%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : GRP583-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n167.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 00:23:31 EDT 2014

% Result   : Timeout 300.00s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : GRP583-1 : TPTP v6.0.0. Released v2.6.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n167.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 21:01:18 CDT 2014
% % CPUTime  : 300.00 
% Processing problem /tmp/CiME_16174_n167.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " c3,b3,a3,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(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C;
% 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 "
% c3 lr_lex;
% b3 lr_lex;
% a3 lr_lex;
% inverse lr_lex;
% multiply lr_lex;
% double_divide lr_lex;
% identity lr_lex;
% ";
% 
% let p1 = precedence F "
% multiply > double_divide > inverse > identity > a3 > b3 > c3";
% 
% let s2 = status F "
% c3 mul;
% b3 mul;
% a3 mul;
% inverse mul;
% multiply mul;
% double_divide mul;
% identity mul;
% ";
% 
% let p2 = precedence F "
% multiply > double_divide > inverse > identity = a3 = b3 = c3";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3));"
% ;
% (*
% 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(identity,B),
% double_divide(C,
% double_divide(B,A)))),
% double_divide(identity,identity)) = C,
% 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(multiply(a3,b3),c3) =
% multiply(a3,multiply(b3,c3)) }
% (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(c3,inverse(double_divide(b3,a3)))) = inverse(double_divide(
% inverse(
% double_divide(c3,b3)),a3))
% 
% 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(identity,B),
% double_divide(C,double_divide(B,A)))),inverse(identity))
% -> C
% 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(inverse(A),double_divide(double_divide(identity,A),
% inverse(B))),inverse(identity)) -> B
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [6]
% double_divide(inverse(inverse(A)),inverse(identity)) ->
% double_divide(identity,A)
% Current number of equations to process: 6
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [7]
% double_divide(double_divide(inverse(identity),double_divide(inverse(identity),
% inverse(A))),inverse(identity))
% -> A
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [8]
% double_divide(double_divide(inverse(inverse(identity)),double_divide(identity,
% inverse(A))),inverse(identity))
% -> A
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [9]
% double_divide(double_divide(A,double_divide(inverse(identity),double_divide(B,
% double_divide(identity,A)))),
% inverse(identity)) -> B
% Current number of equations to process: 2
% Current number of ordered equations: 1
% Current number of rules: 9
% New rule produced :
% [10]
% double_divide(double_divide(identity,double_divide(double_divide(identity,A),
% double_divide(B,inverse(A)))),inverse(identity))
% -> B
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [11]
% double_divide(double_divide(A,double_divide(identity,double_divide(B,
% double_divide(inverse(identity),A)))),
% inverse(identity)) -> B
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [12]
% double_divide(double_divide(identity,double_divide(inverse(identity),
% double_divide(A,inverse(identity)))),
% inverse(identity)) -> A
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [13]
% double_divide(double_divide(identity,inverse(double_divide(identity,A))),
% inverse(identity)) -> A
% Current number of equations to process: 8
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [14]
% double_divide(double_divide(identity,double_divide(identity,double_divide(A,
% inverse(inverse(identity))))),
% inverse(identity)) -> A
% Current number of equations to process: 7
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [15]
% double_divide(double_divide(identity,inverse(inverse(identity))),inverse(identity))
% -> identity
% Current number of equations to process: 11
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [16]
% double_divide(double_divide(identity,double_divide(inverse(identity),A)),
% inverse(identity)) ->
% double_divide(identity,double_divide(inverse(identity),double_divide(A,
% inverse(identity))))
% Rule
% [12]
% double_divide(double_divide(identity,double_divide(inverse(identity),
% double_divide(A,inverse(identity)))),
% inverse(identity)) -> A collapsed.
% Current number of equations to process: 11
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [17] inverse(identity) -> identity
% Rule
% [4]
% double_divide(double_divide(A,double_divide(double_divide(identity,B),
% double_divide(C,double_divide(B,A)))),inverse(identity))
% -> C collapsed.
% Rule
% [5]
% double_divide(double_divide(inverse(A),double_divide(double_divide(identity,A),
% inverse(B))),inverse(identity)) -> B
% collapsed.
% Rule
% [6]
% double_divide(inverse(inverse(A)),inverse(identity)) ->
% double_divide(identity,A) collapsed.
% Rule
% [7]
% double_divide(double_divide(inverse(identity),double_divide(inverse(identity),
% inverse(A))),inverse(identity))
% -> A collapsed.
% Rule
% [8]
% double_divide(double_divide(inverse(inverse(identity)),double_divide(identity,
% inverse(A))),inverse(identity))
% -> A collapsed.
% Rule
% [9]
% double_divide(double_divide(A,double_divide(inverse(identity),double_divide(B,
% double_divide(identity,A)))),
% inverse(identity)) -> B collapsed.
% Rule
% [10]
% double_divide(double_divide(identity,double_divide(double_divide(identity,A),
% double_divide(B,inverse(A)))),inverse(identity))
% -> B collapsed.
% Rule
% [11]
% double_divide(double_divide(A,double_divide(identity,double_divide(B,
% double_divide(inverse(identity),A)))),
% inverse(identity)) -> B collapsed.
% Rule
% [13]
% double_divide(double_divide(identity,inverse(double_divide(identity,A))),
% inverse(identity)) -> A collapsed.
% Rule
% [14]
% double_divide(double_divide(identity,double_divide(identity,double_divide(A,
% inverse(inverse(identity))))),
% inverse(identity)) -> A collapsed.
% Rule
% [15]
% double_divide(double_divide(identity,inverse(inverse(identity))),inverse(identity))
% -> identity collapsed.
% Rule
% [16]
% double_divide(double_divide(identity,double_divide(inverse(identity),A)),
% inverse(identity)) ->
% double_divide(identity,double_divide(inverse(identity),double_divide(A,
% inverse(identity))))
% collapsed.
% Current number of equations to process: 19
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced :
% [18]
% inverse(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,
% double_divide(B,A)))))
% -> C
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [19] double_divide(identity,A) -> inverse(inverse(inverse(A)))
% Rule
% [18]
% inverse(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,
% double_divide(B,A)))))
% -> C collapsed.
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [20]
% inverse(double_divide(A,double_divide(inverse(inverse(inverse(B))),double_divide(C,
% double_divide(B,A)))))
% -> C
% Current number of equations to process: 17
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [21]
% inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(A)))))))) ->
% A
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [22]
% inverse(double_divide(A,inverse(inverse(inverse(double_divide(B,inverse(
% inverse(
% inverse(A)))))))))
% -> B
% Current number of equations to process: 13
% Current number of ordered equations: 1
% Current number of rules: 8
% New rule produced :
% [23]
% inverse(double_divide(inverse(A),double_divide(inverse(inverse(inverse(A))),
% inverse(B)))) -> B
% Current number of equations to process: 13
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [24]
% inverse(inverse(inverse(inverse(double_divide(inverse(inverse(inverse(A))),
% double_divide(B,inverse(A))))))) -> B
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [25]
% double_divide(inverse(inverse(inverse(inverse(inverse(inverse(inverse(A))))))),A)
% -> identity
% Current number of equations to process: 13
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [26]
% inverse(double_divide(double_divide(A,inverse(inverse(inverse(B)))),inverse(
% inverse(A))))
% -> B
% Current number of equations to process: 19
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [27]
% inverse(double_divide(inverse(A),inverse(inverse(inverse(inverse(A)))))) ->
% identity
% Current number of equations to process: 25
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [28]
% inverse(double_divide(A,double_divide(inverse(inverse(A)),inverse(B)))) -> B
% Rule
% [23]
% inverse(double_divide(inverse(A),double_divide(inverse(inverse(inverse(A))),
% inverse(B)))) -> B collapsed.
% Current number of equations to process: 27
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [29]
% double_divide(double_divide(inverse(A),double_divide(inverse(inverse(
% inverse(A))),
% inverse(B))),B) -> identity
% Current number of equations to process: 27
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [30]
% inverse(inverse(inverse(inverse(double_divide(inverse(inverse(A)),double_divide(B,A))))))
% -> B
% Rule
% [24]
% inverse(inverse(inverse(inverse(double_divide(inverse(inverse(inverse(A))),
% double_divide(B,inverse(A))))))) -> B
% collapsed.
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [31]
% inverse(double_divide(double_divide(A,B),inverse(inverse(A)))) ->
% inverse(inverse(inverse(inverse(inverse(B)))))
% Rule
% [26]
% inverse(double_divide(double_divide(A,inverse(inverse(inverse(B)))),inverse(
% inverse(A))))
% -> B collapsed.
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [32] inverse(double_divide(A,inverse(inverse(inverse(A))))) -> identity
% Rule
% [27]
% inverse(double_divide(inverse(A),inverse(inverse(inverse(inverse(A)))))) ->
% identity collapsed.
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [33]
% double_divide(double_divide(A,double_divide(inverse(inverse(A)),inverse(B))),B)
% -> identity
% Rule
% [29]
% double_divide(double_divide(inverse(A),double_divide(inverse(inverse(
% inverse(A))),
% inverse(B))),B) -> identity collapsed.
% Current number of equations to process: 48
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [34]
% inverse(double_divide(A,double_divide(inverse(inverse(A)),B))) ->
% inverse(inverse(inverse(inverse(inverse(inverse(inverse(B)))))))
% Rule
% [28]
% inverse(double_divide(A,double_divide(inverse(inverse(A)),inverse(B)))) -> B
% collapsed.
% Current number of equations to process: 61
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [35]
% double_divide(C,double_divide(inverse(inverse(C)),inverse(B))) ->
% inverse(inverse(inverse(inverse(inverse(inverse(inverse(B)))))))
% Rule
% [33]
% double_divide(double_divide(A,double_divide(inverse(inverse(A)),inverse(B))),B)
% -> identity collapsed.
% Current number of equations to process: 60
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [36]
% double_divide(inverse(inverse(B)),double_divide(A,B)) ->
% inverse(inverse(inverse(inverse(A))))
% Rule
% [30]
% inverse(inverse(inverse(inverse(double_divide(inverse(inverse(A)),double_divide(B,A))))))
% -> B collapsed.
% Current number of equations to process: 66
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [37]
% double_divide(double_divide(B,A),inverse(inverse(B))) ->
% inverse(inverse(inverse(inverse(A))))
% Rule
% [31]
% inverse(double_divide(double_divide(A,B),inverse(inverse(A)))) ->
% inverse(inverse(inverse(inverse(inverse(B))))) collapsed.
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 14
% Rule [19] double_divide(identity,A) -> inverse(inverse(inverse(A))) is composed into 
% [19] double_divide(identity,A) -> inverse(A)
% New rule produced : [38] inverse(inverse(A)) -> A
% Rule
% [20]
% inverse(double_divide(A,double_divide(inverse(inverse(inverse(B))),double_divide(C,
% double_divide(B,A)))))
% -> C collapsed.
% Rule
% [21]
% inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(A)))))))) ->
% A collapsed.
% Rule
% [22]
% inverse(double_divide(A,inverse(inverse(inverse(double_divide(B,inverse(
% inverse(
% inverse(A)))))))))
% -> B collapsed.
% Rule
% [25]
% double_divide(inverse(inverse(inverse(inverse(inverse(inverse(inverse(A))))))),A)
% -> identity collapsed.
% Rule [32] inverse(double_divide(A,inverse(inverse(inverse(A))))) -> identity
% collapsed.
% Rule
% [34]
% inverse(double_divide(A,double_divide(inverse(inverse(A)),B))) ->
% inverse(inverse(inverse(inverse(inverse(inverse(inverse(B))))))) collapsed.
% Rule
% [35]
% double_divide(C,double_divide(inverse(inverse(C)),inverse(B))) ->
% inverse(inverse(inverse(inverse(inverse(inverse(inverse(B))))))) collapsed.
% Rule
% [36]
% double_divide(inverse(inverse(B)),double_divide(A,B)) ->
% inverse(inverse(inverse(inverse(A)))) collapsed.
% Rule
% [37]
% double_divide(double_divide(B,A),inverse(inverse(B))) ->
% inverse(inverse(inverse(inverse(A)))) collapsed.
% Current number of equations to process: 84
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [39]
% inverse(double_divide(A,double_divide(inverse(B),double_divide(C,double_divide(B,A)))))
% -> C
% Current number of equations to process: 83
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced : [40] double_divide(inverse(A),A) -> identity
% Current number of equations to process: 82
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced : [41] double_divide(B,double_divide(A,B)) -> A
% Current number of equations to process: 81
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced : [42] double_divide(double_divide(B,A),B) -> A
% Current number of equations to process: 80
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [43] inverse(double_divide(A,double_divide(A,B))) -> inverse(B)
% Current number of equations to process: 79
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [44] double_divide(C,double_divide(C,inverse(B))) -> inverse(B)
% Current number of equations to process: 78
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [45] inverse(double_divide(A,inverse(double_divide(B,inverse(A))))) -> B
% Current number of equations to process: 77
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [46] inverse(double_divide(B,A)) <-> inverse(double_divide(A,B))
% The conjecture has been reduced. 
% Conjecture is now:
% inverse(double_divide(c3,inverse(double_divide(b3,a3)))) = inverse(double_divide(a3,
% inverse(
% double_divide(c3,b3))))
% 
% Current number of equations to process: 83
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [47] double_divide(B,double_divide(B,A)) -> A
% Rule [43] inverse(double_divide(A,double_divide(A,B))) -> inverse(B)
% collapsed.
% Rule [44] double_divide(C,double_divide(C,inverse(B))) -> inverse(B)
% collapsed.
% Current number of equations to process: 87
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [48] double_divide(B,inverse(double_divide(A,inverse(B)))) -> inverse(A)
% Rule [45] inverse(double_divide(A,inverse(double_divide(B,inverse(A))))) -> B
% collapsed.
% Current number of equations to process: 89
% Current number of ordered equations: 0
% Current number of rules: 13
% double_divide(A,B) = double_divide(B,A) (birth = 329, lhs_size = 3, rhs_size = 3,trace = Cp of 46 and 38)
% Initializing completion ...
% New rule produced : [1] identity <-> inverse(identity)
% Current number of equations to process: 88
% Current number of ordered equations: 19
% Current number of rules: 1
% New rule produced : [2] inverse(identity) <-> identity
% Current number of equations to process: 88
% Current number of ordered equations: 18
% Current number of rules: 2
% New rule produced : [3] A <-> inverse(inverse(A))
% Current number of equations to process: 89
% Current number of ordered equations: 17
% Current number of rules: 3
% New rule produced : [4] inverse(inverse(A)) <-> A
% Current number of equations to process: 89
% Current number of ordered equations: 16
% Current number of rules: 4
% New rule produced : [5] inverse(A) <-> identity double_divide A
% Current number of equations to process: 90
% Current number of ordered equations: 15
% Current number of rules: 5
% New rule produced : [6] identity double_divide A <-> inverse(A)
% Current number of equations to process: 90
% Current number of ordered equations: 14
% Current number of rules: 6
% New rule produced : [7] identity <-> inverse(A) double_divide A
% Current number of equations to process: 96
% Current number of ordered equations: 15
% Current number of rules: 7
% New rule produced : [8] inverse(A) double_divide A <-> identity
% Current number of equations to process: 96
% Current number of ordered equations: 14
% Current number of rules: 8
% New rule produced : [9] A <-> (A double_divide B) double_divide B
% Current number of equations to process: 99
% Current number of ordered equations: 25
% Current number of rules: 9
% New rule produced : [10] inverse(A double_divide B) <-> multiply(A,B)
% Current number of equations to process: 99
% Current number of ordered equations: 24
% Current number of rules: 10
% New rule produced : [11] multiply(A,B) <-> inverse(A double_divide B)
% Current number of equations to process: 99
% Current number of ordered equations: 23
% Current number of rules: 11
% New rule produced : [12] (A double_divide B) double_divide B <-> A
% Current number of equations to process: 99
% Current number of ordered equations: 22
% 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: 114
% Current number of ordered equations: 59
% 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: 114
% Current number of ordered equations: 58
% Current number of rules: 14
% New rule produced :
% [15] inverse(A) <-> inverse(inverse(B) double_divide A) double_divide B
% Current number of equations to process: 105
% Current number of ordered equations: 123
% Current number of rules: 15
% New rule produced :
% [16] inverse(inverse(B) double_divide A) double_divide B <-> inverse(A)
% Current number of equations to process: 105
% Current number of ordered equations: 122
% Current number of rules: 16
% New rule produced :
% [17]
% C <->
% inverse((inverse(B) double_divide ((A double_divide B) double_divide C)) double_divide A)
% Current number of equations to process: 87
% Current number of ordered equations: 229
% Current number of rules: 17
% New rule produced :
% [18]
% inverse((inverse(B) double_divide ((A double_divide B) double_divide C)) double_divide A)
% <-> C
% Current number of equations to process: 87
% Current number of ordered equations: 228
% Current number of rules: 18
% New rule produced :
% [19]
% C <->
% (identity double_divide identity) double_divide (((identity double_divide B) double_divide 
% ((A double_divide B) double_divide C)) double_divide A)
% Current number of equations to process: 84
% Current number of ordered equations: 393
% Current number of rules: 19
% New rule produced :
% [20]
% (identity double_divide identity) double_divide (((identity double_divide B) double_divide 
% ((A double_divide B) double_divide C)) double_divide A)
% <-> C
% Current number of equations to process: 84
% Current number of ordered equations: 392
% Current number of rules: 20
% New rule produced : [21] identity <-> identity double_divide identity
% Current number of equations to process: 84
% Current number of ordered equations: 390
% Current number of rules: 21
% New rule produced : [22] identity double_divide identity <-> identity
% Current number of equations to process: 84
% Current number of ordered equations: 388
% Current number of rules: 22
% New rule produced : [23] A <-> multiply(A,identity)
% Current number of equations to process: 84
% Current number of ordered equations: 387
% Current number of rules: 23
% New rule produced : [24] A <-> multiply(identity,A)
% Current number of equations to process: 84
% Current number of ordered equations: 386
% Current number of rules: 24
% New rule produced : [25] multiply(A,identity) <-> A
% Current number of equations to process: 84
% Current number of ordered equations: 385
% Current number of rules: 25
% New rule produced : [26] multiply(identity,A) <-> A
% Current number of equations to process: 84
% Current number of ordered equations: 384
% Current number of rules: 26
% New rule produced : [27] identity <-> inverse(inverse(inverse(identity)))
% Current number of equations to process: 84
% Current number of ordered equations: 383
% Current number of rules: 27
% New rule produced : [28] inverse(inverse(inverse(identity))) <-> identity
% Current number of equations to process: 84
% Current number of ordered equations: 382
% Current number of rules: 28
% New rule produced : [29] A <-> inverse(identity double_divide A)
% Current number of equations to process: 84
% Current number of ordered equations: 379
% Current number of rules: 29
% New rule produced : [30] A <-> identity double_divide inverse(A)
% Current number of equations to process: 84
% Current number of ordered equations: 375
% Current number of rules: 30
% New rule produced : [31] inverse(identity double_divide A) <-> A
% Current number of equations to process: 84
% Current number of ordered equations: 372
% Current number of rules: 31
% New rule produced : [32] identity double_divide inverse(A) <-> A
% Current number of equations to process: 84
% Current number of ordered equations: 368
% Current number of rules: 32
% multiply(A,B) = multiply(B,A) (birth = 75, 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: 1
% Current number of ordered equations: 43
% Current number of rules: 1
% New rule produced : [2] inverse(identity) <-> identity
% Current number of equations to process: 1
% Current number of ordered equations: 42
% Current number of rules: 2
% New rule produced : [3] A <-> inverse(inverse(A))
% Current number of equations to process: 2
% Current number of ordered equations: 41
% Current number of rules: 3
% New rule produced : [4] A <-> identity multiply A
% Current number of equations to process: 2
% Current number of ordered equations: 39
% Current number of rules: 4
% New rule produced : [5] identity <-> identity double_divide identity
% Current number of equations to process: 2
% Current number of ordered equations: 37
% Current number of rules: 5
% New rule produced : [6] inverse(inverse(A)) <-> A
% Current number of equations to process: 2
% Current number of ordered equations: 36
% Current number of rules: 6
% New rule produced : [7] (eq)(A,A) -> (true)
% Current number of equations to process: 2
% Current number of ordered equations: 35
% Current number of rules: 7
% New rule produced : [8] identity multiply A <-> A
% Current number of equations to process: 2
% Current number of ordered equations: 33
% Current number of rules: 8
% New rule produced : [9] identity double_divide identity <-> identity
% Current number of equations to process: 2
% Current number of ordered equations: 31
% Current number of rules: 9
% New rule produced : [10] inverse(A) <-> identity double_divide A
% Current number of equations to process: 25
% Current number of ordered equations: 30
% Current number of rules: 10
% New rule produced : [11] identity double_divide A <-> inverse(A)
% Current number of equations to process: 25
% Current number of ordered equations: 29
% Current number of rules: 11
% New rule produced : [12] A <-> inverse(identity double_divide A)
% Current number of equations to process: 33
% Current number of ordered equations: 29
% Current number of rules: 12
% New rule produced : [13] A <-> identity double_divide inverse(A)
% Current number of equations to process: 33
% Current number of ordered equations: 27
% Current number of rules: 13
% New rule produced : [14] identity <-> inverse(inverse(inverse(identity)))
% Current number of equations to process: 33
% Current number of ordered equations: 25
% Current number of rules: 14
% New rule produced : [15] identity <-> inverse(A) double_divide A
% Current number of equations to process: 33
% Current number of ordered equations: 23
% Current number of rules: 15
% New rule produced : [16] inverse(identity double_divide A) <-> A
% Current number of equations to process: 33
% Current number of ordered equations: 21
% Current number of rules: 16
% New rule produced : [17] inverse(inverse(inverse(identity))) <-> identity
% Current number of equations to process: 33
% Current number of ordered equations: 19
% Current number of rules: 17
% New rule produced :
% [18] (eq)(inverse(inverse(A)),identity multiply A) -> (false)
% Current number of equations to process: 33
% Current number of ordered equations: 18
% Current number of rules: 18
% New rule produced : [19] identity double_divide inverse(A) <-> A
% Current number of equations to process: 33
% Current number of ordered equations: 16
% Current number of rules: 19
% New rule produced : [20] inverse(A) double_divide A <-> identity
% Current number of equations to process: 33
% Current number of ordered equations: 14
% Current number of rules: 20
% New rule produced : [21] A <-> (A double_divide B) double_divide B
% Current number of equations to process: 146
% Current number of ordered equations: 38
% Current number of rules: 21
% New rule produced : [22] inverse(A double_divide B) <-> A multiply B
% Current number of equations to process: 146
% Current number of ordered equations: 37
% Current number of rules: 22
% New rule produced : [23] A multiply B <-> inverse(A double_divide B)
% Current number of equations to process: 146
% Current number of ordered equations: 36
% Current number of rules: 23
% New rule produced : [24] (A double_divide B) double_divide B <-> A
% Current number of equations to process: 146
% Current number of ordered equations: 35
% 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: 152
% Current number of ordered equations: 142
% 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: 152
% Current number of ordered equations: 141
% Current number of rules: 26
% New rule produced :
% [27] inverse(A) <-> inverse(inverse(B) double_divide A) double_divide B
% Current number of equations to process: 52
% Current number of ordered equations: 384
% Current number of rules: 27
% New rule produced :
% [28] inverse(inverse(B) double_divide A) double_divide B <-> inverse(A)
% Current number of equations to process: 52
% Current number of ordered equations: 383
% Current number of rules: 28
% New rule produced :
% [29]
% C <->
% inverse((inverse(B) double_divide ((A double_divide B) double_divide C)) double_divide A)
% Current number of equations to process: 6
% Current number of ordered equations: 592
% Current number of rules: 29
% New rule produced :
% [30]
% inverse((inverse(B) double_divide ((A double_divide B) double_divide C)) double_divide A)
% <-> C
% Current number of equations to process: 6
% Current number of ordered equations: 591
% Current number of rules: 30
% New rule produced :
% [31]
% C <->
% (identity double_divide identity) double_divide (((identity double_divide B) double_divide 
% ((A double_divide B) double_divide C)) double_divide A)
% Current number of equations to process: 30
% Current number of ordered equations: 785
% Current number of rules: 31
% New rule produced :
% [32]
% (identity double_divide identity) double_divide (((identity double_divide B) double_divide 
% ((A double_divide B) double_divide C)) double_divide A)
% <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 784
% Current number of rules: 32
% New rule produced : [33] (eq)(A,identity multiply A) -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 782
% Current number of rules: 33
% New rule produced : [34] (eq)(inverse(inverse(A)),A) -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 781
% Current number of rules: 34
% New rule produced : [35] inverse(identity) <-> identity multiply identity
% Current number of equations to process: 30
% Current number of ordered equations: 779
% Current number of rules: 35
% New rule produced : [36] identity multiply identity <-> inverse(identity)
% Current number of equations to process: 30
% Current number of ordered equations: 777
% Current number of rules: 36
% New rule produced :
% [37] (eq)(inverse(identity),identity multiply identity) -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 776
% Current number of rules: 37
% New rule produced : [38] identity <-> inverse(identity multiply identity)
% Current number of equations to process: 30
% Current number of ordered equations: 775
% Current number of rules: 38
% New rule produced : [39] identity <-> identity multiply inverse(identity)
% Current number of equations to process: 30
% Current number of ordered equations: 774
% Current number of rules: 39
% New rule produced : [40] inverse(identity multiply identity) <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 773
% Current number of rules: 40
% New rule produced : [41] identity multiply inverse(identity) <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 772
% Current number of rules: 41
% New rule produced : [42] inverse(inverse(A)) <-> identity multiply A
% Current number of equations to process: 30
% Current number of ordered equations: 770
% Current number of rules: 42
% New rule produced : [43] identity multiply A <-> inverse(inverse(A))
% Current number of equations to process: 30
% Current number of ordered equations: 768
% Current number of rules: 43
% New rule produced :
% [44] inverse(inverse(identity)) <-> identity double_divide identity
% Current number of equations to process: 30
% Current number of ordered equations: 765
% Current number of rules: 44
% New rule produced :
% [45] identity double_divide identity <-> inverse(inverse(identity))
% Current number of equations to process: 30
% Current number of ordered equations: 762
% Current number of rules: 45
% New rule produced :
% [46] identity multiply identity <-> identity double_divide identity
% Current number of equations to process: 30
% Current number of ordered equations: 760
% Current number of rules: 46
% New rule produced :
% [47] identity double_divide identity <-> identity multiply identity
% Current number of equations to process: 30
% Current number of ordered equations: 758
% Current number of rules: 47
% New rule produced : [48] A <-> inverse(identity) multiply A
% Rule [39] identity <-> identity multiply inverse(identity) collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 757
% Current number of rules: 47
% New rule produced : [49] inverse(identity) multiply A <-> A
% Rule [41] identity multiply inverse(identity) <-> identity collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 756
% Current number of rules: 47
% New rule produced :
% [50] (eq)(identity,identity multiply inverse(identity)) -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 755
% Current number of rules: 48
% New rule produced : [51] inverse(A) <-> inverse(identity) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 750
% Current number of rules: 49
% New rule produced : [52] inverse(identity) double_divide A <-> inverse(A)
% Current number of equations to process: 30
% Current number of ordered equations: 745
% Current number of rules: 50
% New rule produced : [53] inverse(identity) <-> inverse(A) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 742
% Current number of rules: 51
% New rule produced : [54] inverse(A) double_divide A <-> inverse(identity)
% Current number of equations to process: 30
% Current number of ordered equations: 739
% Current number of rules: 52
% New rule produced : [55] inverse(identity) <-> inverse(A) multiply A
% Current number of equations to process: 30
% Current number of ordered equations: 738
% Current number of rules: 53
% New rule produced : [56] inverse(A) multiply A <-> inverse(identity)
% Current number of equations to process: 30
% Current number of ordered equations: 737
% Current number of rules: 54
% New rule produced : [57] A <-> inverse(inverse(inverse(inverse(A))))
% Current number of equations to process: 30
% Current number of ordered equations: 734
% Current number of rules: 55
% New rule produced : [58] inverse(inverse(inverse(inverse(A)))) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 731
% Current number of rules: 56
% New rule produced : [59] A <-> inverse(identity multiply inverse(A))
% Current number of equations to process: 30
% Current number of ordered equations: 730
% Current number of rules: 57
% New rule produced : [60] A <-> identity multiply inverse(inverse(A))
% Current number of equations to process: 30
% Current number of ordered equations: 729
% Current number of rules: 58
% New rule produced : [61] inverse(identity multiply inverse(A)) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 728
% Current number of rules: 59
% New rule produced : [62] identity multiply inverse(inverse(A)) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 727
% Current number of rules: 60
% New rule produced : [63] A <-> inverse(inverse(identity multiply A))
% Current number of equations to process: 30
% Current number of ordered equations: 726
% Current number of rules: 61
% New rule produced : [64] A <-> inverse(inverse(identity)) multiply A
% Current number of equations to process: 30
% Current number of ordered equations: 725
% Current number of rules: 62
% New rule produced : [65] inverse(inverse(identity multiply A)) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 724
% Current number of rules: 63
% New rule produced : [66] inverse(inverse(identity)) multiply A <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 723
% Current number of rules: 64
% New rule produced : [67] A <-> identity multiply (identity multiply A)
% Current number of equations to process: 30
% Current number of ordered equations: 722
% Current number of rules: 65
% New rule produced : [68] A <-> (identity multiply identity) multiply A
% Current number of equations to process: 30
% Current number of ordered equations: 721
% Current number of rules: 66
% New rule produced : [69] identity multiply (identity multiply A) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 720
% Current number of rules: 67
% New rule produced : [70] (identity multiply identity) multiply A <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 719
% Current number of rules: 68
% New rule produced : [71] A <-> (identity double_divide identity) multiply A
% Current number of equations to process: 30
% Current number of ordered equations: 717
% Current number of rules: 69
% New rule produced : [72] (identity double_divide identity) multiply A <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 715
% Current number of rules: 70
% New rule produced :
% [73] identity <-> inverse(inverse(identity double_divide identity))
% Current number of equations to process: 30
% Current number of ordered equations: 712
% Current number of rules: 71
% New rule produced :
% [74] identity <-> identity double_divide inverse(inverse(identity))
% Current number of equations to process: 30
% Current number of ordered equations: 708
% Current number of rules: 72
% New rule produced :
% [75] inverse(inverse(identity double_divide identity)) <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 705
% Current number of rules: 73
% New rule produced :
% [76] identity double_divide inverse(inverse(identity)) <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 701
% Current number of rules: 74
% New rule produced :
% [77] identity <-> identity double_divide (identity multiply identity)
% Current number of equations to process: 30
% Current number of ordered equations: 700
% Current number of rules: 75
% New rule produced :
% [78] identity double_divide (identity multiply identity) <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 699
% Current number of rules: 76
% New rule produced :
% [79] inverse(inverse(inverse(A))) <-> identity double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 697
% Current number of rules: 77
% New rule produced :
% [80] identity double_divide A <-> inverse(inverse(inverse(A)))
% Current number of equations to process: 30
% Current number of ordered equations: 695
% Current number of rules: 78
% New rule produced :
% [81] identity multiply inverse(A) <-> identity double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 693
% Current number of rules: 79
% New rule produced :
% [82] identity double_divide A <-> identity multiply inverse(A)
% Current number of equations to process: 30
% Current number of ordered equations: 691
% Current number of rules: 80
% New rule produced :
% [83] identity <-> inverse(identity double_divide inverse(identity))
% Current number of equations to process: 30
% Current number of ordered equations: 688
% Current number of rules: 81
% New rule produced :
% [84] inverse(identity double_divide inverse(identity)) <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 685
% Current number of rules: 82
% New rule produced :
% [85]
% inverse(identity double_divide identity) <-> identity double_divide identity
% Current number of equations to process: 30
% Current number of ordered equations: 684
% Current number of rules: 83
% New rule produced :
% [86]
% identity double_divide identity <-> inverse(identity double_divide identity)
% Current number of equations to process: 30
% Current number of ordered equations: 683
% Current number of rules: 84
% New rule produced :
% [87] identity multiply A <-> identity double_divide inverse(A)
% Current number of equations to process: 30
% Current number of ordered equations: 681
% Current number of rules: 85
% New rule produced :
% [88] identity double_divide inverse(A) <-> identity multiply A
% Current number of equations to process: 30
% Current number of ordered equations: 679
% Current number of rules: 86
% New rule produced :
% [89] inverse(inverse(inverse(identity))) <-> identity multiply identity
% Current number of equations to process: 30
% Current number of ordered equations: 678
% Current number of rules: 87
% New rule produced :
% [90] identity multiply identity <-> inverse(inverse(inverse(identity)))
% Current number of equations to process: 30
% Current number of ordered equations: 677
% Current number of rules: 88
% New rule produced : [91] identity <-> inverse(inverse(A) double_divide A)
% Rule [83] identity <-> inverse(identity double_divide inverse(identity))
% collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 676
% Current number of rules: 88
% New rule produced : [92] inverse(inverse(A) double_divide A) <-> identity
% Rule [84] inverse(identity double_divide inverse(identity)) <-> identity
% collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 675
% Current number of rules: 88
% New rule produced :
% [93] inverse(inverse(identity)) <-> inverse(A) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 674
% Current number of rules: 89
% New rule produced :
% [94] inverse(A) double_divide A <-> inverse(inverse(identity))
% Current number of equations to process: 30
% Current number of ordered equations: 673
% Current number of rules: 90
% New rule produced :
% [95] identity multiply identity <-> inverse(A) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 672
% Current number of rules: 91
% New rule produced :
% [96] inverse(A) double_divide A <-> identity multiply identity
% Current number of equations to process: 30
% Current number of ordered equations: 671
% Current number of rules: 92
% New rule produced :
% [97] identity double_divide identity <-> inverse(A) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 670
% Current number of rules: 93
% New rule produced :
% [98] inverse(A) double_divide A <-> identity double_divide identity
% Current number of equations to process: 30
% Current number of ordered equations: 669
% Current number of rules: 94
% New rule produced : [99] A <-> inverse(inverse(identity) double_divide A)
% Current number of equations to process: 30
% Current number of ordered equations: 667
% Current number of rules: 95
% New rule produced : [100] inverse(inverse(identity) double_divide A) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 665
% Current number of rules: 96
% New rule produced :
% [101] (eq)(inverse(inverse(A)),inverse(identity) multiply A) -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 664
% Current number of rules: 97
% New rule produced :
% [102] (eq)(inverse(identity double_divide A),identity multiply A) -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 663
% Current number of rules: 98
% New rule produced :
% [103] (eq)(identity double_divide inverse(A),identity multiply A) -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 662
% Current number of rules: 99
% New rule produced : [104] A <-> inverse(identity) double_divide inverse(A)
% Current number of equations to process: 30
% Current number of ordered equations: 661
% Current number of rules: 100
% New rule produced : [105] inverse(identity) double_divide inverse(A) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 660
% Current number of rules: 101
% New rule produced : [106] inverse(A multiply B) <-> A double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 656
% Current number of rules: 102
% New rule produced : [107] A double_divide B <-> inverse(A multiply B)
% Current number of equations to process: 30
% Current number of ordered equations: 652
% Current number of rules: 103
% New rule produced :
% [108] (eq)(inverse(inverse(A)),inverse(identity double_divide A)) -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 651
% Current number of rules: 104
% New rule produced :
% [109] inverse(A) multiply A <-> identity double_divide identity
% Current number of equations to process: 30
% Current number of ordered equations: 650
% Current number of rules: 105
% New rule produced :
% [110] identity double_divide identity <-> inverse(A) multiply A
% Current number of equations to process: 30
% Current number of ordered equations: 649
% Current number of rules: 106
% New rule produced :
% [111] inverse(A) <-> inverse(inverse(identity)) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 648
% Current number of rules: 107
% New rule produced :
% [112] inverse(inverse(identity)) double_divide A <-> inverse(A)
% Current number of equations to process: 30
% Current number of ordered equations: 647
% Current number of rules: 108
% New rule produced :
% [113] inverse(A) <-> identity multiply (identity double_divide A)
% Current number of equations to process: 30
% Current number of ordered equations: 646
% Current number of rules: 109
% New rule produced :
% [114] inverse(A) <-> (identity multiply identity) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 645
% Current number of rules: 110
% New rule produced :
% [115] identity multiply (identity double_divide A) <-> inverse(A)
% Current number of equations to process: 30
% Current number of ordered equations: 644
% Current number of rules: 111
% New rule produced :
% [116] (identity multiply identity) double_divide A <-> inverse(A)
% Current number of equations to process: 30
% Current number of ordered equations: 643
% Current number of rules: 112
% New rule produced :
% [117] inverse(A) <-> (identity double_divide identity) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 642
% Current number of rules: 113
% New rule produced :
% [118] (identity double_divide identity) double_divide A <-> inverse(A)
% Current number of equations to process: 30
% Current number of ordered equations: 641
% Current number of rules: 114
% New rule produced :
% [119] inverse(identity double_divide A) <-> identity double_divide inverse(A)
% Current number of equations to process: 30
% Current number of ordered equations: 640
% Current number of rules: 115
% New rule produced :
% [120] identity double_divide inverse(A) <-> inverse(identity double_divide A)
% Current number of equations to process: 30
% Current number of ordered equations: 639
% Current number of rules: 116
% New rule produced :
% [121]
% inverse(inverse(inverse(identity))) <->
% identity double_divide inverse(identity)
% Current number of equations to process: 30
% Current number of ordered equations: 638
% Current number of rules: 117
% New rule produced :
% [122]
% identity double_divide inverse(identity) <->
% inverse(inverse(inverse(identity)))
% Current number of equations to process: 30
% Current number of ordered equations: 637
% Current number of rules: 118
% New rule produced :
% [123] inverse(A) double_divide A <-> inverse(B) double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 633
% Current number of rules: 119
% New rule produced :
% [124] inverse(identity double_divide identity) <-> inverse(A) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 632
% Current number of rules: 120
% New rule produced :
% [125] inverse(A) double_divide A <-> inverse(identity double_divide identity)
% Current number of equations to process: 30
% Current number of ordered equations: 631
% Current number of rules: 121
% New rule produced :
% [126] inverse(inverse(inverse(identity))) <-> inverse(A) double_divide A
% Rule
% [121]
% inverse(inverse(inverse(identity))) <->
% identity double_divide inverse(identity) collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 630
% Current number of rules: 121
% New rule produced :
% [127] inverse(A) double_divide A <-> inverse(inverse(inverse(identity)))
% Rule
% [122]
% identity double_divide inverse(identity) <->
% inverse(inverse(inverse(identity))) collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 629
% Current number of rules: 121
% New rule produced :
% [128]
% (eq)(inverse(A),identity multiply (identity double_divide A)) -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 628
% Current number of rules: 122
% New rule produced :
% [129]
% (eq)(inverse(identity),identity multiply inverse(inverse(identity))) ->
% (false)
% Current number of equations to process: 30
% Current number of ordered equations: 627
% Current number of rules: 123
% New rule produced :
% [130] inverse(identity) <-> (identity double_divide A) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 626
% Current number of rules: 124
% New rule produced :
% [131] (identity double_divide A) double_divide A <-> inverse(identity)
% Current number of equations to process: 30
% Current number of ordered equations: 625
% Current number of rules: 125
% New rule produced : [132] inverse(A) <-> (A double_divide B) multiply B
% Rule [113] inverse(A) <-> identity multiply (identity double_divide A)
% collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 624
% Current number of rules: 125
% New rule produced : [133] (A double_divide B) multiply B <-> inverse(A)
% Rule [115] identity multiply (identity double_divide A) <-> inverse(A)
% collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 623
% Current number of rules: 125
% New rule produced :
% [134] inverse(inverse(inverse(A))) <-> inverse(identity) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 622
% Current number of rules: 126
% New rule produced :
% [135] inverse(identity) double_divide A <-> inverse(inverse(inverse(A)))
% Current number of equations to process: 30
% Current number of ordered equations: 621
% Current number of rules: 127
% New rule produced :
% [136] A <-> inverse(identity double_divide inverse(inverse(A)))
% Current number of equations to process: 30
% Current number of ordered equations: 619
% Current number of rules: 128
% New rule produced :
% [137] A <-> inverse(inverse(identity double_divide inverse(A)))
% Current number of equations to process: 30
% Current number of ordered equations: 617
% Current number of rules: 129
% New rule produced :
% [138] inverse(identity double_divide inverse(inverse(A))) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 615
% Current number of rules: 130
% New rule produced :
% [139] inverse(inverse(identity double_divide inverse(A))) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 613
% Current number of rules: 131
% New rule produced :
% [140] A <-> inverse(identity double_divide (identity multiply A))
% Current number of equations to process: 30
% Current number of ordered equations: 612
% Current number of rules: 132
% New rule produced :
% [141] A <-> inverse(identity double_divide identity) multiply A
% Current number of equations to process: 30
% Current number of ordered equations: 611
% Current number of rules: 133
% New rule produced :
% [142] inverse(identity double_divide (identity multiply A)) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 610
% Current number of rules: 134
% New rule produced :
% [143] inverse(identity double_divide identity) multiply A <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 609
% Current number of rules: 135
% New rule produced :
% [144]
% identity <->
% inverse(identity double_divide (identity double_divide identity))
% Current number of equations to process: 30
% Current number of ordered equations: 608
% Current number of rules: 136
% New rule produced :
% [145]
% identity <-> identity double_divide inverse(identity double_divide identity)
% Current number of equations to process: 30
% Current number of ordered equations: 606
% Current number of rules: 137
% New rule produced :
% [146]
% inverse(identity double_divide (identity double_divide identity)) <->
% identity
% Current number of equations to process: 30
% Current number of ordered equations: 605
% Current number of rules: 138
% New rule produced :
% [147]
% identity double_divide inverse(identity double_divide identity) <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 603
% Current number of rules: 139
% New rule produced :
% [148] inverse(identity double_divide inverse(A)) <-> identity double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 602
% Current number of rules: 140
% New rule produced :
% [149] identity double_divide A <-> inverse(identity double_divide inverse(A))
% Current number of equations to process: 30
% Current number of ordered equations: 601
% Current number of rules: 141
% New rule produced :
% [150] A <-> identity double_divide inverse(inverse(inverse(A)))
% Current number of equations to process: 30
% Current number of ordered equations: 598
% Current number of rules: 142
% New rule produced :
% [151] identity double_divide inverse(inverse(inverse(A))) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 595
% Current number of rules: 143
% New rule produced :
% [152] A <-> (identity double_divide inverse(identity)) multiply A
% Current number of equations to process: 30
% Current number of ordered equations: 594
% Current number of rules: 144
% New rule produced :
% [153] A <-> identity double_divide inverse(identity multiply A)
% Current number of equations to process: 30
% Current number of ordered equations: 593
% Current number of rules: 145
% New rule produced :
% [154] (identity double_divide inverse(identity)) multiply A <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 592
% Current number of rules: 146
% New rule produced :
% [155] identity double_divide inverse(identity multiply A) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 591
% Current number of rules: 147
% New rule produced :
% [156]
% identity <->
% identity double_divide (identity double_divide inverse(identity))
% Current number of equations to process: 30
% Current number of ordered equations: 590
% Current number of rules: 148
% New rule produced :
% [157]
% identity double_divide (identity double_divide inverse(identity)) <->
% identity
% Current number of equations to process: 30
% Current number of ordered equations: 589
% Current number of rules: 149
% New rule produced :
% [158] A <-> inverse(inverse(inverse(identity))) multiply A
% Current number of equations to process: 30
% Current number of ordered equations: 587
% Current number of rules: 150
% New rule produced :
% [159] inverse(inverse(inverse(identity))) multiply A <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 585
% Current number of rules: 151
% New rule produced : [160] B <-> (inverse(A) double_divide A) multiply B
% Rule [152] A <-> (identity double_divide inverse(identity)) multiply A
% collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 583
% Current number of rules: 151
% New rule produced : [161] (inverse(A) double_divide A) multiply B <-> B
% Rule [154] (identity double_divide inverse(identity)) multiply A <-> A
% collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 581
% Current number of rules: 151
% New rule produced :
% [162] identity <-> identity double_divide (inverse(A) double_divide A)
% Rule
% [156]
% identity <->
% identity double_divide (identity double_divide inverse(identity)) collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 580
% Current number of rules: 151
% New rule produced :
% [163] identity double_divide (inverse(A) double_divide A) <-> identity
% Rule
% [157]
% identity double_divide (identity double_divide inverse(identity)) <->
% identity collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 579
% Current number of rules: 151
% New rule produced :
% [164] A <-> inverse(inverse(inverse(identity double_divide A)))
% Current number of equations to process: 30
% Current number of ordered equations: 577
% Current number of rules: 152
% New rule produced :
% [165] A <-> inverse(inverse(inverse(identity)) double_divide A)
% Current number of equations to process: 30
% Current number of ordered equations: 576
% Current number of rules: 153
% New rule produced :
% [166] inverse(inverse(inverse(identity double_divide A))) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 574
% Current number of rules: 154
% New rule produced :
% [167] inverse(inverse(inverse(identity)) double_divide A) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 573
% Current number of rules: 155
% New rule produced :
% [168] A <-> inverse(identity multiply (identity double_divide A))
% Current number of equations to process: 30
% Current number of ordered equations: 572
% Current number of rules: 156
% New rule produced :
% [169] A <-> inverse((identity multiply identity) double_divide A)
% Current number of equations to process: 30
% Current number of ordered equations: 571
% Current number of rules: 157
% New rule produced :
% [170] A <-> identity multiply inverse(identity double_divide A)
% Current number of equations to process: 30
% Current number of ordered equations: 570
% Current number of rules: 158
% New rule produced :
% [171] inverse(identity multiply (identity double_divide A)) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 569
% Current number of rules: 159
% New rule produced :
% [172] inverse((identity multiply identity) double_divide A) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 568
% Current number of rules: 160
% New rule produced :
% [173] identity multiply inverse(identity double_divide A) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 567
% Current number of rules: 161
% New rule produced :
% [174] A <-> inverse((identity double_divide identity) double_divide A)
% Rule
% [144]
% identity <->
% inverse(identity double_divide (identity double_divide identity)) collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 566
% Current number of rules: 161
% New rule produced :
% [175] inverse((identity double_divide identity) double_divide A) <-> A
% Rule
% [146]
% inverse(identity double_divide (identity double_divide identity)) <->
% identity collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 565
% Current number of rules: 161
% New rule produced :
% [176] identity <-> inverse(inverse(inverse(inverse(inverse(identity)))))
% Current number of equations to process: 30
% Current number of ordered equations: 564
% Current number of rules: 162
% New rule produced :
% [177] inverse(inverse(inverse(inverse(inverse(identity))))) <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 563
% Current number of rules: 163
% New rule produced :
% [178] identity <-> inverse(identity multiply inverse(inverse(identity)))
% Current number of equations to process: 30
% Current number of ordered equations: 562
% Current number of rules: 164
% New rule produced :
% [179] identity <-> inverse(inverse(inverse(identity multiply identity)))
% Current number of equations to process: 30
% Current number of ordered equations: 561
% Current number of rules: 165
% New rule produced :
% [180] identity <-> inverse(inverse(identity multiply inverse(identity)))
% Current number of equations to process: 30
% Current number of ordered equations: 560
% Current number of rules: 166
% New rule produced :
% [181] inverse(identity multiply inverse(inverse(identity))) <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 559
% Current number of rules: 167
% New rule produced :
% [182] inverse(inverse(inverse(identity multiply identity))) <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 558
% Current number of rules: 168
% New rule produced :
% [183] inverse(inverse(identity multiply inverse(identity))) <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 557
% Current number of rules: 169
% New rule produced :
% [184]
% (eq)(inverse(inverse(A)),inverse(inverse(identity multiply A))) -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 556
% Current number of rules: 170
% New rule produced :
% [185]
% (eq)(inverse(inverse(A)),inverse(inverse(identity)) multiply A) -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 555
% Current number of rules: 171
% New rule produced :
% [186]
% (eq)(inverse(inverse(inverse(inverse(A)))),identity multiply A) -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 554
% Current number of rules: 172
% New rule produced :
% [187]
% (eq)(inverse(inverse(A)),identity multiply (identity multiply A)) -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 553
% Current number of rules: 173
% New rule produced :
% [188]
% (eq)(inverse(inverse(A)),(identity multiply identity) multiply A) -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 552
% Current number of rules: 174
% New rule produced :
% [189]
% (eq)(identity multiply inverse(inverse(A)),identity multiply A) -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 551
% Current number of rules: 175
% New rule produced :
% [190]
% (eq)(inverse(identity multiply inverse(A)),identity multiply A) -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 550
% Current number of rules: 176
% New rule produced :
% [191]
% (eq)(inverse(inverse(A)),(identity double_divide identity) multiply A) ->
% (false)
% Current number of equations to process: 30
% Current number of ordered equations: 549
% Current number of rules: 177
% New rule produced :
% [192] A <-> inverse(inverse(identity)) double_divide inverse(A)
% Current number of equations to process: 30
% Current number of ordered equations: 548
% Current number of rules: 178
% New rule produced :
% [193] inverse(inverse(identity)) double_divide inverse(A) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 547
% Current number of rules: 179
% New rule produced :
% [194] A <-> identity multiply (identity double_divide inverse(A))
% Current number of equations to process: 30
% Current number of ordered equations: 546
% Current number of rules: 180
% New rule produced :
% [195] A <-> identity double_divide (identity multiply inverse(A))
% Current number of equations to process: 30
% Current number of ordered equations: 545
% Current number of rules: 181
% New rule produced :
% [196] A <-> inverse(A) double_divide (identity multiply identity)
% Current number of equations to process: 30
% Current number of ordered equations: 544
% Current number of rules: 182
% New rule produced :
% [197] identity multiply (identity double_divide inverse(A)) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 543
% Current number of rules: 183
% New rule produced :
% [198] identity double_divide (identity multiply inverse(A)) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 542
% Current number of rules: 184
% New rule produced :
% [199] inverse(A) double_divide (identity multiply identity) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 541
% Current number of rules: 185
% New rule produced :
% [200] A <-> inverse(A) double_divide (identity double_divide identity)
% Current number of equations to process: 30
% Current number of ordered equations: 540
% Current number of rules: 186
% New rule produced :
% [201] inverse(A) double_divide (identity double_divide identity) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 539
% Current number of rules: 187
% New rule produced :
% [202] identity <-> inverse(inverse(inverse(A) double_divide A))
% Current number of equations to process: 30
% Current number of ordered equations: 538
% Current number of rules: 188
% New rule produced :
% [203] identity <-> inverse(inverse(inverse(A))) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 537
% Current number of rules: 189
% New rule produced :
% [204] inverse(inverse(inverse(A) double_divide A)) <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 536
% Current number of rules: 190
% New rule produced :
% [205] inverse(inverse(inverse(A))) double_divide A <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 535
% Current number of rules: 191
% New rule produced :
% [206] identity <-> (identity multiply inverse(A)) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 534
% Current number of rules: 192
% New rule produced :
% [207] (identity multiply inverse(A)) double_divide A <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 533
% Current number of rules: 193
% New rule produced :
% [208] identity <-> inverse((identity double_divide A) double_divide A)
% Current number of equations to process: 30
% Current number of ordered equations: 532
% Current number of rules: 194
% New rule produced :
% [209] identity <-> (inverse(identity) double_divide A) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 531
% Current number of rules: 195
% New rule produced :
% [210] inverse((identity double_divide A) double_divide A) <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 530
% Current number of rules: 196
% New rule produced :
% [211] (inverse(identity) double_divide A) double_divide A <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 529
% Current number of rules: 197
% New rule produced :
% [212] inverse(inverse(A)) <-> (A double_divide B) double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 528
% Current number of rules: 198
% New rule produced :
% [213] (A double_divide B) double_divide B <-> inverse(inverse(A))
% Current number of equations to process: 30
% Current number of ordered equations: 527
% Current number of rules: 199
% New rule produced :
% [214] identity multiply A <-> (A double_divide B) double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 526
% Current number of rules: 200
% New rule produced :
% [215] (A double_divide B) double_divide B <-> identity multiply A
% Current number of equations to process: 30
% Current number of ordered equations: 525
% Current number of rules: 201
% New rule produced :
% [216]
% identity double_divide identity <->
% (identity double_divide A) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 524
% Current number of rules: 202
% New rule produced :
% [217]
% (identity double_divide A) double_divide A <->
% identity double_divide identity
% Current number of equations to process: 30
% Current number of ordered equations: 523
% Current number of rules: 203
% New rule produced :
% [218] A double_divide B <-> identity double_divide (A multiply B)
% Current number of equations to process: 30
% Current number of ordered equations: 520
% Current number of rules: 204
% New rule produced :
% [219] identity double_divide (A multiply B) <-> A double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 517
% Current number of rules: 205
% New rule produced :
% [220]
% (eq)(inverse(inverse(A)),identity double_divide (identity double_divide A))
% -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 516
% Current number of rules: 206
% New rule produced :
% [221] identity double_divide A <-> (A double_divide B) multiply B
% Current number of equations to process: 30
% Current number of ordered equations: 515
% Current number of rules: 207
% New rule produced :
% [222] (A double_divide B) multiply B <-> identity double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 514
% Current number of rules: 208
% New rule produced :
% [223] inverse(A) <-> inverse(identity double_divide identity) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 513
% Current number of rules: 209
% New rule produced :
% [224] inverse(identity double_divide identity) double_divide A <-> inverse(A)
% Current number of equations to process: 30
% Current number of ordered equations: 512
% Current number of rules: 210
% New rule produced :
% [225] inverse(A) <-> identity double_divide inverse(identity double_divide A)
% Current number of equations to process: 30
% Current number of ordered equations: 510
% Current number of rules: 211
% New rule produced :
% [226]
% inverse(A) <-> (identity double_divide inverse(identity)) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 509
% Current number of rules: 212
% New rule produced :
% [227] identity double_divide inverse(identity double_divide A) <-> inverse(A)
% Current number of equations to process: 30
% Current number of ordered equations: 507
% Current number of rules: 213
% New rule produced :
% [228]
% (identity double_divide inverse(identity)) double_divide A <-> inverse(A)
% Current number of equations to process: 30
% Current number of ordered equations: 506
% Current number of rules: 214
% New rule produced :
% [229] inverse(A) <-> inverse(inverse(inverse(identity))) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 505
% Current number of rules: 215
% New rule produced :
% [230] inverse(inverse(inverse(identity))) double_divide A <-> inverse(A)
% Current number of equations to process: 30
% Current number of ordered equations: 504
% Current number of rules: 216
% New rule produced :
% [231] inverse(B) <-> (inverse(A) double_divide A) double_divide B
% Rule
% [226]
% inverse(A) <-> (identity double_divide inverse(identity)) double_divide A
% collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 503
% Current number of rules: 216
% New rule produced :
% [232] (inverse(A) double_divide A) double_divide B <-> inverse(B)
% Rule
% [228]
% (identity double_divide inverse(identity)) double_divide A <-> inverse(A)
% collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 502
% Current number of rules: 216
% New rule produced :
% [233]
% inverse(identity double_divide A) <-> (A double_divide B) double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 501
% Current number of rules: 217
% New rule produced :
% [234]
% (A double_divide B) double_divide B <-> inverse(identity double_divide A)
% Current number of equations to process: 30
% Current number of ordered equations: 500
% Current number of rules: 218
% New rule produced :
% [235]
% identity double_divide inverse(A) <-> (A double_divide B) double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 499
% Current number of rules: 219
% New rule produced :
% [236]
% (A double_divide B) double_divide B <-> identity double_divide inverse(A)
% Current number of equations to process: 30
% Current number of ordered equations: 498
% Current number of rules: 220
% New rule produced :
% [237]
% inverse(inverse(inverse(identity))) <->
% (identity double_divide A) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 497
% Current number of rules: 221
% New rule produced :
% [238]
% (identity double_divide A) double_divide A <->
% inverse(inverse(inverse(identity)))
% Current number of equations to process: 30
% Current number of ordered equations: 496
% Current number of rules: 222
% New rule produced :
% [239]
% (identity double_divide B) double_divide B <-> inverse(A) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 495
% Current number of rules: 223
% New rule produced :
% [240]
% inverse(A) double_divide A <-> (identity double_divide B) double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 494
% Current number of rules: 224
% New rule produced :
% [241]
% (eq)(inverse(A multiply B),identity multiply (A double_divide B)) -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 493
% Current number of rules: 225
% New rule produced :
% [242] inverse(A double_divide B) <-> identity multiply (A multiply B)
% Current number of equations to process: 30
% Current number of ordered equations: 492
% Current number of rules: 226
% New rule produced :
% [243] identity multiply (A multiply B) <-> inverse(A double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 491
% Current number of rules: 227
% New rule produced :
% [244] inverse(A multiply B) <-> identity multiply (A double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 490
% Current number of rules: 228
% New rule produced :
% [245] identity multiply (A double_divide B) <-> inverse(A multiply B)
% Current number of equations to process: 30
% Current number of ordered equations: 489
% Current number of rules: 229
% New rule produced :
% [246] inverse(identity) <-> inverse(inverse(inverse(A))) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 488
% Current number of rules: 230
% New rule produced :
% [247] inverse(inverse(inverse(A))) double_divide A <-> inverse(identity)
% Current number of equations to process: 30
% Current number of ordered equations: 487
% Current number of rules: 231
% New rule produced :
% [248] inverse(B) <-> (inverse(A) multiply B) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 486
% Current number of rules: 232
% New rule produced :
% [249] (inverse(A) multiply B) double_divide A <-> inverse(B)
% Current number of equations to process: 30
% Current number of ordered equations: 485
% Current number of rules: 233
% New rule produced :
% [250] inverse(inverse(B) double_divide A) <-> inverse(A) double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 484
% Current number of rules: 234
% New rule produced :
% [251] inverse(A) double_divide B <-> inverse(inverse(B) double_divide A)
% Current number of equations to process: 30
% Current number of ordered equations: 483
% Current number of rules: 235
% New rule produced :
% [252] a3 multiply (c3 multiply b3) <-> c3 multiply (b3 multiply a3)
% Current number of equations to process: 30
% Current number of ordered equations: 482
% Current number of rules: 236
% New rule produced :
% [253] c3 multiply (b3 multiply a3) <-> a3 multiply (c3 multiply b3)
% Current number of equations to process: 30
% Current number of ordered equations: 481
% Current number of rules: 237
% New rule produced :
% [254]
% A <-> inverse(inverse(identity double_divide (identity double_divide A)))
% Current number of equations to process: 30
% Current number of ordered equations: 480
% Current number of rules: 238
% New rule produced :
% [255] A <-> inverse(inverse(identity double_divide identity) double_divide A)
% Current number of equations to process: 30
% Current number of ordered equations: 479
% Current number of rules: 239
% New rule produced :
% [256]
% inverse(inverse(identity double_divide (identity double_divide A))) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 478
% Current number of rules: 240
% New rule produced :
% [257] inverse(inverse(identity double_divide identity) double_divide A) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 477
% Current number of rules: 241
% New rule produced :
% [258] A <-> inverse(identity double_divide inverse(identity double_divide A))
% Current number of equations to process: 30
% Current number of ordered equations: 476
% Current number of rules: 242
% New rule produced :
% [259]
% A <-> inverse((identity double_divide inverse(identity)) double_divide A)
% Current number of equations to process: 30
% Current number of ordered equations: 475
% Current number of rules: 243
% New rule produced :
% [260] A <-> identity double_divide inverse(inverse(identity double_divide A))
% Current number of equations to process: 30
% Current number of ordered equations: 474
% Current number of rules: 244
% New rule produced :
% [261] inverse(identity double_divide inverse(identity double_divide A)) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 473
% Current number of rules: 245
% New rule produced :
% [262]
% inverse((identity double_divide inverse(identity)) double_divide A) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 472
% Current number of rules: 246
% New rule produced :
% [263] identity double_divide inverse(inverse(identity double_divide A)) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 471
% Current number of rules: 247
% New rule produced :
% [264] A <-> inverse(inverse(inverse(inverse(identity))) double_divide A)
% Current number of equations to process: 30
% Current number of ordered equations: 469
% Current number of rules: 248
% New rule produced :
% [265] inverse(inverse(inverse(inverse(identity))) double_divide A) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 467
% Current number of rules: 249
% New rule produced :
% [266] B <-> inverse((inverse(A) double_divide A) double_divide B)
% Rule
% [259]
% A <-> inverse((identity double_divide inverse(identity)) double_divide A)
% collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 464
% Current number of rules: 249
% New rule produced :
% [267] inverse((inverse(A) double_divide A) double_divide B) <-> B
% Rule
% [262]
% inverse((identity double_divide inverse(identity)) double_divide A) <-> A
% collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 461
% Current number of rules: 249
% New rule produced :
% [268]
% identity <->
% inverse(inverse(inverse(inverse(identity double_divide identity))))
% Current number of equations to process: 30
% Current number of ordered equations: 460
% Current number of rules: 250
% New rule produced :
% [269]
% inverse(inverse(inverse(inverse(identity double_divide identity)))) <->
% identity
% Current number of equations to process: 30
% Current number of ordered equations: 459
% Current number of rules: 251
% New rule produced :
% [270]
% identity <->
% inverse(inverse(identity double_divide inverse(inverse(identity))))
% Current number of equations to process: 30
% Current number of ordered equations: 458
% Current number of rules: 252
% New rule produced :
% [271]
% identity <->
% inverse(inverse(inverse(identity double_divide inverse(identity))))
% Current number of equations to process: 30
% Current number of ordered equations: 457
% Current number of rules: 253
% New rule produced :
% [272]
% identity <->
% identity double_divide inverse(inverse(inverse(inverse(identity))))
% Current number of equations to process: 30
% Current number of ordered equations: 456
% Current number of rules: 254
% New rule produced :
% [273]
% inverse(inverse(identity double_divide inverse(inverse(identity)))) <->
% identity
% Current number of equations to process: 30
% Current number of ordered equations: 455
% Current number of rules: 255
% New rule produced :
% [274]
% inverse(inverse(inverse(identity double_divide inverse(identity)))) <->
% identity
% Current number of equations to process: 30
% Current number of ordered equations: 454
% Current number of rules: 256
% New rule produced :
% [275]
% identity double_divide inverse(inverse(inverse(inverse(identity)))) <->
% identity
% Current number of equations to process: 30
% Current number of ordered equations: 453
% Current number of rules: 257
% New rule produced :
% [276]
% identity <-> inverse(inverse(inverse(inverse(inverse(inverse(identity))))))
% Current number of equations to process: 30
% Current number of ordered equations: 452
% Current number of rules: 258
% New rule produced :
% [277]
% inverse(inverse(inverse(inverse(inverse(inverse(identity)))))) <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 451
% Current number of rules: 259
% New rule produced :
% [278] identity <-> inverse(inverse(inverse(inverse(A) double_divide A)))
% Rule
% [271]
% identity <->
% inverse(inverse(inverse(identity double_divide inverse(identity))))
% collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 450
% Current number of rules: 259
% New rule produced :
% [279] inverse(inverse(inverse(inverse(A) double_divide A))) <-> identity
% Rule
% [274]
% inverse(inverse(inverse(identity double_divide inverse(identity)))) <->
% identity collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 449
% Current number of rules: 259
% New rule produced :
% [280]
% (eq)(inverse(inverse(A)),inverse(identity double_divide (identity multiply A)))
% -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 448
% Current number of rules: 260
% New rule produced :
% [281]
% (eq)(inverse(inverse(A)),inverse(identity double_divide identity) multiply A)
% -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 447
% Current number of rules: 261
% New rule produced :
% [282]
% (eq)(inverse(identity double_divide inverse(inverse(A))),identity multiply A)
% -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 445
% Current number of rules: 262
% New rule produced :
% [283]
% (eq)(inverse(inverse(identity double_divide inverse(A))),identity multiply A)
% -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 444
% Current number of rules: 263
% New rule produced :
% [284]
% (eq)(inverse(inverse(A)),identity double_divide inverse(identity multiply A))
% -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 443
% Current number of rules: 264
% New rule produced :
% [285]
% (eq)(inverse(inverse(A)),(identity double_divide inverse(identity)) multiply A)
% -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 442
% Current number of rules: 265
% New rule produced :
% [286]
% (eq)(identity double_divide inverse(inverse(inverse(A))),identity multiply A)
% -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 441
% Current number of rules: 266
% New rule produced :
% [287]
% (eq)(inverse(inverse(A)),inverse(inverse(inverse(identity))) multiply A) ->
% (false)
% Current number of equations to process: 30
% Current number of ordered equations: 440
% Current number of rules: 267
% New rule produced :
% [288]
% (eq)(inverse(inverse(A)),(inverse(B) double_divide B) multiply A) -> (false)
% Rule
% [285]
% (eq)(inverse(inverse(A)),(identity double_divide inverse(identity)) multiply A)
% -> (false) collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 439
% Current number of rules: 267
% New rule produced :
% [289]
% A <-> inverse(identity double_divide (identity double_divide inverse(A)))
% Current number of equations to process: 30
% Current number of ordered equations: 438
% Current number of rules: 268
% New rule produced :
% [290] A <-> inverse(identity double_divide identity) double_divide inverse(A)
% Current number of equations to process: 30
% Current number of ordered equations: 437
% Current number of rules: 269
% New rule produced :
% [291]
% inverse(identity double_divide (identity double_divide inverse(A))) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 436
% Current number of rules: 270
% New rule produced :
% [292] inverse(identity double_divide identity) double_divide inverse(A) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 435
% Current number of rules: 271
% New rule produced :
% [293]
% A <-> identity double_divide (identity double_divide inverse(inverse(A)))
% Current number of equations to process: 30
% Current number of ordered equations: 434
% Current number of rules: 272
% New rule produced :
% [294] A <-> identity double_divide inverse(identity double_divide inverse(A))
% Current number of equations to process: 30
% Current number of ordered equations: 433
% Current number of rules: 273
% New rule produced :
% [295]
% A <-> inverse(A) double_divide (identity double_divide inverse(identity))
% Current number of equations to process: 30
% Current number of ordered equations: 432
% Current number of rules: 274
% New rule produced :
% [296]
% identity double_divide (identity double_divide inverse(inverse(A))) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 431
% Current number of rules: 275
% New rule produced :
% [297] identity double_divide inverse(identity double_divide inverse(A)) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 430
% Current number of rules: 276
% New rule produced :
% [298]
% inverse(A) double_divide (identity double_divide inverse(identity)) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 429
% Current number of rules: 277
% New rule produced :
% [299] A <-> inverse(inverse(inverse(identity))) double_divide inverse(A)
% Current number of equations to process: 30
% Current number of ordered equations: 428
% Current number of rules: 278
% New rule produced :
% [300] inverse(inverse(inverse(identity))) double_divide inverse(A) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 427
% Current number of rules: 279
% New rule produced :
% [301] A <-> inverse(A) double_divide (inverse(B) double_divide B)
% Rule
% [295]
% A <-> inverse(A) double_divide (identity double_divide inverse(identity))
% collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 426
% Current number of rules: 279
% New rule produced :
% [302] inverse(A) double_divide (inverse(B) double_divide B) <-> A
% Rule
% [298]
% inverse(A) double_divide (identity double_divide inverse(identity)) <-> A
% collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 425
% Current number of rules: 279
% New rule produced :
% [303] identity <-> inverse(identity double_divide inverse(A)) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 423
% Current number of rules: 280
% New rule produced :
% [304] inverse(identity double_divide inverse(A)) double_divide A <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 421
% Current number of rules: 281
% New rule produced :
% [305] identity <-> identity double_divide inverse(inverse(A) double_divide A)
% Current number of equations to process: 30
% Current number of ordered equations: 420
% Current number of rules: 282
% New rule produced :
% [306]
% identity <-> (identity double_divide inverse(inverse(A))) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 419
% Current number of rules: 283
% New rule produced :
% [307] identity double_divide inverse(inverse(A) double_divide A) <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 418
% Current number of rules: 284
% New rule produced :
% [308]
% (identity double_divide inverse(inverse(A))) double_divide A <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 417
% Current number of rules: 285
% New rule produced :
% [309]
% (A double_divide B) double_divide B <-> (A double_divide C) double_divide C
% Current number of equations to process: 30
% Current number of ordered equations: 415
% Current number of rules: 286
% New rule produced :
% [310] A <-> inverse((inverse(A) double_divide B) double_divide B)
% Rule
% [289]
% A <-> inverse(identity double_divide (identity double_divide inverse(A)))
% collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 413
% Current number of rules: 286
% New rule produced :
% [311] A <-> (inverse(inverse(A)) double_divide B) double_divide B
% Rule
% [293]
% A <-> identity double_divide (identity double_divide inverse(inverse(A)))
% collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 412
% Current number of rules: 286
% New rule produced :
% [312] inverse((inverse(A) double_divide B) double_divide B) <-> A
% Rule
% [291]
% inverse(identity double_divide (identity double_divide inverse(A))) <-> A
% collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 410
% Current number of rules: 286
% New rule produced :
% [313] (inverse(inverse(A)) double_divide B) double_divide B <-> A
% Rule
% [296]
% identity double_divide (identity double_divide inverse(inverse(A))) <-> A
% collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 409
% Current number of rules: 286
% New rule produced :
% [314] A <-> ((identity multiply A) double_divide B) double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 408
% Current number of rules: 287
% New rule produced :
% [315] B <-> ((identity double_divide A) double_divide A) multiply B
% Current number of equations to process: 30
% Current number of ordered equations: 407
% Current number of rules: 288
% New rule produced :
% [316] ((identity double_divide A) double_divide A) multiply B <-> B
% Current number of equations to process: 30
% Current number of ordered equations: 406
% Current number of rules: 289
% New rule produced :
% [317] ((identity multiply A) double_divide B) double_divide B <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 405
% Current number of rules: 290
% New rule produced :
% [318]
% identity <->
% identity double_divide ((identity double_divide A) double_divide A)
% Current number of equations to process: 30
% Current number of ordered equations: 404
% Current number of rules: 291
% New rule produced :
% [319]
% identity <->
% ((identity double_divide identity) double_divide A) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 403
% Current number of rules: 292
% New rule produced :
% [320]
% identity double_divide ((identity double_divide A) double_divide A) <->
% identity
% Current number of equations to process: 30
% Current number of ordered equations: 402
% Current number of rules: 293
% New rule produced :
% [321]
% ((identity double_divide identity) double_divide A) double_divide A <->
% identity
% Current number of equations to process: 30
% Current number of ordered equations: 401
% Current number of rules: 294
% New rule produced :
% [322]
% identity double_divide A <-> (inverse(A) double_divide B) double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 400
% Current number of rules: 295
% New rule produced :
% [323]
% (inverse(A) double_divide B) double_divide B <-> identity double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 399
% Current number of rules: 296
% New rule produced :
% [324] inverse(inverse(inverse(A double_divide B))) <-> A multiply B
% Current number of equations to process: 30
% Current number of ordered equations: 398
% Current number of rules: 297
% New rule produced :
% [325] A multiply B <-> inverse(inverse(inverse(A double_divide B)))
% Current number of equations to process: 30
% Current number of ordered equations: 397
% Current number of rules: 298
% New rule produced :
% [326] inverse(identity multiply (A double_divide B)) <-> A multiply B
% Current number of equations to process: 30
% Current number of ordered equations: 396
% Current number of rules: 299
% New rule produced :
% [327] A multiply B <-> inverse(identity multiply (A double_divide B))
% Current number of equations to process: 30
% Current number of ordered equations: 395
% Current number of rules: 300
% New rule produced :
% [328] A multiply B <-> identity multiply inverse(A double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 394
% Current number of rules: 301
% New rule produced :
% [329] identity multiply inverse(A double_divide B) <-> A multiply B
% Current number of equations to process: 30
% Current number of ordered equations: 393
% Current number of rules: 302
% New rule produced :
% [330] identity <-> (A multiply B) double_divide (A double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 391
% Current number of rules: 303
% New rule produced :
% [331] (A multiply B) double_divide (A double_divide B) <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 389
% Current number of rules: 304
% New rule produced :
% [332] A <-> inverse(inverse((A double_divide B) double_divide B))
% Rule
% [254]
% A <-> inverse(inverse(identity double_divide (identity double_divide A)))
% collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 388
% Current number of rules: 304
% New rule produced :
% [333] A <-> inverse(inverse(A double_divide B)) double_divide B
% Rule
% [260] A <-> identity double_divide inverse(inverse(identity double_divide A))
% collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 387
% Current number of rules: 304
% New rule produced :
% [334] inverse(inverse((A double_divide B) double_divide B)) <-> A
% Rule
% [256]
% inverse(inverse(identity double_divide (identity double_divide A))) <-> A
% collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 386
% Current number of rules: 304
% New rule produced :
% [335] inverse(inverse(A double_divide B)) double_divide B <-> A
% Rule
% [263] identity double_divide inverse(inverse(identity double_divide A)) <-> A
% collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 385
% Current number of rules: 304
% New rule produced :
% [336] A <-> identity multiply ((A double_divide B) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 384
% Current number of rules: 305
% New rule produced :
% [337] A <-> (identity multiply (A double_divide B)) double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 383
% Current number of rules: 306
% New rule produced :
% [338] identity multiply ((A double_divide B) double_divide B) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 382
% Current number of rules: 307
% New rule produced :
% [339] (identity multiply (A double_divide B)) double_divide B <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 381
% Current number of rules: 308
% New rule produced :
% [340]
% inverse(inverse(A multiply B)) <-> identity double_divide (A double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 380
% Current number of rules: 309
% New rule produced :
% [341]
% identity double_divide (A double_divide B) <-> inverse(inverse(A multiply B))
% Current number of equations to process: 30
% Current number of ordered equations: 379
% Current number of rules: 310
% New rule produced :
% [342]
% identity multiply (A multiply B) <->
% identity double_divide (A double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 378
% Current number of rules: 311
% New rule produced :
% [343]
% identity double_divide (A double_divide B) <->
% identity multiply (A multiply B)
% Current number of equations to process: 30
% Current number of ordered equations: 377
% Current number of rules: 312
% New rule produced :
% [344]
% identity multiply (A double_divide B) <->
% identity double_divide (A multiply B)
% Current number of equations to process: 30
% Current number of ordered equations: 376
% Current number of rules: 313
% New rule produced :
% [345]
% identity double_divide (A multiply B) <->
% identity multiply (A double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 375
% Current number of rules: 314
% New rule produced :
% [346] A multiply B <-> inverse(identity) double_divide (A double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 374
% Current number of rules: 315
% New rule produced :
% [347] inverse(identity) double_divide (A double_divide B) <-> A multiply B
% Current number of equations to process: 30
% Current number of ordered equations: 373
% Current number of rules: 316
% New rule produced :
% [348]
% inverse(A) <-> ((identity double_divide A) double_divide B) double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 372
% Current number of rules: 317
% New rule produced :
% [349]
% inverse(B) <-> ((identity double_divide A) double_divide A) double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 371
% Current number of rules: 318
% New rule produced :
% [350]
% ((identity double_divide A) double_divide B) double_divide B <-> inverse(A)
% Current number of equations to process: 30
% Current number of ordered equations: 370
% Current number of rules: 319
% New rule produced :
% [351]
% ((identity double_divide A) double_divide A) double_divide B <-> inverse(B)
% Current number of equations to process: 30
% Current number of ordered equations: 369
% Current number of rules: 320
% New rule produced :
% [352]
% inverse(A double_divide B) <-> identity double_divide inverse(A multiply B)
% Current number of equations to process: 30
% Current number of ordered equations: 368
% Current number of rules: 321
% New rule produced :
% [353]
% identity double_divide inverse(A multiply B) <-> inverse(A double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 367
% Current number of rules: 322
% New rule produced :
% [354] inverse(B) <-> inverse(A double_divide B) double_divide inverse(A)
% Current number of equations to process: 30
% Current number of ordered equations: 366
% Current number of rules: 323
% New rule produced :
% [355] inverse(A double_divide B) double_divide inverse(A) <-> inverse(B)
% Current number of equations to process: 30
% Current number of ordered equations: 365
% Current number of rules: 324
% New rule produced :
% [356]
% A <-> inverse(((identity double_divide A) double_divide B) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 363
% Current number of rules: 325
% New rule produced :
% [357]
% A <-> (inverse(identity double_divide A) double_divide B) double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 362
% Current number of rules: 326
% New rule produced :
% [358]
% B <-> inverse(((identity double_divide A) double_divide A) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 361
% Current number of rules: 327
% New rule produced :
% [359]
% inverse(((identity double_divide A) double_divide B) double_divide B) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 359
% Current number of rules: 328
% New rule produced :
% [360]
% inverse(((identity double_divide A) double_divide A) double_divide B) <-> B
% Current number of equations to process: 30
% Current number of ordered equations: 358
% Current number of rules: 329
% New rule produced :
% [361]
% (inverse(identity double_divide A) double_divide B) double_divide B <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 357
% Current number of rules: 330
% New rule produced :
% [362]
% identity <->
% inverse(inverse(inverse((identity double_divide A) double_divide A)))
% Current number of equations to process: 30
% Current number of ordered equations: 356
% Current number of rules: 331
% New rule produced :
% [363]
% identity <->
% inverse(inverse((inverse(identity) double_divide A) double_divide A))
% Current number of equations to process: 30
% Current number of ordered equations: 355
% Current number of rules: 332
% New rule produced :
% [364]
% identity <->
% inverse((inverse(inverse(identity)) double_divide A) double_divide A)
% Current number of equations to process: 30
% Current number of ordered equations: 354
% Current number of rules: 333
% New rule produced :
% [365]
% identity <->
% (inverse(inverse(inverse(identity))) double_divide A) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 353
% Current number of rules: 334
% New rule produced :
% [366]
% inverse(inverse(inverse((identity double_divide A) double_divide A))) <->
% identity
% Current number of equations to process: 30
% Current number of ordered equations: 352
% Current number of rules: 335
% New rule produced :
% [367]
% inverse(inverse((inverse(identity) double_divide A) double_divide A)) <->
% identity
% Current number of equations to process: 30
% Current number of ordered equations: 351
% Current number of rules: 336
% New rule produced :
% [368]
% inverse((inverse(inverse(identity)) double_divide A) double_divide A) <->
% identity
% Current number of equations to process: 30
% Current number of ordered equations: 350
% Current number of rules: 337
% New rule produced :
% [369]
% (inverse(inverse(inverse(identity))) double_divide A) double_divide A <->
% identity
% Current number of equations to process: 30
% Current number of ordered equations: 349
% Current number of rules: 338
% New rule produced :
% [370]
% (eq)(inverse(inverse(A)),((identity multiply A) double_divide B) double_divide B)
% -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 348
% Current number of rules: 339
% New rule produced :
% [371]
% (eq)(inverse(inverse(A)),((identity double_divide B) double_divide B) multiply A)
% -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 347
% Current number of rules: 340
% New rule produced :
% [372]
% (eq)((inverse(inverse(A)) double_divide B) double_divide B,identity multiply A)
% -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 346
% Current number of rules: 341
% New rule produced :
% [373]
% (eq)(inverse((inverse(A) double_divide B) double_divide B),identity multiply A)
% -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 345
% Current number of rules: 342
% New rule produced :
% [374]
% A <-> identity double_divide ((inverse(A) double_divide B) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 344
% Current number of rules: 343
% New rule produced :
% [375]
% A <-> inverse(A) double_divide ((identity double_divide B) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 343
% Current number of rules: 344
% New rule produced :
% [376]
% A <-> ((identity double_divide inverse(A)) double_divide B) double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 342
% Current number of rules: 345
% New rule produced :
% [377]
% identity double_divide ((inverse(A) double_divide B) double_divide B) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 341
% Current number of rules: 346
% New rule produced :
% [378]
% inverse(A) double_divide ((identity double_divide B) double_divide B) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 340
% Current number of rules: 347
% New rule produced :
% [379]
% ((identity double_divide inverse(A)) double_divide B) double_divide B <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 339
% Current number of rules: 348
% New rule produced :
% [380]
% identity <-> ((inverse(A) double_divide A) double_divide B) double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 338
% Current number of rules: 349
% New rule produced :
% [381]
% identity <-> ((inverse(A) double_divide B) double_divide B) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 337
% Current number of rules: 350
% New rule produced :
% [382]
% ((inverse(A) double_divide A) double_divide B) double_divide B <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 336
% Current number of rules: 351
% New rule produced :
% [383]
% ((inverse(A) double_divide B) double_divide B) double_divide A <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 335
% Current number of rules: 352
% New rule produced :
% [384]
% inverse(inverse(identity double_divide (A double_divide B))) <-> A multiply B
% Current number of equations to process: 30
% Current number of ordered equations: 333
% Current number of rules: 353
% New rule produced :
% [385]
% A multiply B <-> inverse(inverse(identity double_divide (A double_divide B)))
% Current number of equations to process: 30
% Current number of ordered equations: 331
% Current number of rules: 354
% New rule produced :
% [386]
% inverse(identity double_divide inverse(A double_divide B)) <-> A multiply B
% Current number of equations to process: 30
% Current number of ordered equations: 330
% Current number of rules: 355
% New rule produced :
% [387]
% A multiply B <-> inverse(identity double_divide inverse(A double_divide B))
% Current number of equations to process: 30
% Current number of ordered equations: 329
% Current number of rules: 356
% New rule produced :
% [388]
% A multiply B <-> identity double_divide inverse(inverse(A double_divide B))
% Current number of equations to process: 30
% Current number of ordered equations: 327
% Current number of rules: 357
% New rule produced :
% [389]
% identity double_divide inverse(inverse(A double_divide B)) <-> A multiply B
% Current number of equations to process: 30
% Current number of ordered equations: 325
% 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: 30
% Current number of ordered equations: 323
% Current number of rules: 359
% New rule produced :
% [391]
% A <-> inverse(identity double_divide (A double_divide B)) double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 322
% 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: 30
% Current number of ordered equations: 320
% Current number of rules: 361
% New rule produced :
% [393]
% inverse(identity double_divide (A double_divide B)) double_divide B <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 319
% Current number of rules: 362
% New rule produced :
% [394]
% A <-> identity double_divide inverse((A double_divide B) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 318
% Current number of rules: 363
% New rule produced :
% [395]
% A <-> (identity double_divide inverse(A double_divide B)) double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 317
% Current number of rules: 364
% New rule produced :
% [396]
% identity double_divide inverse((A double_divide B) double_divide B) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 316
% Current number of rules: 365
% New rule produced :
% [397]
% (identity double_divide inverse(A double_divide B)) double_divide B <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 315
% Current number of rules: 366
% New rule produced :
% [398]
% inverse(identity double_divide (A multiply B)) <->
% identity double_divide (A double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 314
% Current number of rules: 367
% New rule produced :
% [399]
% identity double_divide (A double_divide B) <->
% inverse(identity double_divide (A multiply B))
% Current number of equations to process: 30
% Current number of ordered equations: 313
% Current number of rules: 368
% New rule produced :
% [400]
% A multiply B <-> inverse(inverse(identity)) double_divide (A double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 312
% Current number of rules: 369
% New rule produced :
% [401]
% inverse(inverse(identity)) double_divide (A double_divide B) <-> A multiply B
% Current number of equations to process: 30
% Current number of ordered equations: 311
% Current number of rules: 370
% New rule produced :
% [402]
% A multiply B <->
% identity multiply (identity double_divide (A double_divide B))
% Current number of equations to process: 30
% Current number of ordered equations: 310
% Current number of rules: 371
% New rule produced :
% [403]
% A multiply B <->
% identity double_divide (identity multiply (A double_divide B))
% Current number of equations to process: 30
% Current number of ordered equations: 309
% Current number of rules: 372
% New rule produced :
% [404]
% A multiply B <->
% (identity multiply identity) double_divide (A double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 308
% Current number of rules: 373
% New rule produced :
% [405]
% identity multiply (identity double_divide (A double_divide B)) <->
% A multiply B
% Current number of equations to process: 30
% Current number of ordered equations: 307
% Current number of rules: 374
% New rule produced :
% [406]
% identity double_divide (identity multiply (A double_divide B)) <->
% A multiply B
% Current number of equations to process: 30
% Current number of ordered equations: 306
% Current number of rules: 375
% New rule produced :
% [407]
% (identity multiply identity) double_divide (A double_divide B) <->
% A multiply B
% Current number of equations to process: 30
% Current number of ordered equations: 305
% Current number of rules: 376
% New rule produced :
% [408]
% A multiply B <->
% (identity double_divide identity) double_divide (A double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 304
% Current number of rules: 377
% New rule produced :
% [409]
% (identity double_divide identity) double_divide (A double_divide B) <->
% A multiply B
% Current number of equations to process: 30
% Current number of ordered equations: 303
% Current number of rules: 378
% New rule produced :
% [410] A <-> inverse(inverse(A) double_divide inverse(B)) double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 302
% Current number of rules: 379
% New rule produced :
% [411] B <-> inverse(inverse(inverse(A) double_divide B) double_divide A)
% Current number of equations to process: 30
% Current number of ordered equations: 300
% Current number of rules: 380
% New rule produced :
% [412] inverse(inverse(inverse(A) double_divide B) double_divide A) <-> B
% Current number of equations to process: 30
% Current number of ordered equations: 298
% Current number of rules: 381
% New rule produced :
% [413] inverse(inverse(A) double_divide inverse(B)) double_divide B <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 297
% Current number of rules: 382
% New rule produced :
% [414]
% identity double_divide A <->
% inverse(inverse(B) double_divide A) double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 296
% Current number of rules: 383
% New rule produced :
% [415]
% inverse(inverse(B) double_divide A) double_divide B <->
% identity double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 295
% Current number of rules: 384
% New rule produced :
% [416] inverse(inverse(A)) <-> inverse(inverse(B) double_divide A) multiply B
% Current number of equations to process: 30
% Current number of ordered equations: 294
% Current number of rules: 385
% New rule produced :
% [417] inverse(inverse(B) double_divide A) multiply B <-> inverse(inverse(A))
% Current number of equations to process: 30
% Current number of ordered equations: 293
% Current number of rules: 386
% New rule produced :
% [418] A <-> inverse(inverse(A) double_divide B) double_divide inverse(B)
% Current number of equations to process: 30
% Current number of ordered equations: 292
% Current number of rules: 387
% New rule produced :
% [419] inverse(inverse(A) double_divide B) double_divide inverse(B) <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 291
% Current number of rules: 388
% New rule produced :
% [420]
% B <-> inverse(A) double_divide ((identity double_divide A) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 290
% Current number of rules: 389
% New rule produced :
% [421]
% inverse(A) double_divide ((identity double_divide A) double_divide B) <-> B
% Current number of equations to process: 30
% Current number of ordered equations: 289
% Current number of rules: 390
% New rule produced :
% [422]
% inverse(A double_divide B) <->
% ((A multiply B) double_divide C) double_divide C
% Current number of equations to process: 30
% Current number of ordered equations: 288
% Current number of rules: 391
% New rule produced :
% [423]
% ((A multiply B) double_divide C) double_divide C <->
% inverse(A double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 287
% Current number of rules: 392
% New rule produced :
% [424]
% inverse(inverse(inverse(A))) <->
% inverse(inverse(B) double_divide A) double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 286
% Current number of rules: 393
% New rule produced :
% [425]
% inverse(inverse(B) double_divide A) double_divide B <->
% inverse(inverse(inverse(A)))
% Current number of equations to process: 30
% Current number of ordered equations: 285
% Current number of rules: 394
% New rule produced :
% [426]
% identity multiply inverse(A) <->
% inverse(inverse(B) double_divide A) double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 284
% Current number of rules: 395
% New rule produced :
% [427]
% inverse(inverse(B) double_divide A) double_divide B <->
% identity multiply inverse(A)
% Current number of equations to process: 30
% Current number of ordered equations: 283
% Current number of rules: 396
% New rule produced :
% [428]
% inverse(B) <-> inverse(inverse(A)) double_divide (inverse(B) double_divide A)
% Current number of equations to process: 30
% Current number of ordered equations: 282
% Current number of rules: 397
% New rule produced :
% [429]
% inverse(inverse(A)) double_divide (inverse(B) double_divide A) <-> inverse(B)
% Current number of equations to process: 30
% Current number of ordered equations: 281
% Current number of rules: 398
% New rule produced :
% [430]
% inverse(B) <->
% inverse((identity double_divide A) double_divide B) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 280
% Current number of rules: 399
% New rule produced :
% [431]
% inverse(B) <->
% (identity double_divide (inverse(A) double_divide B)) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 279
% Current number of rules: 400
% New rule produced :
% [432]
% inverse((identity double_divide A) double_divide B) double_divide A <->
% inverse(B)
% Current number of equations to process: 30
% Current number of ordered equations: 278
% Current number of rules: 401
% New rule produced :
% [433]
% (identity double_divide (inverse(A) double_divide B)) double_divide A <->
% inverse(B)
% Current number of equations to process: 30
% Current number of ordered equations: 277
% Current number of rules: 402
% New rule produced :
% [434]
% inverse(B) <->
% inverse(A double_divide B) double_divide (identity double_divide A)
% Current number of equations to process: 30
% Current number of ordered equations: 276
% Current number of rules: 403
% New rule produced :
% [435]
% inverse(A double_divide B) double_divide (identity double_divide A) <->
% inverse(B)
% Current number of equations to process: 30
% Current number of ordered equations: 275
% Current number of rules: 404
% New rule produced :
% [436]
% inverse(A) <->
% inverse(inverse(identity)) double_divide inverse(identity double_divide A)
% Current number of equations to process: 30
% Current number of ordered equations: 274
% Current number of rules: 405
% New rule produced :
% [437]
% inverse(inverse(identity)) double_divide inverse(identity double_divide A)
% <-> inverse(A)
% Current number of equations to process: 30
% Current number of ordered equations: 273
% Current number of rules: 406
% New rule produced :
% [438]
% identity double_divide inverse(A) <->
% inverse(inverse(B) double_divide A) multiply B
% Current number of equations to process: 30
% Current number of ordered equations: 272
% Current number of rules: 407
% New rule produced :
% [439]
% inverse(inverse(B) double_divide A) multiply B <->
% identity double_divide inverse(A)
% Current number of equations to process: 30
% Current number of ordered equations: 271
% Current number of rules: 408
% New rule produced :
% [440]
% inverse(((A double_divide B) double_divide C) double_divide C) <->
% A multiply B
% Current number of equations to process: 30
% Current number of ordered equations: 269
% Current number of rules: 409
% New rule produced :
% [441]
% A multiply B <->
% inverse(((A double_divide B) double_divide C) double_divide C)
% Current number of equations to process: 30
% Current number of ordered equations: 267
% Current number of rules: 410
% New rule produced :
% [442]
% A multiply B <-> (inverse(A double_divide B) double_divide C) double_divide C
% Current number of equations to process: 30
% Current number of ordered equations: 265
% Current number of rules: 411
% New rule produced :
% [443]
% (inverse(A double_divide B) double_divide C) double_divide C <-> A multiply B
% Current number of equations to process: 30
% Current number of ordered equations: 263
% Current number of rules: 412
% New rule produced :
% [444]
% A <-> (((A double_divide B) double_divide C) double_divide C) double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 262
% Current number of rules: 413
% New rule produced :
% [445]
% A <-> (((A double_divide B) double_divide B) double_divide C) double_divide C
% Current number of equations to process: 30
% Current number of ordered equations: 261
% Current number of rules: 414
% New rule produced :
% [446]
% (((A double_divide B) double_divide C) double_divide C) double_divide B <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 260
% Current number of rules: 415
% New rule produced :
% [447]
% (((A double_divide B) double_divide B) double_divide C) double_divide C <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 259
% Current number of rules: 416
% New rule produced :
% [448]
% identity double_divide (A double_divide B) <->
% ((A multiply B) double_divide C) double_divide C
% Current number of equations to process: 30
% Current number of ordered equations: 258
% Current number of rules: 417
% New rule produced :
% [449]
% ((A multiply B) double_divide C) double_divide C <->
% identity double_divide (A double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 257
% Current number of rules: 418
% New rule produced :
% [450]
% A multiply B <->
% inverse(identity double_divide identity) double_divide (A double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 256
% Current number of rules: 419
% New rule produced :
% [451]
% inverse(identity double_divide identity) double_divide (A double_divide B)
% <-> A multiply B
% Current number of equations to process: 30
% Current number of ordered equations: 255
% Current number of rules: 420
% New rule produced :
% [452]
% A multiply B <->
% identity double_divide inverse(identity double_divide (A double_divide B))
% Current number of equations to process: 30
% Current number of ordered equations: 254
% Current number of rules: 421
% New rule produced :
% [453]
% A multiply B <->
% (identity double_divide inverse(identity)) double_divide (A double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 253
% Current number of rules: 422
% New rule produced :
% [454]
% identity double_divide inverse(identity double_divide (A double_divide B))
% <-> A multiply B
% Current number of equations to process: 30
% Current number of ordered equations: 252
% Current number of rules: 423
% New rule produced :
% [455]
% (identity double_divide inverse(identity)) double_divide (A double_divide B)
% <-> A multiply B
% Current number of equations to process: 30
% Current number of ordered equations: 251
% Current number of rules: 424
% New rule produced :
% [456]
% A multiply B <->
% inverse(inverse(inverse(identity))) double_divide (A double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 250
% Current number of rules: 425
% New rule produced :
% [457]
% inverse(inverse(inverse(identity))) double_divide (A double_divide B) <->
% A multiply B
% Current number of equations to process: 30
% Current number of ordered equations: 249
% Current number of rules: 426
% New rule produced :
% [458]
% B multiply C <->
% (inverse(A) double_divide A) double_divide (B double_divide C)
% Rule
% [453]
% A multiply B <->
% (identity double_divide inverse(identity)) double_divide (A double_divide B)
% collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 248
% Current number of rules: 426
% New rule produced :
% [459]
% (inverse(A) double_divide A) double_divide (B double_divide C) <->
% B multiply C
% Rule
% [455]
% (identity double_divide inverse(identity)) double_divide (A double_divide B)
% <-> A multiply B collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 247
% Current number of rules: 426
% New rule produced :
% [460]
% inverse(identity double_divide inverse(A)) <->
% inverse(inverse(B) double_divide A) double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 246
% Current number of rules: 427
% New rule produced :
% [461]
% inverse(inverse(B) double_divide A) double_divide B <->
% inverse(identity double_divide inverse(A))
% Current number of equations to process: 30
% Current number of ordered equations: 245
% Current number of rules: 428
% New rule produced :
% [462]
% identity double_divide inverse(inverse(A)) <->
% inverse(inverse(B) double_divide A) double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 244
% Current number of rules: 429
% New rule produced :
% [463]
% inverse(inverse(B) double_divide A) double_divide B <->
% identity double_divide inverse(inverse(A))
% Current number of equations to process: 30
% Current number of ordered equations: 243
% Current number of rules: 430
% New rule produced :
% [464]
% A <->
% inverse(inverse(B) double_divide (identity double_divide A)) double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 242
% Current number of rules: 431
% New rule produced :
% [465]
% inverse(inverse(B) double_divide (identity double_divide A)) double_divide B
% <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 241
% Current number of rules: 432
% New rule produced :
% [466]
% identity <->
% inverse(inverse(inverse(identity double_divide inverse(A)) double_divide A))
% Current number of equations to process: 30
% Current number of ordered equations: 240
% Current number of rules: 433
% New rule produced :
% [467]
% identity <->
% inverse(inverse(inverse(identity) double_divide inverse(A)) double_divide A)
% Current number of equations to process: 30
% Current number of ordered equations: 239
% Current number of rules: 434
% New rule produced :
% [468]
% identity <->
% inverse(inverse(inverse(identity)) double_divide inverse(A)) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 238
% Current number of rules: 435
% New rule produced :
% [469]
% inverse(inverse(inverse(identity double_divide inverse(A)) double_divide A))
% <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 237
% Current number of rules: 436
% New rule produced :
% [470]
% inverse(inverse(inverse(identity) double_divide inverse(A)) double_divide A)
% <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 236
% Current number of rules: 437
% New rule produced :
% [471]
% inverse(inverse(inverse(identity)) double_divide inverse(A)) double_divide A
% <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 235
% Current number of rules: 438
% New rule produced :
% [472]
% (eq)(inverse(inverse(A) double_divide inverse(B)) double_divide B,identity multiply A)
% -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 234
% Current number of rules: 439
% New rule produced :
% [473]
% (eq)(inverse(inverse(inverse(A) double_divide B) double_divide A),identity multiply B)
% -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 233
% Current number of rules: 440
% New rule produced :
% [474]
% B <->
% identity double_divide (inverse(inverse(A) double_divide B) double_divide A)
% Current number of equations to process: 30
% Current number of ordered equations: 231
% Current number of rules: 441
% New rule produced :
% [475]
% identity double_divide (inverse(inverse(A) double_divide B) double_divide A)
% <-> B
% Current number of equations to process: 30
% Current number of ordered equations: 229
% Current number of rules: 442
% New rule produced :
% [476]
% identity <->
% (inverse(inverse(A) double_divide B) double_divide A) double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 228
% Current number of rules: 443
% New rule produced :
% [477]
% (inverse(inverse(A) double_divide B) double_divide A) double_divide B <->
% identity
% Current number of equations to process: 30
% Current number of ordered equations: 227
% Current number of rules: 444
% New rule produced :
% [478]
% inverse(inverse(inverse(inverse(B)) double_divide A)) <->
% inverse(inverse(A)) double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 226
% Current number of rules: 445
% New rule produced :
% [479]
% inverse(inverse(A)) double_divide B <->
% inverse(inverse(inverse(inverse(B)) double_divide A))
% Current number of equations to process: 30
% Current number of ordered equations: 225
% Current number of rules: 446
% New rule produced :
% [480]
% A <->
% inverse(identity double_divide (inverse(identity) double_divide (identity double_divide A)))
% Current number of equations to process: 30
% Current number of ordered equations: 224
% Current number of rules: 447
% New rule produced :
% [481]
% inverse(identity double_divide (inverse(identity) double_divide (identity double_divide A)))
% <-> A
% Current number of equations to process: 30
% Current number of ordered equations: 223
% Current number of rules: 448
% New rule produced :
% [482]
% inverse((inverse(A) double_divide B) double_divide C) <->
% (A double_divide C) double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 222
% Current number of rules: 449
% New rule produced :
% [483]
% (A double_divide C) double_divide B <->
% inverse((inverse(A) double_divide B) double_divide C)
% Current number of equations to process: 30
% Current number of ordered equations: 221
% Current number of rules: 450
% New rule produced :
% [484]
% B <->
% inverse(inverse(A) multiply ((identity double_divide A) double_divide B))
% Current number of equations to process: 30
% Current number of ordered equations: 220
% Current number of rules: 451
% New rule produced :
% [485]
% identity <->
% inverse((inverse(A) double_divide (A multiply B)) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 219
% Current number of rules: 452
% New rule produced :
% [486]
% inverse(inverse(A) multiply ((identity double_divide A) double_divide B)) <->
% B
% Current number of equations to process: 30
% Current number of ordered equations: 218
% Current number of rules: 453
% New rule produced :
% [487]
% inverse((inverse(A) double_divide (A multiply B)) double_divide B) <->
% identity
% Current number of equations to process: 30
% Current number of ordered equations: 217
% Current number of rules: 454
% New rule produced :
% [488]
% (inverse(A) double_divide B) double_divide B <->
% inverse(inverse(C) double_divide A) double_divide C
% Current number of equations to process: 30
% Current number of ordered equations: 216
% Current number of rules: 455
% New rule produced :
% [489]
% inverse(inverse(C) double_divide A) double_divide C <->
% (inverse(A) double_divide B) double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 215
% Current number of rules: 456
% New rule produced :
% [490]
% inverse(B) <->
% inverse(inverse(inverse(inverse(A))) double_divide B) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 214
% Current number of rules: 457
% New rule produced :
% [491]
% inverse(B) <->
% inverse(inverse(inverse(inverse(A) double_divide B))) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 213
% Current number of rules: 458
% New rule produced :
% [492]
% inverse(inverse(inverse(inverse(A))) double_divide B) double_divide A <->
% inverse(B)
% Current number of equations to process: 30
% Current number of ordered equations: 212
% Current number of rules: 459
% New rule produced :
% [493]
% inverse(inverse(inverse(inverse(A) double_divide B))) double_divide A <->
% inverse(B)
% Current number of equations to process: 30
% Current number of ordered equations: 211
% Current number of rules: 460
% New rule produced :
% [494]
% inverse(B) <->
% identity multiply (inverse(inverse(A) double_divide B) double_divide A)
% Current number of equations to process: 30
% Current number of ordered equations: 210
% Current number of rules: 461
% New rule produced :
% [495]
% inverse(B) <->
% (identity multiply inverse(inverse(A) double_divide B)) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 209
% Current number of rules: 462
% New rule produced :
% [496]
% inverse(B) <->
% inverse((identity multiply inverse(A)) double_divide B) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 208
% Current number of rules: 463
% New rule produced :
% [497]
% inverse(B) <->
% inverse(identity multiply (inverse(A) double_divide B)) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 207
% Current number of rules: 464
% New rule produced :
% [498]
% identity multiply (inverse(inverse(A) double_divide B) double_divide A) <->
% inverse(B)
% Current number of equations to process: 30
% Current number of ordered equations: 206
% Current number of rules: 465
% New rule produced :
% [499]
% (identity multiply inverse(inverse(A) double_divide B)) double_divide A <->
% inverse(B)
% Current number of equations to process: 30
% Current number of ordered equations: 205
% Current number of rules: 466
% New rule produced :
% [500]
% inverse((identity multiply inverse(A)) double_divide B) double_divide A <->
% inverse(B)
% Current number of equations to process: 30
% Current number of ordered equations: 204
% Current number of rules: 467
% New rule produced :
% [501]
% inverse(identity multiply (inverse(A) double_divide B)) double_divide A <->
% inverse(B)
% Current number of equations to process: 30
% Current number of ordered equations: 203
% Current number of rules: 468
% New rule produced :
% [502]
% A multiply B <->
% identity double_divide (((A double_divide B) double_divide C) double_divide C)
% Current number of equations to process: 30
% Current number of ordered equations: 202
% Current number of rules: 469
% New rule produced :
% [503]
% A multiply B <->
% ((identity double_divide (A double_divide B)) double_divide C) double_divide C
% Current number of equations to process: 30
% Current number of ordered equations: 201
% Current number of rules: 470
% New rule produced :
% [504]
% B multiply C <->
% ((identity double_divide A) double_divide A) double_divide (B double_divide C)
% Current number of equations to process: 30
% Current number of ordered equations: 200
% Current number of rules: 471
% New rule produced :
% [505]
% identity double_divide (((A double_divide B) double_divide C) double_divide C)
% <-> A multiply B
% Current number of equations to process: 30
% Current number of ordered equations: 199
% Current number of rules: 472
% New rule produced :
% [506]
% ((identity double_divide A) double_divide A) double_divide (B double_divide C)
% <-> B multiply C
% Current number of equations to process: 30
% Current number of ordered equations: 198
% Current number of rules: 473
% New rule produced :
% [507]
% ((identity double_divide (A double_divide B)) double_divide C) double_divide C
% <-> A multiply B
% Current number of equations to process: 30
% Current number of ordered equations: 197
% Current number of rules: 474
% New rule produced :
% [508]
% inverse(inverse(A) double_divide B) double_divide A <->
% inverse(inverse(C) double_divide B) double_divide C
% Current number of equations to process: 30
% Current number of ordered equations: 195
% Current number of rules: 475
% New rule produced :
% [509]
% A multiply B <->
% inverse(inverse(C) double_divide (A double_divide B)) double_divide C
% Current number of equations to process: 30
% Current number of ordered equations: 194
% Current number of rules: 476
% New rule produced :
% [510]
% inverse(inverse(C) double_divide (A double_divide B)) double_divide C <->
% A multiply B
% Current number of equations to process: 30
% Current number of ordered equations: 193
% Current number of rules: 477
% New rule produced :
% [511]
% B <->
% inverse((identity double_divide ((identity double_divide A) double_divide B)) double_divide A)
% Current number of equations to process: 30
% Current number of ordered equations: 192
% Current number of rules: 478
% New rule produced :
% [512]
% inverse((identity double_divide ((identity double_divide A) double_divide B)) double_divide A)
% <-> B
% Current number of equations to process: 30
% Current number of ordered equations: 191
% Current number of rules: 479
% New rule produced :
% [513]
% B <->
% inverse((inverse(identity) double_divide (inverse(A) double_divide B)) double_divide A)
% Current number of equations to process: 30
% Current number of ordered equations: 190
% Current number of rules: 480
% New rule produced :
% [514]
% B <->
% inverse(inverse(inverse(A) double_divide ((identity double_divide A) double_divide B)))
% Current number of equations to process: 30
% Current number of ordered equations: 189
% Current number of rules: 481
% New rule produced :
% [515]
% identity <->
% inverse((inverse(A double_divide B) double_divide inverse(B)) double_divide A)
% Current number of equations to process: 30
% Current number of ordered equations: 188
% Current number of rules: 482
% New rule produced :
% [516]
% inverse((inverse(A double_divide B) double_divide inverse(B)) double_divide A)
% <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 187
% Current number of rules: 483
% New rule produced :
% [517]
% inverse((inverse(identity) double_divide (inverse(A) double_divide B)) double_divide A)
% <-> B
% Current number of equations to process: 30
% Current number of ordered equations: 186
% Current number of rules: 484
% New rule produced :
% [518]
% inverse(inverse(inverse(A) double_divide ((identity double_divide A) double_divide B)))
% <-> B
% Current number of equations to process: 30
% Current number of ordered equations: 185
% Current number of rules: 485
% New rule produced :
% [519]
% B <->
% inverse(inverse(A) double_divide (inverse(identity) double_divide (A double_divide B)))
% Current number of equations to process: 30
% Current number of ordered equations: 184
% Current number of rules: 486
% New rule produced :
% [520]
% B <->
% inverse(identity double_divide (inverse(inverse(A)) double_divide (A double_divide B)))
% Current number of equations to process: 30
% Current number of ordered equations: 183
% Current number of rules: 487
% New rule produced :
% [521]
% inverse(inverse(A) double_divide (inverse(identity) double_divide (A double_divide B)))
% <-> B
% Current number of equations to process: 30
% Current number of ordered equations: 182
% Current number of rules: 488
% New rule produced :
% [522]
% inverse(identity double_divide (inverse(inverse(A)) double_divide (A double_divide B)))
% <-> B
% Current number of equations to process: 30
% Current number of ordered equations: 181
% Current number of rules: 489
% New rule produced :
% [523]
% B <->
% inverse((inverse(inverse(A)) double_divide (identity double_divide B)) double_divide A)
% Current number of equations to process: 30
% Current number of ordered equations: 180
% Current number of rules: 490
% New rule produced :
% [524]
% inverse((inverse(inverse(A)) double_divide (identity double_divide B)) double_divide A)
% <-> B
% Current number of equations to process: 30
% Current number of ordered equations: 179
% Current number of rules: 491
% New rule produced :
% [525]
% C <->
% (inverse(A) double_divide ((A double_divide B) double_divide C)) multiply B
% Current number of equations to process: 30
% Current number of ordered equations: 178
% Current number of rules: 492
% New rule produced :
% [526]
% (inverse(A) double_divide ((A double_divide B) double_divide C)) multiply B
% <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 177
% Current number of rules: 493
% New rule produced :
% [527]
% inverse(B) <->
% inverse(identity double_divide inverse(inverse(A) double_divide B)) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 175
% Current number of rules: 494
% New rule produced :
% [528]
% inverse(B) <->
% inverse(inverse(identity double_divide (inverse(A) double_divide B))) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 174
% Current number of rules: 495
% New rule produced :
% [529]
% inverse(B) <->
% inverse(inverse(identity double_divide inverse(A)) double_divide B) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 173
% Current number of rules: 496
% New rule produced :
% [530]
% inverse(identity double_divide inverse(inverse(A) double_divide B)) double_divide A
% <-> inverse(B)
% Current number of equations to process: 30
% Current number of ordered equations: 171
% Current number of rules: 497
% New rule produced :
% [531]
% inverse(inverse(identity double_divide (inverse(A) double_divide B))) double_divide A
% <-> inverse(B)
% Current number of equations to process: 30
% Current number of ordered equations: 170
% Current number of rules: 498
% New rule produced :
% [532]
% inverse(inverse(identity double_divide inverse(A)) double_divide B) double_divide A
% <-> inverse(B)
% Current number of equations to process: 30
% Current number of ordered equations: 169
% Current number of rules: 499
% New rule produced :
% [533]
% inverse(B) <->
% identity double_divide inverse(inverse(inverse(A) double_divide B) double_divide A)
% Current number of equations to process: 30
% Current number of ordered equations: 168
% Current number of rules: 500
% New rule produced :
% [534]
% inverse(B) <->
% (identity double_divide inverse(inverse(inverse(A) double_divide B))) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 167
% Current number of rules: 501
% New rule produced :
% [535]
% inverse(B) <->
% inverse((identity double_divide inverse(inverse(A))) double_divide B) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 166
% Current number of rules: 502
% New rule produced :
% [536]
% identity double_divide inverse(inverse(inverse(A) double_divide B) double_divide A)
% <-> inverse(B)
% Current number of equations to process: 30
% Current number of ordered equations: 165
% Current number of rules: 503
% New rule produced :
% [537]
% (identity double_divide inverse(inverse(inverse(A) double_divide B))) double_divide A
% <-> inverse(B)
% Current number of equations to process: 30
% Current number of ordered equations: 164
% Current number of rules: 504
% New rule produced :
% [538]
% inverse((identity double_divide inverse(inverse(A))) double_divide B) double_divide A
% <-> inverse(B)
% Current number of equations to process: 30
% Current number of ordered equations: 163
% Current number of rules: 505
% New rule produced :
% [539]
% inverse(C) <->
% inverse((A multiply B) double_divide C) double_divide (A double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 162
% Current number of rules: 506
% New rule produced :
% [540]
% inverse((A multiply B) double_divide C) double_divide (A double_divide B) <->
% inverse(C)
% Current number of equations to process: 30
% Current number of ordered equations: 161
% Current number of rules: 507
% New rule produced :
% [541]
% inverse(A) <->
% (inverse(B) double_divide ((B double_divide C) double_divide A)) double_divide C
% Current number of equations to process: 30
% Current number of ordered equations: 159
% Current number of rules: 508
% New rule produced :
% [542]
% (inverse(B) double_divide ((B double_divide C) double_divide A)) double_divide C
% <-> inverse(A)
% Current number of equations to process: 30
% Current number of ordered equations: 157
% Current number of rules: 509
% New rule produced :
% [543]
% C <->
% inverse((((inverse(A) double_divide B) double_divide C) double_divide A) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 156
% Current number of rules: 510
% New rule produced :
% [544]
% inverse((((inverse(A) double_divide B) double_divide C) double_divide A) double_divide B)
% <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 155
% Current number of rules: 511
% New rule produced :
% [545]
% identity double_divide A <->
% (inverse(B) double_divide ((B double_divide C) double_divide A)) double_divide C
% Current number of equations to process: 30
% Current number of ordered equations: 153
% Current number of rules: 512
% New rule produced :
% [546]
% (inverse(B) double_divide ((B double_divide C) double_divide A)) double_divide C
% <-> identity double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 151
% Current number of rules: 513
% New rule produced :
% [547]
% C <->
% inverse((inverse(A) double_divide (B double_divide C)) double_divide 
% (A double_divide B))
% Current number of equations to process: 30
% Current number of ordered equations: 150
% Current number of rules: 514
% New rule produced :
% [548]
% C <->
% inverse((inverse(A double_divide B) double_divide (A double_divide C)) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 149
% Current number of rules: 515
% New rule produced :
% [549]
% inverse((inverse(A) double_divide (B double_divide C)) double_divide 
% (A double_divide B)) <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 148
% Current number of rules: 516
% New rule produced :
% [550]
% inverse((inverse(A double_divide B) double_divide (A double_divide C)) double_divide B)
% <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 147
% Current number of rules: 517
% New rule produced :
% [551]
% inverse(inverse(C) double_divide ((inverse(A) double_divide C) double_divide B))
% <-> A double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 146
% Current number of rules: 518
% New rule produced :
% [552]
% inverse(inverse(B double_divide C) double_divide A) <->
% inverse((inverse(A) double_divide inverse(B)) double_divide C)
% Current number of equations to process: 30
% Current number of ordered equations: 145
% Current number of rules: 519
% New rule produced :
% [553]
% inverse((inverse(A) double_divide inverse(B)) double_divide C) <->
% inverse(inverse(B double_divide C) double_divide A)
% Current number of equations to process: 30
% Current number of ordered equations: 144
% Current number of rules: 520
% New rule produced :
% [554]
% A double_divide B <->
% inverse(inverse(C) double_divide ((inverse(A) double_divide C) double_divide B))
% Current number of equations to process: 30
% Current number of ordered equations: 143
% Current number of rules: 521
% New rule produced :
% [555]
% inverse(C) <->
% inverse(((inverse(A) double_divide B) double_divide B) double_divide C) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 142
% Current number of rules: 522
% New rule produced :
% [556]
% inverse(B) <->
% ((inverse(inverse(A) double_divide B) double_divide A) double_divide C) double_divide C
% Current number of equations to process: 30
% Current number of ordered equations: 141
% Current number of rules: 523
% New rule produced :
% [557]
% inverse(B) <->
% inverse(((inverse(A) double_divide B) double_divide C) double_divide C) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 140
% Current number of rules: 524
% New rule produced :
% [558]
% inverse(B) <->
% ((inverse(inverse(A) double_divide B) double_divide C) double_divide C) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 139
% Current number of rules: 525
% New rule produced :
% [559]
% ((inverse(inverse(A) double_divide B) double_divide A) double_divide C) double_divide C
% <-> inverse(B)
% Current number of equations to process: 30
% Current number of ordered equations: 138
% Current number of rules: 526
% New rule produced :
% [560]
% inverse(((inverse(A) double_divide B) double_divide B) double_divide C) double_divide A
% <-> inverse(C)
% Current number of equations to process: 30
% Current number of ordered equations: 137
% Current number of rules: 527
% New rule produced :
% [561]
% inverse(((inverse(A) double_divide B) double_divide C) double_divide C) double_divide A
% <-> inverse(B)
% Current number of equations to process: 30
% Current number of ordered equations: 136
% Current number of rules: 528
% New rule produced :
% [562]
% ((inverse(inverse(A) double_divide B) double_divide C) double_divide C) double_divide A
% <-> inverse(B)
% Current number of equations to process: 30
% Current number of ordered equations: 135
% Current number of rules: 529
% New rule produced :
% [563]
% inverse(identity) <->
% inverse((inverse(A) double_divide (identity double_divide (A double_divide B))) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 134
% Current number of rules: 530
% New rule produced :
% [564]
% inverse((inverse(A) double_divide (identity double_divide (A double_divide B))) double_divide B)
% <-> inverse(identity)
% Current number of equations to process: 30
% Current number of ordered equations: 133
% Current number of rules: 531
% New rule produced :
% [565]
% identity <->
% inverse(inverse((inverse(A) double_divide (identity double_divide (A double_divide B))) double_divide B))
% Current number of equations to process: 30
% Current number of ordered equations: 132
% Current number of rules: 532
% New rule produced :
% [566]
% identity <->
% inverse((inverse(A) double_divide (inverse(identity) double_divide (A double_divide B))) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 131
% Current number of rules: 533
% New rule produced :
% [567]
% inverse(inverse((inverse(A) double_divide (identity double_divide (A double_divide B))) double_divide B))
% <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 130
% Current number of rules: 534
% New rule produced :
% [568]
% inverse((inverse(A) double_divide (inverse(identity) double_divide (A double_divide B))) double_divide B)
% <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 129
% Current number of rules: 535
% New rule produced :
% [569]
% inverse((inverse(B) double_divide ((B double_divide C) double_divide A)) double_divide C)
% <-> identity multiply A
% Current number of equations to process: 30
% Current number of ordered equations: 128
% Current number of rules: 536
% New rule produced :
% [570]
% identity multiply A <->
% inverse((inverse(B) double_divide ((B double_divide C) double_divide A)) double_divide C)
% Current number of equations to process: 30
% Current number of ordered equations: 127
% Current number of rules: 537
% New rule produced :
% [571]
% inverse((inverse(A) double_divide (identity double_divide (A double_divide B))) double_divide B)
% <-> identity double_divide identity
% Current number of equations to process: 30
% Current number of ordered equations: 126
% Current number of rules: 538
% New rule produced :
% [572]
% identity double_divide identity <->
% inverse((inverse(A) double_divide (identity double_divide (A double_divide B))) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 125
% Current number of rules: 539
% New rule produced :
% [573]
% C <->
% inverse(((identity double_divide A) double_divide ((A double_divide B) double_divide C)) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 124
% Current number of rules: 540
% New rule produced :
% [574]
% C <->
% identity double_divide ((inverse(A) double_divide ((A double_divide B) double_divide C)) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 123
% Current number of rules: 541
% New rule produced :
% [575]
% inverse(((identity double_divide A) double_divide ((A double_divide B) double_divide C)) double_divide B)
% <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 122
% Current number of rules: 542
% New rule produced :
% [576]
% identity double_divide ((inverse(A) double_divide ((A double_divide B) double_divide C)) double_divide B)
% <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 121
% Current number of rules: 543
% New rule produced :
% [577]
% C <->
% inverse(((((identity double_divide A) double_divide B) double_divide C) double_divide A) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 120
% Current number of rules: 544
% New rule produced :
% [578]
% inverse(((((identity double_divide A) double_divide B) double_divide C) double_divide A) double_divide B)
% <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 119
% Current number of rules: 545
% New rule produced :
% [579]
% B <->
% inverse((identity double_divide ((inverse(inverse(identity)) double_divide A) double_divide B)) double_divide A)
% Current number of equations to process: 30
% Current number of ordered equations: 118
% Current number of rules: 546
% New rule produced :
% [580]
% inverse((identity double_divide ((inverse(inverse(identity)) double_divide A) double_divide B)) double_divide A)
% <-> B
% Current number of equations to process: 30
% Current number of ordered equations: 117
% Current number of rules: 547
% New rule produced :
% [581]
% identity <->
% ((inverse(A) double_divide ((A double_divide B) double_divide C)) double_divide B) double_divide C
% Current number of equations to process: 30
% Current number of ordered equations: 116
% Current number of rules: 548
% New rule produced :
% [582]
% ((inverse(A) double_divide ((A double_divide B) double_divide C)) double_divide B) double_divide C
% <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 115
% Current number of rules: 549
% New rule produced :
% [583]
% inverse(C) <->
% inverse((inverse(inverse(A) double_divide B) double_divide A) double_divide C) double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 114
% Current number of rules: 550
% New rule produced :
% [584]
% inverse(C) <->
% (inverse(inverse(A) double_divide (inverse(B) double_divide C)) double_divide A) double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 113
% Current number of rules: 551
% New rule produced :
% [585]
% inverse((inverse(inverse(A) double_divide B) double_divide A) double_divide C) double_divide B
% <-> inverse(C)
% Current number of equations to process: 30
% Current number of ordered equations: 112
% Current number of rules: 552
% New rule produced :
% [586]
% (inverse(inverse(A) double_divide (inverse(B) double_divide C)) double_divide A) double_divide B
% <-> inverse(C)
% Current number of equations to process: 30
% Current number of ordered equations: 111
% Current number of rules: 553
% New rule produced :
% [587]
% inverse((inverse(B) double_divide ((B double_divide C) double_divide A)) double_divide C)
% <-> identity double_divide inverse(A)
% Current number of equations to process: 30
% Current number of ordered equations: 110
% Current number of rules: 554
% New rule produced :
% [588]
% identity double_divide inverse(A) <->
% inverse((inverse(B) double_divide ((B double_divide C) double_divide A)) double_divide C)
% Current number of equations to process: 30
% Current number of ordered equations: 109
% Current number of rules: 555
% New rule produced :
% [589]
% inverse(inverse(inverse(identity))) <->
% inverse((inverse(A) double_divide (identity double_divide (A double_divide B))) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 108
% Current number of rules: 556
% New rule produced :
% [590]
% inverse((inverse(A) double_divide (identity double_divide (A double_divide B))) double_divide B)
% <-> inverse(inverse(inverse(identity)))
% Current number of equations to process: 30
% Current number of ordered equations: 107
% Current number of rules: 557
% New rule produced :
% [591]
% inverse((inverse(B) double_divide (identity double_divide (B double_divide C))) double_divide C)
% <-> inverse(A) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 106
% Current number of rules: 558
% New rule produced :
% [592]
% inverse(A) double_divide A <->
% inverse((inverse(B) double_divide (identity double_divide (B double_divide C))) double_divide C)
% Current number of equations to process: 30
% Current number of ordered equations: 105
% Current number of rules: 559
% New rule produced :
% [593]
% (eq)(inverse(A),identity multiply ((inverse(B) double_divide ((B double_divide C) double_divide A)) double_divide C))
% -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 104
% Current number of rules: 560
% New rule produced :
% [594]
% A <->
% inverse((inverse(B) double_divide (inverse(inverse(A)) double_divide 
% (B double_divide C))) double_divide C)
% Current number of equations to process: 30
% Current number of ordered equations: 103
% Current number of rules: 561
% New rule produced :
% [595]
% B <->
% inverse(inverse((inverse(A) double_divide (inverse(B) double_divide (A double_divide C))) double_divide C))
% Current number of equations to process: 30
% Current number of ordered equations: 102
% Current number of rules: 562
% New rule produced :
% [596]
% inverse((inverse(B) double_divide (inverse(inverse(A)) double_divide 
% (B double_divide C))) double_divide C) <->
% A
% Current number of equations to process: 30
% Current number of ordered equations: 101
% Current number of rules: 563
% New rule produced :
% [597]
% inverse(inverse((inverse(A) double_divide (inverse(B) double_divide (A double_divide C))) double_divide C))
% <-> B
% Current number of equations to process: 30
% Current number of ordered equations: 100
% Current number of rules: 564
% New rule produced :
% [598]
% A <->
% inverse((inverse(B) double_divide ((identity multiply A) double_divide 
% (B double_divide C))) double_divide C)
% Current number of equations to process: 30
% Current number of ordered equations: 99
% Current number of rules: 565
% New rule produced :
% [599]
% C <->
% inverse((inverse(A) double_divide (identity double_divide (A double_divide B))) double_divide B) multiply C
% Current number of equations to process: 30
% Current number of ordered equations: 98
% Current number of rules: 566
% New rule produced :
% [600]
% inverse((inverse(B) double_divide ((identity multiply A) double_divide 
% (B double_divide C))) double_divide C) <->
% A
% Current number of equations to process: 30
% Current number of ordered equations: 97
% Current number of rules: 567
% New rule produced :
% [601]
% inverse((inverse(A) double_divide (identity double_divide (A double_divide B))) double_divide B) multiply C
% <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 96
% Current number of rules: 568
% New rule produced :
% [602]
% identity <->
% inverse((inverse(A) double_divide ((identity double_divide identity) double_divide 
% (A double_divide B))) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 95
% Current number of rules: 569
% New rule produced :
% [603]
% identity <->
% identity double_divide inverse((inverse(A) double_divide (identity double_divide 
% (A double_divide B))) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 94
% Current number of rules: 570
% New rule produced :
% [604]
% inverse((inverse(A) double_divide ((identity double_divide identity) double_divide 
% (A double_divide B))) double_divide B) <->
% identity
% Current number of equations to process: 30
% Current number of ordered equations: 93
% Current number of rules: 571
% New rule produced :
% [605]
% identity double_divide inverse((inverse(A) double_divide (identity double_divide 
% (A double_divide B))) double_divide B)
% <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 92
% Current number of rules: 572
% New rule produced :
% [606]
% inverse((inverse(B) double_divide (inverse(A) double_divide (B double_divide C))) double_divide C)
% <-> identity double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 91
% Current number of rules: 573
% New rule produced :
% [607]
% identity double_divide A <->
% inverse((inverse(B) double_divide (inverse(A) double_divide (B double_divide C))) double_divide C)
% Current number of equations to process: 30
% Current number of ordered equations: 90
% Current number of rules: 574
% New rule produced :
% [608]
% inverse((inverse(C) double_divide ((C double_divide V_3) double_divide B)) double_divide V_3)
% <-> (A double_divide B) double_divide A
% Current number of equations to process: 30
% Current number of ordered equations: 89
% Current number of rules: 575
% New rule produced :
% [609]
% (A double_divide B) double_divide A <->
% inverse((inverse(C) double_divide ((C double_divide V_3) double_divide B)) double_divide V_3)
% Current number of equations to process: 30
% Current number of ordered equations: 88
% Current number of rules: 576
% New rule produced :
% [610]
% C <->
% inverse(inverse(inverse((inverse(A) double_divide ((A double_divide B) double_divide C)) double_divide B)))
% Current number of equations to process: 30
% Current number of ordered equations: 87
% Current number of rules: 577
% New rule produced :
% [611]
% C <->
% inverse((inverse(inverse(inverse(A))) double_divide ((A double_divide B) double_divide C)) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 86
% Current number of rules: 578
% New rule produced :
% [612]
% C <->
% inverse((inverse(A) double_divide (inverse(inverse(A double_divide B)) double_divide C)) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 85
% Current number of rules: 579
% New rule produced :
% [613]
% C <->
% inverse((inverse(inverse((A double_divide B) double_divide C)) double_divide 
% inverse(B)) double_divide A)
% Current number of equations to process: 30
% Current number of ordered equations: 84
% Current number of rules: 580
% New rule produced :
% [614]
% C <->
% inverse(inverse(inverse(inverse(A) double_divide ((A double_divide B) double_divide C))) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 83
% Current number of rules: 581
% New rule produced :
% [615]
% inverse(inverse(inverse((inverse(A) double_divide ((A double_divide B) double_divide C)) double_divide B)))
% <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 82
% Current number of rules: 582
% New rule produced :
% [616]
% inverse((inverse(inverse(inverse(A))) double_divide ((A double_divide B) double_divide C)) double_divide B)
% <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 81
% Current number of rules: 583
% New rule produced :
% [617]
% inverse((inverse(A) double_divide (inverse(inverse(A double_divide B)) double_divide C)) double_divide B)
% <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 80
% Current number of rules: 584
% New rule produced :
% [618]
% inverse((inverse(inverse((A double_divide B) double_divide C)) double_divide 
% inverse(B)) double_divide A) <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 79
% Current number of rules: 585
% New rule produced :
% [619]
% inverse(inverse(inverse(inverse(A) double_divide ((A double_divide B) double_divide C))) double_divide B)
% <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 78
% Current number of rules: 586
% New rule produced :
% [620]
% C <->
% inverse(identity multiply ((inverse(A) double_divide ((A double_divide B) double_divide C)) double_divide B))
% Current number of equations to process: 30
% Current number of ordered equations: 77
% Current number of rules: 587
% New rule produced :
% [621]
% C <->
% inverse(((identity multiply inverse(A)) double_divide ((A double_divide B) double_divide C)) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 76
% Current number of rules: 588
% New rule produced :
% [622]
% C <->
% inverse((inverse(A) double_divide ((identity multiply (A double_divide B)) double_divide C)) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 75
% Current number of rules: 589
% New rule produced :
% [623]
% C <->
% inverse((inverse(A) double_divide (identity multiply ((A double_divide B) double_divide C))) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 74
% Current number of rules: 590
% New rule produced :
% [624]
% C <->
% inverse((identity multiply (inverse(A) double_divide ((A double_divide B) double_divide C))) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 73
% Current number of rules: 591
% New rule produced :
% [625]
% C <->
% identity multiply inverse((inverse(A) double_divide ((A double_divide B) double_divide C)) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 72
% Current number of rules: 592
% New rule produced :
% [626]
% inverse(identity multiply ((inverse(A) double_divide ((A double_divide B) double_divide C)) double_divide B))
% <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 71
% Current number of rules: 593
% New rule produced :
% [627]
% inverse(((identity multiply inverse(A)) double_divide ((A double_divide B) double_divide C)) double_divide B)
% <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 70
% Current number of rules: 594
% New rule produced :
% [628]
% inverse((inverse(A) double_divide ((identity multiply (A double_divide B)) double_divide C)) double_divide B)
% <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 69
% Current number of rules: 595
% New rule produced :
% [629]
% inverse((inverse(A) double_divide (identity multiply ((A double_divide B) double_divide C))) double_divide B)
% <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 68
% Current number of rules: 596
% New rule produced :
% [630]
% inverse((identity multiply (inverse(A) double_divide ((A double_divide B) double_divide C))) double_divide B)
% <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 67
% Current number of rules: 597
% New rule produced :
% [631]
% identity multiply inverse((inverse(A) double_divide ((A double_divide B) double_divide C)) double_divide B)
% <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 66
% Current number of rules: 598
% New rule produced :
% [632]
% C <->
% inverse((inverse(identity) double_divide ((A multiply B) double_divide C)) double_divide 
% (A double_divide B))
% Current number of equations to process: 30
% Current number of ordered equations: 65
% Current number of rules: 599
% New rule produced :
% [633]
% C <->
% inverse(identity double_divide (inverse(A double_divide B) double_divide 
% ((A multiply B) double_divide C)))
% Current number of equations to process: 30
% Current number of ordered equations: 64
% Current number of rules: 600
% New rule produced :
% [634]
% inverse((inverse(identity) double_divide ((A multiply B) double_divide C)) double_divide 
% (A double_divide B)) <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 63
% Current number of rules: 601
% New rule produced :
% [635]
% inverse(identity double_divide (inverse(A double_divide B) double_divide 
% ((A multiply B) double_divide C))) <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 62
% Current number of rules: 602
% New rule produced :
% [636]
% inverse(C) <->
% inverse((inverse(A) double_divide (identity double_divide (A double_divide B))) double_divide B) double_divide C
% Current number of equations to process: 30
% Current number of ordered equations: 61
% Current number of rules: 603
% New rule produced :
% [637]
% inverse(A) <->
% inverse((inverse(B) double_divide ((identity double_divide A) double_divide 
% (B double_divide C))) double_divide C)
% Current number of equations to process: 30
% Current number of ordered equations: 60
% Current number of rules: 604
% New rule produced :
% [638]
% inverse((inverse(B) double_divide ((identity double_divide A) double_divide 
% (B double_divide C))) double_divide C) <->
% inverse(A)
% Current number of equations to process: 30
% Current number of ordered equations: 59
% Current number of rules: 605
% New rule produced :
% [639]
% inverse((inverse(A) double_divide (identity double_divide (A double_divide B))) double_divide B) double_divide C
% <-> inverse(C)
% Current number of equations to process: 30
% Current number of ordered equations: 58
% Current number of rules: 606
% New rule produced :
% [640]
% A <->
% inverse((inverse(B) double_divide (inverse(identity double_divide A) double_divide 
% (B double_divide C))) double_divide C)
% Current number of equations to process: 30
% Current number of ordered equations: 57
% Current number of rules: 607
% New rule produced :
% [641]
% B <->
% inverse(inverse((inverse(A) double_divide ((identity double_divide B) double_divide 
% (A double_divide C))) double_divide C))
% Current number of equations to process: 30
% Current number of ordered equations: 56
% Current number of rules: 608
% New rule produced :
% [642]
% C <->
% inverse(inverse((inverse(A) double_divide (identity double_divide (A double_divide B))) double_divide B) double_divide C)
% Current number of equations to process: 30
% Current number of ordered equations: 55
% Current number of rules: 609
% New rule produced :
% [643]
% inverse(inverse((inverse(A) double_divide (identity double_divide (A double_divide B))) double_divide B) double_divide C)
% <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 54
% Current number of rules: 610
% New rule produced :
% [644]
% inverse((inverse(B) double_divide (inverse(identity double_divide A) double_divide 
% (B double_divide C))) double_divide C) <->
% A
% Current number of equations to process: 30
% Current number of ordered equations: 53
% Current number of rules: 611
% New rule produced :
% [645]
% inverse(inverse((inverse(A) double_divide ((identity double_divide B) double_divide 
% (A double_divide C))) double_divide C))
% <-> B
% Current number of equations to process: 30
% Current number of ordered equations: 52
% Current number of rules: 612
% New rule produced :
% [646]
% identity <->
% inverse(inverse(inverse(inverse((inverse(A) double_divide (identity double_divide 
% (A double_divide B))) double_divide B))))
% Current number of equations to process: 30
% Current number of ordered equations: 51
% Current number of rules: 613
% New rule produced :
% [647]
% identity <->
% inverse(inverse(inverse((inverse(A) double_divide (inverse(identity) double_divide 
% (A double_divide B))) double_divide B)))
% Current number of equations to process: 30
% Current number of ordered equations: 50
% Current number of rules: 614
% New rule produced :
% [648]
% identity <->
% inverse((inverse(A) double_divide (inverse(inverse(inverse(identity))) double_divide 
% (A double_divide B))) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 49
% Current number of rules: 615
% New rule produced :
% [649]
% identity <->
% inverse(inverse((inverse(A) double_divide (inverse(inverse(identity)) double_divide 
% (A double_divide B))) double_divide B))
% Current number of equations to process: 30
% Current number of ordered equations: 48
% Current number of rules: 616
% New rule produced :
% [650]
% inverse(inverse(inverse(inverse((inverse(A) double_divide (identity double_divide 
% (A double_divide B))) double_divide B))))
% <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 47
% Current number of rules: 617
% New rule produced :
% [651]
% inverse(inverse(inverse((inverse(A) double_divide (inverse(identity) double_divide 
% (A double_divide B))) double_divide B)))
% <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 46
% Current number of rules: 618
% New rule produced :
% [652]
% inverse((inverse(A) double_divide (inverse(inverse(inverse(identity))) double_divide 
% (A double_divide B))) double_divide B) <->
% identity
% Current number of equations to process: 30
% Current number of ordered equations: 45
% Current number of rules: 619
% New rule produced :
% [653]
% inverse(inverse((inverse(A) double_divide (inverse(inverse(identity)) double_divide 
% (A double_divide B))) double_divide B))
% <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 44
% Current number of rules: 620
% New rule produced :
% [654]
% (eq)(inverse(inverse(A)),inverse((inverse(B) double_divide ((identity multiply A) double_divide 
% (B double_divide C))) double_divide C))
% -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 43
% Current number of rules: 621
% New rule produced :
% [655]
% (eq)(inverse(inverse(A)),inverse((inverse(B) double_divide (identity double_divide 
% (B double_divide C))) double_divide C) multiply A)
% -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 42
% Current number of rules: 622
% New rule produced :
% [656]
% (eq)(inverse(inverse((inverse(A) double_divide (inverse(B) double_divide 
% (A double_divide C))) double_divide C)),
% identity multiply B) -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 41
% Current number of rules: 623
% New rule produced :
% [657]
% (eq)(inverse((inverse(A) double_divide (inverse(inverse(B)) double_divide 
% (A double_divide C))) double_divide C),
% identity multiply B) -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 40
% Current number of rules: 624
% New rule produced :
% [658]
% A <->
% inverse((inverse(B) double_divide ((identity double_divide inverse(A)) double_divide 
% (B double_divide C))) double_divide C)
% Current number of equations to process: 30
% Current number of ordered equations: 39
% Current number of rules: 625
% New rule produced :
% [659]
% B <->
% identity double_divide inverse((inverse(A) double_divide (inverse(B) double_divide 
% (A double_divide C))) double_divide C)
% Current number of equations to process: 30
% Current number of ordered equations: 38
% Current number of rules: 626
% New rule produced :
% [660]
% C <->
% inverse((inverse(A) double_divide (identity double_divide (A double_divide B))) double_divide B) double_divide 
% inverse(C)
% Current number of equations to process: 30
% Current number of ordered equations: 37
% Current number of rules: 627
% New rule produced :
% [661]
% inverse((inverse(B) double_divide ((identity double_divide inverse(A)) double_divide 
% (B double_divide C))) double_divide C) <->
% A
% Current number of equations to process: 30
% Current number of ordered equations: 36
% Current number of rules: 628
% New rule produced :
% [662]
% identity double_divide inverse((inverse(A) double_divide (inverse(B) double_divide 
% (A double_divide C))) double_divide C)
% <-> B
% Current number of equations to process: 30
% Current number of ordered equations: 35
% Current number of rules: 629
% New rule produced :
% [663]
% inverse((inverse(A) double_divide (identity double_divide (A double_divide B))) double_divide B) double_divide 
% inverse(C) <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 34
% Current number of rules: 630
% New rule produced :
% [664]
% identity <->
% inverse((inverse(A) double_divide ((inverse(B) double_divide B) double_divide 
% (A double_divide C))) double_divide C)
% Current number of equations to process: 30
% Current number of ordered equations: 33
% Current number of rules: 631
% New rule produced :
% [665]
% identity <->
% inverse((inverse(A) double_divide (inverse(B) double_divide (A double_divide C))) double_divide C) double_divide B
% Current number of equations to process: 30
% Current number of ordered equations: 32
% Current number of rules: 632
% New rule produced :
% [666]
% inverse((inverse(A) double_divide ((inverse(B) double_divide B) double_divide 
% (A double_divide C))) double_divide C) <->
% identity
% Current number of equations to process: 30
% Current number of ordered equations: 31
% Current number of rules: 633
% New rule produced :
% [667]
% inverse((inverse(A) double_divide (inverse(B) double_divide (A double_divide C))) double_divide C) double_divide B
% <-> identity
% Current number of equations to process: 30
% Current number of ordered equations: 30
% Current number of rules: 634
% New rule produced :
% [668]
% C <->
% inverse(inverse(identity double_divide ((inverse(A) double_divide ((A double_divide B) double_divide C)) double_divide B)))
% Current number of equations to process: 30
% Current number of ordered equations: 29
% Current number of rules: 635
% New rule produced :
% [669]
% C <->
% inverse((inverse(identity double_divide inverse(A)) double_divide ((A double_divide B) double_divide C)) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 28
% Current number of rules: 636
% New rule produced :
% [670]
% C <->
% inverse((inverse(A) double_divide (inverse(identity double_divide (A double_divide B)) double_divide C)) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 27
% Current number of rules: 637
% New rule produced :
% [671]
% C <->
% inverse((inverse(identity double_divide ((A double_divide B) double_divide C)) double_divide 
% inverse(B)) double_divide A)
% Current number of equations to process: 30
% Current number of ordered equations: 26
% Current number of rules: 638
% New rule produced :
% [672]
% C <->
% inverse(inverse(identity double_divide (inverse(A) double_divide ((A double_divide B) double_divide C))) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 25
% Current number of rules: 639
% New rule produced :
% [673]
% inverse(inverse(identity double_divide ((inverse(A) double_divide ((A double_divide B) double_divide C)) double_divide B)))
% <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 24
% Current number of rules: 640
% New rule produced :
% [674]
% inverse((inverse(identity double_divide inverse(A)) double_divide ((A double_divide B) double_divide C)) double_divide B)
% <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 23
% Current number of rules: 641
% New rule produced :
% [675]
% inverse((inverse(A) double_divide (inverse(identity double_divide (A double_divide B)) double_divide C)) double_divide B)
% <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 22
% Current number of rules: 642
% New rule produced :
% [676]
% inverse((inverse(identity double_divide ((A double_divide B) double_divide C)) double_divide 
% inverse(B)) double_divide A) <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 21
% Current number of rules: 643
% New rule produced :
% [677]
% inverse(inverse(identity double_divide (inverse(A) double_divide ((A double_divide B) double_divide C))) double_divide B)
% <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 20
% Current number of rules: 644
% New rule produced :
% [678]
% C <->
% inverse(identity double_divide inverse((inverse(A) double_divide ((A double_divide B) double_divide C)) double_divide B))
% Current number of equations to process: 30
% Current number of ordered equations: 19
% Current number of rules: 645
% New rule produced :
% [679]
% C <->
% inverse(((identity double_divide inverse(inverse(A))) double_divide (
% (A double_divide B) double_divide C)) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 18
% Current number of rules: 646
% New rule produced :
% [680]
% C <->
% inverse((inverse(A) double_divide ((identity double_divide inverse(A double_divide B)) double_divide C)) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 17
% Current number of rules: 647
% New rule produced :
% [681]
% C <->
% inverse((inverse(A) double_divide (identity double_divide inverse((A double_divide B) double_divide C))) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 16
% Current number of rules: 648
% New rule produced :
% [682]
% C <->
% inverse((identity double_divide inverse(inverse(A) double_divide ((A double_divide B) double_divide C))) double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 15
% Current number of rules: 649
% New rule produced :
% [683]
% C <->
% identity double_divide inverse(inverse((inverse(A) double_divide ((A double_divide B) double_divide C)) double_divide B))
% Current number of equations to process: 30
% Current number of ordered equations: 14
% Current number of rules: 650
% New rule produced :
% [684]
% inverse(identity double_divide inverse((inverse(A) double_divide ((A double_divide B) double_divide C)) double_divide B))
% <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 13
% Current number of rules: 651
% New rule produced :
% [685]
% inverse(((identity double_divide inverse(inverse(A))) double_divide (
% (A double_divide B) double_divide C)) double_divide B)
% <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 12
% Current number of rules: 652
% New rule produced :
% [686]
% inverse((inverse(A) double_divide ((identity double_divide inverse(A double_divide B)) double_divide C)) double_divide B)
% <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 11
% Current number of rules: 653
% New rule produced :
% [687]
% inverse((inverse(A) double_divide (identity double_divide inverse((A double_divide B) double_divide C))) double_divide B)
% <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 10
% Current number of rules: 654
% New rule produced :
% [688]
% inverse((identity double_divide inverse(inverse(A) double_divide ((A double_divide B) double_divide C))) double_divide B)
% <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 9
% Current number of rules: 655
% New rule produced :
% [689]
% identity double_divide inverse(inverse((inverse(A) double_divide ((A double_divide B) double_divide C)) double_divide B))
% <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 8
% Current number of rules: 656
% New rule produced :
% [690]
% V_3 <->
% inverse(((A multiply B) double_divide (((A double_divide B) double_divide C) double_divide V_3)) double_divide C)
% Current number of equations to process: 30
% Current number of ordered equations: 7
% Current number of rules: 657
% New rule produced :
% [691]
% inverse(((A multiply B) double_divide (((A double_divide B) double_divide C) double_divide V_3)) double_divide C)
% <-> V_3
% Current number of equations to process: 30
% Current number of ordered equations: 6
% Current number of rules: 658
% New rule produced :
% [692]
% C <->
% inverse((inverse(inverse(inverse(A) double_divide B)) double_divide (
% inverse(B) double_divide C)) double_divide A)
% Current number of equations to process: 30
% Current number of ordered equations: 5
% Current number of rules: 659
% New rule produced :
% [693]
% C <->
% inverse(inverse(inverse(A) double_divide B) double_divide (inverse(A) double_divide 
% (inverse(B) double_divide C)))
% Current number of equations to process: 30
% Current number of ordered equations: 4
% Current number of rules: 660
% New rule produced :
% [694]
% inverse((inverse(inverse(inverse(A) double_divide B)) double_divide (
% inverse(B) double_divide C)) double_divide A)
% <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 3
% Current number of rules: 661
% New rule produced :
% [695]
% inverse(inverse(inverse(A) double_divide B) double_divide (inverse(A) double_divide 
% (inverse(B) double_divide C)))
% <-> C
% Current number of equations to process: 30
% Current number of ordered equations: 2
% Current number of rules: 662
% New rule produced :
% [696]
% inverse(A double_divide B) <->
% inverse((inverse(C) double_divide ((A multiply B) double_divide (C double_divide V_3))) double_divide V_3)
% Current number of equations to process: 30
% Current number of ordered equations: 1
% Current number of rules: 663
% New rule produced :
% [697]
% inverse((inverse(C) double_divide ((A multiply B) double_divide (C double_divide V_3))) double_divide V_3)
% <-> inverse(A double_divide B)
% Current number of equations to process: 30
% Current number of ordered equations: 0
% Current number of rules: 664
% New rule produced :
% [698]
% A <->
% (identity double_divide identity) double_divide (identity double_divide A)
% Current number of equations to process: 175
% Current number of ordered equations: 1
% Current number of rules: 665
% New rule produced :
% [699]
% (identity double_divide identity) double_divide (identity double_divide A)
% <-> A
% Current number of equations to process: 175
% Current number of ordered equations: 0
% Current number of rules: 666
% New rule produced :
% [700]
% identity double_divide B <->
% (identity double_divide identity) double_divide ((A double_divide B) double_divide A)
% Current number of equations to process: 174
% Current number of ordered equations: 1
% Current number of rules: 667
% New rule produced :
% [701]
% (identity double_divide identity) double_divide ((A double_divide B) double_divide A)
% <-> identity double_divide B
% Current number of equations to process: 174
% Current number of ordered equations: 0
% Current number of rules: 668
% New rule produced :
% [702]
% (identity double_divide identity) double_divide A <->
% ((identity double_divide identity) double_divide (identity double_divide identity)) double_divide A
% Current number of equations to process: 180
% Current number of ordered equations: 1
% Current number of rules: 669
% New rule produced :
% [703]
% ((identity double_divide identity) double_divide (identity double_divide identity)) double_divide A
% <-> (identity double_divide identity) double_divide A
% Current number of equations to process: 180
% Current number of ordered equations: 0
% Current number of rules: 670
% New rule produced :
% [704]
% A <->
% (identity double_divide identity) double_divide (((identity double_divide A) double_divide B) double_divide B)
% Current number of equations to process: 177
% Current number of ordered equations: 5
% Current number of rules: 671
% New rule produced :
% [705]
% B <->
% (identity double_divide identity) double_divide (((identity double_divide A) double_divide A) double_divide B)
% Current number of equations to process: 177
% Current number of ordered equations: 4
% Current number of rules: 672
% New rule produced :
% [706]
% B <->
% (identity double_divide A) double_divide (((identity double_divide identity) double_divide A) double_divide B)
% Current number of equations to process: 177
% Current number of ordered equations: 3
% Current number of rules: 673
% New rule produced :
% [707]
% (identity double_divide identity) double_divide (((identity double_divide A) double_divide B) double_divide B)
% <-> A
% Current number of equations to process: 177
% Current number of ordered equations: 2
% Current number of rules: 674
% New rule produced :
% [708]
% (identity double_divide identity) double_divide (((identity double_divide A) double_divide A) double_divide B)
% <-> B
% Current number of equations to process: 177
% Current number of ordered equations: 1
% Current number of rules: 675
% New rule produced :
% [709]
% (identity double_divide A) double_divide (((identity double_divide identity) double_divide A) double_divide B)
% <-> B
% Current number of equations to process: 177
% Current number of ordered equations: 0
% Current number of rules: 676
% New rule produced :
% [710]
% inverse(A double_divide B) <->
% (identity double_divide identity) double_divide ((identity double_divide 
% (identity double_divide A)) double_divide B)
% Current number of equations to process: 180
% Current number of ordered equations: 1
% Current number of rules: 677
% New rule produced :
% [711]
% (identity double_divide identity) double_divide ((identity double_divide 
% (identity double_divide A)) double_divide B)
% <-> inverse(A double_divide B)
% Current number of equations to process: 180
% Current number of ordered equations: 0
% Current number of rules: 678
% New rule produced :
% [712]
% inverse(A) <->
% (inverse(identity) double_divide (identity double_divide identity)) double_divide A
% Current number of equations to process: 194
% Current number of ordered equations: 1
% Current number of rules: 679
% New rule produced :
% [713]
% (inverse(identity) double_divide (identity double_divide identity)) double_divide A
% <-> inverse(A)
% Current number of equations to process: 194
% Current number of ordered equations: 0
% Current number of rules: 680
% New rule produced :
% [714]
% A <->
% (identity double_divide identity) double_divide (identity double_divide 
% ((identity double_divide identity) double_divide 
% (identity double_divide A)))
% Current number of equations to process: 191
% Current number of ordered equations: 5
% Current number of rules: 681
% New rule produced :
% [715]
% B <->
% (identity double_divide identity) double_divide ((identity double_divide 
% ((identity double_divide A) double_divide B)) double_divide A)
% Current number of equations to process: 191
% Current number of ordered equations: 4
% Current number of rules: 682
% New rule produced :
% [716]
% C <->
% identity double_divide (((identity double_divide A) double_divide ((A double_divide B) double_divide C)) double_divide B)
% Current number of equations to process: 191
% Current number of ordered equations: 3
% Current number of rules: 683
% New rule produced :
% [717]
% identity double_divide (((identity double_divide A) double_divide ((A double_divide B) double_divide C)) double_divide B)
% <-> C
% Current number of equations to process: 191
% Current number of ordered equations: 2
% Current number of rules: 684
% New rule produced :
% [718]
% (identity double_divide identity) double_divide ((identity double_divide 
% ((identity double_divide A) double_divide B)) double_divide A)
% <-> B
% Current number of equations to process: 191
% Current number of ordered equations: 1
% Current number of rules: 685
% New rule produced :
% [719]
% (identity double_divide identity) double_divide (identity double_divide 
% ((identity double_divide identity) double_divide 
% (identity double_divide A)))
% <-> A
% Current number of equations to process: 191
% Current number of ordered equations: 0
% Current number of rules: 686
% New rule produced :
% [720]
% (identity double_divide identity) double_divide A <->
% ((identity double_divide B) double_divide ((B double_divide C) double_divide A)) double_divide C
% Current number of equations to process: 189
% Current number of ordered equations: 3
% Current number of rules: 687
% New rule produced :
% [721]
% (identity double_divide identity) double_divide (((identity double_divide A) double_divide B) double_divide C)
% <-> (A double_divide C) double_divide B
% Current number of equations to process: 189
% Current number of ordered equations: 2
% Current number of rules: 688
% New rule produced :
% [722]
% (A double_divide C) double_divide B <->
% (identity double_divide identity) double_divide (((identity double_divide A) double_divide B) double_divide C)
% Current number of equations to process: 189
% Current number of ordered equations: 1
% Current number of rules: 689
% New rule produced :
% [723]
% ((identity double_divide B) double_divide ((B double_divide C) double_divide A)) double_divide C
% <-> (identity double_divide identity) double_divide A
% Current number of equations to process: 189
% Current number of ordered equations: 0
% Current number of rules: 690
% New rule produced :
% [724]
% B <->
% ((identity double_divide A) multiply ((identity double_divide A) double_divide B)) double_divide 
% (identity double_divide identity)
% Current number of equations to process: 186
% Current number of ordered equations: 5
% Current number of rules: 691
% New rule produced :
% [725]
% identity <->
% (identity double_divide identity) double_divide (((A multiply B) double_divide 
% (identity double_divide A)) double_divide B)
% Current number of equations to process: 186
% Current number of ordered equations: 3
% Current number of rules: 692
% New rule produced :
% [726]
% (identity double_divide identity) double_divide (((A multiply B) double_divide 
% (identity double_divide A)) double_divide B)
% <-> identity
% Current number of equations to process: 186
% Current number of ordered equations: 1
% Current number of rules: 693
% New rule produced :
% [727]
% ((identity double_divide A) multiply ((identity double_divide A) double_divide B)) double_divide 
% (identity double_divide identity) <-> B
% Current number of equations to process: 186
% Current number of ordered equations: 0
% Current number of rules: 694
% New rule produced :
% [728]
% (identity double_divide identity) double_divide (A double_divide B) <->
% (identity double_divide C) double_divide (((identity double_divide A) double_divide C) double_divide B)
% Current number of equations to process: 185
% Current number of ordered equations: 1
% Current number of rules: 695
% New rule produced :
% [729]
% (identity double_divide C) double_divide (((identity double_divide A) double_divide C) double_divide B)
% <-> (identity double_divide identity) double_divide (A double_divide B)
% Current number of equations to process: 185
% Current number of ordered equations: 0
% Current number of rules: 696
% New rule produced :
% [730]
% B <->
% (identity double_divide identity) double_divide (identity double_divide 
% ((identity double_divide A) double_divide 
% (inverse(A) double_divide B)))
% Current number of equations to process: 179
% Current number of ordered equations: 11
% Current number of rules: 697
% New rule produced :
% [731]
% B <->
% (identity double_divide identity) double_divide (((identity double_divide identity) double_divide 
% (inverse(A) double_divide B)) double_divide A)
% Current number of equations to process: 179
% Current number of ordered equations: 10
% Current number of rules: 698
% New rule produced :
% [732]
% B <->
% inverse((identity double_divide A) double_divide ((identity double_divide A) double_divide B)) double_divide 
% (identity double_divide identity)
% Current number of equations to process: 179
% Current number of ordered equations: 9
% Current number of rules: 699
% New rule produced :
% [733]
% C <->
% (identity double_divide identity) double_divide ((inverse(A) double_divide 
% ((A double_divide B) double_divide C)) double_divide B)
% Current number of equations to process: 179
% Current number of ordered equations: 8
% Current number of rules: 700
% New rule produced :
% [734]
% C <->
% inverse(identity) double_divide (((identity double_divide A) double_divide 
% ((A double_divide B) double_divide C)) double_divide B)
% Current number of equations to process: 179
% Current number of ordered equations: 7
% Current number of rules: 701
% New rule produced :
% [735]
% identity <->
% (identity double_divide identity) double_divide ((inverse(A double_divide B) double_divide 
% (identity double_divide B)) double_divide A)
% Current number of equations to process: 179
% Current number of ordered equations: 6
% Current number of rules: 702
% New rule produced :
% [736]
% (identity double_divide identity) double_divide (identity double_divide 
% ((identity double_divide A) double_divide 
% (inverse(A) double_divide B)))
% <-> B
% Current number of equations to process: 179
% Current number of ordered equations: 5
% Current number of rules: 703
% New rule produced :
% [737]
% (identity double_divide identity) double_divide ((inverse(A) double_divide 
% ((A double_divide B) double_divide C)) double_divide B)
% <-> C
% Current number of equations to process: 179
% Current number of ordered equations: 4
% Current number of rules: 704
% New rule produced :
% [738]
% (identity double_divide identity) double_divide (((identity double_divide identity) double_divide 
% (inverse(A) double_divide B)) double_divide A)
% <-> B
% Current number of equations to process: 179
% Current number of ordered equations: 3
% Current number of rules: 705
% New rule produced :
% [739]
% (identity double_divide identity) double_divide ((inverse(A double_divide B) double_divide 
% (identity double_divide B)) double_divide A)
% <-> identity
% Current number of equations to process: 179
% Current number of ordered equations: 2
% Current number of rules: 706
% New rule produced :
% [740]
% inverse(identity) double_divide (((identity double_divide A) double_divide 
% ((A double_divide B) double_divide C)) double_divide B)
% <-> C
% Current number of equations to process: 179
% Current number of ordered equations: 1
% Current number of rules: 707
% New rule produced :
% [741]
% inverse((identity double_divide A) double_divide ((identity double_divide A) double_divide B)) double_divide 
% (identity double_divide identity) <-> B
% Current number of equations to process: 179
% Current number of ordered equations: 0
% Current number of rules: 708
% New rule produced :
% [742]
% B <->
% (identity double_divide identity) double_divide (inverse(A) double_divide 
% ((identity double_divide identity) double_divide 
% (A double_divide B)))
% Current number of equations to process: 176
% Current number of ordered equations: 5
% Current number of rules: 709
% New rule produced :
% [743]
% B <->
% (identity double_divide identity) double_divide (identity double_divide 
% ((identity double_divide 
% inverse(A)) double_divide 
% (A double_divide B)))
% Current number of equations to process: 176
% Current number of ordered equations: 4
% Current number of rules: 710
% New rule produced :
% [744]
% C <->
% (identity double_divide identity) double_divide ((((inverse(A) double_divide B) double_divide C) double_divide A) double_divide B)
% Current number of equations to process: 176
% Current number of ordered equations: 3
% Current number of rules: 711
% New rule produced :
% [745]
% (identity double_divide identity) double_divide ((((inverse(A) double_divide B) double_divide C) double_divide A) double_divide B)
% <-> C
% Current number of equations to process: 176
% Current number of ordered equations: 2
% Current number of rules: 712
% New rule produced :
% [746]
% (identity double_divide identity) double_divide (inverse(A) double_divide 
% ((identity double_divide identity) double_divide 
% (A double_divide B))) <-> B
% Current number of equations to process: 176
% Current number of ordered equations: 1
% Current number of rules: 713
% New rule produced :
% [747]
% (identity double_divide identity) double_divide (identity double_divide 
% ((identity double_divide 
% inverse(A)) double_divide 
% (A double_divide B))) <-> B
% Current number of equations to process: 176
% Current number of ordered equations: 0
% Current number of rules: 714
% New rule produced :
% [748]
% B <->
% (identity double_divide identity) double_divide (inverse(A) double_divide 
% ((identity double_divide A) double_divide 
% (identity double_divide B)))
% Current number of equations to process: 173
% Current number of ordered equations: 3
% Current number of rules: 715
% New rule produced :
% [749]
% B <->
% (identity double_divide identity) double_divide (((identity double_divide 
% inverse(A)) double_divide 
% (identity double_divide B)) double_divide A)
% Current number of equations to process: 173
% Current number of ordered equations: 2
% Current number of rules: 716
% New rule produced :
% [750]
% (identity double_divide identity) double_divide (inverse(A) double_divide 
% ((identity double_divide A) double_divide 
% (identity double_divide B)))
% <-> B
% Current number of equations to process: 173
% Current number of ordered equations: 1
% Current number of rules: 717
% New rule produced :
% [751]
% (identity double_divide identity) double_divide (((identity double_divide 
% inverse(A)) double_divide 
% (identity double_divide B)) double_divide A)
% <-> B
% Current number of equations to process: 173
% Current number of ordered equations: 0
% Current number of rules: 718
% New rule produced :
% [752]
% identity double_divide identity <->
% (((identity double_divide A) double_divide ((A double_divide B) double_divide C)) double_divide B) double_divide C
% Current number of equations to process: 172
% Current number of ordered equations: 1
% Current number of rules: 719
% New rule produced :
% [753]
% (((identity double_divide A) double_divide ((A double_divide B) double_divide C)) double_divide B) double_divide C
% <-> identity double_divide identity
% Current number of equations to process: 172
% Current number of ordered equations: 0
% Current number of rules: 720
% New rule produced :
% [754]
% inverse(identity double_divide (inverse(identity) double_divide A)) <->
% ((identity double_divide B) double_divide ((B double_divide C) double_divide A)) double_divide C
% Current number of equations to process: 171
% Current number of ordered equations: 1
% Current number of rules: 721
% New rule produced :
% [755]
% ((identity double_divide B) double_divide ((B double_divide C) double_divide A)) double_divide C
% <-> inverse(identity double_divide (inverse(identity) double_divide A))
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 722
% Rule [657]
% (eq)(inverse((inverse(A) double_divide (inverse(inverse(B)) double_divide 
% (A double_divide C))) double_divide C),
% identity multiply B) -> (false) is composed into [657]
% (eq)(inverse((inverse(A) double_divide 
% (inverse(
% inverse(B)) double_divide 
% (A double_divide C))) double_divide C),
% identity multiply B) ->
% (true)
% Rule [656]
% (eq)(inverse(inverse((inverse(A) double_divide (inverse(B) double_divide 
% (A double_divide C))) double_divide C)),
% identity multiply B) -> (false) is composed into [656]
% (eq)(inverse(inverse(
% (inverse(A) double_divide 
% (inverse(B) double_divide 
% (A double_divide C))) double_divide C)),
% identity multiply B) ->
% (true)
% Rule [655]
% (eq)(inverse(inverse(A)),inverse((inverse(B) double_divide (identity double_divide 
% (B double_divide C))) double_divide C) multiply A)
% -> (false) is composed into [655]
% (eq)(inverse(inverse(A)),inverse((inverse(B) double_divide 
% (identity double_divide 
% (B double_divide C))) double_divide C) multiply A)
% -> (true)
% Rule [654]
% (eq)(inverse(inverse(A)),inverse((inverse(B) double_divide ((identity multiply A) double_divide 
% (B double_divide C))) double_divide C))
% -> (false) is composed into [654]
% (eq)(inverse(inverse(A)),inverse((inverse(B) double_divide 
% ((identity multiply A) double_divide 
% (B double_divide C))) double_divide C))
% -> (true)
% Rule [593]
% (eq)(inverse(A),identity multiply ((inverse(B) double_divide ((B double_divide C) double_divide A)) double_divide C))
% -> (false) is composed into [593]
% (eq)(inverse(A),identity multiply ((
% inverse(B) double_divide 
% (
% (B double_divide C) double_divide A)) double_divide C))
% -> (true)
% Rule [473]
% (eq)(inverse(inverse(inverse(A) double_divide B) double_divide A),
% identity multiply B) -> (false) is composed into [473]
% (eq)(inverse(inverse(
% inverse(A) double_divide B) double_divide A),
% identity multiply B) ->
% (true)
% Rule [472]
% (eq)(inverse(inverse(A) double_divide inverse(B)) double_divide B,
% identity multiply A) -> (false) is composed into [472]
% (eq)(inverse(inverse(A) double_divide 
% inverse(B)) double_divide B,
% identity multiply A) ->
% (true)
% Rule [373]
% (eq)(inverse((inverse(A) double_divide B) double_divide B),identity multiply A)
% -> (false) is composed into [373]
% (eq)(inverse((inverse(A) double_divide B) double_divide B),
% identity multiply A) -> (true)
% Rule [372]
% (eq)((inverse(inverse(A)) double_divide B) double_divide B,identity multiply A)
% -> (false) is composed into [372]
% (eq)((inverse(inverse(A)) double_divide B) double_divide B,
% identity multiply A) -> (true)
% Rule [371]
% (eq)(inverse(inverse(A)),((identity double_divide B) double_divide B) multiply A)
% -> (false) is composed into [371]
% (eq)(inverse(inverse(A)),((identity double_divide B) double_divide B) multiply A)
% -> (true)
% Rule [370]
% (eq)(inverse(inverse(A)),((identity multiply A) double_divide B) double_divide B)
% -> (false) is composed into [370]
% (eq)(inverse(inverse(A)),((identity multiply A) double_divide B) double_divide B)
% -> (true)
% Rule [288]
% (eq)(inverse(inverse(A)),(inverse(B) double_divide B) multiply A) ->
% (false) is composed into [288]
% (eq)(inverse(inverse(A)),(inverse(B) double_divide B) multiply A)
% -> (true)
% Rule [287]
% (eq)(inverse(inverse(A)),inverse(inverse(inverse(identity))) multiply A)
% -> (false) is composed into [287]
% (eq)(inverse(inverse(A)),inverse(inverse(
% inverse(identity))) multiply A)
% -> (true)
% Rule [286]
% (eq)(identity double_divide inverse(inverse(inverse(A))),identity multiply A)
% -> (false) is composed into [286]
% (eq)(identity double_divide inverse(
% inverse(
% inverse(A))),
% identity multiply A) -> (true)
% Rule [284]
% (eq)(inverse(inverse(A)),identity double_divide inverse(identity multiply A))
% -> (false) is composed into [284]
% (eq)(inverse(inverse(A)),identity double_divide 
% inverse(identity multiply A))
% -> (true)
% Rule [283]
% (eq)(inverse(inverse(identity double_divide inverse(A))),identity multiply A)
% -> (false) is composed into [283]
% (eq)(inverse(inverse(identity double_divide 
% inverse(A))),identity multiply A)
% -> (true)
% Rule [282]
% (eq)(inverse(identity double_divide inverse(inverse(A))),identity multiply A)
% -> (false) is composed into [282]
% (eq)(inverse(identity double_divide 
% inverse(inverse(A))),identity multiply A)
% -> (true)
% Rule [281]
% (eq)(inverse(inverse(A)),inverse(identity double_divide identity) multiply A)
% -> (false) is composed into [281]
% (eq)(inverse(inverse(A)),inverse(identity double_divide identity) multiply A)
% -> (true)
% Rule [280]
% (eq)(inverse(inverse(A)),inverse(identity double_divide (identity multiply A)))
% -> (false) is composed into [280]
% (eq)(inverse(inverse(A)),inverse(identity double_divide 
% (identity multiply A)))
% -> (true)
% Rule [241]
% (eq)(inverse(A multiply B),identity multiply (A double_divide B)) ->
% (false) is composed into [241]
% (eq)(inverse(A multiply B),identity multiply 
% (A double_divide B))
% -> (true)
% Rule [220]
% (eq)(inverse(inverse(A)),identity double_divide (identity double_divide A))
% -> (false) is composed into [220]
% (eq)(inverse(inverse(A)),identity double_divide 
% (identity double_divide A))
% -> (true)
% Rule [191]
% (eq)(inverse(inverse(A)),(identity double_divide identity) multiply A)
% -> (false) is composed into [191]
% (eq)(inverse(inverse(A)),(identity double_divide identity) multiply A)
% -> (true)
% Rule [190]
% (eq)(inverse(identity multiply inverse(A)),identity multiply A) ->
% (false) is composed into [190]
% (eq)(inverse(identity multiply inverse(A)),
% identity multiply A) -> (true)
% Rule [189]
% (eq)(identity multiply inverse(inverse(A)),identity multiply A) ->
% (false) is composed into [189]
% (eq)(identity multiply inverse(inverse(A)),
% identity multiply A) -> (true)
% Rule [188]
% (eq)(inverse(inverse(A)),(identity multiply identity) multiply A) ->
% (false) is composed into [188]
% (eq)(inverse(inverse(A)),(identity multiply identity) multiply A)
% -> (true)
% Rule [187]
% (eq)(inverse(inverse(A)),identity multiply (identity multiply A)) ->
% (false) is composed into [187]
% (eq)(inverse(inverse(A)),identity multiply 
% (identity multiply A))
% -> (true)
% Rule [186]
% (eq)(inverse(inverse(inverse(inverse(A)))),identity multiply A) ->
% (false) is composed into [186]
% (eq)(inverse(inverse(inverse(inverse(A)))),
% identity multiply A) -> (true)
% Rule [185]
% (eq)(inverse(inverse(A)),inverse(inverse(identity)) multiply A) ->
% (false) is composed into [185]
% (eq)(inverse(inverse(A)),inverse(inverse(identity)) multiply A)
% -> (true)
% Rule [184]
% (eq)(inverse(inverse(A)),inverse(inverse(identity multiply A))) ->
% (false) is composed into [184]
% (eq)(inverse(inverse(A)),inverse(inverse(
% identity multiply A)))
% -> (true)
% Rule [129]
% (eq)(inverse(identity),identity multiply inverse(inverse(identity))) ->
% (false) is composed into [129]
% (eq)(inverse(identity),identity multiply 
% inverse(inverse(identity)))
% -> (true)
% Rule [128]
% (eq)(inverse(A),identity multiply (identity double_divide A)) -> (false) is composed into 
% [128] (eq)(inverse(A),identity multiply (identity double_divide A)) -> (true)
% Rule [108]
% (eq)(inverse(inverse(A)),inverse(identity double_divide A)) -> (false) is composed into 
% [108] (eq)(inverse(inverse(A)),inverse(identity double_divide A)) -> (true)
% Rule [103]
% (eq)(identity double_divide inverse(A),identity multiply A) -> (false) is composed into 
% [103] (eq)(identity double_divide inverse(A),identity multiply A) -> (true)
% Rule [102]
% (eq)(inverse(identity double_divide A),identity multiply A) -> (false) is composed into 
% [102] (eq)(inverse(identity double_divide A),identity multiply A) -> (true)
% Rule [101] (eq)(inverse(inverse(A)),inverse(identity) multiply A) -> (false) is composed into 
% [101] (eq)(inverse(inverse(A)),inverse(identity) multiply A) -> (true)
% Rule [50] (eq)(identity,identity multiply inverse(identity)) -> (false) is composed into 
% [50] (eq)(identity,identity multiply inverse(identity)) -> (true)
% Rule [37] (eq)(inverse(identity),identity multiply identity) -> (false) is composed into 
% [37] (eq)(inverse(identity),identity multiply identity) -> (true)
% Rule [34] (eq)(inverse(inverse(A)),A) -> (false) is composed into [34]
% (eq)(
% inverse(
% inverse(A)),A)
% -> (true)
% Rule [33] (eq)(A,identity multiply A) -> (false) is composed into [33]
% (eq)(A,
% identity multiply A)
% -> (true)
% Rule [18] (eq)(inverse(inverse(A)),identity multiply A) -> (false) is composed into 
% [18] (eq)(inverse(inverse(A)),identity multiply A) -> (true)
% New rule produced : [756] (false) -> (true)
% The conjecture has been reduced. 
% Conjecture is now:
% Trivial
% 
% Current number of equations to process: 186
% Current number of ordered equations: 0
% Current number of rules: 723
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
% 
% The following 5 rules have been used:
% [6] 
% inverse(inverse(A)) <-> A; trace = in the starting set
% [8] identity multiply A <-> A; trace = in the starting set
% [18] (eq)(inverse(inverse(A)),identity multiply A) -> (false); trace = in the starting set
% [33] (eq)(A,identity multiply A) -> (false); trace = Cp of 18 and 6
% [756] (false) -> (true); trace = Cp of 33 and 8
% The current conjecture inverse(inverse(A)) = identity multiply A
% is true and the solution is the identity
% The current conjecture 
% identity multiply A = inverse(inverse(A))
% is true and the solution is the identity
% The current conjecture 
% identity multiply A = inverse(inverse(A))
% is true and the solution is the identity
% The current conjecture 
% A multiply B = A multiply B
% is true and the solution is the identity
% The current conjecture 
% A multiply B = A multiply B
% is true and the solution is the identity
% The current conjecture 
% inverse(A) = inverse(identity) double_divide A
% is true and the solution is the identity
% The current conjecture 
% inverse(identity) double_divide A = inverse(A)
% is true and the solution is the identity
% The current conjecture 
% inverse(identity) = inverse(A) double_divide A
% is true and the solution is the identity
% The current conjecture 
% inverse(A) double_divide A = inverse(identity)
% is true and the solution is the identity
% The current conjecture 
% inverse(identity) = inverse(A) multiply A
% is true and the solution is the identity
% The current conjecture 
% inverse(identity) = inverse(A) multiply A
% is true and the solution is the identity
% The current conjecture 
% inverse(A) multiply A = inverse(identity)
% is true and the solution is the identity
% The current conjecture 
% inverse(A) multiply A = inverse(identity)
% is true and the solution is the identity
% The current conjecture 
% inverse(A) = inverse(identity) double_divide A
% is true and the solution is the identity
% The current conjecture 
% inverse(identity) double_divide A = inverse(A)
% is true and the solution is the identity
% The current conjecture A = 
% inverse(inverse(inverse(inverse(A))))
% is true and the solution is the identity
% The current conjecture 
% inverse(inverse(inverse(inverse(A)))) = A
% is true and the solution is the identity
% The current conjecture 
% inverse(inverse(inverse(A))) = identity double_divide A
% is true and the solution is the identity
% The current conjecture 
% identity double_divide A = inverse(inverse(inverse(A)))
% is true and the solution is the identity
% The current conjecture identity = 
% inverse(inverse(A) double_divide A)
% is true and the solution is the identity
% The current conjecture 
% inverse(inverse(A) double_divide A) = identity
% is true and the solution is the identity
% The current conjecture 
% inverse(inverse(identity)) = inverse(A) double_divide A
% is true and the solution is the identity
% The current conjecture 
% inverse(A) double_divide A = inverse(inverse(identity))
% is true and the solution is the identity
% The current conjecture 
% inverse(A multiply B) = A double_divide B
% is true and the solution is the identity
% The current conjecture 
% A double_divide B = inverse(A multiply B)
% is true and the solution is the identity
% The current conjecture 
% identity multiply A = identity double_divide inverse(A)
% is true and the solution is the identity
% The current conjecture 
% identity multiply A = identity double_divide inverse(A)
% is true and the solution is the identity
% The current conjecture 
% identity double_divide inverse(A) = identity multiply A
% is true and the solution is the identity
% The current conjecture 
% identity double_divide inverse(A) = identity multiply A
% is true and the solution is the identity
% The current conjecture 
% inverse(A) multiply A = identity double_divide identity
% is true and the solution is the identity
% The current conjecture 
% inverse(A) multiply A = identity double_divide identity
% is true and the solution is the identity
% The current conjecture 
% identity double_divide identity = inverse(A) multiply A
% is true and the solution is the identity
% The current conjecture 
% identity double_divide identity = inverse(A) multiply A
% is true and the solution is the identity
% The current conjecture 
% inverse(A) = inverse(inverse(identity)) double_divide A
% is true and the solution is the identity
% The current conjecture 
% inverse(inverse(identity)) double_divide A = inverse(A)
% is true and the solution is the identity
% The current conjecture 
% inverse(A) double_divide A = inverse(B) double_divide B
% is true and the solution is the identity
% The current conjecture 
% inverse(B) double_divide B = inverse(A) double_divide A
% is true and the solution is the identity
% The current conjecture 
% inverse(identity) = (identity double_divide A) double_divide A
% is true and the solution is the identity
% The current conjecture 
% (identity double_divide A) double_divide A = inverse(identity)
% is true and the solution is the identity
% The current conjecture 
% inverse(A) = (A double_divide B) multiply B
% is true and the solution is the identity
% The current conjecture 
% inverse(A) = (A double_divide B) multiply B
% is true and the solution is the identity
% The current conjecture 
% (A double_divide B) multiply B = inverse(A)
% is true and the solution is the identity
% The current conjecture 
% (A double_divide B) multiply B = inverse(A)
% is true and the solution is the identity
% The current conjecture 
% inverse(inverse(inverse(A))) = inverse(identity) double_divide A
% is true and the solution is the identity
% The current conjecture 
% inverse(identity) double_divide A = inverse(inverse(inverse(A)))
% is true and the solution is the identity
% The current conjecture identity = 
% inverse(inverse(inverse(A) double_divide A))
% is true and the solution is the identity
% The current conjecture identity = 
% inverse(inverse(inverse(A))) double_divide A
% is true and the solution is the identity
% The current conjecture 
% inverse(inverse(inverse(A) double_divide A)) = identity
% is true and the solution is the identity
% The current conjecture 
% inverse(inverse(inverse(A))) double_divide A = identity
% is true and the solution is the identity
% The current conjecture identity = 
% inverse((identity double_divide A) double_divide A)
% is true and the solution is the identity
% The current conjecture identity = 
% (inverse(identity) double_divide A) double_divide A
% is true and the solution is the identity
% The current conjecture 
% inverse((identity double_divide A) double_divide A) = identity
% is true and the solution is the identity
% The current conjecture 
% (inverse(identity) double_divide A) double_divide A = identity
% is true and the solution is the identity
% The current conjecture 
% inverse(inverse(A)) = (A double_divide B) double_divide B
% is true and the solution is the identity
% The current conjecture 
% (A double_divide B) double_divide B = inverse(inverse(A))
% is true and the solution is the identity
% The current conjecture 
% (A double_divide B) multiply B = identity double_divide A
% is true and the solution is the identity
% The current conjecture 
% A double_divide B = identity double_divide (A multiply B)
% is true and the solution is the identity
% The current conjecture 
% identity double_divide A = (A double_divide B) multiply B
% is true and the solution is the identity
% The current conjecture 
% identity double_divide A = (A double_divide B) multiply B
% is true and the solution is the identity
% The current conjecture 
% identity double_divide (A multiply B) = A double_divide B
% is true and the solution is the identity
% The current conjecture 
% (A double_divide B) multiply B = identity double_divide A
% is true and the solution is the identity
% The current conjecture 
% inverse(B) = (inverse(A) double_divide A) double_divide B
% is true and the solution is the identity
% The current conjecture 
% (inverse(A) double_divide A) double_divide B = inverse(B)
% is true and the solution is the identity
% The current conjecture 
% (identity double_divide B) double_divide B = inverse(A) double_divide A
% is true and the solution is the identity
% The current conjecture 
% inverse(A) double_divide A = (identity double_divide B) double_divide B
% is true and the solution is the identity
% The current conjecture 
% inverse(A double_divide B) = inverse(inverse(A multiply B))
% is true and the solution is the identity
% The current conjecture 
% inverse(inverse(A multiply B)) = inverse(A double_divide B)
% is true and the solution is the identity
% The current conjecture 
% inverse(A multiply B) = identity multiply (A double_divide B)
% is true and the solution is the identity
% The current conjecture 
% inverse(A multiply B) = identity multiply (A double_divide B)
% is true and the solution is the identity
% The current conjecture 
% identity multiply (A double_divide B) = inverse(A multiply B)
% is true and the solution is the identity
% The current conjecture 
% identity multiply (A double_divide B) = inverse(A multiply B)
% is true and the solution is the identity
% The current conjecture 
% inverse(A) = identity double_divide inverse(identity double_divide A)
% is true and the solution is the identity
% The current conjecture 
% identity double_divide inverse(identity double_divide A) = inverse(A)
% is true and the solution is the identity
% The current conjecture 
% inverse(A) = inverse(inverse(inverse(identity) double_divide A))
% is true and the solution is the identity
% The current conjecture 
% inverse(identity) = inverse(inverse(inverse(A))) double_divide A
% is true and the solution is the identity
% The current conjecture 
% inverse(inverse(inverse(identity) double_divide A)) = inverse(A)
% is true and the solution is the identity
% The current conjecture 
% inverse(inverse(inverse(A))) double_divide A = inverse(identity)
% is true and the solution is the identity
% The current conjecture 
% inverse(A) = (inverse(B) multiply A) double_divide B
% is true and the solution is the identity
% The current conjecture 
% inverse(B) = (inverse(A) multiply B) double_divide A
% is true and the solution is the identity
% The current conjecture 
% (inverse(A) multiply B) double_divide A = inverse(B)
% is true and the solution is the identity
% The current conjecture 
% (inverse(B) multiply A) double_divide B = inverse(A)
% is true and the solution is the identity
% The current conjecture 
% inverse(inverse(B) double_divide A) = inverse(A) double_divide B
% is true and the solution is the identity
% The current conjecture 
% inverse(A) double_divide B = inverse(inverse(B) double_divide A)
% is true and the solution is the identity
% The current conjecture 
% (A double_divide B) double_divide B = (A double_divide C) double_divide C
% is true and the solution is the identity
% The current conjecture 
% (A double_divide C) double_divide C = (A double_divide B) double_divide B
% is true and the solution is the identity
% The current conjecture A = 
% inverse((inverse(A) double_divide B) double_divide B)
% is true and the solution is the identity
% The current conjecture A = 
% (inverse(inverse(A)) double_divide B) double_divide B
% is true and the solution is the identity
% The current conjecture 
% inverse((inverse(A) double_divide B) double_divide B) = A
% is true and the solution is the identity
% The current conjecture 
% (inverse(inverse(A)) double_divide B) double_divide B = A
% is true and the solution is the identity
% The current conjecture 
% identity double_divide A = (inverse(A) double_divide B) double_divide B
% is true and the solution is the identity
% The current conjecture 
% (inverse(A) double_divide B) double_divide B = identity double_divide A
% is true and the solution is the identity
% The current conjecture 
% inverse(inverse(inverse(A double_divide B))) = A multiply B
% is true and the solution is the identity
% The current conjecture 
% A multiply B = inverse(inverse(inverse(A double_divide B)))
% is true and the solution is the identity
% The current conjecture identity = 
% (A multiply B) double_divide (A double_divide B)
% is true and the solution is the identity
% The current conjecture 
% (A multiply B) double_divide (A double_divide B) = identity
% is true and the solution is the identity
% The current conjecture A = 
% inverse(inverse((A double_divide B) double_divide B))
% is true and the solution is the identity
% The current conjecture A = 
% inverse(inverse(A double_divide B)) double_divide B
% is true and the solution is the identity
% The current conjecture 
% inverse(inverse((A double_divide B) double_divide B)) = A
% is true and the solution is the identity
% The current conjecture 
% inverse(inverse(A double_divide B)) double_divide B = A
% is true and the solution is the identity
% The current conjecture 
% inverse(inverse(A multiply B)) = identity double_divide (A double_divide B)
% is true and the solution is the identity
% The current conjecture 
% identity double_divide (A double_divide B) = inverse(inverse(A multiply B))
% is true and the solution is the identity
% The current conjecture 
% identity multiply (A double_divide B) = identity double_divide (A multiply B)
% is true and the solution is the identity
% The current conjecture 
% identity double_divide (A multiply B) = identity multiply (A double_divide B)
% is true and the solution is the identity
% The current conjecture 
% identity double_divide (A multiply B) = identity multiply (A double_divide B)
% is true and the solution is the identity
% The current conjecture 
% identity multiply (A double_divide B) = identity double_divide (A multiply B)
% is true and the solution is the identity
% The current conjecture 
% A multiply B = inverse(identity) double_divide (A double_divide B)
% is true and the solution is the identity
% The current conjecture 
% inverse(identity) double_divide (A double_divide B) = A multiply B
% is true and the solution is the identity
% The current conjecture identity = 
% (A multiply B) double_divide (A double_divide B)
% is true and the solution is the identity
% The current conjecture 
% (A multiply B) double_divide (A double_divide B) = identity
% is true and the solution is the identity
% The current conjecture identity = 
% inverse(identity double_divide inverse(A)) double_divide A
% is true and the solution is the identity
% The current conjecture 
% inverse(identity double_divide inverse(A)) double_divide A = identity
% is true and the solution is the identity
% The current conjecture A = 
% inverse((inverse(A) double_divide B) double_divide B)
% is true and the solution is the identity
% The current conjecture B = 
% inverse((inverse(A) double_divide A) double_divide B)
% is true and the solution is the identity
% The current conjecture 
% inverse((inverse(A) double_divide A) double_divide B) = B
% is true and the solution is the identity
% The current conjecture 
% inverse((inverse(A) double_divide B) double_divide B) = A
% is true and the solution is the identity
% The current conjecture 
% inverse(A) = ((identity double_divide A) double_divide B) double_divide B
% is true and the solution is the identity
% The current conjecture 
% inverse(B) = ((identity double_divide A) double_divide A) double_divide B
% is true and the solution is the identity
% The current conjecture 
% ((identity double_divide A) double_divide B) double_divide B = inverse(A)
% is true and the solution is the identity
% The current conjecture 
% ((identity double_divide A) double_divide A) double_divide B = inverse(B)
% is true and the solution is the identity
% The current conjecture 
% inverse(B) = inverse(A double_divide B) double_divide inverse(A)
% is true and the solution is the identity
% The current conjecture 
% inverse(A double_divide B) double_divide inverse(A) = inverse(B)
% is true and the solution is the identity
% 
% New rule produced :
% [757]
% (eq)(B,inverse(inverse(A double_divide B) double_divide inverse(A))) ->
% (true)
% Current number of equations to process: 176
% Current number of ordered equations: 0
% Current number of rules: 724
% New rule produced : [758] (eq)(A,inverse(identity double_divide A)) -> (true)
% Current number of equations to process: 185
% Current number of ordered equations: 0
% Current number of rules: 725
% New rule produced :
% [759] (eq)(A,identity double_divide (identity double_divide A)) -> (true)
% Current number of equations to process: 186
% Current number of ordered equations: 0
% Current number of rules: 726
% New rule produced :
% [760] (eq)(A,inverse(identity double_divide (identity multiply A))) -> (true)
% Current number of equations to process: 184
% Current number of ordered equations: 1
% Current number of rules: 727
% New rule produced :
% [761] (eq)(A,inverse(identity double_divide identity) multiply A) -> (true)
% Current number of equations to process: 184
% Current number of ordered equations: 0
% Current number of rules: 728
% New rule produced :
% [762] (eq)(A,identity double_divide inverse(identity multiply A)) -> (true)
% Current number of equations to process: 182
% Current number of ordered equations: 1
% Current number of rules: 729
% New rule produced :
% [763] (eq)(A,(identity double_divide inverse(identity)) multiply A) -> (true)
% Current number of equations to process: 182
% Current number of ordered equations: 0
% Current number of rules: 730
% New rule produced :
% [764] (eq)(A,inverse(inverse(inverse(identity))) multiply A) -> (true)
% Current number of equations to process: 181
% Current number of ordered equations: 0
% Current number of rules: 731
% New rule produced :
% [765] (eq)(A,(inverse(B) double_divide B) multiply A) -> (true)
% Rule
% [763] (eq)(A,(identity double_divide inverse(identity)) multiply A) -> (true)
% collapsed.
% Current number of equations to process: 180
% Current number of ordered equations: 0
% Current number of rules: 731
% New rule produced : [766] (eq)(inverse(identity),identity) -> (true)
% Current number of equations to process: 197
% Current number of ordered equations: 0
% Current number of rules: 732
% New rule produced : [767] (eq)(identity,inverse(identity)) -> (true)
% Current number of equations to process: 196
% Current number of ordered equations: 0
% Current number of rules: 733
% New rule produced : [768] (eq)(inverse(identity double_divide A),A) -> (true)
% Current number of equations to process: 196
% Current number of ordered equations: 1
% Current number of rules: 734
% New rule produced : [769] (eq)(identity double_divide inverse(A),A) -> (true)
% Current number of equations to process: 196
% Current number of ordered equations: 0
% Current number of rules: 735
% New rule produced : [770] (eq)(inverse(A),identity double_divide A) -> (true)
% Current number of equations to process: 195
% Current number of ordered equations: 0
% Current number of rules: 736
% New rule produced :
% [771] (eq)(inverse(identity),inverse(inverse(identity))) -> (true)
% Current number of equations to process: 194
% Current number of ordered equations: 0
% Current number of rules: 737
% New rule produced :
% [772] (eq)(inverse(inverse(inverse(inverse(A)))),A) -> (true)
% Current number of equations to process: 196
% Current number of ordered equations: 0
% Current number of rules: 738
% New rule produced :
% [773] (eq)(identity multiply inverse(inverse(A)),A) -> (true)
% Current number of equations to process: 194
% Current number of ordered equations: 1
% Current number of rules: 739
% New rule produced :
% [774] (eq)(inverse(identity multiply inverse(A)),A) -> (true)
% Current number of equations to process: 194
% Current number of ordered equations: 0
% Current number of rules: 740
% New rule produced :
% [775] (eq)(inverse(identity double_divide inverse(inverse(A))),A) -> (true)
% Current number of equations to process: 192
% Current number of ordered equations: 1
% Current number of rules: 741
% New rule produced :
% [776] (eq)(inverse(inverse(identity double_divide inverse(A))),A) -> (true)
% Current number of equations to process: 192
% Current number of ordered equations: 0
% Current number of rules: 742
% New rule produced :
% [777] (eq)(identity double_divide inverse(inverse(inverse(A))),A) -> (true)
% Current number of equations to process: 190
% Current number of ordered equations: 0
% Current number of rules: 743
% New rule produced :
% [778] (eq)(inverse(A multiply B),A double_divide B) -> (true)
% Current number of equations to process: 189
% Current number of ordered equations: 0
% Current number of rules: 744
% New rule produced :
% [779] inverse(identity multiply identity) <-> identity multiply identity
% Current number of equations to process: 200
% Current number of ordered equations: 1
% Current number of rules: 745
% New rule produced :
% [780] identity multiply identity <-> inverse(identity multiply identity)
% Current number of equations to process: 200
% Current number of ordered equations: 0
% Current number of rules: 746
% New rule produced :
% [781]
% inverse(identity double_divide inverse(identity)) <->
% identity multiply identity
% Current number of equations to process: 200
% Current number of ordered equations: 3
% Current number of rules: 747
% New rule produced :
% [782]
% inverse(inverse(identity double_divide identity)) <->
% identity multiply identity
% Current number of equations to process: 200
% Current number of ordered equations: 2
% Current number of rules: 748
% New rule produced :
% [783]
% identity multiply identity <->
% inverse(identity double_divide inverse(identity))
% Current number of equations to process: 200
% Current number of ordered equations: 1
% Current number of rules: 749
% New rule produced :
% [784]
% identity multiply identity <->
% inverse(inverse(identity double_divide identity))
% Current number of equations to process: 200
% Current number of ordered equations: 0
% Current number of rules: 750
% New rule produced :
% [785]
% identity multiply identity <->
% identity double_divide inverse(inverse(identity))
% Current number of equations to process: 198
% Current number of ordered equations: 1
% Current number of rules: 751
% New rule produced :
% [786]
% identity double_divide inverse(inverse(identity)) <->
% identity multiply identity
% Current number of equations to process: 198
% Current number of ordered equations: 0
% Current number of rules: 752
% New rule produced :
% [787]
% inverse(inverse(inverse(inverse(identity)))) <-> identity multiply identity
% Current number of equations to process: 197
% Current number of ordered equations: 1
% Current number of rules: 753
% New rule produced :
% [788]
% identity multiply identity <-> inverse(inverse(inverse(inverse(identity))))
% Current number of equations to process: 197
% Current number of ordered equations: 0
% Current number of rules: 754
% New rule produced :
% [789] inverse(inverse(A) double_divide A) <-> identity multiply identity
% Rule
% [781]
% inverse(identity double_divide inverse(identity)) <->
% identity multiply identity collapsed.
% Current number of equations to process: 196
% Current number of ordered equations: 1
% Current number of rules: 754
% New rule produced :
% [790] identity multiply identity <-> inverse(inverse(A) double_divide A)
% Rule
% [783]
% identity multiply identity <->
% inverse(identity double_divide inverse(identity)) collapsed.
% Current number of equations to process: 196
% Current number of ordered equations: 0
% Current number of rules: 754
% New rule produced :
% [791]
% inverse((identity double_divide A) double_divide A) <->
% identity multiply identity
% Current number of equations to process: 194
% Current number of ordered equations: 3
% Current number of rules: 755
% New rule produced :
% [792]
% identity multiply identity <->
% inverse((identity double_divide A) double_divide A)
% Current number of equations to process: 194
% Current number of ordered equations: 2
% Current number of rules: 756
% New rule produced :
% [793]
% identity multiply identity <->
% (inverse(identity) double_divide A) double_divide A
% Current number of equations to process: 194
% Current number of ordered equations: 1
% Current number of rules: 757
% New rule produced :
% [794]
% (inverse(identity) double_divide A) double_divide A <->
% identity multiply identity
% Current number of equations to process: 194
% Current number of ordered equations: 0
% Current number of rules: 758
% New rule produced :
% [795]
% (eq)(inverse(identity multiply identity),identity multiply identity) ->
% (true)
% Current number of equations to process: 196
% Current number of ordered equations: 0
% Current number of rules: 759
% New rule produced :
% [796]
% identity multiply identity <->
% inverse(identity double_divide inverse(A)) double_divide A
% Current number of equations to process: 195
% Current number of ordered equations: 1
% Current number of rules: 760
% New rule produced :
% [797]
% inverse(identity double_divide inverse(A)) double_divide A <->
% identity multiply identity
% Current number of equations to process: 195
% Current number of ordered equations: 0
% Current number of rules: 761
% New rule produced :
% [798]
% inverse(A) <->
% identity double_divide inverse((identity multiply identity) double_divide A)
% Current number of equations to process: 194
% Current number of ordered equations: 1
% Current number of rules: 762
% New rule produced :
% [799]
% identity double_divide inverse((identity multiply identity) double_divide A)
% <-> inverse(A)
% Current number of equations to process: 194
% Current number of ordered equations: 0
% Current number of rules: 763
% New rule produced :
% [800]
% (eq)(A,((identity multiply A) double_divide B) double_divide B) -> (true)
% Current number of equations to process: 192
% Current number of ordered equations: 1
% Current number of rules: 764
% New rule produced :
% [801]
% (eq)(A,((identity double_divide B) double_divide B) multiply A) -> (true)
% Current number of equations to process: 192
% Current number of ordered equations: 0
% Current number of rules: 765
% New rule produced :
% [802] (eq)((inverse(inverse(A)) double_divide B) double_divide B,A) -> (true)
% Current number of equations to process: 190
% Current number of ordered equations: 1
% Current number of rules: 766
% New rule produced :
% [803] (eq)(inverse((inverse(A) double_divide B) double_divide B),A) -> (true)
% Current number of equations to process: 190
% Current number of ordered equations: 0
% Current number of rules: 767
% New rule produced :
% [804] inverse(identity) <-> identity multiply inverse(inverse(identity))
% Current number of equations to process: 201
% Current number of ordered equations: 1
% Current number of rules: 768
% New rule produced :
% [805] identity multiply inverse(inverse(identity)) <-> inverse(identity)
% Current number of equations to process: 201
% Current number of ordered equations: 0
% Current number of rules: 769
% New rule produced :
% [806] inverse(identity) <-> identity multiply (identity multiply identity)
% Current number of equations to process: 200
% Current number of ordered equations: 1
% Current number of rules: 770
% New rule produced :
% [807] identity multiply (identity multiply identity) <-> inverse(identity)
% Current number of equations to process: 200
% Current number of ordered equations: 0
% Current number of rules: 771
% New rule produced :
% [808] (eq)(inverse(identity multiply identity),identity) -> (true)
% Current number of equations to process: 199
% Current number of ordered equations: 0
% Current number of rules: 772
% New rule produced :
% [809] (eq)(inverse(inverse(identity)),inverse(identity)) -> (true)
% Current number of equations to process: 198
% Current number of ordered equations: 0
% Current number of rules: 773
% New rule produced :
% [810]
% inverse(identity) <->
% identity multiply inverse(identity double_divide identity)
% Current number of equations to process: 197
% Current number of ordered equations: 1
% Current number of rules: 774
% New rule produced :
% [811]
% identity multiply inverse(identity double_divide identity) <->
% inverse(identity)
% Current number of equations to process: 197
% Current number of ordered equations: 0
% Current number of rules: 775
% New rule produced :
% [812]
% inverse(identity) <->
% identity multiply (identity double_divide inverse(identity))
% Current number of equations to process: 195
% Current number of ordered equations: 3
% Current number of rules: 776
% New rule produced :
% [813]
% inverse(identity) <->
% identity double_divide inverse(identity multiply identity)
% Current number of equations to process: 195
% Current number of ordered equations: 2
% Current number of rules: 777
% New rule produced :
% [814]
% identity multiply (identity double_divide inverse(identity)) <->
% inverse(identity)
% Current number of equations to process: 195
% Current number of ordered equations: 1
% Current number of rules: 778
% New rule produced :
% [815]
% identity double_divide inverse(identity multiply identity) <->
% inverse(identity)
% Current number of equations to process: 195
% Current number of ordered equations: 0
% Current number of rules: 779
% New rule produced :
% [816] inverse(identity) <-> identity multiply (inverse(A) double_divide A)
% Rule
% [812]
% inverse(identity) <->
% identity multiply (identity double_divide inverse(identity)) collapsed.
% Current number of equations to process: 194
% Current number of ordered equations: 1
% Current number of rules: 779
% New rule produced :
% [817] identity multiply (inverse(A) double_divide A) <-> inverse(identity)
% Rule
% [814]
% identity multiply (identity double_divide inverse(identity)) <->
% inverse(identity) collapsed.
% Current number of equations to process: 194
% Current number of ordered equations: 0
% Current number of rules: 779
% New rule produced :
% [818]
% inverse(identity) <->
% identity multiply ((identity double_divide A) double_divide A)
% Current number of equations to process: 194
% Current number of ordered equations: 3
% Current number of rules: 780
% New rule produced :
% [819]
% inverse(identity) <->
% ((identity multiply identity) double_divide A) double_divide A
% Current number of equations to process: 194
% Current number of ordered equations: 2
% Current number of rules: 781
% New rule produced :
% [820]
% identity multiply ((identity double_divide A) double_divide A) <->
% inverse(identity)
% Current number of equations to process: 194
% Current number of ordered equations: 1
% Current number of rules: 782
% New rule produced :
% [821]
% ((identity multiply identity) double_divide A) double_divide A <->
% inverse(identity)
% Current number of equations to process: 194
% Current number of ordered equations: 0
% Current number of rules: 783
% New rule produced :
% [822]
% (eq)(identity double_divide identity,identity multiply identity) -> (true)
% Current number of equations to process: 218
% Current number of ordered equations: 0
% Current number of rules: 784
% New rule produced :
% [823]
% (eq)(inverse(identity),inverse(identity double_divide identity)) -> (true)
% Current number of equations to process: 217
% Current number of ordered equations: 0
% Current number of rules: 785
% New rule produced :
% [824]
% (eq)(inverse(identity),inverse(inverse(identity multiply identity))) ->
% (true)
% Current number of equations to process: 219
% Current number of ordered equations: 1
% Current number of rules: 786
% New rule produced :
% [825]
% (eq)(inverse(inverse(inverse(identity))),identity multiply identity) ->
% (true)
% Current number of equations to process: 219
% Current number of ordered equations: 0
% Current number of rules: 787
% New rule produced :
% [826]
% (eq)(inverse(identity),identity multiply (identity multiply identity)) ->
% (true)
% Current number of equations to process: 217
% Current number of ordered equations: 1
% Current number of rules: 788
% New rule produced :
% [827]
% (eq)(identity multiply inverse(identity),identity multiply identity) ->
% (true)
% Current number of equations to process: 217
% Current number of ordered equations: 0
% Current number of rules: 789
% New rule produced :
% [828]
% (eq)(inverse(identity),identity double_divide (identity double_divide identity))
% -> (true)
% Current number of equations to process: 216
% Current number of ordered equations: 0
% Current number of rules: 790
% New rule produced :
% [829]
% (eq)(inverse(identity),identity multiply inverse(identity double_divide identity))
% -> (true)
% Current number of equations to process: 212
% Current number of ordered equations: 3
% Current number of rules: 791
% New rule produced :
% [830]
% (eq)(inverse(identity),inverse(identity double_divide (identity multiply identity)))
% -> (true)
% Current number of equations to process: 212
% Current number of ordered equations: 2
% Current number of rules: 792
% New rule produced :
% [831]
% (eq)(inverse(identity double_divide inverse(identity)),identity multiply identity)
% -> (true)
% Current number of equations to process: 212
% Current number of ordered equations: 1
% Current number of rules: 793
% New rule produced :
% [832]
% (eq)(inverse(inverse(identity double_divide identity)),identity multiply identity)
% -> (true)
% Current number of equations to process: 212
% Current number of ordered equations: 0
% Current number of rules: 794
% New rule produced :
% [833]
% (eq)(inverse(identity),identity multiply (identity double_divide inverse(identity)))
% -> (true)
% Current number of equations to process: 208
% Current number of ordered equations: 2
% Current number of rules: 795
% New rule produced :
% [834]
% (eq)(inverse(identity),identity double_divide inverse(identity multiply identity))
% -> (true)
% Current number of equations to process: 208
% Current number of ordered equations: 1
% Current number of rules: 796
% New rule produced :
% [835]
% (eq)(identity double_divide inverse(inverse(identity)),identity multiply identity)
% -> (true)
% Current number of equations to process: 208
% Current number of ordered equations: 0
% Current number of rules: 797
% New rule produced :
% [836]
% (eq)(inverse(identity),identity multiply inverse(inverse(inverse(identity))))
% -> (true)
% Current number of equations to process: 207
% Current number of ordered equations: 0
% Current number of rules: 798
% New rule produced :
% [837]
% (eq)(inverse(identity),identity multiply (inverse(A) double_divide A)) ->
% (true)
% Rule
% [833]
% (eq)(inverse(identity),identity multiply (identity double_divide inverse(identity)))
% -> (true) collapsed.
% Current number of equations to process: 205
% Current number of ordered equations: 1
% Current number of rules: 798
% New rule produced :
% [838]
% (eq)(inverse(inverse(A) double_divide A),identity multiply identity) ->
% (true)
% Rule
% [831]
% (eq)(inverse(identity double_divide inverse(identity)),identity multiply identity)
% -> (true) collapsed.
% Current number of equations to process: 205
% Current number of ordered equations: 0
% Current number of rules: 798
% New rule produced :
% [839]
% inverse(identity multiply identity) <->
% identity double_divide inverse(identity)
% Current number of equations to process: 218
% Current number of ordered equations: 1
% Current number of rules: 799
% New rule produced :
% [840]
% identity double_divide inverse(identity) <->
% inverse(identity multiply identity)
% Current number of equations to process: 218
% Current number of ordered equations: 0
% Current number of rules: 800
% New rule produced :
% [841] inverse(identity multiply identity) <-> inverse(A) double_divide A
% Rule
% [839]
% inverse(identity multiply identity) <->
% identity double_divide inverse(identity) collapsed.
% Current number of equations to process: 217
% Current number of ordered equations: 1
% Current number of rules: 800
% New rule produced :
% [842] inverse(A) double_divide A <-> inverse(identity multiply identity)
% Rule
% [840]
% identity double_divide inverse(identity) <->
% inverse(identity multiply identity) collapsed.
% Current number of equations to process: 217
% Current number of ordered equations: 0
% Current number of rules: 800
% New rule produced :
% [843] A <-> inverse(identity multiply identity) multiply A
% Current number of equations to process: 216
% Current number of ordered equations: 1
% Current number of rules: 801
% New rule produced :
% [844] inverse(identity multiply identity) multiply A <-> A
% Current number of equations to process: 216
% Current number of ordered equations: 0
% Current number of rules: 802
% New rule produced :
% [845] inverse(A) <-> inverse(identity multiply identity) double_divide A
% Rule
% [813]
% inverse(identity) <->
% identity double_divide inverse(identity multiply identity) collapsed.
% Current number of equations to process: 215
% Current number of ordered equations: 1
% Current number of rules: 802
% New rule produced :
% [846] inverse(identity multiply identity) double_divide A <-> inverse(A)
% Rule
% [815]
% identity double_divide inverse(identity multiply identity) <->
% inverse(identity) collapsed.
% Current number of equations to process: 215
% Current number of ordered equations: 0
% Current number of rules: 802
% New rule produced :
% [847]
% inverse(identity multiply identity) <->
% (identity double_divide A) double_divide A
% Current number of equations to process: 214
% Current number of ordered equations: 1
% Current number of rules: 803
% New rule produced :
% [848]
% (identity double_divide A) double_divide A <->
% inverse(identity multiply identity)
% Current number of equations to process: 214
% Current number of ordered equations: 0
% Current number of rules: 804
% New rule produced :
% [849] A <-> inverse(inverse(identity multiply identity) double_divide A)
% Current number of equations to process: 213
% Current number of ordered equations: 1
% Current number of rules: 805
% New rule produced :
% [850] inverse(inverse(identity multiply identity) double_divide A) <-> A
% Current number of equations to process: 213
% Current number of ordered equations: 0
% Current number of rules: 806
% New rule produced :
% [851]
% identity <-> inverse(inverse(inverse(inverse(identity multiply identity))))
% Current number of equations to process: 212
% Current number of ordered equations: 1
% Current number of rules: 807
% New rule produced :
% [852]
% inverse(inverse(inverse(inverse(identity multiply identity)))) <-> identity
% Current number of equations to process: 212
% Current number of ordered equations: 0
% Current number of rules: 808
% New rule produced :
% [853] A <-> inverse(identity multiply identity) double_divide inverse(A)
% Current number of equations to process: 211
% Current number of ordered equations: 1
% Current number of rules: 809
% New rule produced :
% [854] inverse(identity multiply identity) double_divide inverse(A) <-> A
% Current number of equations to process: 211
% Current number of ordered equations: 0
% Current number of rules: 810
% New rule produced :
% [855]
% A multiply B <->
% inverse(identity multiply identity) double_divide (A double_divide B)
% Current number of equations to process: 211
% Current number of ordered equations: 1
% Current number of rules: 811
% New rule produced :
% [856]
% inverse(identity multiply identity) double_divide (A double_divide B) <->
% A multiply B
% Current number of equations to process: 211
% Current number of ordered equations: 0
% Current number of rules: 812
% New rule produced :
% [857] identity <-> inverse(identity multiply (identity multiply identity))
% Current number of equations to process: 228
% Current number of ordered equations: 1
% Current number of rules: 813
% New rule produced :
% [858] inverse(identity multiply (identity multiply identity)) <-> identity
% Current number of equations to process: 228
% Current number of ordered equations: 0
% Current number of rules: 814
% New rule produced :
% [859]
% inverse(identity) <-> identity multiply inverse(identity multiply identity)
% Current number of equations to process: 227
% Current number of ordered equations: 1
% Current number of rules: 815
% New rule produced :
% [860]
% identity multiply inverse(identity multiply identity) <-> inverse(identity)
% Current number of equations to process: 227
% Current number of ordered equations: 0
% Current number of rules: 816
% New rule produced :
% [861]
% identity <->
% inverse(identity multiply inverse(identity double_divide identity))
% Current number of equations to process: 225
% Current number of ordered equations: 3
% Current number of rules: 817
% New rule produced :
% [862]
% identity <->
% inverse(inverse(identity double_divide (identity multiply identity)))
% Current number of equations to process: 225
% Current number of ordered equations: 2
% Current number of rules: 818
% New rule produced :
% [863]
% inverse(identity multiply inverse(identity double_divide identity)) <->
% identity
% Current number of equations to process: 225
% Current number of ordered equations: 1
% Current number of rules: 819
% New rule produced :
% [864]
% inverse(inverse(identity double_divide (identity multiply identity))) <->
% identity
% Current number of equations to process: 225
% Current number of ordered equations: 0
% Current number of rules: 820
% New rule produced :
% [865]
% identity <->
% inverse(identity multiply (identity double_divide inverse(identity)))
% Current number of equations to process: 223
% Current number of ordered equations: 3
% Current number of rules: 821
% New rule produced :
% [866]
% identity <->
% identity double_divide inverse(inverse(identity multiply identity))
% Current number of equations to process: 223
% Current number of ordered equations: 2
% Current number of rules: 822
% New rule produced :
% [867]
% inverse(identity multiply (identity double_divide inverse(identity))) <->
% identity
% Current number of equations to process: 223
% Current number of ordered equations: 1
% Current number of rules: 823
% New rule produced :
% [868]
% identity double_divide inverse(inverse(identity multiply identity)) <->
% identity
% Current number of equations to process: 223
% Current number of ordered equations: 0
% Current number of rules: 824
% New rule produced :
% [869]
% identity <-> inverse(identity multiply inverse(inverse(inverse(identity))))
% Current number of equations to process: 222
% Current number of ordered equations: 1
% Current number of rules: 825
% New rule produced :
% [870]
% inverse(identity multiply inverse(inverse(inverse(identity)))) <-> identity
% Current number of equations to process: 222
% Current number of ordered equations: 0
% Current number of rules: 826
% New rule produced :
% [871] identity <-> inverse(identity multiply (inverse(A) double_divide A))
% Rule
% [865]
% identity <->
% inverse(identity multiply (identity double_divide inverse(identity)))
% collapsed.
% Current number of equations to process: 221
% Current number of ordered equations: 1
% Current number of rules: 826
% New rule produced :
% [872] inverse(identity multiply (inverse(A) double_divide A)) <-> identity
% Rule
% [867]
% inverse(identity multiply (identity double_divide inverse(identity))) <->
% identity collapsed.
% Current number of equations to process: 221
% Current number of ordered equations: 0
% Current number of rules: 826
% New rule produced :
% [873] (eq)(A,inverse(identity multiply identity) multiply A) -> (true)
% Current number of equations to process: 224
% Current number of ordered equations: 0
% Current number of rules: 827
% New rule produced :
% [874]
% identity <->
% inverse(identity multiply ((identity double_divide A) double_divide A))
% Current number of equations to process: 221
% Current number of ordered equations: 5
% Current number of rules: 828
% New rule produced :
% [875]
% identity <->
% inverse(((identity multiply identity) double_divide A) double_divide A)
% Current number of equations to process: 221
% Current number of ordered equations: 4
% Current number of rules: 829
% New rule produced :
% [876]
% identity <->
% (inverse(identity multiply identity) double_divide A) double_divide A
% Current number of equations to process: 221
% Current number of ordered equations: 3
% Current number of rules: 830
% New rule produced :
% [877]
% inverse(identity multiply ((identity double_divide A) double_divide A)) <->
% identity
% Current number of equations to process: 221
% Current number of ordered equations: 2
% Current number of rules: 831
% New rule produced :
% [878]
% inverse(((identity multiply identity) double_divide A) double_divide A) <->
% identity
% Current number of equations to process: 221
% Current number of ordered equations: 1
% Current number of rules: 832
% New rule produced :
% [879]
% (inverse(identity multiply identity) double_divide A) double_divide A <->
% identity
% Current number of equations to process: 221
% Current number of ordered equations: 0
% Current number of rules: 833
% New rule produced :
% [880]
% inverse(A) <->
% inverse(identity double_divide A) double_divide (identity multiply identity)
% Current number of equations to process: 220
% Current number of ordered equations: 1
% Current number of rules: 834
% New rule produced :
% [881]
% inverse(identity double_divide A) double_divide (identity multiply identity)
% <-> inverse(A)
% Current number of equations to process: 220
% Current number of ordered equations: 0
% Current number of rules: 835
% New rule produced :
% [882]
% (eq)(inverse(identity),identity multiply inverse(identity multiply identity))
% -> (true)
% Current number of equations to process: 219
% Current number of ordered equations: 0
% Current number of rules: 836
% New rule produced :
% [883]
% identity <->
% inverse(inverse(A) double_divide (identity multiply identity)) double_divide A
% Current number of equations to process: 218
% Current number of ordered equations: 1
% Current number of rules: 837
% New rule produced :
% [884]
% inverse(inverse(A) double_divide (identity multiply identity)) double_divide A
% <-> identity
% Current number of equations to process: 218
% Current number of ordered equations: 0
% Current number of rules: 838
% New rule produced :
% [885] inverse(A) <-> identity double_divide (identity multiply A)
% Current number of equations to process: 231
% Current number of ordered equations: 1
% Current number of rules: 839
% New rule produced :
% [886] identity double_divide (identity multiply A) <-> inverse(A)
% Current number of equations to process: 231
% Current number of ordered equations: 0
% Current number of rules: 840
% New rule produced :
% [887] inverse(inverse(inverse(inverse(A)))) <-> identity multiply A
% Rule
% [787]
% inverse(inverse(inverse(inverse(identity)))) <-> identity multiply identity
% collapsed.
% Current number of equations to process: 233
% Current number of ordered equations: 1
% Current number of rules: 840
% New rule produced :
% [888] identity multiply A <-> inverse(inverse(inverse(inverse(A))))
% Rule
% [788]
% identity multiply identity <-> inverse(inverse(inverse(inverse(identity))))
% collapsed.
% Current number of equations to process: 233
% Current number of ordered equations: 0
% Current number of rules: 840
% New rule produced :
% [889] inverse(identity multiply inverse(A)) <-> identity multiply A
% Current number of equations to process: 232
% Current number of ordered equations: 1
% Current number of rules: 841
% New rule produced :
% [890] identity multiply A <-> inverse(identity multiply inverse(A))
% Current number of equations to process: 232
% Current number of ordered equations: 0
% Current number of rules: 842
% New rule produced :
% [891] identity <-> inverse(A) double_divide (identity multiply A)
% Current number of equations to process: 231
% Current number of ordered equations: 1
% Current number of rules: 843
% New rule produced :
% [892] inverse(A) double_divide (identity multiply A) <-> identity
% Current number of equations to process: 231
% Current number of ordered equations: 0
% Current number of rules: 844
% New rule produced :
% [893]
% identity <-> inverse(identity multiply inverse(identity multiply identity))
% Current number of equations to process: 230
% Current number of ordered equations: 1
% Current number of rules: 845
% New rule produced :
% [894]
% inverse(identity multiply inverse(identity multiply identity)) <-> identity
% Current number of equations to process: 230
% Current number of ordered equations: 0
% Current number of rules: 846
% New rule produced :
% [895]
% inverse(inverse(identity double_divide inverse(A))) <-> identity multiply A
% Current number of equations to process: 228
% Current number of ordered equations: 3
% Current number of rules: 847
% New rule produced :
% [896]
% identity multiply A <-> inverse(inverse(identity double_divide inverse(A)))
% Current number of equations to process: 228
% Current number of ordered equations: 2
% Current number of rules: 848
% New rule produced :
% [897]
% inverse(identity double_divide inverse(inverse(A))) <-> identity multiply A
% Current number of equations to process: 227
% Current number of ordered equations: 3
% Current number of rules: 849
% New rule produced :
% [898]
% identity multiply A <-> inverse(identity double_divide inverse(inverse(A)))
% Current number of equations to process: 227
% Current number of ordered equations: 2
% Current number of rules: 850
% New rule produced :
% [899]
% identity multiply A <-> identity double_divide inverse(inverse(inverse(A)))
% Current number of equations to process: 227
% Current number of ordered equations: 1
% Current number of rules: 851
% New rule produced :
% [900]
% identity double_divide inverse(inverse(inverse(A))) <-> identity multiply A
% Current number of equations to process: 227
% Current number of ordered equations: 0
% Current number of rules: 852
% New rule produced :
% [901]
% inverse((inverse(A) double_divide B) double_divide B) <-> identity multiply A
% Current number of equations to process: 229
% Current number of ordered equations: 3
% Current number of rules: 853
% New rule produced :
% [902]
% identity multiply A <-> inverse((inverse(A) double_divide B) double_divide B)
% Current number of equations to process: 229
% Current number of ordered equations: 2
% Current number of rules: 854
% New rule produced :
% [903]
% identity multiply A <-> (inverse(inverse(A)) double_divide B) double_divide B
% Current number of equations to process: 229
% Current number of ordered equations: 1
% Current number of rules: 855
% New rule produced :
% [904]
% (inverse(inverse(A)) double_divide B) double_divide B <-> identity multiply A
% Current number of equations to process: 229
% Current number of ordered equations: 0
% Current number of rules: 856
% New rule produced :
% [905]
% (eq)(inverse(identity multiply A),identity multiply inverse(A)) -> (true)
% Current number of equations to process: 228
% Current number of ordered equations: 0
% Current number of rules: 857
% New rule produced :
% [906]
% inverse(inverse(inverse(A) double_divide B) double_divide A) <->
% identity multiply B
% Current number of equations to process: 226
% Current number of ordered equations: 3
% Current number of rules: 858
% New rule produced :
% [907]
% identity multiply A <->
% inverse(inverse(A) double_divide inverse(B)) double_divide B
% Current number of equations to process: 226
% Current number of ordered equations: 2
% Current number of rules: 859
% New rule produced :
% [908]
% identity multiply B <->
% inverse(inverse(inverse(A) double_divide B) double_divide A)
% Current number of equations to process: 226
% Current number of ordered equations: 1
% Current number of rules: 860
% New rule produced :
% [909]
% inverse(inverse(A) double_divide inverse(B)) double_divide B <->
% identity multiply A
% Current number of equations to process: 226
% Current number of ordered equations: 0
% Current number of rules: 861
% New rule produced : [910] (eq)(identity multiply A,A) -> (true)
% Current number of equations to process: 242
% Current number of ordered equations: 0
% Current number of rules: 862
% New rule produced :
% [911] inverse(inverse(A)) <-> inverse(identity) multiply A
% Current number of equations to process: 241
% Current number of ordered equations: 1
% Current number of rules: 863
% New rule produced :
% [912] inverse(identity) multiply A <-> inverse(inverse(A))
% Current number of equations to process: 241
% Current number of ordered equations: 0
% Current number of rules: 864
% New rule produced :
% [913] inverse(identity multiply A) <-> identity multiply inverse(A)
% Current number of equations to process: 240
% Current number of ordered equations: 1
% Current number of rules: 865
% New rule produced :
% [914] identity multiply inverse(A) <-> inverse(identity multiply A)
% Current number of equations to process: 240
% Current number of ordered equations: 0
% Current number of rules: 866
% New rule produced :
% [915] inverse(inverse(A)) <-> inverse(inverse(identity)) multiply A
% Current number of equations to process: 239
% Current number of ordered equations: 1
% Current number of rules: 867
% New rule produced :
% [916] inverse(inverse(identity)) multiply A <-> inverse(inverse(A))
% Current number of equations to process: 239
% Current number of ordered equations: 0
% Current number of rules: 868
% New rule produced :
% [917] inverse(inverse(A)) <-> identity multiply (identity multiply A)
% Current number of equations to process: 237
% Current number of ordered equations: 3
% Current number of rules: 869
% New rule produced :
% [918] inverse(inverse(A)) <-> (identity multiply identity) multiply A
% Current number of equations to process: 237
% Current number of ordered equations: 2
% Current number of rules: 870
% New rule produced :
% [919] identity multiply (identity multiply A) <-> inverse(inverse(A))
% Current number of equations to process: 237
% Current number of ordered equations: 1
% Current number of rules: 871
% New rule produced :
% [920] (identity multiply identity) multiply A <-> inverse(inverse(A))
% Current number of equations to process: 237
% Current number of ordered equations: 0
% Current number of rules: 872
% New rule produced :
% [921] inverse(inverse(A)) <-> (identity double_divide identity) multiply A
% Current number of equations to process: 236
% Current number of ordered equations: 1
% Current number of rules: 873
% New rule produced :
% [922] (identity double_divide identity) multiply A <-> inverse(inverse(A))
% Current number of equations to process: 236
% Current number of ordered equations: 0
% Current number of rules: 874
% New rule produced :
% [923] (eq)(inverse(identity multiply A),inverse(A)) -> (true)
% Current number of equations to process: 235
% Current number of ordered equations: 0
% Current number of rules: 875
% New rule produced :
% [924]
% inverse(inverse(A)) <-> inverse(identity double_divide identity) multiply A
% Current number of equations to process: 234
% Current number of ordered equations: 1
% Current number of rules: 876
% New rule produced :
% [925]
% inverse(identity double_divide identity) multiply A <-> inverse(inverse(A))
% Current number of equations to process: 234
% Current number of ordered equations: 0
% Current number of rules: 877
% New rule produced :
% [926]
% inverse(inverse(A)) <-> (identity double_divide inverse(identity)) multiply A
% Current number of equations to process: 232
% Current number of ordered equations: 3
% Current number of rules: 878
% New rule produced :
% [927]
% inverse(inverse(A)) <-> identity double_divide inverse(identity multiply A)
% Current number of equations to process: 232
% Current number of ordered equations: 2
% Current number of rules: 879
% New rule produced :
% [928]
% (identity double_divide inverse(identity)) multiply A <-> inverse(inverse(A))
% Current number of equations to process: 232
% Current number of ordered equations: 1
% Current number of rules: 880
% New rule produced :
% [929]
% identity double_divide inverse(identity multiply A) <-> inverse(inverse(A))
% Current number of equations to process: 232
% Current number of ordered equations: 0
% Current number of rules: 881
% New rule produced :
% [930] inverse(inverse(A)) <-> inverse(inverse(inverse(identity))) multiply A
% Current number of equations to process: 231
% Current number of ordered equations: 1
% Current number of rules: 882
% New rule produced :
% [931] inverse(inverse(inverse(identity))) multiply A <-> inverse(inverse(A))
% Current number of equations to process: 231
% Current number of ordered equations: 0
% Current number of rules: 883
% New rule produced :
% [932] inverse(inverse(B)) <-> (inverse(A) double_divide A) multiply B
% Rule
% [926]
% inverse(inverse(A)) <-> (identity double_divide inverse(identity)) multiply A
% collapsed.
% Current number of equations to process: 230
% Current number of ordered equations: 1
% Current number of rules: 883
% New rule produced :
% [933] (inverse(A) double_divide A) multiply B <-> inverse(inverse(B))
% Rule
% [928]
% (identity double_divide inverse(identity)) multiply A <-> inverse(inverse(A))
% collapsed.
% Current number of equations to process: 230
% Current number of ordered equations: 0
% Current number of rules: 883
% New rule produced :
% [934]
% inverse(inverse(A)) <->
% ((identity multiply A) double_divide B) double_divide B
% Current number of equations to process: 230
% Current number of ordered equations: 3
% Current number of rules: 884
% New rule produced :
% [935]
% inverse(inverse(B)) <->
% ((identity double_divide A) double_divide A) multiply B
% Current number of equations to process: 230
% Current number of ordered equations: 2
% Current number of rules: 885
% New rule produced :
% [936]
% ((identity double_divide A) double_divide A) multiply B <->
% inverse(inverse(B))
% Current number of equations to process: 230
% Current number of ordered equations: 1
% Current number of rules: 886
% New rule produced :
% [937]
% ((identity multiply A) double_divide B) double_divide B <->
% inverse(inverse(A))
% Current number of equations to process: 230
% Current number of ordered equations: 0
% Current number of rules: 887
% New rule produced : [938] (eq)(A,inverse(inverse(A))) -> (true)
% Current number of equations to process: 247
% Current number of ordered equations: 0
% Current number of rules: 888
% New rule produced :
% [939]
% inverse(inverse(inverse(inverse(identity)))) <->
% identity double_divide identity
% Current number of equations to process: 249
% Current number of ordered equations: 1
% Current number of rules: 889
% New rule produced :
% [940]
% identity double_divide identity <->
% inverse(inverse(inverse(inverse(identity))))
% Current number of equations to process: 249
% Current number of ordered equations: 0
% Current number of rules: 890
% New rule produced :
% [941]
% inverse(identity multiply inverse(identity)) <->
% identity double_divide identity
% Current number of equations to process: 246
% Current number of ordered equations: 5
% Current number of rules: 891
% New rule produced :
% [942]
% inverse(inverse(identity multiply identity)) <->
% identity double_divide identity
% Current number of equations to process: 246
% Current number of ordered equations: 4
% Current number of rules: 892
% New rule produced :
% [943]
% identity multiply inverse(inverse(identity)) <->
% identity double_divide identity
% Current number of equations to process: 246
% Current number of ordered equations: 3
% Current number of rules: 893
% New rule produced :
% [944]
% identity double_divide identity <->
% inverse(identity multiply inverse(identity))
% Current number of equations to process: 246
% Current number of ordered equations: 2
% Current number of rules: 894
% New rule produced :
% [945]
% identity double_divide identity <->
% inverse(inverse(identity multiply identity))
% Current number of equations to process: 246
% Current number of ordered equations: 1
% Current number of rules: 895
% New rule produced :
% [946]
% identity double_divide identity <->
% identity multiply inverse(inverse(identity))
% Current number of equations to process: 246
% Current number of ordered equations: 0
% Current number of rules: 896
% New rule produced :
% [947] inverse(inverse(A)) <-> inverse(identity multiply identity) multiply A
% Current number of equations to process: 245
% Current number of ordered equations: 1
% Current number of rules: 897
% New rule produced :
% [948] inverse(identity multiply identity) multiply A <-> inverse(inverse(A))
% Current number of equations to process: 245
% Current number of ordered equations: 0
% Current number of rules: 898
% New rule produced :
% [949]
% inverse(inverse(identity double_divide inverse(identity))) <->
% identity double_divide identity
% Current number of equations to process: 242
% Current number of ordered equations: 5
% Current number of rules: 899
% New rule produced :
% [950]
% inverse(inverse(inverse(identity double_divide identity))) <->
% identity double_divide identity
% Current number of equations to process: 242
% Current number of ordered equations: 4
% Current number of rules: 900
% New rule produced :
% [951]
% identity double_divide identity <->
% inverse(inverse(identity double_divide inverse(identity)))
% Current number of equations to process: 242
% Current number of ordered equations: 3
% Current number of rules: 901
% New rule produced :
% [952]
% identity double_divide identity <->
% inverse(inverse(inverse(identity double_divide identity)))
% Current number of equations to process: 242
% Current number of ordered equations: 2
% Current number of rules: 902
% New rule produced :
% [953]
% inverse(identity double_divide inverse(inverse(identity))) <->
% identity double_divide identity
% Current number of equations to process: 241
% Current number of ordered equations: 1
% Current number of rules: 903
% New rule produced :
% [954]
% identity double_divide identity <->
% inverse(identity double_divide inverse(inverse(identity)))
% Current number of equations to process: 241
% Current number of ordered equations: 0
% Current number of rules: 904
% New rule produced :
% [955]
% inverse(inverse(inverse(inverse(inverse(identity))))) <->
% identity double_divide identity
% Current number of equations to process: 240
% Current number of ordered equations: 1
% Current number of rules: 905
% New rule produced :
% [956]
% identity double_divide identity <->
% inverse(inverse(inverse(inverse(inverse(identity)))))
% Current number of equations to process: 240
% Current number of ordered equations: 0
% Current number of rules: 906
% New rule produced :
% [957]
% inverse(inverse(inverse(A) double_divide A)) <->
% identity double_divide identity
% Rule
% [949]
% inverse(inverse(identity double_divide inverse(identity))) <->
% identity double_divide identity collapsed.
% Current number of equations to process: 239
% Current number of ordered equations: 1
% Current number of rules: 906
% New rule produced :
% [958]
% identity double_divide identity <->
% inverse(inverse(inverse(A) double_divide A))
% Rule
% [951]
% identity double_divide identity <->
% inverse(inverse(identity double_divide inverse(identity))) collapsed.
% Current number of equations to process: 239
% Current number of ordered equations: 0
% Current number of rules: 906
% New rule produced :
% [959]
% inverse(inverse((identity double_divide A) double_divide A)) <->
% identity double_divide identity
% Current number of equations to process: 240
% Current number of ordered equations: 5
% Current number of rules: 907
% New rule produced :
% [960]
% inverse((inverse(identity) double_divide A) double_divide A) <->
% identity double_divide identity
% Current number of equations to process: 240
% Current number of ordered equations: 4
% Current number of rules: 908
% New rule produced :
% [961]
% identity double_divide identity <->
% inverse(inverse((identity double_divide A) double_divide A))
% Current number of equations to process: 240
% Current number of ordered equations: 3
% Current number of rules: 909
% New rule produced :
% [962]
% identity double_divide identity <->
% inverse((inverse(identity) double_divide A) double_divide A)
% Current number of equations to process: 240
% Current number of ordered equations: 2
% Current number of rules: 910
% New rule produced :
% [963]
% identity double_divide identity <->
% (inverse(inverse(identity)) double_divide A) double_divide A
% Current number of equations to process: 240
% Current number of ordered equations: 1
% Current number of rules: 911
% New rule produced :
% [964]
% (inverse(inverse(identity)) double_divide A) double_divide A <->
% identity double_divide identity
% Current number of equations to process: 240
% Current number of ordered equations: 0
% Current number of rules: 912
% New rule produced :
% [965]
% (eq)(inverse(identity double_divide identity),identity multiply inverse(identity))
% -> (true)
% Current number of equations to process: 239
% Current number of ordered equations: 0
% Current number of rules: 913
% New rule produced :
% [966]
% inverse(inverse(identity double_divide inverse(A)) double_divide A) <->
% identity double_divide identity
% Current number of equations to process: 237
% Current number of ordered equations: 3
% Current number of rules: 914
% New rule produced :
% [967]
% identity double_divide identity <->
% inverse(inverse(identity double_divide inverse(A)) double_divide A)
% Current number of equations to process: 237
% Current number of ordered equations: 2
% Current number of rules: 915
% New rule produced :
% [968]
% identity double_divide identity <->
% inverse(inverse(identity) double_divide inverse(A)) double_divide A
% Current number of equations to process: 237
% Current number of ordered equations: 1
% Current number of rules: 916
% New rule produced :
% [969]
% inverse(inverse(identity) double_divide inverse(A)) double_divide A <->
% identity double_divide identity
% Current number of equations to process: 237
% Current number of ordered equations: 0
% Current number of rules: 917
% New rule produced :
% [970] (eq)(identity double_divide identity,identity) -> (true)
% Current number of equations to process: 250
% Current number of ordered equations: 0
% Current number of rules: 918
% New rule produced :
% [971]
% inverse(identity double_divide identity) <->
% identity multiply inverse(identity)
% Current number of equations to process: 249
% Current number of ordered equations: 1
% Current number of rules: 919
% New rule produced :
% [972]
% identity multiply inverse(identity) <->
% inverse(identity double_divide identity)
% Current number of equations to process: 249
% Current number of ordered equations: 0
% Current number of rules: 920
% New rule produced :
% [973]
% inverse(inverse(identity)) <->
% identity double_divide inverse(inverse(identity))
% Current number of equations to process: 248
% Current number of ordered equations: 1
% Current number of rules: 921
% New rule produced :
% [974]
% identity double_divide inverse(inverse(identity)) <->
% inverse(inverse(identity))
% Current number of equations to process: 248
% Current number of ordered equations: 0
% Current number of rules: 922
% New rule produced :
% [975]
% inverse(inverse(identity)) <->
% identity double_divide (identity multiply identity)
% Current number of equations to process: 247
% Current number of ordered equations: 1
% Current number of rules: 923
% New rule produced :
% [976]
% identity double_divide (identity multiply identity) <->
% inverse(inverse(identity))
% Current number of equations to process: 247
% Current number of ordered equations: 0
% Current number of rules: 924
% New rule produced :
% [977]
% (eq)(inverse(identity double_divide identity),inverse(identity)) -> (true)
% Current number of equations to process: 246
% Current number of ordered equations: 0
% Current number of rules: 925
% New rule produced :
% [978]
% inverse(inverse(inverse(identity multiply identity))) <->
% identity double_divide identity
% Current number of equations to process: 245
% Current number of ordered equations: 1
% Current number of rules: 926
% New rule produced :
% [979]
% identity double_divide identity <->
% inverse(inverse(inverse(identity multiply identity)))
% Current number of equations to process: 245
% Current number of ordered equations: 0
% Current number of rules: 927
% New rule produced :
% [980]
% inverse(inverse(identity)) <->
% identity double_divide (identity double_divide inverse(identity))
% Current number of equations to process: 243
% Current number of ordered equations: 3
% Current number of rules: 928
% New rule produced :
% [981]
% inverse(inverse(identity)) <->
% identity double_divide inverse(identity double_divide identity)
% Current number of equations to process: 243
% Current number of ordered equations: 2
% Current number of rules: 929
% New rule produced :
% [982]
% identity double_divide (identity double_divide inverse(identity)) <->
% inverse(inverse(identity))
% Current number of equations to process: 243
% Current number of ordered equations: 1
% Current number of rules: 930
% New rule produced :
% [983]
% identity double_divide inverse(identity double_divide identity) <->
% inverse(inverse(identity))
% Current number of equations to process: 243
% Current number of ordered equations: 0
% Current number of rules: 931
% New rule produced :
% [984]
% inverse(inverse(identity)) <->
% identity double_divide (inverse(A) double_divide A)
% Rule
% [980]
% inverse(inverse(identity)) <->
% identity double_divide (identity double_divide inverse(identity)) collapsed.
% Current number of equations to process: 242
% Current number of ordered equations: 1
% Current number of rules: 931
% New rule produced :
% [985]
% identity double_divide (inverse(A) double_divide A) <->
% inverse(inverse(identity))
% Rule
% [982]
% identity double_divide (identity double_divide inverse(identity)) <->
% inverse(inverse(identity)) collapsed.
% Current number of equations to process: 242
% Current number of ordered equations: 0
% Current number of rules: 931
% New rule produced :
% [986]
% inverse(inverse(identity)) <->
% identity double_divide ((identity double_divide A) double_divide A)
% Current number of equations to process: 243
% Current number of ordered equations: 3
% Current number of rules: 932
% New rule produced :
% [987]
% inverse(inverse(identity)) <->
% ((identity double_divide identity) double_divide A) double_divide A
% Current number of equations to process: 243
% Current number of ordered equations: 2
% Current number of rules: 933
% New rule produced :
% [988]
% identity double_divide ((identity double_divide A) double_divide A) <->
% inverse(inverse(identity))
% Current number of equations to process: 243
% Current number of ordered equations: 1
% Current number of rules: 934
% New rule produced :
% [989]
% ((identity double_divide identity) double_divide A) double_divide A <->
% inverse(inverse(identity))
% Current number of equations to process: 243
% Current number of ordered equations: 0
% Current number of rules: 935
% New rule produced :
% [990]
% identity multiply (identity multiply identity) <->
% identity double_divide identity
% Current number of equations to process: 256
% Current number of ordered equations: 1
% Current number of rules: 936
% New rule produced :
% [991]
% identity double_divide identity <->
% identity multiply (identity multiply identity)
% Current number of equations to process: 256
% Current number of ordered equations: 0
% Current number of rules: 937
% New rule produced :
% [992]
% inverse(identity double_divide (identity multiply identity)) <->
% identity double_divide identity
% Current number of equations to process: 254
% Current number of ordered equations: 3
% Current number of rules: 938
% New rule produced :
% [993]
% identity multiply inverse(identity double_divide identity) <->
% identity double_divide identity
% Current number of equations to process: 254
% Current number of ordered equations: 2
% Current number of rules: 939
% New rule produced :
% [994]
% identity double_divide identity <->
% inverse(identity double_divide (identity multiply identity))
% Current number of equations to process: 254
% Current number of ordered equations: 1
% Current number of rules: 940
% New rule produced :
% [995]
% identity double_divide identity <->
% identity multiply inverse(identity double_divide identity)
% Current number of equations to process: 254
% Current number of ordered equations: 0
% Current number of rules: 941
% New rule produced :
% [996]
% identity multiply (identity double_divide inverse(identity)) <->
% identity double_divide identity
% Current number of equations to process: 253
% Current number of ordered equations: 1
% Current number of rules: 942
% New rule produced :
% [997]
% identity double_divide identity <->
% identity multiply (identity double_divide inverse(identity))
% Current number of equations to process: 253
% Current number of ordered equations: 0
% Current number of rules: 943
% New rule produced :
% [998]
% identity multiply inverse(inverse(inverse(identity))) <->
% identity double_divide identity
% Current number of equations to process: 252
% Current number of ordered equations: 1
% Current number of rules: 944
% New rule produced :
% [999]
% identity double_divide identity <->
% identity multiply inverse(inverse(inverse(identity)))
% Current number of equations to process: 252
% Current number of ordered equations: 0
% Current number of rules: 945
% New rule produced :
% [1000]
% identity multiply (inverse(A) double_divide A) <->
% identity double_divide identity
% Rule
% [996]
% identity multiply (identity double_divide inverse(identity)) <->
% identity double_divide identity collapsed.
% Current number of equations to process: 251
% Current number of ordered equations: 1
% Current number of rules: 945
% New rule produced :
% [1001]
% identity double_divide identity <->
% identity multiply (inverse(A) double_divide A)
% Rule
% [997]
% identity double_divide identity <->
% identity multiply (identity double_divide inverse(identity)) collapsed.
% Current number of equations to process: 251
% Current number of ordered equations: 0
% Current number of rules: 945
% New rule produced :
% [1002]
% (eq)(inverse(inverse(identity)),identity double_divide identity) -> (true)
% Current number of equations to process: 250
% Current number of ordered equations: 0
% Current number of rules: 946
% New rule produced :
% [1003]
% identity multiply ((identity double_divide A) double_divide A) <->
% identity double_divide identity
% Current number of equations to process: 250
% Current number of ordered equations: 3
% Current number of rules: 947
% New rule produced :
% [1004]
% identity double_divide identity <->
% identity multiply ((identity double_divide A) double_divide A)
% Current number of equations to process: 250
% Current number of ordered equations: 2
% Current number of rules: 948
% New rule produced :
% [1005]
% identity double_divide identity <->
% ((identity multiply identity) double_divide A) double_divide A
% Current number of equations to process: 250
% Current number of ordered equations: 1
% Current number of rules: 949
% New rule produced :
% [1006]
% ((identity multiply identity) double_divide A) double_divide A <->
% identity double_divide identity
% Current number of equations to process: 250
% Current number of ordered equations: 0
% Current number of rules: 950
% New rule produced :
% [1007] (eq)(identity,identity double_divide identity) -> (true)
% Current number of equations to process: 258
% Current number of ordered equations: 0
% Current number of rules: 951
% New rule produced :
% [1008]
% identity multiply identity <->
% identity double_divide (identity multiply identity)
% Current number of equations to process: 257
% Current number of ordered equations: 1
% Current number of rules: 952
% New rule produced :
% [1009]
% identity double_divide (identity multiply identity) <->
% identity multiply identity
% Current number of equations to process: 257
% Current number of ordered equations: 0
% Current number of rules: 953
% New rule produced :
% [1010]
% identity multiply inverse(identity multiply identity) <->
% identity double_divide identity
% Current number of equations to process: 256
% Current number of ordered equations: 1
% Current number of rules: 954
% New rule produced :
% [1011]
% identity double_divide identity <->
% identity multiply inverse(identity multiply identity)
% Current number of equations to process: 256
% Current number of ordered equations: 0
% Current number of rules: 955
% New rule produced :
% [1012]
% identity multiply identity <->
% identity double_divide inverse(identity double_divide identity)
% Current number of equations to process: 255
% Current number of ordered equations: 1
% Current number of rules: 956
% New rule produced :
% [1013]
% identity double_divide inverse(identity double_divide identity) <->
% identity multiply identity
% Current number of equations to process: 255
% Current number of ordered equations: 0
% Current number of rules: 957
% New rule produced :
% [1014]
% identity multiply identity <->
% identity double_divide (inverse(A) double_divide A)
% Current number of equations to process: 254
% Current number of ordered equations: 1
% Current number of rules: 958
% New rule produced :
% [1015]
% identity double_divide (inverse(A) double_divide A) <->
% identity multiply identity
% Current number of equations to process: 254
% Current number of ordered equations: 0
% Current number of rules: 959
% New rule produced :
% [1016]
% identity multiply identity <->
% identity double_divide ((identity double_divide A) double_divide A)
% Current number of equations to process: 255
% Current number of ordered equations: 3
% Current number of rules: 960
% New rule produced :
% [1017]
% identity multiply identity <->
% ((identity double_divide identity) double_divide A) double_divide A
% Current number of equations to process: 255
% Current number of ordered equations: 2
% Current number of rules: 961
% New rule produced :
% [1018]
% identity double_divide ((identity double_divide A) double_divide A) <->
% identity multiply identity
% Current number of equations to process: 255
% Current number of ordered equations: 1
% Current number of rules: 962
% New rule produced :
% [1019]
% ((identity double_divide identity) double_divide A) double_divide A <->
% identity multiply identity
% Current number of equations to process: 255
% Current number of ordered equations: 0
% Current number of rules: 963
% New rule produced :
% [1020] identity <-> inverse(identity) multiply inverse(identity)
% Current number of equations to process: 297
% Current number of ordered equations: 1
% Current number of rules: 964
% New rule produced :
% [1021] inverse(identity) multiply inverse(identity) <-> identity
% Current number of equations to process: 297
% Current number of ordered equations: 0
% Current number of rules: 965
% New rule produced :
% [1022] inverse(identity double_divide A) <-> inverse(identity) multiply A
% Rule
% [971]
% inverse(identity double_divide identity) <->
% identity multiply inverse(identity) collapsed.
% Current number of equations to process: 296
% Current number of ordered equations: 1
% Current number of rules: 965
% New rule produced :
% [1023] inverse(identity) multiply A <-> inverse(identity double_divide A)
% Rule
% [972]
% identity multiply inverse(identity) <->
% inverse(identity double_divide identity) collapsed.
% Current number of equations to process: 296
% Current number of ordered equations: 0
% Current number of rules: 965
% New rule produced :
% [1024] inverse(identity) multiply A <-> identity double_divide inverse(A)
% Current number of equations to process: 295
% Current number of ordered equations: 1
% Current number of rules: 966
% New rule produced :
% [1025] identity double_divide inverse(A) <-> inverse(identity) multiply A
% Current number of equations to process: 295
% Current number of ordered equations: 0
% Current number of rules: 967
% New rule produced :
% [1026] identity multiply inverse(identity) <-> inverse(A) double_divide A
% Current number of equations to process: 294
% Current number of ordered equations: 1
% Current number of rules: 968
% New rule produced :
% [1027] inverse(A) double_divide A <-> identity multiply inverse(identity)
% Current number of equations to process: 294
% Current number of ordered equations: 0
% Current number of rules: 969
% New rule produced :
% [1028] A <-> inverse(inverse(identity) multiply inverse(A))
% Current number of equations to process: 297
% Current number of ordered equations: 3
% Current number of rules: 970
% New rule produced :
% [1029] A <-> inverse(identity) multiply inverse(inverse(A))
% Current number of equations to process: 297
% Current number of ordered equations: 2
% Current number of rules: 971
% New rule produced :
% [1030] inverse(inverse(identity) multiply inverse(A)) <-> A
% Current number of equations to process: 297
% Current number of ordered equations: 1
% Current number of rules: 972
% New rule produced :
% [1031] inverse(identity) multiply inverse(inverse(A)) <-> A
% Current number of equations to process: 297
% Current number of ordered equations: 0
% Current number of rules: 973
% New rule produced :
% [1032] A <-> inverse(identity) multiply (identity multiply A)
% Current number of equations to process: 295
% Current number of ordered equations: 3
% Current number of rules: 974
% New rule produced :
% [1033] A <-> (identity multiply inverse(identity)) multiply A
% Current number of equations to process: 295
% Current number of ordered equations: 2
% Current number of rules: 975
% New rule produced :
% [1034] inverse(identity) multiply (identity multiply A) <-> A
% Current number of equations to process: 295
% Current number of ordered equations: 1
% Current number of rules: 976
% New rule produced :
% [1035] (identity multiply inverse(identity)) multiply A <-> A
% Current number of equations to process: 295
% Current number of ordered equations: 0
% Current number of rules: 977
% New rule produced :
% [1036]
% identity <-> inverse(identity) multiply (identity double_divide identity)
% Current number of equations to process: 294
% Current number of ordered equations: 1
% Current number of rules: 978
% New rule produced :
% [1037]
% inverse(identity) multiply (identity double_divide identity) <-> identity
% Current number of equations to process: 294
% Current number of ordered equations: 0
% Current number of rules: 979
% New rule produced :
% [1038] inverse(identity) multiply inverse(A) <-> identity double_divide A
% Current number of equations to process: 293
% Current number of ordered equations: 1
% Current number of rules: 980
% New rule produced :
% [1039] identity double_divide A <-> inverse(identity) multiply inverse(A)
% Current number of equations to process: 293
% Current number of ordered equations: 0
% Current number of rules: 981
% New rule produced :
% [1040] inverse(A) <-> inverse(identity) multiply (identity double_divide A)
% Current number of equations to process: 291
% Current number of ordered equations: 3
% Current number of rules: 982
% New rule produced :
% [1041] inverse(A) <-> (identity multiply inverse(identity)) double_divide A
% Current number of equations to process: 291
% Current number of ordered equations: 2
% Current number of rules: 983
% New rule produced :
% [1042] inverse(identity) multiply (identity double_divide A) <-> inverse(A)
% Current number of equations to process: 291
% Current number of ordered equations: 1
% Current number of rules: 984
% New rule produced :
% [1043] (identity multiply inverse(identity)) double_divide A <-> inverse(A)
% Current number of equations to process: 291
% Current number of ordered equations: 0
% Current number of rules: 985
% New rule produced :
% [1044] inverse(identity) multiply A <-> (A double_divide B) double_divide B
% Current number of equations to process: 290
% Current number of ordered equations: 1
% Current number of rules: 986
% New rule produced :
% [1045] (A double_divide B) double_divide B <-> inverse(identity) multiply A
% Current number of equations to process: 290
% Current number of ordered equations: 0
% Current number of rules: 987
% New rule produced :
% [1046] A <-> inverse(inverse(identity) multiply (identity double_divide A))
% Current number of equations to process: 287
% Current number of ordered equations: 5
% Current number of rules: 988
% New rule produced :
% [1047] A <-> inverse((identity multiply inverse(identity)) double_divide A)
% Current number of equations to process: 287
% Current number of ordered equations: 4
% Current number of rules: 989
% New rule produced :
% [1048] A <-> inverse(identity) multiply inverse(identity double_divide A)
% Current number of equations to process: 287
% Current number of ordered equations: 3
% Current number of rules: 990
% New rule produced :
% [1049] inverse(inverse(identity) multiply (identity double_divide A)) <-> A
% Current number of equations to process: 287
% Current number of ordered equations: 2
% Current number of rules: 991
% New rule produced :
% [1050] inverse((identity multiply inverse(identity)) double_divide A) <-> A
% Current number of equations to process: 287
% Current number of ordered equations: 1
% Current number of rules: 992
% New rule produced :
% [1051] inverse(identity) multiply inverse(identity double_divide A) <-> A
% Current number of equations to process: 287
% Current number of ordered equations: 0
% Current number of rules: 993
% New rule produced :
% [1052]
% identity <-> inverse(inverse(inverse(identity multiply inverse(identity))))
% Current number of equations to process: 283
% Current number of ordered equations: 7
% Current number of rules: 994
% New rule produced :
% [1053]
% identity <-> inverse(inverse(identity) multiply inverse(inverse(identity)))
% Current number of equations to process: 283
% Current number of ordered equations: 6
% Current number of rules: 995
% New rule produced :
% [1054]
% identity <-> inverse(inverse(inverse(identity) multiply inverse(identity)))
% Current number of equations to process: 283
% Current number of ordered equations: 5
% Current number of rules: 996
% New rule produced :
% [1055]
% identity <-> inverse(identity) multiply inverse(inverse(inverse(identity)))
% Current number of equations to process: 283
% Current number of ordered equations: 4
% Current number of rules: 997
% New rule produced :
% [1056]
% inverse(inverse(inverse(identity multiply inverse(identity)))) <-> identity
% Current number of equations to process: 283
% Current number of ordered equations: 3
% Current number of rules: 998
% New rule produced :
% [1057]
% inverse(inverse(identity) multiply inverse(inverse(identity))) <-> identity
% Current number of equations to process: 283
% Current number of ordered equations: 2
% Current number of rules: 999
% New rule produced :
% [1058]
% inverse(inverse(inverse(identity) multiply inverse(identity))) <-> identity
% Current number of equations to process: 283
% Current number of ordered equations: 1
% Current number of rules: 1000
% New rule produced :
% [1059]
% inverse(identity) multiply inverse(inverse(inverse(identity))) <-> identity
% Current number of equations to process: 283
% Current number of ordered equations: 0
% Current number of rules: 1001
% New rule produced :
% [1060] A <-> inverse(identity) multiply (identity double_divide inverse(A))
% Current number of equations to process: 280
% Current number of ordered equations: 5
% Current number of rules: 1002
% New rule produced :
% [1061] A <-> identity double_divide (inverse(identity) multiply inverse(A))
% Current number of equations to process: 280
% Current number of ordered equations: 4
% Current number of rules: 1003
% New rule produced :
% [1062] A <-> inverse(A) double_divide (identity multiply inverse(identity))
% Current number of equations to process: 280
% Current number of ordered equations: 3
% Current number of rules: 1004
% New rule produced :
% [1063] inverse(identity) multiply (identity double_divide inverse(A)) <-> A
% Current number of equations to process: 280
% Current number of ordered equations: 2
% Current number of rules: 1005
% New rule produced :
% [1064] identity double_divide (inverse(identity) multiply inverse(A)) <-> A
% Current number of equations to process: 280
% Current number of ordered equations: 1
% Current number of rules: 1006
% New rule produced :
% [1065] inverse(A) double_divide (identity multiply inverse(identity)) <-> A
% Current number of equations to process: 280
% Current number of ordered equations: 0
% Current number of rules: 1007
% New rule produced :
% [1066] identity <-> inverse(identity) multiply (inverse(A) double_divide A)
% Current number of equations to process: 278
% Current number of ordered equations: 3
% Current number of rules: 1008
% New rule produced :
% [1067] identity <-> (inverse(identity) multiply inverse(A)) double_divide A
% Current number of equations to process: 278
% Current number of ordered equations: 2
% Current number of rules: 1009
% New rule produced :
% [1068] inverse(identity) multiply (inverse(A) double_divide A) <-> identity
% Current number of equations to process: 278
% Current number of ordered equations: 1
% Current number of rules: 1010
% New rule produced :
% [1069] (inverse(identity) multiply inverse(A)) double_divide A <-> identity
% Current number of equations to process: 278
% Current number of ordered equations: 0
% Current number of rules: 1011
% New rule produced :
% [1070]
% inverse(A double_divide B) <-> inverse(identity) multiply (A multiply B)
% Current number of equations to process: 284
% Current number of ordered equations: 1
% Current number of rules: 1012
% New rule produced :
% [1071]
% inverse(identity) multiply (A multiply B) <-> inverse(A double_divide B)
% Current number of equations to process: 284
% Current number of ordered equations: 0
% Current number of rules: 1013
% New rule produced :
% [1072]
% inverse(inverse(identity) multiply (A double_divide B)) <-> A multiply B
% Current number of equations to process: 282
% Current number of ordered equations: 3
% Current number of rules: 1014
% New rule produced :
% [1073]
% A multiply B <-> inverse(inverse(identity) multiply (A double_divide B))
% Current number of equations to process: 282
% Current number of ordered equations: 2
% Current number of rules: 1015
% New rule produced :
% [1074] A multiply B <-> inverse(identity) multiply inverse(A double_divide B)
% Current number of equations to process: 282
% Current number of ordered equations: 1
% Current number of rules: 1016
% New rule produced :
% [1075] inverse(identity) multiply inverse(A double_divide B) <-> A multiply B
% Current number of equations to process: 282
% Current number of ordered equations: 0
% Current number of rules: 1017
% New rule produced :
% [1076] A <-> (inverse(identity) multiply (A double_divide B)) double_divide B
% Current number of equations to process: 280
% Current number of ordered equations: 3
% Current number of rules: 1018
% New rule produced :
% [1077] A <-> inverse(identity) multiply ((A double_divide B) double_divide B)
% Current number of equations to process: 280
% Current number of ordered equations: 2
% Current number of rules: 1019
% New rule produced :
% [1078] (inverse(identity) multiply (A double_divide B)) double_divide B <-> A
% Current number of equations to process: 280
% Current number of ordered equations: 1
% Current number of rules: 1020
% New rule produced :
% [1079] inverse(identity) multiply ((A double_divide B) double_divide B) <-> A
% Current number of equations to process: 280
% Current number of ordered equations: 0
% Current number of rules: 1021
% New rule produced :
% [1080]
% inverse(identity) multiply (A multiply B) <->
% identity double_divide (A double_divide B)
% Current number of equations to process: 279
% Current number of ordered equations: 1
% Current number of rules: 1022
% New rule produced :
% [1081]
% identity double_divide (A double_divide B) <->
% inverse(identity) multiply (A multiply B)
% Current number of equations to process: 279
% Current number of ordered equations: 0
% Current number of rules: 1023
% New rule produced :
% [1082]
% A multiply B <->
% inverse(identity) multiply (identity double_divide (A double_divide B))
% Current number of equations to process: 276
% Current number of ordered equations: 5
% Current number of rules: 1024
% New rule produced :
% [1083]
% A multiply B <->
% identity double_divide (inverse(identity) multiply (A double_divide B))
% Current number of equations to process: 276
% Current number of ordered equations: 4
% Current number of rules: 1025
% New rule produced :
% [1084]
% A multiply B <->
% (identity multiply inverse(identity)) double_divide (A double_divide B)
% Current number of equations to process: 276
% Current number of ordered equations: 3
% Current number of rules: 1026
% New rule produced :
% [1085]
% inverse(identity) multiply (identity double_divide (A double_divide B)) <->
% A multiply B
% Current number of equations to process: 276
% Current number of ordered equations: 2
% Current number of rules: 1027
% New rule produced :
% [1086]
% identity double_divide (inverse(identity) multiply (A double_divide B)) <->
% A multiply B
% Current number of equations to process: 276
% Current number of ordered equations: 1
% Current number of rules: 1028
% New rule produced :
% [1087]
% (identity multiply inverse(identity)) double_divide (A double_divide B) <->
% A multiply B
% Current number of equations to process: 276
% Current number of ordered equations: 0
% Current number of rules: 1029
% New rule produced :
% [1088]
% inverse(identity) multiply inverse(B) <->
% inverse(inverse(A) double_divide B) double_divide A
% Current number of equations to process: 275
% Current number of ordered equations: 1
% Current number of rules: 1030
% New rule produced :
% [1089]
% inverse(inverse(A) double_divide B) double_divide A <->
% inverse(identity) multiply inverse(B)
% Current number of equations to process: 275
% Current number of ordered equations: 0
% Current number of rules: 1031
% New rule produced :
% [1090]
% identity multiply identity <-> inverse(identity) multiply inverse(identity)
% Current number of equations to process: 323
% Current number of ordered equations: 1
% Current number of rules: 1032
% New rule produced :
% [1091]
% inverse(identity) multiply inverse(identity) <-> identity multiply identity
% Current number of equations to process: 323
% Current number of ordered equations: 0
% Current number of rules: 1033
% New rule produced :
% [1092] A <-> inverse(inverse(inverse(identity) multiply A))
% Rule [180] identity <-> inverse(inverse(identity multiply inverse(identity)))
% collapsed.
% Current number of equations to process: 322
% Current number of ordered equations: 1
% Current number of rules: 1033
% New rule produced :
% [1093] inverse(inverse(inverse(identity) multiply A)) <-> A
% Rule [183] inverse(inverse(identity multiply inverse(identity))) <-> identity
% collapsed.
% Current number of equations to process: 322
% Current number of ordered equations: 0
% Current number of rules: 1033
% New rule produced :
% [1094] A <-> identity multiply (inverse(identity) multiply A)
% Current number of equations to process: 321
% Current number of ordered equations: 1
% Current number of rules: 1034
% New rule produced :
% [1095] identity multiply (inverse(identity) multiply A) <-> A
% Current number of equations to process: 321
% Current number of ordered equations: 0
% Current number of rules: 1035
% New rule produced :
% [1096] (eq)(inverse(inverse(inverse(identity))),identity) -> (true)
% Current number of equations to process: 320
% Current number of ordered equations: 0
% Current number of rules: 1036
% New rule produced :
% [1097] A <-> identity double_divide (inverse(identity) double_divide A)
% Current number of equations to process: 319
% Current number of ordered equations: 1
% Current number of rules: 1037
% New rule produced :
% [1098] identity double_divide (inverse(identity) double_divide A) <-> A
% Current number of equations to process: 319
% Current number of ordered equations: 0
% Current number of rules: 1038
% New rule produced :
% [1099]
% identity <-> inverse(identity multiply (identity multiply inverse(identity)))
% Current number of equations to process: 316
% Current number of ordered equations: 5
% Current number of rules: 1039
% New rule produced :
% [1100]
% identity <-> inverse(inverse(identity) multiply (identity multiply identity))
% Current number of equations to process: 316
% Current number of ordered equations: 4
% Current number of rules: 1040
% New rule produced :
% [1101]
% identity <-> inverse(identity) multiply inverse(identity multiply identity)
% Current number of equations to process: 316
% Current number of ordered equations: 3
% Current number of rules: 1041
% New rule produced :
% [1102]
% inverse(identity multiply (identity multiply inverse(identity))) <-> identity
% Current number of equations to process: 316
% Current number of ordered equations: 2
% Current number of rules: 1042
% New rule produced :
% [1103]
% inverse(inverse(identity) multiply (identity multiply identity)) <-> identity
% Current number of equations to process: 316
% Current number of ordered equations: 1
% Current number of rules: 1043
% New rule produced :
% [1104]
% inverse(identity) multiply inverse(identity multiply identity) <-> identity
% Current number of equations to process: 316
% Current number of ordered equations: 0
% Current number of rules: 1044
% New rule produced :
% [1105] inverse(inverse(identity) multiply inverse(A)) <-> identity multiply A
% Current number of equations to process: 314
% Current number of ordered equations: 3
% Current number of rules: 1045
% New rule produced :
% [1106] identity multiply A <-> inverse(inverse(identity) multiply inverse(A))
% Current number of equations to process: 314
% Current number of ordered equations: 2
% Current number of rules: 1046
% New rule produced :
% [1107] identity multiply A <-> inverse(identity) multiply inverse(inverse(A))
% Current number of equations to process: 314
% Current number of ordered equations: 1
% Current number of rules: 1047
% New rule produced :
% [1108] inverse(identity) multiply inverse(inverse(A)) <-> identity multiply A
% Current number of equations to process: 314
% Current number of ordered equations: 0
% Current number of rules: 1048
% New rule produced :
% [1109]
% inverse(inverse(A)) <-> inverse(identity) multiply (identity multiply A)
% Current number of equations to process: 312
% Current number of ordered equations: 3
% Current number of rules: 1049
% New rule produced :
% [1110]
% inverse(inverse(A)) <-> (identity multiply inverse(identity)) multiply A
% Current number of equations to process: 312
% Current number of ordered equations: 2
% Current number of rules: 1050
% New rule produced :
% [1111]
% inverse(identity) multiply (identity multiply A) <-> inverse(inverse(A))
% Current number of equations to process: 312
% Current number of ordered equations: 1
% Current number of rules: 1051
% New rule produced :
% [1112]
% (identity multiply inverse(identity)) multiply A <-> inverse(inverse(A))
% Current number of equations to process: 312
% Current number of ordered equations: 0
% Current number of rules: 1052
% New rule produced :
% [1113]
% inverse(inverse(identity multiply inverse(identity))) <->
% identity double_divide identity
% Current number of equations to process: 310
% Current number of ordered equations: 3
% Current number of rules: 1053
% New rule produced :
% [1114]
% inverse(inverse(identity) multiply inverse(identity)) <->
% identity double_divide identity
% Current number of equations to process: 310
% Current number of ordered equations: 2
% Current number of rules: 1054
% New rule produced :
% [1115]
% identity double_divide identity <->
% inverse(inverse(identity multiply inverse(identity)))
% Current number of equations to process: 310
% Current number of ordered equations: 1
% Current number of rules: 1055
% New rule produced :
% [1116]
% identity double_divide identity <->
% inverse(inverse(identity) multiply inverse(identity))
% Current number of equations to process: 310
% Current number of ordered equations: 0
% Current number of rules: 1056
% New rule produced :
% [1117]
% inverse(inverse(identity)) <->
% inverse(identity) multiply (identity double_divide identity)
% Current number of equations to process: 309
% Current number of ordered equations: 1
% Current number of rules: 1057
% New rule produced :
% [1118]
% inverse(identity) multiply (identity double_divide identity) <->
% inverse(inverse(identity))
% Current number of equations to process: 309
% Current number of ordered equations: 0
% Current number of rules: 1058
% New rule produced :
% [1119]
% identity multiply (identity multiply inverse(identity)) <->
% identity double_divide identity
% Current number of equations to process: 307
% Current number of ordered equations: 3
% Current number of rules: 1059
% New rule produced :
% [1120]
% inverse(identity) multiply (identity multiply identity) <->
% identity double_divide identity
% Current number of equations to process: 307
% Current number of ordered equations: 2
% Current number of rules: 1060
% New rule produced :
% [1121]
% identity double_divide identity <->
% identity multiply (identity multiply inverse(identity))
% Current number of equations to process: 307
% Current number of ordered equations: 1
% Current number of rules: 1061
% New rule produced :
% [1122]
% identity double_divide identity <->
% inverse(identity) multiply (identity multiply identity)
% Current number of equations to process: 307
% Current number of ordered equations: 0
% Current number of rules: 1062
% New rule produced :
% [1123]
% identity multiply identity <->
% inverse(identity) multiply (identity double_divide identity)
% Current number of equations to process: 305
% Current number of ordered equations: 3
% Current number of rules: 1063
% New rule produced :
% [1124]
% identity multiply identity <->
% identity double_divide (identity multiply inverse(identity))
% Current number of equations to process: 305
% Current number of ordered equations: 2
% Current number of rules: 1064
% New rule produced :
% [1125]
% inverse(identity) multiply (identity double_divide identity) <->
% identity multiply identity
% Current number of equations to process: 305
% Current number of ordered equations: 1
% Current number of rules: 1065
% New rule produced :
% [1126]
% identity double_divide (identity multiply inverse(identity)) <->
% identity multiply identity
% Current number of equations to process: 305
% Current number of ordered equations: 0
% Current number of rules: 1066
% New rule produced :
% [1127] A <-> inverse(inverse(identity multiply identity)) multiply A
% Current number of equations to process: 304
% Current number of ordered equations: 1
% Current number of rules: 1067
% New rule produced :
% [1128] inverse(inverse(identity multiply identity)) multiply A <-> A
% Current number of equations to process: 304
% Current number of ordered equations: 0
% Current number of rules: 1068
% New rule produced :
% [1129] A <-> inverse(identity double_divide (inverse(identity) multiply A))
% Current number of equations to process: 301
% Current number of ordered equations: 5
% Current number of rules: 1069
% New rule produced :
% [1130] A <-> inverse(identity double_divide inverse(identity)) multiply A
% Current number of equations to process: 301
% Current number of ordered equations: 4
% Current number of rules: 1070
% New rule produced :
% [1131] A <-> inverse(inverse(identity double_divide identity)) multiply A
% Current number of equations to process: 301
% Current number of ordered equations: 3
% Current number of rules: 1071
% New rule produced :
% [1132] inverse(identity double_divide (inverse(identity) multiply A)) <-> A
% Current number of equations to process: 301
% Current number of ordered equations: 2
% Current number of rules: 1072
% New rule produced :
% [1133] inverse(identity double_divide inverse(identity)) multiply A <-> A
% Current number of equations to process: 301
% Current number of ordered equations: 1
% Current number of rules: 1073
% New rule produced :
% [1134] inverse(inverse(identity double_divide identity)) multiply A <-> A
% Current number of equations to process: 301
% Current number of ordered equations: 0
% Current number of rules: 1074
% New rule produced :
% [1135] A <-> identity double_divide inverse(inverse(identity) multiply A)
% Current number of equations to process: 298
% Current number of ordered equations: 3
% Current number of rules: 1075
% New rule produced :
% [1136] A <-> (identity double_divide inverse(inverse(identity))) multiply A
% Current number of equations to process: 298
% Current number of ordered equations: 2
% Current number of rules: 1076
% New rule produced :
% [1137] identity double_divide inverse(inverse(identity) multiply A) <-> A
% Current number of equations to process: 298
% Current number of ordered equations: 1
% Current number of rules: 1077
% New rule produced :
% [1138] (identity double_divide inverse(inverse(identity))) multiply A <-> A
% Current number of equations to process: 298
% Current number of ordered equations: 0
% Current number of rules: 1078
% New rule produced :
% [1139] A <-> inverse(inverse(inverse(inverse(identity)))) multiply A
% Current number of equations to process: 297
% Current number of ordered equations: 1
% Current number of rules: 1079
% New rule produced :
% [1140] inverse(inverse(inverse(inverse(identity)))) multiply A <-> A
% Current number of equations to process: 297
% Current number of ordered equations: 0
% Current number of rules: 1080
% New rule produced :
% [1141] B <-> inverse(inverse(A) double_divide A) multiply B
% Rule
% [1130] A <-> inverse(identity double_divide inverse(identity)) multiply A
% collapsed.
% Current number of equations to process: 296
% Current number of ordered equations: 1
% Current number of rules: 1080
% New rule produced :
% [1142] inverse(inverse(A) double_divide A) multiply B <-> B
% Rule
% [1133] inverse(identity double_divide inverse(identity)) multiply A <-> A
% collapsed.
% Current number of equations to process: 296
% Current number of ordered equations: 0
% Current number of rules: 1080
% New rule produced :
% [1143] (eq)(A,inverse(identity) multiply (identity multiply A)) -> (true)
% Current number of equations to process: 297
% Current number of ordered equations: 1
% Current number of rules: 1081
% New rule produced :
% [1144] (eq)(A,(identity multiply inverse(identity)) multiply A) -> (true)
% Current number of equations to process: 297
% Current number of ordered equations: 0
% Current number of rules: 1082
% New rule produced :
% [1145] (eq)(inverse(inverse(identity) multiply inverse(A)),A) -> (true)
% Current number of equations to process: 295
% Current number of ordered equations: 1
% Current number of rules: 1083
% New rule produced :
% [1146] (eq)(inverse(identity) multiply inverse(inverse(A)),A) -> (true)
% Current number of equations to process: 295
% Current number of ordered equations: 0
% Current number of rules: 1084
% New rule produced :
% [1147] A <-> ((inverse(identity) multiply A) double_divide B) double_divide B
% Current number of equations to process: 292
% Current number of ordered equations: 5
% Current number of rules: 1085
% New rule produced :
% [1148] B <-> inverse((identity double_divide A) double_divide A) multiply B
% Current number of equations to process: 292
% Current number of ordered equations: 4
% Current number of rules: 1086
% New rule produced :
% [1149] B <-> ((inverse(identity) double_divide A) double_divide A) multiply B
% Current number of equations to process: 292
% Current number of ordered equations: 3
% Current number of rules: 1087
% New rule produced :
% [1150] inverse((identity double_divide A) double_divide A) multiply B <-> B
% Current number of equations to process: 292
% Current number of ordered equations: 2
% Current number of rules: 1088
% New rule produced :
% [1151] ((inverse(identity) double_divide A) double_divide A) multiply B <-> B
% Current number of equations to process: 292
% Current number of ordered equations: 1
% Current number of rules: 1089
% New rule produced :
% [1152] ((inverse(identity) multiply A) double_divide B) double_divide B <-> A
% Current number of equations to process: 292
% Current number of ordered equations: 0
% Current number of rules: 1090
% New rule produced :
% [1153]
% (eq)(inverse(identity),identity multiply (identity multiply inverse(identity)))
% -> (true)
% Current number of equations to process: 289
% Current number of ordered equations: 2
% Current number of rules: 1091
% New rule produced :
% [1154]
% (eq)(inverse(identity),inverse(identity) multiply (identity multiply identity))
% -> (true)
% Current number of equations to process: 289
% Current number of ordered equations: 1
% Current number of rules: 1092
% New rule produced :
% [1155]
% (eq)(inverse(identity) multiply inverse(identity),identity multiply identity)
% -> (true)
% Current number of equations to process: 289
% Current number of ordered equations: 0
% Current number of rules: 1093
% New rule produced :
% [1156]
% B <-> (inverse(identity double_divide inverse(A)) double_divide A) multiply B
% Current number of equations to process: 288
% Current number of ordered equations: 1
% Current number of rules: 1094
% New rule produced :
% [1157]
% (inverse(identity double_divide inverse(A)) double_divide A) multiply B <-> B
% Current number of equations to process: 288
% Current number of ordered equations: 0
% Current number of rules: 1095
% New rule produced :
% [1158] A <-> (inverse(identity) multiply inverse(identity)) multiply A
% Current number of equations to process: 322
% Current number of ordered equations: 5
% Current number of rules: 1096
% New rule produced :
% [1159] A <-> inverse(identity) multiply (inverse(identity) multiply A)
% Current number of equations to process: 322
% Current number of ordered equations: 4
% Current number of rules: 1097
% New rule produced :
% [1160] A <-> inverse(identity multiply inverse(identity)) multiply A
% Current number of equations to process: 322
% Current number of ordered equations: 3
% Current number of rules: 1098
% New rule produced :
% [1161] (inverse(identity) multiply inverse(identity)) multiply A <-> A
% Current number of equations to process: 322
% Current number of ordered equations: 2
% Current number of rules: 1099
% New rule produced :
% [1162] inverse(identity) multiply (inverse(identity) multiply A) <-> A
% Current number of equations to process: 322
% Current number of ordered equations: 1
% Current number of rules: 1100
% New rule produced :
% [1163] inverse(identity multiply inverse(identity)) multiply A <-> A
% Current number of equations to process: 322
% Current number of ordered equations: 0
% Current number of rules: 1101
% New rule produced :
% [1164] (eq)(identity,identity multiply inverse(inverse(identity))) -> (true)
% Current number of equations to process: 320
% Current number of ordered equations: 1
% Current number of rules: 1102
% New rule produced :
% [1165] (eq)(identity,inverse(identity) multiply inverse(identity)) -> (true)
% Current number of equations to process: 320
% Current number of ordered equations: 0
% Current number of rules: 1103
% New rule produced :
% [1166]
% (eq)(identity,identity multiply (identity double_divide identity)) -> (true)
% Current number of equations to process: 319
% Current number of ordered equations: 0
% Current number of rules: 1104
% New rule produced :
% [1167]
% (eq)(identity,inverse(identity double_divide inverse(identity))) -> (true)
% Current number of equations to process: 318
% Current number of ordered equations: 0
% Current number of rules: 1105
% New rule produced :
% [1168]
% (eq)(identity,inverse(inverse(identity multiply inverse(identity)))) ->
% (true)
% Current number of equations to process: 321
% Current number of ordered equations: 1
% Current number of rules: 1106
% New rule produced :
% [1169]
% (eq)(identity,inverse(identity) multiply inverse(inverse(identity))) ->
% (true)
% Current number of equations to process: 321
% Current number of ordered equations: 0
% Current number of rules: 1107
% New rule produced :
% [1170]
% (eq)(identity multiply identity,identity multiply inverse(identity)) ->
% (true)
% Current number of equations to process: 320
% Current number of ordered equations: 0
% Current number of rules: 1108
% New rule produced :
% [1171]
% (eq)(identity,inverse(identity) multiply (identity double_divide identity))
% -> (true)
% Current number of equations to process: 318
% Current number of ordered equations: 1
% Current number of rules: 1109
% New rule produced :
% [1172]
% (eq)(identity double_divide identity,identity multiply inverse(identity)) ->
% (true)
% Current number of equations to process: 318
% Current number of ordered equations: 0
% Current number of rules: 1110
% New rule produced :
% [1173]
% (eq)(identity,identity double_divide (identity double_divide inverse(identity)))
% -> (true)
% Current number of equations to process: 317
% Current number of ordered equations: 0
% Current number of rules: 1111
% New rule produced :
% [1174]
% (eq)(identity,identity multiply inverse(inverse(identity multiply identity)))
% -> (true)
% Current number of equations to process: 315
% Current number of ordered equations: 1
% Current number of rules: 1112
% New rule produced :
% [1175]
% (eq)(identity,inverse(identity) multiply inverse(identity multiply identity))
% -> (true)
% Current number of equations to process: 315
% Current number of ordered equations: 0
% Current number of rules: 1113
% New rule produced :
% [1176]
% (eq)(identity,identity multiply inverse(inverse(identity double_divide identity)))
% -> (true)
% Current number of equations to process: 314
% Current number of ordered equations: 0
% Current number of rules: 1114
% New rule produced :
% [1177]
% (eq)(identity,inverse(identity double_divide (identity multiply inverse(identity))))
% -> (true)
% Current number of equations to process: 310
% Current number of ordered equations: 3
% Current number of rules: 1115
% New rule produced :
% [1178]
% (eq)(identity,inverse(identity) multiply inverse(identity double_divide identity))
% -> (true)
% Current number of equations to process: 310
% Current number of ordered equations: 2
% Current number of rules: 1116
% New rule produced :
% [1179]
% (eq)(identity,identity multiply (identity double_divide inverse(inverse(identity))))
% -> (true)
% Current number of equations to process: 307
% Current number of ordered equations: 4
% Current number of rules: 1117
% New rule produced :
% [1180]
% (eq)(identity,identity multiply inverse(identity double_divide inverse(identity)))
% -> (true)
% Current number of equations to process: 307
% Current number of ordered equations: 3
% Current number of rules: 1118
% New rule produced :
% [1181]
% (eq)(identity,identity double_divide inverse(identity multiply inverse(identity)))
% -> (true)
% Current number of equations to process: 307
% Current number of ordered equations: 2
% Current number of rules: 1119
% New rule produced :
% [1182]
% (eq)(identity,inverse(identity) multiply (identity double_divide inverse(identity)))
% -> (true)
% Current number of equations to process: 307
% Current number of ordered equations: 1
% Current number of rules: 1120
% New rule produced :
% [1183]
% (eq)(identity double_divide inverse(identity),identity multiply inverse(identity))
% -> (true)
% Current number of equations to process: 307
% Current number of ordered equations: 0
% Current number of rules: 1121
% New rule produced :
% [1184]
% (eq)(identity,identity multiply inverse(inverse(inverse(inverse(identity)))))
% -> (true)
% Current number of equations to process: 305
% Current number of ordered equations: 1
% Current number of rules: 1122
% New rule produced :
% [1185]
% (eq)(identity,inverse(identity) multiply inverse(inverse(inverse(identity))))
% -> (true)
% Current number of equations to process: 305
% Current number of ordered equations: 0
% Current number of rules: 1123
% New rule produced :
% [1186]
% (eq)(identity,identity multiply inverse(inverse(A) double_divide A)) ->
% (true)
% Rule
% [1180]
% (eq)(identity,identity multiply inverse(identity double_divide inverse(identity)))
% -> (true) collapsed.
% Current number of equations to process: 302
% Current number of ordered equations: 2
% Current number of rules: 1123
% New rule produced :
% [1187]
% (eq)(identity,inverse(identity) multiply (inverse(A) double_divide A)) ->
% (true)
% Rule
% [1182]
% (eq)(identity,inverse(identity) multiply (identity double_divide inverse(identity)))
% -> (true) collapsed.
% Current number of equations to process: 302
% Current number of ordered equations: 1
% Current number of rules: 1123
% New rule produced :
% [1188]
% (eq)(inverse(A) double_divide A,identity multiply inverse(identity)) ->
% (true)
% Rule
% [1183]
% (eq)(identity double_divide inverse(identity),identity multiply inverse(identity))
% -> (true) collapsed.
% Current number of equations to process: 302
% Current number of ordered equations: 0
% Current number of rules: 1123
% New rule produced :
% [1189] identity multiply inverse(A) <-> inverse(identity) double_divide A
% Current number of equations to process: 318
% Current number of ordered equations: 1
% Current number of rules: 1124
% New rule produced :
% [1190] inverse(identity) double_divide A <-> identity multiply inverse(A)
% Current number of equations to process: 318
% Current number of ordered equations: 0
% Current number of rules: 1125
% New rule produced :
% [1191] (eq)(identity,inverse(inverse(inverse(identity)))) -> (true)
% Current number of equations to process: 320
% Current number of ordered equations: 0
% Current number of rules: 1126
% New rule produced :
% [1192] A <-> inverse(identity) double_divide (identity double_divide A)
% Current number of equations to process: 319
% Current number of ordered equations: 1
% Current number of rules: 1127
% New rule produced :
% [1193] inverse(identity) double_divide (identity double_divide A) <-> A
% Current number of equations to process: 319
% Current number of ordered equations: 0
% Current number of rules: 1128
% New rule produced :
% [1194]
% identity <-> inverse(inverse(identity) double_divide inverse(identity))
% Current number of equations to process: 318
% Current number of ordered equations: 1
% Current number of rules: 1129
% New rule produced :
% [1195]
% inverse(inverse(identity) double_divide inverse(identity)) <-> identity
% Current number of equations to process: 318
% Current number of ordered equations: 0
% Current number of rules: 1130
% New rule produced :
% [1196]
% identity double_divide inverse(inverse(A)) <->
% inverse(identity) double_divide A
% Current number of equations to process: 317
% Current number of ordered equations: 1
% Current number of rules: 1131
% New rule produced :
% [1197]
% inverse(identity) double_divide A <->
% identity double_divide inverse(inverse(A))
% Current number of equations to process: 317
% Current number of ordered equations: 0
% Current number of rules: 1132
% New rule produced :
% [1198]
% (eq)(identity,identity multiply (identity multiply identity)) -> (true)
% Current number of equations to process: 316
% Current number of ordered equations: 0
% Current number of rules: 1133
% New rule produced :
% [1199]
% inverse(identity) double_divide A <->
% (inverse(A) double_divide B) double_divide B
% Current number of equations to process: 315
% Current number of ordered equations: 1
% Current number of rules: 1134
% New rule produced :
% [1200]
% (inverse(A) double_divide B) double_divide B <->
% inverse(identity) double_divide A
% Current number of equations to process: 315
% Current number of ordered equations: 0
% Current number of rules: 1135
% New rule produced :
% [1201]
% inverse(identity) double_divide B <->
% inverse(inverse(A) double_divide B) double_divide A
% Current number of equations to process: 317
% Current number of ordered equations: 1
% Current number of rules: 1136
% New rule produced :
% [1202]
% inverse(inverse(A) double_divide B) double_divide A <->
% inverse(identity) double_divide B
% Current number of equations to process: 317
% Current number of ordered equations: 0
% Current number of rules: 1137
% New rule produced :
% [1203]
% (eq)(identity,identity multiply inverse(identity multiply inverse(identity)))
% -> (true)
% Current number of equations to process: 314
% Current number of ordered equations: 2
% Current number of rules: 1138
% New rule produced :
% [1204]
% (eq)(identity,inverse(identity) multiply (identity multiply inverse(identity)))
% -> (true)
% Current number of equations to process: 314
% Current number of ordered equations: 1
% Current number of rules: 1139
% New rule produced :
% [1205]
% (eq)(identity,identity multiply (inverse(identity) multiply inverse(identity)))
% -> (true)
% Current number of equations to process: 314
% Current number of ordered equations: 0
% Current number of rules: 1140
% New rule produced :
% [1206]
% (eq)(inverse(identity) double_divide inverse(A),identity multiply A) ->
% (true)
% Current number of equations to process: 312
% Current number of ordered equations: 1
% Current number of rules: 1141
% New rule produced :
% [1207]
% (eq)(inverse(inverse(identity) double_divide A),identity multiply A) ->
% (true)
% Current number of equations to process: 312
% Current number of ordered equations: 0
% Current number of rules: 1142
% New rule produced :
% [1208]
% inverse(B) <->
% inverse((identity multiply A) double_divide B) double_divide inverse(A)
% Current number of equations to process: 311
% Current number of ordered equations: 1
% Current number of rules: 1143
% New rule produced :
% [1209]
% inverse((identity multiply A) double_divide B) double_divide inverse(A) <->
% inverse(B)
% Current number of equations to process: 311
% Current number of ordered equations: 0
% Current number of rules: 1144
% New rule produced :
% [1210]
% inverse(A) <->
% inverse(identity) double_divide inverse((identity double_divide identity) double_divide A)
% Current number of equations to process: 310
% Current number of ordered equations: 1
% Current number of rules: 1145
% New rule produced :
% [1211]
% inverse(identity) double_divide inverse((identity double_divide identity) double_divide A)
% <-> inverse(A)
% Current number of equations to process: 310
% Current number of ordered equations: 0
% Current number of rules: 1146
% New rule produced :
% [1212]
% inverse(B) <->
% inverse((inverse(identity) double_divide A) double_divide B) double_divide A
% Current number of equations to process: 308
% Current number of ordered equations: 3
% Current number of rules: 1147
% New rule produced :
% [1213]
% inverse(B) <->
% (inverse(identity) double_divide (inverse(A) double_divide B)) double_divide A
% Current number of equations to process: 308
% Current number of ordered equations: 2
% Current number of rules: 1148
% New rule produced :
% [1214]
% inverse((inverse(identity) double_divide A) double_divide B) double_divide A
% <-> inverse(B)
% Current number of equations to process: 308
% Current number of ordered equations: 1
% Current number of rules: 1149
% New rule produced :
% [1215]
% (inverse(identity) double_divide (inverse(A) double_divide B)) double_divide A
% <-> inverse(B)
% Current number of equations to process: 308
% Current number of ordered equations: 0
% Current number of rules: 1150
% New rule produced :
% [1216] inverse(inverse(identity) double_divide A) <-> identity multiply A
% Current number of equations to process: 326
% Current number of ordered equations: 3
% Current number of rules: 1151
% New rule produced :
% [1217] identity multiply A <-> inverse(inverse(identity) double_divide A)
% Current number of equations to process: 326
% Current number of ordered equations: 2
% Current number of rules: 1152
% New rule produced :
% [1218] identity multiply A <-> inverse(identity) double_divide inverse(A)
% Current number of equations to process: 326
% Current number of ordered equations: 1
% Current number of rules: 1153
% New rule produced :
% [1219] inverse(identity) double_divide inverse(A) <-> identity multiply A
% Current number of equations to process: 326
% Current number of ordered equations: 0
% Current number of rules: 1154
% New rule produced :
% [1220]
% identity double_divide identity <->
% inverse(identity) double_divide inverse(identity)
% Current number of equations to process: 325
% Current number of ordered equations: 1
% Current number of rules: 1155
% New rule produced :
% [1221]
% inverse(identity) double_divide inverse(identity) <->
% identity double_divide identity
% Current number of equations to process: 325
% Current number of ordered equations: 0
% Current number of rules: 1156
% New rule produced :
% [1222]
% inverse(identity) multiply inverse(A) <-> inverse(identity) double_divide A
% Current number of equations to process: 324
% Current number of ordered equations: 1
% Current number of rules: 1157
% New rule produced :
% [1223]
% inverse(identity) double_divide A <-> inverse(identity) multiply inverse(A)
% Current number of equations to process: 324
% Current number of ordered equations: 0
% Current number of rules: 1158
% New rule produced :
% [1224] inverse(A) <-> identity multiply (inverse(identity) double_divide A)
% Current number of equations to process: 323
% Current number of ordered equations: 1
% Current number of rules: 1159
% New rule produced :
% [1225] identity multiply (inverse(identity) double_divide A) <-> inverse(A)
% Current number of equations to process: 323
% Current number of ordered equations: 0
% Current number of rules: 1160
% New rule produced :
% [1226] (eq)(inverse(identity) double_divide inverse(A),A) -> (true)
% Current number of equations to process: 321
% Current number of ordered equations: 1
% Current number of rules: 1161
% New rule produced :
% [1227] (eq)(inverse(inverse(identity) double_divide A),A) -> (true)
% Current number of equations to process: 321
% Current number of ordered equations: 0
% Current number of rules: 1162
% New rule produced :
% [1228]
% inverse(inverse(identity)) <-> inverse(inverse(inverse(A))) double_divide A
% Current number of equations to process: 320
% Current number of ordered equations: 1
% Current number of rules: 1163
% New rule produced :
% [1229]
% inverse(inverse(inverse(A))) double_divide A <-> inverse(inverse(identity))
% Current number of equations to process: 320
% Current number of ordered equations: 0
% Current number of rules: 1164
% New rule produced :
% [1230]
% inverse(A) <-> inverse(inverse(identity multiply identity)) double_divide A
% Current number of equations to process: 319
% Current number of ordered equations: 1
% Current number of rules: 1165
% New rule produced :
% [1231]
% inverse(inverse(identity multiply identity)) double_divide A <-> inverse(A)
% Current number of equations to process: 319
% Current number of ordered equations: 0
% Current number of rules: 1166
% New rule produced :
% [1232]
% inverse(A) <->
% inverse(identity double_divide inverse(identity)) double_divide A
% Current number of equations to process: 317
% Current number of ordered equations: 3
% Current number of rules: 1167
% New rule produced :
% [1233]
% inverse(A) <->
% inverse(inverse(identity double_divide identity)) double_divide A
% Current number of equations to process: 317
% Current number of ordered equations: 2
% Current number of rules: 1168
% New rule produced :
% [1234]
% inverse(identity double_divide inverse(identity)) double_divide A <->
% inverse(A)
% Current number of equations to process: 317
% Current number of ordered equations: 1
% Current number of rules: 1169
% New rule produced :
% [1235]
% inverse(inverse(identity double_divide identity)) double_divide A <->
% inverse(A)
% Current number of equations to process: 317
% Current number of ordered equations: 0
% Current number of rules: 1170
% New rule produced :
% [1236]
% inverse(A) <->
% (identity double_divide inverse(inverse(identity))) double_divide A
% Current number of equations to process: 315
% Current number of ordered equations: 1
% Current number of rules: 1171
% New rule produced :
% [1237]
% (identity double_divide inverse(inverse(identity))) double_divide A <->
% inverse(A)
% Current number of equations to process: 315
% Current number of ordered equations: 0
% Current number of rules: 1172
% New rule produced :
% [1238]
% inverse(A) <-> inverse(inverse(inverse(inverse(identity)))) double_divide A
% Current number of equations to process: 314
% Current number of ordered equations: 1
% Current number of rules: 1173
% New rule produced :
% [1239]
% inverse(inverse(inverse(inverse(identity)))) double_divide A <-> inverse(A)
% Current number of equations to process: 314
% Current number of ordered equations: 0
% Current number of rules: 1174
% New rule produced :
% [1240] inverse(B) <-> inverse(inverse(A) double_divide A) double_divide B
% Rule
% [1232]
% inverse(A) <->
% inverse(identity double_divide inverse(identity)) double_divide A collapsed.
% Current number of equations to process: 313
% Current number of ordered equations: 1
% Current number of rules: 1174
% New rule produced :
% [1241] inverse(inverse(A) double_divide A) double_divide B <-> inverse(B)
% Rule
% [1234]
% inverse(identity double_divide inverse(identity)) double_divide A <->
% inverse(A) collapsed.
% Current number of equations to process: 313
% Current number of ordered equations: 0
% Current number of rules: 1174
% New rule produced :
% [1242]
% inverse(A) <->
% ((inverse(identity) double_divide A) double_divide B) double_divide B
% Current number of equations to process: 318
% Current number of ordered equations: 5
% Current number of rules: 1175
% New rule produced :
% [1243]
% inverse(B) <->
% inverse((identity double_divide A) double_divide A) double_divide B
% Current number of equations to process: 318
% Current number of ordered equations: 4
% Current number of rules: 1176
% New rule produced :
% [1244]
% inverse(B) <->
% ((inverse(identity) double_divide A) double_divide A) double_divide B
% Current number of equations to process: 318
% Current number of ordered equations: 3
% Current number of rules: 1177
% New rule produced :
% [1245]
% ((inverse(identity) double_divide A) double_divide B) double_divide B <->
% inverse(A)
% Current number of equations to process: 318
% Current number of ordered equations: 2
% Current number of rules: 1178
% New rule produced :
% [1246]
% inverse((identity double_divide A) double_divide A) double_divide B <->
% inverse(B)
% Current number of equations to process: 318
% Current number of ordered equations: 1
% Current number of rules: 1179
% New rule produced :
% [1247]
% ((inverse(identity) double_divide A) double_divide A) double_divide B <->
% inverse(B)
% Current number of equations to process: 318
% Current number of ordered equations: 0
% Current number of rules: 1180
% New rule produced :
% [1248]
% B <->
% inverse(inverse((identity double_divide A) double_divide B) double_divide A)
% Current number of equations to process: 317
% Current number of ordered equations: 1
% Current number of rules: 1181
% New rule produced :
% [1249]
% inverse(inverse((identity double_divide A) double_divide B) double_divide A)
% <-> B
% Current number of equations to process: 317
% Current number of ordered equations: 0
% Current number of rules: 1182
% New rule produced :
% [1250]
% inverse(B) <->
% (inverse(identity double_divide inverse(A)) double_divide A) double_divide B
% Current number of equations to process: 316
% Current number of ordered equations: 1
% Current number of rules: 1183
% New rule produced :
% [1251]
% (inverse(identity double_divide inverse(A)) double_divide A) double_divide B
% <-> inverse(B)
% Current number of equations to process: 316
% Current number of ordered equations: 0
% Current number of rules: 1184
% New rule produced :
% [1252]
% inverse(inverse(identity multiply identity)) <-> inverse(A) double_divide A
% Current number of equations to process: 335
% Current number of ordered equations: 1
% Current number of rules: 1185
% New rule produced :
% [1253]
% inverse(A) double_divide A <-> inverse(inverse(identity multiply identity))
% Current number of equations to process: 335
% Current number of ordered equations: 0
% Current number of rules: 1186
% New rule produced :
% [1254]
% inverse(inverse(identity double_divide identity)) <->
% inverse(A) double_divide A
% Current number of equations to process: 333
% Current number of ordered equations: 3
% Current number of rules: 1187
% New rule produced :
% [1255]
% inverse(A) double_divide A <->
% inverse(inverse(identity double_divide identity))
% Current number of equations to process: 333
% Current number of ordered equations: 2
% Current number of rules: 1188
% New rule produced :
% [1256]
% inverse(identity double_divide inverse(identity)) <->
% inverse(A) double_divide A
% Current number of equations to process: 332
% Current number of ordered equations: 3
% Current number of rules: 1189
% New rule produced :
% [1257]
% identity double_divide inverse(inverse(identity)) <->
% inverse(A) double_divide A
% Current number of equations to process: 332
% Current number of ordered equations: 2
% Current number of rules: 1190
% New rule produced :
% [1258]
% inverse(A) double_divide A <->
% inverse(identity double_divide inverse(identity))
% Current number of equations to process: 332
% Current number of ordered equations: 1
% Current number of rules: 1191
% New rule produced :
% [1259]
% inverse(A) double_divide A <->
% identity double_divide inverse(inverse(identity))
% Current number of equations to process: 332
% Current number of ordered equations: 0
% Current number of rules: 1192
% New rule produced :
% [1260]
% inverse(inverse(inverse(inverse(identity)))) <-> inverse(A) double_divide A
% Current number of equations to process: 331
% Current number of ordered equations: 1
% Current number of rules: 1193
% New rule produced :
% [1261]
% inverse(A) double_divide A <-> inverse(inverse(inverse(inverse(identity))))
% Current number of equations to process: 331
% Current number of ordered equations: 0
% Current number of rules: 1194
% New rule produced :
% [1262] inverse(inverse(A) double_divide A) <-> inverse(B) double_divide B
% Rule
% [1256]
% inverse(identity double_divide inverse(identity)) <->
% inverse(A) double_divide A collapsed.
% Current number of equations to process: 330
% Current number of ordered equations: 1
% Current number of rules: 1194
% New rule produced :
% [1263] inverse(B) double_divide B <-> inverse(inverse(A) double_divide A)
% Rule
% [1258]
% inverse(A) double_divide A <->
% inverse(identity double_divide inverse(identity)) collapsed.
% Current number of equations to process: 330
% Current number of ordered equations: 0
% Current number of rules: 1194
% New rule produced :
% [1264]
% inverse(A) <-> (inverse(identity) multiply inverse(identity)) double_divide A
% Current number of equations to process: 328
% Current number of ordered equations: 3
% Current number of rules: 1195
% New rule produced :
% [1265]
% inverse(A) <-> inverse(identity multiply inverse(identity)) double_divide A
% Current number of equations to process: 328
% Current number of ordered equations: 2
% Current number of rules: 1196
% New rule produced :
% [1266]
% (inverse(identity) multiply inverse(identity)) double_divide A <-> inverse(A)
% Current number of equations to process: 328
% Current number of ordered equations: 1
% Current number of rules: 1197
% New rule produced :
% [1267]
% inverse(identity multiply inverse(identity)) double_divide A <-> inverse(A)
% Current number of equations to process: 328
% Current number of ordered equations: 0
% Current number of rules: 1198
% New rule produced :
% [1268]
% inverse((identity double_divide A) double_divide A) <->
% inverse(B) double_divide B
% Current number of equations to process: 326
% Current number of ordered equations: 3
% Current number of rules: 1199
% New rule produced :
% [1269]
% inverse(B) double_divide B <->
% inverse((identity double_divide A) double_divide A)
% Current number of equations to process: 326
% Current number of ordered equations: 2
% Current number of rules: 1200
% New rule produced :
% [1270]
% inverse(B) double_divide B <->
% (inverse(identity) double_divide A) double_divide A
% Current number of equations to process: 326
% Current number of ordered equations: 1
% Current number of rules: 1201
% New rule produced :
% [1271]
% (inverse(identity) double_divide A) double_divide A <->
% inverse(B) double_divide B
% Current number of equations to process: 326
% Current number of ordered equations: 0
% Current number of rules: 1202
% New rule produced :
% [1272]
% inverse(B) double_divide B <->
% inverse(identity double_divide inverse(A)) double_divide A
% Current number of equations to process: 328
% Current number of ordered equations: 1
% Current number of rules: 1203
% New rule produced :
% [1273]
% inverse(identity double_divide inverse(A)) double_divide A <->
% inverse(B) double_divide B
% Current number of equations to process: 328
% Current number of ordered equations: 0
% Current number of rules: 1204
% New rule produced :
% [1274]
% inverse(B) <->
% identity double_divide inverse((inverse(A) double_divide A) double_divide B)
% Current number of equations to process: 327
% Current number of ordered equations: 1
% Current number of rules: 1205
% New rule produced :
% [1275]
% identity double_divide inverse((inverse(A) double_divide A) double_divide B)
% <-> inverse(B)
% Current number of equations to process: 327
% Current number of ordered equations: 0
% Current number of rules: 1206
% New rule produced :
% [1276] inverse(inverse(identity)) <-> inverse(A) multiply A
% Current number of equations to process: 338
% Current number of ordered equations: 1
% Current number of rules: 1207
% New rule produced :
% [1277] inverse(A) multiply A <-> inverse(inverse(identity))
% Current number of equations to process: 338
% Current number of ordered equations: 0
% Current number of rules: 1208
% New rule produced :
% [1278] inverse(A) multiply A <-> identity double_divide inverse(identity)
% Current number of equations to process: 338
% Current number of ordered equations: 1
% Current number of rules: 1209
% New rule produced :
% [1279] identity double_divide inverse(identity) <-> inverse(A) multiply A
% Current number of equations to process: 338
% Current number of ordered equations: 0
% Current number of rules: 1210
% New rule produced :
% [1280]
% inverse(inverse(A) double_divide A) <-> identity double_divide identity
% Current number of equations to process: 339
% Current number of ordered equations: 1
% Current number of rules: 1211
% New rule produced :
% [1281]
% identity double_divide identity <-> inverse(inverse(A) double_divide A)
% Current number of equations to process: 339
% Current number of ordered equations: 0
% Current number of rules: 1212
% New rule produced :
% [1282]
% inverse(identity multiply inverse(identity)) <-> inverse(A) double_divide A
% Current number of equations to process: 337
% Current number of ordered equations: 3
% Current number of rules: 1213
% New rule produced :
% [1283]
% inverse(identity) multiply inverse(identity) <-> inverse(A) double_divide A
% Current number of equations to process: 337
% Current number of ordered equations: 2
% Current number of rules: 1214
% New rule produced :
% [1284]
% inverse(A) double_divide A <-> inverse(identity multiply inverse(identity))
% Current number of equations to process: 337
% Current number of ordered equations: 1
% Current number of rules: 1215
% New rule produced :
% [1285]
% inverse(A) double_divide A <-> inverse(identity) multiply inverse(identity)
% Current number of equations to process: 337
% Current number of ordered equations: 0
% Current number of rules: 1216
% New rule produced :
% [1286]
% inverse(inverse(inverse(A))) <-> inverse(inverse(identity)) double_divide A
% Current number of equations to process: 336
% Current number of ordered equations: 1
% Current number of rules: 1217
% New rule produced :
% [1287]
% inverse(inverse(identity)) double_divide A <-> inverse(inverse(inverse(A)))
% Current number of equations to process: 336
% Current number of ordered equations: 0
% Current number of rules: 1218
% New rule produced :
% [1288] (eq)(inverse(inverse(A) double_divide A),identity) -> (true)
% Current number of equations to process: 335
% Current number of ordered equations: 0
% Current number of rules: 1219
% New rule produced :
% [1289]
% inverse(identity) <->
% (identity double_divide inverse(inverse(A))) double_divide A
% Current number of equations to process: 334
% Current number of ordered equations: 1
% Current number of rules: 1220
% New rule produced :
% [1290]
% (identity double_divide inverse(inverse(A))) double_divide A <->
% inverse(identity)
% Current number of equations to process: 334
% Current number of ordered equations: 0
% Current number of rules: 1221
% New rule produced :
% [1291] inverse(identity) <-> (A multiply B) double_divide (A double_divide B)
% Current number of equations to process: 333
% Current number of ordered equations: 1
% Current number of rules: 1222
% New rule produced :
% [1292] (A multiply B) double_divide (A double_divide B) <-> inverse(identity)
% Current number of equations to process: 333
% Current number of ordered equations: 0
% Current number of rules: 1223
% New rule produced :
% [1293] (eq)(inverse(A) double_divide A,identity multiply identity) -> (true)
% Current number of equations to process: 337
% Current number of ordered equations: 0
% Current number of rules: 1224
% New rule produced :
% [1294]
% inverse(identity) <->
% ((inverse(A) double_divide A) double_divide B) double_divide B
% Current number of equations to process: 335
% Current number of ordered equations: 3
% Current number of rules: 1225
% New rule produced :
% [1295]
% inverse(identity) <->
% ((inverse(A) double_divide B) double_divide B) double_divide A
% Current number of equations to process: 335
% Current number of ordered equations: 2
% Current number of rules: 1226
% New rule produced :
% [1296]
% ((inverse(A) double_divide A) double_divide B) double_divide B <->
% inverse(identity)
% Current number of equations to process: 335
% Current number of ordered equations: 1
% Current number of rules: 1227
% New rule produced :
% [1297]
% ((inverse(A) double_divide B) double_divide B) double_divide A <->
% inverse(identity)
% Current number of equations to process: 335
% Current number of ordered equations: 0
% Current number of rules: 1228
% New rule produced :
% [1298]
% inverse(identity) <->
% (inverse(inverse(A) double_divide B) double_divide A) double_divide B
% Current number of equations to process: 334
% Current number of ordered equations: 1
% Current number of rules: 1229
% New rule produced :
% [1299]
% (inverse(inverse(A) double_divide B) double_divide A) double_divide B <->
% inverse(identity)
% Current number of equations to process: 334
% Current number of ordered equations: 0
% Current number of rules: 1230
% New rule produced : [1300] identity <-> inverse(A) multiply A
% Current number of equations to process: 350
% Current number of ordered equations: 1
% Current number of rules: 1231
% New rule produced : [1301] inverse(A) multiply A <-> identity
% Current number of equations to process: 350
% Current number of ordered equations: 0
% Current number of rules: 1232
% New rule produced : [1302] identity <-> inverse(inverse(A) multiply A)
% Rule
% [1053]
% identity <-> inverse(inverse(identity) multiply inverse(inverse(identity)))
% collapsed.
% Current number of equations to process: 359
% Current number of ordered equations: 1
% Current number of rules: 1232
% New rule produced : [1303] inverse(inverse(A) multiply A) <-> identity
% Rule
% [1057]
% inverse(inverse(identity) multiply inverse(inverse(identity))) <-> identity
% collapsed.
% Current number of equations to process: 359
% Current number of ordered equations: 0
% Current number of rules: 1232
% New rule produced : [1304] inverse(A) multiply A <-> inverse(B) multiply B
% Current number of equations to process: 358
% Current number of ordered equations: 0
% Current number of rules: 1233
% New rule produced :
% [1305] inverse(inverse(inverse(identity))) <-> inverse(A) multiply A
% Current number of equations to process: 357
% Current number of ordered equations: 1
% Current number of rules: 1234
% New rule produced :
% [1306] inverse(A) multiply A <-> inverse(inverse(inverse(identity)))
% Current number of equations to process: 357
% Current number of ordered equations: 0
% Current number of rules: 1235
% New rule produced :
% [1307] inverse(identity multiply identity) <-> inverse(A) multiply A
% Current number of equations to process: 355
% Current number of ordered equations: 1
% Current number of rules: 1236
% New rule produced :
% [1308] inverse(A) multiply A <-> inverse(identity multiply identity)
% Current number of equations to process: 355
% Current number of ordered equations: 0
% Current number of rules: 1237
% New rule produced :
% [1309] inverse(identity double_divide identity) <-> inverse(A) multiply A
% Current number of equations to process: 354
% Current number of ordered equations: 1
% Current number of rules: 1238
% New rule produced :
% [1310] inverse(A) multiply A <-> inverse(identity double_divide identity)
% Current number of equations to process: 354
% Current number of ordered equations: 0
% Current number of rules: 1239
% New rule produced :
% [1311] identity <-> inverse(inverse(inverse(A) multiply A))
% Current number of equations to process: 355
% Current number of ordered equations: 1
% Current number of rules: 1240
% New rule produced :
% [1312] inverse(inverse(inverse(A) multiply A)) <-> identity
% Current number of equations to process: 355
% Current number of ordered equations: 0
% Current number of rules: 1241
% New rule produced :
% [1313] identity <-> identity double_divide (inverse(A) multiply A)
% Current number of equations to process: 354
% Current number of ordered equations: 1
% Current number of rules: 1242
% New rule produced :
% [1314] identity double_divide (inverse(A) multiply A) <-> identity
% Current number of equations to process: 354
% Current number of ordered equations: 0
% Current number of rules: 1243
% New rule produced :
% [1315] inverse(identity) <-> inverse(A) double_divide (identity multiply A)
% Current number of equations to process: 353
% Current number of ordered equations: 1
% Current number of rules: 1244
% New rule produced :
% [1316] inverse(A) double_divide (identity multiply A) <-> inverse(identity)
% Current number of equations to process: 353
% Current number of ordered equations: 0
% Current number of rules: 1245
% New rule produced :
% [1317]
% inverse(identity) <->
% inverse(identity) double_divide (identity double_divide identity)
% Current number of equations to process: 352
% Current number of ordered equations: 1
% Current number of rules: 1246
% New rule produced :
% [1318]
% inverse(identity) double_divide (identity double_divide identity) <->
% inverse(identity)
% Current number of equations to process: 352
% Current number of ordered equations: 0
% Current number of rules: 1247
% New rule produced :
% [1319] inverse(inverse(identity multiply identity)) <-> inverse(A) multiply A
% Current number of equations to process: 351
% Current number of ordered equations: 1
% Current number of rules: 1248
% New rule produced :
% [1320] inverse(A) multiply A <-> inverse(inverse(identity multiply identity))
% Current number of equations to process: 351
% Current number of ordered equations: 0
% Current number of rules: 1249
% New rule produced :
% [1321]
% inverse(inverse(identity double_divide identity)) <-> inverse(A) multiply A
% Current number of equations to process: 349
% Current number of ordered equations: 3
% Current number of rules: 1250
% New rule produced :
% [1322]
% inverse(A) multiply A <-> inverse(inverse(identity double_divide identity))
% Current number of equations to process: 349
% Current number of ordered equations: 2
% Current number of rules: 1251
% New rule produced :
% [1323]
% inverse(identity double_divide inverse(identity)) <-> inverse(A) multiply A
% Current number of equations to process: 348
% Current number of ordered equations: 3
% Current number of rules: 1252
% New rule produced :
% [1324]
% inverse(A) multiply A <-> inverse(identity double_divide inverse(identity))
% Current number of equations to process: 348
% Current number of ordered equations: 2
% Current number of rules: 1253
% New rule produced :
% [1325]
% inverse(A) multiply A <-> identity double_divide inverse(inverse(identity))
% Current number of equations to process: 348
% Current number of ordered equations: 1
% Current number of rules: 1254
% New rule produced :
% [1326]
% identity double_divide inverse(inverse(identity)) <-> inverse(A) multiply A
% Current number of equations to process: 348
% Current number of ordered equations: 0
% Current number of rules: 1255
% New rule produced :
% [1327] inverse(inverse(inverse(inverse(identity)))) <-> inverse(A) multiply A
% Current number of equations to process: 347
% Current number of ordered equations: 1
% Current number of rules: 1256
% New rule produced :
% [1328] inverse(A) multiply A <-> inverse(inverse(inverse(inverse(identity))))
% Current number of equations to process: 347
% Current number of ordered equations: 0
% Current number of rules: 1257
% New rule produced :
% [1329] inverse(inverse(A) double_divide A) <-> inverse(B) multiply B
% Rule
% [1323]
% inverse(identity double_divide inverse(identity)) <-> inverse(A) multiply A
% collapsed.
% Current number of equations to process: 346
% Current number of ordered equations: 1
% Current number of rules: 1257
% New rule produced :
% [1330] inverse(B) multiply B <-> inverse(inverse(A) double_divide A)
% Rule
% [1324]
% inverse(A) multiply A <-> inverse(identity double_divide inverse(identity))
% collapsed.
% Current number of equations to process: 346
% Current number of ordered equations: 0
% Current number of rules: 1257
% New rule produced :
% [1331]
% inverse(identity) <-> (inverse(identity) multiply inverse(A)) double_divide A
% Current number of equations to process: 345
% Current number of ordered equations: 1
% Current number of rules: 1258
% New rule produced :
% [1332]
% (inverse(identity) multiply inverse(A)) double_divide A <-> inverse(identity)
% Current number of equations to process: 345
% Current number of ordered equations: 0
% Current number of rules: 1259
% New rule produced :
% [1333]
% inverse((identity double_divide A) double_divide A) <-> inverse(B) multiply B
% Current number of equations to process: 343
% Current number of ordered equations: 3
% Current number of rules: 1260
% New rule produced :
% [1334]
% inverse(B) multiply B <-> inverse((identity double_divide A) double_divide A)
% Current number of equations to process: 343
% Current number of ordered equations: 2
% Current number of rules: 1261
% New rule produced :
% [1335]
% inverse(B) multiply B <-> (inverse(identity) double_divide A) double_divide A
% Current number of equations to process: 343
% Current number of ordered equations: 1
% Current number of rules: 1262
% New rule produced :
% [1336]
% (inverse(identity) double_divide A) double_divide A <-> inverse(B) multiply B
% Current number of equations to process: 343
% Current number of ordered equations: 0
% Current number of rules: 1263
% New rule produced :
% [1337]
% inverse(B) multiply B <->
% inverse(identity double_divide inverse(A)) double_divide A
% Current number of equations to process: 345
% Current number of ordered equations: 1
% Current number of rules: 1264
% New rule produced :
% [1338]
% inverse(identity double_divide inverse(A)) double_divide A <->
% inverse(B) multiply B
% Current number of equations to process: 345
% Current number of ordered equations: 0
% Current number of rules: 1265
% New rule produced :
% [1339]
% (eq)(inverse(inverse(A) multiply A),identity multiply identity) -> (true)
% Current number of equations to process: 344
% Current number of ordered equations: 0
% Current number of rules: 1266
% New rule produced :
% [1340]
% inverse(B) <->
% identity double_divide inverse((inverse(A) multiply A) double_divide B)
% Current number of equations to process: 343
% Current number of ordered equations: 1
% Current number of rules: 1267
% New rule produced :
% [1341]
% identity double_divide inverse((inverse(A) multiply A) double_divide B) <->
% inverse(B)
% Current number of equations to process: 343
% Current number of ordered equations: 0
% Current number of rules: 1268
% New rule produced :
% [1342] identity multiply identity <-> inverse(A) multiply A
% Current number of equations to process: 365
% Current number of ordered equations: 1
% Current number of rules: 1269
% New rule produced :
% [1343] inverse(A) multiply A <-> identity multiply identity
% Current number of equations to process: 365
% Current number of ordered equations: 0
% Current number of rules: 1270
% New rule produced :
% [1344] inverse(B) multiply B <-> inverse(A) double_divide A
% Rule
% [1026] identity multiply inverse(identity) <-> inverse(A) double_divide A
% collapsed.
% Rule
% [1278] inverse(A) multiply A <-> identity double_divide inverse(identity)
% collapsed.
% Current number of equations to process: 364
% Current number of ordered equations: 1
% Current number of rules: 1269
% New rule produced :
% [1345] inverse(A) double_divide A <-> inverse(B) multiply B
% Rule
% [1027] inverse(A) double_divide A <-> identity multiply inverse(identity)
% collapsed.
% Rule
% [1279] identity double_divide inverse(identity) <-> inverse(A) multiply A
% collapsed.
% Current number of equations to process: 364
% Current number of ordered equations: 0
% Current number of rules: 1268
% New rule produced :
% [1346] inverse(inverse(A) multiply A) <-> identity multiply identity
% Current number of equations to process: 364
% Current number of ordered equations: 1
% Current number of rules: 1269
% New rule produced :
% [1347] identity multiply identity <-> inverse(inverse(A) multiply A)
% Current number of equations to process: 364
% Current number of ordered equations: 0
% Current number of rules: 1270
% New rule produced :
% [1348] inverse(inverse(A) multiply A) <-> identity double_divide identity
% Rule
% [941]
% inverse(identity multiply inverse(identity)) <->
% identity double_divide identity collapsed.
% Current number of equations to process: 363
% Current number of ordered equations: 1
% Current number of rules: 1270
% New rule produced :
% [1349] identity double_divide identity <-> inverse(inverse(A) multiply A)
% Rule
% [944]
% identity double_divide identity <->
% inverse(identity multiply inverse(identity)) collapsed.
% Current number of equations to process: 363
% Current number of ordered equations: 0
% Current number of rules: 1270
% New rule produced : [1350] B <-> (inverse(A) multiply A) multiply B
% Rule [1033] A <-> (identity multiply inverse(identity)) multiply A collapsed.
% Current number of equations to process: 362
% Current number of ordered equations: 1
% Current number of rules: 1270
% New rule produced : [1351] (inverse(A) multiply A) multiply B <-> B
% Rule [1035] (identity multiply inverse(identity)) multiply A <-> A collapsed.
% Current number of equations to process: 362
% Current number of ordered equations: 0
% Current number of rules: 1270
% New rule produced :
% [1352] inverse(identity multiply inverse(identity)) <-> inverse(A) multiply A
% Current number of equations to process: 360
% Current number of ordered equations: 3
% Current number of rules: 1271
% New rule produced :
% [1353] inverse(A) multiply A <-> inverse(identity multiply inverse(identity))
% Current number of equations to process: 360
% Current number of ordered equations: 2
% Current number of rules: 1272
% New rule produced :
% [1354] inverse(A) multiply A <-> inverse(identity) multiply inverse(identity)
% Current number of equations to process: 360
% Current number of ordered equations: 1
% Current number of rules: 1273
% New rule produced :
% [1355] inverse(identity) multiply inverse(identity) <-> inverse(A) multiply A
% Current number of equations to process: 360
% Current number of ordered equations: 0
% Current number of rules: 1274
% New rule produced :
% [1356] inverse(B) <-> (inverse(A) multiply A) double_divide B
% Rule
% [1041] inverse(A) <-> (identity multiply inverse(identity)) double_divide A
% collapsed.
% Current number of equations to process: 359
% Current number of ordered equations: 1
% Current number of rules: 1274
% New rule produced :
% [1357] (inverse(A) multiply A) double_divide B <-> inverse(B)
% Rule
% [1043] (identity multiply inverse(identity)) double_divide A <-> inverse(A)
% collapsed.
% Current number of equations to process: 359
% Current number of ordered equations: 0
% Current number of rules: 1274
% New rule produced :
% [1358] inverse(identity) <-> inverse(inverse(inverse(A))) multiply A
% Current number of equations to process: 357
% Current number of ordered equations: 1
% Current number of rules: 1275
% New rule produced :
% [1359] inverse(inverse(inverse(A))) multiply A <-> inverse(identity)
% Current number of equations to process: 357
% Current number of ordered equations: 0
% Current number of rules: 1276
% New rule produced :
% [1360] inverse(identity) <-> identity multiply (inverse(A) multiply A)
% Current number of equations to process: 355
% Current number of ordered equations: 3
% Current number of rules: 1277
% New rule produced :
% [1361] inverse(identity) <-> (identity multiply inverse(A)) multiply A
% Current number of equations to process: 355
% Current number of ordered equations: 2
% Current number of rules: 1278
% New rule produced :
% [1362] identity multiply (inverse(A) multiply A) <-> inverse(identity)
% Current number of equations to process: 355
% Current number of ordered equations: 1
% Current number of rules: 1279
% New rule produced :
% [1363] (identity multiply inverse(A)) multiply A <-> inverse(identity)
% Current number of equations to process: 355
% Current number of ordered equations: 0
% Current number of rules: 1280
% New rule produced :
% [1364] (eq)(inverse(inverse(A) multiply A),identity) -> (true)
% Current number of equations to process: 354
% Current number of ordered equations: 0
% Current number of rules: 1281
% New rule produced :
% [1365]
% inverse(identity) <-> inverse(identity double_divide inverse(A)) multiply A
% Current number of equations to process: 353
% Current number of ordered equations: 1
% Current number of rules: 1282
% New rule produced :
% [1366]
% inverse(identity double_divide inverse(A)) multiply A <-> inverse(identity)
% Current number of equations to process: 353
% Current number of ordered equations: 0
% Current number of rules: 1283
% New rule produced :
% [1367]
% inverse(identity) <-> identity double_divide inverse(inverse(A) multiply A)
% Current number of equations to process: 351
% Current number of ordered equations: 3
% Current number of rules: 1284
% New rule produced :
% [1368]
% inverse(identity) <-> (identity double_divide inverse(inverse(A))) multiply A
% Current number of equations to process: 351
% Current number of ordered equations: 2
% Current number of rules: 1285
% New rule produced :
% [1369]
% identity double_divide inverse(inverse(A) multiply A) <-> inverse(identity)
% Current number of equations to process: 351
% Current number of ordered equations: 1
% Current number of rules: 1286
% New rule produced :
% [1370]
% (identity double_divide inverse(inverse(A))) multiply A <-> inverse(identity)
% Current number of equations to process: 351
% Current number of ordered equations: 0
% Current number of rules: 1287
% New rule produced :
% [1371] inverse(identity) <-> (A multiply B) multiply (A double_divide B)
% Current number of equations to process: 350
% Current number of ordered equations: 1
% Current number of rules: 1288
% New rule produced :
% [1372] (A multiply B) multiply (A double_divide B) <-> inverse(identity)
% Current number of equations to process: 350
% Current number of ordered equations: 0
% Current number of rules: 1289
% New rule produced :
% [1373] (eq)(inverse(A) multiply A,identity multiply identity) -> (true)
% Rule
% [827]
% (eq)(identity multiply inverse(identity),identity multiply identity) ->
% (true) collapsed.
% Current number of equations to process: 352
% Current number of ordered equations: 0
% Current number of rules: 1289
% New rule produced :
% [1374] (eq)(identity,identity multiply (inverse(A) multiply A)) -> (true)
% Current number of equations to process: 351
% Current number of ordered equations: 0
% Current number of rules: 1290
% New rule produced :
% [1375]
% inverse(identity) <->
% ((inverse(A) double_divide B) double_divide B) multiply A
% Current number of equations to process: 349
% Current number of ordered equations: 3
% Current number of rules: 1291
% New rule produced :
% [1376]
% inverse(identity) <->
% ((inverse(A) multiply A) double_divide B) double_divide B
% Current number of equations to process: 349
% Current number of ordered equations: 2
% Current number of rules: 1292
% New rule produced :
% [1377]
% ((inverse(A) double_divide B) double_divide B) multiply A <->
% inverse(identity)
% Current number of equations to process: 349
% Current number of ordered equations: 1
% Current number of rules: 1293
% New rule produced :
% [1378]
% ((inverse(A) multiply A) double_divide B) double_divide B <->
% inverse(identity)
% Current number of equations to process: 349
% Current number of ordered equations: 0
% Current number of rules: 1294
% New rule produced :
% [1379]
% inverse(identity) <->
% (inverse(inverse(A) double_divide B) double_divide A) multiply B
% Current number of equations to process: 348
% Current number of ordered equations: 1
% Current number of rules: 1295
% New rule produced :
% [1380]
% (inverse(inverse(A) double_divide B) double_divide A) multiply B <->
% inverse(identity)
% Current number of equations to process: 348
% Current number of ordered equations: 0
% Current number of rules: 1296
% New rule produced :
% [1381] inverse(identity) <-> inverse(A) multiply (identity multiply A)
% Current number of equations to process: 381
% Current number of ordered equations: 1
% Current number of rules: 1297
% New rule produced :
% [1382] inverse(A) multiply (identity multiply A) <-> inverse(identity)
% Current number of equations to process: 381
% Current number of ordered equations: 0
% Current number of rules: 1298
% New rule produced :
% [1383] inverse(identity) <-> (inverse(identity) double_divide A) multiply A
% Current number of equations to process: 380
% Current number of ordered equations: 1
% Current number of rules: 1299
% New rule produced :
% [1384] (inverse(identity) double_divide A) multiply A <-> inverse(identity)
% Current number of equations to process: 380
% Current number of ordered equations: 0
% Current number of rules: 1300
% New rule produced :
% [1385] A <-> inverse(inverse(inverse(inverse(inverse(inverse(A))))))
% Rule
% [276]
% identity <-> inverse(inverse(inverse(inverse(inverse(inverse(identity))))))
% collapsed.
% Current number of equations to process: 379
% Current number of ordered equations: 1
% Current number of rules: 1300
% New rule produced :
% [1386] inverse(inverse(inverse(inverse(inverse(inverse(A)))))) <-> A
% Rule
% [277]
% inverse(inverse(inverse(inverse(inverse(inverse(identity)))))) <-> identity
% collapsed.
% Current number of equations to process: 379
% Current number of ordered equations: 0
% Current number of rules: 1300
% New rule produced :
% [1387] A <-> inverse(inverse(inverse(inverse(identity multiply A))))
% Rule
% [851]
% identity <-> inverse(inverse(inverse(inverse(identity multiply identity))))
% collapsed.
% Current number of equations to process: 378
% Current number of ordered equations: 1
% Current number of rules: 1300
% New rule produced :
% [1388] inverse(inverse(inverse(inverse(identity multiply A)))) <-> A
% Rule
% [852]
% inverse(inverse(inverse(inverse(identity multiply identity)))) <-> identity
% collapsed.
% Current number of equations to process: 378
% Current number of ordered equations: 0
% Current number of rules: 1300
% New rule produced :
% [1389]
% inverse(inverse(inverse(inverse(inverse(A))))) <-> identity double_divide A
% Rule
% [955]
% inverse(inverse(inverse(inverse(inverse(identity))))) <->
% identity double_divide identity collapsed.
% Current number of equations to process: 377
% Current number of ordered equations: 1
% Current number of rules: 1300
% New rule produced :
% [1390]
% identity double_divide A <-> inverse(inverse(inverse(inverse(inverse(A)))))
% Rule
% [956]
% identity double_divide identity <->
% inverse(inverse(inverse(inverse(inverse(identity))))) collapsed.
% Current number of equations to process: 377
% Current number of ordered equations: 0
% Current number of rules: 1300
% New rule produced :
% [1391]
% inverse(inverse(inverse(inverse(A)))) <-> (A double_divide B) double_divide B
% Current number of equations to process: 376
% Current number of ordered equations: 1
% Current number of rules: 1301
% New rule produced :
% [1392]
% (A double_divide B) double_divide B <-> inverse(inverse(inverse(inverse(A))))
% Current number of equations to process: 376
% Current number of ordered equations: 0
% Current number of rules: 1302
% New rule produced :
% [1393]
% inverse(identity) <-> (inverse(identity) multiply inverse(A)) multiply A
% Current number of equations to process: 375
% Current number of ordered equations: 1
% Current number of rules: 1303
% New rule produced :
% [1394]
% (inverse(identity) multiply inverse(A)) multiply A <-> inverse(identity)
% Current number of equations to process: 375
% Current number of ordered equations: 0
% Current number of rules: 1304
% New rule produced :
% [1395]
% identity <->
% inverse(identity multiply inverse(inverse(inverse(inverse(identity)))))
% Current number of equations to process: 379
% Current number of ordered equations: 3
% Current number of rules: 1305
% New rule produced :
% [1396]
% identity <->
% inverse(inverse(inverse(inverse(inverse(identity multiply identity)))))
% Current number of equations to process: 379
% Current number of ordered equations: 2
% Current number of rules: 1306
% New rule produced :
% [1397]
% inverse(identity multiply inverse(inverse(inverse(inverse(identity))))) <->
% identity
% Current number of equations to process: 379
% Current number of ordered equations: 1
% Current number of rules: 1307
% New rule produced :
% [1398]
% inverse(inverse(inverse(inverse(inverse(identity multiply identity))))) <->
% identity
% Current number of equations to process: 379
% Current number of ordered equations: 0
% Current number of rules: 1308
% New rule produced :
% [1399]
% A <-> inverse(inverse(inverse(inverse(inverse(identity double_divide A)))))
% Current number of equations to process: 377
% Current number of ordered equations: 3
% Current number of rules: 1309
% New rule produced :
% [1400]
% A <-> inverse(inverse(inverse(inverse(inverse(identity)))) double_divide A)
% Current number of equations to process: 377
% Current number of ordered equations: 2
% Current number of rules: 1310
% New rule produced :
% [1401]
% inverse(inverse(inverse(inverse(inverse(identity double_divide A))))) <-> A
% Current number of equations to process: 377
% Current number of ordered equations: 1
% Current number of rules: 1311
% New rule produced :
% [1402]
% inverse(inverse(inverse(inverse(inverse(identity)))) double_divide A) <-> A
% Current number of equations to process: 377
% Current number of ordered equations: 0
% Current number of rules: 1312
% New rule produced :
% [1403]
% identity <->
% inverse(inverse(inverse(inverse(inverse(inverse(inverse(identity)))))))
% Current number of equations to process: 376
% Current number of ordered equations: 1
% Current number of rules: 1313
% New rule produced :
% [1404]
% inverse(inverse(inverse(inverse(inverse(inverse(inverse(identity))))))) <->
% identity
% Current number of equations to process: 376
% Current number of ordered equations: 0
% Current number of rules: 1314
% New rule produced :
% [1405]
% A <-> inverse(inverse(inverse(inverse(identity double_divide inverse(A)))))
% Current number of equations to process: 373
% Current number of ordered equations: 5
% Current number of rules: 1315
% New rule produced :
% [1406]
% A <-> identity double_divide inverse(inverse(inverse(inverse(inverse(A)))))
% Current number of equations to process: 373
% Current number of ordered equations: 4
% Current number of rules: 1316
% New rule produced :
% [1407]
% A <-> inverse(inverse(inverse(inverse(identity)))) double_divide inverse(A)
% Current number of equations to process: 373
% Current number of ordered equations: 3
% Current number of rules: 1317
% New rule produced :
% [1408]
% inverse(inverse(inverse(inverse(identity double_divide inverse(A))))) <-> A
% Current number of equations to process: 373
% Current number of ordered equations: 2
% Current number of rules: 1318
% New rule produced :
% [1409]
% identity double_divide inverse(inverse(inverse(inverse(inverse(A))))) <-> A
% Current number of equations to process: 373
% Current number of ordered equations: 1
% Current number of rules: 1319
% New rule produced :
% [1410]
% inverse(inverse(inverse(inverse(identity)))) double_divide inverse(A) <-> A
% Current number of equations to process: 373
% Current number of ordered equations: 0
% Current number of rules: 1320
% New rule produced :
% [1411]
% identity <-> inverse(inverse(inverse(inverse(inverse(A) double_divide A))))
% Current number of equations to process: 371
% Current number of ordered equations: 3
% Current number of rules: 1321
% New rule produced :
% [1412]
% identity <-> inverse(inverse(inverse(inverse(inverse(A))))) double_divide A
% Current number of equations to process: 371
% Current number of ordered equations: 2
% Current number of rules: 1322
% New rule produced :
% [1413]
% inverse(inverse(inverse(inverse(inverse(A) double_divide A)))) <-> identity
% Current number of equations to process: 371
% Current number of ordered equations: 1
% Current number of rules: 1323
% New rule produced :
% [1414]
% inverse(inverse(inverse(inverse(inverse(A))))) double_divide A <-> identity
% Current number of equations to process: 371
% Current number of ordered equations: 0
% Current number of rules: 1324
% New rule produced :
% [1415]
% inverse(A double_divide B) <->
% inverse(inverse(inverse(inverse(A multiply B))))
% Current number of equations to process: 370
% Current number of ordered equations: 1
% Current number of rules: 1325
% New rule produced :
% [1416]
% inverse(inverse(inverse(inverse(A multiply B)))) <->
% inverse(A double_divide B)
% Current number of equations to process: 370
% Current number of ordered equations: 0
% Current number of rules: 1326
% New rule produced :
% [1417]
% inverse(inverse(inverse(inverse(inverse(A double_divide B))))) <->
% A multiply B
% Current number of equations to process: 369
% Current number of ordered equations: 1
% Current number of rules: 1327
% New rule produced :
% [1418]
% A multiply B <->
% inverse(inverse(inverse(inverse(inverse(A double_divide B)))))
% Current number of equations to process: 369
% Current number of ordered equations: 0
% Current number of rules: 1328
% New rule produced :
% [1419]
% A <-> inverse(inverse(inverse(inverse((A double_divide B) double_divide B))))
% Current number of equations to process: 367
% Current number of ordered equations: 3
% Current number of rules: 1329
% New rule produced :
% [1420]
% A <-> inverse(inverse(inverse(inverse(A double_divide B)))) double_divide B
% Current number of equations to process: 367
% Current number of ordered equations: 2
% Current number of rules: 1330
% New rule produced :
% [1421]
% inverse(inverse(inverse(inverse((A double_divide B) double_divide B)))) <-> A
% Current number of equations to process: 367
% Current number of ordered equations: 1
% Current number of rules: 1331
% New rule produced :
% [1422]
% inverse(inverse(inverse(inverse(A double_divide B)))) double_divide B <-> A
% Current number of equations to process: 367
% Current number of ordered equations: 0
% Current number of rules: 1332
% New rule produced :
% [1423]
% inverse(inverse(inverse(inverse(A multiply B)))) <->
% identity double_divide (A double_divide B)
% Current number of equations to process: 366
% Current number of ordered equations: 1
% Current number of rules: 1333
% New rule produced :
% [1424]
% identity double_divide (A double_divide B) <->
% inverse(inverse(inverse(inverse(A multiply B))))
% Current number of equations to process: 366
% Current number of ordered equations: 0
% Current number of rules: 1334
% New rule produced :
% [1425]
% inverse(inverse(inverse(inverse(inverse(B))))) <->
% inverse(inverse(A) double_divide B) double_divide A
% Current number of equations to process: 365
% Current number of ordered equations: 1
% Current number of rules: 1335
% New rule produced :
% [1426]
% inverse(inverse(A) double_divide B) double_divide A <->
% inverse(inverse(inverse(inverse(inverse(B)))))
% Current number of equations to process: 365
% Current number of ordered equations: 0
% Current number of rules: 1336
% New rule produced :
% [1427] inverse(inverse(inverse(inverse(A)))) <-> inverse(identity) multiply A
% Current number of equations to process: 424
% Current number of ordered equations: 1
% Current number of rules: 1337
% New rule produced :
% [1428] inverse(identity) multiply A <-> inverse(inverse(inverse(inverse(A))))
% Current number of equations to process: 424
% Current number of ordered equations: 0
% Current number of rules: 1338
% New rule produced :
% [1429]
% inverse(inverse(inverse(inverse(inverse(identity))))) <->
% identity multiply identity
% Current number of equations to process: 423
% Current number of ordered equations: 1
% Current number of rules: 1339
% New rule produced :
% [1430]
% identity multiply identity <->
% inverse(inverse(inverse(inverse(inverse(identity)))))
% Current number of equations to process: 423
% Current number of ordered equations: 0
% Current number of rules: 1340
% New rule produced :
% [1431] A <-> inverse(identity multiply inverse(inverse(inverse(A))))
% Rule
% [869]
% identity <-> inverse(identity multiply inverse(inverse(inverse(identity))))
% collapsed.
% Current number of equations to process: 419
% Current number of ordered equations: 7
% Current number of rules: 1340
% New rule produced :
% [1432] A <-> inverse(inverse(identity multiply inverse(inverse(A))))
% Current number of equations to process: 419
% Current number of ordered equations: 6
% Current number of rules: 1341
% New rule produced :
% [1433] A <-> inverse(inverse(inverse(identity multiply inverse(A))))
% Rule
% [1052]
% identity <-> inverse(inverse(inverse(identity multiply inverse(identity))))
% collapsed.
% Current number of equations to process: 419
% Current number of ordered equations: 5
% Current number of rules: 1341
% New rule produced :
% [1434] A <-> identity multiply inverse(inverse(inverse(inverse(A))))
% Current number of equations to process: 419
% Current number of ordered equations: 4
% Current number of rules: 1342
% New rule produced :
% [1435] inverse(identity multiply inverse(inverse(inverse(A)))) <-> A
% Rule
% [870]
% inverse(identity multiply inverse(inverse(inverse(identity)))) <-> identity
% collapsed.
% Current number of equations to process: 419
% Current number of ordered equations: 3
% Current number of rules: 1342
% New rule produced :
% [1436] inverse(inverse(identity multiply inverse(inverse(A)))) <-> A
% Current number of equations to process: 419
% Current number of ordered equations: 2
% Current number of rules: 1343
% New rule produced :
% [1437] inverse(inverse(inverse(identity multiply inverse(A)))) <-> A
% Rule
% [1056]
% inverse(inverse(inverse(identity multiply inverse(identity)))) <-> identity
% collapsed.
% Current number of equations to process: 419
% Current number of ordered equations: 1
% Current number of rules: 1343
% New rule produced :
% [1438] identity multiply inverse(inverse(inverse(inverse(A)))) <-> A
% Current number of equations to process: 419
% Current number of ordered equations: 0
% Current number of rules: 1344
% New rule produced :
% [1439] (eq)(A,identity multiply inverse(inverse(A))) -> (true)
% Rule
% [836]
% (eq)(inverse(identity),identity multiply inverse(inverse(inverse(identity))))
% -> (true) collapsed.
% Rule
% [1164] (eq)(identity,identity multiply inverse(inverse(identity))) -> (true)
% collapsed.
% Current number of equations to process: 418
% Current number of ordered equations: 0
% Current number of rules: 1343
% New rule produced :
% [1440] inverse(inverse(inverse(A multiply B))) <-> A double_divide B
% Rule
% [978]
% inverse(inverse(inverse(identity multiply identity))) <->
% identity double_divide identity collapsed.
% Rule
% [1416]
% inverse(inverse(inverse(inverse(A multiply B)))) <->
% inverse(A double_divide B) collapsed.
% Current number of equations to process: 417
% Current number of ordered equations: 1
% Current number of rules: 1342
% New rule produced :
% [1441] A double_divide B <-> inverse(inverse(inverse(A multiply B)))
% Rule
% [979]
% identity double_divide identity <->
% inverse(inverse(inverse(identity multiply identity))) collapsed.
% Rule
% [1415]
% inverse(A double_divide B) <->
% inverse(inverse(inverse(inverse(A multiply B)))) collapsed.
% Current number of equations to process: 417
% Current number of ordered equations: 0
% Current number of rules: 1341
% New rule produced :
% [1442]
% inverse(identity) <->
% identity multiply inverse(inverse(inverse(inverse(identity))))
% Current number of equations to process: 416
% Current number of ordered equations: 1
% Current number of rules: 1342
% New rule produced :
% [1443]
% identity multiply inverse(inverse(inverse(inverse(identity)))) <->
% inverse(identity)
% Current number of equations to process: 416
% Current number of ordered equations: 0
% Current number of rules: 1343
% New rule produced :
% [1444]
% inverse(inverse(inverse(inverse(inverse(A))))) <->
% inverse(identity) double_divide A
% Current number of equations to process: 415
% Current number of ordered equations: 1
% Current number of rules: 1344
% New rule produced :
% [1445]
% inverse(identity) double_divide A <->
% inverse(inverse(inverse(inverse(inverse(A)))))
% Current number of equations to process: 415
% Current number of ordered equations: 0
% Current number of rules: 1345
% New rule produced :
% [1446]
% inverse(inverse(inverse(inverse(inverse(identity))))) <->
% inverse(A) double_divide A
% Current number of equations to process: 414
% Current number of ordered equations: 1
% Current number of rules: 1346
% New rule produced :
% [1447]
% inverse(A) double_divide A <->
% inverse(inverse(inverse(inverse(inverse(identity)))))
% Current number of equations to process: 414
% Current number of ordered equations: 0
% Current number of rules: 1347
% New rule produced :
% [1448]
% inverse(inverse(inverse(inverse(inverse(identity))))) <->
% inverse(A) multiply A
% Current number of equations to process: 413
% Current number of ordered equations: 1
% Current number of rules: 1348
% New rule produced :
% [1449]
% inverse(A) multiply A <->
% inverse(inverse(inverse(inverse(inverse(identity)))))
% Current number of equations to process: 413
% Current number of ordered equations: 0
% Current number of rules: 1349
% New rule produced :
% [1450]
% inverse(inverse(inverse(inverse(inverse(inverse(A)))))) <->
% identity multiply A
% Current number of equations to process: 418
% Current number of ordered equations: 1
% Current number of rules: 1350
% New rule produced :
% [1451]
% identity multiply A <->
% inverse(inverse(inverse(inverse(inverse(inverse(A))))))
% Current number of equations to process: 418
% Current number of ordered equations: 0
% Current number of rules: 1351
% New rule produced :
% [1452]
% inverse(inverse(A)) <->
% inverse(inverse(inverse(inverse(identity)))) multiply A
% Current number of equations to process: 417
% Current number of ordered equations: 1
% Current number of rules: 1352
% New rule produced :
% [1453]
% inverse(inverse(inverse(inverse(identity)))) multiply A <->
% inverse(inverse(A))
% Current number of equations to process: 417
% Current number of ordered equations: 0
% Current number of rules: 1353
% New rule produced :
% [1454]
% inverse(inverse(inverse(inverse(inverse(inverse(identity)))))) <->
% identity double_divide identity
% Current number of equations to process: 416
% Current number of ordered equations: 1
% Current number of rules: 1354
% New rule produced :
% [1455]
% identity double_divide identity <->
% inverse(inverse(inverse(inverse(inverse(inverse(identity))))))
% Current number of equations to process: 416
% Current number of ordered equations: 0
% Current number of rules: 1355
% New rule produced :
% [1456]
% inverse(inverse(identity)) <->
% identity double_divide inverse(inverse(inverse(inverse(identity))))
% Current number of equations to process: 415
% Current number of ordered equations: 1
% Current number of rules: 1356
% New rule produced :
% [1457]
% identity double_divide inverse(inverse(inverse(inverse(identity)))) <->
% inverse(inverse(identity))
% Current number of equations to process: 415
% Current number of ordered equations: 0
% Current number of rules: 1357
% New rule produced :
% [1458]
% inverse(inverse(inverse(inverse(identity multiply identity)))) <->
% identity double_divide identity
% Current number of equations to process: 413
% Current number of ordered equations: 3
% Current number of rules: 1358
% New rule produced :
% [1459]
% identity multiply inverse(inverse(inverse(inverse(identity)))) <->
% identity double_divide identity
% Current number of equations to process: 413
% Current number of ordered equations: 2
% Current number of rules: 1359
% New rule produced :
% [1460]
% identity double_divide identity <->
% inverse(inverse(inverse(inverse(identity multiply identity))))
% Current number of equations to process: 413
% Current number of ordered equations: 1
% Current number of rules: 1360
% New rule produced :
% [1461]
% identity double_divide identity <->
% identity multiply inverse(inverse(inverse(inverse(identity))))
% Current number of equations to process: 413
% Current number of ordered equations: 0
% Current number of rules: 1361
% New rule produced :
% [1462]
% inverse(inverse(inverse(inverse(identity double_divide identity)))) <->
% identity multiply identity
% Current number of equations to process: 411
% Current number of ordered equations: 3
% Current number of rules: 1362
% New rule produced :
% [1463]
% identity multiply identity <->
% inverse(inverse(inverse(inverse(identity double_divide identity))))
% Current number of equations to process: 411
% Current number of ordered equations: 2
% Current number of rules: 1363
% New rule produced :
% [1464]
% identity multiply identity <->
% identity double_divide inverse(inverse(inverse(inverse(identity))))
% Current number of equations to process: 411
% Current number of ordered equations: 1
% Current number of rules: 1364
% New rule produced :
% [1465]
% identity double_divide inverse(inverse(inverse(inverse(identity)))) <->
% identity multiply identity
% Current number of equations to process: 411
% Current number of ordered equations: 0
% Current number of rules: 1365
% New rule produced :
% [1466] A <-> inverse(inverse(inverse(inverse(inverse(identity) multiply A))))
% Current number of equations to process: 409
% Current number of ordered equations: 3
% Current number of rules: 1366
% New rule produced :
% [1467] A <-> inverse(inverse(inverse(inverse(inverse(identity))))) multiply A
% Current number of equations to process: 409
% Current number of ordered equations: 2
% Current number of rules: 1367
% New rule produced :
% [1468] inverse(inverse(inverse(inverse(inverse(identity) multiply A)))) <-> A
% Current number of equations to process: 409
% Current number of ordered equations: 1
% Current number of rules: 1368
% New rule produced :
% [1469] inverse(inverse(inverse(inverse(inverse(identity))))) multiply A <-> A
% Current number of equations to process: 409
% Current number of ordered equations: 0
% Current number of rules: 1369
% New rule produced :
% [1470]
% A <-> inverse(identity double_divide inverse(inverse(inverse(inverse(A)))))
% Current number of equations to process: 406
% Current number of ordered equations: 5
% Current number of rules: 1370
% New rule produced :
% [1471]
% A <-> inverse(inverse(identity double_divide inverse(inverse(inverse(A)))))
% Current number of equations to process: 406
% Current number of ordered equations: 4
% Current number of rules: 1371
% New rule produced :
% [1472]
% A <-> inverse(inverse(inverse(identity double_divide inverse(inverse(A)))))
% Current number of equations to process: 406
% Current number of ordered equations: 3
% Current number of rules: 1372
% New rule produced :
% [1473]
% inverse(identity double_divide inverse(inverse(inverse(inverse(A))))) <-> A
% Current number of equations to process: 406
% Current number of ordered equations: 2
% Current number of rules: 1373
% New rule produced :
% [1474]
% inverse(inverse(identity double_divide inverse(inverse(inverse(A))))) <-> A
% Current number of equations to process: 406
% Current number of ordered equations: 1
% Current number of rules: 1374
% New rule produced :
% [1475]
% inverse(inverse(inverse(identity double_divide inverse(inverse(A))))) <-> A
% Current number of equations to process: 406
% Current number of ordered equations: 0
% Current number of rules: 1375
% New rule produced :
% [1476]
% inverse(A) <->
% inverse(inverse(inverse(inverse(inverse(identity) double_divide A))))
% Current number of equations to process: 404
% Current number of ordered equations: 3
% Current number of rules: 1376
% New rule produced :
% [1477]
% inverse(A) <->
% inverse(inverse(inverse(inverse(inverse(identity))))) double_divide A
% Current number of equations to process: 404
% Current number of ordered equations: 2
% Current number of rules: 1377
% New rule produced :
% [1478]
% inverse(inverse(inverse(inverse(inverse(identity) double_divide A)))) <->
% inverse(A)
% Current number of equations to process: 404
% Current number of ordered equations: 1
% Current number of rules: 1378
% New rule produced :
% [1479]
% inverse(inverse(inverse(inverse(inverse(identity))))) double_divide A <->
% inverse(A)
% Current number of equations to process: 404
% Current number of ordered equations: 0
% Current number of rules: 1379
% New rule produced :
% [1480]
% inverse(identity) <->
% inverse(inverse(inverse(inverse(inverse(A))))) double_divide A
% Current number of equations to process: 403
% Current number of ordered equations: 1
% Current number of rules: 1380
% New rule produced :
% [1481]
% inverse(inverse(inverse(inverse(inverse(A))))) double_divide A <->
% inverse(identity)
% Current number of equations to process: 403
% Current number of ordered equations: 0
% Current number of rules: 1381
% New rule produced :
% [1482]
% inverse(identity) <->
% inverse(inverse(inverse(inverse(inverse(A) multiply A))))
% Current number of equations to process: 401
% Current number of ordered equations: 3
% Current number of rules: 1382
% New rule produced :
% [1483]
% inverse(identity) <->
% inverse(inverse(inverse(inverse(inverse(A))))) multiply A
% Current number of equations to process: 401
% Current number of ordered equations: 2
% Current number of rules: 1383
% New rule produced :
% [1484]
% inverse(inverse(inverse(inverse(inverse(A) multiply A)))) <->
% inverse(identity)
% Current number of equations to process: 401
% Current number of ordered equations: 1
% Current number of rules: 1384
% New rule produced :
% [1485]
% inverse(inverse(inverse(inverse(inverse(A))))) multiply A <->
% inverse(identity)
% Current number of equations to process: 401
% Current number of ordered equations: 0
% Current number of rules: 1385
% New rule produced :
% [1486]
% (eq)(A,inverse(inverse(inverse(inverse(identity multiply A))))) -> (true)
% Current number of equations to process: 399
% Current number of ordered equations: 1
% Current number of rules: 1386
% New rule produced :
% [1487]
% (eq)(A,inverse(inverse(inverse(inverse(identity)))) multiply A) -> (true)
% Rule
% [1184]
% (eq)(identity,identity multiply inverse(inverse(inverse(inverse(identity)))))
% -> (true) collapsed.
% Current number of equations to process: 399
% Current number of ordered equations: 0
% Current number of rules: 1386
% New rule produced :
% [1488]
% (eq)(inverse(inverse(inverse(inverse(inverse(inverse(A)))))),A) -> (true)
% Current number of equations to process: 398
% Current number of ordered equations: 0
% Current number of rules: 1387
% New rule produced :
% [1489]
% A <-> inverse(inverse((inverse(inverse(A)) double_divide B) double_divide B))
% Current number of equations to process: 393
% Current number of ordered equations: 7
% Current number of rules: 1388
% New rule produced :
% [1490]
% A <-> inverse(inverse(inverse((inverse(A) double_divide B) double_divide B)))
% Current number of equations to process: 393
% Current number of ordered equations: 6
% Current number of rules: 1389
% New rule produced :
% [1491]
% A <-> inverse((inverse(inverse(inverse(A))) double_divide B) double_divide B)
% Current number of equations to process: 393
% Current number of ordered equations: 5
% Current number of rules: 1390
% New rule produced :
% [1492]
% A <-> (inverse(inverse(inverse(inverse(A)))) double_divide B) double_divide B
% Current number of equations to process: 393
% Current number of ordered equations: 4
% Current number of rules: 1391
% New rule produced :
% [1493]
% inverse(inverse((inverse(inverse(A)) double_divide B) double_divide B)) <-> A
% Current number of equations to process: 393
% Current number of ordered equations: 3
% Current number of rules: 1392
% New rule produced :
% [1494]
% inverse(inverse(inverse((inverse(A) double_divide B) double_divide B))) <-> A
% Current number of equations to process: 393
% Current number of ordered equations: 2
% Current number of rules: 1393
% New rule produced :
% [1495]
% inverse((inverse(inverse(inverse(A))) double_divide B) double_divide B) <-> A
% Current number of equations to process: 393
% Current number of ordered equations: 1
% Current number of rules: 1394
% New rule produced :
% [1496]
% (inverse(inverse(inverse(inverse(A)))) double_divide B) double_divide B <-> A
% Current number of equations to process: 393
% Current number of ordered equations: 0
% Current number of rules: 1395
% New rule produced :
% [1497]
% inverse(B) <->
% inverse(inverse(inverse(A))) double_divide inverse(A double_divide B)
% Current number of equations to process: 392
% Current number of ordered equations: 1
% Current number of rules: 1396
% New rule produced :
% [1498]
% inverse(inverse(inverse(A))) double_divide inverse(A double_divide B) <->
% inverse(B)
% Current number of equations to process: 392
% Current number of ordered equations: 0
% Current number of rules: 1397
% New rule produced :
% [1499] A <-> inverse(inverse(inverse(inverse(identity) double_divide A)))
% Rule
% [1476]
% inverse(A) <->
% inverse(inverse(inverse(inverse(inverse(identity) double_divide A))))
% collapsed.
% Current number of equations to process: 436
% Current number of ordered equations: 7
% Current number of rules: 1397
% New rule produced :
% [1500] A <-> inverse(inverse(inverse(identity) double_divide inverse(A)))
% Current number of equations to process: 436
% Current number of ordered equations: 6
% Current number of rules: 1398
% New rule produced :
% [1501] A <-> inverse(inverse(identity) double_divide inverse(inverse(A)))
% Current number of equations to process: 436
% Current number of ordered equations: 5
% Current number of rules: 1399
% New rule produced :
% [1502] A <-> inverse(identity) double_divide inverse(inverse(inverse(A)))
% Current number of equations to process: 436
% Current number of ordered equations: 4
% Current number of rules: 1400
% New rule produced :
% [1503] inverse(inverse(inverse(inverse(identity) double_divide A))) <-> A
% Rule
% [1478]
% inverse(inverse(inverse(inverse(inverse(identity) double_divide A)))) <->
% inverse(A) collapsed.
% Current number of equations to process: 436
% Current number of ordered equations: 3
% Current number of rules: 1400
% New rule produced :
% [1504] inverse(inverse(inverse(identity) double_divide inverse(A))) <-> A
% Current number of equations to process: 436
% Current number of ordered equations: 2
% Current number of rules: 1401
% New rule produced :
% [1505] inverse(inverse(identity) double_divide inverse(inverse(A))) <-> A
% Current number of equations to process: 436
% Current number of ordered equations: 1
% Current number of rules: 1402
% New rule produced :
% [1506] inverse(identity) double_divide inverse(inverse(inverse(A))) <-> A
% Current number of equations to process: 436
% Current number of ordered equations: 0
% Current number of rules: 1403
% New rule produced :
% [1507] identity <-> inverse(inverse(inverse(inverse(A) multiply A)))
% Rule
% [1482]
% inverse(identity) <->
% inverse(inverse(inverse(inverse(inverse(A) multiply A)))) collapsed.
% Current number of equations to process: 435
% Current number of ordered equations: 1
% Current number of rules: 1403
% New rule produced :
% [1508] inverse(inverse(inverse(inverse(A) multiply A))) <-> identity
% Rule
% [1484]
% inverse(inverse(inverse(inverse(inverse(A) multiply A)))) <->
% inverse(identity) collapsed.
% Current number of equations to process: 435
% Current number of ordered equations: 0
% Current number of rules: 1403
% New rule produced :
% [1509] A <-> inverse(identity multiply inverse(identity multiply A))
% Rule
% [893]
% identity <-> inverse(identity multiply inverse(identity multiply identity))
% collapsed.
% Current number of equations to process: 434
% Current number of ordered equations: 1
% Current number of rules: 1403
% New rule produced :
% [1510] inverse(identity multiply inverse(identity multiply A)) <-> A
% Rule
% [894]
% inverse(identity multiply inverse(identity multiply identity)) <-> identity
% collapsed.
% Current number of equations to process: 434
% Current number of ordered equations: 0
% Current number of rules: 1403
% New rule produced :
% [1511]
% inverse(identity multiply inverse(inverse(A))) <-> identity double_divide A
% Current number of equations to process: 433
% Current number of ordered equations: 1
% Current number of rules: 1404
% New rule produced :
% [1512]
% identity double_divide A <-> inverse(identity multiply inverse(inverse(A)))
% Current number of equations to process: 433
% Current number of ordered equations: 0
% Current number of rules: 1405
% New rule produced :
% [1513]
% inverse(identity multiply inverse(A)) <-> (A double_divide B) double_divide B
% Current number of equations to process: 432
% Current number of ordered equations: 1
% Current number of rules: 1406
% New rule produced :
% [1514]
% (A double_divide B) double_divide B <-> inverse(identity multiply inverse(A))
% Current number of equations to process: 432
% Current number of ordered equations: 0
% Current number of rules: 1407
% New rule produced :
% [1515] A <-> inverse(inverse(identity) multiply inverse(inverse(inverse(A))))
% Current number of equations to process: 435
% Current number of ordered equations: 7
% Current number of rules: 1408
% New rule produced :
% [1516] A <-> inverse(inverse(inverse(identity) multiply inverse(inverse(A))))
% Current number of equations to process: 435
% Current number of ordered equations: 6
% Current number of rules: 1409
% New rule produced :
% [1517] A <-> inverse(inverse(inverse(inverse(identity) multiply inverse(A))))
% Current number of equations to process: 435
% Current number of ordered equations: 5
% Current number of rules: 1410
% New rule produced :
% [1518] A <-> inverse(identity) multiply inverse(inverse(inverse(inverse(A))))
% Current number of equations to process: 435
% Current number of ordered equations: 4
% Current number of rules: 1411
% New rule produced :
% [1519] inverse(inverse(identity) multiply inverse(inverse(inverse(A)))) <-> A
% Current number of equations to process: 435
% Current number of ordered equations: 3
% Current number of rules: 1412
% New rule produced :
% [1520] inverse(inverse(inverse(identity) multiply inverse(inverse(A)))) <-> A
% Current number of equations to process: 435
% Current number of ordered equations: 2
% Current number of rules: 1413
% New rule produced :
% [1521] inverse(inverse(inverse(inverse(identity) multiply inverse(A)))) <-> A
% Current number of equations to process: 435
% Current number of ordered equations: 1
% Current number of rules: 1414
% New rule produced :
% [1522] inverse(identity) multiply inverse(inverse(inverse(inverse(A)))) <-> A
% Current number of equations to process: 435
% Current number of ordered equations: 0
% Current number of rules: 1415
% New rule produced :
% [1523]
% identity <->
% inverse(identity multiply inverse(identity multiply inverse(identity)))
% Current number of equations to process: 432
% Current number of ordered equations: 5
% Current number of rules: 1416
% New rule produced :
% [1524]
% identity <->
% inverse(identity multiply inverse(inverse(identity multiply identity)))
% Current number of equations to process: 432
% Current number of ordered equations: 4
% Current number of rules: 1417
% New rule produced :
% [1525]
% identity <->
% inverse(inverse(identity multiply inverse(identity multiply identity)))
% Current number of equations to process: 432
% Current number of ordered equations: 3
% Current number of rules: 1418
% New rule produced :
% [1526]
% inverse(identity multiply inverse(identity multiply inverse(identity))) <->
% identity
% Current number of equations to process: 432
% Current number of ordered equations: 2
% Current number of rules: 1419
% New rule produced :
% [1527]
% inverse(identity multiply inverse(inverse(identity multiply identity))) <->
% identity
% Current number of equations to process: 432
% Current number of ordered equations: 1
% Current number of rules: 1420
% New rule produced :
% [1528]
% inverse(inverse(identity multiply inverse(identity multiply identity))) <->
% identity
% Current number of equations to process: 432
% Current number of ordered equations: 0
% Current number of rules: 1421
% New rule produced :
% [1529]
% A <-> inverse(identity multiply inverse(inverse(identity double_divide A)))
% Current number of equations to process: 429
% Current number of ordered equations: 5
% Current number of rules: 1422
% New rule produced :
% [1530]
% A <-> inverse(inverse(identity multiply inverse(identity double_divide A)))
% Current number of equations to process: 429
% Current number of ordered equations: 4
% Current number of rules: 1423
% New rule produced :
% [1531]
% A <-> inverse(inverse(identity multiply inverse(identity)) double_divide A)
% Current number of equations to process: 429
% Current number of ordered equations: 3
% Current number of rules: 1424
% New rule produced :
% [1532]
% inverse(identity multiply inverse(inverse(identity double_divide A))) <-> A
% Current number of equations to process: 429
% Current number of ordered equations: 2
% Current number of rules: 1425
% New rule produced :
% [1533]
% inverse(inverse(identity multiply inverse(identity double_divide A))) <-> A
% Current number of equations to process: 429
% Current number of ordered equations: 1
% Current number of rules: 1426
% New rule produced :
% [1534]
% inverse(inverse(identity multiply inverse(identity)) double_divide A) <-> A
% Current number of equations to process: 429
% Current number of ordered equations: 0
% Current number of rules: 1427
% New rule produced :
% [1535]
% identity <->
% inverse(inverse(identity multiply inverse(inverse(inverse(identity)))))
% Current number of equations to process: 427
% Current number of ordered equations: 3
% Current number of rules: 1428
% New rule produced :
% [1536]
% identity <->
% inverse(inverse(inverse(identity multiply inverse(inverse(identity)))))
% Current number of equations to process: 427
% Current number of ordered equations: 2
% Current number of rules: 1429
% New rule produced :
% [1537]
% inverse(inverse(identity multiply inverse(inverse(inverse(identity))))) <->
% identity
% Current number of equations to process: 427
% Current number of ordered equations: 1
% Current number of rules: 1430
% New rule produced :
% [1538]
% inverse(inverse(inverse(identity multiply inverse(inverse(identity))))) <->
% identity
% Current number of equations to process: 427
% Current number of ordered equations: 0
% Current number of rules: 1431
% New rule produced :
% [1539]
% A <-> inverse(identity multiply inverse(identity double_divide inverse(A)))
% Current number of equations to process: 424
% Current number of ordered equations: 5
% Current number of rules: 1432
% New rule produced :
% [1540]
% A <-> identity double_divide inverse(identity multiply inverse(inverse(A)))
% Current number of equations to process: 424
% Current number of ordered equations: 4
% Current number of rules: 1433
% New rule produced :
% [1541]
% A <-> inverse(identity multiply inverse(identity)) double_divide inverse(A)
% Current number of equations to process: 424
% Current number of ordered equations: 3
% Current number of rules: 1434
% New rule produced :
% [1542]
% inverse(identity multiply inverse(identity double_divide inverse(A))) <-> A
% Current number of equations to process: 424
% Current number of ordered equations: 2
% Current number of rules: 1435
% New rule produced :
% [1543]
% identity double_divide inverse(identity multiply inverse(inverse(A))) <-> A
% Current number of equations to process: 424
% Current number of ordered equations: 1
% Current number of rules: 1436
% New rule produced :
% [1544]
% inverse(identity multiply inverse(identity)) double_divide inverse(A) <-> A
% Current number of equations to process: 424
% Current number of ordered equations: 0
% Current number of rules: 1437
% New rule produced :
% [1545]
% identity <-> inverse(identity multiply inverse(inverse(A) double_divide A))
% Current number of equations to process: 422
% Current number of ordered equations: 3
% Current number of rules: 1438
% New rule produced :
% [1546]
% identity <-> inverse(identity multiply inverse(inverse(A))) double_divide A
% Current number of equations to process: 422
% Current number of ordered equations: 2
% Current number of rules: 1439
% New rule produced :
% [1547]
% inverse(identity multiply inverse(inverse(A) double_divide A)) <-> identity
% Current number of equations to process: 422
% Current number of ordered equations: 1
% Current number of rules: 1440
% New rule produced :
% [1548]
% inverse(identity multiply inverse(inverse(A))) double_divide A <-> identity
% Current number of equations to process: 422
% Current number of ordered equations: 0
% Current number of rules: 1441
% New rule produced :
% [1549]
% inverse(A double_divide B) <->
% inverse(identity multiply inverse(A multiply B))
% Current number of equations to process: 421
% Current number of ordered equations: 1
% Current number of rules: 1442
% New rule produced :
% [1550]
% inverse(identity multiply inverse(A multiply B)) <->
% inverse(A double_divide B)
% Current number of equations to process: 421
% Current number of ordered equations: 0
% Current number of rules: 1443
% New rule produced :
% [1551]
% A <->
% inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(A))))))))
% Current number of equations to process: 420
% Current number of ordered equations: 1
% Current number of rules: 1444
% New rule produced :
% [1552]
% inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(A)))))))) <->
% A
% Current number of equations to process: 420
% Current number of ordered equations: 0
% Current number of rules: 1445
% New rule produced :
% [1553]
% inverse(identity multiply inverse(inverse(A double_divide B))) <->
% A multiply B
% Current number of equations to process: 418
% Current number of ordered equations: 3
% Current number of rules: 1446
% New rule produced :
% [1554]
% inverse(inverse(identity multiply inverse(A double_divide B))) <->
% A multiply B
% Current number of equations to process: 418
% Current number of ordered equations: 2
% Current number of rules: 1447
% New rule produced :
% [1555]
% A multiply B <->
% inverse(identity multiply inverse(inverse(A double_divide B)))
% Current number of equations to process: 418
% Current number of ordered equations: 1
% Current number of rules: 1448
% New rule produced :
% [1556]
% A multiply B <->
% inverse(inverse(identity multiply inverse(A double_divide B)))
% Current number of equations to process: 418
% Current number of ordered equations: 0
% Current number of rules: 1449
% New rule produced :
% [1557]
% A <-> inverse(identity multiply inverse((A double_divide B) double_divide B))
% Current number of equations to process: 416
% Current number of ordered equations: 3
% Current number of rules: 1450
% New rule produced :
% [1558]
% A <-> inverse(identity multiply inverse(A double_divide B)) double_divide B
% Current number of equations to process: 416
% Current number of ordered equations: 2
% Current number of rules: 1451
% New rule produced :
% [1559]
% inverse(identity multiply inverse((A double_divide B) double_divide B)) <-> A
% Current number of equations to process: 416
% Current number of ordered equations: 1
% Current number of rules: 1452
% New rule produced :
% [1560]
% inverse(identity multiply inverse(A double_divide B)) double_divide B <-> A
% Current number of equations to process: 416
% Current number of ordered equations: 0
% Current number of rules: 1453
% New rule produced :
% [1561]
% inverse(identity multiply inverse(A multiply B)) <->
% identity double_divide (A double_divide B)
% Current number of equations to process: 415
% Current number of ordered equations: 1
% Current number of rules: 1454
% New rule produced :
% [1562]
% identity double_divide (A double_divide B) <->
% inverse(identity multiply inverse(A multiply B))
% Current number of equations to process: 415
% Current number of ordered equations: 0
% Current number of rules: 1455
% New rule produced :
% [1563]
% inverse(identity multiply inverse(inverse(B))) <->
% inverse(inverse(A) double_divide B) double_divide A
% Current number of equations to process: 414
% Current number of ordered equations: 1
% Current number of rules: 1456
% New rule produced :
% [1564]
% inverse(inverse(A) double_divide B) double_divide A <->
% inverse(identity multiply inverse(inverse(B)))
% Current number of equations to process: 414
% Current number of ordered equations: 0
% Current number of rules: 1457
% New rule produced :
% [1565] inverse(identity multiply inverse(A)) <-> inverse(identity) multiply A
% Current number of equations to process: 506
% Current number of ordered equations: 1
% Current number of rules: 1458
% New rule produced :
% [1566] inverse(identity) multiply A <-> inverse(identity multiply inverse(A))
% Current number of equations to process: 506
% Current number of ordered equations: 0
% Current number of rules: 1459
% New rule produced :
% [1567]
% inverse(identity multiply identity) <->
% identity multiply inverse(inverse(identity))
% Current number of equations to process: 505
% Current number of ordered equations: 1
% Current number of rules: 1460
% New rule produced :
% [1568]
% identity multiply inverse(inverse(identity)) <->
% inverse(identity multiply identity)
% Current number of equations to process: 505
% Current number of ordered equations: 0
% Current number of rules: 1461
% New rule produced :
% [1569]
% inverse(identity double_divide A) <-> identity multiply inverse(inverse(A))
% Current number of equations to process: 504
% Current number of ordered equations: 1
% Current number of rules: 1462
% New rule produced :
% [1570]
% identity multiply inverse(inverse(A)) <-> inverse(identity double_divide A)
% Current number of equations to process: 504
% Current number of ordered equations: 0
% Current number of rules: 1463
% New rule produced :
% [1571]
% inverse(inverse(inverse(identity))) <->
% identity multiply inverse(inverse(identity))
% Current number of equations to process: 503
% Current number of ordered equations: 1
% Current number of rules: 1464
% New rule produced :
% [1572]
% identity multiply inverse(inverse(identity)) <->
% inverse(inverse(inverse(identity)))
% Current number of equations to process: 503
% Current number of ordered equations: 0
% Current number of rules: 1465
% New rule produced :
% [1573]
% identity multiply inverse(inverse(identity)) <-> inverse(A) double_divide A
% Current number of equations to process: 502
% Current number of ordered equations: 1
% Current number of rules: 1466
% New rule produced :
% [1574]
% inverse(A) double_divide A <-> identity multiply inverse(inverse(identity))
% Current number of equations to process: 502
% Current number of ordered equations: 0
% Current number of rules: 1467
% New rule produced :
% [1575]
% inverse(identity multiply inverse(inverse(identity))) <->
% identity multiply identity
% Current number of equations to process: 500
% Current number of ordered equations: 3
% Current number of rules: 1468
% New rule produced :
% [1576]
% inverse(inverse(identity multiply inverse(identity))) <->
% identity multiply identity
% Current number of equations to process: 500
% Current number of ordered equations: 2
% Current number of rules: 1469
% New rule produced :
% [1577]
% identity multiply identity <->
% inverse(identity multiply inverse(inverse(identity)))
% Current number of equations to process: 500
% Current number of ordered equations: 1
% Current number of rules: 1470
% New rule produced :
% [1578]
% identity multiply identity <->
% inverse(inverse(identity multiply inverse(identity)))
% Current number of equations to process: 500
% Current number of ordered equations: 0
% Current number of rules: 1471
% New rule produced :
% [1579] A <-> identity multiply inverse(inverse(identity multiply A))
% Current number of equations to process: 498
% Current number of ordered equations: 3
% Current number of rules: 1472
% New rule produced :
% [1580] A <-> (identity multiply inverse(inverse(identity))) multiply A
% Current number of equations to process: 498
% Current number of ordered equations: 2
% Current number of rules: 1473
% New rule produced :
% [1581] identity multiply inverse(inverse(identity multiply A)) <-> A
% Current number of equations to process: 498
% Current number of ordered equations: 1
% Current number of rules: 1474
% New rule produced :
% [1582] (identity multiply inverse(inverse(identity))) multiply A <-> A
% Current number of equations to process: 498
% Current number of ordered equations: 0
% Current number of rules: 1475
% New rule produced :
% [1583]
% identity <->
% identity double_divide (identity multiply inverse(inverse(identity)))
% Current number of equations to process: 497
% Current number of ordered equations: 1
% Current number of rules: 1476
% New rule produced :
% [1584]
% identity double_divide (identity multiply inverse(inverse(identity))) <->
% identity
% Current number of equations to process: 497
% Current number of ordered equations: 0
% Current number of rules: 1477
% New rule produced :
% [1585]
% identity multiply inverse(inverse(inverse(A))) <-> identity double_divide A
% Rule
% [998]
% identity multiply inverse(inverse(inverse(identity))) <->
% identity double_divide identity collapsed.
% Current number of equations to process: 496
% Current number of ordered equations: 1
% Current number of rules: 1477
% New rule produced :
% [1586]
% identity double_divide A <-> identity multiply inverse(inverse(inverse(A)))
% Rule
% [999]
% identity double_divide identity <->
% identity multiply inverse(inverse(inverse(identity))) collapsed.
% Current number of equations to process: 496
% Current number of ordered equations: 0
% Current number of rules: 1477
% New rule produced :
% [1587]
% identity multiply inverse(inverse(A)) <-> (A double_divide B) double_divide B
% Current number of equations to process: 495
% Current number of ordered equations: 1
% Current number of rules: 1478
% New rule produced :
% [1588]
% (A double_divide B) double_divide B <-> identity multiply inverse(inverse(A))
% Current number of equations to process: 495
% Current number of ordered equations: 0
% Current number of rules: 1479
% New rule produced :
% [1589]
% inverse(identity) <->
% identity multiply inverse(identity multiply inverse(identity))
% Current number of equations to process: 494
% Current number of ordered equations: 1
% Current number of rules: 1480
% New rule produced :
% [1590]
% identity multiply inverse(identity multiply inverse(identity)) <->
% inverse(identity)
% Current number of equations to process: 494
% Current number of ordered equations: 0
% Current number of rules: 1481
% New rule produced :
% [1591]
% inverse(identity multiply inverse(inverse(A))) <->
% inverse(identity) double_divide A
% Current number of equations to process: 493
% Current number of ordered equations: 1
% Current number of rules: 1482
% New rule produced :
% [1592]
% inverse(identity) double_divide A <->
% inverse(identity multiply inverse(inverse(A)))
% Current number of equations to process: 493
% Current number of ordered equations: 0
% Current number of rules: 1483
% New rule produced :
% [1593]
% inverse(identity multiply inverse(inverse(identity))) <->
% inverse(A) double_divide A
% Current number of equations to process: 491
% Current number of ordered equations: 3
% Current number of rules: 1484
% New rule produced :
% [1594]
% inverse(inverse(identity multiply inverse(identity))) <->
% inverse(A) double_divide A
% Current number of equations to process: 491
% Current number of ordered equations: 2
% Current number of rules: 1485
% New rule produced :
% [1595]
% inverse(A) double_divide A <->
% inverse(identity multiply inverse(inverse(identity)))
% Current number of equations to process: 491
% Current number of ordered equations: 1
% Current number of rules: 1486
% New rule produced :
% [1596]
% inverse(A) double_divide A <->
% inverse(inverse(identity multiply inverse(identity)))
% Current number of equations to process: 491
% Current number of ordered equations: 0
% Current number of rules: 1487
% New rule produced :
% [1597]
% inverse(identity multiply inverse(inverse(identity))) <->
% inverse(A) multiply A
% Current number of equations to process: 489
% Current number of ordered equations: 3
% Current number of rules: 1488
% New rule produced :
% [1598]
% inverse(inverse(identity multiply inverse(identity))) <->
% inverse(A) multiply A
% Current number of equations to process: 489
% Current number of ordered equations: 2
% Current number of rules: 1489
% New rule produced :
% [1599]
% inverse(A) multiply A <->
% inverse(identity multiply inverse(inverse(identity)))
% Current number of equations to process: 489
% Current number of ordered equations: 1
% Current number of rules: 1490
% New rule produced :
% [1600]
% inverse(A) multiply A <->
% inverse(inverse(identity multiply inverse(identity)))
% Current number of equations to process: 489
% Current number of ordered equations: 0
% Current number of rules: 1491
% New rule produced :
% [1601]
% inverse(A) <-> identity multiply inverse(inverse(identity double_divide A))
% Current number of equations to process: 487
% Current number of ordered equations: 3
% Current number of rules: 1492
% New rule produced :
% [1602]
% inverse(A) <-> (identity multiply inverse(inverse(identity))) double_divide A
% Current number of equations to process: 487
% Current number of ordered equations: 2
% Current number of rules: 1493
% New rule produced :
% [1603]
% identity multiply inverse(inverse(identity double_divide A)) <-> inverse(A)
% Current number of equations to process: 487
% Current number of ordered equations: 1
% Current number of rules: 1494
% New rule produced :
% [1604]
% (identity multiply inverse(inverse(identity))) double_divide A <-> inverse(A)
% Current number of equations to process: 487
% Current number of ordered equations: 0
% Current number of rules: 1495
% New rule produced :
% [1605]
% inverse(identity multiply inverse(inverse(inverse(A)))) <->
% identity multiply A
% Current number of equations to process: 492
% Current number of ordered equations: 3
% Current number of rules: 1496
% New rule produced :
% [1606]
% inverse(inverse(identity multiply inverse(inverse(A)))) <->
% identity multiply A
% Current number of equations to process: 492
% Current number of ordered equations: 2
% Current number of rules: 1497
% New rule produced :
% [1607]
% identity multiply A <->
% inverse(identity multiply inverse(inverse(inverse(A))))
% Current number of equations to process: 492
% Current number of ordered equations: 1
% Current number of rules: 1498
% New rule produced :
% [1608]
% identity multiply A <->
% inverse(inverse(identity multiply inverse(inverse(A))))
% Current number of equations to process: 492
% Current number of ordered equations: 0
% Current number of rules: 1499
% New rule produced :
% [1609]
% inverse(inverse(A)) <->
% inverse(identity multiply inverse(identity multiply A))
% Current number of equations to process: 490
% Current number of ordered equations: 3
% Current number of rules: 1500
% New rule produced :
% [1610]
% inverse(inverse(A)) <->
% inverse(identity multiply inverse(identity)) multiply A
% Current number of equations to process: 490
% Current number of ordered equations: 2
% Current number of rules: 1501
% New rule produced :
% [1611]
% inverse(identity multiply inverse(identity multiply A)) <->
% inverse(inverse(A))
% Current number of equations to process: 490
% Current number of ordered equations: 1
% Current number of rules: 1502
% New rule produced :
% [1612]
% inverse(identity multiply inverse(identity)) multiply A <->
% inverse(inverse(A))
% Current number of equations to process: 490
% Current number of ordered equations: 0
% Current number of rules: 1503
% New rule produced :
% [1613]
% inverse(identity multiply inverse(inverse(inverse(identity)))) <->
% identity double_divide identity
% Current number of equations to process: 487
% Current number of ordered equations: 5
% Current number of rules: 1504
% New rule produced :
% [1614]
% inverse(inverse(inverse(identity multiply inverse(identity)))) <->
% identity double_divide identity
% Current number of equations to process: 487
% Current number of ordered equations: 4
% Current number of rules: 1505
% New rule produced :
% [1615]
% inverse(inverse(identity multiply inverse(inverse(identity)))) <->
% identity double_divide identity
% Current number of equations to process: 487
% Current number of ordered equations: 3
% Current number of rules: 1506
% New rule produced :
% [1616]
% identity double_divide identity <->
% inverse(identity multiply inverse(inverse(inverse(identity))))
% Current number of equations to process: 487
% Current number of ordered equations: 2
% Current number of rules: 1507
% New rule produced :
% [1617]
% identity double_divide identity <->
% inverse(inverse(inverse(identity multiply inverse(identity))))
% Current number of equations to process: 487
% Current number of ordered equations: 1
% Current number of rules: 1508
% New rule produced :
% [1618]
% identity double_divide identity <->
% inverse(inverse(identity multiply inverse(inverse(identity))))
% Current number of equations to process: 487
% Current number of ordered equations: 0
% Current number of rules: 1509
% New rule produced :
% [1619]
% inverse(inverse(identity)) <->
% identity double_divide inverse(identity multiply inverse(identity))
% Current number of equations to process: 486
% Current number of ordered equations: 1
% Current number of rules: 1510
% New rule produced :
% [1620]
% identity double_divide inverse(identity multiply inverse(identity)) <->
% inverse(inverse(identity))
% Current number of equations to process: 486
% Current number of ordered equations: 0
% Current number of rules: 1511
% New rule produced :
% [1621]
% inverse(identity multiply inverse(identity multiply identity)) <->
% identity double_divide identity
% Current number of equations to process: 484
% Current number of ordered equations: 3
% Current number of rules: 1512
% New rule produced :
% [1622]
% identity multiply inverse(identity multiply inverse(identity)) <->
% identity double_divide identity
% Current number of equations to process: 484
% Current number of ordered equations: 2
% Current number of rules: 1513
% New rule produced :
% [1623]
% identity double_divide identity <->
% inverse(identity multiply inverse(identity multiply identity))
% Current number of equations to process: 484
% Current number of ordered equations: 1
% Current number of rules: 1514
% New rule produced :
% [1624]
% identity double_divide identity <->
% identity multiply inverse(identity multiply inverse(identity))
% Current number of equations to process: 484
% Current number of ordered equations: 0
% Current number of rules: 1515
% New rule produced :
% [1625]
% inverse(identity multiply inverse(identity double_divide identity)) <->
% identity multiply identity
% Current number of equations to process: 482
% Current number of ordered equations: 3
% Current number of rules: 1516
% New rule produced :
% [1626]
% identity multiply identity <->
% inverse(identity multiply inverse(identity double_divide identity))
% Current number of equations to process: 482
% Current number of ordered equations: 2
% Current number of rules: 1517
% New rule produced :
% [1627]
% identity multiply identity <->
% identity double_divide inverse(identity multiply inverse(identity))
% Current number of equations to process: 482
% Current number of ordered equations: 1
% Current number of rules: 1518
% New rule produced :
% [1628]
% identity double_divide inverse(identity multiply inverse(identity)) <->
% identity multiply identity
% Current number of equations to process: 482
% Current number of ordered equations: 0
% Current number of rules: 1519
% New rule produced :
% [1629] A <-> inverse(identity multiply inverse(inverse(identity) multiply A))
% Rule
% [1523]
% identity <->
% inverse(identity multiply inverse(identity multiply inverse(identity)))
% collapsed.
% Current number of equations to process: 479
% Current number of ordered equations: 5
% Current number of rules: 1519
% New rule produced :
% [1630] A <-> inverse(inverse(identity multiply inverse(identity))) multiply A
% Current number of equations to process: 479
% Current number of ordered equations: 4
% Current number of rules: 1520
% New rule produced :
% [1631] A <-> inverse(identity multiply inverse(inverse(identity))) multiply A
% Current number of equations to process: 479
% Current number of ordered equations: 3
% Current number of rules: 1521
% New rule produced :
% [1632] inverse(identity multiply inverse(inverse(identity) multiply A)) <-> A
% Rule
% [1526]
% inverse(identity multiply inverse(identity multiply inverse(identity))) <->
% identity collapsed.
% Current number of equations to process: 479
% Current number of ordered equations: 2
% Current number of rules: 1521
% New rule produced :
% [1633] inverse(inverse(identity multiply inverse(identity))) multiply A <-> A
% Current number of equations to process: 479
% Current number of ordered equations: 1
% Current number of rules: 1522
% New rule produced :
% [1634] inverse(identity multiply inverse(inverse(identity))) multiply A <-> A
% Current number of equations to process: 479
% Current number of ordered equations: 0
% Current number of rules: 1523
% New rule produced :
% [1635]
% identity <->
% inverse(identity multiply (identity multiply inverse(inverse(identity))))
% Current number of equations to process: 477
% Current number of ordered equations: 3
% Current number of rules: 1524
% New rule produced :
% [1636]
% identity <->
% identity multiply inverse(inverse(inverse(identity multiply identity)))
% Current number of equations to process: 477
% Current number of ordered equations: 2
% Current number of rules: 1525
% New rule produced :
% [1637]
% inverse(identity multiply (identity multiply inverse(inverse(identity)))) <->
% identity
% Current number of equations to process: 477
% Current number of ordered equations: 1
% Current number of rules: 1526
% New rule produced :
% [1638]
% identity multiply inverse(inverse(inverse(identity multiply identity))) <->
% identity
% Current number of equations to process: 477
% Current number of ordered equations: 0
% Current number of rules: 1527
% New rule produced :
% [1639]
% A <-> inverse((identity multiply inverse(inverse(identity))) double_divide A)
% Current number of equations to process: 475
% Current number of ordered equations: 3
% Current number of rules: 1528
% New rule produced :
% [1640]
% A <-> identity multiply inverse(inverse(inverse(identity double_divide A)))
% Current number of equations to process: 475
% Current number of ordered equations: 2
% Current number of rules: 1529
% New rule produced :
% [1641]
% inverse((identity multiply inverse(inverse(identity))) double_divide A) <-> A
% Current number of equations to process: 475
% Current number of ordered equations: 1
% Current number of rules: 1530
% New rule produced :
% [1642]
% identity multiply inverse(inverse(inverse(identity double_divide A))) <-> A
% Current number of equations to process: 475
% Current number of ordered equations: 0
% Current number of rules: 1531
% New rule produced :
% [1643]
% A <-> identity multiply inverse(inverse(identity double_divide inverse(A)))
% Current number of equations to process: 472
% Current number of ordered equations: 5
% Current number of rules: 1532
% New rule produced :
% [1644]
% A <-> identity double_divide (identity multiply inverse(inverse(inverse(A))))
% Current number of equations to process: 472
% Current number of ordered equations: 4
% Current number of rules: 1533
% New rule produced :
% [1645]
% A <-> inverse(A) double_divide (identity multiply inverse(inverse(identity)))
% Current number of equations to process: 472
% Current number of ordered equations: 3
% Current number of rules: 1534
% New rule produced :
% [1646]
% identity multiply inverse(inverse(identity double_divide inverse(A))) <-> A
% Current number of equations to process: 472
% Current number of ordered equations: 2
% Current number of rules: 1535
% New rule produced :
% [1647]
% identity double_divide (identity multiply inverse(inverse(inverse(A)))) <-> A
% Current number of equations to process: 472
% Current number of ordered equations: 1
% Current number of rules: 1536
% New rule produced :
% [1648]
% inverse(A) double_divide (identity multiply inverse(inverse(identity))) <-> A
% Current number of equations to process: 472
% Current number of ordered equations: 0
% Current number of rules: 1537
% New rule produced :
% [1649]
% identity <-> identity multiply inverse(inverse(inverse(A) double_divide A))
% Current number of equations to process: 470
% Current number of ordered equations: 3
% Current number of rules: 1538
% New rule produced :
% [1650]
% identity <-> (identity multiply inverse(inverse(inverse(A)))) double_divide A
% Current number of equations to process: 470
% Current number of ordered equations: 2
% Current number of rules: 1539
% New rule produced :
% [1651]
% identity multiply inverse(inverse(inverse(A) double_divide A)) <-> identity
% Current number of equations to process: 470
% Current number of ordered equations: 1
% Current number of rules: 1540
% New rule produced :
% [1652]
% (identity multiply inverse(inverse(inverse(A)))) double_divide A <-> identity
% Current number of equations to process: 470
% Current number of ordered equations: 0
% Current number of rules: 1541
% New rule produced :
% [1653]
% inverse(A) <->
% inverse(identity multiply inverse(inverse(identity) double_divide A))
% Current number of equations to process: 467
% Current number of ordered equations: 5
% Current number of rules: 1542
% New rule produced :
% [1654]
% inverse(A) <->
% inverse(inverse(identity multiply inverse(identity))) double_divide A
% Current number of equations to process: 467
% Current number of ordered equations: 4
% Current number of rules: 1543
% New rule produced :
% [1655]
% inverse(A) <->
% inverse(identity multiply inverse(inverse(identity))) double_divide A
% Current number of equations to process: 467
% Current number of ordered equations: 3
% Current number of rules: 1544
% New rule produced :
% [1656]
% inverse(identity multiply inverse(inverse(identity) double_divide A)) <->
% inverse(A)
% Current number of equations to process: 467
% Current number of ordered equations: 2
% Current number of rules: 1545
% New rule produced :
% [1657]
% inverse(inverse(identity multiply inverse(identity))) double_divide A <->
% inverse(A)
% Current number of equations to process: 467
% Current number of ordered equations: 1
% Current number of rules: 1546
% New rule produced :
% [1658]
% inverse(identity multiply inverse(inverse(identity))) double_divide A <->
% inverse(A)
% Current number of equations to process: 467
% Current number of ordered equations: 0
% Current number of rules: 1547
% New rule produced :
% [1659]
% inverse(identity) <->
% inverse(identity multiply inverse(inverse(A))) double_divide A
% Current number of equations to process: 466
% Current number of ordered equations: 1
% Current number of rules: 1548
% New rule produced :
% [1660]
% inverse(identity multiply inverse(inverse(A))) double_divide A <->
% inverse(identity)
% Current number of equations to process: 466
% Current number of ordered equations: 0
% Current number of rules: 1549
% New rule produced :
% [1661]
% inverse(identity) <->
% inverse(identity multiply inverse(inverse(A) multiply A))
% Current number of equations to process: 464
% Current number of ordered equations: 3
% Current number of rules: 1550
% New rule produced :
% [1662]
% inverse(identity) <->
% inverse(identity multiply inverse(inverse(A))) multiply A
% Current number of equations to process: 464
% Current number of ordered equations: 2
% Current number of rules: 1551
% New rule produced :
% [1663]
% inverse(identity multiply inverse(inverse(A) multiply A)) <->
% inverse(identity)
% Current number of equations to process: 464
% Current number of ordered equations: 1
% Current number of rules: 1552
% New rule produced :
% [1664]
% inverse(identity multiply inverse(inverse(A))) multiply A <->
% inverse(identity)
% Current number of equations to process: 464
% Current number of ordered equations: 0
% Current number of rules: 1553
% New rule produced :
% [1665]
% inverse(A double_divide B) <->
% identity multiply inverse(inverse(A multiply B))
% Current number of equations to process: 463
% Current number of ordered equations: 1
% Current number of rules: 1554
% New rule produced :
% [1666]
% identity multiply inverse(inverse(A multiply B)) <->
% inverse(A double_divide B)
% Current number of equations to process: 463
% Current number of ordered equations: 0
% Current number of rules: 1555
% New rule produced :
% [1667]
% (eq)(A,inverse(identity multiply inverse(identity multiply A))) -> (true)
% Current number of equations to process: 461
% Current number of ordered equations: 1
% Current number of rules: 1556
% New rule produced :
% [1668]
% (eq)(A,inverse(identity multiply inverse(identity)) multiply A) -> (true)
% Rule
% [1203]
% (eq)(identity,identity multiply inverse(identity multiply inverse(identity)))
% -> (true) collapsed.
% Current number of equations to process: 461
% Current number of ordered equations: 0
% Current number of rules: 1556
% New rule produced :
% [1669]
% (eq)(inverse(identity multiply inverse(inverse(inverse(A)))),A) -> (true)
% Current number of equations to process: 459
% Current number of ordered equations: 1
% Current number of rules: 1557
% New rule produced :
% [1670]
% (eq)(inverse(inverse(identity multiply inverse(inverse(A)))),A) -> (true)
% Current number of equations to process: 459
% Current number of ordered equations: 0
% Current number of rules: 1558
% New rule produced :
% [1671]
% A <->
% inverse(identity multiply inverse(inverse(inverse(inverse(inverse(A))))))
% Current number of equations to process: 455
% Current number of ordered equations: 7
% Current number of rules: 1559
% New rule produced :
% [1672]
% A <->
% inverse(inverse(inverse(inverse(identity multiply inverse(inverse(A))))))
% Current number of equations to process: 455
% Current number of ordered equations: 6
% Current number of rules: 1560
% New rule produced :
% [1673]
% A <->
% inverse(inverse(identity multiply inverse(inverse(inverse(inverse(A))))))
% Current number of equations to process: 455
% Current number of ordered equations: 5
% Current number of rules: 1561
% New rule produced :
% [1674]
% A <->
% inverse(inverse(inverse(identity multiply inverse(inverse(inverse(A))))))
% Current number of equations to process: 455
% Current number of ordered equations: 4
% Current number of rules: 1562
% New rule produced :
% [1675]
% inverse(identity multiply inverse(inverse(inverse(inverse(inverse(A)))))) <->
% A
% Current number of equations to process: 455
% Current number of ordered equations: 3
% Current number of rules: 1563
% New rule produced :
% [1676]
% inverse(inverse(inverse(inverse(identity multiply inverse(inverse(A)))))) <->
% A
% Current number of equations to process: 455
% Current number of ordered equations: 2
% Current number of rules: 1564
% New rule produced :
% [1677]
% inverse(inverse(identity multiply inverse(inverse(inverse(inverse(A)))))) <->
% A
% Current number of equations to process: 455
% Current number of ordered equations: 1
% Current number of rules: 1565
% New rule produced :
% [1678]
% inverse(inverse(inverse(identity multiply inverse(inverse(inverse(A)))))) <->
% A
% Current number of equations to process: 455
% Current number of ordered equations: 0
% Current number of rules: 1566
% New rule produced :
% [1679]
% A multiply B <->
% identity multiply inverse(inverse(inverse(A double_divide B)))
% Current number of equations to process: 454
% Current number of ordered equations: 1
% Current number of rules: 1567
% New rule produced :
% [1680]
% identity multiply inverse(inverse(inverse(A double_divide B))) <->
% A multiply B
% Current number of equations to process: 454
% Current number of ordered equations: 0
% Current number of rules: 1568
% New rule produced :
% [1681]
% A <-> identity multiply inverse(inverse((A double_divide B) double_divide B))
% Current number of equations to process: 452
% Current number of ordered equations: 3
% Current number of rules: 1569
% New rule produced :
% [1682]
% A <-> (identity multiply inverse(inverse(A double_divide B))) double_divide B
% Current number of equations to process: 452
% Current number of ordered equations: 2
% Current number of rules: 1570
% New rule produced :
% [1683]
% identity multiply inverse(inverse((A double_divide B) double_divide B)) <-> A
% Current number of equations to process: 452
% Current number of ordered equations: 1
% Current number of rules: 1571
% New rule produced :
% [1684]
% (identity multiply inverse(inverse(A double_divide B))) double_divide B <-> A
% Current number of equations to process: 452
% Current number of ordered equations: 0
% Current number of rules: 1572
% New rule produced :
% [1685]
% identity multiply inverse(inverse(A multiply B)) <->
% identity double_divide (A double_divide B)
% Current number of equations to process: 451
% Current number of ordered equations: 1
% Current number of rules: 1573
% New rule produced :
% [1686]
% identity double_divide (A double_divide B) <->
% identity multiply inverse(inverse(A multiply B))
% Current number of equations to process: 451
% Current number of ordered equations: 0
% Current number of rules: 1574
% New rule produced :
% [1687]
% identity multiply inverse(inverse(inverse(B))) <->
% inverse(inverse(A) double_divide B) double_divide A
% Current number of equations to process: 450
% Current number of ordered equations: 1
% Current number of rules: 1575
% New rule produced :
% [1688]
% inverse(inverse(A) double_divide B) double_divide A <->
% identity multiply inverse(inverse(inverse(B)))
% Current number of equations to process: 450
% Current number of ordered equations: 0
% Current number of rules: 1576
% New rule produced :
% [1689] identity multiply inverse(inverse(A)) <-> inverse(identity) multiply A
% Current number of equations to process: 516
% Current number of ordered equations: 1
% Current number of rules: 1577
% New rule produced :
% [1690] inverse(identity) multiply A <-> identity multiply inverse(inverse(A))
% Current number of equations to process: 516
% Current number of ordered equations: 0
% Current number of rules: 1578
% New rule produced :
% [1691] A <-> inverse(inverse(inverse(identity)) multiply inverse(A))
% Current number of equations to process: 515
% Current number of ordered equations: 1
% Current number of rules: 1579
% New rule produced :
% [1692] inverse(inverse(inverse(identity)) multiply inverse(A)) <-> A
% Current number of equations to process: 515
% Current number of ordered equations: 0
% Current number of rules: 1580
% New rule produced :
% [1693] A <-> inverse(identity multiply (identity multiply inverse(A)))
% Rule
% [1099]
% identity <-> inverse(identity multiply (identity multiply inverse(identity)))
% collapsed.
% Current number of equations to process: 512
% Current number of ordered equations: 5
% Current number of rules: 1580
% New rule produced :
% [1694] A <-> inverse(inverse(A) multiply (identity multiply identity))
% Rule
% [1100]
% identity <-> inverse(inverse(identity) multiply (identity multiply identity))
% collapsed.
% Current number of equations to process: 512
% Current number of ordered equations: 4
% Current number of rules: 1580
% New rule produced :
% [1695] A <-> identity multiply inverse(identity multiply inverse(A))
% Current number of equations to process: 512
% Current number of ordered equations: 3
% Current number of rules: 1581
% New rule produced :
% [1696] inverse(identity multiply (identity multiply inverse(A))) <-> A
% Rule
% [1102]
% inverse(identity multiply (identity multiply inverse(identity))) <-> identity
% collapsed.
% Current number of equations to process: 512
% Current number of ordered equations: 2
% Current number of rules: 1581
% New rule produced :
% [1697] inverse(inverse(A) multiply (identity multiply identity)) <-> A
% Rule
% [1103]
% inverse(inverse(identity) multiply (identity multiply identity)) <-> identity
% collapsed.
% Current number of equations to process: 512
% Current number of ordered equations: 1
% Current number of rules: 1581
% New rule produced :
% [1698] identity multiply inverse(identity multiply inverse(A)) <-> A
% Current number of equations to process: 512
% Current number of ordered equations: 0
% Current number of rules: 1582
% New rule produced :
% [1699] A <-> inverse(inverse(A) multiply (identity double_divide identity))
% Current number of equations to process: 511
% Current number of ordered equations: 1
% Current number of rules: 1583
% New rule produced :
% [1700] inverse(inverse(A) multiply (identity double_divide identity)) <-> A
% Current number of equations to process: 511
% Current number of ordered equations: 0
% Current number of rules: 1584
% New rule produced :
% [1701] inverse(identity multiply (A multiply B)) <-> A double_divide B
% Current number of equations to process: 510
% Current number of ordered equations: 1
% Current number of rules: 1585
% New rule produced :
% [1702] A double_divide B <-> inverse(identity multiply (A multiply B))
% Current number of equations to process: 510
% Current number of ordered equations: 0
% Current number of rules: 1586
% New rule produced :
% [1703]
% inverse(identity) <->
% identity multiply (identity multiply inverse(inverse(identity)))
% Current number of equations to process: 508
% Current number of ordered equations: 3
% Current number of rules: 1587
% New rule produced :
% [1704]
% inverse(identity) <->
% identity multiply inverse(inverse(identity multiply identity))
% Current number of equations to process: 508
% Current number of ordered equations: 2
% Current number of rules: 1588
% New rule produced :
% [1705]
% identity multiply (identity multiply inverse(inverse(identity))) <->
% inverse(identity)
% Current number of equations to process: 508
% Current number of ordered equations: 1
% Current number of rules: 1589
% New rule produced :
% [1706]
% identity multiply inverse(inverse(identity multiply identity)) <->
% inverse(identity)
% Current number of equations to process: 508
% Current number of ordered equations: 0
% Current number of rules: 1590
% New rule produced :
% [1707]
% identity multiply inverse(inverse(inverse(A))) <->
% inverse(identity) double_divide A
% Current number of equations to process: 507
% Current number of ordered equations: 1
% Current number of rules: 1591
% New rule produced :
% [1708]
% inverse(identity) double_divide A <->
% identity multiply inverse(inverse(inverse(A)))
% Current number of equations to process: 507
% Current number of ordered equations: 0
% Current number of rules: 1592
% New rule produced :
% [1709]
% identity multiply inverse(inverse(inverse(identity))) <->
% inverse(A) double_divide A
% Current number of equations to process: 506
% Current number of ordered equations: 1
% Current number of rules: 1593
% New rule produced :
% [1710]
% inverse(A) double_divide A <->
% identity multiply inverse(inverse(inverse(identity)))
% Current number of equations to process: 506
% Current number of ordered equations: 0
% Current number of rules: 1594
% New rule produced :
% [1711]
% identity multiply inverse(inverse(inverse(identity))) <->
% inverse(A) multiply A
% Current number of equations to process: 505
% Current number of ordered equations: 1
% Current number of rules: 1595
% New rule produced :
% [1712]
% inverse(A) multiply A <->
% identity multiply inverse(inverse(inverse(identity)))
% Current number of equations to process: 505
% Current number of ordered equations: 0
% Current number of rules: 1596
% New rule produced :
% [1713]
% inverse(inverse(A)) <->
% identity multiply inverse(inverse(identity multiply A))
% Current number of equations to process: 509
% Current number of ordered equations: 3
% Current number of rules: 1597
% New rule produced :
% [1714]
% inverse(inverse(A)) <->
% (identity multiply inverse(inverse(identity))) multiply A
% Current number of equations to process: 509
% Current number of ordered equations: 2
% Current number of rules: 1598
% New rule produced :
% [1715]
% identity multiply inverse(inverse(identity multiply A)) <->
% inverse(inverse(A))
% Current number of equations to process: 509
% Current number of ordered equations: 1
% Current number of rules: 1599
% New rule produced :
% [1716]
% (identity multiply inverse(inverse(identity))) multiply A <->
% inverse(inverse(A))
% Current number of equations to process: 509
% Current number of ordered equations: 0
% Current number of rules: 1600
% New rule produced :
% [1717]
% inverse(inverse(identity)) <->
% identity multiply inverse(inverse(identity double_divide identity))
% Current number of equations to process: 507
% Current number of ordered equations: 3
% Current number of rules: 1601
% New rule produced :
% [1718]
% inverse(inverse(identity)) <->
% identity double_divide (identity multiply inverse(inverse(identity)))
% Current number of equations to process: 507
% Current number of ordered equations: 2
% Current number of rules: 1602
% New rule produced :
% [1719]
% identity multiply inverse(inverse(identity double_divide identity)) <->
% inverse(inverse(identity))
% Current number of equations to process: 507
% Current number of ordered equations: 1
% Current number of rules: 1603
% New rule produced :
% [1720]
% identity double_divide (identity multiply inverse(inverse(identity))) <->
% inverse(inverse(identity))
% Current number of equations to process: 507
% Current number of ordered equations: 0
% Current number of rules: 1604
% New rule produced :
% [1721]
% identity multiply (identity multiply inverse(inverse(identity))) <->
% identity double_divide identity
% Current number of equations to process: 505
% Current number of ordered equations: 3
% Current number of rules: 1605
% New rule produced :
% [1722]
% identity multiply inverse(inverse(identity multiply identity)) <->
% identity double_divide identity
% Current number of equations to process: 505
% Current number of ordered equations: 2
% Current number of rules: 1606
% New rule produced :
% [1723]
% identity double_divide identity <->
% identity multiply (identity multiply inverse(inverse(identity)))
% Current number of equations to process: 505
% Current number of ordered equations: 1
% Current number of rules: 1607
% New rule produced :
% [1724]
% identity double_divide identity <->
% identity multiply inverse(inverse(identity multiply identity))
% Current number of equations to process: 505
% Current number of ordered equations: 0
% Current number of rules: 1608
% New rule produced :
% [1725]
% identity multiply identity <->
% identity double_divide (identity multiply inverse(inverse(identity)))
% Current number of equations to process: 504
% Current number of ordered equations: 1
% Current number of rules: 1609
% New rule produced :
% [1726]
% identity double_divide (identity multiply inverse(inverse(identity))) <->
% identity multiply identity
% Current number of equations to process: 504
% Current number of ordered equations: 0
% Current number of rules: 1610
% New rule produced :
% [1727] A <-> identity multiply inverse(inverse(inverse(identity) multiply A))
% Current number of equations to process: 502
% Current number of ordered equations: 3
% Current number of rules: 1611
% New rule produced :
% [1728]
% A <-> (identity multiply inverse(inverse(inverse(identity)))) multiply A
% Current number of equations to process: 502
% Current number of ordered equations: 2
% Current number of rules: 1612
% New rule produced :
% [1729] identity multiply inverse(inverse(inverse(identity) multiply A)) <-> A
% Current number of equations to process: 502
% Current number of ordered equations: 1
% Current number of rules: 1613
% New rule produced :
% [1730]
% (identity multiply inverse(inverse(inverse(identity)))) multiply A <-> A
% Current number of equations to process: 502
% Current number of ordered equations: 0
% Current number of rules: 1614
% New rule produced :
% [1731] A <-> inverse(inverse(identity multiply identity) multiply inverse(A))
% Current number of equations to process: 501
% Current number of ordered equations: 1
% Current number of rules: 1615
% New rule produced :
% [1732] inverse(inverse(identity multiply identity) multiply inverse(A)) <-> A
% Current number of equations to process: 501
% Current number of ordered equations: 0
% Current number of rules: 1616
% New rule produced :
% [1733]
% A <-> inverse(inverse(identity double_divide (identity multiply inverse(A))))
% Current number of equations to process: 498
% Current number of ordered equations: 5
% Current number of rules: 1617
% New rule produced :
% [1734]
% A <-> inverse(identity double_divide inverse(identity multiply inverse(A)))
% Current number of equations to process: 498
% Current number of ordered equations: 4
% Current number of rules: 1618
% New rule produced :
% [1735]
% A <-> inverse(inverse(identity double_divide identity) multiply inverse(A))
% Current number of equations to process: 498
% Current number of ordered equations: 3
% Current number of rules: 1619
% New rule produced :
% [1736]
% inverse(inverse(identity double_divide (identity multiply inverse(A)))) <-> A
% Current number of equations to process: 498
% Current number of ordered equations: 2
% Current number of rules: 1620
% New rule produced :
% [1737]
% inverse(identity double_divide inverse(identity multiply inverse(A))) <-> A
% Current number of equations to process: 498
% Current number of ordered equations: 1
% Current number of rules: 1621
% New rule produced :
% [1738]
% inverse(inverse(identity double_divide identity) multiply inverse(A)) <-> A
% Current number of equations to process: 498
% Current number of ordered equations: 0
% Current number of rules: 1622
% New rule produced :
% [1739]
% A <-> inverse(identity multiply (identity double_divide inverse(inverse(A))))
% Current number of equations to process: 494
% Current number of ordered equations: 5
% Current number of rules: 1623
% New rule produced :
% [1740]
% A <-> inverse(inverse(A) multiply (identity double_divide inverse(identity)))
% Current number of equations to process: 494
% Current number of ordered equations: 4
% Current number of rules: 1624
% New rule produced :
% [1741]
% A <-> identity double_divide inverse(inverse(identity multiply inverse(A)))
% Current number of equations to process: 494
% Current number of ordered equations: 3
% Current number of rules: 1625
% New rule produced :
% [1742]
% inverse(identity multiply (identity double_divide inverse(inverse(A)))) <-> A
% Current number of equations to process: 494
% Current number of ordered equations: 2
% Current number of rules: 1626
% New rule produced :
% [1743]
% inverse(inverse(A) multiply (identity double_divide inverse(identity))) <-> A
% Current number of equations to process: 494
% Current number of ordered equations: 1
% Current number of rules: 1627
% New rule produced :
% [1744]
% identity double_divide inverse(inverse(identity multiply inverse(A))) <-> A
% Current number of equations to process: 494
% Current number of ordered equations: 0
% Current number of rules: 1628
% New rule produced :
% [1745] A <-> inverse(inverse(inverse(inverse(identity))) multiply inverse(A))
% Current number of equations to process: 493
% Current number of ordered equations: 1
% Current number of rules: 1629
% New rule produced :
% [1746] inverse(inverse(inverse(inverse(identity))) multiply inverse(A)) <-> A
% Current number of equations to process: 493
% Current number of ordered equations: 0
% Current number of rules: 1630
% New rule produced :
% [1747] A <-> inverse(inverse(A) multiply (inverse(B) double_divide B))
% Rule
% [1740]
% A <-> inverse(inverse(A) multiply (identity double_divide inverse(identity)))
% collapsed.
% Current number of equations to process: 492
% Current number of ordered equations: 1
% Current number of rules: 1630
% New rule produced :
% [1748] inverse(inverse(A) multiply (inverse(B) double_divide B)) <-> A
% Rule
% [1743]
% inverse(inverse(A) multiply (identity double_divide inverse(identity))) <-> A
% collapsed.
% Current number of equations to process: 492
% Current number of ordered equations: 0
% Current number of rules: 1630
% New rule produced :
% [1749]
% inverse(A) <->
% identity multiply inverse(inverse(inverse(identity) double_divide A))
% Current number of equations to process: 490
% Current number of ordered equations: 3
% Current number of rules: 1631
% New rule produced :
% [1750]
% inverse(A) <->
% (identity multiply inverse(inverse(inverse(identity)))) double_divide A
% Current number of equations to process: 490
% Current number of ordered equations: 2
% Current number of rules: 1632
% New rule produced :
% [1751]
% identity multiply inverse(inverse(inverse(identity) double_divide A)) <->
% inverse(A)
% Current number of equations to process: 490
% Current number of ordered equations: 1
% Current number of rules: 1633
% New rule produced :
% [1752]
% (identity multiply inverse(inverse(inverse(identity)))) double_divide A <->
% inverse(A)
% Current number of equations to process: 490
% Current number of ordered equations: 0
% Current number of rules: 1634
% New rule produced :
% [1753]
% inverse(identity) <->
% identity multiply inverse(inverse(inverse(A) double_divide A))
% Current number of equations to process: 488
% Current number of ordered equations: 3
% Current number of rules: 1635
% New rule produced :
% [1754]
% inverse(identity) <->
% (identity multiply inverse(inverse(inverse(A)))) double_divide A
% Current number of equations to process: 488
% Current number of ordered equations: 2
% Current number of rules: 1636
% New rule produced :
% [1755]
% identity multiply inverse(inverse(inverse(A) double_divide A)) <->
% inverse(identity)
% Current number of equations to process: 488
% Current number of ordered equations: 1
% Current number of rules: 1637
% New rule produced :
% [1756]
% (identity multiply inverse(inverse(inverse(A)))) double_divide A <->
% inverse(identity)
% Current number of equations to process: 488
% Current number of ordered equations: 0
% Current number of rules: 1638
% New rule produced :
% [1757]
% inverse(identity) <->
% identity multiply inverse(inverse(inverse(A) multiply A))
% Current number of equations to process: 486
% Current number of ordered equations: 3
% Current number of rules: 1639
% New rule produced :
% [1758]
% inverse(identity) <->
% (identity multiply inverse(inverse(inverse(A)))) multiply A
% Current number of equations to process: 486
% Current number of ordered equations: 2
% Current number of rules: 1640
% New rule produced :
% [1759]
% identity multiply inverse(inverse(inverse(A) multiply A)) <->
% inverse(identity)
% Current number of equations to process: 486
% Current number of ordered equations: 1
% Current number of rules: 1641
% New rule produced :
% [1760]
% (identity multiply inverse(inverse(inverse(A)))) multiply A <->
% inverse(identity)
% Current number of equations to process: 486
% Current number of ordered equations: 0
% Current number of rules: 1642
% New rule produced :
% [1761]
% (eq)(A,identity multiply inverse(inverse(identity multiply A))) -> (true)
% Rule
% [1174]
% (eq)(identity,identity multiply inverse(inverse(identity multiply identity)))
% -> (true) collapsed.
% Current number of equations to process: 484
% Current number of ordered equations: 1
% Current number of rules: 1642
% New rule produced :
% [1762]
% (eq)(A,(identity multiply inverse(inverse(identity))) multiply A) -> (true)
% Current number of equations to process: 484
% Current number of ordered equations: 0
% Current number of rules: 1643
% New rule produced :
% [1763]
% (eq)(identity multiply inverse(inverse(inverse(inverse(A)))),A) -> (true)
% Current number of equations to process: 483
% Current number of ordered equations: 0
% Current number of rules: 1644
% New rule produced :
% [1764]
% A <->
% identity multiply inverse(inverse(inverse(inverse(inverse(inverse(A))))))
% Current number of equations to process: 482
% Current number of ordered equations: 1
% Current number of rules: 1645
% New rule produced :
% [1765]
% identity multiply inverse(inverse(inverse(inverse(inverse(inverse(A)))))) <->
% A
% Current number of equations to process: 482
% Current number of ordered equations: 0
% Current number of rules: 1646
% New rule produced :
% [1766]
% (eq)(inverse(A),identity multiply (identity multiply inverse(A))) -> (true)
% Rule
% [1153]
% (eq)(inverse(identity),identity multiply (identity multiply inverse(identity)))
% -> (true) collapsed.
% Current number of equations to process: 481
% Current number of ordered equations: 0
% Current number of rules: 1646
% New rule produced :
% [1767]
% A <->
% inverse(identity multiply ((inverse(A) double_divide B) double_divide B))
% Current number of equations to process: 477
% Current number of ordered equations: 7
% Current number of rules: 1647
% New rule produced :
% [1768]
% A <->
% inverse(((identity multiply inverse(A)) double_divide B) double_divide B)
% Current number of equations to process: 477
% Current number of ordered equations: 6
% Current number of rules: 1648
% New rule produced :
% [1769]
% A <->
% inverse(inverse(A) multiply ((identity double_divide B) double_divide B))
% Current number of equations to process: 477
% Current number of ordered equations: 5
% Current number of rules: 1649
% New rule produced :
% [1770]
% A <-> (inverse(identity multiply inverse(A)) double_divide B) double_divide B
% Current number of equations to process: 477
% Current number of ordered equations: 4
% Current number of rules: 1650
% New rule produced :
% [1771]
% inverse(identity multiply ((inverse(A) double_divide B) double_divide B)) <->
% A
% Current number of equations to process: 477
% Current number of ordered equations: 3
% Current number of rules: 1651
% New rule produced :
% [1772]
% inverse(((identity multiply inverse(A)) double_divide B) double_divide B) <->
% A
% Current number of equations to process: 477
% Current number of ordered equations: 2
% Current number of rules: 1652
% New rule produced :
% [1773]
% inverse(inverse(A) multiply ((identity double_divide B) double_divide B)) <->
% A
% Current number of equations to process: 477
% Current number of ordered equations: 1
% Current number of rules: 1653
% New rule produced :
% [1774]
% (inverse(identity multiply inverse(A)) double_divide B) double_divide B <-> A
% Current number of equations to process: 477
% Current number of ordered equations: 0
% Current number of rules: 1654
% New rule produced :
% [1775]
% inverse(A) <->
% inverse(A double_divide B) double_divide (identity multiply inverse(B))
% Current number of equations to process: 476
% Current number of ordered equations: 1
% Current number of rules: 1655
% New rule produced :
% [1776]
% inverse(A double_divide B) double_divide (identity multiply inverse(B)) <->
% inverse(A)
% Current number of equations to process: 476
% Current number of ordered equations: 0
% Current number of rules: 1656
% New rule produced :
% [1777] A <-> inverse(identity multiply (inverse(identity) double_divide A))
% Current number of equations to process: 515
% Current number of ordered equations: 3
% Current number of rules: 1657
% New rule produced :
% [1778] A <-> inverse(identity) double_divide (identity multiply inverse(A))
% Current number of equations to process: 515
% Current number of ordered equations: 2
% Current number of rules: 1658
% New rule produced :
% [1779] inverse(identity multiply (inverse(identity) double_divide A)) <-> A
% Current number of equations to process: 515
% Current number of ordered equations: 1
% Current number of rules: 1659
% New rule produced :
% [1780] inverse(identity) double_divide (identity multiply inverse(A)) <-> A
% Current number of equations to process: 515
% Current number of ordered equations: 0
% Current number of rules: 1660
% New rule produced :
% [1781] identity <-> inverse(identity multiply (inverse(A) multiply A))
% Current number of equations to process: 514
% Current number of ordered equations: 1
% Current number of rules: 1661
% New rule produced :
% [1782] inverse(identity multiply (inverse(A) multiply A)) <-> identity
% Current number of equations to process: 514
% Current number of ordered equations: 0
% Current number of rules: 1662
% New rule produced :
% [1783] A <-> inverse(inverse(identity)) multiply inverse(inverse(A))
% Current number of equations to process: 513
% Current number of ordered equations: 1
% Current number of rules: 1663
% New rule produced :
% [1784] inverse(inverse(identity)) multiply inverse(inverse(A)) <-> A
% Current number of equations to process: 513
% Current number of ordered equations: 0
% Current number of rules: 1664
% New rule produced :
% [1785] A <-> identity multiply (identity multiply inverse(inverse(A)))
% Current number of equations to process: 511
% Current number of ordered equations: 3
% Current number of rules: 1665
% New rule produced :
% [1786] A <-> inverse(inverse(A)) multiply (identity multiply identity)
% Current number of equations to process: 511
% Current number of ordered equations: 2
% Current number of rules: 1666
% New rule produced :
% [1787] identity multiply (identity multiply inverse(inverse(A))) <-> A
% Current number of equations to process: 511
% Current number of ordered equations: 1
% Current number of rules: 1667
% New rule produced :
% [1788] inverse(inverse(A)) multiply (identity multiply identity) <-> A
% Current number of equations to process: 511
% Current number of ordered equations: 0
% Current number of rules: 1668
% New rule produced :
% [1789] A <-> inverse(inverse(A)) multiply (identity double_divide identity)
% Current number of equations to process: 510
% Current number of ordered equations: 1
% Current number of rules: 1669
% New rule produced :
% [1790] inverse(inverse(A)) multiply (identity double_divide identity) <-> A
% Current number of equations to process: 510
% Current number of ordered equations: 0
% Current number of rules: 1670
% New rule produced :
% [1791] identity multiply inverse(A multiply B) <-> A double_divide B
% Rule
% [1010]
% identity multiply inverse(identity multiply identity) <->
% identity double_divide identity collapsed.
% Rule
% [1550]
% inverse(identity multiply inverse(A multiply B)) <->
% inverse(A double_divide B) collapsed.
% Current number of equations to process: 509
% Current number of ordered equations: 1
% Current number of rules: 1669
% New rule produced :
% [1792] A double_divide B <-> identity multiply inverse(A multiply B)
% Rule
% [1011]
% identity double_divide identity <->
% identity multiply inverse(identity multiply identity) collapsed.
% Rule
% [1549]
% inverse(A double_divide B) <->
% inverse(identity multiply inverse(A multiply B)) collapsed.
% Current number of equations to process: 509
% Current number of ordered equations: 0
% Current number of rules: 1668
% New rule produced :
% [1793]
% A <-> inverse(inverse(identity) multiply (identity multiply inverse(A)))
% Current number of equations to process: 510
% Current number of ordered equations: 7
% Current number of rules: 1669
% New rule produced :
% [1794]
% A <-> inverse(identity multiply (inverse(identity) multiply inverse(A)))
% Current number of equations to process: 510
% Current number of ordered equations: 6
% Current number of rules: 1670
% New rule produced :
% [1795]
% A <-> inverse(inverse(A) multiply (identity multiply inverse(identity)))
% Current number of equations to process: 510
% Current number of ordered equations: 5
% Current number of rules: 1671
% New rule produced :
% [1796] A <-> inverse(identity) multiply inverse(identity multiply inverse(A))
% Current number of equations to process: 510
% Current number of ordered equations: 4
% Current number of rules: 1672
% New rule produced :
% [1797]
% inverse(inverse(identity) multiply (identity multiply inverse(A))) <-> A
% Current number of equations to process: 510
% Current number of ordered equations: 3
% Current number of rules: 1673
% New rule produced :
% [1798]
% inverse(identity multiply (inverse(identity) multiply inverse(A))) <-> A
% Current number of equations to process: 510
% Current number of ordered equations: 2
% Current number of rules: 1674
% New rule produced :
% [1799]
% inverse(inverse(A) multiply (identity multiply inverse(identity))) <-> A
% Current number of equations to process: 510
% Current number of ordered equations: 1
% Current number of rules: 1675
% New rule produced :
% [1800] inverse(identity) multiply inverse(identity multiply inverse(A)) <-> A
% Current number of equations to process: 510
% Current number of ordered equations: 0
% Current number of rules: 1676
% New rule produced :
% [1801] A <-> inverse(inverse(A)) multiply inverse(identity multiply identity)
% Current number of equations to process: 509
% Current number of ordered equations: 1
% Current number of rules: 1677
% New rule produced :
% [1802] inverse(inverse(A)) multiply inverse(identity multiply identity) <-> A
% Current number of equations to process: 509
% Current number of ordered equations: 0
% Current number of rules: 1678
% New rule produced :
% [1803]
% A <-> inverse(identity double_divide (identity multiply inverse(inverse(A))))
% Current number of equations to process: 506
% Current number of ordered equations: 5
% Current number of rules: 1679
% New rule produced :
% [1804]
% A <-> identity multiply inverse(identity double_divide inverse(inverse(A)))
% Current number of equations to process: 506
% Current number of ordered equations: 4
% Current number of rules: 1680
% New rule produced :
% [1805]
% A <-> inverse(inverse(A)) multiply inverse(identity double_divide identity)
% Current number of equations to process: 506
% Current number of ordered equations: 3
% Current number of rules: 1681
% New rule produced :
% [1806]
% inverse(identity double_divide (identity multiply inverse(inverse(A)))) <-> A
% Current number of equations to process: 506
% Current number of ordered equations: 2
% Current number of rules: 1682
% New rule produced :
% [1807]
% identity multiply inverse(identity double_divide inverse(inverse(A))) <-> A
% Current number of equations to process: 506
% Current number of ordered equations: 1
% Current number of rules: 1683
% New rule produced :
% [1808]
% inverse(inverse(A)) multiply inverse(identity double_divide identity) <-> A
% Current number of equations to process: 506
% Current number of ordered equations: 0
% Current number of rules: 1684
% New rule produced :
% [1809]
% A <-> identity multiply (identity double_divide inverse(inverse(inverse(A))))
% Current number of equations to process: 503
% Current number of ordered equations: 3
% Current number of rules: 1685
% New rule produced :
% [1810]
% A <-> inverse(inverse(A)) multiply (identity double_divide inverse(identity))
% Current number of equations to process: 503
% Current number of ordered equations: 2
% Current number of rules: 1686
% New rule produced :
% [1811]
% identity multiply (identity double_divide inverse(inverse(inverse(A)))) <-> A
% Current number of equations to process: 503
% Current number of ordered equations: 1
% Current number of rules: 1687
% New rule produced :
% [1812]
% inverse(inverse(A)) multiply (identity double_divide inverse(identity)) <-> A
% Current number of equations to process: 503
% Current number of ordered equations: 0
% Current number of rules: 1688
% New rule produced :
% [1813] A <-> inverse(inverse(inverse(identity))) multiply inverse(inverse(A))
% Current number of equations to process: 502
% Current number of ordered equations: 1
% Current number of rules: 1689
% New rule produced :
% [1814] inverse(inverse(inverse(identity))) multiply inverse(inverse(A)) <-> A
% Current number of equations to process: 502
% Current number of ordered equations: 0
% Current number of rules: 1690
% New rule produced :
% [1815] A <-> inverse(inverse(A)) multiply (inverse(B) double_divide B)
% Rule
% [1810]
% A <-> inverse(inverse(A)) multiply (identity double_divide inverse(identity))
% collapsed.
% Current number of equations to process: 501
% Current number of ordered equations: 1
% Current number of rules: 1690
% New rule produced :
% [1816] inverse(inverse(A)) multiply (inverse(B) double_divide B) <-> A
% Rule
% [1812]
% inverse(inverse(A)) multiply (identity double_divide inverse(identity)) <-> A
% collapsed.
% Current number of equations to process: 501
% Current number of ordered equations: 0
% Current number of rules: 1690
% New rule produced :
% [1817]
% A <->
% inverse(inverse(inverse(inverse(inverse(identity multiply inverse(A))))))
% Current number of equations to process: 499
% Current number of ordered equations: 3
% Current number of rules: 1691
% New rule produced :
% [1818]
% A <->
% inverse(inverse(inverse(inverse(inverse(identity)))) multiply inverse(A))
% Current number of equations to process: 499
% Current number of ordered equations: 2
% Current number of rules: 1692
% New rule produced :
% [1819]
% inverse(inverse(inverse(inverse(inverse(identity multiply inverse(A)))))) <->
% A
% Current number of equations to process: 499
% Current number of ordered equations: 1
% Current number of rules: 1693
% New rule produced :
% [1820]
% inverse(inverse(inverse(inverse(inverse(identity)))) multiply inverse(A)) <->
% A
% Current number of equations to process: 499
% Current number of ordered equations: 0
% Current number of rules: 1694
% New rule produced :
% [1821]
% A <->
% inverse(inverse(identity multiply inverse(identity multiply inverse(A))))
% Current number of equations to process: 495
% Current number of ordered equations: 7
% Current number of rules: 1695
% New rule produced :
% [1822]
% A <->
% inverse(identity multiply inverse(inverse(identity multiply inverse(A))))
% Current number of equations to process: 495
% Current number of ordered equations: 6
% Current number of rules: 1696
% New rule produced :
% [1823]
% A <->
% inverse(identity multiply inverse(identity multiply inverse(inverse(A))))
% Current number of equations to process: 495
% Current number of ordered equations: 5
% Current number of rules: 1697
% New rule produced :
% [1824]
% A <->
% inverse(inverse(identity multiply inverse(identity)) multiply inverse(A))
% Current number of equations to process: 495
% Current number of ordered equations: 4
% Current number of rules: 1698
% New rule produced :
% [1825]
% inverse(inverse(identity multiply inverse(identity multiply inverse(A)))) <->
% A
% Current number of equations to process: 495
% Current number of ordered equations: 3
% Current number of rules: 1699
% New rule produced :
% [1826]
% inverse(identity multiply inverse(inverse(identity multiply inverse(A)))) <->
% A
% Current number of equations to process: 495
% Current number of ordered equations: 2
% Current number of rules: 1700
% New rule produced :
% [1827]
% inverse(identity multiply inverse(identity multiply inverse(inverse(A)))) <->
% A
% Current number of equations to process: 495
% Current number of ordered equations: 1
% Current number of rules: 1701
% New rule produced :
% [1828]
% inverse(inverse(identity multiply inverse(identity)) multiply inverse(A)) <->
% A
% Current number of equations to process: 495
% Current number of ordered equations: 0
% Current number of rules: 1702
% New rule produced :
% [1829]
% A <->
% inverse(identity multiply (identity multiply inverse(inverse(inverse(A)))))
% Current number of equations to process: 491
% Current number of ordered equations: 5
% Current number of rules: 1703
% New rule produced :
% [1830]
% A <->
% inverse(inverse(A) multiply (identity multiply inverse(inverse(identity))))
% Current number of equations to process: 491
% Current number of ordered equations: 4
% Current number of rules: 1704
% New rule produced :
% [1831]
% A <->
% identity multiply inverse(inverse(inverse(identity multiply inverse(A))))
% Current number of equations to process: 491
% Current number of ordered equations: 3
% Current number of rules: 1705
% New rule produced :
% [1832]
% inverse(identity multiply (identity multiply inverse(inverse(inverse(A)))))
% <-> A
% Current number of equations to process: 491
% Current number of ordered equations: 2
% Current number of rules: 1706
% New rule produced :
% [1833]
% inverse(inverse(A) multiply (identity multiply inverse(inverse(identity))))
% <-> A
% Current number of equations to process: 491
% Current number of ordered equations: 1
% Current number of rules: 1707
% New rule produced :
% [1834]
% identity multiply inverse(inverse(inverse(identity multiply inverse(A)))) <->
% A
% Current number of equations to process: 491
% Current number of ordered equations: 0
% Current number of rules: 1708
% New rule produced :
% [1835]
% A <->
% identity multiply ((inverse(inverse(A)) double_divide B) double_divide B)
% Current number of equations to process: 487
% Current number of ordered equations: 7
% Current number of rules: 1709
% New rule produced :
% [1836]
% A <-> identity multiply inverse((inverse(A) double_divide B) double_divide B)
% Current number of equations to process: 487
% Current number of ordered equations: 6
% Current number of rules: 1710
% New rule produced :
% [1837]
% A <->
% inverse(inverse(A)) multiply ((identity double_divide B) double_divide B)
% Current number of equations to process: 487
% Current number of ordered equations: 5
% Current number of rules: 1711
% New rule produced :
% [1838]
% A <->
% ((identity multiply inverse(inverse(A))) double_divide B) double_divide B
% Current number of equations to process: 487
% Current number of ordered equations: 4
% Current number of rules: 1712
% New rule produced :
% [1839]
% identity multiply ((inverse(inverse(A)) double_divide B) double_divide B) <->
% A
% Current number of equations to process: 487
% Current number of ordered equations: 3
% Current number of rules: 1713
% New rule produced :
% [1840]
% identity multiply inverse((inverse(A) double_divide B) double_divide B) <-> A
% Current number of equations to process: 487
% Current number of ordered equations: 2
% Current number of rules: 1714
% New rule produced :
% [1841]
% inverse(inverse(A)) multiply ((identity double_divide B) double_divide B) <->
% A
% Current number of equations to process: 487
% Current number of ordered equations: 1
% Current number of rules: 1715
% New rule produced :
% [1842]
% ((identity multiply inverse(inverse(A))) double_divide B) double_divide B <->
% A
% Current number of equations to process: 487
% Current number of ordered equations: 0
% Current number of rules: 1716
% New rule produced :
% [1843] inverse(A) <-> identity multiply inverse(identity multiply A)
% Rule
% [859]
% inverse(identity) <-> identity multiply inverse(identity multiply identity)
% collapsed.
% Rule
% [1609]
% inverse(inverse(A)) <->
% inverse(identity multiply inverse(identity multiply A)) collapsed.
% Current number of equations to process: 534
% Current number of ordered equations: 1
% Current number of rules: 1715
% New rule produced :
% [1844] identity multiply inverse(identity multiply A) <-> inverse(A)
% Rule
% [860]
% identity multiply inverse(identity multiply identity) <-> inverse(identity)
% collapsed.
% Rule
% [1611]
% inverse(identity multiply inverse(identity multiply A)) <->
% inverse(inverse(A)) collapsed.
% Current number of equations to process: 534
% Current number of ordered equations: 0
% Current number of rules: 1714
% New rule produced :
% [1845]
% inverse(inverse(identity multiply A)) <-> identity double_divide inverse(A)
% Current number of equations to process: 533
% Current number of ordered equations: 1
% Current number of rules: 1715
% New rule produced :
% [1846]
% identity double_divide inverse(A) <-> inverse(inverse(identity multiply A))
% Current number of equations to process: 533
% Current number of ordered equations: 0
% Current number of rules: 1716
% New rule produced :
% [1847] A <-> identity multiply (inverse(identity) double_divide inverse(A))
% Current number of equations to process: 531
% Current number of ordered equations: 3
% Current number of rules: 1717
% New rule produced :
% [1848] A <-> identity multiply inverse(inverse(identity) double_divide A)
% Rule
% [1653]
% inverse(A) <->
% inverse(identity multiply inverse(inverse(identity) double_divide A))
% collapsed.
% Current number of equations to process: 531
% Current number of ordered equations: 2
% Current number of rules: 1717
% New rule produced :
% [1849] identity multiply (inverse(identity) double_divide inverse(A)) <-> A
% Current number of equations to process: 531
% Current number of ordered equations: 1
% Current number of rules: 1718
% New rule produced :
% [1850] identity multiply inverse(inverse(identity) double_divide A) <-> A
% Rule
% [1656]
% inverse(identity multiply inverse(inverse(identity) double_divide A)) <->
% inverse(A) collapsed.
% Current number of equations to process: 531
% Current number of ordered equations: 0
% Current number of rules: 1718
% New rule produced :
% [1851] identity <-> identity multiply inverse(inverse(A) multiply A)
% Rule
% [1661]
% inverse(identity) <->
% inverse(identity multiply inverse(inverse(A) multiply A)) collapsed.
% Current number of equations to process: 530
% Current number of ordered equations: 1
% Current number of rules: 1718
% New rule produced :
% [1852] identity multiply inverse(inverse(A) multiply A) <-> identity
% Rule
% [1663]
% inverse(identity multiply inverse(inverse(A) multiply A)) <->
% inverse(identity) collapsed.
% Current number of equations to process: 530
% Current number of ordered equations: 0
% Current number of rules: 1718
% New rule produced :
% [1853] A <-> inverse(inverse(identity multiply (identity multiply A)))
% Current number of equations to process: 529
% Current number of ordered equations: 1
% Current number of rules: 1719
% New rule produced :
% [1854] inverse(inverse(identity multiply (identity multiply A))) <-> A
% Current number of equations to process: 529
% Current number of ordered equations: 0
% Current number of rules: 1720
% New rule produced :
% [1855]
% identity <->
% inverse(inverse(identity multiply (identity double_divide identity)))
% Current number of equations to process: 528
% Current number of ordered equations: 1
% Current number of rules: 1721
% New rule produced :
% [1856]
% inverse(inverse(identity multiply (identity double_divide identity))) <->
% identity
% Current number of equations to process: 528
% Current number of ordered equations: 0
% Current number of rules: 1722
% New rule produced :
% [1857]
% inverse(inverse(identity multiply inverse(A))) <-> identity double_divide A
% Rule
% [1113]
% inverse(inverse(identity multiply inverse(identity))) <->
% identity double_divide identity collapsed.
% Current number of equations to process: 527
% Current number of ordered equations: 1
% Current number of rules: 1722
% New rule produced :
% [1858]
% identity double_divide A <-> inverse(inverse(identity multiply inverse(A)))
% Rule
% [1115]
% identity double_divide identity <->
% inverse(inverse(identity multiply inverse(identity))) collapsed.
% Current number of equations to process: 527
% Current number of ordered equations: 0
% Current number of rules: 1722
% New rule produced :
% [1859]
% inverse(inverse(identity multiply A)) <-> (A double_divide B) double_divide B
% Current number of equations to process: 526
% Current number of ordered equations: 1
% Current number of rules: 1723
% New rule produced :
% [1860]
% (A double_divide B) double_divide B <-> inverse(inverse(identity multiply A))
% Current number of equations to process: 526
% Current number of ordered equations: 0
% Current number of rules: 1724
% New rule produced :
% [1861]
% A <-> identity multiply (inverse(identity) multiply inverse(inverse(A)))
% Current number of equations to process: 529
% Current number of ordered equations: 7
% Current number of rules: 1725
% New rule produced :
% [1862] A <-> identity multiply inverse(inverse(identity) multiply inverse(A))
% Current number of equations to process: 529
% Current number of ordered equations: 6
% Current number of rules: 1726
% New rule produced :
% [1863]
% A <-> inverse(identity) multiply (identity multiply inverse(inverse(A)))
% Current number of equations to process: 529
% Current number of ordered equations: 5
% Current number of rules: 1727
% New rule produced :
% [1864]
% A <-> inverse(inverse(A)) multiply (identity multiply inverse(identity))
% Current number of equations to process: 529
% Current number of ordered equations: 4
% Current number of rules: 1728
% New rule produced :
% [1865]
% identity multiply (inverse(identity) multiply inverse(inverse(A))) <-> A
% Current number of equations to process: 529
% Current number of ordered equations: 3
% Current number of rules: 1729
% New rule produced :
% [1866] identity multiply inverse(inverse(identity) multiply inverse(A)) <-> A
% Current number of equations to process: 529
% Current number of ordered equations: 2
% Current number of rules: 1730
% New rule produced :
% [1867]
% inverse(identity) multiply (identity multiply inverse(inverse(A))) <-> A
% Current number of equations to process: 529
% Current number of ordered equations: 1
% Current number of rules: 1731
% New rule produced :
% [1868]
% inverse(inverse(A)) multiply (identity multiply inverse(identity)) <-> A
% Current number of equations to process: 529
% Current number of ordered equations: 0
% Current number of rules: 1732
% New rule produced :
% [1869]
% identity <->
% inverse(inverse(inverse(identity multiply (identity multiply identity))))
% Current number of equations to process: 528
% Current number of ordered equations: 1
% Current number of rules: 1733
% New rule produced :
% [1870]
% inverse(inverse(inverse(identity multiply (identity multiply identity)))) <->
% identity
% Current number of equations to process: 528
% Current number of ordered equations: 0
% Current number of rules: 1734
% New rule produced :
% [1871]
% A <-> inverse(inverse(inverse(identity multiply (identity double_divide A))))
% Current number of equations to process: 526
% Current number of ordered equations: 3
% Current number of rules: 1735
% New rule produced :
% [1872]
% A <-> inverse(inverse(inverse(identity multiply identity)) double_divide A)
% Current number of equations to process: 526
% Current number of ordered equations: 2
% Current number of rules: 1736
% New rule produced :
% [1873]
% inverse(inverse(inverse(identity multiply (identity double_divide A)))) <-> A
% Current number of equations to process: 526
% Current number of ordered equations: 1
% Current number of rules: 1737
% New rule produced :
% [1874]
% inverse(inverse(inverse(identity multiply identity)) double_divide A) <-> A
% Current number of equations to process: 526
% Current number of ordered equations: 0
% Current number of rules: 1738
% New rule produced :
% [1875]
% A <-> inverse(inverse(identity multiply (identity double_divide inverse(A))))
% Current number of equations to process: 524
% Current number of ordered equations: 3
% Current number of rules: 1739
% New rule produced :
% [1876]
% A <-> inverse(inverse(identity multiply identity)) double_divide inverse(A)
% Current number of equations to process: 524
% Current number of ordered equations: 2
% Current number of rules: 1740
% New rule produced :
% [1877]
% inverse(inverse(identity multiply (identity double_divide inverse(A)))) <-> A
% Current number of equations to process: 524
% Current number of ordered equations: 1
% Current number of rules: 1741
% New rule produced :
% [1878]
% inverse(inverse(identity multiply identity)) double_divide inverse(A) <-> A
% Current number of equations to process: 524
% Current number of ordered equations: 0
% Current number of rules: 1742
% New rule produced :
% [1879]
% identity <-> inverse(inverse(identity multiply (inverse(A) double_divide A)))
% Current number of equations to process: 522
% Current number of ordered equations: 3
% Current number of rules: 1743
% New rule produced :
% [1880]
% identity <-> inverse(inverse(identity multiply inverse(A))) double_divide A
% Current number of equations to process: 522
% Current number of ordered equations: 2
% Current number of rules: 1744
% New rule produced :
% [1881]
% inverse(inverse(identity multiply (inverse(A) double_divide A))) <-> identity
% Current number of equations to process: 522
% Current number of ordered equations: 1
% Current number of rules: 1745
% New rule produced :
% [1882]
% inverse(inverse(identity multiply inverse(A))) double_divide A <-> identity
% Current number of equations to process: 522
% Current number of ordered equations: 0
% Current number of rules: 1746
% New rule produced :
% [1883]
% A <->
% inverse(inverse(inverse(inverse(identity)))) multiply inverse(inverse(A))
% Current number of equations to process: 521
% Current number of ordered equations: 1
% Current number of rules: 1747
% New rule produced :
% [1884]
% inverse(inverse(inverse(inverse(identity)))) multiply inverse(inverse(A)) <->
% A
% Current number of equations to process: 521
% Current number of ordered equations: 0
% Current number of rules: 1748
% New rule produced :
% [1885]
% A <->
% identity multiply inverse(inverse(identity multiply inverse(inverse(A))))
% Current number of equations to process: 518
% Current number of ordered equations: 5
% Current number of rules: 1749
% New rule produced :
% [1886]
% A <->
% identity multiply inverse(identity multiply inverse(inverse(inverse(A))))
% Current number of equations to process: 518
% Current number of ordered equations: 4
% Current number of rules: 1750
% New rule produced :
% [1887]
% A <->
% inverse(inverse(A)) multiply inverse(identity multiply inverse(identity))
% Current number of equations to process: 518
% Current number of ordered equations: 3
% Current number of rules: 1751
% New rule produced :
% [1888]
% identity multiply inverse(inverse(identity multiply inverse(inverse(A)))) <->
% A
% Current number of equations to process: 518
% Current number of ordered equations: 2
% Current number of rules: 1752
% New rule produced :
% [1889]
% identity multiply inverse(identity multiply inverse(inverse(inverse(A)))) <->
% A
% Current number of equations to process: 518
% Current number of ordered equations: 1
% Current number of rules: 1753
% New rule produced :
% [1890]
% inverse(inverse(A)) multiply inverse(identity multiply inverse(identity)) <->
% A
% Current number of equations to process: 518
% Current number of ordered equations: 0
% Current number of rules: 1754
% New rule produced :
% [1891]
% A <->
% identity multiply (identity multiply inverse(inverse(inverse(inverse(A)))))
% Current number of equations to process: 514
% Current number of ordered equations: 3
% Current number of rules: 1755
% New rule produced :
% [1892]
% A <->
% inverse(inverse(A)) multiply (identity multiply inverse(inverse(identity)))
% Current number of equations to process: 514
% Current number of ordered equations: 2
% Current number of rules: 1756
% New rule produced :
% [1893]
% identity multiply (identity multiply inverse(inverse(inverse(inverse(A)))))
% <-> A
% Current number of equations to process: 514
% Current number of ordered equations: 1
% Current number of rules: 1757
% New rule produced :
% [1894]
% inverse(inverse(A)) multiply (identity multiply inverse(inverse(identity)))
% <-> A
% Current number of equations to process: 514
% Current number of ordered equations: 0
% Current number of rules: 1758
% New rule produced :
% [1895]
% inverse(inverse(inverse(identity multiply (A double_divide B)))) <->
% A multiply B
% Current number of equations to process: 513
% Current number of ordered equations: 1
% Current number of rules: 1759
% New rule produced :
% [1896]
% A multiply B <->
% inverse(inverse(inverse(identity multiply (A double_divide B))))
% Current number of equations to process: 513
% Current number of ordered equations: 0
% Current number of rules: 1760
% New rule produced :
% [1897]
% A <->
% inverse(inverse(identity multiply ((A double_divide B) double_divide B)))
% Current number of equations to process: 511
% Current number of ordered equations: 3
% Current number of rules: 1761
% New rule produced :
% [1898]
% A <-> inverse(inverse(identity multiply (A double_divide B))) double_divide B
% Current number of equations to process: 511
% Current number of ordered equations: 2
% Current number of rules: 1762
% New rule produced :
% [1899]
% inverse(inverse(identity multiply ((A double_divide B) double_divide B))) <->
% A
% Current number of equations to process: 511
% Current number of ordered equations: 1
% Current number of rules: 1763
% New rule produced :
% [1900]
% inverse(inverse(identity multiply (A double_divide B))) double_divide B <-> A
% Current number of equations to process: 511
% Current number of ordered equations: 0
% Current number of rules: 1764
% New rule produced :
% [1901]
% inverse(inverse(identity multiply (A multiply B))) <->
% identity double_divide (A double_divide B)
% Current number of equations to process: 510
% Current number of ordered equations: 1
% Current number of rules: 1765
% New rule produced :
% [1902]
% identity double_divide (A double_divide B) <->
% inverse(inverse(identity multiply (A multiply B)))
% Current number of equations to process: 510
% Current number of ordered equations: 0
% Current number of rules: 1766
% New rule produced :
% [1903]
% inverse(inverse(identity multiply inverse(B))) <->
% inverse(inverse(A) double_divide B) double_divide A
% Current number of equations to process: 509
% Current number of ordered equations: 1
% Current number of rules: 1767
% New rule produced :
% [1904]
% inverse(inverse(A) double_divide B) double_divide A <->
% inverse(inverse(identity multiply inverse(B)))
% Current number of equations to process: 509
% Current number of ordered equations: 0
% Current number of rules: 1768
% New rule produced :
% [1905] inverse(inverse(identity multiply A)) <-> inverse(identity) multiply A
% Current number of equations to process: 581
% Current number of ordered equations: 1
% Current number of rules: 1769
% New rule produced :
% [1906] inverse(identity) multiply A <-> inverse(inverse(identity multiply A))
% Current number of equations to process: 581
% Current number of ordered equations: 0
% Current number of rules: 1770
% New rule produced :
% [1907]
% inverse(identity double_divide A) <-> inverse(inverse(identity)) multiply A
% Current number of equations to process: 580
% Current number of ordered equations: 1
% Current number of rules: 1771
% New rule produced :
% [1908]
% inverse(inverse(identity)) multiply A <-> inverse(identity double_divide A)
% Current number of equations to process: 580
% Current number of ordered equations: 0
% Current number of rules: 1772
% New rule produced :
% [1909]
% identity double_divide inverse(A) <-> inverse(inverse(identity)) multiply A
% Current number of equations to process: 579
% Current number of ordered equations: 1
% Current number of rules: 1773
% New rule produced :
% [1910]
% inverse(inverse(identity)) multiply A <-> identity double_divide inverse(A)
% Current number of equations to process: 579
% Current number of ordered equations: 0
% Current number of rules: 1774
% New rule produced :
% [1911]
% inverse(inverse(inverse(identity multiply identity))) <->
% identity multiply identity
% Current number of equations to process: 578
% Current number of ordered equations: 1
% Current number of rules: 1775
% New rule produced :
% [1912]
% identity multiply identity <->
% inverse(inverse(inverse(identity multiply identity)))
% Current number of equations to process: 578
% Current number of ordered equations: 0
% Current number of rules: 1776
% New rule produced :
% [1913]
% inverse(inverse(identity multiply A)) <->
% identity multiply inverse(inverse(A))
% Current number of equations to process: 577
% Current number of ordered equations: 1
% Current number of rules: 1777
% New rule produced :
% [1914]
% identity multiply inverse(inverse(A)) <->
% inverse(inverse(identity multiply A))
% Current number of equations to process: 577
% Current number of ordered equations: 0
% Current number of rules: 1778
% New rule produced :
% [1915] A <-> inverse(inverse(identity)) multiply (identity multiply A)
% Current number of equations to process: 576
% Current number of ordered equations: 1
% Current number of rules: 1779
% New rule produced :
% [1916] inverse(inverse(identity)) multiply (identity multiply A) <-> A
% Current number of equations to process: 576
% Current number of ordered equations: 0
% Current number of rules: 1780
% New rule produced :
% [1917]
% identity double_divide A <-> inverse(inverse(identity)) multiply inverse(A)
% Current number of equations to process: 575
% Current number of ordered equations: 1
% Current number of rules: 1781
% New rule produced :
% [1918]
% inverse(inverse(identity)) multiply inverse(A) <-> identity double_divide A
% Current number of equations to process: 575
% Current number of ordered equations: 0
% Current number of rules: 1782
% New rule produced :
% [1919]
% inverse(inverse(identity)) multiply A <-> (A double_divide B) double_divide B
% Current number of equations to process: 574
% Current number of ordered equations: 1
% Current number of rules: 1783
% New rule produced :
% [1920]
% (A double_divide B) double_divide B <-> inverse(inverse(identity)) multiply A
% Current number of equations to process: 574
% Current number of ordered equations: 0
% Current number of rules: 1784
% New rule produced :
% [1921]
% inverse(inverse(identity multiply inverse(A))) <->
% inverse(identity) double_divide A
% Current number of equations to process: 573
% Current number of ordered equations: 1
% Current number of rules: 1785
% New rule produced :
% [1922]
% inverse(identity) double_divide A <->
% inverse(inverse(identity multiply inverse(A)))
% Current number of equations to process: 573
% Current number of ordered equations: 0
% Current number of rules: 1786
% New rule produced :
% [1923]
% inverse(inverse(inverse(identity multiply identity))) <->
% inverse(A) double_divide A
% Current number of equations to process: 572
% Current number of ordered equations: 1
% Current number of rules: 1787
% New rule produced :
% [1924]
% inverse(A) double_divide A <->
% inverse(inverse(inverse(identity multiply identity)))
% Current number of equations to process: 572
% Current number of ordered equations: 0
% Current number of rules: 1788
% New rule produced :
% [1925]
% inverse(inverse(inverse(identity multiply identity))) <->
% inverse(A) multiply A
% Current number of equations to process: 571
% Current number of ordered equations: 1
% Current number of rules: 1789
% New rule produced :
% [1926]
% inverse(A) multiply A <->
% inverse(inverse(inverse(identity multiply identity)))
% Current number of equations to process: 571
% Current number of ordered equations: 0
% Current number of rules: 1790
% New rule produced :
% [1927]
% inverse(A) <-> inverse(inverse(identity)) multiply (identity double_divide A)
% Current number of equations to process: 570
% Current number of ordered equations: 1
% Current number of rules: 1791
% New rule produced :
% [1928]
% inverse(inverse(identity)) multiply (identity double_divide A) <-> inverse(A)
% Current number of equations to process: 570
% Current number of ordered equations: 0
% Current number of rules: 1792
% New rule produced :
% [1929]
% inverse(inverse(inverse(identity multiply inverse(A)))) <->
% identity multiply A
% Current number of equations to process: 576
% Current number of ordered equations: 1
% Current number of rules: 1793
% New rule produced :
% [1930]
% identity multiply A <->
% inverse(inverse(inverse(identity multiply inverse(A))))
% Current number of equations to process: 576
% Current number of ordered equations: 0
% Current number of rules: 1794
% New rule produced :
% [1931]
% inverse(inverse(A)) <->
% inverse(inverse(identity multiply identity)) multiply A
% Current number of equations to process: 575
% Current number of ordered equations: 1
% Current number of rules: 1795
% New rule produced :
% [1932]
% inverse(inverse(identity multiply identity)) multiply A <->
% inverse(inverse(A))
% Current number of equations to process: 575
% Current number of ordered equations: 0
% Current number of rules: 1796
% New rule produced :
% [1933]
% inverse(inverse(identity)) <->
% identity double_divide inverse(inverse(identity multiply identity))
% Current number of equations to process: 574
% Current number of ordered equations: 1
% Current number of rules: 1797
% New rule produced :
% [1934]
% identity double_divide inverse(inverse(identity multiply identity)) <->
% inverse(inverse(identity))
% Current number of equations to process: 574
% Current number of ordered equations: 0
% Current number of rules: 1798
% New rule produced :
% [1935]
% inverse(inverse(identity multiply (identity multiply identity))) <->
% identity double_divide identity
% Current number of equations to process: 573
% Current number of ordered equations: 1
% Current number of rules: 1799
% New rule produced :
% [1936]
% identity double_divide identity <->
% inverse(inverse(identity multiply (identity multiply identity)))
% Current number of equations to process: 573
% Current number of ordered equations: 0
% Current number of rules: 1800
% New rule produced :
% [1937]
% inverse(inverse(identity multiply (identity double_divide identity))) <->
% identity multiply identity
% Current number of equations to process: 571
% Current number of ordered equations: 3
% Current number of rules: 1801
% New rule produced :
% [1938]
% identity multiply identity <->
% inverse(inverse(identity multiply (identity double_divide identity)))
% Current number of equations to process: 571
% Current number of ordered equations: 2
% Current number of rules: 1802
% New rule produced :
% [1939]
% identity multiply identity <->
% identity double_divide inverse(inverse(identity multiply identity))
% Current number of equations to process: 571
% Current number of ordered equations: 1
% Current number of rules: 1803
% New rule produced :
% [1940]
% identity double_divide inverse(inverse(identity multiply identity)) <->
% identity multiply identity
% Current number of equations to process: 571
% Current number of ordered equations: 0
% Current number of rules: 1804
% New rule produced :
% [1941]
% A <-> inverse(inverse(identity multiply (inverse(identity) multiply A)))
% Current number of equations to process: 569
% Current number of ordered equations: 3
% Current number of rules: 1805
% New rule produced :
% [1942] A <-> inverse(inverse(inverse(identity multiply identity))) multiply A
% Rule
% [1636]
% identity <->
% identity multiply inverse(inverse(inverse(identity multiply identity)))
% collapsed.
% Current number of equations to process: 569
% Current number of ordered equations: 2
% Current number of rules: 1805
% New rule produced :
% [1943]
% inverse(inverse(identity multiply (inverse(identity) multiply A))) <-> A
% Current number of equations to process: 569
% Current number of ordered equations: 1
% Current number of rules: 1806
% New rule produced :
% [1944] inverse(inverse(inverse(identity multiply identity))) multiply A <-> A
% Rule
% [1638]
% identity multiply inverse(inverse(inverse(identity multiply identity))) <->
% identity collapsed.
% Current number of equations to process: 569
% Current number of ordered equations: 0
% Current number of rules: 1806
% New rule produced :
% [1945]
% identity <->
% inverse(inverse(inverse(identity)) multiply (identity multiply identity))
% Current number of equations to process: 568
% Current number of ordered equations: 1
% Current number of rules: 1807
% New rule produced :
% [1946]
% inverse(inverse(inverse(identity)) multiply (identity multiply identity)) <->
% identity
% Current number of equations to process: 568
% Current number of ordered equations: 0
% Current number of rules: 1808
% New rule produced :
% [1947]
% A <-> inverse(inverse(inverse(identity)) multiply (identity double_divide A))
% Current number of equations to process: 566
% Current number of ordered equations: 3
% Current number of rules: 1809
% New rule produced :
% [1948]
% A <-> inverse(inverse(identity)) multiply inverse(identity double_divide A)
% Current number of equations to process: 566
% Current number of ordered equations: 2
% Current number of rules: 1810
% New rule produced :
% [1949]
% inverse(inverse(inverse(identity)) multiply (identity double_divide A)) <-> A
% Current number of equations to process: 566
% Current number of ordered equations: 1
% Current number of rules: 1811
% New rule produced :
% [1950]
% inverse(inverse(identity)) multiply inverse(identity double_divide A) <-> A
% Current number of equations to process: 566
% Current number of ordered equations: 0
% Current number of rules: 1812
% New rule produced :
% [1951]
% identity <->
% inverse(inverse(inverse(identity)) multiply inverse(inverse(identity)))
% Current number of equations to process: 565
% Current number of ordered equations: 1
% Current number of rules: 1813
% New rule produced :
% [1952]
% inverse(inverse(inverse(identity)) multiply inverse(inverse(identity))) <->
% identity
% Current number of equations to process: 565
% Current number of ordered equations: 0
% Current number of rules: 1814
% New rule produced :
% [1953]
% A <-> identity double_divide (inverse(inverse(identity)) multiply inverse(A))
% Current number of equations to process: 563
% Current number of ordered equations: 3
% Current number of rules: 1815
% New rule produced :
% [1954]
% A <-> inverse(inverse(identity)) multiply (identity double_divide inverse(A))
% Current number of equations to process: 563
% Current number of ordered equations: 2
% Current number of rules: 1816
% New rule produced :
% [1955]
% identity double_divide (inverse(inverse(identity)) multiply inverse(A)) <-> A
% Current number of equations to process: 563
% Current number of ordered equations: 1
% Current number of rules: 1817
% New rule produced :
% [1956]
% inverse(inverse(identity)) multiply (identity double_divide inverse(A)) <-> A
% Current number of equations to process: 563
% Current number of ordered equations: 0
% Current number of rules: 1818
% New rule produced :
% [1957]
% identity <-> (inverse(inverse(identity)) multiply inverse(A)) double_divide A
% Current number of equations to process: 562
% Current number of ordered equations: 1
% Current number of rules: 1819
% New rule produced :
% [1958]
% (inverse(inverse(identity)) multiply inverse(A)) double_divide A <-> identity
% Current number of equations to process: 562
% Current number of ordered equations: 0
% Current number of rules: 1820
% New rule produced :
% [1959]
% inverse(A) <->
% inverse(inverse(inverse(identity multiply identity))) double_divide A
% Current number of equations to process: 561
% Current number of ordered equations: 1
% Current number of rules: 1821
% New rule produced :
% [1960]
% inverse(inverse(inverse(identity multiply identity))) double_divide A <->
% inverse(A)
% Current number of equations to process: 561
% Current number of ordered equations: 0
% Current number of rules: 1822
% New rule produced :
% [1961]
% inverse(identity) <->
% inverse(inverse(identity multiply inverse(A))) double_divide A
% Current number of equations to process: 560
% Current number of ordered equations: 1
% Current number of rules: 1823
% New rule produced :
% [1962]
% inverse(inverse(identity multiply inverse(A))) double_divide A <->
% inverse(identity)
% Current number of equations to process: 560
% Current number of ordered equations: 0
% Current number of rules: 1824
% New rule produced :
% [1963]
% inverse(identity) <->
% inverse(inverse(identity multiply inverse(A))) multiply A
% Current number of equations to process: 559
% Current number of ordered equations: 1
% Current number of rules: 1825
% New rule produced :
% [1964]
% inverse(inverse(identity multiply inverse(A))) multiply A <->
% inverse(identity)
% Current number of equations to process: 559
% Current number of ordered equations: 0
% Current number of rules: 1826
% New rule produced :
% [1965]
% inverse(A double_divide B) <->
% inverse(inverse(identity)) multiply (A multiply B)
% Current number of equations to process: 558
% Current number of ordered equations: 1
% Current number of rules: 1827
% New rule produced :
% [1966]
% inverse(inverse(identity)) multiply (A multiply B) <->
% inverse(A double_divide B)
% Current number of equations to process: 558
% Current number of ordered equations: 0
% Current number of rules: 1828
% New rule produced :
% [1967]
% (eq)(A,inverse(inverse(identity multiply (identity multiply A)))) -> (true)
% Current number of equations to process: 556
% Current number of ordered equations: 1
% Current number of rules: 1829
% New rule produced :
% [1968]
% (eq)(A,inverse(inverse(identity multiply identity)) multiply A) -> (true)
% Current number of equations to process: 556
% Current number of ordered equations: 0
% Current number of rules: 1830
% New rule produced :
% [1969]
% (eq)(inverse(inverse(inverse(identity multiply inverse(A)))),A) -> (true)
% Current number of equations to process: 555
% Current number of ordered equations: 0
% Current number of rules: 1831
% New rule produced :
% [1970]
% A <->
% inverse(inverse(inverse(identity multiply (identity multiply inverse(A)))))
% Current number of equations to process: 553
% Current number of ordered equations: 3
% Current number of rules: 1832
% New rule produced :
% [1971]
% A <->
% inverse(inverse(inverse(identity multiply identity)) multiply inverse(A))
% Current number of equations to process: 553
% Current number of ordered equations: 2
% Current number of rules: 1833
% New rule produced :
% [1972]
% inverse(inverse(inverse(identity multiply (identity multiply inverse(A)))))
% <-> A
% Current number of equations to process: 553
% Current number of ordered equations: 1
% Current number of rules: 1834
% New rule produced :
% [1973]
% inverse(inverse(inverse(identity multiply identity)) multiply inverse(A)) <->
% A
% Current number of equations to process: 553
% Current number of ordered equations: 0
% Current number of rules: 1835
% New rule produced :
% [1974]
% A <->
% inverse(inverse(identity multiply (identity multiply inverse(inverse(A)))))
% Current number of equations to process: 551
% Current number of ordered equations: 3
% Current number of rules: 1836
% New rule produced :
% [1975]
% A <->
% inverse(inverse(identity multiply identity)) multiply inverse(inverse(A))
% Current number of equations to process: 551
% Current number of ordered equations: 2
% Current number of rules: 1837
% New rule produced :
% [1976]
% inverse(inverse(identity multiply (identity multiply inverse(inverse(A)))))
% <-> A
% Current number of equations to process: 551
% Current number of ordered equations: 1
% Current number of rules: 1838
% New rule produced :
% [1977]
% inverse(inverse(identity multiply identity)) multiply inverse(inverse(A)) <->
% A
% Current number of equations to process: 551
% Current number of ordered equations: 0
% Current number of rules: 1839
% New rule produced :
% [1978]
% inverse(inverse(inverse(identity)) multiply (A double_divide B)) <->
% A multiply B
% Current number of equations to process: 549
% Current number of ordered equations: 3
% Current number of rules: 1840
% New rule produced :
% [1979]
% A multiply B <->
% inverse(inverse(inverse(identity)) multiply (A double_divide B))
% Current number of equations to process: 549
% Current number of ordered equations: 2
% Current number of rules: 1841
% New rule produced :
% [1980]
% A multiply B <->
% inverse(inverse(identity)) multiply inverse(A double_divide B)
% Current number of equations to process: 549
% Current number of ordered equations: 1
% Current number of rules: 1842
% New rule produced :
% [1981]
% inverse(inverse(identity)) multiply inverse(A double_divide B) <->
% A multiply B
% Current number of equations to process: 549
% Current number of ordered equations: 0
% Current number of rules: 1843
% New rule produced :
% [1982]
% A <->
% inverse(inverse(identity)) multiply ((A double_divide B) double_divide B)
% Current number of equations to process: 547
% Current number of ordered equations: 3
% Current number of rules: 1844
% New rule produced :
% [1983]
% A <->
% (inverse(inverse(identity)) multiply (A double_divide B)) double_divide B
% Current number of equations to process: 547
% Current number of ordered equations: 2
% Current number of rules: 1845
% New rule produced :
% [1984]
% inverse(inverse(identity)) multiply ((A double_divide B) double_divide B) <->
% A
% Current number of equations to process: 547
% Current number of ordered equations: 1
% Current number of rules: 1846
% New rule produced :
% [1985]
% (inverse(inverse(identity)) multiply (A double_divide B)) double_divide B <->
% A
% Current number of equations to process: 547
% Current number of ordered equations: 0
% Current number of rules: 1847
% New rule produced :
% [1986]
% identity double_divide (A double_divide B) <->
% inverse(inverse(identity)) multiply (A multiply B)
% Current number of equations to process: 546
% Current number of ordered equations: 1
% Current number of rules: 1848
% New rule produced :
% [1987]
% inverse(inverse(identity)) multiply (A multiply B) <->
% identity double_divide (A double_divide B)
% Current number of equations to process: 546
% Current number of ordered equations: 0
% Current number of rules: 1849
% New rule produced :
% [1988]
% inverse(inverse(identity)) multiply inverse(B) <->
% inverse(inverse(A) double_divide B) double_divide A
% Current number of equations to process: 545
% Current number of ordered equations: 1
% Current number of rules: 1850
% New rule produced :
% [1989]
% inverse(inverse(A) double_divide B) double_divide A <->
% inverse(inverse(identity)) multiply inverse(B)
% Current number of equations to process: 545
% Current number of ordered equations: 0
% Current number of rules: 1851
% New rule produced :
% [1990] identity <-> inverse(identity multiply A) double_divide A
% Current number of equations to process: 611
% Current number of ordered equations: 1
% Current number of rules: 1852
% New rule produced :
% [1991] inverse(identity multiply A) double_divide A <-> identity
% Current number of equations to process: 611
% Current number of ordered equations: 0
% Current number of rules: 1853
% New rule produced :
% [1992]
% inverse(inverse(inverse(inverse(A)))) <->
% inverse(inverse(identity)) multiply A
% Current number of equations to process: 613
% Current number of ordered equations: 1
% Current number of rules: 1854
% New rule produced :
% [1993]
% inverse(inverse(identity)) multiply A <->
% inverse(inverse(inverse(inverse(A))))
% Current number of equations to process: 613
% Current number of ordered equations: 0
% Current number of rules: 1855
% New rule produced :
% [1994]
% inverse(identity multiply inverse(A)) <->
% inverse(inverse(identity)) multiply A
% Current number of equations to process: 612
% Current number of ordered equations: 1
% Current number of rules: 1856
% New rule produced :
% [1995]
% inverse(inverse(identity)) multiply A <->
% inverse(identity multiply inverse(A))
% Current number of equations to process: 612
% Current number of ordered equations: 0
% Current number of rules: 1857
% New rule produced :
% [1996]
% identity multiply inverse(inverse(A)) <->
% inverse(inverse(identity)) multiply A
% Current number of equations to process: 611
% Current number of ordered equations: 1
% Current number of rules: 1858
% New rule produced :
% [1997]
% inverse(inverse(identity)) multiply A <->
% identity multiply inverse(inverse(A))
% Current number of equations to process: 611
% Current number of ordered equations: 0
% Current number of rules: 1859
% New rule produced :
% [1998]
% inverse(inverse(identity multiply A)) <->
% inverse(inverse(identity)) multiply A
% Current number of equations to process: 610
% Current number of ordered equations: 1
% Current number of rules: 1860
% New rule produced :
% [1999]
% inverse(inverse(identity)) multiply A <->
% inverse(inverse(identity multiply A))
% Current number of equations to process: 610
% Current number of ordered equations: 0
% Current number of rules: 1861
% New rule produced :
% [2000] A <-> inverse(inverse(inverse(inverse(identity)) multiply A))
% Current number of equations to process: 609
% Current number of ordered equations: 1
% Current number of rules: 1862
% New rule produced :
% [2001] inverse(inverse(inverse(inverse(identity)) multiply A)) <-> A
% Current number of equations to process: 609
% Current number of ordered equations: 0
% Current number of rules: 1863
% New rule produced :
% [2002] A <-> inverse(inverse((identity multiply identity) multiply A))
% Current number of equations to process: 608
% Current number of ordered equations: 1
% Current number of rules: 1864
% New rule produced :
% [2003] inverse(inverse((identity multiply identity) multiply A)) <-> A
% Current number of equations to process: 608
% Current number of ordered equations: 0
% Current number of rules: 1865
% New rule produced :
% [2004] A <-> inverse(inverse((identity double_divide identity) multiply A))
% Rule
% [1855]
% identity <->
% inverse(inverse(identity multiply (identity double_divide identity)))
% collapsed.
% Current number of equations to process: 607
% Current number of ordered equations: 1
% Current number of rules: 1865
% New rule produced :
% [2005] inverse(inverse((identity double_divide identity) multiply A)) <-> A
% Rule
% [1856]
% inverse(inverse(identity multiply (identity double_divide identity))) <->
% identity collapsed.
% Current number of equations to process: 607
% Current number of ordered equations: 0
% Current number of rules: 1865
% New rule produced :
% [2006] (eq)(A,identity multiply (identity multiply A)) -> (true)
% Rule
% [1198]
% (eq)(identity,identity multiply (identity multiply identity)) -> (true)
% collapsed.
% Rule
% [1766]
% (eq)(inverse(A),identity multiply (identity multiply inverse(A))) -> (true)
% collapsed.
% Current number of equations to process: 606
% Current number of ordered equations: 0
% Current number of rules: 1864
% New rule produced :
% [2007]
% inverse(identity) <->
% inverse(inverse(identity)) multiply (identity multiply identity)
% Current number of equations to process: 605
% Current number of ordered equations: 1
% Current number of rules: 1865
% New rule produced :
% [2008]
% inverse(inverse(identity)) multiply (identity multiply identity) <->
% inverse(identity)
% Current number of equations to process: 605
% Current number of ordered equations: 0
% Current number of rules: 1866
% New rule produced :
% [2009]
% inverse(identity) double_divide A <->
% inverse(inverse(identity)) multiply inverse(A)
% Current number of equations to process: 604
% Current number of ordered equations: 1
% Current number of rules: 1867
% New rule produced :
% [2010]
% inverse(inverse(identity)) multiply inverse(A) <->
% inverse(identity) double_divide A
% Current number of equations to process: 604
% Current number of ordered equations: 0
% Current number of rules: 1868
% New rule produced :
% [2011]
% inverse(inverse(inverse(identity)) multiply inverse(A)) <->
% identity multiply A
% Current number of equations to process: 607
% Current number of ordered equations: 3
% Current number of rules: 1869
% New rule produced :
% [2012]
% identity multiply A <->
% inverse(inverse(inverse(identity)) multiply inverse(A))
% Current number of equations to process: 607
% Current number of ordered equations: 2
% Current number of rules: 1870
% New rule produced :
% [2013]
% identity multiply A <->
% inverse(inverse(identity)) multiply inverse(inverse(A))
% Current number of equations to process: 607
% Current number of ordered equations: 1
% Current number of rules: 1871
% New rule produced :
% [2014]
% inverse(inverse(identity)) multiply inverse(inverse(A)) <->
% identity multiply A
% Current number of equations to process: 607
% Current number of ordered equations: 0
% Current number of rules: 1872
% New rule produced :
% [2015]
% inverse(inverse(A)) <->
% inverse(inverse(identity)) multiply (identity multiply A)
% Current number of equations to process: 606
% Current number of ordered equations: 1
% Current number of rules: 1873
% New rule produced :
% [2016]
% inverse(inverse(identity)) multiply (identity multiply A) <->
% inverse(inverse(A))
% Current number of equations to process: 606
% Current number of ordered equations: 0
% Current number of rules: 1874
% New rule produced :
% [2017]
% identity double_divide identity <->
% inverse(inverse(identity)) multiply inverse(inverse(identity))
% Current number of equations to process: 605
% Current number of ordered equations: 1
% Current number of rules: 1875
% New rule produced :
% [2018]
% inverse(inverse(identity)) multiply inverse(inverse(identity)) <->
% identity double_divide identity
% Current number of equations to process: 605
% Current number of ordered equations: 0
% Current number of rules: 1876
% New rule produced :
% [2019]
% identity double_divide identity <->
% inverse(inverse(identity)) multiply (identity multiply identity)
% Current number of equations to process: 604
% Current number of ordered equations: 1
% Current number of rules: 1877
% New rule produced :
% [2020]
% inverse(inverse(identity)) multiply (identity multiply identity) <->
% identity double_divide identity
% Current number of equations to process: 604
% Current number of ordered equations: 0
% Current number of rules: 1878
% New rule produced :
% [2021]
% identity multiply identity <->
% inverse(inverse(identity)) multiply (identity double_divide identity)
% Current number of equations to process: 603
% Current number of ordered equations: 1
% Current number of rules: 1879
% New rule produced :
% [2022]
% inverse(inverse(identity)) multiply (identity double_divide identity) <->
% identity multiply identity
% Current number of equations to process: 603
% Current number of ordered equations: 0
% Current number of rules: 1880
% New rule produced :
% [2023]
% A <-> inverse(inverse(identity)) multiply (inverse(identity) multiply A)
% Current number of equations to process: 602
% Current number of ordered equations: 1
% Current number of rules: 1881
% New rule produced :
% [2024]
% inverse(inverse(identity)) multiply (inverse(identity) multiply A) <-> A
% Current number of equations to process: 602
% Current number of ordered equations: 0
% Current number of rules: 1882
% New rule produced :
% [2025] A <-> inverse(inverse(inverse(identity multiply identity) multiply A))
% Rule
% [1525]
% identity <->
% inverse(inverse(identity multiply inverse(identity multiply identity)))
% collapsed.
% Current number of equations to process: 601
% Current number of ordered equations: 1
% Current number of rules: 1882
% New rule produced :
% [2026] inverse(inverse(inverse(identity multiply identity) multiply A)) <-> A
% Rule
% [1528]
% inverse(inverse(identity multiply inverse(identity multiply identity))) <->
% identity collapsed.
% Current number of equations to process: 601
% Current number of ordered equations: 0
% Current number of rules: 1882
% New rule produced :
% [2027]
% A <-> inverse(inverse(inverse(identity double_divide (identity multiply A))))
% Current number of equations to process: 599
% Current number of ordered equations: 3
% Current number of rules: 1883
% New rule produced :
% [2028]
% A <-> inverse(inverse(inverse(identity double_divide identity) multiply A))
% Current number of equations to process: 599
% Current number of ordered equations: 2
% Current number of rules: 1884
% New rule produced :
% [2029]
% inverse(inverse(inverse(identity double_divide (identity multiply A)))) <-> A
% Current number of equations to process: 599
% Current number of ordered equations: 1
% Current number of rules: 1885
% New rule produced :
% [2030]
% inverse(inverse(inverse(identity double_divide identity) multiply A)) <-> A
% Current number of equations to process: 599
% Current number of ordered equations: 0
% Current number of rules: 1886
% New rule produced :
% [2031]
% A <-> inverse(inverse(identity double_divide inverse(identity multiply A)))
% Current number of equations to process: 595
% Current number of ordered equations: 7
% Current number of rules: 1887
% New rule produced :
% [2032]
% A <-> inverse(identity double_divide inverse(inverse(identity multiply A)))
% Current number of equations to process: 595
% Current number of ordered equations: 6
% Current number of rules: 1888
% New rule produced :
% [2033]
% A <-> inverse(inverse((identity double_divide inverse(identity)) multiply A))
% Current number of equations to process: 595
% Current number of ordered equations: 5
% Current number of rules: 1889
% New rule produced :
% [2034]
% A <-> identity double_divide inverse(inverse(inverse(identity multiply A)))
% Current number of equations to process: 595
% Current number of ordered equations: 4
% Current number of rules: 1890
% New rule produced :
% [2035]
% inverse(inverse(identity double_divide inverse(identity multiply A))) <-> A
% Current number of equations to process: 595
% Current number of ordered equations: 3
% Current number of rules: 1891
% New rule produced :
% [2036]
% inverse(identity double_divide inverse(inverse(identity multiply A))) <-> A
% Current number of equations to process: 595
% Current number of ordered equations: 2
% Current number of rules: 1892
% New rule produced :
% [2037]
% inverse(inverse((identity double_divide inverse(identity)) multiply A)) <-> A
% Current number of equations to process: 595
% Current number of ordered equations: 1
% Current number of rules: 1893
% New rule produced :
% [2038]
% identity double_divide inverse(inverse(inverse(identity multiply A))) <-> A
% Current number of equations to process: 595
% Current number of ordered equations: 0
% Current number of rules: 1894
% New rule produced :
% [2039] A <-> inverse(inverse(inverse(inverse(inverse(identity))) multiply A))
% Rule
% [1535]
% identity <->
% inverse(inverse(identity multiply inverse(inverse(inverse(identity)))))
% collapsed.
% Current number of equations to process: 594
% Current number of ordered equations: 1
% Current number of rules: 1894
% New rule produced :
% [2040] inverse(inverse(inverse(inverse(inverse(identity))) multiply A)) <-> A
% Rule
% [1537]
% inverse(inverse(identity multiply inverse(inverse(inverse(identity))))) <->
% identity collapsed.
% Current number of equations to process: 594
% Current number of ordered equations: 0
% Current number of rules: 1894
% New rule produced :
% [2041] B <-> inverse(inverse((inverse(A) double_divide A) multiply B))
% Rule
% [1879]
% identity <-> inverse(inverse(identity multiply (inverse(A) double_divide A)))
% collapsed.
% Rule
% [2033]
% A <-> inverse(inverse((identity double_divide inverse(identity)) multiply A))
% collapsed.
% Current number of equations to process: 593
% Current number of ordered equations: 1
% Current number of rules: 1893
% New rule produced :
% [2042] inverse(inverse((inverse(A) double_divide A) multiply B)) <-> B
% Rule
% [1881]
% inverse(inverse(identity multiply (inverse(A) double_divide A))) <-> identity
% collapsed.
% Rule
% [2037]
% inverse(inverse((identity double_divide inverse(identity)) multiply A)) <-> A
% collapsed.
% Current number of equations to process: 593
% Current number of ordered equations: 0
% Current number of rules: 1892
% New rule produced :
% [2043]
% inverse(A) <->
% inverse(inverse(identity)) multiply (inverse(identity) double_divide A)
% Current number of equations to process: 592
% Current number of ordered equations: 1
% Current number of rules: 1893
% New rule produced :
% [2044]
% inverse(inverse(identity)) multiply (inverse(identity) double_divide A) <->
% inverse(A)
% Current number of equations to process: 592
% Current number of ordered equations: 0
% Current number of rules: 1894
% New rule produced :
% [2045]
% inverse(identity) <->
% inverse(inverse(identity)) multiply (inverse(A) double_divide A)
% Current number of equations to process: 590
% Current number of ordered equations: 3
% Current number of rules: 1895
% New rule produced :
% [2046]
% inverse(identity) <->
% (inverse(inverse(identity)) multiply inverse(A)) double_divide A
% Current number of equations to process: 590
% Current number of ordered equations: 2
% Current number of rules: 1896
% New rule produced :
% [2047]
% inverse(inverse(identity)) multiply (inverse(A) double_divide A) <->
% inverse(identity)
% Current number of equations to process: 590
% Current number of ordered equations: 1
% Current number of rules: 1897
% New rule produced :
% [2048]
% (inverse(inverse(identity)) multiply inverse(A)) double_divide A <->
% inverse(identity)
% Current number of equations to process: 590
% Current number of ordered equations: 0
% Current number of rules: 1898
% New rule produced :
% [2049]
% inverse(identity) <->
% inverse(inverse(identity)) multiply (inverse(A) multiply A)
% Current number of equations to process: 588
% Current number of ordered equations: 3
% Current number of rules: 1899
% New rule produced :
% [2050]
% inverse(identity) <->
% (inverse(inverse(identity)) multiply inverse(A)) multiply A
% Current number of equations to process: 588
% Current number of ordered equations: 2
% Current number of rules: 1900
% New rule produced :
% [2051]
% inverse(inverse(identity)) multiply (inverse(A) multiply A) <->
% inverse(identity)
% Current number of equations to process: 588
% Current number of ordered equations: 1
% Current number of rules: 1901
% New rule produced :
% [2052]
% (inverse(inverse(identity)) multiply inverse(A)) multiply A <->
% inverse(identity)
% Current number of equations to process: 588
% Current number of ordered equations: 0
% Current number of rules: 1902
% New rule produced :
% [2053]
% (eq)(A,inverse(inverse(identity)) multiply (identity multiply A)) -> (true)
% Current number of equations to process: 587
% Current number of ordered equations: 0
% Current number of rules: 1903
% New rule produced :
% [2054]
% (eq)(inverse(inverse(identity)) multiply inverse(inverse(A)),A) -> (true)
% Current number of equations to process: 585
% Current number of ordered equations: 1
% Current number of rules: 1904
% New rule produced :
% [2055]
% (eq)(inverse(inverse(inverse(identity)) multiply inverse(A)),A) -> (true)
% Current number of equations to process: 585
% Current number of ordered equations: 0
% Current number of rules: 1905
% New rule produced :
% [2056]
% A <->
% inverse(inverse(inverse(identity)) multiply inverse(inverse(inverse(A))))
% Current number of equations to process: 581
% Current number of ordered equations: 7
% Current number of rules: 1906
% New rule produced :
% [2057]
% A <->
% inverse(inverse(inverse(inverse(inverse(identity)) multiply inverse(A))))
% Current number of equations to process: 581
% Current number of ordered equations: 6
% Current number of rules: 1907
% New rule produced :
% [2058]
% A <->
% inverse(inverse(inverse(inverse(identity)) multiply inverse(inverse(A))))
% Current number of equations to process: 581
% Current number of ordered equations: 5
% Current number of rules: 1908
% New rule produced :
% [2059]
% A <->
% inverse(inverse(identity)) multiply inverse(inverse(inverse(inverse(A))))
% Current number of equations to process: 581
% Current number of ordered equations: 4
% Current number of rules: 1909
% New rule produced :
% [2060]
% inverse(inverse(inverse(identity)) multiply inverse(inverse(inverse(A)))) <->
% A
% Current number of equations to process: 581
% Current number of ordered equations: 3
% Current number of rules: 1910
% New rule produced :
% [2061]
% inverse(inverse(inverse(inverse(inverse(identity)) multiply inverse(A)))) <->
% A
% Current number of equations to process: 581
% Current number of ordered equations: 2
% Current number of rules: 1911
% New rule produced :
% [2062]
% inverse(inverse(inverse(inverse(identity)) multiply inverse(inverse(A)))) <->
% A
% Current number of equations to process: 581
% Current number of ordered equations: 1
% Current number of rules: 1912
% New rule produced :
% [2063]
% inverse(inverse(identity)) multiply inverse(inverse(inverse(inverse(A)))) <->
% A
% Current number of equations to process: 581
% Current number of ordered equations: 0
% Current number of rules: 1913
% New rule produced :
% [2064]
% A <->
% inverse(inverse(inverse(identity)) multiply (identity multiply inverse(A)))
% Current number of equations to process: 578
% Current number of ordered equations: 5
% Current number of rules: 1914
% New rule produced :
% [2065]
% A <->
% inverse(identity multiply (inverse(inverse(identity)) multiply inverse(A)))
% Current number of equations to process: 578
% Current number of ordered equations: 4
% Current number of rules: 1915
% New rule produced :
% [2066]
% A <->
% inverse(inverse(identity)) multiply inverse(identity multiply inverse(A))
% Current number of equations to process: 578
% Current number of ordered equations: 3
% Current number of rules: 1916
% New rule produced :
% [2067]
% inverse(inverse(inverse(identity)) multiply (identity multiply inverse(A)))
% <-> A
% Current number of equations to process: 578
% Current number of ordered equations: 2
% Current number of rules: 1917
% New rule produced :
% [2068]
% inverse(identity multiply (inverse(inverse(identity)) multiply inverse(A)))
% <-> A
% Current number of equations to process: 578
% Current number of ordered equations: 1
% Current number of rules: 1918
% New rule produced :
% [2069]
% inverse(inverse(identity)) multiply inverse(identity multiply inverse(A)) <->
% A
% Current number of equations to process: 578
% Current number of ordered equations: 0
% Current number of rules: 1919
% New rule produced :
% [2070]
% A <->
% identity multiply (inverse(inverse(identity)) multiply inverse(inverse(A)))
% Current number of equations to process: 575
% Current number of ordered equations: 5
% Current number of rules: 1920
% New rule produced :
% [2071]
% A <->
% identity multiply inverse(inverse(inverse(identity)) multiply inverse(A))
% Current number of equations to process: 575
% Current number of ordered equations: 4
% Current number of rules: 1921
% New rule produced :
% [2072]
% A <->
% inverse(inverse(identity)) multiply (identity multiply inverse(inverse(A)))
% Current number of equations to process: 575
% Current number of ordered equations: 3
% Current number of rules: 1922
% New rule produced :
% [2073]
% identity multiply (inverse(inverse(identity)) multiply inverse(inverse(A)))
% <-> A
% Current number of equations to process: 575
% Current number of ordered equations: 2
% Current number of rules: 1923
% New rule produced :
% [2074]
% identity multiply inverse(inverse(inverse(identity)) multiply inverse(A)) <->
% A
% Current number of equations to process: 575
% Current number of ordered equations: 1
% Current number of rules: 1924
% New rule produced :
% [2075]
% inverse(inverse(identity)) multiply (identity multiply inverse(inverse(A)))
% <-> A
% Current number of equations to process: 575
% Current number of ordered equations: 0
% Current number of rules: 1925
% New rule produced :
% [2076]
% (eq)(inverse(A),identity multiply inverse(identity multiply A)) -> (true)
% Rule
% [882]
% (eq)(inverse(identity),identity multiply inverse(identity multiply identity))
% -> (true) collapsed.
% Current number of equations to process: 574
% Current number of ordered equations: 0
% Current number of rules: 1925
% New rule produced :
% [2077]
% A <->
% inverse(inverse(((identity multiply A) double_divide B) double_divide B))
% Current number of equations to process: 570
% Current number of ordered equations: 7
% Current number of rules: 1926
% New rule produced :
% [2078]
% A <-> inverse((inverse(identity multiply A) double_divide B) double_divide B)
% Current number of equations to process: 570
% Current number of ordered equations: 6
% Current number of rules: 1927
% New rule produced :
% [2079]
% A <-> (inverse(inverse(identity multiply A)) double_divide B) double_divide B
% Current number of equations to process: 570
% Current number of ordered equations: 5
% Current number of rules: 1928
% New rule produced :
% [2080]
% B <->
% inverse(inverse(((identity double_divide A) double_divide A) multiply B))
% Current number of equations to process: 570
% Current number of ordered equations: 4
% Current number of rules: 1929
% New rule produced :
% [2081]
% inverse(inverse(((identity multiply A) double_divide B) double_divide B)) <->
% A
% Current number of equations to process: 570
% Current number of ordered equations: 3
% Current number of rules: 1930
% New rule produced :
% [2082]
% inverse(inverse(((identity double_divide A) double_divide A) multiply B)) <->
% B
% Current number of equations to process: 570
% Current number of ordered equations: 2
% Current number of rules: 1931
% New rule produced :
% [2083]
% inverse((inverse(identity multiply A) double_divide B) double_divide B) <-> A
% Current number of equations to process: 570
% Current number of ordered equations: 1
% Current number of rules: 1932
% New rule produced :
% [2084]
% (inverse(inverse(identity multiply A)) double_divide B) double_divide B <-> A
% Current number of equations to process: 570
% Current number of ordered equations: 0
% Current number of rules: 1933
% New rule produced :
% [2085]
% inverse(B) <->
% inverse(identity multiply A) double_divide inverse(A double_divide B)
% Current number of equations to process: 569
% Current number of ordered equations: 1
% Current number of rules: 1934
% New rule produced :
% [2086]
% inverse(identity multiply A) double_divide inverse(A double_divide B) <->
% inverse(B)
% Current number of equations to process: 569
% Current number of ordered equations: 0
% Current number of rules: 1935
% New rule produced :
% [2087] inverse(identity) <-> inverse(identity multiply A) double_divide A
% Current number of equations to process: 616
% Current number of ordered equations: 1
% Current number of rules: 1936
% New rule produced :
% [2088] inverse(identity multiply A) double_divide A <-> inverse(identity)
% Current number of equations to process: 616
% Current number of ordered equations: 0
% Current number of rules: 1937
% New rule produced :
% [2089] inverse(identity) <-> inverse(identity multiply A) multiply A
% Current number of equations to process: 615
% Current number of ordered equations: 1
% Current number of rules: 1938
% New rule produced :
% [2090] inverse(identity multiply A) multiply A <-> inverse(identity)
% Current number of equations to process: 615
% Current number of ordered equations: 0
% Current number of rules: 1939
% New rule produced :
% [2091] (eq)(inverse(A),inverse(identity multiply A)) -> (true)
% Current number of equations to process: 614
% Current number of ordered equations: 0
% Current number of rules: 1940
% New rule produced :
% [2092] A <-> inverse(inverse(identity) double_divide (identity multiply A))
% Current number of equations to process: 612
% Current number of ordered equations: 3
% Current number of rules: 1941
% New rule produced :
% [2093] A <-> inverse(identity) double_divide inverse(identity multiply A)
% Current number of equations to process: 612
% Current number of ordered equations: 2
% Current number of rules: 1942
% New rule produced :
% [2094] inverse(inverse(identity) double_divide (identity multiply A)) <-> A
% Current number of equations to process: 612
% Current number of ordered equations: 1
% Current number of rules: 1943
% New rule produced :
% [2095] inverse(identity) double_divide inverse(identity multiply A) <-> A
% Current number of equations to process: 612
% Current number of ordered equations: 0
% Current number of rules: 1944
% New rule produced :
% [2096] A <-> identity multiply (inverse(inverse(identity)) multiply A)
% Current number of equations to process: 611
% Current number of ordered equations: 1
% Current number of rules: 1945
% New rule produced :
% [2097] identity multiply (inverse(inverse(identity)) multiply A) <-> A
% Current number of equations to process: 611
% Current number of ordered equations: 0
% Current number of rules: 1946
% New rule produced :
% [2098]
% A <-> identity double_divide (inverse(inverse(identity)) double_divide A)
% Current number of equations to process: 610
% Current number of ordered equations: 1
% Current number of rules: 1947
% New rule produced :
% [2099]
% identity double_divide (inverse(inverse(identity)) double_divide A) <-> A
% Current number of equations to process: 610
% Current number of ordered equations: 0
% Current number of rules: 1948
% New rule produced :
% [2100] A <-> inverse(inverse(identity) multiply inverse(identity multiply A))
% Current number of equations to process: 610
% Current number of ordered equations: 7
% Current number of rules: 1949
% New rule produced :
% [2101]
% A <-> inverse(inverse(inverse(identity) multiply (identity multiply A)))
% Current number of equations to process: 610
% Current number of ordered equations: 6
% Current number of rules: 1950
% New rule produced :
% [2102]
% A <-> inverse(inverse((identity multiply inverse(identity)) multiply A))
% Current number of equations to process: 610
% Current number of ordered equations: 5
% Current number of rules: 1951
% New rule produced :
% [2103] A <-> inverse(identity) multiply inverse(inverse(identity multiply A))
% Current number of equations to process: 610
% Current number of ordered equations: 4
% Current number of rules: 1952
% New rule produced :
% [2104] inverse(inverse(identity) multiply inverse(identity multiply A)) <-> A
% Current number of equations to process: 610
% Current number of ordered equations: 3
% Current number of rules: 1953
% New rule produced :
% [2105]
% inverse(inverse(inverse(identity) multiply (identity multiply A))) <-> A
% Current number of equations to process: 610
% Current number of ordered equations: 2
% Current number of rules: 1954
% New rule produced :
% [2106]
% inverse(inverse((identity multiply inverse(identity)) multiply A)) <-> A
% Current number of equations to process: 610
% Current number of ordered equations: 1
% Current number of rules: 1955
% New rule produced :
% [2107] inverse(identity) multiply inverse(inverse(identity multiply A)) <-> A
% Current number of equations to process: 610
% Current number of ordered equations: 0
% Current number of rules: 1956
% New rule produced :
% [2108]
% A <-> inverse(identity double_divide (inverse(inverse(identity)) multiply A))
% Current number of equations to process: 606
% Current number of ordered equations: 7
% Current number of rules: 1957
% New rule produced :
% [2109]
% A <-> inverse(identity double_divide inverse(inverse(identity))) multiply A
% Current number of equations to process: 606
% Current number of ordered equations: 6
% Current number of rules: 1958
% New rule produced :
% [2110]
% A <-> inverse(inverse(inverse(identity double_divide identity))) multiply A
% Current number of equations to process: 606
% Current number of ordered equations: 5
% Current number of rules: 1959
% New rule produced :
% [2111]
% A <-> inverse(inverse(identity double_divide inverse(identity))) multiply A
% Current number of equations to process: 606
% Current number of ordered equations: 4
% Current number of rules: 1960
% New rule produced :
% [2112]
% inverse(identity double_divide (inverse(inverse(identity)) multiply A)) <-> A
% Current number of equations to process: 606
% Current number of ordered equations: 3
% Current number of rules: 1961
% New rule produced :
% [2113]
% inverse(identity double_divide inverse(inverse(identity))) multiply A <-> A
% Current number of equations to process: 606
% Current number of ordered equations: 2
% Current number of rules: 1962
% New rule produced :
% [2114]
% inverse(inverse(inverse(identity double_divide identity))) multiply A <-> A
% Current number of equations to process: 606
% Current number of ordered equations: 1
% Current number of rules: 1963
% New rule produced :
% [2115]
% inverse(inverse(identity double_divide inverse(identity))) multiply A <-> A
% Current number of equations to process: 606
% Current number of ordered equations: 0
% Current number of rules: 1964
% New rule produced :
% [2116]
% A <-> identity double_divide inverse(inverse(inverse(identity)) multiply A)
% Current number of equations to process: 602
% Current number of ordered equations: 3
% Current number of rules: 1965
% New rule produced :
% [2117]
% A <-> (identity double_divide inverse(inverse(inverse(identity)))) multiply A
% Current number of equations to process: 602
% Current number of ordered equations: 2
% Current number of rules: 1966
% New rule produced :
% [2118]
% identity double_divide inverse(inverse(inverse(identity)) multiply A) <-> A
% Current number of equations to process: 602
% Current number of ordered equations: 1
% Current number of rules: 1967
% New rule produced :
% [2119]
% (identity double_divide inverse(inverse(inverse(identity)))) multiply A <-> A
% Current number of equations to process: 602
% Current number of ordered equations: 0
% Current number of rules: 1968
% New rule produced :
% [2120] B <-> inverse(inverse(inverse(A) double_divide A)) multiply B
% Rule
% [1649]
% identity <-> identity multiply inverse(inverse(inverse(A) double_divide A))
% collapsed.
% Rule
% [2111]
% A <-> inverse(inverse(identity double_divide inverse(identity))) multiply A
% collapsed.
% Current number of equations to process: 601
% Current number of ordered equations: 1
% Current number of rules: 1967
% New rule produced :
% [2121] inverse(inverse(inverse(A) double_divide A)) multiply B <-> B
% Rule
% [1651]
% identity multiply inverse(inverse(inverse(A) double_divide A)) <-> identity
% collapsed.
% Rule
% [2115]
% inverse(inverse(identity double_divide inverse(identity))) multiply A <-> A
% collapsed.
% Current number of equations to process: 601
% Current number of ordered equations: 0
% Current number of rules: 1966
% New rule produced :
% [2122]
% A <->
% inverse(inverse(inverse(inverse(inverse(inverse(identity multiply A))))))
% Current number of equations to process: 599
% Current number of ordered equations: 3
% Current number of rules: 1967
% New rule produced :
% [2123]
% A <->
% inverse(inverse(inverse(inverse(inverse(inverse(identity)))) multiply A))
% Current number of equations to process: 599
% Current number of ordered equations: 2
% Current number of rules: 1968
% New rule produced :
% [2124]
% inverse(inverse(inverse(inverse(inverse(inverse(identity multiply A)))))) <->
% A
% Current number of equations to process: 599
% Current number of ordered equations: 1
% Current number of rules: 1969
% New rule produced :
% [2125]
% inverse(inverse(inverse(inverse(inverse(inverse(identity)))) multiply A)) <->
% A
% Current number of equations to process: 599
% Current number of ordered equations: 0
% Current number of rules: 1970
% New rule produced :
% [2126]
% A <->
% inverse(inverse(identity multiply inverse(inverse(identity multiply A))))
% Current number of equations to process: 595
% Current number of ordered equations: 7
% Current number of rules: 1971
% New rule produced :
% [2127]
% A <->
% inverse(identity multiply inverse(inverse(inverse(identity multiply A))))
% Current number of equations to process: 595
% Current number of ordered equations: 6
% Current number of rules: 1972
% New rule produced :
% [2128]
% A <->
% inverse(inverse(inverse(identity multiply inverse(identity multiply A))))
% Current number of equations to process: 595
% Current number of ordered equations: 5
% Current number of rules: 1973
% New rule produced :
% [2129]
% A <->
% inverse(inverse(inverse(identity multiply inverse(identity)) multiply A))
% Current number of equations to process: 595
% Current number of ordered equations: 4
% Current number of rules: 1974
% New rule produced :
% [2130]
% inverse(inverse(identity multiply inverse(inverse(identity multiply A)))) <->
% A
% Current number of equations to process: 595
% Current number of ordered equations: 3
% Current number of rules: 1975
% New rule produced :
% [2131]
% inverse(identity multiply inverse(inverse(inverse(identity multiply A)))) <->
% A
% Current number of equations to process: 595
% Current number of ordered equations: 2
% Current number of rules: 1976
% New rule produced :
% [2132]
% inverse(inverse(inverse(identity multiply inverse(identity multiply A)))) <->
% A
% Current number of equations to process: 595
% Current number of ordered equations: 1
% Current number of rules: 1977
% New rule produced :
% [2133]
% inverse(inverse(inverse(identity multiply inverse(identity)) multiply A)) <->
% A
% Current number of equations to process: 595
% Current number of ordered equations: 0
% Current number of rules: 1978
% New rule produced :
% [2134]
% A <->
% inverse(inverse((identity multiply inverse(inverse(identity))) multiply A))
% Current number of equations to process: 591
% Current number of ordered equations: 3
% Current number of rules: 1979
% New rule produced :
% [2135]
% A <->
% identity multiply inverse(inverse(inverse(inverse(identity multiply A))))
% Current number of equations to process: 591
% Current number of ordered equations: 2
% Current number of rules: 1980
% New rule produced :
% [2136]
% inverse(inverse((identity multiply inverse(inverse(identity))) multiply A))
% <-> A
% Current number of equations to process: 591
% Current number of ordered equations: 1
% Current number of rules: 1981
% New rule produced :
% [2137]
% identity multiply inverse(inverse(inverse(inverse(identity multiply A)))) <->
% A
% Current number of equations to process: 591
% Current number of ordered equations: 0
% Current number of rules: 1982
% New rule produced :
% [2138]
% A <->
% inverse(inverse(inverse(inverse(identity multiply (identity multiply A)))))
% Current number of equations to process: 587
% Current number of ordered equations: 3
% Current number of rules: 1983
% New rule produced :
% [2139]
% A <->
% inverse(inverse(inverse(inverse(identity multiply identity)) multiply A))
% Current number of equations to process: 587
% Current number of ordered equations: 2
% Current number of rules: 1984
% New rule produced :
% [2140]
% inverse(inverse(inverse(inverse(identity multiply (identity multiply A)))))
% <-> A
% Current number of equations to process: 587
% Current number of ordered equations: 1
% Current number of rules: 1985
% New rule produced :
% [2141]
% inverse(inverse(inverse(inverse(identity multiply identity)) multiply A)) <->
% A
% Current number of equations to process: 587
% Current number of ordered equations: 0
% Current number of rules: 1986
% New rule produced :
% [2142]
% A <->
% inverse(inverse(inverse(identity)) multiply inverse(identity multiply A))
% Current number of equations to process: 583
% Current number of ordered equations: 5
% Current number of rules: 1987
% New rule produced :
% [2143]
% A <->
% inverse(inverse(inverse(inverse(identity)) multiply (identity multiply A)))
% Current number of equations to process: 583
% Current number of ordered equations: 4
% Current number of rules: 1988
% New rule produced :
% [2144]
% A <->
% inverse(inverse(identity)) multiply inverse(inverse(identity multiply A))
% Current number of equations to process: 583
% Current number of ordered equations: 3
% Current number of rules: 1989
% New rule produced :
% [2145]
% inverse(inverse(inverse(identity)) multiply inverse(identity multiply A)) <->
% A
% Current number of equations to process: 583
% Current number of ordered equations: 2
% Current number of rules: 1990
% New rule produced :
% [2146]
% inverse(inverse(inverse(inverse(identity)) multiply (identity multiply A)))
% <-> A
% Current number of equations to process: 583
% Current number of ordered equations: 1
% Current number of rules: 1991
% New rule produced :
% [2147]
% inverse(inverse(identity)) multiply inverse(inverse(identity multiply A)) <->
% A
% Current number of equations to process: 583
% Current number of ordered equations: 0
% Current number of rules: 1992
% New rule produced :
% [2148]
% A <->
% ((inverse(inverse(identity)) multiply A) double_divide B) double_divide B
% Current number of equations to process: 579
% Current number of ordered equations: 7
% Current number of rules: 1993
% New rule produced :
% [2149]
% B <-> inverse(inverse((identity double_divide A) double_divide A)) multiply B
% Current number of equations to process: 579
% Current number of ordered equations: 6
% Current number of rules: 1994
% New rule produced :
% [2150]
% B <-> inverse((inverse(identity) double_divide A) double_divide A) multiply B
% Current number of equations to process: 579
% Current number of ordered equations: 5
% Current number of rules: 1995
% New rule produced :
% [2151]
% B <->
% ((inverse(inverse(identity)) double_divide A) double_divide A) multiply B
% Current number of equations to process: 579
% Current number of ordered equations: 4
% Current number of rules: 1996
% New rule produced :
% [2152]
% inverse(inverse((identity double_divide A) double_divide A)) multiply B <-> B
% Current number of equations to process: 579
% Current number of ordered equations: 3
% Current number of rules: 1997
% New rule produced :
% [2153]
% inverse((inverse(identity) double_divide A) double_divide A) multiply B <-> B
% Current number of equations to process: 579
% Current number of ordered equations: 2
% Current number of rules: 1998
% New rule produced :
% [2154]
% ((inverse(inverse(identity)) double_divide A) double_divide A) multiply B <->
% B
% Current number of equations to process: 579
% Current number of ordered equations: 1
% Current number of rules: 1999
% New rule produced :
% [2155]
% ((inverse(inverse(identity)) multiply A) double_divide B) double_divide B <->
% A
% Current number of equations to process: 579
% Current number of ordered equations: 0
% Current number of rules: 2000
% New rule produced :
% [2156]
% inverse(identity multiply identity) <->
% identity multiply (identity multiply identity)
% Current number of equations to process: 644
% Current number of ordered equations: 1
% Current number of rules: 2001
% New rule produced :
% [2157]
% identity multiply (identity multiply identity) <->
% inverse(identity multiply identity)
% Current number of equations to process: 644
% Current number of ordered equations: 0
% Current number of rules: 2002
% New rule produced :
% [2158]
% identity multiply (identity multiply A) <-> identity double_divide inverse(A)
% Current number of equations to process: 643
% Current number of ordered equations: 1
% Current number of rules: 2003
% New rule produced :
% [2159]
% identity double_divide inverse(A) <-> identity multiply (identity multiply A)
% Current number of equations to process: 643
% Current number of ordered equations: 0
% Current number of rules: 2004
% New rule produced :
% [2160]
% inverse(inverse(inverse(identity))) <->
% identity multiply (identity multiply identity)
% Current number of equations to process: 642
% Current number of ordered equations: 1
% Current number of rules: 2005
% New rule produced :
% [2161]
% identity multiply (identity multiply identity) <->
% inverse(inverse(inverse(identity)))
% Current number of equations to process: 642
% Current number of ordered equations: 0
% Current number of rules: 2006
% New rule produced :
% [2162]
% identity multiply (identity multiply identity) <-> inverse(A) double_divide A
% Current number of equations to process: 641
% Current number of ordered equations: 1
% Current number of rules: 2007
% New rule produced :
% [2163]
% inverse(A) double_divide A <-> identity multiply (identity multiply identity)
% Current number of equations to process: 641
% Current number of ordered equations: 0
% Current number of rules: 2008
% New rule produced :
% [2164] A <-> (inverse(identity) double_divide inverse(identity)) multiply A
% Current number of equations to process: 640
% Current number of ordered equations: 1
% Current number of rules: 2009
% New rule produced :
% [2165] (inverse(identity) double_divide inverse(identity)) multiply A <-> A
% Current number of equations to process: 640
% Current number of ordered equations: 0
% Current number of rules: 2010
% New rule produced : [2166] B <-> inverse(inverse(A) multiply A) multiply B
% Rule [1160] A <-> inverse(identity multiply inverse(identity)) multiply A
% collapsed.
% Rule [1851] identity <-> identity multiply inverse(inverse(A) multiply A)
% collapsed.
% Current number of equations to process: 639
% Current number of ordered equations: 1
% Current number of rules: 2009
% New rule produced : [2167] inverse(inverse(A) multiply A) multiply B <-> B
% Rule [1163] inverse(identity multiply inverse(identity)) multiply A <-> A
% collapsed.
% Rule [1852] identity multiply inverse(inverse(A) multiply A) <-> identity
% collapsed.
% Current number of equations to process: 639
% Current number of ordered equations: 0
% Current number of rules: 2008
% New rule produced :
% [2168] A <-> identity multiply (identity multiply (identity multiply A))
% Current number of equations to process: 637
% Current number of ordered equations: 3
% Current number of rules: 2009
% New rule produced :
% [2169] A <-> (identity multiply (identity multiply identity)) multiply A
% Current number of equations to process: 637
% Current number of ordered equations: 2
% Current number of rules: 2010
% New rule produced :
% [2170] identity multiply (identity multiply (identity multiply A)) <-> A
% Current number of equations to process: 637
% Current number of ordered equations: 1
% Current number of rules: 2011
% New rule produced :
% [2171] (identity multiply (identity multiply identity)) multiply A <-> A
% Current number of equations to process: 637
% Current number of ordered equations: 0
% Current number of rules: 2012
% New rule produced :
% [2172]
% identity <->
% identity multiply (identity multiply (identity double_divide identity))
% Current number of equations to process: 635
% Current number of ordered equations: 3
% Current number of rules: 2013
% New rule produced :
% [2173]
% identity <->
% identity double_divide (identity multiply (identity multiply identity))
% Current number of equations to process: 635
% Current number of ordered equations: 2
% Current number of rules: 2014
% New rule produced :
% [2174]
% identity multiply (identity multiply (identity double_divide identity)) <->
% identity
% Current number of equations to process: 635
% Current number of ordered equations: 1
% Current number of rules: 2015
% New rule produced :
% [2175]
% identity double_divide (identity multiply (identity multiply identity)) <->
% identity
% Current number of equations to process: 635
% Current number of ordered equations: 0
% Current number of rules: 2016
% New rule produced :
% [2176]
% identity multiply (identity multiply inverse(A)) <-> identity double_divide A
% Rule
% [1119]
% identity multiply (identity multiply inverse(identity)) <->
% identity double_divide identity collapsed.
% Current number of equations to process: 634
% Current number of ordered equations: 1
% Current number of rules: 2016
% New rule produced :
% [2177]
% identity double_divide A <-> identity multiply (identity multiply inverse(A))
% Rule
% [1121]
% identity double_divide identity <->
% identity multiply (identity multiply inverse(identity)) collapsed.
% Current number of equations to process: 634
% Current number of ordered equations: 0
% Current number of rules: 2016
% New rule produced :
% [2178]
% identity multiply (identity multiply A) <->
% (A double_divide B) double_divide B
% Current number of equations to process: 633
% Current number of ordered equations: 1
% Current number of rules: 2017
% New rule produced :
% [2179]
% (A double_divide B) double_divide B <->
% identity multiply (identity multiply A)
% Current number of equations to process: 633
% Current number of ordered equations: 0
% Current number of rules: 2018
% New rule produced :
% [2180]
% inverse(A) <->
% identity multiply (identity multiply (identity double_divide A))
% Current number of equations to process: 631
% Current number of ordered equations: 3
% Current number of rules: 2019
% New rule produced :
% [2181]
% inverse(A) <->
% (identity multiply (identity multiply identity)) double_divide A
% Current number of equations to process: 631
% Current number of ordered equations: 2
% Current number of rules: 2020
% New rule produced :
% [2182]
% identity multiply (identity multiply (identity double_divide A)) <->
% inverse(A)
% Current number of equations to process: 631
% Current number of ordered equations: 1
% Current number of rules: 2021
% New rule produced :
% [2183]
% (identity multiply (identity multiply identity)) double_divide A <->
% inverse(A)
% Current number of equations to process: 631
% Current number of ordered equations: 0
% Current number of rules: 2022
% New rule produced :
% [2184] A <-> inverse(inverse(identity) multiply inverse(identity)) multiply A
% Current number of equations to process: 636
% Current number of ordered equations: 3
% Current number of rules: 2023
% New rule produced :
% [2185]
% A <-> inverse(identity) multiply (inverse(inverse(identity)) multiply A)
% Current number of equations to process: 636
% Current number of ordered equations: 2
% Current number of rules: 2024
% New rule produced :
% [2186] inverse(inverse(identity) multiply inverse(identity)) multiply A <-> A
% Current number of equations to process: 636
% Current number of ordered equations: 1
% Current number of rules: 2025
% New rule produced :
% [2187]
% inverse(identity) multiply (inverse(inverse(identity)) multiply A) <-> A
% Current number of equations to process: 636
% Current number of ordered equations: 0
% Current number of rules: 2026
% New rule produced :
% [2188]
% identity <->
% inverse(identity multiply (identity multiply (identity multiply identity)))
% Current number of equations to process: 634
% Current number of ordered equations: 3
% Current number of rules: 2027
% New rule produced :
% [2189]
% identity <->
% identity multiply (identity multiply inverse(identity multiply identity))
% Current number of equations to process: 634
% Current number of ordered equations: 2
% Current number of rules: 2028
% New rule produced :
% [2190]
% inverse(identity multiply (identity multiply (identity multiply identity)))
% <-> identity
% Current number of equations to process: 634
% Current number of ordered equations: 1
% Current number of rules: 2029
% New rule produced :
% [2191]
% identity multiply (identity multiply inverse(identity multiply identity)) <->
% identity
% Current number of equations to process: 634
% Current number of ordered equations: 0
% Current number of rules: 2030
% New rule produced :
% [2192]
% A <->
% inverse(identity multiply (identity multiply (identity double_divide A)))
% Current number of equations to process: 631
% Current number of ordered equations: 5
% Current number of rules: 2031
% New rule produced :
% [2193]
% A <->
% inverse((identity multiply (identity multiply identity)) double_divide A)
% Current number of equations to process: 631
% Current number of ordered equations: 4
% Current number of rules: 2032
% New rule produced :
% [2194]
% A <-> identity multiply (identity multiply inverse(identity double_divide A))
% Current number of equations to process: 631
% Current number of ordered equations: 3
% Current number of rules: 2033
% New rule produced :
% [2195]
% inverse(identity multiply (identity multiply (identity double_divide A))) <->
% A
% Current number of equations to process: 631
% Current number of ordered equations: 2
% Current number of rules: 2034
% New rule produced :
% [2196]
% inverse((identity multiply (identity multiply identity)) double_divide A) <->
% A
% Current number of equations to process: 631
% Current number of ordered equations: 1
% Current number of rules: 2035
% New rule produced :
% [2197]
% identity multiply (identity multiply inverse(identity double_divide A)) <-> A
% Current number of equations to process: 631
% Current number of ordered equations: 0
% Current number of rules: 2036
% New rule produced :
% [2198]
% A <->
% identity multiply (identity multiply (identity double_divide inverse(A)))
% Current number of equations to process: 628
% Current number of ordered equations: 5
% Current number of rules: 2037
% New rule produced :
% [2199]
% A <->
% identity double_divide (identity multiply (identity multiply inverse(A)))
% Current number of equations to process: 628
% Current number of ordered equations: 4
% Current number of rules: 2038
% New rule produced :
% [2200]
% A <->
% inverse(A) double_divide (identity multiply (identity multiply identity))
% Current number of equations to process: 628
% Current number of ordered equations: 3
% Current number of rules: 2039
% New rule produced :
% [2201]
% identity multiply (identity multiply (identity double_divide inverse(A))) <->
% A
% Current number of equations to process: 628
% Current number of ordered equations: 2
% Current number of rules: 2040
% New rule produced :
% [2202]
% identity double_divide (identity multiply (identity multiply inverse(A))) <->
% A
% Current number of equations to process: 628
% Current number of ordered equations: 1
% Current number of rules: 2041
% New rule produced :
% [2203]
% inverse(A) double_divide (identity multiply (identity multiply identity)) <->
% A
% Current number of equations to process: 628
% Current number of ordered equations: 0
% Current number of rules: 2042
% New rule produced :
% [2204]
% identity <->
% identity multiply (identity multiply (inverse(A) double_divide A))
% Current number of equations to process: 626
% Current number of ordered equations: 3
% Current number of rules: 2043
% New rule produced :
% [2205]
% identity <->
% (identity multiply (identity multiply inverse(A))) double_divide A
% Current number of equations to process: 626
% Current number of ordered equations: 2
% Current number of rules: 2044
% New rule produced :
% [2206]
% identity multiply (identity multiply (inverse(A) double_divide A)) <->
% identity
% Current number of equations to process: 626
% Current number of ordered equations: 1
% Current number of rules: 2045
% New rule produced :
% [2207]
% (identity multiply (identity multiply inverse(A))) double_divide A <->
% identity
% Current number of equations to process: 626
% Current number of ordered equations: 0
% Current number of rules: 2046
% New rule produced :
% [2208]
% inverse(A double_divide B) <->
% identity multiply (identity multiply (A multiply B))
% Current number of equations to process: 625
% Current number of ordered equations: 1
% Current number of rules: 2047
% New rule produced :
% [2209]
% identity multiply (identity multiply (A multiply B)) <->
% inverse(A double_divide B)
% Current number of equations to process: 625
% Current number of ordered equations: 0
% Current number of rules: 2048
% New rule produced :
% [2210]
% A <->
% inverse(inverse(inverse(inverse(inverse(inverse(identity)) multiply A))))
% Current number of equations to process: 623
% Current number of ordered equations: 3
% Current number of rules: 2049
% New rule produced :
% [2211]
% A <->
% inverse(inverse(inverse(inverse(inverse(inverse(identity)))))) multiply A
% Current number of equations to process: 623
% Current number of ordered equations: 2
% Current number of rules: 2050
% New rule produced :
% [2212]
% inverse(inverse(inverse(inverse(inverse(inverse(identity)) multiply A)))) <->
% A
% Current number of equations to process: 623
% Current number of ordered equations: 1
% Current number of rules: 2051
% New rule produced :
% [2213]
% inverse(inverse(inverse(inverse(inverse(inverse(identity)))))) multiply A <->
% A
% Current number of equations to process: 623
% Current number of ordered equations: 0
% Current number of rules: 2052
% New rule produced :
% [2214]
% A <->
% inverse(identity multiply inverse(inverse(inverse(identity)) multiply A))
% Current number of equations to process: 619
% Current number of ordered equations: 7
% Current number of rules: 2053
% New rule produced :
% [2215]
% A <->
% inverse(identity multiply inverse(inverse(inverse(identity)))) multiply A
% Current number of equations to process: 619
% Current number of ordered equations: 6
% Current number of rules: 2054
% New rule produced :
% [2216]
% A <->
% inverse(inverse(inverse(identity multiply inverse(identity)))) multiply A
% Current number of equations to process: 619
% Current number of ordered equations: 5
% Current number of rules: 2055
% New rule produced :
% [2217]
% A <->
% inverse(inverse(identity multiply inverse(inverse(identity)))) multiply A
% Current number of equations to process: 619
% Current number of ordered equations: 4
% Current number of rules: 2056
% New rule produced :
% [2218]
% inverse(identity multiply inverse(inverse(inverse(identity)) multiply A)) <->
% A
% Current number of equations to process: 619
% Current number of ordered equations: 3
% Current number of rules: 2057
% New rule produced :
% [2219]
% inverse(identity multiply inverse(inverse(inverse(identity)))) multiply A <->
% A
% Current number of equations to process: 619
% Current number of ordered equations: 2
% Current number of rules: 2058
% New rule produced :
% [2220]
% inverse(inverse(inverse(identity multiply inverse(identity)))) multiply A <->
% A
% Current number of equations to process: 619
% Current number of ordered equations: 1
% Current number of rules: 2059
% New rule produced :
% [2221]
% inverse(inverse(identity multiply inverse(inverse(identity)))) multiply A <->
% A
% Current number of equations to process: 619
% Current number of ordered equations: 0
% Current number of rules: 2060
% New rule produced :
% [2222]
% A <->
% identity multiply inverse(inverse(inverse(inverse(identity)) multiply A))
% Current number of equations to process: 615
% Current number of ordered equations: 3
% Current number of rules: 2061
% New rule produced :
% [2223]
% A <->
% (identity multiply inverse(inverse(inverse(inverse(identity))))) multiply A
% Current number of equations to process: 615
% Current number of ordered equations: 2
% Current number of rules: 2062
% New rule produced :
% [2224]
% identity multiply inverse(inverse(inverse(inverse(identity)) multiply A)) <->
% A
% Current number of equations to process: 615
% Current number of ordered equations: 1
% Current number of rules: 2063
% New rule produced :
% [2225]
% (identity multiply inverse(inverse(inverse(inverse(identity))))) multiply A
% <-> A
% Current number of equations to process: 615
% Current number of ordered equations: 0
% Current number of rules: 2064
% New rule produced :
% [2226]
% A <->
% inverse(inverse(identity multiply (inverse(inverse(identity)) multiply A)))
% Current number of equations to process: 611
% Current number of ordered equations: 3
% Current number of rules: 2065
% New rule produced :
% [2227]
% A <->
% inverse(inverse(inverse(inverse(identity multiply identity)))) multiply A
% Current number of equations to process: 611
% Current number of ordered equations: 2
% Current number of rules: 2066
% New rule produced :
% [2228]
% inverse(inverse(identity multiply (inverse(inverse(identity)) multiply A)))
% <-> A
% Current number of equations to process: 611
% Current number of ordered equations: 1
% Current number of rules: 2067
% New rule produced :
% [2229]
% inverse(inverse(inverse(inverse(identity multiply identity)))) multiply A <->
% A
% Current number of equations to process: 611
% Current number of ordered equations: 0
% Current number of rules: 2068
% New rule produced :
% [2230]
% A <->
% inverse(inverse(identity)) multiply (inverse(inverse(identity)) multiply A)
% Current number of equations to process: 607
% Current number of ordered equations: 3
% Current number of rules: 2069
% New rule produced :
% [2231]
% A <->
% (inverse(inverse(identity)) multiply inverse(inverse(identity))) multiply A
% Current number of equations to process: 607
% Current number of ordered equations: 2
% Current number of rules: 2070
% New rule produced :
% [2232]
% inverse(inverse(identity)) multiply (inverse(inverse(identity)) multiply A)
% <-> A
% Current number of equations to process: 607
% Current number of ordered equations: 1
% Current number of rules: 2071
% New rule produced :
% [2233]
% (inverse(inverse(identity)) multiply inverse(inverse(identity))) multiply A
% <-> A
% Current number of equations to process: 607
% Current number of ordered equations: 0
% Current number of rules: 2072
% New rule produced :
% [2234]
% inverse(identity multiply (identity multiply (A double_divide B))) <->
% A multiply B
% Current number of equations to process: 605
% Current number of ordered equations: 3
% Current number of rules: 2073
% New rule produced :
% [2235]
% A multiply B <->
% inverse(identity multiply (identity multiply (A double_divide B)))
% Current number of equations to process: 605
% Current number of ordered equations: 2
% Current number of rules: 2074
% New rule produced :
% [2236]
% A multiply B <->
% identity multiply (identity multiply inverse(A double_divide B))
% Current number of equations to process: 605
% Current number of ordered equations: 1
% Current number of rules: 2075
% New rule produced :
% [2237]
% identity multiply (identity multiply inverse(A double_divide B)) <->
% A multiply B
% Current number of equations to process: 605
% Current number of ordered equations: 0
% Current number of rules: 2076
% New rule produced :
% [2238]
% A <->
% identity multiply (identity multiply ((A double_divide B) double_divide B))
% Current number of equations to process: 603
% Current number of ordered equations: 3
% Current number of rules: 2077
% New rule produced :
% [2239]
% A <->
% (identity multiply (identity multiply (A double_divide B))) double_divide B
% Current number of equations to process: 603
% Current number of ordered equations: 2
% Current number of rules: 2078
% New rule produced :
% [2240]
% identity multiply (identity multiply ((A double_divide B) double_divide B))
% <-> A
% Current number of equations to process: 603
% Current number of ordered equations: 1
% Current number of rules: 2079
% New rule produced :
% [2241]
% (identity multiply (identity multiply (A double_divide B))) double_divide B
% <-> A
% Current number of equations to process: 603
% Current number of ordered equations: 0
% Current number of rules: 2080
% New rule produced :
% [2242]
% identity multiply (identity multiply (A multiply B)) <->
% identity double_divide (A double_divide B)
% Current number of equations to process: 602
% Current number of ordered equations: 1
% Current number of rules: 2081
% New rule produced :
% [2243]
% identity double_divide (A double_divide B) <->
% identity multiply (identity multiply (A multiply B))
% Current number of equations to process: 602
% Current number of ordered equations: 0
% Current number of rules: 2082
% New rule produced :
% [2244]
% identity multiply (identity multiply inverse(B)) <->
% inverse(inverse(A) double_divide B) double_divide A
% Current number of equations to process: 601
% Current number of ordered equations: 1
% Current number of rules: 2083
% New rule produced :
% [2245]
% inverse(inverse(A) double_divide B) double_divide A <->
% identity multiply (identity multiply inverse(B))
% Current number of equations to process: 601
% Current number of ordered equations: 0
% Current number of rules: 2084
% New rule produced :
% [2246]
% identity multiply (identity multiply A) <-> inverse(identity) multiply A
% Current number of equations to process: 697
% Current number of ordered equations: 1
% Current number of rules: 2085
% New rule produced :
% [2247]
% inverse(identity) multiply A <-> identity multiply (identity multiply A)
% Current number of equations to process: 697
% Current number of ordered equations: 0
% Current number of rules: 2086
% New rule produced :
% [2248]
% inverse(identity double_divide A) <-> (identity multiply identity) multiply A
% Current number of equations to process: 696
% Current number of ordered equations: 1
% Current number of rules: 2087
% New rule produced :
% [2249]
% (identity multiply identity) multiply A <-> inverse(identity double_divide A)
% Current number of equations to process: 696
% Current number of ordered equations: 0
% Current number of rules: 2088
% New rule produced :
% [2250]
% identity double_divide inverse(A) <-> (identity multiply identity) multiply A
% Current number of equations to process: 695
% Current number of ordered equations: 1
% Current number of rules: 2089
% New rule produced :
% [2251]
% (identity multiply identity) multiply A <-> identity double_divide inverse(A)
% Current number of equations to process: 695
% Current number of ordered equations: 0
% Current number of rules: 2090
% New rule produced :
% [2252]
% inverse(identity multiply (identity multiply identity)) <->
% identity multiply identity
% Current number of equations to process: 694
% Current number of ordered equations: 1
% Current number of rules: 2091
% New rule produced :
% [2253]
% identity multiply identity <->
% inverse(identity multiply (identity multiply identity))
% Current number of equations to process: 694
% Current number of ordered equations: 0
% Current number of rules: 2092
% New rule produced :
% [2254]
% inverse(inverse(inverse(inverse(A)))) <->
% identity multiply (identity multiply A)
% Current number of equations to process: 693
% Current number of ordered equations: 1
% Current number of rules: 2093
% New rule produced :
% [2255]
% identity multiply (identity multiply A) <->
% inverse(inverse(inverse(inverse(A))))
% Current number of equations to process: 693
% Current number of ordered equations: 0
% Current number of rules: 2094
% New rule produced :
% [2256]
% inverse(identity multiply inverse(A)) <->
% identity multiply (identity multiply A)
% Current number of equations to process: 692
% Current number of ordered equations: 1
% Current number of rules: 2095
% New rule produced :
% [2257]
% identity multiply (identity multiply A) <->
% inverse(identity multiply inverse(A))
% Current number of equations to process: 692
% Current number of ordered equations: 0
% Current number of rules: 2096
% New rule produced :
% [2258]
% identity multiply (identity multiply A) <->
% inverse(inverse(identity)) multiply A
% Current number of equations to process: 691
% Current number of ordered equations: 1
% Current number of rules: 2097
% New rule produced :
% [2259]
% inverse(inverse(identity)) multiply A <->
% identity multiply (identity multiply A)
% Current number of equations to process: 691
% Current number of ordered equations: 0
% Current number of rules: 2098
% New rule produced :
% [2260] A <-> (identity multiply identity) multiply (identity multiply A)
% Current number of equations to process: 690
% Current number of ordered equations: 1
% Current number of rules: 2099
% New rule produced :
% [2261] (identity multiply identity) multiply (identity multiply A) <-> A
% Current number of equations to process: 690
% Current number of ordered equations: 0
% Current number of rules: 2100
% New rule produced :
% [2262]
% identity <->
% (identity multiply identity) multiply (identity double_divide identity)
% Current number of equations to process: 689
% Current number of ordered equations: 1
% Current number of rules: 2101
% New rule produced :
% [2263]
% (identity multiply identity) multiply (identity double_divide identity) <->
% identity
% Current number of equations to process: 689
% Current number of ordered equations: 0
% Current number of rules: 2102
% New rule produced :
% [2264]
% inverse(A) multiply (identity multiply identity) <-> identity double_divide A
% Rule
% [1120]
% inverse(identity) multiply (identity multiply identity) <->
% identity double_divide identity collapsed.
% Current number of equations to process: 688
% Current number of ordered equations: 1
% Current number of rules: 2102
% New rule produced :
% [2265]
% identity double_divide A <-> inverse(A) multiply (identity multiply identity)
% Rule
% [1122]
% identity double_divide identity <->
% inverse(identity) multiply (identity multiply identity) collapsed.
% Current number of equations to process: 688
% Current number of ordered equations: 0
% Current number of rules: 2102
% New rule produced :
% [2266]
% (A double_divide B) double_divide B <->
% (identity multiply identity) multiply A
% Current number of equations to process: 687
% Current number of ordered equations: 1
% Current number of rules: 2103
% New rule produced :
% [2267]
% (identity multiply identity) multiply A <->
% (A double_divide B) double_divide B
% Current number of equations to process: 687
% Current number of ordered equations: 0
% Current number of rules: 2104
% New rule produced :
% [2268]
% inverse(identity) <->
% identity multiply (identity multiply (identity multiply identity))
% Current number of equations to process: 686
% Current number of ordered equations: 1
% Current number of rules: 2105
% New rule produced :
% [2269]
% identity multiply (identity multiply (identity multiply identity)) <->
% inverse(identity)
% Current number of equations to process: 686
% Current number of ordered equations: 0
% Current number of rules: 2106
% New rule produced :
% [2270]
% identity multiply (identity multiply inverse(A)) <->
% inverse(identity) double_divide A
% Current number of equations to process: 685
% Current number of ordered equations: 1
% Current number of rules: 2107
% New rule produced :
% [2271]
% inverse(identity) double_divide A <->
% identity multiply (identity multiply inverse(A))
% Current number of equations to process: 685
% Current number of ordered equations: 0
% Current number of rules: 2108
% New rule produced :
% [2272]
% inverse(identity multiply (identity multiply identity)) <->
% inverse(A) double_divide A
% Current number of equations to process: 683
% Current number of ordered equations: 3
% Current number of rules: 2109
% New rule produced :
% [2273]
% identity multiply (identity multiply inverse(identity)) <->
% inverse(A) double_divide A
% Current number of equations to process: 683
% Current number of ordered equations: 2
% Current number of rules: 2110
% New rule produced :
% [2274]
% inverse(A) double_divide A <->
% inverse(identity multiply (identity multiply identity))
% Current number of equations to process: 683
% Current number of ordered equations: 1
% Current number of rules: 2111
% New rule produced :
% [2275]
% inverse(A) double_divide A <->
% identity multiply (identity multiply inverse(identity))
% Current number of equations to process: 683
% Current number of ordered equations: 0
% Current number of rules: 2112
% New rule produced :
% [2276]
% inverse(identity multiply (identity multiply identity)) <->
% inverse(A) multiply A
% Current number of equations to process: 681
% Current number of ordered equations: 3
% Current number of rules: 2113
% New rule produced :
% [2277]
% identity multiply (identity multiply inverse(identity)) <->
% inverse(A) multiply A
% Current number of equations to process: 681
% Current number of ordered equations: 2
% Current number of rules: 2114
% New rule produced :
% [2278]
% inverse(A) multiply A <->
% inverse(identity multiply (identity multiply identity))
% Current number of equations to process: 681
% Current number of ordered equations: 1
% Current number of rules: 2115
% New rule produced :
% [2279]
% inverse(A) multiply A <->
% identity multiply (identity multiply inverse(identity))
% Current number of equations to process: 681
% Current number of ordered equations: 0
% Current number of rules: 2116
% New rule produced :
% [2280]
% inverse(A) <->
% (identity multiply identity) multiply (identity double_divide A)
% Current number of equations to process: 680
% Current number of ordered equations: 1
% Current number of rules: 2117
% New rule produced :
% [2281]
% (identity multiply identity) multiply (identity double_divide A) <->
% inverse(A)
% Current number of equations to process: 680
% Current number of ordered equations: 0
% Current number of rules: 2118
% New rule produced :
% [2282]
% inverse(identity multiply (identity multiply inverse(A))) <->
% identity multiply A
% Current number of equations to process: 686
% Current number of ordered equations: 1
% Current number of rules: 2119
% New rule produced :
% [2283]
% identity multiply A <->
% inverse(identity multiply (identity multiply inverse(A)))
% Current number of equations to process: 686
% Current number of ordered equations: 0
% Current number of rules: 2120
% New rule produced :
% [2284]
% inverse(inverse(A)) <->
% identity multiply (identity multiply (identity multiply A))
% Current number of equations to process: 684
% Current number of ordered equations: 3
% Current number of rules: 2121
% New rule produced :
% [2285]
% inverse(inverse(A)) <->
% (identity multiply (identity multiply identity)) multiply A
% Current number of equations to process: 684
% Current number of ordered equations: 2
% Current number of rules: 2122
% New rule produced :
% [2286]
% identity multiply (identity multiply (identity multiply A)) <->
% inverse(inverse(A))
% Current number of equations to process: 684
% Current number of ordered equations: 1
% Current number of rules: 2123
% New rule produced :
% [2287]
% (identity multiply (identity multiply identity)) multiply A <->
% inverse(inverse(A))
% Current number of equations to process: 684
% Current number of ordered equations: 0
% Current number of rules: 2124
% New rule produced :
% [2288]
% inverse(identity multiply (identity multiply inverse(identity))) <->
% identity double_divide identity
% Current number of equations to process: 683
% Current number of ordered equations: 1
% Current number of rules: 2125
% New rule produced :
% [2289]
% identity double_divide identity <->
% inverse(identity multiply (identity multiply inverse(identity)))
% Current number of equations to process: 683
% Current number of ordered equations: 0
% Current number of rules: 2126
% New rule produced :
% [2290]
% inverse(inverse(identity)) <->
% identity multiply (identity multiply (identity double_divide identity))
% Current number of equations to process: 681
% Current number of ordered equations: 3
% Current number of rules: 2127
% New rule produced :
% [2291]
% inverse(inverse(identity)) <->
% identity double_divide (identity multiply (identity multiply identity))
% Current number of equations to process: 681
% Current number of ordered equations: 2
% Current number of rules: 2128
% New rule produced :
% [2292]
% identity multiply (identity multiply (identity double_divide identity)) <->
% inverse(inverse(identity))
% Current number of equations to process: 681
% Current number of ordered equations: 1
% Current number of rules: 2129
% New rule produced :
% [2293]
% identity double_divide (identity multiply (identity multiply identity)) <->
% inverse(inverse(identity))
% Current number of equations to process: 681
% Current number of ordered equations: 0
% Current number of rules: 2130
% New rule produced :
% [2294]
% identity multiply (identity multiply (identity multiply identity)) <->
% identity double_divide identity
% Current number of equations to process: 680
% Current number of ordered equations: 1
% Current number of rules: 2131
% New rule produced :
% [2295]
% identity double_divide identity <->
% identity multiply (identity multiply (identity multiply identity))
% Current number of equations to process: 680
% Current number of ordered equations: 0
% Current number of rules: 2132
% New rule produced :
% [2296]
% identity multiply identity <->
% identity double_divide (identity multiply (identity multiply identity))
% Current number of equations to process: 679
% Current number of ordered equations: 1
% Current number of rules: 2133
% New rule produced :
% [2297]
% identity double_divide (identity multiply (identity multiply identity)) <->
% identity multiply identity
% Current number of equations to process: 679
% Current number of ordered equations: 0
% Current number of rules: 2134
% New rule produced :
% [2298]
% A <-> identity multiply (identity multiply (inverse(identity) multiply A))
% Current number of equations to process: 676
% Current number of ordered equations: 5
% Current number of rules: 2135
% New rule produced :
% [2299]
% A <-> inverse(identity multiply (identity multiply identity)) multiply A
% Current number of equations to process: 676
% Current number of ordered equations: 4
% Current number of rules: 2136
% New rule produced :
% [2300]
% A <-> (identity multiply (identity multiply inverse(identity))) multiply A
% Current number of equations to process: 676
% Current number of ordered equations: 3
% Current number of rules: 2137
% New rule produced :
% [2301]
% identity multiply (identity multiply (inverse(identity) multiply A)) <-> A
% Current number of equations to process: 676
% Current number of ordered equations: 2
% Current number of rules: 2138
% New rule produced :
% [2302]
% inverse(identity multiply (identity multiply identity)) multiply A <-> A
% Current number of equations to process: 676
% Current number of ordered equations: 1
% Current number of rules: 2139
% New rule produced :
% [2303]
% (identity multiply (identity multiply inverse(identity))) multiply A <-> A
% Current number of equations to process: 676
% Current number of ordered equations: 0
% Current number of rules: 2140
% New rule produced :
% [2304]
% identity <->
% inverse((identity multiply identity) multiply (identity multiply identity))
% Current number of equations to process: 675
% Current number of ordered equations: 1
% Current number of rules: 2141
% New rule produced :
% [2305]
% inverse((identity multiply identity) multiply (identity multiply identity))
% <-> identity
% Current number of equations to process: 675
% Current number of ordered equations: 0
% Current number of rules: 2142
% New rule produced :
% [2306]
% A <->
% inverse((identity multiply identity) multiply (identity double_divide A))
% Current number of equations to process: 673
% Current number of ordered equations: 3
% Current number of rules: 2143
% New rule produced :
% [2307]
% A <-> inverse(identity double_divide A) multiply (identity multiply identity)
% Current number of equations to process: 673
% Current number of ordered equations: 2
% Current number of rules: 2144
% New rule produced :
% [2308]
% inverse((identity multiply identity) multiply (identity double_divide A)) <->
% A
% Current number of equations to process: 673
% Current number of ordered equations: 1
% Current number of rules: 2145
% New rule produced :
% [2309]
% inverse(identity double_divide A) multiply (identity multiply identity) <-> A
% Current number of equations to process: 673
% Current number of ordered equations: 0
% Current number of rules: 2146
% New rule produced :
% [2310]
% identity <->
% inverse(inverse(inverse(identity))) multiply (identity multiply identity)
% Current number of equations to process: 672
% Current number of ordered equations: 1
% Current number of rules: 2147
% New rule produced :
% [2311]
% inverse(inverse(inverse(identity))) multiply (identity multiply identity) <->
% identity
% Current number of equations to process: 672
% Current number of ordered equations: 0
% Current number of rules: 2148
% New rule produced :
% [2312]
% A <->
% identity double_divide (inverse(A) multiply (identity multiply identity))
% Current number of equations to process: 670
% Current number of ordered equations: 3
% Current number of rules: 2149
% New rule produced :
% [2313]
% A <->
% (identity multiply identity) multiply (identity double_divide inverse(A))
% Current number of equations to process: 670
% Current number of ordered equations: 2
% Current number of rules: 2150
% New rule produced :
% [2314]
% identity double_divide (inverse(A) multiply (identity multiply identity)) <->
% A
% Current number of equations to process: 670
% Current number of ordered equations: 1
% Current number of rules: 2151
% New rule produced :
% [2315]
% (identity multiply identity) multiply (identity double_divide inverse(A)) <->
% A
% Current number of equations to process: 670
% Current number of ordered equations: 0
% Current number of rules: 2152
% New rule produced :
% [2316]
% identity <->
% (identity multiply identity) multiply (inverse(A) double_divide A)
% Current number of equations to process: 668
% Current number of ordered equations: 3
% Current number of rules: 2153
% New rule produced :
% [2317]
% identity <->
% (inverse(A) multiply (identity multiply identity)) double_divide A
% Current number of equations to process: 668
% Current number of ordered equations: 2
% Current number of rules: 2154
% New rule produced :
% [2318]
% (identity multiply identity) multiply (inverse(A) double_divide A) <->
% identity
% Current number of equations to process: 668
% Current number of ordered equations: 1
% Current number of rules: 2155
% New rule produced :
% [2319]
% (inverse(A) multiply (identity multiply identity)) double_divide A <->
% identity
% Current number of equations to process: 668
% Current number of ordered equations: 0
% Current number of rules: 2156
% New rule produced :
% [2320]
% inverse(A) <->
% identity multiply (identity multiply (inverse(identity) double_divide A))
% Current number of equations to process: 665
% Current number of ordered equations: 5
% Current number of rules: 2157
% New rule produced :
% [2321]
% inverse(A) <->
% inverse(identity multiply (identity multiply identity)) double_divide A
% Current number of equations to process: 665
% Current number of ordered equations: 4
% Current number of rules: 2158
% New rule produced :
% [2322]
% inverse(A) <->
% (identity multiply (identity multiply inverse(identity))) double_divide A
% Current number of equations to process: 665
% Current number of ordered equations: 3
% Current number of rules: 2159
% New rule produced :
% [2323]
% identity multiply (identity multiply (inverse(identity) double_divide A)) <->
% inverse(A)
% Current number of equations to process: 665
% Current number of ordered equations: 2
% Current number of rules: 2160
% New rule produced :
% [2324]
% inverse(identity multiply (identity multiply identity)) double_divide A <->
% inverse(A)
% Current number of equations to process: 665
% Current number of ordered equations: 1
% Current number of rules: 2161
% New rule produced :
% [2325]
% (identity multiply (identity multiply inverse(identity))) double_divide A <->
% inverse(A)
% Current number of equations to process: 665
% Current number of ordered equations: 0
% Current number of rules: 2162
% New rule produced :
% [2326]
% inverse(identity) <->
% identity multiply (identity multiply (inverse(A) double_divide A))
% Current number of equations to process: 663
% Current number of ordered equations: 3
% Current number of rules: 2163
% New rule produced :
% [2327]
% inverse(identity) <->
% (identity multiply (identity multiply inverse(A))) double_divide A
% Current number of equations to process: 663
% Current number of ordered equations: 2
% Current number of rules: 2164
% New rule produced :
% [2328]
% identity multiply (identity multiply (inverse(A) double_divide A)) <->
% inverse(identity)
% Current number of equations to process: 663
% Current number of ordered equations: 1
% Current number of rules: 2165
% New rule produced :
% [2329]
% (identity multiply (identity multiply inverse(A))) double_divide A <->
% inverse(identity)
% Current number of equations to process: 663
% Current number of ordered equations: 0
% Current number of rules: 2166
% New rule produced :
% [2330]
% inverse(identity) <->
% identity multiply (identity multiply (inverse(A) multiply A))
% Current number of equations to process: 661
% Current number of ordered equations: 3
% Current number of rules: 2167
% New rule produced :
% [2331]
% inverse(identity) <->
% (identity multiply (identity multiply inverse(A))) multiply A
% Current number of equations to process: 661
% Current number of ordered equations: 2
% Current number of rules: 2168
% New rule produced :
% [2332]
% identity multiply (identity multiply (inverse(A) multiply A)) <->
% inverse(identity)
% Current number of equations to process: 661
% Current number of ordered equations: 1
% Current number of rules: 2169
% New rule produced :
% [2333]
% (identity multiply (identity multiply inverse(A))) multiply A <->
% inverse(identity)
% Current number of equations to process: 661
% Current number of ordered equations: 0
% Current number of rules: 2170
% New rule produced :
% [2334]
% inverse(A double_divide B) <->
% (identity multiply identity) multiply (A multiply B)
% Current number of equations to process: 660
% Current number of ordered equations: 1
% Current number of rules: 2171
% New rule produced :
% [2335]
% (identity multiply identity) multiply (A multiply B) <->
% inverse(A double_divide B)
% Current number of equations to process: 660
% Current number of ordered equations: 0
% Current number of rules: 2172
% New rule produced :
% [2336]
% (eq)(A,identity multiply (identity multiply (identity multiply A))) -> (true)
% Current number of equations to process: 658
% Current number of ordered equations: 1
% Current number of rules: 2173
% New rule produced :
% [2337]
% (eq)(A,(identity multiply (identity multiply identity)) multiply A) -> (true)
% Current number of equations to process: 658
% Current number of ordered equations: 0
% Current number of rules: 2174
% New rule produced :
% [2338]
% (eq)(inverse(identity multiply (identity multiply inverse(A))),A) -> (true)
% Current number of equations to process: 656
% Current number of ordered equations: 1
% Current number of rules: 2175
% New rule produced :
% [2339]
% (eq)(identity multiply (identity multiply inverse(inverse(A))),A) -> (true)
% Current number of equations to process: 656
% Current number of ordered equations: 0
% Current number of rules: 2176
% New rule produced :
% [2340]
% A <->
% inverse(identity multiply (identity multiply (identity multiply inverse(A))))
% Current number of equations to process: 653
% Current number of ordered equations: 5
% Current number of rules: 2177
% New rule produced :
% [2341]
% A <->
% inverse(inverse(A) multiply (identity multiply (identity multiply identity)))
% Current number of equations to process: 653
% Current number of ordered equations: 4
% Current number of rules: 2178
% New rule produced :
% [2342]
% A <->
% identity multiply (identity multiply inverse(identity multiply inverse(A)))
% Current number of equations to process: 653
% Current number of ordered equations: 3
% Current number of rules: 2179
% New rule produced :
% [2343]
% inverse(identity multiply (identity multiply (identity multiply inverse(A))))
% <-> A
% Current number of equations to process: 653
% Current number of ordered equations: 2
% Current number of rules: 2180
% New rule produced :
% [2344]
% inverse(inverse(A) multiply (identity multiply (identity multiply identity)))
% <-> A
% Current number of equations to process: 653
% Current number of ordered equations: 1
% Current number of rules: 2181
% New rule produced :
% [2345]
% identity multiply (identity multiply inverse(identity multiply inverse(A)))
% <-> A
% Current number of equations to process: 653
% Current number of ordered equations: 0
% Current number of rules: 2182
% New rule produced :
% [2346]
% A <->
% identity multiply (identity multiply (identity multiply inverse(inverse(A))))
% Current number of equations to process: 650
% Current number of ordered equations: 5
% Current number of rules: 2183
% New rule produced :
% [2347]
% A <->
% identity multiply inverse(identity multiply (identity multiply inverse(A)))
% Current number of equations to process: 650
% Current number of ordered equations: 4
% Current number of rules: 2184
% New rule produced :
% [2348]
% A <->
% inverse(inverse(A)) multiply (identity multiply (identity multiply identity))
% Current number of equations to process: 650
% Current number of ordered equations: 3
% Current number of rules: 2185
% New rule produced :
% [2349]
% identity multiply (identity multiply (identity multiply inverse(inverse(A))))
% <-> A
% Current number of equations to process: 650
% Current number of ordered equations: 2
% Current number of rules: 2186
% New rule produced :
% [2350]
% identity multiply inverse(identity multiply (identity multiply inverse(A)))
% <-> A
% Current number of equations to process: 650
% Current number of ordered equations: 1
% Current number of rules: 2187
% New rule produced :
% [2351]
% inverse(inverse(A)) multiply (identity multiply (identity multiply identity))
% <-> A
% Current number of equations to process: 650
% Current number of ordered equations: 0
% Current number of rules: 2188
% New rule produced :
% [2352]
% A <->
% inverse(inverse(identity multiply (identity multiply (identity multiply A))))
% Current number of equations to process: 646
% Current number of ordered equations: 7
% Current number of rules: 2189
% New rule produced :
% [2353]
% A <->
% inverse(identity multiply (identity multiply inverse(identity multiply A)))
% Current number of equations to process: 646
% Current number of ordered equations: 6
% Current number of rules: 2190
% New rule produced :
% [2354]
% A <->
% inverse(inverse((identity multiply (identity multiply identity)) multiply A))
% Current number of equations to process: 646
% Current number of ordered equations: 5
% Current number of rules: 2191
% New rule produced :
% [2355]
% A <->
% identity multiply (identity multiply inverse(inverse(identity multiply A)))
% Current number of equations to process: 646
% Current number of ordered equations: 4
% Current number of rules: 2192
% New rule produced :
% [2356]
% inverse(inverse(identity multiply (identity multiply (identity multiply A))))
% <-> A
% Current number of equations to process: 646
% Current number of ordered equations: 3
% Current number of rules: 2193
% New rule produced :
% [2357]
% inverse(identity multiply (identity multiply inverse(identity multiply A)))
% <-> A
% Current number of equations to process: 646
% Current number of ordered equations: 2
% Current number of rules: 2194
% New rule produced :
% [2358]
% inverse(inverse((identity multiply (identity multiply identity)) multiply A))
% <-> A
% Current number of equations to process: 646
% Current number of ordered equations: 1
% Current number of rules: 2195
% New rule produced :
% [2359]
% identity multiply (identity multiply inverse(inverse(identity multiply A)))
% <-> A
% Current number of equations to process: 646
% Current number of ordered equations: 0
% Current number of rules: 2196
% New rule produced :
% [2360]
% A <->
% identity multiply (identity multiply (inverse(inverse(identity)) multiply A))
% Current number of equations to process: 642
% Current number of ordered equations: 7
% Current number of rules: 2197
% New rule produced :
% [2361]
% A <->
% inverse(identity multiply (identity multiply inverse(identity))) multiply A
% Current number of equations to process: 642
% Current number of ordered equations: 6
% Current number of rules: 2198
% New rule produced :
% [2362]
% A <->
% inverse(inverse(identity multiply (identity multiply identity))) multiply A
% Current number of equations to process: 642
% Current number of ordered equations: 5
% Current number of rules: 2199
% New rule produced :
% [2363]
% A <->
% (identity multiply (identity multiply inverse(inverse(identity)))) multiply A
% Current number of equations to process: 642
% Current number of ordered equations: 4
% Current number of rules: 2200
% New rule produced :
% [2364]
% identity multiply (identity multiply (inverse(inverse(identity)) multiply A))
% <-> A
% Current number of equations to process: 642
% Current number of ordered equations: 3
% Current number of rules: 2201
% New rule produced :
% [2365]
% inverse(identity multiply (identity multiply inverse(identity))) multiply A
% <-> A
% Current number of equations to process: 642
% Current number of ordered equations: 2
% Current number of rules: 2202
% New rule produced :
% [2366]
% inverse(inverse(identity multiply (identity multiply identity))) multiply A
% <-> A
% Current number of equations to process: 642
% Current number of ordered equations: 1
% Current number of rules: 2203
% New rule produced :
% [2367]
% (identity multiply (identity multiply inverse(inverse(identity)))) multiply A
% <-> A
% Current number of equations to process: 642
% Current number of ordered equations: 0
% Current number of rules: 2204
% New rule produced :
% [2368]
% inverse((identity multiply identity) multiply (A double_divide B)) <->
% A multiply B
% Current number of equations to process: 640
% Current number of ordered equations: 3
% Current number of rules: 2205
% New rule produced :
% [2369]
% A multiply B <->
% inverse((identity multiply identity) multiply (A double_divide B))
% Current number of equations to process: 640
% Current number of ordered equations: 2
% Current number of rules: 2206
% New rule produced :
% [2370]
% A multiply B <->
% inverse(A double_divide B) multiply (identity multiply identity)
% Current number of equations to process: 640
% Current number of ordered equations: 1
% Current number of rules: 2207
% New rule produced :
% [2371]
% inverse(A double_divide B) multiply (identity multiply identity) <->
% A multiply B
% Current number of equations to process: 640
% Current number of ordered equations: 0
% Current number of rules: 2208
% New rule produced :
% [2372]
% A <->
% (identity multiply identity) multiply ((A double_divide B) double_divide B)
% Current number of equations to process: 638
% Current number of ordered equations: 3
% Current number of rules: 2209
% New rule produced :
% [2373]
% A <->
% ((identity multiply identity) multiply (A double_divide B)) double_divide B
% Current number of equations to process: 638
% Current number of ordered equations: 2
% Current number of rules: 2210
% New rule produced :
% [2374]
% (identity multiply identity) multiply ((A double_divide B) double_divide B)
% <-> A
% Current number of equations to process: 638
% Current number of ordered equations: 1
% Current number of rules: 2211
% New rule produced :
% [2375]
% ((identity multiply identity) multiply (A double_divide B)) double_divide B
% <-> A
% Current number of equations to process: 638
% Current number of ordered equations: 0
% Current number of rules: 2212
% New rule produced :
% [2376]
% identity double_divide (A double_divide B) <->
% (identity multiply identity) multiply (A multiply B)
% Current number of equations to process: 637
% Current number of ordered equations: 1
% Current number of rules: 2213
% New rule produced :
% [2377]
% (identity multiply identity) multiply (A multiply B) <->
% identity double_divide (A double_divide B)
% Current number of equations to process: 637
% Current number of ordered equations: 0
% Current number of rules: 2214
% New rule produced :
% [2378]
% inverse(B) multiply (identity multiply identity) <->
% inverse(inverse(A) double_divide B) double_divide A
% Current number of equations to process: 636
% Current number of ordered equations: 1
% Current number of rules: 2215
% New rule produced :
% [2379]
% inverse(inverse(A) double_divide B) double_divide A <->
% inverse(B) multiply (identity multiply identity)
% Current number of equations to process: 636
% Current number of ordered equations: 0
% Current number of rules: 2216
% New rule produced :
% [2380]
% inverse(inverse(inverse(inverse(A)))) <->
% (identity multiply identity) multiply A
% Current number of equations to process: 717
% Current number of ordered equations: 1
% Current number of rules: 2217
% New rule produced :
% [2381]
% (identity multiply identity) multiply A <->
% inverse(inverse(inverse(inverse(A))))
% Current number of equations to process: 717
% Current number of ordered equations: 0
% Current number of rules: 2218
% New rule produced :
% [2382]
% inverse(identity multiply inverse(A)) <->
% (identity multiply identity) multiply A
% Current number of equations to process: 716
% Current number of ordered equations: 1
% Current number of rules: 2219
% New rule produced :
% [2383]
% (identity multiply identity) multiply A <->
% inverse(identity multiply inverse(A))
% Current number of equations to process: 716
% Current number of ordered equations: 0
% Current number of rules: 2220
% New rule produced :
% [2384]
% identity multiply inverse(inverse(A)) <->
% (identity multiply identity) multiply A
% Current number of equations to process: 715
% Current number of ordered equations: 1
% Current number of rules: 2221
% New rule produced :
% [2385]
% (identity multiply identity) multiply A <->
% identity multiply inverse(inverse(A))
% Current number of equations to process: 715
% Current number of ordered equations: 0
% Current number of rules: 2222
% New rule produced :
% [2386]
% inverse(inverse(identity multiply A)) <->
% (identity multiply identity) multiply A
% Current number of equations to process: 714
% Current number of ordered equations: 1
% Current number of rules: 2223
% New rule produced :
% [2387]
% (identity multiply identity) multiply A <->
% inverse(inverse(identity multiply A))
% Current number of equations to process: 714
% Current number of ordered equations: 0
% Current number of rules: 2224
% New rule produced :
% [2388]
% identity multiply (identity multiply A) <->
% (identity multiply identity) multiply A
% Current number of equations to process: 713
% Current number of ordered equations: 1
% Current number of rules: 2225
% New rule produced :
% [2389]
% (identity multiply identity) multiply A <->
% identity multiply (identity multiply A)
% Current number of equations to process: 713
% Current number of ordered equations: 0
% Current number of rules: 2226
% New rule produced :
% [2390] A <-> identity multiply ((identity multiply identity) multiply A)
% Current number of equations to process: 712
% Current number of ordered equations: 1
% Current number of rules: 2227
% New rule produced :
% [2391] identity multiply ((identity multiply identity) multiply A) <-> A
% Current number of equations to process: 712
% Current number of ordered equations: 0
% Current number of rules: 2228
% New rule produced :
% [2392] A <-> identity multiply ((identity double_divide identity) multiply A)
% Rule
% [2172]
% identity <->
% identity multiply (identity multiply (identity double_divide identity))
% collapsed.
% Current number of equations to process: 710
% Current number of ordered equations: 3
% Current number of rules: 2228
% New rule produced :
% [2393] A <-> (identity multiply A) multiply (identity double_divide identity)
% Rule
% [2262]
% identity <->
% (identity multiply identity) multiply (identity double_divide identity)
% collapsed.
% Current number of equations to process: 710
% Current number of ordered equations: 2
% Current number of rules: 2228
% New rule produced :
% [2394] identity multiply ((identity double_divide identity) multiply A) <-> A
% Rule
% [2174]
% identity multiply (identity multiply (identity double_divide identity)) <->
% identity collapsed.
% Current number of equations to process: 710
% Current number of ordered equations: 1
% Current number of rules: 2228
% New rule produced :
% [2395] (identity multiply A) multiply (identity double_divide identity) <-> A
% Rule
% [2263]
% (identity multiply identity) multiply (identity double_divide identity) <->
% identity collapsed.
% Current number of equations to process: 710
% Current number of ordered equations: 0
% Current number of rules: 2228
% New rule produced :
% [2396] (eq)(inverse(inverse(identity multiply A)),A) -> (true)
% Current number of equations to process: 709
% Current number of ordered equations: 0
% Current number of rules: 2229
% New rule produced :
% [2397]
% inverse(identity) <->
% (identity multiply identity) multiply (identity multiply identity)
% Current number of equations to process: 708
% Current number of ordered equations: 1
% Current number of rules: 2230
% New rule produced :
% [2398]
% (identity multiply identity) multiply (identity multiply identity) <->
% inverse(identity)
% Current number of equations to process: 708
% Current number of ordered equations: 0
% Current number of rules: 2231
% New rule produced :
% [2399]
% inverse(A) multiply (identity multiply identity) <->
% inverse(identity) double_divide A
% Current number of equations to process: 707
% Current number of ordered equations: 1
% Current number of rules: 2232
% New rule produced :
% [2400]
% inverse(identity) double_divide A <->
% inverse(A) multiply (identity multiply identity)
% Current number of equations to process: 707
% Current number of ordered equations: 0
% Current number of rules: 2233
% New rule produced :
% [2401]
% inverse(identity) multiply (identity multiply identity) <->
% inverse(A) double_divide A
% Current number of equations to process: 706
% Current number of ordered equations: 1
% Current number of rules: 2234
% New rule produced :
% [2402]
% inverse(A) double_divide A <->
% inverse(identity) multiply (identity multiply identity)
% Current number of equations to process: 706
% Current number of ordered equations: 0
% Current number of rules: 2235
% New rule produced :
% [2403]
% inverse(A) multiply A <->
% inverse(identity) multiply (identity multiply identity)
% Current number of equations to process: 705
% Current number of ordered equations: 1
% Current number of rules: 2236
% New rule produced :
% [2404]
% inverse(identity) multiply (identity multiply identity) <->
% inverse(A) multiply A
% Current number of equations to process: 705
% Current number of ordered equations: 0
% Current number of rules: 2237
% New rule produced :
% [2405]
% inverse(inverse(A) multiply (identity multiply identity)) <->
% identity multiply A
% Current number of equations to process: 707
% Current number of ordered equations: 3
% Current number of rules: 2238
% New rule produced :
% [2406]
% identity multiply A <->
% inverse(inverse(A) multiply (identity multiply identity))
% Current number of equations to process: 707
% Current number of ordered equations: 2
% Current number of rules: 2239
% New rule produced :
% [2407]
% identity multiply A <->
% inverse(inverse(A)) multiply (identity multiply identity)
% Current number of equations to process: 707
% Current number of ordered equations: 1
% Current number of rules: 2240
% New rule produced :
% [2408]
% inverse(inverse(A)) multiply (identity multiply identity) <->
% identity multiply A
% Current number of equations to process: 707
% Current number of ordered equations: 0
% Current number of rules: 2241
% New rule produced :
% [2409]
% inverse(inverse(A)) <->
% (identity multiply identity) multiply (identity multiply A)
% Current number of equations to process: 706
% Current number of ordered equations: 1
% Current number of rules: 2242
% New rule produced :
% [2410]
% (identity multiply identity) multiply (identity multiply A) <->
% inverse(inverse(A))
% Current number of equations to process: 706
% Current number of ordered equations: 0
% Current number of rules: 2243
% New rule produced :
% [2411]
% inverse(inverse(identity) multiply (identity multiply identity)) <->
% identity double_divide identity
% Current number of equations to process: 705
% Current number of ordered equations: 1
% Current number of rules: 2244
% New rule produced :
% [2412]
% identity double_divide identity <->
% inverse(inverse(identity) multiply (identity multiply identity))
% Current number of equations to process: 705
% Current number of ordered equations: 0
% Current number of rules: 2245
% New rule produced :
% [2413]
% inverse(inverse(identity)) <->
% (identity multiply identity) multiply (identity double_divide identity)
% Current number of equations to process: 704
% Current number of ordered equations: 1
% Current number of rules: 2246
% New rule produced :
% [2414]
% (identity multiply identity) multiply (identity double_divide identity) <->
% inverse(inverse(identity))
% Current number of equations to process: 704
% Current number of ordered equations: 0
% Current number of rules: 2247
% New rule produced :
% [2415]
% identity double_divide identity <->
% (identity multiply identity) multiply (identity multiply identity)
% Current number of equations to process: 703
% Current number of ordered equations: 1
% Current number of rules: 2248
% New rule produced :
% [2416]
% (identity multiply identity) multiply (identity multiply identity) <->
% identity double_divide identity
% Current number of equations to process: 703
% Current number of ordered equations: 0
% Current number of rules: 2249
% New rule produced :
% [2417]
% A <-> (inverse(identity) multiply (identity multiply identity)) multiply A
% Current number of equations to process: 701
% Current number of ordered equations: 3
% Current number of rules: 2250
% New rule produced :
% [2418]
% A <-> (identity multiply identity) multiply (inverse(identity) multiply A)
% Current number of equations to process: 701
% Current number of ordered equations: 2
% Current number of rules: 2251
% New rule produced :
% [2419]
% (inverse(identity) multiply (identity multiply identity)) multiply A <-> A
% Current number of equations to process: 701
% Current number of ordered equations: 1
% Current number of rules: 2252
% New rule produced :
% [2420]
% (identity multiply identity) multiply (inverse(identity) multiply A) <-> A
% Current number of equations to process: 701
% Current number of ordered equations: 0
% Current number of rules: 2253
% New rule produced :
% [2421]
% A <-> identity multiply (inverse(identity multiply identity) multiply A)
% Rule
% [2189]
% identity <->
% identity multiply (identity multiply inverse(identity multiply identity))
% collapsed.
% Current number of equations to process: 699
% Current number of ordered equations: 3
% Current number of rules: 2253
% New rule produced :
% [2422]
% A <-> inverse(identity multiply identity) multiply (identity multiply A)
% Current number of equations to process: 699
% Current number of ordered equations: 2
% Current number of rules: 2254
% New rule produced :
% [2423]
% identity multiply (inverse(identity multiply identity) multiply A) <-> A
% Rule
% [2191]
% identity multiply (identity multiply inverse(identity multiply identity)) <->
% identity collapsed.
% Current number of equations to process: 699
% Current number of ordered equations: 1
% Current number of rules: 2254
% New rule produced :
% [2424]
% inverse(identity multiply identity) multiply (identity multiply A) <-> A
% Current number of equations to process: 699
% Current number of ordered equations: 0
% Current number of rules: 2255
% New rule produced :
% [2425]
% A <->
% inverse(identity double_divide (identity multiply (identity multiply A)))
% Current number of equations to process: 695
% Current number of ordered equations: 7
% Current number of rules: 2256
% New rule produced :
% [2426]
% A <-> identity multiply inverse(identity double_divide (identity multiply A))
% Current number of equations to process: 695
% Current number of ordered equations: 6
% Current number of rules: 2257
% New rule produced :
% [2427]
% A <-> identity multiply (inverse(identity double_divide identity) multiply A)
% Current number of equations to process: 695
% Current number of ordered equations: 5
% Current number of rules: 2258
% New rule produced :
% [2428]
% A <-> inverse(identity double_divide identity) multiply (identity multiply A)
% Current number of equations to process: 695
% Current number of ordered equations: 4
% Current number of rules: 2259
% New rule produced :
% [2429]
% inverse(identity double_divide (identity multiply (identity multiply A))) <->
% A
% Current number of equations to process: 695
% Current number of ordered equations: 3
% Current number of rules: 2260
% New rule produced :
% [2430]
% identity multiply inverse(identity double_divide (identity multiply A)) <-> A
% Current number of equations to process: 695
% Current number of ordered equations: 2
% Current number of rules: 2261
% New rule produced :
% [2431]
% identity multiply (inverse(identity double_divide identity) multiply A) <-> A
% Current number of equations to process: 695
% Current number of ordered equations: 1
% Current number of rules: 2262
% New rule produced :
% [2432]
% inverse(identity double_divide identity) multiply (identity multiply A) <-> A
% Current number of equations to process: 695
% Current number of ordered equations: 0
% Current number of rules: 2263
% New rule produced :
% [2433]
% A <-> identity multiply (identity double_divide inverse(identity multiply A))
% Current number of equations to process: 691
% Current number of ordered equations: 7
% Current number of rules: 2264
% New rule produced :
% [2434]
% A <->
% identity multiply ((identity double_divide inverse(identity)) multiply A)
% Current number of equations to process: 691
% Current number of ordered equations: 6
% Current number of rules: 2265
% New rule produced :
% [2435]
% A <-> identity double_divide inverse(identity multiply (identity multiply A))
% Current number of equations to process: 691
% Current number of ordered equations: 5
% Current number of rules: 2266
% New rule produced :
% [2436]
% A <->
% (identity multiply A) multiply (identity double_divide inverse(identity))
% Current number of equations to process: 691
% Current number of ordered equations: 4
% Current number of rules: 2267
% New rule produced :
% [2437]
% identity multiply (identity double_divide inverse(identity multiply A)) <-> A
% Current number of equations to process: 691
% Current number of ordered equations: 3
% Current number of rules: 2268
% New rule produced :
% [2438]
% identity multiply ((identity double_divide inverse(identity)) multiply A) <->
% A
% Current number of equations to process: 691
% Current number of ordered equations: 2
% Current number of rules: 2269
% New rule produced :
% [2439]
% identity double_divide inverse(identity multiply (identity multiply A)) <-> A
% Current number of equations to process: 691
% Current number of ordered equations: 1
% Current number of rules: 2270
% New rule produced :
% [2440]
% (identity multiply A) multiply (identity double_divide inverse(identity)) <->
% A
% Current number of equations to process: 691
% Current number of ordered equations: 0
% Current number of rules: 2271
% New rule produced :
% [2441]
% A <-> identity multiply (inverse(inverse(inverse(identity))) multiply A)
% Current number of equations to process: 689
% Current number of ordered equations: 3
% Current number of rules: 2272
% New rule produced :
% [2442]
% A <-> inverse(inverse(inverse(identity))) multiply (identity multiply A)
% Rule
% [2310]
% identity <->
% inverse(inverse(inverse(identity))) multiply (identity multiply identity)
% collapsed.
% Current number of equations to process: 689
% Current number of ordered equations: 2
% Current number of rules: 2272
% New rule produced :
% [2443]
% identity multiply (inverse(inverse(inverse(identity))) multiply A) <-> A
% Current number of equations to process: 689
% Current number of ordered equations: 1
% Current number of rules: 2273
% New rule produced :
% [2444]
% inverse(inverse(inverse(identity))) multiply (identity multiply A) <-> A
% Rule
% [2311]
% inverse(inverse(inverse(identity))) multiply (identity multiply identity) <->
% identity collapsed.
% Current number of equations to process: 689
% Current number of ordered equations: 0
% Current number of rules: 2273
% New rule produced :
% [2445] A <-> (identity multiply A) multiply (inverse(B) double_divide B)
% Rule
% [2316]
% identity <->
% (identity multiply identity) multiply (inverse(A) double_divide A) collapsed.
% Rule
% [2436]
% A <->
% (identity multiply A) multiply (identity double_divide inverse(identity))
% collapsed.
% Current number of equations to process: 687
% Current number of ordered equations: 3
% Current number of rules: 2272
% New rule produced :
% [2446] B <-> identity multiply ((inverse(A) double_divide A) multiply B)
% Rule
% [2204]
% identity <->
% identity multiply (identity multiply (inverse(A) double_divide A)) collapsed.
% Rule
% [2434]
% A <->
% identity multiply ((identity double_divide inverse(identity)) multiply A)
% collapsed.
% Current number of equations to process: 687
% Current number of ordered equations: 2
% Current number of rules: 2271
% New rule produced :
% [2447] identity multiply ((inverse(A) double_divide A) multiply B) <-> B
% Rule
% [2206]
% identity multiply (identity multiply (inverse(A) double_divide A)) <->
% identity collapsed.
% Rule
% [2438]
% identity multiply ((identity double_divide inverse(identity)) multiply A) <->
% A collapsed.
% Current number of equations to process: 687
% Current number of ordered equations: 1
% Current number of rules: 2270
% New rule produced :
% [2448] (identity multiply A) multiply (inverse(B) double_divide B) <-> A
% Rule
% [2318]
% (identity multiply identity) multiply (inverse(A) double_divide A) <->
% identity collapsed.
% Rule
% [2440]
% (identity multiply A) multiply (identity double_divide inverse(identity)) <->
% A collapsed.
% Current number of equations to process: 687
% Current number of ordered equations: 0
% Current number of rules: 2269
% New rule produced :
% [2449]
% inverse(A) <->
% (inverse(identity) multiply (identity multiply identity)) double_divide A
% Current number of equations to process: 685
% Current number of ordered equations: 3
% Current number of rules: 2270
% New rule produced :
% [2450]
% inverse(A) <->
% (identity multiply identity) multiply (inverse(identity) double_divide A)
% Current number of equations to process: 685
% Current number of ordered equations: 2
% Current number of rules: 2271
% New rule produced :
% [2451]
% (inverse(identity) multiply (identity multiply identity)) double_divide A <->
% inverse(A)
% Current number of equations to process: 685
% Current number of ordered equations: 1
% Current number of rules: 2272
% New rule produced :
% [2452]
% (identity multiply identity) multiply (inverse(identity) double_divide A) <->
% inverse(A)
% Current number of equations to process: 685
% Current number of ordered equations: 0
% Current number of rules: 2273
% New rule produced :
% [2453]
% inverse(identity) <->
% (identity multiply identity) multiply (inverse(A) double_divide A)
% Current number of equations to process: 683
% Current number of ordered equations: 3
% Current number of rules: 2274
% New rule produced :
% [2454]
% inverse(identity) <->
% (inverse(A) multiply (identity multiply identity)) double_divide A
% Current number of equations to process: 683
% Current number of ordered equations: 2
% Current number of rules: 2275
% New rule produced :
% [2455]
% (identity multiply identity) multiply (inverse(A) double_divide A) <->
% inverse(identity)
% Current number of equations to process: 683
% Current number of ordered equations: 1
% Current number of rules: 2276
% New rule produced :
% [2456]
% (inverse(A) multiply (identity multiply identity)) double_divide A <->
% inverse(identity)
% Current number of equations to process: 683
% Current number of ordered equations: 0
% Current number of rules: 2277
% New rule produced :
% [2457]
% inverse(identity) <->
% (identity multiply identity) multiply (inverse(A) multiply A)
% Current number of equations to process: 681
% Current number of ordered equations: 3
% Current number of rules: 2278
% New rule produced :
% [2458]
% inverse(identity) <->
% (inverse(A) multiply (identity multiply identity)) multiply A
% Current number of equations to process: 681
% Current number of ordered equations: 2
% Current number of rules: 2279
% New rule produced :
% [2459]
% (identity multiply identity) multiply (inverse(A) multiply A) <->
% inverse(identity)
% Current number of equations to process: 681
% Current number of ordered equations: 1
% Current number of rules: 2280
% New rule produced :
% [2460]
% (inverse(A) multiply (identity multiply identity)) multiply A <->
% inverse(identity)
% Current number of equations to process: 681
% Current number of ordered equations: 0
% Current number of rules: 2281
% New rule produced :
% [2461]
% (eq)(A,(identity multiply identity) multiply (identity multiply A)) -> (true)
% Current number of equations to process: 680
% Current number of ordered equations: 0
% Current number of rules: 2282
% New rule produced :
% [2462]
% (eq)(inverse(inverse(A)) multiply (identity multiply identity),A) -> (true)
% Current number of equations to process: 678
% Current number of ordered equations: 1
% Current number of rules: 2283
% New rule produced :
% [2463]
% (eq)(inverse(inverse(A) multiply (identity multiply identity)),A) -> (true)
% Current number of equations to process: 678
% Current number of ordered equations: 0
% Current number of rules: 2284
% New rule produced :
% [2464]
% A <->
% inverse(inverse(inverse(inverse(A))) multiply (identity multiply identity))
% Current number of equations to process: 674
% Current number of ordered equations: 7
% Current number of rules: 2285
% New rule produced :
% [2465]
% A <->
% inverse(inverse(inverse(inverse(A) multiply (identity multiply identity))))
% Current number of equations to process: 674
% Current number of ordered equations: 6
% Current number of rules: 2286
% New rule produced :
% [2466]
% A <->
% inverse(inverse(inverse(inverse(A)) multiply (identity multiply identity)))
% Current number of equations to process: 674
% Current number of ordered equations: 5
% Current number of rules: 2287
% New rule produced :
% [2467]
% A <->
% inverse(inverse(inverse(inverse(A)))) multiply (identity multiply identity)
% Current number of equations to process: 674
% Current number of ordered equations: 4
% Current number of rules: 2288
% New rule produced :
% [2468]
% inverse(inverse(inverse(inverse(A))) multiply (identity multiply identity))
% <-> A
% Current number of equations to process: 674
% Current number of ordered equations: 3
% Current number of rules: 2289
% New rule produced :
% [2469]
% inverse(inverse(inverse(inverse(A) multiply (identity multiply identity))))
% <-> A
% Current number of equations to process: 674
% Current number of ordered equations: 2
% Current number of rules: 2290
% New rule produced :
% [2470]
% inverse(inverse(inverse(inverse(A)) multiply (identity multiply identity)))
% <-> A
% Current number of equations to process: 674
% Current number of ordered equations: 1
% Current number of rules: 2291
% New rule produced :
% [2471]
% inverse(inverse(inverse(inverse(A)))) multiply (identity multiply identity)
% <-> A
% Current number of equations to process: 674
% Current number of ordered equations: 0
% Current number of rules: 2292
% New rule produced :
% [2472]
% A <->
% inverse((identity multiply identity) multiply (identity multiply inverse(A)))
% Current number of equations to process: 671
% Current number of ordered equations: 5
% Current number of rules: 2293
% New rule produced :
% [2473]
% A <->
% inverse(identity multiply (inverse(A) multiply (identity multiply identity)))
% Current number of equations to process: 671
% Current number of ordered equations: 4
% Current number of rules: 2294
% New rule produced :
% [2474]
% A <->
% inverse(identity multiply inverse(A)) multiply (identity multiply identity)
% Current number of equations to process: 671
% Current number of ordered equations: 3
% Current number of rules: 2295
% New rule produced :
% [2475]
% inverse((identity multiply identity) multiply (identity multiply inverse(A)))
% <-> A
% Current number of equations to process: 671
% Current number of ordered equations: 2
% Current number of rules: 2296
% New rule produced :
% [2476]
% inverse(identity multiply (inverse(A) multiply (identity multiply identity)))
% <-> A
% Current number of equations to process: 671
% Current number of ordered equations: 1
% Current number of rules: 2297
% New rule produced :
% [2477]
% inverse(identity multiply inverse(A)) multiply (identity multiply identity)
% <-> A
% Current number of equations to process: 671
% Current number of ordered equations: 0
% Current number of rules: 2298
% New rule produced :
% [2478]
% A <->
% identity multiply (inverse(inverse(A)) multiply (identity multiply identity))
% Current number of equations to process: 668
% Current number of ordered equations: 5
% Current number of rules: 2299
% New rule produced :
% [2479]
% A <->
% identity multiply inverse(inverse(A) multiply (identity multiply identity))
% Current number of equations to process: 668
% Current number of ordered equations: 4
% Current number of rules: 2300
% New rule produced :
% [2480]
% A <->
% (identity multiply identity) multiply (identity multiply inverse(inverse(A)))
% Current number of equations to process: 668
% Current number of ordered equations: 3
% Current number of rules: 2301
% New rule produced :
% [2481]
% identity multiply (inverse(inverse(A)) multiply (identity multiply identity))
% <-> A
% Current number of equations to process: 668
% Current number of ordered equations: 2
% Current number of rules: 2302
% New rule produced :
% [2482]
% identity multiply inverse(inverse(A) multiply (identity multiply identity))
% <-> A
% Current number of equations to process: 668
% Current number of ordered equations: 1
% Current number of rules: 2303
% New rule produced :
% [2483]
% (identity multiply identity) multiply (identity multiply inverse(inverse(A)))
% <-> A
% Current number of equations to process: 668
% Current number of ordered equations: 0
% Current number of rules: 2304
% New rule produced :
% [2484]
% A <->
% inverse(inverse(identity multiply A) multiply (identity multiply identity))
% Current number of equations to process: 665
% Current number of ordered equations: 5
% Current number of rules: 2305
% New rule produced :
% [2485]
% A <->
% inverse(inverse((identity multiply identity) multiply (identity multiply A)))
% Current number of equations to process: 665
% Current number of ordered equations: 4
% Current number of rules: 2306
% New rule produced :
% [2486]
% A <->
% inverse(inverse(identity multiply A)) multiply (identity multiply identity)
% Current number of equations to process: 665
% Current number of ordered equations: 3
% Current number of rules: 2307
% New rule produced :
% [2487]
% inverse(inverse(identity multiply A) multiply (identity multiply identity))
% <-> A
% Current number of equations to process: 665
% Current number of ordered equations: 2
% Current number of rules: 2308
% New rule produced :
% [2488]
% inverse(inverse((identity multiply identity) multiply (identity multiply A)))
% <-> A
% Current number of equations to process: 665
% Current number of ordered equations: 1
% Current number of rules: 2309
% New rule produced :
% [2489]
% inverse(inverse(identity multiply A)) multiply (identity multiply identity)
% <-> A
% Current number of equations to process: 665
% Current number of ordered equations: 0
% Current number of rules: 2310
% New rule produced :
% [2490]
% A <->
% (identity multiply identity) multiply (inverse(inverse(identity)) multiply A)
% Current number of equations to process: 662
% Current number of ordered equations: 5
% Current number of rules: 2311
% New rule produced :
% [2491]
% A <->
% (inverse(inverse(identity)) multiply (identity multiply identity)) multiply A
% Current number of equations to process: 662
% Current number of ordered equations: 4
% Current number of rules: 2312
% New rule produced :
% [2492]
% A <->
% inverse(inverse(identity) multiply (identity multiply identity)) multiply A
% Current number of equations to process: 662
% Current number of ordered equations: 3
% Current number of rules: 2313
% New rule produced :
% [2493]
% (identity multiply identity) multiply (inverse(inverse(identity)) multiply A)
% <-> A
% Current number of equations to process: 662
% Current number of ordered equations: 2
% Current number of rules: 2314
% New rule produced :
% [2494]
% (inverse(inverse(identity)) multiply (identity multiply identity)) multiply A
% <-> A
% Current number of equations to process: 662
% Current number of ordered equations: 1
% Current number of rules: 2315
% New rule produced :
% [2495]
% inverse(inverse(identity) multiply (identity multiply identity)) multiply A
% <-> A
% Current number of equations to process: 662
% Current number of ordered equations: 0
% Current number of rules: 2316
% New rule produced :
% [2496]
% A <->
% identity multiply (((identity multiply A) double_divide B) double_divide B)
% Current number of equations to process: 658
% Current number of ordered equations: 7
% Current number of rules: 2317
% New rule produced :
% [2497]
% A <->
% (identity multiply A) multiply ((identity double_divide B) double_divide B)
% Current number of equations to process: 658
% Current number of ordered equations: 6
% Current number of rules: 2318
% New rule produced :
% [2498]
% A <->
% ((identity multiply (identity multiply A)) double_divide B) double_divide B
% Current number of equations to process: 658
% Current number of ordered equations: 5
% Current number of rules: 2319
% New rule produced :
% [2499]
% B <->
% identity multiply (((identity double_divide A) double_divide A) multiply B)
% Current number of equations to process: 658
% Current number of ordered equations: 4
% Current number of rules: 2320
% New rule produced :
% [2500]
% identity multiply (((identity multiply A) double_divide B) double_divide B)
% <-> A
% Current number of equations to process: 658
% Current number of ordered equations: 3
% Current number of rules: 2321
% New rule produced :
% [2501]
% identity multiply (((identity double_divide A) double_divide A) multiply B)
% <-> B
% Current number of equations to process: 658
% Current number of ordered equations: 2
% Current number of rules: 2322
% New rule produced :
% [2502]
% (identity multiply A) multiply ((identity double_divide B) double_divide B)
% <-> A
% Current number of equations to process: 658
% Current number of ordered equations: 1
% Current number of rules: 2323
% New rule produced :
% [2503]
% ((identity multiply (identity multiply A)) double_divide B) double_divide B
% <-> A
% Current number of equations to process: 658
% Current number of ordered equations: 0
% Current number of rules: 2324
% New rule produced :
% [2504] A <-> (identity multiply (identity double_divide identity)) multiply A
% Current number of equations to process: 700
% Current number of ordered equations: 1
% Current number of rules: 2325
% New rule produced :
% [2505] (identity multiply (identity double_divide identity)) multiply A <-> A
% Current number of equations to process: 700
% Current number of ordered equations: 0
% Current number of rules: 2326
% New rule produced :
% [2506]
% A <-> identity double_divide ((identity multiply identity) double_divide A)
% Current number of equations to process: 699
% Current number of ordered equations: 1
% Current number of rules: 2327
% New rule produced :
% [2507]
% identity double_divide ((identity multiply identity) double_divide A) <-> A
% Current number of equations to process: 699
% Current number of ordered equations: 0
% Current number of rules: 2328
% New rule produced :
% [2508]
% A <-> identity multiply (inverse(identity) multiply (identity multiply A))
% Current number of equations to process: 698
% Current number of ordered equations: 7
% Current number of rules: 2329
% New rule produced :
% [2509]
% A <-> identity multiply ((identity multiply inverse(identity)) multiply A)
% Current number of equations to process: 698
% Current number of ordered equations: 6
% Current number of rules: 2330
% New rule produced :
% [2510]
% A <-> inverse(identity) multiply (identity multiply (identity multiply A))
% Current number of equations to process: 698
% Current number of ordered equations: 5
% Current number of rules: 2331
% New rule produced :
% [2511]
% A <-> (identity multiply inverse(identity)) multiply (identity multiply A)
% Current number of equations to process: 698
% Current number of ordered equations: 4
% Current number of rules: 2332
% New rule produced :
% [2512]
% identity multiply (inverse(identity) multiply (identity multiply A)) <-> A
% Current number of equations to process: 698
% Current number of ordered equations: 3
% Current number of rules: 2333
% New rule produced :
% [2513]
% identity multiply ((identity multiply inverse(identity)) multiply A) <-> A
% Current number of equations to process: 698
% Current number of ordered equations: 2
% Current number of rules: 2334
% New rule produced :
% [2514]
% inverse(identity) multiply (identity multiply (identity multiply A)) <-> A
% Current number of equations to process: 698
% Current number of ordered equations: 1
% Current number of rules: 2335
% New rule produced :
% [2515]
% (identity multiply inverse(identity)) multiply (identity multiply A) <-> A
% Current number of equations to process: 698
% Current number of ordered equations: 0
% Current number of rules: 2336
% New rule produced :
% [2516]
% A <-> (identity multiply inverse(identity multiply identity)) multiply A
% Current number of equations to process: 697
% Current number of ordered equations: 1
% Current number of rules: 2337
% New rule produced :
% [2517]
% (identity multiply inverse(identity multiply identity)) multiply A <-> A
% Current number of equations to process: 697
% Current number of ordered equations: 0
% Current number of rules: 2338
% New rule produced :
% [2518]
% A <->
% inverse(identity double_divide ((identity multiply identity) multiply A))
% Current number of equations to process: 694
% Current number of ordered equations: 5
% Current number of rules: 2339
% New rule produced :
% [2519]
% A <-> (identity multiply inverse(identity double_divide identity)) multiply A
% Current number of equations to process: 694
% Current number of ordered equations: 4
% Current number of rules: 2340
% New rule produced :
% [2520]
% A <-> inverse(identity double_divide (identity multiply identity)) multiply A
% Current number of equations to process: 694
% Current number of ordered equations: 3
% Current number of rules: 2341
% New rule produced :
% [2521]
% inverse(identity double_divide ((identity multiply identity) multiply A)) <->
% A
% Current number of equations to process: 694
% Current number of ordered equations: 2
% Current number of rules: 2342
% New rule produced :
% [2522]
% (identity multiply inverse(identity double_divide identity)) multiply A <-> A
% Current number of equations to process: 694
% Current number of ordered equations: 1
% Current number of rules: 2343
% New rule produced :
% [2523]
% inverse(identity double_divide (identity multiply identity)) multiply A <-> A
% Current number of equations to process: 694
% Current number of ordered equations: 0
% Current number of rules: 2344
% New rule produced :
% [2524]
% A <-> identity double_divide inverse((identity multiply identity) multiply A)
% Current number of equations to process: 691
% Current number of ordered equations: 5
% Current number of rules: 2345
% New rule produced :
% [2525]
% A <->
% (identity multiply (identity double_divide inverse(identity))) multiply A
% Current number of equations to process: 691
% Current number of ordered equations: 4
% Current number of rules: 2346
% New rule produced :
% [2526]
% A <-> (identity double_divide inverse(identity multiply identity)) multiply A
% Current number of equations to process: 691
% Current number of ordered equations: 3
% Current number of rules: 2347
% New rule produced :
% [2527]
% identity double_divide inverse((identity multiply identity) multiply A) <-> A
% Current number of equations to process: 691
% Current number of ordered equations: 2
% Current number of rules: 2348
% New rule produced :
% [2528]
% (identity multiply (identity double_divide inverse(identity))) multiply A <->
% A
% Current number of equations to process: 691
% Current number of ordered equations: 1
% Current number of rules: 2349
% New rule produced :
% [2529]
% (identity double_divide inverse(identity multiply identity)) multiply A <-> A
% Current number of equations to process: 691
% Current number of ordered equations: 0
% Current number of rules: 2350
% New rule produced :
% [2530] B <-> (identity multiply (inverse(A) double_divide A)) multiply B
% Rule
% [2525]
% A <->
% (identity multiply (identity double_divide inverse(identity))) multiply A
% collapsed.
% Current number of equations to process: 690
% Current number of ordered equations: 1
% Current number of rules: 2350
% New rule produced :
% [2531] (identity multiply (inverse(A) double_divide A)) multiply B <-> B
% Rule
% [2528]
% (identity multiply (identity double_divide inverse(identity))) multiply A <->
% A collapsed.
% Current number of equations to process: 690
% Current number of ordered equations: 0
% Current number of rules: 2350
% New rule produced :
% [2532]
% A <->
% identity multiply (inverse(inverse(inverse(inverse(identity)))) multiply A)
% Current number of equations to process: 688
% Current number of ordered equations: 3
% Current number of rules: 2351
% New rule produced :
% [2533]
% A <->
% inverse(inverse(inverse(inverse(identity)))) multiply (identity multiply A)
% Current number of equations to process: 688
% Current number of ordered equations: 2
% Current number of rules: 2352
% New rule produced :
% [2534]
% identity multiply (inverse(inverse(inverse(inverse(identity)))) multiply A)
% <-> A
% Current number of equations to process: 688
% Current number of ordered equations: 1
% Current number of rules: 2353
% New rule produced :
% [2535]
% inverse(inverse(inverse(inverse(identity)))) multiply (identity multiply A)
% <-> A
% Current number of equations to process: 688
% Current number of ordered equations: 0
% Current number of rules: 2354
% New rule produced :
% [2536]
% A <->
% inverse(identity multiply inverse(identity multiply (identity multiply A)))
% Current number of equations to process: 684
% Current number of ordered equations: 7
% Current number of rules: 2355
% New rule produced :
% [2537]
% A <->
% identity multiply inverse(identity multiply inverse(identity multiply A))
% Current number of equations to process: 684
% Current number of ordered equations: 6
% Current number of rules: 2356
% New rule produced :
% [2538]
% A <->
% identity multiply (inverse(identity multiply inverse(identity)) multiply A)
% Current number of equations to process: 684
% Current number of ordered equations: 5
% Current number of rules: 2357
% New rule produced :
% [2539]
% A <->
% inverse(identity multiply inverse(identity)) multiply (identity multiply A)
% Current number of equations to process: 684
% Current number of ordered equations: 4
% Current number of rules: 2358
% New rule produced :
% [2540]
% inverse(identity multiply inverse(identity multiply (identity multiply A)))
% <-> A
% Current number of equations to process: 684
% Current number of ordered equations: 3
% Current number of rules: 2359
% New rule produced :
% [2541]
% identity multiply inverse(identity multiply inverse(identity multiply A)) <->
% A
% Current number of equations to process: 684
% Current number of ordered equations: 2
% Current number of rules: 2360
% New rule produced :
% [2542]
% identity multiply (inverse(identity multiply inverse(identity)) multiply A)
% <-> A
% Current number of equations to process: 684
% Current number of ordered equations: 1
% Current number of rules: 2361
% New rule produced :
% [2543]
% inverse(identity multiply inverse(identity)) multiply (identity multiply A)
% <-> A
% Current number of equations to process: 684
% Current number of ordered equations: 0
% Current number of rules: 2362
% New rule produced :
% [2544]
% A <->
% identity multiply ((identity multiply inverse(inverse(identity))) multiply A)
% Current number of equations to process: 681
% Current number of ordered equations: 5
% Current number of rules: 2363
% New rule produced :
% [2545]
% A <->
% (identity multiply inverse(inverse(identity))) multiply (identity multiply A)
% Current number of equations to process: 681
% Current number of ordered equations: 4
% Current number of rules: 2364
% New rule produced :
% [2546]
% identity multiply ((identity multiply inverse(inverse(identity))) multiply A)
% <-> A
% Current number of equations to process: 681
% Current number of ordered equations: 3
% Current number of rules: 2365
% New rule produced :
% [2547]
% (identity multiply inverse(inverse(identity))) multiply (identity multiply A)
% <-> A
% Current number of equations to process: 681
% Current number of ordered equations: 2
% Current number of rules: 2366
% New rule produced :
% [2548]
% A <->
% identity multiply inverse(inverse(identity multiply (identity multiply A)))
% Current number of equations to process: 679
% Current number of ordered equations: 5
% Current number of rules: 2367
% New rule produced :
% [2549]
% A <->
% identity multiply (inverse(inverse(identity multiply identity)) multiply A)
% Current number of equations to process: 679
% Current number of ordered equations: 4
% Current number of rules: 2368
% New rule produced :
% [2550]
% A <->
% inverse(inverse(identity multiply identity)) multiply (identity multiply A)
% Current number of equations to process: 679
% Current number of ordered equations: 3
% Current number of rules: 2369
% New rule produced :
% [2551]
% identity multiply inverse(inverse(identity multiply (identity multiply A)))
% <-> A
% Current number of equations to process: 679
% Current number of ordered equations: 2
% Current number of rules: 2370
% New rule produced :
% [2552]
% identity multiply (inverse(inverse(identity multiply identity)) multiply A)
% <-> A
% Current number of equations to process: 679
% Current number of ordered equations: 1
% Current number of rules: 2371
% New rule produced :
% [2553]
% inverse(inverse(identity multiply identity)) multiply (identity multiply A)
% <-> A
% Current number of equations to process: 679
% Current number of ordered equations: 0
% Current number of rules: 2372
% New rule produced :
% [2554]
% A <->
% identity multiply (inverse(inverse(identity)) multiply (identity multiply A))
% Current number of equations to process: 675
% Current number of ordered equations: 3
% Current number of rules: 2373
% New rule produced :
% [2555]
% A <->
% inverse(inverse(identity)) multiply (identity multiply (identity multiply A))
% Current number of equations to process: 675
% Current number of ordered equations: 2
% Current number of rules: 2374
% New rule produced :
% [2556]
% identity multiply (inverse(inverse(identity)) multiply (identity multiply A))
% <-> A
% Current number of equations to process: 675
% Current number of ordered equations: 1
% Current number of rules: 2375
% New rule produced :
% [2557]
% inverse(inverse(identity)) multiply (identity multiply (identity multiply A))
% <-> A
% Current number of equations to process: 675
% Current number of ordered equations: 0
% Current number of rules: 2376
% New rule produced :
% [2558]
% A <->
% identity multiply (identity multiply (identity multiply (identity multiply A)))
% Current number of equations to process: 672
% Current number of ordered equations: 5
% Current number of rules: 2377
% New rule produced :
% [2559]
% A <->
% identity multiply ((identity multiply (identity multiply identity)) multiply A)
% Current number of equations to process: 672
% Current number of ordered equations: 4
% Current number of rules: 2378
% New rule produced :
% [2560]
% A <->
% (identity multiply (identity multiply identity)) multiply (identity multiply A)
% Current number of equations to process: 672
% Current number of ordered equations: 3
% Current number of rules: 2379
% New rule produced :
% [2561]
% identity multiply (identity multiply (identity multiply (identity multiply A)))
% <-> A
% Current number of equations to process: 672
% Current number of ordered equations: 2
% Current number of rules: 2380
% New rule produced :
% [2562]
% identity multiply ((identity multiply (identity multiply identity)) multiply A)
% <-> A
% Current number of equations to process: 672
% Current number of ordered equations: 1
% Current number of rules: 2381
% New rule produced :
% [2563]
% (identity multiply (identity multiply identity)) multiply (identity multiply A)
% <-> A
% Current number of equations to process: 672
% Current number of ordered equations: 0
% Current number of rules: 2382
% New rule produced :
% [2564]
% A <->
% identity multiply ((identity multiply identity) multiply (identity multiply A))
% Current number of equations to process: 668
% Current number of ordered equations: 3
% Current number of rules: 2383
% New rule produced :
% [2565]
% A <->
% (identity multiply identity) multiply (identity multiply (identity multiply A))
% Current number of equations to process: 668
% Current number of ordered equations: 2
% Current number of rules: 2384
% New rule produced :
% [2566]
% identity multiplyCputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------