%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : GRP610-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n082.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 00:23:38 EDT 2014

% Result   : Timeout 300.02s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : GRP610-1 : TPTP v6.0.0. Released v2.6.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n082.star.cs.uiowa.edu
% % Model    : x86_64 x86_64
% % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory   : 32286.75MB
% % OS       : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Fri Jun  6 21:43:18 CDT 2014
% % CPUTime  : 300.02 
% Processing problem /tmp/CiME_47204_n082.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " a2,b2 : constant;  multiply : 2;  inverse : 1;  double_divide : 2;";
% let X = vars "A B C";
% let Axioms = equations F X "
% inverse(double_divide(inverse(double_divide(inverse(double_divide(A,B)),C)),double_divide(A,C))) = B;
% multiply(A,B) = inverse(double_divide(B,A));
% ";
% 
% let s1 = status F "
% a2 lr_lex;
% b2 lr_lex;
% multiply lr_lex;
% inverse lr_lex;
% double_divide lr_lex;
% ";
% 
% let p1 = precedence F "
% multiply > double_divide > inverse > b2 > a2";
% 
% let s2 = status F "
% a2 mul;
% b2 mul;
% multiply mul;
% inverse mul;
% double_divide mul;
% ";
% 
% let p2 = precedence F "
% multiply > double_divide > inverse > b2 = a2";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " multiply(multiply(inverse(b2),b2),a2) = a2;"
% ;
% (*
% 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 = { inverse(double_divide(inverse(double_divide(
% inverse(double_divide(A,B)),C)),
% double_divide(A,C))) = B,
% multiply(A,B) = inverse(double_divide(B,A)) }
% (2 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(inverse(b2),b2),a2) = a2 }
% (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced : [1] multiply(A,B) -> inverse(double_divide(B,A))
% The conjecture has been reduced. 
% Conjecture is now:
% inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) = a2
% 
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 1
% New rule produced :
% [2]
% inverse(double_divide(inverse(double_divide(inverse(double_divide(A,B)),C)),
% double_divide(A,C))) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [3]
% inverse(double_divide(A,double_divide(inverse(double_divide(B,A)),double_divide(B,C))))
% -> C
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced :
% [4]
% inverse(double_divide(inverse(double_divide(A,B)),double_divide(C,B))) <->
% double_divide(inverse(double_divide(V_3,C)),double_divide(V_3,A))
% Rule
% [2]
% inverse(double_divide(inverse(double_divide(inverse(double_divide(A,B)),C)),
% double_divide(A,C))) -> B collapsed.
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced :
% [5]
% double_divide(inverse(double_divide(a2,A)),double_divide(a2,inverse(double_divide(A,B))))
% -> B
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced :
% [6]
% double_divide(inverse(double_divide(C,A)),double_divide(C,B)) <->
% double_divide(inverse(double_divide(a2,A)),double_divide(a2,B))
% Current number of equations to process: 12
% Current number of ordered equations: 1
% Current number of rules: 5
% New rule produced :
% [7]
% double_divide(inverse(double_divide(a2,A)),double_divide(a2,B)) <->
% double_divide(inverse(double_divide(C,A)),double_divide(C,B))
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [8]
% double_divide(inverse(double_divide(B,C)),double_divide(B,inverse(double_divide(C,A))))
% -> A
% Rule
% [5]
% double_divide(inverse(double_divide(a2,A)),double_divide(a2,inverse(double_divide(A,B))))
% -> B collapsed.
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [9]
% double_divide(inverse(double_divide(A,B)),double_divide(A,C)) <->
% double_divide(inverse(double_divide(V_3,B)),double_divide(V_3,C))
% Rule
% [6]
% double_divide(inverse(double_divide(C,A)),double_divide(C,B)) <->
% double_divide(inverse(double_divide(a2,A)),double_divide(a2,B)) collapsed.
% Rule
% [7]
% double_divide(inverse(double_divide(a2,A)),double_divide(a2,B)) <->
% double_divide(inverse(double_divide(C,A)),double_divide(C,B)) collapsed.
% Current number of equations to process: 47
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [10]
% inverse(double_divide(inverse(double_divide(a2,A)),double_divide(a2,A))) <->
% double_divide(inverse(double_divide(B,C)),double_divide(B,C))
% Current number of equations to process: 59
% Current number of ordered equations: 1
% Current number of rules: 6
% New rule produced :
% [11]
% double_divide(inverse(double_divide(A,a2)),double_divide(A,a2)) <->
% double_divide(inverse(double_divide(B,C)),double_divide(B,C))
% Current number of equations to process: 60
% Current number of ordered equations: 2
% Current number of rules: 7
% New rule produced :
% [12]
% double_divide(inverse(double_divide(B,C)),double_divide(B,C)) <->
% double_divide(inverse(double_divide(A,a2)),double_divide(A,a2))
% Current number of equations to process: 60
% Current number of ordered equations: 1
% Current number of rules: 8
% New rule produced :
% [13]
% double_divide(inverse(double_divide(B,C)),double_divide(B,C)) <->
% inverse(double_divide(inverse(double_divide(a2,A)),double_divide(a2,A)))
% Current number of equations to process: 60
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [14]
% inverse(double_divide(a2,double_divide(inverse(double_divide(A,B)),double_divide(A,B))))
% -> a2
% Current number of equations to process: 66
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [15]
% inverse(double_divide(A,double_divide(inverse(double_divide(B,a2)),double_divide(B,a2))))
% -> A
% Current number of equations to process: 77
% Current number of ordered equations: 0
% Current number of rules: 11
% Rule [12]
% double_divide(inverse(double_divide(B,C)),double_divide(B,C)) <->
% double_divide(inverse(double_divide(A,a2)),double_divide(A,a2)) is composed into 
% [12]
% double_divide(inverse(double_divide(B,C)),double_divide(B,C)) <->
% double_divide(inverse(A),A)
% New rule produced :
% [16]
% double_divide(inverse(double_divide(B,a2)),double_divide(B,a2)) <->
% double_divide(inverse(A),A)
% Rule
% [11]
% double_divide(inverse(double_divide(A,a2)),double_divide(A,a2)) <->
% double_divide(inverse(double_divide(B,C)),double_divide(B,C)) collapsed.
% Rule
% [15]
% inverse(double_divide(A,double_divide(inverse(double_divide(B,a2)),double_divide(B,a2))))
% -> A collapsed.
% Current number of equations to process: 82
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [17] inverse(double_divide(A,double_divide(inverse(a2),a2))) -> A
% Current number of equations to process: 81
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [18] double_divide(inverse(A),A) <-> double_divide(inverse(a2),a2)
% Rule
% [10]
% inverse(double_divide(inverse(double_divide(a2,A)),double_divide(a2,A))) <->
% double_divide(inverse(double_divide(B,C)),double_divide(B,C)) collapsed.
% Rule
% [12]
% double_divide(inverse(double_divide(B,C)),double_divide(B,C)) <->
% double_divide(inverse(A),A) collapsed.
% Rule
% [13]
% double_divide(inverse(double_divide(B,C)),double_divide(B,C)) <->
% inverse(double_divide(inverse(double_divide(a2,A)),double_divide(a2,A)))
% collapsed.
% Rule
% [14]
% inverse(double_divide(a2,double_divide(inverse(double_divide(A,B)),double_divide(A,B))))
% -> a2 collapsed.
% Rule
% [16]
% double_divide(inverse(double_divide(B,a2)),double_divide(B,a2)) <->
% double_divide(inverse(A),A) collapsed.
% Current number of equations to process: 82
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [19] inverse(double_divide(inverse(a2),a2)) -> double_divide(inverse(a2),a2)
% Current number of equations to process: 80
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [20]
% double_divide(A,double_divide(A,B)) <-> double_divide(C,double_divide(C,B))
% Current number of equations to process: 84
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [21]
% inverse(double_divide(B,a2)) <->
% double_divide(inverse(double_divide(A,inverse(a2))),double_divide(A,B))
% Current number of equations to process: 83
% Current number of ordered equations: 1
% Current number of rules: 10
% New rule produced :
% [22]
% double_divide(inverse(double_divide(A,inverse(a2))),double_divide(A,B)) <->
% inverse(double_divide(B,a2))
% Current number of equations to process: 83
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [23]
% double_divide(A,double_divide(A,double_divide(inverse(a2),a2))) ->
% double_divide(inverse(a2),a2)
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [24] inverse(double_divide(A,double_divide(A,a2))) -> inverse(a2)
% Current number of equations to process: 109
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [25]
% double_divide(B,double_divide(B,A)) <->
% double_divide(inverse(A),double_divide(inverse(a2),a2))
% Current number of equations to process: 109
% Current number of ordered equations: 1
% Current number of rules: 14
% Rule [25]
% double_divide(B,double_divide(B,A)) <->
% double_divide(inverse(A),double_divide(inverse(a2),a2)) is composed into 
% [25]
% double_divide(B,double_divide(B,A)) <-> double_divide(a2,double_divide(a2,A))
% New rule produced :
% [26]
% double_divide(inverse(A),double_divide(inverse(a2),a2)) <->
% double_divide(B,double_divide(B,A))
% Current number of equations to process: 109
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [27]
% double_divide(A,double_divide(B,double_divide(B,C))) <->
% double_divide(V_3,double_divide(V_3,double_divide(A,C)))
% Current number of equations to process: 108
% Current number of ordered equations: 1
% Current number of rules: 16
% New rule produced :
% [28]
% double_divide(V_3,double_divide(V_3,double_divide(A,C))) <->
% double_divide(A,double_divide(B,double_divide(B,C)))
% Current number of equations to process: 108
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [29]
% inverse(double_divide(A,B)) <->
% double_divide(inverse(double_divide(C,inverse(B))),double_divide(C,A))
% Rule
% [21]
% inverse(double_divide(B,a2)) <->
% double_divide(inverse(double_divide(A,inverse(a2))),double_divide(A,B))
% collapsed.
% Current number of equations to process: 107
% Current number of ordered equations: 1
% Current number of rules: 17
% New rule produced :
% [30]
% double_divide(inverse(double_divide(C,inverse(B))),double_divide(C,A)) <->
% inverse(double_divide(A,B))
% Rule
% [22]
% double_divide(inverse(double_divide(A,inverse(a2))),double_divide(A,B)) <->
% inverse(double_divide(B,a2)) collapsed.
% Current number of equations to process: 107
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [31]
% double_divide(double_divide(inverse(a2),a2),double_divide(inverse(a2),a2)) ->
% double_divide(inverse(a2),a2)
% Current number of equations to process: 106
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [32]
% double_divide(inverse(double_divide(A,B)),double_divide(A,inverse(a2))) ->
% double_divide(B,a2)
% Current number of equations to process: 120
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [33] inverse(double_divide(A,double_divide(A,B))) -> inverse(B)
% Rule [24] inverse(double_divide(A,double_divide(A,a2))) -> inverse(a2)
% collapsed.
% Current number of equations to process: 137
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [34]
% double_divide(a2,double_divide(a2,double_divide(inverse(A),A))) <->
% double_divide(inverse(a2),a2)
% Current number of equations to process: 137
% Current number of ordered equations: 1
% Current number of rules: 20
% New rule produced :
% [35]
% double_divide(inverse(a2),a2) <->
% double_divide(a2,double_divide(a2,double_divide(inverse(A),A)))
% Current number of equations to process: 137
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [36] inverse(double_divide(double_divide(inverse(a2),a2),B)) -> B
% Current number of equations to process: 136
% Current number of ordered equations: 0
% Current number of rules: 22
% Rule [35]
% double_divide(inverse(a2),a2) <->
% double_divide(a2,double_divide(a2,double_divide(inverse(A),A))) is composed into 
% [35] double_divide(inverse(a2),a2) <-> double_divide(inverse(A),A)
% Rule [26]
% double_divide(inverse(A),double_divide(inverse(a2),a2)) <->
% double_divide(B,double_divide(B,A)) is composed into [26]
% double_divide(
% inverse(A),
% double_divide(
% inverse(a2),a2)) ->
% A
% New rule produced : [37] double_divide(A,double_divide(A,B)) -> B
% Rule
% [20]
% double_divide(A,double_divide(A,B)) <-> double_divide(C,double_divide(C,B))
% collapsed.
% Rule
% [23]
% double_divide(A,double_divide(A,double_divide(inverse(a2),a2))) ->
% double_divide(inverse(a2),a2) collapsed.
% Rule
% [25]
% double_divide(B,double_divide(B,A)) <-> double_divide(a2,double_divide(a2,A))
% collapsed.
% Rule
% [27]
% double_divide(A,double_divide(B,double_divide(B,C))) <->
% double_divide(V_3,double_divide(V_3,double_divide(A,C))) collapsed.
% Rule
% [28]
% double_divide(V_3,double_divide(V_3,double_divide(A,C))) <->
% double_divide(A,double_divide(B,double_divide(B,C))) collapsed.
% Rule [33] inverse(double_divide(A,double_divide(A,B))) -> inverse(B)
% collapsed.
% Rule
% [34]
% double_divide(a2,double_divide(a2,double_divide(inverse(A),A))) <->
% double_divide(inverse(a2),a2) collapsed.
% Current number of equations to process: 135
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [38]
% inverse(double_divide(inverse(double_divide(A,B)),double_divide(A,a2))) ->
% inverse(double_divide(inverse(a2),B))
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [39]
% inverse(double_divide(double_divide(A,a2),double_divide(inverse(a2),double_divide(A,B))))
% -> B
% Current number of equations to process: 133
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [40]
% double_divide(inverse(a2),double_divide(A,inverse(double_divide(double_divide(A,a2),B))))
% -> B
% Current number of equations to process: 132
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [41] inverse(double_divide(inverse(A),inverse(double_divide(B,A)))) -> B
% Current number of equations to process: 148
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [42] inverse(double_divide(inverse(A),A)) <-> double_divide(inverse(a2),a2)
% Rule
% [19] inverse(double_divide(inverse(a2),a2)) -> double_divide(inverse(a2),a2)
% collapsed.
% Current number of equations to process: 153
% Current number of ordered equations: 2
% Current number of rules: 20
% New rule produced :
% [43] double_divide(inverse(A),inverse(B)) -> inverse(double_divide(A,B))
% Rule [41] inverse(double_divide(inverse(A),inverse(double_divide(B,A)))) -> B
% collapsed.
% Current number of equations to process: 154
% Current number of ordered equations: 1
% Current number of rules: 20
% New rule produced :
% [44] double_divide(inverse(a2),a2) <-> inverse(double_divide(inverse(A),A))
% Current number of equations to process: 154
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [45] inverse(inverse(double_divide(A,double_divide(B,A)))) -> B
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [46] double_divide(inverse(inverse(double_divide(A,B))),A) -> B
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [47] double_divide(double_divide(inverse(a2),a2),a2) -> inverse(a2)
% Current number of equations to process: 168
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [48] double_divide(A,a2) <-> double_divide(inverse(inverse(a2)),A)
% Rule [47] double_divide(double_divide(inverse(a2),a2),a2) -> inverse(a2)
% collapsed.
% Current number of equations to process: 169
% Current number of ordered equations: 1
% Current number of rules: 24
% New rule produced :
% [49] double_divide(inverse(inverse(a2)),A) <-> double_divide(A,a2)
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [50]
% double_divide(double_divide(inverse(a2),a2),inverse(double_divide(A,a2))) ->
% double_divide(A,a2)
% Current number of equations to process: 168
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [51] inverse(double_divide(inverse(a2),A)) <-> double_divide(inverse(A),a2)
% Current number of equations to process: 172
% Current number of ordered equations: 1
% Current number of rules: 27
% New rule produced :
% [52] double_divide(inverse(A),a2) <-> inverse(double_divide(inverse(a2),A))
% Current number of equations to process: 172
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [53] inverse(double_divide(double_divide(inverse(A),A),B)) -> B
% Rule [36] inverse(double_divide(double_divide(inverse(a2),a2),B)) -> B
% collapsed.
% Current number of equations to process: 177
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [54] inverse(double_divide(A,double_divide(inverse(B),B))) -> A
% Rule [17] inverse(double_divide(A,double_divide(inverse(a2),a2))) -> A
% collapsed.
% Current number of equations to process: 177
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [55] double_divide(inverse(A),double_divide(inverse(B),B)) -> A
% Rule [26] double_divide(inverse(A),double_divide(inverse(a2),a2)) -> A
% collapsed.
% Current number of equations to process: 177
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [56]
% double_divide(inverse(double_divide(A,B)),double_divide(B,a2)) ->
% double_divide(A,inverse(a2))
% Current number of equations to process: 180
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [57]
% double_divide(inverse(A),double_divide(B,inverse(a2))) <->
% double_divide(inverse(inverse(a2)),double_divide(B,A))
% Rule
% [32]
% double_divide(inverse(double_divide(A,B)),double_divide(A,inverse(a2))) ->
% double_divide(B,a2) collapsed.
% Current number of equations to process: 179
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [58]
% double_divide(double_divide(inverse(A),A),double_divide(inverse(a2),a2)) ->
% double_divide(inverse(a2),a2)
% Rule
% [31]
% double_divide(double_divide(inverse(a2),a2),double_divide(inverse(a2),a2)) ->
% double_divide(inverse(a2),a2) collapsed.
% Current number of equations to process: 177
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [59]
% inverse(double_divide(inverse(double_divide(inverse(A),A)),double_divide(B,a2)))
% -> double_divide(B,a2)
% Current number of equations to process: 176
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [60]
% double_divide(inverse(double_divide(A,B)),double_divide(A,a2)) ->
% double_divide(inverse(a2),B)
% Rule
% [38]
% inverse(double_divide(inverse(double_divide(A,B)),double_divide(A,a2))) ->
% inverse(double_divide(inverse(a2),B)) collapsed.
% Current number of equations to process: 175
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [61]
% inverse(double_divide(B,A)) <->
% double_divide(double_divide(inverse(a2),a2),double_divide(inverse(inverse(A)),B))
% Current number of equations to process: 174
% Current number of ordered equations: 1
% Current number of rules: 31
% New rule produced :
% [62]
% double_divide(double_divide(inverse(a2),a2),double_divide(inverse(inverse(A)),B))
% <-> inverse(double_divide(B,A))
% Current number of equations to process: 174
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [63]
% inverse(double_divide(A,double_divide(inverse(inverse(a2)),double_divide(B,C))))
% <->
% double_divide(inverse(inverse(a2)),double_divide(B,inverse(double_divide(C,A))))
% Current number of equations to process: 173
% Current number of ordered equations: 1
% Current number of rules: 33
% New rule produced :
% [64]
% double_divide(inverse(inverse(a2)),double_divide(B,inverse(double_divide(C,A))))
% <->
% inverse(double_divide(A,double_divide(inverse(inverse(a2)),double_divide(B,C))))
% Current number of equations to process: 173
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [65]
% inverse(double_divide(A,double_divide(inverse(double_divide(B,A)),C))) ->
% double_divide(B,C)
% Rule
% [3]
% inverse(double_divide(A,double_divide(inverse(double_divide(B,A)),double_divide(B,C))))
% -> C collapsed.
% Current number of equations to process: 179
% Current number of ordered equations: 0
% Current number of rules: 34
% Rule [29]
% inverse(double_divide(A,B)) <->
% double_divide(inverse(double_divide(C,inverse(B))),double_divide(C,A)) is composed into 
% [29]
% inverse(double_divide(A,B)) <->
% double_divide(C,inverse(double_divide(inverse(B),double_divide(C,A))))
% New rule produced :
% [66]
% double_divide(inverse(double_divide(A,B)),C) ->
% double_divide(A,inverse(double_divide(B,C)))
% Rule
% [4]
% inverse(double_divide(inverse(double_divide(A,B)),double_divide(C,B))) <->
% double_divide(inverse(double_divide(V_3,C)),double_divide(V_3,A)) collapsed.
% Rule
% [8]
% double_divide(inverse(double_divide(B,C)),double_divide(B,inverse(double_divide(C,A))))
% -> A collapsed.
% Rule
% [9]
% double_divide(inverse(double_divide(A,B)),double_divide(A,C)) <->
% double_divide(inverse(double_divide(V_3,B)),double_divide(V_3,C)) collapsed.
% Rule
% [30]
% double_divide(inverse(double_divide(C,inverse(B))),double_divide(C,A)) <->
% inverse(double_divide(A,B)) collapsed.
% Rule
% [56]
% double_divide(inverse(double_divide(A,B)),double_divide(B,a2)) ->
% double_divide(A,inverse(a2)) collapsed.
% Rule
% [59]
% inverse(double_divide(inverse(double_divide(inverse(A),A)),double_divide(B,a2)))
% -> double_divide(B,a2) collapsed.
% Rule
% [60]
% double_divide(inverse(double_divide(A,B)),double_divide(A,a2)) ->
% double_divide(inverse(a2),B) collapsed.
% Rule
% [65]
% inverse(double_divide(A,double_divide(inverse(double_divide(B,A)),C))) ->
% double_divide(B,C) collapsed.
% Current number of equations to process: 188
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [67]
% double_divide(A,inverse(double_divide(B,double_divide(A,a2)))) <->
% double_divide(inverse(a2),B)
% Current number of equations to process: 187
% Current number of ordered equations: 1
% Current number of rules: 28
% Rule [61]
% inverse(double_divide(B,A)) <->
% double_divide(double_divide(inverse(a2),a2),double_divide(inverse(
% inverse(A)),B)) is composed into 
% [61]
% inverse(double_divide(B,A)) <->
% double_divide(double_divide(a2,inverse(double_divide(a2,double_divide(a2,a2)))),
% double_divide(inverse(inverse(A)),B))
% Rule [42]
% inverse(double_divide(inverse(A),A)) <-> double_divide(inverse(a2),a2) is composed into 
% [42]
% inverse(double_divide(inverse(A),A)) ->
% double_divide(a2,inverse(double_divide(a2,double_divide(a2,a2))))
% Rule [18] double_divide(inverse(A),A) <-> double_divide(inverse(a2),a2) is composed into 
% [18]
% double_divide(inverse(A),A) ->
% double_divide(a2,inverse(double_divide(a2,double_divide(a2,a2))))
% New rule produced :
% [68]
% double_divide(inverse(a2),B) <->
% double_divide(A,inverse(double_divide(B,double_divide(A,a2))))
% Rule [35] double_divide(inverse(a2),a2) <-> double_divide(inverse(A),A)
% collapsed.
% Rule
% [44] double_divide(inverse(a2),a2) <-> inverse(double_divide(inverse(A),A))
% collapsed.
% Rule
% [50]
% double_divide(double_divide(inverse(a2),a2),inverse(double_divide(A,a2))) ->
% double_divide(A,a2) collapsed.
% Rule
% [58]
% double_divide(double_divide(inverse(A),A),double_divide(inverse(a2),a2)) ->
% double_divide(inverse(a2),a2) collapsed.
% Rule
% [62]
% double_divide(double_divide(inverse(a2),a2),double_divide(inverse(inverse(A)),B))
% <-> inverse(double_divide(B,A)) collapsed.
% Current number of equations to process: 191
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [69] inverse(double_divide(a2,inverse(a2))) -> double_divide(a2,inverse(a2))
% Current number of equations to process: 190
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [70]
% inverse(double_divide(A,double_divide(B,inverse(double_divide(A,C))))) ->
% double_divide(B,C)
% Current number of equations to process: 189
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [71]
% double_divide(A,inverse(double_divide(B,double_divide(A,inverse(C))))) ->
% double_divide(B,C)
% Current number of equations to process: 188
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [72] double_divide(inverse(A),double_divide(a2,inverse(a2))) -> A
% Current number of equations to process: 188
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [73] inverse(double_divide(double_divide(a2,inverse(a2)),A)) -> A
% Current number of equations to process: 189
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [74]
% inverse(double_divide(inverse(inverse(a2)),double_divide(inverse(A),a2))) ->
% A
% Current number of equations to process: 188
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [75]
% inverse(double_divide(double_divide(A,a2),double_divide(inverse(a2),B))) ->
% double_divide(A,B)
% Rule
% [39]
% inverse(double_divide(double_divide(A,a2),double_divide(inverse(a2),double_divide(A,B))))
% -> B collapsed.
% Current number of equations to process: 189
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [76]
% double_divide(double_divide(A,a2),B) ->
% double_divide(inverse(a2),double_divide(A,inverse(B)))
% Rule
% [40]
% double_divide(inverse(a2),double_divide(A,inverse(double_divide(double_divide(A,a2),B))))
% -> B collapsed.
% Rule
% [75]
% inverse(double_divide(double_divide(A,a2),double_divide(inverse(a2),B))) ->
% double_divide(A,B) collapsed.
% Current number of equations to process: 192
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [77]
% inverse(inverse(double_divide(A,B))) <-> double_divide(inverse(inverse(B)),A)
% Current number of equations to process: 194
% Current number of ordered equations: 1
% Current number of rules: 30
% New rule produced :
% [78]
% double_divide(inverse(inverse(B)),A) <-> inverse(inverse(double_divide(A,B)))
% Rule [46] double_divide(inverse(inverse(double_divide(A,B))),A) -> B
% collapsed.
% Current number of equations to process: 195
% Current number of ordered equations: 0
% Current number of rules: 30
% Rule [61]
% inverse(double_divide(B,A)) <->
% double_divide(double_divide(a2,inverse(double_divide(a2,double_divide(a2,a2)))),
% double_divide(inverse(inverse(A)),B)) is composed into [61]
% inverse(double_divide(B,A))
% <->
% double_divide(
% double_divide(a2,
% inverse(double_divide(a2,
% double_divide(a2,a2)))),
% double_divide(A,B))
% Rule [57]
% double_divide(inverse(A),double_divide(B,inverse(a2))) <->
% double_divide(inverse(inverse(a2)),double_divide(B,A)) is composed into 
% [57]
% double_divide(inverse(A),double_divide(B,inverse(a2))) <->
% double_divide(a2,double_divide(B,A))
% Rule [48] double_divide(A,a2) <-> double_divide(inverse(inverse(a2)),A) is composed into 
% [48] double_divide(A,a2) <-> double_divide(a2,A)
% New rule produced : [79] inverse(inverse(B)) -> B
% Rule [45] inverse(inverse(double_divide(A,double_divide(B,A)))) -> B
% collapsed.
% Rule [49] double_divide(inverse(inverse(a2)),A) <-> double_divide(A,a2)
% collapsed.
% Rule
% [63]
% inverse(double_divide(A,double_divide(inverse(inverse(a2)),double_divide(B,C))))
% <->
% double_divide(inverse(inverse(a2)),double_divide(B,inverse(double_divide(C,A))))
% collapsed.
% Rule
% [64]
% double_divide(inverse(inverse(a2)),double_divide(B,inverse(double_divide(C,A))))
% <->
% inverse(double_divide(A,double_divide(inverse(inverse(a2)),double_divide(B,C))))
% collapsed.
% Rule
% [74]
% inverse(double_divide(inverse(inverse(a2)),double_divide(inverse(A),a2))) ->
% A collapsed.
% Rule
% [77]
% inverse(inverse(double_divide(A,B))) <-> double_divide(inverse(inverse(B)),A)
% collapsed.
% Rule
% [78]
% double_divide(inverse(inverse(B)),A) <-> inverse(inverse(double_divide(A,B)))
% collapsed.
% Current number of equations to process: 198
% Current number of ordered equations: 0
% Current number of rules: 24
% double_divide(B,A) = double_divide(A,B) (birth = 356, lhs_size = 3, rhs_size = 3,trace = Cp of 43 and 29)
% Initializing completion ...
% New rule produced : [1] B <-> inverse(inverse(B))
% Current number of equations to process: 195
% Current number of ordered equations: 41
% Current number of rules: 1
% New rule produced : [2] inverse(inverse(B)) <-> B
% Current number of equations to process: 195
% Current number of ordered equations: 40
% Current number of rules: 2
% New rule produced : [3] inverse(A double_divide B) <-> multiply(A,B)
% Current number of equations to process: 196
% Current number of ordered equations: 39
% Current number of rules: 3
% New rule produced : [4] multiply(A,B) <-> inverse(A double_divide B)
% Current number of equations to process: 196
% Current number of ordered equations: 38
% Current number of rules: 4
% New rule produced :
% [5] inverse(A double_divide B) <-> inverse(A) double_divide inverse(B)
% Current number of equations to process: 195
% Current number of ordered equations: 45
% Current number of rules: 5
% New rule produced :
% [6] inverse(a2 double_divide inverse(a2)) <-> a2 double_divide inverse(a2)
% Current number of equations to process: 195
% Current number of ordered equations: 44
% Current number of rules: 6
% New rule produced :
% [7] inverse(inverse(a2) double_divide A) <-> a2 double_divide inverse(A)
% Rule
% [6] inverse(a2 double_divide inverse(a2)) <-> a2 double_divide inverse(a2)
% collapsed.
% Current number of equations to process: 195
% Current number of ordered equations: 43
% Current number of rules: 6
% New rule produced :
% [8] a2 double_divide inverse(A) <-> inverse(inverse(a2) double_divide A)
% Current number of equations to process: 195
% Current number of ordered equations: 41
% Current number of rules: 7
% New rule produced :
% [9] inverse(A) double_divide inverse(B) <-> inverse(A double_divide B)
% Current number of equations to process: 195
% Current number of ordered equations: 40
% Current number of rules: 8
% New rule produced :
% [10] A <-> inverse((a2 double_divide inverse(a2)) double_divide A)
% Current number of equations to process: 216
% Current number of ordered equations: 51
% Current number of rules: 9
% New rule produced :
% [11] A <-> inverse((inverse(B) double_divide B) double_divide A)
% Rule [10] A <-> inverse((a2 double_divide inverse(a2)) double_divide A)
% collapsed.
% Current number of equations to process: 218
% Current number of ordered equations: 49
% Current number of rules: 9
% New rule produced :
% [12] A <-> inverse(A) double_divide (a2 double_divide inverse(a2))
% Current number of equations to process: 222
% Current number of ordered equations: 48
% Current number of rules: 10
% New rule produced :
% [13] A <-> inverse(A) double_divide (inverse(B) double_divide B)
% Rule [12] A <-> inverse(A) double_divide (a2 double_divide inverse(a2))
% collapsed.
% Current number of equations to process: 222
% Current number of ordered equations: 47
% Current number of rules: 10
% New rule produced :
% [14] inverse((inverse(A) double_divide A) double_divide B) <-> B
% Current number of equations to process: 222
% Current number of ordered equations: 44
% Current number of rules: 11
% New rule produced :
% [15] inverse(A) double_divide (a2 double_divide inverse(a2)) <-> A
% Current number of equations to process: 222
% Current number of ordered equations: 43
% Current number of rules: 12
% New rule produced :
% [16] inverse(A) double_divide (inverse(B) double_divide B) <-> A
% Rule [15] inverse(A) double_divide (a2 double_divide inverse(a2)) <-> A
% collapsed.
% Current number of equations to process: 222
% Current number of ordered equations: 42
% Current number of rules: 12
% New rule produced :
% [17]
% inverse(A double_divide B) double_divide C <->
% inverse(B double_divide C) double_divide A
% Current number of equations to process: 278
% Current number of ordered equations: 95
% Current number of rules: 13
% New rule produced :
% [18]
% inverse(B double_divide C) double_divide A <->
% inverse(A double_divide B) double_divide C
% Current number of equations to process: 278
% Current number of ordered equations: 94
% Current number of rules: 14
% New rule produced :
% [19]
% a2 double_divide (A double_divide B) <->
% inverse(A) double_divide (inverse(a2) double_divide B)
% Current number of equations to process: 334
% Current number of ordered equations: 117
% Current number of rules: 15
% New rule produced :
% [20]
% (a2 double_divide A) double_divide B <->
% inverse(a2) double_divide (inverse(B) double_divide A)
% Current number of equations to process: 334
% Current number of ordered equations: 116
% Current number of rules: 16
% New rule produced :
% [21]
% inverse(A) double_divide (inverse(a2) double_divide B) <->
% a2 double_divide (A double_divide B)
% Current number of equations to process: 334
% Current number of ordered equations: 115
% Current number of rules: 17
% New rule produced :
% [22]
% inverse(a2) double_divide (inverse(B) double_divide A) <->
% (a2 double_divide A) double_divide B
% Current number of equations to process: 334
% Current number of ordered equations: 114
% Current number of rules: 18
% New rule produced :
% [23]
% a2 double_divide inverse(a2 double_divide (a2 double_divide a2)) <->
% inverse(A) double_divide A
% Current number of equations to process: 450
% Current number of ordered equations: 173
% Current number of rules: 19
% New rule produced :
% [24]
% inverse(A) double_divide A <->
% a2 double_divide inverse(a2 double_divide (a2 double_divide a2))
% Current number of equations to process: 450
% Current number of ordered equations: 172
% Current number of rules: 20
% New rule produced :
% [25]
% inverse(a2) double_divide B <->
% inverse((a2 double_divide A) double_divide B) double_divide A
% Current number of equations to process: 450
% Current number of ordered equations: 171
% Current number of rules: 21
% New rule produced :
% [26]
% inverse((a2 double_divide A) double_divide B) double_divide A <->
% inverse(a2) double_divide B
% Current number of equations to process: 450
% Current number of ordered equations: 170
% Current number of rules: 22
% New rule produced :
% [27]
% inverse(inverse(A) double_divide A) <->
% a2 double_divide inverse(a2 double_divide (a2 double_divide a2))
% Current number of equations to process: 578
% Current number of ordered equations: 247
% Current number of rules: 23
% New rule produced :
% [28]
% inverse((inverse(A double_divide C) double_divide B) double_divide A) <->
% B double_divide C
% Current number of equations to process: 578
% Current number of ordered equations: 246
% Current number of rules: 24
% New rule produced :
% [29]
% B double_divide C <->
% inverse((inverse(A double_divide C) double_divide B) double_divide A)
% Current number of equations to process: 578
% Current number of ordered equations: 245
% Current number of rules: 25
% New rule produced :
% [30]
% B double_divide C <->
% inverse((inverse(C) double_divide A) double_divide B) double_divide A
% Current number of equations to process: 578
% Current number of ordered equations: 244
% Current number of rules: 26
% New rule produced :
% [31]
% a2 double_divide inverse(a2 double_divide (a2 double_divide a2)) <->
% inverse(inverse(A) double_divide A)
% Current number of equations to process: 578
% Current number of ordered equations: 243
% Current number of rules: 27
% New rule produced :
% [32]
% inverse((inverse(C) double_divide A) double_divide B) double_divide A <->
% B double_divide C
% Current number of equations to process: 578
% Current number of ordered equations: 242
% Current number of rules: 28
% New rule produced :
% [33]
% inverse(A double_divide B) <->
% inverse(inverse(B) double_divide (A double_divide C)) double_divide C
% Current number of equations to process: 932
% Current number of ordered equations: 375
% Current number of rules: 29
% New rule produced :
% [34]
% inverse(inverse(B) double_divide (A double_divide C)) double_divide C <->
% inverse(A double_divide B)
% Current number of equations to process: 932
% Current number of ordered equations: 374
% Current number of rules: 30
% New rule produced :
% [35]
% B <->
% inverse(inverse(inverse(A double_divide B) double_divide C) double_divide 
% (A double_divide C))
% Current number of equations to process: 941
% Current number of ordered equations: 755
% Current number of rules: 31
% New rule produced :
% [36]
% inverse(inverse(inverse(A double_divide B) double_divide C) double_divide 
% (A double_divide C)) <-> B
% Current number of equations to process: 941
% Current number of ordered equations: 754
% Current number of rules: 32
% New rule produced :
% [37]
% inverse(A double_divide B) <->
% (a2 double_divide inverse(a2 double_divide (a2 double_divide a2))) double_divide 
% (A double_divide B)
% Current number of equations to process: 938
% Current number of ordered equations: 1333
% Current number of rules: 33
% New rule produced :
% [38]
% (a2 double_divide inverse(a2 double_divide (a2 double_divide a2))) double_divide 
% (A double_divide B) <-> inverse(A double_divide B)
% Current number of equations to process: 938
% Current number of ordered equations: 1332
% Current number of rules: 34
% multiply(B,A) = multiply(A,B) (birth = 28, lhs_size = 3, rhs_size = 3,trace = Self cp of 3)
% Initializing completion ...
% New rule produced : [1] B <-> inverse(inverse(B))
% Current number of equations to process: 1
% Current number of ordered equations: 39
% Current number of rules: 1
% New rule produced : [2] inverse(inverse(B)) <-> B
% Current number of equations to process: 1
% Current number of ordered equations: 38
% Current number of rules: 2
% New rule produced : [3] (eq)(A,A) -> (true)
% Current number of equations to process: 1
% Current number of ordered equations: 37
% Current number of rules: 3
% New rule produced : [4] inverse(A double_divide B) <-> A multiply B
% Current number of equations to process: 2
% Current number of ordered equations: 35
% Current number of rules: 4
% New rule produced :
% [5] (eq)(B,(A double_divide B) double_divide A) -> (false)
% Current number of equations to process: 2
% Current number of ordered equations: 34
% Current number of rules: 5
% New rule produced : [6] A multiply B <-> inverse(A double_divide B)
% Current number of equations to process: 2
% Current number of ordered equations: 32
% Current number of rules: 6
% New rule produced :
% [7] inverse(A double_divide B) <-> inverse(A) double_divide inverse(B)
% Current number of equations to process: 4
% Current number of ordered equations: 37
% Current number of rules: 7
% New rule produced :
% [8] inverse(inverse(a2) double_divide A) <-> a2 double_divide inverse(A)
% Current number of equations to process: 4
% Current number of ordered equations: 36
% Current number of rules: 8
% New rule produced :
% [9] a2 double_divide inverse(A) <-> inverse(inverse(a2) double_divide A)
% Current number of equations to process: 4
% Current number of ordered equations: 35
% Current number of rules: 9
% New rule produced :
% [10] inverse(A) double_divide inverse(B) <-> inverse(A double_divide B)
% Current number of equations to process: 4
% Current number of ordered equations: 34
% Current number of rules: 10
% New rule produced :
% [11] A <-> inverse((inverse(B) double_divide B) double_divide A)
% Current number of equations to process: 26
% Current number of ordered equations: 42
% Current number of rules: 11
% New rule produced :
% [12] A <-> inverse(A) double_divide (inverse(B) double_divide B)
% Current number of equations to process: 26
% Current number of ordered equations: 41
% Current number of rules: 12
% New rule produced :
% [13] inverse((inverse(A) double_divide A) double_divide B) <-> B
% Current number of equations to process: 26
% Current number of ordered equations: 39
% Current number of rules: 13
% New rule produced :
% [14] inverse(A) double_divide (inverse(B) double_divide B) <-> A
% Current number of equations to process: 26
% Current number of ordered equations: 38
% Current number of rules: 14
% New rule produced :
% [15]
% inverse(A double_divide B) double_divide C <->
% inverse(B double_divide C) double_divide A
% Current number of equations to process: 87
% Current number of ordered equations: 92
% Current number of rules: 15
% New rule produced :
% [16]
% inverse(B double_divide C) double_divide A <->
% inverse(A double_divide B) double_divide C
% Current number of equations to process: 87
% Current number of ordered equations: 91
% Current number of rules: 16
% New rule produced :
% [17]
% a2 double_divide (A double_divide B) <->
% inverse(A) double_divide (inverse(a2) double_divide B)
% Current number of equations to process: 146
% Current number of ordered equations: 114
% Current number of rules: 17
% New rule produced :
% [18]
% (a2 double_divide A) double_divide B <->
% inverse(a2) double_divide (inverse(B) double_divide A)
% Current number of equations to process: 146
% Current number of ordered equations: 113
% Current number of rules: 18
% New rule produced :
% [19]
% inverse(A) double_divide (inverse(a2) double_divide B) <->
% a2 double_divide (A double_divide B)
% Current number of equations to process: 146
% Current number of ordered equations: 112
% Current number of rules: 19
% New rule produced :
% [20]
% inverse(a2) double_divide (inverse(B) double_divide A) <->
% (a2 double_divide A) double_divide B
% Current number of equations to process: 146
% Current number of ordered equations: 111
% Current number of rules: 20
% New rule produced :
% [21]
% a2 double_divide inverse(a2 double_divide (a2 double_divide a2)) <->
% inverse(A) double_divide A
% Current number of equations to process: 266
% Current number of ordered equations: 174
% Current number of rules: 21
% New rule produced :
% [22]
% inverse(A) double_divide A <->
% a2 double_divide inverse(a2 double_divide (a2 double_divide a2))
% Current number of equations to process: 266
% Current number of ordered equations: 173
% Current number of rules: 22
% New rule produced :
% [23]
% inverse(a2) double_divide B <->
% inverse((a2 double_divide A) double_divide B) double_divide A
% Current number of equations to process: 266
% Current number of ordered equations: 172
% Current number of rules: 23
% New rule produced :
% [24]
% inverse((a2 double_divide A) double_divide B) double_divide A <->
% inverse(a2) double_divide B
% Current number of equations to process: 266
% Current number of ordered equations: 171
% Current number of rules: 24
% New rule produced :
% [25]
% inverse(inverse(A) double_divide A) <->
% a2 double_divide inverse(a2 double_divide (a2 double_divide a2))
% Current number of equations to process: 398
% Current number of ordered equations: 242
% Current number of rules: 25
% New rule produced :
% [26]
% inverse((inverse(A double_divide C) double_divide B) double_divide A) <->
% B double_divide C
% Current number of equations to process: 398
% Current number of ordered equations: 241
% Current number of rules: 26
% New rule produced :
% [27]
% B double_divide C <->
% inverse((inverse(A double_divide C) double_divide B) double_divide A)
% Current number of equations to process: 398
% Current number of ordered equations: 240
% Current number of rules: 27
% New rule produced :
% [28]
% B double_divide C <->
% inverse((inverse(C) double_divide A) double_divide B) double_divide A
% Current number of equations to process: 398
% Current number of ordered equations: 239
% Current number of rules: 28
% New rule produced :
% [29]
% a2 double_divide inverse(a2 double_divide (a2 double_divide a2)) <->
% inverse(inverse(A) double_divide A)
% Current number of equations to process: 398
% Current number of ordered equations: 238
% Current number of rules: 29
% New rule produced :
% [30]
% inverse((inverse(C) double_divide A) double_divide B) double_divide A <->
% B double_divide C
% Current number of equations to process: 398
% Current number of ordered equations: 237
% Current number of rules: 30
% New rule produced :
% [31]
% inverse(A double_divide B) <->
% inverse(inverse(B) double_divide (A double_divide C)) double_divide C
% Current number of equations to process: 761
% Current number of ordered equations: 358
% Current number of rules: 31
% New rule produced :
% [32]
% inverse(inverse(B) double_divide (A double_divide C)) double_divide C <->
% inverse(A double_divide B)
% Current number of equations to process: 761
% Current number of ordered equations: 357
% Current number of rules: 32
% New rule produced :
% [33]
% B <->
% inverse(inverse(inverse(A double_divide B) double_divide C) double_divide 
% (A double_divide C))
% Current number of equations to process: 753
% Current number of ordered equations: 742
% Current number of rules: 33
% New rule produced :
% [34]
% inverse(inverse(inverse(A double_divide B) double_divide C) double_divide 
% (A double_divide C)) <-> B
% Current number of equations to process: 753
% Current number of ordered equations: 741
% Current number of rules: 34
% New rule produced :
% [35]
% inverse(A double_divide B) <->
% (a2 double_divide inverse(a2 double_divide (a2 double_divide a2))) double_divide 
% (A double_divide B)
% Current number of equations to process: 783
% Current number of ordered equations: 1252
% Current number of rules: 35
% New rule produced :
% [36]
% (a2 double_divide inverse(a2 double_divide (a2 double_divide a2))) double_divide 
% (A double_divide B) <-> inverse(A double_divide B)
% Current number of equations to process: 783
% Current number of ordered equations: 1251
% Current number of rules: 36
% Rule [5] (eq)(B,(A double_divide B) double_divide A) -> (false) is composed into 
% [5] (eq)(B,(A double_divide B) double_divide A) -> (true)
% New rule produced : [37] (false) -> (true)
% The conjecture has been reduced. 
% Conjecture is now:
% Trivial
% 
% Current number of equations to process: 837
% Current number of ordered equations: 1196
% Current number of rules: 37
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
% 
% The following 3 rules have been used:
% [5] 
% (eq)(B,(A double_divide B) double_divide A) -> (false); trace = in the starting set
% [14] inverse(A) double_divide (inverse(B) double_divide B) <-> A; trace = in the starting set
% [37] (false) -> (true); trace = Cp of 14 and 5
% New rule produced :
% [38] (eq)((A double_divide B) double_divide A,B) -> (true)
% Current number of equations to process: 825
% Current number of ordered equations: 1196
% Current number of rules: 38
% New rule produced : [39] (eq)(inverse(inverse(A)),A) -> (true)
% Current number of equations to process: 824
% Current number of ordered equations: 1196
% Current number of rules: 39
% New rule produced : [40] A <-> inverse(inverse(inverse(inverse(A))))
% Current number of equations to process: 824
% Current number of ordered equations: 1195
% Current number of rules: 40
% New rule produced : [41] inverse(inverse(inverse(inverse(A)))) <-> A
% Current number of equations to process: 824
% Current number of ordered equations: 1194
% Current number of rules: 41
% New rule produced : [42] inverse(A multiply B) <-> A double_divide B
% Current number of equations to process: 824
% Current number of ordered equations: 1192
% Current number of rules: 42
% New rule produced : [43] A double_divide B <-> inverse(A multiply B)
% Current number of equations to process: 824
% Current number of ordered equations: 1190
% Current number of rules: 43
% New rule produced : [44] A <-> a2 double_divide (a2 double_divide A)
% Current number of equations to process: 824
% Current number of ordered equations: 1187
% Current number of rules: 44
% New rule produced : [45] a2 double_divide (a2 double_divide A) <-> A
% Current number of equations to process: 824
% Current number of ordered equations: 1184
% Current number of rules: 45
% New rule produced : [46] a2 <-> (a2 double_divide A) double_divide A
% Current number of equations to process: 824
% Current number of ordered equations: 1181
% Current number of rules: 46
% New rule produced : [47] (a2 double_divide A) double_divide A <-> a2
% Current number of equations to process: 824
% Current number of ordered equations: 1178
% Current number of rules: 47
% New rule produced : [48] A <-> (A double_divide B) double_divide B
% Rule [44] A <-> a2 double_divide (a2 double_divide A) collapsed.
% Rule [46] a2 <-> (a2 double_divide A) double_divide A collapsed.
% Current number of equations to process: 824
% Current number of ordered equations: 1175
% Current number of rules: 46
% New rule produced : [49] (A double_divide B) double_divide B <-> A
% Rule [45] a2 double_divide (a2 double_divide A) <-> A collapsed.
% Rule [47] (a2 double_divide A) double_divide A <-> a2 collapsed.
% Current number of equations to process: 824
% Current number of ordered equations: 1172
% Current number of rules: 45
% New rule produced :
% [50] a2 double_divide inverse(A) <-> inverse(a2) multiply A
% Current number of equations to process: 824
% Current number of ordered equations: 1171
% Current number of rules: 46
% New rule produced :
% [51] inverse(a2) multiply A <-> a2 double_divide inverse(A)
% Current number of equations to process: 824
% Current number of ordered equations: 1170
% Current number of rules: 47
% New rule produced :
% [52] inverse(B) double_divide B <-> inverse(A) double_divide A
% Current number of equations to process: 824
% Current number of ordered equations: 1154
% Current number of rules: 48
% New rule produced :
% [53] (eq)(inverse(A) double_divide A,inverse(B) double_divide B) -> (true)
% Current number of equations to process: 823
% Current number of ordered equations: 1154
% Current number of rules: 49
% New rule produced : [54] a2 <-> a2 multiply (b2 multiply inverse(b2))
% Current number of equations to process: 823
% Current number of ordered equations: 1153
% Current number of rules: 50
% New rule produced : [55] a2 multiply (b2 multiply inverse(b2)) <-> a2
% Current number of equations to process: 823
% Current number of ordered equations: 1152
% Current number of rules: 51
% New rule produced : [56] A multiply B <-> inverse(A) double_divide inverse(B)
% Current number of equations to process: 823
% Current number of ordered equations: 1151
% Current number of rules: 52
% New rule produced : [57] inverse(A) double_divide inverse(B) <-> A multiply B
% Current number of equations to process: 823
% Current number of ordered equations: 1150
% Current number of rules: 53
% New rule produced : [58] B <-> (inverse(A) double_divide A) multiply B
% Current number of equations to process: 823
% Current number of ordered equations: 1148
% Current number of rules: 54
% New rule produced : [59] (inverse(A) double_divide A) multiply B <-> B
% Current number of equations to process: 823
% Current number of ordered equations: 1146
% Current number of rules: 55
% New rule produced :
% [60] inverse(a2 double_divide inverse(A)) <-> inverse(a2) double_divide A
% Current number of equations to process: 823
% Current number of ordered equations: 1144
% Current number of rules: 56
% New rule produced :
% [61] inverse(a2) double_divide A <-> inverse(a2 double_divide inverse(A))
% Current number of equations to process: 823
% Current number of ordered equations: 1142
% Current number of rules: 57
% New rule produced :
% [62] inverse(inverse(B) double_divide A) <-> inverse(A) double_divide B
% Rule [8] inverse(inverse(a2) double_divide A) <-> a2 double_divide inverse(A)
% collapsed.
% Rule
% [60] inverse(a2 double_divide inverse(A)) <-> inverse(a2) double_divide A
% collapsed.
% Current number of equations to process: 823
% Current number of ordered equations: 1034
% Current number of rules: 56
% New rule produced :
% [63] inverse(A) double_divide B <-> inverse(inverse(B) double_divide A)
% Rule [9] a2 double_divide inverse(A) <-> inverse(inverse(a2) double_divide A)
% collapsed.
% Rule
% [61] inverse(a2) double_divide A <-> inverse(a2 double_divide inverse(A))
% collapsed.
% Current number of equations to process: 823
% Current number of ordered equations: 940
% Current number of rules: 55
% New rule produced :
% [64] inverse(A) <-> (inverse(B) double_divide B) double_divide A
% Current number of equations to process: 823
% Current number of ordered equations: 932
% Current number of rules: 56
% New rule produced :
% [65] (inverse(B) double_divide B) double_divide A <-> inverse(A)
% Current number of equations to process: 823
% Current number of ordered equations: 924
% Current number of rules: 57
% New rule produced :
% [66] (eq)(inverse(A),(inverse(B) double_divide B) double_divide A) -> (true)
% Current number of equations to process: 822
% Current number of ordered equations: 924
% Current number of rules: 58
% New rule produced :
% [67] inverse(inverse(B) double_divide B) <-> inverse(A) double_divide A
% Current number of equations to process: 820
% Current number of ordered equations: 919
% Current number of rules: 59
% New rule produced :
% [68] inverse(A) double_divide A <-> inverse(inverse(B) double_divide B)
% Current number of equations to process: 820
% Current number of ordered equations: 914
% Current number of rules: 60
% New rule produced :
% [69] inverse(inverse(inverse(A double_divide B))) <-> A multiply B
% Current number of equations to process: 820
% Current number of ordered equations: 913
% Current number of rules: 61
% New rule produced :
% [70] A multiply B <-> inverse(inverse(inverse(A double_divide B)))
% Current number of equations to process: 820
% Current number of ordered equations: 912
% Current number of rules: 62
% New rule produced :
% [71] (eq)(A,inverse(inverse(A double_divide B)) double_divide B) -> (true)
% Current number of equations to process: 818
% Current number of ordered equations: 913
% Current number of rules: 63
% New rule produced :
% [72] (eq)(A,inverse(inverse((A double_divide B) double_divide B))) -> (true)
% Current number of equations to process: 818
% Current number of ordered equations: 912
% Current number of rules: 64
% New rule produced :
% [73] inverse(inverse(A) double_divide inverse(B)) <-> A double_divide B
% Current number of equations to process: 818
% Current number of ordered equations: 910
% Current number of rules: 65
% New rule produced :
% [74] A double_divide B <-> inverse(inverse(A) double_divide inverse(B))
% Current number of equations to process: 818
% Current number of ordered equations: 908
% Current number of rules: 66
% New rule produced :
% [75] inverse(inverse(A double_divide B)) <-> inverse(A) multiply inverse(B)
% Current number of equations to process: 818
% Current number of ordered equations: 907
% Current number of rules: 67
% New rule produced :
% [76] inverse(A) multiply inverse(B) <-> inverse(inverse(A double_divide B))
% Current number of equations to process: 818
% Current number of ordered equations: 906
% Current number of rules: 68
% New rule produced :
% [77]
% (eq)(A,inverse(A) double_divide (a2 double_divide inverse(a2))) -> (true)
% Current number of equations to process: 817
% Current number of ordered equations: 906
% Current number of rules: 69
% New rule produced :
% [78]
% (eq)(a2,inverse(a2) double_divide (inverse(A) double_divide A)) -> (true)
% Current number of equations to process: 816
% Current number of ordered equations: 906
% Current number of rules: 70
% New rule produced :
% [79] A <-> a2 double_divide (inverse(inverse(a2)) double_divide A)
% Current number of equations to process: 816
% Current number of ordered equations: 904
% Current number of rules: 71
% New rule produced :
% [80] a2 double_divide (inverse(inverse(a2)) double_divide A) <-> A
% Current number of equations to process: 816
% Current number of ordered equations: 902
% Current number of rules: 72
% New rule produced :
% [81] a2 <-> (a2 double_divide inverse(inverse(A))) double_divide A
% Current number of equations to process: 816
% Current number of ordered equations: 900
% Current number of rules: 73
% New rule produced :
% [82] (a2 double_divide inverse(inverse(A))) double_divide A <-> a2
% Current number of equations to process: 816
% Current number of ordered equations: 898
% Current number of rules: 74
% New rule produced :
% [83] A <-> inverse(inverse(A double_divide B)) double_divide B
% Current number of equations to process: 816
% Current number of ordered equations: 896
% Current number of rules: 75
% New rule produced :
% [84] inverse(inverse(A double_divide B)) double_divide B <-> A
% Current number of equations to process: 816
% Current number of ordered equations: 894
% Current number of rules: 76
% New rule produced :
% [85]
% (A double_divide B) double_divide A <-> (B double_divide C) double_divide C
% Current number of equations to process: 816
% Current number of ordered equations: 890
% Current number of rules: 77
% New rule produced :
% [86]
% (eq)(inverse(A),a2 double_divide inverse(inverse(a2) double_divide A)) ->
% (true)
% Current number of equations to process: 815
% Current number of ordered equations: 890
% Current number of rules: 78
% New rule produced :
% [87]
% (eq)(inverse(A),inverse(A double_divide B) double_divide inverse(B)) ->
% (true)
% Current number of equations to process: 814
% Current number of ordered equations: 890
% Current number of rules: 79
% New rule produced :
% [88]
% inverse(inverse(inverse(A double_divide B))) <->
% inverse(A) double_divide inverse(B)
% Current number of equations to process: 814
% Current number of ordered equations: 889
% Current number of rules: 80
% New rule produced :
% [89]
% inverse(A) double_divide inverse(B) <->
% inverse(inverse(inverse(A double_divide B)))
% Current number of equations to process: 814
% Current number of ordered equations: 888
% Current number of rules: 81
% New rule produced :
% [90]
% (eq)(a2,inverse(inverse(a2) double_divide A) double_divide inverse(A)) ->
% (true)
% Current number of equations to process: 813
% Current number of ordered equations: 888
% Current number of rules: 82
% New rule produced :
% [91] B <-> inverse(inverse(A) double_divide A) double_divide inverse(B)
% Current number of equations to process: 813
% Current number of ordered equations: 885
% Current number of rules: 83
% New rule produced :
% [92] inverse(inverse(A) double_divide A) double_divide inverse(B) <-> B
% Current number of equations to process: 813
% Current number of ordered equations: 882
% Current number of rules: 84
% New rule produced :
% [93] B <-> inverse(inverse(inverse(A) double_divide A) double_divide B)
% Current number of equations to process: 813
% Current number of ordered equations: 879
% Current number of rules: 85
% New rule produced :
% [94] inverse(inverse(inverse(A) double_divide A) double_divide B) <-> B
% Current number of equations to process: 813
% Current number of ordered equations: 876
% Current number of rules: 86
% New rule produced :
% [95]
% (A multiply B) double_divide C <-> inverse(A double_divide C) double_divide B
% Current number of equations to process: 813
% Current number of ordered equations: 874
% Current number of rules: 87
% New rule produced :
% [96]
% (A multiply B) double_divide C <-> inverse(B double_divide C) double_divide A
% Current number of equations to process: 813
% Current number of ordered equations: 872
% Current number of rules: 88
% New rule produced :
% [97]
% inverse(A double_divide C) double_divide B <-> (A multiply B) double_divide C
% Current number of equations to process: 813
% Current number of ordered equations: 870
% Current number of rules: 89
% New rule produced :
% [98]
% inverse(B double_divide C) double_divide A <-> (A multiply B) double_divide C
% Current number of equations to process: 813
% Current number of ordered equations: 868
% Current number of rules: 90
% New rule produced :
% [99] B <-> inverse(inverse(inverse(A) double_divide B) double_divide A)
% Current number of equations to process: 813
% Current number of ordered equations: 865
% Current number of rules: 91
% New rule produced :
% [100] B <-> inverse(inverse(A double_divide B) double_divide inverse(A))
% Current number of equations to process: 813
% Current number of ordered equations: 863
% Current number of rules: 92
% New rule produced :
% [101] inverse(inverse(inverse(A) double_divide B) double_divide A) <-> B
% Current number of equations to process: 813
% Current number of ordered equations: 860
% Current number of rules: 93
% New rule produced :
% [102] inverse(inverse(A double_divide B) double_divide inverse(A)) <-> B
% Current number of equations to process: 813
% Current number of ordered equations: 858
% Current number of rules: 94
% New rule produced :
% [103]
% inverse(A double_divide B) <->
% inverse(inverse(inverse(A))) double_divide inverse(B)
% Current number of equations to process: 815
% Current number of ordered equations: 857
% Current number of rules: 95
% New rule produced :
% [104]
% inverse(inverse(inverse(A))) double_divide inverse(B) <->
% inverse(A double_divide B)
% Current number of equations to process: 815
% Current number of ordered equations: 856
% Current number of rules: 96
% New rule produced :
% [105]
% inverse((A double_divide B) double_divide C) <->
% (A multiply B) double_divide inverse(C)
% Current number of equations to process: 815
% Current number of ordered equations: 855
% Current number of rules: 97
% New rule produced :
% [106]
% (A multiply B) double_divide inverse(C) <->
% inverse((A double_divide B) double_divide C)
% Current number of equations to process: 815
% Current number of ordered equations: 854
% Current number of rules: 98
% New rule produced :
% [107]
% inverse(A double_divide B) double_divide C <->
% inverse(A double_divide C) double_divide B
% Current number of equations to process: 815
% Current number of ordered equations: 848
% Current number of rules: 99
% New rule produced :
% [108]
% a2 double_divide (inverse(B) double_divide A) <->
% (inverse(a2) double_divide A) double_divide B
% Current number of equations to process: 815
% Current number of ordered equations: 846
% Current number of rules: 100
% New rule produced :
% [109]
% (inverse(a2) double_divide A) double_divide B <->
% a2 double_divide (inverse(B) double_divide A)
% Current number of equations to process: 815
% Current number of ordered equations: 844
% Current number of rules: 101
% New rule produced :
% [110]
% (a2 double_divide inverse(B)) double_divide A <->
% (a2 double_divide inverse(A)) double_divide B
% Current number of equations to process: 815
% Current number of ordered equations: 842
% Current number of rules: 102
% New rule produced :
% [111]
% inverse(B) double_divide (a2 double_divide A) <->
% inverse(a2) double_divide (A double_divide B)
% Current number of equations to process: 815
% Current number of ordered equations: 840
% Current number of rules: 103
% New rule produced :
% [112]
% inverse(a2) double_divide (A double_divide B) <->
% inverse(B) double_divide (a2 double_divide A)
% Current number of equations to process: 815
% Current number of ordered equations: 838
% Current number of rules: 104
% New rule produced :
% [113]
% a2 double_divide (a2 multiply (a2 double_divide a2)) <->
% inverse(A) double_divide A
% Current number of equations to process: 815
% Current number of ordered equations: 837
% Current number of rules: 105
% New rule produced :
% [114]
% inverse(A) double_divide A <->
% a2 double_divide (a2 multiply (a2 double_divide a2))
% Current number of equations to process: 815
% Current number of ordered equations: 836
% Current number of rules: 106
% New rule produced :
% [115]
% (eq)(inverse(a2 double_divide (a2 double_divide a2)),a2 double_divide 
% (inverse(A) double_divide A))
% -> (true)
% Current number of equations to process: 814
% Current number of ordered equations: 836
% Current number of rules: 107
% New rule produced :
% [116]
% inverse(a2) double_divide B <->
% ((a2 double_divide A) multiply B) double_divide A
% Current number of equations to process: 814
% Current number of ordered equations: 835
% Current number of rules: 108
% New rule produced :
% [117]
% ((a2 double_divide A) multiply B) double_divide A <->
% inverse(a2) double_divide B
% Current number of equations to process: 814
% Current number of ordered equations: 834
% Current number of rules: 109
% New rule produced :
% [118]
% (eq)(inverse((a2 double_divide A) double_divide B),(inverse(a2) double_divide B) double_divide A)
% -> (true)
% Current number of equations to process: 813
% Current number of ordered equations: 834
% Current number of rules: 110
% New rule produced :
% [119]
% inverse((A double_divide B) double_divide A) <->
% (inverse(C) double_divide C) double_divide B
% Current number of equations to process: 813
% Current number of ordered equations: 831
% Current number of rules: 111
% New rule produced :
% [120]
% (inverse(C) double_divide C) double_divide B <->
% inverse((A double_divide B) double_divide A)
% Current number of equations to process: 813
% Current number of ordered equations: 828
% Current number of rules: 112
% New rule produced :
% [121]
% (inverse(A) double_divide B) double_divide C <->
% (inverse(C) double_divide B) double_divide A
% Rule
% [108]
% a2 double_divide (inverse(B) double_divide A) <->
% (inverse(a2) double_divide A) double_divide B collapsed.
% Rule
% [109]
% (inverse(a2) double_divide A) double_divide B <->
% a2 double_divide (inverse(B) double_divide A) collapsed.
% Rule
% [110]
% (a2 double_divide inverse(B)) double_divide A <->
% (a2 double_divide inverse(A)) double_divide B collapsed.
% Current number of equations to process: 813
% Current number of ordered equations: 824
% Current number of rules: 110
% New rule produced :
% [122]
% (inverse(C) double_divide C) double_divide A <->
% (inverse(A) double_divide B) double_divide B
% Current number of equations to process: 813
% Current number of ordered equations: 823
% Current number of rules: 111
% New rule produced :
% [123]
% (inverse(A) double_divide B) double_divide B <->
% (inverse(C) double_divide C) double_divide A
% Current number of equations to process: 813
% Current number of ordered equations: 822
% Current number of rules: 112
% New rule produced :
% [124]
% inverse((A double_divide B) double_divide A) <->
% (inverse(B) double_divide C) double_divide C
% Current number of equations to process: 813
% Current number of ordered equations: 820
% Current number of rules: 113
% New rule produced :
% [125]
% (inverse(B) double_divide C) double_divide C <->
% inverse((A double_divide B) double_divide A)
% Current number of equations to process: 813
% Current number of ordered equations: 818
% Current number of rules: 114
% New rule produced :
% [126]
% inverse(inverse(A double_divide B)) <->
% inverse(inverse(A)) double_divide inverse(inverse(B))
% Current number of equations to process: 813
% Current number of ordered equations: 817
% Current number of rules: 115
% New rule produced :
% [127]
% inverse(inverse(A)) double_divide inverse(inverse(B)) <->
% inverse(inverse(A double_divide B))
% Current number of equations to process: 813
% Current number of ordered equations: 816
% Current number of rules: 116
% New rule produced :
% [128]
% A <-> inverse(inverse(inverse(A) double_divide (inverse(B) double_divide B)))
% Current number of equations to process: 813
% Current number of ordered equations: 814
% Current number of rules: 117
% New rule produced :
% [129]
% A <-> inverse(inverse(inverse(A)) double_divide (inverse(B) double_divide B))
% Current number of equations to process: 813
% Current number of ordered equations: 812
% Current number of rules: 118
% New rule produced :
% [130]
% inverse(inverse(inverse(A) double_divide (inverse(B) double_divide B))) <-> A
% Current number of equations to process: 813
% Current number of ordered equations: 810
% Current number of rules: 119
% New rule produced :
% [131]
% inverse(inverse(inverse(A)) double_divide (inverse(B) double_divide B)) <-> A
% Current number of equations to process: 813
% Current number of ordered equations: 808
% Current number of rules: 120
% New rule produced :
% [132]
% A <-> inverse(inverse(inverse(A))) double_divide (inverse(B) double_divide B)
% Current number of equations to process: 813
% Current number of ordered equations: 806
% Current number of rules: 121
% New rule produced :
% [133]
% inverse(inverse(inverse(A))) double_divide (inverse(B) double_divide B) <-> A
% Current number of equations to process: 813
% Current number of ordered equations: 804
% Current number of rules: 122
% New rule produced :
% [134]
% B <-> inverse(inverse(inverse((inverse(A) double_divide A) double_divide B)))
% Current number of equations to process: 813
% Current number of ordered equations: 803
% Current number of rules: 123
% New rule produced :
% [135]
% B <-> inverse((inverse(inverse(inverse(A))) double_divide A) double_divide B)
% Current number of equations to process: 813
% Current number of ordered equations: 802
% Current number of rules: 124
% New rule produced :
% [136]
% B <-> inverse(inverse(inverse(inverse(A) double_divide A)) double_divide B)
% Current number of equations to process: 813
% Current number of ordered equations: 800
% Current number of rules: 125
% New rule produced :
% [137]
% inverse(inverse(inverse((inverse(A) double_divide A) double_divide B))) <-> B
% Current number of equations to process: 813
% Current number of ordered equations: 799
% Current number of rules: 126
% New rule produced :
% [138]
% inverse((inverse(inverse(inverse(A))) double_divide A) double_divide B) <-> B
% Current number of equations to process: 813
% Current number of ordered equations: 798
% Current number of rules: 127
% New rule produced :
% [139]
% inverse(inverse(inverse(inverse(A) double_divide A)) double_divide B) <-> B
% Current number of equations to process: 813
% Current number of ordered equations: 796
% Current number of rules: 128
% New rule produced :
% [140]
% A <-> inverse(A) double_divide (inverse(inverse(inverse(B))) double_divide B)
% Current number of equations to process: 813
% Current number of ordered equations: 795
% Current number of rules: 129
% New rule produced :
% [141]
% B <-> inverse(inverse(inverse(A) double_divide A)) double_divide inverse(B)
% Current number of equations to process: 813
% Current number of ordered equations: 794
% Current number of rules: 130
% New rule produced :
% [142]
% inverse(A) double_divide (inverse(inverse(inverse(B))) double_divide B) <-> A
% Current number of equations to process: 813
% Current number of ordered equations: 793
% Current number of rules: 131
% New rule produced :
% [143]
% inverse(inverse(inverse(A) double_divide A)) double_divide inverse(B) <-> B
% Current number of equations to process: 813
% Current number of ordered equations: 792
% Current number of rules: 132
% New rule produced :
% [144]
% A double_divide B <->
% (A multiply B) double_divide (inverse(C) double_divide C)
% Current number of equations to process: 813
% Current number of ordered equations: 790
% Current number of rules: 133
% New rule produced :
% [145]
% (A multiply B) double_divide (inverse(C) double_divide C) <->
% A double_divide B
% Current number of equations to process: 813
% Current number of ordered equations: 788
% Current number of rules: 134
% New rule produced :
% [146]
% a2 <->
% inverse(inverse(inverse(A)) double_divide (inverse(a2) double_divide A))
% Current number of equations to process: 813
% Current number of ordered equations: 787
% Current number of rules: 135
% New rule produced :
% [147]
% a2 <->
% inverse(inverse(A) double_divide (inverse(a2) double_divide inverse(A)))
% Current number of equations to process: 813
% Current number of ordered equations: 786
% Current number of rules: 136
% New rule produced :
% [148]
% inverse(inverse(inverse(A)) double_divide (inverse(a2) double_divide A)) <->
% a2
% Current number of equations to process: 813
% Current number of ordered equations: 785
% Current number of rules: 137
% New rule produced :
% [149]
% inverse(inverse(A) double_divide (inverse(a2) double_divide inverse(A))) <->
% a2
% Current number of equations to process: 813
% Current number of ordered equations: 784
% Current number of rules: 138
% New rule produced :
% [150]
% A <->
% inverse(inverse(a2) double_divide (inverse(a2) double_divide inverse(A)))
% Current number of equations to process: 813
% Current number of ordered equations: 783
% Current number of rules: 139
% New rule produced :
% [151]
% inverse(inverse(a2) double_divide (inverse(a2) double_divide inverse(A))) <->
% A
% Current number of equations to process: 813
% Current number of ordered equations: 782
% Current number of rules: 140
% New rule produced :
% [152]
% A <->
% inverse(a2) double_divide (inverse(a2) double_divide inverse(inverse(A)))
% Current number of equations to process: 813
% Current number of ordered equations: 781
% Current number of rules: 141
% New rule produced :
% [153]
% inverse(a2) double_divide (inverse(a2) double_divide inverse(inverse(A))) <->
% A
% Current number of equations to process: 813
% Current number of ordered equations: 780
% Current number of rules: 142
% New rule produced :
% [154]
% (a2 double_divide A) double_divide A <->
% inverse(a2) double_divide (inverse(B) double_divide B)
% Current number of equations to process: 813
% Current number of ordered equations: 778
% Current number of rules: 143
% New rule produced :
% [155]
% inverse(a2) double_divide (inverse(B) double_divide B) <->
% (a2 double_divide A) double_divide A
% Current number of equations to process: 813
% Current number of ordered equations: 776
% Current number of rules: 144
% New rule produced :
% [156]
% inverse(((A multiply B) double_divide C) double_divide A) <->
% B double_divide C
% Current number of equations to process: 813
% Current number of ordered equations: 774
% Current number of rules: 145
% New rule produced :
% [157]
% (inverse(A double_divide B) double_divide C) multiply A <-> B double_divide C
% Current number of equations to process: 813
% Current number of ordered equations: 773
% Current number of rules: 146
% New rule produced :
% [158]
% B double_divide C <->
% inverse(((A multiply B) double_divide C) double_divide A)
% Current number of equations to process: 813
% Current number of ordered equations: 771
% Current number of rules: 147
% New rule produced :
% [159]
% B double_divide C <-> (inverse(A double_divide B) double_divide C) multiply A
% Current number of equations to process: 813
% Current number of ordered equations: 770
% Current number of rules: 148
% New rule produced :
% [160]
% inverse(a2 double_divide (inverse(A) double_divide A)) <->
% a2 double_divide (a2 double_divide a2)
% Current number of equations to process: 813
% Current number of ordered equations: 769
% Current number of rules: 149
% New rule produced :
% [161]
% a2 double_divide (a2 double_divide a2) <->
% inverse(a2 double_divide (inverse(A) double_divide A))
% Current number of equations to process: 813
% Current number of ordered equations: 768
% Current number of rules: 150
% New rule produced :
% [162]
% inverse((inverse(a2) double_divide A) double_divide A) <->
% (a2 double_divide B) double_divide B
% Current number of equations to process: 813
% Current number of ordered equations: 767
% Current number of rules: 151
% New rule produced :
% [163]
% (a2 double_divide B) double_divide B <->
% inverse((inverse(a2) double_divide A) double_divide A)
% Current number of equations to process: 813
% Current number of ordered equations: 766
% Current number of rules: 152
% New rule produced :
% [164]
% inverse(inverse(A) double_divide A) <->
% a2 double_divide (a2 multiply (a2 double_divide a2))
% Current number of equations to process: 813
% Current number of ordered equations: 765
% Current number of rules: 153
% New rule produced :
% [165]
% a2 double_divide (a2 multiply (a2 double_divide a2)) <->
% inverse(inverse(A) double_divide A)
% Current number of equations to process: 813
% Current number of ordered equations: 764
% Current number of rules: 154
% New rule produced :
% [166]
% ((inverse(A) double_divide B) multiply C) double_divide B <->
% A double_divide C
% Current number of equations to process: 813
% Current number of ordered equations: 763
% Current number of rules: 155
% New rule produced :
% [167]
% A double_divide C <->
% ((inverse(A) double_divide B) multiply C) double_divide B
% Current number of equations to process: 813
% Current number of ordered equations: 762
% Current number of rules: 156
% New rule produced :
% [168]
% (eq)(inverse((inverse(A) double_divide B) double_divide C),(A double_divide C) double_divide B)
% -> (true)
% Current number of equations to process: 812
% Current number of ordered equations: 762
% Current number of rules: 157
% New rule produced :
% [169]
% inverse(inverse(A double_divide B) double_divide C) <->
% inverse(B double_divide C) multiply A
% Current number of equations to process: 813
% Current number of ordered equations: 760
% Current number of rules: 158
% New rule produced :
% [170]
% inverse(B double_divide C) multiply A <->
% inverse(inverse(A double_divide B) double_divide C)
% Current number of equations to process: 813
% Current number of ordered equations: 758
% Current number of rules: 159
% New rule produced :
% [171]
% (eq)(inverse(A double_divide B),(inverse(B double_divide C) double_divide A) double_divide C)
% -> (true)
% Current number of equations to process: 812
% Current number of ordered equations: 758
% Current number of rules: 160
% New rule produced :
% [172]
% inverse(A double_divide C) double_divide B <->
% (inverse(A) double_divide inverse(B)) double_divide C
% Current number of equations to process: 812
% Current number of ordered equations: 756
% Current number of rules: 161
% New rule produced :
% [173]
% inverse(B double_divide C) double_divide A <->
% (inverse(A) double_divide inverse(B)) double_divide C
% Current number of equations to process: 812
% Current number of ordered equations: 754
% Current number of rules: 162
% New rule produced :
% [174]
% (inverse(A) double_divide inverse(B)) double_divide C <->
% inverse(A double_divide C) double_divide B
% Current number of equations to process: 812
% Current number of ordered equations: 752
% Current number of rules: 163
% New rule produced :
% [175]
% (inverse(A) double_divide inverse(B)) double_divide C <->
% inverse(B double_divide C) double_divide A
% Current number of equations to process: 812
% Current number of ordered equations: 750
% Current number of rules: 164
% New rule produced :
% [176]
% inverse((A double_divide B) double_divide C) <->
% inverse(inverse(C) double_divide B) double_divide A
% Current number of equations to process: 812
% Current number of ordered equations: 749
% Current number of rules: 165
% New rule produced :
% [177]
% inverse(inverse(C) double_divide B) double_divide A <->
% inverse((A double_divide B) double_divide C)
% Current number of equations to process: 812
% Current number of ordered equations: 748
% Current number of rules: 166
% New rule produced :
% [178]
% inverse((A double_divide B) double_divide C) <->
% inverse(inverse(C) double_divide A) double_divide B
% Current number of equations to process: 811
% Current number of ordered equations: 747
% Current number of rules: 167
% New rule produced :
% [179]
% inverse(inverse(C) double_divide A) double_divide B <->
% inverse((A double_divide B) double_divide C)
% Current number of equations to process: 811
% Current number of ordered equations: 746
% Current number of rules: 168
% New rule produced :
% [180]
% inverse(a2 double_divide (A double_divide B)) <->
% inverse(A) multiply (inverse(a2) double_divide B)
% Current number of equations to process: 811
% Current number of ordered equations: 745
% Current number of rules: 169
% New rule produced :
% [181]
% inverse(A) multiply (inverse(a2) double_divide B) <->
% inverse(a2 double_divide (A double_divide B))
% Current number of equations to process: 811
% Current number of ordered equations: 744
% Current number of rules: 170
% New rule produced :
% [182]
% (eq)(inverse(a2) double_divide A,inverse(B) double_divide (a2 double_divide 
% (A double_divide B)))
% -> (true)
% Current number of equations to process: 810
% Current number of ordered equations: 744
% Current number of rules: 171
% New rule produced :
% [183]
% a2 double_divide (inverse(A) double_divide B) <->
% inverse(a2 double_divide A) double_divide inverse(B)
% Current number of equations to process: 810
% Current number of ordered equations: 743
% Current number of rules: 172
% New rule produced :
% [184]
% inverse(a2 double_divide A) double_divide inverse(B) <->
% a2 double_divide (inverse(A) double_divide B)
% Current number of equations to process: 810
% Current number of ordered equations: 742
% Current number of rules: 173
% New rule produced :
% [185]
% inverse((a2 double_divide A) double_divide B) <->
% inverse(a2) multiply (inverse(B) double_divide A)
% Current number of equations to process: 810
% Current number of ordered equations: 741
% Current number of rules: 174
% New rule produced :
% [186]
% inverse(a2) multiply (inverse(B) double_divide A) <->
% inverse((a2 double_divide A) double_divide B)
% Current number of equations to process: 810
% Current number of ordered equations: 740
% Current number of rules: 175
% New rule produced :
% [187]
% (eq)(inverse(A) double_divide B,inverse(a2) double_divide ((a2 double_divide B) double_divide A))
% -> (true)
% Current number of equations to process: 809
% Current number of ordered equations: 740
% Current number of rules: 176
% New rule produced :
% [188]
% (a2 double_divide inverse(B)) double_divide A <->
% inverse(a2) double_divide inverse(A double_divide B)
% Current number of equations to process: 809
% Current number of ordered equations: 739
% Current number of rules: 177
% New rule produced :
% [189]
% inverse(a2) double_divide inverse(A double_divide B) <->
% (a2 double_divide inverse(B)) double_divide A
% Current number of equations to process: 809
% Current number of ordered equations: 738
% Current number of rules: 178
% New rule produced :
% [190]
% inverse(a2) double_divide inverse(A double_divide B) <->
% (a2 double_divide inverse(A)) double_divide B
% Current number of equations to process: 809
% Current number of ordered equations: 737
% Current number of rules: 179
% New rule produced :
% [191]
% (a2 double_divide inverse(A)) double_divide B <->
% inverse(a2) double_divide inverse(A double_divide B)
% Current number of equations to process: 809
% Current number of ordered equations: 736
% Current number of rules: 180
% New rule produced :
% [192]
% inverse(A double_divide B) double_divide (a2 double_divide A) <->
% inverse(a2) double_divide B
% Current number of equations to process: 809
% Current number of ordered equations: 734
% Current number of rules: 181
% New rule produced :
% [193]
% inverse(a2) double_divide B <->
% inverse(A double_divide B) double_divide (a2 double_divide A)
% Current number of equations to process: 809
% Current number of ordered equations: 732
% Current number of rules: 182
% New rule produced :
% [194]
% a2 double_divide inverse(a2 double_divide (a2 double_divide a2)) <->
% inverse(A) multiply A
% Current number of equations to process: 809
% Current number of ordered equations: 731
% Current number of rules: 183
% New rule produced :
% [195]
% inverse(A) multiply A <->
% a2 double_divide inverse(a2 double_divide (a2 double_divide a2))
% Current number of equations to process: 809
% Current number of ordered equations: 730
% Current number of rules: 184
% New rule produced :
% [196]
% inverse(A double_divide B) <->
% (inverse(B double_divide C) double_divide A) double_divide C
% Current number of equations to process: 809
% Current number of ordered equations: 728
% Current number of rules: 185
% New rule produced :
% [197]
% (inverse(B double_divide C) double_divide A) double_divide C <->
% inverse(A double_divide B)
% Current number of equations to process: 809
% Current number of ordered equations: 726
% Current number of rules: 186
% New rule produced :
% [198]
% (eq)(inverse(a2 double_divide (a2 double_divide a2)),a2 double_divide 
% inverse(inverse(A) double_divide A))
% -> (true)
% Current number of equations to process: 808
% Current number of ordered equations: 726
% Current number of rules: 187
% New rule produced :
% [199]
% inverse(B) double_divide C <->
% inverse((A double_divide B) double_divide C) double_divide A
% Rule
% [23]
% inverse(a2) double_divide B <->
% inverse((a2 double_divide A) double_divide B) double_divide A collapsed.
% Current number of equations to process: 808
% Current number of ordered equations: 689
% Current number of rules: 187
% New rule produced :
% [200]
% inverse((A double_divide B) double_divide C) double_divide A <->
% inverse(B) double_divide C
% Rule
% [24]
% inverse((a2 double_divide A) double_divide B) double_divide A <->
% inverse(a2) double_divide B collapsed.
% Current number of equations to process: 808
% Current number of ordered equations: 646
% Current number of rules: 187
% New rule produced :
% [201]
% inverse(A double_divide B) <->
% (inverse(A) multiply (B double_divide C)) double_divide C
% Current number of equations to process: 808
% Current number of ordered equations: 645
% Current number of rules: 188
% New rule produced :
% [202]
% (inverse(A) multiply (B double_divide C)) double_divide C <->
% inverse(A double_divide B)
% Current number of equations to process: 808
% Current number of ordered equations: 644
% Current number of rules: 189
% New rule produced :
% [203]
% (eq)(inverse(inverse(A) double_divide (B double_divide C)),inverse(A double_divide C) double_divide B)
% -> (true)
% Current number of equations to process: 807
% Current number of ordered equations: 644
% Current number of rules: 190
% New rule produced :
% [204]
% inverse((inverse(A) double_divide A) double_divide B) <->
% inverse(B) double_divide (inverse(C) double_divide C)
% Current number of equations to process: 810
% Current number of ordered equations: 643
% Current number of rules: 191
% New rule produced :
% [205]
% inverse(B) double_divide (inverse(C) double_divide C) <->
% inverse((inverse(A) double_divide A) double_divide B)
% Current number of equations to process: 810
% Current number of ordered equations: 642
% Current number of rules: 192
% New rule produced :
% [206]
% C <->
% inverse(((A multiply B) double_divide (A double_divide B)) double_divide C)
% Current number of equations to process: 810
% Current number of ordered equations: 641
% Current number of rules: 193
% New rule produced :
% [207]
% inverse(((A multiply B) double_divide (A double_divide B)) double_divide C)
% <-> C
% Current number of equations to process: 810
% Current number of ordered equations: 640
% Current number of rules: 194
% New rule produced :
% [208]
% A <->
% inverse(A) double_divide ((B multiply C) double_divide (B double_divide C))
% Current number of equations to process: 810
% Current number of ordered equations: 639
% Current number of rules: 195
% New rule produced :
% [209]
% inverse(A) double_divide ((B multiply C) double_divide (B double_divide C))
% <-> A
% Current number of equations to process: 810
% Current number of ordered equations: 638
% Current number of rules: 196
% New rule produced :
% [210]
% inverse(B) double_divide (inverse(a2) double_divide A) <->
% inverse(A) double_divide (inverse(a2) double_divide B)
% Current number of equations to process: 810
% Current number of ordered equations: 636
% Current number of rules: 197
% New rule produced :
% [211]
% inverse(inverse(a2 double_divide (A double_divide B))) <->
% inverse(A) double_divide (inverse(a2) double_divide B)
% Current number of equations to process: 810
% Current number of ordered equations: 635
% Current number of rules: 198
% New rule produced :
% [212]
% a2 double_divide inverse(inverse(A double_divide B)) <->
% inverse(A) double_divide (inverse(a2) double_divide B)
% Current number of equations to process: 810
% Current number of ordered equations: 634
% Current number of rules: 199
% New rule produced :
% [213]
% inverse(A) double_divide (inverse(a2) double_divide B) <->
% inverse(inverse(a2 double_divide (A double_divide B)))
% Current number of equations to process: 810
% Current number of ordered equations: 633
% Current number of rules: 200
% New rule produced :
% [214]
% inverse(A) double_divide (inverse(a2) double_divide B) <->
% a2 double_divide inverse(inverse(A double_divide B))
% Current number of equations to process: 810
% Current number of ordered equations: 632
% Current number of rules: 201
% New rule produced :
% [215]
% inverse(A) double_divide (inverse(a2) double_divide B) <->
% inverse(inverse(a2)) double_divide (A double_divide B)
% Current number of equations to process: 810
% Current number of ordered equations: 631
% Current number of rules: 202
% New rule produced :
% [216]
% inverse(inverse(a2)) double_divide (A double_divide B) <->
% inverse(A) double_divide (inverse(a2) double_divide B)
% Current number of equations to process: 810
% Current number of ordered equations: 630
% Current number of rules: 203
% New rule produced :
% [217]
% inverse(inverse(A) double_divide (inverse(a2) double_divide B)) <->
% a2 multiply (A double_divide B)
% Current number of equations to process: 810
% Current number of ordered equations: 629
% Current number of rules: 204
% New rule produced :
% [218]
% a2 multiply (A double_divide B) <->
% inverse(inverse(A) double_divide (inverse(a2) double_divide B))
% Current number of equations to process: 810
% Current number of ordered equations: 628
% Current number of rules: 205
% New rule produced :
% [219]
% (eq)(A double_divide B,a2 double_divide (inverse(A) double_divide (inverse(a2) double_divide B)))
% -> (true)
% Current number of equations to process: 809
% Current number of ordered equations: 628
% Current number of rules: 206
% New rule produced :
% [220]
% inverse(inverse((a2 double_divide A) double_divide B)) <->
% inverse(a2) double_divide (inverse(B) double_divide A)
% Current number of equations to process: 809
% Current number of ordered equations: 627
% Current number of rules: 207
% New rule produced :
% [221]
% inverse(a2) double_divide (inverse(B) double_divide A) <->
% inverse(inverse((a2 double_divide A) double_divide B))
% Current number of equations to process: 809
% Current number of ordered equations: 626
% Current number of rules: 208
% New rule produced :
% [222]
% inverse(a2) double_divide (inverse(B) double_divide A) <->
% inverse(inverse(a2 double_divide A)) double_divide B
% Current number of equations to process: 809
% Current number of ordered equations: 625
% Current number of rules: 209
% New rule produced :
% [223]
% inverse(inverse(a2 double_divide A)) double_divide B <->
% inverse(a2) double_divide (inverse(B) double_divide A)
% Current number of equations to process: 809
% Current number of ordered equations: 624
% Current number of rules: 210
% New rule produced :
% [224]
% inverse(inverse(a2) double_divide (inverse(A) double_divide B)) <->
% (a2 double_divide B) multiply A
% Current number of equations to process: 809
% Current number of ordered equations: 623
% Current number of rules: 211
% New rule produced :
% [225]
% (a2 double_divide B) multiply A <->
% inverse(inverse(a2) double_divide (inverse(A) double_divide B))
% Current number of equations to process: 809
% Current number of ordered equations: 622
% Current number of rules: 212
% New rule produced :
% [226]
% (eq)(a2 double_divide A,(inverse(a2) double_divide (inverse(B) double_divide A)) double_divide B)
% -> (true)
% Current number of equations to process: 808
% Current number of ordered equations: 622
% Current number of rules: 213
% New rule produced :
% [227]
% inverse(inverse(A) double_divide A) <->
% a2 multiply inverse(a2 double_divide (a2 double_divide a2))
% Current number of equations to process: 808
% Current number of ordered equations: 621
% Current number of rules: 214
% New rule produced :
% [228]
% a2 multiply inverse(a2 double_divide (a2 double_divide a2)) <->
% inverse(inverse(A) double_divide A)
% Current number of equations to process: 808
% Current number of ordered equations: 620
% Current number of rules: 215
% New rule produced :
% [229]
% inverse((inverse(A double_divide B) double_divide C) double_divide A) <->
% B double_divide C
% Current number of equations to process: 808
% Current number of ordered equations: 617
% Current number of rules: 216
% New rule produced :
% [230]
% B double_divide C <->
% inverse((inverse(A double_divide B) double_divide C) double_divide A)
% Current number of equations to process: 808
% Current number of ordered equations: 614
% Current number of rules: 217
% New rule produced :
% [231]
% inverse((inverse(A double_divide B) double_divide C) double_divide C) <->
% A double_divide B
% Current number of equations to process: 808
% Current number of ordered equations: 612
% Current number of rules: 218
% New rule produced :
% [232]
% A double_divide B <->
% inverse((inverse(A double_divide B) double_divide C) double_divide C)
% Current number of equations to process: 808
% Current number of ordered equations: 610
% Current number of rules: 219
% New rule produced :
% [233]
% inverse(a2 double_divide inverse(inverse(A) double_divide A)) <->
% a2 double_divide (a2 double_divide a2)
% Current number of equations to process: 808
% Current number of ordered equations: 609
% Current number of rules: 220
% New rule produced :
% [234]
% a2 double_divide (a2 double_divide a2) <->
% inverse(a2 double_divide inverse(inverse(A) double_divide A))
% Current number of equations to process: 808
% Current number of ordered equations: 608
% Current number of rules: 221
% New rule produced :
% [235]
% inverse((inverse(A) double_divide B) double_divide B) double_divide C <->
% A double_divide C
% Current number of equations to process: 808
% Current number of ordered equations: 607
% Current number of rules: 222
% New rule produced :
% [236]
% B double_divide C <->
% inverse(A double_divide B) double_divide (inverse(C) double_divide A)
% Current number of equations to process: 808
% Current number of ordered equations: 605
% Current number of rules: 223
% New rule produced :
% [237]
% A double_divide C <->
% inverse((inverse(A) double_divide B) double_divide B) double_divide C
% Current number of equations to process: 808
% Current number of ordered equations: 604
% Current number of rules: 224
% New rule produced :
% [238]
% inverse(A double_divide B) double_divide (inverse(C) double_divide A) <->
% B double_divide C
% Current number of equations to process: 808
% Current number of ordered equations: 602
% Current number of rules: 225
% New rule produced :
% [239]
% inverse((inverse(A) double_divide B) double_divide (A double_divide C)) <->
% B double_divide C
% Current number of equations to process: 808
% Current number of ordered equations: 601
% Current number of rules: 226
% New rule produced :
% [240]
% B double_divide C <->
% inverse((inverse(A) double_divide B) double_divide (A double_divide C))
% Current number of equations to process: 808
% Current number of ordered equations: 600
% Current number of rules: 227
% New rule produced :
% [241]
% A multiply B <->
% inverse(inverse(A) double_divide (B double_divide C)) double_divide C
% Current number of equations to process: 808
% Current number of ordered equations: 599
% Current number of rules: 228
% New rule produced :
% [242]
% A multiply B <->
% inverse(inverse(B) double_divide (A double_divide C)) double_divide C
% Current number of equations to process: 808
% Current number of ordered equations: 598
% Current number of rules: 229
% New rule produced :
% [243]
% inverse(inverse(A) double_divide (B double_divide C)) double_divide C <->
% A multiply B
% Current number of equations to process: 808
% Current number of ordered equations: 597
% Current number of rules: 230
% New rule produced :
% [244]
% inverse(inverse(B) double_divide (A double_divide C)) double_divide C <->
% A multiply B
% Current number of equations to process: 808
% Current number of ordered equations: 596
% Current number of rules: 231
% New rule produced :
% [245]
% inverse(inverse(C) double_divide A) <->
% inverse((A double_divide B) double_divide C) double_divide B
% Current number of equations to process: 808
% Current number of ordered equations: 593
% Current number of rules: 232
% New rule produced :
% [246]
% inverse((A double_divide B) double_divide C) double_divide B <->
% inverse(inverse(C) double_divide A)
% Current number of equations to process: 808
% Current number of ordered equations: 590
% Current number of rules: 233
% New rule produced :
% [247]
% inverse(inverse(A double_divide B) double_divide inverse(B)) <->
% (A double_divide C) double_divide C
% Current number of equations to process: 808
% Current number of ordered equations: 589
% Current number of rules: 234
% New rule produced :
% [248]
% inverse(inverse(inverse(C) double_divide B) double_divide C) <->
% (A double_divide B) double_divide A
% Current number of equations to process: 808
% Current number of ordered equations: 588
% Current number of rules: 235
% New rule produced :
% [249]
% (A double_divide B) double_divide A <->
% inverse(inverse(inverse(C) double_divide B) double_divide C)
% Current number of equations to process: 808
% Current number of ordered equations: 587
% Current number of rules: 236
% New rule produced :
% [250]
% (A double_divide C) double_divide C <->
% inverse(inverse(A double_divide B) double_divide inverse(B))
% Current number of equations to process: 808
% Current number of ordered equations: 586
% Current number of rules: 237
% New rule produced :
% [251]
% inverse((B double_divide C) double_divide A) <->
% inverse(A) double_divide (inverse(B) double_divide inverse(C))
% Current number of equations to process: 817
% Current number of ordered equations: 585
% Current number of rules: 238
% New rule produced :
% [252]
% inverse(A) double_divide (inverse(B) double_divide inverse(C)) <->
% inverse((B double_divide C) double_divide A)
% Current number of equations to process: 817
% Current number of ordered equations: 584
% Current number of rules: 239
% New rule produced :
% [253]
% inverse(A double_divide B) <->
% inverse(A multiply B) double_divide (inverse(C) double_divide C)
% Current number of equations to process: 817
% Current number of ordered equations: 583
% Current number of rules: 240
% New rule produced :
% [254]
% inverse(A multiply B) double_divide (inverse(C) double_divide C) <->
% inverse(A double_divide B)
% Current number of equations to process: 817
% Current number of ordered equations: 582
% Current number of rules: 241
% New rule produced :
% [255]
% inverse(((inverse(C) double_divide C) double_divide B) double_divide A) <->
% inverse(A) double_divide B
% Current number of equations to process: 817
% Current number of ordered equations: 581
% Current number of rules: 242
% New rule produced :
% [256]
% inverse(A) double_divide B <->
% inverse(((inverse(C) double_divide C) double_divide B) double_divide A)
% Current number of equations to process: 817
% Current number of ordered equations: 580
% Current number of rules: 243
% New rule produced :
% [257]
% inverse(inverse(inverse(A double_divide B) double_divide C)) <->
% inverse(B double_divide C) double_divide A
% Current number of equations to process: 817
% Current number of ordered equations: 579
% Current number of rules: 244
% New rule produced :
% [258]
% inverse(B double_divide C) double_divide A <->
% inverse(inverse(inverse(A double_divide B) double_divide C))
% Current number of equations to process: 817
% Current number of ordered equations: 578
% Current number of rules: 245
% New rule produced :
% [259]
% inverse(B double_divide C) double_divide A <->
% inverse(inverse(inverse(A double_divide B))) double_divide C
% Current number of equations to process: 817
% Current number of ordered equations: 577
% Current number of rules: 246
% New rule produced :
% [260]
% inverse(inverse(inverse(A double_divide B))) double_divide C <->
% inverse(B double_divide C) double_divide A
% Current number of equations to process: 817
% Current number of ordered equations: 576
% Current number of rules: 247
% New rule produced :
% [261]
% inverse(inverse(inverse(A double_divide B) double_divide C)) <->
% inverse(A double_divide C) double_divide B
% Current number of equations to process: 817
% Current number of ordered equations: 575
% Current number of rules: 248
% New rule produced :
% [262]
% inverse(A double_divide C) double_divide B <->
% inverse(inverse(inverse(A double_divide B) double_divide C))
% Current number of equations to process: 817
% Current number of ordered equations: 574
% Current number of rules: 249
% New rule produced :
% [263]
% inverse(A double_divide C) double_divide B <->
% inverse(inverse(inverse(A double_divide B))) double_divide C
% Current number of equations to process: 817
% Current number of ordered equations: 573
% Current number of rules: 250
% New rule produced :
% [264]
% inverse(inverse(inverse(A double_divide B))) double_divide C <->
% inverse(A double_divide C) double_divide B
% Current number of equations to process: 817
% Current number of ordered equations: 572
% Current number of rules: 251
% New rule produced :
% [265]
% (eq)(inverse(A),(a2 double_divide (A double_divide B)) double_divide 
% (inverse(a2) double_divide B)) -> (true)
% Current number of equations to process: 816
% Current number of ordered equations: 572
% Current number of rules: 252
% New rule produced :
% [266]
% (eq)(inverse(a2),(inverse(A) double_divide B) double_divide ((a2 double_divide B) double_divide A))
% -> (true)
% Current number of equations to process: 815
% Current number of ordered equations: 572
% Current number of rules: 253
% New rule produced :
% [267]
% a2 double_divide (inverse(a2) double_divide inverse(a2 double_divide a2)) <->
% inverse(A) double_divide A
% Current number of equations to process: 815
% Current number of ordered equations: 571
% Current number of rules: 254
% New rule produced :
% [268]
% inverse(A) double_divide A <->
% a2 double_divide (inverse(a2) double_divide inverse(a2 double_divide a2))
% Current number of equations to process: 815
% Current number of ordered equations: 570
% Current number of rules: 255
% New rule produced :
% [269]
% inverse(inverse(inverse(A) double_divide A)) <->
% a2 double_divide inverse(a2 double_divide (a2 double_divide a2))
% Current number of equations to process: 815
% Current number of ordered equations: 568
% Current number of rules: 256
% New rule produced :
% [270]
% a2 double_divide inverse(a2 double_divide (a2 double_divide a2)) <->
% inverse(inverse(inverse(A) double_divide A))
% Current number of equations to process: 815
% Current number of ordered equations: 566
% Current number of rules: 257
% New rule produced :
% [271]
% a2 double_divide inverse(a2 double_divide (a2 double_divide a2)) <->
% inverse(inverse(inverse(A))) double_divide A
% Current number of equations to process: 815
% Current number of ordered equations: 565
% Current number of rules: 258
% New rule produced :
% [272]
% inverse(inverse(inverse(A))) double_divide A <->
% a2 double_divide inverse(a2 double_divide (a2 double_divide a2))
% Current number of equations to process: 815
% Current number of ordered equations: 564
% Current number of rules: 259
% New rule produced :
% [273]
% inverse(a2 double_divide inverse(a2 double_divide (a2 double_divide a2))) <->
% inverse(A) multiply A
% Current number of equations to process: 815
% Current number of ordered equations: 563
% Current number of rules: 260
% New rule produced :
% [274]
% inverse(A) multiply A <->
% inverse(a2 double_divide inverse(a2 double_divide (a2 double_divide a2)))
% Current number of equations to process: 815
% Current number of ordered equations: 562
% Current number of rules: 261
% New rule produced :
% [275]
% (eq)(inverse(A),(a2 double_divide inverse(a2 double_divide (a2 double_divide a2))) double_divide A)
% -> (true)
% Current number of equations to process: 814
% Current number of ordered equations: 562
% Current number of rules: 262
% New rule produced :
% [276]
% (eq)(inverse(a2),(inverse((a2 double_divide A) double_divide B) double_divide A) double_divide B)
% -> (true)
% Current number of equations to process: 813
% Current number of ordered equations: 562
% Current number of rules: 263
% New rule produced :
% [277]
% inverse(a2 double_divide inverse(a2 double_divide (a2 double_divide a2))) <->
% inverse(A) double_divide A
% Current number of equations to process: 813
% Current number of ordered equations: 559
% Current number of rules: 264
% New rule produced :
% [278]
% inverse(A) double_divide A <->
% inverse(a2 double_divide inverse(a2 double_divide (a2 double_divide a2)))
% Current number of equations to process: 813
% Current number of ordered equations: 556
% Current number of rules: 265
% New rule produced :
% [279]
% inverse(inverse((A double_divide B) double_divide C) double_divide A) <->
% inverse(C) double_divide B
% Current number of equations to process: 813
% Current number of ordered equations: 555
% Current number of rules: 266
% New rule produced :
% [280]
% inverse(C) double_divide B <->
% inverse(inverse((A double_divide B) double_divide C) double_divide A)
% Current number of equations to process: 813
% Current number of ordered equations: 554
% Current number of rules: 267
% New rule produced :
% [281]
% inverse(inverse(inverse(A) double_divide A)) <->
% a2 multiply inverse(a2 double_divide (a2 double_divide a2))
% Current number of equations to process: 813
% Current number of ordered equations: 553
% Current number of rules: 268
% New rule produced :
% [282]
% a2 multiply inverse(a2 double_divide (a2 double_divide a2)) <->
% inverse(inverse(inverse(A) double_divide A))
% Current number of equations to process: 813
% Current number of ordered equations: 552
% Current number of rules: 269
% New rule produced :
% [283]
% inverse(A double_divide B) <->
% inverse((inverse(B) double_divide C) double_divide A) multiply C
% Current number of equations to process: 813
% Current number of ordered equations: 551
% Current number of rules: 270
% New rule produced :
% [284]
% inverse((inverse(B) double_divide C) double_divide A) multiply C <->
% inverse(A double_divide B)
% Current number of equations to process: 813
% Current number of ordered equations: 550
% Current number of rules: 271
% New rule produced :
% [285]
% inverse(A double_divide C) <->
% inverse(A) double_divide ((inverse(B) double_divide B) double_divide C)
% Current number of equations to process: 813
% Current number of ordered equations: 549
% Current number of rules: 272
% New rule produced :
% [286]
% inverse(A) double_divide ((inverse(B) double_divide B) double_divide C) <->
% inverse(A double_divide C)
% Current number of equations to process: 813
% Current number of ordered equations: 548
% Current number of rules: 273
% New rule produced :
% [287]
% inverse(A double_divide C) <->
% inverse((A double_divide B) double_divide B) double_divide inverse(C)
% Current number of equations to process: 813
% Current number of ordered equations: 546
% Current number of rules: 274
% New rule produced :
% [288]
% inverse((A double_divide B) double_divide B) double_divide inverse(C) <->
% inverse(A double_divide C)
% Current number of equations to process: 813
% Current number of ordered equations: 544
% Current number of rules: 275
% New rule produced :
% [289]
% inverse(A double_divide C) <->
% inverse(inverse(A) double_divide B) double_divide (B double_divide C)
% Current number of equations to process: 813
% Current number of ordered equations: 542
% Current number of rules: 276
% New rule produced :
% [290]
% inverse(inverse(A) double_divide B) double_divide (B double_divide C) <->
% inverse(A double_divide C)
% Current number of equations to process: 813
% Current number of ordered equations: 540
% Current number of rules: 277
% New rule produced :
% [291]
% inverse(A double_divide B) <->
% inverse(a2) double_divide inverse(a2 double_divide (A double_divide B))
% Current number of equations to process: 813
% Current number of ordered equations: 539
% Current number of rules: 278
% New rule produced :
% [292]
% inverse(a2) double_divide inverse(a2 double_divide (A double_divide B)) <->
% inverse(A double_divide B)
% Current number of equations to process: 813
% Current number of ordered equations: 538
% Current number of rules: 279
% New rule produced :
% [293]
% inverse(a2 double_divide A) <->
% inverse((a2 double_divide A) double_divide B) double_divide inverse(B)
% Current number of equations to process: 813
% Current number of ordered equations: 537
% Current number of rules: 280
% New rule produced :
% [294]
% inverse((a2 double_divide A) double_divide B) double_divide inverse(B) <->
% inverse(a2 double_divide A)
% Current number of equations to process: 813
% Current number of ordered equations: 536
% Current number of rules: 281
% New rule produced :
% [295]
% inverse(inverse(A double_divide B) double_divide (A double_divide C)) <->
% inverse(B) double_divide C
% Current number of equations to process: 813
% Current number of ordered equations: 534
% Current number of rules: 282
% New rule produced :
% [296]
% inverse(B) double_divide C <->
% inverse(inverse(A double_divide B) double_divide (A double_divide C))
% Current number of equations to process: 813
% Current number of ordered equations: 532
% Current number of rules: 283
% New rule produced :
% [297]
% inverse(inverse(A double_divide B) double_divide (inverse(C) double_divide C))
% <-> A multiply B
% Current number of equations to process: 817
% Current number of ordered equations: 530
% Current number of rules: 284
% New rule produced :
% [298]
% inverse(inverse((inverse(A) double_divide A) double_divide (B double_divide C)))
% <-> B multiply C
% Current number of equations to process: 817
% Current number of ordered equations: 529
% Current number of rules: 285
% New rule produced :
% [299]
% B multiply C <->
% inverse(inverse((inverse(A) double_divide A) double_divide (B double_divide C)))
% Current number of equations to process: 817
% Current number of ordered equations: 528
% Current number of rules: 286
% New rule produced :
% [300]
% A multiply B <->
% inverse(inverse(A double_divide B) double_divide (inverse(C) double_divide C))
% Current number of equations to process: 817
% Current number of ordered equations: 526
% Current number of rules: 287
% New rule produced :
% [301]
% (eq)(A,inverse((inverse(B) double_divide B) double_divide ((A double_divide C) double_divide C)))
% -> (true)
% Current number of equations to process: 815
% Current number of ordered equations: 527
% Current number of rules: 288
% New rule produced :
% [302]
% (eq)(A,inverse((inverse(B) double_divide B) double_divide (A double_divide C)) double_divide C)
% -> (true)
% Current number of equations to process: 815
% Current number of ordered equations: 526
% Current number of rules: 289
% New rule produced :
% [303]
% A multiply B <->
% inverse(inverse(A double_divide B)) double_divide (inverse(C) double_divide C)
% Current number of equations to process: 815
% Current number of ordered equations: 525
% Current number of rules: 290
% New rule produced :
% [304]
% inverse(inverse(A double_divide B)) double_divide (inverse(C) double_divide C)
% <-> A multiply B
% Current number of equations to process: 815
% Current number of ordered equations: 524
% Current number of rules: 291
% New rule produced :
% [305]
% (eq)(A,(inverse(A double_divide B) double_divide (inverse(C) double_divide C)) double_divide B)
% -> (true)
% Current number of equations to process: 813
% Current number of ordered equations: 525
% Current number of rules: 292
% New rule produced :
% [306]
% (eq)(A,inverse((A double_divide B) double_divide B) double_divide (inverse(C) double_divide C))
% -> (true)
% Current number of equations to process: 813
% Current number of ordered equations: 524
% Current number of rules: 293
% New rule produced :
% [307]
% C <->
% inverse((((inverse(A) double_divide A) double_divide B) double_divide B) double_divide C)
% Current number of equations to process: 813
% Current number of ordered equations: 523
% Current number of rules: 294
% New rule produced :
% [308]
% inverse((((inverse(A) double_divide A) double_divide B) double_divide B) double_divide C)
% <-> C
% Current number of equations to process: 813
% Current number of ordered equations: 522
% Current number of rules: 295
% New rule produced :
% [309]
% A double_divide B <->
% (inverse(A) double_divide inverse(B)) double_divide (inverse(C) double_divide C)
% Current number of equations to process: 813
% Current number of ordered equations: 520
% Current number of rules: 296
% New rule produced :
% [310]
% (inverse(A) double_divide inverse(B)) double_divide (inverse(C) double_divide C)
% <-> A double_divide B
% Current number of equations to process: 813
% Current number of ordered equations: 518
% Current number of rules: 297
% New rule produced :
% [311]
% A <->
% inverse(A) double_divide (((inverse(B) double_divide B) double_divide C) double_divide C)
% Current number of equations to process: 813
% Current number of ordered equations: 517
% Current number of rules: 298
% New rule produced :
% [312]
% inverse(A) double_divide (((inverse(B) double_divide B) double_divide C) double_divide C)
% <-> A
% Current number of equations to process: 813
% Current number of ordered equations: 516
% Current number of rules: 299
% New rule produced :
% [313]
% (eq)(A,inverse(B double_divide C) double_divide (inverse(A double_divide C) double_divide B))
% -> (true)
% Current number of equations to process: 811
% Current number of ordered equations: 517
% Current number of rules: 300
% New rule produced :
% [314]
% (eq)(A,inverse((inverse(B double_divide C) double_divide A) double_divide C) double_divide B)
% -> (true)
% Current number of equations to process: 811
% Current number of ordered equations: 516
% Current number of rules: 301
% New rule produced :
% [315]
% inverse(inverse(A double_divide B) double_divide C) <->
% inverse(inverse(B double_divide C)) double_divide inverse(A)
% Current number of equations to process: 811
% Current number of ordered equations: 514
% Current number of rules: 302
% New rule produced :
% [316]
% inverse(inverse(B double_divide C)) double_divide inverse(A) <->
% inverse(inverse(A double_divide B) double_divide C)
% Current number of equations to process: 811
% Current number of ordered equations: 512
% Current number of rules: 303
% New rule produced :
% [317]
% inverse(inverse(B) double_divide C) double_divide inverse(A) <->
% inverse(inverse(A double_divide B)) double_divide C
% Current number of equations to process: 811
% Current number of ordered equations: 510
% Current number of rules: 304
% New rule produced :
% [318]
% inverse(inverse(A double_divide B)) double_divide C <->
% inverse(inverse(B) double_divide C) double_divide inverse(A)
% Current number of equations to process: 811
% Current number of ordered equations: 508
% Current number of rules: 305
% New rule produced :
% [319]
% inverse(inverse(A double_divide B)) double_divide C <->
% inverse(inverse(A) double_divide C) double_divide inverse(B)
% Current number of equations to process: 811
% Current number of ordered equations: 506
% Current number of rules: 306
% New rule produced :
% [320]
% inverse(inverse(A) double_divide C) double_divide inverse(B) <->
% inverse(inverse(A double_divide B)) double_divide C
% Current number of equations to process: 811
% Current number of ordered equations: 504
% Current number of rules: 307
% New rule produced :
% [321]
% C <->
% inverse((inverse((A double_divide B) double_divide B) double_divide A) double_divide C)
% Current number of equations to process: 811
% Current number of ordered equations: 500
% Current number of rules: 308
% New rule produced :
% [322]
% inverse((inverse((A double_divide B) double_divide B) double_divide A) double_divide C)
% <-> C
% Current number of equations to process: 811
% Current number of ordered equations: 496
% Current number of rules: 309
% New rule produced :
% [323]
% A <->
% inverse(A) double_divide (inverse((B double_divide C) double_divide C) double_divide B)
% Current number of equations to process: 811
% Current number of ordered equations: 492
% Current number of rules: 310
% New rule produced :
% [324]
% inverse(A) double_divide (inverse((B double_divide C) double_divide C) double_divide B)
% <-> A
% Current number of equations to process: 811
% Current number of ordered equations: 488
% Current number of rules: 311
% New rule produced :
% [325]
% (eq)(a2,(inverse(A) double_divide (inverse(a2) double_divide B)) double_divide 
% (A double_divide B)) -> (true)
% Current number of equations to process: 808
% Current number of ordered equations: 488
% Current number of rules: 312
% New rule produced :
% [326]
% inverse(inverse(A) double_divide (inverse(a2) double_divide B)) <->
% inverse(a2) double_divide inverse(A double_divide B)
% Current number of equations to process: 808
% Current number of ordered equations: 487
% Current number of rules: 313
% New rule produced :
% [327]
% inverse(a2) double_divide inverse(A double_divide B) <->
% inverse(inverse(A) double_divide (inverse(a2) double_divide B))
% Current number of equations to process: 808
% Current number of ordered equations: 486
% Current number of rules: 314
% New rule produced :
% [328]
% (eq)(A,inverse(a2) double_divide (inverse((a2 double_divide B) double_divide A) double_divide B))
% -> (true)
% Current number of equations to process: 806
% Current number of ordered equations: 487
% Current number of rules: 315
% New rule produced :
% [329]
% (eq)(A,(a2 double_divide B) double_divide (inverse(a2) double_divide 
% (inverse(A) double_divide B))) ->
% (true)
% Current number of equations to process: 806
% Current number of ordered equations: 486
% Current number of rules: 316
% New rule produced :
% [330]
% inverse(inverse(a2) double_divide (inverse(A) double_divide B)) <->
% inverse(a2 double_divide B) double_divide inverse(A)
% Current number of equations to process: 806
% Current number of ordered equations: 485
% Current number of rules: 317
% New rule produced :
% [331]
% inverse(a2 double_divide B) double_divide inverse(A) <->
% inverse(inverse(a2) double_divide (inverse(A) double_divide B))
% Current number of equations to process: 806
% Current number of ordered equations: 484
% Current number of rules: 318
% New rule produced :
% [332]
% inverse(inverse(inverse(A) double_divide (inverse(a2) double_divide B))) <->
% a2 double_divide (A double_divide B)
% Current number of equations to process: 806
% Current number of ordered equations: 483
% Current number of rules: 319
% New rule produced :
% [333]
% a2 double_divide (A double_divide B) <->
% inverse(inverse(inverse(A) double_divide (inverse(a2) double_divide B)))
% Current number of equations to process: 806
% Current number of ordered equations: 482
% Current number of rules: 320
% New rule produced :
% [334]
% a2 double_divide (A double_divide B) <->
% inverse(A) double_divide (inverse(inverse(inverse(a2))) double_divide B)
% Current number of equations to process: 806
% Current number of ordered equations: 481
% Current number of rules: 321
% New rule produced :
% [335]
% a2 double_divide (A double_divide B) <->
% inverse(inverse(inverse(A))) double_divide (inverse(a2) double_divide B)
% Current number of equations to process: 806
% Current number of ordered equations: 480
% Current number of rules: 322
% New rule produced :
% [336]
% a2 double_divide (A double_divide B) <->
% inverse(inverse(inverse(a2) double_divide A)) double_divide inverse(B)
% Current number of equations to process: 806
% Current number of ordered equations: 479
% Current number of rules: 323
% New rule produced :
% [337]
% inverse(A) double_divide (inverse(inverse(inverse(a2))) double_divide B) <->
% a2 double_divide (A double_divide B)
% Current number of equations to process: 806
% Current number of ordered equations: 478
% Current number of rules: 324
% New rule produced :
% [338]
% inverse(inverse(inverse(A))) double_divide (inverse(a2) double_divide B) <->
% a2 double_divide (A double_divide B)
% Current number of equations to process: 806
% Current number of ordered equations: 477
% Current number of rules: 325
% New rule produced :
% [339]
% inverse(inverse(inverse(a2) double_divide A)) double_divide inverse(B) <->
% a2 double_divide (A double_divide B)
% Current number of equations to process: 806
% Current number of ordered equations: 476
% Current number of rules: 326
% New rule produced :
% [340]
% (A multiply B) double_divide (inverse(a2) double_divide C) <->
% a2 double_divide ((A double_divide B) double_divide C)
% Current number of equations to process: 806
% Current number of ordered equations: 475
% Current number of rules: 327
% New rule produced :
% [341]
% a2 double_divide ((A double_divide B) double_divide C) <->
% (A multiply B) double_divide (inverse(a2) double_divide C)
% Current number of equations to process: 806
% Current number of ordered equations: 474
% Current number of rules: 328
% New rule produced :
% [342]
% B <->
% inverse((a2 double_divide ((inverse(a2) double_divide A) double_divide A)) double_divide B)
% Current number of equations to process: 806
% Current number of ordered equations: 473
% Current number of rules: 329
% New rule produced :
% [343]
% inverse((a2 double_divide ((inverse(a2) double_divide A) double_divide A)) double_divide B)
% <-> B
% Current number of equations to process: 806
% Current number of ordered equations: 472
% Current number of rules: 330
% New rule produced :
% [344]
% A <->
% inverse(A) double_divide (a2 double_divide ((inverse(a2) double_divide B) double_divide B))
% Current number of equations to process: 806
% Current number of ordered equations: 471
% Current number of rules: 331
% New rule produced :
% [345]
% inverse(A) double_divide (a2 double_divide ((inverse(a2) double_divide B) double_divide B))
% <-> A
% Current number of equations to process: 806
% Current number of ordered equations: 470
% Current number of rules: 332
% New rule produced :
% [346]
% a2 double_divide (a2 double_divide A) <->
% inverse(a2) double_divide (inverse(a2) double_divide inverse(inverse(A)))
% Current number of equations to process: 806
% Current number of ordered equations: 469
% Current number of rules: 333
% New rule produced :
% [347]
% inverse(a2) double_divide (inverse(a2) double_divide inverse(inverse(A))) <->
% a2 double_divide (a2 double_divide A)
% Current number of equations to process: 806
% Current number of ordered equations: 468
% Current number of rules: 334
% New rule produced :
% [348]
% inverse(inverse(inverse(a2) double_divide (inverse(A) double_divide B))) <->
% (a2 double_divide B) double_divide A
% Current number of equations to process: 806
% Current number of ordered equations: 467
% Current number of rules: 335
% New rule produced :
% [349]
% (a2 double_divide B) double_divide A <->
% inverse(inverse(inverse(a2) double_divide (inverse(A) double_divide B)))
% Current number of equations to process: 806
% Current number of ordered equations: 466
% Current number of rules: 336
% New rule produced :
% [350]
% (a2 double_divide B) double_divide A <->
% inverse(a2) double_divide inverse(inverse(inverse(A) double_divide B))
% Current number of equations to process: 806
% Current number of ordered equations: 465
% Current number of rules: 337
% New rule produced :
% [351]
% (a2 double_divide B) double_divide A <->
% inverse(a2) double_divide (inverse(inverse(inverse(A))) double_divide B)
% Current number of equations to process: 806
% Current number of ordered equations: 464
% Current number of rules: 338
% New rule produced :
% [352]
% (a2 double_divide B) double_divide A <->
% inverse(inverse(inverse(a2))) double_divide (inverse(A) double_divide B)
% Current number of equations to process: 806
% Current number of ordered equations: 463
% Current number of rules: 339
% New rule produced :
% [353]
% inverse(a2) double_divide inverse(inverse(inverse(A) double_divide B)) <->
% (a2 double_divide B) double_divide A
% Current number of equations to process: 806
% Current number of ordered equations: 462
% Current number of rules: 340
% New rule produced :
% [354]
% inverse(a2) double_divide (inverse(inverse(inverse(A))) double_divide B) <->
% (a2 double_divide B) double_divide A
% Current number of equations to process: 806
% Current number of ordered equations: 461
% Current number of rules: 341
% New rule produced :
% [355]
% inverse(inverse(inverse(a2))) double_divide (inverse(A) double_divide B) <->
% (a2 double_divide B) double_divide A
% Current number of equations to process: 806
% Current number of ordered equations: 460
% Current number of rules: 342
% New rule produced :
% [356]
% (a2 double_divide C) double_divide (A double_divide B) <->
% inverse(a2) double_divide ((A multiply B) double_divide C)
% Current number of equations to process: 806
% Current number of ordered equations: 459
% Current number of rules: 343
% New rule produced :
% [357]
% inverse(a2) double_divide ((A multiply B) double_divide C) <->
% (a2 double_divide C) double_divide (A double_divide B)
% Current number of equations to process: 806
% Current number of ordered equations: 458
% Current number of rules: 344
% New rule produced :
% [358]
% (a2 double_divide a2) double_divide A <->
% inverse(a2) double_divide (inverse(inverse(a2)) double_divide inverse(A))
% Current number of equations to process: 806
% Current number of ordered equations: 457
% Current number of rules: 345
% New rule produced :
% [359]
% inverse(a2) double_divide (inverse(inverse(a2)) double_divide inverse(A)) <->
% (a2 double_divide a2) double_divide A
% Current number of equations to process: 806
% Current number of ordered equations: 456
% Current number of rules: 346
% New rule produced :
% [360]
% (A multiply B) double_divide (A double_divide B) <->
% a2 double_divide inverse(a2 double_divide (a2 double_divide a2))
% Current number of equations to process: 805
% Current number of ordered equations: 455
% Current number of rules: 347
% New rule produced :
% [361]
% a2 double_divide inverse(a2 double_divide (a2 double_divide a2)) <->
% (A multiply B) double_divide (A double_divide B)
% Current number of equations to process: 805
% Current number of ordered equations: 454
% Current number of rules: 348
% New rule produced :
% [362]
% (eq)(A,inverse(A) double_divide (a2 double_divide inverse(a2 double_divide 
% (a2 double_divide a2))))
% -> (true)
% Current number of equations to process: 804
% Current number of ordered equations: 454
% Current number of rules: 349
% New rule produced :
% [363]
% (eq)(A,inverse((a2 double_divide B) double_divide (inverse(a2) double_divide A)) double_divide B)
% -> (true)
% Current number of equations to process: 802
% Current number of ordered equations: 454
% Current number of rules: 350
% New rule produced :
% [364]
% (eq)(A,inverse((a2 double_divide A) double_divide B) double_divide (inverse(a2) double_divide B))
% -> (true)
% Current number of equations to process: 801
% Current number of ordered equations: 454
% Current number of rules: 351
% New rule produced :
% [365]
% inverse(inverse(inverse(inverse(A) double_divide A))) <->
% a2 double_divide inverse(a2 double_divide (a2 double_divide a2))
% Current number of equations to process: 801
% Current number of ordered equations: 453
% Current number of rules: 352
% New rule produced :
% [366]
% inverse(inverse(inverse(inverse(A))) double_divide A) <->
% a2 double_divide inverse(a2 double_divide (a2 double_divide a2))
% Current number of equations to process: 801
% Current number of ordered equations: 452
% Current number of rules: 353
% New rule produced :
% [367]
% a2 double_divide inverse(a2 double_divide (a2 double_divide a2)) <->
% inverse(inverse(inverse(inverse(A) double_divide A)))
% Current number of equations to process: 801
% Current number of ordered equations: 451
% Current number of rules: 354
% New rule produced :
% [368]
% a2 double_divide inverse(a2 double_divide (a2 double_divide a2)) <->
% inverse(inverse(inverse(inverse(A))) double_divide A)
% Current number of equations to process: 801
% Current number of ordered equations: 450
% Current number of rules: 355
% New rule produced :
% [369]
% inverse(((inverse(A) double_divide inverse(B)) double_divide C) double_divide A)
% <-> B double_divide C
% Current number of equations to process: 801
% Current number of ordered equations: 447
% Current number of rules: 356
% New rule produced :
% [370]
% B double_divide C <->
% inverse(((inverse(A) double_divide inverse(B)) double_divide C) double_divide A)
% Current number of equations to process: 801
% Current number of ordered equations: 444
% Current number of rules: 357
% New rule produced :
% [371]
% B double_divide C <->
% inverse(inverse(A double_divide B) double_divide C) double_divide inverse(A)
% Current number of equations to process: 801
% Current number of ordered equations: 441
% Current number of rules: 358
% New rule produced :
% [372]
% inverse(inverse(A double_divide B) double_divide C) double_divide inverse(A)
% <-> B double_divide C
% Current number of equations to process: 801
% Current number of ordered equations: 438
% Current number of rules: 359
% New rule produced :
% [373]
% inverse(inverse((inverse(A double_divide B) double_divide C) double_divide A))
% <-> B multiply C
% Current number of equations to process: 801
% Current number of ordered equations: 436
% Current number of rules: 360
% New rule produced :
% [374]
% B multiply C <->
% inverse(inverse((inverse(A double_divide B) double_divide C) double_divide A))
% Current number of equations to process: 801
% Current number of ordered equations: 434
% Current number of rules: 361
% New rule produced :
% [375]
% (eq)(A,inverse((inverse(A double_divide B) double_divide C) double_divide B) double_divide C)
% -> (true)
% Current number of equations to process: 797
% Current number of ordered equations: 436
% Current number of rules: 362
% New rule produced :
% [376]
% (eq)(A,inverse((inverse(B double_divide C) double_divide (A double_divide B)) double_divide C))
% -> (true)
% Current number of equations to process: 797
% Current number of ordered equations: 435
% Current number of rules: 363
% New rule produced :
% [377]
% (eq)(A,inverse((inverse((A double_divide B) double_divide C) double_divide B) double_divide C))
% -> (true)
% Current number of equations to process: 797
% Current number of ordered equations: 434
% Current number of rules: 364
% New rule produced :
% [378]
% inverse(inverse(A double_divide B)) <->
% inverse((inverse(B) double_divide C) double_divide A) double_divide C
% Current number of equations to process: 797
% Current number of ordered equations: 433
% Current number of rules: 365
% New rule produced :
% [379]
% inverse((inverse(B) double_divide C) double_divide A) double_divide C <->
% inverse(inverse(A double_divide B))
% Current number of equations to process: 797
% Current number of ordered equations: 432
% Current number of rules: 366
% New rule produced :
% [380]
% inverse(inverse((inverse(A) double_divide B) double_divide C) double_divide B)
% <-> A multiply C
% Current number of equations to process: 797
% Current number of ordered equations: 431
% Current number of rules: 367
% New rule produced :
% [381]
% A multiply C <->
% inverse(inverse((inverse(A) double_divide B) double_divide C) double_divide B)
% Current number of equations to process: 797
% Current number of ordered equations: 430
% Current number of rules: 368
% New rule produced :
% [382]
% (eq)(A,(inverse((inverse(A) double_divide B) double_divide C) double_divide B) double_divide C)
% -> (true)
% Current number of equations to process: 793
% Current number of ordered equations: 432
% Current number of rules: 369
% New rule produced :
% [383]
% (eq)(A,(inverse((inverse(B) double_divide C) double_divide A) double_divide C) double_divide B)
% -> (true)
% Current number of equations to process: 793
% Current number of ordered equations: 431
% Current number of rules: 370
% New rule produced :
% [384]
% (eq)(A,inverse((inverse(B) double_divide C) double_divide (A double_divide B)) double_divide C)
% -> (true)
% Current number of equations to process: 793
% Current number of ordered equations: 430
% Current number of rules: 371
% New rule produced :
% [385]
% inverse(inverse(A) double_divide A) <->
% a2 double_divide (inverse(a2) double_divide inverse(a2 double_divide a2))
% Current number of equations to process: 793
% Current number of ordered equations: 429
% Current number of rules: 372
% New rule produced :
% [386]
% a2 double_divide (inverse(a2) double_divide inverse(a2 double_divide a2)) <->
% inverse(inverse(A) double_divide A)
% Current number of equations to process: 793
% Current number of ordered equations: 428
% Current number of rules: 373
% New rule produced :
% [387]
% (eq)(A,inverse((inverse(B) double_divide A) double_divide C) double_divide 
% (B double_divide C)) -> (true)
% Current number of equations to process: 792
% Current number of ordered equations: 428
% Current number of rules: 374
% New rule produced :
% [388]
% A double_divide C <->
% (inverse(inverse(A) double_divide B) double_divide inverse(C)) double_divide B
% Current number of equations to process: 792
% Current number of ordered equations: 426
% Current number of rules: 375
% New rule produced :
% [389]
% (inverse(inverse(A) double_divide B) double_divide inverse(C)) double_divide B
% <-> A double_divide C
% Current number of equations to process: 792
% Current number of ordered equations: 424
% Current number of rules: 376
% New rule produced :
% [390]
% inverse(inverse(inverse(A) double_divide (B double_divide C)) double_divide C)
% <-> A double_divide B
% Current number of equations to process: 792
% Current number of ordered equations: 422
% Current number of rules: 377
% New rule produced :
% [391]
% A double_divide B <->
% inverse(inverse(inverse(A) double_divide (B double_divide C)) double_divide C)
% Current number of equations to process: 792
% Current number of ordered equations: 420
% Current number of rules: 378
% New rule produced :
% [392]
% inverse(A) double_divide inverse(B) <->
% inverse(inverse(A) double_divide (B double_divide C)) double_divide C
% Current number of equations to process: 792
% Current number of ordered equations: 419
% Current number of rules: 379
% New rule produced :
% [393]
% inverse(inverse(A) double_divide (B double_divide C)) double_divide C <->
% inverse(A) double_divide inverse(B)
% Current number of equations to process: 792
% Current number of ordered equations: 418
% Current number of rules: 380
% New rule produced :
% [394]
% inverse(inverse(A double_divide B)) <->
% inverse(inverse(B) double_divide (A double_divide C)) multiply C
% Current number of equations to process: 792
% Current number of ordered equations: 417
% Current number of rules: 381
% New rule produced :
% [395]
% inverse(inverse(B) double_divide (A double_divide C)) multiply C <->
% inverse(inverse(A double_divide B))
% Current number of equations to process: 792
% Current number of ordered equations: 416
% Current number of rules: 382
% New rule produced :
% [396]
% inverse((inverse(C) double_divide C) double_divide A) <->
% inverse(inverse(A) double_divide B) double_divide inverse(B)
% Current number of equations to process: 792
% Current number of ordered equations: 415
% Current number of rules: 383
% New rule produced :
% [397]
% inverse(inverse(A) double_divide B) double_divide inverse(B) <->
% inverse((inverse(C) double_divide C) double_divide A)
% Current number of equations to process: 792
% Current number of ordered equations: 414
% Current number of rules: 384
% New rule produced :
% [398]
% C <->
% inverse((inverse(A double_divide B) double_divide (A double_divide C)) double_divide B)
% Current number of equations to process: 792
% Current number of ordered equations: 413
% Current number of rules: 385
% New rule produced :
% [399]
% inverse((inverse(A double_divide B) double_divide (A double_divide C)) double_divide B)
% <-> C
% Current number of equations to process: 792
% Current number of ordered equations: 412
% Current number of rules: 386
% New rule produced :
% [400]
% A <->
% inverse(inverse((A multiply B) double_divide C) double_divide (B double_divide C))
% Current number of equations to process: 792
% Current number of ordered equations: 410
% Current number of rules: 387
% New rule produced :
% [401]
% B <->
% inverse((inverse(A double_divide B) multiply C) double_divide (A double_divide C))
% Current number of equations to process: 792
% Current number of ordered equations: 409
% Current number of rules: 388
% New rule produced :
% [402]
% B <->
% inverse(inverse(A double_divide B) double_divide C) multiply (A double_divide C)
% Current number of equations to process: 792
% Current number of ordered equations: 408
% Current number of rules: 389
% New rule produced :
% [403]
% inverse(inverse((A multiply B) double_divide C) double_divide (A double_divide C))
% <-> B
% Current number of equations to process: 792
% Current number of ordered equations: 406
% Current number of rules: 390
% New rule produced :
% [404]
% inverse((inverse(A double_divide B) multiply C) double_divide (A double_divide C))
% <-> B
% Current number of equations to process: 792
% Current number of ordered equations: 405
% Current number of rules: 391
% New rule produced :
% [405]
% inverse(inverse(A double_divide B) double_divide C) multiply (A double_divide C)
% <-> B
% Current number of equations to process: 792
% Current number of ordered equations: 404
% Current number of rules: 392
% New rule produced :
% [406]
% A double_divide B <->
% inverse(inverse(A double_divide B) double_divide inverse(C)) double_divide C
% Current number of equations to process: 792
% Current number of ordered equations: 403
% Current number of rules: 393
% New rule produced :
% [407]
% A double_divide B <->
% inverse(inverse(inverse(C) double_divide B) double_divide A) double_divide C
% Current number of equations to process: 792
% Current number of ordered equations: 402
% Current number of rules: 394
% New rule produced :
% [408]
% inverse(inverse(A double_divide B) double_divide inverse(C)) double_divide C
% <-> A double_divide B
% Current number of equations to process: 792
% Current number of ordered equations: 401
% Current number of rules: 395
% New rule produced :
% [409]
% inverse(inverse(inverse(C) double_divide B) double_divide A) double_divide C
% <-> A double_divide B
% Current number of equations to process: 792
% Current number of ordered equations: 400
% Current number of rules: 396
% New rule produced :
% [410]
% a2 double_divide inverse(A double_divide B) <->
% inverse(inverse(B)) double_divide (inverse(a2) double_divide inverse(A))
% Current number of equations to process: 800
% Current number of ordered equations: 399
% Current number of rules: 397
% New rule produced :
% [411]
% a2 double_divide inverse(A double_divide B) <->
% inverse(inverse(A)) double_divide (inverse(a2) double_divide inverse(B))
% Current number of equations to process: 800
% Current number of ordered equations: 398
% Current number of rules: 398
% New rule produced :
% [412]
% inverse(inverse(B)) double_divide (inverse(a2) double_divide inverse(A)) <->
% a2 double_divide inverse(A double_divide B)
% Current number of equations to process: 800
% Current number of ordered equations: 397
% Current number of rules: 399
% New rule produced :
% [413]
% inverse(inverse(A)) double_divide (inverse(a2) double_divide inverse(B)) <->
% a2 double_divide inverse(A double_divide B)
% Current number of equations to process: 800
% Current number of ordered equations: 396
% Current number of rules: 400
% New rule produced :
% [414]
% a2 double_divide ((inverse(a2) double_divide B) double_divide A) <->
% inverse(A) double_divide (a2 double_divide (a2 double_divide B))
% Current number of equations to process: 800
% Current number of ordered equations: 395
% Current number of rules: 401
% New rule produced :
% [415]
% inverse(A) double_divide (a2 double_divide (a2 double_divide B)) <->
% a2 double_divide ((inverse(a2) double_divide B) double_divide A)
% Current number of equations to process: 800
% Current number of ordered equations: 394
% Current number of rules: 402
% New rule produced :
% [416]
% inverse(a2 double_divide (A double_divide B)) <->
% inverse(inverse(A)) double_divide inverse(inverse(a2) double_divide B)
% Current number of equations to process: 800
% Current number of ordered equations: 393
% Current number of rules: 403
% New rule produced :
% [417]
% inverse(inverse(A)) double_divide inverse(inverse(a2) double_divide B) <->
% inverse(a2 double_divide (A double_divide B))
% Current number of equations to process: 800
% Current number of ordered equations: 392
% Current number of rules: 404
% New rule produced :
% [418]
% a2 double_divide (a2 double_divide (inverse(B) double_divide A)) <->
% inverse(a2) double_divide ((a2 double_divide A) double_divide B)
% Current number of equations to process: 800
% Current number of ordered equations: 391
% Current number of rules: 405
% New rule produced :
% [419]
% inverse(a2) double_divide ((a2 double_divide A) double_divide B) <->
% a2 double_divide (a2 double_divide (inverse(B) double_divide A))
% Current number of equations to process: 800
% Current number of ordered equations: 390
% Current number of rules: 406
% New rule produced :
% [420]
% inverse((a2 double_divide A) double_divide B) <->
% inverse(inverse(a2)) double_divide inverse(inverse(B) double_divide A)
% Current number of equations to process: 800
% Current number of ordered equations: 389
% Current number of rules: 407
% New rule produced :
% [421]
% inverse(inverse(a2)) double_divide inverse(inverse(B) double_divide A) <->
% inverse((a2 double_divide A) double_divide B)
% Current number of equations to process: 800
% Current number of ordered equations: 388
% Current number of rules: 408
% New rule produced :
% [422]
% a2 double_divide ((inverse(C) double_divide B) double_divide A) <->
% inverse(A) double_divide ((a2 double_divide B) double_divide C)
% Rule
% [414]
% a2 double_divide ((inverse(a2) double_divide B) double_divide A) <->
% inverse(A) double_divide (a2 double_divide (a2 double_divide B)) collapsed.
% Rule
% [418]
% a2 double_divide (a2 double_divide (inverse(B) double_divide A)) <->
% inverse(a2) double_divide ((a2 double_divide A) double_divide B) collapsed.
% Current number of equations to process: 800
% Current number of ordered equations: 387
% Current number of rules: 407
% New rule produced :
% [423]
% inverse(A) double_divide ((a2 double_divide B) double_divide C) <->
% a2 double_divide ((inverse(C) double_divide B) double_divide A)
% Rule
% [415]
% inverse(A) double_divide (a2 double_divide (a2 double_divide B)) <->
% a2 double_divide ((inverse(a2) double_divide B) double_divide A) collapsed.
% Rule
% [419]
% inverse(a2) double_divide ((a2 double_divide A) double_divide B) <->
% a2 double_divide (a2 double_divide (inverse(B) double_divide A)) collapsed.
% Current number of equations to process: 800
% Current number of ordered equations: 386
% Current number of rules: 406
% New rule produced :
% [424]
% inverse(a2) double_divide (a2 double_divide (A double_divide B)) <->
% (a2 double_divide (inverse(a2) double_divide B)) double_divide A
% Current number of equations to process: 800
% Current number of ordered equations: 385
% Current number of rules: 407
% New rule produced :
% [425]
% (a2 double_divide (inverse(a2) double_divide B)) double_divide A <->
% inverse(a2) double_divide (a2 double_divide (A double_divide B))
% Current number of equations to process: 800
% Current number of ordered equations: 384
% Current number of rules: 408
% New rule produced :
% [426]
% inverse(inverse(a2 double_divide inverse(a2 double_divide (a2 double_divide a2))))
% <-> inverse(A) double_divide A
% Current number of equations to process: 800
% Current number of ordered equations: 383
% Current number of rules: 409
% New rule produced :
% [427]
% a2 double_divide inverse(inverse(inverse(a2)) double_divide (a2 double_divide a2))
% <-> inverse(A) double_divide A
% Current number of equations to process: 800
% Current number of ordered equations: 382
% Current number of rules: 410
% New rule produced :
% [428]
% a2 double_divide inverse(inverse(inverse(a2 double_divide (a2 double_divide a2))))
% <-> inverse(A) double_divide A
% Current number of equations to process: 800
% Current number of ordered equations: 381
% Current number of rules: 411
% New rule produced :
% [429]
% a2 double_divide inverse(a2 double_divide (a2 double_divide inverse(inverse(a2))))
% <-> inverse(A) double_divide A
% Current number of equations to process: 800
% Current number of ordered equations: 380
% Current number of rules: 412
% New rule produced :
% [430]
% a2 double_divide inverse(a2 double_divide inverse(inverse(a2 double_divide a2)))
% <-> inverse(A) double_divide A
% Current number of equations to process: 800
% Current number of ordered equations: 379
% Current number of rules: 413
% New rule produced :
% [431]
% inverse(A) double_divide A <->
% inverse(inverse(a2 double_divide inverse(a2 double_divide (a2 double_divide a2))))
% Current number of equations to process: 800
% Current number of ordered equations: 378
% Current number of rules: 414
% New rule produced :
% [432]
% inverse(A) double_divide A <->
% a2 double_divide inverse(inverse(inverse(a2)) double_divide (a2 double_divide a2))
% Current number of equations to process: 800
% Current number of ordered equations: 377
% Current number of rules: 415
% New rule produced :
% [433]
% inverse(A) double_divide A <->
% a2 double_divide inverse(inverse(inverse(a2 double_divide (a2 double_divide a2))))
% Current number of equations to process: 800
% Current number of ordered equations: 376
% Current number of rules: 416
% New rule produced :
% [434]
% inverse(A) double_divide A <->
% a2 double_divide inverse(a2 double_divide (a2 double_divide inverse(inverse(a2))))
% Current number of equations to process: 800
% Current number of ordered equations: 375
% Current number of rules: 417
% New rule produced :
% [435]
% inverse(A) double_divide A <->
% a2 double_divide inverse(a2 double_divide inverse(inverse(a2 double_divide a2)))
% Current number of equations to process: 800
% Current number of ordered equations: 374
% Current number of rules: 418
% New rule produced :
% [436]
% inverse(A) double_divide A <->
% inverse(inverse(a2)) double_divide inverse(a2 double_divide (a2 double_divide a2))
% Current number of equations to process: 800
% Current number of ordered equations: 373
% Current number of rules: 419
% New rule produced :
% [437]
% inverse(inverse(a2)) double_divide inverse(a2 double_divide (a2 double_divide a2))
% <-> inverse(A) double_divide A
% Current number of equations to process: 800
% Current number of ordered equations: 372
% Current number of rules: 420
% New rule produced :
% [438]
% a2 double_divide inverse(inverse(a2) double_divide (a2 double_divide 
% inverse(a2))) <->
% inverse(A) double_divide A
% Current number of equations to process: 800
% Current number of ordered equations: 371
% Current number of rules: 421
% New rule produced :
% [439]
% inverse(A) double_divide A <->
% a2 double_divide inverse(inverse(a2) double_divide (a2 double_divide 
% inverse(a2)))
% Current number of equations to process: 800
% Current number of ordered equations: 370
% Current number of rules: 422
% New rule produced :
% [440]
% a2 double_divide inverse(a2 double_divide (a2 double_divide a2)) <->
% ((inverse(A) double_divide A) double_divide B) double_divide B
% Current number of equations to process: 800
% Current number of ordered equations: 369
% Current number of rules: 423
% New rule produced :
% [441]
% ((inverse(A) double_divide A) double_divide B) double_divide B <->
% a2 double_divide inverse(a2 double_divide (a2 double_divide a2))
% Current number of equations to process: 800
% Current number of ordered equations: 368
% Current number of rules: 424
% New rule produced :
% [442]
% a2 double_divide inverse(a2 double_divide (a2 double_divide a2)) <->
% inverse((A double_divide B) double_divide B) double_divide A
% Current number of equations to process: 800
% Current number of ordered equations: 366
% Current number of rules: 425
% New rule produced :
% [443]
% inverse((A double_divide B) double_divide B) double_divide A <->
% a2 double_divide inverse(a2 double_divide (a2 double_divide a2))
% Current number of equations to process: 800
% Current number of ordered equations: 364
% Current number of rules: 426
% New rule produced :
% [444]
% inverse((A multiply B) double_divide (A double_divide B)) <->
% a2 double_divide inverse(a2 double_divide (a2 double_divide a2))
% Current number of equations to process: 800
% Current number of ordered equations: 363
% Current number of rules: 427
% New rule produced :
% [445]
% a2 double_divide inverse(a2 double_divide (a2 double_divide a2)) <->
% inverse((A multiply B) double_divide (A double_divide B))
% Current number of equations to process: 800
% Current number of ordered equations: 362
% Current number of rules: 428
% New rule produced :
% [446]
% inverse(((A double_divide B) double_divide C) double_divide V_3) <->
% (inverse(B double_divide V_3) double_divide A) double_divide C
% Current number of equations to process: 800
% Current number of ordered equations: 361
% Current number of rules: 429
% New rule produced :
% [447]
% (inverse(B double_divide V_3) double_divide A) double_divide C <->
% inverse(((A double_divide B) double_divide C) double_divide V_3)
% Current number of equations to process: 800
% Current number of ordered equations: 360
% Current number of rules: 430
% New rule produced :
% [448]
% (inverse(A) double_divide A) double_divide (B double_divide C) <->
% (inverse(C double_divide V_3) double_divide B) double_divide V_3
% Current number of equations to process: 800
% Current number of ordered equations: 358
% Current number of rules: 431
% New rule produced :
% [449]
% (inverse(C double_divide V_3) double_divide B) double_divide V_3 <->
% (inverse(A) double_divide A) double_divide (B double_divide C)
% Current number of equations to process: 800
% Current number of ordered equations: 356
% Current number of rules: 432
% New rule produced :
% [450]
% inverse(a2 double_divide (inverse(inverse(A) double_divide B) double_divide A))
% <-> inverse(a2) double_divide B
% Current number of equations to process: 800
% Current number of ordered equations: 355
% Current number of rules: 433
% New rule produced :
% [451]
% inverse(a2) double_divide B <->
% inverse(a2 double_divide (inverse(inverse(A) double_divide B) double_divide A))
% Current number of equations to process: 800
% Current number of ordered equations: 354
% Current number of rules: 434
% New rule produced :
% [452]
% inverse((a2 double_divide inverse(inverse(a2) double_divide A)) double_divide B)
% <-> inverse(B) double_divide A
% Current number of equations to process: 800
% Current number of ordered equations: 353
% Current number of rules: 435
% New rule produced :
% [453]
% inverse(B) double_divide A <->
% inverse((a2 double_divide inverse(inverse(a2) double_divide A)) double_divide B)
% Current number of equations to process: 800
% Current number of ordered equations: 352
% Current number of rules: 436
% New rule produced :
% [454]
% ((inverse(B) double_divide V_3) double_divide A) double_divide C <->
% inverse((A double_divide B) double_divide C) double_divide V_3
% Current number of equations to process: 800
% Current number of ordered equations: 351
% Current number of rules: 437
% New rule produced :
% [455]
% inverse((A double_divide B) double_divide C) double_divide V_3 <->
% ((inverse(B) double_divide V_3) double_divide A) double_divide C
% Current number of equations to process: 800
% Current number of ordered equations: 350
% Current number of rules: 438
% New rule produced :
% [456]
% inverse((A double_divide B) double_divide C) double_divide A <->
% ((inverse(V_3) double_divide V_3) double_divide B) double_divide C
% Current number of equations to process: 800
% Current number of ordered equations: 349
% Current number of rules: 439
% New rule produced :
% [457]
% ((inverse(V_3) double_divide V_3) double_divide B) double_divide C <->
% inverse((A double_divide B) double_divide C) double_divide A
% Current number of equations to process: 800
% Current number of ordered equations: 348
% Current number of rules: 440
% New rule produced :
% [458]
% inverse(B) double_divide A <->
% inverse(a2) double_divide inverse(a2 double_divide (inverse(A) double_divide B))
% Current number of equations to process: 800
% Current number of ordered equations: 347
% Current number of rules: 441
% New rule produced :
% [459]
% inverse(a2) double_divide inverse(a2 double_divide (inverse(A) double_divide B))
% <-> inverse(B) double_divide A
% Current number of equations to process: 800
% Current number of ordered equations: 346
% Current number of rules: 442
% New rule produced :
% [460]
% inverse(a2) double_divide A <->
% inverse((a2 double_divide inverse(A)) double_divide B) double_divide 
% inverse(B)
% Current number of equations to process: 800
% Current number of ordered equations: 345
% Current number of rules: 443
% New rule produced :
% [461]
% inverse((a2 double_divide inverse(A)) double_divide B) double_divide 
% inverse(B) <-> inverse(a2) double_divide A
% Current number of equations to process: 800
% Current number of ordered equations: 344
% Current number of rules: 444
% New rule produced :
% [462]
% inverse(inverse(inverse(A double_divide B))) <->
% inverse(inverse(B) double_divide (A double_divide C)) double_divide C
% Current number of equations to process: 800
% Current number of ordered equations: 343
% Current number of rules: 445
% New rule produced :
% [463]
% inverse(inverse(B) double_divide (A double_divide C)) double_divide C <->
% inverse(inverse(inverse(A double_divide B)))
% Current number of equations to process: 800
% Current number of ordered equations: 342
% Current number of rules: 446
% New rule produced :
% [464]
% inverse(A double_divide B) <->
% (inverse(inverse(A)) double_divide inverse(B double_divide C)) double_divide C
% Current number of equations to process: 800
% Current number of ordered equations: 341
% Current number of rules: 447
% New rule produced :
% [465]
% (inverse(inverse(A)) double_divide inverse(B double_divide C)) double_divide C
% <-> inverse(A double_divide B)
% Current number of equations to process: 800
% Current number of ordered equations: 340
% Current number of rules: 448
% New rule produced :
% [466]
% inverse(A double_divide C) <->
% inverse((inverse(A) double_divide (inverse(B) double_divide C)) double_divide B)
% Current number of equations to process: 800
% Current number of ordered equations: 339
% Current number of rules: 449
% New rule produced :
% [467]
% inverse((inverse(A) double_divide (inverse(B) double_divide C)) double_divide B)
% <-> inverse(A double_divide C)
% Current number of equations to process: 800
% Current number of ordered equations: 338
% Current number of rules: 450
% New rule produced :
% [468]
% inverse(A) <->
% inverse(inverse(A double_divide B) double_divide C) double_divide (B double_divide C)
% Current number of equations to process: 800
% Current number of ordered equations: 336
% Current number of rules: 451
% New rule produced :
% [469]
% inverse(inverse(A double_divide B) double_divide C) double_divide (B double_divide C)
% <-> inverse(A)
% Current number of equations to process: 800
% Current number of ordered equations: 334
% Current number of rules: 452
% New rule produced :
% [470]
% inverse(inverse(A double_divide B) double_divide (inverse(C) double_divide C))
% <-> inverse(A) double_divide inverse(B)
% Current number of equations to process: 815
% Current number of ordered equations: 332
% Current number of rules: 453
% New rule produced :
% [471]
% inverse(inverse((inverse(A) double_divide A) double_divide (B double_divide C)))
% <-> inverse(B) double_divide inverse(C)
% Current number of equations to process: 815
% Current number of ordered equations: 331
% Current number of rules: 454
% New rule produced :
% [472]
% inverse(B) double_divide inverse(C) <->
% inverse(inverse((inverse(A) double_divide A) double_divide (B double_divide C)))
% Current number of equations to process: 815
% Current number of ordered equations: 330
% Current number of rules: 455
% New rule produced :
% [473]
% inverse(A) double_divide inverse(B) <->
% inverse(inverse(A double_divide B) double_divide (inverse(C) double_divide C))
% Current number of equations to process: 815
% Current number of ordered equations: 328
% Current number of rules: 456
% New rule produced :
% [474]
% inverse(A) double_divide inverse(B) <->
% inverse(inverse(A double_divide B)) double_divide (inverse(C) double_divide C)
% Current number of equations to process: 815
% Current number of ordered equations: 327
% Current number of rules: 457
% New rule produced :
% [475]
% inverse(inverse(A double_divide B)) double_divide (inverse(C) double_divide C)
% <-> inverse(A) double_divide inverse(B)
% Current number of equations to process: 815
% Current number of ordered equations: 326
% Current number of rules: 458
% New rule produced :
% [476]
% C <->
% inverse(((inverse(A) double_divide inverse(B)) double_divide (A double_divide B)) double_divide C)
% Current number of equations to process: 815
% Current number of ordered equations: 325
% Current number of rules: 459
% New rule produced :
% [477]
% inverse(((inverse(A) double_divide inverse(B)) double_divide (A double_divide B)) double_divide C)
% <-> C
% Current number of equations to process: 815
% Current number of ordered equations: 324
% Current number of rules: 460
% New rule produced :
% [478]
% A <->
% inverse(A) double_divide ((inverse(B) double_divide inverse(C)) double_divide 
% (B double_divide C))
% Current number of equations to process: 815
% Current number of ordered equations: 323
% Current number of rules: 461
% New rule produced :
% [479]
% inverse(A) double_divide ((inverse(B) double_divide inverse(C)) double_divide 
% (B double_divide C)) <-> A
% Current number of equations to process: 815
% Current number of ordered equations: 322
% Current number of rules: 462
% New rule produced :
% [480]
% a2 double_divide A <->
% inverse(inverse(B) double_divide B) double_divide (inverse(a2) double_divide 
% inverse(A))
% Current number of equations to process: 815
% Current number of ordered equations: 321
% Current number of rules: 463
% New rule produced :
% [481]
% a2 double_divide A <->
% inverse(inverse(A)) double_divide (inverse(a2) double_divide (inverse(B) double_divide B))
% Current number of equations to process: 815
% Current number of ordered equations: 320
% Current number of rules: 464
% New rule produced :
% [482]
% inverse(inverse(B) double_divide B) double_divide (inverse(a2) double_divide 
% inverse(A)) <->
% a2 double_divide A
% Current number of equations to process: 815
% Current number of ordered equations: 319
% Current number of rules: 465
% New rule produced :
% [483]
% inverse(inverse(A)) double_divide (inverse(a2) double_divide (inverse(B) double_divide B))
% <-> a2 double_divide A
% Current number of equations to process: 815
% Current number of ordered equations: 318
% Current number of rules: 466
% New rule produced :
% [484]
% inverse(inverse(a2) double_divide (inverse(inverse(A) double_divide A) double_divide B))
% <-> a2 double_divide B
% Current number of equations to process: 815
% Current number of ordered equations: 317
% Current number of rules: 467
% New rule produced :
% [485]
% a2 double_divide B <->
% inverse(inverse(a2) double_divide (inverse(inverse(A) double_divide A) double_divide B))
% Current number of equations to process: 815
% Current number of ordered equations: 316
% Current number of rules: 468
% New rule produced :
% [486]
% a2 double_divide ((B double_divide C) double_divide A) <->
% inverse((inverse(a2) double_divide A) double_divide B) double_divide C
% Current number of equations to process: 815
% Current number of ordered equations: 315
% Current number of rules: 469
% New rule produced :
% [487]
% inverse((inverse(a2) double_divide A) double_divide B) double_divide C <->
% a2 double_divide ((B double_divide C) double_divide A)
% Current number of equations to process: 815
% Current number of ordered equations: 314
% Current number of rules: 470
% New rule produced :
% [488]
% (a2 double_divide A) double_divide (B double_divide C) <->
% inverse(a2) double_divide (inverse(A double_divide B) double_divide C)
% Current number of equations to process: 815
% Current number of ordered equations: 313
% Current number of rules: 471
% New rule produced :
% [489]
% inverse(a2) double_divide (inverse(A double_divide B) double_divide C) <->
% (a2 double_divide A) double_divide (B double_divide C)
% Current number of equations to process: 815
% Current number of ordered equations: 312
% Current number of rules: 472
% New rule produced :
% [490]
% inverse(inverse(A) double_divide A) <->
% inverse(a2) double_divide inverse(inverse(a2 double_divide (a2 double_divide a2)))
% Current number of equations to process: 815
% Current number of ordered equations: 311
% Current number of rules: 473
% New rule produced :
% [491]
% inverse(a2) double_divide inverse(inverse(a2 double_divide (a2 double_divide a2)))
% <-> inverse(inverse(A) double_divide A)
% Current number of equations to process: 815
% Current number of ordered equations: 310
% Current number of rules: 474
% New rule produced :
% [492]
% inverse(inverse(inverse((inverse(A double_divide B) double_divide C) double_divide A)))
% <-> B double_divide C
% Current number of equations to process: 815
% Current number of ordered equations: 309
% Current number of rules: 475
% New rule produced :
% [493]
% inverse((inverse(inverse(inverse(A double_divide B))) double_divide C) double_divide A)
% <-> B double_divide C
% Current number of equations to process: 815
% Current number of ordered equations: 308
% Current number of rules: 476
% New rule produced :
% [494]
% inverse(inverse(inverse(inverse(A double_divide B) double_divide C)) double_divide A)
% <-> B double_divide C
% Current number of equations to process: 815
% Current number of ordered equations: 307
% Current number of rules: 477
% New rule produced :
% [495]
% B double_divide C <->
% inverse(inverse(inverse((inverse(A double_divide B) double_divide C) double_divide A)))
% Current number of equations to process: 815
% Current number of ordered equations: 306
% Current number of rules: 478
% New rule produced :
% [496]
% B double_divide C <->
% inverse((inverse(inverse(inverse(A double_divide B))) double_divide C) double_divide A)
% Current number of equations to process: 815
% Current number of ordered equations: 305
% Current number of rules: 479
% New rule produced :
% [497]
% B double_divide C <->
% inverse(inverse(inverse(inverse(A double_divide B) double_divide C)) double_divide A)
% Current number of equations to process: 815
% Current number of ordered equations: 304
% Current number of rules: 480
% New rule produced :
% [498]
% inverse(inverse(A) double_divide (inverse(a2) double_divide inverse(a2 double_divide B)))
% <-> A double_divide B
% Current number of equations to process: 815
% Current number of ordered equations: 303
% Current number of rules: 481
% New rule produced :
% [499]
% inverse(inverse(inverse(a2 double_divide A)) double_divide (inverse(a2) double_divide B))
% <-> A double_divide B
% Current number of equations to process: 815
% Current number of ordered equations: 302
% Current number of rules: 482
% New rule produced :
% [500]
% A double_divide B <->
% inverse(inverse(A) double_divide (inverse(a2) double_divide inverse(a2 double_divide B)))
% Current number of equations to process: 815
% Current number of ordered equations: 301
% Current number of rules: 483
% New rule produced :
% [501]
% A double_divide B <->
% inverse(inverse(inverse(a2 double_divide A)) double_divide (inverse(a2) double_divide B))
% Current number of equations to process: 815
% Current number of ordered equations: 300
% Current number of rules: 484
% New rule produced :
% [502]
% inverse(inverse(a2) double_divide (inverse(A double_divide B) double_divide 
% inverse(A))) <-> a2 double_divide B
% Current number of equations to process: 815
% Current number of ordered equations: 299
% Current number of rules: 485
% New rule produced :
% [503]
% a2 double_divide B <->
% inverse(inverse(a2) double_divide (inverse(A double_divide B) double_divide 
% inverse(A)))
% Current number of equations to process: 815
% Current number of ordered equations: 298
% Current number of rules: 486
% New rule produced :
% [504]
% inverse(inverse((inverse(A double_divide B) double_divide C) double_divide A))
% <-> inverse(B) double_divide inverse(C)
% Current number of equations to process: 815
% Current number of ordered equations: 296
% Current number of rules: 487
% New rule produced :
% [505]
% inverse(B) double_divide inverse(C) <->
% inverse(inverse((inverse(A double_divide B) double_divide C) double_divide A))
% Current number of equations to process: 815
% Current number of ordered equations: 294
% Current number of rules: 488
% New rule produced :
% [506]
% inverse(inverse((inverse(A) double_divide B) double_divide C) double_divide B)
% <-> inverse(A) double_divide inverse(C)
% Current number of equations to process: 815
% Current number of ordered equations: 293
% Current number of rules: 489
% New rule produced :
% [507]
% inverse(A) double_divide inverse(C) <->
% inverse(inverse((inverse(A) double_divide B) double_divide C) double_divide B)
% Current number of equations to process: 815
% Current number of ordered equations: 292
% Current number of rules: 490
% New rule produced :
% [508]
% inverse(inverse(A) double_divide A) <->
% a2 double_divide inverse(inverse(inverse(a2)) double_divide (a2 double_divide a2))
% Current number of equations to process: 815
% Current number of ordered equations: 291
% Current number of rules: 491
% New rule produced :
% [509]
% inverse(inverse(A) double_divide A) <->
% a2 double_divide inverse(inverse(inverse(a2 double_divide (a2 double_divide a2))))
% Current number of equations to process: 815
% Current number of ordered equations: 290
% Current number of rules: 492
% New rule produced :
% [510]
% inverse(inverse(A) double_divide A) <->
% a2 double_divide inverse(a2 double_divide (a2 double_divide inverse(inverse(a2))))
% Current number of equations to process: 815
% Current number of ordered equations: 289
% Current number of rules: 493
% New rule produced :
% [511]
% inverse(inverse(A) double_divide A) <->
% a2 double_divide inverse(a2 double_divide inverse(inverse(a2 double_divide a2)))
% Current number of equations to process: 815
% Current number of ordered equations: 288
% Current number of rules: 494
% New rule produced :
% [512]
% inverse(inverse(A) double_divide A) <->
% inverse(inverse(a2)) double_divide inverse(a2 double_divide (a2 double_divide a2))
% Current number of equations to process: 815
% Current number of ordered equations: 287
% Current number of rules: 495
% New rule produced :
% [513]
% a2 double_divide inverse(inverse(inverse(a2)) double_divide (a2 double_divide a2))
% <-> inverse(inverse(A) double_divide A)
% Current number of equations to process: 815
% Current number of ordered equations: 286
% Current number of rules: 496
% New rule produced :
% [514]
% a2 double_divide inverse(inverse(inverse(a2 double_divide (a2 double_divide a2))))
% <-> inverse(inverse(A) double_divide A)
% Current number of equations to process: 815
% Current number of ordered equations: 285
% Current number of rules: 497
% New rule produced :
% [515]
% a2 double_divide inverse(a2 double_divide (a2 double_divide inverse(inverse(a2))))
% <-> inverse(inverse(A) double_divide A)
% Current number of equations to process: 815
% Current number of ordered equations: 284
% Current number of rules: 498
% New rule produced :
% [516]
% a2 double_divide inverse(a2 double_divide inverse(inverse(a2 double_divide a2)))
% <-> inverse(inverse(A) double_divide A)
% Current number of equations to process: 815
% Current number of ordered equations: 283
% Current number of rules: 499
% New rule produced :
% [517]
% inverse(inverse(a2)) double_divide inverse(a2 double_divide (a2 double_divide a2))
% <-> inverse(inverse(A) double_divide A)
% Current number of equations to process: 815
% Current number of ordered equations: 282
% Current number of rules: 500
% New rule produced :
% [518]
% (eq)(a2,inverse(a2 double_divide (a2 double_divide a2)) double_divide 
% inverse(inverse(A) double_divide A)) -> (true)
% Current number of equations to process: 814
% Current number of ordered equations: 282
% Current number of rules: 501
% New rule produced :
% [519]
% inverse(inverse(A) double_divide A) <->
% a2 double_divide inverse(inverse(a2) double_divide (a2 double_divide 
% inverse(a2)))
% Current number of equations to process: 814
% Current number of ordered equations: 281
% Current number of rules: 502
% New rule produced :
% [520]
% a2 double_divide inverse(inverse(a2) double_divide (a2 double_divide 
% inverse(a2))) <->
% inverse(inverse(A) double_divide A)
% Current number of equations to process: 814
% Current number of ordered equations: 280
% Current number of rules: 503
% New rule produced :
% [521]
% inverse(inverse(inverse((inverse(A) double_divide B) double_divide C))) double_divide B
% <-> A double_divide C
% Current number of equations to process: 814
% Current number of ordered equations: 279
% Current number of rules: 504
% New rule produced :
% [522]
% inverse(inverse(inverse((inverse(A) double_divide B) double_divide C) double_divide B))
% <-> A double_divide C
% Current number of equations to process: 814
% Current number of ordered equations: 278
% Current number of rules: 505
% New rule produced :
% [523]
% A double_divide C <->
% inverse(inverse(inverse((inverse(A) double_divide B) double_divide C))) double_divide B
% Current number of equations to process: 814
% Current number of ordered equations: 277
% Current number of rules: 506
% New rule produced :
% [524]
% A double_divide C <->
% inverse(inverse(inverse((inverse(A) double_divide B) double_divide C) double_divide B))
% Current number of equations to process: 814
% Current number of ordered equations: 276
% Current number of rules: 507
% New rule produced :
% [525]
% A double_divide C <->
% inverse((inverse(inverse(inverse(A))) double_divide B) double_divide C) double_divide B
% Current number of equations to process: 814
% Current number of ordered equations: 275
% Current number of rules: 508
% New rule produced :
% [526]
% A double_divide C <->
% inverse(inverse(inverse(inverse(A) double_divide B)) double_divide C) double_divide B
% Current number of equations to process: 814
% Current number of ordered equations: 274
% Current number of rules: 509
% New rule produced :
% [527]
% inverse((inverse(inverse(inverse(A))) double_divide B) double_divide C) double_divide B
% <-> A double_divide C
% Current number of equations to process: 814
% Current number of ordered equations: 273
% Current number of rules: 510
% New rule produced :
% [528]
% inverse(inverse(inverse(inverse(A) double_divide B)) double_divide C) double_divide B
% <-> A double_divide C
% Current number of equations to process: 814
% Current number of ordered equations: 272
% Current number of rules: 511
% New rule produced :
% [529]
% (A double_divide B) double_divide V_3 <->
% inverse(((A multiply B) double_divide C) double_divide V_3) double_divide C
% Current number of equations to process: 814
% Current number of ordered equations: 271
% Current number of rules: 512
% New rule produced :
% [530]
% inverse(((A multiply B) double_divide C) double_divide V_3) double_divide C
% <-> (A double_divide B) double_divide V_3
% Current number of equations to process: 814
% Current number of ordered equations: 270
% Current number of rules: 513
% New rule produced :
% [531]
% a2 double_divide B <->
% inverse(inverse(A) double_divide (inverse(a2) double_divide inverse(B))) double_divide A
% Current number of equations to process: 814
% Current number of ordered equations: 269
% Current number of rules: 514
% New rule produced :
% [532]
% a2 double_divide A <->
% inverse(inverse(inverse(A)) double_divide (inverse(a2) double_divide B)) double_divide B
% Current number of equations to process: 814
% Current number of ordered equations: 268
% Current number of rules: 515
% New rule produced :
% [533]
% inverse(inverse(A) double_divide (inverse(a2) double_divide inverse(B))) double_divide A
% <-> a2 double_divide B
% Current number of equations to process: 814
% Current number of ordered equations: 267
% Current number of rules: 516
% New rule produced :
% [534]
% inverse(inverse(inverse(A)) double_divide (inverse(a2) double_divide B)) double_divide B
% <-> a2 double_divide A
% Current number of equations to process: 814
% Current number of ordered equations: 266
% Current number of rules: 517
% New rule produced :
% [535]
% A double_divide B <->
% a2 double_divide inverse(inverse(a2) double_divide (inverse(A) double_divide 
% inverse(B)))
% Current number of equations to process: 814
% Current number of ordered equations: 265
% Current number of rules: 518
% New rule produced :
% [536]
% a2 double_divide inverse(inverse(a2) double_divide (inverse(A) double_divide 
% inverse(B))) <->
% A double_divide B
% Current number of equations to process: 814
% Current number of ordered equations: 264
% Current number of rules: 519
% New rule produced :
% [537]
% a2 double_divide inverse((inverse(A) double_divide A) double_divide B) <->
% (a2 double_divide (a2 double_divide a2)) double_divide B
% Current number of equations to process: 814
% Current number of ordered equations: 263
% Current number of rules: 520
% New rule produced :
% [538]
% (a2 double_divide (a2 double_divide a2)) double_divide B <->
% a2 double_divide inverse((inverse(A) double_divide A) double_divide B)
% Current number of equations to process: 814
% Current number of ordered equations: 262
% Current number of rules: 521
% New rule produced :
% [539]
% A <->
% inverse(inverse(A) double_divide ((inverse(B) double_divide B) double_divide C)) double_divide C
% Current number of equations to process: 814
% Current number of ordered equations: 261
% Current number of rules: 522
% New rule produced :
% [540]
% A <->
% inverse(inverse(inverse(B) double_divide B) double_divide (A double_divide C)) double_divide C
% Current number of equations to process: 814
% Current number of ordered equations: 260
% Current number of rules: 523
% New rule produced :
% [541]
% inverse(inverse(A) double_divide ((inverse(B) double_divide B) double_divide C)) double_divide C
% <-> A
% Current number of equations to process: 814
% Current number of ordered equations: 259
% Current number of rules: 524
% New rule produced :
% [542]
% inverse(inverse(inverse(B) double_divide B) double_divide (A double_divide C)) double_divide C
% <-> A
% Current number of equations to process: 814
% Current number of ordered equations: 258
% Current number of rules: 525
% New rule produced :
% [543]
% (eq)(A,inverse(inverse(B) double_divide (A double_divide C)) double_divide 
% inverse(B double_divide C)) -> (true)
% Current number of equations to process: 813
% Current number of ordered equations: 258
% Current number of rules: 526
% New rule produced :
% [544]
% inverse(inverse(A double_divide B)) <->
% inverse(inverse(B) double_divide ((inverse(C) double_divide C) double_divide A))
% Current number of equations to process: 813
% Current number of ordered equations: 257
% Current number of rules: 527
% New rule produced :
% [545]
% inverse(inverse(B) double_divide ((inverse(C) double_divide C) double_divide A))
% <-> inverse(inverse(A double_divide B))
% Current number of equations to process: 813
% Current number of ordered equations: 256
% Current number of rules: 528
% New rule produced :
% [546]
% inverse(inverse(B) double_divide A) <->
% inverse(inverse(A) double_divide B) double_divide (inverse(C) double_divide C)
% Current number of equations to process: 813
% Current number of ordered equations: 255
% Current number of rules: 529
% New rule produced :
% [547]
% inverse(inverse(A) double_divide B) double_divide (inverse(C) double_divide C)
% <-> inverse(inverse(B) double_divide A)
% Current number of equations to process: 813
% Current number of ordered equations: 254
% Current number of rules: 530
% New rule produced :
% [548]
% A <->
% inverse(inverse(A double_divide B) double_divide ((inverse(C) double_divide C) double_divide B))
% Current number of equations to process: 813
% Current number of ordered equations: 252
% Current number of rules: 531
% New rule produced :
% [549]
% inverse(inverse(A double_divide B) double_divide ((inverse(C) double_divide C) double_divide B))
% <-> A
% Current number of equations to process: 813
% Current number of ordered equations: 250
% Current number of rules: 532
% New rule produced :
% [550]
% B <->
% inverse(inverse(inverse(A double_divide B) double_divide (A double_divide C)) double_divide C)
% Current number of equations to process: 813
% Current number of ordered equations: 249
% Current number of rules: 533
% New rule produced :
% [551]
% C <->
% inverse(inverse((A double_divide B) double_divide B) double_divide inverse(
% A double_divide C))
% Current number of equations to process: 813
% Current number of ordered equations: 248
% Current number of rules: 534
% New rule produced :
% [552]
% inverse(inverse(inverse(A double_divide B) double_divide (A double_divide C)) double_divide C)
% <-> B
% Current number of equations to process: 813
% Current number of ordered equations: 247
% Current number of rules: 535
% New rule produced :
% [553]
% inverse(inverse((A double_divide B) double_divide B) double_divide inverse(
% A double_divide C))
% <-> C
% Current number of equations to process: 813
% Current number of ordered equations: 246
% Current number of rules: 536
% New rule produced :
% [554]
% A <->
% inverse(a2 double_divide ((inverse(inverse(a2) double_divide A) double_divide B) double_divide B))
% Current number of equations to process: 813
% Current number of ordered equations: 245
% Current number of rules: 537
% New rule produced :
% [555]
% B <->
% inverse(a2 double_divide ((inverse(a2) double_divide inverse(A double_divide B)) double_divide A))
% Current number of equations to process: 813
% Current number of ordered equations: 244
% Current number of rules: 538
% New rule produced :
% [556]
% inverse(a2 double_divide ((inverse(a2) double_divide inverse(A double_divide B)) double_divide A))
% <-> B
% Current number of equations to process: 813
% Current number of ordered equations: 243
% Current number of rules: 539
% New rule produced :
% [557]
% inverse(a2 double_divide ((inverse(inverse(a2) double_divide A) double_divide B) double_divide B))
% <-> A
% Current number of equations to process: 813
% Current number of ordered equations: 242
% Current number of rules: 540
% New rule produced :
% [558]
% a2 <->
% inverse(inverse(inverse(A) double_divide A) double_divide (a2 double_divide 
% (a2 double_divide a2)))
% Current number of equations to process: 813
% Current number of ordered equations: 241
% Current number of rules: 541
% New rule produced :
% [559]
% inverse(inverse(inverse(A) double_divide A) double_divide (a2 double_divide 
% (a2 double_divide a2)))
% <-> a2
% Current number of equations to process: 813
% Current number of ordered equations: 240
% Current number of rules: 542
% New rule produced :
% [560]
% A <->
% inverse(inverse(A double_divide B) double_divide ((inverse(B) double_divide C) double_divide C))
% Current number of equations to process: 813
% Current number of ordered equations: 239
% Current number of rules: 543
% New rule produced :
% [561]
% inverse(inverse(A double_divide B) double_divide ((inverse(B) double_divide C) double_divide C))
% <-> A
% Current number of equations to process: 813
% Current number of ordered equations: 238
% Current number of rules: 544
% New rule produced :
% [562]
% inverse(inverse(inverse(A double_divide B)) double_divide (inverse(B) double_divide C))
% <-> A double_divide C
% Rule
% [499]
% inverse(inverse(inverse(a2 double_divide A)) double_divide (inverse(a2) double_divide B))
% <-> A double_divide B collapsed.
% Current number of equations to process: 813
% Current number of ordered equations: 237
% Current number of rules: 544
% New rule produced :
% [563]
% A double_divide C <->
% inverse(inverse(inverse(A double_divide B)) double_divide (inverse(B) double_divide C))
% Rule
% [501]
% A double_divide B <->
% inverse(inverse(inverse(a2 double_divide A)) double_divide (inverse(a2) double_divide B))
% collapsed.
% Current number of equations to process: 813
% Current number of ordered equations: 236
% Current number of rules: 544
% New rule produced :
% [564]
% inverse(A double_divide C) <->
% inverse(inverse(A) double_divide (inverse(B) double_divide B)) double_divide 
% inverse(C)
% Current number of equations to process: 813
% Current number of ordered equations: 235
% Current number of rules: 545
% New rule produced :
% [565]
% inverse(inverse(A) double_divide (inverse(B) double_divide B)) double_divide 
% inverse(C) <-> inverse(A double_divide C)
% Current number of equations to process: 813
% Current number of ordered equations: 234
% Current number of rules: 546
% New rule produced :
% [566]
% inverse(A double_divide B) <->
% inverse(A) double_divide (inverse(inverse(B)) double_divide (inverse(C) double_divide C))
% Current number of equations to process: 813
% Current number of ordered equations: 233
% Current number of rules: 547
% New rule produced :
% [567]
% inverse(A double_divide B) <->
% inverse(inverse(A) double_divide inverse(B)) double_divide (inverse(C) double_divide C)
% Current number of equations to process: 813
% Current number of ordered equations: 232
% Current number of rules: 548
% New rule produced :
% [568]
% inverse(A) double_divide (inverse(inverse(B)) double_divide (inverse(C) double_divide C))
% <-> inverse(A double_divide B)
% Current number of equations to process: 813
% Current number of ordered equations: 231
% Current number of rules: 549
% New rule produced :
% [569]
% inverse(inverse(A) double_divide inverse(B)) double_divide (inverse(C) double_divide C)
% <-> inverse(A double_divide B)
% Current number of equations to process: 813
% Current number of ordered equations: 230
% Current number of rules: 550
% New rule produced :
% [570]
% a2 double_divide (((inverse(C) double_divide C) double_divide B) double_divide A)
% <-> (inverse(a2) double_divide A) double_divide B
% Current number of equations to process: 813
% Current number of ordered equations: 229
% Current number of rules: 551
% New rule produced :
% [571]
% (inverse(a2) double_divide A) double_divide B <->
% a2 double_divide (((inverse(C) double_divide C) double_divide B) double_divide A)
% Current number of equations to process: 813
% Current number of ordered equations: 228
% Current number of rules: 552
% New rule produced :
% [572]
% (a2 double_divide A) double_divide ((inverse(C) double_divide C) double_divide B)
% <-> inverse(a2) double_divide (A double_divide B)
% Current number of equations to process: 813
% Current number of ordered equations: 227
% Current number of rules: 553
% New rule produced :
% [573]
% inverse(a2) double_divide (A double_divide B) <->
% (a2 double_divide A) double_divide ((inverse(C) double_divide C) double_divide B)
% Current number of equations to process: 813
% Current number of ordered equations: 226
% Current number of rules: 554
% New rule produced :
% [574]
% a2 double_divide inverse(a2 double_divide (a2 double_divide a2)) <->
% (inverse(A) double_divide inverse(B)) double_divide (A double_divide B)
% Current number of equations to process: 813
% Current number of ordered equations: 225
% Current number of rules: 555
% New rule produced :
% [575]
% (inverse(A) double_divide inverse(B)) double_divide (A double_divide B) <->
% a2 double_divide inverse(a2 double_divide (a2 double_divide a2))
% Current number of equations to process: 813
% Current number of ordered equations: 224
% Current number of rules: 556
% New rule produced :
% [576]
% inverse(((inverse(A) double_divide A) double_divide B) double_divide B) <->
% a2 double_divide inverse(a2 double_divide (a2 double_divide a2))
% Current number of equations to process: 813
% Current number of ordered equations: 223
% Current number of rules: 557
% New rule produced :
% [577]
% a2 double_divide inverse(a2 double_divide (a2 double_divide a2)) <->
% inverse(((inverse(A) double_divide A) double_divide B) double_divide B)
% Current number of equations to process: 813
% Current number of ordered equations: 222
% Current number of rules: 558
% New rule produced :
% [578]
% inverse(inverse((A double_divide B) double_divide B) double_divide A) <->
% a2 double_divide inverse(a2 double_divide (a2 double_divide a2))
% Current number of equations to process: 813
% Current number of ordered equations: 219
% Current number of rules: 559
% New rule produced :
% [579]
% a2 double_divide inverse(a2 double_divide (a2 double_divide a2)) <->
% inverse(inverse((A double_divide B) double_divide B) double_divide A)
% Current number of equations to process: 813
% Current number of ordered equations: 216
% Current number of rules: 560
% New rule produced :
% [580]
% inverse(a2 double_divide ((inverse(a2) double_divide A) double_divide A)) <->
% a2 double_divide inverse(a2 double_divide (a2 double_divide a2))
% Current number of equations to process: 813
% Current number of ordered equations: 215
% Current number of rules: 561
% New rule produced :
% [581]
% a2 double_divide inverse(a2 double_divide (a2 double_divide a2)) <->
% inverse(a2 double_divide ((inverse(a2) double_divide A) double_divide A))
% Current number of equations to process: 813
% Current number of ordered equations: 214
% Current number of rules: 562
% New rule produced :
% [582]
% inverse(inverse(A) double_divide (inverse(inverse(A double_divide B)) double_divide C))
% <-> inverse(B) double_divide C
% Current number of equations to process: 813
% Current number of ordered equations: 213
% Current number of rules: 563
% New rule produced :
% [583]
% inverse(B) double_divide C <->
% inverse(inverse(A) double_divide (inverse(inverse(A double_divide B)) double_divide C))
% Current number of equations to process: 813
% Current number of ordered equations: 212
% Current number of rules: 564
% New rule produced :
% [584]
% inverse((a2 double_divide ((A double_divide B) double_divide C)) double_divide A)
% <-> (inverse(a2) double_divide C) double_divide B
% Current number of equations to process: 813
% Current number of ordered equations: 211
% Current number of rules: 565
% New rule produced :
% [585]
% (inverse(a2) double_divide C) double_divide B <->
% inverse((a2 double_divide ((A double_divide B) double_divide C)) double_divide A)
% Current number of equations to process: 813
% Current number of ordered equations: 210
% Current number of rules: 566
% New rule produced :
% [586]
% inverse(A double_divide B) <->
% inverse((inverse(inverse(B) double_divide C) double_divide inverse(A)) double_divide C)
% Current number of equations to process: 813
% Current number of ordered equations: 209
% Current number of rules: 567
% New rule produced :
% [587]
% inverse((inverse(inverse(B) double_divide C) double_divide inverse(A)) double_divide C)
% <-> inverse(A double_divide B)
% Current number of equations to process: 813
% Current number of ordered equations: 208
% Current number of rules: 568
% New rule produced :
% [588]
% inverse(A double_divide B) <->
% inverse(inverse(A) double_divide (inverse(inverse(B)) double_divide C)) double_divide C
% Current number of equations to process: 813
% Current number of ordered equations: 206
% Current number of rules: 569
% New rule produced :
% [589]
% inverse(A double_divide B) <->
% inverse(inverse(B) double_divide (inverse(inverse(A)) double_divide C)) double_divide C
% Current number of equations to process: 813
% Current number of ordered equations: 205
% Current number of rules: 570
% New rule produced :
% [590]
% inverse(inverse(A) double_divide (inverse(inverse(B)) double_divide C)) double_divide C
% <-> inverse(A double_divide B)
% Current number of equations to process: 813
% Current number of ordered equations: 203
% Current number of rules: 571
% New rule produced :
% [591]
% inverse(inverse(B) double_divide (inverse(inverse(A)) double_divide C)) double_divide C
% <-> inverse(A double_divide B)
% Current number of equations to process: 813
% Current number of ordered equations: 202
% Current number of rules: 572
% New rule produced :
% [592]
% inverse(inverse(inverse(A) double_divide A)) <->
% inverse(a2) double_divide inverse(inverse(a2 double_divide (a2 double_divide a2)))
% Current number of equations to process: 813
% Current number of ordered equations: 201
% Current number of rules: 573
% New rule produced :
% [593]
% inverse(a2) double_divide inverse(inverse(a2 double_divide (a2 double_divide a2)))
% <-> inverse(inverse(inverse(A) double_divide A))
% Current number of equations to process: 813
% Current number of ordered equations: 200
% Current number of rules: 574
% New rule produced :
% [594]
% (a2 double_divide a2) double_divide (a2 double_divide (a2 double_divide a2))
% <-> inverse(a2) double_divide inverse(inverse(A) double_divide A)
% Current number of equations to process: 813
% Current number of ordered equations: 199
% Current number of rules: 575
% New rule produced :
% [595]
% inverse(a2) double_divide inverse(inverse(A) double_divide A) <->
% (a2 double_divide a2) double_divide (a2 double_divide (a2 double_divide a2))
% Current number of equations to process: 813
% Current number of ordered equations: 198
% Current number of rules: 576
% New rule produced :
% [596]
% inverse(A double_divide B) <->
% inverse(inverse((inverse(B) double_divide C) double_divide A)) double_divide 
% inverse(C)
% Current number of equations to process: 813
% Current number of ordered equations: 197
% Current number of rules: 577
% New rule produced :
% [597]
% inverse(inverse((inverse(B) double_divide C) double_divide A)) double_divide 
% inverse(C) <-> inverse(A double_divide B)
% Current number of equations to process: 813
% Current number of ordered equations: 196
% Current number of rules: 578
% New rule produced :
% [598]
% (a2 double_divide C) double_divide ((inverse(B) double_divide C) double_divide A)
% <-> inverse(a2) double_divide (A double_divide B)
% Current number of equations to process: 813
% Current number of ordered equations: 195
% Current number of rules: 579
% New rule produced :
% [599]
% inverse(a2) double_divide (A double_divide B) <->
% (a2 double_divide C) double_divide ((inverse(B) double_divide C) double_divide A)
% Current number of equations to process: 813
% Current number of ordered equations: 194
% Current number of rules: 580
% New rule produced :
% [600]
% inverse(A double_divide B) <->
% inverse(inverse(inverse(inverse(A))) double_divide (B double_divide C)) double_divide C
% Current number of equations to process: 813
% Current number of ordered equations: 193
% Current number of rules: 581
% New rule produced :
% [601]
% inverse(A double_divide B) <->
% inverse(inverse(inverse(inverse(A) double_divide (B double_divide C)))) double_divide C
% Current number of equations to process: 813
% Current number of ordered equations: 192
% Current number of rules: 582
% New rule produced :
% [602]
% inverse(A double_divide C) <->
% inverse(inverse(inverse(A double_divide B)) double_divide inverse(C)) double_divide B
% Current number of equations to process: 813
% Current number of ordered equations: 191
% Current number of rules: 583
% New rule produced :
% [603]
% inverse(inverse(inverse(inverse(A))) double_divide (B double_divide C)) double_divide C
% <-> inverse(A double_divide B)
% Current number of equations to process: 813
% Current number of ordered equations: 190
% Current number of rules: 584
% New rule produced :
% [604]
% inverse(inverse(inverse(A double_divide B)) double_divide inverse(C)) double_divide B
% <-> inverse(A double_divide C)
% Current number of equations to process: 813
% Current number of ordered equations: 189
% Current number of rules: 585
% New rule produced :
% [605]
% inverse(inverse(inverse(inverse(A) double_divide (B double_divide C)))) double_divide C
% <-> inverse(A double_divide B)
% Current number of equations to process: 813
% Current number of ordered equations: 188
% Current number of rules: 586
% New rule produced :
% [606]
% inverse((A double_divide B) double_divide C) <->
% inverse((A multiply B) double_divide (C double_divide V_3)) double_divide V_3
% Current number of equations to process: 813
% Current number of ordered equations: 187
% Current number of rules: 587
% New rule produced :
% [607]
% inverse((A multiply B) double_divide (C double_divide V_3)) double_divide V_3
% <-> inverse((A double_divide B) double_divide C)
% Current number of equations to process: 813
% Current number of ordered equations: 186
% Current number of rules: 588
% New rule produced :
% [608]
% inverse(((inverse(V_3) double_divide V_3) double_divide C) double_divide A)
% <-> inverse((A double_divide B) double_divide C) double_divide B
% Current number of equations to process: 813
% Current number of ordered equations: 185
% Current number of rules: 589
% New rule produced :
% [609]
% inverse((A double_divide B) double_divide C) double_divide B <->
% inverse(((inverse(V_3) double_divide V_3) double_divide C) double_divide A)
% Current number of equations to process: 813
% Current number of ordered equations: 184
% Current number of rules: 590
% New rule produced :
% [610]
% inverse(A double_divide B) <->
% a2 double_divide inverse(inverse(a2) double_divide (inverse(inverse(A)) double_divide B))
% Current number of equations to process: 813
% Current number of ordered equations: 183
% Current number of rules: 591
% New rule produced :
% [611]
% a2 double_divide inverse(inverse(a2) double_divide (inverse(inverse(A)) double_divide B))
% <-> inverse(A double_divide B)
% Current number of equations to process: 813
% Current number of ordered equations: 182
% Current number of rules: 592
% New rule produced :
% [612]
% inverse((A double_divide B) double_divide B) <->
% (a2 double_divide inverse(a2 double_divide (a2 double_divide a2))) double_divide A
% Current number of equations to process: 813
% Current number of ordered equations: 181
% Current number of rules: 593
% New rule produced :
% [613]
% (a2 double_divide inverse(a2 double_divide (a2 double_divide a2))) double_divide A
% <-> inverse((A double_divide B) double_divide B)
% Current number of equations to process: 813
% Current number of ordered equations: 180
% Current number of rules: 594
% New rule produced :
% [614]
% inverse(inverse(A double_divide B) double_divide C) double_divide V_3 <->
% (inverse(B) double_divide (A double_divide V_3)) double_divide C
% Current number of equations to process: 813
% Current number of ordered equations: 179
% Current number of rules: 595
% New rule produced :
% [615]
% (inverse(B) double_divide (A double_divide V_3)) double_divide C <->
% inverse(inverse(A double_divide B) double_divide C) double_divide V_3
% Current number of equations to process: 813
% Current number of ordered equations: 178
% Current number of rules: 596
% New rule produced :
% [616]
% inverse((A double_divide B) double_divide (C double_divide V_3)) <->
% inverse(inverse(A double_divide V_3) double_divide B) double_divide C
% Current number of equations to process: 813
% Current number of ordered equations: 177
% Current number of rules: 597
% New rule produced :
% [617]
% inverse(inverse(A double_divide V_3) double_divide B) double_divide C <->
% inverse((A double_divide B) double_divide (C double_divide V_3))
% Current number of equations to process: 813
% Current number of ordered equations: 176
% Current number of rules: 598
% New rule produced :
% [618]
% inverse(B) <->
% inverse(inverse(inverse(A double_divide B)) double_divide ((A double_divide C) double_divide C))
% Current number of equations to process: 813
% Current number of ordered equations: 175
% Current number of rules: 599
% New rule produced :
% [619]
% inverse(inverse(inverse(A double_divide B)) double_divide ((A double_divide C) double_divide C))
% <-> inverse(B)
% Current number of equations to process: 813
% Current number of ordered equations: 174
% Current number of rules: 600
% New rule produced :
% [620]
% C <->
% inverse((inverse(inverse(A) double_divide (inverse(B) double_divide B)) double_divide A) double_divide C)
% Current number of equations to process: 818
% Current number of ordered equations: 173
% Current number of rules: 601
% New rule produced :
% [621]
% C <->
% inverse(inverse((inverse(A) double_divide A) double_divide (inverse(B) double_divide B)) double_divide C)
% Current number of equations to process: 818
% Current number of ordered equations: 172
% Current number of rules: 602
% New rule produced :
% [622]
% C <->
% inverse(inverse((inverse(A) double_divide A) double_divide ((inverse(B) double_divide B) double_divide C)))
% Current number of equations to process: 818
% Current number of ordered equations: 171
% Current number of rules: 603
% New rule produced :
% [623]
% inverse((inverse(inverse(A) double_divide (inverse(B) double_divide B)) double_divide A) double_divide C)
% <-> C
% Current number of equations to process: 818
% Current number of ordered equations: 170
% Current number of rules: 604
% New rule produced :
% [624]
% inverse(inverse((inverse(A) double_divide A) double_divide (inverse(B) double_divide B)) double_divide C)
% <-> C
% Current number of equations to process: 818
% Current number of ordered equations: 169
% Current number of rules: 605
% New rule produced :
% [625]
% inverse(inverse((inverse(A) double_divide A) double_divide ((inverse(B) double_divide B) double_divide C)))
% <-> C
% Current number of equations to process: 818
% Current number of ordered equations: 168
% Current number of rules: 606
% New rule produced :
% [626]
% B <->
% inverse(inverse((inverse(A) double_divide A) double_divide B) double_divide 
% (inverse(C) double_divide C))
% Current number of equations to process: 818
% Current number of ordered equations: 167
% Current number of rules: 607
% New rule produced :
% [627]
% B <->
% inverse(inverse((inverse(A) double_divide A) double_divide B)) double_divide 
% (inverse(C) double_divide C)
% Current number of equations to process: 818
% Current number of ordered equations: 166
% Current number of rules: 608
% New rule produced :
% [628]
% C <->
% inverse(((inverse(inverse(A)) double_divide (inverse(B) double_divide B)) double_divide A) double_divide C)
% Current number of equations to process: 818
% Current number of ordered equations: 165
% Current number of rules: 609
% New rule produced :
% [629]
% C <->
% inverse((inverse(inverse(A) double_divide A) double_divide (inverse(B) double_divide B)) double_divide C)
% Current number of equations to process: 818
% Current number of ordered equations: 164
% Current number of rules: 610
% New rule produced :
% [630]
% inverse(inverse((inverse(A) double_divide A) double_divide B) double_divide 
% (inverse(C) double_divide C)) <-> B
% Current number of equations to process: 818
% Current number of ordered equations: 163
% Current number of rules: 611
% New rule produced :
% [631]
% inverse(((inverse(inverse(A)) double_divide (inverse(B) double_divide B)) double_divide A) double_divide C)
% <-> C
% Current number of equations to process: 818
% Current number of ordered equations: 162
% Current number of rules: 612
% New rule produced :
% [632]
% inverse((inverse(inverse(A) double_divide A) double_divide (inverse(B) double_divide B)) double_divide C)
% <-> C
% Current number of equations to process: 818
% Current number of ordered equations: 161
% Current number of rules: 613
% New rule produced :
% [633]
% inverse(inverse((inverse(A) double_divide A) double_divide B)) double_divide 
% (inverse(C) double_divide C) <-> B
% Current number of equations to process: 818
% Current number of ordered equations: 160
% Current number of rules: 614
% New rule produced :
% [634]
% A <->
% inverse((inverse(A) double_divide (inverse(B) double_divide B)) double_divide 
% (inverse(C) double_divide C))
% Current number of equations to process: 818
% Current number of ordered equations: 159
% Current number of rules: 615
% New rule produced :
% [635]
% A <->
% inverse(A) double_divide (inverse(inverse(B) double_divide (inverse(C) double_divide C)) double_divide B)
% Current number of equations to process: 818
% Current number of ordered equations: 158
% Current number of rules: 616
% New rule produced :
% [636]
% C <->
% inverse((inverse(A) double_divide A) double_divide (inverse(B) double_divide B)) double_divide 
% inverse(C)
% Current number of equations to process: 818
% Current number of ordered equations: 157
% Current number of rules: 617
% New rule produced :
% [637]
% inverse((inverse(A) double_divide (inverse(B) double_divide B)) double_divide 
% (inverse(C) double_divide C)) <-> A
% Current number of equations to process: 818
% Current number of ordered equations: 156
% Current number of rules: 618
% New rule produced :
% [638]
% inverse(A) double_divide (inverse(inverse(B) double_divide (inverse(C) double_divide C)) double_divide B)
% <-> A
% Current number of equations to process: 818
% Current number of ordered equations: 155
% Current number of rules: 619
% New rule produced :
% [639]
% inverse((inverse(A) double_divide A) double_divide (inverse(B) double_divide B)) double_divide 
% inverse(C) <-> C
% Current number of equations to process: 818
% Current number of ordered equations: 154
% Current number of rules: 620
% New rule produced :
% [640]
% A <->
% inverse(A) double_divide ((inverse(inverse(B)) double_divide (inverse(C) double_divide C)) double_divide B)
% Current number of equations to process: 818
% Current number of ordered equations: 153
% Current number of rules: 621
% New rule produced :
% [641]
% A <->
% inverse(A) double_divide (inverse(inverse(B) double_divide B) double_divide 
% (inverse(C) double_divide C))
% Current number of equations to process: 818
% Current number of ordered equations: 152
% Current number of rules: 622
% New rule produced :
% [642]
% A <->
% inverse(inverse(A) double_divide (inverse(B) double_divide B)) double_divide 
% (inverse(C) double_divide C)
% Current number of equations to process: 818
% Current number of ordered equations: 151
% Current number of rules: 623
% New rule produced :
% [643]
% A <->
% (inverse(inverse(A)) double_divide (inverse(B) double_divide B)) double_divide 
% (inverse(C) double_divide C)
% Current number of equations to process: 818
% Current number of ordered equations: 150
% Current number of rules: 624
% New rule produced :
% [644]
% inverse(A) double_divide ((inverse(inverse(B)) double_divide (inverse(C) double_divide C)) double_divide B)
% <-> A
% Current number of equations to process: 818
% Current number of ordered equations: 149
% Current number of rules: 625
% New rule produced :
% [645]
% inverse(A) double_divide (inverse(inverse(B) double_divide B) double_divide 
% (inverse(C) double_divide C)) <-> A
% Current number of equations to process: 818
% Current number of ordered equations: 148
% Current number of rules: 626
% New rule produced :
% [646]
% inverse(inverse(A) double_divide (inverse(B) double_divide B)) double_divide 
% (inverse(C) double_divide C) <-> A
% Current number of equations to process: 818
% Current number of ordered equations: 147
% Current number of rules: 627
% New rule produced :
% [647]
% (inverse(inverse(A)) double_divide (inverse(B) double_divide B)) double_divide 
% (inverse(C) double_divide C) <-> A
% Current number of equations to process: 818
% Current number of ordered equations: 146
% Current number of rules: 628
% New rule produced :
% [648]
% inverse(inverse(A double_divide B) double_divide C) double_divide V_3 <->
% inverse(inverse(B double_divide C) double_divide V_3) double_divide A
% Current number of equations to process: 818
% Current number of ordered equations: 143
% Current number of rules: 629
% New rule produced :
% [649]
% inverse(inverse(A double_divide B) double_divide C) double_divide V_3 <->
% inverse(inverse(C double_divide V_3) double_divide B) double_divide A
% Current number of equations to process: 818
% Current number of ordered equations: 142
% Current number of rules: 630
% New rule produced :
% [650]
% inverse(inverse(B double_divide C) double_divide V_3) double_divide A <->
% inverse(inverse(A double_divide B) double_divide C) double_divide V_3
% Current number of equations to process: 818
% Current number of ordered equations: 139
% Current number of rules: 631
% New rule produced :
% [651]
% inverse(inverse(C double_divide V_3) double_divide B) double_divide A <->
% inverse(inverse(A double_divide B) double_divide C) double_divide V_3
% Current number of equations to process: 818
% Current number of ordered equations: 138
% Current number of rules: 632
% New rule produced :
% [652]
% C <->
% inverse((inverse(inverse(inverse(A double_divide B)) double_divide B) double_divide A) double_divide C)
% Current number of equations to process: 818
% Current number of ordered equations: 136
% Current number of rules: 633
% New rule produced :
% [653]
% inverse((inverse(inverse(inverse(A double_divide B)) double_divide B) double_divide A) double_divide C)
% <-> C
% Current number of equations to process: 818
% Current number of ordered equations: 134
% Current number of rules: 634
% New rule produced :
% [654]
% A <->
% inverse(A) double_divide (inverse(inverse(inverse(B double_divide C)) double_divide C) double_divide B)
% Current number of equations to process: 818
% Current number of ordered equations: 132
% Current number of rules: 635
% New rule produced :
% [655]
% inverse(A) double_divide (inverse(inverse(inverse(B double_divide C)) double_divide C) double_divide B)
% <-> A
% Current number of equations to process: 818
% Current number of ordered equations: 130
% Current number of rules: 636
% New rule produced :
% [656]
% inverse(inverse(A double_divide B) double_divide C) double_divide V_3 <->
% inverse(A double_divide V_3) double_divide inverse(B double_divide C)
% Current number of equations to process: 818
% Current number of ordered equations: 128
% Current number of rules: 637
% New rule produced :
% [657]
% inverse(inverse(A double_divide B) double_divide C) double_divide V_3 <->
% inverse(inverse(C double_divide V_3) double_divide A) double_divide B
% Current number of equations to process: 818
% Current number of ordered equations: 124
% Current number of rules: 638
% New rule produced :
% [658]
% inverse(A double_divide V_3) double_divide inverse(B double_divide C) <->
% inverse(inverse(A double_divide B) double_divide C) double_divide V_3
% Current number of equations to process: 818
% Current number of ordered equations: 122
% Current number of rules: 639
% New rule produced :
% [659]
% inverse(inverse(A double_divide B) double_divide C) double_divide V_3 <->
% inverse(A double_divide C) double_divide inverse(B double_divide V_3)
% Current number of equations to process: 818
% Current number of ordered equations: 121
% Current number of rules: 640
% New rule produced :
% [660]
% inverse(inverse(A double_divide B) double_divide C) double_divide V_3 <->
% inverse(inverse(A double_divide C) double_divide V_3) double_divide B
% Current number of equations to process: 818
% Current number of ordered equations: 120
% Current number of rules: 641
% New rule produced :
% [661]
% inverse(A double_divide C) double_divide inverse(B double_divide V_3) <->
% inverse(inverse(A double_divide B) double_divide C) double_divide V_3
% Current number of equations to process: 818
% Current number of ordered equations: 119
% Current number of rules: 642
% New rule produced :
% [662]
% inverse(inverse(A double_divide C) double_divide V_3) double_divide B <->
% inverse(inverse(A double_divide B) double_divide C) double_divide V_3
% Current number of equations to process: 818
% Current number of ordered equations: 118
% Current number of rules: 643
% New rule produced :
% [663]
% inverse(A double_divide B) double_divide (a2 double_divide inverse(a2)) <->
% a2 double_divide (inverse(A) double_divide (inverse(a2) double_divide B))
% Current number of equations to process: 818
% Current number of ordered equations: 117
% Current number of rules: 644
% New rule produced :
% [664]
% a2 double_divide (inverse(A) double_divide (inverse(a2) double_divide B)) <->
% inverse(A double_divide B) double_divide (a2 double_divide inverse(a2))
% Current number of equations to process: 818
% Current number of ordered equations: 116
% Current number of rules: 645
% New rule produced :
% [665]
% a2 double_divide (inverse(A) double_divide (inverse(a2) double_divide B)) <->
% inverse(a2) double_divide (inverse(a2) double_divide (A double_divide B))
% Current number of equations to process: 818
% Current number of ordered equations: 115
% Current number of rules: 646
% New rule produced :
% [666]
% inverse(a2) double_divide (inverse(a2) double_divide (A double_divide B)) <->
% a2 double_divide (inverse(A) double_divide (inverse(a2) double_divide B))
% Current number of equations to process: 818
% Current number of ordered equations: 114
% Current number of rules: 647
% New rule produced :
% [667]
% inverse(a2) double_divide (inverse(B) double_divide (a2 double_divide A)) <->
% (inverse(a2) double_divide (inverse(a2) double_divide A)) double_divide B
% Current number of equations to process: 818
% Current number of ordered equations: 113
% Current number of rules: 648
% New rule produced :
% [668]
% (inverse(a2) double_divide (inverse(a2) double_divide A)) double_divide B <->
% inverse(a2) double_divide (inverse(B) double_divide (a2 double_divide A))
% Current number of equations to process: 818
% Current number of ordered equations: 112
% Current number of rules: 649
% New rule produced :
% [669]
% B <->
% inverse((inverse(a2) double_divide (inverse(inverse(a2 double_divide A)) double_divide A)) double_divide B)
% Current number of equations to process: 818
% Current number of ordered equations: 111
% Current number of rules: 650
% New rule produced :
% [670]
% inverse((inverse(a2) double_divide (inverse(inverse(a2 double_divide A)) double_divide A)) double_divide B)
% <-> B
% Current number of equations to process: 818
% Current number of ordered equations: 110
% Current number of rules: 651
% New rule produced :
% [671]
% A <->
% inverse(A) double_divide (inverse(a2) double_divide (inverse(inverse(
% a2 double_divide B)) double_divide B))
% Current number of equations to process: 818
% Current number of ordered equations: 109
% Current number of rules: 652
% New rule produced :
% [672]
% inverse(A) double_divide (inverse(a2) double_divide (inverse(inverse(
% a2 double_divide B)) double_divide B))
% <-> A
% Current number of equations to process: 818
% Current number of ordered equations: 108
% Current number of rules: 653
% New rule produced :
% [673]
% a2 double_divide (inverse(a2) double_divide (inverse(A) double_divide B)) <->
% inverse(a2 double_divide B) double_divide (inverse(a2) double_divide A)
% Current number of equations to process: 818
% Current number of ordered equations: 107
% Current number of rules: 654
% New rule produced :
% [674]
% a2 double_divide (inverse(a2) double_divide (inverse(A) double_divide B)) <->
% inverse(A) double_divide (inverse(a2) double_divide (a2 double_divide B))
% Current number of equations to process: 818
% Current number of ordered equations: 106
% Current number of rules: 655
% New rule produced :
% [675]
% inverse(a2 double_divide B) double_divide (inverse(a2) double_divide A) <->
% a2 double_divide (inverse(a2) double_divide (inverse(A) double_divide B))
% Current number of equations to process: 818
% Current number of ordered equations: 105
% Current number of rules: 656
% New rule produced :
% [676]
% inverse(A) double_divide (inverse(a2) double_divide (a2 double_divide B)) <->
% a2 double_divide (inverse(a2) double_divide (inverse(A) double_divide B))
% Current number of equations to process: 818
% Current number of ordered equations: 104
% Current number of rules: 657
% New rule produced :
% [677]
% inverse(a2) double_divide (inverse(C) double_divide (A double_divide B)) <->
% (inverse(A) double_divide (inverse(a2) double_divide B)) double_divide C
% Rule
% [666]
% inverse(a2) double_divide (inverse(a2) double_divide (A double_divide B)) <->
% a2 double_divide (inverse(A) double_divide (inverse(a2) double_divide B))
% collapsed.
% Rule
% [667]
% inverse(a2) double_divide (inverse(B) double_divide (a2 double_divide A)) <->
% (inverse(a2) double_divide (inverse(a2) double_divide A)) double_divide B
% collapsed.
% Current number of equations to process: 818
% Current number of ordered equations: 103
% Current number of rules: 656
% New rule produced :
% [678]
% (inverse(A) double_divide (inverse(a2) double_divide B)) double_divide C <->
% inverse(a2) double_divide (inverse(C) double_divide (A double_divide B))
% Rule
% [665]
% a2 double_divide (inverse(A) double_divide (inverse(a2) double_divide B)) <->
% inverse(a2) double_divide (inverse(a2) double_divide (A double_divide B))
% collapsed.
% Rule
% [668]
% (inverse(a2) double_divide (inverse(a2) double_divide A)) double_divide B <->
% inverse(a2) double_divide (inverse(B) double_divide (a2 double_divide A))
% collapsed.
% Current number of equations to process: 818
% Current number of ordered equations: 102
% Current number of rules: 655
% New rule produced :
% [679]
% a2 double_divide ((B double_divide C) double_divide A) <->
% (inverse(a2) double_divide A) double_divide (inverse(B) double_divide 
% inverse(C))
% Current number of equations to process: 818
% Current number of ordered equations: 101
% Current number of rules: 656
% New rule produced :
% [680]
% (inverse(a2) double_divide A) double_divide (inverse(B) double_divide 
% inverse(C)) <->
% a2 double_divide ((B double_divide C) double_divide A)
% Current number of equations to process: 818
% Current number of ordered equations: 100
% Current number of rules: 657
% New rule produced :
% [681]
% (a2 double_divide C) double_divide (A double_divide B) <->
% inverse(a2) double_divide ((inverse(A) double_divide inverse(B)) double_divide C)
% Current number of equations to process: 818
% Current number of ordered equations: 99
% Current number of rules: 658
% New rule produced :
% [682]
% inverse(a2) double_divide ((inverse(A) double_divide inverse(B)) double_divide C)
% <-> (a2 double_divide C) double_divide (A double_divide B)
% Current number of equations to process: 818
% Current number of ordered equations: 98
% Current number of rules: 659
% New rule produced :
% [683]
% a2 double_divide (a2 double_divide A) <->
% inverse(A) double_divide (a2 double_divide inverse(a2 double_divide (a2 double_divide a2)))
% Current number of equations to process: 818
% Current number of ordered equations: 97
% Current number of rules: 660
% New rule produced :
% [684]
% inverse(A) double_divide (a2 double_divide inverse(a2 double_divide (a2 double_divide a2)))
% <-> a2 double_divide (a2 double_divide A)
% Current number of equations to process: 818
% Current number of ordered equations: 96
% Current number of rules: 661
% New rule produced :
% [685]
% (a2 double_divide A) double_divide A <->
% inverse(a2) double_divide (a2 double_divide inverse(a2 double_divide 
% (a2 double_divide a2)))
% Current number of equations to process: 818
% Current number of ordered equations: 95
% Current number of rules: 662
% New rule produced :
% [686]
% inverse(a2) double_divide (a2 double_divide inverse(a2 double_divide 
% (a2 double_divide a2)))
% <-> (a2 double_divide A) double_divide A
% Current number of equations to process: 818
% Current number of ordered equations: 94
% Current number of rules: 663
% New rule produced :
% [687]
% inverse(A double_divide B) double_divide inverse(B) <->
% (a2 double_divide inverse(a2 double_divide (a2 double_divide a2))) double_divide A
% Current number of equations to process: 818
% Current number of ordered equations: 93
% Current number of rules: 664
% New rule produced :
% [688]
% inverse(inverse(B) double_divide A) double_divide B <->
% (a2 double_divide inverse(a2 double_divide (a2 double_divide a2))) double_divide A
% Current number of equations to process: 818
% Current number of ordered equations: 91
% Current number of rules: 665
% New rule produced :
% [689]
% (a2 double_divide inverse(a2 double_divide (a2 double_divide a2))) double_divide A
% <-> inverse(A double_divide B) double_divide inverse(B)
% Current number of equations to process: 818
% Current number of ordered equations: 90
% Current number of rules: 666
% New rule produced :
% [690]
% (a2 double_divide inverse(a2 double_divide (a2 double_divide a2))) double_divide A
% <-> inverse(inverse(B) double_divide A) double_divide B
% Current number of equations to process: 818
% Current number of ordered equations: 88
% Current number of rules: 667
% New rule produced :
% [691]
% (A double_divide B) double_divide C <->
% inverse(C double_divide V_3) double_divide (inverse(B double_divide V_3) double_divide A)
% Current number of equations to process: 818
% Current number of ordered equations: 87
% Current number of rules: 668
% New rule produced :
% [692]
% (A double_divide B) double_divide C <->
% inverse((inverse(B double_divide V_3) double_divide A) double_divide C) double_divide V_3
% Current number of equations to process: 818
% Current number of ordered equations: 86
% Current number of rules: 669
% New rule produced :
% [693]
% inverse(C double_divide V_3) double_divide (inverse(B double_divide V_3) double_divide A)
% <-> (A double_divide B) double_divide C
% Current number of equations to process: 818
% Current number of ordered equations: 85
% Current number of rules: 670
% New rule produced :
% [694]
% inverse((inverse(B double_divide V_3) double_divide A) double_divide C) double_divide V_3
% <-> (A double_divide B) double_divide C
% Current number of equations to process: 818
% Current number of ordered equations: 84
% Current number of rules: 671
% New rule produced :
% [695]
% inverse((a2 double_divide inverse(a2 double_divide (a2 double_divide a2))) double_divide A)
% <-> (A double_divide B) double_divide B
% Current number of equations to process: 818
% Current number of ordered equations: 83
% Current number of rules: 672
% New rule produced :
% [696]
% (A double_divide B) double_divide B <->
% inverse((a2 double_divide inverse(a2 double_divide (a2 double_divide a2))) double_divide A)
% Current number of equations to process: 818
% Current number of ordered equations: 82
% Current number of rules: 673
% New rule produced :
% [697]
% inverse((inverse(A double_divide B) double_divide C) double_divide A) <->
% inverse((inverse(C double_divide V_3) double_divide B) double_divide V_3)
% Current number of equations to process: 818
% Current number of ordered equations: 80
% Current number of rules: 674
% New rule produced :
% [698]
% inverse((inverse(A double_divide B) double_divide C) double_divide A) <->
% inverse((inverse(B double_divide V_3) double_divide C) double_divide V_3)
% Current number of equations to process: 818
% Current number of ordered equations: 78
% Current number of rules: 675
% New rule produced :
% [699]
% inverse((inverse(B double_divide V_3) double_divide A) double_divide V_3) <->
% inverse(A double_divide B) double_divide (inverse(C) double_divide C)
% Current number of equations to process: 818
% Current number of ordered equations: 77
% Current number of rules: 676
% New rule produced :
% [700]
% inverse(A double_divide B) double_divide (inverse(C) double_divide C) <->
% inverse((inverse(B double_divide V_3) double_divide A) double_divide V_3)
% Current number of equations to process: 818
% Current number of ordered equations: 76
% Current number of rules: 677
% New rule produced :
% [701]
% B <->
% inverse(inverse((inverse(A double_divide B) double_divide (inverse(C) double_divide C)) double_divide A))
% Current number of equations to process: 818
% Current number of ordered equations: 75
% Current number of rules: 678
% New rule produced :
% [702]
% C <->
% inverse(inverse((inverse(inverse(A) double_divide B) double_divide A) double_divide B) double_divide C)
% Current number of equations to process: 818
% Current number of ordered equations: 74
% Current number of rules: 679
% New rule produced :
% [703]
% C <->
% inverse(inverse((inverse(A double_divide B) double_divide inverse(A)) double_divide B) double_divide C)
% Current number of equations to process: 818
% Current number of ordered equations: 73
% Current number of rules: 680
% New rule produced :
% [704]
% C <->
% inverse(inverse((inverse((inverse(A) double_divide A) double_divide B) double_divide C) double_divide B))
% Current number of equations to process: 818
% Current number of ordered equations: 72
% Current number of rules: 681
% New rule produced :
% [705]
% inverse(inverse((inverse(A double_divide B) double_divide (inverse(C) double_divide C)) double_divide A))
% <-> B
% Current number of equations to process: 818
% Current number of ordered equations: 71
% Current number of rules: 682
% New rule produced :
% [706]
% inverse(inverse((inverse(inverse(A) double_divide B) double_divide A) double_divide B) double_divide C)
% <-> C
% Current number of equations to process: 818
% Current number of ordered equations: 70
% Current number of rules: 683
% New rule produced :
% [707]
% inverse(inverse((inverse(A double_divide B) double_divide inverse(A)) double_divide B) double_divide C)
% <-> C
% Current number of equations to process: 818
% Current number of ordered equations: 69
% Current number of rules: 684
% New rule produced :
% [708]
% inverse(inverse((inverse((inverse(A) double_divide A) double_divide B) double_divide C) double_divide B))
% <-> C
% Current number of equations to process: 818
% Current number of ordered equations: 68
% Current number of rules: 685
% New rule produced :
% [709]
% A <->
% inverse((inverse(inverse(A) double_divide B) double_divide (inverse(C) double_divide C)) double_divide B)
% Current number of equations to process: 818
% Current number of ordered equations: 67
% Current number of rules: 686
% New rule produced :
% [710]
% A <->
% inverse((inverse((inverse(B) double_divide B) double_divide C) double_divide 
% inverse(A)) double_divide C)
% Current number of equations to process: 818
% Current number of ordered equations: 66
% Current number of rules: 687
% New rule produced :
% [711]
% C <->
% inverse((inverse(A double_divide B) double_divide inverse(B)) double_divide A) double_divide 
% inverse(C)
% Current number of equations to process: 818
% Current number of ordered equations: 65
% Current number of rules: 688
% New rule produced :
% [712]
% C <->
% inverse((inverse(inverse(A) double_divide B) double_divide A) double_divide B) double_divide 
% inverse(C)
% Current number of equations to process: 818
% Current number of ordered equations: 64
% Current number of rules: 689
% New rule produced :
% [713]
% inverse((inverse(inverse(A) double_divide B) double_divide (inverse(C) double_divide C)) double_divide B)
% <-> A
% Current number of equations to process: 818
% Current number of ordered equations: 63
% Current number of rules: 690
% New rule produced :
% [714]
% inverse((inverse((inverse(B) double_divide B) double_divide C) double_divide 
% inverse(A)) double_divide C) <-> A
% Current number of equations to process: 818
% Current number of ordered equations: 62
% Current number of rules: 691
% New rule produced :
% [715]
% inverse((inverse(A double_divide B) double_divide inverse(B)) double_divide A) double_divide 
% inverse(C) <-> C
% Current number of equations to process: 818
% Current number of ordered equations: 61
% Current number of rules: 692
% New rule produced :
% [716]
% inverse((inverse(inverse(A) double_divide B) double_divide A) double_divide B) double_divide 
% inverse(C) <-> C
% Current number of equations to process: 818
% Current number of ordered equations: 60
% Current number of rules: 693
% New rule produced :
% [717]
% inverse((inverse(A) double_divide V_3) double_divide C) double_divide V_3 <->
% inverse((inverse(A) double_divide B) double_divide C) double_divide B
% Current number of equations to process: 818
% Current number of ordered equations: 58
% Current number of rules: 694
% New rule produced :
% [718]
% inverse((inverse(C) double_divide V_3) double_divide A) double_divide V_3 <->
% inverse((inverse(A) double_divide B) double_divide C) double_divide B
% Current number of equations to process: 818
% Current number of ordered equations: 56
% Current number of rules: 695
% New rule produced :
% [719]
% inverse((inverse(A) double_divide A) double_divide (B double_divide C)) <->
% inverse((inverse(C) double_divide V_3) double_divide B) double_divide V_3
% Current number of equations to process: 818
% Current number of ordered equations: 55
% Current number of rules: 696
% New rule produced :
% [720]
% inverse((inverse(C) double_divide V_3) double_divide B) double_divide V_3 <->
% inverse((inverse(A) double_divide A) double_divide (B double_divide C))
% Current number of equations to process: 818
% Current number of ordered equations: 54
% Current number of rules: 697
% New rule produced :
% [721]
% inverse((inverse(B) double_divide V_3) double_divide A) double_divide V_3 <->
% inverse(A double_divide B) double_divide (inverse(C) double_divide C)
% Current number of equations to process: 818
% Current number of ordered equations: 53
% Current number of rules: 698
% New rule produced :
% [722]
% inverse(A double_divide B) double_divide (inverse(C) double_divide C) <->
% inverse((inverse(B) double_divide V_3) double_divide A) double_divide V_3
% Current number of equations to process: 818
% Current number of ordered equations: 52
% Current number of rules: 699
% New rule produced :
% [723]
% B <->
% inverse(inverse((inverse(A) double_divide A) double_divide (inverse(B) double_divide C)) double_divide C)
% Current number of equations to process: 818
% Current number of ordered equations: 51
% Current number of rules: 700
% New rule produced :
% [724]
% C <->
% inverse((inverse((inverse(inverse(A)) double_divide B) double_divide A) double_divide B) double_divide C)
% Current number of equations to process: 818
% Current number of ordered equations: 50
% Current number of rules: 701
% New rule produced :
% [725]
% C <->
% inverse(inverse((inverse(inverse(A) double_divide A) double_divide B) double_divide C) double_divide B)
% Current number of equations to process: 818
% Current number of ordered equations: 49
% Current number of rules: 702
% New rule produced :
% [726]
% inverse((inverse((inverse(inverse(A)) double_divide B) double_divide A) double_divide B) double_divide C)
% <-> C
% Current number of equations to process: 818
% Current number of ordered equations: 48
% Current number of rules: 703
% New rule produced :
% [727]
% inverse(inverse((inverse(inverse(A) double_divide A) double_divide B) double_divide C) double_divide B)
% <-> C
% Current number of equations to process: 818
% Current number of ordered equations: 47
% Current number of rules: 704
% New rule produced :
% [728]
% inverse(inverse((inverse(A) double_divide A) double_divide (inverse(B) double_divide C)) double_divide C)
% <-> B
% Current number of equations to process: 818
% Current number of ordered equations: 46
% Current number of rules: 705
% New rule produced :
% [729]
% A <->
% inverse((inverse(inverse(A)) double_divide B) double_divide (inverse(C) double_divide C)) double_divide B
% Current number of equations to process: 818
% Current number of ordered equations: 45
% Current number of rules: 706
% New rule produced :
% [730]
% A <->
% inverse(inverse(A) double_divide (inverse(inverse(B) double_divide B) double_divide C)) double_divide C
% Current number of equations to process: 818
% Current number of ordered equations: 44
% Current number of rules: 707
% New rule produced :
% [731]
% A <->
% inverse(A) double_divide (inverse((inverse(inverse(B)) double_divide C) double_divide B) double_divide C)
% Current number of equations to process: 818
% Current number of ordered equations: 43
% Current number of rules: 708
% New rule produced :
% [732]
% inverse((inverse(inverse(A)) double_divide B) double_divide (inverse(C) double_divide C)) double_divide B
% <-> A
% Current number of equations to process: 818
% Current number of ordered equations: 42
% Current number of rules: 709
% New rule produced :
% [733]
% inverse(inverse(A) double_divide (inverse(inverse(B) double_divide B) double_divide C)) double_divide C
% <-> A
% Current number of equations to process: 818
% Current number of ordered equations: 41
% Current number of rules: 710
% New rule produced :
% [734]
% inverse(A) double_divide (inverse((inverse(inverse(B)) double_divide C) double_divide B) double_divide C)
% <-> A
% Current number of equations to process: 818
% Current number of ordered equations: 40
% Current number of rules: 711
% New rule produced :
% [735]
% inverse((inverse(A double_divide B) double_divide C) double_divide A) <->
% inverse((inverse(C) double_divide V_3) double_divide B) double_divide V_3
% Current number of equations to process: 818
% Current number of ordered equations: 39
% Current number of rules: 712
% New rule produced :
% [736]
% inverse((inverse(A double_divide B) double_divide C) double_divide A) <->
% inverse((inverse(B) double_divide V_3) double_divide C) double_divide V_3
% Current number of equations to process: 818
% Current number of ordered equations: 38
% Current number of rules: 713
% New rule produced :
% [737]
% inverse((inverse(C) double_divide V_3) double_divide B) double_divide V_3 <->
% inverse((inverse(A double_divide B) double_divide C) double_divide A)
% Current number of equations to process: 818
% Current number of ordered equations: 37
% Current number of rules: 714
% New rule produced :
% [738]
% inverse((inverse(B) double_divide V_3) double_divide C) double_divide V_3 <->
% inverse((inverse(A double_divide B) double_divide C) double_divide A)
% Current number of equations to process: 818
% Current number of ordered equations: 36
% Current number of rules: 715
% New rule produced :
% [739]
% (B double_divide C) double_divide V_3 <->
% inverse((inverse(A double_divide B) double_divide C) double_divide V_3) double_divide A
% Current number of equations to process: 818
% Current number of ordered equations: 35
% Current number of rules: 716
% New rule produced :
% [740]
% inverse((inverse(A double_divide B) double_divide C) double_divide V_3) double_divide A
% <-> (B double_divide C) double_divide V_3
% Current number of equations to process: 818
% Current number of ordered equations: 34
% Current number of rules: 717
% New rule produced :
% [741]
% inverse((inverse(A double_divide B) double_divide C) double_divide V_3) <->
% inverse((inverse(B) double_divide V_3) double_divide A) double_divide C
% Current number of equations to process: 818
% Current number of ordered equations: 33
% Current number of rules: 718
% New rule produced :
% [742]
% inverse((inverse(B) double_divide V_3) double_divide A) double_divide C <->
% inverse((inverse(A double_divide B) double_divide C) double_divide V_3)
% Current number of equations to process: 818
% Current number of ordered equations: 32
% Current number of rules: 719
% New rule produced :
% [743]
% (A double_divide B) double_divide C <->
% (inverse((inverse(V_3) double_divide C) double_divide B) double_divide A) double_divide V_3
% Current number of equations to process: 818
% Current number of ordered equations: 31
% Current number of rules: 720
% New rule produced :
% [744]
% (inverse((inverse(V_3) double_divide C) double_divide B) double_divide A) double_divide V_3
% <-> (A double_divide B) double_divide C
% Current number of equations to process: 818
% Current number of ordered equations: 30
% Current number of rules: 721
% New rule produced :
% [745]
% a2 double_divide inverse(inverse(inverse(A) double_divide A) double_divide B)
% <-> (a2 double_divide (a2 double_divide a2)) double_divide B
% Current number of equations to process: 818
% Current number of ordered equations: 29
% Current number of rules: 722
% New rule produced :
% [746]
% (a2 double_divide (a2 double_divide a2)) double_divide B <->
% a2 double_divide inverse(inverse(inverse(A) double_divide A) double_divide B)
% Current number of equations to process: 818
% Current number of ordered equations: 28
% Current number of rules: 723
% New rule produced :
% [747]
% inverse(inverse(A) double_divide (B double_divide C)) double_divide C <->
% inverse(inverse(A) double_divide (B double_divide V_3)) double_divide V_3
% Current number of equations to process: 818
% Current number of ordered equations: 26
% Current number of rules: 724
% New rule produced :
% [748]
% inverse(inverse(A) double_divide (B double_divide C)) double_divide C <->
% inverse(inverse(B) double_divide (A double_divide V_3)) double_divide V_3
% Current number of equations to process: 818
% Current number of ordered equations: 24
% Current number of rules: 725
% New rule produced :
% [749]
% inverse(inverse(A double_divide B)) <->
% inverse(inverse(inverse(B)) double_divide (inverse(A) double_divide C)) double_divide C
% Current number of equations to process: 818
% Current number of ordered equations: 23
% Current number of rules: 726
% New rule produced :
% [750]
% inverse(inverse(A double_divide B)) <->
% inverse(inverse(inverse(A)) double_divide (inverse(B) double_divide C)) double_divide C
% Current number of equations to process: 818
% Current number of ordered equations: 22
% Current number of rules: 727
% New rule produced :
% [751]
% inverse(inverse(inverse(B)) double_divide (inverse(A) double_divide C)) double_divide C
% <-> inverse(inverse(A double_divide B))
% Current number of equations to process: 818
% Current number of ordered equations: 21
% Current number of rules: 728
% New rule produced :
% [752]
% inverse(inverse(inverse(A)) double_divide (inverse(B) double_divide C)) double_divide C
% <-> inverse(inverse(A double_divide B))
% Current number of equations to process: 818
% Current number of ordered equations: 20
% Current number of rules: 729
% New rule produced :
% [753]
% inverse(inverse(A double_divide B)) <->
% inverse(inverse(inverse(B) double_divide (A double_divide C))) double_divide 
% inverse(C)
% Current number of equations to process: 818
% Current number of ordered equations: 19
% Current number of rules: 730
% New rule produced :
% [754]
% inverse(inverse(inverse(B) double_divide (A double_divide C))) double_divide 
% inverse(C) <-> inverse(inverse(A double_divide B))
% Current number of equations to process: 818
% Current number of ordered equations: 18
% Current number of rules: 731
% New rule produced :
% [755]
% inverse(inverse(B) double_divide C) <->
% inverse(inverse(A double_divide B) double_divide inverse(C)) double_divide 
% inverse(A)
% Current number of equations to process: 818
% Current number of ordered equations: 16
% Current number of rules: 732
% New rule produced :
% [756]
% inverse(inverse(A double_divide B) double_divide inverse(C)) double_divide 
% inverse(B) <-> inverse(inverse(A) double_divide C)
% Current number of equations to process: 818
% Current number of ordered equations: 14
% Current number of rules: 733
% New rule produced :
% [757]
% (a2 double_divide C) double_divide (inverse(B) double_divide (A double_divide C))
% <-> inverse(a2) double_divide inverse(A double_divide B)
% Current number of equations to process: 818
% Current number of ordered equations: 13
% Current number of rules: 734
% New rule produced :
% [758]
% inverse(a2) double_divide inverse(A double_divide B) <->
% (a2 double_divide C) double_divide (inverse(B) double_divide (A double_divide C))
% Current number of equations to process: 818
% Current number of ordered equations: 12
% Current number of rules: 735
% New rule produced :
% [759]
% A <->
% inverse(inverse((inverse(A) double_divide inverse(B)) double_divide C) double_divide 
% (B double_divide C))
% Current number of equations to process: 818
% Current number of ordered equations: 10
% Current number of rules: 736
% New rule produced :
% [760]
% B <->
% inverse((inverse(inverse(A double_divide B)) double_divide inverse(C)) double_divide 
% (A double_divide C))
% Current number of equations to process: 818
% Current number of ordered equations: 9
% Current number of rules: 737
% New rule produced :
% [761]
% B <->
% inverse(inverse(inverse(A double_divide B) double_divide C)) double_divide 
% inverse(A double_divide C)
% Current number of equations to process: 818
% Current number of ordered equations: 8
% Current number of rules: 738
% New rule produced :
% [762]
% inverse(inverse((inverse(A) double_divide inverse(B)) double_divide C) double_divide 
% (A double_divide C)) <-> B
% Current number of equations to process: 818
% Current number of ordered equations: 6
% Current number of rules: 739
% New rule produced :
% [763]
% inverse((inverse(inverse(A double_divide B)) double_divide inverse(C)) double_divide 
% (A double_divide C)) <-> B
% Current number of equations to process: 818
% Current number of ordered equations: 5
% Current number of rules: 740
% New rule produced :
% [764]
% inverse(inverse(inverse(A double_divide B) double_divide C)) double_divide 
% inverse(A double_divide C) <-> B
% Current number of equations to process: 818
% Current number of ordered equations: 4
% Current number of rules: 741
% New rule produced :
% [765]
% B <->
% inverse(inverse(inverse((A double_divide B) double_divide C)) double_divide 
% (inverse(C) double_divide A))
% Current number of equations to process: 818
% Current number of ordered equations: 3
% Current number of rules: 742
% New rule produced :
% [766]
% inverse(inverse(inverse((A double_divide B) double_divide C)) double_divide 
% (inverse(C) double_divide A)) <-> B
% Current number of equations to process: 818
% Current number of ordered equations: 2
% Current number of rules: 743
% New rule produced :
% [767]
% a2 <->
% inverse(inverse(inverse(inverse(A) double_divide A)) double_divide (a2 double_divide 
% (a2 double_divide a2)))
% Current number of equations to process: 818
% Current number of ordered equations: 1
% Current number of rules: 744
% New rule produced :
% [768]
% inverse(inverse(inverse(inverse(A) double_divide A)) double_divide (a2 double_divide 
% (a2 double_divide a2)))
% <-> a2
% Current number of equations to process: 818
% Current number of ordered equations: 0
% Current number of rules: 745
% New rule produced :
% [769]
% A multiply B <->
% (a2 double_divide inverse(a2 double_divide (a2 double_divide a2))) double_divide 
% (A double_divide B)
% Current number of equations to process: 817
% Current number of ordered equations: 1
% Current number of rules: 746
% New rule produced :
% [770]
% (a2 double_divide inverse(a2 double_divide (a2 double_divide a2))) double_divide 
% (A double_divide B) <-> A multiply B
% Current number of equations to process: 817
% Current number of ordered equations: 0
% Current number of rules: 747
% New rule produced :
% [771]
% inverse(B double_divide C) <->
% inverse(inverse(A) double_divide A) double_divide (B double_divide C)
% Current number of equations to process: 881
% Current number of ordered equations: 1
% Current number of rules: 748
% New rule produced :
% [772]
% inverse(inverse(A) double_divide A) double_divide (B double_divide C) <->
% inverse(B double_divide C)
% Current number of equations to process: 881
% Current number of ordered equations: 0
% Current number of rules: 749
% New rule produced :
% [773]
% a2 double_divide inverse(inverse(A double_divide B)) <->
% (a2 double_divide (a2 double_divide a2)) double_divide (A double_divide B)
% Current number of equations to process: 890
% Current number of ordered equations: 1
% Current number of rules: 750
% New rule produced :
% [774]
% (a2 double_divide (a2 double_divide a2)) double_divide (A double_divide B)
% <-> a2 double_divide inverse(inverse(A double_divide B))
% Current number of equations to process: 890
% Current number of ordered equations: 0
% Current number of rules: 751
% New rule produced :
% [775]
% (a2 double_divide (a2 multiply (a2 double_divide a2))) double_divide 
% (A double_divide B) <-> inverse(A double_divide B)
% Current number of equations to process: 889
% Current number of ordered equations: 1
% Current number of rules: 752
% New rule produced :
% [776]
% inverse(A double_divide B) <->
% (a2 double_divide (a2 multiply (a2 double_divide a2))) double_divide 
% (A double_divide B)
% Current number of equations to process: 889
% Current number of ordered equations: 0
% Current number of rules: 753
% New rule produced :
% [777]
% (eq)(A,inverse((a2 double_divide inverse(a2 double_divide (a2 double_divide a2))) double_divide A))
% -> (true)
% Current number of equations to process: 901
% Current number of ordered equations: 0
% Current number of rules: 754
% New rule produced : [778] (eq)(A,inverse(inverse(A))) -> (true)
% Current number of equations to process: 913
% Current number of ordered equations: 0
% Current number of rules: 755
% New rule produced :
% [779] (eq)(inverse(inverse(A double_divide B)) double_divide A,B) -> (true)
% Current number of equations to process: 950
% Current number of ordered equations: 1
% Current number of rules: 756
% New rule produced :
% [780] (eq)(inverse(inverse((A double_divide B) double_divide A)),B) -> (true)
% Current number of equations to process: 950
% Current number of ordered equations: 0
% Current number of rules: 757
% New rule produced :
% [781] (eq)((inverse(A) double_divide A) double_divide B,inverse(B)) -> (true)
% Current number of equations to process: 949
% Current number of ordered equations: 0
% Current number of rules: 758
% New rule produced :
% [782]
% (eq)(inverse(A) double_divide (a2 double_divide inverse(a2)),A) -> (true)
% Current number of equations to process: 948
% Current number of ordered equations: 0
% Current number of rules: 759
% New rule produced :
% [783]
% (eq)(inverse(a2) double_divide (inverse(A) double_divide A),a2) -> (true)
% Current number of equations to process: 947
% Current number of ordered equations: 0
% Current number of rules: 760
% New rule produced :
% [784] (eq)(inverse(inverse(inverse(inverse(A)))),A) -> (true)
% Current number of equations to process: 955
% Current number of ordered equations: 0
% Current number of rules: 761
% New rule produced :
% [785] (eq)(inverse(A multiply B),A double_divide B) -> (true)
% Current number of equations to process: 957
% Current number of ordered equations: 0
% Current number of rules: 762
% New rule produced :
% [786] A <-> inverse(inverse(inverse(inverse(inverse(inverse(A))))))
% Current number of equations to process: 992
% Current number of ordered equations: 1
% Current number of rules: 763
% New rule produced :
% [787] inverse(inverse(inverse(inverse(inverse(inverse(A)))))) <-> A
% Current number of equations to process: 992
% Current number of ordered equations: 0
% Current number of rules: 764
% New rule produced :
% [788]
% inverse(A double_divide B) <->
% inverse(inverse(inverse(inverse(A multiply B))))
% Current number of equations to process: 1026
% Current number of ordered equations: 1
% Current number of rules: 765
% New rule produced :
% [789]
% inverse(inverse(inverse(inverse(A multiply B)))) <->
% inverse(A double_divide B)
% Current number of equations to process: 1026
% Current number of ordered equations: 0
% Current number of rules: 766
% New rule produced :
% [790]
% inverse(inverse(inverse(inverse(inverse(A double_divide B))))) <->
% A multiply B
% Current number of equations to process: 1025
% Current number of ordered equations: 1
% Current number of rules: 767
% New rule produced :
% [791]
% A multiply B <->
% inverse(inverse(inverse(inverse(inverse(A double_divide B)))))
% Current number of equations to process: 1025
% Current number of ordered equations: 0
% Current number of rules: 768
% New rule produced :
% [792]
% inverse(inverse(inverse(inverse(B)))) <->
% inverse((inverse(A) double_divide A) double_divide B)
% Current number of equations to process: 1024
% Current number of ordered equations: 1
% Current number of rules: 769
% New rule produced :
% [793]
% inverse((inverse(A) double_divide A) double_divide B) <->
% inverse(inverse(inverse(inverse(B))))
% Current number of equations to process: 1024
% Current number of ordered equations: 0
% Current number of rules: 770
% New rule produced :
% [794]
% inverse(inverse(inverse(inverse(A)))) <->
% inverse(A) double_divide (inverse(B) double_divide B)
% Current number of equations to process: 1023
% Current number of ordered equations: 1
% Current number of rules: 771
% New rule produced :
% [795]
% inverse(A) double_divide (inverse(B) double_divide B) <->
% inverse(inverse(inverse(inverse(A))))
% Current number of equations to process: 1023
% Current number of ordered equations: 0
% Current number of rules: 772
% New rule produced :
% [796] inverse(inverse(inverse(A multiply B))) <-> A double_divide B
% Rule
% [789]
% inverse(inverse(inverse(inverse(A multiply B)))) <->
% inverse(A double_divide B) collapsed.
% Current number of equations to process: 1047
% Current number of ordered equations: 1
% Current number of rules: 772
% New rule produced :
% [797] A double_divide B <-> inverse(inverse(inverse(A multiply B)))
% Rule
% [788]
% inverse(A double_divide B) <->
% inverse(inverse(inverse(inverse(A multiply B)))) collapsed.
% Current number of equations to process: 1047
% Current number of ordered equations: 0
% Current number of rules: 772
% New rule produced :
% [798]
% inverse(inverse(inverse(A))) <-> (inverse(B) double_divide B) double_divide A
% Rule
% [792]
% inverse(inverse(inverse(inverse(B)))) <->
% inverse((inverse(A) double_divide A) double_divide B) collapsed.
% Rule
% [794]
% inverse(inverse(inverse(inverse(A)))) <->
% inverse(A) double_divide (inverse(B) double_divide B) collapsed.
% Current number of equations to process: 1049
% Current number of ordered equations: 1
% Current number of rules: 771
% New rule produced :
% [799]
% (inverse(B) double_divide B) double_divide A <-> inverse(inverse(inverse(A)))
% Rule
% [793]
% inverse((inverse(A) double_divide A) double_divide B) <->
% inverse(inverse(inverse(inverse(B)))) collapsed.
% Rule
% [795]
% inverse(A) double_divide (inverse(B) double_divide B) <->
% inverse(inverse(inverse(inverse(A)))) collapsed.
% Current number of equations to process: 1049
% Current number of ordered equations: 0
% Current number of rules: 770
% New rule produced :
% [800]
% inverse(inverse(inverse(inverse(B))) double_divide A) <->
% inverse(A) double_divide B
% Current number of equations to process: 1054
% Current number of ordered equations: 1
% Current number of rules: 771
% New rule produced :
% [801]
% inverse(A) double_divide B <->
% inverse(inverse(inverse(inverse(B))) double_divide A)
% Current number of equations to process: 1054
% Current number of ordered equations: 0
% Current number of rules: 772
% New rule produced :
% [802]
% (eq)(inverse(inverse(inverse(inverse(inverse(inverse(A)))))),A) -> (true)
% Current number of equations to process: 1053
% Current number of ordered equations: 0
% Current number of rules: 773
% New rule produced :
% [803]
% inverse(inverse(inverse(inverse(A) double_divide inverse(B)))) <->
% A double_divide B
% Current number of equations to process: 1052
% Current number of ordered equations: 1
% Current number of rules: 774
% New rule produced :
% [804]
% A double_divide B <->
% inverse(inverse(inverse(inverse(A) double_divide inverse(B))))
% Current number of equations to process: 1052
% Current number of ordered equations: 0
% Current number of rules: 775
% New rule produced :
% [805]
% inverse((B multiply C) double_divide A) <->
% inverse(A) double_divide (B double_divide C)
% Current number of equations to process: 1064
% Current number of ordered equations: 1
% Current number of rules: 776
% New rule produced :
% [806]
% inverse(A) double_divide (B double_divide C) <->
% inverse((B multiply C) double_divide A)
% Current number of equations to process: 1064
% Current number of ordered equations: 0
% Current number of rules: 777
% New rule produced :
% [807]
% A <->
% inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(A))))))))
% Current number of equations to process: 1063
% Current number of ordered equations: 1
% Current number of rules: 778
% New rule produced :
% [808]
% inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(A)))))))) <->
% A
% Current number of equations to process: 1063
% Current number of ordered equations: 0
% Current number of rules: 779
% New rule produced :
% [809]
% B multiply C <->
% (inverse(A) double_divide A) double_divide (B double_divide C)
% Current number of equations to process: 1062
% Current number of ordered equations: 1
% Current number of rules: 780
% New rule produced :
% [810]
% (inverse(A) double_divide A) double_divide (B double_divide C) <->
% B multiply C
% Current number of equations to process: 1062
% Current number of ordered equations: 0
% Current number of rules: 781
% New rule produced :
% [811] inverse(inverse(A multiply B)) <-> inverse(A) double_divide inverse(B)
% Current number of equations to process: 1084
% Current number of ordered equations: 1
% Current number of rules: 782
% New rule produced :
% [812] inverse(A) double_divide inverse(B) <-> inverse(inverse(A multiply B))
% Current number of equations to process: 1084
% Current number of ordered equations: 0
% Current number of rules: 783
% New rule produced :
% [813] inverse(A double_divide B) <-> inverse(inverse(A) multiply inverse(B))
% Current number of equations to process: 1099
% Current number of ordered equations: 1
% Current number of rules: 784
% New rule produced :
% [814] inverse(inverse(A) multiply inverse(B)) <-> inverse(A double_divide B)
% Current number of equations to process: 1099
% Current number of ordered equations: 0
% Current number of rules: 785
% New rule produced :
% [815] (eq)(inverse(A double_divide B),A multiply B) -> (true)
% Current number of equations to process: 1102
% Current number of ordered equations: 0
% Current number of rules: 786
% New rule produced :
% [816] (eq)(A,inverse((A double_divide B) multiply B)) -> (true)
% Current number of equations to process: 1100
% Current number of ordered equations: 1
% Current number of rules: 787
% New rule produced :
% [817] (eq)(A,inverse(A multiply B) double_divide B) -> (true)
% Current number of equations to process: 1100
% Current number of ordered equations: 0
% Current number of rules: 788
% New rule produced :
% [818] B <-> inverse(inverse((inverse(A) double_divide A) multiply B))
% Current number of equations to process: 1098
% Current number of ordered equations: 3
% Current number of rules: 789
% New rule produced :
% [819] B <-> inverse(inverse(inverse(A) multiply A) double_divide B)
% Current number of equations to process: 1098
% Current number of ordered equations: 2
% Current number of rules: 790
% New rule produced :
% [820] inverse(inverse((inverse(A) double_divide A) multiply B)) <-> B
% Current number of equations to process: 1098
% Current number of ordered equations: 1
% Current number of rules: 791
% New rule produced :
% [821] inverse(inverse(inverse(A) multiply A) double_divide B) <-> B
% Current number of equations to process: 1098
% Current number of ordered equations: 0
% Current number of rules: 792
% New rule produced :
% [822] A <-> inverse(inverse(A) multiply (inverse(B) double_divide B))
% Current number of equations to process: 1096
% Current number of ordered equations: 3
% Current number of rules: 793
% New rule produced :
% [823] B <-> inverse(inverse(A) multiply A) double_divide inverse(B)
% Current number of equations to process: 1096
% Current number of ordered equations: 2
% Current number of rules: 794
% New rule produced :
% [824] inverse(inverse(A) multiply (inverse(B) double_divide B)) <-> A
% Current number of equations to process: 1096
% Current number of ordered equations: 1
% Current number of rules: 795
% New rule produced :
% [825] inverse(inverse(A) multiply A) double_divide inverse(B) <-> B
% Current number of equations to process: 1096
% Current number of ordered equations: 0
% Current number of rules: 796
% New rule produced :
% [826]
% inverse(inverse(inverse(inverse(inverse(A multiply B))))) <->
% A double_divide B
% Current number of equations to process: 1100
% Current number of ordered equations: 1
% Current number of rules: 797
% New rule produced :
% [827]
% A double_divide B <->
% inverse(inverse(inverse(inverse(inverse(A multiply B)))))
% Current number of equations to process: 1100
% Current number of ordered equations: 0
% Current number of rules: 798
% New rule produced :
% [828] inverse(inverse(A)) <-> (A double_divide B) double_divide B
% Current number of equations to process: 1127
% Current number of ordered equations: 1
% Current number of rules: 799
% New rule produced :
% [829] (A double_divide B) double_divide B <-> inverse(inverse(A))
% Current number of equations to process: 1127
% Current number of ordered equations: 0
% Current number of rules: 800
% New rule produced :
% [830] A <-> inverse((inverse(A) double_divide B) double_divide B)
% Rule
% [147]
% a2 <->
% inverse(inverse(A) double_divide (inverse(a2) double_divide inverse(A)))
% collapsed.
% Rule
% [150]
% A <->
% inverse(inverse(a2) double_divide (inverse(a2) double_divide inverse(A)))
% collapsed.
% Rule
% [232]
% A double_divide B <->
% inverse((inverse(A double_divide B) double_divide C) double_divide C)
% collapsed.
% Rule
% [237]
% A double_divide C <->
% inverse((inverse(A) double_divide B) double_divide B) double_divide C
% collapsed.
% Current number of equations to process: 1147
% Current number of ordered equations: 3
% Current number of rules: 797
% New rule produced :
% [831] A <-> (inverse(inverse(A)) double_divide B) double_divide B
% Rule
% [152]
% A <->
% inverse(a2) double_divide (inverse(a2) double_divide inverse(inverse(A)))
% collapsed.
% Current number of equations to process: 1147
% Current number of ordered equations: 2
% Current number of rules: 797
% New rule produced :
% [832] inverse((inverse(A) double_divide B) double_divide B) <-> A
% Rule
% [149]
% inverse(inverse(A) double_divide (inverse(a2) double_divide inverse(A))) <->
% a2 collapsed.
% Rule
% [151]
% inverse(inverse(a2) double_divide (inverse(a2) double_divide inverse(A))) <->
% A collapsed.
% Rule
% [231]
% inverse((inverse(A double_divide B) double_divide C) double_divide C) <->
% A double_divide B collapsed.
% Rule
% [235]
% inverse((inverse(A) double_divide B) double_divide B) double_divide C <->
% A double_divide C collapsed.
% Current number of equations to process: 1147
% Current number of ordered equations: 1
% Current number of rules: 794
% New rule produced :
% [833] (inverse(inverse(A)) double_divide B) double_divide B <-> A
% Rule
% [153]
% inverse(a2) double_divide (inverse(a2) double_divide inverse(inverse(A))) <->
% A collapsed.
% Current number of equations to process: 1147
% Current number of ordered equations: 0
% Current number of rules: 794
% New rule produced :
% [834] (eq)(inverse(A multiply B) double_divide A,B) -> (true)
% Current number of equations to process: 1181
% Current number of ordered equations: 1
% Current number of rules: 795
% New rule produced :
% [835] (eq)(inverse((A double_divide B) multiply A),B) -> (true)
% Current number of equations to process: 1181
% Current number of ordered equations: 0
% Current number of rules: 796
% New rule produced :
% [836]
% inverse(A double_divide B) <->
% ((A multiply B) double_divide C) double_divide C
% Current number of equations to process: 1188
% Current number of ordered equations: 1
% Current number of rules: 797
% New rule produced :
% [837]
% ((A multiply B) double_divide C) double_divide C <->
% inverse(A double_divide B)
% Current number of equations to process: 1188
% Current number of ordered equations: 0
% Current number of rules: 798
% New rule produced :
% [838]
% inverse(((A double_divide B) double_divide C) double_divide C) <->
% A multiply B
% Current number of equations to process: 1186
% Current number of ordered equations: 3
% Current number of rules: 799
% New rule produced :
% [839]
% A multiply B <->
% inverse(((A double_divide B) double_divide C) double_divide C)
% Current number of equations to process: 1186
% Current number of ordered equations: 2
% Current number of rules: 800
% New rule produced :
% [840]
% A multiply B <-> (inverse(A double_divide B) double_divide C) double_divide C
% Current number of equations to process: 1186
% Current number of ordered equations: 1
% Current number of rules: 801
% New rule produced :
% [841]
% (inverse(A double_divide B) double_divide C) double_divide C <-> A multiply B
% Current number of equations to process: 1186
% Current number of ordered equations: 0
% Current number of rules: 802
% New rule produced :
% [842]
% inverse((inverse(A) double_divide A) double_divide B) <->
% (B double_divide C) double_divide C
% Rule
% [160]
% inverse(a2 double_divide (inverse(A) double_divide A)) <->
% a2 double_divide (a2 double_divide a2) collapsed.
% Current number of equations to process: 1185
% Current number of ordered equations: 1
% Current number of rules: 802
% New rule produced :
% [843]
% (B double_divide C) double_divide C <->
% inverse((inverse(A) double_divide A) double_divide B)
% Rule
% [161]
% a2 double_divide (a2 double_divide a2) <->
% inverse(a2 double_divide (inverse(A) double_divide A)) collapsed.
% Current number of equations to process: 1185
% Current number of ordered equations: 0
% Current number of rules: 802
% New rule produced :
% [844]
% (A double_divide C) double_divide C <->
% inverse(A) double_divide (inverse(B) double_divide B)
% Rule
% [154]
% (a2 double_divide A) double_divide A <->
% inverse(a2) double_divide (inverse(B) double_divide B) collapsed.
% Current number of equations to process: 1184
% Current number of ordered equations: 1
% Current number of rules: 802
% New rule produced :
% [845]
% inverse(A) double_divide (inverse(B) double_divide B) <->
% (A double_divide C) double_divide C
% Rule
% [155]
% inverse(a2) double_divide (inverse(B) double_divide B) <->
% (a2 double_divide A) double_divide A collapsed.
% Current number of equations to process: 1184
% Current number of ordered equations: 0
% Current number of rules: 802
% New rule produced : [846] inverse(A) <-> (A double_divide B) multiply B
% Current number of equations to process: 1207
% Current number of ordered equations: 1
% Current number of rules: 803
% New rule produced : [847] (A double_divide B) multiply B <-> inverse(A)
% Current number of equations to process: 1207
% Current number of ordered equations: 0
% Current number of rules: 804
% New rule produced :
% [848]
% inverse(inverse(inverse(inverse(A)))) <-> (A double_divide B) double_divide B
% Current number of equations to process: 1233
% Current number of ordered equations: 1
% Current number of rules: 805
% New rule produced :
% [849]
% (A double_divide B) double_divide B <-> inverse(inverse(inverse(inverse(A))))
% Current number of equations to process: 1233
% Current number of ordered equations: 0
% Current number of rules: 806
% New rule produced :
% [850] A <-> inverse(inverse((A double_divide B) double_divide B))
% Current number of equations to process: 1232
% Current number of ordered equations: 1
% Current number of rules: 807
% New rule produced :
% [851] inverse(inverse((A double_divide B) double_divide B)) <-> A
% Current number of equations to process: 1232
% Current number of ordered equations: 0
% Current number of rules: 808
% New rule produced :
% [852] inverse(B) <-> inverse(A double_divide B) double_divide inverse(A)
% Rule
% [291]
% inverse(A double_divide B) <->
% inverse(a2) double_divide inverse(a2 double_divide (A double_divide B))
% collapsed.
% Rule
% [293]
% inverse(a2 double_divide A) <->
% inverse((a2 double_divide A) double_divide B) double_divide inverse(B)
% collapsed.
% Current number of equations to process: 1246
% Current number of ordered equations: 2
% Current number of rules: 807
% New rule produced :
% [853] inverse(A double_divide B) double_divide inverse(B) <-> inverse(A)
% Rule
% [292]
% inverse(a2) double_divide inverse(a2 double_divide (A double_divide B)) <->
% inverse(A double_divide B) collapsed.
% Rule
% [294]
% inverse((a2 double_divide A) double_divide B) double_divide inverse(B) <->
% inverse(a2 double_divide A) collapsed.
% Current number of equations to process: 1246
% Current number of ordered equations: 0
% Current number of rules: 806
% New rule produced :
% [854]
% inverse(A multiply B) <->
% ((A double_divide B) double_divide C) double_divide C
% Current number of equations to process: 1255
% Current number of ordered equations: 1
% Current number of rules: 807
% New rule produced :
% [855]
% ((A double_divide B) double_divide C) double_divide C <->
% inverse(A multiply B)
% Current number of equations to process: 1255
% Current number of ordered equations: 0
% Current number of rules: 808
% New rule produced :
% [856] (eq)((inverse(inverse(A)) double_divide B) double_divide B,A) -> (true)
% Current number of equations to process: 1253
% Current number of ordered equations: 1
% Current number of rules: 809
% New rule produced :
% [857] (eq)(inverse((inverse(A) double_divide B) double_divide B),A) -> (true)
% Current number of equations to process: 1253
% Current number of ordered equations: 0
% Current number of rules: 810
% New rule produced :
% [858]
% A <-> inverse(inverse(inverse((inverse(A) double_divide B) double_divide B)))
% Current number of equations to process: 1249
% Current number of ordered equations: 7
% Current number of rules: 811
% New rule produced :
% [859]
% A <-> inverse(inverse((inverse(inverse(A)) double_divide B) double_divide B))
% Current number of equations to process: 1249
% Current number of ordered equations: 6
% Current number of rules: 812
% New rule produced :
% [860]
% A <-> inverse((inverse(inverse(inverse(A))) double_divide B) double_divide B)
% Current number of equations to process: 1249
% Current number of ordered equations: 5
% Current number of rules: 813
% New rule produced :
% [861]
% A <-> (inverse(inverse(inverse(inverse(A)))) double_divide B) double_divide B
% Current number of equations to process: 1249
% Current number of ordered equations: 4
% Current number of rules: 814
% New rule produced :
% [862]
% inverse(inverse(inverse((inverse(A) double_divide B) double_divide B))) <-> A
% Current number of equations to process: 1249
% Current number of ordered equations: 3
% Current number of rules: 815
% New rule produced :
% [863]
% inverse(inverse((inverse(inverse(A)) double_divide B) double_divide B)) <-> A
% Current number of equations to process: 1249
% Current number of ordered equations: 2
% Current number of rules: 816
% New rule produced :
% [864]
% inverse((inverse(inverse(inverse(A))) double_divide B) double_divide B) <-> A
% Current number of equations to process: 1249
% Current number of ordered equations: 1
% Current number of rules: 817
% New rule produced :
% [865]
% (inverse(inverse(inverse(inverse(A)))) double_divide B) double_divide B <-> A
% Current number of equations to process: 1249
% Current number of ordered equations: 0
% Current number of rules: 818
% New rule produced :
% [866]
% inverse(((A multiply B) double_divide C) double_divide C) <->
% A double_divide B
% Current number of equations to process: 1247
% Current number of ordered equations: 3
% Current number of rules: 819
% New rule produced :
% [867]
% A double_divide B <->
% inverse(((A multiply B) double_divide C) double_divide C)
% Current number of equations to process: 1247
% Current number of ordered equations: 2
% Current number of rules: 820
% New rule produced :
% [868]
% A double_divide B <-> (inverse(A multiply B) double_divide C) double_divide C
% Current number of equations to process: 1247
% Current number of ordered equations: 1
% Current number of rules: 821
% New rule produced :
% [869]
% (inverse(A multiply B) double_divide C) double_divide C <-> A double_divide B
% Current number of equations to process: 1247
% Current number of ordered equations: 0
% Current number of rules: 822
% New rule produced :
% [870]
% inverse((inverse(A) double_divide B) double_divide C) <->
% (A double_divide C) double_divide B
% Current number of equations to process: 1246
% Current number of ordered equations: 1
% Current number of rules: 823
% New rule produced :
% [871]
% (A double_divide C) double_divide B <->
% inverse((inverse(A) double_divide B) double_divide C)
% Current number of equations to process: 1246
% Current number of ordered equations: 0
% Current number of rules: 824
% New rule produced :
% [872]
% inverse((inverse(B) double_divide C) double_divide A) <->
% (A double_divide B) double_divide C
% Current number of equations to process: 1245
% Current number of ordered equations: 1
% Current number of rules: 825
% New rule produced :
% [873]
% (A double_divide B) double_divide C <->
% inverse((inverse(B) double_divide C) double_divide A)
% Current number of equations to process: 1245
% Current number of ordered equations: 0
% Current number of rules: 826
% New rule produced : [874] A <-> inverse((A double_divide B) multiply B)
% Current number of equations to process: 1259
% Current number of ordered equations: 6
% Current number of rules: 827
% New rule produced : [875] A <-> inverse(A multiply B) double_divide B
% Current number of equations to process: 1259
% Current number of ordered equations: 4
% Current number of rules: 828
% New rule produced : [876] inverse((A double_divide B) multiply B) <-> A
% Current number of equations to process: 1259
% Current number of ordered equations: 2
% Current number of rules: 829
% New rule produced : [877] inverse(A multiply B) double_divide B <-> A
% Current number of equations to process: 1259
% Current number of ordered equations: 0
% Current number of rules: 830
% New rule produced :
% [878] a2 double_divide A <-> inverse(a2) multiply inverse(A)
% Current number of equations to process: 1258
% Current number of ordered equations: 1
% Current number of rules: 831
% New rule produced :
% [879] inverse(a2) multiply inverse(A) <-> a2 double_divide A
% Current number of equations to process: 1258
% Current number of ordered equations: 0
% Current number of rules: 832
% New rule produced :
% [880] inverse(inverse(a2) multiply A) <-> a2 multiply inverse(A)
% Current number of equations to process: 1266
% Current number of ordered equations: 1
% Current number of rules: 833
% New rule produced :
% [881] a2 multiply inverse(A) <-> inverse(inverse(a2) multiply A)
% Current number of equations to process: 1266
% Current number of ordered equations: 0
% Current number of rules: 834
% New rule produced :
% [882] A <-> inverse((a2 multiply inverse(a2)) double_divide A)
% Current number of equations to process: 1270
% Current number of ordered equations: 1
% Current number of rules: 835
% New rule produced :
% [883] inverse((a2 multiply inverse(a2)) double_divide A) <-> A
% Current number of equations to process: 1270
% Current number of ordered equations: 0
% Current number of rules: 836
% New rule produced :
% [884] A <-> (a2 multiply inverse(a2)) double_divide inverse(A)
% Current number of equations to process: 1269
% Current number of ordered equations: 1
% Current number of rules: 837
% New rule produced :
% [885] (a2 multiply inverse(a2)) double_divide inverse(A) <-> A
% Current number of equations to process: 1269
% Current number of ordered equations: 0
% Current number of rules: 838
% New rule produced :
% [886]
% inverse(inverse(a2 double_divide inverse(A))) <-> inverse(a2) multiply A
% Current number of equations to process: 1273
% Current number of ordered equations: 3
% Current number of rules: 839
% New rule produced :
% [887]
% a2 double_divide inverse(inverse(inverse(A))) <-> inverse(a2) multiply A
% Current number of equations to process: 1273
% Current number of ordered equations: 2
% Current number of rules: 840
% New rule produced :
% [888]
% inverse(a2) multiply A <-> inverse(inverse(a2 double_divide inverse(A)))
% Current number of equations to process: 1273
% Current number of ordered equations: 1
% Current number of rules: 841
% New rule produced :
% [889]
% inverse(a2) multiply A <-> a2 double_divide inverse(inverse(inverse(A)))
% Current number of equations to process: 1273
% Current number of ordered equations: 0
% Current number of rules: 842
% New rule produced :
% [890]
% a2 double_divide (A multiply B) <-> inverse(a2) multiply (A double_divide B)
% Current number of equations to process: 1290
% Current number of ordered equations: 1
% Current number of rules: 843
% New rule produced :
% [891]
% inverse(a2) multiply (A double_divide B) <-> a2 double_divide (A multiply B)
% Current number of equations to process: 1290
% Current number of ordered equations: 0
% Current number of rules: 844
% New rule produced :
% [892]
% inverse(inverse(a2) multiply A) <->
% inverse(a2) double_divide inverse(inverse(A))
% Current number of equations to process: 1289
% Current number of ordered equations: 1
% Current number of rules: 845
% New rule produced :
% [893]
% inverse(a2) double_divide inverse(inverse(A)) <->
% inverse(inverse(a2) multiply A)
% CurCputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------