%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : GRP608-1 : TPTP v6.0.0. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n066.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 00:23:37 EDT 2014

% Result   : Unsatisfiable 7.67s
% Output   : Refutation 7.67s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : GRP608-1 : TPTP v6.0.0. Bugfixed v2.7.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n066.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 21:40:13 CDT 2014
% % CPUTime  : 7.67 
% Processing problem /tmp/CiME_46409_n066.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " b,a : constant;  multiply : 2;  double_divide : 2;  inverse : 1;";
% let X = vars "A B C";
% let Axioms = equations F X "
% double_divide(inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))),C) = B;
% multiply(A,B) = inverse(double_divide(B,A));
% ";
% 
% let s1 = status F "
% b lr_lex;
% a lr_lex;
% multiply lr_lex;
% double_divide lr_lex;
% inverse lr_lex;
% ";
% 
% let p1 = precedence F "
% multiply > double_divide > inverse > a > b";
% 
% let s2 = status F "
% b mul;
% a mul;
% multiply mul;
% double_divide mul;
% inverse mul;
% ";
% 
% let p2 = precedence F "
% multiply > double_divide > inverse > a = b";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " multiply(a,b) = multiply(b,a);"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
% 
% let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% *)
% #time on;
% 
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 
% #time off;
% 
% 
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
% 
% F : signature = <signature>
% X : variable_set = <variable set>
% 
% Axioms : (F,X) equations = { double_divide(inverse(double_divide(A,inverse(
% double_divide(
% inverse(B),
% double_divide(A,C))))),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(a,b) = multiply(b,a) }
% (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(b,a)) = inverse(double_divide(a,b))
% 
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 1
% New rule produced :
% [2]
% double_divide(inverse(double_divide(A,inverse(double_divide(inverse(B),
% double_divide(A,C))))),C) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [3]
% double_divide(V_3,inverse(double_divide(inverse(B),double_divide(V_3,
% double_divide(A,C))))) <->
% double_divide(inverse(double_divide(A,inverse(B))),C)
% Current number of equations to process: 1
% Current number of ordered equations: 1
% Current number of rules: 3
% Rule [3]
% double_divide(V_3,inverse(double_divide(inverse(B),double_divide(V_3,
% double_divide(A,C)))))
% <-> double_divide(inverse(double_divide(A,inverse(B))),C) is composed into 
% [3]
% double_divide(V_3,inverse(double_divide(inverse(B),double_divide(V_3,
% double_divide(A,C))))) <->
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,double_divide(A,C)))))
% New rule produced :
% [4]
% double_divide(inverse(double_divide(A,inverse(B))),C) <->
% double_divide(V_3,inverse(double_divide(inverse(B),double_divide(V_3,
% double_divide(A,C)))))
% Rule
% [2]
% double_divide(inverse(double_divide(A,inverse(double_divide(inverse(B),
% double_divide(A,C))))),C) -> B
% collapsed.
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced :
% [5]
% double_divide(b,inverse(double_divide(inverse(double_divide(inverse(B),
% double_divide(A,C))),double_divide(b,
% double_divide(A,C)))))
% -> B
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced :
% [6]
% double_divide(b,inverse(double_divide(inverse(double_divide(inverse(A),B)),
% double_divide(b,B)))) -> A
% Rule
% [5]
% double_divide(b,inverse(double_divide(inverse(double_divide(inverse(B),
% double_divide(A,C))),double_divide(b,
% double_divide(A,C)))))
% -> B collapsed.
% Current number of equations to process: 7
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced :
% [7]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C)))) <->
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,C))))
% Rule
% [3]
% double_divide(V_3,inverse(double_divide(inverse(B),double_divide(V_3,
% double_divide(A,C))))) <->
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,double_divide(A,C)))))
% collapsed.
% Current number of equations to process: 10
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced :
% [8]
% double_divide(b,inverse(double_divide(A,inverse(double_divide(inverse(B),
% double_divide(A,double_divide(
% inverse(C),
% double_divide(b,
% inverse(B)))))))))
% -> C
% Current number of equations to process: 13
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [9]
% double_divide(V_3,inverse(double_divide(inverse(double_divide(inverse(
% double_divide(
% inverse(B),
% double_divide(A,C))),
% double_divide(b,double_divide(A,
% inverse(
% double_divide(
% inverse(V_3),B)))))),
% double_divide(V_3,double_divide(b,C))))) -> V_3
% Current number of equations to process: 17
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [10]
% double_divide(inverse(A),double_divide(B,double_divide(B,inverse(double_divide(
% inverse(b),A)))))
% -> b
% Current number of equations to process: 30
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [11]
% double_divide(inverse(double_divide(A,B)),double_divide(A,double_divide(b,
% inverse(double_divide(
% inverse(b),
% double_divide(b,B))))))
% -> b
% Current number of equations to process: 48
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [12]
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,double_divide(A,
% inverse(
% double_divide(
% inverse(b),B)))))))
% -> double_divide(A,inverse(b))
% Current number of equations to process: 56
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [13]
% double_divide(inverse(double_divide(A,double_divide(A,inverse(double_divide(
% inverse(b),b))))),
% double_divide(B,double_divide(B,inverse(b)))) -> b
% Current number of equations to process: 56
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [14]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,
% double_divide(A,
% inverse(
% double_divide(
% inverse(b),B))))))))
% -> B
% Current number of equations to process: 55
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [15] double_divide(inverse(b),double_divide(inverse(A),A)) -> b
% Current number of equations to process: 61
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [16]
% double_divide(inverse(double_divide(A,double_divide(b,inverse(double_divide(
% inverse(b),b))))),
% double_divide(A,double_divide(b,inverse(b)))) -> b
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [17]
% double_divide(inverse(double_divide(b,double_divide(A,inverse(double_divide(
% inverse(b),b))))),
% double_divide(b,double_divide(A,inverse(b)))) -> b
% Current number of equations to process: 77
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [18]
% double_divide(inverse(double_divide(A,double_divide(B,inverse(double_divide(
% inverse(b),b))))),
% double_divide(A,double_divide(B,inverse(b)))) -> b
% Rule
% [16]
% double_divide(inverse(double_divide(A,double_divide(b,inverse(double_divide(
% inverse(b),b))))),
% double_divide(A,double_divide(b,inverse(b)))) -> b collapsed.
% Rule
% [17]
% double_divide(inverse(double_divide(b,double_divide(A,inverse(double_divide(
% inverse(b),b))))),
% double_divide(b,double_divide(A,inverse(b)))) -> b collapsed.
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [19]
% double_divide(b,double_divide(B,double_divide(B,inverse(double_divide(
% inverse(b),A))))) <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(b,A)))))
% Current number of equations to process: 84
% Current number of ordered equations: 1
% Current number of rules: 14
% Rule [19]
% double_divide(b,double_divide(B,double_divide(B,inverse(double_divide(
% inverse(b),A)))))
% <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,
% double_divide(b,A))))) is composed into 
% [19]
% double_divide(b,double_divide(B,double_divide(B,inverse(double_divide(
% inverse(b),A))))) <->
% double_divide(b,double_divide(b,double_divide(b,inverse(double_divide(
% inverse(b),A)))))
% New rule produced :
% [20]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(b,A)))))
% <->
% double_divide(b,double_divide(B,double_divide(B,inverse(double_divide(
% inverse(b),A)))))
% Current number of equations to process: 84
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [21]
% double_divide(inverse(double_divide(b,double_divide(A,double_divide(A,
% inverse(double_divide(
% inverse(b),B)))))),
% double_divide(b,B)) -> b
% Current number of equations to process: 87
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [22]
% double_divide(inverse(double_divide(A,double_divide(B,double_divide(B,
% inverse(double_divide(
% inverse(b),C)))))),
% double_divide(A,C)) -> b
% Rule
% [21]
% double_divide(inverse(double_divide(b,double_divide(A,double_divide(A,
% inverse(double_divide(
% inverse(b),B)))))),
% double_divide(b,B)) -> b collapsed.
% Current number of equations to process: 88
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [23]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,A)))) <->
% double_divide(inverse(A),inverse(b))
% Current number of equations to process: 92
% Current number of ordered equations: 1
% Current number of rules: 17
% New rule produced :
% [24]
% double_divide(inverse(A),inverse(b)) <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,A))))
% Current number of equations to process: 92
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [25]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(
% inverse(A),A)))))
% -> b
% Current number of equations to process: 91
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [26]
% double_divide(inverse(double_divide(inverse(A),A)),double_divide(B,double_divide(B,
% inverse(b))))
% -> b
% Current number of equations to process: 96
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [27]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(b,double_divide(
% inverse(B),B)))))
% <-> double_divide(inverse(b),inverse(double_divide(inverse(A),b)))
% Current number of equations to process: 95
% Current number of ordered equations: 1
% Current number of rules: 21
% New rule produced :
% [28]
% double_divide(inverse(b),inverse(double_divide(inverse(A),b))) <->
% double_divide(b,inverse(double_divide(inverse(A),double_divide(b,double_divide(
% inverse(B),B)))))
% Current number of equations to process: 95
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [29]
% double_divide(inverse(B),B) <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,
% double_divide(A,
% inverse(b)))))))
% Current number of equations to process: 94
% Current number of ordered equations: 1
% Current number of rules: 23
% Rule [29]
% double_divide(inverse(B),B) <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,
% double_divide(A,
% double_divide(A,
% inverse(b))))))) is composed into 
% [29] double_divide(inverse(B),B) <-> double_divide(inverse(b),b)
% New rule produced :
% [30]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,
% double_divide(A,
% inverse(b)))))))
% <-> double_divide(inverse(B),B)
% Current number of equations to process: 94
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [31]
% double_divide(b,inverse(double_divide(inverse(double_divide(inverse(A),A)),
% double_divide(b,double_divide(B,inverse(b)))))) ->
% double_divide(B,inverse(b))
% Current number of equations to process: 93
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [32]
% double_divide(inverse(b),double_divide(A,inverse(double_divide(inverse(B),
% double_divide(A,double_divide(C,
% double_divide(C,
% inverse(B))))))))
% -> b
% Current number of equations to process: 99
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [33]
% double_divide(b,double_divide(A,double_divide(A,inverse(b)))) <->
% double_divide(b,double_divide(b,double_divide(b,inverse(b))))
% Current number of equations to process: 105
% Current number of ordered equations: 1
% Current number of rules: 27
% New rule produced :
% [34]
% double_divide(b,double_divide(b,double_divide(b,inverse(b)))) <->
% double_divide(b,double_divide(A,double_divide(A,inverse(b))))
% Current number of equations to process: 105
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [35]
% double_divide(inverse(double_divide(inverse(b),double_divide(A,double_divide(A,
% inverse(b))))),b)
% -> b
% Current number of equations to process: 137
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [36]
% double_divide(inverse(double_divide(A,double_divide(B,double_divide(B,
% inverse(b))))),
% double_divide(A,double_divide(inverse(C),C))) -> b
% Current number of equations to process: 143
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [37]
% double_divide(A,double_divide(C,double_divide(C,inverse(double_divide(
% inverse(b),B))))) <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,B)))))
% Current number of equations to process: 142
% Current number of ordered equations: 1
% Current number of rules: 31
% New rule produced :
% [38]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,B)))))
% <->
% double_divide(A,double_divide(C,double_divide(C,inverse(double_divide(
% inverse(b),B)))))
% Rule
% [20]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(b,A)))))
% <->
% double_divide(b,double_divide(B,double_divide(B,inverse(double_divide(
% inverse(b),A)))))
% collapsed.
% Current number of equations to process: 143
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [39]
% double_divide(b,double_divide(A,double_divide(A,inverse(double_divide(
% inverse(b),inverse(
% double_divide(
% inverse(b),b)))))))
% -> double_divide(b,inverse(b))
% Current number of equations to process: 141
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [40]
% double_divide(b,double_divide(B,double_divide(B,inverse(double_divide(
% inverse(b),double_divide(b,
% inverse(
% double_divide(
% inverse(b),A))))))))
% -> A
% Current number of equations to process: 142
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [41]
% double_divide(inverse(double_divide(b,A)),double_divide(b,double_divide(
% inverse(A),
% inverse(b)))) -> b
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [42]
% double_divide(inverse(double_divide(A,B)),double_divide(A,double_divide(
% inverse(B),
% inverse(b)))) -> b
% Rule
% [41]
% double_divide(inverse(double_divide(b,A)),double_divide(b,double_divide(
% inverse(A),
% inverse(b)))) -> b
% collapsed.
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [43]
% double_divide(inverse(b),double_divide(b,inverse(double_divide(inverse(b),
% double_divide(b,inverse(b))))))
% -> b
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [44]
% double_divide(inverse(double_divide(b,double_divide(inverse(A),A))),double_divide(b,b))
% -> b
% Current number of equations to process: 183
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [45]
% double_divide(inverse(double_divide(A,double_divide(inverse(B),B))),double_divide(A,b))
% -> b
% Rule
% [44]
% double_divide(inverse(double_divide(b,double_divide(inverse(A),A))),double_divide(b,b))
% -> b collapsed.
% Current number of equations to process: 184
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [46]
% double_divide(b,double_divide(b,double_divide(b,inverse(double_divide(
% inverse(b),b))))) <->
% double_divide(b,double_divide(inverse(A),A))
% Current number of equations to process: 184
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [47]
% double_divide(inverse(double_divide(A,double_divide(b,b))),double_divide(A,
% double_divide(b,
% double_divide(
% inverse(B),B))))
% -> b
% Current number of equations to process: 188
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [48]
% double_divide(inverse(b),double_divide(inverse(double_divide(inverse(A),A)),
% double_divide(inverse(b),b))) -> b
% Current number of equations to process: 192
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [49]
% double_divide(inverse(b),inverse(double_divide(inverse(double_divide(
% inverse(A),double_divide(
% inverse(B),B))),b)))
% -> A
% Current number of equations to process: 197
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [50]
% double_divide(b,double_divide(b,double_divide(b,inverse(double_divide(
% inverse(b),double_divide(
% inverse(A),
% inverse(b)))))))
% -> double_divide(b,A)
% Current number of equations to process: 196
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [51]
% double_divide(inverse(double_divide(A,double_divide(b,double_divide(inverse(B),
% inverse(b))))),
% double_divide(A,double_divide(b,B))) -> b
% Current number of equations to process: 195
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [52] double_divide(inverse(b),inverse(double_divide(inverse(b),b))) -> b
% Rule
% [39]
% double_divide(b,double_divide(A,double_divide(A,inverse(double_divide(
% inverse(b),inverse(
% double_divide(
% inverse(b),b)))))))
% -> double_divide(b,inverse(b)) collapsed.
% Current number of equations to process: 203
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [53]
% double_divide(b,double_divide(A,double_divide(A,inverse(b)))) ->
% double_divide(b,inverse(b))
% Rule
% [30]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,
% double_divide(A,
% inverse(b)))))))
% <-> double_divide(inverse(B),B) collapsed.
% Rule
% [33]
% double_divide(b,double_divide(A,double_divide(A,inverse(b)))) <->
% double_divide(b,double_divide(b,double_divide(b,inverse(b)))) collapsed.
% Rule
% [34]
% double_divide(b,double_divide(b,double_divide(b,inverse(b)))) <->
% double_divide(b,double_divide(A,double_divide(A,inverse(b)))) collapsed.
% Current number of equations to process: 203
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [54]
% double_divide(inverse(B),B) <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,inverse(b)))))
% Current number of equations to process: 202
% Current number of ordered equations: 1
% Current number of rules: 41
% Rule [54]
% double_divide(inverse(B),B) <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,
% inverse(b))))) is composed into 
% [54] double_divide(inverse(B),B) <-> double_divide(inverse(b),b)
% New rule produced :
% [55]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,inverse(b)))))
% <-> double_divide(inverse(B),B)
% Rule
% [43]
% double_divide(inverse(b),double_divide(b,inverse(double_divide(inverse(b),
% double_divide(b,inverse(b))))))
% -> b collapsed.
% Current number of equations to process: 202
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [56]
% double_divide(b,inverse(double_divide(inverse(double_divide(inverse(b),b)),
% double_divide(b,A)))) -> A
% Current number of equations to process: 217
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [57]
% double_divide(b,inverse(double_divide(inverse(double_divide(A,B)),double_divide(b,B))))
% -> double_divide(A,inverse(double_divide(inverse(b),b)))
% Rule
% [6]
% double_divide(b,inverse(double_divide(inverse(double_divide(inverse(A),B)),
% double_divide(b,B)))) -> A collapsed.
% Current number of equations to process: 219
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [58] double_divide(inverse(A),inverse(double_divide(inverse(b),b))) -> A
% Rule [52] double_divide(inverse(b),inverse(double_divide(inverse(b),b))) -> b
% collapsed.
% Current number of equations to process: 218
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [59]
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,A)))) <->
% double_divide(inverse(A),inverse(double_divide(inverse(B),double_divide(
% inverse(b),b))))
% Current number of equations to process: 217
% Current number of ordered equations: 1
% Current number of rules: 43
% New rule produced :
% [60]
% double_divide(inverse(A),inverse(double_divide(inverse(B),double_divide(
% inverse(b),b))))
% <-> double_divide(b,inverse(double_divide(inverse(B),double_divide(b,A))))
% Current number of equations to process: 217
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [61]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,double_divide(C,
% double_divide(C,
% inverse(B)))))))
% <-> double_divide(inverse(b),b)
% Current number of equations to process: 216
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced :
% [62]
% double_divide(inverse(b),b) <->
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,double_divide(C,
% double_divide(C,
% inverse(B)))))))
% Current number of equations to process: 216
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [63]
% double_divide(B,inverse(double_divide(inverse(C),double_divide(B,double_divide(
% inverse(
% inverse(C)),A)))))
% <-> double_divide(inverse(double_divide(inverse(b),b)),A)
% Current number of equations to process: 215
% Current number of ordered equations: 1
% Current number of rules: 47
% Rule [63]
% double_divide(B,inverse(double_divide(inverse(C),double_divide(B,
% double_divide(inverse(
% inverse(C)),A)))))
% <-> double_divide(inverse(double_divide(inverse(b),b)),A) is composed into 
% [63]
% double_divide(B,inverse(double_divide(inverse(C),double_divide(B,double_divide(
% inverse(
% inverse(C)),A)))))
% <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(
% inverse(
% inverse(b)),A)))))
% New rule produced :
% [64]
% double_divide(inverse(double_divide(inverse(b),b)),A) <->
% double_divide(B,inverse(double_divide(inverse(C),double_divide(B,double_divide(
% inverse(
% inverse(C)),A)))))
% Rule
% [56]
% double_divide(b,inverse(double_divide(inverse(double_divide(inverse(b),b)),
% double_divide(b,A)))) -> A collapsed.
% Current number of equations to process: 216
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [65]
% double_divide(inverse(A),double_divide(inverse(inverse(double_divide(
% inverse(b),A))),
% double_divide(inverse(b),b))) -> b
% Current number of equations to process: 221
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [66]
% double_divide(b,double_divide(A,double_divide(A,inverse(double_divide(
% inverse(b),b))))) ->
% double_divide(b,double_divide(inverse(b),b))
% Rule
% [46]
% double_divide(b,double_divide(b,double_divide(b,inverse(double_divide(
% inverse(b),b))))) <->
% double_divide(b,double_divide(inverse(A),A)) collapsed.
% Current number of equations to process: 226
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [67]
% double_divide(inverse(b),inverse(double_divide(inverse(double_divide(b,
% double_divide(
% inverse(A),A))),b)))
% -> double_divide(b,inverse(double_divide(inverse(b),b)))
% Current number of equations to process: 230
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [68]
% double_divide(b,double_divide(C,double_divide(C,inverse(double_divide(
% inverse(b),inverse(B))))))
% <->
% double_divide(b,inverse(double_divide(A,inverse(double_divide(inverse(B),
% double_divide(A,b))))))
% Current number of equations to process: 230
% Current number of ordered equations: 1
% Current number of rules: 50
% New rule produced :
% [69]
% double_divide(b,inverse(double_divide(A,inverse(double_divide(inverse(B),
% double_divide(A,b)))))) <->
% double_divide(b,double_divide(C,double_divide(C,inverse(double_divide(
% inverse(b),inverse(B))))))
% Current number of equations to process: 230
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [70]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,double_divide(C,
% inverse(b))))))
% <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(C,
% inverse(B))))))
% Current number of equations to process: 229
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced :
% [71]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(C,
% inverse(B))))))
% <->
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,double_divide(C,
% inverse(b))))))
% Current number of equations to process: 229
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [72]
% double_divide(inverse(b),inverse(double_divide(inverse(double_divide(A,
% double_divide(B,
% double_divide(B,
% inverse(b))))),b))) ->
% double_divide(A,inverse(b))
% Current number of equations to process: 268
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [73]
% double_divide(inverse(b),double_divide(inverse(double_divide(inverse(A),A)),
% double_divide(inverse(B),B))) -> b
% Rule
% [48]
% double_divide(inverse(b),double_divide(inverse(double_divide(inverse(A),A)),
% double_divide(inverse(b),b))) -> b collapsed.
% Current number of equations to process: 275
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [74]
% double_divide(A,double_divide(inverse(b),b)) <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,b)))))
% Rule
% [65]
% double_divide(inverse(A),double_divide(inverse(inverse(double_divide(
% inverse(b),A))),
% double_divide(inverse(b),b))) -> b collapsed.
% Current number of equations to process: 305
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [75]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,b)))))
% <-> double_divide(A,double_divide(inverse(b),b))
% Current number of equations to process: 305
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [76]
% double_divide(A,double_divide(b,double_divide(inverse(B),inverse(b)))) <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,
% double_divide(b,B))))))
% Current number of equations to process: 317
% Current number of ordered equations: 1
% Current number of rules: 56
% New rule produced :
% [77]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,
% double_divide(b,B))))))
% <-> double_divide(A,double_divide(b,double_divide(inverse(B),inverse(b))))
% Current number of equations to process: 317
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [78]
% double_divide(B,double_divide(C,double_divide(C,inverse(double_divide(
% inverse(b),double_divide(B,
% inverse(
% double_divide(
% inverse(b),A))))))))
% -> A
% Rule
% [40]
% double_divide(b,double_divide(B,double_divide(B,inverse(double_divide(
% inverse(b),double_divide(b,
% inverse(
% double_divide(
% inverse(b),A))))))))
% -> A collapsed.
% Current number of equations to process: 316
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [79]
% double_divide(A,double_divide(B,double_divide(B,inverse(b)))) ->
% double_divide(A,inverse(b))
% Rule
% [13]
% double_divide(inverse(double_divide(A,double_divide(A,inverse(double_divide(
% inverse(b),b))))),
% double_divide(B,double_divide(B,inverse(b)))) -> b collapsed.
% Rule
% [26]
% double_divide(inverse(double_divide(inverse(A),A)),double_divide(B,double_divide(B,
% inverse(b))))
% -> b collapsed.
% Rule
% [35]
% double_divide(inverse(double_divide(inverse(b),double_divide(A,double_divide(A,
% inverse(b))))),b)
% -> b collapsed.
% Rule
% [36]
% double_divide(inverse(double_divide(A,double_divide(B,double_divide(B,
% inverse(b))))),
% double_divide(A,double_divide(inverse(C),C))) -> b collapsed.
% Rule
% [53]
% double_divide(b,double_divide(A,double_divide(A,inverse(b)))) ->
% double_divide(b,inverse(b)) collapsed.
% Rule
% [72]
% double_divide(inverse(b),inverse(double_divide(inverse(double_divide(A,
% double_divide(B,
% double_divide(B,
% inverse(b))))),b))) ->
% double_divide(A,inverse(b)) collapsed.
% Current number of equations to process: 327
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [80]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,
% double_divide(A,
% double_divide(
% inverse(C),C)))))))
% -> b
% Current number of equations to process: 326
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [81]
% double_divide(A,inverse(b)) <->
% double_divide(inverse(b),inverse(double_divide(b,inverse(double_divide(
% inverse(b),double_divide(b,
% double_divide(A,b)))))))
% Current number of equations to process: 325
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [82]
% double_divide(inverse(b),inverse(double_divide(b,inverse(double_divide(
% inverse(b),double_divide(b,
% double_divide(A,b)))))))
% <-> double_divide(A,inverse(b))
% Current number of equations to process: 325
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [83]
% double_divide(b,inverse(double_divide(inverse(double_divide(A,double_divide(
% inverse(B),B))),
% double_divide(b,b)))) -> double_divide(A,inverse(b))
% Current number of equations to process: 372
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [84]
% double_divide(b,double_divide(b,double_divide(b,inverse(B)))) <->
% double_divide(b,double_divide(A,double_divide(A,inverse(B))))
% Current number of equations to process: 382
% Current number of ordered equations: 1
% Current number of rules: 57
% New rule produced :
% [85]
% double_divide(b,double_divide(A,double_divide(A,inverse(B)))) <->
% double_divide(b,double_divide(b,double_divide(b,inverse(B))))
% Rule
% [19]
% double_divide(b,double_divide(B,double_divide(B,inverse(double_divide(
% inverse(b),A))))) <->
% double_divide(b,double_divide(b,double_divide(b,inverse(double_divide(
% inverse(b),A)))))
% collapsed.
% Current number of equations to process: 382
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [86]
% double_divide(inverse(double_divide(inverse(b),double_divide(A,double_divide(A,
% inverse(B))))),B)
% -> b
% Current number of equations to process: 391
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [87]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,A)))) <->
% double_divide(inverse(b),double_divide(B,double_divide(B,inverse(A))))
% Current number of equations to process: 394
% Current number of ordered equations: 1
% Current number of rules: 59
% New rule produced :
% [88]
% double_divide(inverse(b),double_divide(B,double_divide(B,inverse(A)))) <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,A))))
% Current number of equations to process: 394
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [89]
% double_divide(inverse(b),double_divide(inverse(double_divide(b,double_divide(
% inverse(A),A))),
% double_divide(b,double_divide(inverse(B),B)))) -> b
% Current number of equations to process: 394
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [90]
% double_divide(inverse(double_divide(A,double_divide(b,double_divide(inverse(B),B)))),
% double_divide(A,double_divide(b,inverse(b)))) -> b
% Current number of equations to process: 431
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [91]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,
% double_divide(
% inverse(B),
% inverse(b)))))))
% -> double_divide(A,B)
% Current number of equations to process: 430
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [92]
% double_divide(A,double_divide(inverse(B),B)) <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,b)))))
% Rule
% [73]
% double_divide(inverse(b),double_divide(inverse(double_divide(inverse(A),A)),
% double_divide(inverse(B),B))) -> b collapsed.
% Rule
% [74]
% double_divide(A,double_divide(inverse(b),b)) <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,b)))))
% collapsed.
% Current number of equations to process: 444
% Current number of ordered equations: 1
% Current number of rules: 62
% New rule produced :
% [93]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,b)))))
% <-> double_divide(A,double_divide(inverse(B),B))
% Rule
% [75]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,b)))))
% <-> double_divide(A,double_divide(inverse(b),b)) collapsed.
% Current number of equations to process: 444
% Current number of ordered equations: 0
% Current number of rules: 62
% Rule [67]
% double_divide(inverse(b),inverse(double_divide(inverse(double_divide(b,
% double_divide(
% inverse(A),A))),b)))
% -> double_divide(b,inverse(double_divide(inverse(b),b))) is composed into 
% [67]
% double_divide(inverse(b),inverse(double_divide(inverse(double_divide(b,
% double_divide(
% inverse(A),A))),b)))
% -> double_divide(b,double_divide(inverse(b),b))
% Rule [57]
% double_divide(b,inverse(double_divide(inverse(double_divide(A,B)),
% double_divide(b,B)))) ->
% double_divide(A,inverse(double_divide(inverse(b),b))) is composed into 
% [57]
% double_divide(b,inverse(double_divide(inverse(double_divide(A,B)),double_divide(b,B))))
% -> double_divide(A,double_divide(inverse(b),b))
% New rule produced :
% [94] inverse(double_divide(inverse(b),b)) -> double_divide(inverse(b),b)
% Rule
% [18]
% double_divide(inverse(double_divide(A,double_divide(B,inverse(double_divide(
% inverse(b),b))))),
% double_divide(A,double_divide(B,inverse(b)))) -> b collapsed.
% Rule [58] double_divide(inverse(A),inverse(double_divide(inverse(b),b))) -> A
% collapsed.
% Rule
% [64]
% double_divide(inverse(double_divide(inverse(b),b)),A) <->
% double_divide(B,inverse(double_divide(inverse(C),double_divide(B,double_divide(
% inverse(
% inverse(C)),A)))))
% collapsed.
% Rule
% [66]
% double_divide(b,double_divide(A,double_divide(A,inverse(double_divide(
% inverse(b),b))))) ->
% double_divide(b,double_divide(inverse(b),b)) collapsed.
% Current number of equations to process: 461
% Current number of ordered equations: 0
% Current number of rules: 59
% Rule [59]
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,A))))
% <->
% double_divide(inverse(A),inverse(double_divide(inverse(B),double_divide(
% inverse(b),b)))) is composed into 
% [59]
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,A)))) <->
% double_divide(inverse(A),inverse(B))
% New rule produced :
% [95] double_divide(inverse(A),double_divide(inverse(b),b)) -> A
% Rule
% [60]
% double_divide(inverse(A),inverse(double_divide(inverse(B),double_divide(
% inverse(b),b))))
% <-> double_divide(b,inverse(double_divide(inverse(B),double_divide(b,A))))
% collapsed.
% Current number of equations to process: 461
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [96]
% double_divide(b,double_divide(A,double_divide(A,double_divide(inverse(b),b))))
% -> double_divide(b,double_divide(inverse(b),b))
% Current number of equations to process: 459
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [97]
% double_divide(B,inverse(double_divide(inverse(C),double_divide(B,double_divide(
% inverse(
% inverse(C)),A)))))
% <-> double_divide(double_divide(inverse(b),b),A)
% Current number of equations to process: 460
% Current number of ordered equations: 1
% Current number of rules: 61
% Rule [97]
% double_divide(B,inverse(double_divide(inverse(C),double_divide(B,
% double_divide(inverse(
% inverse(C)),A)))))
% <-> double_divide(double_divide(inverse(b),b),A) is composed into 
% [97]
% double_divide(B,inverse(double_divide(inverse(C),double_divide(B,double_divide(
% inverse(
% inverse(C)),A)))))
% <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(
% inverse(
% inverse(b)),A)))))
% New rule produced :
% [98]
% double_divide(double_divide(inverse(b),b),A) <->
% double_divide(B,inverse(double_divide(inverse(C),double_divide(B,double_divide(
% inverse(
% inverse(C)),A)))))
% Current number of equations to process: 460
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [99]
% double_divide(inverse(double_divide(A,double_divide(B,double_divide(inverse(b),b)))),
% double_divide(A,double_divide(B,inverse(b)))) -> b
% Current number of equations to process: 459
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [100]
% double_divide(inverse(b),double_divide(inverse(double_divide(A,double_divide(A,
% inverse(B)))),
% inverse(B))) -> b
% Current number of equations to process: 460
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [101]
% double_divide(inverse(b),inverse(double_divide(inverse(double_divide(A,
% double_divide(
% inverse(B),B))),b)))
% -> double_divide(A,double_divide(inverse(b),b))
% Rule
% [49]
% double_divide(inverse(b),inverse(double_divide(inverse(double_divide(
% inverse(A),double_divide(
% inverse(B),B))),b)))
% -> A collapsed.
% Rule
% [67]
% double_divide(inverse(b),inverse(double_divide(inverse(double_divide(b,
% double_divide(
% inverse(A),A))),b)))
% -> double_divide(b,double_divide(inverse(b),b)) collapsed.
% Current number of equations to process: 460
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [102]
% double_divide(b,inverse(double_divide(inverse(double_divide(inverse(A),
% double_divide(b,inverse(B)))),
% inverse(B)))) -> A
% Current number of equations to process: 462
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [103]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,double_divide(C,
% double_divide(
% inverse(b),b))))))
% <-> double_divide(C,inverse(B))
% Current number of equations to process: 461
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced :
% [104]
% double_divide(C,inverse(B)) <->
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,double_divide(C,
% double_divide(
% inverse(b),b))))))
% Current number of equations to process: 461
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [105]
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,double_divide(
% inverse(b),b)))))
% <-> double_divide(inverse(A),inverse(double_divide(inverse(B),A)))
% Current number of equations to process: 460
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced :
% [106]
% double_divide(inverse(A),inverse(double_divide(inverse(B),A))) <->
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,double_divide(
% inverse(b),b)))))
% Current number of equations to process: 460
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [107]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(
% inverse(A),
% inverse(
% double_divide(b,A)))))))
% -> double_divide(b,inverse(b))
% Current number of equations to process: 459
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [108]
% double_divide(inverse(b),inverse(double_divide(inverse(A),b))) <->
% double_divide(inverse(double_divide(inverse(B),B)),inverse(A))
% Rule
% [101]
% double_divide(inverse(b),inverse(double_divide(inverse(double_divide(A,
% double_divide(
% inverse(B),B))),b)))
% -> double_divide(A,double_divide(inverse(b),b)) collapsed.
% Current number of equations to process: 476
% Current number of ordered equations: 1
% Current number of rules: 69
% New rule produced :
% [109]
% double_divide(inverse(double_divide(inverse(B),B)),inverse(A)) <->
% double_divide(inverse(b),inverse(double_divide(inverse(A),b)))
% Current number of equations to process: 476
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [110]
% double_divide(b,double_divide(inverse(b),b)) <->
% double_divide(inverse(A),inverse(double_divide(b,A)))
% Current number of equations to process: 476
% Current number of ordered equations: 1
% Current number of rules: 71
% New rule produced :
% [111]
% double_divide(inverse(A),inverse(double_divide(b,A))) <->
% double_divide(b,double_divide(inverse(b),b))
% Current number of equations to process: 476
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [112]
% double_divide(A,double_divide(inverse(b),b)) <->
% double_divide(inverse(double_divide(inverse(B),B)),inverse(double_divide(A,
% double_divide(
% inverse(B),B))))
% Current number of equations to process: 475
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [113]
% double_divide(inverse(double_divide(inverse(B),B)),inverse(double_divide(A,
% double_divide(
% inverse(B),B))))
% <-> double_divide(A,double_divide(inverse(b),b))
% Current number of equations to process: 475
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [114]
% double_divide(inverse(b),inverse(double_divide(b,double_divide(inverse(A),A))))
% -> double_divide(b,inverse(b))
% Current number of equations to process: 481
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [115]
% double_divide(A,double_divide(inverse(b),b)) <->
% double_divide(inverse(B),inverse(double_divide(A,B)))
% Rule
% [110]
% double_divide(b,double_divide(inverse(b),b)) <->
% double_divide(inverse(A),inverse(double_divide(b,A))) collapsed.
% Rule
% [112]
% double_divide(A,double_divide(inverse(b),b)) <->
% double_divide(inverse(double_divide(inverse(B),B)),inverse(double_divide(A,
% double_divide(
% inverse(B),B))))
% collapsed.
% Current number of equations to process: 486
% Current number of ordered equations: 1
% Current number of rules: 74
% New rule produced :
% [116]
% double_divide(inverse(B),inverse(double_divide(A,B))) <->
% double_divide(A,double_divide(inverse(b),b))
% Rule
% [111]
% double_divide(inverse(A),inverse(double_divide(b,A))) <->
% double_divide(b,double_divide(inverse(b),b)) collapsed.
% Rule
% [113]
% double_divide(inverse(double_divide(inverse(B),B)),inverse(double_divide(A,
% double_divide(
% inverse(B),B))))
% <-> double_divide(A,double_divide(inverse(b),b)) collapsed.
% Current number of equations to process: 486
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [117]
% double_divide(inverse(double_divide(b,double_divide(inverse(A),A))),inverse(
% double_divide(b,
% double_divide(b,b))))
% -> double_divide(b,inverse(b))
% Current number of equations to process: 490
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [118]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(inverse(B),
% inverse(b))))) <->
% double_divide(inverse(inverse(double_divide(inverse(b),double_divide(b,B)))),
% inverse(A))
% Current number of equations to process: 489
% Current number of ordered equations: 1
% Current number of rules: 75
% New rule produced :
% [119]
% double_divide(inverse(inverse(double_divide(inverse(b),double_divide(b,B)))),
% inverse(A)) <->
% double_divide(b,inverse(double_divide(inverse(A),double_divide(inverse(B),
% inverse(b)))))
% Current number of equations to process: 489
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [120]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(inverse(B),
% inverse(C))))) <->
% double_divide(inverse(inverse(double_divide(inverse(C),double_divide(b,B)))),
% inverse(A))
% Rule
% [118]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(inverse(B),
% inverse(b))))) <->
% double_divide(inverse(inverse(double_divide(inverse(b),double_divide(b,B)))),
% inverse(A)) collapsed.
% Current number of equations to process: 488
% Current number of ordered equations: 1
% Current number of rules: 76
% New rule produced :
% [121]
% double_divide(inverse(inverse(double_divide(inverse(C),double_divide(b,B)))),
% inverse(A)) <->
% double_divide(b,inverse(double_divide(inverse(A),double_divide(inverse(B),
% inverse(C)))))
% Rule
% [119]
% double_divide(inverse(inverse(double_divide(inverse(b),double_divide(b,B)))),
% inverse(A)) <->
% double_divide(b,inverse(double_divide(inverse(A),double_divide(inverse(B),
% inverse(b))))) collapsed.
% Current number of equations to process: 488
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [122]
% double_divide(A,inverse(b)) <->
% double_divide(b,inverse(double_divide(inverse(double_divide(inverse(b),B)),
% double_divide(b,double_divide(A,inverse(B))))))
% Current number of equations to process: 489
% Current number of ordered equations: 1
% Current number of rules: 77
% New rule produced :
% [123]
% double_divide(b,inverse(double_divide(inverse(double_divide(inverse(b),B)),
% double_divide(b,double_divide(A,inverse(B)))))) <->
% double_divide(A,inverse(b))
% Current number of equations to process: 489
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [124]
% double_divide(inverse(A),inverse(double_divide(b,double_divide(B,double_divide(B,
% inverse(
% double_divide(
% inverse(b),A)))))))
% -> double_divide(b,inverse(b))
% Current number of equations to process: 488
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [125]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,
% inverse(
% double_divide(
% inverse(B),B)))))))
% -> double_divide(A,inverse(b))
% Current number of equations to process: 487
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [126]
% double_divide(inverse(double_divide(b,A)),inverse(double_divide(b,double_divide(b,
% double_divide(
% inverse(A),
% inverse(b))))))
% -> double_divide(b,inverse(b))
% Current number of equations to process: 486
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [127]
% double_divide(inverse(inverse(double_divide(inverse(b),double_divide(b,
% inverse(b))))),
% inverse(A)) <->
% double_divide(b,inverse(double_divide(inverse(A),double_divide(inverse(B),B))))
% Current number of equations to process: 485
% Current number of ordered equations: 1
% Current number of rules: 82
% New rule produced :
% [128]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(inverse(B),B))))
% <->
% double_divide(inverse(inverse(double_divide(inverse(b),double_divide(b,
% inverse(b))))),
% inverse(A))
% Current number of equations to process: 485
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [129]
% double_divide(b,inverse(double_divide(inverse(A),b))) <->
% double_divide(inverse(inverse(double_divide(inverse(b),double_divide(b,
% double_divide(
% inverse(B),B))))),
% inverse(A))
% Current number of equations to process: 485
% Current number of ordered equations: 1
% Current number of rules: 84
% New rule produced :
% [130]
% double_divide(inverse(inverse(double_divide(inverse(b),double_divide(b,
% double_divide(
% inverse(B),B))))),
% inverse(A)) <-> double_divide(b,inverse(double_divide(inverse(A),b)))
% Current number of equations to process: 485
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [131]
% double_divide(inverse(A),inverse(double_divide(inverse(double_divide(
% inverse(b),A)),b))) ->
% double_divide(inverse(b),b)
% Current number of equations to process: 489
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [132]
% double_divide(inverse(double_divide(A,double_divide(A,inverse(B)))),inverse(B))
% -> double_divide(inverse(b),b)
% Rule
% [100]
% double_divide(inverse(b),double_divide(inverse(double_divide(A,double_divide(A,
% inverse(B)))),
% inverse(B))) -> b collapsed.
% Current number of equations to process: 499
% Current number of ordered equations: 2
% Current number of rules: 86
% New rule produced :
% [133]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,inverse(B)))))
% <-> double_divide(inverse(b),b)
% Rule
% [55]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,inverse(b)))))
% <-> double_divide(inverse(B),B) collapsed.
% Current number of equations to process: 500
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [134]
% double_divide(inverse(b),b) <->
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,inverse(B)))))
% Current number of equations to process: 499
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [135]
% double_divide(inverse(double_divide(inverse(inverse(A)),B)),inverse(double_divide(
% inverse(A),b)))
% -> double_divide(inverse(inverse(b)),B)
% Current number of equations to process: 522
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [136]
% double_divide(inverse(double_divide(inverse(inverse(A)),B)),inverse(A)) ->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(
% inverse(
% inverse(b)),B)))))
% Current number of equations to process: 554
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [137]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,
% double_divide(
% inverse(C),C))))))
% -> double_divide(A,inverse(b))
% Current number of equations to process: 554
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [138]
% double_divide(A,double_divide(b,double_divide(inverse(B),B))) <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,
% double_divide(b,
% inverse(b)))))))
% Rule
% [89]
% double_divide(inverse(b),double_divide(inverse(double_divide(b,double_divide(
% inverse(A),A))),
% double_divide(b,double_divide(inverse(B),B)))) -> b
% collapsed.
% Current number of equations to process: 554
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced :
% [139]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,
% double_divide(b,
% inverse(b)))))))
% <-> double_divide(A,double_divide(b,double_divide(inverse(B),B)))
% Current number of equations to process: 554
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [140]
% double_divide(b,inverse(double_divide(b,inverse(double_divide(inverse(b),
% double_divide(b,double_divide(
% inverse(
% inverse(b)),
% double_divide(b,
% double_divide(A,
% inverse(b))))))))))
% -> double_divide(A,inverse(b))
% Current number of equations to process: 553
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [141]
% double_divide(inverse(inverse(double_divide(inverse(B),double_divide(b,
% double_divide(C,
% double_divide(C,
% inverse(B))))))),
% inverse(A)) -> double_divide(b,inverse(A))
% Current number of equations to process: 552
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [142]
% double_divide(B,double_divide(B,double_divide(inverse(b),b))) ->
% double_divide(inverse(b),b)
% Rule
% [96]
% double_divide(b,double_divide(A,double_divide(A,double_divide(inverse(b),b))))
% -> double_divide(b,double_divide(inverse(b),b)) collapsed.
% Current number of equations to process: 551
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [143]
% double_divide(b,double_divide(b,double_divide(b,inverse(double_divide(
% inverse(b),double_divide(A,
% inverse(b)))))))
% <-> double_divide(b,double_divide(A,double_divide(inverse(b),b)))
% Current number of equations to process: 550
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [144]
% double_divide(b,double_divide(A,double_divide(inverse(b),b))) <->
% double_divide(b,double_divide(b,double_divide(b,inverse(double_divide(
% inverse(b),double_divide(A,
% inverse(b)))))))
% Current number of equations to process: 550
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [145]
% double_divide(A,double_divide(B,double_divide(inverse(b),b))) <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,
% double_divide(B,
% inverse(b)))))))
% Current number of equations to process: 549
% Current number of ordered equations: 1
% Current number of rules: 96
% New rule produced :
% [146]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,
% double_divide(B,
% inverse(b)))))))
% <-> double_divide(A,double_divide(B,double_divide(inverse(b),b)))
% Current number of equations to process: 549
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [147]
% double_divide(inverse(double_divide(inverse(A),A)),double_divide(inverse(B),
% double_divide(b,inverse(
% double_divide(
% inverse(b),
% double_divide(b,B))))))
% -> b
% Current number of equations to process: 548
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [148]
% double_divide(b,inverse(double_divide(b,inverse(double_divide(inverse(b),
% double_divide(b,double_divide(
% inverse(
% inverse(b)),
% double_divide(b,A))))))))
% -> A
% Rule
% [140]
% double_divide(b,inverse(double_divide(b,inverse(double_divide(inverse(b),
% double_divide(b,double_divide(
% inverse(
% inverse(b)),
% double_divide(b,
% double_divide(A,
% inverse(b))))))))))
% -> double_divide(A,inverse(b)) collapsed.
% Current number of equations to process: 547
% Current number of ordered equations: 0
% Current number of rules: 98
% Rule [144]
% double_divide(b,double_divide(A,double_divide(inverse(b),b))) <->
% double_divide(b,double_divide(b,double_divide(b,inverse(double_divide(
% inverse(b),
% double_divide(A,
% inverse(b))))))) is composed into 
% [144]
% double_divide(b,double_divide(A,double_divide(inverse(b),b))) <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(A,inverse(b)))))
% New rule produced :
% [149]
% double_divide(b,double_divide(b,double_divide(b,inverse(double_divide(
% inverse(b),A))))) ->
% double_divide(b,inverse(double_divide(inverse(b),A)))
% Rule
% [50]
% double_divide(b,double_divide(b,double_divide(b,inverse(double_divide(
% inverse(b),double_divide(
% inverse(A),
% inverse(b)))))))
% -> double_divide(b,A) collapsed.
% Rule
% [143]
% double_divide(b,double_divide(b,double_divide(b,inverse(double_divide(
% inverse(b),double_divide(A,
% inverse(b)))))))
% <-> double_divide(b,double_divide(A,double_divide(inverse(b),b))) collapsed.
% Current number of equations to process: 548
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [150]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(inverse(A),
% inverse(b))))) ->
% double_divide(b,A)
% Current number of equations to process: 547
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [151]
% double_divide(b,inverse(double_divide(inverse(double_divide(inverse(b),B)),
% double_divide(b,double_divide(A,double_divide(A,B))))))
% -> b
% Current number of equations to process: 545
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [152]
% double_divide(inverse(double_divide(inverse(b),double_divide(inverse(A),
% double_divide(b,inverse(
% double_divide(
% inverse(b),
% double_divide(b,A))))))),b)
% -> b
% Current number of equations to process: 544
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [153]
% double_divide(inverse(b),double_divide(b,inverse(double_divide(b,inverse(
% double_divide(
% inverse(b),
% double_divide(b,
% double_divide(
% inverse(b),
% double_divide(b,
% double_divide(
% inverse(
% inverse(b)),b))))))))))
% -> b
% Current number of equations to process: 543
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [154]
% double_divide(inverse(b),double_divide(b,inverse(double_divide(inverse(b),
% double_divide(b,double_divide(
% inverse(
% double_divide(
% inverse(A),A)),b))))))
% -> b
% Current number of equations to process: 542
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [155]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,
% double_divide(b,
% double_divide(
% inverse(B),B)))))))
% -> double_divide(A,double_divide(b,b))
% Current number of equations to process: 541
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [156]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(B,double_divide(B,
% inverse(
% double_divide(
% inverse(b),
% double_divide(b,
% inverse(b)))))))))
% -> A
% Current number of equations to process: 540
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [157]
% double_divide(b,inverse(double_divide(inverse(C),double_divide(b,double_divide(A,b)))))
% <->
% double_divide(inverse(double_divide(A,double_divide(inverse(B),B))),inverse(
% double_divide(
% inverse(C),b)))
% Current number of equations to process: 539
% Current number of ordered equations: 1
% Current number of rules: 105
% New rule produced :
% [158]
% double_divide(inverse(double_divide(A,double_divide(inverse(B),B))),inverse(
% double_divide(
% inverse(C),b)))
% <->
% double_divide(b,inverse(double_divide(inverse(C),double_divide(b,double_divide(A,b)))))
% Current number of equations to process: 539
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [159]
% double_divide(inverse(b),inverse(double_divide(A,inverse(double_divide(
% inverse(B),double_divide(A,
% double_divide(C,
% double_divide(C,
% inverse(B)))))))))
% -> b
% Current number of equations to process: 534
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [160]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,double_divide(b,
% inverse(
% double_divide(
% inverse(b),
% double_divide(b,
% inverse(B)))))))))
% -> b
% Current number of equations to process: 533
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [161]
% double_divide(b,double_divide(A,double_divide(A,inverse(double_divide(
% inverse(b),inverse(b))))))
% -> double_divide(b,inverse(double_divide(inverse(b),inverse(b))))
% Current number of equations to process: 539
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [162]
% double_divide(b,inverse(double_divide(B,inverse(double_divide(inverse(A),
% double_divide(B,b)))))) <->
% double_divide(b,inverse(double_divide(inverse(b),inverse(A))))
% Current number of equations to process: 540
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced :
% [163]
% double_divide(b,inverse(double_divide(inverse(b),inverse(A)))) <->
% double_divide(b,inverse(double_divide(B,inverse(double_divide(inverse(A),
% double_divide(B,b))))))
% Current number of equations to process: 540
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [164]
% double_divide(b,inverse(double_divide(b,inverse(double_divide(inverse(b),
% double_divide(b,A)))))) <->
% double_divide(b,inverse(double_divide(B,inverse(double_divide(inverse(A),
% double_divide(B,b))))))
% Current number of equations to process: 547
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [165]
% double_divide(b,inverse(double_divide(B,inverse(double_divide(inverse(A),
% double_divide(B,b)))))) <->
% double_divide(b,inverse(double_divide(b,inverse(double_divide(inverse(b),
% double_divide(b,A))))))
% Current number of equations to process: 547
% Current number of ordered equations: 0
% Current number of rules: 113
% Rule [69]
% double_divide(b,inverse(double_divide(A,inverse(double_divide(inverse(B),
% double_divide(A,b))))))
% <->
% double_divide(b,double_divide(C,double_divide(C,inverse(double_divide(
% inverse(b),
% inverse(B)))))) is composed into 
% [69]
% double_divide(b,inverse(double_divide(A,inverse(double_divide(inverse(B),
% double_divide(A,b)))))) <->
% double_divide(b,inverse(double_divide(inverse(b),inverse(B))))
% New rule produced :
% [166]
% double_divide(b,double_divide(B,double_divide(B,inverse(double_divide(
% inverse(b),inverse(A))))))
% -> double_divide(b,inverse(double_divide(inverse(b),inverse(A))))
% Rule
% [68]
% double_divide(b,double_divide(C,double_divide(C,inverse(double_divide(
% inverse(b),inverse(B))))))
% <->
% double_divide(b,inverse(double_divide(A,inverse(double_divide(inverse(B),
% double_divide(A,b))))))
% collapsed.
% Rule
% [161]
% double_divide(b,double_divide(A,double_divide(A,inverse(double_divide(
% inverse(b),inverse(b))))))
% -> double_divide(b,inverse(double_divide(inverse(b),inverse(b)))) collapsed.
% Current number of equations to process: 556
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [167]
% double_divide(A,inverse(b)) <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(
% inverse(B),
% inverse(
% double_divide(A,B)))))))
% Current number of equations to process: 560
% Current number of ordered equations: 1
% Current number of rules: 113
% New rule produced :
% [168]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(
% inverse(B),
% inverse(
% double_divide(A,B)))))))
% <-> double_divide(A,inverse(b))
% Rule
% [107]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(
% inverse(A),
% inverse(
% double_divide(b,A)))))))
% -> double_divide(b,inverse(b)) collapsed.
% Current number of equations to process: 560
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [169]
% double_divide(A,double_divide(B,double_divide(B,inverse(double_divide(
% inverse(b),inverse(C))))))
% <->
% double_divide(V_3,inverse(double_divide(inverse(C),double_divide(V_3,
% double_divide(A,inverse(b))))))
% Current number of equations to process: 606
% Current number of ordered equations: 1
% Current number of rules: 114
% New rule produced :
% [170]
% double_divide(V_3,inverse(double_divide(inverse(C),double_divide(V_3,
% double_divide(A,inverse(b))))))
% <->
% double_divide(A,double_divide(B,double_divide(B,inverse(double_divide(
% inverse(b),inverse(C))))))
% Current number of equations to process: 606
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [171]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,inverse(
% double_divide(
% inverse(b),
% double_divide(b,A)))))))
% -> double_divide(b,A)
% Current number of equations to process: 618
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [172]
% double_divide(b,double_divide(B,double_divide(B,inverse(double_divide(
% inverse(b),double_divide(
% inverse(A),
% inverse(b)))))))
% -> double_divide(b,A)
% Current number of equations to process: 623
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [173]
% double_divide(b,double_divide(b,double_divide(inverse(b),inverse(b)))) ->
% double_divide(inverse(b),inverse(b))
% Current number of equations to process: 630
% Current number of ordered equations: 0
% Current number of rules: 118
% Rule [106]
% double_divide(inverse(A),inverse(double_divide(inverse(B),A))) <->
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,
% double_divide(inverse(b),b))))) is composed into 
% [106] double_divide(inverse(A),inverse(double_divide(inverse(B),A))) -> B
% New rule produced :
% [174]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(b,double_divide(
% inverse(b),b)))))
% -> A
% Rule
% [105]
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,double_divide(
% inverse(b),b)))))
% <-> double_divide(inverse(A),inverse(double_divide(inverse(B),A))) collapsed.
% Current number of equations to process: 633
% Current number of ordered equations: 0
% Current number of rules: 118
% Rule [85]
% double_divide(b,double_divide(A,double_divide(A,inverse(B)))) <->
% double_divide(b,double_divide(b,double_divide(b,inverse(B)))) is composed into 
% [85]
% double_divide(b,double_divide(A,double_divide(A,inverse(B)))) ->
% double_divide(b,inverse(B))
% New rule produced :
% [175]
% double_divide(A,double_divide(b,double_divide(b,B))) -> double_divide(A,B)
% Rule
% [84]
% double_divide(b,double_divide(b,double_divide(b,inverse(B)))) <->
% double_divide(b,double_divide(A,double_divide(A,inverse(B)))) collapsed.
% Rule
% [149]
% double_divide(b,double_divide(b,double_divide(b,inverse(double_divide(
% inverse(b),A))))) ->
% double_divide(b,inverse(double_divide(inverse(b),A))) collapsed.
% Current number of equations to process: 643
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [176]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,inverse(
% double_divide(
% inverse(b),A))))))
% -> A
% Rule
% [171]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,inverse(
% double_divide(
% inverse(b),
% double_divide(b,A)))))))
% -> double_divide(b,A) collapsed.
% Current number of equations to process: 648
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [177]
% double_divide(A,double_divide(b,double_divide(inverse(C),inverse(b)))) <->
% double_divide(A,double_divide(B,double_divide(B,inverse(double_divide(
% inverse(b),double_divide(b,C))))))
% Current number of equations to process: 655
% Current number of ordered equations: 1
% Current number of rules: 118
% New rule produced :
% [178]
% double_divide(A,double_divide(B,double_divide(B,inverse(double_divide(
% inverse(b),double_divide(b,C))))))
% <-> double_divide(A,double_divide(b,double_divide(inverse(C),inverse(b))))
% Current number of equations to process: 655
% Current number of ordered equations: 0
% Current number of rules: 119
% Rule [177]
% double_divide(A,double_divide(b,double_divide(inverse(C),inverse(b))))
% <->
% double_divide(A,double_divide(B,double_divide(B,inverse(double_divide(
% inverse(b),
% double_divide(b,C)))))) is composed into 
% [177]
% double_divide(A,double_divide(b,double_divide(inverse(C),inverse(b)))) <->
% double_divide(A,inverse(double_divide(inverse(b),double_divide(b,C))))
% Rule [170]
% double_divide(V_3,inverse(double_divide(inverse(C),double_divide(V_3,
% double_divide(A,
% inverse(b)))))) <->
% double_divide(A,double_divide(B,double_divide(B,inverse(double_divide(
% inverse(b),
% inverse(C)))))) is composed into 
% [170]
% double_divide(V_3,inverse(double_divide(inverse(C),double_divide(V_3,
% double_divide(A,inverse(b))))))
% <-> double_divide(A,inverse(double_divide(inverse(b),inverse(C))))
% Rule [87]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,A))))
% <->
% double_divide(inverse(b),double_divide(B,double_divide(B,inverse(A)))) is composed into 
% [87]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,A)))) ->
% double_divide(inverse(b),inverse(A))
% Rule [62]
% double_divide(inverse(b),b) <->
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,
% double_divide(C,
% double_divide(C,
% inverse(B))))))) is composed into 
% [62]
% double_divide(inverse(b),b) <->
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,inverse(B)))))
% Rule [38]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,
% double_divide(A,B)))))
% <->
% double_divide(A,double_divide(C,double_divide(C,inverse(double_divide(
% inverse(b),B))))) is composed into 
% [38]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,B)))))
% <-> double_divide(A,inverse(double_divide(inverse(b),B)))
% New rule produced : [179] double_divide(A,double_divide(A,B)) -> B
% Rule
% [10]
% double_divide(inverse(A),double_divide(B,double_divide(B,inverse(double_divide(
% inverse(b),A)))))
% -> b collapsed.
% Rule
% [14]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,
% double_divide(A,
% inverse(
% double_divide(
% inverse(b),B))))))))
% -> B collapsed.
% Rule
% [22]
% double_divide(inverse(double_divide(A,double_divide(B,double_divide(B,
% inverse(double_divide(
% inverse(b),C)))))),
% double_divide(A,C)) -> b collapsed.
% Rule
% [32]
% double_divide(inverse(b),double_divide(A,inverse(double_divide(inverse(B),
% double_divide(A,double_divide(C,
% double_divide(C,
% inverse(B))))))))
% -> b collapsed.
% Rule
% [37]
% double_divide(A,double_divide(C,double_divide(C,inverse(double_divide(
% inverse(b),B))))) <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,B)))))
% collapsed.
% Rule
% [61]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,double_divide(C,
% double_divide(C,
% inverse(B)))))))
% <-> double_divide(inverse(b),b) collapsed.
% Rule
% [78]
% double_divide(B,double_divide(C,double_divide(C,inverse(double_divide(
% inverse(b),double_divide(B,
% inverse(
% double_divide(
% inverse(b),A))))))))
% -> A collapsed.
% Rule
% [79]
% double_divide(A,double_divide(B,double_divide(B,inverse(b)))) ->
% double_divide(A,inverse(b)) collapsed.
% Rule
% [80]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,
% double_divide(A,
% double_divide(
% inverse(C),C)))))))
% -> b collapsed.
% Rule
% [85]
% double_divide(b,double_divide(A,double_divide(A,inverse(B)))) ->
% double_divide(b,inverse(B)) collapsed.
% Rule
% [86]
% double_divide(inverse(double_divide(inverse(b),double_divide(A,double_divide(A,
% inverse(B))))),B)
% -> b collapsed.
% Rule
% [88]
% double_divide(inverse(b),double_divide(B,double_divide(B,inverse(A)))) <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,A))))
% collapsed.
% Rule
% [117]
% double_divide(inverse(double_divide(b,double_divide(inverse(A),A))),inverse(
% double_divide(b,
% double_divide(b,b))))
% -> double_divide(b,inverse(b)) collapsed.
% Rule
% [124]
% double_divide(inverse(A),inverse(double_divide(b,double_divide(B,double_divide(B,
% inverse(
% double_divide(
% inverse(b),A)))))))
% -> double_divide(b,inverse(b)) collapsed.
% Rule
% [126]
% double_divide(inverse(double_divide(b,A)),inverse(double_divide(b,double_divide(b,
% double_divide(
% inverse(A),
% inverse(b))))))
% -> double_divide(b,inverse(b)) collapsed.
% Rule
% [132]
% double_divide(inverse(double_divide(A,double_divide(A,inverse(B)))),inverse(B))
% -> double_divide(inverse(b),b) collapsed.
% Rule
% [141]
% double_divide(inverse(inverse(double_divide(inverse(B),double_divide(b,
% double_divide(C,
% double_divide(C,
% inverse(B))))))),
% inverse(A)) -> double_divide(b,inverse(A)) collapsed.
% Rule
% [142]
% double_divide(B,double_divide(B,double_divide(inverse(b),b))) ->
% double_divide(inverse(b),b) collapsed.
% Rule
% [151]
% double_divide(b,inverse(double_divide(inverse(double_divide(inverse(b),B)),
% double_divide(b,double_divide(A,double_divide(A,B))))))
% -> b collapsed.
% Rule
% [156]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(B,double_divide(B,
% inverse(
% double_divide(
% inverse(b),
% double_divide(b,
% inverse(b)))))))))
% -> A collapsed.
% Rule
% [159]
% double_divide(inverse(b),inverse(double_divide(A,inverse(double_divide(
% inverse(B),double_divide(A,
% double_divide(C,
% double_divide(C,
% inverse(B)))))))))
% -> b collapsed.
% Rule
% [166]
% double_divide(b,double_divide(B,double_divide(B,inverse(double_divide(
% inverse(b),inverse(A))))))
% -> double_divide(b,inverse(double_divide(inverse(b),inverse(A)))) collapsed.
% Rule
% [169]
% double_divide(A,double_divide(B,double_divide(B,inverse(double_divide(
% inverse(b),inverse(C))))))
% <->
% double_divide(V_3,inverse(double_divide(inverse(C),double_divide(V_3,
% double_divide(A,inverse(b))))))
% collapsed.
% Rule
% [172]
% double_divide(b,double_divide(B,double_divide(B,inverse(double_divide(
% inverse(b),double_divide(
% inverse(A),
% inverse(b)))))))
% -> double_divide(b,A) collapsed.
% Rule
% [173]
% double_divide(b,double_divide(b,double_divide(inverse(b),inverse(b)))) ->
% double_divide(inverse(b),inverse(b)) collapsed.
% Rule
% [175]
% double_divide(A,double_divide(b,double_divide(b,B))) -> double_divide(A,B)
% collapsed.
% Rule
% [178]
% double_divide(A,double_divide(B,double_divide(B,inverse(double_divide(
% inverse(b),double_divide(b,C))))))
% <-> double_divide(A,double_divide(b,double_divide(inverse(C),inverse(b))))
% collapsed.
% Current number of equations to process: 679
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [180]
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,double_divide(
% inverse(b),B)))))
% -> b
% Current number of equations to process: 678
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [181]
% double_divide(inverse(A),inverse(double_divide(b,inverse(double_divide(
% inverse(b),A))))) ->
% double_divide(b,inverse(b))
% Current number of equations to process: 677
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [182]
% double_divide(inverse(double_divide(b,A)),inverse(double_divide(inverse(A),
% inverse(b)))) ->
% double_divide(b,inverse(b))
% Current number of equations to process: 676
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [183]
% double_divide(inverse(b),double_divide(A,inverse(double_divide(inverse(B),
% double_divide(A,inverse(B))))))
% -> b
% Current number of equations to process: 675
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [184]
% double_divide(B,inverse(double_divide(inverse(b),double_divide(B,inverse(
% double_divide(
% inverse(b),A))))))
% -> A
% Rule
% [176]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,inverse(
% double_divide(
% inverse(b),A))))))
% -> A collapsed.
% Current number of equations to process: 674
% Current number of ordered equations: 0
% Current number of rules: 97
% Rule [128]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(inverse(B),B))))
% <->
% double_divide(inverse(inverse(double_divide(inverse(b),double_divide(b,
% inverse(b))))),
% inverse(A)) is composed into [128]
% double_divide(b,inverse(double_divide(
% inverse(A),
% double_divide(
% inverse(B),B)))) ->
% double_divide(b,inverse(A))
% New rule produced :
% [185]
% double_divide(inverse(inverse(double_divide(inverse(B),double_divide(b,
% inverse(B))))),
% inverse(A)) -> double_divide(b,inverse(A))
% Rule
% [127]
% double_divide(inverse(inverse(double_divide(inverse(b),double_divide(b,
% inverse(b))))),
% inverse(A)) <->
% double_divide(b,inverse(double_divide(inverse(A),double_divide(inverse(B),B))))
% collapsed.
% Current number of equations to process: 672
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [186]
% double_divide(A,inverse(double_divide(inverse(b),B))) <->
% double_divide(inverse(b),inverse(double_divide(A,B)))
% Current number of equations to process: 671
% Current number of ordered equations: 1
% Current number of rules: 98
% Rule [81]
% double_divide(A,inverse(b)) <->
% double_divide(inverse(b),inverse(double_divide(b,inverse(double_divide(
% inverse(b),
% double_divide(b,
% double_divide(A,b))))))) is composed into 
% [81]
% double_divide(A,inverse(b)) <->
% double_divide(b,inverse(double_divide(inverse(b),inverse(double_divide(
% inverse(b),double_divide(b,
% double_divide(A,b)))))))
% New rule produced :
% [187]
% double_divide(inverse(b),inverse(double_divide(A,B))) <->
% double_divide(A,inverse(double_divide(inverse(b),B)))
% Rule
% [82]
% double_divide(inverse(b),inverse(double_divide(b,inverse(double_divide(
% inverse(b),double_divide(b,
% double_divide(A,b)))))))
% <-> double_divide(A,inverse(b)) collapsed.
% Rule
% [114]
% double_divide(inverse(b),inverse(double_divide(b,double_divide(inverse(A),A))))
% -> double_divide(b,inverse(b)) collapsed.
% Current number of equations to process: 672
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [188]
% double_divide(b,inverse(double_divide(inverse(A),inverse(double_divide(
% inverse(b),double_divide(b,
% inverse(b)))))))
% -> A
% Current number of equations to process: 676
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [189]
% double_divide(inverse(b),inverse(double_divide(A,inverse(double_divide(
% inverse(B),double_divide(A,
% inverse(B)))))))
% -> b
% Current number of equations to process: 675
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [190]
% double_divide(inverse(b),inverse(double_divide(inverse(b),inverse(inverse(b)))))
% -> b
% Current number of equations to process: 677
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [191]
% double_divide(A,double_divide(b,double_divide(inverse(b),inverse(inverse(b)))))
% <->
% double_divide(inverse(b),inverse(double_divide(A,double_divide(b,inverse(b)))))
% Current number of equations to process: 685
% Current number of ordered equations: 1
% Current number of rules: 101
% New rule produced :
% [192]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(b,inverse(b)))))
% <->
% double_divide(A,double_divide(b,double_divide(inverse(b),inverse(inverse(b)))))
% Current number of equations to process: 685
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [193]
% double_divide(b,inverse(double_divide(inverse(b),inverse(double_divide(
% inverse(inverse(b)),
% double_divide(b,b))))))
% -> b
% Current number of equations to process: 685
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [194]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(inverse(B),B))))
% -> double_divide(A,inverse(b))
% Current number of equations to process: 685
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [195]
% double_divide(b,inverse(double_divide(inverse(b),inverse(double_divide(
% inverse(A),double_divide(b,
% inverse(b)))))))
% -> A
% Current number of equations to process: 689
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [196]
% double_divide(inverse(double_divide(A,B)),double_divide(A,double_divide(
% inverse(b),
% inverse(B)))) -> b
% Current number of equations to process: 694
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [197]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(b,double_divide(
% inverse(b),
% inverse(
% inverse(A)))))))
% -> b
% Current number of equations to process: 692
% Current number of ordered equations: 1
% Current number of rules: 107
% New rule produced :
% [198]
% double_divide(b,inverse(double_divide(inverse(double_divide(inverse(b),
% double_divide(b,A))),inverse(
% inverse(A)))))
% -> b
% Current number of equations to process: 692
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [199]
% double_divide(inverse(A),inverse(b)) <-> double_divide(inverse(b),inverse(A))
% Current number of equations to process: 694
% Current number of ordered equations: 1
% Current number of rules: 109
% New rule produced :
% [200]
% double_divide(inverse(b),inverse(A)) <-> double_divide(inverse(A),inverse(b))
% Current number of equations to process: 694
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [201]
% double_divide(inverse(b),inverse(inverse(double_divide(inverse(b),double_divide(b,A)))))
% -> double_divide(b,A)
% Current number of equations to process: 693
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [202] double_divide(inverse(b),inverse(double_divide(inverse(A),A))) -> b
% Current number of equations to process: 694
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [203]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(A,inverse(
% double_divide(
% inverse(b),B))))))
% -> double_divide(b,double_divide(A,B))
% Current number of equations to process: 700
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [204]
% double_divide(inverse(b),inverse(inverse(double_divide(B,inverse(double_divide(
% inverse(A),
% double_divide(B,b)))))))
% -> inverse(A)
% Current number of equations to process: 700
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [205] double_divide(b,inverse(inverse(A))) -> double_divide(b,A)
% Current number of equations to process: 704
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [206]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(inverse(b),
% inverse(B))))) ->
% double_divide(A,B)
% Current number of equations to process: 706
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [207]
% double_divide(A,double_divide(b,double_divide(inverse(B),inverse(b)))) <->
% double_divide(inverse(b),inverse(double_divide(A,double_divide(b,B))))
% Current number of equations to process: 705
% Current number of ordered equations: 1
% Current number of rules: 117
% New rule produced :
% [208]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(b,B)))) <->
% double_divide(A,double_divide(b,double_divide(inverse(B),inverse(b))))
% Current number of equations to process: 705
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [209]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,double_divide(C,
% inverse(b))))))
% <-> double_divide(inverse(b),inverse(double_divide(C,inverse(B))))
% Current number of equations to process: 704
% Current number of ordered equations: 1
% Current number of rules: 119
% New rule produced :
% [210]
% double_divide(inverse(b),inverse(double_divide(C,inverse(B)))) <->
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,double_divide(C,
% inverse(b))))))
% Current number of equations to process: 704
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [211]
% double_divide(b,inverse(double_divide(A,double_divide(b,b)))) ->
% double_divide(A,inverse(b))
% Rule
% [83]
% double_divide(b,inverse(double_divide(inverse(double_divide(A,double_divide(
% inverse(B),B))),
% double_divide(b,b)))) -> double_divide(A,inverse(b))
% collapsed.
% Current number of equations to process: 708
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [212]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(inverse(A),
% inverse(B))))) <->
% double_divide(inverse(b),inverse(inverse(double_divide(inverse(B),double_divide(b,A)))))
% Current number of equations to process: 706
% Current number of ordered equations: 3
% Current number of rules: 121
% New rule produced :
% [213]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(inverse(b),
% inverse(B))))) <->
% double_divide(inverse(inverse(double_divide(inverse(b),double_divide(b,B)))),
% inverse(A))
% Current number of equations to process: 706
% Current number of ordered equations: 2
% Current number of rules: 122
% New rule produced :
% [214]
% double_divide(inverse(b),inverse(inverse(double_divide(inverse(B),double_divide(b,A)))))
% <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(inverse(A),
% inverse(B)))))
% Current number of equations to process: 706
% Current number of ordered equations: 1
% Current number of rules: 123
% New rule produced :
% [215]
% double_divide(inverse(inverse(double_divide(inverse(b),double_divide(b,B)))),
% inverse(A)) <->
% double_divide(b,inverse(double_divide(inverse(A),double_divide(inverse(b),
% inverse(B)))))
% Current number of equations to process: 706
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [216]
% double_divide(inverse(b),inverse(inverse(double_divide(inverse(A),double_divide(b,
% double_divide(
% inverse(B),B))))))
% -> double_divide(b,inverse(double_divide(inverse(b),A)))
% Current number of equations to process: 705
% Current number of ordered equations: 0
% Current number of rules: 125
% Rule [81]
% double_divide(A,inverse(b)) <->
% double_divide(b,inverse(double_divide(inverse(b),inverse(double_divide(
% inverse(b),
% double_divide(b,
% double_divide(A,b))))))) is composed into 
% [81]
% double_divide(A,inverse(b)) <->
% double_divide(inverse(b),inverse(double_divide(inverse(b),inverse(double_divide(A,b)))))
% New rule produced :
% [217]
% double_divide(b,inverse(double_divide(inverse(b),inverse(double_divide(
% inverse(b),double_divide(b,A))))))
% -> double_divide(inverse(b),inverse(double_divide(inverse(b),inverse(A))))
% Current number of equations to process: 704
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [218]
% double_divide(A,double_divide(b,double_divide(inverse(B),B))) <->
% double_divide(inverse(b),inverse(double_divide(A,double_divide(b,inverse(b)))))
% Current number of equations to process: 706
% Current number of ordered equations: 1
% Current number of rules: 127
% New rule produced :
% [219]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(b,inverse(b)))))
% <-> double_divide(A,double_divide(b,double_divide(inverse(B),B)))
% Current number of equations to process: 706
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [220]
% double_divide(b,inverse(double_divide(inverse(b),inverse(double_divide(A,
% double_divide(b,
% double_divide(
% inverse(B),B)))))))
% -> double_divide(A,inverse(b))
% Current number of equations to process: 707
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [221]
% double_divide(A,inverse(double_divide(inverse(b),double_divide(inverse(B),
% inverse(b))))) ->
% double_divide(A,B)
% Rule
% [150]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(inverse(A),
% inverse(b))))) ->
% double_divide(b,A) collapsed.
% Current number of equations to process: 709
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [222]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(inverse(B),
% inverse(b))))) ->
% double_divide(A,B)
% Current number of equations to process: 709
% Current number of ordered equations: 0
% Current number of rules: 130
% Rule [108]
% double_divide(inverse(b),inverse(double_divide(inverse(A),b))) <->
% double_divide(inverse(double_divide(inverse(B),B)),inverse(A)) is composed into 
% [108] double_divide(inverse(b),inverse(double_divide(inverse(A),b))) -> A
% New rule produced :
% [223] double_divide(inverse(double_divide(inverse(B),B)),inverse(A)) -> A
% Rule
% [109]
% double_divide(inverse(double_divide(inverse(B),B)),inverse(A)) <->
% double_divide(inverse(b),inverse(double_divide(inverse(A),b))) collapsed.
% Current number of equations to process: 716
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [224]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,inverse(B)))))
% <-> double_divide(inverse(b),inverse(inverse(b)))
% Current number of equations to process: 717
% Current number of ordered equations: 1
% Current number of rules: 131
% New rule produced :
% [225]
% double_divide(inverse(b),inverse(inverse(b))) <->
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,inverse(B)))))
% Current number of equations to process: 717
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [226]
% double_divide(A,double_divide(B,inverse(double_divide(inverse(C),double_divide(B,
% inverse(C))))))
% <-> double_divide(inverse(b),inverse(double_divide(A,b)))
% Current number of equations to process: 716
% Current number of ordered equations: 1
% Current number of rules: 133
% New rule produced :
% [227]
% double_divide(inverse(b),inverse(double_divide(A,b))) <->
% double_divide(A,double_divide(B,inverse(double_divide(inverse(C),double_divide(B,
% inverse(C))))))
% Current number of equations to process: 716
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [228]
% double_divide(A,double_divide(inverse(B),B)) <->
% double_divide(inverse(b),inverse(double_divide(A,b)))
% Current number of equations to process: 717
% Current number of ordered equations: 1
% Current number of rules: 135
% New rule produced :
% [229]
% double_divide(inverse(b),inverse(double_divide(A,b))) <->
% double_divide(A,double_divide(inverse(B),B))
% Current number of equations to process: 717
% Current number of ordered equations: 0
% Current number of rules: 136
% Rule [224]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,
% inverse(B))))) <->
% double_divide(inverse(b),inverse(inverse(b))) is composed into [224]
% double_divide(A,
% inverse(
% double_divide(
% inverse(B),
% double_divide(A,
% inverse(B)))))
% <->
% double_divide(
% inverse(b),b)
% Rule [192]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(b,
% inverse(b))))) <->
% double_divide(A,double_divide(b,double_divide(inverse(b),inverse(
% inverse(b))))) is composed into 
% [192]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(b,inverse(b)))))
% <-> double_divide(A,double_divide(b,double_divide(inverse(b),b)))
% New rule produced :
% [230]
% double_divide(inverse(b),inverse(inverse(b))) -> double_divide(inverse(b),b)
% Rule
% [190]
% double_divide(inverse(b),inverse(double_divide(inverse(b),inverse(inverse(b)))))
% -> b collapsed.
% Rule
% [191]
% double_divide(A,double_divide(b,double_divide(inverse(b),inverse(inverse(b)))))
% <->
% double_divide(inverse(b),inverse(double_divide(A,double_divide(b,inverse(b)))))
% collapsed.
% Rule
% [225]
% double_divide(inverse(b),inverse(inverse(b))) <->
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,inverse(B)))))
% collapsed.
% Current number of equations to process: 718
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [231]
% inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,
% inverse(B)))))) <->
% double_divide(inverse(b),b)
% Current number of equations to process: 731
% Current number of ordered equations: 1
% Current number of rules: 135
% New rule produced :
% [232]
% double_divide(inverse(b),b) <->
% inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,
% inverse(B))))))
% Current number of equations to process: 731
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [233]
% double_divide(inverse(A),double_divide(B,inverse(double_divide(inverse(C),
% double_divide(B,inverse(C))))))
% -> A
% Rule
% [183]
% double_divide(inverse(b),double_divide(A,inverse(double_divide(inverse(B),
% double_divide(A,inverse(B))))))
% -> b collapsed.
% Current number of equations to process: 733
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [234]
% double_divide(b,inverse(double_divide(inverse(b),inverse(double_divide(
% inverse(inverse(b)),
% double_divide(b,A))))))
% -> A
% Rule
% [193]
% double_divide(b,inverse(double_divide(inverse(b),inverse(double_divide(
% inverse(inverse(b)),
% double_divide(b,b))))))
% -> b collapsed.
% Current number of equations to process: 732
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [235]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,double_divide(
% inverse(b),b)))))
% <->
% double_divide(inverse(b),inverse(double_divide(inverse(inverse(b)),inverse(B))))
% Current number of equations to process: 739
% Current number of ordered equations: 1
% Current number of rules: 137
% New rule produced :
% [236]
% double_divide(inverse(b),inverse(double_divide(inverse(inverse(b)),inverse(B))))
% <->
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,double_divide(
% inverse(b),b)))))
% Current number of equations to process: 739
% Current number of ordered equations: 0
% Current number of rules: 138
% Rule [136]
% double_divide(inverse(double_divide(inverse(inverse(A)),B)),inverse(A))
% ->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,
% double_divide(inverse(
% inverse(b)),B))))) is composed into 
% [136]
% double_divide(inverse(double_divide(inverse(inverse(A)),B)),inverse(A)) ->
% double_divide(inverse(b),inverse(double_divide(inverse(inverse(b)),B)))
% Rule [97]
% double_divide(B,inverse(double_divide(inverse(C),double_divide(B,
% double_divide(inverse(
% inverse(C)),A)))))
% <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,
% double_divide(inverse(
% inverse(b)),A))))) is composed into 
% [97]
% double_divide(B,inverse(double_divide(inverse(C),double_divide(B,double_divide(
% inverse(
% inverse(C)),A)))))
% <-> double_divide(inverse(b),inverse(double_divide(inverse(inverse(b)),A)))
% Rule [63]
% double_divide(B,inverse(double_divide(inverse(C),double_divide(B,
% double_divide(inverse(
% inverse(C)),A)))))
% <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,
% double_divide(inverse(
% inverse(b)),A))))) is composed into 
% [63]
% double_divide(B,inverse(double_divide(inverse(C),double_divide(B,double_divide(
% inverse(
% inverse(C)),A)))))
% <-> double_divide(inverse(b),inverse(double_divide(inverse(inverse(b)),A)))
% New rule produced :
% [237]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(b,double_divide(
% inverse(
% inverse(A)),B)))))
% <-> double_divide(inverse(b),inverse(double_divide(inverse(inverse(b)),B)))
% Rule
% [148]
% double_divide(b,inverse(double_divide(b,inverse(double_divide(inverse(b),
% double_divide(b,double_divide(
% inverse(
% inverse(b)),
% double_divide(b,A))))))))
% -> A collapsed.
% Current number of equations to process: 739
% Current number of ordered equations: 1
% Current number of rules: 138
% New rule produced :
% [238]
% double_divide(inverse(b),inverse(double_divide(inverse(inverse(b)),B))) <->
% double_divide(b,inverse(double_divide(inverse(A),double_divide(b,double_divide(
% inverse(
% inverse(A)),B)))))
% Current number of equations to process: 739
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [239]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,double_divide(
% inverse(b),
% inverse(
% inverse(B)))))))
% -> b
% Rule
% [197]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(b,double_divide(
% inverse(b),
% inverse(
% inverse(A)))))))
% -> b collapsed.
% Current number of equations to process: 743
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [240]
% double_divide(A,double_divide(B,double_divide(inverse(b),b))) <->
% double_divide(inverse(b),inverse(double_divide(A,double_divide(B,inverse(b)))))
% Current number of equations to process: 767
% Current number of ordered equations: 1
% Current number of rules: 140
% New rule produced :
% [241]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(B,inverse(b)))))
% <-> double_divide(A,double_divide(B,double_divide(inverse(b),b)))
% Rule
% [192]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(b,inverse(b)))))
% <-> double_divide(A,double_divide(b,double_divide(inverse(b),b))) collapsed.
% Current number of equations to process: 767
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [242]
% double_divide(inverse(b),inverse(double_divide(A,inverse(double_divide(b,
% double_divide(A,
% double_divide(
% inverse(b),b)))))))
% -> double_divide(b,inverse(b))
% Current number of equations to process: 774
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [243]
% double_divide(B,inverse(double_divide(inverse(b),inverse(double_divide(A,
% double_divide(B,
% double_divide(
% inverse(b),b)))))))
% -> double_divide(A,inverse(b))
% Current number of equations to process: 773
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [244]
% double_divide(inverse(b),inverse(double_divide(B,inverse(double_divide(A,
% double_divide(B,
% double_divide(
% inverse(b),b)))))))
% -> double_divide(A,inverse(b))
% Rule
% [242]
% double_divide(inverse(b),inverse(double_divide(A,inverse(double_divide(b,
% double_divide(A,
% double_divide(
% inverse(b),b)))))))
% -> double_divide(b,inverse(b)) collapsed.
% Current number of equations to process: 777
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [245]
% double_divide(b,inverse(double_divide(inverse(b),inverse(double_divide(
% inverse(inverse(b)),
% inverse(A)))))) ->
% double_divide(b,inverse(A))
% Current number of equations to process: 787
% Current number of ordered equations: 0
% Current number of rules: 143
% Rule [236]
% double_divide(inverse(b),inverse(double_divide(inverse(inverse(b)),
% inverse(B)))) <->
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,
% double_divide(inverse(b),b))))) is composed into 
% [236]
% double_divide(inverse(b),inverse(double_divide(inverse(inverse(b)),inverse(B))))
% <-> double_divide(inverse(B),double_divide(inverse(b),b))
% New rule produced :
% [246]
% double_divide(B,inverse(double_divide(A,double_divide(B,double_divide(
% inverse(b),b))))) ->
% double_divide(A,double_divide(inverse(b),b))
% Rule
% [174]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(b,double_divide(
% inverse(b),b)))))
% -> A collapsed.
% Rule
% [235]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,double_divide(
% inverse(b),b)))))
% <->
% double_divide(inverse(b),inverse(double_divide(inverse(inverse(b)),inverse(B))))
% collapsed.
% Rule
% [244]
% double_divide(inverse(b),inverse(double_divide(B,inverse(double_divide(A,
% double_divide(B,
% double_divide(
% inverse(b),b)))))))
% -> double_divide(A,inverse(b)) collapsed.
% Current number of equations to process: 810
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [247]
% double_divide(inverse(b),inverse(double_divide(inverse(inverse(b)),inverse(B))))
% -> B
% Rule
% [236]
% double_divide(inverse(b),inverse(double_divide(inverse(inverse(b)),inverse(B))))
% <-> double_divide(inverse(B),double_divide(inverse(b),b)) collapsed.
% Rule
% [245]
% double_divide(b,inverse(double_divide(inverse(b),inverse(double_divide(
% inverse(inverse(b)),
% inverse(A)))))) ->
% double_divide(b,inverse(A)) collapsed.
% Current number of equations to process: 809
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [248]
% double_divide(inverse(double_divide(A,double_divide(inverse(b),b))),inverse(B))
% -> double_divide(A,inverse(B))
% Current number of equations to process: 810
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [249]
% double_divide(inverse(double_divide(A,double_divide(inverse(b),inverse(
% double_divide(B,b))))),
% double_divide(A,double_divide(B,inverse(b)))) -> b
% Current number of equations to process: 814
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [250]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(B,inverse(
% double_divide(
% inverse(C),
% double_divide(B,
% inverse(C))))))))
% -> double_divide(A,inverse(b))
% Current number of equations to process: 814
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [251]
% double_divide(b,double_divide(A,inverse(B))) <->
% double_divide(inverse(b),inverse(inverse(double_divide(inverse(B),double_divide(b,
% double_divide(A,
% inverse(b)))))))
% Current number of equations to process: 813
% Current number of ordered equations: 1
% Current number of rules: 144
% New rule produced :
% [252]
% double_divide(inverse(b),inverse(inverse(double_divide(inverse(B),double_divide(b,
% double_divide(A,
% inverse(b)))))))
% <-> double_divide(b,double_divide(A,inverse(B)))
% Current number of equations to process: 813
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [253]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,b)))) <->
% double_divide(inverse(b),inverse(B))
% Rule
% [69]
% double_divide(b,inverse(double_divide(A,inverse(double_divide(inverse(B),
% double_divide(A,b)))))) <->
% double_divide(b,inverse(double_divide(inverse(b),inverse(B)))) collapsed.
% Rule
% [162]
% double_divide(b,inverse(double_divide(B,inverse(double_divide(inverse(A),
% double_divide(B,b)))))) <->
% double_divide(b,inverse(double_divide(inverse(b),inverse(A)))) collapsed.
% Current number of equations to process: 817
% Current number of ordered equations: 1
% Current number of rules: 144
% New rule produced :
% [254]
% double_divide(inverse(b),inverse(B)) <->
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,b))))
% Rule
% [163]
% double_divide(b,inverse(double_divide(inverse(b),inverse(A)))) <->
% double_divide(b,inverse(double_divide(B,inverse(double_divide(inverse(A),
% double_divide(B,b))))))
% collapsed.
% Current number of equations to process: 817
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [255]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C)))) <->
% double_divide(inverse(C),inverse(B))
% Rule
% [9]
% double_divide(V_3,inverse(double_divide(inverse(double_divide(inverse(
% double_divide(
% inverse(B),
% double_divide(A,C))),
% double_divide(b,double_divide(A,
% inverse(
% double_divide(
% inverse(V_3),B)))))),
% double_divide(V_3,double_divide(b,C))))) -> V_3
% collapsed.
% Rule
% [23]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,A)))) <->
% double_divide(inverse(A),inverse(b)) collapsed.
% Rule
% [57]
% double_divide(b,inverse(double_divide(inverse(double_divide(A,B)),double_divide(b,B))))
% -> double_divide(A,double_divide(inverse(b),b)) collapsed.
% Rule
% [59]
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,A)))) <->
% double_divide(inverse(A),inverse(B)) collapsed.
% Rule
% [253]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,b)))) <->
% double_divide(inverse(b),inverse(B)) collapsed.
% Current number of equations to process: 825
% Current number of ordered equations: 1
% Current number of rules: 140
% New rule produced :
% [256]
% double_divide(inverse(C),inverse(B)) <->
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))
% Rule
% [24]
% double_divide(inverse(A),inverse(b)) <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,A))))
% collapsed.
% Rule
% [102]
% double_divide(b,inverse(double_divide(inverse(double_divide(inverse(A),
% double_divide(b,inverse(B)))),
% inverse(B)))) -> A collapsed.
% Rule
% [135]
% double_divide(inverse(double_divide(inverse(inverse(A)),B)),inverse(double_divide(
% inverse(A),b)))
% -> double_divide(inverse(inverse(b)),B) collapsed.
% Rule
% [136]
% double_divide(inverse(double_divide(inverse(inverse(A)),B)),inverse(A)) ->
% double_divide(inverse(b),inverse(double_divide(inverse(inverse(b)),B)))
% collapsed.
% Rule
% [198]
% double_divide(b,inverse(double_divide(inverse(double_divide(inverse(b),
% double_divide(b,A))),inverse(
% inverse(A)))))
% -> b collapsed.
% Rule
% [254]
% double_divide(inverse(b),inverse(B)) <->
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,b))))
% collapsed.
% Current number of equations to process: 827
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [257]
% double_divide(inverse(double_divide(A,B)),double_divide(A,double_divide(C,
% inverse(double_divide(
% inverse(b),
% double_divide(C,B))))))
% -> b
% Rule
% [11]
% double_divide(inverse(double_divide(A,B)),double_divide(A,double_divide(b,
% inverse(double_divide(
% inverse(b),
% double_divide(b,B))))))
% -> b collapsed.
% Current number of equations to process: 831
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [258]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,double_divide(
% inverse(b),
% inverse(
% double_divide(C,b)))))))
% <-> double_divide(C,inverse(B))
% Current number of equations to process: 830
% Current number of ordered equations: 1
% Current number of rules: 136
% New rule produced :
% [259]
% double_divide(C,inverse(B)) <->
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,double_divide(
% inverse(b),
% inverse(
% double_divide(C,b)))))))
% Current number of equations to process: 830
% Current number of ordered equations: 0
% Current number of rules: 137
% Rule [28]
% double_divide(inverse(b),inverse(double_divide(inverse(A),b))) <->
% double_divide(b,inverse(double_divide(inverse(A),double_divide(b,
% double_divide(inverse(B),B))))) is composed into 
% [28] double_divide(inverse(b),inverse(double_divide(inverse(A),b))) -> A
% New rule produced :
% [260]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(b,double_divide(
% inverse(B),B)))))
% -> A
% Rule
% [25]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(
% inverse(A),A)))))
% -> b collapsed.
% Rule
% [27]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(b,double_divide(
% inverse(B),B)))))
% <-> double_divide(inverse(b),inverse(double_divide(inverse(A),b))) collapsed.
% Current number of equations to process: 833
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [261]
% double_divide(A,double_divide(b,double_divide(inverse(b),inverse(inverse(B)))))
% <->
% double_divide(inverse(b),inverse(double_divide(A,double_divide(b,inverse(B)))))
% Current number of equations to process: 839
% Current number of ordered equations: 1
% Current number of rules: 137
% New rule produced :
% [262]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(b,inverse(B)))))
% <->
% double_divide(A,double_divide(b,double_divide(inverse(b),inverse(inverse(B)))))
% Current number of equations to process: 839
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [263]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,double_divide(
% inverse(
% inverse(B)),
% inverse(C))))))
% -> C
% Current number of equations to process: 842
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [264]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(B,inverse(
% double_divide(
% inverse(b),
% double_divide(B,C)))))))
% -> double_divide(A,C)
% Current number of equations to process: 841
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [265]
% double_divide(A,inverse(double_divide(inverse(b),double_divide(b,double_divide(
% inverse(B),B)))))
% -> double_divide(A,double_divide(b,b))
% Current number of equations to process: 843
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [266]
% double_divide(C,inverse(double_divide(inverse(double_divide(inverse(A),V_3)),
% double_divide(C,double_divide(inverse(V_3),B))))) ->
% double_divide(inverse(A),B)
% Current number of equations to process: 843
% Current number of ordered equations: 2
% Current number of rules: 142
% New rule produced :
% [267]
% double_divide(V_3,inverse(C)) <->
% double_divide(inverse(A),inverse(double_divide(B,inverse(double_divide(
% inverse(C),double_divide(B,
% double_divide(V_3,A)))))))
% Current number of equations to process: 843
% Current number of ordered equations: 1
% Current number of rules: 143
% New rule produced :
% [268]
% double_divide(inverse(A),inverse(double_divide(B,inverse(double_divide(
% inverse(C),double_divide(B,
% double_divide(V_3,A)))))))
% <-> double_divide(V_3,inverse(C))
% Current number of equations to process: 843
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [269]
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,inverse(
% double_divide(
% inverse(C),A))))))
% <-> double_divide(inverse(A),inverse(double_divide(inverse(B),C)))
% Current number of equations to process: 842
% Current number of ordered equations: 1
% Current number of rules: 145
% New rule produced :
% [270]
% double_divide(inverse(A),inverse(double_divide(inverse(B),C))) <->
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,inverse(
% double_divide(
% inverse(C),A))))))
% Rule
% [182]
% double_divide(inverse(double_divide(b,A)),inverse(double_divide(inverse(A),
% inverse(b)))) ->
% double_divide(b,inverse(b)) collapsed.
% Current number of equations to process: 843
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [271]
% double_divide(A,double_divide(b,double_divide(B,inverse(double_divide(
% inverse(b),double_divide(B,C))))))
% <-> double_divide(inverse(b),inverse(double_divide(A,double_divide(b,C))))
% Current number of equations to process: 841
% Current number of ordered equations: 1
% Current number of rules: 146
% New rule produced :
% [272]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(b,C)))) <->
% double_divide(A,double_divide(b,double_divide(B,inverse(double_divide(
% inverse(b),double_divide(B,C))))))
% Current number of equations to process: 841
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [273]
% double_divide(A,inverse(double_divide(inverse(A),double_divide(A,inverse(
% double_divide(
% inverse(A),b))))))
% -> b
% Current number of equations to process: 840
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [274]
% double_divide(inverse(B),inverse(double_divide(inverse(b),inverse(double_divide(
% inverse(A),B)))))
% -> double_divide(inverse(b),inverse(A))
% Current number of equations to process: 840
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [275]
% double_divide(A,double_divide(b,double_divide(inverse(B),B))) <->
% double_divide(A,inverse(double_divide(inverse(b),double_divide(b,inverse(b)))))
% Current number of equations to process: 841
% Current number of ordered equations: 1
% Current number of rules: 150
% Rule [275]
% double_divide(A,double_divide(b,double_divide(inverse(B),B))) <->
% double_divide(A,inverse(double_divide(inverse(b),double_divide(b,
% inverse(b))))) is composed into 
% [275]
% double_divide(A,double_divide(b,double_divide(inverse(B),B))) <->
% double_divide(A,double_divide(b,double_divide(inverse(b),b)))
% New rule produced :
% [276]
% double_divide(A,inverse(double_divide(inverse(b),double_divide(b,inverse(b)))))
% <-> double_divide(A,double_divide(b,double_divide(inverse(B),B)))
% Rule
% [188]
% double_divide(b,inverse(double_divide(inverse(A),inverse(double_divide(
% inverse(b),double_divide(b,
% inverse(b)))))))
% -> A collapsed.
% Current number of equations to process: 841
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [277]
% double_divide(A,inverse(double_divide(inverse(b),double_divide(B,inverse(b)))))
% <-> double_divide(A,double_divide(B,double_divide(inverse(b),b)))
% Rule
% [276]
% double_divide(A,inverse(double_divide(inverse(b),double_divide(b,inverse(b)))))
% <-> double_divide(A,double_divide(b,double_divide(inverse(B),B))) collapsed.
% Current number of equations to process: 842
% Current number of ordered equations: 1
% Current number of rules: 150
% New rule produced :
% [278]
% double_divide(A,double_divide(B,double_divide(inverse(b),b))) <->
% double_divide(A,inverse(double_divide(inverse(b),double_divide(B,inverse(b)))))
% Rule
% [144]
% double_divide(b,double_divide(A,double_divide(inverse(b),b))) <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(A,inverse(b)))))
% collapsed.
% Current number of equations to process: 841
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [279]
% double_divide(inverse(inverse(A)),inverse(double_divide(B,inverse(double_divide(
% inverse(A),
% double_divide(B,C))))))
% -> C
% Current number of equations to process: 841
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [280]
% double_divide(A,inverse(double_divide(inverse(A),double_divide(A,inverse(
% double_divide(
% inverse(A),B))))))
% -> B
% Rule
% [273]
% double_divide(A,inverse(double_divide(inverse(A),double_divide(A,inverse(
% double_divide(
% inverse(A),b))))))
% -> b collapsed.
% Current number of equations to process: 841
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [281]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(inverse(C),
% inverse(double_divide(A,C))))))
% -> B
% Current number of equations to process: 844
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [282]
% double_divide(B,inverse(b)) <->
% double_divide(inverse(b),inverse(double_divide(inverse(A),inverse(double_divide(B,A)))))
% Rule
% [81]
% double_divide(A,inverse(b)) <->
% double_divide(inverse(b),inverse(double_divide(inverse(b),inverse(double_divide(A,b)))))
% collapsed.
% Current number of equations to process: 844
% Current number of ordered equations: 1
% Current number of rules: 152
% New rule produced :
% [283]
% double_divide(inverse(b),inverse(double_divide(inverse(A),inverse(double_divide(B,A)))))
% <-> double_divide(B,inverse(b))
% Current number of equations to process: 844
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [284]
% double_divide(inverse(B),inverse(double_divide(A,B))) <->
% double_divide(inverse(b),inverse(double_divide(A,b)))
% Current number of equations to process: 847
% Current number of ordered equations: 1
% Current number of rules: 154
% New rule produced :
% [285]
% double_divide(inverse(b),inverse(double_divide(A,b))) <->
% double_divide(inverse(B),inverse(double_divide(A,B)))
% Current number of equations to process: 847
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [286]
% double_divide(A,inverse(b)) <->
% double_divide(inverse(B),inverse(double_divide(inverse(b),inverse(double_divide(A,B)))))
% Current number of equations to process: 859
% Current number of ordered equations: 1
% Current number of rules: 156
% New rule produced :
% [287]
% double_divide(inverse(B),inverse(double_divide(inverse(b),inverse(double_divide(A,B)))))
% <-> double_divide(A,inverse(b))
% Current number of equations to process: 859
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [288]
% double_divide(inverse(inverse(double_divide(A,B))),inverse(double_divide(A,
% double_divide(
% inverse(b),b))))
% -> B
% Current number of equations to process: 867
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [289]
% double_divide(A,double_divide(B,inverse(double_divide(inverse(C),double_divide(B,
% inverse(C))))))
% <-> double_divide(inverse(V_3),inverse(double_divide(A,V_3)))
% Rule
% [226]
% double_divide(A,double_divide(B,inverse(double_divide(inverse(C),double_divide(B,
% inverse(C))))))
% <-> double_divide(inverse(b),inverse(double_divide(A,b))) collapsed.
% Current number of equations to process: 866
% Current number of ordered equations: 1
% Current number of rules: 158
% New rule produced :
% [290]
% double_divide(inverse(V_3),inverse(double_divide(A,V_3))) <->
% double_divide(A,double_divide(B,inverse(double_divide(inverse(C),double_divide(B,
% inverse(C))))))
% Rule
% [227]
% double_divide(inverse(b),inverse(double_divide(A,b))) <->
% double_divide(A,double_divide(B,inverse(double_divide(inverse(C),double_divide(B,
% inverse(C))))))
% collapsed.
% Current number of equations to process: 866
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [291]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(inverse(B),
% inverse(double_divide(b,B))))))
% -> double_divide(A,double_divide(b,b))
% Current number of equations to process: 865
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [292]
% double_divide(inverse(double_divide(A,double_divide(b,b))),double_divide(A,
% double_divide(
% inverse(B),
% inverse(double_divide(b,B)))))
% -> b
% Current number of equations to process: 869
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [293]
% double_divide(b,inverse(double_divide(inverse(double_divide(A,B)),double_divide(b,
% double_divide(
% inverse(B),
% double_divide(A,b))))))
% -> b
% Current number of equations to process: 868
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [294]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,double_divide(
% inverse(C),
% inverse(
% double_divide(V_3,C)))))))
% <-> double_divide(V_3,inverse(B))
% Rule
% [168]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(
% inverse(B),
% inverse(
% double_divide(A,B)))))))
% <-> double_divide(A,inverse(b)) collapsed.
% Rule
% [258]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,double_divide(
% inverse(b),
% inverse(
% double_divide(C,b)))))))
% <-> double_divide(C,inverse(B)) collapsed.
% Current number of equations to process: 867
% Current number of ordered equations: 1
% Current number of rules: 160
% New rule produced :
% [295]
% double_divide(V_3,inverse(B)) <->
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,double_divide(
% inverse(C),
% inverse(
% double_divide(V_3,C)))))))
% Rule
% [167]
% double_divide(A,inverse(b)) <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(
% inverse(B),
% inverse(
% double_divide(A,B)))))))
% collapsed.
% Rule
% [259]
% double_divide(C,inverse(B)) <->
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,double_divide(
% inverse(b),
% inverse(
% double_divide(C,b)))))))
% collapsed.
% Current number of equations to process: 867
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [296]
% double_divide(inverse(double_divide(A,double_divide(inverse(B),inverse(
% double_divide(b,B))))),
% double_divide(A,double_divide(b,inverse(b)))) -> b
% Current number of equations to process: 920
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [297]
% double_divide(inverse(double_divide(A,double_divide(inverse(B),inverse(
% double_divide(C,B))))),
% double_divide(A,double_divide(C,inverse(b)))) -> b
% Rule
% [249]
% double_divide(inverse(double_divide(A,double_divide(inverse(b),inverse(
% double_divide(B,b))))),
% double_divide(A,double_divide(B,inverse(b)))) -> b collapsed.
% Rule
% [296]
% double_divide(inverse(double_divide(A,double_divide(inverse(B),inverse(
% double_divide(b,B))))),
% double_divide(A,double_divide(b,inverse(b)))) -> b collapsed.
% Current number of equations to process: 919
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [298]
% double_divide(b,inverse(double_divide(inverse(A),B))) <->
% double_divide(inverse(inverse(double_divide(inverse(double_divide(inverse(B),b)),
% double_divide(b,b)))),inverse(A))
% Current number of equations to process: 918
% Current number of ordered equations: 1
% Current number of rules: 160
% New rule produced :
% [299]
% double_divide(inverse(inverse(double_divide(inverse(double_divide(inverse(B),b)),
% double_divide(b,b)))),inverse(A)) <->
% double_divide(b,inverse(double_divide(inverse(A),B)))
% Current number of equations to process: 918
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [300]
% double_divide(b,inverse(double_divide(inverse(A),B))) <->
% double_divide(inverse(inverse(double_divide(inverse(B),double_divide(b,
% double_divide(
% inverse(b),b))))),
% inverse(A))
% Current number of equations to process: 917
% Current number of ordered equations: 1
% Current number of rules: 162
% New rule produced :
% [301]
% double_divide(inverse(inverse(double_divide(inverse(B),double_divide(b,
% double_divide(
% inverse(b),b))))),
% inverse(A)) <-> double_divide(b,inverse(double_divide(inverse(A),B)))
% Current number of equations to process: 917
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [302]
% double_divide(b,inverse(double_divide(inverse(A),B))) <->
% double_divide(inverse(inverse(double_divide(inverse(double_divide(inverse(B),C)),
% double_divide(b,C)))),inverse(A))
% Rule
% [298]
% double_divide(b,inverse(double_divide(inverse(A),B))) <->
% double_divide(inverse(inverse(double_divide(inverse(double_divide(inverse(B),b)),
% double_divide(b,b)))),inverse(A)) collapsed.
% Current number of equations to process: 916
% Current number of ordered equations: 1
% Current number of rules: 163
% New rule produced :
% [303]
% double_divide(inverse(inverse(double_divide(inverse(double_divide(inverse(B),C)),
% double_divide(b,C)))),inverse(A)) <->
% double_divide(b,inverse(double_divide(inverse(A),B)))
% Rule
% [299]
% double_divide(inverse(inverse(double_divide(inverse(double_divide(inverse(B),b)),
% double_divide(b,b)))),inverse(A)) <->
% double_divide(b,inverse(double_divide(inverse(A),B))) collapsed.
% Current number of equations to process: 916
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [304]
% double_divide(A,inverse(double_divide(inverse(b),double_divide(A,inverse(A)))))
% -> double_divide(inverse(b),A)
% Current number of equations to process: 936
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [305]
% double_divide(A,inverse(double_divide(inverse(b),double_divide(A,inverse(
% double_divide(
% inverse(A),A))))))
% -> b
% Current number of equations to process: 955
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [306]
% double_divide(A,inverse(double_divide(inverse(double_divide(inverse(B),B)),
% double_divide(A,double_divide(C,inverse(b)))))) ->
% double_divide(C,inverse(b))
% Rule
% [31]
% double_divide(b,inverse(double_divide(inverse(double_divide(inverse(A),A)),
% double_divide(b,double_divide(B,inverse(b)))))) ->
% double_divide(B,inverse(b)) collapsed.
% Current number of equations to process: 955
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [307]
% double_divide(inverse(b),inverse(double_divide(A,inverse(double_divide(
% inverse(B),B))))) ->
% double_divide(A,inverse(b))
% Current number of equations to process: 955
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [308]
% double_divide(b,double_divide(inverse(b),b)) <->
% double_divide(b,inverse(double_divide(inverse(A),A)))
% Current number of equations to process: 961
% Current number of ordered equations: 1
% Current number of rules: 167
% New rule produced :
% [309]
% double_divide(b,inverse(double_divide(inverse(A),A))) <->
% double_divide(b,double_divide(inverse(b),b))
% Current number of equations to process: 961
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [310]
% double_divide(inverse(b),inverse(inverse(double_divide(inverse(A),double_divide(
% inverse(B),B)))))
% -> double_divide(inverse(b),inverse(inverse(A)))
% Current number of equations to process: 962
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [311]
% double_divide(A,inverse(double_divide(inverse(b),double_divide(A,double_divide(b,b)))))
% -> double_divide(b,double_divide(inverse(b),b))
% Current number of equations to process: 969
% Current number of ordered equations: 0
% Current number of rules: 170
% Rule [129]
% double_divide(b,inverse(double_divide(inverse(A),b))) <->
% double_divide(inverse(inverse(double_divide(inverse(b),double_divide(b,
% double_divide(
% inverse(B),B))))),
% inverse(A)) is composed into [129]
% double_divide(b,inverse(double_divide(
% inverse(A),b))) <->
% double_divide(inverse(double_divide(b,b)),
% inverse(A))
% New rule produced :
% [312]
% inverse(double_divide(inverse(b),double_divide(b,double_divide(inverse(A),A))))
% -> double_divide(b,b)
% Rule
% [130]
% double_divide(inverse(inverse(double_divide(inverse(b),double_divide(b,
% double_divide(
% inverse(B),B))))),
% inverse(A)) <-> double_divide(b,inverse(double_divide(inverse(A),b)))
% collapsed.
% Rule
% [265]
% double_divide(A,inverse(double_divide(inverse(b),double_divide(b,double_divide(
% inverse(B),B)))))
% -> double_divide(A,double_divide(b,b)) collapsed.
% Current number of equations to process: 974
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [313] inverse(double_divide(inverse(double_divide(inverse(b),A)),b)) -> A
% Rule
% [131]
% double_divide(inverse(A),inverse(double_divide(inverse(double_divide(
% inverse(b),A)),b))) ->
% double_divide(inverse(b),b) collapsed.
% Current number of equations to process: 982
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [314]
% double_divide(inverse(b),inverse(double_divide(inverse(double_divide(
% inverse(A),b)),A))) ->
% double_divide(inverse(b),b)
% Current number of equations to process: 989
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [315]
% double_divide(A,inverse(double_divide(inverse(b),inverse(double_divide(
% inverse(B),double_divide(A,
% inverse(B)))))))
% -> b
% Current number of equations to process: 991
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [316]
% double_divide(inverse(b),inverse(inverse(double_divide(inverse(A),double_divide(b,
% inverse(A))))))
% -> double_divide(b,inverse(b))
% Current number of equations to process: 995
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [317]
% inverse(double_divide(inverse(A),double_divide(B,inverse(A)))) <->
% double_divide(B,double_divide(inverse(b),b))
% Rule
% [277]
% double_divide(A,inverse(double_divide(inverse(b),double_divide(B,inverse(b)))))
% <-> double_divide(A,double_divide(B,double_divide(inverse(b),b))) collapsed.
% Current number of equations to process: 1001
% Current number of ordered equations: 1
% Current number of rules: 172
% New rule produced :
% [318]
% double_divide(B,double_divide(inverse(b),b)) <->
% inverse(double_divide(inverse(A),double_divide(B,inverse(A))))
% Rule
% [278]
% double_divide(A,double_divide(B,double_divide(inverse(b),b))) <->
% double_divide(A,inverse(double_divide(inverse(b),double_divide(B,inverse(b)))))
% collapsed.
% Current number of equations to process: 1001
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [319]
% double_divide(inverse(A),inverse(double_divide(inverse(double_divide(
% inverse(B),A)),B))) ->
% double_divide(inverse(b),b)
% Rule
% [314]
% double_divide(inverse(b),inverse(double_divide(inverse(double_divide(
% inverse(A),b)),A))) ->
% double_divide(inverse(b),b) collapsed.
% Current number of equations to process: 1000
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [320]
% double_divide(B,inverse(b)) <->
% double_divide(inverse(b),double_divide(inverse(A),double_divide(B,inverse(A))))
% Current number of equations to process: 1004
% Current number of ordered equations: 1
% Current number of rules: 173
% New rule produced :
% [321]
% double_divide(inverse(b),double_divide(inverse(A),double_divide(B,inverse(A))))
% <-> double_divide(B,inverse(b))
% Current number of equations to process: 1004
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [322]
% double_divide(inverse(inverse(A)),inverse(double_divide(inverse(A),double_divide(
% inverse(B),B))))
% -> double_divide(inverse(b),b)
% Current number of equations to process: 1004
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [323]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,inverse(B)))))
% <->
% double_divide(C,inverse(double_divide(inverse(V_3),double_divide(C,inverse(V_3)))))
% Current number of equations to process: 1011
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [324]
% double_divide(inverse(double_divide(A,double_divide(B,inverse(double_divide(
% inverse(C),
% double_divide(B,
% inverse(C))))))),
% double_divide(A,b)) -> b
% Current number of equations to process: 1011
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [325]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(b,inverse(
% double_divide(
% inverse(
% inverse(b)),
% double_divide(b,A)))))))
% -> double_divide(b,inverse(b))
% Current number of equations to process: 1010
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [326]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,double_divide(C,
% inverse(V_3))))))
% <->
% double_divide(V_4,inverse(double_divide(inverse(V_3),double_divide(V_4,
% double_divide(C,
% inverse(B))))))
% Rule
% [70]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,double_divide(C,
% inverse(b))))))
% <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(C,
% inverse(B))))))
% collapsed.
% Rule
% [71]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(C,
% inverse(B))))))
% <->
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,double_divide(C,
% inverse(b))))))
% collapsed.
% Current number of equations to process: 1009
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [327]
% inverse(double_divide(inverse(A),inverse(double_divide(inverse(B),double_divide(C,
% double_divide(
% inverse(
% inverse(B)),A))))))
% -> double_divide(C,double_divide(inverse(b),b))
% Current number of equations to process: 1008
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [328]
% double_divide(b,inverse(double_divide(inverse(double_divide(inverse(A),
% double_divide(b,B))),double_divide(
% inverse(B),
% inverse(A)))))
% -> double_divide(inverse(b),b)
% Current number of equations to process: 1007
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [329]
% double_divide(inverse(b),inverse(double_divide(inverse(double_divide(b,
% double_divide(
% inverse(A),inverse(b)))),
% double_divide(b,A)))) ->
% double_divide(inverse(b),b)
% Current number of equations to process: 1006
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [330]
% double_divide(A,inverse(B)) <->
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,inverse(
% double_divide(
% inverse(C),
% double_divide(A,
% inverse(C))))))))
% Current number of equations to process: 1005
% Current number of ordered equations: 1
% Current number of rules: 181
% New rule produced :
% [331]
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,inverse(
% double_divide(
% inverse(C),
% double_divide(A,
% inverse(C))))))))
% <-> double_divide(A,inverse(B))
% Current number of equations to process: 1005
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [332]
% double_divide(b,inverse(double_divide(inverse(double_divide(inverse(b),
% double_divide(b,A))),double_divide(
% inverse(b),
% inverse(A)))))
% -> double_divide(inverse(b),b)
% Current number of equations to process: 1004
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [333]
% double_divide(b,inverse(double_divide(inverse(double_divide(inverse(A),b)),
% double_divide(inverse(double_divide(b,b)),inverse(A)))))
% -> double_divide(inverse(b),b)
% Current number of equations to process: 1003
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [334]
% double_divide(inverse(double_divide(A,double_divide(b,b))),double_divide(
% inverse(b),
% inverse(double_divide(A,
% double_divide(b,
% inverse(b))))))
% -> b
% Current number of equations to process: 1006
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [335]
% double_divide(inverse(b),inverse(double_divide(inverse(double_divide(b,
% double_divide(
% inverse(A),A))),
% double_divide(b,inverse(b))))) ->
% double_divide(inverse(b),b)
% Current number of equations to process: 1005
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [336]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(inverse(b),
% inverse(double_divide(A,
% double_divide(b,
% inverse(b)))))))) ->
% double_divide(b,inverse(B))
% Current number of equations to process: 1004
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [337]
% double_divide(inverse(b),inverse(double_divide(inverse(b),inverse(double_divide(A,
% double_divide(b,
% inverse(b)))))))
% -> double_divide(A,double_divide(b,b))
% Current number of equations to process: 1005
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [338]
% double_divide(A,double_divide(inverse(B),inverse(double_divide(b,B)))) <->
% double_divide(inverse(b),inverse(double_divide(A,double_divide(b,inverse(b)))))
% Current number of equations to process: 1009
% Current number of ordered equations: 1
% Current number of rules: 189
% New rule produced :
% [339]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(b,inverse(b)))))
% <-> double_divide(A,double_divide(inverse(B),inverse(double_divide(b,B))))
% Current number of equations to process: 1009
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [340]
% double_divide(A,inverse(double_divide(inverse(b),inverse(double_divide(
% inverse(B),double_divide(A,
% inverse(b)))))))
% -> B
% Rule
% [195]
% double_divide(b,inverse(double_divide(inverse(b),inverse(double_divide(
% inverse(A),double_divide(b,
% inverse(b)))))))
% -> A collapsed.
% Current number of equations to process: 1018
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [341]
% double_divide(inverse(b),inverse(double_divide(inverse(double_divide(A,
% double_divide(
% inverse(b),b))),
% double_divide(A,inverse(b))))) ->
% double_divide(inverse(b),b)
% Current number of equations to process: 1017
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [342]
% double_divide(A,double_divide(inverse(b),inverse(double_divide(B,b)))) <->
% double_divide(inverse(b),inverse(double_divide(A,double_divide(B,inverse(b)))))
% Current number of equations to process: 1023
% Current number of ordered equations: 1
% Current number of rules: 192
% New rule produced :
% [343]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(B,inverse(b)))))
% <-> double_divide(A,double_divide(inverse(b),inverse(double_divide(B,b))))
% Current number of equations to process: 1023
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [344]
% double_divide(A,double_divide(inverse(B),inverse(double_divide(C,B)))) <->
% double_divide(inverse(b),inverse(double_divide(A,double_divide(C,inverse(b)))))
% Rule
% [338]
% double_divide(A,double_divide(inverse(B),inverse(double_divide(b,B)))) <->
% double_divide(inverse(b),inverse(double_divide(A,double_divide(b,inverse(b)))))
% collapsed.
% Rule
% [342]
% double_divide(A,double_divide(inverse(b),inverse(double_divide(B,b)))) <->
% double_divide(inverse(b),inverse(double_divide(A,double_divide(B,inverse(b)))))
% collapsed.
% Current number of equations to process: 1025
% Current number of ordered equations: 1
% Current number of rules: 192
% New rule produced :
% [345]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(C,inverse(b)))))
% <-> double_divide(A,double_divide(inverse(B),inverse(double_divide(C,B))))
% Rule
% [339]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(b,inverse(b)))))
% <-> double_divide(A,double_divide(inverse(B),inverse(double_divide(b,B))))
% collapsed.
% Rule
% [343]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(B,inverse(b)))))
% <-> double_divide(A,double_divide(inverse(b),inverse(double_divide(B,b))))
% collapsed.
% Current number of equations to process: 1025
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [346]
% double_divide(B,double_divide(inverse(b),b)) <->
% double_divide(A,inverse(double_divide(inverse(b),inverse(double_divide(B,
% double_divide(A,
% inverse(b)))))))
% Current number of equations to process: 1024
% Current number of ordered equations: 1
% Current number of rules: 192
% New rule produced :
% [347]
% double_divide(A,inverse(double_divide(inverse(b),inverse(double_divide(B,
% double_divide(A,
% inverse(b))))))) <->
% double_divide(B,double_divide(inverse(b),b))
% Current number of equations to process: 1024
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [348]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(inverse(b),
% inverse(double_divide(A,
% double_divide(C,
% inverse(b))))))))
% <-> double_divide(C,inverse(B))
% Rule
% [336]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(inverse(b),
% inverse(double_divide(A,
% double_divide(b,
% inverse(b)))))))) ->
% double_divide(b,inverse(B)) collapsed.
% Current number of equations to process: 1025
% Current number of ordered equations: 1
% Current number of rules: 193
% New rule produced :
% [349]
% double_divide(C,inverse(B)) <->
% double_divide(A,inverse(double_divide(inverse(B),double_divide(inverse(b),
% inverse(double_divide(A,
% double_divide(C,
% inverse(b))))))))
% Current number of equations to process: 1025
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [350]
% double_divide(inverse(b),inverse(double_divide(inverse(inverse(b)),double_divide(
% inverse(A),
% double_divide(
% inverse(b),
% inverse(A))))))
% -> b
% Current number of equations to process: 1029
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [351]
% double_divide(inverse(double_divide(inverse(A),A)),double_divide(inverse(B),
% double_divide(inverse(b),
% inverse(B)))) -> b
% Current number of equations to process: 1030
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [352]
% inverse(double_divide(inverse(double_divide(A,b)),inverse(double_divide(
% inverse(B),
% double_divide(A,
% inverse(B)))))) ->
% b
% Current number of equations to process: 1047
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [353]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(b,double_divide(
% inverse(B),B)))))
% -> double_divide(A,double_divide(b,b))
% Rule
% [220]
% double_divide(b,inverse(double_divide(inverse(b),inverse(double_divide(A,
% double_divide(b,
% double_divide(
% inverse(B),B)))))))
% -> double_divide(A,inverse(b)) collapsed.
% Current number of equations to process: 1049
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [354]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(b,inverse(
% double_divide(
% inverse(b),
% inverse(A)))))))
% -> inverse(b)
% Current number of equations to process: 1057
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [355]
% double_divide(A,double_divide(inverse(B),B)) <->
% double_divide(A,double_divide(inverse(C),C))
% Rule
% [275]
% double_divide(A,double_divide(b,double_divide(inverse(B),B))) <->
% double_divide(A,double_divide(b,double_divide(inverse(b),b))) collapsed.
% Current number of equations to process: 1059
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [356] double_divide(A,inverse(inverse(b))) -> double_divide(A,b)
% Rule
% [230]
% double_divide(inverse(b),inverse(inverse(b))) -> double_divide(inverse(b),b)
% collapsed.
% Current number of equations to process: 1059
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [357]
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,double_divide(
% inverse(A),b)))))
% <-> double_divide(inverse(A),inverse(double_divide(inverse(B),b)))
% Current number of equations to process: 1064
% Current number of ordered equations: 1
% Current number of rules: 199
% New rule produced :
% [358]
% double_divide(inverse(A),inverse(double_divide(inverse(B),b))) <->
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,double_divide(
% inverse(A),b)))))
% Current number of equations to process: 1064
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [359]
% double_divide(A,inverse(double_divide(inverse(B),b))) <->
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,double_divide(A,b)))))
% Rule
% [358]
% double_divide(inverse(A),inverse(double_divide(inverse(B),b))) <->
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,double_divide(
% inverse(A),b)))))
% collapsed.
% Current number of equations to process: 1065
% Current number of ordered equations: 1
% Current number of rules: 200
% New rule produced :
% [360]
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,double_divide(A,b)))))
% <-> double_divide(A,inverse(double_divide(inverse(B),b)))
% Rule
% [357]
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,double_divide(
% inverse(A),b)))))
% <-> double_divide(inverse(A),inverse(double_divide(inverse(B),b))) collapsed.
% Current number of equations to process: 1065
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [361]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(b,double_divide(
% inverse(
% double_divide(
% inverse(B),B)),b)))))
% -> double_divide(inverse(A),b)
% Rule
% [154]
% double_divide(inverse(b),double_divide(b,inverse(double_divide(inverse(b),
% double_divide(b,double_divide(
% inverse(
% double_divide(
% inverse(A),A)),b))))))
% -> b collapsed.
% Current number of equations to process: 1064
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [362]
% double_divide(inverse(double_divide(A,double_divide(inverse(B),B))),b) ->
% double_divide(A,b)
% Current number of equations to process: 1073
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [363]
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,double_divide(A,b)))))
% <->
% double_divide(b,inverse(double_divide(inverse(double_divide(A,b)),double_divide(b,B))))
% Current number of equations to process: 1072
% Current number of ordered equations: 1
% Current number of rules: 202
% New rule produced :
% [364]
% double_divide(b,inverse(double_divide(inverse(double_divide(A,b)),double_divide(b,B))))
% <->
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,double_divide(A,b)))))
% Current number of equations to process: 1072
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [365]
% double_divide(A,inverse(double_divide(inverse(double_divide(inverse(A),b)),
% double_divide(A,double_divide(inverse(inverse(A)),B)))))
% -> double_divide(inverse(inverse(b)),B)
% Current number of equations to process: 1080
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [366]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(b,inverse(
% double_divide(
% inverse(b),
% inverse(B)))))))
% -> double_divide(A,double_divide(b,inverse(B)))
% Current number of equations to process: 1090
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [367]
% double_divide(inverse(B),inverse(double_divide(inverse(b),inverse(A)))) <->
% double_divide(b,inverse(double_divide(inverse(b),inverse(double_divide(
% inverse(A),double_divide(b,B))))))
% Current number of equations to process: 1104
% Current number of ordered equations: 1
% Current number of rules: 206
% New rule produced :
% [368]
% double_divide(b,inverse(double_divide(inverse(b),inverse(double_divide(
% inverse(A),double_divide(b,B))))))
% <-> double_divide(inverse(B),inverse(double_divide(inverse(b),inverse(A))))
% Current number of equations to process: 1104
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [369]
% double_divide(b,inverse(double_divide(inverse(double_divide(inverse(b),
% double_divide(b,A))),A))) -> b
% Current number of equations to process: 1114
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [370]
% double_divide(inverse(A),inverse(double_divide(inverse(b),inverse(b)))) <->
% double_divide(inverse(b),inverse(double_divide(inverse(b),inverse(A))))
% Current number of equations to process: 1120
% Current number of ordered equations: 1
% Current number of rules: 209
% New rule produced :
% [371]
% double_divide(inverse(b),inverse(double_divide(inverse(b),inverse(A)))) <->
% double_divide(inverse(A),inverse(double_divide(inverse(b),inverse(b))))
% Current number of equations to process: 1120
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [372]
% double_divide(A,inverse(double_divide(inverse(b),double_divide(b,C)))) <->
% double_divide(A,double_divide(b,double_divide(B,inverse(double_divide(
% inverse(b),double_divide(B,C))))))
% Current number of equations to process: 1127
% Current number of ordered equations: 1
% Current number of rules: 211
% New rule produced :
% [373]
% double_divide(A,double_divide(b,double_divide(B,inverse(double_divide(
% inverse(b),double_divide(B,C))))))
% <-> double_divide(A,inverse(double_divide(inverse(b),double_divide(b,C))))
% Current number of equations to process: 1127
% Current number of ordered equations: 0
% Current number of rules: 212
% Rule [308]
% double_divide(b,double_divide(inverse(b),b)) <->
% double_divide(b,inverse(double_divide(inverse(A),A))) is composed into 
% [308]
% double_divide(b,double_divide(inverse(b),b)) <->
% double_divide(b,double_divide(inverse(A),A))
% Rule [302]
% double_divide(b,inverse(double_divide(inverse(A),B))) <->
% double_divide(inverse(inverse(double_divide(inverse(double_divide(
% inverse(B),C)),
% double_divide(b,C)))),inverse(A)) is composed into 
% [302]
% double_divide(b,inverse(double_divide(inverse(A),B))) <->
% double_divide(inverse(double_divide(inverse(double_divide(b,C)),double_divide(
% inverse(B),C))),
% inverse(A))
% New rule produced :
% [374] inverse(double_divide(inverse(B),A)) <-> double_divide(inverse(A),B)
% Rule [94] inverse(double_divide(inverse(b),b)) -> double_divide(inverse(b),b)
% collapsed.
% Rule
% [125]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,
% inverse(
% double_divide(
% inverse(B),B)))))))
% -> double_divide(A,inverse(b)) collapsed.
% Rule
% [147]
% double_divide(inverse(double_divide(inverse(A),A)),double_divide(inverse(B),
% double_divide(b,inverse(
% double_divide(
% inverse(b),
% double_divide(b,B))))))
% -> b collapsed.
% Rule
% [202] double_divide(inverse(b),inverse(double_divide(inverse(A),A))) -> b
% collapsed.
% Rule
% [223] double_divide(inverse(double_divide(inverse(B),B)),inverse(A)) -> A
% collapsed.
% Rule
% [303]
% double_divide(inverse(inverse(double_divide(inverse(double_divide(inverse(B),C)),
% double_divide(b,C)))),inverse(A)) <->
% double_divide(b,inverse(double_divide(inverse(A),B))) collapsed.
% Rule
% [305]
% double_divide(A,inverse(double_divide(inverse(b),double_divide(A,inverse(
% double_divide(
% inverse(A),A))))))
% -> b collapsed.
% Rule
% [306]
% double_divide(A,inverse(double_divide(inverse(double_divide(inverse(B),B)),
% double_divide(A,double_divide(C,inverse(b)))))) ->
% double_divide(C,inverse(b)) collapsed.
% Rule
% [307]
% double_divide(inverse(b),inverse(double_divide(A,inverse(double_divide(
% inverse(B),B))))) ->
% double_divide(A,inverse(b)) collapsed.
% Rule
% [309]
% double_divide(b,inverse(double_divide(inverse(A),A))) <->
% double_divide(b,double_divide(inverse(b),b)) collapsed.
% Rule
% [313] inverse(double_divide(inverse(double_divide(inverse(b),A)),b)) -> A
% collapsed.
% Rule
% [319]
% double_divide(inverse(A),inverse(double_divide(inverse(double_divide(
% inverse(B),A)),B))) ->
% double_divide(inverse(b),b) collapsed.
% Rule
% [329]
% double_divide(inverse(b),inverse(double_divide(inverse(double_divide(b,
% double_divide(
% inverse(A),inverse(b)))),
% double_divide(b,A)))) ->
% double_divide(inverse(b),b) collapsed.
% Rule
% [332]
% double_divide(b,inverse(double_divide(inverse(double_divide(inverse(b),
% double_divide(b,A))),double_divide(
% inverse(b),
% inverse(A)))))
% -> double_divide(inverse(b),b) collapsed.
% Rule
% [335]
% double_divide(inverse(b),inverse(double_divide(inverse(double_divide(b,
% double_divide(
% inverse(A),A))),
% double_divide(b,inverse(b))))) ->
% double_divide(inverse(b),b) collapsed.
% Rule
% [341]
% double_divide(inverse(b),inverse(double_divide(inverse(double_divide(A,
% double_divide(
% inverse(b),b))),
% double_divide(A,inverse(b))))) ->
% double_divide(inverse(b),b) collapsed.
% Rule
% [351]
% double_divide(inverse(double_divide(inverse(A),A)),double_divide(inverse(B),
% double_divide(inverse(b),
% inverse(B)))) -> b
% collapsed.
% Rule
% [361]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(b,double_divide(
% inverse(
% double_divide(
% inverse(B),B)),b)))))
% -> double_divide(inverse(A),b) collapsed.
% Rule
% [369]
% double_divide(b,inverse(double_divide(inverse(double_divide(inverse(b),
% double_divide(b,A))),A))) -> b
% collapsed.
% Current number of equations to process: 1142
% Current number of ordered equations: 1
% Current number of rules: 194
% New rule produced :
% [375] double_divide(inverse(A),B) <-> inverse(double_divide(inverse(B),A))
% Rule
% [45]
% double_divide(inverse(double_divide(A,double_divide(inverse(B),B))),double_divide(A,b))
% -> b collapsed.
% Rule
% [51]
% double_divide(inverse(double_divide(A,double_divide(b,double_divide(inverse(B),
% inverse(b))))),
% double_divide(A,double_divide(b,B))) -> b collapsed.
% Rule
% [90]
% double_divide(inverse(double_divide(A,double_divide(b,double_divide(inverse(B),B)))),
% double_divide(A,double_divide(b,inverse(b)))) -> b collapsed.
% Rule
% [99]
% double_divide(inverse(double_divide(A,double_divide(B,double_divide(inverse(b),b)))),
% double_divide(A,double_divide(B,inverse(b)))) -> b collapsed.
% Rule
% [152]
% double_divide(inverse(double_divide(inverse(b),double_divide(inverse(A),
% double_divide(b,inverse(
% double_divide(
% inverse(b),
% double_divide(b,A))))))),b)
% -> b collapsed.
% Rule
% [153]
% double_divide(inverse(b),double_divide(b,inverse(double_divide(b,inverse(
% double_divide(
% inverse(b),
% double_divide(b,
% double_divide(
% inverse(b),
% double_divide(b,
% double_divide(
% inverse(
% inverse(b)),b))))))))))
% -> b collapsed.
% Rule
% [324]
% double_divide(inverse(double_divide(A,double_divide(B,inverse(double_divide(
% inverse(C),
% double_divide(B,
% inverse(C))))))),
% double_divide(A,b)) -> b collapsed.
% Rule
% [362]
% double_divide(inverse(double_divide(A,double_divide(inverse(B),B))),b) ->
% double_divide(A,b) collapsed.
% Current number of equations to process: 1149
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [376] double_divide(double_divide(inverse(B),B),inverse(A)) -> A
% Current number of equations to process: 1148
% Current number of ordered equations: 0
% Current number of rules: 188
% Rule [373]
% double_divide(A,double_divide(b,double_divide(B,inverse(double_divide(
% inverse(b),
% double_divide(B,C))))))
% <->
% double_divide(A,inverse(double_divide(inverse(b),double_divide(b,C)))) is composed into 
% [373]
% double_divide(A,double_divide(b,double_divide(B,inverse(double_divide(
% inverse(b),double_divide(B,C))))))
% -> double_divide(A,double_divide(b,double_divide(inverse(b),inverse(C))))
% Rule [213]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(inverse(b),
% inverse(B))))) <->
% double_divide(inverse(inverse(double_divide(inverse(b),double_divide(b,B)))),
% inverse(A)) is composed into [213]
% double_divide(b,inverse(double_divide(
% inverse(A),
% double_divide(
% inverse(b),
% inverse(B))))) <->
% double_divide(inverse(double_divide(b,
% double_divide(
% inverse(b),inverse(B)))),
% inverse(A))
% Rule [177]
% double_divide(A,double_divide(b,double_divide(inverse(C),inverse(b))))
% <->
% double_divide(A,inverse(double_divide(inverse(b),double_divide(b,C)))) is composed into 
% [177]
% double_divide(A,double_divide(b,double_divide(inverse(C),inverse(b)))) <->
% double_divide(A,double_divide(b,double_divide(inverse(b),inverse(C))))
% Rule [165]
% double_divide(b,inverse(double_divide(B,inverse(double_divide(inverse(A),
% double_divide(B,b))))))
% <->
% double_divide(b,inverse(double_divide(b,inverse(double_divide(inverse(b),
% double_divide(b,A)))))) is composed into 
% [165]
% double_divide(b,inverse(double_divide(B,inverse(double_divide(inverse(A),
% double_divide(B,b)))))) <->
% double_divide(b,inverse(double_divide(b,double_divide(b,double_divide(
% inverse(b),inverse(A))))))
% Rule [145]
% double_divide(A,double_divide(B,double_divide(inverse(b),b))) <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,
% double_divide(A,
% double_divide(B,
% inverse(b))))))) is composed into 
% [145]
% double_divide(A,double_divide(B,double_divide(inverse(b),b))) <->
% double_divide(b,double_divide(b,double_divide(inverse(b),inverse(double_divide(A,
% double_divide(B,
% inverse(b)))))))
% Rule [138]
% double_divide(A,double_divide(b,double_divide(inverse(B),B))) <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,
% double_divide(A,
% double_divide(b,
% inverse(b))))))) is composed into 
% [138]
% double_divide(A,double_divide(b,double_divide(inverse(B),B))) <->
% double_divide(b,double_divide(b,double_divide(inverse(b),inverse(double_divide(A,
% double_divide(b,
% inverse(b)))))))
% Rule [92]
% double_divide(A,double_divide(inverse(B),B)) <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,
% double_divide(A,b))))) is composed into 
% [92]
% double_divide(A,double_divide(inverse(B),B)) <->
% double_divide(b,double_divide(b,double_divide(inverse(b),inverse(double_divide(A,b)))))
% Rule [76]
% double_divide(A,double_divide(b,double_divide(inverse(B),inverse(b))))
% <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,
% double_divide(A,
% double_divide(b,B)))))) is composed into 
% [76]
% double_divide(A,double_divide(b,double_divide(inverse(B),inverse(b)))) <->
% double_divide(b,double_divide(b,double_divide(inverse(b),inverse(double_divide(A,
% double_divide(b,B))))))
% New rule produced :
% [377]
% inverse(double_divide(inverse(b),double_divide(b,A))) ->
% double_divide(b,double_divide(inverse(b),inverse(A)))
% Rule
% [38]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,B)))))
% <-> double_divide(A,inverse(double_divide(inverse(b),B))) collapsed.
% Rule
% [77]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,
% double_divide(b,B))))))
% <-> double_divide(A,double_divide(b,double_divide(inverse(B),inverse(b))))
% collapsed.
% Rule
% [87]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,A)))) ->
% double_divide(inverse(b),inverse(A)) collapsed.
% Rule
% [91]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,
% double_divide(
% inverse(B),
% inverse(b)))))))
% -> double_divide(A,B) collapsed.
% Rule
% [93]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,b)))))
% <-> double_divide(A,double_divide(inverse(B),B)) collapsed.
% Rule
% [137]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,
% double_divide(
% inverse(C),C))))))
% -> double_divide(A,inverse(b)) collapsed.
% Rule
% [139]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,
% double_divide(b,
% inverse(b)))))))
% <-> double_divide(A,double_divide(b,double_divide(inverse(B),B))) collapsed.
% Rule
% [146]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,
% double_divide(B,
% inverse(b)))))))
% <-> double_divide(A,double_divide(B,double_divide(inverse(b),b))) collapsed.
% Rule
% [155]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(b,double_divide(A,
% double_divide(b,
% double_divide(
% inverse(B),B)))))))
% -> double_divide(A,double_divide(b,b)) collapsed.
% Rule
% [160]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,double_divide(b,
% inverse(
% double_divide(
% inverse(b),
% double_divide(b,
% inverse(B)))))))))
% -> b collapsed.
% Rule
% [164]
% double_divide(b,inverse(double_divide(b,inverse(double_divide(inverse(b),
% double_divide(b,A)))))) <->
% double_divide(b,inverse(double_divide(B,inverse(double_divide(inverse(A),
% double_divide(B,b))))))
% collapsed.
% Rule
% [201]
% double_divide(inverse(b),inverse(inverse(double_divide(inverse(b),double_divide(b,A)))))
% -> double_divide(b,A) collapsed.
% Rule
% [215]
% double_divide(inverse(inverse(double_divide(inverse(b),double_divide(b,B)))),
% inverse(A)) <->
% double_divide(b,inverse(double_divide(inverse(A),double_divide(inverse(b),
% inverse(B))))) collapsed.
% Rule
% [217]
% double_divide(b,inverse(double_divide(inverse(b),inverse(double_divide(
% inverse(b),double_divide(b,A))))))
% -> double_divide(inverse(b),inverse(double_divide(inverse(b),inverse(A))))
% collapsed.
% Rule
% [312]
% inverse(double_divide(inverse(b),double_divide(b,double_divide(inverse(A),A))))
% -> double_divide(b,b) collapsed.
% Rule
% [372]
% double_divide(A,inverse(double_divide(inverse(b),double_divide(b,C)))) <->
% double_divide(A,double_divide(b,double_divide(B,inverse(double_divide(
% inverse(b),double_divide(B,C))))))
% collapsed.
% Current number of equations to process: 1149
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [378]
% inverse(double_divide(inverse(b),double_divide(A,B))) <->
% double_divide(A,double_divide(inverse(B),inverse(b)))
% Current number of equations to process: 1159
% Current number of ordered equations: 1
% Current number of rules: 174
% New rule produced :
% [379]
% double_divide(A,double_divide(inverse(B),inverse(b))) <->
% inverse(double_divide(inverse(b),double_divide(A,B)))
% Current number of equations to process: 1159
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [380]
% inverse(double_divide(inverse(b),double_divide(A,double_divide(inverse(B),B))))
% -> double_divide(A,b)
% Current number of equations to process: 1158
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [381]
% double_divide(b,double_divide(inverse(A),double_divide(inverse(b),double_divide(b,A))))
% -> b
% Current number of equations to process: 1157
% Current number of ordered equations: 0
% Current number of rules: 177
% Rule [359]
% double_divide(A,inverse(double_divide(inverse(B),b))) <->
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,
% double_divide(A,b))))) is composed into 
% [359]
% double_divide(A,inverse(double_divide(inverse(B),b))) <->
% double_divide(inverse(B),inverse(double_divide(A,b)))
% Rule [330]
% double_divide(A,inverse(B)) <->
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,
% inverse(double_divide(
% inverse(C),
% double_divide(A,
% inverse(C)))))))) is composed into 
% [330]
% double_divide(A,inverse(B)) <->
% double_divide(inverse(B),inverse(inverse(double_divide(inverse(C),double_divide(A,
% inverse(C))))))
% Rule [270]
% double_divide(inverse(A),inverse(double_divide(inverse(B),C))) <->
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,
% inverse(double_divide(
% inverse(C),A)))))) is composed into 
% [270]
% double_divide(inverse(A),inverse(double_divide(inverse(B),C))) <->
% double_divide(inverse(B),inverse(inverse(double_divide(inverse(C),A))))
% Rule [238]
% double_divide(inverse(b),inverse(double_divide(inverse(inverse(b)),B)))
% <->
% double_divide(b,inverse(double_divide(inverse(A),double_divide(b,
% double_divide(inverse(
% inverse(A)),B))))) is composed into 
% [238]
% double_divide(inverse(b),inverse(double_divide(inverse(inverse(b)),B))) <->
% double_divide(inverse(A),inverse(double_divide(inverse(inverse(A)),B)))
% Rule [158]
% double_divide(inverse(double_divide(A,double_divide(inverse(B),B))),
% inverse(double_divide(inverse(C),b))) <->
% double_divide(b,inverse(double_divide(inverse(C),double_divide(b,
% double_divide(A,b))))) is composed into 
% [158]
% double_divide(inverse(double_divide(A,double_divide(inverse(B),B))),inverse(
% double_divide(
% inverse(C),b)))
% <-> double_divide(inverse(C),inverse(double_divide(A,b)))
% Rule [122]
% double_divide(A,inverse(b)) <->
% double_divide(b,inverse(double_divide(inverse(double_divide(inverse(b),B)),
% double_divide(b,double_divide(A,inverse(B)))))) is composed into 
% [122]
% double_divide(A,inverse(b)) <->
% double_divide(inverse(double_divide(inverse(b),B)),inverse(double_divide(A,
% inverse(B))))
% Rule [7]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))
% <->
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,C)))) is composed into 
% [7]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C)))) ->
% double_divide(inverse(B),inverse(C))
% New rule produced :
% [382]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(b,B)))) ->
% double_divide(inverse(A),inverse(B))
% Rule
% [12]
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,double_divide(A,
% inverse(
% double_divide(
% inverse(b),B)))))))
% -> double_divide(A,inverse(b)) collapsed.
% Rule
% [123]
% double_divide(b,inverse(double_divide(inverse(double_divide(inverse(b),B)),
% double_divide(b,double_divide(A,inverse(B)))))) <->
% double_divide(A,inverse(b)) collapsed.
% Rule
% [157]
% double_divide(b,inverse(double_divide(inverse(C),double_divide(b,double_divide(A,b)))))
% <->
% double_divide(inverse(double_divide(A,double_divide(inverse(B),B))),inverse(
% double_divide(
% inverse(C),b)))
% collapsed.
% Rule
% [180]
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,double_divide(
% inverse(b),B)))))
% -> b collapsed.
% Rule
% [237]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(b,double_divide(
% inverse(
% inverse(A)),B)))))
% <-> double_divide(inverse(b),inverse(double_divide(inverse(inverse(b)),B)))
% collapsed.
% Rule
% [260]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(b,double_divide(
% inverse(B),B)))))
% -> A collapsed.
% Rule
% [269]
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,inverse(
% double_divide(
% inverse(C),A))))))
% <-> double_divide(inverse(A),inverse(double_divide(inverse(B),C))) collapsed.
% Rule
% [293]
% double_divide(b,inverse(double_divide(inverse(double_divide(A,B)),double_divide(b,
% double_divide(
% inverse(B),
% double_divide(A,b))))))
% -> b collapsed.
% Rule
% [325]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(b,inverse(
% double_divide(
% inverse(
% inverse(b)),
% double_divide(b,A)))))))
% -> double_divide(b,inverse(b)) collapsed.
% Rule
% [331]
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,inverse(
% double_divide(
% inverse(C),
% double_divide(A,
% inverse(C))))))))
% <-> double_divide(A,inverse(B)) collapsed.
% Rule
% [354]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(b,inverse(
% double_divide(
% inverse(b),
% inverse(A)))))))
% -> inverse(b) collapsed.
% Rule
% [360]
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,double_divide(A,b)))))
% <-> double_divide(A,inverse(double_divide(inverse(B),b))) collapsed.
% Rule
% [363]
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,double_divide(A,b)))))
% <->
% double_divide(b,inverse(double_divide(inverse(double_divide(A,b)),double_divide(b,B))))
% collapsed.
% Rule
% [364]
% double_divide(b,inverse(double_divide(inverse(double_divide(A,b)),double_divide(b,B))))
% <->
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,double_divide(A,b)))))
% collapsed.
% Current number of equations to process: 1167
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [383] double_divide(inverse(A),double_divide(inverse(B),B)) -> A
% Rule [15] double_divide(inverse(b),double_divide(inverse(A),A)) -> b
% collapsed.
% Rule [95] double_divide(inverse(A),double_divide(inverse(b),b)) -> A
% collapsed.
% Rule
% [128]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(inverse(B),B))))
% -> double_divide(b,inverse(A)) collapsed.
% Rule
% [310]
% double_divide(inverse(b),inverse(inverse(double_divide(inverse(A),double_divide(
% inverse(B),B)))))
% -> double_divide(inverse(b),inverse(inverse(A))) collapsed.
% Rule
% [322]
% double_divide(inverse(inverse(A)),inverse(double_divide(inverse(A),double_divide(
% inverse(B),B))))
% -> double_divide(inverse(b),b) collapsed.
% Current number of equations to process: 1167
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [384]
% double_divide(inverse(A),inverse(inverse(A))) <-> double_divide(inverse(b),b)
% Current number of equations to process: 1166
% Current number of ordered equations: 1
% Current number of rules: 161
% New rule produced :
% [385]
% double_divide(inverse(b),b) <-> double_divide(inverse(A),inverse(inverse(A)))
% Current number of equations to process: 1166
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [386]
% double_divide(inverse(B),inverse(double_divide(A,b))) <->
% double_divide(inverse(double_divide(A,b)),inverse(B))
% Current number of equations to process: 1164
% Current number of ordered equations: 1
% Current number of rules: 163
% New rule produced :
% [387]
% double_divide(inverse(double_divide(A,b)),inverse(B)) <->
% double_divide(inverse(B),inverse(double_divide(A,b)))
% Current number of equations to process: 1164
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [388]
% double_divide(inverse(A),inverse(inverse(double_divide(inverse(b),inverse(A)))))
% -> inverse(b)
% Current number of equations to process: 1163
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [389]
% double_divide(inverse(b),double_divide(inverse(A),inverse(inverse(A)))) -> b
% Current number of equations to process: 1163
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [390]
% double_divide(A,double_divide(inverse(b),inverse(double_divide(A,b)))) <->
% double_divide(inverse(B),B)
% Current number of equations to process: 1166
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [391]
% double_divide(A,double_divide(inverse(B),inverse(double_divide(A,B)))) <->
% double_divide(inverse(b),b)
% Rule
% [390]
% double_divide(A,double_divide(inverse(b),inverse(double_divide(A,b)))) <->
% double_divide(inverse(B),B) collapsed.
% Current number of equations to process: 1174
% Current number of ordered equations: 1
% Current number of rules: 167
% New rule produced :
% [392]
% double_divide(inverse(b),b) <->
% double_divide(A,double_divide(inverse(B),inverse(double_divide(A,B))))
% Current number of equations to process: 1173
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [393]
% inverse(double_divide(B,A)) <->
% double_divide(inverse(A),double_divide(B,double_divide(inverse(b),b)))
% Current number of equations to process: 1172
% Current number of ordered equations: 1
% Current number of rules: 169
% Rule [300]
% double_divide(b,inverse(double_divide(inverse(A),B))) <->
% double_divide(inverse(inverse(double_divide(inverse(B),double_divide(b,
% double_divide(
% inverse(b),b))))),
% inverse(A)) is composed into [300]
% double_divide(b,inverse(double_divide(
% inverse(A),B))) <->
% double_divide(inverse(inverse(inverse(
% double_divide(b,B)))),
% inverse(A))
% New rule produced :
% [394]
% double_divide(inverse(A),double_divide(B,double_divide(inverse(b),b))) <->
% inverse(double_divide(B,A))
% Rule
% [301]
% double_divide(inverse(inverse(double_divide(inverse(B),double_divide(b,
% double_divide(
% inverse(b),b))))),
% inverse(A)) <-> double_divide(b,inverse(double_divide(inverse(A),B)))
% collapsed.
% Current number of equations to process: 1173
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [395]
% inverse(double_divide(inverse(A),b)) <->
% double_divide(b,double_divide(inverse(double_divide(b,b)),inverse(A)))
% Current number of equations to process: 1174
% Current number of ordered equations: 1
% Current number of rules: 170
% New rule produced :
% [396]
% double_divide(b,double_divide(inverse(double_divide(b,b)),inverse(A))) <->
% inverse(double_divide(inverse(A),b))
% Current number of equations to process: 1174
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [397]
% double_divide(B,inverse(double_divide(inverse(b),inverse(A)))) <->
% double_divide(inverse(A),inverse(double_divide(B,inverse(b))))
% Rule
% [371]
% double_divide(inverse(b),inverse(double_divide(inverse(b),inverse(A)))) <->
% double_divide(inverse(A),inverse(double_divide(inverse(b),inverse(b))))
% collapsed.
% Current number of equations to process: 1175
% Current number of ordered equations: 1
% Current number of rules: 171
% New rule produced :
% [398]
% double_divide(inverse(A),inverse(double_divide(B,inverse(b)))) <->
% double_divide(B,inverse(double_divide(inverse(b),inverse(A))))
% Rule
% [370]
% double_divide(inverse(A),inverse(double_divide(inverse(b),inverse(b)))) <->
% double_divide(inverse(b),inverse(double_divide(inverse(b),inverse(A))))
% collapsed.
% Current number of equations to process: 1175
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [399]
% double_divide(B,inverse(A)) <->
% double_divide(inverse(A),inverse(double_divide(B,double_divide(inverse(b),b))))
% Current number of equations to process: 1174
% Current number of ordered equations: 1
% Current number of rules: 172
% New rule produced :
% [400]
% double_divide(inverse(A),inverse(double_divide(B,double_divide(inverse(b),b))))
% <-> double_divide(B,inverse(A))
% Rule
% [288]
% double_divide(inverse(inverse(double_divide(A,B))),inverse(double_divide(A,
% double_divide(
% inverse(b),b))))
% -> B collapsed.
% Current number of equations to process: 1175
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [401] double_divide(A,inverse(inverse(double_divide(A,B)))) -> B
% Current number of equations to process: 1174
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [402]
% inverse(double_divide(inverse(double_divide(A,b)),double_divide(A,double_divide(
% inverse(B),B))))
% -> b
% Current number of equations to process: 1173
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [403]
% double_divide(inverse(double_divide(A,B)),inverse(double_divide(inverse(B),
% double_divide(A,b)))) -> b
% Current number of equations to process: 1172
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [404]
% double_divide(inverse(B),inverse(inverse(double_divide(inverse(A),double_divide(b,B)))))
% -> double_divide(b,A)
% Current number of equations to process: 1168
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [405]
% double_divide(inverse(B),inverse(double_divide(A,inverse(double_divide(
% inverse(b),B))))) ->
% double_divide(A,inverse(b))
% Rule
% [181]
% double_divide(inverse(A),inverse(double_divide(b,inverse(double_divide(
% inverse(b),A))))) ->
% double_divide(b,inverse(b)) collapsed.
% Current number of equations to process: 1167
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [406]
% inverse(double_divide(inverse(b),double_divide(A,double_divide(b,b)))) <->
% double_divide(A,double_divide(b,double_divide(inverse(B),B)))
% Current number of equations to process: 1164
% Current number of ordered equations: 1
% Current number of rules: 177
% New rule produced :
% [407]
% double_divide(A,double_divide(b,double_divide(inverse(B),B))) <->
% inverse(double_divide(inverse(b),double_divide(A,double_divide(b,b))))
% Current number of equations to process: 1164
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [408]
% double_divide(A,double_divide(inverse(B),inverse(double_divide(A,double_divide(
% inverse(b),b)))))
% -> inverse(B)
% Current number of equations to process: 1163
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [409]
% double_divide(double_divide(inverse(A),A),double_divide(inverse(B),double_divide(
% inverse(b),
% inverse(B))))
% -> b
% Current number of equations to process: 1162
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [410]
% double_divide(inverse(b),inverse(double_divide(inverse(inverse(b)),B))) <->
% double_divide(inverse(inverse(A)),inverse(double_divide(inverse(A),B)))
% Current number of equations to process: 1160
% Current number of ordered equations: 1
% Current number of rules: 181
% New rule produced :
% [411]
% double_divide(inverse(inverse(A)),inverse(double_divide(inverse(A),B))) <->
% double_divide(inverse(b),inverse(double_divide(inverse(inverse(b)),B)))
% Current number of equations to process: 1160
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [412]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(inverse(
% inverse(b)),
% inverse(A))))) ->
% double_divide(b,inverse(b))
% Current number of equations to process: 1159
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [413]
% double_divide(A,double_divide(inverse(double_divide(inverse(b),B)),inverse(
% double_divide(A,
% inverse(B)))))
% -> inverse(b)
% Current number of equations to process: 1157
% Current number of ordered equations: 0
% Current number of rules: 184
% Rule [367]
% double_divide(inverse(B),inverse(double_divide(inverse(b),inverse(A))))
% <->
% double_divide(b,inverse(double_divide(inverse(b),inverse(double_divide(
% inverse(A),
% double_divide(b,B)))))) is composed into 
% [367]
% double_divide(inverse(B),inverse(double_divide(inverse(b),inverse(A)))) <->
% double_divide(b,double_divide(b,double_divide(inverse(b),inverse(double_divide(
% inverse(A),
% inverse(B))))))
% Rule [251]
% double_divide(b,double_divide(A,inverse(B))) <->
% double_divide(inverse(b),inverse(inverse(double_divide(inverse(B),
% double_divide(b,double_divide(A,
% inverse(b))))))) is composed into 
% [251]
% double_divide(b,double_divide(A,inverse(B))) <->
% double_divide(inverse(b),inverse(double_divide(b,double_divide(inverse(B),
% inverse(double_divide(A,
% inverse(b)))))))
% Rule [212]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(inverse(A),
% inverse(B))))) <->
% double_divide(inverse(b),inverse(inverse(double_divide(inverse(B),
% double_divide(b,A))))) is composed into 
% [212]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(inverse(A),
% inverse(B))))) <->
% double_divide(inverse(b),inverse(double_divide(b,double_divide(inverse(B),
% inverse(A)))))
% Rule [120]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(inverse(B),
% inverse(C))))) <->
% double_divide(inverse(inverse(double_divide(inverse(C),double_divide(b,B)))),
% inverse(A)) is composed into [120]
% double_divide(b,inverse(double_divide(
% inverse(A),
% double_divide(
% inverse(B),
% inverse(C))))) <->
% double_divide(inverse(double_divide(b,
% double_divide(
% inverse(C),inverse(B)))),
% inverse(A))
% New rule produced :
% [414]
% inverse(double_divide(inverse(B),double_divide(A,C))) <->
% double_divide(A,double_divide(inverse(B),inverse(C)))
% Rule
% [121]
% double_divide(inverse(inverse(double_divide(inverse(C),double_divide(b,B)))),
% inverse(A)) <->
% double_divide(b,inverse(double_divide(inverse(A),double_divide(inverse(B),
% inverse(C))))) collapsed.
% Rule
% [185]
% double_divide(inverse(inverse(double_divide(inverse(B),double_divide(b,
% inverse(B))))),
% inverse(A)) -> double_divide(b,inverse(A)) collapsed.
% Rule
% [214]
% double_divide(inverse(b),inverse(inverse(double_divide(inverse(B),double_divide(b,A)))))
% <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(inverse(A),
% inverse(B))))) collapsed.
% Rule
% [216]
% double_divide(inverse(b),inverse(inverse(double_divide(inverse(A),double_divide(b,
% double_divide(
% inverse(B),B))))))
% -> double_divide(b,inverse(double_divide(inverse(b),A))) collapsed.
% Rule
% [234]
% double_divide(b,inverse(double_divide(inverse(b),inverse(double_divide(
% inverse(inverse(b)),
% double_divide(b,A))))))
% -> A collapsed.
% Rule
% [252]
% double_divide(inverse(b),inverse(inverse(double_divide(inverse(B),double_divide(b,
% double_divide(A,
% inverse(b)))))))
% <-> double_divide(b,double_divide(A,inverse(B))) collapsed.
% Rule
% [280]
% double_divide(A,inverse(double_divide(inverse(A),double_divide(A,inverse(
% double_divide(
% inverse(A),B))))))
% -> B collapsed.
% Rule
% [316]
% double_divide(inverse(b),inverse(inverse(double_divide(inverse(A),double_divide(b,
% inverse(A))))))
% -> double_divide(b,inverse(b)) collapsed.
% Rule
% [328]
% double_divide(b,inverse(double_divide(inverse(double_divide(inverse(A),
% double_divide(b,B))),double_divide(
% inverse(B),
% inverse(A)))))
% -> double_divide(inverse(b),b) collapsed.
% Rule
% [333]
% double_divide(b,inverse(double_divide(inverse(double_divide(inverse(A),b)),
% double_divide(inverse(double_divide(b,b)),inverse(A)))))
% -> double_divide(inverse(b),b) collapsed.
% Rule
% [365]
% double_divide(A,inverse(double_divide(inverse(double_divide(inverse(A),b)),
% double_divide(A,double_divide(inverse(inverse(A)),B)))))
% -> double_divide(inverse(inverse(b)),B) collapsed.
% Rule
% [368]
% double_divide(b,inverse(double_divide(inverse(b),inverse(double_divide(
% inverse(A),double_divide(b,B))))))
% <-> double_divide(inverse(B),inverse(double_divide(inverse(b),inverse(A))))
% collapsed.
% Rule
% [377]
% inverse(double_divide(inverse(b),double_divide(b,A))) ->
% double_divide(b,double_divide(inverse(b),inverse(A))) collapsed.
% Rule
% [382]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(b,B)))) ->
% double_divide(inverse(A),inverse(B)) collapsed.
% Rule
% [402]
% inverse(double_divide(inverse(double_divide(A,b)),double_divide(A,double_divide(
% inverse(B),B))))
% -> b collapsed.
% Rule
% [404]
% double_divide(inverse(B),inverse(inverse(double_divide(inverse(A),double_divide(b,B)))))
% -> double_divide(b,A) collapsed.
% Current number of equations to process: 1163
% Current number of ordered equations: 3
% Current number of rules: 169
% New rule produced :
% [415]
% double_divide(inverse(B),inverse(double_divide(b,double_divide(inverse(A),
% inverse(B))))) ->
% double_divide(b,A)
% Current number of equations to process: 1162
% Current number of ordered equations: 3
% Current number of rules: 170
% New rule produced :
% [416]
% double_divide(inverse(double_divide(b,double_divide(inverse(B),inverse(
% inverse(B))))),
% inverse(A)) -> double_divide(b,inverse(A))
% Current number of equations to process: 1161
% Current number of ordered equations: 3
% Current number of rules: 171
% Rule [410]
% double_divide(inverse(b),inverse(double_divide(inverse(inverse(b)),B)))
% <->
% double_divide(inverse(inverse(A)),inverse(double_divide(inverse(A),B))) is composed into 
% [410]
% double_divide(inverse(b),inverse(double_divide(inverse(inverse(b)),B))) <->
% double_divide(inverse(A),inverse(double_divide(inverse(inverse(A)),B)))
% New rule produced :
% [417]
% double_divide(A,inverse(double_divide(inverse(B),C))) <->
% double_divide(inverse(B),inverse(double_divide(A,C)))
% Rule
% [186]
% double_divide(A,inverse(double_divide(inverse(b),B))) <->
% double_divide(inverse(b),inverse(double_divide(A,B))) collapsed.
% Rule
% [359]
% double_divide(A,inverse(double_divide(inverse(B),b))) <->
% double_divide(inverse(B),inverse(double_divide(A,b))) collapsed.
% Rule
% [403]
% double_divide(inverse(double_divide(A,B)),inverse(double_divide(inverse(B),
% double_divide(A,b)))) -> b
% collapsed.
% Rule
% [411]
% double_divide(inverse(inverse(A)),inverse(double_divide(inverse(A),B))) <->
% double_divide(inverse(b),inverse(double_divide(inverse(inverse(b)),B)))
% collapsed.
% Current number of equations to process: 1162
% Current number of ordered equations: 2
% Current number of rules: 168
% New rule produced :
% [418]
% double_divide(A,double_divide(inverse(B),inverse(C))) <->
% inverse(double_divide(inverse(B),double_divide(A,C)))
% Rule
% [334]
% double_divide(inverse(double_divide(A,double_divide(b,b))),double_divide(
% inverse(b),
% inverse(double_divide(A,
% double_divide(b,
% inverse(b))))))
% -> b collapsed.
% Current number of equations to process: 1162
% Current number of ordered equations: 1
% Current number of rules: 168
% Rule [251]
% double_divide(b,double_divide(A,inverse(B))) <->
% double_divide(inverse(b),inverse(double_divide(b,double_divide(inverse(B),
% inverse(double_divide(A,
% inverse(b))))))) is composed into 
% [251]
% double_divide(b,double_divide(A,inverse(B))) <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(inverse(B),
% inverse(double_divide(A,
% inverse(b)))))))
% Rule [212]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(inverse(A),
% inverse(B))))) <->
% double_divide(inverse(b),inverse(double_divide(b,double_divide(inverse(B),
% inverse(A))))) is composed into 
% [212]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(inverse(A),
% inverse(B))))) <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(inverse(B),
% inverse(A)))))
% New rule produced :
% [419]
% double_divide(inverse(B),inverse(double_divide(A,C))) <->
% double_divide(A,inverse(double_divide(inverse(B),C)))
% Rule
% [187]
% double_divide(inverse(b),inverse(double_divide(A,B))) <->
% double_divide(A,inverse(double_divide(inverse(b),B))) collapsed.
% Rule
% [291]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(inverse(B),
% inverse(double_divide(b,B))))))
% -> double_divide(A,double_divide(b,b)) collapsed.
% Rule
% [292]
% double_divide(inverse(double_divide(A,double_divide(b,b))),double_divide(A,
% double_divide(
% inverse(B),
% inverse(double_divide(b,B)))))
% -> b collapsed.
% Rule
% [415]
% double_divide(inverse(B),inverse(double_divide(b,double_divide(inverse(A),
% inverse(B))))) ->
% double_divide(b,A) collapsed.
% Current number of equations to process: 1163
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [420]
% double_divide(b,inverse(double_divide(inverse(B),double_divide(inverse(A),
% inverse(B))))) ->
% double_divide(b,A)
% Rule
% [412]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(inverse(
% inverse(b)),
% inverse(A))))) ->
% double_divide(b,inverse(b)) collapsed.
% Current number of equations to process: 1162
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [421]
% double_divide(A,double_divide(inverse(b),inverse(double_divide(A,double_divide(b,B)))))
% <-> double_divide(b,double_divide(inverse(B),inverse(b)))
% Current number of equations to process: 1161
% Current number of ordered equations: 1
% Current number of rules: 166
% New rule produced :
% [422]
% double_divide(b,double_divide(inverse(B),inverse(b))) <->
% double_divide(A,double_divide(inverse(b),inverse(double_divide(A,double_divide(b,B)))))
% Current number of equations to process: 1161
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [423]
% inverse(double_divide(inverse(C),double_divide(A,double_divide(B,inverse(b)))))
% <->
% double_divide(A,double_divide(B,inverse(double_divide(inverse(b),inverse(C)))))
% Current number of equations to process: 1160
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced :
% [424]
% double_divide(A,double_divide(B,inverse(double_divide(inverse(b),inverse(C)))))
% <->
% inverse(double_divide(inverse(C),double_divide(A,double_divide(B,inverse(b)))))
% Current number of equations to process: 1160
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [425]
% double_divide(A,double_divide(inverse(b),inverse(double_divide(A,double_divide(b,
% inverse(b))))))
% <-> double_divide(b,double_divide(inverse(B),B))
% Current number of equations to process: 1159
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [426]
% double_divide(B,double_divide(inverse(b),b)) <->
% double_divide(A,double_divide(inverse(b),inverse(double_divide(A,double_divide(B,
% inverse(b))))))
% Current number of equations to process: 1158
% Current number of ordered equations: 1
% Current number of rules: 171
% New rule produced :
% [427]
% double_divide(A,double_divide(inverse(b),inverse(double_divide(A,double_divide(B,
% inverse(b))))))
% <-> double_divide(B,double_divide(inverse(b),b))
% Rule
% [425]
% double_divide(A,double_divide(inverse(b),inverse(double_divide(A,double_divide(b,
% inverse(b))))))
% <-> double_divide(b,double_divide(inverse(B),B)) collapsed.
% Current number of equations to process: 1158
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [428]
% double_divide(inverse(b),inverse(double_divide(inverse(inverse(b)),double_divide(
% inverse(
% inverse(A)),B))))
% -> double_divide(inverse(A),inverse(B))
% Current number of equations to process: 1157
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [429]
% inverse(double_divide(inverse(A),b)) <->
% double_divide(inverse(b),inverse(inverse(A)))
% Current number of equations to process: 1159
% Current number of ordered equations: 1
% Current number of rules: 173
% New rule produced :
% [430]
% double_divide(inverse(b),inverse(inverse(A))) <->
% inverse(double_divide(inverse(A),b))
% Current number of equations to process: 1159
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [431]
% double_divide(A,inverse(inverse(double_divide(inverse(inverse(b)),B)))) ->
% double_divide(A,double_divide(inverse(inverse(b)),B))
% Current number of equations to process: 1160
% Current number of ordered equations: 0
% Current number of rules: 175
% Rule [429]
% inverse(double_divide(inverse(A),b)) <->
% double_divide(inverse(b),inverse(inverse(A))) is composed into [429]
% inverse(
% double_divide(
% inverse(A),b))
% <->
% double_divide(
% inverse(b),A)
% Rule [385]
% double_divide(inverse(b),b) <->
% double_divide(inverse(A),inverse(inverse(A))) is composed into [385]
% double_divide(
% inverse(b),b)
% <->
% double_divide(
% inverse(A),A)
% Rule [330]
% double_divide(A,inverse(B)) <->
% double_divide(inverse(B),inverse(inverse(double_divide(inverse(C),
% double_divide(A,inverse(C)))))) is composed into 
% [330]
% double_divide(A,inverse(B)) <->
% double_divide(inverse(B),double_divide(inverse(C),double_divide(A,inverse(C))))
% Rule [270]
% double_divide(inverse(A),inverse(double_divide(inverse(B),C))) <->
% double_divide(inverse(B),inverse(inverse(double_divide(inverse(C),A)))) is composed into 
% [270]
% double_divide(inverse(A),inverse(double_divide(inverse(B),C))) <->
% double_divide(inverse(B),double_divide(inverse(C),A))
% Rule [262]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(b,
% inverse(B))))) <->
% double_divide(A,double_divide(b,double_divide(inverse(b),inverse(
% inverse(B))))) is composed into 
% [262]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(b,inverse(B)))))
% <-> double_divide(A,double_divide(b,double_divide(inverse(b),B)))
% New rule produced :
% [432] double_divide(A,inverse(inverse(B))) -> double_divide(A,B)
% Rule
% [204]
% double_divide(inverse(b),inverse(inverse(double_divide(B,inverse(double_divide(
% inverse(A),
% double_divide(B,b)))))))
% -> inverse(A) collapsed.
% Rule [205] double_divide(b,inverse(inverse(A))) -> double_divide(b,A)
% collapsed.
% Rule
% [239]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,double_divide(
% inverse(b),
% inverse(
% inverse(B)))))))
% -> b collapsed.
% Rule
% [261]
% double_divide(A,double_divide(b,double_divide(inverse(b),inverse(inverse(B)))))
% <->
% double_divide(inverse(b),inverse(double_divide(A,double_divide(b,inverse(B)))))
% collapsed.
% Rule [356] double_divide(A,inverse(inverse(b))) -> double_divide(A,b)
% collapsed.
% Rule
% [384]
% double_divide(inverse(A),inverse(inverse(A))) <-> double_divide(inverse(b),b)
% collapsed.
% Rule
% [388]
% double_divide(inverse(A),inverse(inverse(double_divide(inverse(b),inverse(A)))))
% -> inverse(b) collapsed.
% Rule
% [389]
% double_divide(inverse(b),double_divide(inverse(A),inverse(inverse(A)))) -> b
% collapsed.
% Rule [401] double_divide(A,inverse(inverse(double_divide(A,B)))) -> B
% collapsed.
% Rule
% [416]
% double_divide(inverse(double_divide(b,double_divide(inverse(B),inverse(
% inverse(B))))),
% inverse(A)) -> double_divide(b,inverse(A)) collapsed.
% Rule
% [430]
% double_divide(inverse(b),inverse(inverse(A))) <->
% inverse(double_divide(inverse(A),b)) collapsed.
% Rule
% [431]
% double_divide(A,inverse(inverse(double_divide(inverse(inverse(b)),B)))) ->
% double_divide(A,double_divide(inverse(inverse(b)),B)) collapsed.
% Current number of equations to process: 1166
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [433]
% double_divide(inverse(A),double_divide(inverse(b),inverse(A))) -> inverse(b)
% Rule
% [350]
% double_divide(inverse(b),inverse(double_divide(inverse(inverse(b)),double_divide(
% inverse(A),
% double_divide(
% inverse(b),
% inverse(A))))))
% -> b collapsed.
% Rule
% [409]
% double_divide(double_divide(inverse(A),A),double_divide(inverse(B),double_divide(
% inverse(b),
% inverse(B))))
% -> b collapsed.
% Current number of equations to process: 1165
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [434]
% double_divide(inverse(double_divide(b,double_divide(inverse(B),B))),inverse(A))
% -> double_divide(b,inverse(A))
% Current number of equations to process: 1164
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [435]
% double_divide(inverse(b),double_divide(inverse(A),inverse(b))) -> inverse(A)
% Rule
% [221]
% double_divide(A,inverse(double_divide(inverse(b),double_divide(inverse(B),
% inverse(b))))) ->
% double_divide(A,B) collapsed.
% Current number of equations to process: 1163
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [436]
% inverse(double_divide(inverse(inverse(b)),A)) <->
% inverse(double_divide(inverse(B),double_divide(inverse(b),double_divide(
% inverse(inverse(B)),A))))
% Current number of equations to process: 1160
% Current number of ordered equations: 1
% Current number of rules: 165
% New rule produced :
% [437]
% inverse(double_divide(inverse(B),double_divide(inverse(b),double_divide(
% inverse(inverse(B)),A))))
% <-> inverse(double_divide(inverse(inverse(b)),A))
% Current number of equations to process: 1160
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [438]
% double_divide(inverse(B),inverse(A)) <-> double_divide(inverse(A),inverse(B))
% Rule
% [177]
% double_divide(A,double_divide(b,double_divide(inverse(C),inverse(b)))) <->
% double_divide(A,double_divide(b,double_divide(inverse(b),inverse(C))))
% collapsed.
% Rule
% [199]
% double_divide(inverse(A),inverse(b)) <-> double_divide(inverse(b),inverse(A))
% collapsed.
% Rule
% [200]
% double_divide(inverse(b),inverse(A)) <-> double_divide(inverse(A),inverse(b))
% collapsed.
% Rule
% [212]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(inverse(A),
% inverse(B))))) <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(inverse(B),
% inverse(A))))) collapsed.
% Rule
% [386]
% double_divide(inverse(B),inverse(double_divide(A,b))) <->
% double_divide(inverse(double_divide(A,b)),inverse(B)) collapsed.
% Rule
% [387]
% double_divide(inverse(double_divide(A,b)),inverse(B)) <->
% double_divide(inverse(B),inverse(double_divide(A,b))) collapsed.
% Current number of equations to process: 1162
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [439]
% double_divide(inverse(inverse(A)),double_divide(inverse(b),A)) -> inverse(b)
% Current number of equations to process: 1162
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [440]
% double_divide(A,inverse(double_divide(double_divide(inverse(B),B),double_divide(A,
% double_divide(C,
% inverse(b))))))
% -> double_divide(C,inverse(b))
% Current number of equations to process: 1161
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [441]
% double_divide(inverse(A),inverse(double_divide(double_divide(inverse(B),B),b)))
% -> double_divide(inverse(A),b)
% Current number of equations to process: 1160
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [442]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(inverse(B),
% inverse(double_divide(A,B))))))
% -> b
% Current number of equations to process: 1162
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [443]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(B,inverse(b)))))
% <->
% double_divide(inverse(double_divide(b,double_divide(B,inverse(b)))),inverse(A))
% Current number of equations to process: 1164
% Current number of ordered equations: 1
% Current number of rules: 166
% New rule produced :
% [444]
% double_divide(inverse(double_divide(b,double_divide(B,inverse(b)))),inverse(A))
% <->
% double_divide(b,inverse(double_divide(inverse(A),double_divide(B,inverse(b)))))
% Current number of equations to process: 1164
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [445]
% inverse(double_divide(A,double_divide(inverse(B),B))) <->
% double_divide(inverse(b),double_divide(A,inverse(b)))
% Current number of equations to process: 1164
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced :
% [446]
% double_divide(inverse(b),double_divide(A,inverse(b))) <->
% inverse(double_divide(A,double_divide(inverse(B),B)))
% Current number of equations to process: 1164
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [447]
% double_divide(A,double_divide(inverse(B),double_divide(inverse(b),double_divide(A,B))))
% -> b
% Rule
% [381]
% double_divide(b,double_divide(inverse(A),double_divide(inverse(b),double_divide(b,A))))
% -> b collapsed.
% Current number of equations to process: 1167
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [448]
% double_divide(A,inverse(b)) <->
% double_divide(inverse(b),double_divide(inverse(inverse(B)),double_divide(A,B)))
% Current number of equations to process: 1173
% Current number of ordered equations: 1
% Current number of rules: 170
% New rule produced :
% [449]
% double_divide(inverse(b),double_divide(inverse(inverse(B)),double_divide(A,B)))
% <-> double_divide(A,inverse(b))
% Current number of equations to process: 1173
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [450]
% double_divide(inverse(A),double_divide(inverse(inverse(b)),inverse(A))) -> b
% Current number of equations to process: 1174
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [451]
% double_divide(inverse(A),double_divide(B,double_divide(inverse(b),inverse(
% double_divide(B,A)))))
% -> b
% Current number of equations to process: 1178
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [452]
% double_divide(A,double_divide(B,inverse(double_divide(A,double_divide(B,
% inverse(b)))))) -> b
% Current number of equations to process: 1178
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [453]
% double_divide(inverse(A),double_divide(B,double_divide(inverse(C),C))) <->
% double_divide(inverse(b),inverse(double_divide(inverse(A),double_divide(B,
% inverse(b)))))
% Current number of equations to process: 1177
% Current number of ordered equations: 1
% Current number of rules: 175
% New rule produced :
% [454]
% double_divide(inverse(b),inverse(double_divide(inverse(A),double_divide(B,
% inverse(b))))) <->
% double_divide(inverse(A),double_divide(B,double_divide(inverse(C),C)))
% Current number of equations to process: 1177
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [455]
% double_divide(inverse(double_divide(A,double_divide(B,b))),double_divide(A,
% double_divide(B,
% double_divide(
% inverse(b),b))))
% -> b
% Current number of equations to process: 1176
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [456]
% double_divide(inverse(C),inverse(double_divide(A,double_divide(inverse(b),
% inverse(B))))) <->
% double_divide(inverse(double_divide(A,B)),inverse(double_divide(inverse(C),b)))
% Current number of equations to process: 1175
% Current number of ordered equations: 1
% Current number of rules: 178
% New rule produced :
% [457]
% double_divide(inverse(double_divide(A,B)),inverse(double_divide(inverse(C),b)))
% <->
% double_divide(inverse(C),inverse(double_divide(A,double_divide(inverse(b),
% inverse(B)))))
% Current number of equations to process: 1175
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [458]
% inverse(double_divide(inverse(C),double_divide(A,double_divide(inverse(
% inverse(C)),B))))
% <->
% double_divide(A,double_divide(inverse(b),inverse(double_divide(inverse(
% inverse(b)),B))))
% Current number of equations to process: 1170
% Current number of ordered equations: 1
% Current number of rules: 180
% New rule produced :
% [459]
% double_divide(A,double_divide(inverse(b),inverse(double_divide(inverse(
% inverse(b)),B))))
% <->
% inverse(double_divide(inverse(C),double_divide(A,double_divide(inverse(
% inverse(C)),B))))
% Current number of equations to process: 1170
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [460]
% double_divide(inverse(b),double_divide(inverse(A),inverse(double_divide(
% inverse(b),
% inverse(double_divide(
% inverse(
% inverse(A)),B))))))
% -> B
% Current number of equations to process: 1168
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [461]
% double_divide(inverse(b),inverse(double_divide(inverse(double_divide(A,
% double_divide(
% inverse(C),C))),B)))
% -> double_divide(inverse(b),inverse(double_divide(A,B)))
% Current number of equations to process: 1167
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [462]
% double_divide(b,double_divide(A,inverse(double_divide(inverse(B),b)))) <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(A,inverse(B)))))
% Current number of equations to process: 1168
% Current number of ordered equations: 1
% Current number of rules: 184
% New rule produced :
% [463]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(A,inverse(B)))))
% <-> double_divide(b,double_divide(A,inverse(double_divide(inverse(B),b))))
% Current number of equations to process: 1168
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [464]
% double_divide(A,inverse(double_divide(b,double_divide(inverse(B),inverse(
% double_divide(A,B))))))
% <-> double_divide(b,double_divide(inverse(b),b))
% Current number of equations to process: 1174
% Current number of ordered equations: 1
% Current number of rules: 186
% New rule produced :
% [465]
% double_divide(b,double_divide(inverse(b),b)) <->
% double_divide(A,inverse(double_divide(b,double_divide(inverse(B),inverse(
% double_divide(A,B))))))
% Current number of equations to process: 1174
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [466]
% double_divide(inverse(double_divide(b,double_divide(A,B))),double_divide(b,
% double_divide(A,
% inverse(double_divide(
% inverse(b),B)))))
% -> b
% Current number of equations to process: 1173
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [467]
% double_divide(inverse(A),double_divide(inverse(b),double_divide(B,inverse(
% double_divide(
% inverse(b),C)))))
% -> double_divide(inverse(A),inverse(double_divide(B,C)))
% Current number of equations to process: 1172
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [468]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(A,inverse(b)))))
% <-> double_divide(b,double_divide(A,double_divide(inverse(B),B)))
% Current number of equations to process: 1173
% Current number of ordered equations: 1
% Current number of rules: 190
% New rule produced :
% [469]
% double_divide(b,double_divide(A,double_divide(inverse(B),B))) <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(A,inverse(b)))))
% Current number of equations to process: 1173
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [470]
% double_divide(b,double_divide(inverse(b),inverse(double_divide(inverse(
% inverse(b)),A))))
% -> double_divide(b,inverse(A))
% Current number of equations to process: 1173
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [471]
% double_divide(b,double_divide(A,double_divide(B,double_divide(inverse(b),b))))
% <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(A,double_divide(B,b)))))
% Current number of equations to process: 1176
% Current number of ordered equations: 1
% Current number of rules: 193
% New rule produced :
% [472]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(A,double_divide(B,b)))))
% <->
% double_divide(b,double_divide(A,double_divide(B,double_divide(inverse(b),b))))
% Current number of equations to process: 1176
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [473]
% inverse(double_divide(inverse(b),double_divide(A,inverse(double_divide(
% inverse(b),B))))) ->
% double_divide(A,B)
% Rule
% [184]
% double_divide(B,inverse(double_divide(inverse(b),double_divide(B,inverse(
% double_divide(
% inverse(b),A))))))
% -> A collapsed.
% Rule
% [203]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(A,inverse(
% double_divide(
% inverse(b),B))))))
% -> double_divide(b,double_divide(A,B)) collapsed.
% Current number of equations to process: 1177
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [474]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(A,inverse(B)))))
% <-> double_divide(b,double_divide(A,double_divide(inverse(b),B)))
% Current number of equations to process: 1176
% Current number of ordered equations: 1
% Current number of rules: 194
% New rule produced :
% [475]
% double_divide(b,double_divide(A,double_divide(inverse(b),B))) <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(A,inverse(B)))))
% Current number of equations to process: 1176
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [476]
% double_divide(A,double_divide(inverse(B),b)) <->
% double_divide(inverse(b),inverse(double_divide(A,B)))
% Current number of equations to process: 1177
% Current number of ordered equations: 1
% Current number of rules: 196
% New rule produced :
% [477]
% double_divide(inverse(b),inverse(double_divide(A,B))) <->
% double_divide(A,double_divide(inverse(B),b))
% Current number of equations to process: 1177
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [478]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(B,double_divide(
% inverse(b),b)))))
% -> double_divide(A,double_divide(B,b))
% Rule
% [243]
% double_divide(B,inverse(double_divide(inverse(b),inverse(double_divide(A,
% double_divide(B,
% double_divide(
% inverse(b),b)))))))
% -> double_divide(A,inverse(b)) collapsed.
% Current number of equations to process: 1183
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [479]
% double_divide(B,inverse(double_divide(A,double_divide(B,b)))) ->
% double_divide(A,inverse(b))
% Rule
% [165]
% double_divide(b,inverse(double_divide(B,inverse(double_divide(inverse(A),
% double_divide(B,b)))))) <->
% double_divide(b,inverse(double_divide(b,double_divide(b,double_divide(
% inverse(b),inverse(A))))))
% collapsed.
% Rule
% [211]
% double_divide(b,inverse(double_divide(A,double_divide(b,b)))) ->
% double_divide(A,inverse(b)) collapsed.
% Current number of equations to process: 1182
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [480]
% double_divide(inverse(A),double_divide(B,double_divide(inverse(b),inverse(C))))
% <->
% double_divide(inverse(b),inverse(double_divide(inverse(A),double_divide(B,C))))
% Rule
% [196]
% double_divide(inverse(double_divide(A,B)),double_divide(A,double_divide(
% inverse(b),
% inverse(B)))) -> b
% collapsed.
% Current number of equations to process: 1181
% Current number of ordered equations: 1
% Current number of rules: 196
% New rule produced :
% [481]
% double_divide(inverse(b),inverse(double_divide(inverse(A),double_divide(B,C))))
% <->
% double_divide(inverse(A),double_divide(B,double_divide(inverse(b),inverse(C))))
% Current number of equations to process: 1181
% Current number of ordered equations: 0
% Current number of rules: 197
% Rule [458]
% inverse(double_divide(inverse(C),double_divide(A,double_divide(inverse(
% inverse(C)),B))))
% <->
% double_divide(A,double_divide(inverse(b),inverse(double_divide(inverse(
% inverse(b)),B)))) is composed into 
% [458]
% inverse(double_divide(inverse(C),double_divide(A,double_divide(inverse(
% inverse(C)),B))))
% -> double_divide(A,inverse(B))
% Rule [97]
% double_divide(B,inverse(double_divide(inverse(C),double_divide(B,
% double_divide(inverse(
% inverse(C)),A)))))
% <->
% double_divide(inverse(b),inverse(double_divide(inverse(inverse(b)),A))) is composed into 
% [97]
% double_divide(B,inverse(double_divide(inverse(C),double_divide(B,double_divide(
% inverse(
% inverse(C)),A)))))
% -> inverse(A)
% Rule [63]
% double_divide(B,inverse(double_divide(inverse(C),double_divide(B,
% double_divide(inverse(
% inverse(C)),A)))))
% <->
% double_divide(inverse(b),inverse(double_divide(inverse(inverse(b)),A))) is composed into 
% [63]
% double_divide(B,inverse(double_divide(inverse(C),double_divide(B,double_divide(
% inverse(
% inverse(C)),A)))))
% -> inverse(A)
% New rule produced :
% [482]
% double_divide(inverse(A),inverse(double_divide(inverse(inverse(A)),B))) ->
% inverse(B)
% Rule
% [238]
% double_divide(inverse(b),inverse(double_divide(inverse(inverse(b)),B))) <->
% double_divide(inverse(A),inverse(double_divide(inverse(inverse(A)),B)))
% collapsed.
% Rule
% [247]
% double_divide(inverse(b),inverse(double_divide(inverse(inverse(b)),inverse(B))))
% -> B collapsed.
% Rule
% [410]
% double_divide(inverse(b),inverse(double_divide(inverse(inverse(b)),B))) <->
% double_divide(inverse(A),inverse(double_divide(inverse(inverse(A)),B)))
% collapsed.
% Rule
% [428]
% double_divide(inverse(b),inverse(double_divide(inverse(inverse(b)),double_divide(
% inverse(
% inverse(A)),B))))
% -> double_divide(inverse(A),inverse(B)) collapsed.
% Rule
% [459]
% double_divide(A,double_divide(inverse(b),inverse(double_divide(inverse(
% inverse(b)),B))))
% <->
% inverse(double_divide(inverse(C),double_divide(A,double_divide(inverse(
% inverse(C)),B))))
% collapsed.
% Rule
% [470]
% double_divide(b,double_divide(inverse(b),inverse(double_divide(inverse(
% inverse(b)),A))))
% -> double_divide(b,inverse(A)) collapsed.
% Current number of equations to process: 1183
% Current number of ordered equations: 0
% Current number of rules: 192
% Rule [448]
% double_divide(A,inverse(b)) <->
% double_divide(inverse(b),double_divide(inverse(inverse(B)),double_divide(A,B))) is composed into 
% [448]
% double_divide(A,inverse(b)) <->
% double_divide(inverse(b),double_divide(B,double_divide(A,B)))
% Rule [300]
% double_divide(b,inverse(double_divide(inverse(A),B))) <->
% double_divide(inverse(inverse(inverse(double_divide(b,B)))),inverse(A)) is composed into 
% [300]
% double_divide(b,inverse(double_divide(inverse(A),B))) <->
% double_divide(inverse(double_divide(b,B)),inverse(A))
% Rule [98]
% double_divide(double_divide(inverse(b),b),A) <->
% double_divide(B,inverse(double_divide(inverse(C),double_divide(B,
% double_divide(inverse(
% inverse(C)),A))))) is composed into 
% [98]
% double_divide(double_divide(inverse(b),b),A) <->
% double_divide(B,inverse(double_divide(inverse(C),double_divide(B,double_divide(C,A)))))
% New rule produced : [483] inverse(inverse(B)) -> B
% Rule
% [63]
% double_divide(B,inverse(double_divide(inverse(C),double_divide(B,double_divide(
% inverse(
% inverse(C)),A)))))
% -> inverse(A) collapsed.
% Rule
% [97]
% double_divide(B,inverse(double_divide(inverse(C),double_divide(B,double_divide(
% inverse(
% inverse(C)),A)))))
% -> inverse(A) collapsed.
% Rule
% [263]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,double_divide(
% inverse(
% inverse(B)),
% inverse(C))))))
% -> C collapsed.
% Rule
% [279]
% double_divide(inverse(inverse(A)),inverse(double_divide(B,inverse(double_divide(
% inverse(A),
% double_divide(B,C))))))
% -> C collapsed.
% Rule
% [327]
% inverse(double_divide(inverse(A),inverse(double_divide(inverse(B),double_divide(C,
% double_divide(
% inverse(
% inverse(B)),A))))))
% -> double_divide(C,double_divide(inverse(b),b)) collapsed.
% Rule [432] double_divide(A,inverse(inverse(B))) -> double_divide(A,B)
% collapsed.
% Rule
% [436]
% inverse(double_divide(inverse(inverse(b)),A)) <->
% inverse(double_divide(inverse(B),double_divide(inverse(b),double_divide(
% inverse(inverse(B)),A))))
% collapsed.
% Rule
% [437]
% inverse(double_divide(inverse(B),double_divide(inverse(b),double_divide(
% inverse(inverse(B)),A))))
% <-> inverse(double_divide(inverse(inverse(b)),A)) collapsed.
% Rule
% [439]
% double_divide(inverse(inverse(A)),double_divide(inverse(b),A)) -> inverse(b)
% collapsed.
% Rule
% [449]
% double_divide(inverse(b),double_divide(inverse(inverse(B)),double_divide(A,B)))
% <-> double_divide(A,inverse(b)) collapsed.
% Rule
% [450]
% double_divide(inverse(A),double_divide(inverse(inverse(b)),inverse(A))) -> b
% collapsed.
% Rule
% [458]
% inverse(double_divide(inverse(C),double_divide(A,double_divide(inverse(
% inverse(C)),B))))
% -> double_divide(A,inverse(B)) collapsed.
% Rule
% [460]
% double_divide(inverse(b),double_divide(inverse(A),inverse(double_divide(
% inverse(b),
% inverse(double_divide(
% inverse(
% inverse(A)),B))))))
% -> B collapsed.
% Rule
% [482]
% double_divide(inverse(A),inverse(double_divide(inverse(inverse(A)),B))) ->
% inverse(B) collapsed.
% Current number of equations to process: 1193
% Current number of ordered equations: 0
% Current number of rules: 179
% Rule [464]
% double_divide(A,inverse(double_divide(b,double_divide(inverse(B),
% inverse(double_divide(A,B))))))
% <-> double_divide(b,double_divide(inverse(b),b)) is composed into 
% [464]
% double_divide(A,inverse(double_divide(b,double_divide(inverse(B),inverse(
% double_divide(A,B))))))
% -> inverse(b)
% Rule [311]
% double_divide(A,inverse(double_divide(inverse(b),double_divide(A,
% double_divide(b,b)))))
% -> double_divide(b,double_divide(inverse(b),b)) is composed into 
% [311]
% double_divide(A,inverse(double_divide(inverse(b),double_divide(A,double_divide(b,b)))))
% -> inverse(b)
% New rule produced :
% [484] double_divide(A,double_divide(inverse(b),A)) -> inverse(b)
% Rule
% [308]
% double_divide(b,double_divide(inverse(b),b)) <->
% double_divide(b,double_divide(inverse(A),A)) collapsed.
% Rule
% [433]
% double_divide(inverse(A),double_divide(inverse(b),inverse(A))) -> inverse(b)
% collapsed.
% Rule
% [465]
% double_divide(b,double_divide(inverse(b),b)) <->
% double_divide(A,inverse(double_divide(b,double_divide(inverse(B),inverse(
% double_divide(A,B))))))
% collapsed.
% Current number of equations to process: 1193
% Current number of ordered equations: 0
% Current number of rules: 177
% Rule [406]
% inverse(double_divide(inverse(b),double_divide(A,double_divide(b,b))))
% <-> double_divide(A,double_divide(b,double_divide(inverse(B),B))) is composed into 
% [406]
% inverse(double_divide(inverse(b),double_divide(A,double_divide(b,b)))) ->
% double_divide(A,inverse(b))
% Rule [219]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(b,
% inverse(b))))) <->
% double_divide(A,double_divide(b,double_divide(inverse(B),B))) is composed into 
% [219]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(b,inverse(b)))))
% -> double_divide(A,inverse(b))
% New rule produced :
% [485] double_divide(b,double_divide(inverse(A),A)) -> inverse(b)
% Rule
% [47]
% double_divide(inverse(double_divide(A,double_divide(b,b))),double_divide(A,
% double_divide(b,
% double_divide(
% inverse(B),B))))
% -> b collapsed.
% Rule
% [138]
% double_divide(A,double_divide(b,double_divide(inverse(B),B))) <->
% double_divide(b,double_divide(b,double_divide(inverse(b),inverse(double_divide(A,
% double_divide(b,
% inverse(b)))))))
% collapsed.
% Rule
% [218]
% double_divide(A,double_divide(b,double_divide(inverse(B),B))) <->
% double_divide(inverse(b),inverse(double_divide(A,double_divide(b,inverse(b)))))
% collapsed.
% Rule
% [353]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(b,double_divide(
% inverse(B),B)))))
% -> double_divide(A,double_divide(b,b)) collapsed.
% Rule
% [407]
% double_divide(A,double_divide(b,double_divide(inverse(B),B))) <->
% inverse(double_divide(inverse(b),double_divide(A,double_divide(b,b))))
% collapsed.
% Rule
% [434]
% double_divide(inverse(double_divide(b,double_divide(inverse(B),B))),inverse(A))
% -> double_divide(b,inverse(A)) collapsed.
% Current number of equations to process: 1193
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [486] double_divide(inverse(A),double_divide(b,inverse(A))) -> b
% Current number of equations to process: 1192
% Current number of ordered equations: 0
% Current number of rules: 173
% Rule [475]
% double_divide(b,double_divide(A,double_divide(inverse(b),B))) <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(A,
% inverse(B))))) is composed into 
% [475]
% double_divide(b,double_divide(A,double_divide(inverse(b),B))) ->
% inverse(double_divide(A,inverse(B)))
% Rule [471]
% double_divide(b,double_divide(A,double_divide(B,double_divide(inverse(b),b))))
% <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(A,
% double_divide(B,b))))) is composed into 
% [471]
% double_divide(b,double_divide(A,double_divide(B,double_divide(inverse(b),b))))
% -> inverse(double_divide(A,double_divide(B,b)))
% Rule [469]
% double_divide(b,double_divide(A,double_divide(inverse(B),B))) <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(A,
% inverse(b))))) is composed into 
% [469]
% double_divide(b,double_divide(A,double_divide(inverse(B),B))) ->
% inverse(double_divide(A,inverse(b)))
% Rule [462]
% double_divide(b,double_divide(A,inverse(double_divide(inverse(B),b))))
% <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(A,
% inverse(B))))) is composed into 
% [462]
% double_divide(b,double_divide(A,inverse(double_divide(inverse(B),b)))) ->
% inverse(double_divide(A,inverse(B)))
% Rule [251]
% double_divide(b,double_divide(A,inverse(B))) <->
% double_divide(b,inverse(double_divide(inverse(b),double_divide(inverse(B),
% inverse(double_divide(A,
% inverse(b))))))) is composed into 
% [251]
% double_divide(b,double_divide(A,inverse(B))) <->
% inverse(double_divide(inverse(B),inverse(double_divide(A,inverse(b)))))
% New rule produced :
% [487] double_divide(A,inverse(double_divide(inverse(A),B))) -> inverse(B)
% Rule
% [366]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(b,inverse(
% double_divide(
% inverse(b),
% inverse(B)))))))
% -> double_divide(A,double_divide(b,inverse(B))) collapsed.
% Rule
% [463]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(A,inverse(B)))))
% <-> double_divide(b,double_divide(A,inverse(double_divide(inverse(B),b))))
% collapsed.
% Rule
% [468]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(A,inverse(b)))))
% <-> double_divide(b,double_divide(A,double_divide(inverse(B),B))) collapsed.
% Rule
% [472]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(A,double_divide(B,b)))))
% <->
% double_divide(b,double_divide(A,double_divide(B,double_divide(inverse(b),b))))
% collapsed.
% Rule
% [474]
% double_divide(b,inverse(double_divide(inverse(b),double_divide(A,inverse(B)))))
% <-> double_divide(b,double_divide(A,double_divide(inverse(b),B))) collapsed.
% Current number of equations to process: 1192
% Current number of ordered equations: 0
% Current number of rules: 169
% Rule [476]
% double_divide(A,double_divide(inverse(B),b)) <->
% double_divide(inverse(b),inverse(double_divide(A,B))) is composed into 
% [476]
% double_divide(A,double_divide(inverse(B),b)) <->
% inverse(double_divide(b,double_divide(A,B)))
% Rule [467]
% double_divide(inverse(A),double_divide(inverse(b),double_divide(B,
% inverse(double_divide(
% inverse(b),C)))))
% -> double_divide(inverse(A),inverse(double_divide(B,C))) is composed into 
% [467]
% double_divide(inverse(A),double_divide(inverse(b),double_divide(B,inverse(
% double_divide(
% inverse(b),C)))))
% -> inverse(double_divide(A,double_divide(B,C)))
% Rule [453]
% double_divide(inverse(A),double_divide(B,double_divide(inverse(C),C)))
% <->
% double_divide(inverse(b),inverse(double_divide(inverse(A),double_divide(B,
% inverse(b))))) is composed into 
% [453]
% double_divide(inverse(A),double_divide(B,double_divide(inverse(C),C))) ->
% inverse(double_divide(b,double_divide(inverse(A),double_divide(B,inverse(b)))))
% Rule [443]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(B,
% inverse(b))))) <->
% double_divide(inverse(double_divide(b,double_divide(B,inverse(b)))),
% inverse(A)) is composed into [443]
% double_divide(b,inverse(double_divide(
% inverse(A),
% double_divide(B,
% inverse(b))))) <->
% inverse(double_divide(double_divide(b,
% double_divide(B,
% inverse(b))),A))
% Rule [426]
% double_divide(B,double_divide(inverse(b),b)) <->
% double_divide(A,double_divide(inverse(b),inverse(double_divide(A,
% double_divide(B,
% inverse(b)))))) is composed into 
% [426]
% double_divide(B,double_divide(inverse(b),b)) <->
% double_divide(A,inverse(double_divide(b,double_divide(A,double_divide(B,
% inverse(b))))))
% Rule [423]
% inverse(double_divide(inverse(C),double_divide(A,double_divide(B,
% inverse(b))))) <->
% double_divide(A,double_divide(B,inverse(double_divide(inverse(b),
% inverse(C))))) is composed into 
% [423]
% inverse(double_divide(inverse(C),double_divide(A,double_divide(B,inverse(b)))))
% <-> double_divide(A,double_divide(B,inverse(inverse(double_divide(b,C)))))
% Rule [417]
% double_divide(A,inverse(double_divide(inverse(B),C))) <->
% double_divide(inverse(B),inverse(double_divide(A,C))) is composed into 
% [417]
% double_divide(A,inverse(double_divide(inverse(B),C))) <->
% inverse(double_divide(B,double_divide(A,C)))
% Rule [414]
% inverse(double_divide(inverse(B),double_divide(A,C))) <->
% double_divide(A,double_divide(inverse(B),inverse(C))) is composed into 
% [414]
% inverse(double_divide(inverse(B),double_divide(A,C))) <->
% double_divide(A,inverse(double_divide(B,C)))
% Rule [399]
% double_divide(B,inverse(A)) <->
% double_divide(inverse(A),inverse(double_divide(B,double_divide(inverse(b),b)))) is composed into 
% [399]
% double_divide(B,inverse(A)) <->
% inverse(double_divide(A,double_divide(B,double_divide(inverse(b),b))))
% Rule [395]
% inverse(double_divide(inverse(A),b)) <->
% double_divide(b,double_divide(inverse(double_divide(b,b)),inverse(A))) is composed into 
% [395]
% inverse(double_divide(inverse(A),b)) <->
% double_divide(b,inverse(double_divide(double_divide(b,b),A)))
% Rule [392]
% double_divide(inverse(b),b) <->
% double_divide(A,double_divide(inverse(B),inverse(double_divide(A,B)))) is composed into 
% [392]
% double_divide(inverse(b),b) <->
% double_divide(A,inverse(double_divide(B,double_divide(A,B))))
% Rule [378]
% inverse(double_divide(inverse(b),double_divide(A,B))) <->
% double_divide(A,double_divide(inverse(B),inverse(b))) is composed into 
% [378]
% inverse(double_divide(inverse(b),double_divide(A,B))) <->
% double_divide(A,inverse(double_divide(B,b)))
% Rule [373]
% double_divide(A,double_divide(b,double_divide(B,inverse(double_divide(
% inverse(b),
% double_divide(B,C))))))
% ->
% double_divide(A,double_divide(b,double_divide(inverse(b),inverse(C)))) is composed into 
% [373]
% double_divide(A,double_divide(b,double_divide(B,inverse(double_divide(
% inverse(b),double_divide(B,C))))))
% -> double_divide(A,double_divide(b,inverse(double_divide(b,C))))
% Rule [349]
% double_divide(C,inverse(B)) <->
% double_divide(A,inverse(double_divide(inverse(B),double_divide(inverse(b),
% inverse(double_divide(A,
% double_divide(C,
% inverse(b)))))))) is composed into 
% [349]
% double_divide(C,inverse(B)) <->
% double_divide(A,inverse(inverse(double_divide(B,double_divide(b,double_divide(A,
% double_divide(C,
% inverse(b))))))))
% Rule [346]
% double_divide(B,double_divide(inverse(b),b)) <->
% double_divide(A,inverse(double_divide(inverse(b),inverse(double_divide(B,
% double_divide(A,
% inverse(b))))))) is composed into 
% [346]
% double_divide(B,double_divide(inverse(b),b)) <->
% double_divide(A,inverse(inverse(double_divide(b,double_divide(B,double_divide(A,
% inverse(b)))))))
% Rule [302]
% double_divide(b,inverse(double_divide(inverse(A),B))) <->
% double_divide(inverse(double_divide(inverse(double_divide(b,C)),
% double_divide(inverse(B),C))),inverse(A)) is composed into 
% [302]
% double_divide(b,inverse(double_divide(inverse(A),B))) <->
% inverse(double_divide(double_divide(inverse(double_divide(b,C)),double_divide(
% inverse(B),C)),A))
% Rule [300]
% double_divide(b,inverse(double_divide(inverse(A),B))) <->
% double_divide(inverse(double_divide(b,B)),inverse(A)) is composed into 
% [300]
% double_divide(b,inverse(double_divide(inverse(A),B))) <->
% inverse(double_divide(double_divide(b,B),A))
% Rule [295]
% double_divide(V_3,inverse(B)) <->
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,
% double_divide(inverse(C),
% inverse(double_divide(V_3,C))))))) is composed into 
% [295]
% double_divide(V_3,inverse(B)) <->
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,inverse(
% double_divide(C,
% double_divide(V_3,C)))))))
% Rule [289]
% double_divide(A,double_divide(B,inverse(double_divide(inverse(C),
% double_divide(B,inverse(C))))))
% <-> double_divide(inverse(V_3),inverse(double_divide(A,V_3))) is composed into 
% [289]
% double_divide(A,double_divide(B,inverse(double_divide(inverse(C),double_divide(B,
% inverse(C))))))
% <-> inverse(double_divide(V_3,double_divide(A,V_3)))
% Rule [286]
% double_divide(A,inverse(b)) <->
% double_divide(inverse(B),inverse(double_divide(inverse(b),inverse(
% double_divide(A,B))))) is composed into 
% [286]
% double_divide(A,inverse(b)) <->
% inverse(double_divide(B,inverse(double_divide(b,double_divide(A,B)))))
% Rule [282]
% double_divide(B,inverse(b)) <->
% double_divide(inverse(b),inverse(double_divide(inverse(A),inverse(
% double_divide(B,A))))) is composed into 
% [282]
% double_divide(B,inverse(b)) <->
% inverse(double_divide(b,inverse(double_divide(A,double_divide(B,A)))))
% Rule [271]
% double_divide(A,double_divide(b,double_divide(B,inverse(double_divide(
% inverse(b),
% double_divide(B,C))))))
% <->
% double_divide(inverse(b),inverse(double_divide(A,double_divide(b,C)))) is composed into 
% [271]
% double_divide(A,double_divide(b,double_divide(B,inverse(double_divide(
% inverse(b),double_divide(B,C))))))
% <-> inverse(double_divide(b,double_divide(A,double_divide(b,C))))
% Rule [267]
% double_divide(V_3,inverse(C)) <->
% double_divide(inverse(A),inverse(double_divide(B,inverse(double_divide(
% inverse(C),
% double_divide(B,
% double_divide(V_3,A))))))) is composed into 
% [267]
% double_divide(V_3,inverse(C)) <->
% inverse(double_divide(A,double_divide(B,inverse(double_divide(inverse(C),
% double_divide(B,double_divide(V_3,A)))))))
% Rule [255]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))
% <-> double_divide(inverse(C),inverse(B)) is composed into [255]
% double_divide(A,
% inverse(
% double_divide(
% inverse(B),
% double_divide(A,C))))
% <->
% inverse(
% double_divide(C,B))
% Rule [251]
% double_divide(b,double_divide(A,inverse(B))) <->
% inverse(double_divide(inverse(B),inverse(double_divide(A,inverse(b))))) is composed into 
% [251]
% double_divide(b,double_divide(A,inverse(B))) <->
% inverse(inverse(double_divide(B,double_divide(A,inverse(b)))))
% Rule [240]
% double_divide(A,double_divide(B,double_divide(inverse(b),b))) <->
% double_divide(inverse(b),inverse(double_divide(A,double_divide(B,
% inverse(b))))) is composed into 
% [240]
% double_divide(A,double_divide(B,double_divide(inverse(b),b))) <->
% inverse(double_divide(b,double_divide(A,double_divide(B,inverse(b)))))
% Rule [228]
% double_divide(A,double_divide(inverse(B),B)) <->
% double_divide(inverse(b),inverse(double_divide(A,b))) is composed into 
% [228]
% double_divide(A,double_divide(inverse(B),B)) <->
% inverse(double_divide(b,double_divide(A,b)))
% Rule [209]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,
% double_divide(C,
% inverse(b)))))) <->
% double_divide(inverse(b),inverse(double_divide(C,inverse(B)))) is composed into 
% [209]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,double_divide(C,
% inverse(b))))))
% <-> inverse(double_divide(b,double_divide(C,inverse(B))))
% Rule [170]
% double_divide(V_3,inverse(double_divide(inverse(C),double_divide(V_3,
% double_divide(A,
% inverse(b)))))) <->
% double_divide(A,inverse(double_divide(inverse(b),inverse(C)))) is composed into 
% [170]
% double_divide(V_3,inverse(double_divide(inverse(C),double_divide(V_3,
% double_divide(A,inverse(b))))))
% <-> double_divide(A,inverse(inverse(double_divide(b,C))))
% Rule [145]
% double_divide(A,double_divide(B,double_divide(inverse(b),b))) <->
% double_divide(b,double_divide(b,double_divide(inverse(b),inverse(
% double_divide(A,
% double_divide(B,
% inverse(b))))))) is composed into 
% [145]
% double_divide(A,double_divide(B,double_divide(inverse(b),b))) <->
% double_divide(b,double_divide(b,inverse(double_divide(b,double_divide(A,
% double_divide(B,
% inverse(b)))))))
% Rule [129]
% double_divide(b,inverse(double_divide(inverse(A),b))) <->
% double_divide(inverse(double_divide(b,b)),inverse(A)) is composed into 
% [129]
% double_divide(b,inverse(double_divide(inverse(A),b))) <->
% inverse(double_divide(double_divide(b,b),A))
% Rule [122]
% double_divide(A,inverse(b)) <->
% double_divide(inverse(double_divide(inverse(b),B)),inverse(double_divide(A,
% inverse(B)))) is composed into 
% [122]
% double_divide(A,inverse(b)) <->
% inverse(double_divide(double_divide(inverse(b),B),double_divide(A,inverse(B))))
% Rule [115]
% double_divide(A,double_divide(inverse(b),b)) <->
% double_divide(inverse(B),inverse(double_divide(A,B))) is composed into 
% [115]
% double_divide(A,double_divide(inverse(b),b)) <->
% inverse(double_divide(B,double_divide(A,B)))
% Rule [92]
% double_divide(A,double_divide(inverse(B),B)) <->
% double_divide(b,double_divide(b,double_divide(inverse(b),inverse(
% double_divide(A,b))))) is composed into 
% [92]
% double_divide(A,double_divide(inverse(B),B)) <->
% double_divide(b,double_divide(b,inverse(double_divide(b,double_divide(A,b)))))
% Rule [7]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))
% -> double_divide(inverse(B),inverse(C)) is composed into [7]
% double_divide(A,
% inverse(
% double_divide(
% inverse(B),
% double_divide(A,C))))
% ->
% inverse(
% double_divide(B,C))
% New rule produced :
% [488] double_divide(inverse(A),inverse(B)) -> inverse(double_divide(A,B))
% Rule [28] double_divide(inverse(b),inverse(double_divide(inverse(A),b))) -> A
% collapsed.
% Rule
% [42]
% double_divide(inverse(double_divide(A,B)),double_divide(A,double_divide(
% inverse(B),
% inverse(b)))) -> b
% collapsed.
% Rule
% [76]
% double_divide(A,double_divide(b,double_divide(inverse(B),inverse(b)))) <->
% double_divide(b,double_divide(b,double_divide(inverse(b),inverse(double_divide(A,
% double_divide(b,B))))))
% collapsed.
% Rule
% [106] double_divide(inverse(A),inverse(double_divide(inverse(B),A))) -> B
% collapsed.
% Rule
% [108] double_divide(inverse(b),inverse(double_divide(inverse(A),b))) -> A
% collapsed.
% Rule
% [116]
% double_divide(inverse(B),inverse(double_divide(A,B))) <->
% double_divide(A,double_divide(inverse(b),b)) collapsed.
% Rule
% [120]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(inverse(B),
% inverse(C))))) <->
% double_divide(inverse(double_divide(b,double_divide(inverse(C),inverse(B)))),
% inverse(A)) collapsed.
% Rule
% [158]
% double_divide(inverse(double_divide(A,double_divide(inverse(B),B))),inverse(
% double_divide(
% inverse(C),b)))
% <-> double_divide(inverse(C),inverse(double_divide(A,b))) collapsed.
% Rule
% [189]
% double_divide(inverse(b),inverse(double_divide(A,inverse(double_divide(
% inverse(B),double_divide(A,
% inverse(B)))))))
% -> b collapsed.
% Rule
% [194]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(inverse(B),B))))
% -> double_divide(A,inverse(b)) collapsed.
% Rule
% [206]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(inverse(b),
% inverse(B))))) ->
% double_divide(A,B) collapsed.
% Rule
% [207]
% double_divide(A,double_divide(b,double_divide(inverse(B),inverse(b)))) <->
% double_divide(inverse(b),inverse(double_divide(A,double_divide(b,B))))
% collapsed.
% Rule
% [208]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(b,B)))) <->
% double_divide(A,double_divide(b,double_divide(inverse(B),inverse(b))))
% collapsed.
% Rule
% [210]
% double_divide(inverse(b),inverse(double_divide(C,inverse(B)))) <->
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,double_divide(C,
% inverse(b))))))
% collapsed.
% Rule
% [213]
% double_divide(b,inverse(double_divide(inverse(A),double_divide(inverse(b),
% inverse(B))))) <->
% double_divide(inverse(double_divide(b,double_divide(inverse(b),inverse(B)))),
% inverse(A)) collapsed.
% Rule
% [219]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(b,inverse(b)))))
% -> double_divide(A,inverse(b)) collapsed.
% Rule
% [222]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(inverse(B),
% inverse(b))))) ->
% double_divide(A,B) collapsed.
% Rule
% [229]
% double_divide(inverse(b),inverse(double_divide(A,b))) <->
% double_divide(A,double_divide(inverse(B),B)) collapsed.
% Rule
% [241]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(B,inverse(b)))))
% <-> double_divide(A,double_divide(B,double_divide(inverse(b),b))) collapsed.
% Rule
% [248]
% double_divide(inverse(double_divide(A,double_divide(inverse(b),b))),inverse(B))
% -> double_divide(A,inverse(B)) collapsed.
% Rule
% [250]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(B,inverse(
% double_divide(
% inverse(C),
% double_divide(B,
% inverse(C))))))))
% -> double_divide(A,inverse(b)) collapsed.
% Rule
% [256]
% double_divide(inverse(C),inverse(B)) <->
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))
% collapsed.
% Rule
% [262]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(b,inverse(B)))))
% <-> double_divide(A,double_divide(b,double_divide(inverse(b),B))) collapsed.
% Rule
% [264]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(B,inverse(
% double_divide(
% inverse(b),
% double_divide(B,C)))))))
% -> double_divide(A,C) collapsed.
% Rule
% [268]
% double_divide(inverse(A),inverse(double_divide(B,inverse(double_divide(
% inverse(C),double_divide(B,
% double_divide(V_3,A)))))))
% <-> double_divide(V_3,inverse(C)) collapsed.
% Rule
% [270]
% double_divide(inverse(A),inverse(double_divide(inverse(B),C))) <->
% double_divide(inverse(B),double_divide(inverse(C),A)) collapsed.
% Rule
% [272]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(b,C)))) <->
% double_divide(A,double_divide(b,double_divide(B,inverse(double_divide(
% inverse(b),double_divide(B,C))))))
% collapsed.
% Rule
% [274]
% double_divide(inverse(B),inverse(double_divide(inverse(b),inverse(double_divide(
% inverse(A),B)))))
% -> double_divide(inverse(b),inverse(A)) collapsed.
% Rule
% [281]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(inverse(C),
% inverse(double_divide(A,C))))))
% -> B collapsed.
% Rule
% [283]
% double_divide(inverse(b),inverse(double_divide(inverse(A),inverse(double_divide(B,A)))))
% <-> double_divide(B,inverse(b)) collapsed.
% Rule
% [284]
% double_divide(inverse(B),inverse(double_divide(A,B))) <->
% double_divide(inverse(b),inverse(double_divide(A,b))) collapsed.
% Rule
% [285]
% double_divide(inverse(b),inverse(double_divide(A,b))) <->
% double_divide(inverse(B),inverse(double_divide(A,B))) collapsed.
% Rule
% [287]
% double_divide(inverse(B),inverse(double_divide(inverse(b),inverse(double_divide(A,B)))))
% <-> double_divide(A,inverse(b)) collapsed.
% Rule
% [290]
% double_divide(inverse(V_3),inverse(double_divide(A,V_3))) <->
% double_divide(A,double_divide(B,inverse(double_divide(inverse(C),double_divide(B,
% inverse(C))))))
% collapsed.
% Rule
% [294]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,double_divide(
% inverse(C),
% inverse(
% double_divide(V_3,C)))))))
% <-> double_divide(V_3,inverse(B)) collapsed.
% Rule
% [297]
% double_divide(inverse(double_divide(A,double_divide(inverse(B),inverse(
% double_divide(C,B))))),
% double_divide(A,double_divide(C,inverse(b)))) -> b collapsed.
% Rule
% [315]
% double_divide(A,inverse(double_divide(inverse(b),inverse(double_divide(
% inverse(B),double_divide(A,
% inverse(B)))))))
% -> b collapsed.
% Rule
% [337]
% double_divide(inverse(b),inverse(double_divide(inverse(b),inverse(double_divide(A,
% double_divide(b,
% inverse(b)))))))
% -> double_divide(A,double_divide(b,b)) collapsed.
% Rule
% [340]
% double_divide(A,inverse(double_divide(inverse(b),inverse(double_divide(
% inverse(B),double_divide(A,
% inverse(b)))))))
% -> B collapsed.
% Rule
% [344]
% double_divide(A,double_divide(inverse(B),inverse(double_divide(C,B)))) <->
% double_divide(inverse(b),inverse(double_divide(A,double_divide(C,inverse(b)))))
% collapsed.
% Rule
% [345]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(C,inverse(b)))))
% <-> double_divide(A,double_divide(inverse(B),inverse(double_divide(C,B))))
% collapsed.
% Rule
% [347]
% double_divide(A,inverse(double_divide(inverse(b),inverse(double_divide(B,
% double_divide(A,
% inverse(b))))))) <->
% double_divide(B,double_divide(inverse(b),b)) collapsed.
% Rule
% [348]
% double_divide(A,inverse(double_divide(inverse(B),double_divide(inverse(b),
% inverse(double_divide(A,
% double_divide(C,
% inverse(b))))))))
% <-> double_divide(C,inverse(B)) collapsed.
% Rule
% [352]
% inverse(double_divide(inverse(double_divide(A,b)),inverse(double_divide(
% inverse(B),
% double_divide(A,
% inverse(B)))))) ->
% b collapsed.
% Rule
% [367]
% double_divide(inverse(B),inverse(double_divide(inverse(b),inverse(A)))) <->
% double_divide(b,double_divide(b,double_divide(inverse(b),inverse(double_divide(
% inverse(A),
% inverse(B))))))
% collapsed.
% Rule
% [379]
% double_divide(A,double_divide(inverse(B),inverse(b))) <->
% inverse(double_divide(inverse(b),double_divide(A,B))) collapsed.
% Rule
% [391]
% double_divide(A,double_divide(inverse(B),inverse(double_divide(A,B)))) <->
% double_divide(inverse(b),b) collapsed.
% Rule
% [396]
% double_divide(b,double_divide(inverse(double_divide(b,b)),inverse(A))) <->
% inverse(double_divide(inverse(A),b)) collapsed.
% Rule
% [397]
% double_divide(B,inverse(double_divide(inverse(b),inverse(A)))) <->
% double_divide(inverse(A),inverse(double_divide(B,inverse(b)))) collapsed.
% Rule
% [398]
% double_divide(inverse(A),inverse(double_divide(B,inverse(b)))) <->
% double_divide(B,inverse(double_divide(inverse(b),inverse(A)))) collapsed.
% Rule
% [400]
% double_divide(inverse(A),inverse(double_divide(B,double_divide(inverse(b),b))))
% <-> double_divide(B,inverse(A)) collapsed.
% Rule
% [405]
% double_divide(inverse(B),inverse(double_divide(A,inverse(double_divide(
% inverse(b),B))))) ->
% double_divide(A,inverse(b)) collapsed.
% Rule
% [408]
% double_divide(A,double_divide(inverse(B),inverse(double_divide(A,double_divide(
% inverse(b),b)))))
% -> inverse(B) collapsed.
% Rule
% [413]
% double_divide(A,double_divide(inverse(double_divide(inverse(b),B)),inverse(
% double_divide(A,
% inverse(B)))))
% -> inverse(b) collapsed.
% Rule
% [418]
% double_divide(A,double_divide(inverse(B),inverse(C))) <->
% inverse(double_divide(inverse(B),double_divide(A,C))) collapsed.
% Rule
% [419]
% double_divide(inverse(B),inverse(double_divide(A,C))) <->
% double_divide(A,inverse(double_divide(inverse(B),C))) collapsed.
% Rule
% [420]
% double_divide(b,inverse(double_divide(inverse(B),double_divide(inverse(A),
% inverse(B))))) ->
% double_divide(b,A) collapsed.
% Rule
% [421]
% double_divide(A,double_divide(inverse(b),inverse(double_divide(A,double_divide(b,B)))))
% <-> double_divide(b,double_divide(inverse(B),inverse(b))) collapsed.
% Rule
% [422]
% double_divide(b,double_divide(inverse(B),inverse(b))) <->
% double_divide(A,double_divide(inverse(b),inverse(double_divide(A,double_divide(b,B)))))
% collapsed.
% Rule
% [424]
% double_divide(A,double_divide(B,inverse(double_divide(inverse(b),inverse(C)))))
% <->
% inverse(double_divide(inverse(C),double_divide(A,double_divide(B,inverse(b)))))
% collapsed.
% Rule
% [427]
% double_divide(A,double_divide(inverse(b),inverse(double_divide(A,double_divide(B,
% inverse(b))))))
% <-> double_divide(B,double_divide(inverse(b),b)) collapsed.
% Rule
% [435]
% double_divide(inverse(b),double_divide(inverse(A),inverse(b))) -> inverse(A)
% collapsed.
% Rule
% [438]
% double_divide(inverse(B),inverse(A)) <-> double_divide(inverse(A),inverse(B))
% collapsed.
% Rule
% [441]
% double_divide(inverse(A),inverse(double_divide(double_divide(inverse(B),B),b)))
% -> double_divide(inverse(A),b) collapsed.
% Rule
% [442]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(inverse(B),
% inverse(double_divide(A,B))))))
% -> b collapsed.
% Rule
% [444]
% double_divide(inverse(double_divide(b,double_divide(B,inverse(b)))),inverse(A))
% <->
% double_divide(b,inverse(double_divide(inverse(A),double_divide(B,inverse(b)))))
% collapsed.
% Rule
% [451]
% double_divide(inverse(A),double_divide(B,double_divide(inverse(b),inverse(
% double_divide(B,A)))))
% -> b collapsed.
% Rule
% [454]
% double_divide(inverse(b),inverse(double_divide(inverse(A),double_divide(B,
% inverse(b))))) <->
% double_divide(inverse(A),double_divide(B,double_divide(inverse(C),C)))
% collapsed.
% Rule
% [456]
% double_divide(inverse(C),inverse(double_divide(A,double_divide(inverse(b),
% inverse(B))))) <->
% double_divide(inverse(double_divide(A,B)),inverse(double_divide(inverse(C),b)))
% collapsed.
% Rule
% [457]
% double_divide(inverse(double_divide(A,B)),inverse(double_divide(inverse(C),b)))
% <->
% double_divide(inverse(C),inverse(double_divide(A,double_divide(inverse(b),
% inverse(B))))) collapsed.
% Rule
% [461]
% double_divide(inverse(b),inverse(double_divide(inverse(double_divide(A,
% double_divide(
% inverse(C),C))),B)))
% -> double_divide(inverse(b),inverse(double_divide(A,B))) collapsed.
% Rule
% [464]
% double_divide(A,inverse(double_divide(b,double_divide(inverse(B),inverse(
% double_divide(A,B))))))
% -> inverse(b) collapsed.
% Rule
% [477]
% double_divide(inverse(b),inverse(double_divide(A,B))) <->
% double_divide(A,double_divide(inverse(B),b)) collapsed.
% Rule
% [478]
% double_divide(inverse(b),inverse(double_divide(A,double_divide(B,double_divide(
% inverse(b),b)))))
% -> double_divide(A,double_divide(B,b)) collapsed.
% Rule
% [480]
% double_divide(inverse(A),double_divide(B,double_divide(inverse(b),inverse(C))))
% <->
% double_divide(inverse(b),inverse(double_divide(inverse(A),double_divide(B,C))))
% collapsed.
% Rule
% [481]
% double_divide(inverse(b),inverse(double_divide(inverse(A),double_divide(B,C))))
% <->
% double_divide(inverse(A),double_divide(B,double_divide(inverse(b),inverse(C))))
% collapsed.
% Current number of equations to process: 1256
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [489] inverse(double_divide(B,A)) <-> inverse(double_divide(A,B))
% Rule
% [129]
% double_divide(b,inverse(double_divide(inverse(A),b))) <->
% inverse(double_divide(double_divide(b,b),A)) collapsed.
% Rule
% [395]
% inverse(double_divide(inverse(A),b)) <->
% double_divide(b,inverse(double_divide(double_divide(b,b),A))) collapsed.
% Rule
% [429] inverse(double_divide(inverse(A),b)) <-> double_divide(inverse(b),A)
% collapsed.
% Rule
% [462]
% double_divide(b,double_divide(A,inverse(double_divide(inverse(B),b)))) ->
% inverse(double_divide(A,inverse(B))) collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% Trivial
% 
% Current number of equations to process: 1259
% Current number of ordered equations: 0
% Current number of rules: 91
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
% 
% The following 19 rules have been used:
% [1] 
% multiply(A,B) -> inverse(double_divide(B,A)); trace = in the starting set
% [2] double_divide(inverse(double_divide(A,inverse(double_divide(inverse(B),
% double_divide(A,C))))),C)
% -> B; trace = in the starting set
% [3] double_divide(V_3,inverse(double_divide(inverse(B),double_divide(V_3,
% double_divide(A,C)))))
% <->
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,
% double_divide(A,C))))); trace = Self cp of 2
% [5] double_divide(b,inverse(double_divide(inverse(double_divide(inverse(B),
% double_divide(A,C))),
% double_divide(b,double_divide(A,C))))) -> B; trace = in the starting set
% [6] double_divide(b,inverse(double_divide(inverse(double_divide(inverse(A),B)),
% double_divide(b,B)))) -> A; trace = Self cp of 5
% [7] double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))
% <->
% double_divide(b,inverse(double_divide(inverse(B),double_divide(b,C)))); trace = Cp of 6 and 3
% [9] double_divide(V_3,inverse(double_divide(inverse(double_divide(inverse(
% double_divide(
% inverse(B),
% double_divide(A,C))),
% double_divide(b,double_divide(A,
% inverse(
% double_divide(
% inverse(V_3),B)))))),
% double_divide(V_3,double_divide(b,C))))) -> V_3; trace = Self cp of 2
% [10] double_divide(inverse(A),double_divide(B,double_divide(B,inverse(
% double_divide(
% inverse(b),A)))))
% -> b; trace = Cp of 9 and 6
% [11] double_divide(inverse(double_divide(A,B)),double_divide(A,double_divide(b,
% inverse(
% double_divide(
% inverse(b),
% double_divide(b,B))))))
% -> b; trace = Cp of 10 and 7
% [14] double_divide(b,inverse(double_divide(inverse(b),double_divide(b,
% double_divide(A,
% double_divide(A,
% inverse(double_divide(
% inverse(b),B))))))))
% -> B; trace = Cp of 10 and 6
% [15] double_divide(inverse(b),double_divide(inverse(A),A)) -> b; trace = Cp of 11 and 10
% [19] double_divide(b,double_divide(B,double_divide(B,inverse(double_divide(
% inverse(b),A)))))
% <->
% double_divide(b,double_divide(b,double_divide(b,inverse(double_divide(
% inverse(b),A))))); trace = Self cp of 14
% [22] double_divide(inverse(double_divide(A,double_divide(B,double_divide(B,
% inverse(double_divide(
% inverse(b),C)))))),
% double_divide(A,C)) -> b; trace = Cp of 14 and 11
% [29] double_divide(inverse(B),B) <-> double_divide(inverse(b),b); trace = Cp of 15 and 14
% [38] double_divide(b,inverse(double_divide(inverse(b),double_divide(b,
% double_divide(A,B)))))
% <->
% double_divide(A,double_divide(C,double_divide(C,inverse(double_divide(
% inverse(b),B))))); trace = Cp of 22 and 6
% [59] double_divide(b,inverse(double_divide(inverse(B),double_divide(b,A))))
% <-> double_divide(inverse(A),inverse(B)); trace = Cp of 29 and 7
% [120] double_divide(b,inverse(double_divide(inverse(A),double_divide(
% inverse(B),inverse(C)))))
% <->
% double_divide(inverse(double_divide(b,double_divide(inverse(C),
% inverse(B)))),inverse(A)); trace = Self cp of 59
% [184] double_divide(B,inverse(double_divide(inverse(b),double_divide(B,
% inverse(double_divide(
% inverse(b),A))))))
% -> A; trace = Cp of 38 and 19
% [489] inverse(double_divide(B,A)) <-> inverse(double_divide(A,B)); trace = Cp of 184 and 120
% % SZS output end Refutation
% All conjectures have been proven
% 
% Execution time: 6.490000 sec
% res : bool = true
% time is now off
% 
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
% 
% EOF
%------------------------------------------------------------------------------