%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : GRP575-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n072.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 00:23:30 EDT 2014

% Result   : Timeout 300.06s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : GRP575-1 : TPTP v6.0.0. Released v2.6.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n072.star.cs.uiowa.edu
% % Model    : x86_64 x86_64
% % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory   : 32286.75MB
% % OS       : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Fri Jun  6 20:47:18 CDT 2014
% % CPUTime  : 300.06 
% Processing problem /tmp/CiME_30831_n072.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(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B;
% multiply(A,B) = double_divide(double_divide(B,A),identity);
% inverse(A) = double_divide(A,identity);
% identity = double_divide(A,inverse(A));
% ";
% 
% let s1 = status F "
% c3 lr_lex;
% b3 lr_lex;
% a3 lr_lex;
% inverse lr_lex;
% multiply lr_lex;
% identity lr_lex;
% double_divide 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;
% identity mul;
% double_divide 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(B,
% double_divide(C,A)),
% double_divide(C,identity))),
% double_divide(identity,identity)) = B,
% multiply(A,B) =
% double_divide(double_divide(B,A),identity),
% inverse(A) = double_divide(A,identity),
% identity = double_divide(A,inverse(A)) }
% (4 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { multiply(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(B,double_divide(C,A)),
% inverse(C))),inverse(identity)) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced :
% [5]
% double_divide(double_divide(inverse(A),double_divide(inverse(B),inverse(A))),
% inverse(identity)) -> B
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [6] double_divide(inverse(inverse(inverse(A))),inverse(identity)) -> A
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [7]
% double_divide(double_divide(identity,double_divide(double_divide(A,inverse(B)),
% inverse(B))),inverse(identity)) -> A
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [8]
% double_divide(double_divide(inverse(identity),A),inverse(identity)) ->
% inverse(inverse(A))
% Current number of equations to process: 3
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [9]
% double_divide(double_divide(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: 9
% New rule produced :
% [10]
% double_divide(identity,double_divide(double_divide(A,inverse(B)),inverse(B)))
% <->
% double_divide(double_divide(identity,double_divide(A,inverse(identity))),
% inverse(identity))
% Current number of equations to process: 3
% Current number of ordered equations: 1
% Current number of rules: 10
% Rule [10]
% double_divide(identity,double_divide(double_divide(A,inverse(B)),
% inverse(B))) <->
% double_divide(double_divide(identity,double_divide(A,inverse(identity))),
% inverse(identity)) is composed into [10]
% double_divide(identity,double_divide(
% double_divide(A,
% inverse(B)),
% inverse(B)))
% <->
% double_divide(identity,double_divide(
% double_divide(A,
% inverse(c3)),
% inverse(c3)))
% New rule produced :
% [11]
% double_divide(double_divide(identity,double_divide(A,inverse(identity))),
% inverse(identity)) <->
% double_divide(identity,double_divide(double_divide(A,inverse(B)),inverse(B)))
% Current number of equations to process: 3
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [12] inverse(inverse(inverse(inverse(identity)))) -> identity
% Current number of equations to process: 8
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [13]
% double_divide(inverse(inverse(identity)),inverse(identity)) ->
% inverse(inverse(identity))
% Current number of equations to process: 7
% Current number of ordered equations: 0
% Current number of rules: 13
% Rule [10]
% double_divide(identity,double_divide(double_divide(A,inverse(B)),
% inverse(B))) <->
% double_divide(identity,double_divide(double_divide(A,inverse(c3)),
% inverse(c3))) is composed into [10]
% double_divide(identity,
% double_divide(
% double_divide(A,
% inverse(B)),
% inverse(B))) ->
% inverse(inverse(
% inverse(A)))
% New rule produced :
% [14]
% double_divide(identity,double_divide(double_divide(A,inverse(c3)),inverse(c3)))
% -> inverse(inverse(inverse(A)))
% Current number of equations to process: 6
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [15] inverse(inverse(double_divide(inverse(A),inverse(identity)))) -> A
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [16]
% double_divide(inverse(identity),A) ->
% inverse(inverse(inverse(inverse(inverse(A)))))
% Rule
% [8]
% double_divide(double_divide(inverse(identity),A),inverse(identity)) ->
% inverse(inverse(A)) collapsed.
% Current number of equations to process: 10
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [17] inverse(inverse(identity)) -> identity
% Rule [12] inverse(inverse(inverse(inverse(identity)))) -> identity collapsed.
% Rule
% [13]
% double_divide(inverse(inverse(identity)),inverse(identity)) ->
% inverse(inverse(identity)) collapsed.
% Current number of equations to process: 10
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [18] inverse(identity) -> identity
% Rule
% [4]
% double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),
% inverse(C))),inverse(identity)) -> B collapsed.
% Rule
% [5]
% double_divide(double_divide(inverse(A),double_divide(inverse(B),inverse(A))),
% inverse(identity)) -> B collapsed.
% Rule [6] double_divide(inverse(inverse(inverse(A))),inverse(identity)) -> A
% collapsed.
% Rule
% [7]
% double_divide(double_divide(identity,double_divide(double_divide(A,inverse(B)),
% inverse(B))),inverse(identity)) -> A
% collapsed.
% Rule
% [9]
% double_divide(double_divide(identity,double_divide(identity,inverse(A))),
% inverse(identity)) -> A collapsed.
% Rule
% [11]
% double_divide(double_divide(identity,double_divide(A,inverse(identity))),
% inverse(identity)) <->
% double_divide(identity,double_divide(double_divide(A,inverse(B)),inverse(B)))
% collapsed.
% Rule [15] inverse(inverse(double_divide(inverse(A),inverse(identity)))) -> A
% collapsed.
% Rule
% [16]
% double_divide(inverse(identity),A) ->
% inverse(inverse(inverse(inverse(inverse(A))))) collapsed.
% Rule [17] inverse(inverse(identity)) -> identity collapsed.
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [19]
% inverse(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),
% inverse(C)))) -> B
% Current number of equations to process: 14
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [20]
% double_divide(identity,A) -> inverse(inverse(inverse(inverse(inverse(A)))))
% Rule
% [10]
% double_divide(identity,double_divide(double_divide(A,inverse(B)),inverse(B)))
% -> inverse(inverse(inverse(A))) collapsed.
% Rule
% [14]
% double_divide(identity,double_divide(double_divide(A,inverse(c3)),inverse(c3)))
% -> inverse(inverse(inverse(A))) collapsed.
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [21]
% inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% inverse(A))))))))))))
% -> A
% Current number of equations to process: 14
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [22]
% inverse(double_divide(inverse(A),double_divide(inverse(B),inverse(A)))) -> B
% Current number of equations to process: 13
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [23]
% inverse(double_divide(A,inverse(inverse(inverse(inverse(inverse(inverse(
% inverse(A)))))))))
% -> identity
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 9
% Rule [20]
% double_divide(identity,A) ->
% inverse(inverse(inverse(inverse(inverse(A))))) is composed into 
% [20] double_divide(identity,A) -> inverse(A)
% New rule produced : [24] inverse(inverse(inverse(inverse(A)))) -> A
% Rule
% [21]
% inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% inverse(A))))))))))))
% -> A collapsed.
% Rule
% [23]
% inverse(double_divide(A,inverse(inverse(inverse(inverse(inverse(inverse(
% inverse(A)))))))))
% -> identity collapsed.
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [25] inverse(double_divide(A,inverse(inverse(inverse(A))))) -> identity
% Current number of equations to process: 11
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [26]
% inverse(inverse(double_divide(double_divide(A,inverse(B)),inverse(B)))) -> A
% Current number of equations to process: 10
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [27] inverse(double_divide(A,inverse(double_divide(B,inverse(A))))) -> B
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [28]
% inverse(double_divide(A,double_divide(inverse(double_divide(B,A)),inverse(B))))
% -> identity
% Current number of equations to process: 13
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [29]
% double_divide(double_divide(inverse(A),double_divide(inverse(B),inverse(A))),B)
% -> identity
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [30] inverse(double_divide(A,double_divide(inverse(B),A))) -> B
% Rule
% [22]
% inverse(double_divide(inverse(A),double_divide(inverse(B),inverse(A)))) -> B
% collapsed.
% Current number of equations to process: 14
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [31] double_divide(inverse(inverse(inverse(A))),A) -> identity
% Current number of equations to process: 14
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [32] inverse(double_divide(inverse(A),A)) -> identity
% Current number of equations to process: 21
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [33] double_divide(A,inverse(inverse(inverse(A)))) -> identity
% Rule [25] inverse(double_divide(A,inverse(inverse(inverse(A))))) -> identity
% collapsed.
% Current number of equations to process: 20
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [34]
% double_divide(inverse(double_divide(double_divide(A,inverse(B)),inverse(B))),A)
% -> identity
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [35] inverse(inverse(double_divide(double_divide(A,B),B))) -> A
% Rule
% [26]
% inverse(inverse(double_divide(double_divide(A,inverse(B)),inverse(B)))) -> A
% collapsed.
% Current number of equations to process: 19
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [36] inverse(inverse(A)) -> A
% Rule [24] inverse(inverse(inverse(inverse(A)))) -> A collapsed.
% Rule [31] double_divide(inverse(inverse(inverse(A))),A) -> identity
% collapsed.
% Rule [33] double_divide(A,inverse(inverse(inverse(A)))) -> identity
% collapsed.
% Rule [35] inverse(inverse(double_divide(double_divide(A,B),B))) -> A
% collapsed.
% Current number of equations to process: 22
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced : [37] double_divide(inverse(A),A) -> identity
% Rule [32] inverse(double_divide(inverse(A),A)) -> identity collapsed.
% Current number of equations to process: 21
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced : [38] double_divide(double_divide(A,B),B) -> A
% Rule
% [34]
% double_divide(inverse(double_divide(double_divide(A,inverse(B)),inverse(B))),A)
% -> identity collapsed.
% Current number of equations to process: 20
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [39]
% double_divide(double_divide(A,inverse(double_divide(B,inverse(A)))),B) ->
% identity
% Current number of equations to process: 19
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [40] inverse(double_divide(double_divide(A,inverse(B)),A)) -> B
% Current number of equations to process: 22
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [41]
% inverse(double_divide(double_divide(inverse(double_divide(A,B)),inverse(A)),B))
% -> identity
% Current number of equations to process: 28
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [42]
% double_divide(double_divide(A,double_divide(inverse(B),A)),B) -> identity
% Rule
% [29]
% double_divide(double_divide(inverse(A),double_divide(inverse(B),inverse(A))),B)
% -> identity collapsed.
% Current number of equations to process: 30
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [43] inverse(double_divide(A,double_divide(B,A))) -> inverse(B)
% Rule [30] inverse(double_divide(A,double_divide(inverse(B),A))) -> B
% collapsed.
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [44] double_divide(B,inverse(double_divide(A,inverse(B)))) -> inverse(A)
% Rule [27] inverse(double_divide(A,inverse(double_divide(B,inverse(A))))) -> B
% collapsed.
% Rule
% [39]
% double_divide(double_divide(A,inverse(double_divide(B,inverse(A)))),B) ->
% identity collapsed.
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [45] inverse(double_divide(B,A)) <-> inverse(double_divide(A,B))
% Rule [40] inverse(double_divide(double_divide(A,inverse(B)),A)) -> B
% collapsed.
% Rule
% [41]
% inverse(double_divide(double_divide(inverse(double_divide(A,B)),inverse(A)),B))
% -> identity collapsed.
% 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: 44
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [46] inverse(double_divide(A,double_divide(A,inverse(B)))) -> B
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [47] inverse(double_divide(inverse(A),inverse(double_divide(B,A)))) -> B
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [48] double_divide(C,double_divide(inverse(B),C)) -> inverse(B)
% Rule
% [42]
% double_divide(double_divide(A,double_divide(inverse(B),A)),B) -> identity
% collapsed.
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [49]
% double_divide(double_divide(A,double_divide(B,A)),inverse(B)) -> identity
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [50]
% double_divide(A,double_divide(inverse(double_divide(B,A)),inverse(B))) ->
% identity
% Rule
% [28]
% inverse(double_divide(A,double_divide(inverse(double_divide(B,A)),inverse(B))))
% -> identity collapsed.
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [51]
% inverse(double_divide(A,double_divide(B,inverse(C)))) <->
% double_divide(B,double_divide(C,A))
% Current number of equations to process: 42
% Current number of ordered equations: 1
% Current number of rules: 18
% New rule produced :
% [52]
% double_divide(B,double_divide(C,A)) <->
% inverse(double_divide(A,double_divide(B,inverse(C))))
% Rule
% [19]
% inverse(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),
% inverse(C)))) -> B collapsed.
% Rule
% [50]
% double_divide(A,double_divide(inverse(double_divide(B,A)),inverse(B))) ->
% identity collapsed.
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [53]
% double_divide(inverse(C),double_divide(A,inverse(double_divide(B,double_divide(C,A)))))
% -> B
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [54] double_divide(B,double_divide(A,B)) -> A
% Rule [43] inverse(double_divide(A,double_divide(B,A))) -> inverse(B)
% collapsed.
% Rule [48] double_divide(C,double_divide(inverse(B),C)) -> inverse(B)
% collapsed.
% Rule
% [49]
% double_divide(double_divide(A,double_divide(B,A)),inverse(B)) -> identity
% collapsed.
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [55] inverse(double_divide(B,inverse(A))) <-> double_divide(A,inverse(B))
% Current number of equations to process: 44
% Current number of ordered equations: 1
% Current number of rules: 17
% New rule produced :
% [56] double_divide(A,inverse(B)) <-> inverse(double_divide(B,inverse(A)))
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [57] double_divide(inverse(A),inverse(double_divide(A,inverse(B)))) -> B
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [58] double_divide(double_divide(A,inverse(B)),A) -> inverse(B)
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 20
% double_divide(B,A) = double_divide(A,B) (birth = 282, lhs_size = 3, rhs_size = 3,trace = Cp of 45 and 36)
% Initializing completion ...
% New rule produced : [1] identity <-> inverse(identity)
% Current number of equations to process: 45
% Current number of ordered equations: 31
% Current number of rules: 1
% New rule produced : [2] inverse(identity) <-> identity
% Current number of equations to process: 45
% Current number of ordered equations: 30
% Current number of rules: 2
% New rule produced : [3] A <-> inverse(inverse(A))
% Current number of equations to process: 46
% Current number of ordered equations: 29
% Current number of rules: 3
% New rule produced : [4] inverse(inverse(A)) <-> A
% Current number of equations to process: 46
% Current number of ordered equations: 28
% Current number of rules: 4
% New rule produced : [5] inverse(A) <-> identity double_divide A
% Current number of equations to process: 47
% Current number of ordered equations: 27
% Current number of rules: 5
% New rule produced : [6] identity double_divide A <-> inverse(A)
% Current number of equations to process: 47
% Current number of ordered equations: 26
% Current number of rules: 6
% New rule produced : [7] identity <-> inverse(A) double_divide A
% Current number of equations to process: 53
% Current number of ordered equations: 27
% Current number of rules: 7
% New rule produced : [8] inverse(A) double_divide A <-> identity
% Current number of equations to process: 53
% Current number of ordered equations: 26
% Current number of rules: 8
% New rule produced : [9] A <-> (A double_divide B) double_divide B
% Current number of equations to process: 56
% Current number of ordered equations: 36
% Current number of rules: 9
% New rule produced : [10] inverse(A double_divide B) <-> multiply(A,B)
% Current number of equations to process: 56
% Current number of ordered equations: 35
% Current number of rules: 10
% New rule produced : [11] multiply(A,B) <-> inverse(A double_divide B)
% Current number of equations to process: 56
% Current number of ordered equations: 34
% Current number of rules: 11
% New rule produced : [12] (A double_divide B) double_divide B <-> A
% Current number of equations to process: 56
% Current number of ordered equations: 32
% Current number of rules: 12
% New rule produced :
% [13] multiply(A,B) <-> identity double_divide (A double_divide B)
% Current number of equations to process: 71
% Current number of ordered equations: 69
% Current number of rules: 13
% New rule produced :
% [14] identity double_divide (A double_divide B) <-> multiply(A,B)
% Current number of equations to process: 71
% Current number of ordered equations: 68
% Current number of rules: 14
% New rule produced :
% [15] inverse(inverse(A) double_divide B) <-> inverse(B) double_divide A
% Current number of equations to process: 80
% Current number of ordered equations: 97
% Current number of rules: 15
% New rule produced :
% [16] inverse(B) double_divide A <-> inverse(inverse(A) double_divide B)
% Current number of equations to process: 80
% Current number of ordered equations: 96
% Current number of rules: 16
% New rule produced :
% [17] B <-> inverse((inverse(B) double_divide A) double_divide A)
% Current number of equations to process: 103
% Current number of ordered equations: 125
% Current number of rules: 17
% New rule produced :
% [18] inverse((inverse(B) double_divide A) double_divide A) <-> B
% Current number of equations to process: 103
% Current number of ordered equations: 124
% Current number of rules: 18
% New rule produced :
% [19] inverse(A) <-> inverse(inverse(B) double_divide A) double_divide B
% Current number of equations to process: 135
% Current number of ordered equations: 171
% Current number of rules: 19
% New rule produced :
% [20] inverse(inverse(B) double_divide A) double_divide B <-> inverse(A)
% Current number of equations to process: 135
% Current number of ordered equations: 170
% Current number of rules: 20
% New rule produced :
% [21] B <-> inverse(inverse(A double_divide B) double_divide inverse(A))
% Current number of equations to process: 171
% Current number of ordered equations: 205
% Current number of rules: 21
% New rule produced :
% [22] B <-> inverse(inverse(B) double_divide A) double_divide inverse(A)
% Current number of equations to process: 171
% Current number of ordered equations: 204
% Current number of rules: 22
% New rule produced :
% [23] inverse(inverse(A double_divide B) double_divide inverse(A)) <-> B
% Current number of equations to process: 171
% Current number of ordered equations: 203
% Current number of rules: 23
% New rule produced :
% [24] inverse(inverse(B) double_divide A) double_divide inverse(A) <-> B
% Current number of equations to process: 171
% Current number of ordered equations: 202
% Current number of rules: 24
% New rule produced :
% [25]
% inverse((inverse(C) double_divide B) double_divide A) <->
% (A double_divide C) double_divide B
% Current number of equations to process: 290
% Current number of ordered equations: 337
% Current number of rules: 25
% New rule produced :
% [26]
% (A double_divide C) double_divide B <->
% inverse((inverse(C) double_divide B) double_divide A)
% Current number of equations to process: 290
% Current number of ordered equations: 336
% Current number of rules: 26
% New rule produced :
% [27]
% B <->
% inverse(C) double_divide (inverse((A double_divide C) double_divide B) double_divide A)
% Current number of equations to process: 261
% Current number of ordered equations: 639
% Current number of rules: 27
% New rule produced :
% [28]
% inverse(C) double_divide (inverse((A double_divide C) double_divide B) double_divide A)
% <-> B
% Current number of equations to process: 261
% Current number of ordered equations: 638
% Current number of rules: 28
% New rule produced :
% [29]
% B <->
% (identity double_divide identity) double_divide (((identity double_divide C) double_divide 
% ((A double_divide C) double_divide B)) double_divide A)
% Current number of equations to process: 132
% Current number of ordered equations: 1231
% Current number of rules: 29
% New rule produced :
% [30]
% (identity double_divide identity) double_divide (((identity double_divide C) double_divide 
% ((A double_divide C) double_divide B)) double_divide A)
% <-> B
% Current number of equations to process: 132
% Current number of ordered equations: 1230
% Current number of rules: 30
% New rule produced : [31] identity <-> identity double_divide identity
% Current number of equations to process: 132
% Current number of ordered equations: 1228
% Current number of rules: 31
% New rule produced : [32] identity double_divide identity <-> identity
% Current number of equations to process: 132
% Current number of ordered equations: 1226
% Current number of rules: 32
% New rule produced : [33] A <-> multiply(A,identity)
% Current number of equations to process: 132
% Current number of ordered equations: 1225
% Current number of rules: 33
% New rule produced : [34] A <-> multiply(identity,A)
% Current number of equations to process: 132
% Current number of ordered equations: 1224
% Current number of rules: 34
% New rule produced : [35] multiply(A,identity) <-> A
% Current number of equations to process: 132
% Current number of ordered equations: 1223
% Current number of rules: 35
% New rule produced : [36] multiply(identity,A) <-> A
% Current number of equations to process: 132
% Current number of ordered equations: 1222
% Current number of rules: 36
% New rule produced : [37] identity <-> inverse(inverse(inverse(identity)))
% Current number of equations to process: 132
% Current number of ordered equations: 1221
% Current number of rules: 37
% New rule produced : [38] inverse(inverse(inverse(identity))) <-> identity
% Current number of equations to process: 132
% Current number of ordered equations: 1220
% Current number of rules: 38
% New rule produced : [39] A <-> inverse(identity double_divide A)
% Current number of equations to process: 132
% Current number of ordered equations: 1215
% Current number of rules: 39
% New rule produced : [40] A <-> identity double_divide inverse(A)
% Current number of equations to process: 132
% Current number of ordered equations: 1211
% Current number of rules: 40
% New rule produced : [41] inverse(identity double_divide A) <-> A
% Current number of equations to process: 132
% Current number of ordered equations: 1206
% Current number of rules: 41
% New rule produced : [42] identity double_divide inverse(A) <-> A
% Current number of equations to process: 132
% Current number of ordered equations: 1202
% Current number of rules: 42
% multiply(B,A) = multiply(A,B) (birth = 81, 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: 53
% Current number of rules: 1
% New rule produced : [2] inverse(identity) <-> identity
% Current number of equations to process: 1
% Current number of ordered equations: 52
% 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: 51
% 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: 49
% 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: 47
% 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: 46
% 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: 45
% 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: 43
% 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: 41
% 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: 40
% 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: 39
% 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: 39
% 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: 37
% 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: 35
% 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: 33
% Current number of rules: 15
% New rule produced : [16] inverse(inverse(inverse(identity))) <-> identity
% Current number of equations to process: 33
% Current number of ordered equations: 31
% Current number of rules: 16
% New rule produced : [17] inverse(identity double_divide A) <-> A
% Current number of equations to process: 33
% Current number of ordered equations: 29
% 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: 28
% 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: 26
% 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: 24
% Current number of rules: 20
% New rule produced : [21] A <-> (A double_divide B) double_divide B
% Current number of equations to process: 148
% Current number of ordered equations: 48
% Current number of rules: 21
% New rule produced : [22] inverse(A double_divide B) <-> A multiply B
% Current number of equations to process: 148
% Current number of ordered equations: 47
% Current number of rules: 22
% New rule produced : [23] A multiply B <-> inverse(A double_divide B)
% Current number of equations to process: 148
% Current number of ordered equations: 46
% Current number of rules: 23
% New rule produced : [24] (A double_divide B) double_divide B <-> A
% Current number of equations to process: 148
% Current number of ordered equations: 45
% 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: 154
% Current number of ordered equations: 150
% 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: 154
% Current number of ordered equations: 149
% Current number of rules: 26
% New rule produced :
% [27] inverse(inverse(A) double_divide B) <-> inverse(B) double_divide A
% Current number of equations to process: 125
% Current number of ordered equations: 263
% Current number of rules: 27
% New rule produced :
% [28] inverse(B) double_divide A <-> inverse(inverse(A) double_divide B)
% Current number of equations to process: 125
% Current number of ordered equations: 262
% Current number of rules: 28
% New rule produced :
% [29] B <-> inverse((inverse(B) double_divide A) double_divide A)
% Current number of equations to process: 158
% Current number of ordered equations: 312
% Current number of rules: 29
% New rule produced :
% [30] inverse((inverse(B) double_divide A) double_divide A) <-> B
% Current number of equations to process: 158
% Current number of ordered equations: 311
% Current number of rules: 30
% New rule produced :
% [31] inverse(A) <-> inverse(inverse(B) double_divide A) double_divide B
% Current number of equations to process: 178
% Current number of ordered equations: 438
% Current number of rules: 31
% New rule produced :
% [32] inverse(inverse(B) double_divide A) double_divide B <-> inverse(A)
% Current number of equations to process: 178
% Current number of ordered equations: 437
% Current number of rules: 32
% New rule produced :
% [33] B <-> inverse(inverse(A double_divide B) double_divide inverse(A))
% Current number of equations to process: 233
% Current number of ordered equations: 484
% Current number of rules: 33
% New rule produced :
% [34] B <-> inverse(inverse(B) double_divide A) double_divide inverse(A)
% Current number of equations to process: 233
% Current number of ordered equations: 483
% Current number of rules: 34
% New rule produced :
% [35] inverse(inverse(A double_divide B) double_divide inverse(A)) <-> B
% Current number of equations to process: 233
% Current number of ordered equations: 482
% Current number of rules: 35
% New rule produced :
% [36] inverse(inverse(B) double_divide A) double_divide inverse(A) <-> B
% Current number of equations to process: 233
% Current number of ordered equations: 481
% Current number of rules: 36
% New rule produced :
% [37]
% inverse((inverse(C) double_divide B) double_divide A) <->
% (A double_divide C) double_divide B
% Current number of equations to process: 391
% Current number of ordered equations: 708
% Current number of rules: 37
% New rule produced :
% [38]
% (A double_divide C) double_divide B <->
% inverse((inverse(C) double_divide B) double_divide A)
% Current number of equations to process: 391
% Current number of ordered equations: 707
% Current number of rules: 38
% New rule produced :
% [39]
% B <->
% inverse(C) double_divide (inverse((A double_divide C) double_divide B) double_divide A)
% Current number of equations to process: 286
% Current number of ordered equations: 1192
% Current number of rules: 39
% New rule produced :
% [40]
% inverse(C) double_divide (inverse((A double_divide C) double_divide B) double_divide A)
% <-> B
% Current number of equations to process: 286
% Current number of ordered equations: 1191
% Current number of rules: 40
% New rule produced :
% [41]
% B <->
% (identity double_divide identity) double_divide (((identity double_divide C) double_divide 
% ((A double_divide C) double_divide B)) double_divide A)
% Current number of equations to process: 117
% Current number of ordered equations: 1942
% Current number of rules: 41
% New rule produced :
% [42]
% (identity double_divide identity) double_divide (((identity double_divide C) double_divide 
% ((A double_divide C) double_divide B)) double_divide A)
% <-> B
% Current number of equations to process: 117
% Current number of ordered equations: 1941
% Current number of rules: 42
% New rule produced : [43] (eq)(A,identity multiply A) -> (false)
% Current number of equations to process: 117
% Current number of ordered equations: 1939
% Current number of rules: 43
% New rule produced : [44] (eq)(inverse(inverse(A)),A) -> (false)
% Current number of equations to process: 117
% Current number of ordered equations: 1938
% Current number of rules: 44
% New rule produced : [45] inverse(identity) <-> identity multiply identity
% Current number of equations to process: 117
% Current number of ordered equations: 1936
% Current number of rules: 45
% New rule produced : [46] identity multiply identity <-> inverse(identity)
% Current number of equations to process: 117
% Current number of ordered equations: 1934
% Current number of rules: 46
% New rule produced :
% [47] (eq)(inverse(identity),identity multiply identity) -> (false)
% Current number of equations to process: 117
% Current number of ordered equations: 1933
% Current number of rules: 47
% New rule produced : [48] identity <-> inverse(identity multiply identity)
% Current number of equations to process: 117
% Current number of ordered equations: 1932
% Current number of rules: 48
% New rule produced : [49] identity <-> identity multiply inverse(identity)
% Current number of equations to process: 117
% Current number of ordered equations: 1931
% Current number of rules: 49
% New rule produced : [50] inverse(identity multiply identity) <-> identity
% Current number of equations to process: 117
% Current number of ordered equations: 1930
% Current number of rules: 50
% New rule produced : [51] identity multiply inverse(identity) <-> identity
% Current number of equations to process: 117
% Current number of ordered equations: 1929
% Current number of rules: 51
% New rule produced : [52] inverse(inverse(A)) <-> identity multiply A
% Current number of equations to process: 117
% Current number of ordered equations: 1927
% Current number of rules: 52
% New rule produced : [53] identity multiply A <-> inverse(inverse(A))
% Current number of equations to process: 117
% Current number of ordered equations: 1925
% Current number of rules: 53
% New rule produced :
% [54] inverse(inverse(identity)) <-> identity double_divide identity
% Current number of equations to process: 117
% Current number of ordered equations: 1922
% Current number of rules: 54
% New rule produced :
% [55] identity double_divide identity <-> inverse(inverse(identity))
% Current number of equations to process: 117
% Current number of ordered equations: 1919
% Current number of rules: 55
% New rule produced :
% [56] identity multiply identity <-> identity double_divide identity
% Current number of equations to process: 117
% Current number of ordered equations: 1917
% Current number of rules: 56
% New rule produced :
% [57] identity double_divide identity <-> identity multiply identity
% Current number of equations to process: 117
% Current number of ordered equations: 1915
% Current number of rules: 57
% New rule produced : [58] A <-> inverse(identity) multiply A
% Rule [49] identity <-> identity multiply inverse(identity) collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1914
% Current number of rules: 57
% New rule produced : [59] inverse(identity) multiply A <-> A
% Rule [51] identity multiply inverse(identity) <-> identity collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1913
% Current number of rules: 57
% New rule produced :
% [60] (eq)(identity,identity multiply inverse(identity)) -> (false)
% Current number of equations to process: 117
% Current number of ordered equations: 1912
% Current number of rules: 58
% New rule produced : [61] inverse(A) <-> inverse(identity) double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1904
% Current number of rules: 59
% New rule produced : [62] inverse(identity) double_divide A <-> inverse(A)
% Current number of equations to process: 117
% Current number of ordered equations: 1896
% Current number of rules: 60
% New rule produced : [63] inverse(identity) <-> inverse(A) double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1892
% Current number of rules: 61
% New rule produced : [64] inverse(A) double_divide A <-> inverse(identity)
% Current number of equations to process: 117
% Current number of ordered equations: 1888
% Current number of rules: 62
% New rule produced : [65] inverse(identity) <-> inverse(A) multiply A
% Current number of equations to process: 117
% Current number of ordered equations: 1887
% Current number of rules: 63
% New rule produced : [66] inverse(A) multiply A <-> inverse(identity)
% Current number of equations to process: 117
% Current number of ordered equations: 1886
% Current number of rules: 64
% New rule produced : [67] A <-> inverse(inverse(inverse(inverse(A))))
% Current number of equations to process: 117
% Current number of ordered equations: 1883
% Current number of rules: 65
% New rule produced : [68] inverse(inverse(inverse(inverse(A)))) <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1880
% Current number of rules: 66
% New rule produced : [69] A <-> inverse(identity multiply inverse(A))
% Current number of equations to process: 117
% Current number of ordered equations: 1878
% Current number of rules: 67
% New rule produced : [70] A <-> identity multiply inverse(inverse(A))
% Current number of equations to process: 117
% Current number of ordered equations: 1877
% Current number of rules: 68
% New rule produced : [71] inverse(identity multiply inverse(A)) <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1875
% Current number of rules: 69
% New rule produced : [72] identity multiply inverse(inverse(A)) <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1874
% Current number of rules: 70
% New rule produced : [73] A <-> inverse(inverse(identity multiply A))
% Current number of equations to process: 117
% Current number of ordered equations: 1873
% Current number of rules: 71
% New rule produced : [74] A <-> inverse(inverse(identity)) multiply A
% Current number of equations to process: 117
% Current number of ordered equations: 1872
% Current number of rules: 72
% New rule produced : [75] inverse(inverse(identity multiply A)) <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1871
% Current number of rules: 73
% New rule produced : [76] inverse(inverse(identity)) multiply A <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1870
% Current number of rules: 74
% New rule produced : [77] A <-> (identity multiply identity) multiply A
% Current number of equations to process: 117
% Current number of ordered equations: 1869
% Current number of rules: 75
% New rule produced : [78] A <-> identity multiply (identity multiply A)
% Current number of equations to process: 117
% Current number of ordered equations: 1868
% Current number of rules: 76
% New rule produced : [79] (identity multiply identity) multiply A <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1867
% Current number of rules: 77
% New rule produced : [80] identity multiply (identity multiply A) <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1866
% Current number of rules: 78
% New rule produced : [81] A <-> (identity double_divide identity) multiply A
% Current number of equations to process: 117
% Current number of ordered equations: 1864
% Current number of rules: 79
% New rule produced : [82] (identity double_divide identity) multiply A <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1862
% Current number of rules: 80
% New rule produced :
% [83] identity <-> inverse(inverse(identity double_divide identity))
% Current number of equations to process: 117
% Current number of ordered equations: 1859
% Current number of rules: 81
% New rule produced :
% [84] identity <-> identity double_divide inverse(inverse(identity))
% Current number of equations to process: 117
% Current number of ordered equations: 1855
% Current number of rules: 82
% New rule produced :
% [85] inverse(inverse(identity double_divide identity)) <-> identity
% Current number of equations to process: 117
% Current number of ordered equations: 1852
% Current number of rules: 83
% New rule produced :
% [86] identity double_divide inverse(inverse(identity)) <-> identity
% Current number of equations to process: 117
% Current number of ordered equations: 1848
% Current number of rules: 84
% New rule produced :
% [87] identity <-> identity double_divide (identity multiply identity)
% Current number of equations to process: 117
% Current number of ordered equations: 1847
% Current number of rules: 85
% New rule produced :
% [88] identity double_divide (identity multiply identity) <-> identity
% Current number of equations to process: 117
% Current number of ordered equations: 1846
% Current number of rules: 86
% New rule produced :
% [89] inverse(inverse(inverse(A))) <-> identity double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1844
% Current number of rules: 87
% New rule produced :
% [90] identity double_divide A <-> inverse(inverse(inverse(A)))
% Current number of equations to process: 117
% Current number of ordered equations: 1842
% Current number of rules: 88
% New rule produced :
% [91] identity multiply inverse(A) <-> identity double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1840
% Current number of rules: 89
% New rule produced :
% [92] identity double_divide A <-> identity multiply inverse(A)
% Current number of equations to process: 117
% Current number of ordered equations: 1838
% Current number of rules: 90
% New rule produced :
% [93]
% inverse(identity double_divide identity) <-> identity double_divide identity
% Current number of equations to process: 117
% Current number of ordered equations: 1837
% Current number of rules: 91
% New rule produced :
% [94]
% identity double_divide identity <-> inverse(identity double_divide identity)
% Current number of equations to process: 117
% Current number of ordered equations: 1836
% Current number of rules: 92
% New rule produced :
% [95] identity <-> inverse(identity double_divide inverse(identity))
% Current number of equations to process: 117
% Current number of ordered equations: 1834
% Current number of rules: 93
% New rule produced :
% [96] inverse(identity double_divide inverse(identity)) <-> identity
% Current number of equations to process: 117
% Current number of ordered equations: 1832
% Current number of rules: 94
% New rule produced :
% [97] identity multiply A <-> identity double_divide inverse(A)
% Current number of equations to process: 117
% Current number of ordered equations: 1830
% Current number of rules: 95
% New rule produced :
% [98] identity double_divide inverse(A) <-> identity multiply A
% Current number of equations to process: 117
% Current number of ordered equations: 1828
% Current number of rules: 96
% New rule produced :
% [99] inverse(inverse(inverse(identity))) <-> identity multiply identity
% Current number of equations to process: 117
% Current number of ordered equations: 1827
% Current number of rules: 97
% New rule produced :
% [100] identity multiply identity <-> inverse(inverse(inverse(identity)))
% Current number of equations to process: 117
% Current number of ordered equations: 1826
% Current number of rules: 98
% New rule produced : [101] identity <-> inverse(inverse(A) double_divide A)
% Rule [95] identity <-> inverse(identity double_divide inverse(identity))
% collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1821
% Current number of rules: 98
% New rule produced : [102] inverse(inverse(A) double_divide A) <-> identity
% Rule [96] inverse(identity double_divide inverse(identity)) <-> identity
% collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1816
% Current number of rules: 98
% New rule produced :
% [103] inverse(inverse(identity)) <-> inverse(A) double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1815
% Current number of rules: 99
% New rule produced :
% [104] inverse(A) double_divide A <-> inverse(inverse(identity))
% Current number of equations to process: 117
% Current number of ordered equations: 1814
% Current number of rules: 100
% New rule produced :
% [105] identity multiply identity <-> inverse(A) double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1813
% Current number of rules: 101
% New rule produced :
% [106] inverse(A) double_divide A <-> identity multiply identity
% Current number of equations to process: 117
% Current number of ordered equations: 1812
% Current number of rules: 102
% New rule produced :
% [107] identity double_divide identity <-> inverse(A) double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1811
% Current number of rules: 103
% New rule produced :
% [108] inverse(A) double_divide A <-> identity double_divide identity
% Current number of equations to process: 117
% Current number of ordered equations: 1810
% Current number of rules: 104
% New rule produced : [109] A <-> inverse(inverse(identity) double_divide A)
% Current number of equations to process: 117
% Current number of ordered equations: 1804
% Current number of rules: 105
% New rule produced : [110] inverse(inverse(identity) double_divide A) <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1798
% Current number of rules: 106
% New rule produced :
% [111] (eq)(inverse(inverse(A)),inverse(identity) multiply A) -> (false)
% Current number of equations to process: 117
% Current number of ordered equations: 1797
% Current number of rules: 107
% New rule produced :
% [112] (eq)(identity double_divide inverse(A),identity multiply A) -> (false)
% Current number of equations to process: 117
% Current number of ordered equations: 1796
% Current number of rules: 108
% New rule produced :
% [113] (eq)(inverse(identity double_divide A),identity multiply A) -> (false)
% Current number of equations to process: 117
% Current number of ordered equations: 1795
% Current number of rules: 109
% New rule produced : [114] A <-> inverse(identity) double_divide inverse(A)
% Current number of equations to process: 117
% Current number of ordered equations: 1791
% Current number of rules: 110
% New rule produced : [115] inverse(identity) double_divide inverse(A) <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1787
% Current number of rules: 111
% New rule produced : [116] inverse(A multiply B) <-> A double_divide B
% Current number of equations to process: 117
% Current number of ordered equations: 1783
% Current number of rules: 112
% New rule produced : [117] A double_divide B <-> inverse(A multiply B)
% Current number of equations to process: 117
% Current number of ordered equations: 1779
% Current number of rules: 113
% New rule produced :
% [118] (eq)(inverse(inverse(A)),inverse(identity double_divide A)) -> (false)
% Current number of equations to process: 117
% Current number of ordered equations: 1778
% Current number of rules: 114
% New rule produced :
% [119] inverse(A) multiply A <-> identity double_divide identity
% Current number of equations to process: 117
% Current number of ordered equations: 1777
% Current number of rules: 115
% New rule produced :
% [120] identity double_divide identity <-> inverse(A) multiply A
% Current number of equations to process: 117
% Current number of ordered equations: 1776
% Current number of rules: 116
% New rule produced :
% [121] inverse(A) <-> inverse(inverse(identity)) double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1775
% Current number of rules: 117
% New rule produced :
% [122] inverse(inverse(identity)) double_divide A <-> inverse(A)
% Current number of equations to process: 117
% Current number of ordered equations: 1774
% Current number of rules: 118
% New rule produced :
% [123] inverse(A) <-> (identity multiply identity) double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1773
% Current number of rules: 119
% New rule produced :
% [124] inverse(A) <-> identity multiply (identity double_divide A)
% Current number of equations to process: 117
% Current number of ordered equations: 1772
% Current number of rules: 120
% New rule produced :
% [125] (identity multiply identity) double_divide A <-> inverse(A)
% Current number of equations to process: 117
% Current number of ordered equations: 1771
% Current number of rules: 121
% New rule produced :
% [126] identity multiply (identity double_divide A) <-> inverse(A)
% Current number of equations to process: 117
% Current number of ordered equations: 1770
% Current number of rules: 122
% New rule produced :
% [127] inverse(A) <-> (identity double_divide identity) double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1769
% Current number of rules: 123
% New rule produced :
% [128] (identity double_divide identity) double_divide A <-> inverse(A)
% Current number of equations to process: 117
% Current number of ordered equations: 1768
% Current number of rules: 124
% New rule produced :
% [129] inverse(identity double_divide A) <-> identity double_divide inverse(A)
% Current number of equations to process: 117
% Current number of ordered equations: 1766
% Current number of rules: 125
% New rule produced :
% [130] identity double_divide inverse(A) <-> inverse(identity double_divide A)
% Current number of equations to process: 117
% Current number of ordered equations: 1764
% Current number of rules: 126
% New rule produced :
% [131]
% inverse(inverse(inverse(identity))) <->
% identity double_divide inverse(identity)
% Current number of equations to process: 117
% Current number of ordered equations: 1763
% Current number of rules: 127
% New rule produced :
% [132]
% identity double_divide inverse(identity) <->
% inverse(inverse(inverse(identity)))
% Current number of equations to process: 117
% Current number of ordered equations: 1762
% Current number of rules: 128
% New rule produced :
% [133] inverse(A) double_divide A <-> inverse(B) double_divide B
% Current number of equations to process: 117
% Current number of ordered equations: 1758
% Current number of rules: 129
% New rule produced :
% [134] inverse(identity double_divide identity) <-> inverse(A) double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1757
% Current number of rules: 130
% New rule produced :
% [135] inverse(A) double_divide A <-> inverse(identity double_divide identity)
% Current number of equations to process: 117
% Current number of ordered equations: 1756
% Current number of rules: 131
% New rule produced :
% [136] inverse(inverse(inverse(identity))) <-> inverse(A) double_divide A
% Rule
% [131]
% inverse(inverse(inverse(identity))) <->
% identity double_divide inverse(identity) collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1755
% Current number of rules: 131
% New rule produced :
% [137] inverse(A) double_divide A <-> inverse(inverse(inverse(identity)))
% Rule
% [132]
% identity double_divide inverse(identity) <->
% inverse(inverse(inverse(identity))) collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1754
% Current number of rules: 131
% New rule produced :
% [138]
% (eq)(inverse(identity),identity multiply inverse(inverse(identity))) ->
% (false)
% Current number of equations to process: 117
% Current number of ordered equations: 1753
% Current number of rules: 132
% New rule produced :
% [139]
% (eq)(inverse(A),identity multiply (identity double_divide A)) -> (false)
% Current number of equations to process: 117
% Current number of ordered equations: 1752
% Current number of rules: 133
% New rule produced :
% [140] inverse(identity) <-> (identity double_divide A) double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1750
% Current number of rules: 134
% New rule produced :
% [141] (identity double_divide A) double_divide A <-> inverse(identity)
% Current number of equations to process: 117
% Current number of ordered equations: 1748
% Current number of rules: 135
% New rule produced : [142] inverse(A) <-> (A double_divide B) multiply B
% Rule [124] inverse(A) <-> identity multiply (identity double_divide A)
% collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1747
% Current number of rules: 135
% New rule produced : [143] (A double_divide B) multiply B <-> inverse(A)
% Rule [126] identity multiply (identity double_divide A) <-> inverse(A)
% collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1746
% Current number of rules: 135
% New rule produced :
% [144] inverse(inverse(inverse(A))) <-> inverse(identity) double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1744
% Current number of rules: 136
% New rule produced :
% [145] inverse(identity) double_divide A <-> inverse(inverse(inverse(A)))
% Current number of equations to process: 117
% Current number of ordered equations: 1742
% Current number of rules: 137
% New rule produced :
% [146] inverse(A) multiply B <-> inverse(B) double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1741
% Current number of rules: 138
% New rule produced :
% [147] inverse(B) double_divide A <-> inverse(A) multiply B
% Current number of equations to process: 117
% Current number of ordered equations: 1740
% Current number of rules: 139
% New rule produced :
% [148] A <-> inverse(inverse(identity double_divide inverse(A)))
% Current number of equations to process: 117
% Current number of ordered equations: 1737
% Current number of rules: 140
% New rule produced :
% [149] A <-> inverse(identity double_divide inverse(inverse(A)))
% Current number of equations to process: 117
% Current number of ordered equations: 1734
% Current number of rules: 141
% New rule produced :
% [150] inverse(inverse(identity double_divide inverse(A))) <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1731
% Current number of rules: 142
% New rule produced :
% [151] inverse(identity double_divide inverse(inverse(A))) <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1728
% Current number of rules: 143
% New rule produced :
% [152] A <-> inverse(identity double_divide (identity multiply A))
% Current number of equations to process: 117
% Current number of ordered equations: 1727
% Current number of rules: 144
% New rule produced :
% [153] A <-> inverse(identity double_divide identity) multiply A
% Current number of equations to process: 117
% Current number of ordered equations: 1726
% Current number of rules: 145
% New rule produced :
% [154] inverse(identity double_divide (identity multiply A)) <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1725
% Current number of rules: 146
% New rule produced :
% [155] inverse(identity double_divide identity) multiply A <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1724
% Current number of rules: 147
% New rule produced :
% [156]
% identity <->
% inverse(identity double_divide (identity double_divide identity))
% Current number of equations to process: 117
% Current number of ordered equations: 1723
% Current number of rules: 148
% New rule produced :
% [157]
% identity <-> identity double_divide inverse(identity double_divide identity)
% Current number of equations to process: 117
% Current number of ordered equations: 1721
% Current number of rules: 149
% New rule produced :
% [158]
% inverse(identity double_divide (identity double_divide identity)) <->
% identity
% Current number of equations to process: 117
% Current number of ordered equations: 1720
% Current number of rules: 150
% New rule produced :
% [159]
% identity double_divide inverse(identity double_divide identity) <-> identity
% Current number of equations to process: 117
% Current number of ordered equations: 1718
% Current number of rules: 151
% New rule produced :
% [160] inverse(identity double_divide inverse(A)) <-> identity double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1716
% Current number of rules: 152
% New rule produced :
% [161] identity double_divide A <-> inverse(identity double_divide inverse(A))
% Current number of equations to process: 117
% Current number of ordered equations: 1714
% Current number of rules: 153
% New rule produced :
% [162] A <-> identity double_divide inverse(inverse(inverse(A)))
% Current number of equations to process: 117
% Current number of ordered equations: 1711
% Current number of rules: 154
% New rule produced :
% [163] identity double_divide inverse(inverse(inverse(A))) <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1708
% Current number of rules: 155
% New rule produced :
% [164] A <-> identity double_divide inverse(identity multiply A)
% Current number of equations to process: 117
% Current number of ordered equations: 1707
% Current number of rules: 156
% New rule produced :
% [165] A <-> (identity double_divide inverse(identity)) multiply A
% Current number of equations to process: 117
% Current number of ordered equations: 1706
% Current number of rules: 157
% New rule produced :
% [166] identity double_divide inverse(identity multiply A) <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1705
% Current number of rules: 158
% New rule produced :
% [167] (identity double_divide inverse(identity)) multiply A <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1704
% Current number of rules: 159
% New rule produced :
% [168]
% identity <->
% identity double_divide (identity double_divide inverse(identity))
% Current number of equations to process: 117
% Current number of ordered equations: 1703
% Current number of rules: 160
% New rule produced :
% [169]
% identity double_divide (identity double_divide inverse(identity)) <->
% identity
% Current number of equations to process: 117
% Current number of ordered equations: 1702
% Current number of rules: 161
% New rule produced :
% [170] A <-> inverse(inverse(inverse(identity))) multiply A
% Current number of equations to process: 117
% Current number of ordered equations: 1700
% Current number of rules: 162
% New rule produced :
% [171] inverse(inverse(inverse(identity))) multiply A <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1698
% Current number of rules: 163
% New rule produced : [172] B <-> (inverse(A) double_divide A) multiply B
% Rule [165] A <-> (identity double_divide inverse(identity)) multiply A
% collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1696
% Current number of rules: 163
% New rule produced : [173] (inverse(A) double_divide A) multiply B <-> B
% Rule [167] (identity double_divide inverse(identity)) multiply A <-> A
% collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1694
% Current number of rules: 163
% New rule produced :
% [174] identity <-> identity double_divide (inverse(A) double_divide A)
% Rule
% [168]
% identity <->
% identity double_divide (identity double_divide inverse(identity)) collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1693
% Current number of rules: 163
% New rule produced :
% [175] identity double_divide (inverse(A) double_divide A) <-> identity
% Rule
% [169]
% identity double_divide (identity double_divide inverse(identity)) <->
% identity collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1692
% Current number of rules: 163
% New rule produced :
% [176] identity <-> inverse(inverse(inverse(inverse(inverse(identity)))))
% Current number of equations to process: 117
% Current number of ordered equations: 1691
% Current number of rules: 164
% New rule produced :
% [177] inverse(inverse(inverse(inverse(inverse(identity))))) <-> identity
% Current number of equations to process: 117
% Current number of ordered equations: 1690
% Current number of rules: 165
% New rule produced :
% [178] identity <-> inverse(identity multiply inverse(inverse(identity)))
% Current number of equations to process: 117
% Current number of ordered equations: 1689
% Current number of rules: 166
% New rule produced :
% [179] identity <-> inverse(inverse(inverse(identity multiply identity)))
% Current number of equations to process: 117
% Current number of ordered equations: 1688
% Current number of rules: 167
% New rule produced :
% [180] identity <-> inverse(inverse(identity multiply inverse(identity)))
% Current number of equations to process: 117
% Current number of ordered equations: 1687
% Current number of rules: 168
% New rule produced :
% [181] inverse(identity multiply inverse(inverse(identity))) <-> identity
% Current number of equations to process: 117
% Current number of ordered equations: 1686
% Current number of rules: 169
% New rule produced :
% [182] inverse(inverse(inverse(identity multiply identity))) <-> identity
% Current number of equations to process: 117
% Current number of ordered equations: 1685
% Current number of rules: 170
% New rule produced :
% [183] inverse(inverse(identity multiply inverse(identity))) <-> identity
% Current number of equations to process: 117
% Current number of ordered equations: 1684
% Current number of rules: 171
% New rule produced :
% [184] identity <-> inverse(inverse(inverse(identity double_divide identity)))
% Current number of equations to process: 117
% Current number of ordered equations: 1683
% Current number of rules: 172
% New rule produced :
% [185] inverse(inverse(inverse(identity double_divide identity))) <-> identity
% Current number of equations to process: 117
% Current number of ordered equations: 1682
% Current number of rules: 173
% New rule produced :
% [186] A <-> inverse(inverse(inverse(identity double_divide A)))
% Rule
% [184] identity <-> inverse(inverse(inverse(identity double_divide identity)))
% collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1681
% Current number of rules: 173
% New rule produced :
% [187] A <-> inverse(inverse(inverse(identity)) double_divide A)
% Current number of equations to process: 117
% Current number of ordered equations: 1680
% Current number of rules: 174
% New rule produced :
% [188] inverse(inverse(inverse(identity double_divide A))) <-> A
% Rule
% [185] inverse(inverse(inverse(identity double_divide identity))) <-> identity
% collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1679
% Current number of rules: 174
% New rule produced :
% [189] inverse(inverse(inverse(identity)) double_divide A) <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1678
% Current number of rules: 175
% New rule produced :
% [190] A <-> inverse(identity multiply (identity double_divide A))
% Current number of equations to process: 117
% Current number of ordered equations: 1677
% Current number of rules: 176
% New rule produced :
% [191] A <-> inverse((identity multiply identity) double_divide A)
% Current number of equations to process: 117
% Current number of ordered equations: 1676
% Current number of rules: 177
% New rule produced :
% [192] A <-> identity multiply inverse(identity double_divide A)
% Current number of equations to process: 117
% Current number of ordered equations: 1675
% Current number of rules: 178
% New rule produced :
% [193] inverse(identity multiply (identity double_divide A)) <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1674
% Current number of rules: 179
% New rule produced :
% [194] inverse((identity multiply identity) double_divide A) <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1673
% Current number of rules: 180
% New rule produced :
% [195] identity multiply inverse(identity double_divide A) <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1672
% Current number of rules: 181
% New rule produced :
% [196] A <-> inverse((identity double_divide identity) double_divide A)
% Rule
% [156]
% identity <->
% inverse(identity double_divide (identity double_divide identity)) collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1671
% Current number of rules: 181
% New rule produced :
% [197] inverse((identity double_divide identity) double_divide A) <-> A
% Rule
% [158]
% inverse(identity double_divide (identity double_divide identity)) <->
% identity collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1670
% Current number of rules: 181
% New rule produced :
% [198]
% (eq)(inverse(inverse(A)),inverse(inverse(identity multiply A))) -> (false)
% Current number of equations to process: 117
% Current number of ordered equations: 1669
% Current number of rules: 182
% New rule produced :
% [199]
% (eq)(inverse(inverse(A)),inverse(inverse(identity)) multiply A) -> (false)
% Current number of equations to process: 117
% Current number of ordered equations: 1668
% Current number of rules: 183
% New rule produced :
% [200]
% (eq)(inverse(inverse(inverse(inverse(A)))),identity multiply A) -> (false)
% Current number of equations to process: 117
% Current number of ordered equations: 1667
% Current number of rules: 184
% New rule produced :
% [201]
% (eq)(inverse(inverse(A)),identity multiply (identity multiply A)) -> (false)
% Current number of equations to process: 117
% Current number of ordered equations: 1666
% Current number of rules: 185
% New rule produced :
% [202]
% (eq)(inverse(inverse(A)),(identity multiply identity) multiply A) -> (false)
% Current number of equations to process: 117
% Current number of ordered equations: 1665
% Current number of rules: 186
% New rule produced :
% [203]
% (eq)(identity multiply inverse(inverse(A)),identity multiply A) -> (false)
% Current number of equations to process: 117
% Current number of ordered equations: 1664
% Current number of rules: 187
% New rule produced :
% [204]
% (eq)(inverse(identity multiply inverse(A)),identity multiply A) -> (false)
% Current number of equations to process: 117
% Current number of ordered equations: 1663
% Current number of rules: 188
% New rule produced :
% [205]
% (eq)(inverse(inverse(A)),(identity double_divide identity) multiply A) ->
% (false)
% Current number of equations to process: 117
% Current number of ordered equations: 1662
% Current number of rules: 189
% New rule produced :
% [206] A <-> inverse(inverse(identity)) double_divide inverse(A)
% Current number of equations to process: 117
% Current number of ordered equations: 1661
% Current number of rules: 190
% New rule produced :
% [207] inverse(inverse(identity)) double_divide inverse(A) <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1660
% Current number of rules: 191
% New rule produced :
% [208] A <-> identity multiply (identity double_divide inverse(A))
% Current number of equations to process: 117
% Current number of ordered equations: 1659
% Current number of rules: 192
% New rule produced :
% [209] A <-> identity double_divide (identity multiply inverse(A))
% Current number of equations to process: 117
% Current number of ordered equations: 1658
% Current number of rules: 193
% New rule produced :
% [210] A <-> inverse(A) double_divide (identity multiply identity)
% Current number of equations to process: 117
% Current number of ordered equations: 1657
% Current number of rules: 194
% New rule produced :
% [211] identity multiply (identity double_divide inverse(A)) <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1656
% Current number of rules: 195
% New rule produced :
% [212] identity double_divide (identity multiply inverse(A)) <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1655
% Current number of rules: 196
% New rule produced :
% [213] inverse(A) double_divide (identity multiply identity) <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1654
% Current number of rules: 197
% New rule produced :
% [214] A <-> inverse(A) double_divide (identity double_divide identity)
% Current number of equations to process: 117
% Current number of ordered equations: 1653
% Current number of rules: 198
% New rule produced :
% [215] inverse(A) double_divide (identity double_divide identity) <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1652
% Current number of rules: 199
% New rule produced :
% [216] identity <-> inverse(inverse(inverse(A) double_divide A))
% Current number of equations to process: 117
% Current number of ordered equations: 1651
% Current number of rules: 200
% New rule produced :
% [217] identity <-> inverse(inverse(inverse(A))) double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1650
% Current number of rules: 201
% New rule produced :
% [218] inverse(inverse(inverse(A) double_divide A)) <-> identity
% Current number of equations to process: 117
% Current number of ordered equations: 1649
% Current number of rules: 202
% New rule produced :
% [219] inverse(inverse(inverse(A))) double_divide A <-> identity
% Current number of equations to process: 117
% Current number of ordered equations: 1648
% Current number of rules: 203
% New rule produced :
% [220] identity <-> (identity multiply inverse(A)) double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1647
% Current number of rules: 204
% New rule produced :
% [221] (identity multiply inverse(A)) double_divide A <-> identity
% Current number of equations to process: 117
% Current number of ordered equations: 1646
% Current number of rules: 205
% New rule produced :
% [222] identity <-> inverse((identity double_divide A) double_divide A)
% Current number of equations to process: 117
% Current number of ordered equations: 1644
% Current number of rules: 206
% New rule produced :
% [223] identity <-> (inverse(identity) double_divide A) double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1642
% Current number of rules: 207
% New rule produced :
% [224] inverse((identity double_divide A) double_divide A) <-> identity
% Current number of equations to process: 117
% Current number of ordered equations: 1640
% Current number of rules: 208
% New rule produced :
% [225] (inverse(identity) double_divide A) double_divide A <-> identity
% Current number of equations to process: 117
% Current number of ordered equations: 1638
% Current number of rules: 209
% New rule produced :
% [226] inverse(inverse(A)) <-> (A double_divide B) double_divide B
% Current number of equations to process: 117
% Current number of ordered equations: 1633
% Current number of rules: 210
% New rule produced :
% [227] (A double_divide B) double_divide B <-> inverse(inverse(A))
% Current number of equations to process: 117
% Current number of ordered equations: 1628
% Current number of rules: 211
% New rule produced :
% [228] identity multiply A <-> (A double_divide B) double_divide B
% Current number of equations to process: 117
% Current number of ordered equations: 1627
% Current number of rules: 212
% New rule produced :
% [229] (A double_divide B) double_divide B <-> identity multiply A
% Current number of equations to process: 117
% Current number of ordered equations: 1626
% Current number of rules: 213
% New rule produced :
% [230]
% identity double_divide identity <->
% (identity double_divide A) double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1625
% Current number of rules: 214
% New rule produced :
% [231]
% (identity double_divide A) double_divide A <->
% identity double_divide identity
% Current number of equations to process: 117
% Current number of ordered equations: 1624
% Current number of rules: 215
% New rule produced :
% [232] A double_divide B <-> identity double_divide (A multiply B)
% Current number of equations to process: 117
% Current number of ordered equations: 1621
% Current number of rules: 216
% New rule produced :
% [233] identity double_divide (A multiply B) <-> A double_divide B
% Current number of equations to process: 117
% Current number of ordered equations: 1618
% Current number of rules: 217
% New rule produced :
% [234]
% (eq)(inverse(inverse(A)),identity double_divide (identity double_divide A))
% -> (false)
% Current number of equations to process: 117
% Current number of ordered equations: 1617
% Current number of rules: 218
% New rule produced :
% [235] (A double_divide B) multiply B <-> identity double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1616
% Current number of rules: 219
% New rule produced :
% [236] identity double_divide A <-> (A double_divide B) multiply B
% Current number of equations to process: 117
% Current number of ordered equations: 1615
% Current number of rules: 220
% New rule produced : [237] A <-> (inverse(A) double_divide B) multiply B
% Rule [208] A <-> identity multiply (identity double_divide inverse(A))
% collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1614
% Current number of rules: 220
% New rule produced : [238] (inverse(A) double_divide B) multiply B <-> A
% Rule [211] identity multiply (identity double_divide inverse(A)) <-> A
% collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1613
% Current number of rules: 220
% New rule produced :
% [239] identity <-> inverse(inverse(identity) double_divide inverse(identity))
% Current number of equations to process: 117
% Current number of ordered equations: 1612
% Current number of rules: 221
% New rule produced :
% [240] inverse(inverse(identity) double_divide inverse(identity)) <-> identity
% Current number of equations to process: 117
% Current number of ordered equations: 1611
% Current number of rules: 222
% New rule produced :
% [241] inverse(A) <-> inverse(identity double_divide identity) double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1610
% Current number of rules: 223
% New rule produced :
% [242] inverse(identity double_divide identity) double_divide A <-> inverse(A)
% Current number of equations to process: 117
% Current number of ordered equations: 1609
% Current number of rules: 224
% New rule produced :
% [243] inverse(A) <-> identity double_divide inverse(identity double_divide A)
% Current number of equations to process: 117
% Current number of ordered equations: 1607
% Current number of rules: 225
% New rule produced :
% [244]
% inverse(A) <-> (identity double_divide inverse(identity)) double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1606
% Current number of rules: 226
% New rule produced :
% [245] identity double_divide inverse(identity double_divide A) <-> inverse(A)
% Current number of equations to process: 117
% Current number of ordered equations: 1604
% Current number of rules: 227
% New rule produced :
% [246]
% (identity double_divide inverse(identity)) double_divide A <-> inverse(A)
% Current number of equations to process: 117
% Current number of ordered equations: 1603
% Current number of rules: 228
% New rule produced :
% [247] inverse(A) <-> inverse(inverse(inverse(identity))) double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1602
% Current number of rules: 229
% New rule produced :
% [248] inverse(inverse(inverse(identity))) double_divide A <-> inverse(A)
% Current number of equations to process: 117
% Current number of ordered equations: 1601
% Current number of rules: 230
% New rule produced :
% [249] inverse(B) <-> (inverse(A) double_divide A) double_divide B
% Rule
% [244]
% inverse(A) <-> (identity double_divide inverse(identity)) double_divide A
% collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1598
% Current number of rules: 230
% New rule produced :
% [250] (inverse(A) double_divide A) double_divide B <-> inverse(B)
% Rule
% [246]
% (identity double_divide inverse(identity)) double_divide A <-> inverse(A)
% collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1595
% Current number of rules: 230
% New rule produced :
% [251]
% inverse(identity double_divide A) <-> (A double_divide B) double_divide B
% Current number of equations to process: 117
% Current number of ordered equations: 1593
% Current number of rules: 231
% New rule produced :
% [252]
% (A double_divide B) double_divide B <-> inverse(identity double_divide A)
% Current number of equations to process: 117
% Current number of ordered equations: 1591
% Current number of rules: 232
% New rule produced :
% [253]
% identity double_divide inverse(A) <-> (A double_divide B) double_divide B
% Current number of equations to process: 117
% Current number of ordered equations: 1590
% Current number of rules: 233
% New rule produced :
% [254]
% (A double_divide B) double_divide B <-> identity double_divide inverse(A)
% Current number of equations to process: 117
% Current number of ordered equations: 1589
% Current number of rules: 234
% New rule produced :
% [255]
% inverse(inverse(inverse(identity))) <->
% (identity double_divide A) double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1588
% Current number of rules: 235
% New rule produced :
% [256]
% (identity double_divide A) double_divide A <->
% inverse(inverse(inverse(identity)))
% Current number of equations to process: 117
% Current number of ordered equations: 1587
% Current number of rules: 236
% New rule produced :
% [257]
% inverse(A) double_divide A <-> (identity double_divide B) double_divide B
% Current number of equations to process: 117
% Current number of ordered equations: 1586
% Current number of rules: 237
% New rule produced :
% [258]
% (identity double_divide B) double_divide B <-> inverse(A) double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1585
% Current number of rules: 238
% New rule produced :
% [259]
% (eq)(inverse(A multiply B),identity multiply (A double_divide B)) -> (false)
% Current number of equations to process: 117
% Current number of ordered equations: 1584
% Current number of rules: 239
% New rule produced :
% [260] inverse(A double_divide B) <-> identity multiply (A multiply B)
% Current number of equations to process: 117
% Current number of ordered equations: 1583
% Current number of rules: 240
% New rule produced :
% [261] identity multiply (A multiply B) <-> inverse(A double_divide B)
% Current number of equations to process: 117
% Current number of ordered equations: 1582
% Current number of rules: 241
% New rule produced :
% [262] inverse(A multiply B) <-> identity multiply (A double_divide B)
% Current number of equations to process: 117
% Current number of ordered equations: 1581
% Current number of rules: 242
% New rule produced :
% [263] identity multiply (A double_divide B) <-> inverse(A multiply B)
% Current number of equations to process: 117
% Current number of ordered equations: 1580
% Current number of rules: 243
% New rule produced :
% [264] inverse(A double_divide B) <-> inverse(A) double_divide inverse(B)
% Current number of equations to process: 117
% Current number of ordered equations: 1579
% Current number of rules: 244
% New rule produced :
% [265] inverse(A) double_divide inverse(B) <-> inverse(A double_divide B)
% Current number of equations to process: 117
% Current number of ordered equations: 1578
% Current number of rules: 245
% New rule produced :
% [266] inverse(identity) <-> inverse(inverse(inverse(A))) double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1576
% Current number of rules: 246
% New rule produced :
% [267] inverse(inverse(inverse(A))) double_divide A <-> inverse(identity)
% Current number of equations to process: 117
% Current number of ordered equations: 1574
% Current number of rules: 247
% New rule produced :
% [268] inverse(B) <-> (inverse(A) multiply B) double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1573
% Current number of rules: 248
% New rule produced :
% [269] (inverse(A) multiply B) double_divide A <-> inverse(B)
% Current number of equations to process: 117
% Current number of ordered equations: 1572
% Current number of rules: 249
% New rule produced :
% [270] a3 multiply (c3 multiply b3) <-> c3 multiply (b3 multiply a3)
% Current number of equations to process: 117
% Current number of ordered equations: 1571
% Current number of rules: 250
% New rule produced :
% [271] c3 multiply (b3 multiply a3) <-> a3 multiply (c3 multiply b3)
% Current number of equations to process: 117
% Current number of ordered equations: 1570
% Current number of rules: 251
% New rule produced :
% [272]
% identity <->
% inverse(inverse(identity double_divide inverse(inverse(identity))))
% Current number of equations to process: 117
% Current number of ordered equations: 1568
% Current number of rules: 252
% New rule produced :
% [273]
% identity <->
% inverse(inverse(inverse(inverse(identity double_divide identity))))
% Current number of equations to process: 117
% Current number of ordered equations: 1567
% Current number of rules: 253
% New rule produced :
% [274]
% identity <->
% inverse(inverse(inverse(identity double_divide inverse(identity))))
% Current number of equations to process: 117
% Current number of ordered equations: 1565
% Current number of rules: 254
% New rule produced :
% [275]
% inverse(inverse(identity double_divide inverse(inverse(identity)))) <->
% identity
% Current number of equations to process: 117
% Current number of ordered equations: 1563
% Current number of rules: 255
% New rule produced :
% [276]
% inverse(inverse(inverse(inverse(identity double_divide identity)))) <->
% identity
% Current number of equations to process: 117
% Current number of ordered equations: 1562
% Current number of rules: 256
% New rule produced :
% [277]
% inverse(inverse(inverse(identity double_divide inverse(identity)))) <->
% identity
% Current number of equations to process: 117
% Current number of ordered equations: 1560
% Current number of rules: 257
% New rule produced :
% [278]
% identity <->
% inverse(identity double_divide inverse(inverse(inverse(identity))))
% Current number of equations to process: 117
% Current number of ordered equations: 1559
% Current number of rules: 258
% New rule produced :
% [279]
% identity <->
% identity double_divide inverse(inverse(inverse(inverse(identity))))
% Current number of equations to process: 117
% Current number of ordered equations: 1558
% Current number of rules: 259
% New rule produced :
% [280]
% inverse(identity double_divide inverse(inverse(inverse(identity)))) <->
% identity
% Current number of equations to process: 117
% Current number of ordered equations: 1557
% Current number of rules: 260
% New rule produced :
% [281]
% identity double_divide inverse(inverse(inverse(inverse(identity)))) <->
% identity
% Current number of equations to process: 117
% Current number of ordered equations: 1556
% Current number of rules: 261
% New rule produced :
% [282]
% identity <-> inverse(inverse(inverse(inverse(inverse(inverse(identity))))))
% Current number of equations to process: 117
% Current number of ordered equations: 1555
% Current number of rules: 262
% New rule produced :
% [283]
% inverse(inverse(inverse(inverse(inverse(inverse(identity)))))) <-> identity
% Current number of equations to process: 117
% Current number of ordered equations: 1554
% Current number of rules: 263
% New rule produced :
% [284] identity <-> inverse(inverse(inverse(inverse(A) double_divide A)))
% Rule
% [274]
% identity <->
% inverse(inverse(inverse(identity double_divide inverse(identity))))
% collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1553
% Current number of rules: 263
% New rule produced :
% [285] inverse(inverse(inverse(inverse(A) double_divide A))) <-> identity
% Rule
% [277]
% inverse(inverse(inverse(identity double_divide inverse(identity)))) <->
% identity collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1552
% Current number of rules: 263
% New rule produced :
% [286] A <-> inverse(inverse(identity double_divide identity) double_divide A)
% Current number of equations to process: 117
% Current number of ordered equations: 1551
% Current number of rules: 264
% New rule produced :
% [287]
% A <-> inverse(inverse(identity double_divide (identity double_divide A)))
% Current number of equations to process: 117
% Current number of ordered equations: 1550
% Current number of rules: 265
% New rule produced :
% [288] inverse(inverse(identity double_divide identity) double_divide A) <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1549
% Current number of rules: 266
% New rule produced :
% [289]
% inverse(inverse(identity double_divide (identity double_divide A))) <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1548
% Current number of rules: 267
% New rule produced :
% [290] A <-> inverse(identity double_divide inverse(identity double_divide A))
% Current number of equations to process: 117
% Current number of ordered equations: 1546
% Current number of rules: 268
% New rule produced :
% [291]
% A <-> inverse((identity double_divide inverse(identity)) double_divide A)
% Current number of equations to process: 117
% Current number of ordered equations: 1545
% Current number of rules: 269
% New rule produced :
% [292] A <-> identity double_divide inverse(inverse(identity double_divide A))
% Current number of equations to process: 117
% Current number of ordered equations: 1544
% Current number of rules: 270
% New rule produced :
% [293] inverse(identity double_divide inverse(identity double_divide A)) <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1542
% Current number of rules: 271
% New rule produced :
% [294]
% inverse((identity double_divide inverse(identity)) double_divide A) <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1541
% Current number of rules: 272
% New rule produced :
% [295] identity double_divide inverse(inverse(identity double_divide A)) <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1540
% Current number of rules: 273
% New rule produced :
% [296] A <-> inverse(inverse(inverse(inverse(identity))) double_divide A)
% Rule
% [278]
% identity <->
% inverse(identity double_divide inverse(inverse(inverse(identity))))
% collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1539
% Current number of rules: 273
% New rule produced :
% [297] inverse(inverse(inverse(inverse(identity))) double_divide A) <-> A
% Rule
% [280]
% inverse(identity double_divide inverse(inverse(inverse(identity)))) <->
% identity collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1538
% Current number of rules: 273
% New rule produced :
% [298] B <-> inverse((inverse(A) double_divide A) double_divide B)
% Rule
% [291]
% A <-> inverse((identity double_divide inverse(identity)) double_divide A)
% collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1534
% Current number of rules: 273
% New rule produced :
% [299] inverse((inverse(A) double_divide A) double_divide B) <-> B
% Rule
% [294]
% inverse((identity double_divide inverse(identity)) double_divide A) <-> A
% collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1530
% Current number of rules: 273
% New rule produced :
% [300]
% (eq)(inverse(inverse(A)),inverse(identity double_divide (identity multiply A)))
% -> (false)
% Current number of equations to process: 117
% Current number of ordered equations: 1529
% Current number of rules: 274
% New rule produced :
% [301]
% (eq)(inverse(inverse(A)),inverse(identity double_divide identity) multiply A)
% -> (false)
% Current number of equations to process: 117
% Current number of ordered equations: 1528
% Current number of rules: 275
% New rule produced :
% [302]
% (eq)(inverse(inverse(identity double_divide inverse(A))),identity multiply A)
% -> (false)
% Current number of equations to process: 117
% Current number of ordered equations: 1527
% Current number of rules: 276
% New rule produced :
% [303]
% (eq)(inverse(identity double_divide inverse(inverse(A))),identity multiply A)
% -> (false)
% Current number of equations to process: 117
% Current number of ordered equations: 1525
% Current number of rules: 277
% New rule produced :
% [304]
% (eq)(inverse(inverse(A)),identity double_divide inverse(identity multiply A))
% -> (false)
% Current number of equations to process: 117
% Current number of ordered equations: 1524
% Current number of rules: 278
% New rule produced :
% [305]
% (eq)(inverse(inverse(A)),(identity double_divide inverse(identity)) multiply A)
% -> (false)
% Current number of equations to process: 117
% Current number of ordered equations: 1523
% Current number of rules: 279
% New rule produced :
% [306]
% (eq)(identity double_divide inverse(inverse(inverse(A))),identity multiply A)
% -> (false)
% Current number of equations to process: 117
% Current number of ordered equations: 1522
% Current number of rules: 280
% New rule produced :
% [307]
% (eq)(inverse(inverse(A)),inverse(inverse(inverse(identity))) multiply A) ->
% (false)
% Current number of equations to process: 117
% Current number of ordered equations: 1521
% Current number of rules: 281
% New rule produced :
% [308]
% (eq)(inverse(inverse(A)),(inverse(B) double_divide B) multiply A) -> (false)
% Rule
% [305]
% (eq)(inverse(inverse(A)),(identity double_divide inverse(identity)) multiply A)
% -> (false) collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1520
% Current number of rules: 281
% New rule produced :
% [309] A <-> inverse(identity double_divide identity) double_divide inverse(A)
% Current number of equations to process: 117
% Current number of ordered equations: 1519
% Current number of rules: 282
% New rule produced :
% [310] inverse(identity double_divide identity) double_divide inverse(A) <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1518
% Current number of rules: 283
% New rule produced :
% [311] A <-> identity double_divide inverse(identity double_divide inverse(A))
% Current number of equations to process: 117
% Current number of ordered equations: 1516
% Current number of rules: 284
% New rule produced :
% [312]
% A <-> identity double_divide (identity double_divide inverse(inverse(A)))
% Current number of equations to process: 117
% Current number of ordered equations: 1515
% Current number of rules: 285
% New rule produced :
% [313]
% A <-> inverse(A) double_divide (identity double_divide inverse(identity))
% Current number of equations to process: 117
% Current number of ordered equations: 1514
% Current number of rules: 286
% New rule produced :
% [314] identity double_divide inverse(identity double_divide inverse(A)) <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1512
% Current number of rules: 287
% New rule produced :
% [315]
% identity double_divide (identity double_divide inverse(inverse(A))) <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1511
% Current number of rules: 288
% New rule produced :
% [316]
% inverse(A) double_divide (identity double_divide inverse(identity)) <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1510
% Current number of rules: 289
% New rule produced :
% [317] A <-> inverse(inverse(inverse(identity))) double_divide inverse(A)
% Current number of equations to process: 117
% Current number of ordered equations: 1509
% Current number of rules: 290
% New rule produced :
% [318] inverse(inverse(inverse(identity))) double_divide inverse(A) <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1508
% Current number of rules: 291
% New rule produced :
% [319] A <-> inverse(A) double_divide (inverse(B) double_divide B)
% Rule
% [313]
% A <-> inverse(A) double_divide (identity double_divide inverse(identity))
% collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1504
% Current number of rules: 291
% New rule produced :
% [320] inverse(A) double_divide (inverse(B) double_divide B) <-> A
% Rule
% [316]
% inverse(A) double_divide (identity double_divide inverse(identity)) <-> A
% collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1500
% Current number of rules: 291
% New rule produced :
% [321] identity <-> inverse(identity double_divide inverse(A)) double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1498
% Current number of rules: 292
% New rule produced :
% [322] inverse(identity double_divide inverse(A)) double_divide A <-> identity
% Current number of equations to process: 117
% Current number of ordered equations: 1496
% Current number of rules: 293
% New rule produced :
% [323] identity <-> identity double_divide inverse(inverse(A) double_divide A)
% Current number of equations to process: 117
% Current number of ordered equations: 1495
% Current number of rules: 294
% New rule produced :
% [324]
% identity <-> (identity double_divide inverse(inverse(A))) double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1494
% Current number of rules: 295
% New rule produced :
% [325] identity double_divide inverse(inverse(A) double_divide A) <-> identity
% Current number of equations to process: 117
% Current number of ordered equations: 1493
% Current number of rules: 296
% New rule produced :
% [326]
% (identity double_divide inverse(inverse(A))) double_divide A <-> identity
% Current number of equations to process: 117
% Current number of ordered equations: 1492
% Current number of rules: 297
% New rule produced :
% [327]
% (A double_divide B) double_divide B <-> (A double_divide C) double_divide C
% Current number of equations to process: 117
% Current number of ordered equations: 1488
% Current number of rules: 298
% New rule produced :
% [328] A <-> (inverse(inverse(A)) double_divide B) double_divide B
% Rule
% [312]
% A <-> identity double_divide (identity double_divide inverse(inverse(A)))
% collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1487
% Current number of rules: 298
% New rule produced :
% [329] (inverse(inverse(A)) double_divide B) double_divide B <-> A
% Rule
% [315]
% identity double_divide (identity double_divide inverse(inverse(A))) <-> A
% collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1486
% Current number of rules: 298
% New rule produced :
% [330] A <-> ((identity multiply A) double_divide B) double_divide B
% Current number of equations to process: 117
% Current number of ordered equations: 1485
% Current number of rules: 299
% New rule produced :
% [331] B <-> ((identity double_divide A) double_divide A) multiply B
% Current number of equations to process: 117
% Current number of ordered equations: 1484
% Current number of rules: 300
% New rule produced :
% [332] ((identity double_divide A) double_divide A) multiply B <-> B
% Current number of equations to process: 117
% Current number of ordered equations: 1483
% Current number of rules: 301
% New rule produced :
% [333] ((identity multiply A) double_divide B) double_divide B <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1482
% Current number of rules: 302
% New rule produced :
% [334]
% identity <->
% identity double_divide ((identity double_divide A) double_divide A)
% Current number of equations to process: 117
% Current number of ordered equations: 1481
% Current number of rules: 303
% New rule produced :
% [335]
% identity <->
% ((identity double_divide identity) double_divide A) double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1480
% Current number of rules: 304
% New rule produced :
% [336]
% identity double_divide ((identity double_divide A) double_divide A) <->
% identity
% Current number of equations to process: 117
% Current number of ordered equations: 1479
% Current number of rules: 305
% New rule produced :
% [337]
% ((identity double_divide identity) double_divide A) double_divide A <->
% identity
% Current number of equations to process: 117
% Current number of ordered equations: 1478
% Current number of rules: 306
% New rule produced :
% [338]
% identity double_divide A <-> (inverse(A) double_divide B) double_divide B
% Current number of equations to process: 117
% Current number of ordered equations: 1475
% Current number of rules: 307
% New rule produced :
% [339]
% (inverse(A) double_divide B) double_divide B <-> identity double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1472
% Current number of rules: 308
% New rule produced :
% [340] inverse(inverse(inverse(A double_divide B))) <-> A multiply B
% Current number of equations to process: 117
% Current number of ordered equations: 1471
% Current number of rules: 309
% New rule produced :
% [341] A multiply B <-> inverse(inverse(inverse(A double_divide B)))
% Current number of equations to process: 117
% Current number of ordered equations: 1470
% Current number of rules: 310
% New rule produced :
% [342] inverse(identity multiply (A double_divide B)) <-> A multiply B
% Current number of equations to process: 117
% Current number of ordered equations: 1469
% Current number of rules: 311
% New rule produced :
% [343] A multiply B <-> inverse(identity multiply (A double_divide B))
% Current number of equations to process: 117
% Current number of ordered equations: 1468
% Current number of rules: 312
% New rule produced :
% [344] A multiply B <-> identity multiply inverse(A double_divide B)
% Current number of equations to process: 117
% Current number of ordered equations: 1467
% Current number of rules: 313
% New rule produced :
% [345] identity multiply inverse(A double_divide B) <-> A multiply B
% Current number of equations to process: 117
% Current number of ordered equations: 1466
% Current number of rules: 314
% New rule produced :
% [346] identity <-> (A multiply B) double_divide (A double_divide B)
% Current number of equations to process: 117
% Current number of ordered equations: 1464
% Current number of rules: 315
% New rule produced :
% [347] (A multiply B) double_divide (A double_divide B) <-> identity
% Current number of equations to process: 117
% Current number of ordered equations: 1462
% Current number of rules: 316
% New rule produced :
% [348] A <-> inverse(inverse((A double_divide B) double_divide B))
% Rule
% [287]
% A <-> inverse(inverse(identity double_divide (identity double_divide A)))
% collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1461
% Current number of rules: 316
% New rule produced :
% [349] A <-> inverse(inverse(A double_divide B)) double_divide B
% Rule
% [292] A <-> identity double_divide inverse(inverse(identity double_divide A))
% collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1452
% Current number of rules: 316
% New rule produced :
% [350] inverse(inverse((A double_divide B) double_divide B)) <-> A
% Rule
% [289]
% inverse(inverse(identity double_divide (identity double_divide A))) <-> A
% collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1451
% Current number of rules: 316
% New rule produced :
% [351] inverse(inverse(A double_divide B)) double_divide B <-> A
% Rule
% [295] identity double_divide inverse(inverse(identity double_divide A)) <-> A
% collapsed.
% Current number of equations to process: 117
% Current number of ordered equations: 1442
% Current number of rules: 316
% New rule produced :
% [352] A <-> identity multiply ((A double_divide B) double_divide B)
% Current number of equations to process: 117
% Current number of ordered equations: 1441
% Current number of rules: 317
% New rule produced :
% [353] A <-> (identity multiply (A double_divide B)) double_divide B
% Current number of equations to process: 117
% Current number of ordered equations: 1440
% Current number of rules: 318
% New rule produced :
% [354] identity multiply ((A double_divide B) double_divide B) <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1439
% Current number of rules: 319
% New rule produced :
% [355] (identity multiply (A double_divide B)) double_divide B <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1438
% Current number of rules: 320
% New rule produced :
% [356]
% inverse(inverse(A multiply B)) <-> identity double_divide (A double_divide B)
% Current number of equations to process: 117
% Current number of ordered equations: 1437
% Current number of rules: 321
% New rule produced :
% [357]
% identity double_divide (A double_divide B) <-> inverse(inverse(A multiply B))
% Current number of equations to process: 117
% Current number of ordered equations: 1436
% Current number of rules: 322
% New rule produced :
% [358]
% identity multiply (A multiply B) <->
% identity double_divide (A double_divide B)
% Current number of equations to process: 117
% Current number of ordered equations: 1435
% Current number of rules: 323
% New rule produced :
% [359]
% identity double_divide (A double_divide B) <->
% identity multiply (A multiply B)
% Current number of equations to process: 117
% Current number of ordered equations: 1434
% Current number of rules: 324
% New rule produced :
% [360]
% identity multiply (A double_divide B) <->
% identity double_divide (A multiply B)
% Current number of equations to process: 117
% Current number of ordered equations: 1433
% Current number of rules: 325
% New rule produced :
% [361]
% identity double_divide (A multiply B) <->
% identity multiply (A double_divide B)
% Current number of equations to process: 117
% Current number of ordered equations: 1432
% Current number of rules: 326
% New rule produced :
% [362] A multiply B <-> inverse(identity) double_divide (A double_divide B)
% Current number of equations to process: 117
% Current number of ordered equations: 1431
% Current number of rules: 327
% New rule produced :
% [363] inverse(identity) double_divide (A double_divide B) <-> A multiply B
% Current number of equations to process: 117
% Current number of ordered equations: 1430
% Current number of rules: 328
% New rule produced :
% [364]
% inverse(inverse(A)) double_divide B <-> inverse(inverse(B)) double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1426
% Current number of rules: 329
% New rule produced :
% [365] inverse(inverse(A) double_divide inverse(B)) <-> A double_divide B
% Current number of equations to process: 117
% Current number of ordered equations: 1423
% Current number of rules: 330
% New rule produced :
% [366] A double_divide B <-> inverse(inverse(A) double_divide inverse(B))
% Current number of equations to process: 117
% Current number of ordered equations: 1420
% Current number of rules: 331
% New rule produced :
% [367]
% inverse(inverse(B) double_divide A) <->
% (identity double_divide A) double_divide B
% Current number of equations to process: 117
% Current number of ordered equations: 1419
% Current number of rules: 332
% New rule produced :
% [368]
% (identity double_divide A) double_divide B <->
% inverse(inverse(B) double_divide A)
% Current number of equations to process: 117
% Current number of ordered equations: 1418
% Current number of rules: 333
% New rule produced :
% [369] identity <-> inverse(inverse(inverse(inverse(A))) double_divide A)
% Current number of equations to process: 117
% Current number of ordered equations: 1417
% Current number of rules: 334
% New rule produced :
% [370] inverse(inverse(inverse(inverse(A))) double_divide A) <-> identity
% Current number of equations to process: 117
% Current number of ordered equations: 1416
% Current number of rules: 335
% New rule produced :
% [371]
% inverse((A double_divide B) double_divide B) <-> identity double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1413
% Current number of rules: 336
% New rule produced :
% [372]
% identity double_divide A <-> inverse((A double_divide B) double_divide B)
% Current number of equations to process: 117
% Current number of ordered equations: 1410
% Current number of rules: 337
% New rule produced :
% [373] A <-> inverse(inverse(identity) double_divide inverse(inverse(A)))
% Current number of equations to process: 117
% Current number of ordered equations: 1408
% Current number of rules: 338
% New rule produced :
% [374] inverse(inverse(identity) double_divide inverse(inverse(A))) <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1406
% Current number of rules: 339
% New rule produced :
% [375] B <-> inverse(inverse(A) double_divide (A multiply B))
% Current number of equations to process: 117
% Current number of ordered equations: 1405
% Current number of rules: 340
% New rule produced :
% [376] B <-> inverse(A double_divide B) multiply inverse(A)
% Current number of equations to process: 117
% Current number of ordered equations: 1403
% Current number of rules: 341
% New rule produced :
% [377] inverse(inverse(A) double_divide (A multiply B)) <-> B
% Current number of equations to process: 117
% Current number of ordered equations: 1402
% Current number of rules: 342
% New rule produced :
% [378] inverse(A double_divide B) multiply inverse(A) <-> B
% Current number of equations to process: 117
% Current number of ordered equations: 1400
% Current number of rules: 343
% New rule produced :
% [379] B <-> inverse(inverse(A)) double_divide (A double_divide B)
% Current number of equations to process: 117
% Current number of ordered equations: 1396
% Current number of rules: 344
% New rule produced :
% [380] inverse(inverse(A)) double_divide (A double_divide B) <-> B
% Current number of equations to process: 117
% Current number of ordered equations: 1392
% Current number of rules: 345
% New rule produced :
% [381] identity <-> inverse(identity double_divide A) double_divide inverse(A)
% Current number of equations to process: 117
% Current number of ordered equations: 1390
% Current number of rules: 346
% New rule produced :
% [382] inverse(identity double_divide A) double_divide inverse(A) <-> identity
% Current number of equations to process: 117
% Current number of ordered equations: 1388
% Current number of rules: 347
% New rule produced :
% [383] A <-> inverse(identity) double_divide inverse(inverse(inverse(A)))
% Current number of equations to process: 117
% Current number of ordered equations: 1387
% Current number of rules: 348
% New rule produced :
% [384] inverse(identity) double_divide inverse(inverse(inverse(A))) <-> A
% Current number of equations to process: 117
% Current number of ordered equations: 1386
% Current number of rules: 349
% New rule produced :
% [385] B <-> inverse(A) double_divide (inverse(B) multiply A)
% Current number of equations to process: 117
% Current number of ordered equations: 1385
% Current number of rules: 350
% New rule produced :
% [386] inverse(A) double_divide (inverse(B) multiply A) <-> B
% Current number of equations to process: 117
% Current number of ordered equations: 1384
% Current number of rules: 351
% New rule produced :
% [387]
% inverse(inverse(A) multiply B) <-> (identity double_divide A) double_divide B
% Current number of equations to process: 117
% Current number of ordered equations: 1383
% Current number of rules: 352
% New rule produced :
% [388]
% (identity double_divide A) double_divide B <-> inverse(inverse(A) multiply B)
% Current number of equations to process: 117
% Current number of ordered equations: 1382
% Current number of rules: 353
% New rule produced :
% [389]
% inverse(B) <-> ((identity double_divide A) double_divide A) double_divide B
% Current number of equations to process: 117
% Current number of ordered equations: 1381
% Current number of rules: 354
% New rule produced :
% [390]
% inverse(A) <-> ((identity double_divide A) double_divide B) double_divide B
% Current number of equations to process: 117
% Current number of ordered equations: 1380
% Current number of rules: 355
% New rule produced :
% [391]
% ((identity double_divide A) double_divide B) double_divide B <-> inverse(A)
% Current number of equations to process: 117
% Current number of ordered equations: 1379
% Current number of rules: 356
% New rule produced :
% [392]
% ((identity double_divide A) double_divide A) double_divide B <-> inverse(B)
% Current number of equations to process: 117
% Current number of ordered equations: 1378
% Current number of rules: 357
% New rule produced :
% [393]
% inverse(A double_divide B) <-> identity double_divide inverse(A multiply B)
% Current number of equations to process: 117
% Current number of ordered equations: 1377
% Current number of rules: 358
% New rule produced :
% [394]
% identity double_divide inverse(A multiply B) <-> inverse(A double_divide B)
% Current number of equations to process: 117
% Current number of ordered equations: 1376
% Current number of rules: 359
% New rule produced :
% [395]
% inverse((identity double_divide A) double_divide B) <->
% inverse(B) double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1375
% Current number of rules: 360
% New rule produced :
% [396]
% identity double_divide (inverse(A) double_divide B) <->
% inverse(B) double_divide A
% Current number of equations to process: 117
% Current number of ordered equations: 1372
% Current number of rules: 361
% New rule produced :
% [397]
% inverse(B) double_divide A <->
% inverse((identity double_divideCputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------