%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : GRP587-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n082.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32286.75MB
% OS       : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:23:32 EDT 2014

% Result   : Unsatisfiable 20.67s
% Output   : Refutation 20.67s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : GRP587-1 : TPTP v6.0.0. Released v2.6.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n082.star.cs.uiowa.edu
% % Model    : x86_64 x86_64
% % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory   : 32286.75MB
% % OS       : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Fri Jun  6 21:07:18 CDT 2014
% % CPUTime  : 20.67 
% Processing problem /tmp/CiME_34599_n082.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " c3,b3,a3 : constant;  multiply : 2;  inverse : 1;  double_divide : 2;";
% let X = vars "A B C";
% let Axioms = equations F X "
% double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B))) = C;
% multiply(A,B) = inverse(double_divide(B,A));
% ";
% 
% let s1 = status F "
% c3 lr_lex;
% b3 lr_lex;
% a3 lr_lex;
% multiply lr_lex;
% inverse lr_lex;
% double_divide lr_lex;
% ";
% 
% let p1 = precedence F "
% multiply > double_divide > inverse > a3 > b3 > c3";
% 
% let s2 = status F "
% c3 mul;
% b3 mul;
% a3 mul;
% multiply mul;
% inverse mul;
% double_divide mul;
% ";
% 
% let p2 = precedence F "
% multiply > double_divide > inverse > a3 = b3 = c3";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3));"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
% 
% let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% *)
% #time on;
% 
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 
% #time off;
% 
% 
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
% 
% F : signature = <signature>
% X : variable_set = <variable set>
% 
% Axioms : (F,X) equations = { double_divide(A,inverse(double_divide(inverse(
% double_divide(
% double_divide(A,B),
% inverse(C))),B)))
% = C,
% multiply(A,B) = inverse(double_divide(B,A)) }
% (2 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { multiply(multiply(a3,b3),c3) =
% multiply(a3,multiply(b3,c3)) }
% (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(c3,inverse(double_divide(b3,a3)))) = inverse(double_divide(
% inverse(
% double_divide(c3,b3)),a3))
% 
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 1
% New rule produced :
% [2]
% double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),
% inverse(C))),B))) -> C
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [3]
% double_divide(inverse(double_divide(double_divide(double_divide(A,C),V_3),
% inverse(B))),V_3) ->
% double_divide(A,inverse(double_divide(inverse(B),C)))
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced :
% [4]
% double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(
% inverse(C),B)))))
% -> C
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced :
% [5]
% double_divide(double_divide(double_divide(inverse(A),B),inverse(double_divide(
% inverse(C),B))),
% inverse(C)) -> A
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [6]
% double_divide(C,inverse(double_divide(inverse(B),V_3))) <->
% double_divide(inverse(double_divide(A,inverse(B))),inverse(double_divide(C,
% inverse(double_divide(
% inverse(A),V_3)))))
% Current number of equations to process: 19
% Current number of ordered equations: 1
% Current number of rules: 6
% New rule produced :
% [7]
% double_divide(inverse(double_divide(A,inverse(B))),inverse(double_divide(C,
% inverse(double_divide(
% inverse(A),V_3)))))
% <-> double_divide(C,inverse(double_divide(inverse(B),V_3)))
% Current number of equations to process: 19
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [8]
% double_divide(inverse(double_divide(A,inverse(B))),inverse(C)) <->
% double_divide(double_divide(inverse(A),V_3),inverse(double_divide(inverse(B),
% inverse(double_divide(
% inverse(C),V_3)))))
% Current number of equations to process: 60
% Current number of ordered equations: 1
% Current number of rules: 8
% New rule produced :
% [9]
% double_divide(double_divide(inverse(A),V_3),inverse(double_divide(inverse(B),
% inverse(double_divide(
% inverse(C),V_3)))))
% <-> double_divide(inverse(double_divide(A,inverse(B))),inverse(C))
% Current number of equations to process: 60
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [10] double_divide(inverse(double_divide(B,inverse(B))),inverse(A)) -> A
% Current number of equations to process: 91
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [11]
% double_divide(double_divide(inverse(A),B),inverse(C)) <->
% double_divide(inverse(double_divide(A,inverse(V_3))),inverse(double_divide(
% double_divide(
% inverse(V_3),B),
% inverse(C))))
% Current number of equations to process: 90
% Current number of ordered equations: 1
% Current number of rules: 11
% New rule produced :
% [12]
% double_divide(inverse(double_divide(A,inverse(V_3))),inverse(double_divide(
% double_divide(
% inverse(V_3),B),
% inverse(C))))
% <-> double_divide(double_divide(inverse(A),B),inverse(C))
% Current number of equations to process: 90
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [13]
% double_divide(inverse(inverse(double_divide(A,inverse(A)))),inverse(B)) -> B
% Current number of equations to process: 103
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [14] double_divide(inverse(double_divide(A,inverse(B))),inverse(A)) -> B
% Current number of equations to process: 103
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [15] double_divide(A,inverse(double_divide(inverse(B),inverse(A)))) -> B
% Current number of equations to process: 106
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [16] double_divide(A,inverse(A)) <-> double_divide(B,inverse(B))
% Current number of equations to process: 107
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [17]
% double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B) ->
% double_divide(inverse(C),inverse(A))
% Rule
% [2]
% double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),
% inverse(C))),B))) -> C
% collapsed.
% Rule
% [3]
% double_divide(inverse(double_divide(double_divide(double_divide(A,C),V_3),
% inverse(B))),V_3) ->
% double_divide(A,inverse(double_divide(inverse(B),C))) collapsed.
% Current number of equations to process: 107
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [18]
% double_divide(A,inverse(double_divide(inverse(B),C))) <->
% double_divide(inverse(B),inverse(double_divide(A,C)))
% Current number of equations to process: 106
% Current number of ordered equations: 1
% Current number of rules: 16
% New rule produced :
% [19]
% double_divide(inverse(B),inverse(double_divide(A,C))) <->
% double_divide(A,inverse(double_divide(inverse(B),C)))
% Current number of equations to process: 106
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [20]
% double_divide(inverse(A),inverse(double_divide(inverse(double_divide(A,
% inverse(B))),C))) ->
% double_divide(inverse(B),C)
% Current number of equations to process: 109
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [21]
% double_divide(double_divide(double_divide(inverse(A),inverse(B)),inverse(B)),
% inverse(double_divide(C,inverse(C)))) -> A
% Current number of equations to process: 112
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [22]
% double_divide(double_divide(inverse(A),B),inverse(double_divide(inverse(C),B)))
% <->
% double_divide(inverse(double_divide(A,inverse(double_divide(V_3,inverse(V_3))))),
% inverse(C))
% Rule
% [5]
% double_divide(double_divide(double_divide(inverse(A),B),inverse(double_divide(
% inverse(C),B))),
% inverse(C)) -> A collapsed.
% Current number of equations to process: 116
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [23]
% double_divide(inverse(double_divide(double_divide(A,inverse(double_divide(c3,
% inverse(c3)))),
% inverse(c3))),inverse(double_divide(double_divide(
% inverse(c3),
% inverse(C)),
% inverse(C)))) -> A
% Current number of equations to process: 115
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [24]
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(
% inverse(C),inverse(A))))))
% <->
% double_divide(inverse(double_divide(double_divide(V_3,inverse(V_3)),inverse(B))),
% inverse(C))
% Current number of equations to process: 118
% Current number of ordered equations: 3
% Current number of rules: 21
% New rule produced :
% [25]
% double_divide(inverse(double_divide(A,inverse(C))),inverse(double_divide(V_3,
% inverse(V_3))))
% <->
% double_divide(inverse(double_divide(A,inverse(double_divide(c3,inverse(c3))))),
% inverse(C))
% Current number of equations to process: 118
% Current number of ordered equations: 2
% Current number of rules: 22
% New rule produced :
% [26]
% double_divide(inverse(double_divide(double_divide(V_3,inverse(V_3)),inverse(B))),
% inverse(C)) <->
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(
% inverse(C),inverse(A))))))
% Current number of equations to process: 118
% Current number of ordered equations: 1
% Current number of rules: 23
% New rule produced :
% [27]
% double_divide(inverse(double_divide(A,inverse(double_divide(c3,inverse(c3))))),
% inverse(C)) <->
% double_divide(inverse(double_divide(A,inverse(C))),inverse(double_divide(V_3,
% inverse(V_3))))
% Current number of equations to process: 118
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [28]
% double_divide(inverse(V_3),inverse(double_divide(double_divide(inverse(V_3),B),C)))
% <->
% double_divide(inverse(A),inverse(double_divide(double_divide(inverse(A),B),C)))
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 25
% Rule [25]
% double_divide(inverse(double_divide(A,inverse(C))),inverse(double_divide(V_3,
% inverse(V_3))))
% <->
% double_divide(inverse(double_divide(A,inverse(double_divide(c3,inverse(c3))))),
% inverse(C)) is composed into [25]
% double_divide(inverse(double_divide(A,
% inverse(C))),
% inverse(double_divide(V_3,inverse(V_3))))
% <->
% double_divide(inverse(double_divide(A,
% double_divide(c3,
% inverse(c3)))),
% inverse(C))
% New rule produced :
% [29] inverse(double_divide(B,inverse(B))) <-> double_divide(A,inverse(A))
% Rule
% [13]
% double_divide(inverse(inverse(double_divide(A,inverse(A)))),inverse(B)) -> B
% collapsed.
% Rule
% [23]
% double_divide(inverse(double_divide(double_divide(A,inverse(double_divide(c3,
% inverse(c3)))),
% inverse(c3))),inverse(double_divide(double_divide(
% inverse(c3),
% inverse(C)),
% inverse(C)))) -> A collapsed.
% Rule
% [27]
% double_divide(inverse(double_divide(A,inverse(double_divide(c3,inverse(c3))))),
% inverse(C)) <->
% double_divide(inverse(double_divide(A,inverse(C))),inverse(double_divide(V_3,
% inverse(V_3))))
% collapsed.
% Current number of equations to process: 149
% Current number of ordered equations: 0
% Current number of rules: 23
% Rule [24]
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(
% inverse(C),
% inverse(A))))))
% <->
% double_divide(inverse(double_divide(double_divide(V_3,inverse(V_3)),
% inverse(B))),inverse(C)) is composed into 
% [24]
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(
% inverse(C),inverse(A))))))
% -> double_divide(inverse(B),inverse(C))
% New rule produced :
% [30] double_divide(double_divide(A,inverse(A)),inverse(B)) -> B
% Rule
% [26]
% double_divide(inverse(double_divide(double_divide(V_3,inverse(V_3)),inverse(B))),
% inverse(C)) <->
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(
% inverse(C),inverse(A))))))
% collapsed.
% Current number of equations to process: 148
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [31]
% double_divide(double_divide(inverse(A),inverse(inverse(B))),inverse(A)) -> B
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [32]
% double_divide(double_divide(A,inverse(B)),inverse(double_divide(A,inverse(C))))
% -> double_divide(B,inverse(C))
% Current number of equations to process: 149
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [33]
% double_divide(inverse(A),inverse(inverse(double_divide(B,inverse(B))))) -> A
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [34]
% double_divide(inverse(A),inverse(inverse(double_divide(B,inverse(A))))) -> B
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 27
% Rule [25]
% double_divide(inverse(double_divide(A,inverse(C))),inverse(double_divide(V_3,
% inverse(V_3))))
% <->
% double_divide(inverse(double_divide(A,double_divide(c3,inverse(c3)))),
% inverse(C)) is composed into [25]
% double_divide(inverse(double_divide(A,
% inverse(C))),
% inverse(double_divide(V_3,inverse(V_3))))
% -> double_divide(A,inverse(C))
% New rule produced :
% [35]
% double_divide(inverse(double_divide(A,double_divide(c3,inverse(c3)))),
% inverse(B)) -> double_divide(A,inverse(B))
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [36] double_divide(inverse(A),inverse(double_divide(B,inverse(B)))) -> A
% Rule
% [25]
% double_divide(inverse(double_divide(A,inverse(C))),inverse(double_divide(V_3,
% inverse(V_3)))) ->
% double_divide(A,inverse(C)) collapsed.
% Current number of equations to process: 180
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [37]
% double_divide(double_divide(double_divide(inverse(A),B),B),inverse(double_divide(C,
% inverse(C))))
% -> A
% Rule
% [21]
% double_divide(double_divide(double_divide(inverse(A),inverse(B)),inverse(B)),
% inverse(double_divide(C,inverse(C)))) -> A collapsed.
% Current number of equations to process: 189
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [38]
% double_divide(double_divide(inverse(A),inverse(inverse(B))),inverse(C)) ->
% double_divide(inverse(double_divide(A,inverse(B))),inverse(C))
% Rule
% [31]
% double_divide(double_divide(inverse(A),inverse(inverse(B))),inverse(A)) -> B
% collapsed.
% Current number of equations to process: 188
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [39]
% double_divide(inverse(double_divide(A,inverse(B))),inverse(C)) <->
% double_divide(inverse(double_divide(A,inverse(C))),inverse(B))
% Current number of equations to process: 187
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [40]
% double_divide(inverse(A),inverse(double_divide(inverse(B),inverse(inverse(C)))))
% <-> double_divide(inverse(double_divide(C,inverse(A))),inverse(B))
% Current number of equations to process: 185
% Current number of ordered equations: 1
% Current number of rules: 30
% New rule produced :
% [41]
% double_divide(inverse(double_divide(C,inverse(A))),inverse(B)) <->
% double_divide(inverse(A),inverse(double_divide(inverse(B),inverse(inverse(C)))))
% Rule [14] double_divide(inverse(double_divide(A,inverse(B))),inverse(A)) -> B
% collapsed.
% Current number of equations to process: 186
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [42] double_divide(inverse(B),double_divide(c3,inverse(c3))) -> B
% Current number of equations to process: 185
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [43]
% double_divide(double_divide(A,inverse(A)),B) <->
% double_divide(inverse(double_divide(C,B)),inverse(C))
% Current number of equations to process: 208
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced :
% [44]
% double_divide(inverse(double_divide(C,B)),inverse(C)) <->
% double_divide(double_divide(A,inverse(A)),B)
% Current number of equations to process: 208
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [45] double_divide(B,inverse(double_divide(inverse(B),inverse(A)))) -> A
% Current number of equations to process: 209
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [46]
% double_divide(A,inverse(double_divide(inverse(B),inverse(C)))) <->
% double_divide(double_divide(C,inverse(A)),inverse(B))
% Current number of equations to process: 208
% Current number of ordered equations: 1
% Current number of rules: 35
% New rule produced :
% [47]
% double_divide(double_divide(C,inverse(A)),inverse(B)) <->
% double_divide(A,inverse(double_divide(inverse(B),inverse(C))))
% Current number of equations to process: 208
% Current number of ordered equations: 0
% Current number of rules: 36
% Rule [40]
% double_divide(inverse(A),inverse(double_divide(inverse(B),inverse(
% inverse(C)))))
% <-> double_divide(inverse(double_divide(C,inverse(A))),inverse(B)) is composed into 
% [40]
% double_divide(inverse(A),inverse(double_divide(inverse(B),inverse(inverse(C)))))
% <-> double_divide(inverse(A),inverse(double_divide(C,inverse(B))))
% Rule [38]
% double_divide(double_divide(inverse(A),inverse(inverse(B))),inverse(C))
% -> double_divide(inverse(double_divide(A,inverse(B))),inverse(C)) is composed into 
% [38]
% double_divide(double_divide(inverse(A),inverse(inverse(B))),inverse(C)) ->
% double_divide(inverse(B),inverse(double_divide(A,inverse(C))))
% Rule [22]
% double_divide(double_divide(inverse(A),B),inverse(double_divide(
% inverse(C),B))) <->
% double_divide(inverse(double_divide(A,inverse(double_divide(V_3,
% inverse(V_3))))),inverse(C)) is composed into 
% [22]
% double_divide(double_divide(inverse(A),B),inverse(double_divide(inverse(C),B)))
% <->
% double_divide(inverse(V_3),inverse(double_divide(V_3,inverse(double_divide(A,
% inverse(C))))))
% Rule [11]
% double_divide(double_divide(inverse(A),B),inverse(C)) <->
% double_divide(inverse(double_divide(A,inverse(V_3))),inverse(double_divide(
% double_divide(
% inverse(V_3),B),
% inverse(C)))) is composed into 
% [11]
% double_divide(double_divide(inverse(A),B),inverse(C)) <->
% double_divide(inverse(V_3),inverse(double_divide(A,inverse(double_divide(
% double_divide(
% inverse(V_3),B),
% inverse(C))))))
% Rule [9]
% double_divide(double_divide(inverse(A),V_3),inverse(double_divide(
% inverse(B),inverse(
% double_divide(
% inverse(C),V_3)))))
% <-> double_divide(inverse(double_divide(A,inverse(B))),inverse(C)) is composed into 
% [9]
% double_divide(double_divide(inverse(A),V_3),inverse(double_divide(inverse(B),
% inverse(double_divide(
% inverse(C),V_3)))))
% <-> double_divide(inverse(B),inverse(double_divide(A,inverse(C))))
% Rule [6]
% double_divide(C,inverse(double_divide(inverse(B),V_3))) <->
% double_divide(inverse(double_divide(A,inverse(B))),inverse(double_divide(C,
% inverse(
% double_divide(
% inverse(A),V_3))))) is composed into 
% [6]
% double_divide(C,inverse(double_divide(inverse(B),V_3))) <->
% double_divide(inverse(B),inverse(double_divide(A,inverse(double_divide(C,
% inverse(double_divide(
% inverse(A),V_3)))))))
% New rule produced :
% [48]
% double_divide(inverse(double_divide(A,inverse(B))),inverse(C)) ->
% double_divide(inverse(B),inverse(double_divide(A,inverse(C))))
% Rule
% [7]
% double_divide(inverse(double_divide(A,inverse(B))),inverse(double_divide(C,
% inverse(double_divide(
% inverse(A),V_3)))))
% <-> double_divide(C,inverse(double_divide(inverse(B),V_3))) collapsed.
% Rule
% [8]
% double_divide(inverse(double_divide(A,inverse(B))),inverse(C)) <->
% double_divide(double_divide(inverse(A),V_3),inverse(double_divide(inverse(B),
% inverse(double_divide(
% inverse(C),V_3)))))
% collapsed.
% Rule [10] double_divide(inverse(double_divide(B,inverse(B))),inverse(A)) -> A
% collapsed.
% Rule
% [12]
% double_divide(inverse(double_divide(A,inverse(V_3))),inverse(double_divide(
% double_divide(
% inverse(V_3),B),
% inverse(C))))
% <-> double_divide(double_divide(inverse(A),B),inverse(C)) collapsed.
% Rule
% [39]
% double_divide(inverse(double_divide(A,inverse(B))),inverse(C)) <->
% double_divide(inverse(double_divide(A,inverse(C))),inverse(B)) collapsed.
% Rule
% [41]
% double_divide(inverse(double_divide(C,inverse(A))),inverse(B)) <->
% double_divide(inverse(A),inverse(double_divide(inverse(B),inverse(inverse(C)))))
% collapsed.
% Current number of equations to process: 225
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [49]
% double_divide(inverse(C),inverse(double_divide(A,inverse(B)))) <->
% double_divide(inverse(B),inverse(double_divide(A,inverse(C))))
% Current number of equations to process: 224
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [50]
% double_divide(inverse(A),inverse(double_divide(inverse(double_divide(C,
% inverse(C))),B))) ->
% double_divide(inverse(A),B)
% Current number of equations to process: 223
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [51]
% double_divide(A,inverse(A)) <->
% double_divide(inverse(B),inverse(double_divide(double_divide(inverse(B),C),C)))
% Current number of equations to process: 234
% Current number of ordered equations: 1
% Current number of rules: 34
% Rule [51]
% double_divide(A,inverse(A)) <->
% double_divide(inverse(B),inverse(double_divide(double_divide(inverse(B),C),C))) is composed into 
% [51] double_divide(A,inverse(A)) <-> double_divide(c3,inverse(c3))
% New rule produced :
% [52]
% double_divide(inverse(B),inverse(double_divide(double_divide(inverse(B),C),C)))
% <-> double_divide(A,inverse(A))
% Current number of equations to process: 234
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [53]
% double_divide(A,inverse(double_divide(B,inverse(B)))) <->
% double_divide(inverse(C),inverse(double_divide(A,inverse(inverse(C)))))
% Rule
% [37]
% double_divide(double_divide(double_divide(inverse(A),B),B),inverse(double_divide(C,
% inverse(C))))
% -> A collapsed.
% Current number of equations to process: 234
% Current number of ordered equations: 1
% Current number of rules: 35
% New rule produced :
% [54]
% double_divide(inverse(C),inverse(double_divide(A,inverse(inverse(C))))) <->
% double_divide(A,inverse(double_divide(B,inverse(B))))
% Current number of equations to process: 234
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [55]
% double_divide(inverse(A),inverse(double_divide(double_divide(inverse(
% double_divide(B,
% inverse(A))),C),C)))
% -> B
% Current number of equations to process: 250
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [56]
% double_divide(inverse(inverse(c3)),inverse(double_divide(double_divide(
% double_divide(
% inverse(A),B),B),
% inverse(c3)))) -> A
% Current number of equations to process: 249
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [57]
% double_divide(inverse(C),inverse(double_divide(inverse(double_divide(C,B)),
% inverse(inverse(inverse(A)))))) <->
% double_divide(inverse(A),B)
% Current number of equations to process: 248
% Current number of ordered equations: 1
% Current number of rules: 39
% New rule produced :
% [58]
% double_divide(inverse(A),B) <->
% double_divide(inverse(C),inverse(double_divide(inverse(double_divide(C,B)),
% inverse(inverse(inverse(A))))))
% Rule
% [17]
% double_divide(inverse(double_divide(double_divide(A,B),inverse(C))),B) ->
% double_divide(inverse(C),inverse(A)) collapsed.
% Current number of equations to process: 249
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [59]
% double_divide(inverse(C),inverse(double_divide(A,inverse(double_divide(
% inverse(B),inverse(
% inverse(C)))))))
% -> double_divide(A,inverse(B))
% Current number of equations to process: 248
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [60]
% double_divide(A,inverse(double_divide(B,inverse(double_divide(inverse(C),V_3)))))
% <->
% double_divide(inverse(C),inverse(double_divide(A,inverse(double_divide(B,V_3)))))
% Current number of equations to process: 247
% Current number of ordered equations: 1
% Current number of rules: 41
% New rule produced :
% [61]
% double_divide(inverse(C),inverse(double_divide(A,inverse(double_divide(B,V_3)))))
% <->
% double_divide(A,inverse(double_divide(B,inverse(double_divide(inverse(C),V_3)))))
% Current number of equations to process: 247
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [62]
% double_divide(inverse(double_divide(A,inverse(double_divide(inverse(C),B)))),V_3)
% ->
% double_divide(inverse(double_divide(A,B)),inverse(double_divide(inverse(C),V_3)))
% Current number of equations to process: 246
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [63]
% double_divide(inverse(C),inverse(double_divide(A,inverse(double_divide(C,
% inverse(B)))))) ->
% double_divide(A,inverse(B))
% Current number of equations to process: 253
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [64]
% double_divide(inverse(double_divide(inverse(B),inverse(A))),C) ->
% double_divide(inverse(A),inverse(double_divide(inverse(B),C)))
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [65]
% double_divide(inverse(A),inverse(double_divide(B,inverse(double_divide(
% inverse(B),C))))) ->
% double_divide(inverse(A),C)
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [66]
% double_divide(double_divide(double_divide(inverse(A),B),B),inverse(double_divide(A,
% inverse(C))))
% -> C
% Current number of equations to process: 264
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [67]
% double_divide(inverse(C),inverse(double_divide(inverse(B),inverse(inverse(
% double_divide(A,
% inverse(C)))))))
% <-> double_divide(inverse(A),inverse(B))
% Current number of equations to process: 262
% Current number of ordered equations: 1
% Current number of rules: 48
% Rule [43]
% double_divide(double_divide(A,inverse(A)),B) <->
% double_divide(inverse(double_divide(C,B)),inverse(C)) is composed into 
% [43]
% double_divide(double_divide(A,inverse(A)),B) <->
% double_divide(inverse(C),inverse(double_divide(inverse(C),inverse(inverse(
% double_divide(
% double_divide(C,B),
% inverse(C)))))))
% New rule produced :
% [68]
% double_divide(inverse(A),inverse(B)) <->
% double_divide(inverse(C),inverse(double_divide(inverse(B),inverse(inverse(
% double_divide(A,
% inverse(C)))))))
% Rule
% [44]
% double_divide(inverse(double_divide(C,B)),inverse(C)) <->
% double_divide(double_divide(A,inverse(A)),B) collapsed.
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [69]
% double_divide(A,inverse(C)) <->
% double_divide(inverse(C),inverse(double_divide(A,inverse(double_divide(V_3,
% inverse(V_3))))))
% Current number of equations to process: 262
% Current number of ordered equations: 1
% Current number of rules: 49
% New rule produced :
% [70]
% double_divide(inverse(C),inverse(double_divide(A,inverse(double_divide(V_3,
% inverse(V_3))))))
% <-> double_divide(A,inverse(C))
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [71]
% double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(
% inverse(C),
% inverse(V_3))))))
% <-> double_divide(double_divide(V_3,B),inverse(C))
% Current number of equations to process: 261
% Current number of ordered equations: 1
% Current number of rules: 51
% New rule produced :
% [72]
% double_divide(double_divide(V_3,B),inverse(C)) <->
% double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(
% inverse(C),
% inverse(V_3))))))
% Rule
% [56]
% double_divide(inverse(inverse(c3)),inverse(double_divide(double_divide(
% double_divide(
% inverse(A),B),B),
% inverse(c3)))) -> A collapsed.
% Current number of equations to process: 261
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [73]
% double_divide(A,inverse(double_divide(inverse(B),inverse(C)))) <->
% double_divide(inverse(B),inverse(double_divide(double_divide(C,V_3),inverse(
% double_divide(A,V_3)))))
% Current number of equations to process: 259
% Current number of ordered equations: 3
% Current number of rules: 52
% New rule produced :
% [74]
% double_divide(inverse(B),inverse(double_divide(double_divide(C,V_3),inverse(
% double_divide(A,V_3)))))
% <-> double_divide(A,inverse(double_divide(inverse(B),inverse(C))))
% Current number of equations to process: 259
% Current number of ordered equations: 2
% Current number of rules: 53
% New rule produced :
% [75]
% double_divide(inverse(double_divide(inverse(A),V_3)),inverse(B)) <->
% double_divide(inverse(double_divide(double_divide(B,C),V_3)),inverse(
% double_divide(
% inverse(A),C)))
% Current number of equations to process: 259
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [76]
% double_divide(inverse(double_divide(double_divide(B,C),V_3)),inverse(
% double_divide(
% inverse(A),C)))
% <-> double_divide(inverse(double_divide(inverse(A),V_3)),inverse(B))
% Current number of equations to process: 259
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [77]
% double_divide(C,inverse(double_divide(inverse(A),inverse(double_divide(
% inverse(B),V_3)))))
% <->
% double_divide(inverse(A),inverse(double_divide(inverse(B),inverse(double_divide(C,V_3)))))
% Current number of equations to process: 255
% Current number of ordered equations: 1
% Current number of rules: 56
% New rule produced :
% [78]
% double_divide(inverse(A),inverse(double_divide(inverse(B),inverse(double_divide(C,V_3)))))
% <->
% double_divide(C,inverse(double_divide(inverse(A),inverse(double_divide(
% inverse(B),V_3)))))
% Current number of equations to process: 255
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [79]
% double_divide(C,inverse(A)) <->
% double_divide(inverse(A),inverse(double_divide(B,inverse(double_divide(C,
% inverse(B))))))
% Current number of equations to process: 256
% Current number of ordered equations: 1
% Current number of rules: 58
% New rule produced :
% [80]
% double_divide(inverse(A),inverse(double_divide(B,inverse(double_divide(C,
% inverse(B)))))) <->
% double_divide(C,inverse(A))
% Current number of equations to process: 256
% Current number of ordered equations: 0
% Current number of rules: 59
% Rule [43]
% double_divide(double_divide(A,inverse(A)),B) <->
% double_divide(inverse(C),inverse(double_divide(inverse(C),inverse(
% inverse(
% double_divide(
% double_divide(C,B),
% inverse(C))))))) is composed into 
% [43]
% double_divide(double_divide(A,inverse(A)),B) <->
% double_divide(inverse(C),inverse(double_divide(inverse(C),inverse(inverse(
% double_divide(
% inverse(C),
% inverse(
% inverse(
% double_divide(C,B)))))))))
% New rule produced :
% [81]
% double_divide(B,inverse(A)) <-> double_divide(inverse(A),inverse(inverse(B)))
% Current number of equations to process: 257
% Current number of ordered equations: 1
% Current number of rules: 60
% New rule produced :
% [82]
% double_divide(inverse(A),inverse(inverse(B))) <-> double_divide(B,inverse(A))
% Rule
% [40]
% double_divide(inverse(A),inverse(double_divide(inverse(B),inverse(inverse(C)))))
% <-> double_divide(inverse(A),inverse(double_divide(C,inverse(B)))) collapsed.
% Current number of equations to process: 257
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [83]
% double_divide(B,inverse(A)) <->
% double_divide(inverse(A),inverse(double_divide(double_divide(inverse(B),C),C)))
% Current number of equations to process: 259
% Current number of ordered equations: 1
% Current number of rules: 61
% New rule produced :
% [84]
% double_divide(inverse(A),inverse(double_divide(double_divide(inverse(B),C),C)))
% <-> double_divide(B,inverse(A))
% Rule
% [52]
% double_divide(inverse(B),inverse(double_divide(double_divide(inverse(B),C),C)))
% <-> double_divide(A,inverse(A)) collapsed.
% Rule
% [55]
% double_divide(inverse(A),inverse(double_divide(double_divide(inverse(
% double_divide(B,
% inverse(A))),C),C)))
% -> B collapsed.
% Current number of equations to process: 259
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [85]
% double_divide(C,inverse(B)) <->
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(
% inverse(A),inverse(
% inverse(C)))))))
% Current number of equations to process: 263
% Current number of ordered equations: 1
% Current number of rules: 61
% New rule produced :
% [86]
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(
% inverse(A),inverse(
% inverse(C)))))))
% <-> double_divide(C,inverse(B))
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [87]
% double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),V_3)
% ->
% double_divide(inverse(inverse(A)),inverse(double_divide(inverse(double_divide(
% inverse(B),C)),V_3)))
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [88]
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(
% inverse(C),inverse(V_3))))))
% <->
% double_divide(inverse(B),inverse(double_divide(double_divide(V_3,inverse(A)),
% inverse(C))))
% Current number of equations to process: 261
% Current number of ordered equations: 5
% Current number of rules: 64
% New rule produced :
% [89]
% double_divide(inverse(C),inverse(double_divide(A,inverse(double_divide(B,
% inverse(V_3))))))
% <->
% double_divide(double_divide(inverse(A),inverse(B)),inverse(double_divide(
% inverse(C),
% inverse(V_3))))
% Current number of equations to process: 261
% Current number of ordered equations: 4
% Current number of rules: 65
% New rule produced :
% [90]
% double_divide(inverse(C),inverse(double_divide(double_divide(inverse(V_3),B),
% inverse(double_divide(A,inverse(V_3))))))
% <-> double_divide(double_divide(inverse(A),B),inverse(C))
% Current number of equations to process: 261
% Current number of ordered equations: 3
% Current number of rules: 66
% New rule produced :
% [91]
% double_divide(inverse(B),inverse(double_divide(double_divide(V_3,inverse(A)),
% inverse(C)))) <->
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(
% inverse(C),inverse(V_3))))))
% Current number of equations to process: 261
% Current number of ordered equations: 2
% Current number of rules: 67
% New rule produced :
% [92]
% double_divide(double_divide(inverse(A),B),inverse(C)) <->
% double_divide(inverse(C),inverse(double_divide(double_divide(inverse(V_3),B),
% inverse(double_divide(A,inverse(V_3))))))
% Current number of equations to process: 261
% Current number of ordered equations: 1
% Current number of rules: 68
% New rule produced :
% [93]
% double_divide(double_divide(inverse(A),inverse(B)),inverse(double_divide(
% inverse(C),
% inverse(V_3))))
% <->
% double_divide(inverse(C),inverse(double_divide(A,inverse(double_divide(B,
% inverse(V_3))))))
% Current number of equations to process: 261
% Current number of ordered equations: 0
% Current number of rules: 69
% Rule [6]
% double_divide(C,inverse(double_divide(inverse(B),V_3))) <->
% double_divide(inverse(B),inverse(double_divide(A,inverse(double_divide(C,
% inverse(
% double_divide(
% inverse(A),V_3))))))) is composed into 
% [6]
% double_divide(C,inverse(double_divide(inverse(B),V_3))) <->
% double_divide(inverse(B),inverse(double_divide(C,V_3)))
% New rule produced :
% [94]
% double_divide(inverse(B),inverse(double_divide(A,inverse(double_divide(C,
% inverse(double_divide(
% inverse(A),V_3)))))))
% -> double_divide(inverse(B),inverse(double_divide(C,V_3)))
% Current number of equations to process: 260
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [95]
% double_divide(inverse(A),inverse(B)) <->
% double_divide(inverse(double_divide(C,V_3)),inverse(inverse(inverse(double_divide(
% double_divide(B,
% inverse(
% double_divide(C,V_3))),
% inverse(A))))))
% Current number of equations to process: 258
% Current number of ordered equations: 1
% Current number of rules: 71
% New rule produced :
% [96]
% double_divide(inverse(double_divide(C,V_3)),inverse(inverse(inverse(double_divide(
% double_divide(B,
% inverse(
% double_divide(C,V_3))),
% inverse(A))))))
% <-> double_divide(inverse(A),inverse(B))
% Current number of equations to process: 258
% Current number of ordered equations: 0
% Current number of rules: 72
% Rule [76]
% double_divide(inverse(double_divide(double_divide(B,C),V_3)),inverse(
% double_divide(
% inverse(A),C)))
% <-> double_divide(inverse(double_divide(inverse(A),V_3)),inverse(B)) is composed into 
% [76]
% double_divide(inverse(double_divide(double_divide(B,C),V_3)),inverse(
% double_divide(
% inverse(A),C)))
% <->
% double_divide(inverse(A),inverse(double_divide(inverse(double_divide(A,V_3)),
% inverse(double_divide(inverse(A),inverse(B))))))
% New rule produced :
% [97]
% double_divide(inverse(double_divide(inverse(B),C)),V_3) <->
% double_divide(inverse(A),inverse(double_divide(inverse(double_divide(A,C)),
% inverse(double_divide(inverse(B),V_3)))))
% Rule
% [64]
% double_divide(inverse(double_divide(inverse(B),inverse(A))),C) ->
% double_divide(inverse(A),inverse(double_divide(inverse(B),C))) collapsed.
% Rule
% [75]
% double_divide(inverse(double_divide(inverse(A),V_3)),inverse(B)) <->
% double_divide(inverse(double_divide(double_divide(B,C),V_3)),inverse(
% double_divide(
% inverse(A),C)))
% collapsed.
% Rule
% [87]
% double_divide(inverse(double_divide(inverse(double_divide(A,inverse(B))),C)),V_3)
% ->
% double_divide(inverse(inverse(A)),inverse(double_divide(inverse(double_divide(
% inverse(B),C)),V_3)))
% collapsed.
% Current number of equations to process: 259
% Current number of ordered equations: 1
% Current number of rules: 70
% New rule produced :
% [98]
% double_divide(inverse(V_3),inverse(double_divide(A,inverse(double_divide(
% inverse(double_divide(V_3,
% inverse(B))),C)))))
% -> double_divide(A,inverse(double_divide(inverse(B),C)))
% Current number of equations to process: 258
% Current number of ordered equations: 2
% Current number of rules: 71
% New rule produced :
% [99]
% double_divide(inverse(A),inverse(double_divide(inverse(double_divide(A,C)),
% inverse(double_divide(inverse(B),V_3)))))
% <->
% double_divide(inverse(c3),inverse(double_divide(inverse(double_divide(c3,C)),
% inverse(double_divide(inverse(B),V_3)))))
% Current number of equations to process: 258
% Current number of ordered equations: 1
% Current number of rules: 72
% New rule produced :
% [100]
% double_divide(inverse(c3),inverse(double_divide(inverse(double_divide(c3,C)),
% inverse(double_divide(inverse(B),V_3)))))
% <->
% double_divide(inverse(A),inverse(double_divide(inverse(double_divide(A,C)),
% inverse(double_divide(inverse(B),V_3)))))
% Current number of equations to process: 258
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [101]
% double_divide(inverse(B),inverse(A)) <-> double_divide(inverse(A),inverse(B))
% Current number of equations to process: 261
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [102]
% double_divide(inverse(C),inverse(B)) <->
% double_divide(inverse(A),inverse(double_divide(double_divide(B,inverse(A)),
% inverse(C))))
% Current number of equations to process: 266
% Current number of ordered equations: 1
% Current number of rules: 75
% New rule produced :
% [103]
% double_divide(inverse(A),inverse(double_divide(double_divide(B,inverse(A)),
% inverse(C)))) <->
% double_divide(inverse(C),inverse(B))
% Current number of equations to process: 266
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [104] double_divide(inverse(A),double_divide(B,inverse(B))) -> A
% Rule [42] double_divide(inverse(B),double_divide(c3,inverse(c3))) -> B
% collapsed.
% Current number of equations to process: 302
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [105]
% double_divide(A,inverse(double_divide(inverse(double_divide(C,inverse(C))),B)))
% -> double_divide(A,B)
% Rule
% [50]
% double_divide(inverse(A),inverse(double_divide(inverse(double_divide(C,
% inverse(C))),B))) ->
% double_divide(inverse(A),B) collapsed.
% Current number of equations to process: 306
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [106]
% double_divide(inverse(V_3),inverse(double_divide(double_divide(inverse(V_3),B),C)))
% <->
% double_divide(double_divide(inverse(c3),inverse(double_divide(inverse(c3),
% inverse(inverse(double_divide(
% inverse(c3),
% inverse(
% inverse(
% double_divide(c3,B))))))))),C)
% Current number of equations to process: 310
% Current number of ordered equations: 1
% Current number of rules: 77
% Rule [106]
% double_divide(inverse(V_3),inverse(double_divide(double_divide(inverse(V_3),B),C)))
% <->
% double_divide(double_divide(inverse(c3),inverse(double_divide(inverse(c3),
% inverse(inverse(
% double_divide(
% inverse(c3),
% inverse(
% inverse(
% double_divide(c3,B))))))))),C) is composed into 
% [106]
% double_divide(inverse(V_3),inverse(double_divide(double_divide(inverse(V_3),B),C)))
% <->
% double_divide(inverse(c3),inverse(double_divide(double_divide(inverse(c3),B),C)))
% New rule produced :
% [107]
% double_divide(double_divide(inverse(c3),inverse(double_divide(inverse(c3),
% inverse(inverse(double_divide(
% inverse(c3),
% inverse(
% inverse(
% double_divide(c3,B))))))))),C)
% <->
% double_divide(inverse(V_3),inverse(double_divide(double_divide(inverse(V_3),B),C)))
% Current number of equations to process: 310
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [108]
% double_divide(C,inverse(double_divide(A,inverse(double_divide(inverse(V_3),B)))))
% <-> double_divide(double_divide(double_divide(A,B),inverse(C)),inverse(V_3))
% Current number of equations to process: 308
% Current number of ordered equations: 2
% Current number of rules: 79
% New rule produced :
% [109]
% double_divide(double_divide(double_divide(A,B),inverse(C)),inverse(V_3)) <->
% double_divide(C,inverse(double_divide(A,inverse(double_divide(inverse(V_3),B)))))
% Current number of equations to process: 308
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [110]
% double_divide(double_divide(B,inverse(double_divide(inverse(A),C))),inverse(V_3))
% -> double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3))))
% Current number of equations to process: 308
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [111]
% double_divide(inverse(A),inverse(double_divide(double_divide(inverse(A),
% inverse(B)),inverse(C)))) ->
% double_divide(B,inverse(C))
% Current number of equations to process: 310
% Current number of ordered equations: 0
% Current number of rules: 82
% Rule [69]
% double_divide(A,inverse(C)) <->
% double_divide(inverse(C),inverse(double_divide(A,inverse(double_divide(V_3,
% inverse(V_3)))))) is composed into 
% [69]
% double_divide(A,inverse(C)) <->
% double_divide(inverse(C),inverse(double_divide(A,double_divide(V_3,inverse(V_3)))))
% Rule [54]
% double_divide(inverse(C),inverse(double_divide(A,inverse(inverse(C)))))
% <-> double_divide(A,inverse(double_divide(B,inverse(B)))) is composed into 
% [54]
% double_divide(inverse(C),inverse(double_divide(A,inverse(inverse(C))))) <->
% double_divide(A,double_divide(B,inverse(B)))
% New rule produced :
% [112] inverse(double_divide(A,inverse(B))) <-> double_divide(B,inverse(A))
% Rule
% [29] inverse(double_divide(B,inverse(B))) <-> double_divide(A,inverse(A))
% collapsed.
% Rule
% [33]
% double_divide(inverse(A),inverse(inverse(double_divide(B,inverse(B))))) -> A
% collapsed.
% Rule [36] double_divide(inverse(A),inverse(double_divide(B,inverse(B)))) -> A
% collapsed.
% Rule
% [53]
% double_divide(A,inverse(double_divide(B,inverse(B)))) <->
% double_divide(inverse(C),inverse(double_divide(A,inverse(inverse(C)))))
% collapsed.
% Rule
% [70]
% double_divide(inverse(C),inverse(double_divide(A,inverse(double_divide(V_3,
% inverse(V_3))))))
% <-> double_divide(A,inverse(C)) collapsed.
% Rule
% [105]
% double_divide(A,inverse(double_divide(inverse(double_divide(C,inverse(C))),B)))
% -> double_divide(A,B) collapsed.
% Current number of equations to process: 318
% Current number of ordered equations: 1
% Current number of rules: 77
% New rule produced :
% [113] double_divide(B,inverse(A)) <-> inverse(double_divide(A,inverse(B)))
% Current number of equations to process: 318
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [114]
% double_divide(A,inverse(double_divide(inverse(C),inverse(double_divide(
% inverse(C),inverse(
% inverse(
% double_divide(
% inverse(C),
% inverse(
% inverse(
% double_divide(C,B)))))))))))
% -> double_divide(A,B)
% Current number of equations to process: 317
% Current number of ordered equations: 0
% Current number of rules: 79
% Rule [89]
% double_divide(inverse(C),inverse(double_divide(A,inverse(double_divide(B,
% inverse(V_3))))))
% <->
% double_divide(double_divide(inverse(A),inverse(B)),inverse(double_divide(
% inverse(C),
% inverse(V_3)))) is composed into 
% [89]
% double_divide(inverse(C),inverse(double_divide(A,inverse(double_divide(B,
% inverse(V_3))))))
% <->
% double_divide(A,inverse(double_divide(B,inverse(double_divide(inverse(C),
% inverse(V_3))))))
% New rule produced :
% [115]
% double_divide(double_divide(inverse(A),inverse(B)),inverse(C)) ->
% double_divide(A,inverse(double_divide(B,inverse(C))))
% Rule
% [38]
% double_divide(double_divide(inverse(A),inverse(inverse(B))),inverse(C)) ->
% double_divide(inverse(B),inverse(double_divide(A,inverse(C)))) collapsed.
% Rule
% [93]
% double_divide(double_divide(inverse(A),inverse(B)),inverse(double_divide(
% inverse(C),
% inverse(V_3))))
% <->
% double_divide(inverse(C),inverse(double_divide(A,inverse(double_divide(B,
% inverse(V_3))))))
% collapsed.
% Rule
% [111]
% double_divide(inverse(A),inverse(double_divide(double_divide(inverse(A),
% inverse(B)),inverse(C)))) ->
% double_divide(B,inverse(C)) collapsed.
% Current number of equations to process: 318
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [116]
% double_divide(inverse(double_divide(A,inverse(B))),C) ->
% double_divide(A,inverse(double_divide(inverse(B),C)))
% Rule
% [20]
% double_divide(inverse(A),inverse(double_divide(inverse(double_divide(A,
% inverse(B))),C))) ->
% double_divide(inverse(B),C) collapsed.
% Rule
% [48]
% double_divide(inverse(double_divide(A,inverse(B))),inverse(C)) ->
% double_divide(inverse(B),inverse(double_divide(A,inverse(C)))) collapsed.
% Rule
% [62]
% double_divide(inverse(double_divide(A,inverse(double_divide(inverse(C),B)))),V_3)
% ->
% double_divide(inverse(double_divide(A,B)),inverse(double_divide(inverse(C),V_3)))
% collapsed.
% Rule
% [98]
% double_divide(inverse(V_3),inverse(double_divide(A,inverse(double_divide(
% inverse(double_divide(V_3,
% inverse(B))),C)))))
% -> double_divide(A,inverse(double_divide(inverse(B),C))) collapsed.
% Current number of equations to process: 319
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [117]
% double_divide(A,inverse(double_divide(inverse(B),inverse(C)))) <->
% double_divide(inverse(C),inverse(double_divide(A,inverse(B))))
% Current number of equations to process: 333
% Current number of ordered equations: 1
% Current number of rules: 75
% New rule produced :
% [118]
% double_divide(inverse(C),inverse(double_divide(A,inverse(B)))) <->
% double_divide(A,inverse(double_divide(inverse(B),inverse(C))))
% Current number of equations to process: 333
% Current number of ordered equations: 0
% Current number of rules: 76
% Rule [85]
% double_divide(C,inverse(B)) <->
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(
% inverse(A),
% inverse(
% inverse(C))))))) is composed into 
% [85]
% double_divide(C,inverse(B)) <-> double_divide(inverse(B),inverse(inverse(C)))
% New rule produced :
% [119]
% double_divide(C,inverse(double_divide(A,inverse(double_divide(inverse(C),
% inverse(B)))))) ->
% double_divide(A,inverse(B))
% Rule
% [86]
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(
% inverse(A),inverse(
% inverse(C)))))))
% <-> double_divide(C,inverse(B)) collapsed.
% Current number of equations to process: 338
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [120]
% double_divide(inverse(C),B) <->
% double_divide(inverse(A),inverse(double_divide(inverse(double_divide(A,B)),
% inverse(C))))
% Current number of equations to process: 337
% Current number of ordered equations: 1
% Current number of rules: 77
% New rule produced :
% [121]
% double_divide(inverse(A),inverse(double_divide(inverse(double_divide(A,B)),
% inverse(C)))) <->
% double_divide(inverse(C),B)
% Current number of equations to process: 337
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [122]
% double_divide(A,inverse(double_divide(B,inverse(C)))) <->
% double_divide(B,inverse(inverse(double_divide(C,inverse(A)))))
% Current number of equations to process: 341
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced :
% [123]
% double_divide(B,inverse(inverse(double_divide(C,inverse(A))))) <->
% double_divide(A,inverse(double_divide(B,inverse(C))))
% Rule
% [34]
% double_divide(inverse(A),inverse(inverse(double_divide(B,inverse(A))))) -> B
% collapsed.
% Current number of equations to process: 341
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [124]
% double_divide(A,inverse(double_divide(B,inverse(A)))) <->
% double_divide(B,double_divide(c3,inverse(c3)))
% Current number of equations to process: 342
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [125]
% double_divide(B,double_divide(c3,inverse(c3))) <->
% double_divide(A,inverse(double_divide(B,inverse(A))))
% Current number of equations to process: 342
% Current number of ordered equations: 0
% Current number of rules: 81
% Rule [68]
% double_divide(inverse(A),inverse(B)) <->
% double_divide(inverse(C),inverse(double_divide(inverse(B),inverse(
% inverse(
% double_divide(A,
% inverse(C))))))) is composed into 
% [68]
% double_divide(inverse(A),inverse(B)) <-> double_divide(inverse(B),inverse(A))
% New rule produced :
% [126]
% double_divide(inverse(C),inverse(double_divide(A,inverse(inverse(double_divide(B,
% inverse(C)))))))
% -> double_divide(A,inverse(B))
% Rule
% [67]
% double_divide(inverse(C),inverse(double_divide(inverse(B),inverse(inverse(
% double_divide(A,
% inverse(C)))))))
% <-> double_divide(inverse(A),inverse(B)) collapsed.
% Current number of equations to process: 341
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [127]
% double_divide(C,inverse(B)) <->
% double_divide(A,inverse(double_divide(inverse(B),inverse(inverse(double_divide(A,
% inverse(C)))))))
% Current number of equations to process: 340
% Current number of ordered equations: 1
% Current number of rules: 82
% New rule produced :
% [128]
% double_divide(A,inverse(double_divide(inverse(B),inverse(inverse(double_divide(A,
% inverse(C)))))))
% <-> double_divide(C,inverse(B))
% Current number of equations to process: 340
% Current number of ordered equations: 0
% Current number of rules: 83
% Rule [76]
% double_divide(inverse(double_divide(double_divide(B,C),V_3)),inverse(
% double_divide(
% inverse(A),C)))
% <->
% double_divide(inverse(A),inverse(double_divide(inverse(double_divide(A,V_3)),
% inverse(double_divide(inverse(A),
% inverse(B)))))) is composed into 
% [76]
% double_divide(inverse(double_divide(double_divide(B,C),V_3)),inverse(
% double_divide(
% inverse(A),C)))
% <->
% double_divide(inverse(A),inverse(double_divide(inverse(A),inverse(double_divide(
% inverse(
% double_divide(A,V_3)),
% inverse(B))))))
% Rule [72]
% double_divide(double_divide(V_3,B),inverse(C)) <->
% double_divide(double_divide(A,B),inverse(double_divide(A,inverse(
% double_divide(
% inverse(C),
% inverse(V_3)))))) is composed into 
% [72]
% double_divide(double_divide(V_3,B),inverse(C)) <->
% double_divide(A,inverse(double_divide(double_divide(A,B),inverse(double_divide(
% inverse(C),
% inverse(V_3))))))
% Rule [22]
% double_divide(double_divide(inverse(A),B),inverse(double_divide(
% inverse(C),B))) <->
% double_divide(inverse(V_3),inverse(double_divide(V_3,inverse(double_divide(A,
% inverse(C)))))) is composed into 
% [22]
% double_divide(double_divide(inverse(A),B),inverse(double_divide(inverse(C),B)))
% <->
% double_divide(V_3,inverse(double_divide(inverse(V_3),inverse(double_divide(A,
% inverse(C))))))
% New rule produced :
% [129]
% double_divide(A,inverse(double_divide(B,inverse(C)))) <->
% double_divide(B,inverse(double_divide(A,inverse(C))))
% Rule
% [4]
% double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(
% inverse(C),B)))))
% -> C collapsed.
% Rule
% [32]
% double_divide(double_divide(A,inverse(B)),inverse(double_divide(A,inverse(C))))
% -> double_divide(B,inverse(C)) collapsed.
% Rule
% [66]
% double_divide(double_divide(double_divide(inverse(A),B),B),inverse(double_divide(A,
% inverse(C))))
% -> C collapsed.
% Rule
% [71]
% double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(
% inverse(C),
% inverse(V_3))))))
% <-> double_divide(double_divide(V_3,B),inverse(C)) collapsed.
% Current number of equations to process: 345
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [130]
% double_divide(A,inverse(double_divide(double_divide(A,inverse(B)),inverse(C))))
% -> double_divide(B,inverse(C))
% Current number of equations to process: 344
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [131]
% double_divide(A,inverse(double_divide(double_divide(A,B),inverse(double_divide(
% inverse(C),B)))))
% -> C
% Current number of equations to process: 343
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [132]
% double_divide(A,inverse(double_divide(double_divide(double_divide(inverse(A),B),B),
% inverse(C)))) -> C
% Current number of equations to process: 342
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [133]
% double_divide(A,inverse(A)) <->
% double_divide(B,inverse(inverse(double_divide(B,double_divide(c3,inverse(c3))))))
% Current number of equations to process: 349
% Current number of ordered equations: 2
% Current number of rules: 84
% Rule [133]
% double_divide(A,inverse(A)) <->
% double_divide(B,inverse(inverse(double_divide(B,double_divide(c3,
% inverse(c3)))))) is composed into 
% [133] double_divide(A,inverse(A)) <-> double_divide(c3,inverse(c3))
% New rule produced :
% [134]
% double_divide(B,inverse(inverse(double_divide(B,double_divide(c3,inverse(c3))))))
% <-> double_divide(A,inverse(A))
% Current number of equations to process: 349
% Current number of ordered equations: 1
% Current number of rules: 85
% New rule produced :
% [135]
% double_divide(inverse(double_divide(A,double_divide(B,inverse(B)))),inverse(C))
% -> double_divide(A,inverse(C))
% Rule
% [35]
% double_divide(inverse(double_divide(A,double_divide(c3,inverse(c3)))),
% inverse(B)) -> double_divide(A,inverse(B)) collapsed.
% Current number of equations to process: 349
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [136]
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(
% inverse(A),C))))) ->
% double_divide(inverse(B),C)
% Current number of equations to process: 353
% Current number of ordered equations: 0
% Current number of rules: 86
% Rule [124]
% double_divide(A,inverse(double_divide(B,inverse(A)))) <->
% double_divide(B,double_divide(c3,inverse(c3))) is composed into 
% [124] double_divide(A,inverse(double_divide(B,inverse(A)))) -> inverse(B)
% Rule [69]
% double_divide(A,inverse(C)) <->
% double_divide(inverse(C),inverse(double_divide(A,double_divide(V_3,
% inverse(V_3))))) is composed into 
% [69]
% double_divide(A,inverse(C)) <-> double_divide(inverse(C),inverse(inverse(A)))
% Rule [54]
% double_divide(inverse(C),inverse(double_divide(A,inverse(inverse(C)))))
% <-> double_divide(A,double_divide(B,inverse(B))) is composed into 
% [54]
% double_divide(inverse(C),inverse(double_divide(A,inverse(inverse(C))))) ->
% inverse(A)
% New rule produced :
% [137] double_divide(A,double_divide(B,inverse(B))) -> inverse(A)
% Rule [104] double_divide(inverse(A),double_divide(B,inverse(B))) -> A
% collapsed.
% Rule
% [125]
% double_divide(B,double_divide(c3,inverse(c3))) <->
% double_divide(A,inverse(double_divide(B,inverse(A)))) collapsed.
% Rule
% [134]
% double_divide(B,inverse(inverse(double_divide(B,double_divide(c3,inverse(c3))))))
% <-> double_divide(A,inverse(A)) collapsed.
% Rule
% [135]
% double_divide(inverse(double_divide(A,double_divide(B,inverse(B)))),inverse(C))
% -> double_divide(A,inverse(C)) collapsed.
% Current number of equations to process: 357
% Current number of ordered equations: 0
% Current number of rules: 83
% Rule [127]
% double_divide(C,inverse(B)) <->
% double_divide(A,inverse(double_divide(inverse(B),inverse(inverse(
% double_divide(A,
% inverse(C))))))) is composed into 
% [127]
% double_divide(C,inverse(B)) <->
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,inverse(C)))))
% Rule [122]
% double_divide(A,inverse(double_divide(B,inverse(C)))) <->
% double_divide(B,inverse(inverse(double_divide(C,inverse(A))))) is composed into 
% [122]
% double_divide(A,inverse(double_divide(B,inverse(C)))) <->
% double_divide(B,double_divide(C,inverse(A)))
% Rule [95]
% double_divide(inverse(A),inverse(B)) <->
% double_divide(inverse(double_divide(C,V_3)),inverse(inverse(inverse(
% double_divide(
% double_divide(B,
% inverse(
% double_divide(C,V_3))),
% inverse(A)))))) is composed into 
% [95]
% double_divide(inverse(A),inverse(B)) <->
% double_divide(inverse(double_divide(C,V_3)),inverse(double_divide(double_divide(B,
% inverse(
% double_divide(C,V_3))),
% inverse(A))))
% Rule [85]
% double_divide(C,inverse(B)) <->
% double_divide(inverse(B),inverse(inverse(C))) is composed into [85]
% double_divide(C,
% inverse(B))
% <->
% double_divide(
% inverse(B),C)
% Rule [81]
% double_divide(B,inverse(A)) <->
% double_divide(inverse(A),inverse(inverse(B))) is composed into [81]
% double_divide(B,
% inverse(A))
% <->
% double_divide(
% inverse(A),B)
% Rule [69]
% double_divide(A,inverse(C)) <->
% double_divide(inverse(C),inverse(inverse(A))) is composed into [69]
% double_divide(A,
% inverse(C))
% <->
% double_divide(
% inverse(C),A)
% Rule [58]
% double_divide(inverse(A),B) <->
% double_divide(inverse(C),inverse(double_divide(inverse(double_divide(C,B)),
% inverse(inverse(inverse(A)))))) is composed into 
% [58]
% double_divide(inverse(A),B) <->
% double_divide(inverse(C),inverse(double_divide(inverse(double_divide(C,B)),
% inverse(A))))
% Rule [43]
% double_divide(double_divide(A,inverse(A)),B) <->
% double_divide(inverse(C),inverse(double_divide(inverse(C),inverse(
% inverse(
% double_divide(
% inverse(C),
% inverse(
% inverse(
% double_divide(C,B))))))))) is composed into 
% [43]
% double_divide(double_divide(A,inverse(A)),B) <->
% double_divide(inverse(C),inverse(double_divide(inverse(C),double_divide(
% inverse(C),
% double_divide(C,B)))))
% New rule produced : [138] inverse(inverse(A)) -> A
% Rule
% [54]
% double_divide(inverse(C),inverse(double_divide(A,inverse(inverse(C))))) ->
% inverse(A) collapsed.
% Rule
% [57]
% double_divide(inverse(C),inverse(double_divide(inverse(double_divide(C,B)),
% inverse(inverse(inverse(A)))))) <->
% double_divide(inverse(A),B) collapsed.
% Rule
% [59]
% double_divide(inverse(C),inverse(double_divide(A,inverse(double_divide(
% inverse(B),inverse(
% inverse(C)))))))
% -> double_divide(A,inverse(B)) collapsed.
% Rule
% [82]
% double_divide(inverse(A),inverse(inverse(B))) <-> double_divide(B,inverse(A))
% collapsed.
% Rule
% [96]
% double_divide(inverse(double_divide(C,V_3)),inverse(inverse(inverse(double_divide(
% double_divide(B,
% inverse(
% double_divide(C,V_3))),
% inverse(A))))))
% <-> double_divide(inverse(A),inverse(B)) collapsed.
% Rule
% [107]
% double_divide(double_divide(inverse(c3),inverse(double_divide(inverse(c3),
% inverse(inverse(double_divide(
% inverse(c3),
% inverse(
% inverse(
% double_divide(c3,B))))))))),C)
% <->
% double_divide(inverse(V_3),inverse(double_divide(double_divide(inverse(V_3),B),C)))
% collapsed.
% Rule
% [114]
% double_divide(A,inverse(double_divide(inverse(C),inverse(double_divide(
% inverse(C),inverse(
% inverse(
% double_divide(
% inverse(C),
% inverse(
% inverse(
% double_divide(C,B)))))))))))
% -> double_divide(A,B) collapsed.
% Rule
% [123]
% double_divide(B,inverse(inverse(double_divide(C,inverse(A))))) <->
% double_divide(A,inverse(double_divide(B,inverse(C)))) collapsed.
% Rule
% [126]
% double_divide(inverse(C),inverse(double_divide(A,inverse(inverse(double_divide(B,
% inverse(C)))))))
% -> double_divide(A,inverse(B)) collapsed.
% Rule
% [128]
% double_divide(A,inverse(double_divide(inverse(B),inverse(inverse(double_divide(A,
% inverse(C)))))))
% <-> double_divide(C,inverse(B)) collapsed.
% Current number of equations to process: 364
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [139] double_divide(inverse(C),inverse(double_divide(A,C))) -> inverse(A)
% Current number of equations to process: 362
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [140]
% double_divide(A,inverse(double_divide(B,inverse(double_divide(inverse(A),C)))))
% -> double_divide(B,C)
% Rule
% [94]
% double_divide(inverse(B),inverse(double_divide(A,inverse(double_divide(C,
% inverse(double_divide(
% inverse(A),V_3)))))))
% -> double_divide(inverse(B),inverse(double_divide(C,V_3))) collapsed.
% Rule
% [119]
% double_divide(C,inverse(double_divide(A,inverse(double_divide(inverse(C),
% inverse(B)))))) ->
% double_divide(A,inverse(B)) collapsed.
% Rule
% [136]
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(
% inverse(A),C))))) ->
% double_divide(inverse(B),C) collapsed.
% Current number of equations to process: 359
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [141]
% double_divide(inverse(C),inverse(double_divide(A,double_divide(B,inverse(C)))))
% -> double_divide(A,inverse(B))
% Current number of equations to process: 359
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [142]
% double_divide(inverse(C),inverse(double_divide(A,inverse(double_divide(
% inverse(B),C))))) ->
% double_divide(A,inverse(B))
% Current number of equations to process: 357
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [143]
% double_divide(A,inverse(double_divide(inverse(B),inverse(C)))) <->
% double_divide(inverse(B),inverse(double_divide(inverse(C),A)))
% Current number of equations to process: 356
% Current number of ordered equations: 1
% Current number of rules: 76
% New rule produced :
% [144]
% double_divide(inverse(B),inverse(double_divide(inverse(C),A))) <->
% double_divide(A,inverse(double_divide(inverse(B),inverse(C))))
% Rule
% [76]
% double_divide(inverse(double_divide(double_divide(B,C),V_3)),inverse(
% double_divide(
% inverse(A),C)))
% <->
% double_divide(inverse(A),inverse(double_divide(inverse(A),inverse(double_divide(
% inverse(
% double_divide(A,V_3)),
% inverse(B))))))
% collapsed.
% Current number of equations to process: 357
% Current number of ordered equations: 0
% Current number of rules: 76
% Rule [72]
% double_divide(double_divide(V_3,B),inverse(C)) <->
% double_divide(A,inverse(double_divide(double_divide(A,B),inverse(
% double_divide(
% inverse(C),
% inverse(V_3)))))) is composed into 
% [72]
% double_divide(double_divide(V_3,B),inverse(C)) <->
% double_divide(inverse(B),inverse(double_divide(inverse(C),inverse(V_3))))
% New rule produced :
% [145]
% double_divide(A,inverse(double_divide(double_divide(A,B),inverse(C)))) ->
% double_divide(inverse(B),inverse(C))
% Rule
% [130]
% double_divide(A,inverse(double_divide(double_divide(A,inverse(B)),inverse(C))))
% -> double_divide(B,inverse(C)) collapsed.
% Rule
% [131]
% double_divide(A,inverse(double_divide(double_divide(A,B),inverse(double_divide(
% inverse(C),B)))))
% -> C collapsed.
% Current number of equations to process: 358
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [146]
% double_divide(A,inverse(double_divide(B,inverse(double_divide(inverse(C),
% inverse(A)))))) ->
% double_divide(B,inverse(C))
% Rule
% [24]
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(
% inverse(C),inverse(A))))))
% -> double_divide(inverse(B),inverse(C)) collapsed.
% Current number of equations to process: 359
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [147]
% double_divide(inverse(A),inverse(double_divide(B,inverse(C)))) <->
% double_divide(double_divide(C,inverse(B)),inverse(A))
% Current number of equations to process: 360
% Current number of ordered equations: 1
% Current number of rules: 76
% New rule produced :
% [148]
% double_divide(double_divide(C,inverse(B)),inverse(A)) <->
% double_divide(inverse(A),inverse(double_divide(B,inverse(C))))
% Current number of equations to process: 360
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [149]
% double_divide(inverse(A),inverse(double_divide(inverse(B),inverse(C)))) <->
% double_divide(double_divide(C,B),inverse(A))
% Current number of equations to process: 363
% Current number of ordered equations: 1
% Current number of rules: 78
% New rule produced :
% [150]
% double_divide(double_divide(C,B),inverse(A)) <->
% double_divide(inverse(A),inverse(double_divide(inverse(B),inverse(C))))
% Current number of equations to process: 363
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [151]
% double_divide(A,inverse(double_divide(double_divide(B,A),inverse(C)))) <->
% double_divide(inverse(C),inverse(B))
% Rule
% [103]
% double_divide(inverse(A),inverse(double_divide(double_divide(B,inverse(A)),
% inverse(C)))) <->
% double_divide(inverse(C),inverse(B)) collapsed.
% Current number of equations to process: 366
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced :
% [152]
% double_divide(inverse(C),inverse(B)) <->
% double_divide(A,inverse(double_divide(double_divide(B,A),inverse(C))))
% Rule
% [95]
% double_divide(inverse(A),inverse(B)) <->
% double_divide(inverse(double_divide(C,V_3)),inverse(double_divide(double_divide(B,
% inverse(
% double_divide(C,V_3))),
% inverse(A)))) collapsed.
% Rule
% [102]
% double_divide(inverse(C),inverse(B)) <->
% double_divide(inverse(A),inverse(double_divide(double_divide(B,inverse(A)),
% inverse(C)))) collapsed.
% Current number of equations to process: 366
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [153]
% double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3)))) <->
% double_divide(double_divide(V_3,inverse(double_divide(B,inverse(A)))),
% inverse(C))
% Current number of equations to process: 368
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced :
% [154]
% double_divide(double_divide(V_3,inverse(double_divide(B,inverse(A)))),
% inverse(C)) <->
% double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3))))
% Current number of equations to process: 368
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [155]
% double_divide(A,inverse(double_divide(B,inverse(C)))) <->
% double_divide(B,inverse(double_divide(inverse(C),A)))
% Rule
% [118]
% double_divide(inverse(C),inverse(double_divide(A,inverse(B)))) <->
% double_divide(A,inverse(double_divide(inverse(B),inverse(C)))) collapsed.
% Rule
% [143]
% double_divide(A,inverse(double_divide(inverse(B),inverse(C)))) <->
% double_divide(inverse(B),inverse(double_divide(inverse(C),A))) collapsed.
% Current number of equations to process: 371
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced :
% [156]
% double_divide(B,inverse(double_divide(inverse(C),A))) <->
% double_divide(A,inverse(double_divide(B,inverse(C))))
% Rule
% [22]
% double_divide(double_divide(inverse(A),B),inverse(double_divide(inverse(C),B)))
% <->
% double_divide(V_3,inverse(double_divide(inverse(V_3),inverse(double_divide(A,
% inverse(C))))))
% collapsed.
% Rule
% [117]
% double_divide(A,inverse(double_divide(inverse(B),inverse(C)))) <->
% double_divide(inverse(C),inverse(double_divide(A,inverse(B)))) collapsed.
% Rule
% [144]
% double_divide(inverse(B),inverse(double_divide(inverse(C),A))) <->
% double_divide(A,inverse(double_divide(inverse(B),inverse(C)))) collapsed.
% Current number of equations to process: 372
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [157]
% double_divide(inverse(A),inverse(double_divide(inverse(A),double_divide(
% inverse(A),
% double_divide(A,
% inverse(B)))))) ->
% B
% Current number of equations to process: 375
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [158]
% double_divide(double_divide(A,B),inverse(C)) <->
% double_divide(inverse(A),inverse(double_divide(inverse(C),inverse(B))))
% Current number of equations to process: 394
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced :
% [159]
% double_divide(inverse(A),inverse(double_divide(inverse(C),inverse(B)))) <->
% double_divide(double_divide(A,B),inverse(C))
% Current number of equations to process: 394
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [160]
% double_divide(C,inverse(B)) <->
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(C,
% inverse(A))))))
% Current number of equations to process: 393
% Current number of ordered equations: 1
% Current number of rules: 81
% New rule produced :
% [161]
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(C,
% inverse(A)))))) <->
% double_divide(C,inverse(B))
% Current number of equations to process: 393
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [162]
% double_divide(inverse(B),inverse(double_divide(inverse(A),inverse(double_divide(
% inverse(C),C)))))
% <-> double_divide(inverse(A),inverse(B))
% Current number of equations to process: 392
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [163]
% double_divide(inverse(A),inverse(B)) <->
% double_divide(inverse(B),inverse(double_divide(inverse(A),inverse(double_divide(
% inverse(C),C)))))
% Current number of equations to process: 392
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [164]
% double_divide(A,inverse(double_divide(inverse(c3),inverse(double_divide(
% inverse(double_divide(c3,B)),
% inverse(double_divide(
% inverse(C),V_3)))))))
% <->
% double_divide(inverse(double_divide(A,B)),inverse(double_divide(inverse(C),V_3)))
% Current number of equations to process: 393
% Current number of ordered equations: 1
% Current number of rules: 85
% New rule produced :
% [165]
% double_divide(inverse(double_divide(A,B)),inverse(double_divide(inverse(C),V_3)))
% <->
% double_divide(A,inverse(double_divide(inverse(c3),inverse(double_divide(
% inverse(double_divide(c3,B)),
% inverse(double_divide(
% inverse(C),V_3)))))))
% Current number of equations to process: 393
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [166]
% double_divide(inverse(double_divide(A,B)),double_divide(A,inverse(double_divide(
% inverse(C),B))))
% -> inverse(C)
% Current number of equations to process: 390
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [167]
% double_divide(A,inverse(double_divide(B,C))) <->
% double_divide(B,inverse(double_divide(A,C)))
% Rule
% [6]
% double_divide(C,inverse(double_divide(inverse(B),V_3))) <->
% double_divide(inverse(B),inverse(double_divide(C,V_3))) collapsed.
% Rule
% [18]
% double_divide(A,inverse(double_divide(inverse(B),C))) <->
% double_divide(inverse(B),inverse(double_divide(A,C))) collapsed.
% Rule
% [19]
% double_divide(inverse(B),inverse(double_divide(A,C))) <->
% double_divide(A,inverse(double_divide(inverse(B),C))) collapsed.
% Rule
% [129]
% double_divide(A,inverse(double_divide(B,inverse(C)))) <->
% double_divide(B,inverse(double_divide(A,inverse(C)))) collapsed.
% Current number of equations to process: 389
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [168]
% double_divide(C,inverse(double_divide(double_divide(B,inverse(A)),inverse(V_3))))
% <->
% double_divide(A,inverse(double_divide(double_divide(B,inverse(C)),inverse(V_3))))
% Current number of equations to process: 388
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [169]
% double_divide(A,inverse(double_divide(double_divide(B,inverse(C)),inverse(V_3))))
% <->
% double_divide(double_divide(B,inverse(A)),inverse(double_divide(inverse(V_3),C)))
% Current number of equations to process: 387
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [170]
% double_divide(double_divide(B,inverse(A)),inverse(double_divide(inverse(V_3),C)))
% <->
% double_divide(A,inverse(double_divide(double_divide(B,inverse(C)),inverse(V_3))))
% Current number of equations to process: 387
% Current number of ordered equations: 0
% Current number of rules: 87
% Rule [153]
% double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3))))
% <->
% double_divide(double_divide(V_3,inverse(double_divide(B,inverse(A)))),
% inverse(C)) is composed into [153]
% double_divide(A,inverse(double_divide(
% double_divide(B,C),
% inverse(V_3)))) <->
% double_divide(inverse(V_3),inverse(
% double_divide(
% inverse(B),
% inverse(
% double_divide(A,
% inverse(C))))))
% Rule [147]
% double_divide(inverse(A),inverse(double_divide(B,inverse(C)))) <->
% double_divide(double_divide(C,inverse(B)),inverse(A)) is composed into 
% [147]
% double_divide(inverse(A),inverse(double_divide(B,inverse(C)))) <->
% double_divide(inverse(C),inverse(double_divide(B,inverse(A))))
% Rule [108]
% double_divide(C,inverse(double_divide(A,inverse(double_divide(inverse(V_3),B)))))
% <->
% double_divide(double_divide(double_divide(A,B),inverse(C)),inverse(V_3)) is composed into 
% [108]
% double_divide(C,inverse(double_divide(A,inverse(double_divide(inverse(V_3),B)))))
% <->
% double_divide(inverse(double_divide(A,B)),inverse(double_divide(C,inverse(V_3))))
% Rule [88]
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(
% inverse(C),
% inverse(V_3))))))
% <->
% double_divide(inverse(B),inverse(double_divide(double_divide(V_3,
% inverse(A)),inverse(C)))) is composed into 
% [88]
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(
% inverse(C),inverse(V_3))))))
% <->
% double_divide(inverse(B),inverse(double_divide(inverse(V_3),inverse(double_divide(A,
% inverse(C))))))
% Rule [46]
% double_divide(A,inverse(double_divide(inverse(B),inverse(C)))) <->
% double_divide(double_divide(C,inverse(A)),inverse(B)) is composed into 
% [46]
% double_divide(A,inverse(double_divide(inverse(B),inverse(C)))) <->
% double_divide(inverse(C),inverse(double_divide(A,inverse(B))))
% New rule produced :
% [171]
% double_divide(double_divide(A,inverse(B)),inverse(C)) ->
% double_divide(inverse(A),inverse(double_divide(B,inverse(C))))
% Rule [30] double_divide(double_divide(A,inverse(A)),inverse(B)) -> B
% collapsed.
% Rule
% [47]
% double_divide(double_divide(C,inverse(A)),inverse(B)) <->
% double_divide(A,inverse(double_divide(inverse(B),inverse(C)))) collapsed.
% Rule
% [91]
% double_divide(inverse(B),inverse(double_divide(double_divide(V_3,inverse(A)),
% inverse(C)))) <->
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(
% inverse(C),inverse(V_3))))))
% collapsed.
% Rule
% [109]
% double_divide(double_divide(double_divide(A,B),inverse(C)),inverse(V_3)) <->
% double_divide(C,inverse(double_divide(A,inverse(double_divide(inverse(V_3),B)))))
% collapsed.
% Rule
% [110]
% double_divide(double_divide(B,inverse(double_divide(inverse(A),C))),inverse(V_3))
% -> double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3))))
% collapsed.
% Rule
% [115]
% double_divide(double_divide(inverse(A),inverse(B)),inverse(C)) ->
% double_divide(A,inverse(double_divide(B,inverse(C)))) collapsed.
% Rule
% [148]
% double_divide(double_divide(C,inverse(B)),inverse(A)) <->
% double_divide(inverse(A),inverse(double_divide(B,inverse(C)))) collapsed.
% Rule
% [154]
% double_divide(double_divide(V_3,inverse(double_divide(B,inverse(A)))),
% inverse(C)) <->
% double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3))))
% collapsed.
% Rule
% [168]
% double_divide(C,inverse(double_divide(double_divide(B,inverse(A)),inverse(V_3))))
% <->
% double_divide(A,inverse(double_divide(double_divide(B,inverse(C)),inverse(V_3))))
% collapsed.
% Rule
% [169]
% double_divide(A,inverse(double_divide(double_divide(B,inverse(C)),inverse(V_3))))
% <->
% double_divide(double_divide(B,inverse(A)),inverse(double_divide(inverse(V_3),C)))
% collapsed.
% Rule
% [170]
% double_divide(double_divide(B,inverse(A)),inverse(double_divide(inverse(V_3),C)))
% <->
% double_divide(A,inverse(double_divide(double_divide(B,inverse(C)),inverse(V_3))))
% collapsed.
% Current number of equations to process: 391
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [172]
% double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3)))) <->
% double_divide(inverse(B),inverse(double_divide(double_divide(inverse(A),C),
% inverse(V_3))))
% Rule
% [132]
% double_divide(A,inverse(double_divide(double_divide(double_divide(inverse(A),B),B),
% inverse(C)))) -> C collapsed.
% Current number of equations to process: 390
% Current number of ordered equations: 1
% Current number of rules: 77
% New rule produced :
% [173]
% double_divide(inverse(A),inverse(double_divide(inverse(B),inverse(double_divide(
% inverse(
% double_divide(A,B)),
% inverse(C))))))
% -> C
% Current number of equations to process: 389
% Current number of ordered equations: 1
% Current number of rules: 78
% New rule produced :
% [174]
% double_divide(inverse(B),inverse(double_divide(double_divide(inverse(A),C),
% inverse(V_3)))) <->
% double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3))))
% Current number of equations to process: 389
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [175]
% double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3)))) <->
% double_divide(double_divide(inverse(A),C),inverse(double_divide(inverse(V_3),
% inverse(B))))
% Current number of equations to process: 388
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [176]
% double_divide(double_divide(inverse(A),C),inverse(double_divide(inverse(V_3),
% inverse(B)))) <->
% double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3))))
% Current number of equations to process: 388
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [177]
% double_divide(B,inverse(double_divide(double_divide(inverse(A),B),inverse(C))))
% -> double_divide(A,inverse(C))
% Current number of equations to process: 387
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [178]
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(
% double_divide(
% inverse(B),C),V_3)))))
% <-> double_divide(double_divide(inverse(A),C),V_3)
% Current number of equations to process: 384
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [179]
% double_divide(double_divide(inverse(A),C),V_3) <->
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(
% double_divide(
% inverse(B),C),V_3)))))
% Current number of equations to process: 384
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [180]
% double_divide(C,inverse(double_divide(inverse(B),inverse(double_divide(A,
% inverse(V_3))))))
% <->
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(C,
% inverse(V_3))))))
% Current number of equations to process: 383
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [181]
% double_divide(inverse(B),inverse(double_divide(A,inverse(double_divide(
% double_divide(
% inverse(B),C),C)))))
% -> inverse(A)
% Current number of equations to process: 388
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [182]
% double_divide(B,inverse(double_divide(C,inverse(double_divide(double_divide(B,C),
% inverse(A)))))) -> A
% Current number of equations to process: 412
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [183]
% double_divide(inverse(A),inverse(double_divide(inverse(B),inverse(double_divide(
% inverse(C),
% inverse(
% double_divide(A,B)))))))
% -> C
% Current number of equations to process: 411
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [184]
% double_divide(A,inverse(double_divide(B,inverse(double_divide(inverse(V_3),C)))))
% <->
% double_divide(A,inverse(double_divide(inverse(double_divide(B,C)),inverse(V_3))))
% Current number of equations to process: 439
% Current number of ordered equations: 1
% Current number of rules: 89
% New rule produced :
% [185]
% double_divide(A,inverse(double_divide(inverse(double_divide(B,C)),inverse(V_3))))
% <->
% double_divide(A,inverse(double_divide(B,inverse(double_divide(inverse(V_3),C)))))
% Current number of equations to process: 439
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [186]
% double_divide(A,inverse(double_divide(B,inverse(double_divide(C,inverse(V_3))))))
% <->
% double_divide(B,inverse(double_divide(C,inverse(double_divide(A,inverse(V_3))))))
% Rule
% [89]
% double_divide(inverse(C),inverse(double_divide(A,inverse(double_divide(B,
% inverse(V_3))))))
% <->
% double_divide(A,inverse(double_divide(B,inverse(double_divide(inverse(C),
% inverse(V_3)))))) collapsed.
% Current number of equations to process: 456
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced :
% [187]
% double_divide(B,inverse(double_divide(C,inverse(double_divide(A,inverse(V_3))))))
% <->
% double_divide(A,inverse(double_divide(B,inverse(double_divide(C,inverse(V_3))))))
% Rule
% [63]
% double_divide(inverse(C),inverse(double_divide(A,inverse(double_divide(C,
% inverse(B)))))) ->
% double_divide(A,inverse(B)) collapsed.
% Current number of equations to process: 456
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [188]
% double_divide(C,inverse(double_divide(inverse(C),B))) <->
% double_divide(A,inverse(double_divide(inverse(A),B)))
% Current number of equations to process: 456
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [189]
% double_divide(A,inverse(double_divide(B,inverse(double_divide(C,inverse(
% double_divide(
% inverse(A),V_3)))))))
% -> double_divide(B,inverse(double_divide(C,V_3)))
% Current number of equations to process: 459
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [190]
% double_divide(A,inverse(double_divide(inverse(A),C))) <->
% double_divide(inverse(c3),inverse(double_divide(inverse(c3),double_divide(
% inverse(c3),
% double_divide(c3,C)))))
% Current number of equations to process: 458
% Current number of ordered equations: 1
% Current number of rules: 93
% Rule [190]
% double_divide(A,inverse(double_divide(inverse(A),C))) <->
% double_divide(inverse(c3),inverse(double_divide(inverse(c3),double_divide(
% inverse(c3),
% double_divide(c3,C))))) is composed into 
% [190]
% double_divide(A,inverse(double_divide(inverse(A),C))) <->
% double_divide(c3,inverse(double_divide(inverse(c3),C)))
% New rule produced :
% [191]
% double_divide(inverse(c3),inverse(double_divide(inverse(c3),double_divide(
% inverse(c3),
% double_divide(c3,C)))))
% <-> double_divide(A,inverse(double_divide(inverse(A),C)))
% Current number of equations to process: 458
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [192]
% double_divide(inverse(A),inverse(double_divide(B,inverse(double_divide(
% inverse(C),inverse(
% double_divide(A,V_3)))))))
% -> double_divide(B,inverse(double_divide(inverse(C),V_3)))
% Rule
% [183]
% double_divide(inverse(A),inverse(double_divide(inverse(B),inverse(double_divide(
% inverse(C),
% inverse(
% double_divide(A,B)))))))
% -> C collapsed.
% Current number of equations to process: 456
% Current number of ordered equations: 1
% Current number of rules: 94
% Rule [175]
% double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3))))
% <->
% double_divide(double_divide(inverse(A),C),inverse(double_divide(
% inverse(V_3),inverse(B)))) is composed into 
% [175]
% double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3)))) <->
% double_divide(A,inverse(double_divide(inverse(C),inverse(double_divide(
% inverse(V_3),
% inverse(B))))))
% Rule [172]
% double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3))))
% <->
% double_divide(inverse(B),inverse(double_divide(double_divide(inverse(A),C),
% inverse(V_3)))) is composed into 
% [172]
% double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3)))) <->
% double_divide(inverse(B),inverse(double_divide(A,inverse(double_divide(
% inverse(C),inverse(V_3))))))
% New rule produced :
% [193]
% double_divide(double_divide(inverse(A),C),inverse(V_3)) ->
% double_divide(A,inverse(double_divide(inverse(C),inverse(V_3))))
% Rule
% [9]
% double_divide(double_divide(inverse(A),V_3),inverse(double_divide(inverse(B),
% inverse(double_divide(
% inverse(C),V_3)))))
% <-> double_divide(inverse(B),inverse(double_divide(A,inverse(C)))) collapsed.
% Rule
% [11]
% double_divide(double_divide(inverse(A),B),inverse(C)) <->
% double_divide(inverse(V_3),inverse(double_divide(A,inverse(double_divide(
% double_divide(
% inverse(V_3),B),
% inverse(C))))))
% collapsed.
% Rule
% [90]
% double_divide(inverse(C),inverse(double_divide(double_divide(inverse(V_3),B),
% inverse(double_divide(A,inverse(V_3))))))
% <-> double_divide(double_divide(inverse(A),B),inverse(C)) collapsed.
% Rule
% [92]
% double_divide(double_divide(inverse(A),B),inverse(C)) <->
% double_divide(inverse(C),inverse(double_divide(double_divide(inverse(V_3),B),
% inverse(double_divide(A,inverse(V_3))))))
% collapsed.
% Rule
% [174]
% double_divide(inverse(B),inverse(double_divide(double_divide(inverse(A),C),
% inverse(V_3)))) <->
% double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3))))
% collapsed.
% Rule
% [176]
% double_divide(double_divide(inverse(A),C),inverse(double_divide(inverse(V_3),
% inverse(B)))) <->
% double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3))))
% collapsed.
% Rule
% [177]
% double_divide(B,inverse(double_divide(double_divide(inverse(A),B),inverse(C))))
% -> double_divide(A,inverse(C)) collapsed.
% Current number of equations to process: 459
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [194] double_divide(A,inverse(A)) <-> double_divide(inverse(B),B)
% Current number of equations to process: 465
% Current number of ordered equations: 1
% Current number of rules: 89
% Rule [194] double_divide(A,inverse(A)) <-> double_divide(inverse(B),B) is composed into 
% [194] double_divide(A,inverse(A)) <-> double_divide(c3,inverse(c3))
% Rule [163]
% double_divide(inverse(A),inverse(B)) <->
% double_divide(inverse(B),inverse(double_divide(inverse(A),inverse(
% double_divide(
% inverse(C),C))))) is composed into 
% [163]
% double_divide(inverse(A),inverse(B)) <->
% double_divide(inverse(B),inverse(double_divide(inverse(A),inverse(double_divide(c3,
% inverse(c3))))))
% New rule produced :
% [195] double_divide(inverse(B),B) <-> double_divide(A,inverse(A))
% Rule
% [162]
% double_divide(inverse(B),inverse(double_divide(inverse(A),inverse(double_divide(
% inverse(C),C)))))
% <-> double_divide(inverse(A),inverse(B)) collapsed.
% Current number of equations to process: 465
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [196]
% double_divide(inverse(C),inverse(B)) <->
% double_divide(inverse(A),inverse(double_divide(inverse(B),double_divide(
% inverse(A),C))))
% Current number of equations to process: 467
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced :
% [197]
% double_divide(inverse(A),inverse(double_divide(inverse(B),double_divide(
% inverse(A),C))))
% <-> double_divide(inverse(C),inverse(B))
% Current number of equations to process: 467
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [198]
% double_divide(inverse(C),inverse(double_divide(inverse(A),B))) <->
% double_divide(inverse(A),inverse(double_divide(B,inverse(C))))
% Current number of equations to process: 467
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced :
% [199]
% double_divide(inverse(A),inverse(double_divide(B,inverse(C)))) <->
% double_divide(inverse(C),inverse(double_divide(inverse(A),B)))
% Current number of equations to process: 467
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [200]
% double_divide(V_3,inverse(double_divide(B,inverse(double_divide(inverse(A),C)))))
% <->
% double_divide(inverse(A),inverse(double_divide(inverse(double_divide(B,C)),V_3)))
% Current number of equations to process: 472
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [201]
% double_divide(inverse(A),inverse(double_divide(inverse(double_divide(B,C)),V_3)))
% <->
% double_divide(V_3,inverse(double_divide(B,inverse(double_divide(inverse(A),C)))))
% Current number of equations to process: 472
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [202]
% double_divide(inverse(double_divide(A,double_divide(A,B))),inverse(C)) ->
% double_divide(inverse(B),inverse(C))
% Current number of equations to process: 472
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [203]
% double_divide(inverse(B),inverse(double_divide(inverse(C),inverse(double_divide(
% inverse(
% double_divide(C,B)),
% inverse(A))))))
% -> A
% Current number of equations to process: 483
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [204]
% double_divide(inverse(C),inverse(double_divide(inverse(A),inverse(B)))) <->
% double_divide(inverse(A),double_divide(B,C))
% Current number of equations to process: 483
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [205]
% double_divide(inverse(A),double_divide(B,C)) <->
% double_divide(inverse(C),inverse(double_divide(inverse(A),inverse(B))))
% Current number of equations to process: 483
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [206]
% double_divide(A,inverse(double_divide(B,inverse(double_divide(C,inverse(V_3))))))
% <->
% double_divide(B,inverse(double_divide(inverse(V_3),inverse(double_divide(C,A)))))
% Current number of equations to process: 484
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [207]
% double_divide(B,inverse(double_divide(inverse(V_3),inverse(double_divide(C,A)))))
% <->
% double_divide(A,inverse(double_divide(B,inverse(double_divide(C,inverse(V_3))))))
% Current number of equations to process: 484
% Current number of ordered equations: 0
% Current number of rules: 101
% Rule [83]
% double_divide(B,inverse(A)) <->
% double_divide(inverse(A),inverse(double_divide(double_divide(inverse(B),C),C))) is composed into 
% [83]
% double_divide(B,inverse(A)) <-> double_divide(inverse(A),inverse(inverse(B)))
% New rule produced :
% [208]
% double_divide(inverse(A),inverse(double_divide(double_divide(B,C),C))) ->
% double_divide(inverse(A),inverse(B))
% Rule
% [84]
% double_divide(inverse(A),inverse(double_divide(double_divide(inverse(B),C),C)))
% <-> double_divide(B,inverse(A)) collapsed.
% Current number of equations to process: 488
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [209]
% double_divide(A,inverse(B)) <->
% double_divide(double_divide(B,C),inverse(double_divide(A,C)))
% Current number of equations to process: 510
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [210]
% double_divide(double_divide(B,C),inverse(double_divide(A,C))) <->
% double_divide(A,inverse(B))
% Current number of equations to process: 510
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [211]
% double_divide(inverse(C),inverse(double_divide(double_divide(A,V_3),inverse(
% double_divide(B,V_3)))))
% <-> double_divide(inverse(A),inverse(double_divide(B,inverse(C))))
% Current number of equations to process: 558
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [212]
% double_divide(inverse(A),inverse(double_divide(B,inverse(C)))) <->
% double_divide(inverse(C),inverse(double_divide(double_divide(A,V_3),inverse(
% double_divide(B,V_3)))))
% Current number of equations to process: 558
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [213]
% double_divide(A,inverse(double_divide(inverse(B),inverse(C)))) <->
% double_divide(inverse(C),inverse(double_divide(double_divide(B,V_3),inverse(
% double_divide(A,V_3)))))
% Current number of equations to process: 556
% Current number of ordered equations: 2
% Current number of rules: 106
% New rule produced :
% [214]
% double_divide(inverse(C),inverse(double_divide(double_divide(B,V_3),inverse(
% double_divide(A,V_3)))))
% <-> double_divide(A,inverse(double_divide(inverse(B),inverse(C))))
% Current number of equations to process: 556
% Current number of ordered equations: 1
% Current number of rules: 107
% Rule [213]
% double_divide(A,inverse(double_divide(inverse(B),inverse(C)))) <->
% double_divide(inverse(C),inverse(double_divide(double_divide(B,V_3),
% inverse(double_divide(A,V_3))))) is composed into 
% [213]
% double_divide(A,inverse(double_divide(inverse(B),inverse(C)))) <->
% double_divide(inverse(C),inverse(double_divide(inverse(B),A)))
% Rule [212]
% double_divide(inverse(A),inverse(double_divide(B,inverse(C)))) <->
% double_divide(inverse(C),inverse(double_divide(double_divide(A,V_3),
% inverse(double_divide(B,V_3))))) is composed into 
% [212]
% double_divide(inverse(A),inverse(double_divide(B,inverse(C)))) <->
% double_divide(inverse(C),inverse(double_divide(inverse(A),B)))
% Rule [73]
% double_divide(A,inverse(double_divide(inverse(B),inverse(C)))) <->
% double_divide(inverse(B),inverse(double_divide(double_divide(C,V_3),
% inverse(double_divide(A,V_3))))) is composed into 
% [73]
% double_divide(A,inverse(double_divide(inverse(B),inverse(C)))) <->
% double_divide(inverse(B),inverse(double_divide(inverse(C),A)))
% New rule produced :
% [215]
% double_divide(inverse(A),inverse(double_divide(double_divide(B,V_3),inverse(
% double_divide(C,V_3)))))
% -> double_divide(inverse(A),inverse(double_divide(inverse(B),C)))
% Rule
% [74]
% double_divide(inverse(B),inverse(double_divide(double_divide(C,V_3),inverse(
% double_divide(A,V_3)))))
% <-> double_divide(A,inverse(double_divide(inverse(B),inverse(C)))) collapsed.
% Rule
% [211]
% double_divide(inverse(C),inverse(double_divide(double_divide(A,V_3),inverse(
% double_divide(B,V_3)))))
% <-> double_divide(inverse(A),inverse(double_divide(B,inverse(C)))) collapsed.
% Rule
% [214]
% double_divide(inverse(C),inverse(double_divide(double_divide(B,V_3),inverse(
% double_divide(A,V_3)))))
% <-> double_divide(A,inverse(double_divide(inverse(B),inverse(C)))) collapsed.
% Current number of equations to process: 557
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [216]
% double_divide(A,inverse(double_divide(inverse(V_3),inverse(C)))) <->
% double_divide(inverse(double_divide(A,B)),inverse(double_divide(double_divide(C,B),
% inverse(V_3))))
% Current number of equations to process: 555
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced :
% [217]
% double_divide(inverse(double_divide(A,B)),inverse(double_divide(double_divide(C,B),
% inverse(V_3)))) <->
% double_divide(A,inverse(double_divide(inverse(V_3),inverse(C))))
% Current number of equations to process: 555
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [218]
% double_divide(C,inverse(double_divide(inverse(V_3),inverse(A)))) <->
% double_divide(double_divide(A,B),inverse(double_divide(inverse(double_divide(C,B)),
% inverse(V_3))))
% Current number of equations to process: 554
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced :
% [219]
% double_divide(double_divide(A,B),inverse(double_divide(inverse(double_divide(C,B)),
% inverse(V_3)))) <->
% double_divide(C,inverse(double_divide(inverse(V_3),inverse(A))))
% Current number of equations to process: 554
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [220]
% double_divide(C,inverse(double_divide(inverse(V_3),inverse(A)))) <->
% double_divide(double_divide(A,B),inverse(double_divide(C,inverse(double_divide(
% inverse(V_3),B)))))
% Current number of equations to process: 553
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced :
% [221]
% double_divide(double_divide(A,B),inverse(double_divide(C,inverse(double_divide(
% inverse(V_3),B)))))
% <-> double_divide(C,inverse(double_divide(inverse(V_3),inverse(A))))
% Current number of equations to process: 553
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [222]
% double_divide(C,inverse(double_divide(inverse(V_3),B))) <->
% double_divide(inverse(A),inverse(double_divide(B,inverse(double_divide(C,
% inverse(double_divide(A,
% inverse(V_3))))))))
% Current number of equations to process: 649
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [223]
% double_divide(inverse(A),inverse(double_divide(B,inverse(double_divide(C,
% inverse(double_divide(A,
% inverse(V_3))))))))
% <-> double_divide(C,inverse(double_divide(inverse(V_3),B)))
% Current number of equations to process: 649
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [224]
% double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3)))) <->
% double_divide(inverse(C),inverse(double_divide(A,inverse(double_divide(
% inverse(V_3),
% inverse(B))))))
% Current number of equations to process: 642
% Current number of ordered equations: 1
% Current number of rules: 114
% New rule produced :
% [225]
% double_divide(inverse(C),inverse(double_divide(A,inverse(double_divide(
% inverse(V_3),
% inverse(B)))))) <->
% double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3))))
% Current number of equations to process: 642
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [226]
% double_divide(inverse(A),inverse(double_divide(B,inverse(double_divide(
% inverse(C),V_3)))))
% <->
% double_divide(inverse(double_divide(B,V_3)),inverse(double_divide(inverse(C),
% inverse(A))))
% Current number of equations to process: 637
% Current number of ordered equations: 1
% Current number of rules: 116
% New rule produced :
% [227]
% double_divide(inverse(double_divide(B,V_3)),inverse(double_divide(inverse(C),
% inverse(A)))) <->
% double_divide(inverse(A),inverse(double_divide(B,inverse(double_divide(
% inverse(C),V_3)))))
% Current number of equations to process: 637
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [228]
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(C,
% inverse(V_3))))))
% <->
% double_divide(inverse(B),inverse(double_divide(A,inverse(double_divide(
% inverse(V_3),C)))))
% Current number of equations to process: 636
% Current number of ordered equations: 1
% Current number of rules: 118
% New rule produced :
% [229]
% double_divide(inverse(B),inverse(double_divide(A,inverse(double_divide(
% inverse(V_3),C)))))
% <->
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(C,
% inverse(V_3))))))
% Current number of equations to process: 636
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [230]
% double_divide(inverse(V_3),inverse(double_divide(double_divide(inverse(V_3),
% inverse(B)),C))) <->
% double_divide(inverse(A),inverse(double_divide(double_divide(inverse(B),
% inverse(A)),C)))
% Current number of equations to process: 632
% Current number of ordered equations: 1
% Current number of rules: 120
% New rule produced :
% [231]
% double_divide(inverse(A),inverse(double_divide(double_divide(inverse(B),
% inverse(A)),C))) <->
% double_divide(inverse(V_3),inverse(double_divide(double_divide(inverse(V_3),
% inverse(B)),C)))
% Current number of equations to process: 632
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [232]
% double_divide(A,inverse(double_divide(B,inverse(double_divide(inverse(C),
% inverse(V_3)))))) <->
% double_divide(inverse(V_3),inverse(double_divide(A,inverse(double_divide(B,
% inverse(C))))))
% Current number of equations to process: 631
% Current number of ordered equations: 1
% Current number of rules: 122
% New rule produced :
% [233]
% double_divide(inverse(V_3),inverse(double_divide(A,inverse(double_divide(B,
% inverse(C))))))
% <->
% double_divide(A,inverse(double_divide(B,inverse(double_divide(inverse(C),
% inverse(V_3))))))
% Current number of equations to process: 631
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [234]
% double_divide(c3,inverse(double_divide(inverse(c3),A))) <->
% double_divide(inverse(B),inverse(double_divide(inverse(B),double_divide(
% inverse(B),
% double_divide(B,A)))))
% Current number of equations to process: 628
% Current number of ordered equations: 1
% Current number of rules: 124
% New rule produced :
% [235]
% double_divide(inverse(B),inverse(double_divide(inverse(B),double_divide(
% inverse(B),
% double_divide(B,A)))))
% <-> double_divide(c3,inverse(double_divide(inverse(c3),A)))
% Rule
% [191]
% double_divide(inverse(c3),inverse(double_divide(inverse(c3),double_divide(
% inverse(c3),
% double_divide(c3,C)))))
% <-> double_divide(A,inverse(double_divide(inverse(A),C))) collapsed.
% Current number of equations to process: 628
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [236]
% double_divide(B,inverse(double_divide(V_3,inverse(double_divide(inverse(A),
% inverse(C)))))) <->
% double_divide(inverse(A),inverse(double_divide(B,inverse(double_divide(
% inverse(C),V_3)))))
% Current number of equations to process: 626
% Current number of ordered equations: 1
% Current number of rules: 125
% New rule produced :
% [237]
% double_divide(inverse(A),inverse(double_divide(B,inverse(double_divide(
% inverse(C),V_3)))))
% <->
% double_divide(B,inverse(double_divide(V_3,inverse(double_divide(inverse(A),
% inverse(C))))))
% Current number of equations to process: 626
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [238]
% double_divide(C,inverse(double_divide(A,inverse(double_divide(inverse(V_3),
% inverse(B)))))) <->
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(C,
% inverse(V_3))))))
% Rule
% [88]
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(
% inverse(C),inverse(V_3))))))
% <->
% double_divide(inverse(B),inverse(double_divide(inverse(V_3),inverse(double_divide(A,
% inverse(C))))))
% collapsed.
% Current number of equations to process: 625
% Current number of ordered equations: 1
% Current number of rules: 126
% New rule produced :
% [239]
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(C,
% inverse(V_3))))))
% <->
% double_divide(C,inverse(double_divide(A,inverse(double_divide(inverse(V_3),
% inverse(B))))))
% Current number of equations to process: 644
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [240]
% double_divide(A,inverse(double_divide(inverse(C),inverse(double_divide(
% inverse(V_3),B)))))
% <->
% double_divide(inverse(double_divide(A,B)),inverse(double_divide(inverse(C),
% inverse(V_3))))
% Current number of equations to process: 642
% Current number of ordered equations: 1
% Current number of rules: 128
% New rule produced :
% [241]
% double_divide(inverse(double_divide(A,B)),inverse(double_divide(inverse(C),
% inverse(V_3)))) <->
% double_divide(A,inverse(double_divide(inverse(C),inverse(double_divide(
% inverse(V_3),B)))))
% Current number of equations to process: 642
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [242]
% double_divide(A,inverse(double_divide(inverse(V_3),inverse(double_divide(
% inverse(C),B)))))
% <->
% double_divide(inverse(double_divide(A,B)),inverse(double_divide(inverse(C),
% inverse(V_3))))
% Current number of equations to process: 641
% Current number of ordered equations: 1
% Current number of rules: 130
% New rule produced :
% [243]
% double_divide(inverse(double_divide(A,B)),inverse(double_divide(inverse(C),
% inverse(V_3)))) <->
% double_divide(A,inverse(double_divide(inverse(V_3),inverse(double_divide(
% inverse(C),B)))))
% Current number of equations to process: 641
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [244]
% double_divide(B,inverse(double_divide(inverse(V_3),inverse(double_divide(
% inverse(A),C)))))
% <->
% double_divide(inverse(A),inverse(double_divide(inverse(double_divide(B,C)),
% inverse(V_3))))
% Current number of equations to process: 639
% Current number of ordered equations: 3
% Current number of rules: 132
% New rule produced :
% [245]
% double_divide(B,inverse(double_divide(inverse(A),inverse(double_divide(
% inverse(V_3),C)))))
% <->
% double_divide(inverse(A),inverse(double_divide(inverse(double_divide(B,C)),
% inverse(V_3))))
% Current number of equations to process: 639
% Current number of ordered equations: 2
% Current number of rules: 133
% New rule produced :
% [246]
% double_divide(inverse(A),inverse(double_divide(inverse(double_divide(B,C)),
% inverse(V_3)))) <->
% double_divide(B,inverse(double_divide(inverse(V_3),inverse(double_divide(
% inverse(A),C)))))
% Current number of equations to process: 639
% Current number of ordered equations: 1
% Current number of rules: 134
% New rule produced :
% [247]
% double_divide(inverse(A),inverse(double_divide(inverse(double_divide(B,C)),
% inverse(V_3)))) <->
% double_divide(B,inverse(double_divide(inverse(A),inverse(double_divide(
% inverse(V_3),C)))))
% Current number of equations to process: 639
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [248]
% double_divide(C,inverse(double_divide(inverse(V_3),inverse(double_divide(
% inverse(A),
% inverse(B))))))
% <->
% double_divide(inverse(A),inverse(double_divide(inverse(B),inverse(double_divide(C,
% inverse(V_3))))))
% Current number of equations to process: 623
% Current number of ordered equations: 1
% Current number of rules: 136
% New rule produced :
% [249]
% double_divide(inverse(A),inverse(double_divide(inverse(B),inverse(double_divide(C,
% inverse(V_3))))))
% <->
% double_divide(C,inverse(double_divide(inverse(V_3),inverse(double_divide(
% inverse(A),
% inverse(B))))))
% Current number of equations to process: 623
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [250]
% double_divide(double_divide(c3,A),inverse(double_divide(B,inverse(double_divide(
% inverse(B),A)))))
% -> c3
% Current number of equations to process: 670
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [251]
% double_divide(A,inverse(double_divide(inverse(B),C))) <->
% double_divide(inverse(double_divide(A,C)),inverse(B))
% Rule
% [184]
% double_divide(A,inverse(double_divide(B,inverse(double_divide(inverse(V_3),C)))))
% <->
% double_divide(A,inverse(double_divide(inverse(double_divide(B,C)),inverse(V_3))))
% collapsed.
% Current number of equations to process: 746
% Current number of ordered equations: 1
% Current number of rules: 138
% New rule produced :
% [252]
% double_divide(inverse(double_divide(A,C)),inverse(B)) <->
% double_divide(A,inverse(double_divide(inverse(B),C)))
% Rule
% [185]
% double_divide(A,inverse(double_divide(inverse(double_divide(B,C)),inverse(V_3))))
% <->
% double_divide(A,inverse(double_divide(B,inverse(double_divide(inverse(V_3),C)))))
% collapsed.
% Current number of equations to process: 746
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [253]
% double_divide(inverse(B),inverse(double_divide(inverse(double_divide(
% double_divide(
% inverse(B),C),C)),A)))
% -> inverse(A)
% Current number of equations to process: 746
% Current number of ordered equations: 0
% Current number of rules: 139
% Rule [234]
% double_divide(c3,inverse(double_divide(inverse(c3),A))) <->
% double_divide(inverse(B),inverse(double_divide(inverse(B),double_divide(
% inverse(B),
% double_divide(B,A))))) is composed into 
% [234]
% double_divide(c3,inverse(double_divide(inverse(c3),A))) <->
% double_divide(inverse(B),inverse(double_divide(B,A)))
% Rule [43]
% double_divide(double_divide(A,inverse(A)),B) <->
% double_divide(inverse(C),inverse(double_divide(inverse(C),double_divide(
% inverse(C),
% double_divide(C,B))))) is composed into 
% [43]
% double_divide(double_divide(A,inverse(A)),B) <->
% double_divide(inverse(C),inverse(double_divide(C,B)))
% New rule produced : [254] double_divide(A,double_divide(A,B)) -> B
% Rule
% [157]
% double_divide(inverse(A),inverse(double_divide(inverse(A),double_divide(
% inverse(A),
% double_divide(A,
% inverse(B)))))) ->
% B collapsed.
% Rule
% [202]
% double_divide(inverse(double_divide(A,double_divide(A,B))),inverse(C)) ->
% double_divide(inverse(B),inverse(C)) collapsed.
% Rule
% [235]
% double_divide(inverse(B),inverse(double_divide(inverse(B),double_divide(
% inverse(B),
% double_divide(B,A)))))
% <-> double_divide(c3,inverse(double_divide(inverse(c3),A))) collapsed.
% Current number of equations to process: 820
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced : [255] double_divide(A,double_divide(B,A)) -> B
% Current number of equations to process: 821
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [256]
% double_divide(A,double_divide(B,C)) <->
% double_divide(inverse(B),inverse(double_divide(A,inverse(C))))
% Rule
% [166]
% double_divide(inverse(double_divide(A,B)),double_divide(A,inverse(double_divide(
% inverse(C),B))))
% -> inverse(C) collapsed.
% Current number of equations to process: 828
% Current number of ordered equations: 1
% Current number of rules: 138
% Rule [163]
% double_divide(inverse(A),inverse(B)) <->
% double_divide(inverse(B),inverse(double_divide(inverse(A),inverse(
% double_divide(c3,
% inverse(c3)))))) is composed into 
% [163]
% double_divide(inverse(A),inverse(B)) <->
% double_divide(inverse(B),inverse(double_divide(c3,double_divide(A,c3))))
% New rule produced :
% [257]
% double_divide(inverse(B),inverse(double_divide(A,inverse(C)))) <->
% double_divide(A,double_divide(B,C))
% Current number of equations to process: 828
% Current number of ordered equations: 0
% Current number of rules: 139
% Rule [237]
% double_divide(inverse(A),inverse(double_divide(B,inverse(double_divide(
% inverse(C),V_3)))))
% <->
% double_divide(B,inverse(double_divide(V_3,inverse(double_divide(
% inverse(A),inverse(C)))))) is composed into 
% [237]
% double_divide(inverse(A),inverse(double_divide(B,inverse(double_divide(
% inverse(C),V_3)))))
% <-> double_divide(B,inverse(double_divide(V_3,double_divide(A,C))))
% Rule [233]
% double_divide(inverse(V_3),inverse(double_divide(A,inverse(double_divide(B,
% inverse(C))))))
% <->
% double_divide(A,inverse(double_divide(B,inverse(double_divide(inverse(C),
% inverse(V_3)))))) is composed into 
% [233]
% double_divide(inverse(V_3),inverse(double_divide(A,inverse(double_divide(B,
% inverse(C))))))
% <-> double_divide(A,inverse(double_divide(B,double_divide(C,V_3))))
% Rule [229]
% double_divide(inverse(B),inverse(double_divide(A,inverse(double_divide(
% inverse(V_3),C)))))
% <->
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(C,
% inverse(V_3)))))) is composed into 
% [229]
% double_divide(inverse(B),inverse(double_divide(A,inverse(double_divide(
% inverse(V_3),C)))))
% <-> double_divide(A,double_divide(B,double_divide(C,inverse(V_3))))
% Rule [226]
% double_divide(inverse(A),inverse(double_divide(B,inverse(double_divide(
% inverse(C),V_3)))))
% <->
% double_divide(inverse(double_divide(B,V_3)),inverse(double_divide(
% inverse(C),inverse(A)))) is composed into 
% [226]
% double_divide(inverse(A),inverse(double_divide(B,inverse(double_divide(
% inverse(C),V_3)))))
% <-> double_divide(inverse(double_divide(B,V_3)),double_divide(C,A))
% Rule [224]
% double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3))))
% <->
% double_divide(inverse(C),inverse(double_divide(A,inverse(double_divide(
% inverse(V_3),
% inverse(B)))))) is composed into 
% [224]
% double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3)))) <->
% double_divide(inverse(C),inverse(double_divide(A,double_divide(V_3,B))))
% Rule [221]
% double_divide(double_divide(A,B),inverse(double_divide(C,inverse(
% double_divide(
% inverse(V_3),B)))))
% <-> double_divide(C,inverse(double_divide(inverse(V_3),inverse(A)))) is composed into 
% [221]
% double_divide(double_divide(A,B),inverse(double_divide(C,inverse(double_divide(
% inverse(V_3),B)))))
% <-> double_divide(C,double_divide(V_3,A))
% Rule [217]
% double_divide(inverse(double_divide(A,B)),inverse(double_divide(
% double_divide(C,B),
% inverse(V_3)))) <->
% double_divide(A,inverse(double_divide(inverse(V_3),inverse(C)))) is composed into 
% [217]
% double_divide(inverse(double_divide(A,B)),inverse(double_divide(double_divide(C,B),
% inverse(V_3)))) <->
% double_divide(A,double_divide(V_3,C))
% Rule [206]
% double_divide(A,inverse(double_divide(B,inverse(double_divide(C,
% inverse(V_3)))))) <->
% double_divide(B,inverse(double_divide(inverse(V_3),inverse(double_divide(C,A))))) is composed into 
% [206]
% double_divide(A,inverse(double_divide(B,inverse(double_divide(C,inverse(V_3))))))
% <-> double_divide(B,double_divide(V_3,double_divide(C,A)))
% Rule [205]
% double_divide(inverse(A),double_divide(B,C)) <->
% double_divide(inverse(C),inverse(double_divide(inverse(A),inverse(B)))) is composed into 
% [205]
% double_divide(inverse(A),double_divide(B,C)) <->
% double_divide(inverse(C),double_divide(A,B))
% Rule [193]
% double_divide(double_divide(inverse(A),C),inverse(V_3)) ->
% double_divide(A,inverse(double_divide(inverse(C),inverse(V_3)))) is composed into 
% [193]
% double_divide(double_divide(inverse(A),C),inverse(V_3)) ->
% double_divide(A,double_divide(C,V_3))
% Rule [179]
% double_divide(double_divide(inverse(A),C),V_3) <->
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(
% double_divide(
% inverse(B),C),V_3))))) is composed into 
% [179]
% double_divide(double_divide(inverse(A),C),V_3) <->
% double_divide(A,double_divide(B,double_divide(double_divide(inverse(B),C),V_3)))
% Rule [175]
% double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3))))
% <->
% double_divide(A,inverse(double_divide(inverse(C),inverse(double_divide(
% inverse(V_3),
% inverse(B)))))) is composed into 
% [175]
% double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3)))) <->
% double_divide(A,inverse(double_divide(inverse(C),double_divide(V_3,B))))
% Rule [172]
% double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3))))
% <->
% double_divide(inverse(B),inverse(double_divide(A,inverse(double_divide(
% inverse(C),
% inverse(V_3)))))) is composed into 
% [172]
% double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3)))) <->
% double_divide(inverse(B),inverse(double_divide(A,double_divide(C,V_3))))
% Rule [165]
% double_divide(inverse(double_divide(A,B)),inverse(double_divide(
% inverse(C),V_3))) <->
% double_divide(A,inverse(double_divide(inverse(c3),inverse(double_divide(
% inverse(
% double_divide(c3,B)),
% inverse(
% double_divide(
% inverse(C),V_3))))))) is composed into 
% [165]
% double_divide(inverse(double_divide(A,B)),inverse(double_divide(inverse(C),V_3)))
% <->
% double_divide(A,inverse(double_divide(inverse(c3),double_divide(double_divide(c3,B),
% double_divide(inverse(C),V_3)))))
% Rule [160]
% double_divide(C,inverse(B)) <->
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(C,
% inverse(A)))))) is composed into 
% [160]
% double_divide(C,inverse(B)) <->
% double_divide(A,double_divide(B,double_divide(C,inverse(A))))
% Rule [158]
% double_divide(double_divide(A,B),inverse(C)) <->
% double_divide(inverse(A),inverse(double_divide(inverse(C),inverse(B)))) is composed into 
% [158]
% double_divide(double_divide(A,B),inverse(C)) <->
% double_divide(inverse(A),double_divide(C,B))
% Rule [153]
% double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3))))
% <->
% double_divide(inverse(V_3),inverse(double_divide(inverse(B),inverse(
% double_divide(A,
% inverse(C)))))) is composed into 
% [153]
% double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3)))) <->
% double_divide(inverse(V_3),double_divide(B,double_divide(A,inverse(C))))
% Rule [150]
% double_divide(double_divide(C,B),inverse(A)) <->
% double_divide(inverse(A),inverse(double_divide(inverse(B),inverse(C)))) is composed into 
% [150]
% double_divide(double_divide(C,B),inverse(A)) <->
% double_divide(inverse(A),double_divide(B,C))
% Rule [120]
% double_divide(inverse(C),B) <->
% double_divide(inverse(A),inverse(double_divide(inverse(double_divide(A,B)),
% inverse(C)))) is composed into 
% [120]
% double_divide(inverse(C),B) <->
% double_divide(inverse(A),double_divide(double_divide(A,B),C))
% Rule [97]
% double_divide(inverse(double_divide(inverse(B),C)),V_3) <->
% double_divide(inverse(A),inverse(double_divide(inverse(double_divide(A,C)),
% inverse(double_divide(inverse(B),V_3))))) is composed into 
% [97]
% double_divide(inverse(double_divide(inverse(B),C)),V_3) <->
% double_divide(inverse(A),double_divide(double_divide(A,C),double_divide(
% inverse(B),V_3)))
% Rule [72]
% double_divide(double_divide(V_3,B),inverse(C)) <->
% double_divide(inverse(B),inverse(double_divide(inverse(C),inverse(V_3)))) is composed into 
% [72]
% double_divide(double_divide(V_3,B),inverse(C)) <->
% double_divide(inverse(B),double_divide(C,V_3))
% Rule [58]
% double_divide(inverse(A),B) <->
% double_divide(inverse(C),inverse(double_divide(inverse(double_divide(C,B)),
% inverse(A)))) is composed into 
% [58]
% double_divide(inverse(A),B) <->
% double_divide(inverse(C),double_divide(double_divide(C,B),A))
% New rule produced :
% [258] inverse(double_divide(inverse(A),inverse(B))) -> double_divide(A,B)
% Rule [15] double_divide(A,inverse(double_divide(inverse(B),inverse(A)))) -> B
% collapsed.
% Rule [45] double_divide(B,inverse(double_divide(inverse(B),inverse(A)))) -> A
% collapsed.
% Rule
% [46]
% double_divide(A,inverse(double_divide(inverse(B),inverse(C)))) <->
% double_divide(inverse(C),inverse(double_divide(A,inverse(B)))) collapsed.
% Rule
% [73]
% double_divide(A,inverse(double_divide(inverse(B),inverse(C)))) <->
% double_divide(inverse(B),inverse(double_divide(inverse(C),A))) collapsed.
% Rule
% [77]
% double_divide(C,inverse(double_divide(inverse(A),inverse(double_divide(
% inverse(B),V_3)))))
% <->
% double_divide(inverse(A),inverse(double_divide(inverse(B),inverse(double_divide(C,V_3)))))
% collapsed.
% Rule
% [78]
% double_divide(inverse(A),inverse(double_divide(inverse(B),inverse(double_divide(C,V_3)))))
% <->
% double_divide(C,inverse(double_divide(inverse(A),inverse(double_divide(
% inverse(B),V_3)))))
% collapsed.
% Rule
% [99]
% double_divide(inverse(A),inverse(double_divide(inverse(double_divide(A,C)),
% inverse(double_divide(inverse(B),V_3)))))
% <->
% double_divide(inverse(c3),inverse(double_divide(inverse(double_divide(c3,C)),
% inverse(double_divide(inverse(B),V_3)))))
% collapsed.
% Rule
% [100]
% double_divide(inverse(c3),inverse(double_divide(inverse(double_divide(c3,C)),
% inverse(double_divide(inverse(B),V_3)))))
% <->
% double_divide(inverse(A),inverse(double_divide(inverse(double_divide(A,C)),
% inverse(double_divide(inverse(B),V_3)))))
% collapsed.
% Rule
% [121]
% double_divide(inverse(A),inverse(double_divide(inverse(double_divide(A,B)),
% inverse(C)))) <->
% double_divide(inverse(C),B) collapsed.
% Rule
% [146]
% double_divide(A,inverse(double_divide(B,inverse(double_divide(inverse(C),
% inverse(A)))))) ->
% double_divide(B,inverse(C)) collapsed.
% Rule
% [149]
% double_divide(inverse(A),inverse(double_divide(inverse(B),inverse(C)))) <->
% double_divide(double_divide(C,B),inverse(A)) collapsed.
% Rule
% [159]
% double_divide(inverse(A),inverse(double_divide(inverse(C),inverse(B)))) <->
% double_divide(double_divide(A,B),inverse(C)) collapsed.
% Rule
% [161]
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(C,
% inverse(A)))))) <->
% double_divide(C,inverse(B)) collapsed.
% Rule
% [164]
% double_divide(A,inverse(double_divide(inverse(c3),inverse(double_divide(
% inverse(double_divide(c3,B)),
% inverse(double_divide(
% inverse(C),V_3)))))))
% <->
% double_divide(inverse(double_divide(A,B)),inverse(double_divide(inverse(C),V_3)))
% collapsed.
% Rule
% [173]
% double_divide(inverse(A),inverse(double_divide(inverse(B),inverse(double_divide(
% inverse(
% double_divide(A,B)),
% inverse(C))))))
% -> C collapsed.
% Rule
% [178]
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(
% double_divide(
% inverse(B),C),V_3)))))
% <-> double_divide(double_divide(inverse(A),C),V_3) collapsed.
% Rule
% [180]
% double_divide(C,inverse(double_divide(inverse(B),inverse(double_divide(A,
% inverse(V_3))))))
% <->
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(C,
% inverse(V_3))))))
% collapsed.
% Rule
% [192]
% double_divide(inverse(A),inverse(double_divide(B,inverse(double_divide(
% inverse(C),inverse(
% double_divide(A,V_3)))))))
% -> double_divide(B,inverse(double_divide(inverse(C),V_3))) collapsed.
% Rule
% [203]
% double_divide(inverse(B),inverse(double_divide(inverse(C),inverse(double_divide(
% inverse(
% double_divide(C,B)),
% inverse(A))))))
% -> A collapsed.
% Rule
% [204]
% double_divide(inverse(C),inverse(double_divide(inverse(A),inverse(B)))) <->
% double_divide(inverse(A),double_divide(B,C)) collapsed.
% Rule
% [207]
% double_divide(B,inverse(double_divide(inverse(V_3),inverse(double_divide(C,A)))))
% <->
% double_divide(A,inverse(double_divide(B,inverse(double_divide(C,inverse(V_3))))))
% collapsed.
% Rule
% [213]
% double_divide(A,inverse(double_divide(inverse(B),inverse(C)))) <->
% double_divide(inverse(C),inverse(double_divide(inverse(B),A))) collapsed.
% Rule
% [216]
% double_divide(A,inverse(double_divide(inverse(V_3),inverse(C)))) <->
% double_divide(inverse(double_divide(A,B)),inverse(double_divide(double_divide(C,B),
% inverse(V_3)))) collapsed.
% Rule
% [218]
% double_divide(C,inverse(double_divide(inverse(V_3),inverse(A)))) <->
% double_divide(double_divide(A,B),inverse(double_divide(inverse(double_divide(C,B)),
% inverse(V_3)))) collapsed.
% Rule
% [219]
% double_divide(double_divide(A,B),inverse(double_divide(inverse(double_divide(C,B)),
% inverse(V_3)))) <->
% double_divide(C,inverse(double_divide(inverse(V_3),inverse(A)))) collapsed.
% Rule
% [220]
% double_divide(C,inverse(double_divide(inverse(V_3),inverse(A)))) <->
% double_divide(double_divide(A,B),inverse(double_divide(C,inverse(double_divide(
% inverse(V_3),B)))))
% collapsed.
% Rule
% [225]
% double_divide(inverse(C),inverse(double_divide(A,inverse(double_divide(
% inverse(V_3),
% inverse(B)))))) <->
% double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3))))
% collapsed.
% Rule
% [227]
% double_divide(inverse(double_divide(B,V_3)),inverse(double_divide(inverse(C),
% inverse(A)))) <->
% double_divide(inverse(A),inverse(double_divide(B,inverse(double_divide(
% inverse(C),V_3)))))
% collapsed.
% Rule
% [228]
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(C,
% inverse(V_3))))))
% <->
% double_divide(inverse(B),inverse(double_divide(A,inverse(double_divide(
% inverse(V_3),C)))))
% collapsed.
% Rule
% [232]
% double_divide(A,inverse(double_divide(B,inverse(double_divide(inverse(C),
% inverse(V_3)))))) <->
% double_divide(inverse(V_3),inverse(double_divide(A,inverse(double_divide(B,
% inverse(C))))))
% collapsed.
% Rule
% [236]
% double_divide(B,inverse(double_divide(V_3,inverse(double_divide(inverse(A),
% inverse(C)))))) <->
% double_divide(inverse(A),inverse(double_divide(B,inverse(double_divide(
% inverse(C),V_3)))))
% collapsed.
% Rule
% [238]
% double_divide(C,inverse(double_divide(A,inverse(double_divide(inverse(V_3),
% inverse(B)))))) <->
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(C,
% inverse(V_3))))))
% collapsed.
% Rule
% [239]
% double_divide(A,inverse(double_divide(inverse(B),inverse(double_divide(C,
% inverse(V_3))))))
% <->
% double_divide(C,inverse(double_divide(A,inverse(double_divide(inverse(V_3),
% inverse(B)))))) collapsed.
% Rule
% [240]
% double_divide(A,inverse(double_divide(inverse(C),inverse(double_divide(
% inverse(V_3),B)))))
% <->
% double_divide(inverse(double_divide(A,B)),inverse(double_divide(inverse(C),
% inverse(V_3)))) collapsed.
% Rule
% [241]
% double_divide(inverse(double_divide(A,B)),inverse(double_divide(inverse(C),
% inverse(V_3)))) <->
% double_divide(A,inverse(double_divide(inverse(C),inverse(double_divide(
% inverse(V_3),B)))))
% collapsed.
% Rule
% [242]
% double_divide(A,inverse(double_divide(inverse(V_3),inverse(double_divide(
% inverse(C),B)))))
% <->
% double_divide(inverse(double_divide(A,B)),inverse(double_divide(inverse(C),
% inverse(V_3)))) collapsed.
% Rule
% [243]
% double_divide(inverse(double_divide(A,B)),inverse(double_divide(inverse(C),
% inverse(V_3)))) <->
% double_divide(A,inverse(double_divide(inverse(V_3),inverse(double_divide(
% inverse(C),B)))))
% collapsed.
% Rule
% [244]
% double_divide(B,inverse(double_divide(inverse(V_3),inverse(double_divide(
% inverse(A),C)))))
% <->
% double_divide(inverse(A),inverse(double_divide(inverse(double_divide(B,C)),
% inverse(V_3)))) collapsed.
% Rule
% [245]
% double_divide(B,inverse(double_divide(inverse(A),inverse(double_divide(
% inverse(V_3),C)))))
% <->
% double_divide(inverse(A),inverse(double_divide(inverse(double_divide(B,C)),
% inverse(V_3)))) collapsed.
% Rule
% [246]
% double_divide(inverse(A),inverse(double_divide(inverse(double_divide(B,C)),
% inverse(V_3)))) <->
% double_divide(B,inverse(double_divide(inverse(V_3),inverse(double_divide(
% inverse(A),C)))))
% collapsed.
% Rule
% [247]
% double_divide(inverse(A),inverse(double_divide(inverse(double_divide(B,C)),
% inverse(V_3)))) <->
% double_divide(B,inverse(double_divide(inverse(A),inverse(double_divide(
% inverse(V_3),C)))))
% collapsed.
% Rule
% [248]
% double_divide(C,inverse(double_divide(inverse(V_3),inverse(double_divide(
% inverse(A),
% inverse(B))))))
% <->
% double_divide(inverse(A),inverse(double_divide(inverse(B),inverse(double_divide(C,
% inverse(V_3))))))
% collapsed.
% Rule
% [249]
% double_divide(inverse(A),inverse(double_divide(inverse(B),inverse(double_divide(C,
% inverse(V_3))))))
% <->
% double_divide(C,inverse(double_divide(inverse(V_3),inverse(double_divide(
% inverse(A),
% inverse(B))))))
% collapsed.
% Current number of equations to process: 861
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [259]
% double_divide(A,inverse(double_divide(B,double_divide(C,A)))) ->
% double_divide(B,inverse(C))
% Rule
% [141]
% double_divide(inverse(C),inverse(double_divide(A,double_divide(B,inverse(C)))))
% -> double_divide(A,inverse(B)) collapsed.
% Current number of equations to process: 856
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [260]
% double_divide(A,double_divide(B,C)) <->
% double_divide(inverse(C),inverse(double_divide(A,inverse(B))))
% Current number of equations to process: 854
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [261]
% double_divide(inverse(C),inverse(double_divide(A,inverse(B)))) <->
% double_divide(A,double_divide(B,C))
% Current number of equations to process: 854
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [262]
% double_divide(A,double_divide(B,C)) <->
% double_divide(inverse(B),inverse(double_divide(inverse(C),A)))
% Current number of equations to process: 853
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [263]
% double_divide(inverse(B),inverse(double_divide(inverse(C),A))) <->
% double_divide(A,double_divide(B,C))
% Current number of equations to process: 853
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [264]
% double_divide(A,double_divide(B,C)) <->
% double_divide(inverse(C),inverse(double_divide(inverse(B),A)))
% Current number of equations to process: 852
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [265]
% double_divide(inverse(C),inverse(double_divide(inverse(B),A))) <->
% double_divide(A,double_divide(B,C))
% Current number of equations to process: 852
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [266]
% double_divide(C,inverse(C)) <->
% double_divide(inverse(B),inverse(double_divide(double_divide(A,inverse(B)),A)))
% Current number of equations to process: 861
% Current number of ordered equations: 1
% Current number of rules: 104
% Rule [266]
% double_divide(C,inverse(C)) <->
% double_divide(inverse(B),inverse(double_divide(double_divide(A,inverse(B)),A))) is composed into 
% [266] double_divide(C,inverse(C)) <-> double_divide(c3,inverse(c3))
% New rule produced :
% [267]
% double_divide(inverse(B),inverse(double_divide(double_divide(A,inverse(B)),A)))
% <-> double_divide(C,inverse(C))
% Current number of equations to process: 861
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [268]
% double_divide(C,double_divide(B,A)) <->
% double_divide(inverse(A),double_divide(B,inverse(C)))
% Current number of equations to process: 860
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced :
% [269]
% double_divide(inverse(A),double_divide(B,inverse(C))) <->
% double_divide(C,double_divide(B,A))
% Current number of equations to process: 860
% Current number of ordered equations: 0
% Current number of rules: 107
% Rule [264]
% double_divide(A,double_divide(B,C)) <->
% double_divide(inverse(C),inverse(double_divide(inverse(B),A))) is composed into 
% [264]
% double_divide(A,double_divide(B,C)) <->
% double_divide(inverse(C),double_divide(B,inverse(A)))
% Rule [262]
% double_divide(A,double_divide(B,C)) <->
% double_divide(inverse(B),inverse(double_divide(inverse(C),A))) is composed into 
% [262]
% double_divide(A,double_divide(B,C)) <->
% double_divide(inverse(B),double_divide(C,inverse(A)))
% Rule [252]
% double_divide(inverse(double_divide(A,C)),inverse(B)) <->
% double_divide(A,inverse(double_divide(inverse(B),C))) is composed into 
% [252]
% double_divide(inverse(double_divide(A,C)),inverse(B)) <->
% double_divide(A,double_divide(B,inverse(C)))
% Rule [223]
% double_divide(inverse(A),inverse(double_divide(B,inverse(double_divide(C,
% inverse(
% double_divide(A,
% inverse(V_3))))))))
% <-> double_divide(C,inverse(double_divide(inverse(V_3),B))) is composed into 
% [223]
% double_divide(inverse(A),inverse(double_divide(B,inverse(double_divide(C,
% inverse(double_divide(A,
% inverse(V_3))))))))
% <-> double_divide(C,double_divide(V_3,inverse(B)))
% Rule [215]
% double_divide(inverse(A),inverse(double_divide(double_divide(B,V_3),
% inverse(double_divide(C,V_3))))) ->
% double_divide(inverse(A),inverse(double_divide(inverse(B),C))) is composed into 
% [215]
% double_divide(inverse(A),inverse(double_divide(double_divide(B,V_3),inverse(
% double_divide(C,V_3)))))
% -> double_divide(inverse(A),double_divide(B,inverse(C)))
% Rule [212]
% double_divide(inverse(A),inverse(double_divide(B,inverse(C)))) <->
% double_divide(inverse(C),inverse(double_divide(inverse(A),B))) is composed into 
% [212]
% double_divide(inverse(A),inverse(double_divide(B,inverse(C)))) <->
% double_divide(inverse(C),double_divide(A,inverse(B)))
% Rule [199]
% double_divide(inverse(A),inverse(double_divide(B,inverse(C)))) <->
% double_divide(inverse(C),inverse(double_divide(inverse(A),B))) is composed into 
% [199]
% double_divide(inverse(A),inverse(double_divide(B,inverse(C)))) <->
% double_divide(inverse(C),double_divide(A,inverse(B)))
% Rule [196]
% double_divide(inverse(C),inverse(B)) <->
% double_divide(inverse(A),inverse(double_divide(inverse(B),double_divide(
% inverse(A),C)))) is composed into 
% [196]
% double_divide(inverse(C),inverse(B)) <->
% double_divide(inverse(A),double_divide(B,double_divide(A,inverse(C))))
% Rule [175]
% double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3))))
% <->
% double_divide(A,inverse(double_divide(inverse(C),double_divide(V_3,B)))) is composed into 
% [175]
% double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3)))) <->
% double_divide(A,double_divide(C,inverse(double_divide(V_3,B))))
% Rule [155]
% double_divide(A,inverse(double_divide(B,inverse(C)))) <->
% double_divide(B,inverse(double_divide(inverse(C),A))) is composed into 
% [155]
% double_divide(A,inverse(double_divide(B,inverse(C)))) <->
% double_divide(B,double_divide(C,inverse(A)))
% Rule [127]
% double_divide(C,inverse(B)) <->
% double_divide(A,inverse(double_divide(inverse(B),double_divide(A,
% inverse(C))))) is composed into 
% [127]
% double_divide(C,inverse(B)) <->
% double_divide(A,double_divide(B,inverse(double_divide(A,inverse(C)))))
% Rule [116]
% double_divide(inverse(double_divide(A,inverse(B))),C) ->
% double_divide(A,inverse(double_divide(inverse(B),C))) is composed into 
% [116]
% double_divide(inverse(double_divide(A,inverse(B))),C) ->
% double_divide(A,double_divide(B,inverse(C)))
% Rule [61]
% double_divide(inverse(C),inverse(double_divide(A,inverse(double_divide(B,V_3)))))
% <->
% double_divide(A,inverse(double_divide(B,inverse(double_divide(inverse(C),V_3))))) is composed into 
% [61]
% double_divide(inverse(C),inverse(double_divide(A,inverse(double_divide(B,V_3)))))
% <-> double_divide(A,inverse(double_divide(B,double_divide(C,inverse(V_3)))))
% New rule produced :
% [270] inverse(double_divide(inverse(A),B)) -> double_divide(A,inverse(B))
% Rule
% [60]
% double_divide(A,inverse(double_divide(B,inverse(double_divide(inverse(C),V_3)))))
% <->
% double_divide(inverse(C),inverse(double_divide(A,inverse(double_divide(B,V_3)))))
% collapsed.
% Rule
% [65]
% double_divide(inverse(A),inverse(double_divide(B,inverse(double_divide(
% inverse(B),C))))) ->
% double_divide(inverse(A),C) collapsed.
% Rule
% [97]
% double_divide(inverse(double_divide(inverse(B),C)),V_3) <->
% double_divide(inverse(A),double_divide(double_divide(A,C),double_divide(
% inverse(B),V_3)))
% collapsed.
% Rule
% [108]
% double_divide(C,inverse(double_divide(A,inverse(double_divide(inverse(V_3),B)))))
% <->
% double_divide(inverse(double_divide(A,B)),inverse(double_divide(C,inverse(V_3))))
% collapsed.
% Rule
% [140]
% double_divide(A,inverse(double_divide(B,inverse(double_divide(inverse(A),C)))))
% -> double_divide(B,C) collapsed.
% Rule
% [142]
% double_divide(inverse(C),inverse(double_divide(A,inverse(double_divide(
% inverse(B),C))))) ->
% double_divide(A,inverse(B)) collapsed.
% Rule
% [156]
% double_divide(B,inverse(double_divide(inverse(C),A))) <->
% double_divide(A,inverse(double_divide(B,inverse(C)))) collapsed.
% Rule
% [165]
% double_divide(inverse(double_divide(A,B)),inverse(double_divide(inverse(C),V_3)))
% <->
% double_divide(A,inverse(double_divide(inverse(c3),double_divide(double_divide(c3,B),
% double_divide(inverse(C),V_3)))))
% collapsed.
% Rule
% [188]
% double_divide(C,inverse(double_divide(inverse(C),B))) <->
% double_divide(A,inverse(double_divide(inverse(A),B))) collapsed.
% Rule
% [189]
% double_divide(A,inverse(double_divide(B,inverse(double_divide(C,inverse(
% double_divide(
% inverse(A),V_3)))))))
% -> double_divide(B,inverse(double_divide(C,V_3))) collapsed.
% Rule
% [190]
% double_divide(A,inverse(double_divide(inverse(A),C))) <->
% double_divide(c3,inverse(double_divide(inverse(c3),C))) collapsed.
% Rule
% [197]
% double_divide(inverse(A),inverse(double_divide(inverse(B),double_divide(
% inverse(A),C))))
% <-> double_divide(inverse(C),inverse(B)) collapsed.
% Rule
% [198]
% double_divide(inverse(C),inverse(double_divide(inverse(A),B))) <->
% double_divide(inverse(A),inverse(double_divide(B,inverse(C)))) collapsed.
% Rule
% [200]
% double_divide(V_3,inverse(double_divide(B,inverse(double_divide(inverse(A),C)))))
% <->
% double_divide(inverse(A),inverse(double_divide(inverse(double_divide(B,C)),V_3)))
% collapsed.
% Rule
% [201]
% double_divide(inverse(A),inverse(double_divide(inverse(double_divide(B,C)),V_3)))
% <->
% double_divide(V_3,inverse(double_divide(B,inverse(double_divide(inverse(A),C)))))
% collapsed.
% Rule
% [221]
% double_divide(double_divide(A,B),inverse(double_divide(C,inverse(double_divide(
% inverse(V_3),B)))))
% <-> double_divide(C,double_divide(V_3,A)) collapsed.
% Rule
% [222]
% double_divide(C,inverse(double_divide(inverse(V_3),B))) <->
% double_divide(inverse(A),inverse(double_divide(B,inverse(double_divide(C,
% inverse(double_divide(A,
% inverse(V_3))))))))
% collapsed.
% Rule
% [226]
% double_divide(inverse(A),inverse(double_divide(B,inverse(double_divide(
% inverse(C),V_3)))))
% <-> double_divide(inverse(double_divide(B,V_3)),double_divide(C,A))
% collapsed.
% Rule
% [229]
% double_divide(inverse(B),inverse(double_divide(A,inverse(double_divide(
% inverse(V_3),C)))))
% <-> double_divide(A,double_divide(B,double_divide(C,inverse(V_3))))
% collapsed.
% Rule
% [234]
% double_divide(c3,inverse(double_divide(inverse(c3),A))) <->
% double_divide(inverse(B),inverse(double_divide(B,A))) collapsed.
% Rule
% [237]
% double_divide(inverse(A),inverse(double_divide(B,inverse(double_divide(
% inverse(C),V_3)))))
% <-> double_divide(B,inverse(double_divide(V_3,double_divide(A,C))))
% collapsed.
% Rule
% [250]
% double_divide(double_divide(c3,A),inverse(double_divide(B,inverse(double_divide(
% inverse(B),A)))))
% -> c3 collapsed.
% Rule
% [251]
% double_divide(A,inverse(double_divide(inverse(B),C))) <->
% double_divide(inverse(double_divide(A,C)),inverse(B)) collapsed.
% Rule
% [253]
% double_divide(inverse(B),inverse(double_divide(inverse(double_divide(
% double_divide(
% inverse(B),C),C)),A)))
% -> inverse(A) collapsed.
% Rule
% [258] inverse(double_divide(inverse(A),inverse(B))) -> double_divide(A,B)
% collapsed.
% Rule
% [263]
% double_divide(inverse(B),inverse(double_divide(inverse(C),A))) <->
% double_divide(A,double_divide(B,C)) collapsed.
% Rule
% [265]
% double_divide(inverse(C),inverse(double_divide(inverse(B),A))) <->
% double_divide(A,double_divide(B,C)) collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% inverse(double_divide(c3,inverse(double_divide(b3,a3)))) = double_divide(c3,
% double_divide(a3,
% double_divide(
% inverse(c3),
% double_divide(c3,b3))))
% 
% Current number of equations to process: 879
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [271]
% double_divide(C,double_divide(B,inverse(A))) <->
% double_divide(A,double_divide(B,inverse(C)))
% Current number of equations to process: 875
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [272]
% double_divide(A,inverse(double_divide(B,double_divide(A,inverse(C))))) ->
% double_divide(B,C)
% Current number of equations to process: 874
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [273]
% double_divide(A,inverse(double_divide(B,C))) <->
% double_divide(B,inverse(double_divide(C,A)))
% Current number of equations to process: 875
% Current number of ordered equations: 1
% Current number of rules: 84
% Rule [209]
% double_divide(A,inverse(B)) <->
% double_divide(double_divide(B,C),inverse(double_divide(A,C))) is composed into 
% [209]
% double_divide(A,inverse(B)) <->
% double_divide(C,inverse(double_divide(double_divide(B,C),A)))
% New rule produced :
% [274]
% double_divide(B,inverse(double_divide(C,A))) <->
% double_divide(A,inverse(double_divide(B,C)))
% Rule
% [139] double_divide(inverse(C),inverse(double_divide(A,C))) -> inverse(A)
% collapsed.
% Rule
% [210]
% double_divide(double_divide(B,C),inverse(double_divide(A,C))) <->
% double_divide(A,inverse(B)) collapsed.
% Rule
% [215]
% double_divide(inverse(A),inverse(double_divide(double_divide(B,V_3),inverse(
% double_divide(C,V_3)))))
% -> double_divide(inverse(A),double_divide(B,inverse(C))) collapsed.
% Rule
% [267]
% double_divide(inverse(B),inverse(double_divide(double_divide(A,inverse(B)),A)))
% <-> double_divide(C,inverse(C)) collapsed.
% Current number of equations to process: 877
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [275]
% double_divide(C,inverse(double_divide(B,inverse(A)))) <->
% double_divide(double_divide(A,inverse(B)),C)
% Current number of equations to process: 876
% Current number of ordered equations: 1
% Current number of rules: 82
% New rule produced :
% [276]
% double_divide(double_divide(A,inverse(B)),C) <->
% double_divide(C,inverse(double_divide(B,inverse(A))))
% Current number of equations to process: 876
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [277]
% inverse(double_divide(C,B)) <->
% double_divide(inverse(A),double_divide(B,double_divide(A,inverse(C))))
% Rule
% [181]
% double_divide(inverse(B),inverse(double_divide(A,inverse(double_divide(
% double_divide(
% inverse(B),C),C)))))
% -> inverse(A) collapsed.
% Rule
% [208]
% double_divide(inverse(A),inverse(double_divide(double_divide(B,C),C))) ->
% double_divide(inverse(A),inverse(B)) collapsed.
% Current number of equations to process: 889
% Current number of ordered equations: 1
% Current number of rules: 82
% New rule produced :
% [278]
% double_divide(inverse(A),double_divide(B,double_divide(A,inverse(C)))) <->
% inverse(double_divide(C,B))
% Current number of equations to process: 889
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [279]
% double_divide(inverse(A),double_divide(double_divide(A,inverse(B)),C)) ->
% inverse(double_divide(B,C))
% Current number of equations to process: 888
% Current number of ordered equations: 0
% Current number of rules: 84
% Rule [260]
% double_divide(A,double_divide(B,C)) <->
% double_divide(inverse(C),inverse(double_divide(A,inverse(B)))) is composed into 
% [260]
% double_divide(A,double_divide(B,C)) <->
% inverse(double_divide(C,double_divide(A,inverse(B))))
% Rule [256]
% double_divide(A,double_divide(B,C)) <->
% double_divide(inverse(B),inverse(double_divide(A,inverse(C)))) is composed into 
% [256]
% double_divide(A,double_divide(B,C)) <->
% inverse(double_divide(B,double_divide(A,inverse(C))))
% Rule [224]
% double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3))))
% <->
% double_divide(inverse(C),inverse(double_divide(A,double_divide(V_3,B)))) is composed into 
% [224]
% double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3)))) <->
% inverse(double_divide(C,double_divide(A,double_divide(V_3,B))))
% Rule [172]
% double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3))))
% <->
% double_divide(inverse(B),inverse(double_divide(A,double_divide(C,V_3)))) is composed into 
% [172]
% double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3)))) <->
% inverse(double_divide(B,double_divide(A,double_divide(C,V_3))))
% Rule [171]
% double_divide(double_divide(A,inverse(B)),inverse(C)) ->
% double_divide(inverse(A),inverse(double_divide(B,inverse(C)))) is composed into 
% [171]
% double_divide(double_divide(A,inverse(B)),inverse(C)) ->
% inverse(double_divide(A,double_divide(B,inverse(C))))
% Rule [151]
% double_divide(A,inverse(double_divide(double_divide(B,A),inverse(C))))
% <-> double_divide(inverse(C),inverse(B)) is composed into [151]
% double_divide(A,
% inverse(
% double_divide(
% double_divide(B,A),
% inverse(C))))
% <->
% inverse(
% double_divide(C,B))
% Rule [145]
% double_divide(A,inverse(double_divide(double_divide(A,B),inverse(C))))
% -> double_divide(inverse(B),inverse(C)) is composed into [145]
% double_divide(A,
% inverse(
% double_divide(
% double_divide(A,B),
% inverse(C))))
% ->
% inverse(
% double_divide(B,C))
% Rule [83]
% double_divide(B,inverse(A)) <->
% double_divide(inverse(A),inverse(inverse(B))) is composed into [83]
% double_divide(B,
% inverse(A))
% <->
% inverse(
% double_divide(A,
% inverse(B)))
% Rule [79]
% double_divide(C,inverse(A)) <->
% double_divide(inverse(A),inverse(double_divide(B,inverse(double_divide(C,
% inverse(B)))))) is composed into 
% [79]
% double_divide(C,inverse(A)) <->
% inverse(double_divide(A,double_divide(B,inverse(double_divide(C,inverse(B))))))
% Rule [43]
% double_divide(double_divide(A,inverse(A)),B) <->
% double_divide(inverse(C),inverse(double_divide(C,B))) is composed into 
% [43]
% double_divide(double_divide(A,inverse(A)),B) <->
% inverse(double_divide(C,double_divide(C,B)))
% New rule produced :
% [280] double_divide(inverse(A),inverse(B)) -> inverse(double_divide(A,B))
% Rule
% [28]
% double_divide(inverse(V_3),inverse(double_divide(double_divide(inverse(V_3),B),C)))
% <->
% double_divide(inverse(A),inverse(double_divide(double_divide(inverse(A),B),C)))
% collapsed.
% Rule
% [49]
% double_divide(inverse(C),inverse(double_divide(A,inverse(B)))) <->
% double_divide(inverse(B),inverse(double_divide(A,inverse(C)))) collapsed.
% Rule
% [61]
% double_divide(inverse(C),inverse(double_divide(A,inverse(double_divide(B,V_3)))))
% <-> double_divide(A,inverse(double_divide(B,double_divide(C,inverse(V_3)))))
% collapsed.
% Rule
% [68]
% double_divide(inverse(A),inverse(B)) <-> double_divide(inverse(B),inverse(A))
% collapsed.
% Rule
% [80]
% double_divide(inverse(A),inverse(double_divide(B,inverse(double_divide(C,
% inverse(B)))))) <->
% double_divide(C,inverse(A)) collapsed.
% Rule
% [101]
% double_divide(inverse(B),inverse(A)) <-> double_divide(inverse(A),inverse(B))
% collapsed.
% Rule
% [106]
% double_divide(inverse(V_3),inverse(double_divide(double_divide(inverse(V_3),B),C)))
% <->
% double_divide(inverse(c3),inverse(double_divide(double_divide(inverse(c3),B),C)))
% collapsed.
% Rule
% [147]
% double_divide(inverse(A),inverse(double_divide(B,inverse(C)))) <->
% double_divide(inverse(C),inverse(double_divide(B,inverse(A)))) collapsed.
% Rule
% [152]
% double_divide(inverse(C),inverse(B)) <->
% double_divide(A,inverse(double_divide(double_divide(B,A),inverse(C))))
% collapsed.
% Rule
% [163]
% double_divide(inverse(A),inverse(B)) <->
% double_divide(inverse(B),inverse(double_divide(c3,double_divide(A,c3))))
% collapsed.
% Rule
% [196]
% double_divide(inverse(C),inverse(B)) <->
% double_divide(inverse(A),double_divide(B,double_divide(A,inverse(C))))
% collapsed.
% Rule
% [199]
% double_divide(inverse(A),inverse(double_divide(B,inverse(C)))) <->
% double_divide(inverse(C),double_divide(A,inverse(B))) collapsed.
% Rule
% [212]
% double_divide(inverse(A),inverse(double_divide(B,inverse(C)))) <->
% double_divide(inverse(C),double_divide(A,inverse(B))) collapsed.
% Rule
% [217]
% double_divide(inverse(double_divide(A,B)),inverse(double_divide(double_divide(C,B),
% inverse(V_3)))) <->
% double_divide(A,double_divide(V_3,C)) collapsed.
% Rule
% [223]
% double_divide(inverse(A),inverse(double_divide(B,inverse(double_divide(C,
% inverse(double_divide(A,
% inverse(V_3))))))))
% <-> double_divide(C,double_divide(V_3,inverse(B))) collapsed.
% Rule
% [230]
% double_divide(inverse(V_3),inverse(double_divide(double_divide(inverse(V_3),
% inverse(B)),C))) <->
% double_divide(inverse(A),inverse(double_divide(double_divide(inverse(B),
% inverse(A)),C))) collapsed.
% Rule
% [231]
% double_divide(inverse(A),inverse(double_divide(double_divide(inverse(B),
% inverse(A)),C))) <->
% double_divide(inverse(V_3),inverse(double_divide(double_divide(inverse(V_3),
% inverse(B)),C))) collapsed.
% Rule
% [233]
% double_divide(inverse(V_3),inverse(double_divide(A,inverse(double_divide(B,
% inverse(C))))))
% <-> double_divide(A,inverse(double_divide(B,double_divide(C,V_3))))
% collapsed.
% Rule
% [252]
% double_divide(inverse(double_divide(A,C)),inverse(B)) <->
% double_divide(A,double_divide(B,inverse(C))) collapsed.
% Rule
% [257]
% double_divide(inverse(B),inverse(double_divide(A,inverse(C)))) <->
% double_divide(A,double_divide(B,C)) collapsed.
% Rule
% [261]
% double_divide(inverse(C),inverse(double_divide(A,inverse(B)))) <->
% double_divide(A,double_divide(B,C)) collapsed.
% Current number of equations to process: 901
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [281]
% inverse(double_divide(double_divide(A,C),B)) <->
% double_divide(A,double_divide(B,inverse(C)))
% Current number of equations to process: 900
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced :
% [282]
% double_divide(A,double_divide(B,inverse(C))) <->
% inverse(double_divide(double_divide(A,C),B))
% Current number of equations to process: 900
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [283] inverse(double_divide(A,B)) <-> inverse(double_divide(B,A))
% Current number of equations to process: 897
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [284]
% inverse(double_divide(A,double_divide(B,inverse(C)))) <->
% double_divide(inverse(C),double_divide(A,inverse(B)))
% Current number of equations to process: 896
% Current number of ordered equations: 1
% Current number of rules: 68
% New rule produced :
% [285]
% double_divide(inverse(C),double_divide(A,inverse(B))) <->
% inverse(double_divide(A,double_divide(B,inverse(C))))
% Current number of equations to process: 896
% Current number of ordered equations: 0
% Current number of rules: 69
% Rule [284]
% inverse(double_divide(A,double_divide(B,inverse(C)))) <->
% double_divide(inverse(C),double_divide(A,inverse(B))) is composed into 
% [284]
% inverse(double_divide(A,double_divide(B,inverse(C)))) <->
% inverse(double_divide(C,inverse(double_divide(A,inverse(B)))))
% Rule [277]
% inverse(double_divide(C,B)) <->
% double_divide(inverse(A),double_divide(B,double_divide(A,inverse(C)))) is composed into 
% [277]
% inverse(double_divide(C,B)) <->
% inverse(double_divide(A,inverse(double_divide(B,double_divide(A,inverse(C))))))
% Rule [268]
% double_divide(C,double_divide(B,A)) <->
% double_divide(inverse(A),double_divide(B,inverse(C))) is composed into 
% [268]
% double_divide(C,double_divide(B,A)) <->
% inverse(double_divide(A,inverse(double_divide(B,inverse(C)))))
% Rule [264]
% double_divide(A,double_divide(B,C)) <->
% double_divide(inverse(C),double_divide(B,inverse(A))) is composed into 
% [264]
% double_divide(A,double_divide(B,C)) <->
% inverse(double_divide(C,inverse(double_divide(B,inverse(A)))))
% Rule [262]
% double_divide(A,double_divide(B,C)) <->
% double_divide(inverse(B),double_divide(C,inverse(A))) is composed into 
% [262]
% double_divide(A,double_divide(B,C)) <->
% inverse(double_divide(B,inverse(double_divide(C,inverse(A)))))
% Rule [158]
% double_divide(double_divide(A,B),inverse(C)) <->
% double_divide(inverse(A),double_divide(C,B)) is composed into [158]
% double_divide(
% double_divide(A,B),
% inverse(C))
% <->
% inverse(
% double_divide(A,
% inverse(
% double_divide(C,B))))
% Rule [153]
% double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3))))
% <->
% double_divide(inverse(V_3),double_divide(B,double_divide(A,inverse(C)))) is composed into 
% [153]
% double_divide(A,inverse(double_divide(double_divide(B,C),inverse(V_3)))) <->
% inverse(double_divide(V_3,inverse(double_divide(B,double_divide(A,inverse(C))))))
% Rule [150]
% double_divide(double_divide(C,B),inverse(A)) <->
% double_divide(inverse(A),double_divide(B,C)) is composed into [150]
% double_divide(
% double_divide(C,B),
% inverse(A))
% <->
% inverse(
% double_divide(A,
% inverse(
% double_divide(B,C))))
% Rule [85] double_divide(C,inverse(B)) <-> double_divide(inverse(B),C) is composed into 
% [85] double_divide(C,inverse(B)) <-> inverse(double_divide(B,inverse(C)))
% Rule [81] double_divide(B,inverse(A)) <-> double_divide(inverse(A),B) is composed into 
% [81] double_divide(B,inverse(A)) <-> inverse(double_divide(A,inverse(B)))
% Rule [72]
% double_divide(double_divide(V_3,B),inverse(C)) <->
% double_divide(inverse(B),double_divide(C,V_3)) is composed into 
% [72]
% double_divide(double_divide(V_3,B),inverse(C)) <->
% inverse(double_divide(B,inverse(double_divide(C,V_3))))
% Rule [69] double_divide(A,inverse(C)) <-> double_divide(inverse(C),A) is composed into 
% [69] double_divide(A,inverse(C)) <-> inverse(double_divide(C,inverse(A)))
% New rule produced :
% [286] double_divide(inverse(A),B) -> inverse(double_divide(A,inverse(B)))
% Rule
% [58]
% double_divide(inverse(A),B) <->
% double_divide(inverse(C),double_divide(double_divide(C,B),A)) collapsed.
% Rule
% [116]
% double_divide(inverse(double_divide(A,inverse(B))),C) ->
% double_divide(A,double_divide(B,inverse(C))) collapsed.
% Rule
% [120]
% double_divide(inverse(C),B) <->
% double_divide(inverse(A),double_divide(double_divide(A,B),C)) collapsed.
% Rule
% [179]
% double_divide(double_divide(inverse(A),C),V_3) <->
% double_divide(A,double_divide(B,double_divide(double_divide(inverse(B),C),V_3)))
% collapsed.
% Rule
% [193]
% double_divide(double_divide(inverse(A),C),inverse(V_3)) ->
% double_divide(A,double_divide(C,V_3)) collapsed.
% Rule [195] double_divide(inverse(B),B) <-> double_divide(A,inverse(A))
% collapsed.
% Rule
% [205]
% double_divide(inverse(A),double_divide(B,C)) <->
% double_divide(inverse(C),double_divide(A,B)) collapsed.
% Rule
% [269]
% double_divide(inverse(A),double_divide(B,inverse(C))) <->
% double_divide(C,double_divide(B,A)) collapsed.
% Rule
% [270] inverse(double_divide(inverse(A),B)) -> double_divide(A,inverse(B))
% collapsed.
% Rule
% [278]
% double_divide(inverse(A),double_divide(B,double_divide(A,inverse(C)))) <->
% inverse(double_divide(C,B)) collapsed.
% Rule
% [279]
% double_divide(inverse(A),double_divide(double_divide(A,inverse(B)),C)) ->
% inverse(double_divide(B,C)) collapsed.
% Rule
% [280] double_divide(inverse(A),inverse(B)) -> inverse(double_divide(A,B))
% collapsed.
% Rule
% [285]
% double_divide(inverse(C),double_divide(A,inverse(B))) <->
% inverse(double_divide(A,double_divide(B,inverse(C)))) collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% Trivial
% 
% Current number of equations to process: 900
% Current number of ordered equations: 0
% Current number of rules: 57
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
% 
% The following 16 rules have been used:
% [1] 
% multiply(A,B) -> inverse(double_divide(B,A)); trace = in the starting set
% [2] double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,B),
% inverse(C))),B))) -> C; trace = in the starting set
% [3] double_divide(inverse(double_divide(double_divide(double_divide(A,C),V_3),
% inverse(B))),V_3) ->
% double_divide(A,inverse(double_divide(inverse(B),C))); trace = Self cp of 2
% [4] double_divide(double_divide(A,B),inverse(double_divide(A,inverse(
% double_divide(
% inverse(C),B)))))
% -> C; trace = Cp of 3 and 2
% [5] double_divide(double_divide(double_divide(inverse(A),B),inverse(double_divide(
% inverse(C),B))),
% inverse(C)) -> A; trace = Self cp of 4
% [7] double_divide(inverse(double_divide(A,inverse(B))),inverse(double_divide(C,
% inverse(
% double_divide(
% inverse(A),V_3)))))
% <-> double_divide(C,inverse(double_divide(inverse(B),V_3))); trace = Cp of 4 and 3
% [9] double_divide(double_divide(inverse(A),V_3),inverse(double_divide(
% inverse(B),inverse(
% double_divide(
% inverse(C),V_3)))))
% <-> double_divide(inverse(double_divide(A,inverse(B))),inverse(C)); trace = Cp of 7 and 4
% [10] double_divide(inverse(double_divide(B,inverse(B))),inverse(A)) -> A; trace = Cp of 9 and 4
% [14] double_divide(inverse(double_divide(A,inverse(B))),inverse(A)) -> B; trace = Cp of 10 and 2
% [16] double_divide(A,inverse(A)) <-> double_divide(B,inverse(B)); trace = Cp of 10 and 5
% [32] double_divide(double_divide(A,inverse(B)),inverse(double_divide(A,
% inverse(C)))) ->
% double_divide(B,inverse(C)); trace = Cp of 14 and 4
% [69] double_divide(A,inverse(C)) <-> double_divide(inverse(C),A); trace = Cp of 10 and 9
% [112] inverse(double_divide(A,inverse(B))) <-> double_divide(B,inverse(A)); trace = Cp of 32 and 16
% [113] double_divide(B,inverse(A)) <-> inverse(double_divide(A,inverse(B))); trace = Cp of 32 and 16
% [270] inverse(double_divide(inverse(A),B)) -> double_divide(A,inverse(B)); trace = Cp of 112 and 69
% [286] double_divide(inverse(A),B) -> inverse(double_divide(A,inverse(B))); trace = Cp of 113 and 69
% % SZS output end Refutation
% All conjectures have been proven
% 
% Execution time: 19.490000 sec
% res : bool = true
% time is now off
% 
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
% 
% EOF
%------------------------------------------------------------------------------