%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : GRP591-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n137.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 00:23:33 EDT 2014

% Result   : Timeout 300.05s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : GRP591-1 : TPTP v6.0.0. Released v2.6.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n137.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 21:13:58 CDT 2014
% % CPUTime  : 300.05 
% Processing problem /tmp/CiME_17608_n137.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(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,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(inverse(double_divide(double_divide(A,B),
% inverse(double_divide(A,
% 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(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,
% 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(A,inverse(double_divide(inverse(double_divide(
% double_divide(B,C),
% inverse(
% double_divide(B,
% inverse(A))))),
% inverse(V_3))))),C) -> V_3
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 3
% New rule produced :
% [4]
% double_divide(inverse(double_divide(double_divide(inverse(double_divide(
% double_divide(A,
% inverse(B)),
% inverse(double_divide(A,
% inverse(C))))),V_3),
% inverse(C))),V_3) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced :
% [5] double_divide(inverse(double_divide(A,inverse(A))),inverse(B)) -> B
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [6]
% double_divide(inverse(inverse(double_divide(A,inverse(A)))),inverse(B)) -> B
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [7] double_divide(inverse(double_divide(A,inverse(B))),inverse(A)) -> B
% Current number of equations to process: 13
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [8]
% double_divide(inverse(double_divide(double_divide(inverse(double_divide(A,
% inverse(A))),B),
% inverse(C))),B) -> C
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [9]
% double_divide(inverse(inverse(inverse(inverse(double_divide(A,inverse(A)))))),
% inverse(B)) -> B
% Current number of equations to process: 17
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [10]
% double_divide(inverse(double_divide(double_divide(inverse(double_divide(A,
% inverse(B))),C),
% inverse(B))),C) -> A
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [11]
% double_divide(inverse(A),inverse(inverse(double_divide(B,inverse(A))))) -> B
% Current number of equations to process: 19
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [12]
% double_divide(inverse(inverse(inverse(double_divide(A,inverse(A))))),
% inverse(B)) -> B
% Current number of equations to process: 20
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [13]
% double_divide(inverse(double_divide(A,inverse(double_divide(B,inverse(A))))),C)
% -> double_divide(B,C)
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [14]
% double_divide(inverse(A),inverse(inverse(double_divide(B,inverse(B))))) -> A
% Current number of equations to process: 28
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [15]
% double_divide(inverse(A),inverse(inverse(inverse(double_divide(B,inverse(B))))))
% -> A
% Current number of equations to process: 27
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [16]
% double_divide(inverse(double_divide(double_divide(inverse(inverse(double_divide(A,
% inverse(A)))),B),
% inverse(C))),B) -> C
% Current number of equations to process: 27
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [17]
% double_divide(inverse(double_divide(double_divide(A,inverse(B)),inverse(B))),
% inverse(double_divide(A,inverse(C)))) -> C
% Current number of equations to process: 26
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [18]
% double_divide(inverse(double_divide(A,inverse(double_divide(inverse(double_divide(B,
% inverse(A))),
% inverse(C))))),inverse(B)) -> C
% Current number of equations to process: 25
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [19]
% double_divide(inverse(A),inverse(inverse(double_divide(double_divide(B,
% inverse(C)),inverse(
% double_divide(B,
% inverse(A)))))))
% -> C
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [20]
% double_divide(inverse(inverse(inverse(inverse(inverse(double_divide(A,
% inverse(A))))))),
% inverse(B)) -> B
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [21]
% double_divide(inverse(A),inverse(inverse(inverse(inverse(inverse(double_divide(B,
% inverse(B))))))))
% -> A
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [22]
% double_divide(inverse(inverse(inverse(inverse(inverse(inverse(double_divide(A,
% inverse(A)))))))),
% inverse(B)) -> B
% Current number of equations to process: 35
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [23]
% double_divide(inverse(double_divide(double_divide(inverse(inverse(inverse(
% double_divide(A,
% inverse(A))))),B),
% inverse(C))),B) -> C
% Current number of equations to process: 34
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [24]
% double_divide(inverse(inverse(inverse(inverse(inverse(inverse(inverse(
% inverse(
% double_divide(A,
% inverse(A)))))))))),
% inverse(B)) -> B
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [25]
% inverse(double_divide(double_divide(V_3,inverse(C)),inverse(double_divide(V_3,
% inverse(A)))))
% <->
% double_divide(inverse(double_divide(double_divide(inverse(A),B),inverse(C))),B)
% Current number of equations to process: 32
% Current number of ordered equations: 1
% Current number of rules: 25
% Rule [25]
% inverse(double_divide(double_divide(V_3,inverse(C)),inverse(double_divide(V_3,
% inverse(A)))))
% <->
% double_divide(inverse(double_divide(double_divide(inverse(A),B),
% inverse(C))),B) is composed into [25]
% inverse(double_divide(
% double_divide(V_3,
% inverse(C)),
% inverse(
% double_divide(V_3,
% inverse(A)))))
% <->
% inverse(double_divide(
% double_divide(c3,
% inverse(C)),
% inverse(
% double_divide(c3,
% inverse(A)))))
% New rule produced :
% [26]
% double_divide(inverse(double_divide(double_divide(inverse(A),B),inverse(C))),B)
% <->
% inverse(double_divide(double_divide(V_3,inverse(C)),inverse(double_divide(V_3,
% inverse(A)))))
% Rule
% [4]
% double_divide(inverse(double_divide(double_divide(inverse(double_divide(
% double_divide(A,
% inverse(B)),
% inverse(double_divide(A,
% inverse(C))))),V_3),
% inverse(C))),V_3) -> B collapsed.
% Rule
% [8]
% double_divide(inverse(double_divide(double_divide(inverse(double_divide(A,
% inverse(A))),B),
% inverse(C))),B) -> C collapsed.
% Rule
% [10]
% double_divide(inverse(double_divide(double_divide(inverse(double_divide(A,
% inverse(B))),C),
% inverse(B))),C) -> A collapsed.
% Rule
% [16]
% double_divide(inverse(double_divide(double_divide(inverse(inverse(double_divide(A,
% inverse(A)))),B),
% inverse(C))),B) -> C collapsed.
% Rule
% [23]
% double_divide(inverse(double_divide(double_divide(inverse(inverse(inverse(
% double_divide(A,
% inverse(A))))),B),
% inverse(C))),B) -> C collapsed.
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 21
% Rule [25]
% inverse(double_divide(double_divide(V_3,inverse(C)),inverse(double_divide(V_3,
% inverse(A)))))
% <->
% inverse(double_divide(double_divide(c3,inverse(C)),inverse(double_divide(c3,
% inverse(A))))) is composed into 
% [25]
% inverse(double_divide(double_divide(V_3,inverse(C)),inverse(double_divide(V_3,
% inverse(A))))) ->
% inverse(double_divide(C,inverse(A)))
% New rule produced :
% [27]
% inverse(double_divide(double_divide(c3,inverse(A)),inverse(double_divide(c3,
% inverse(B))))) ->
% inverse(double_divide(A,inverse(B)))
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [28]
% double_divide(inverse(A),inverse(inverse(B))) ->
% inverse(double_divide(A,inverse(B)))
% Rule
% [11]
% double_divide(inverse(A),inverse(inverse(double_divide(B,inverse(A))))) -> B
% collapsed.
% Rule
% [14]
% double_divide(inverse(A),inverse(inverse(double_divide(B,inverse(B))))) -> A
% collapsed.
% Rule
% [15]
% double_divide(inverse(A),inverse(inverse(inverse(double_divide(B,inverse(B))))))
% -> A collapsed.
% Rule
% [19]
% double_divide(inverse(A),inverse(inverse(double_divide(double_divide(B,
% inverse(C)),inverse(
% double_divide(B,
% inverse(A)))))))
% -> C collapsed.
% Rule
% [21]
% double_divide(inverse(A),inverse(inverse(inverse(inverse(inverse(double_divide(B,
% inverse(B))))))))
% -> A collapsed.
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [29] inverse(double_divide(A,inverse(double_divide(B,inverse(A))))) -> B
% Rule
% [13]
% double_divide(inverse(double_divide(A,inverse(double_divide(B,inverse(A))))),C)
% -> double_divide(B,C) collapsed.
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [30] inverse(double_divide(A,inverse(double_divide(B,inverse(B))))) -> A
% Current number of equations to process: 41
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [31]
% inverse(double_divide(A,inverse(inverse(double_divide(B,inverse(B)))))) -> A
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [32]
% inverse(double_divide(A,inverse(inverse(inverse(double_divide(B,inverse(B)))))))
% -> A
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [33]
% inverse(double_divide(A,inverse(inverse(inverse(inverse(double_divide(B,
% inverse(B)))))))) ->
% A
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [34] inverse(double_divide(double_divide(c3,inverse(C)),c3)) -> C
% Current number of equations to process: 38
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [35]
% inverse(double_divide(A,inverse(double_divide(double_divide(B,inverse(C)),
% inverse(C))))) <->
% double_divide(B,inverse(A))
% Current number of equations to process: 39
% Current number of ordered equations: 1
% Current number of rules: 24
% New rule produced :
% [36]
% double_divide(B,inverse(A)) <->
% inverse(double_divide(A,inverse(double_divide(double_divide(B,inverse(C)),
% inverse(C)))))
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [37]
% double_divide(inverse(inverse(inverse(inverse(inverse(inverse(inverse(
% double_divide(A,
% inverse(A))))))))),
% inverse(B)) -> B
% Current number of equations to process: 38
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [38]
% inverse(double_divide(double_divide(inverse(B),inverse(C)),inverse(B))) -> C
% Current number of equations to process: 34
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [39]
% double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,
% inverse(B)),
% inverse(B))),inverse(C)))) -> C
% Current number of equations to process: 41
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [40]
% double_divide(inverse(double_divide(A,inverse(B))),inverse(double_divide(
% inverse(double_divide(B,
% inverse(A))),
% inverse(C)))) -> C
% Current number of equations to process: 39
% Current number of ordered equations: 1
% Current number of rules: 29
% New rule produced :
% [41]
% double_divide(inverse(double_divide(double_divide(inverse(double_divide(A,
% inverse(B))),
% inverse(C)),inverse(C))),inverse(B)) -> A
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [42]
% inverse(double_divide(A,inverse(double_divide(B,inverse(double_divide(
% inverse(double_divide(C,
% inverse(B))),
% inverse(A))))))) -> C
% Current number of equations to process: 38
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [43]
% inverse(double_divide(double_divide(inverse(double_divide(A,inverse(V_3))),
% inverse(C)),inverse(V_3))) ->
% inverse(double_divide(C,inverse(A)))
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [44] double_divide(A,inverse(double_divide(inverse(A),inverse(B)))) -> B
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [45]
% double_divide(C,inverse(B)) <->
% double_divide(inverse(double_divide(A,inverse(B))),inverse(double_divide(C,
% inverse(A))))
% Current number of equations to process: 43
% Current number of ordered equations: 1
% Current number of rules: 34
% New rule produced :
% [46]
% double_divide(inverse(double_divide(A,inverse(B))),inverse(double_divide(C,
% inverse(A)))) <->
% double_divide(C,inverse(B))
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [47]
% double_divide(A,inverse(double_divide(double_divide(A,inverse(B)),inverse(
% double_divide(
% inverse(B),
% inverse(C))))))
% -> C
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [48]
% inverse(double_divide(A,inverse(inverse(inverse(inverse(inverse(double_divide(B,
% inverse(B)))))))))
% -> A
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [49]
% inverse(double_divide(A,inverse(inverse(inverse(inverse(inverse(inverse(
% double_divide(B,
% inverse(B))))))))))
% -> A
% Current number of equations to process: 48
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [50]
% inverse(double_divide(A,inverse(inverse(inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% double_divide(B,
% inverse(B))))))))))))
% -> A
% Current number of equations to process: 53
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [51]
% double_divide(inverse(inverse(inverse(inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% double_divide(A,
% inverse(A))))))))))),
% inverse(B)) -> B
% Current number of equations to process: 52
% Current number of ordered equations: 0
% Current number of rules: 40
% Rule [26]
% double_divide(inverse(double_divide(double_divide(inverse(A),B),
% inverse(C))),B) <->
% inverse(double_divide(double_divide(V_3,inverse(C)),inverse(double_divide(V_3,
% inverse(A))))) is composed into 
% [26]
% double_divide(inverse(double_divide(double_divide(inverse(A),B),inverse(C))),B)
% -> inverse(double_divide(C,inverse(A)))
% New rule produced :
% [52]
% double_divide(double_divide(C,inverse(A)),inverse(double_divide(C,inverse(B))))
% -> double_divide(A,inverse(B))
% Rule
% [25]
% inverse(double_divide(double_divide(V_3,inverse(C)),inverse(double_divide(V_3,
% inverse(A))))) ->
% inverse(double_divide(C,inverse(A))) collapsed.
% Rule
% [27]
% inverse(double_divide(double_divide(c3,inverse(A)),inverse(double_divide(c3,
% inverse(B))))) ->
% inverse(double_divide(A,inverse(B))) collapsed.
% Current number of equations to process: 59
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [53]
% double_divide(inverse(double_divide(double_divide(double_divide(A,inverse(B)),C),
% inverse(double_divide(B,inverse(V_3))))),C) ->
% double_divide(A,inverse(V_3))
% Current number of equations to process: 58
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [54]
% double_divide(inverse(inverse(inverse(inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% inverse(
% double_divide(A,
% inverse(A)))))))))))),
% inverse(B)) -> B
% Current number of equations to process: 56
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [55]
% inverse(double_divide(B,inverse(double_divide(C,inverse(A))))) <->
% double_divide(inverse(double_divide(A,inverse(B))),inverse(C))
% Current number of equations to process: 61
% Current number of ordered equations: 1
% Current number of rules: 42
% New rule produced :
% [56]
% double_divide(inverse(double_divide(A,inverse(B))),inverse(C)) <->
% inverse(double_divide(B,inverse(double_divide(C,inverse(A)))))
% Rule [7] double_divide(inverse(double_divide(A,inverse(B))),inverse(A)) -> B
% collapsed.
% Rule
% [18]
% double_divide(inverse(double_divide(A,inverse(double_divide(inverse(double_divide(B,
% inverse(A))),
% inverse(C))))),inverse(B)) -> C
% collapsed.
% Rule
% [41]
% double_divide(inverse(double_divide(double_divide(inverse(double_divide(A,
% inverse(B))),
% inverse(C)),inverse(C))),inverse(B)) -> A
% collapsed.
% Current number of equations to process: 61
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [57]
% inverse(double_divide(inverse(double_divide(A,inverse(B))),inverse(double_divide(
% double_divide(
% inverse(B),
% inverse(C)),
% inverse(A)))))
% -> C
% Current number of equations to process: 67
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [58]
% inverse(double_divide(B,inverse(double_divide(double_divide(V_3,C),inverse(
% double_divide(V_3,
% inverse(A)))))))
% <-> double_divide(inverse(double_divide(A,inverse(B))),C)
% Current number of equations to process: 66
% Current number of ordered equations: 1
% Current number of rules: 42
% New rule produced :
% [59]
% double_divide(inverse(double_divide(A,inverse(B))),C) <->
% inverse(double_divide(B,inverse(double_divide(double_divide(V_3,C),inverse(
% double_divide(V_3,
% inverse(A)))))))
% Rule
% [2]
% double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,
% inverse(C))))),B)
% -> C collapsed.
% Rule
% [3]
% double_divide(inverse(double_divide(A,inverse(double_divide(inverse(double_divide(
% double_divide(B,C),
% inverse(
% double_divide(B,
% inverse(A))))),
% inverse(V_3))))),C) -> V_3
% collapsed.
% Rule
% [26]
% double_divide(inverse(double_divide(double_divide(inverse(A),B),inverse(C))),B)
% -> inverse(double_divide(C,inverse(A))) collapsed.
% Rule
% [53]
% double_divide(inverse(double_divide(double_divide(double_divide(A,inverse(B)),C),
% inverse(double_divide(B,inverse(V_3))))),C) ->
% double_divide(A,inverse(V_3)) collapsed.
% Current number of equations to process: 70
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [60]
% inverse(double_divide(double_divide(A,inverse(C)),inverse(double_divide(
% double_divide(c3,B),
% inverse(double_divide(c3,
% inverse(
% double_divide(A,B))))))))
% -> C
% Current number of equations to process: 69
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [61]
% inverse(double_divide(double_divide(B,inverse(B)),inverse(A))) -> inverse(A)
% Current number of equations to process: 69
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [62]
% inverse(double_divide(A,inverse(A))) <->
% inverse(inverse(inverse(double_divide(B,inverse(B)))))
% Current number of equations to process: 80
% Current number of ordered equations: 1
% Current number of rules: 42
% New rule produced :
% [63]
% inverse(inverse(inverse(double_divide(B,inverse(B))))) <->
% inverse(double_divide(A,inverse(A)))
% Rule
% [9]
% double_divide(inverse(inverse(inverse(inverse(double_divide(A,inverse(A)))))),
% inverse(B)) -> B collapsed.
% Rule
% [12]
% double_divide(inverse(inverse(inverse(double_divide(A,inverse(A))))),
% inverse(B)) -> B collapsed.
% Rule
% [20]
% double_divide(inverse(inverse(inverse(inverse(inverse(double_divide(A,
% inverse(A))))))),
% inverse(B)) -> B collapsed.
% Rule
% [22]
% double_divide(inverse(inverse(inverse(inverse(inverse(inverse(double_divide(A,
% inverse(A)))))))),
% inverse(B)) -> B collapsed.
% Rule
% [24]
% double_divide(inverse(inverse(inverse(inverse(inverse(inverse(inverse(
% inverse(
% double_divide(A,
% inverse(A)))))))))),
% inverse(B)) -> B collapsed.
% Rule
% [37]
% double_divide(inverse(inverse(inverse(inverse(inverse(inverse(inverse(
% double_divide(A,
% inverse(A))))))))),
% inverse(B)) -> B collapsed.
% Rule
% [51]
% double_divide(inverse(inverse(inverse(inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% double_divide(A,
% inverse(A))))))))))),
% inverse(B)) -> B collapsed.
% Rule
% [54]
% double_divide(inverse(inverse(inverse(inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% inverse(
% double_divide(A,
% inverse(A)))))))))))),
% inverse(B)) -> B collapsed.
% Current number of equations to process: 80
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [64]
% inverse(double_divide(A,inverse(A))) <-> inverse(double_divide(B,inverse(B)))
% Current number of equations to process: 82
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [65]
% inverse(double_divide(A,inverse(A))) <->
% inverse(inverse(double_divide(B,inverse(B))))
% Current number of equations to process: 84
% Current number of ordered equations: 1
% Current number of rules: 37
% New rule produced :
% [66]
% inverse(inverse(double_divide(B,inverse(B)))) <->
% inverse(double_divide(A,inverse(A)))
% Rule
% [6]
% double_divide(inverse(inverse(double_divide(A,inverse(A)))),inverse(B)) -> B
% collapsed.
% Current number of equations to process: 84
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [67]
% double_divide(C,inverse(double_divide(B,inverse(C)))) <->
% double_divide(inverse(double_divide(A,inverse(A))),B)
% Current number of equations to process: 83
% Current number of ordered equations: 1
% Current number of rules: 38
% New rule produced :
% [68]
% double_divide(inverse(double_divide(A,inverse(A))),B) <->
% double_divide(C,inverse(double_divide(B,inverse(C))))
% Current number of equations to process: 83
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [69]
% inverse(inverse(double_divide(double_divide(A,inverse(B)),inverse(B)))) -> A
% Current number of equations to process: 87
% Current number of ordered equations: 0
% Current number of rules: 40
% Rule [55]
% inverse(double_divide(B,inverse(double_divide(C,inverse(A))))) <->
% double_divide(inverse(double_divide(A,inverse(B))),inverse(C)) is composed into 
% [55]
% inverse(double_divide(B,inverse(double_divide(C,inverse(A))))) <->
% inverse(double_divide(double_divide(A,inverse(B)),C))
% Rule [45]
% double_divide(C,inverse(B)) <->
% double_divide(inverse(double_divide(A,inverse(B))),inverse(double_divide(C,
% inverse(A)))) is composed into 
% [45]
% double_divide(C,inverse(B)) <->
% inverse(double_divide(double_divide(A,inverse(B)),double_divide(C,inverse(A))))
% New rule produced :
% [70] double_divide(inverse(A),inverse(B)) -> inverse(double_divide(A,B))
% Rule [5] double_divide(inverse(double_divide(A,inverse(A))),inverse(B)) -> B
% collapsed.
% Rule
% [17]
% double_divide(inverse(double_divide(double_divide(A,inverse(B)),inverse(B))),
% inverse(double_divide(A,inverse(C)))) -> C collapsed.
% Rule
% [28]
% double_divide(inverse(A),inverse(inverse(B))) ->
% inverse(double_divide(A,inverse(B))) collapsed.
% Rule
% [38]
% inverse(double_divide(double_divide(inverse(B),inverse(C)),inverse(B))) -> C
% collapsed.
% Rule
% [39]
% double_divide(A,inverse(double_divide(inverse(double_divide(double_divide(A,
% inverse(B)),
% inverse(B))),inverse(C)))) -> C
% collapsed.
% Rule
% [40]
% double_divide(inverse(double_divide(A,inverse(B))),inverse(double_divide(
% inverse(double_divide(B,
% inverse(A))),
% inverse(C)))) -> C
% collapsed.
% Rule
% [42]
% inverse(double_divide(A,inverse(double_divide(B,inverse(double_divide(
% inverse(double_divide(C,
% inverse(B))),
% inverse(A))))))) -> C
% collapsed.
% Rule
% [43]
% inverse(double_divide(double_divide(inverse(double_divide(A,inverse(V_3))),
% inverse(C)),inverse(V_3))) ->
% inverse(double_divide(C,inverse(A))) collapsed.
% Rule [44] double_divide(A,inverse(double_divide(inverse(A),inverse(B)))) -> B
% collapsed.
% Rule
% [46]
% double_divide(inverse(double_divide(A,inverse(B))),inverse(double_divide(C,
% inverse(A)))) <->
% double_divide(C,inverse(B)) collapsed.
% Rule
% [47]
% double_divide(A,inverse(double_divide(double_divide(A,inverse(B)),inverse(
% double_divide(
% inverse(B),
% inverse(C))))))
% -> C collapsed.
% Rule
% [56]
% double_divide(inverse(double_divide(A,inverse(B))),inverse(C)) <->
% inverse(double_divide(B,inverse(double_divide(C,inverse(A))))) collapsed.
% Rule
% [57]
% inverse(double_divide(inverse(double_divide(A,inverse(B))),inverse(double_divide(
% double_divide(
% inverse(B),
% inverse(C)),
% inverse(A)))))
% -> C collapsed.
% Current number of equations to process: 100
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [71] inverse(double_divide(double_divide(A,inverse(A)),B)) -> B
% Rule
% [61]
% inverse(double_divide(double_divide(B,inverse(B)),inverse(A))) -> inverse(A)
% collapsed.
% Current number of equations to process: 99
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [72] inverse(inverse(double_divide(double_divide(B,C),B))) -> C
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [73] double_divide(A,inverse(inverse(double_divide(A,B)))) -> B
% Current number of equations to process: 97
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [74] inverse(double_divide(double_divide(A,inverse(B)),A)) -> B
% Rule [34] inverse(double_divide(double_divide(c3,inverse(C)),c3)) -> C
% collapsed.
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [75] inverse(double_divide(A,double_divide(B,inverse(B)))) -> A
% Current number of equations to process: 100
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [76] inverse(double_divide(inverse(double_divide(A,inverse(A))),B)) -> B
% Current number of equations to process: 102
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [77]
% inverse(double_divide(A,inverse(double_divide(double_divide(B,C),C)))) <->
% double_divide(B,inverse(A))
% Rule
% [35]
% inverse(double_divide(A,inverse(double_divide(double_divide(B,inverse(C)),
% inverse(C))))) <->
% double_divide(B,inverse(A)) collapsed.
% Current number of equations to process: 110
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [78]
% inverse(double_divide(A,inverse(A))) <->
% inverse(inverse(inverse(inverse(inverse(double_divide(B,inverse(B)))))))
% Current number of equations to process: 111
% Current number of ordered equations: 1
% Current number of rules: 33
% New rule produced :
% [79]
% inverse(inverse(inverse(inverse(inverse(double_divide(B,inverse(B))))))) <->
% inverse(double_divide(A,inverse(A)))
% Current number of equations to process: 111
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [80]
% inverse(double_divide(double_divide(A,inverse(B)),inverse(B))) <->
% inverse(double_divide(double_divide(A,inverse(C)),inverse(C)))
% Current number of equations to process: 108
% Current number of ordered equations: 2
% Current number of rules: 35
% New rule produced :
% [81]
% double_divide(C,inverse(A)) <->
% double_divide(inverse(double_divide(double_divide(A,inverse(B)),inverse(B))),C)
% Current number of equations to process: 108
% Current number of ordered equations: 1
% Current number of rules: 36
% New rule produced :
% [82]
% double_divide(inverse(double_divide(double_divide(A,inverse(B)),inverse(B))),C)
% <-> double_divide(C,inverse(A))
% Current number of equations to process: 108
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [83]
% inverse(double_divide(A,double_divide(B,inverse(double_divide(C,inverse(C))))))
% <-> double_divide(B,inverse(A))
% Current number of equations to process: 107
% Current number of ordered equations: 1
% Current number of rules: 38
% New rule produced :
% [84]
% double_divide(B,inverse(A)) <->
% inverse(double_divide(A,double_divide(B,inverse(double_divide(C,inverse(C))))))
% Current number of equations to process: 107
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [85]
% inverse(inverse(double_divide(double_divide(double_divide(A,inverse(V_3)),C),V_3)))
% -> inverse(double_divide(C,inverse(A)))
% Current number of equations to process: 107
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [86]
% inverse(double_divide(A,inverse(A))) <->
% inverse(inverse(inverse(inverse(inverse(inverse(double_divide(B,inverse(B))))))))
% Current number of equations to process: 106
% Current number of ordered equations: 1
% Current number of rules: 41
% New rule produced :
% [87]
% inverse(inverse(inverse(inverse(inverse(inverse(double_divide(B,inverse(B))))))))
% <-> inverse(double_divide(A,inverse(A)))
% Current number of equations to process: 106
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [88]
% inverse(double_divide(double_divide(double_divide(A,B),B),double_divide(A,
% inverse(C)))) -> C
% Current number of equations to process: 104
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [89]
% inverse(double_divide(double_divide(C,B),double_divide(A,inverse(C)))) <->
% double_divide(A,B)
% Current number of equations to process: 106
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced :
% [90]
% double_divide(A,B) <->
% inverse(double_divide(double_divide(C,B),double_divide(A,inverse(C))))
% Rule
% [45]
% double_divide(C,inverse(B)) <->
% inverse(double_divide(double_divide(A,inverse(B)),double_divide(C,inverse(A))))
% collapsed.
% Current number of equations to process: 106
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [91]
% inverse(double_divide(double_divide(A,inverse(B)),inverse(double_divide(
% double_divide(B,
% inverse(A)),C))))
% -> C
% Current number of equations to process: 112
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [92]
% double_divide(A,inverse(inverse(double_divide(double_divide(double_divide(A,
% inverse(B)),
% inverse(B)),C)))) -> C
% Current number of equations to process: 111
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [93]
% double_divide(A,inverse(double_divide(double_divide(A,inverse(B)),inverse(
% inverse(
% double_divide(B,C))))))
% -> C
% Current number of equations to process: 110
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [94]
% inverse(inverse(double_divide(double_divide(A,inverse(B)),inverse(double_divide(
% double_divide(B,C),A)))))
% -> C
% Current number of equations to process: 112
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [95]
% inverse(double_divide(double_divide(double_divide(A,inverse(double_divide(B,
% inverse(A)))),B),C))
% -> C
% Current number of equations to process: 111
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [96]
% inverse(double_divide(double_divide(C,inverse(double_divide(A,inverse(C)))),
% inverse(B))) -> double_divide(A,inverse(inverse(B)))
% Current number of equations to process: 110
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [97] double_divide(B,inverse(inverse(double_divide(C,B)))) -> C
% Current number of equations to process: 109
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [98]
% inverse(double_divide(A,inverse(double_divide(double_divide(B,inverse(
% double_divide(C,
% inverse(B)))),C))))
% -> A
% Current number of equations to process: 107
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced :
% [99]
% inverse(double_divide(double_divide(A,inverse(double_divide(B,inverse(B)))),
% inverse(double_divide(C,A)))) -> C
% Current number of equations to process: 107
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [100]
% inverse(double_divide(A,inverse(double_divide(B,inverse(inverse(double_divide(
% double_divide(C,
% inverse(B)),A)))))))
% -> C
% Current number of equations to process: 107
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [101]
% inverse(double_divide(A,inverse(inverse(inverse(inverse(inverse(inverse(
% inverse(
% double_divide(B,
% inverse(B)))))))))))
% -> A
% Current number of equations to process: 106
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [102]
% inverse(double_divide(inverse(double_divide(double_divide(A,inverse(double_divide(B,
% inverse(A)))),B)),C))
% -> C
% Current number of equations to process: 105
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [103]
% inverse(double_divide(A,inverse(inverse(double_divide(double_divide(B,
% inverse(double_divide(C,
% inverse(B)))),C)))))
% -> A
% Current number of equations to process: 103
% Current number of ordered equations: 1
% Current number of rules: 57
% New rule produced :
% [104]
% inverse(double_divide(double_divide(A,inverse(inverse(double_divide(B,
% inverse(B))))),
% inverse(double_divide(C,A)))) -> C
% Current number of equations to process: 103
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [105]
% inverse(double_divide(A,inverse(inverse(double_divide(double_divide(B,
% inverse(A)),double_divide(C,
% inverse(B)))))))
% -> C
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [106]
% double_divide(B,inverse(double_divide(C,inverse(A)))) <->
% double_divide(double_divide(A,inverse(B)),C)
% Rule
% [55]
% inverse(double_divide(B,inverse(double_divide(C,inverse(A))))) <->
% inverse(double_divide(double_divide(A,inverse(B)),C)) collapsed.
% Current number of equations to process: 104
% Current number of ordered equations: 1
% Current number of rules: 59
% Rule [81]
% double_divide(C,inverse(A)) <->
% double_divide(inverse(double_divide(double_divide(A,inverse(B)),
% inverse(B))),C) is composed into [81]
% double_divide(C,
% inverse(A)) <->
% double_divide(
% inverse(double_divide(B,
% inverse(
% double_divide(
% inverse(B),
% inverse(A))))),C)
% Rule [36]
% double_divide(B,inverse(A)) <->
% inverse(double_divide(A,inverse(double_divide(double_divide(B,inverse(C)),
% inverse(C))))) is composed into 
% [36]
% double_divide(B,inverse(A)) <->
% inverse(double_divide(A,inverse(double_divide(C,inverse(double_divide(
% inverse(C),inverse(B)))))))
% New rule produced :
% [107]
% double_divide(double_divide(A,inverse(B)),C) <->
% double_divide(B,inverse(double_divide(C,inverse(A))))
% Rule
% [69]
% inverse(inverse(double_divide(double_divide(A,inverse(B)),inverse(B)))) -> A
% collapsed.
% Rule [74] inverse(double_divide(double_divide(A,inverse(B)),A)) -> B
% collapsed.
% Rule
% [80]
% inverse(double_divide(double_divide(A,inverse(B)),inverse(B))) <->
% inverse(double_divide(double_divide(A,inverse(C)),inverse(C))) collapsed.
% Rule
% [82]
% double_divide(inverse(double_divide(double_divide(A,inverse(B)),inverse(B))),C)
% <-> double_divide(C,inverse(A)) collapsed.
% Rule
% [92]
% double_divide(A,inverse(inverse(double_divide(double_divide(double_divide(A,
% inverse(B)),
% inverse(B)),C)))) -> C
% collapsed.
% Rule
% [95]
% inverse(double_divide(double_divide(double_divide(A,inverse(double_divide(B,
% inverse(A)))),B),C))
% -> C collapsed.
% Rule
% [98]
% inverse(double_divide(A,inverse(double_divide(double_divide(B,inverse(
% double_divide(C,
% inverse(B)))),C))))
% -> A collapsed.
% Rule
% [102]
% inverse(double_divide(inverse(double_divide(double_divide(A,inverse(double_divide(B,
% inverse(A)))),B)),C))
% -> C collapsed.
% Rule
% [103]
% inverse(double_divide(A,inverse(inverse(double_divide(double_divide(B,
% inverse(double_divide(C,
% inverse(B)))),C)))))
% -> A collapsed.
% Current number of equations to process: 106
% Current number of ordered equations: 0
% Current number of rules: 51
% Rule [84]
% double_divide(B,inverse(A)) <->
% inverse(double_divide(A,double_divide(B,inverse(double_divide(C,
% inverse(C)))))) is composed into 
% [84]
% double_divide(B,inverse(A)) <->
% inverse(double_divide(A,double_divide(B,double_divide(C,inverse(C)))))
% Rule [67]
% double_divide(C,inverse(double_divide(B,inverse(C)))) <->
% double_divide(inverse(double_divide(A,inverse(A))),B) is composed into 
% [67]
% double_divide(C,inverse(double_divide(B,inverse(C)))) <->
% double_divide(double_divide(A,inverse(A)),B)
% New rule produced :
% [108] inverse(double_divide(A,inverse(B))) <-> double_divide(B,inverse(A))
% Rule [30] inverse(double_divide(A,inverse(double_divide(B,inverse(B))))) -> A
% collapsed.
% Rule
% [31]
% inverse(double_divide(A,inverse(inverse(double_divide(B,inverse(B)))))) -> A
% collapsed.
% Rule
% [32]
% inverse(double_divide(A,inverse(inverse(inverse(double_divide(B,inverse(B)))))))
% -> A collapsed.
% Rule
% [33]
% inverse(double_divide(A,inverse(inverse(inverse(inverse(double_divide(B,
% inverse(B)))))))) ->
% A collapsed.
% Rule
% [48]
% inverse(double_divide(A,inverse(inverse(inverse(inverse(inverse(double_divide(B,
% inverse(B)))))))))
% -> A collapsed.
% Rule
% [49]
% inverse(double_divide(A,inverse(inverse(inverse(inverse(inverse(inverse(
% double_divide(B,
% inverse(B))))))))))
% -> A collapsed.
% Rule
% [50]
% inverse(double_divide(A,inverse(inverse(inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% double_divide(B,
% inverse(B))))))))))))
% -> A collapsed.
% Rule
% [62]
% inverse(double_divide(A,inverse(A))) <->
% inverse(inverse(inverse(double_divide(B,inverse(B))))) collapsed.
% Rule
% [63]
% inverse(inverse(inverse(double_divide(B,inverse(B))))) <->
% inverse(double_divide(A,inverse(A))) collapsed.
% Rule
% [64]
% inverse(double_divide(A,inverse(A))) <-> inverse(double_divide(B,inverse(B)))
% collapsed.
% Rule
% [65]
% inverse(double_divide(A,inverse(A))) <->
% inverse(inverse(double_divide(B,inverse(B)))) collapsed.
% Rule
% [66]
% inverse(inverse(double_divide(B,inverse(B)))) <->
% inverse(double_divide(A,inverse(A))) collapsed.
% Rule
% [68]
% double_divide(inverse(double_divide(A,inverse(A))),B) <->
% double_divide(C,inverse(double_divide(B,inverse(C)))) collapsed.
% Rule [76] inverse(double_divide(inverse(double_divide(A,inverse(A))),B)) -> B
% collapsed.
% Rule
% [78]
% inverse(double_divide(A,inverse(A))) <->
% inverse(inverse(inverse(inverse(inverse(double_divide(B,inverse(B)))))))
% collapsed.
% Rule
% [79]
% inverse(inverse(inverse(inverse(inverse(double_divide(B,inverse(B))))))) <->
% inverse(double_divide(A,inverse(A))) collapsed.
% Rule
% [83]
% inverse(double_divide(A,double_divide(B,inverse(double_divide(C,inverse(C))))))
% <-> double_divide(B,inverse(A)) collapsed.
% Rule
% [86]
% inverse(double_divide(A,inverse(A))) <->
% inverse(inverse(inverse(inverse(inverse(inverse(double_divide(B,inverse(B))))))))
% collapsed.
% Rule
% [87]
% inverse(inverse(inverse(inverse(inverse(inverse(double_divide(B,inverse(B))))))))
% <-> inverse(double_divide(A,inverse(A))) collapsed.
% Rule
% [99]
% inverse(double_divide(double_divide(A,inverse(double_divide(B,inverse(B)))),
% inverse(double_divide(C,A)))) -> C collapsed.
% Rule
% [101]
% inverse(double_divide(A,inverse(inverse(inverse(inverse(inverse(inverse(
% inverse(
% double_divide(B,
% inverse(B)))))))))))
% -> A collapsed.
% Rule
% [104]
% inverse(double_divide(double_divide(A,inverse(inverse(double_divide(B,
% inverse(B))))),
% inverse(double_divide(C,A)))) -> C collapsed.
% Current number of equations to process: 111
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [109] double_divide(A,inverse(A)) <-> double_divide(B,inverse(B))
% Current number of equations to process: 110
% Current number of ordered equations: 0
% Current number of rules: 31
% Rule [96]
% inverse(double_divide(double_divide(C,inverse(double_divide(A,inverse(C)))),
% inverse(B))) -> double_divide(A,inverse(inverse(B))) is composed into 
% [96]
% inverse(double_divide(double_divide(C,inverse(double_divide(A,inverse(C)))),
% inverse(B))) -> double_divide(A,B)
% New rule produced : [110] inverse(inverse(A)) -> A
% Rule [72] inverse(inverse(double_divide(double_divide(B,C),B))) -> C
% collapsed.
% Rule [73] double_divide(A,inverse(inverse(double_divide(A,B)))) -> B
% collapsed.
% Rule
% [85]
% inverse(inverse(double_divide(double_divide(double_divide(A,inverse(V_3)),C),V_3)))
% -> inverse(double_divide(C,inverse(A))) collapsed.
% Rule
% [93]
% double_divide(A,inverse(double_divide(double_divide(A,inverse(B)),inverse(
% inverse(
% double_divide(B,C))))))
% -> C collapsed.
% Rule
% [94]
% inverse(inverse(double_divide(double_divide(A,inverse(B)),inverse(double_divide(
% double_divide(B,C),A)))))
% -> C collapsed.
% Rule [97] double_divide(B,inverse(inverse(double_divide(C,B)))) -> C
% collapsed.
% Rule
% [100]
% inverse(double_divide(A,inverse(double_divide(B,inverse(inverse(double_divide(
% double_divide(C,
% inverse(B)),A)))))))
% -> C collapsed.
% Rule
% [105]
% inverse(double_divide(A,inverse(inverse(double_divide(double_divide(B,
% inverse(A)),double_divide(C,
% inverse(B)))))))
% -> C collapsed.
% Current number of equations to process: 116
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [111] double_divide(double_divide(B,C),B) -> C
% Current number of equations to process: 115
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [112] double_divide(A,double_divide(A,B)) -> B
% Current number of equations to process: 114
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [113] double_divide(B,double_divide(C,B)) -> C
% Current number of equations to process: 113
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [114]
% double_divide(double_divide(double_divide(A,inverse(V_3)),C),V_3) ->
% inverse(double_divide(C,inverse(A)))
% Current number of equations to process: 112
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [115]
% double_divide(double_divide(A,inverse(B)),inverse(double_divide(A,C))) ->
% double_divide(B,C)
% Rule
% [52]
% double_divide(double_divide(C,inverse(A)),inverse(double_divide(C,inverse(B))))
% -> double_divide(A,inverse(B)) collapsed.
% Current number of equations to process: 111
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [116]
% double_divide(A,inverse(double_divide(double_divide(A,inverse(B)),double_divide(B,C))))
% -> C
% Current number of equations to process: 109
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [117]
% double_divide(double_divide(A,inverse(B)),inverse(double_divide(double_divide(B,C),A)))
% -> C
% Current number of equations to process: 108
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [118]
% inverse(double_divide(A,inverse(double_divide(B,double_divide(double_divide(C,
% inverse(B)),A)))))
% -> C
% Current number of equations to process: 112
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [119]
% inverse(double_divide(double_divide(A,double_divide(B,inverse(B))),inverse(
% double_divide(C,A))))
% -> C
% Current number of equations to process: 111
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [120]
% inverse(double_divide(A,double_divide(double_divide(B,inverse(A)),double_divide(C,
% inverse(B)))))
% -> C
% Current number of equations to process: 110
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [121] double_divide(C,inverse(A)) <-> double_divide(inverse(A),C)
% Current number of equations to process: 109
% Current number of ordered equations: 1
% Current number of rules: 34
% New rule produced :
% [122] double_divide(inverse(A),C) <-> double_divide(C,inverse(A))
% The conjecture has been reduced. 
% Conjecture is now:
% inverse(double_divide(c3,inverse(double_divide(b3,a3)))) = inverse(double_divide(a3,
% inverse(
% double_divide(c3,b3))))
% 
% Current number of equations to process: 109
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [123]
% inverse(double_divide(double_divide(A,inverse(B)),inverse(double_divide(C,
% inverse(B))))) ->
% double_divide(A,inverse(C))
% Current number of equations to process: 108
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [124]
% double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C)))) <->
% double_divide(double_divide(V_3,inverse(double_divide(B,inverse(V_3)))),
% inverse(C))
% Current number of equations to process: 107
% Current number of ordered equations: 1
% Current number of rules: 37
% New rule produced :
% [125]
% double_divide(double_divide(V_3,inverse(double_divide(B,inverse(V_3)))),
% inverse(C)) <->
% double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))
% Current number of equations to process: 107
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [126]
% double_divide(double_divide(B,double_divide(V_3,inverse(V_3))),inverse(C))
% <-> double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))
% Current number of equations to process: 106
% Current number of ordered equations: 1
% Current number of rules: 39
% New rule produced :
% [127]
% double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C)))) <->
% double_divide(double_divide(B,double_divide(V_3,inverse(V_3))),inverse(C))
% Current number of equations to process: 106
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [128]
% inverse(double_divide(A,inverse(double_divide(double_divide(B,C),inverse(
% double_divide(B,V_3))))))
% <-> double_divide(double_divide(V_3,A),C)
% Current number of equations to process: 104
% Current number of ordered equations: 3
% Current number of rules: 41
% New rule produced :
% [129]
% inverse(double_divide(A,inverse(double_divide(double_divide(B,C),V_3)))) <->
% double_divide(inverse(double_divide(double_divide(V_3,inverse(B)),inverse(A))),C)
% Current number of equations to process: 104
% Current number of ordered equations: 2
% Current number of rules: 42
% New rule produced :
% [130]
% double_divide(double_divide(V_3,A),C) <->
% inverse(double_divide(A,inverse(double_divide(double_divide(B,C),inverse(
% double_divide(B,V_3))))))
% Rule
% [114]
% double_divide(double_divide(double_divide(A,inverse(V_3)),C),V_3) ->
% inverse(double_divide(C,inverse(A))) collapsed.
% Current number of equations to process: 105
% Current number of ordered equations: 1
% Current number of rules: 42
% New rule produced :
% [131]
% double_divide(inverse(double_divide(double_divide(V_3,inverse(B)),inverse(A))),C)
% <-> inverse(double_divide(A,inverse(double_divide(double_divide(B,C),V_3))))
% Current number of equations to process: 105
% Current number of ordered equations: 0
% Current number of rules: 43
% Rule [129]
% inverse(double_divide(A,inverse(double_divide(double_divide(B,C),V_3))))
% <->
% double_divide(inverse(double_divide(double_divide(V_3,inverse(B)),
% inverse(A))),C) is composed into [129]
% inverse(double_divide(A,
% inverse(
% double_divide(
% double_divide(B,C),V_3))))
% <->
% inverse(double_divide(A,
% double_divide(
% double_divide(V_3,
% inverse(B)),C)))
% Rule [81]
% double_divide(C,inverse(A)) <->
% double_divide(inverse(double_divide(B,inverse(double_divide(inverse(B),
% inverse(A))))),C) is composed into 
% [81]
% double_divide(C,inverse(A)) <->
% inverse(double_divide(double_divide(inverse(B),inverse(A)),double_divide(B,C)))
% Rule [58]
% inverse(double_divide(B,inverse(double_divide(double_divide(V_3,C),
% inverse(double_divide(V_3,inverse(A)))))))
% <-> double_divide(inverse(double_divide(A,inverse(B))),C) is composed into 
% [58]
% inverse(double_divide(B,inverse(double_divide(double_divide(V_3,C),inverse(
% double_divide(V_3,
% inverse(A)))))))
% <-> inverse(double_divide(B,double_divide(A,C)))
% New rule produced :
% [132]
% double_divide(inverse(double_divide(B,inverse(A))),C) ->
% inverse(double_divide(A,double_divide(B,C)))
% Rule
% [59]
% double_divide(inverse(double_divide(A,inverse(B))),C) <->
% inverse(double_divide(B,inverse(double_divide(double_divide(V_3,C),inverse(
% double_divide(V_3,
% inverse(A)))))))
% collapsed.
% Rule
% [131]
% double_divide(inverse(double_divide(double_divide(V_3,inverse(B)),inverse(A))),C)
% <-> inverse(double_divide(A,inverse(double_divide(double_divide(B,C),V_3))))
% collapsed.
% Current number of equations to process: 111
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [133] double_divide(double_divide(A,inverse(A)),inverse(C)) -> C
% Current number of equations to process: 108
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [134]
% inverse(double_divide(A,inverse(double_divide(B,double_divide(C,inverse(
% double_divide(
% double_divide(B,C),
% inverse(
% double_divide(B,B)))))))))
% -> A
% Current number of equations to process: 106
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [135]
% inverse(double_divide(double_divide(V_3,inverse(A)),B)) <->
% inverse(double_divide(A,double_divide(double_divide(B,inverse(C)),double_divide(C,
% inverse(V_3)))))
% Current number of equations to process: 103
% Current number of ordered equations: 3
% Current number of rules: 45
% New rule produced :
% [136]
% inverse(double_divide(A,double_divide(double_divide(B,inverse(C)),double_divide(C,
% inverse(V_3)))))
% <-> inverse(double_divide(double_divide(V_3,inverse(A)),B))
% Current number of equations to process: 103
% Current number of ordered equations: 2
% Current number of rules: 46
% New rule produced :
% [137]
% inverse(double_divide(V_3,double_divide(C,B))) <->
% double_divide(double_divide(double_divide(A,B),inverse(double_divide(A,
% inverse(C)))),
% inverse(V_3))
% Current number of equations to process: 103
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced :
% [138]
% double_divide(double_divide(double_divide(A,B),inverse(double_divide(A,
% inverse(C)))),
% inverse(V_3)) <-> inverse(double_divide(V_3,double_divide(C,B)))
% Current number of equations to process: 103
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [139]
% inverse(double_divide(double_divide(A,inverse(B)),double_divide(double_divide(A,C),C)))
% -> B
% Current number of equations to process: 112
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [140]
% inverse(double_divide(double_divide(double_divide(c3,A),inverse(double_divide(c3,
% inverse(
% double_divide(B,A))))),C))
% -> double_divide(B,inverse(C))
% Current number of equations to process: 111
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [141]
% inverse(double_divide(B,double_divide(A,inverse(double_divide(C,inverse(A))))))
% -> inverse(double_divide(B,inverse(C)))
% Current number of equations to process: 110
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [142]
% inverse(double_divide(C,inverse(double_divide(double_divide(inverse(B),V_3),
% inverse(A))))) <->
% double_divide(double_divide(B,double_divide(A,inverse(C))),V_3)
% Current number of equations to process: 109
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced :
% [143]
% double_divide(double_divide(B,double_divide(A,inverse(C))),V_3) <->
% inverse(double_divide(C,inverse(double_divide(double_divide(inverse(B),V_3),
% inverse(A)))))
% Current number of equations to process: 109
% Current number of ordered equations: 0
% Current number of rules: 53
% Rule [124]
% double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))
% <->
% double_divide(double_divide(V_3,inverse(double_divide(B,inverse(V_3)))),
% inverse(C)) is composed into [124]
% double_divide(double_divide(A,B),inverse(
% double_divide(A,
% inverse(C))))
% -> double_divide(inverse(B),inverse(C))
% New rule produced :
% [144] double_divide(V_3,inverse(double_divide(C,inverse(V_3)))) -> inverse(C)
% Rule [29] inverse(double_divide(A,inverse(double_divide(B,inverse(A))))) -> B
% collapsed.
% Rule
% [67]
% double_divide(C,inverse(double_divide(B,inverse(C)))) <->
% double_divide(double_divide(A,inverse(A)),B) collapsed.
% Rule
% [96]
% inverse(double_divide(double_divide(C,inverse(double_divide(A,inverse(C)))),
% inverse(B))) -> double_divide(A,B) collapsed.
% Rule
% [125]
% double_divide(double_divide(V_3,inverse(double_divide(B,inverse(V_3)))),
% inverse(C)) <->
% double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))
% collapsed.
% Rule
% [141]
% inverse(double_divide(B,double_divide(A,inverse(double_divide(C,inverse(A))))))
% -> inverse(double_divide(B,inverse(C))) collapsed.
% Current number of equations to process: 108
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [145] double_divide(double_divide(A,inverse(A)),B) -> inverse(B)
% Rule [71] inverse(double_divide(double_divide(A,inverse(A)),B)) -> B
% collapsed.
% Rule [133] double_divide(double_divide(A,inverse(A)),inverse(C)) -> C
% collapsed.
% Current number of equations to process: 107
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [146]
% inverse(double_divide(C,inverse(double_divide(double_divide(c3,V_3),inverse(
% double_divide(c3,
% double_divide(A,
% inverse(V_3))))))))
% -> inverse(double_divide(C,inverse(A)))
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [147]
% inverse(double_divide(A,double_divide(double_divide(B,inverse(V_4)),V_3)))
% <->
% inverse(double_divide(A,inverse(double_divide(double_divide(double_divide(B,C),V_3),
% double_divide(V_4,C)))))
% Current number of equations to process: 96
% Current number of ordered equations: 1
% Current number of rules: 50
% New rule produced :
% [148]
% inverse(double_divide(A,inverse(double_divide(double_divide(double_divide(B,C),V_3),
% double_divide(V_4,C))))) <->
% inverse(double_divide(A,double_divide(double_divide(B,inverse(V_4)),V_3)))
% Current number of equations to process: 96
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [149]
% inverse(double_divide(double_divide(B,double_divide(C,inverse(C))),inverse(A)))
% <-> double_divide(A,B)
% Current number of equations to process: 98
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced :
% [150]
% double_divide(A,B) <->
% inverse(double_divide(double_divide(B,double_divide(C,inverse(C))),inverse(A)))
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 53
% Rule [150]
% double_divide(A,B) <->
% inverse(double_divide(double_divide(B,double_divide(C,inverse(C))),
% inverse(A))) is composed into [150]
% double_divide(A,B) <->
% inverse(double_divide(inverse(B),
% inverse(A)))
% Rule [127]
% double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))
% <->
% double_divide(double_divide(B,double_divide(V_3,inverse(V_3))),inverse(C)) is composed into 
% [127]
% double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C)))) ->
% double_divide(inverse(B),inverse(C))
% Rule [84]
% double_divide(B,inverse(A)) <->
% inverse(double_divide(A,double_divide(B,double_divide(C,inverse(C))))) is composed into 
% [84] double_divide(B,inverse(A)) <-> inverse(double_divide(A,inverse(B)))
% New rule produced :
% [151] double_divide(A,double_divide(B,inverse(B))) -> inverse(A)
% Rule [75] inverse(double_divide(A,double_divide(B,inverse(B)))) -> A
% collapsed.
% Rule
% [119]
% inverse(double_divide(double_divide(A,double_divide(B,inverse(B))),inverse(
% double_divide(C,A))))
% -> C collapsed.
% Rule
% [126]
% double_divide(double_divide(B,double_divide(V_3,inverse(V_3))),inverse(C))
% <-> double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))
% collapsed.
% Rule
% [149]
% inverse(double_divide(double_divide(B,double_divide(C,inverse(C))),inverse(A)))
% <-> double_divide(A,B) collapsed.
% Current number of equations to process: 100
% Current number of ordered equations: 0
% Current number of rules: 50
% double_divide(A,B) = double_divide(B,A) (birth = 530, lhs_size = 6, rhs_size = 3,trace = Cp of 75 and 36)
% Initializing completion ...
% New rule produced : [1] A <-> inverse(inverse(A))
% Current number of equations to process: 95
% Current number of ordered equations: 77
% Current number of rules: 1
% New rule produced : [2] inverse(inverse(A)) <-> A
% Current number of equations to process: 95
% Current number of ordered equations: 76
% Current number of rules: 2
% New rule produced : [3] B <-> (A double_divide B) double_divide A
% Current number of equations to process: 96
% Current number of ordered equations: 74
% Current number of rules: 3
% New rule produced : [4] inverse(A double_divide B) <-> multiply(A,B)
% Current number of equations to process: 96
% Current number of ordered equations: 73
% Current number of rules: 4
% New rule produced : [5] multiply(A,B) <-> inverse(A double_divide B)
% Current number of equations to process: 96
% Current number of ordered equations: 72
% Current number of rules: 5
% New rule produced : [6] (A double_divide B) double_divide A <-> B
% Current number of equations to process: 96
% Current number of ordered equations: 70
% Current number of rules: 6
% New rule produced :
% [7] inverse(A) double_divide A <-> inverse(B) double_divide B
% Current number of equations to process: 110
% Current number of ordered equations: 74
% Current number of rules: 7
% New rule produced :
% [8] inverse(A) <-> (inverse(B) double_divide B) double_divide A
% Current number of equations to process: 116
% Current number of ordered equations: 78
% Current number of rules: 8
% New rule produced :
% [9] inverse(A double_divide B) <-> inverse(A) double_divide inverse(B)
% Current number of equations to process: 116
% Current number of ordered equations: 77
% Current number of rules: 9
% New rule produced :
% [10] inverse(inverse(B) double_divide A) <-> inverse(A) double_divide B
% Current number of equations to process: 116
% Current number of ordered equations: 76
% Current number of rules: 10
% New rule produced :
% [11] (inverse(B) double_divide B) double_divide A <-> inverse(A)
% Current number of equations to process: 116
% Current number of ordered equations: 74
% Current number of rules: 11
% New rule produced :
% [12] inverse(A) double_divide B <-> inverse(inverse(B) double_divide A)
% Current number of equations to process: 116
% Current number of ordered equations: 73
% Current number of rules: 12
% New rule produced :
% [13] inverse(A) double_divide inverse(B) <-> inverse(A double_divide B)
% Current number of equations to process: 116
% Current number of ordered equations: 72
% Current number of rules: 13
% New rule produced :
% [14] inverse(inverse(A) double_divide inverse(B)) <-> A double_divide B
% Current number of equations to process: 193
% Current number of ordered equations: 87
% Current number of rules: 14
% New rule produced :
% [15] A double_divide B <-> inverse(inverse(A) double_divide inverse(B))
% Current number of equations to process: 193
% Current number of ordered equations: 86
% Current number of rules: 15
% New rule produced :
% [16] inverse(C) <-> inverse(inverse(V_3) double_divide C) double_divide V_3
% Current number of equations to process: 202
% Current number of ordered equations: 123
% Current number of rules: 16
% New rule produced :
% [17] inverse(inverse(V_3) double_divide C) double_divide V_3 <-> inverse(C)
% Current number of equations to process: 202
% Current number of ordered equations: 122
% Current number of rules: 17
% New rule produced :
% [18]
% inverse((B double_divide C) double_divide A) <->
% inverse(inverse(A) double_divide B) double_divide C
% Current number of equations to process: 182
% Current number of ordered equations: 273
% Current number of rules: 18
% New rule produced :
% [19]
% (inverse(B) double_divide A) double_divide C <->
% inverse(inverse(A) double_divide C) double_divide B
% Current number of equations to process: 182
% Current number of ordered equations: 272
% Current number of rules: 19
% New rule produced :
% [20]
% inverse(inverse(A) double_divide C) double_divide B <->
% (inverse(B) double_divide A) double_divide C
% Current number of equations to process: 182
% Current number of ordered equations: 271
% Current number of rules: 20
% New rule produced :
% [21]
% inverse(inverse(A) double_divide B) double_divide C <->
% inverse((B double_divide C) double_divide A)
% Current number of equations to process: 182
% Current number of ordered equations: 270
% Current number of rules: 21
% New rule produced :
% [22]
% inverse((inverse(C) double_divide A) double_divide (B double_divide C)) <->
% A double_divide B
% Current number of equations to process: 380
% Current number of ordered equations: 348
% Current number of rules: 22
% New rule produced :
% [23]
% A double_divide B <->
% inverse((inverse(C) double_divide A) double_divide (B double_divide C))
% Current number of equations to process: 380
% Current number of ordered equations: 346
% Current number of rules: 23
% New rule produced :
% [24]
% B double_divide C <->
% inverse(A double_divide C) double_divide (inverse(B) double_divide A)
% Current number of equations to process: 380
% Current number of ordered equations: 345
% Current number of rules: 24
% New rule produced :
% [25]
% inverse(A double_divide C) double_divide (inverse(B) double_divide A) <->
% B double_divide C
% Current number of equations to process: 380
% Current number of ordered equations: 344
% Current number of rules: 25
% New rule produced :
% [26]
% inverse(inverse((B double_divide C) double_divide C) double_divide A) <->
% inverse(A) double_divide B
% Current number of equations to process: 611
% Current number of ordered equations: 467
% Current number of rules: 26
% New rule produced :
% [27]
% inverse(A) double_divide B <->
% inverse(inverse((B double_divide C) double_divide C) double_divide A)
% Current number of equations to process: 611
% Current number of ordered equations: 466
% Current number of rules: 27
% New rule produced :
% [28]
% B <->
% inverse((inverse(B) double_divide A) double_divide ((A double_divide C) double_divide C))
% Current number of equations to process: 714
% Current number of ordered equations: 610
% Current number of rules: 28
% New rule produced :
% [29]
% C <->
% inverse((inverse(B) double_divide A) double_divide (B double_divide C)) double_divide A
% Current number of equations to process: 714
% Current number of ordered equations: 609
% Current number of rules: 29
% New rule produced :
% [30]
% C <->
% inverse((B double_divide C) double_divide A) double_divide (inverse(B) double_divide A)
% Current number of equations to process: 714
% Current number of ordered equations: 608
% Current number of rules: 30
% New rule produced :
% [31]
% inverse((inverse(C) double_divide A) double_divide ((A double_divide B) double_divide B))
% <-> C
% Current number of equations to process: 714
% Current number of ordered equations: 606
% Current number of rules: 31
% New rule produced :
% [32]
% inverse(B) double_divide inverse(C) <->
% inverse(inverse(C) double_divide A) double_divide (A double_divide B)
% Current number of equations to process: 714
% Current number of ordered equations: 605
% Current number of rules: 32
% New rule produced :
% [33]
% inverse(inverse(C) double_divide A) double_divide (A double_divide B) <->
% inverse(B) double_divide inverse(C)
% Current number of equations to process: 714
% Current number of ordered equations: 604
% Current number of rules: 33
% New rule produced :
% [34]
% inverse((inverse(B) double_divide A) double_divide (B double_divide C)) double_divide A
% <-> C
% Current number of equations to process: 714
% Current number of ordered equations: 603
% Current number of rules: 34
% New rule produced :
% [35]
% inverse((B double_divide C) double_divide A) double_divide (inverse(B) double_divide A)
% <-> C
% Current number of equations to process: 714
% Current number of ordered equations: 602
% Current number of rules: 35
% New rule produced :
% [36]
% C <->
% inverse(inverse(((inverse(B) double_divide C) double_divide A) double_divide B) double_divide A)
% Current number of equations to process: 1447
% Current number of ordered equations: 1051
% Current number of rules: 36
% New rule produced :
% [37]
% C <->
% inverse(((inverse(A) double_divide B) double_divide (inverse(B) double_divide C)) double_divide A)
% Current number of equations to process: 1447
% Current number of ordered equations: 1050
% Current number of rules: 37
% New rule produced :
% [38]
% C <->
% inverse(inverse(inverse(C) double_divide A) double_divide (A double_divide B)) double_divide B
% Current number of equations to process: 1447
% Current number of ordered equations: 1049
% Current number of rules: 38
% New rule produced :
% [39]
% inverse(inverse(((inverse(B) double_divide C) double_divide A) double_divide B) double_divide A)
% <-> C
% Current number of equations to process: 1447
% Current number of ordered equations: 1048
% Current number of rules: 39
% New rule produced :
% [40]
% inverse(((inverse(A) double_divide B) double_divide (inverse(B) double_divide C)) double_divide A)
% <-> C
% Current number of equations to process: 1447
% Current number of ordered equations: 1047
% Current number of rules: 40
% New rule produced :
% [41]
% inverse(inverse(inverse(C) double_divide A) double_divide (A double_divide B)) double_divide B
% <-> C
% Current number of equations to process: 1447
% Current number of ordered equations: 1046
% Current number of rules: 41
% New rule produced :
% [42]
% inverse(inverse(inverse(B) double_divide C) double_divide (inverse(B) double_divide A))
% <-> inverse(C) double_divide A
% Current number of equations to process: 2223
% Current number of ordered equations: 1425
% Current number of rules: 42
% New rule produced :
% [43]
% inverse(C) double_divide A <->
% inverse(inverse(inverse(B) double_divide C) double_divide (inverse(B) double_divide A))
% Current number of equations to process: 2223
% Current number of ordered equations: 1424
% Current number of rules: 43
% New rule produced :
% [44]
% C <->
% inverse(inverse((inverse(A) double_divide B) double_divide C) double_divide 
% (inverse(B) double_divide A))
% Current number of equations to process: 2461
% Current number of ordered equations: 1665
% Current number of rules: 44
% New rule produced :
% [45]
% inverse(inverse((B double_divide C) double_divide V_3) double_divide A) <->
% inverse(((inverse(B) double_divide V_3) double_divide C) double_divide A)
% Current number of equations to process: 2461
% Current number of ordered equations: 1664
% Current number of rules: 45
% New rule produced :
% [46]
% inverse(inverse((inverse(A) double_divide B) double_divide C) double_divide 
% (inverse(B) double_divide A)) <-> C
% Current number of equations to process: 2461
% Current number of ordered equations: 1663
% Current number of rules: 46
% New rule produced :
% [47]
% inverse(((inverse(B) double_divide V_3) double_divide C) double_divide A) <->
% inverse(inverse((B double_divide C) double_divide V_3) double_divide A)
% Current number of equations to process: 2461
% Current number of ordered equations: 1662
% Current number of rules: 47
% New rule produced :
% [48]
% inverse(inverse(inverse(inverse(B) double_divide inverse(C)) double_divide C) double_divide A)
% <-> inverse(A) double_divide B
% Current number of equations to process: 3071
% Current number of ordered equations: 2189
% Current number of rules: 48
% New rule produced :
% [49]
% inverse(A) double_divide B <->
% inverse(inverse(inverse(inverse(B) double_divide inverse(C)) double_divide C) double_divide A)
% Current number of equations to process: 3071
% Current number of ordered equations: 2188
% Current number of rules: 49
% New rule produced :
% [50]
% inverse(inverse(inverse(B double_divide V_3) double_divide (B double_divide C)) double_divide A)
% <-> (A double_divide V_3) double_divide C
% Current number of equations to process: 3367
% Current number of ordered equations: 2499
% Current number of rules: 50
% New rule produced :
% [51]
% (A double_divide V_3) double_divide C <->
% inverse(inverse(inverse(B double_divide V_3) double_divide (B double_divide C)) double_divide A)
% Current number of equations to process: 3367
% Current number of ordered equations: 2498
% Current number of rules: 51
% New rule produced :
% [52]
% inverse((B double_divide C) double_divide V_3) <->
% inverse(V_3) double_divide (inverse(inverse(C) double_divide A) double_divide 
% (A double_divide B))
% Current number of equations to process: 3662
% Current number of ordered equations: 3001
% Current number of rules: 52
% New rule produced :
% [53]
% inverse(inverse(inverse(A) double_divide (inverse(B) double_divide V_3)) double_divide C)
% <-> ((inverse(C) double_divide A) double_divide B) double_divide V_3
% Current number of equations to process: 3662
% Current number of ordered equations: 3000
% Current number of rules: 53
% New rule produced :
% [54]
% inverse(V_3) double_divide (inverse(inverse(C) double_divide A) double_divide 
% (A double_divide B)) <->
% inverse((B double_divide C) double_divide V_3)
% Current number of equations to process: 3662
% Current number of ordered equations: 2999
% Current number of rules: 54
% New rule produced :
% [55]
% ((inverse(C) double_divide A) double_divide B) double_divide V_3 <->
% inverse(inverse(inverse(A) double_divide (inverse(B) double_divide V_3)) double_divide C)
% Current number of equations to process: 3662
% Current number of ordered equations: 2998
% Current number of rules: 55
% New rule produced :
% [56]
% inverse(((inverse(C) double_divide B) double_divide (inverse(V_3) double_divide C)) double_divide A)
% <-> inverse((inverse(A) double_divide V_3) double_divide B)
% Current number of equations to process: 4586
% Current number of ordered equations: 3453
% Current number of rules: 56
% New rule produced :
% [57]
% inverse((inverse(A) double_divide V_3) double_divide B) <->
% inverse(((inverse(C) double_divide B) double_divide (inverse(V_3) double_divide C)) double_divide A)
% Current number of equations to process: 4586
% Current number of ordered equations: 3452
% Current number of rules: 57
% New rule produced :
% [58]
% inverse((A double_divide C) double_divide B) <->
% inverse(inverse(inverse(inverse(A) double_divide V_3) double_divide (C double_divide V_3)) double_divide B)
% Current number of equations to process: 2391
% Current number of ordered equations: 4081
% Current number of rules: 58
% New rule produced :
% [59]
% inverse(inverse(inverse(inverse(A) double_divide V_3) double_divide (C double_divide V_3)) double_divide B)
% <-> inverse((A double_divide C) double_divide B)
% Current number of equations to process: 2391
% Current number of ordered equations: 4080
% Current number of rules: 59
% New rule produced :
% [60]
% inverse((inverse(c3 double_divide inverse(A double_divide B)) double_divide 
% (c3 double_divide A)) double_divide C) <-> inverse(C) double_divide B
% Current number of equations to process: 2391
% Current number of ordered equations: 4079
% Current number of rules: 60
% New rule produced :
% [61]
% inverse(C) double_divide B <->
% inverse((inverse(c3 double_divide inverse(A double_divide B)) double_divide 
% (c3 double_divide A)) double_divide C)
% Current number of equations to process: 2391
% Current number of ordered equations: 4078
% Current number of rules: 61
% New rule produced :
% [62]
% A <->
% inverse(inverse((inverse(inverse(B double_divide B) double_divide (B double_divide C)) double_divide C) double_divide B) double_divide A)
% Current number of equations to process: 2762
% Current number of ordered equations: 5877
% Current number of rules: 62
% New rule produced :
% [63]
% inverse(inverse(A) double_divide C) <->
% inverse(inverse(inverse(c3 double_divide (inverse(V_3) double_divide A)) double_divide 
% (c3 double_divide V_3)) double_divide C)
% Current number of equations to process: 2762
% Current number of ordered equations: 5876
% Current number of rules: 63
% New rule produced :
% [64]
% inverse(inverse((inverse(inverse(B double_divide B) double_divide (B double_divide C)) double_divide C) double_divide B) double_divide A)
% <-> A
% Current number of equations to process: 2762
% Current number of ordered equations: 5875
% Current number of rules: 64
% New rule produced :
% [65]
% inverse(inverse(inverse(c3 double_divide (inverse(V_3) double_divide A)) double_divide 
% (c3 double_divide V_3)) double_divide C) <->
% inverse(inverse(A) double_divide C)
% Current number of equations to process: 2762
% Current number of ordered equations: 5874
% Current number of rules: 65
% New rule produced :
% [66]
% inverse(inverse(((B double_divide C) double_divide V_3) double_divide 
% (C double_divide V_4)) double_divide A) <->
% inverse(((inverse(V_4) double_divide B) double_divide V_3) double_divide A)
% Current number of equations to process: 2762
% Current number of ordered equations: 5873
% Current number of rules: 66
% New rule produced :
% [67]
% inverse(((inverse(V_4) double_divide B) double_divide V_3) double_divide A)
% <->
% inverse(inverse(((B double_divide C) double_divide V_3) double_divide 
% (C double_divide V_4)) double_divide A)
% Current number of equations to process: 2762
% Current number of ordered equations: 5872
% Current number of rules: 67
% New rule produced :
% [68]
% C <->
% inverse(inverse(inverse(c3 double_divide inverse(A double_divide B)) double_divide 
% (c3 double_divide B)) double_divide (inverse(C) double_divide A))
% Current number of equations to process: 3948
% Current number of ordered equations: 7749
% Current number of rules: 68
% New rule produced :
% [69]
% inverse(inverse(inverse(c3 double_divide inverse(A double_divide B)) double_divide 
% (c3 double_divide B)) double_divide (inverse(C) double_divide A))
% <-> C
% Current number of equations to process: 3948
% Current number of ordered equations: 7748
% Current number of rules: 69
% multiply(A,B) = multiply(B,A) (birth = 51, lhs_size = 3, rhs_size = 3,trace = Self cp of 4)
% Initializing completion ...
% New rule produced : [1] A <-> inverse(inverse(A))
% Current number of equations to process: 1
% Current number of ordered equations: 77
% Current number of rules: 1
% New rule produced : [2] inverse(inverse(A)) <-> A
% Current number of equations to process: 1
% Current number of ordered equations: 76
% Current number of rules: 2
% New rule produced : [3] (eq)(A,A) -> (true)
% Current number of equations to process: 1
% Current number of ordered equations: 75
% Current number of rules: 3
% New rule produced : [4] B <-> (A double_divide B) double_divide A
% Current number of equations to process: 2
% Current number of ordered equations: 73
% Current number of rules: 4
% New rule produced : [5] inverse(A double_divide B) <-> A multiply B
% Current number of equations to process: 2
% Current number of ordered equations: 71
% Current number of rules: 5
% New rule produced :
% [6] (eq)(A,inverse(inverse(inverse(inverse(A))))) -> (false)
% Current number of equations to process: 2
% Current number of ordered equations: 70
% Current number of rules: 6
% New rule produced : [7] A multiply B <-> inverse(A double_divide B)
% Current number of equations to process: 2
% Current number of ordered equations: 68
% Current number of rules: 7
% New rule produced : [8] (A double_divide B) double_divide A <-> B
% Current number of equations to process: 2
% Current number of ordered equations: 66
% Current number of rules: 8
% New rule produced :
% [9] inverse(A) double_divide A <-> inverse(B) double_divide B
% Current number of equations to process: 21
% Current number of ordered equations: 70
% Current number of rules: 9
% New rule produced :
% [10] inverse(A) <-> (inverse(B) double_divide B) double_divide A
% Current number of equations to process: 27
% Current number of ordered equations: 73
% Current number of rules: 10
% New rule produced :
% [11] inverse(A double_divide B) <-> inverse(A) double_divide inverse(B)
% Current number of equations to process: 27
% Current number of ordered equations: 72
% Current number of rules: 11
% New rule produced :
% [12] inverse(inverse(B) double_divide A) <-> inverse(A) double_divide B
% Current number of equations to process: 27
% Current number of ordered equations: 71
% Current number of rules: 12
% New rule produced :
% [13] (inverse(B) double_divide B) double_divide A <-> inverse(A)
% Current number of equations to process: 27
% Current number of ordered equations: 70
% Current number of rules: 13
% New rule produced :
% [14] inverse(A) double_divide B <-> inverse(inverse(B) double_divide A)
% Current number of equations to process: 27
% Current number of ordered equations: 69
% Current number of rules: 14
% New rule produced :
% [15] inverse(A) double_divide inverse(B) <-> inverse(A double_divide B)
% Current number of equations to process: 27
% Current number of ordered equations: 68
% Current number of rules: 15
% New rule produced :
% [16] inverse(inverse(A) double_divide inverse(B)) <-> A double_divide B
% Current number of equations to process: 107
% Current number of ordered equations: 79
% Current number of rules: 16
% New rule produced :
% [17] A double_divide B <-> inverse(inverse(A) double_divide inverse(B))
% Current number of equations to process: 107
% Current number of ordered equations: 78
% Current number of rules: 17
% New rule produced :
% [18] inverse(C) <-> inverse(inverse(V_3) double_divide C) double_divide V_3
% Current number of equations to process: 116
% Current number of ordered equations: 115
% Current number of rules: 18
% New rule produced :
% [19] inverse(inverse(V_3) double_divide C) double_divide V_3 <-> inverse(C)
% Current number of equations to process: 116
% Current number of ordered equations: 114
% Current number of rules: 19
% New rule produced :
% [20]
% inverse((B double_divide C) double_divide A) <->
% inverse(inverse(A) double_divide B) double_divide C
% Current number of equations to process: 90
% Current number of ordered equations: 270
% Current number of rules: 20
% New rule produced :
% [21]
% (inverse(B) double_divide A) double_divide C <->
% inverse(inverse(A) double_divide C) double_divide B
% Current number of equations to process: 90
% Current number of ordered equations: 269
% Current number of rules: 21
% New rule produced :
% [22]
% inverse(inverse(A) double_divide C) double_divide B <->
% (inverse(B) double_divide A) double_divide C
% Current number of equations to process: 90
% Current number of ordered equations: 268
% Current number of rules: 22
% New rule produced :
% [23]
% inverse(inverse(A) double_divide B) double_divide C <->
% inverse((B double_divide C) double_divide A)
% Current number of equations to process: 90
% Current number of ordered equations: 267
% Current number of rules: 23
% New rule produced :
% [24]
% inverse((inverse(C) double_divide A) double_divide (B double_divide C)) <->
% A double_divide B
% Current number of equations to process: 286
% Current number of ordered equations: 338
% Current number of rules: 24
% New rule produced :
% [25]
% A double_divide B <->
% inverse((inverse(C) double_divide A) double_divide (B double_divide C))
% Current number of equations to process: 286
% Current number of ordered equations: 337
% Current number of rules: 25
% New rule produced :
% [26]
% B double_divide C <->
% inverse(A double_divide C) double_divide (inverse(B) double_divide A)
% Current number of equations to process: 286
% Current number of ordered equations: 336
% Current number of rules: 26
% New rule produced :
% [27]
% inverse(A double_divide C) double_divide (inverse(B) double_divide A) <->
% B double_divide C
% Current number of equations to process: 286
% Current number of ordered equations: 335
% Current number of rules: 27
% New rule produced :
% [28]
% inverse(inverse((B double_divide C) double_divide C) double_divide A) <->
% inverse(A) double_divide B
% Current number of equations to process: 514
% Current number of ordered equations: 456
% Current number of rules: 28
% New rule produced :
% [29]
% inverse(A) double_divide B <->
% inverse(inverse((B double_divide C) double_divide C) double_divide A)
% Current number of equations to process: 514
% Current number of ordered equations: 455
% Current number of rules: 29
% New rule produced :
% [30]
% B <->
% inverse((inverse(B) double_divide A) double_divide ((A double_divide C) double_divide C))
% Current number of equations to process: 618
% Current number of ordered equations: 592
% Current number of rules: 30
% New rule produced :
% [31]
% C <->
% inverse((inverse(B) double_divide A) double_divide (B double_divide C)) double_divide A
% Current number of equations to process: 618
% Current number of ordered equations: 591
% Current number of rules: 31
% New rule produced :
% [32]
% C <->
% inverse((B double_divide C) double_divide A) double_divide (inverse(B) double_divide A)
% Current number of equations to process: 618
% Current number of ordered equations: 590
% Current number of rules: 32
% New rule produced :
% [33]
% inverse((inverse(C) double_divide A) double_divide ((A double_divide B) double_divide B))
% <-> C
% Current number of equations to process: 618
% Current number of ordered equations: 588
% Current number of rules: 33
% New rule produced :
% [34]
% inverse(B) double_divide inverse(C) <->
% inverse(inverse(C) double_divide A) double_divide (A double_divide B)
% Current number of equations to process: 618
% Current number of ordered equations: 587
% Current number of rules: 34
% New rule produced :
% [35]
% inverse(inverse(C) double_divide A) double_divide (A double_divide B) <->
% inverse(B) double_divide inverse(C)
% Current number of equations to process: 618
% Current number of ordered equations: 586
% Current number of rules: 35
% New rule produced :
% [36]
% inverse((inverse(B) double_divide A) double_divide (B double_divide C)) double_divide A
% <-> C
% Current number of equations to process: 618
% Current number of ordered equations: 585
% Current number of rules: 36
% New rule produced :
% [37]
% inverse((B double_divide C) double_divide A) double_divide (inverse(B) double_divide A)
% <-> C
% Current number of equations to process: 618
% Current number of ordered equations: 584
% Current number of rules: 37
% New rule produced :
% [38]
% C <->
% inverse(inverse(((inverse(B) double_divide C) double_divide A) double_divide B) double_divide A)
% Current number of equations to process: 1364
% Current number of ordered equations: 1015
% Current number of rules: 38
% New rule produced :
% [39]
% C <->
% inverse(((inverse(A) double_divide B) double_divide (inverse(B) double_divide C)) double_divide A)
% Current number of equations to process: 1364
% Current number of ordered equations: 1014
% Current number of rules: 39
% New rule produced :
% [40]
% C <->
% inverse(inverse(inverse(C) double_divide A) double_divide (A double_divide B)) double_divide B
% Current number of equations to process: 1364
% Current number of ordered equations: 1013
% Current number of rules: 40
% New rule produced :
% [41]
% inverse(inverse(((inverse(B) double_divide C) double_divide A) double_divide B) double_divide A)
% <-> C
% Current number of equations to process: 1364
% Current number of ordered equations: 1012
% Current number of rules: 41
% New rule produced :
% [42]
% inverse(((inverse(A) double_divide B) double_divide (inverse(B) double_divide C)) double_divide A)
% <-> C
% Current number of equations to process: 1364
% Current number of ordered equations: 1011
% Current number of rules: 42
% New rule produced :
% [43]
% inverse(inverse(inverse(C) double_divide A) double_divide (A double_divide B)) double_divide B
% <-> C
% Current number of equations to process: 1364
% Current number of ordered equations: 1010
% Current number of rules: 43
% New rule produced :
% [44]
% inverse(inverse(inverse(B) double_divide C) double_divide (inverse(B) double_divide A))
% <-> inverse(C) double_divide A
% Current number of equations to process: 2153
% Current number of ordered equations: 1378
% Current number of rules: 44
% New rule produced :
% [45]
% inverse(C) double_divide A <->
% inverse(inverse(inverse(B) double_divide C) double_divide (inverse(B) double_divide A))
% Current number of equations to process: 2153
% Current number of ordered equations: 1377
% Current number of rules: 45
% New rule produced :
% [46]
% C <->
% inverse(inverse((inverse(A) double_divide B) double_divide C) double_divide 
% (inverse(B) double_divide A))
% Current number of equations to process: 2391
% Current number of ordered equations: 1612
% Current number of rules: 46
% New rule produced :
% [47]
% inverse(inverse((B double_divide C) double_divide V_3) double_divide A) <->
% inverse(((inverse(B) double_divide V_3) double_divide C) double_divide A)
% Current number of equations to process: 2391
% Current number of ordered equations: 1611
% Current number of rules: 47
% New rule produced :
% [48]
% inverse(inverse((inverse(A) double_divide B) double_divide C) double_divide 
% (inverse(B) double_divide A)) <-> C
% Current number of equations to process: 2391
% Current number of ordered equations: 1610
% Current number of rules: 48
% New rule produced :
% [49]
% inverse(((inverse(B) double_divide V_3) double_divide C) double_divide A) <->
% inverse(inverse((B double_divide C) double_divide V_3) double_divide A)
% Current number of equations to process: 2391
% Current number of ordered equations: 1609
% Current number of rules: 49
% New rule produced :
% [50]
% inverse(inverse(inverse(inverse(B) double_divide inverse(C)) double_divide C) double_divide A)
% <-> inverse(A) double_divide B
% Current number of equations to process: 3007
% Current number of ordered equations: 2127
% Current number of rules: 50
% New rule produced :
% [51]
% inverse(A) double_divide B <->
% inverse(inverse(inverse(inverse(B) double_divide inverse(C)) double_divide C) double_divide A)
% Current number of equations to process: 3007
% Current number of ordered equations: 2126
% Current number of rules: 51
% New rule produced :
% [52]
% inverse(inverse(inverse(B double_divide V_3) double_divide (B double_divide C)) double_divide A)
% <-> (A double_divide V_3) double_divide C
% Current number of equations to process: 3303
% Current number of ordered equations: 2430
% Current number of rules: 52
% New rule produced :
% [53]
% (A double_divide V_3) double_divide C <->
% inverse(inverse(inverse(B double_divide V_3) double_divide (B double_divide C)) double_divide A)
% Current number of equations to process: 3303
% Current number of ordered equations: 2429
% Current number of rules: 53
% New rule produced :
% [54]
% inverse((B double_divide C) double_divide V_3) <->
% inverse(V_3) double_divide (inverse(inverse(C) double_divide A) double_divide 
% (A double_divide B))
% Current number of equations to process: 3597
% Current number of ordered equations: 2929
% Current number of rules: 54
% New rule produced :
% [55]
% inverse(inverse(inverse(A) double_divide (inverse(B) double_divide V_3)) double_divide C)
% <-> ((inverse(C) double_divide A) double_divide B) double_divide V_3
% Current number of equations to process: 3597
% Current number of ordered equations: 2928
% Current number of rules: 55
% New rule produced :
% [56]
% inverse(V_3) double_divide (inverse(inverse(C) double_divide A) double_divide 
% (A double_divide B)) <->
% inverse((B double_divide C) double_divide V_3)
% Current number of equations to process: 3597
% Current number of ordered equations: 2927
% Current number of rules: 56
% New rule produced :
% [57]
% ((inverse(C) double_divide A) double_divide B) double_divide V_3 <->
% inverse(inverse(inverse(A) double_divide (inverse(B) double_divide V_3)) double_divide C)
% Current number of equations to process: 3597
% Current number of ordered equations: 2926
% Current number of rules: 57
% New rule produced :
% [58]
% inverse(((inverse(C) double_divide B) double_divide (inverse(V_3) double_divide C)) double_divide A)
% <-> inverse((inverse(A) double_divide V_3) double_divide B)
% Current number of equations to process: 4522
% Current number of ordered equations: 3372
% Current number of rules: 58
% New rule produced :
% [59]
% inverse((inverse(A) double_divide V_3) double_divide B) <->
% inverse(((inverse(C) double_divide B) double_divide (inverse(V_3) double_divide C)) double_divide A)
% Current number of equations to process: 4522
% Current number of ordered equations: 3371
% Current number of rules: 59
% New rule produced :
% [60]
% inverse((A double_divide C) double_divide B) <->
% inverse(inverse(inverse(inverse(A) double_divide V_3) double_divide (C double_divide V_3)) double_divide B)
% Current number of equations to process: 2343
% Current number of ordered equations: 4002
% Current number of rules: 60
% New rule produced :
% [61]
% inverse(inverse(inverse(inverse(A) double_divide V_3) double_divide (C double_divide V_3)) double_divide B)
% <-> inverse((A double_divide C) double_divide B)
% Current number of equations to process: 2343
% Current number of ordered equations: 4001
% Current number of rules: 61
% New rule produced :
% [62]
% inverse((inverse(c3 double_divide inverse(A double_divide B)) double_divide 
% (c3 double_divide A)) double_divide C) <-> inverse(C) double_divide B
% Current number of equations to process: 2343
% Current number of ordered equations: 4000
% Current number of rules: 62
% New rule produced :
% [63]
% inverse(C) double_divide B <->
% inverse((inverse(c3 double_divide inverse(A double_divide B)) double_divide 
% (c3 double_divide A)) double_divide C)
% Current number of equations to process: 2343
% Current number of ordered equations: 3999
% Current number of rules: 63
% New rule produced :
% [64]
% A <->
% inverse(inverse((inverse(inverse(B double_divide B) double_divide (B double_divide C)) double_divide C) double_divide B) double_divide A)
% Current number of equations to process: 2700
% Current number of ordered equations: 5802
% Current number of rules: 64
% New rule produced :
% [65]
% inverse(inverse(A) double_divide C) <->
% inverse(inverse(inverse(c3 double_divide (inverse(V_3) double_divide A)) double_divide 
% (c3 double_divide V_3)) double_divide C)
% Current number of equations to process: 2700
% Current number of ordered equations: 5801
% Current number of rules: 65
% New rule produced :
% [66]
% inverse(inverse((inverse(inverse(B double_divide B) double_divide (B double_divide C)) double_divide C) double_divide B) double_divide A)
% <-> A
% Current number of equations to process: 2700
% Current number of ordered equations: 5800
% Current number of rules: 66
% New rule produced :
% [67]
% inverse(inverse(inverse(c3 double_divide (inverse(V_3) double_divide A)) double_divide 
% (c3 double_divide V_3)) double_divide C) <->
% inverse(inverse(A) double_divide C)
% Current number of equations to process: 2700
% Current number of ordered equations: 5799
% Current number of rules: 67
% New rule produced :
% [68]
% inverse(inverse(((B double_divide C) double_divide V_3) double_divide 
% (C double_divide V_4)) double_divide A) <->
% inverse(((inverse(V_4) double_divide B) double_divide V_3) double_divide A)
% Current number of equations to process: 2700
% Current number of ordered equations: 5798
% Current number of rules: 68
% New rule produced :
% [69]
% inverse(((inverse(V_4) double_divide B) double_divide V_3) double_divide A)
% <->
% inverse(inverse(((B double_divide C) double_divide V_3) double_divide 
% (C double_divide V_4)) double_divide A)
% Current number of equations to process: 2700
% Current number of ordered equations: 5797
% Current number of rules: 69
% New rule produced :
% [70]
% C <->
% inverse(inverse(inverse(c3 double_divide inverse(A double_divide B)) double_divide 
% (c3 double_divide B)) double_divide (inverse(C) double_divide A))
% Current number of equations to process: 3887
% Current number of ordered equations: 7661
% Current number of rules: 70
% New rule produced :
% [71]
% inverse(inverse(inverse(c3 double_divide inverse(A double_divide B)) double_divide 
% (c3 double_divide B)) double_divide (inverse(C) double_divide A))
% <-> C
% Current number of equations to process: 3887
% Current number of ordered equations: 7660
% Current number of rules: 71
% New rule produced : [72] (eq)(A,inverse(inverse(A))) -> (false)
% Current number of equations to process: 3887
% Current number of ordered equations: 7658
% Current number of rules: 72
% New rule produced : [73] A <-> inverse(inverse(inverse(inverse(A))))
% Current number of equations to process: 3887
% Current number of ordered equations: 7657
% Current number of rules: 73
% New rule produced : [74] inverse(inverse(inverse(inverse(A)))) <-> A
% Current number of equations to process: 3887
% Current number of ordered equations: 7656
% Current number of rules: 74
% New rule produced : [75] inverse(A multiply B) <-> A double_divide B
% Current number of equations to process: 3887
% Current number of ordered equations: 7654
% Current number of rules: 75
% New rule produced : [76] A double_divide B <-> inverse(A multiply B)
% Current number of equations to process: 3887
% Current number of ordered equations: 7652
% Current number of rules: 76
% New rule produced : [77] inverse(A) <-> (A double_divide B) multiply B
% Current number of equations to process: 3887
% Current number of ordered equations: 7651
% Current number of rules: 77
% New rule produced : [78] (A double_divide B) multiply B <-> inverse(A)
% Current number of equations to process: 3887
% Current number of ordered equations: 7650
% Current number of rules: 78
% New rule produced : [79] inverse(A) multiply B <-> inverse(B) double_divide A
% Current number of equations to process: 3887
% Current number of ordered equations: 7649
% Current number of rules: 79
% New rule produced : [80] inverse(B) double_divide A <-> inverse(A) multiply B
% Current number of equations to process: 3887
% Current number of ordered equations: 7648
% Current number of rules: 80
% New rule produced :
% [81] inverse(inverse(A)) <-> (A double_divide B) double_divide B
% Current number of equations to process: 3887
% Current number of ordered equations: 7638
% Current number of rules: 81
% New rule produced :
% [82] (A double_divide B) double_divide B <-> inverse(inverse(A))
% Current number of equations to process: 3887
% Current number of ordered equations: 7628
% Current number of rules: 82
% New rule produced : [83] A multiply B <-> inverse(A) double_divide inverse(B)
% Current number of equations to process: 3887
% Current number of ordered equations: 7627
% Current number of rules: 83
% New rule produced : [84] inverse(A) double_divide inverse(B) <-> A multiply B
% Current number of equations to process: 3887
% Current number of ordered equations: 7626
% Current number of rules: 84
% New rule produced : [85] inverse(A) multiply inverse(B) <-> A double_divide B
% Current number of equations to process: 3887
% Current number of ordered equations: 7625
% Current number of rules: 85
% New rule produced : [86] A double_divide B <-> inverse(A) multiply inverse(B)
% Current number of equations to process: 3887
% Current number of ordered equations: 7624
% Current number of rules: 86
% New rule produced :
% [87] inverse(inverse(A) double_divide A) <-> inverse(B) multiply B
% Current number of equations to process: 3887
% Current number of ordered equations: 7623
% Current number of rules: 87
% New rule produced :
% [88] inverse(B) multiply B <-> inverse(inverse(A) double_divide A)
% Current number of equations to process: 3887
% Current number of ordered equations: 7622
% Current number of rules: 88
% New rule produced :
% [89] inverse(inverse(A) double_divide A) <-> inverse(B) double_divide B
% Current number of equations to process: 3887
% Current number of ordered equations: 7609
% Current number of rules: 89
% New rule produced :
% [90] inverse(B) double_divide B <-> inverse(inverse(A) double_divide A)
% Current number of equations to process: 3887
% Current number of ordered equations: 7596
% Current number of rules: 90
% New rule produced :
% [91] inverse(B) <-> (inverse(A) multiply B) double_divide A
% Current number of equations to process: 3887
% Current number of ordered equations: 7595
% Current number of rules: 91
% New rule produced :
% [92] (inverse(A) multiply B) double_divide A <-> inverse(B)
% Current number of equations to process: 3887
% Current number of ordered equations: 7594
% Current number of rules: 92
% New rule produced :
% [93] a3 multiply (c3 multiply b3) <-> c3 multiply (b3 multiply a3)
% Current number of equations to process: 3887
% Current number of ordered equations: 7593
% Current number of rules: 93
% New rule produced :
% [94] c3 multiply (b3 multiply a3) <-> a3 multiply (c3 multiply b3)
% Current number of equations to process: 3887
% Current number of ordered equations: 7592
% Current number of rules: 94
% New rule produced :
% [95]
% (A double_divide B) double_divide A <-> (B double_divide C) double_divide C
% Current number of equations to process: 3887
% Current number of ordered equations: 7582
% Current number of rules: 95
% New rule produced :
% [96] A <-> inverse((inverse(A) double_divide B) double_divide B)
% Current number of equations to process: 3887
% Current number of ordered equations: 7570
% Current number of rules: 96
% New rule produced :
% [97] A <-> (inverse(inverse(A)) double_divide B) double_divide B
% Current number of equations to process: 3887
% Current number of ordered equations: 7565
% Current number of rules: 97
% New rule produced :
% [98] inverse((inverse(A) double_divide B) double_divide B) <-> A
% CurreCputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------