119] identity multiply (identity double_divide A) <-> inverse(A)
% Current number of equations to process: 4
% Current number of ordered equations: 1007
% Current number of rules: 115
% New rule produced :
% [120] (identity multiply identity) double_divide A <-> inverse(A)
% Current number of equations to process: 4
% Current number of ordered equations: 1006
% Current number of rules: 116
% New rule produced :
% [121] inverse(A) <-> (identity double_divide identity) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 1005
% Current number of rules: 117
% New rule produced :
% [122] (identity double_divide identity) double_divide A <-> inverse(A)
% Current number of equations to process: 4
% Current number of ordered equations: 1004
% Current number of rules: 118
% New rule produced :
% [123] inverse(identity double_divide A) <-> identity double_divide inverse(A)
% Current number of equations to process: 4
% Current number of ordered equations: 1002
% Current number of rules: 119
% New rule produced :
% [124] identity double_divide inverse(A) <-> inverse(identity double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 1000
% Current number of rules: 120
% New rule produced :
% [125]
% inverse(inverse(inverse(identity))) <->
% identity double_divide inverse(identity)
% Current number of equations to process: 4
% Current number of ordered equations: 999
% Current number of rules: 121
% New rule produced :
% [126]
% identity double_divide inverse(identity) <->
% inverse(inverse(inverse(identity)))
% Current number of equations to process: 4
% Current number of ordered equations: 998
% Current number of rules: 122
% New rule produced :
% [127] inverse(A) double_divide A <-> inverse(B) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 994
% Current number of rules: 123
% New rule produced :
% [128] inverse(identity double_divide identity) <-> inverse(A) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 993
% Current number of rules: 124
% New rule produced :
% [129] inverse(A) double_divide A <-> inverse(identity double_divide identity)
% Current number of equations to process: 4
% Current number of ordered equations: 992
% Current number of rules: 125
% New rule produced :
% [130] inverse(inverse(inverse(identity))) <-> inverse(A) double_divide A
% Rule
% [125]
% inverse(inverse(inverse(identity))) <->
% identity double_divide inverse(identity) collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 991
% Current number of rules: 125
% New rule produced :
% [131] inverse(A) double_divide A <-> inverse(inverse(inverse(identity)))
% Rule
% [126]
% identity double_divide inverse(identity) <->
% inverse(inverse(inverse(identity))) collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 990
% Current number of rules: 125
% New rule produced :
% [132]
% (eq)(inverse(A),identity multiply (identity double_divide A)) -> (false)
% Current number of equations to process: 4
% Current number of ordered equations: 989
% Current number of rules: 126
% New rule produced :
% [133]
% (eq)(inverse(identity),identity multiply inverse(inverse(identity))) ->
% (false)
% Current number of equations to process: 4
% Current number of ordered equations: 988
% Current number of rules: 127
% New rule produced :
% [134] inverse(identity) <-> (identity double_divide A) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 987
% Current number of rules: 128
% New rule produced :
% [135] (identity double_divide A) double_divide A <-> inverse(identity)
% Current number of equations to process: 4
% Current number of ordered equations: 986
% Current number of rules: 129
% New rule produced : [136] inverse(A) <-> (A double_divide B) multiply B
% Rule [117] inverse(A) <-> identity multiply (identity double_divide A)
% collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 985
% Current number of rules: 129
% New rule produced : [137] (A double_divide B) multiply B <-> inverse(A)
% Rule [119] identity multiply (identity double_divide A) <-> inverse(A)
% collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 984
% Current number of rules: 129
% New rule produced :
% [138] inverse(inverse(inverse(A))) <-> inverse(identity) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 982
% Current number of rules: 130
% New rule produced :
% [139] inverse(identity) double_divide A <-> inverse(inverse(inverse(A)))
% Current number of equations to process: 4
% Current number of ordered equations: 980
% Current number of rules: 131
% New rule produced :
% [140] inverse(A) multiply B <-> inverse(B) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 979
% Current number of rules: 132
% New rule produced :
% [141] inverse(B) double_divide A <-> inverse(A) multiply B
% Current number of equations to process: 4
% Current number of ordered equations: 978
% Current number of rules: 133
% New rule produced :
% [142] A <-> inverse(identity double_divide inverse(inverse(A)))
% Current number of equations to process: 4
% Current number of ordered equations: 976
% Current number of rules: 134
% New rule produced :
% [143] A <-> inverse(inverse(identity double_divide inverse(A)))
% Current number of equations to process: 4
% Current number of ordered equations: 974
% Current number of rules: 135
% New rule produced :
% [144] inverse(identity double_divide inverse(inverse(A))) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 972
% Current number of rules: 136
% New rule produced :
% [145] inverse(inverse(identity double_divide inverse(A))) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 970
% Current number of rules: 137
% New rule produced :
% [146] A <-> inverse(identity double_divide (identity multiply A))
% Current number of equations to process: 4
% Current number of ordered equations: 969
% Current number of rules: 138
% New rule produced :
% [147] A <-> inverse(identity double_divide identity) multiply A
% Current number of equations to process: 4
% Current number of ordered equations: 968
% Current number of rules: 139
% New rule produced :
% [148] inverse(identity double_divide (identity multiply A)) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 967
% Current number of rules: 140
% New rule produced :
% [149] inverse(identity double_divide identity) multiply A <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 966
% Current number of rules: 141
% New rule produced :
% [150]
% identity <->
% inverse(identity double_divide (identity double_divide identity))
% Current number of equations to process: 4
% Current number of ordered equations: 965
% Current number of rules: 142
% New rule produced :
% [151]
% identity <-> identity double_divide inverse(identity double_divide identity)
% Current number of equations to process: 4
% Current number of ordered equations: 963
% Current number of rules: 143
% New rule produced :
% [152]
% inverse(identity double_divide (identity double_divide identity)) <->
% identity
% Current number of equations to process: 4
% Current number of ordered equations: 962
% Current number of rules: 144
% New rule produced :
% [153]
% identity double_divide inverse(identity double_divide identity) <-> identity
% Current number of equations to process: 4
% Current number of ordered equations: 960
% Current number of rules: 145
% New rule produced :
% [154] inverse(identity double_divide inverse(A)) <-> identity double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 958
% Current number of rules: 146
% New rule produced :
% [155] identity double_divide A <-> inverse(identity double_divide inverse(A))
% Current number of equations to process: 4
% Current number of ordered equations: 956
% Current number of rules: 147
% New rule produced :
% [156] A <-> identity double_divide inverse(inverse(inverse(A)))
% Current number of equations to process: 4
% Current number of ordered equations: 953
% Current number of rules: 148
% New rule produced :
% [157] identity double_divide inverse(inverse(inverse(A))) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 950
% Current number of rules: 149
% New rule produced :
% [158] A <-> (identity double_divide inverse(identity)) multiply A
% Current number of equations to process: 4
% Current number of ordered equations: 949
% Current number of rules: 150
% New rule produced :
% [159] A <-> identity double_divide inverse(identity multiply A)
% Current number of equations to process: 4
% Current number of ordered equations: 948
% Current number of rules: 151
% New rule produced :
% [160] (identity double_divide inverse(identity)) multiply A <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 947
% Current number of rules: 152
% New rule produced :
% [161] identity double_divide inverse(identity multiply A) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 946
% Current number of rules: 153
% New rule produced :
% [162]
% identity <->
% identity double_divide (identity double_divide inverse(identity))
% Current number of equations to process: 4
% Current number of ordered equations: 945
% Current number of rules: 154
% New rule produced :
% [163]
% identity double_divide (identity double_divide inverse(identity)) <->
% identity
% Current number of equations to process: 4
% Current number of ordered equations: 944
% Current number of rules: 155
% New rule produced :
% [164] A <-> inverse(inverse(inverse(identity))) multiply A
% Current number of equations to process: 4
% Current number of ordered equations: 942
% Current number of rules: 156
% New rule produced :
% [165] inverse(inverse(inverse(identity))) multiply A <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 940
% Current number of rules: 157
% New rule produced : [166] B <-> (inverse(A) double_divide A) multiply B
% Rule [158] A <-> (identity double_divide inverse(identity)) multiply A
% collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 938
% Current number of rules: 157
% New rule produced : [167] (inverse(A) double_divide A) multiply B <-> B
% Rule [160] (identity double_divide inverse(identity)) multiply A <-> A
% collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 936
% Current number of rules: 157
% New rule produced :
% [168] identity <-> identity double_divide (inverse(A) double_divide A)
% Rule
% [162]
% identity <->
% identity double_divide (identity double_divide inverse(identity)) collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 935
% Current number of rules: 157
% New rule produced :
% [169] identity double_divide (inverse(A) double_divide A) <-> identity
% Rule
% [163]
% identity double_divide (identity double_divide inverse(identity)) <->
% identity collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 934
% Current number of rules: 157
% New rule produced :
% [170] A <-> inverse(inverse(inverse(identity double_divide A)))
% Current number of equations to process: 4
% Current number of ordered equations: 932
% Current number of rules: 158
% New rule produced :
% [171] A <-> inverse(inverse(inverse(identity)) double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 931
% Current number of rules: 159
% New rule produced :
% [172] inverse(inverse(inverse(identity double_divide A))) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 929
% Current number of rules: 160
% New rule produced :
% [173] inverse(inverse(inverse(identity)) double_divide A) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 928
% Current number of rules: 161
% New rule produced :
% [174] A <-> inverse(identity multiply (identity double_divide A))
% Current number of equations to process: 4
% Current number of ordered equations: 927
% Current number of rules: 162
% New rule produced :
% [175] A <-> inverse((identity multiply identity) double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 926
% Current number of rules: 163
% New rule produced :
% [176] A <-> identity multiply inverse(identity double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 925
% Current number of rules: 164
% New rule produced :
% [177] inverse(identity multiply (identity double_divide A)) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 924
% Current number of rules: 165
% New rule produced :
% [178] inverse((identity multiply identity) double_divide A) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 923
% Current number of rules: 166
% New rule produced :
% [179] identity multiply inverse(identity double_divide A) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 922
% Current number of rules: 167
% New rule produced :
% [180] A <-> inverse((identity double_divide identity) double_divide A)
% Rule
% [150]
% identity <->
% inverse(identity double_divide (identity double_divide identity)) collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 921
% Current number of rules: 167
% New rule produced :
% [181] inverse((identity double_divide identity) double_divide A) <-> A
% Rule
% [152]
% inverse(identity double_divide (identity double_divide identity)) <->
% identity collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 920
% Current number of rules: 167
% New rule produced :
% [182] identity <-> inverse(inverse(inverse(inverse(inverse(identity)))))
% Current number of equations to process: 4
% Current number of ordered equations: 919
% Current number of rules: 168
% New rule produced :
% [183] inverse(inverse(inverse(inverse(inverse(identity))))) <-> identity
% Current number of equations to process: 4
% Current number of ordered equations: 918
% Current number of rules: 169
% New rule produced :
% [184] identity <-> inverse(identity multiply inverse(inverse(identity)))
% Current number of equations to process: 4
% Current number of ordered equations: 917
% Current number of rules: 170
% New rule produced :
% [185] identity <-> inverse(inverse(inverse(identity multiply identity)))
% Current number of equations to process: 4
% Current number of ordered equations: 916
% Current number of rules: 171
% New rule produced :
% [186] identity <-> inverse(inverse(identity multiply inverse(identity)))
% Current number of equations to process: 4
% Current number of ordered equations: 915
% Current number of rules: 172
% New rule produced :
% [187] inverse(identity multiply inverse(inverse(identity))) <-> identity
% Current number of equations to process: 4
% Current number of ordered equations: 914
% Current number of rules: 173
% New rule produced :
% [188] inverse(inverse(inverse(identity multiply identity))) <-> identity
% Current number of equations to process: 4
% Current number of ordered equations: 913
% Current number of rules: 174
% New rule produced :
% [189] inverse(inverse(identity multiply inverse(identity))) <-> identity
% Current number of equations to process: 4
% Current number of ordered equations: 912
% Current number of rules: 175
% New rule produced :
% [190]
% (eq)(inverse(inverse(A)),inverse(inverse(identity multiply A))) -> (false)
% Current number of equations to process: 4
% Current number of ordered equations: 911
% Current number of rules: 176
% New rule produced :
% [191]
% (eq)(inverse(inverse(A)),inverse(inverse(identity)) multiply A) -> (false)
% Current number of equations to process: 4
% Current number of ordered equations: 910
% Current number of rules: 177
% New rule produced :
% [192]
% (eq)(inverse(inverse(inverse(inverse(A)))),identity multiply A) -> (false)
% Current number of equations to process: 4
% Current number of ordered equations: 909
% Current number of rules: 178
% New rule produced :
% [193]
% (eq)(inverse(identity multiply inverse(A)),identity multiply A) -> (false)
% Current number of equations to process: 4
% Current number of ordered equations: 908
% Current number of rules: 179
% New rule produced :
% [194]
% (eq)(inverse(inverse(A)),identity multiply (identity multiply A)) -> (false)
% Current number of equations to process: 4
% Current number of ordered equations: 907
% Current number of rules: 180
% New rule produced :
% [195]
% (eq)(inverse(inverse(A)),(identity multiply identity) multiply A) -> (false)
% Current number of equations to process: 4
% Current number of ordered equations: 906
% Current number of rules: 181
% New rule produced :
% [196]
% (eq)(identity multiply inverse(inverse(A)),identity multiply A) -> (false)
% Current number of equations to process: 4
% Current number of ordered equations: 905
% Current number of rules: 182
% New rule produced :
% [197]
% (eq)(inverse(inverse(A)),(identity double_divide identity) multiply A) ->
% (false)
% Current number of equations to process: 4
% Current number of ordered equations: 904
% Current number of rules: 183
% New rule produced :
% [198] A <-> inverse(inverse(identity)) double_divide inverse(A)
% Current number of equations to process: 4
% Current number of ordered equations: 903
% Current number of rules: 184
% New rule produced :
% [199] inverse(inverse(identity)) double_divide inverse(A) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 902
% Current number of rules: 185
% New rule produced :
% [200] A <-> identity multiply (identity double_divide inverse(A))
% Current number of equations to process: 4
% Current number of ordered equations: 901
% Current number of rules: 186
% New rule produced :
% [201] A <-> identity double_divide (identity multiply inverse(A))
% Current number of equations to process: 4
% Current number of ordered equations: 900
% Current number of rules: 187
% New rule produced :
% [202] A <-> inverse(A) double_divide (identity multiply identity)
% Current number of equations to process: 4
% Current number of ordered equations: 899
% Current number of rules: 188
% New rule produced :
% [203] identity multiply (identity double_divide inverse(A)) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 898
% Current number of rules: 189
% New rule produced :
% [204] identity double_divide (identity multiply inverse(A)) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 897
% Current number of rules: 190
% New rule produced :
% [205] inverse(A) double_divide (identity multiply identity) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 896
% Current number of rules: 191
% New rule produced :
% [206] A <-> inverse(A) double_divide (identity double_divide identity)
% Current number of equations to process: 4
% Current number of ordered equations: 895
% Current number of rules: 192
% New rule produced :
% [207] inverse(A) double_divide (identity double_divide identity) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 894
% Current number of rules: 193
% New rule produced :
% [208] identity <-> inverse(inverse(inverse(A) double_divide A))
% Current number of equations to process: 4
% Current number of ordered equations: 893
% Current number of rules: 194
% New rule produced :
% [209] identity <-> inverse(inverse(inverse(A))) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 892
% Current number of rules: 195
% New rule produced :
% [210] inverse(inverse(inverse(A) double_divide A)) <-> identity
% Current number of equations to process: 4
% Current number of ordered equations: 891
% Current number of rules: 196
% New rule produced :
% [211] inverse(inverse(inverse(A))) double_divide A <-> identity
% Current number of equations to process: 4
% Current number of ordered equations: 890
% Current number of rules: 197
% New rule produced :
% [212] identity <-> (identity multiply inverse(A)) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 889
% Current number of rules: 198
% New rule produced :
% [213] (identity multiply inverse(A)) double_divide A <-> identity
% Current number of equations to process: 4
% Current number of ordered equations: 888
% Current number of rules: 199
% New rule produced :
% [214] identity <-> inverse((identity double_divide A) double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 887
% Current number of rules: 200
% New rule produced :
% [215] identity <-> (inverse(identity) double_divide A) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 886
% Current number of rules: 201
% New rule produced :
% [216] inverse((identity double_divide A) double_divide A) <-> identity
% Current number of equations to process: 4
% Current number of ordered equations: 885
% Current number of rules: 202
% New rule produced :
% [217] (inverse(identity) double_divide A) double_divide A <-> identity
% Current number of equations to process: 4
% Current number of ordered equations: 884
% Current number of rules: 203
% New rule produced :
% [218] inverse(inverse(A)) <-> (A double_divide B) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 881
% Current number of rules: 204
% New rule produced :
% [219] (A double_divide B) double_divide B <-> inverse(inverse(A))
% Current number of equations to process: 4
% Current number of ordered equations: 878
% Current number of rules: 205
% New rule produced :
% [220] identity multiply A <-> (A double_divide B) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 877
% Current number of rules: 206
% New rule produced :
% [221] (A double_divide B) double_divide B <-> identity multiply A
% Current number of equations to process: 4
% Current number of ordered equations: 876
% Current number of rules: 207
% New rule produced :
% [222]
% identity double_divide identity <->
% (identity double_divide A) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 875
% Current number of rules: 208
% New rule produced :
% [223]
% (identity double_divide A) double_divide A <->
% identity double_divide identity
% Current number of equations to process: 4
% Current number of ordered equations: 874
% Current number of rules: 209
% New rule produced :
% [224] A double_divide B <-> identity double_divide (A multiply B)
% Current number of equations to process: 4
% Current number of ordered equations: 871
% Current number of rules: 210
% New rule produced :
% [225] identity double_divide (A multiply B) <-> A double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 868
% Current number of rules: 211
% New rule produced :
% [226]
% (eq)(inverse(inverse(A)),identity double_divide (identity double_divide A))
% -> (false)
% Current number of equations to process: 4
% Current number of ordered equations: 867
% Current number of rules: 212
% New rule produced :
% [227] identity double_divide A <-> (A double_divide B) multiply B
% Current number of equations to process: 4
% Current number of ordered equations: 866
% Current number of rules: 213
% New rule produced :
% [228] (A double_divide B) multiply B <-> identity double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 865
% Current number of rules: 214
% New rule produced :
% [229] inverse(A) <-> inverse(identity double_divide identity) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 864
% Current number of rules: 215
% New rule produced :
% [230] inverse(identity double_divide identity) double_divide A <-> inverse(A)
% Current number of equations to process: 4
% Current number of ordered equations: 863
% Current number of rules: 216
% New rule produced :
% [231] inverse(A) <-> identity double_divide inverse(identity double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 861
% Current number of rules: 217
% New rule produced :
% [232]
% inverse(A) <-> (identity double_divide inverse(identity)) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 860
% Current number of rules: 218
% New rule produced :
% [233] identity double_divide inverse(identity double_divide A) <-> inverse(A)
% Current number of equations to process: 4
% Current number of ordered equations: 858
% Current number of rules: 219
% New rule produced :
% [234]
% (identity double_divide inverse(identity)) double_divide A <-> inverse(A)
% Current number of equations to process: 4
% Current number of ordered equations: 857
% Current number of rules: 220
% New rule produced :
% [235] inverse(A) <-> inverse(inverse(inverse(identity))) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 856
% Current number of rules: 221
% New rule produced :
% [236] inverse(inverse(inverse(identity))) double_divide A <-> inverse(A)
% Current number of equations to process: 4
% Current number of ordered equations: 855
% Current number of rules: 222
% New rule produced :
% [237] inverse(B) <-> (inverse(A) double_divide A) double_divide B
% Rule
% [232]
% inverse(A) <-> (identity double_divide inverse(identity)) double_divide A
% collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 852
% Current number of rules: 222
% New rule produced :
% [238] (inverse(A) double_divide A) double_divide B <-> inverse(B)
% Rule
% [234]
% (identity double_divide inverse(identity)) double_divide A <-> inverse(A)
% collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 849
% Current number of rules: 222
% New rule produced :
% [239]
% inverse(identity double_divide A) <-> (A double_divide B) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 846
% Current number of rules: 223
% New rule produced :
% [240]
% (A double_divide B) double_divide B <-> inverse(identity double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 843
% Current number of rules: 224
% New rule produced :
% [241]
% identity double_divide inverse(A) <-> (A double_divide B) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 842
% Current number of rules: 225
% New rule produced :
% [242]
% (A double_divide B) double_divide B <-> identity double_divide inverse(A)
% Current number of equations to process: 4
% Current number of ordered equations: 841
% Current number of rules: 226
% New rule produced :
% [243]
% inverse(inverse(inverse(identity))) <->
% (identity double_divide A) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 840
% Current number of rules: 227
% New rule produced :
% [244]
% (identity double_divide A) double_divide A <->
% inverse(inverse(inverse(identity)))
% Current number of equations to process: 4
% Current number of ordered equations: 839
% Current number of rules: 228
% New rule produced :
% [245]
% inverse(A) double_divide A <-> (identity double_divide B) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 838
% Current number of rules: 229
% New rule produced :
% [246]
% (identity double_divide B) double_divide B <-> inverse(A) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 837
% Current number of rules: 230
% New rule produced :
% [247]
% (eq)(inverse(A multiply B),identity multiply (A double_divide B)) -> (false)
% Current number of equations to process: 4
% Current number of ordered equations: 836
% Current number of rules: 231
% New rule produced :
% [248] inverse(A double_divide B) <-> identity multiply (A multiply B)
% Current number of equations to process: 4
% Current number of ordered equations: 835
% Current number of rules: 232
% New rule produced :
% [249] identity multiply (A multiply B) <-> inverse(A double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 834
% Current number of rules: 233
% New rule produced :
% [250] inverse(A multiply B) <-> identity multiply (A double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 833
% Current number of rules: 234
% New rule produced :
% [251] identity multiply (A double_divide B) <-> inverse(A multiply B)
% Current number of equations to process: 4
% Current number of ordered equations: 832
% Current number of rules: 235
% New rule produced :
% [252] inverse(A double_divide B) <-> inverse(A) double_divide inverse(B)
% Current number of equations to process: 4
% Current number of ordered equations: 831
% Current number of rules: 236
% New rule produced :
% [253] inverse(A) double_divide inverse(B) <-> inverse(A double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 830
% Current number of rules: 237
% New rule produced :
% [254] inverse(identity) <-> inverse(inverse(inverse(A))) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 828
% Current number of rules: 238
% New rule produced :
% [255] inverse(inverse(inverse(A))) double_divide A <-> inverse(identity)
% Current number of equations to process: 4
% Current number of ordered equations: 826
% Current number of rules: 239
% New rule produced :
% [256] inverse(B) <-> (inverse(A) multiply B) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 825
% Current number of rules: 240
% New rule produced :
% [257] (inverse(A) multiply B) double_divide A <-> inverse(B)
% Current number of equations to process: 4
% Current number of ordered equations: 824
% Current number of rules: 241
% New rule produced :
% [258]
% A <-> inverse(inverse(identity double_divide (identity double_divide A)))
% Current number of equations to process: 4
% Current number of ordered equations: 823
% Current number of rules: 242
% New rule produced :
% [259] A <-> inverse(inverse(identity double_divide identity) double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 822
% Current number of rules: 243
% New rule produced :
% [260]
% inverse(inverse(identity double_divide (identity double_divide A))) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 821
% Current number of rules: 244
% New rule produced :
% [261] inverse(inverse(identity double_divide identity) double_divide A) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 820
% Current number of rules: 245
% New rule produced :
% [262] A <-> inverse(identity double_divide inverse(identity double_divide A))
% Current number of equations to process: 4
% Current number of ordered equations: 819
% Current number of rules: 246
% New rule produced :
% [263]
% A <-> inverse((identity double_divide inverse(identity)) double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 818
% Current number of rules: 247
% New rule produced :
% [264] A <-> identity double_divide inverse(inverse(identity double_divide A))
% Current number of equations to process: 4
% Current number of ordered equations: 817
% Current number of rules: 248
% New rule produced :
% [265] inverse(identity double_divide inverse(identity double_divide A)) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 816
% Current number of rules: 249
% New rule produced :
% [266]
% inverse((identity double_divide inverse(identity)) double_divide A) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 815
% Current number of rules: 250
% New rule produced :
% [267] identity double_divide inverse(inverse(identity double_divide A)) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 814
% Current number of rules: 251
% New rule produced :
% [268] A <-> inverse(inverse(inverse(inverse(identity))) double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 812
% Current number of rules: 252
% New rule produced :
% [269] inverse(inverse(inverse(inverse(identity))) double_divide A) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 810
% Current number of rules: 253
% New rule produced :
% [270] B <-> inverse((inverse(A) double_divide A) double_divide B)
% Rule
% [263]
% A <-> inverse((identity double_divide inverse(identity)) double_divide A)
% collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 806
% Current number of rules: 253
% New rule produced :
% [271] inverse((inverse(A) double_divide A) double_divide B) <-> B
% Rule
% [266]
% inverse((identity double_divide inverse(identity)) double_divide A) <-> A
% collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 802
% Current number of rules: 253
% New rule produced :
% [272]
% identity <->
% inverse(inverse(inverse(inverse(identity double_divide identity))))
% Current number of equations to process: 4
% Current number of ordered equations: 801
% Current number of rules: 254
% New rule produced :
% [273]
% inverse(inverse(inverse(inverse(identity double_divide identity)))) <->
% identity
% Current number of equations to process: 4
% Current number of ordered equations: 800
% Current number of rules: 255
% New rule produced :
% [274]
% identity <->
% inverse(inverse(identity double_divide inverse(inverse(identity))))
% Current number of equations to process: 4
% Current number of ordered equations: 799
% Current number of rules: 256
% New rule produced :
% [275]
% identity <->
% inverse(inverse(inverse(identity double_divide inverse(identity))))
% Current number of equations to process: 4
% Current number of ordered equations: 798
% Current number of rules: 257
% New rule produced :
% [276]
% identity <->
% identity double_divide inverse(inverse(inverse(inverse(identity))))
% Current number of equations to process: 4
% Current number of ordered equations: 797
% Current number of rules: 258
% New rule produced :
% [277]
% inverse(inverse(identity double_divide inverse(inverse(identity)))) <->
% identity
% Current number of equations to process: 4
% Current number of ordered equations: 796
% Current number of rules: 259
% New rule produced :
% [278]
% inverse(inverse(inverse(identity double_divide inverse(identity)))) <->
% identity
% Current number of equations to process: 4
% Current number of ordered equations: 795
% Current number of rules: 260
% New rule produced :
% [279]
% identity double_divide inverse(inverse(inverse(inverse(identity)))) <->
% identity
% Current number of equations to process: 4
% Current number of ordered equations: 794
% Current number of rules: 261
% New rule produced :
% [280]
% identity <-> inverse(inverse(inverse(inverse(inverse(inverse(identity))))))
% Current number of equations to process: 4
% Current number of ordered equations: 793
% Current number of rules: 262
% New rule produced :
% [281]
% inverse(inverse(inverse(inverse(inverse(inverse(identity)))))) <-> identity
% Current number of equations to process: 4
% Current number of ordered equations: 792
% Current number of rules: 263
% New rule produced :
% [282] identity <-> inverse(inverse(inverse(inverse(A) double_divide A)))
% Rule
% [275]
% identity <->
% inverse(inverse(inverse(identity double_divide inverse(identity))))
% collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 791
% Current number of rules: 263
% New rule produced :
% [283] inverse(inverse(inverse(inverse(A) double_divide A))) <-> identity
% Rule
% [278]
% inverse(inverse(inverse(identity double_divide inverse(identity)))) <->
% identity collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 790
% Current number of rules: 263
% New rule produced :
% [284]
% (eq)(inverse(inverse(A)),inverse(identity double_divide (identity multiply A)))
% -> (false)
% Current number of equations to process: 4
% Current number of ordered equations: 789
% Current number of rules: 264
% New rule produced :
% [285]
% (eq)(inverse(inverse(A)),inverse(identity double_divide identity) multiply A)
% -> (false)
% Current number of equations to process: 4
% Current number of ordered equations: 788
% Current number of rules: 265
% New rule produced :
% [286]
% (eq)(inverse(inverse(identity double_divide inverse(A))),identity multiply A)
% -> (false)
% Current number of equations to process: 4
% Current number of ordered equations: 787
% Current number of rules: 266
% New rule produced :
% [287]
% (eq)(inverse(inverse(A)),identity double_divide inverse(identity multiply A))
% -> (false)
% Current number of equations to process: 4
% Current number of ordered equations: 786
% Current number of rules: 267
% New rule produced :
% [288]
% (eq)(inverse(inverse(A)),(identity double_divide inverse(identity)) multiply A)
% -> (false)
% Current number of equations to process: 4
% Current number of ordered equations: 785
% Current number of rules: 268
% New rule produced :
% [289]
% (eq)(inverse(identity double_divide inverse(inverse(A))),identity multiply A)
% -> (false)
% Current number of equations to process: 4
% Current number of ordered equations: 784
% Current number of rules: 269
% New rule produced :
% [290]
% (eq)(identity double_divide inverse(inverse(inverse(A))),identity multiply A)
% -> (false)
% Current number of equations to process: 4
% Current number of ordered equations: 783
% Current number of rules: 270
% New rule produced :
% [291]
% (eq)(inverse(inverse(A)),inverse(inverse(inverse(identity))) multiply A) ->
% (false)
% Current number of equations to process: 4
% Current number of ordered equations: 782
% Current number of rules: 271
% New rule produced :
% [292]
% (eq)(inverse(inverse(A)),(inverse(B) double_divide B) multiply A) -> (false)
% Rule
% [288]
% (eq)(inverse(inverse(A)),(identity double_divide inverse(identity)) multiply A)
% -> (false) collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 781
% Current number of rules: 271
% New rule produced :
% [293]
% A <-> inverse(identity double_divide (identity double_divide inverse(A)))
% Current number of equations to process: 4
% Current number of ordered equations: 780
% Current number of rules: 272
% New rule produced :
% [294] A <-> inverse(identity double_divide identity) double_divide inverse(A)
% Current number of equations to process: 4
% Current number of ordered equations: 779
% Current number of rules: 273
% New rule produced :
% [295]
% inverse(identity double_divide (identity double_divide inverse(A))) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 778
% Current number of rules: 274
% New rule produced :
% [296] inverse(identity double_divide identity) double_divide inverse(A) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 777
% Current number of rules: 275
% New rule produced :
% [297]
% A <-> identity double_divide (identity double_divide inverse(inverse(A)))
% Current number of equations to process: 4
% Current number of ordered equations: 776
% Current number of rules: 276
% New rule produced :
% [298] A <-> identity double_divide inverse(identity double_divide inverse(A))
% Current number of equations to process: 4
% Current number of ordered equations: 775
% Current number of rules: 277
% New rule produced :
% [299]
% A <-> inverse(A) double_divide (identity double_divide inverse(identity))
% Current number of equations to process: 4
% Current number of ordered equations: 774
% Current number of rules: 278
% New rule produced :
% [300]
% identity double_divide (identity double_divide inverse(inverse(A))) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 773
% Current number of rules: 279
% New rule produced :
% [301] identity double_divide inverse(identity double_divide inverse(A)) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 772
% Current number of rules: 280
% New rule produced :
% [302]
% inverse(A) double_divide (identity double_divide inverse(identity)) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 771
% Current number of rules: 281
% New rule produced :
% [303] A <-> inverse(inverse(inverse(identity))) double_divide inverse(A)
% Current number of equations to process: 4
% Current number of ordered equations: 770
% Current number of rules: 282
% New rule produced :
% [304] inverse(inverse(inverse(identity))) double_divide inverse(A) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 769
% Current number of rules: 283
% New rule produced :
% [305] A <-> inverse(A) double_divide (inverse(B) double_divide B)
% Rule
% [299]
% A <-> inverse(A) double_divide (identity double_divide inverse(identity))
% collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 768
% Current number of rules: 283
% New rule produced :
% [306] inverse(A) double_divide (inverse(B) double_divide B) <-> A
% Rule
% [302]
% inverse(A) double_divide (identity double_divide inverse(identity)) <-> A
% collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 767
% Current number of rules: 283
% New rule produced :
% [307] identity <-> inverse(identity double_divide inverse(A)) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 765
% Current number of rules: 284
% New rule produced :
% [308] inverse(identity double_divide inverse(A)) double_divide A <-> identity
% Current number of equations to process: 4
% Current number of ordered equations: 763
% Current number of rules: 285
% New rule produced :
% [309] identity <-> identity double_divide inverse(inverse(A) double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 762
% Current number of rules: 286
% New rule produced :
% [310]
% identity <-> (identity double_divide inverse(inverse(A))) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 761
% Current number of rules: 287
% New rule produced :
% [311] identity double_divide inverse(inverse(A) double_divide A) <-> identity
% Current number of equations to process: 4
% Current number of ordered equations: 760
% Current number of rules: 288
% New rule produced :
% [312]
% (identity double_divide inverse(inverse(A))) double_divide A <-> identity
% Current number of equations to process: 4
% Current number of ordered equations: 759
% Current number of rules: 289
% New rule produced :
% [313]
% (A double_divide C) double_divide C <-> (A double_divide B) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 757
% Current number of rules: 290
% New rule produced :
% [314] A <-> inverse((inverse(A) double_divide B) double_divide B)
% Rule
% [293]
% A <-> inverse(identity double_divide (identity double_divide inverse(A)))
% collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 755
% Current number of rules: 290
% New rule produced :
% [315] A <-> (inverse(inverse(A)) double_divide B) double_divide B
% Rule
% [297]
% A <-> identity double_divide (identity double_divide inverse(inverse(A)))
% collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 754
% Current number of rules: 290
% New rule produced :
% [316] inverse((inverse(A) double_divide B) double_divide B) <-> A
% Rule
% [295]
% inverse(identity double_divide (identity double_divide inverse(A))) <-> A
% collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 752
% Current number of rules: 290
% New rule produced :
% [317] (inverse(inverse(A)) double_divide B) double_divide B <-> A
% Rule
% [300]
% identity double_divide (identity double_divide inverse(inverse(A))) <-> A
% collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 751
% Current number of rules: 290
% New rule produced :
% [318] A <-> ((identity multiply A) double_divide B) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 750
% Current number of rules: 291
% New rule produced :
% [319] B <-> ((identity double_divide A) double_divide A) multiply B
% Current number of equations to process: 4
% Current number of ordered equations: 749
% Current number of rules: 292
% New rule produced :
% [320] ((identity double_divide A) double_divide A) multiply B <-> B
% Current number of equations to process: 4
% Current number of ordered equations: 748
% Current number of rules: 293
% New rule produced :
% [321] ((identity multiply A) double_divide B) double_divide B <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 747
% Current number of rules: 294
% New rule produced :
% [322]
% identity <->
% identity double_divide ((identity double_divide A) double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 746
% Current number of rules: 295
% New rule produced :
% [323]
% identity <->
% ((identity double_divide identity) double_divide A) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 745
% Current number of rules: 296
% New rule produced :
% [324]
% identity double_divide ((identity double_divide A) double_divide A) <->
% identity
% Current number of equations to process: 4
% Current number of ordered equations: 744
% Current number of rules: 297
% New rule produced :
% [325]
% ((identity double_divide identity) double_divide A) double_divide A <->
% identity
% Current number of equations to process: 4
% Current number of ordered equations: 743
% Current number of rules: 298
% New rule produced :
% [326]
% identity double_divide A <-> (inverse(A) double_divide B) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 742
% Current number of rules: 299
% New rule produced :
% [327]
% (inverse(A) double_divide B) double_divide B <-> identity double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 741
% Current number of rules: 300
% New rule produced :
% [328] inverse(inverse(inverse(A double_divide B))) <-> A multiply B
% Current number of equations to process: 4
% Current number of ordered equations: 740
% Current number of rules: 301
% New rule produced :
% [329] A multiply B <-> inverse(inverse(inverse(A double_divide B)))
% Current number of equations to process: 4
% Current number of ordered equations: 739
% Current number of rules: 302
% New rule produced :
% [330] inverse(identity multiply (A double_divide B)) <-> A multiply B
% Current number of equations to process: 4
% Current number of ordered equations: 738
% Current number of rules: 303
% New rule produced :
% [331] A multiply B <-> inverse(identity multiply (A double_divide B))
% Current number of equations to process: 4
% Current number of ordered equations: 737
% Current number of rules: 304
% New rule produced :
% [332] A multiply B <-> identity multiply inverse(A double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 736
% Current number of rules: 305
% New rule produced :
% [333] identity multiply inverse(A double_divide B) <-> A multiply B
% Current number of equations to process: 4
% Current number of ordered equations: 735
% Current number of rules: 306
% New rule produced :
% [334] identity <-> (A multiply B) double_divide (A double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 733
% Current number of rules: 307
% New rule produced :
% [335] (A multiply B) double_divide (A double_divide B) <-> identity
% Current number of equations to process: 4
% Current number of ordered equations: 731
% Current number of rules: 308
% New rule produced :
% [336] A <-> inverse(inverse((A double_divide B) double_divide B))
% Rule
% [258]
% A <-> inverse(inverse(identity double_divide (identity double_divide A)))
% collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 730
% Current number of rules: 308
% New rule produced :
% [337] A <-> inverse(inverse(A double_divide B)) double_divide B
% Rule
% [264] A <-> identity double_divide inverse(inverse(identity double_divide A))
% collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 728
% Current number of rules: 308
% New rule produced :
% [338] inverse(inverse((A double_divide B) double_divide B)) <-> A
% Rule
% [260]
% inverse(inverse(identity double_divide (identity double_divide A))) <-> A
% collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 727
% Current number of rules: 308
% New rule produced :
% [339] inverse(inverse(A double_divide B)) double_divide B <-> A
% Rule
% [267] identity double_divide inverse(inverse(identity double_divide A)) <-> A
% collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 725
% Current number of rules: 308
% New rule produced :
% [340] A <-> identity multiply ((A double_divide B) double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 724
% Current number of rules: 309
% New rule produced :
% [341] A <-> (identity multiply (A double_divide B)) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 723
% Current number of rules: 310
% New rule produced :
% [342] identity multiply ((A double_divide B) double_divide B) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 722
% Current number of rules: 311
% New rule produced :
% [343] (identity multiply (A double_divide B)) double_divide B <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 721
% Current number of rules: 312
% New rule produced :
% [344]
% inverse(inverse(A multiply B)) <-> identity double_divide (A double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 720
% Current number of rules: 313
% New rule produced :
% [345]
% identity double_divide (A double_divide B) <-> inverse(inverse(A multiply B))
% Current number of equations to process: 4
% Current number of ordered equations: 719
% Current number of rules: 314
% New rule produced :
% [346]
% identity multiply (A multiply B) <->
% identity double_divide (A double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 718
% Current number of rules: 315
% New rule produced :
% [347]
% identity double_divide (A double_divide B) <->
% identity multiply (A multiply B)
% Current number of equations to process: 4
% Current number of ordered equations: 717
% Current number of rules: 316
% New rule produced :
% [348]
% identity multiply (A double_divide B) <->
% identity double_divide (A multiply B)
% Current number of equations to process: 4
% Current number of ordered equations: 716
% Current number of rules: 317
% New rule produced :
% [349]
% identity double_divide (A multiply B) <->
% identity multiply (A double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 715
% Current number of rules: 318
% New rule produced :
% [350] A multiply B <-> inverse(identity) double_divide (A double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 714
% Current number of rules: 319
% New rule produced :
% [351] inverse(identity) double_divide (A double_divide B) <-> A multiply B
% Current number of equations to process: 4
% Current number of ordered equations: 713
% Current number of rules: 320
% New rule produced :
% [352]
% inverse(inverse(A)) double_divide B <-> inverse(inverse(B)) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 709
% Current number of rules: 321
% New rule produced :
% [353] inverse(inverse(A) double_divide inverse(B)) <-> A double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 708
% Current number of rules: 322
% New rule produced :
% [354] A double_divide B <-> inverse(inverse(A) double_divide inverse(B))
% Current number of equations to process: 4
% Current number of ordered equations: 707
% Current number of rules: 323
% New rule produced :
% [355]
% inverse(inverse(B) double_divide A) <->
% (identity double_divide A) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 706
% Current number of rules: 324
% New rule produced :
% [356]
% (identity double_divide A) double_divide B <->
% inverse(inverse(B) double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 705
% Current number of rules: 325
% New rule produced :
% [357] identity <-> inverse(inverse(inverse(inverse(A))) double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 704
% Current number of rules: 326
% New rule produced :
% [358] inverse(inverse(inverse(inverse(A))) double_divide A) <-> identity
% Current number of equations to process: 4
% Current number of ordered equations: 703
% Current number of rules: 327
% New rule produced :
% [359]
% inverse((A double_divide B) double_divide B) <-> identity double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 701
% Current number of rules: 328
% New rule produced :
% [360]
% identity double_divide A <-> inverse((A double_divide B) double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 699
% Current number of rules: 329
% New rule produced :
% [361]
% inverse(inverse(A) multiply B) <-> (identity double_divide A) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 698
% Current number of rules: 330
% New rule produced :
% [362]
% (identity double_divide A) double_divide B <-> inverse(inverse(A) multiply B)
% Current number of equations to process: 4
% Current number of ordered equations: 697
% Current number of rules: 331
% New rule produced :
% [363]
% inverse(B) <-> ((identity double_divide A) double_divide A) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 696
% Current number of rules: 332
% New rule produced :
% [364]
% inverse(A) <-> ((identity double_divide A) double_divide B) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 695
% Current number of rules: 333
% New rule produced :
% [365]
% ((identity double_divide A) double_divide B) double_divide B <-> inverse(A)
% Current number of equations to process: 4
% Current number of ordered equations: 694
% Current number of rules: 334
% New rule produced :
% [366]
% ((identity double_divide A) double_divide A) double_divide B <-> inverse(B)
% Current number of equations to process: 4
% Current number of ordered equations: 693
% Current number of rules: 335
% New rule produced :
% [367]
% inverse(A double_divide B) <-> identity double_divide inverse(A multiply B)
% Current number of equations to process: 4
% Current number of ordered equations: 692
% Current number of rules: 336
% New rule produced :
% [368]
% identity double_divide inverse(A multiply B) <-> inverse(A double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 691
% Current number of rules: 337
% New rule produced :
% [369]
% inverse((identity double_divide A) double_divide B) <->
% inverse(B) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 690
% Current number of rules: 338
% New rule produced :
% [370]
% identity double_divide (inverse(A) double_divide B) <->
% inverse(B) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 687
% Current number of rules: 339
% New rule produced :
% [371]
% inverse(B) double_divide A <->
% inverse((identity double_divide A) double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 686
% Current number of rules: 340
% New rule produced :
% [372]
% inverse(B) double_divide A <->
% identity double_divide (inverse(A) double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 683
% Current number of rules: 341
% New rule produced :
% [373]
% inverse(A double_divide B) <->
% inverse(B) double_divide (identity double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 682
% Current number of rules: 342
% New rule produced :
% [374]
% inverse(B) double_divide (identity double_divide A) <->
% inverse(A double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 681
% Current number of rules: 343
% New rule produced :
% [375]
% inverse(identity double_divide A) <->
% inverse(inverse(identity)) double_divide inverse(A)
% Current number of equations to process: 4
% Current number of ordered equations: 680
% Current number of rules: 344
% New rule produced :
% [376]
% inverse(inverse(identity)) double_divide inverse(A) <->
% inverse(identity double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 679
% Current number of rules: 345
% New rule produced :
% [377] inverse(inverse(inverse(A) double_divide B)) <-> inverse(B) multiply A
% Current number of equations to process: 4
% Current number of ordered equations: 678
% Current number of rules: 346
% New rule produced :
% [378] inverse(B) multiply A <-> inverse(inverse(inverse(A) double_divide B))
% Current number of equations to process: 4
% Current number of ordered equations: 677
% Current number of rules: 347
% New rule produced :
% [379] inverse(B) <-> inverse(A double_divide B) double_divide inverse(A)
% Current number of equations to process: 4
% Current number of ordered equations: 676
% Current number of rules: 348
% New rule produced :
% [380] inverse(A double_divide B) double_divide inverse(A) <-> inverse(B)
% Current number of equations to process: 4
% Current number of ordered equations: 675
% Current number of rules: 349
% New rule produced :
% [381]
% inverse(identity double_divide A) <->
% identity double_divide (inverse(identity) double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 674
% Current number of rules: 350
% New rule produced :
% [382]
% identity double_divide (inverse(identity) double_divide A) <->
% inverse(identity double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 673
% Current number of rules: 351
% New rule produced :
% [383]
% inverse(A multiply B) <-> (identity double_divide inverse(A)) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 672
% Current number of rules: 352
% New rule produced :
% [384]
% inverse(A multiply B) <-> (identity double_divide inverse(B)) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 671
% Current number of rules: 353
% New rule produced :
% [385]
% (identity double_divide inverse(A)) double_divide B <-> inverse(A multiply B)
% Current number of equations to process: 4
% Current number of ordered equations: 670
% Current number of rules: 354
% New rule produced :
% [386]
% (identity double_divide inverse(B)) double_divide A <-> inverse(A multiply B)
% Current number of equations to process: 4
% Current number of ordered equations: 669
% Current number of rules: 355
% New rule produced :
% [387]
% inverse((identity double_divide A) double_divide B) <-> inverse(A) multiply B
% Current number of equations to process: 4
% Current number of ordered equations: 668
% Current number of rules: 356
% New rule produced :
% [388]
% inverse(A) multiply B <-> inverse((identity double_divide A) double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 667
% Current number of rules: 357
% New rule produced :
% [389]
% A <-> inverse(((identity double_divide A) double_divide B) double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 666
% Current number of rules: 358
% New rule produced :
% [390]
% A <-> (inverse(identity double_divide A) double_divide B) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 665
% Current number of rules: 359
% New rule produced :
% [391]
% B <-> inverse(((identity double_divide A) double_divide A) double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 664
% Current number of rules: 360
% New rule produced :
% [392]
% inverse(((identity double_divide A) double_divide B) double_divide B) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 663
% Current number of rules: 361
% New rule produced :
% [393]
% inverse(((identity double_divide A) double_divide A) double_divide B) <-> B
% Current number of equations to process: 4
% Current number of ordered equations: 662
% Current number of rules: 362
% New rule produced :
% [394]
% (inverse(identity double_divide A) double_divide B) double_divide B <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 661
% Current number of rules: 363
% New rule produced :
% [395]
% identity <->
% inverse(inverse(inverse((identity double_divide A) double_divide A)))
% Current number of equations to process: 4
% Current number of ordered equations: 660
% Current number of rules: 364
% New rule produced :
% [396]
% identity <->
% inverse(inverse((inverse(identity) double_divide A) double_divide A))
% Current number of equations to process: 4
% Current number of ordered equations: 659
% Current number of rules: 365
% New rule produced :
% [397]
% identity <->
% inverse((inverse(inverse(identity)) double_divide A) double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 658
% Current number of rules: 366
% New rule produced :
% [398]
% identity <->
% (inverse(inverse(inverse(identity))) double_divide A) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 657
% Current number of rules: 367
% New rule produced :
% [399]
% inverse(inverse(inverse((identity double_divide A) double_divide A))) <->
% identity
% Current number of equations to process: 4
% Current number of ordered equations: 656
% Current number of rules: 368
% New rule produced :
% [400]
% inverse(inverse((inverse(identity) double_divide A) double_divide A)) <->
% identity
% Current number of equations to process: 4
% Current number of ordered equations: 655
% Current number of rules: 369
% New rule produced :
% [401]
% inverse((inverse(inverse(identity)) double_divide A) double_divide A) <->
% identity
% Current number of equations to process: 4
% Current number of ordered equations: 654
% Current number of rules: 370
% New rule produced :
% [402]
% (inverse(inverse(inverse(identity))) double_divide A) double_divide A <->
% identity
% Current number of equations to process: 4
% Current number of ordered equations: 653
% Current number of rules: 371
% New rule produced :
% [403]
% (eq)(inverse(inverse(A)),((identity multiply A) double_divide B) double_divide B)
% -> (false)
% Current number of equations to process: 4
% Current number of ordered equations: 652
% Current number of rules: 372
% New rule produced :
% [404]
% (eq)(inverse(inverse(A)),((identity double_divide B) double_divide B) multiply A)
% -> (false)
% Current number of equations to process: 4
% Current number of ordered equations: 651
% Current number of rules: 373
% New rule produced :
% [405]
% (eq)((inverse(inverse(A)) double_divide B) double_divide B,identity multiply A)
% -> (false)
% Current number of equations to process: 4
% Current number of ordered equations: 650
% Current number of rules: 374
% New rule produced :
% [406]
% (eq)(inverse((inverse(A) double_divide B) double_divide B),identity multiply A)
% -> (false)
% Current number of equations to process: 4
% Current number of ordered equations: 649
% Current number of rules: 375
% New rule produced :
% [407]
% A <-> identity double_divide ((inverse(A) double_divide B) double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 648
% Current number of rules: 376
% New rule produced :
% [408]
% A <-> inverse(A) double_divide ((identity double_divide B) double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 647
% Current number of rules: 377
% New rule produced :
% [409]
% A <-> ((identity double_divide inverse(A)) double_divide B) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 646
% Current number of rules: 378
% New rule produced :
% [410]
% identity double_divide ((inverse(A) double_divide B) double_divide B) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 645
% Current number of rules: 379
% New rule produced :
% [411]
% inverse(A) double_divide ((identity double_divide B) double_divide B) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 644
% Current number of rules: 380
% New rule produced :
% [412]
% ((identity double_divide inverse(A)) double_divide B) double_divide B <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 643
% Current number of rules: 381
% New rule produced :
% [413]
% identity <-> ((inverse(A) double_divide A) double_divide B) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 642
% Current number of rules: 382
% New rule produced :
% [414]
% identity <-> ((inverse(A) double_divide B) double_divide B) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 641
% Current number of rules: 383
% New rule produced :
% [415]
% ((inverse(A) double_divide A) double_divide B) double_divide B <-> identity
% Current number of equations to process: 4
% Current number of ordered equations: 640
% Current number of rules: 384
% New rule produced :
% [416]
% ((inverse(A) double_divide B) double_divide B) double_divide A <-> identity
% Current number of equations to process: 4
% Current number of ordered equations: 639
% Current number of rules: 385
% New rule produced :
% [417]
% inverse(inverse(identity double_divide (A double_divide B))) <-> A multiply B
% Current number of equations to process: 4
% Current number of ordered equations: 637
% Current number of rules: 386
% New rule produced :
% [418]
% A multiply B <-> inverse(inverse(identity double_divide (A double_divide B)))
% Current number of equations to process: 4
% Current number of ordered equations: 635
% Current number of rules: 387
% New rule produced :
% [419]
% inverse(identity double_divide inverse(A double_divide B)) <-> A multiply B
% Current number of equations to process: 4
% Current number of ordered equations: 634
% Current number of rules: 388
% New rule produced :
% [420]
% A multiply B <-> inverse(identity double_divide inverse(A double_divide B))
% Current number of equations to process: 4
% Current number of ordered equations: 633
% Current number of rules: 389
% New rule produced :
% [421]
% A multiply B <-> identity double_divide inverse(inverse(A double_divide B))
% Current number of equations to process: 4
% Current number of ordered equations: 631
% Current number of rules: 390
% New rule produced :
% [422]
% identity double_divide inverse(inverse(A double_divide B)) <-> A multiply B
% Current number of equations to process: 4
% Current number of ordered equations: 629
% Current number of rules: 391
% New rule produced :
% [423]
% A <-> inverse(identity double_divide ((A double_divide B) double_divide B))
% Current number of equations to process: 4
% Current number of ordered equations: 628
% Current number of rules: 392
% New rule produced :
% [424]
% A <-> inverse(identity double_divide (A double_divide B)) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 627
% Current number of rules: 393
% New rule produced :
% [425]
% inverse(identity double_divide ((A double_divide B) double_divide B)) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 626
% Current number of rules: 394
% New rule produced :
% [426]
% inverse(identity double_divide (A double_divide B)) double_divide B <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 625
% Current number of rules: 395
% New rule produced :
% [427]
% A <-> identity double_divide inverse((A double_divide B) double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 624
% Current number of rules: 396
% New rule produced :
% [428]
% A <-> (identity double_divide inverse(A double_divide B)) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 623
% Current number of rules: 397
% New rule produced :
% [429]
% identity double_divide inverse((A double_divide B) double_divide B) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 622
% Current number of rules: 398
% New rule produced :
% [430]
% (identity double_divide inverse(A double_divide B)) double_divide B <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 621
% Current number of rules: 399
% New rule produced :
% [431]
% inverse(identity double_divide (A multiply B)) <->
% identity double_divide (A double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 620
% Current number of rules: 400
% New rule produced :
% [432]
% identity double_divide (A double_divide B) <->
% inverse(identity double_divide (A multiply B))
% Current number of equations to process: 4
% Current number of ordered equations: 619
% Current number of rules: 401
% New rule produced :
% [433]
% A multiply B <-> inverse(inverse(identity)) double_divide (A double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 618
% Current number of rules: 402
% New rule produced :
% [434]
% inverse(inverse(identity)) double_divide (A double_divide B) <-> A multiply B
% Current number of equations to process: 4
% Current number of ordered equations: 617
% Current number of rules: 403
% New rule produced :
% [435]
% A multiply B <->
% identity multiply (identity double_divide (A double_divide B))
% Current number of equations to process: 4
% Current number of ordered equations: 616
% Current number of rules: 404
% New rule produced :
% [436]
% A multiply B <->
% identity double_divide (identity multiply (A double_divide B))
% Current number of equations to process: 4
% Current number of ordered equations: 615
% Current number of rules: 405
% New rule produced :
% [437]
% A multiply B <->
% (identity multiply identity) double_divide (A double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 614
% Current number of rules: 406
% New rule produced :
% [438]
% identity multiply (identity double_divide (A double_divide B)) <->
% A multiply B
% Current number of equations to process: 4
% Current number of ordered equations: 613
% Current number of rules: 407
% New rule produced :
% [439]
% identity double_divide (identity multiply (A double_divide B)) <->
% A multiply B
% Current number of equations to process: 4
% Current number of ordered equations: 612
% Current number of rules: 408
% New rule produced :
% [440]
% (identity multiply identity) double_divide (A double_divide B) <->
% A multiply B
% Current number of equations to process: 4
% Current number of ordered equations: 611
% Current number of rules: 409
% New rule produced :
% [441]
% A multiply B <->
% (identity double_divide identity) double_divide (A double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 610
% Current number of rules: 410
% New rule produced :
% [442]
% (identity double_divide identity) double_divide (A double_divide B) <->
% A multiply B
% Current number of equations to process: 4
% Current number of ordered equations: 609
% Current number of rules: 411
% New rule produced :
% [443]
% (eq)(inverse(inverse(A) double_divide B),identity multiply (inverse(B) double_divide A))
% -> (false)
% Current number of equations to process: 4
% Current number of ordered equations: 608
% Current number of rules: 412
% New rule produced :
% [444]
% inverse(inverse(B) double_divide A) <->
% inverse(inverse(inverse(A))) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 607
% Current number of rules: 413
% New rule produced :
% [445]
% inverse(inverse(inverse(A))) double_divide B <->
% inverse(inverse(B) double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 606
% Current number of rules: 414
% New rule produced :
% [446]
% inverse(inverse(B) double_divide A) <->
% identity multiply (inverse(A) double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 605
% Current number of rules: 415
% New rule produced :
% [447]
% inverse(inverse(B) double_divide A) <->
% (identity multiply inverse(A)) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 604
% Current number of rules: 416
% New rule produced :
% [448]
% identity multiply (inverse(A) double_divide B) <->
% inverse(inverse(B) double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 603
% Current number of rules: 417
% New rule produced :
% [449]
% (identity multiply inverse(A)) double_divide B <->
% inverse(inverse(B) double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 602
% Current number of rules: 418
% New rule produced :
% [450]
% inverse(inverse(B) double_divide (identity double_divide A)) <->
% A double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 601
% Current number of rules: 419
% New rule produced :
% [451]
% A double_divide B <->
% inverse(inverse(B) double_divide (identity double_divide A))
% Current number of equations to process: 4
% Current number of ordered equations: 600
% Current number of rules: 420
% New rule produced :
% [452]
% inverse(inverse(inverse(identity)) double_divide inverse(A)) <->
% identity double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 599
% Current number of rules: 421
% New rule produced :
% [453]
% identity double_divide A <->
% inverse(inverse(inverse(identity)) double_divide inverse(A))
% Current number of equations to process: 4
% Current number of ordered equations: 598
% Current number of rules: 422
% New rule produced :
% [454] A <-> inverse(inverse(inverse(B) double_divide A) double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 595
% Current number of rules: 423
% New rule produced :
% [455] A <-> inverse(inverse(A) double_divide B) double_divide inverse(B)
% Current number of equations to process: 4
% Current number of ordered equations: 593
% Current number of rules: 424
% New rule produced :
% [456] inverse(inverse(inverse(B) double_divide A) double_divide B) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 590
% Current number of rules: 425
% New rule produced :
% [457] inverse(inverse(A) double_divide B) double_divide inverse(B) <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 588
% Current number of rules: 426
% New rule produced :
% [458] A <-> inverse(inverse(A) double_divide inverse(B)) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 587
% Current number of rules: 427
% New rule produced :
% [459] inverse(inverse(A) double_divide inverse(B)) double_divide B <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 586
% Current number of rules: 428
% New rule produced :
% [460]
% identity double_divide A <->
% inverse(inverse(B) double_divide A) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 585
% Current number of rules: 429
% New rule produced :
% [461]
% inverse(inverse(B) double_divide A) double_divide B <->
% identity double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 584
% Current number of rules: 430
% New rule produced :
% [462] inverse(inverse(A)) <-> inverse(inverse(B) double_divide A) multiply B
% Current number of equations to process: 4
% Current number of ordered equations: 583
% Current number of rules: 431
% New rule produced :
% [463] inverse(inverse(B) double_divide A) multiply B <-> inverse(inverse(A))
% Current number of equations to process: 4
% Current number of ordered equations: 582
% Current number of rules: 432
% New rule produced :
% [464]
% inverse(inverse(B)) <-> (inverse(inverse(A)) double_divide B) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 581
% Current number of rules: 433
% New rule produced :
% [465]
% (inverse(inverse(A)) double_divide B) double_divide A <-> inverse(inverse(B))
% Current number of equations to process: 4
% Current number of ordered equations: 580
% Current number of rules: 434
% New rule produced :
% [466]
% inverse(inverse(A double_divide B)) <->
% (identity double_divide inverse(B)) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 579
% Current number of rules: 435
% New rule produced :
% [467]
% inverse(inverse(A) double_divide B) <->
% (inverse(identity) double_divide B) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 578
% Current number of rules: 436
% New rule produced :
% [468]
% (identity double_divide inverse(B)) double_divide A <->
% inverse(inverse(A double_divide B))
% Current number of equations to process: 4
% Current number of ordered equations: 577
% Current number of rules: 437
% New rule produced :
% [469]
% (inverse(identity) double_divide B) double_divide A <->
% inverse(inverse(A) double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 576
% Current number of rules: 438
% New rule produced :
% [470]
% (A double_divide B) multiply C <->
% (inverse(B) double_divide C) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 575
% Current number of rules: 439
% New rule produced :
% [471]
% (inverse(B) double_divide C) double_divide A <->
% (A double_divide B) multiply C
% Current number of equations to process: 4
% Current number of ordered equations: 574
% Current number of rules: 440
% New rule produced :
% [472]
% inverse((identity double_divide B) double_divide A) <->
% (identity double_divide A) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 572
% Current number of rules: 441
% New rule produced :
% [473]
% (identity double_divide A) double_divide B <->
% inverse((identity double_divide B) double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 570
% Current number of rules: 442
% New rule produced :
% [474]
% inverse(identity double_divide (A double_divide B)) <->
% inverse(inverse(A)) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 569
% Current number of rules: 443
% New rule produced :
% [475]
% inverse(inverse(A)) double_divide B <->
% inverse(identity double_divide (A double_divide B))
% Current number of equations to process: 4
% Current number of ordered equations: 568
% Current number of rules: 444
% New rule produced :
% [476]
% inverse(inverse(inverse(A) double_divide B)) <->
% (identity double_divide A) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 567
% Current number of rules: 445
% New rule produced :
% [477]
% inverse(inverse(inverse(A)) double_divide B) <->
% identity double_divide (A double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 566
% Current number of rules: 446
% New rule produced :
% [478]
% identity double_divide (A double_divide B) <->
% inverse(inverse(inverse(A)) double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 565
% Current number of rules: 447
% New rule produced :
% [479]
% (identity double_divide A) double_divide B <->
% inverse(inverse(inverse(A) double_divide B))
% Current number of equations to process: 4
% Current number of ordered equations: 564
% Current number of rules: 448
% New rule produced :
% [480]
% (A double_divide C) double_divide B <->
% (inverse(A) double_divide B) multiply C
% Current number of equations to process: 4
% Current number of ordered equations: 563
% Current number of rules: 449
% New rule produced :
% [481]
% (inverse(A) double_divide B) multiply C <->
% (A double_divide C) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 562
% Current number of rules: 450
% New rule produced :
% [482]
% inverse(identity double_divide (inverse(identity) double_divide A)) <->
% identity double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 561
% Current number of rules: 451
% New rule produced :
% [483]
% identity double_divide A <->
% inverse(identity double_divide (inverse(identity) double_divide A))
% Current number of equations to process: 4
% Current number of ordered equations: 560
% Current number of rules: 452
% New rule produced :
% [484]
% inverse((identity double_divide inverse(A)) double_divide B) <-> A multiply B
% Current number of equations to process: 4
% Current number of ordered equations: 559
% Current number of rules: 453
% New rule produced :
% [485]
% inverse((identity double_divide inverse(B)) double_divide A) <-> A multiply B
% Current number of equations to process: 4
% Current number of ordered equations: 558
% Current number of rules: 454
% New rule produced :
% [486]
% A multiply B <-> inverse((identity double_divide inverse(A)) double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 557
% Current number of rules: 455
% New rule produced :
% [487]
% A multiply B <-> inverse((identity double_divide inverse(B)) double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 556
% Current number of rules: 456
% New rule produced :
% [488]
% inverse(A double_divide B) <->
% ((A multiply B) double_divide C) double_divide C
% Current number of equations to process: 4
% Current number of ordered equations: 555
% Current number of rules: 457
% New rule produced :
% [489]
% ((A multiply B) double_divide C) double_divide C <->
% inverse(A double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 554
% Current number of rules: 458
% New rule produced :
% [490]
% inverse(inverse(inverse(inverse(A) double_divide B))) <->
% inverse(B) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 553
% Current number of rules: 459
% New rule produced :
% [491]
% inverse(inverse(inverse(inverse(A))) double_divide B) <->
% inverse(B) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 552
% Current number of rules: 460
% New rule produced :
% [492]
% inverse(B) double_divide A <->
% inverse(inverse(inverse(inverse(A) double_divide B)))
% Current number of equations to process: 4
% Current number of ordered equations: 551
% Current number of rules: 461
% New rule produced :
% [493]
% inverse(B) double_divide A <->
% inverse(inverse(inverse(inverse(A))) double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 550
% Current number of rules: 462
% New rule produced :
% [494]
% inverse(identity multiply (inverse(A) double_divide B)) <->
% inverse(B) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 549
% Current number of rules: 463
% New rule produced :
% [495]
% inverse((identity multiply inverse(A)) double_divide B) <->
% inverse(B) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 548
% Current number of rules: 464
% New rule produced :
% [496]
% identity multiply inverse(inverse(A) double_divide B) <->
% inverse(B) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 547
% Current number of rules: 465
% New rule produced :
% [497]
% inverse(B) double_divide A <->
% inverse(identity multiply (inverse(A) double_divide B))
% Current number of equations to process: 4
% Current number of ordered equations: 546
% Current number of rules: 466
% New rule produced :
% [498]
% inverse(B) double_divide A <->
% inverse((identity multiply inverse(A)) double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 545
% Current number of rules: 467
% New rule produced :
% [499]
% inverse(B) double_divide A <->
% identity multiply inverse(inverse(A) double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 544
% Current number of rules: 468
% New rule produced :
% [500]
% inverse((A multiply B) double_divide C) <->
% inverse(C) double_divide (A double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 543
% Current number of rules: 469
% New rule produced :
% [501]
% inverse(C) double_divide (A double_divide B) <->
% inverse((A multiply B) double_divide C)
% Current number of equations to process: 4
% Current number of ordered equations: 542
% Current number of rules: 470
% New rule produced :
% [502]
% inverse(B) multiply A <->
% identity double_divide inverse(inverse(A) double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 541
% Current number of rules: 471
% New rule produced :
% [503]
% identity double_divide inverse(inverse(A) double_divide B) <->
% inverse(B) multiply A
% Current number of equations to process: 4
% Current number of ordered equations: 540
% Current number of rules: 472
% New rule produced :
% [504]
% inverse(inverse(inverse(A))) <->
% inverse(inverse(B) double_divide A) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 539
% Current number of rules: 473
% New rule produced :
% [505]
% inverse(inverse(B) double_divide A) double_divide B <->
% inverse(inverse(inverse(A)))
% Current number of equations to process: 4
% Current number of ordered equations: 538
% Current number of rules: 474
% New rule produced :
% [506]
% identity multiply inverse(A) <->
% inverse(inverse(B) double_divide A) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 537
% Current number of rules: 475
% New rule produced :
% [507]
% inverse(inverse(B) double_divide A) double_divide B <->
% identity multiply inverse(A)
% Current number of equations to process: 4
% Current number of ordered equations: 536
% Current number of rules: 476
% New rule produced :
% [508]
% inverse(B) <-> inverse(inverse(A)) double_divide (inverse(B) double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 535
% Current number of rules: 477
% New rule produced :
% [509]
% inverse(inverse(A)) double_divide (inverse(B) double_divide A) <-> inverse(B)
% Current number of equations to process: 4
% Current number of ordered equations: 534
% Current number of rules: 478
% New rule produced :
% [510]
% inverse(B) <->
% (identity double_divide (inverse(A) double_divide B)) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 533
% Current number of rules: 479
% New rule produced :
% [511]
% inverse(B) <->
% inverse((identity double_divide A) double_divide B) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 532
% Current number of rules: 480
% New rule produced :
% [512]
% (identity double_divide (inverse(A) double_divide B)) double_divide A <->
% inverse(B)
% Current number of equations to process: 4
% Current number of ordered equations: 531
% Current number of rules: 481
% New rule produced :
% [513]
% inverse((identity double_divide A) double_divide B) double_divide A <->
% inverse(B)
% Current number of equations to process: 4
% Current number of ordered equations: 530
% Current number of rules: 482
% New rule produced :
% [514]
% inverse(B) <->
% inverse(A double_divide B) double_divide (identity double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 529
% Current number of rules: 483
% New rule produced :
% [515]
% inverse(A double_divide B) double_divide (identity double_divide A) <->
% inverse(B)
% Current number of equations to process: 4
% Current number of ordered equations: 528
% Current number of rules: 484
% New rule produced :
% [516]
% inverse(A) <->
% inverse(inverse(identity)) double_divide inverse(identity double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 527
% Current number of rules: 485
% New rule produced :
% [517]
% inverse(inverse(identity)) double_divide inverse(identity double_divide A)
% <-> inverse(A)
% Current number of equations to process: 4
% Current number of ordered equations: 526
% Current number of rules: 486
% New rule produced :
% [518]
% identity double_divide inverse(A) <->
% inverse(inverse(B) double_divide A) multiply B
% Current number of equations to process: 4
% Current number of ordered equations: 525
% Current number of rules: 487
% New rule produced :
% [519]
% inverse(inverse(B) double_divide A) multiply B <->
% identity double_divide inverse(A)
% Current number of equations to process: 4
% Current number of ordered equations: 524
% Current number of rules: 488
% New rule produced :
% [520]
% (inverse(A) double_divide B) double_divide C <->
% (inverse(C) double_divide B) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 520
% Current number of rules: 489
% New rule produced :
% [521]
% inverse(A double_divide B) <->
% identity double_divide (inverse(inverse(A)) double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 519
% Current number of rules: 490
% New rule produced :
% [522]
% inverse(A double_divide B) <->
% inverse(A) double_divide (inverse(identity) double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 518
% Current number of rules: 491
% New rule produced :
% [523]
% identity double_divide (inverse(inverse(A)) double_divide B) <->
% inverse(A double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 517
% Current number of rules: 492
% New rule produced :
% [524]
% inverse(A) double_divide (inverse(identity) double_divide B) <->
% inverse(A double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 516
% Current number of rules: 493
% New rule produced :
% [525]
% inverse(identity double_divide A) <->
% (inverse(inverse(B)) double_divide A) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 515
% Current number of rules: 494
% New rule produced :
% [526]
% (inverse(inverse(B)) double_divide A) double_divide B <->
% inverse(identity double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 514
% Current number of rules: 495
% New rule produced :
% [527]
% inverse(inverse((identity double_divide A) double_divide B)) <->
% inverse(A) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 513
% Current number of rules: 496
% New rule produced :
% [528]
% inverse(A) double_divide B <->
% inverse(inverse((identity double_divide A) double_divide B))
% Current number of equations to process: 4
% Current number of ordered equations: 512
% Current number of rules: 497
% New rule produced :
% [529]
% inverse(A) double_divide (B double_divide C) <->
% inverse(C) double_divide (A double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 510
% Current number of rules: 498
% New rule produced :
% [530]
% inverse(C) double_divide (A double_divide B) <->
% inverse(A) double_divide (B double_divide C)
% Current number of equations to process: 4
% Current number of ordered equations: 508
% Current number of rules: 499
% New rule produced :
% [531]
% inverse((A double_divide B) double_divide C) <->
% (inverse(A) double_divide C) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 507
% Current number of rules: 500
% New rule produced :
% [532]
% (inverse(A) double_divide C) double_divide B <->
% inverse((A double_divide B) double_divide C)
% Current number of equations to process: 4
% Current number of ordered equations: 506
% Current number of rules: 501
% New rule produced :
% [533]
% inverse(identity double_divide A) <->
% inverse(inverse(B)) double_divide (A double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 505
% Current number of rules: 502
% New rule produced :
% [534]
% inverse(inverse(B)) double_divide (A double_divide B) <->
% inverse(identity double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 504
% Current number of rules: 503
% New rule produced :
% [535]
% inverse((inverse(identity) double_divide B) double_divide A) <->
% inverse(A) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 503
% Current number of rules: 504
% New rule produced :
% [536]
% inverse(A) double_divide B <->
% inverse((inverse(identity) double_divide B) double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 502
% Current number of rules: 505
% New rule produced :
% [537]
% inverse(((A double_divide B) double_divide C) double_divide C) <->
% A multiply B
% Current number of equations to process: 4
% Current number of ordered equations: 500
% Current number of rules: 506
% New rule produced :
% [538]
% A multiply B <->
% inverse(((A double_divide B) double_divide C) double_divide C)
% Current number of equations to process: 4
% Current number of ordered equations: 498
% Current number of rules: 507
% New rule produced :
% [539]
% A multiply B <-> (inverse(A double_divide B) double_divide C) double_divide C
% Current number of equations to process: 4
% Current number of ordered equations: 496
% Current number of rules: 508
% New rule produced :
% [540]
% (inverse(A double_divide B) double_divide C) double_divide C <-> A multiply B
% Current number of equations to process: 4
% Current number of ordered equations: 494
% Current number of rules: 509
% New rule produced :
% [541]
% A <-> (((A double_divide B) double_divide C) double_divide C) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 493
% Current number of rules: 510
% New rule produced :
% [542]
% A <-> (((A double_divide B) double_divide B) double_divide C) double_divide C
% Current number of equations to process: 4
% Current number of ordered equations: 492
% Current number of rules: 511
% New rule produced :
% [543]
% (((A double_divide B) double_divide C) double_divide C) double_divide B <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 491
% Current number of rules: 512
% New rule produced :
% [544]
% (((A double_divide B) double_divide B) double_divide C) double_divide C <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 490
% Current number of rules: 513
% New rule produced :
% [545]
% identity double_divide (A double_divide B) <->
% ((A multiply B) double_divide C) double_divide C
% Current number of equations to process: 4
% Current number of ordered equations: 489
% Current number of rules: 514
% New rule produced :
% [546]
% ((A multiply B) double_divide C) double_divide C <->
% identity double_divide (A double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 488
% Current number of rules: 515
% New rule produced :
% [547]
% A multiply B <->
% inverse(identity double_divide identity) double_divide (A double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 487
% Current number of rules: 516
% New rule produced :
% [548]
% inverse(identity double_divide identity) double_divide (A double_divide B)
% <-> A multiply B
% Current number of equations to process: 4
% Current number of ordered equations: 486
% Current number of rules: 517
% New rule produced :
% [549]
% A multiply B <->
% identity double_divide inverse(identity double_divide (A double_divide B))
% Current number of equations to process: 4
% Current number of ordered equations: 485
% Current number of rules: 518
% New rule produced :
% [550]
% A multiply B <->
% (identity double_divide inverse(identity)) double_divide (A double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 484
% Current number of rules: 519
% New rule produced :
% [551]
% identity double_divide inverse(identity double_divide (A double_divide B))
% <-> A multiply B
% Current number of equations to process: 4
% Current number of ordered equations: 483
% Current number of rules: 520
% New rule produced :
% [552]
% (identity double_divide inverse(identity)) double_divide (A double_divide B)
% <-> A multiply B
% Current number of equations to process: 4
% Current number of ordered equations: 482
% Current number of rules: 521
% New rule produced :
% [553]
% A multiply B <->
% inverse(inverse(inverse(identity))) double_divide (A double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 481
% Current number of rules: 522
% New rule produced :
% [554]
% inverse(inverse(inverse(identity))) double_divide (A double_divide B) <->
% A multiply B
% Current number of equations to process: 4
% Current number of ordered equations: 480
% Current number of rules: 523
% New rule produced :
% [555]
% B multiply C <->
% (inverse(A) double_divide A) double_divide (B double_divide C)
% Rule
% [550]
% A multiply B <->
% (identity double_divide inverse(identity)) double_divide (A double_divide B)
% collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 479
% Current number of rules: 523
% New rule produced :
% [556]
% (inverse(A) double_divide A) double_divide (B double_divide C) <->
% B multiply C
% Rule
% [552]
% (identity double_divide inverse(identity)) double_divide (A double_divide B)
% <-> A multiply B collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 478
% Current number of rules: 523
% New rule produced :
% [557]
% identity <->
% (inverse(A) double_divide B) double_divide (inverse(B) double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 477
% Current number of rules: 524
% New rule produced :
% [558]
% (inverse(A) double_divide B) double_divide (inverse(B) double_divide A) <->
% identity
% Current number of equations to process: 4
% Current number of ordered equations: 476
% Current number of rules: 525
% New rule produced :
% [559]
% inverse(inverse(B) double_divide A) <->
% inverse(identity double_divide inverse(A)) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 475
% Current number of rules: 526
% New rule produced :
% [560]
% inverse(identity double_divide inverse(A)) double_divide B <->
% inverse(inverse(B) double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 474
% Current number of rules: 527
% New rule produced :
% [561]
% inverse(inverse(B) double_divide A) <->
% identity double_divide inverse(inverse(A) double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 473
% Current number of rules: 528
% New rule produced :
% [562]
% inverse(inverse(B) double_divide A) <->
% (identity double_divide inverse(inverse(A))) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 472
% Current number of rules: 529
% New rule produced :
% [563]
% identity double_divide inverse(inverse(A) double_divide B) <->
% inverse(inverse(B) double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 471
% Current number of rules: 530
% New rule produced :
% [564]
% (identity double_divide inverse(inverse(A))) double_divide B <->
% inverse(inverse(B) double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 470
% Current number of rules: 531
% New rule produced :
% [565]
% inverse(inverse(C) double_divide (A double_divide B)) <->
% (A multiply B) double_divide C
% Current number of equations to process: 4
% Current number of ordered equations: 469
% Current number of rules: 532
% New rule produced :
% [566]
% (A multiply B) double_divide C <->
% inverse(inverse(C) double_divide (A double_divide B))
% Current number of equations to process: 4
% Current number of ordered equations: 468
% Current number of rules: 533
% New rule produced :
% [567]
% inverse(inverse(inverse(inverse(A)) double_divide B)) <->
% inverse(inverse(B)) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 466
% Current number of rules: 534
% New rule produced :
% [568]
% inverse(inverse(B)) double_divide A <->
% inverse(inverse(inverse(inverse(A)) double_divide B))
% Current number of equations to process: 4
% Current number of ordered equations: 464
% Current number of rules: 535
% New rule produced :
% [569]
% inverse(identity double_divide inverse(A)) <->
% inverse(inverse(B) double_divide A) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 463
% Current number of rules: 536
% New rule produced :
% [570]
% inverse(inverse(B) double_divide A) double_divide B <->
% inverse(identity double_divide inverse(A))
% Current number of equations to process: 4
% Current number of ordered equations: 462
% Current number of rules: 537
% New rule produced :
% [571]
% identity double_divide inverse(inverse(A)) <->
% inverse(inverse(B) double_divide A) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 461
% Current number of rules: 538
% New rule produced :
% [572]
% inverse(inverse(B) double_divide A) double_divide B <->
% identity double_divide inverse(inverse(A))
% Current number of equations to process: 4
% Current number of ordered equations: 460
% Current number of rules: 539
% New rule produced :
% [573]
% A <->
% inverse(inverse(B) double_divide (identity double_divide A)) double_divide B
% Current number of equations to process: 4
% Current number of ordered equations: 459
% Current number of rules: 540
% New rule produced :
% [574]
% inverse(inverse(B) double_divide (identity double_divide A)) double_divide B
% <-> A
% Current number of equations to process: 4
% Current number of ordered equations: 458
% Current number of rules: 541
% New rule produced :
% [575]
% identity <->
% inverse(inverse(inverse(identity) double_divide inverse(A)) double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 457
% Current number of rules: 542
% New rule produced :
% [576]
% identity <->
% inverse(inverse(inverse(identity double_divide inverse(A)) double_divide A))
% Current number of equations to process: 4
% Current number of ordered equations: 456
% Current number of rules: 543
% New rule produced :
% [577]
% identity <->
% inverse(inverse(inverse(identity)) double_divide inverse(A)) double_divide A
% Current number of equations to process: 4
% Current number of ordered equations: 455
% Current number of rules: 544
% New rule produced :
% [578]
% inverse(inverse(inverse(identity) double_divide inverse(A)) double_divide A)
% <-> identity
% Current number of equations to process: 4
% Current number of ordered equations: 454
% Current number of rules: 545
% New rule produced :
% [579]
% inverse(inverse(inverse(identity double_divide inverse(A)) doublCputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------