TSTP Solution File: GRP408-1 by CiME---2.01

View Problem - Process Solution 
%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : GRP408-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n159.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 00:22:53 EDT 2014

% Result   : Unsatisfiable 220.26s
% Output   : Refutation 220.26s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : GRP408-1 : TPTP v6.0.0. Released v2.6.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n159.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 12:41:48 CDT 2014
% % CPUTime  : 220.26 
% Processing problem /tmp/CiME_22192_n159.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " c3,b3,a3 : constant;  inverse : 1;  multiply : 2;";
% let X = vars "A B C";
% let Axioms = equations F X "
% multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(B),multiply(inverse(B),B))))) = C;
% ";
% 
% let s1 = status F "
% c3 lr_lex;
% b3 lr_lex;
% a3 lr_lex;
% inverse lr_lex;
% multiply lr_lex;
% ";
% 
% let p1 = precedence F "
% multiply > inverse > a3 > b3 > c3";
% 
% let s2 = status F "
% c3 mul;
% b3 mul;
% a3 mul;
% inverse mul;
% multiply mul;
% ";
% 
% let p2 = precedence F "
% multiply > 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 = { multiply(A,inverse(multiply(inverse(multiply(
% inverse(
% multiply(A,B)),C)),
% multiply(inverse(B),multiply(
% inverse(B),B)))))
% = C } (1 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,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),
% multiply(inverse(B),multiply(inverse(B),B))))) -> C
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 1
% New rule produced :
% [2]
% inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,C)),V_3)),B)),
% multiply(inverse(V_3),multiply(inverse(V_3),V_3)))) ->
% multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),multiply(inverse(C),C)))))
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [3]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(C),
% multiply(inverse(B),
% multiply(inverse(B),B))))))
% -> C
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced :
% [4]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(
% inverse(V_3),
% multiply(
% inverse(V_4),
% multiply(
% inverse(V_4),V_4)))))))
% <-> multiply(inverse(multiply(inverse(multiply(C,V_4)),B)),V_3)
% Current number of equations to process: 16
% Current number of ordered equations: 1
% Current number of rules: 4
% New rule produced :
% [5]
% multiply(inverse(multiply(inverse(multiply(C,V_4)),B)),V_3) <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(
% inverse(V_3),
% multiply(
% inverse(V_4),
% multiply(
% inverse(V_4),V_4)))))))
% Rule
% [1]
% multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),
% multiply(inverse(B),multiply(inverse(B),B))))) -> C
% collapsed.
% Rule
% [2]
% inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,C)),V_3)),B)),
% multiply(inverse(V_3),multiply(inverse(V_3),V_3)))) ->
% multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),multiply(inverse(C),C)))))
% collapsed.
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced :
% [6]
% multiply(A,inverse(multiply(inverse(multiply(A,C)),multiply(A,multiply(A,
% inverse(
% multiply(
% inverse(
% multiply(
% inverse(B),
% multiply(
% inverse(B),B))),
% multiply(
% inverse(B),
% multiply(
% inverse(B),B)))))))))
% -> C
% Current number of equations to process: 17
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced :
% [7]
% multiply(A,inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(A,
% inverse(
% multiply(
% inverse(C),C)))))))
% -> B
% Rule
% [6]
% multiply(A,inverse(multiply(inverse(multiply(A,C)),multiply(A,multiply(A,
% inverse(
% multiply(
% inverse(
% multiply(
% inverse(B),
% multiply(
% inverse(B),B))),
% multiply(
% inverse(B),
% multiply(
% inverse(B),B)))))))))
% -> C collapsed.
% Current number of equations to process: 50
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced :
% [8]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(
% multiply(
% inverse(A),A)))),B)
% -> multiply(inverse(inverse(multiply(inverse(A),A))),B)
% Current number of equations to process: 60
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [9]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A)))
% -> inverse(multiply(inverse(A),A))
% Rule
% [8]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),inverse(
% multiply(
% inverse(A),A)))),B)
% -> multiply(inverse(inverse(multiply(inverse(A),A))),B) collapsed.
% Current number of equations to process: 69
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [10]
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),inverse(inverse(
% multiply(
% inverse(A),A))))
% -> inverse(inverse(multiply(inverse(A),A)))
% Current number of equations to process: 78
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [11]
% multiply(A,inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(A,
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B
% Current number of equations to process: 77
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [12]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(
% multiply(
% inverse(C),
% inverse(
% multiply(
% inverse(B),B))))))
% -> C
% Current number of equations to process: 81
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [13]
% multiply(A,inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% -> B
% Current number of equations to process: 88
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [14]
% multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),inverse(
% inverse(
% inverse(
% multiply(
% inverse(A),A)))))
% -> inverse(inverse(inverse(multiply(inverse(A),A))))
% Current number of equations to process: 92
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [15]
% multiply(A,inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% -> B
% Current number of equations to process: 109
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [16]
% multiply(inverse(multiply(A,B)),multiply(A,C)) <->
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(V_3),V_3))),B)),
% multiply(inverse(inverse(multiply(inverse(V_3),V_3))),C))
% Current number of equations to process: 108
% Current number of ordered equations: 1
% Current number of rules: 12
% Rule [16]
% multiply(inverse(multiply(A,B)),multiply(A,C)) <->
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(V_3),V_3))),B)),
% multiply(inverse(inverse(multiply(inverse(V_3),V_3))),C)) is composed into 
% [16]
% multiply(inverse(multiply(A,B)),multiply(A,C)) <->
% multiply(inverse(multiply(c3,B)),multiply(c3,C))
% New rule produced :
% [17]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(V_3),V_3))),B)),
% multiply(inverse(inverse(multiply(inverse(V_3),V_3))),C)) <->
% multiply(inverse(multiply(A,B)),multiply(A,C))
% Current number of equations to process: 108
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [18]
% multiply(inverse(inverse(inverse(inverse(inverse(multiply(inverse(A),A)))))),
% inverse(inverse(inverse(inverse(multiply(inverse(A),A)))))) ->
% inverse(inverse(inverse(inverse(multiply(inverse(A),A)))))
% Current number of equations to process: 107
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [19]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(
% inverse(
% multiply(
% inverse(B),B)))))
% -> inverse(multiply(inverse(B),B))
% Current number of equations to process: 124
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [20]
% multiply(A,inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))
% -> B
% Current number of equations to process: 143
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [21]
% inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(A,inverse(
% multiply(
% inverse(V_3),V_3))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,inverse(
% multiply(
% inverse(C),C)))))))
% Rule
% [7]
% multiply(A,inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(A,
% inverse(
% multiply(
% inverse(C),C)))))))
% -> B collapsed.
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [22]
% multiply(A,multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B
% Current number of equations to process: 159
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [23]
% multiply(inverse(multiply(A,inverse(inverse(multiply(inverse(B),B))))),
% multiply(A,inverse(multiply(inverse(C),inverse(inverse(multiply(inverse(B),B)))))))
% -> C
% Current number of equations to process: 179
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [24]
% multiply(A,inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))))
% -> B
% Current number of equations to process: 178
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [25]
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(c3,B)),
% multiply(c3,V_3))) ->
% multiply(inverse(multiply(c3,C)),multiply(c3,multiply(A,V_3)))
% Current number of equations to process: 187
% Current number of ordered equations: 2
% Current number of rules: 20
% New rule produced :
% [26]
% multiply(inverse(multiply(inverse(multiply(c3,A)),multiply(c3,B))),multiply(
% inverse(
% multiply(C,A)),V_3))
% <-> multiply(inverse(multiply(c3,multiply(C,B))),multiply(c3,V_3))
% Current number of equations to process: 187
% Current number of ordered equations: 1
% Current number of rules: 21
% New rule produced :
% [27]
% multiply(inverse(multiply(c3,multiply(C,B))),multiply(c3,V_3)) <->
% multiply(inverse(multiply(inverse(multiply(c3,A)),multiply(c3,B))),multiply(
% inverse(
% multiply(C,A)),V_3))
% Current number of equations to process: 187
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [28]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(multiply(c3,C)),
% multiply(c3,multiply(
% inverse(B),B))))))
% -> multiply(inverse(B),C)
% Current number of equations to process: 186
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [29]
% multiply(A,inverse(multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B
% Current number of equations to process: 202
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [30]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),B)),
% inverse(multiply(inverse(A),A))) ->
% multiply(inverse(multiply(c3,B)),multiply(c3,inverse(multiply(inverse(A),A))))
% Current number of equations to process: 200
% Current number of ordered equations: 1
% Current number of rules: 25
% New rule produced :
% [31]
% multiply(inverse(multiply(c3,inverse(multiply(inverse(A),A)))),multiply(c3,B))
% ->
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(inverse(
% multiply(
% inverse(A),A))),B))
% Current number of equations to process: 200
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [32]
% multiply(A,inverse(multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% -> B
% Current number of equations to process: 207
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [33]
% multiply(A,inverse(multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% -> B
% Current number of equations to process: 214
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [34]
% multiply(inverse(multiply(C,inverse(multiply(inverse(A),A)))),multiply(C,B))
% ->
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(inverse(
% multiply(
% inverse(A),A))),B))
% Rule
% [12]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(
% multiply(
% inverse(C),
% inverse(
% multiply(
% inverse(B),B))))))
% -> C collapsed.
% Rule
% [19]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(
% inverse(
% multiply(
% inverse(B),B)))))
% -> inverse(multiply(inverse(B),B)) collapsed.
% Rule
% [31]
% multiply(inverse(multiply(c3,inverse(multiply(inverse(A),A)))),multiply(c3,B))
% ->
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(inverse(
% multiply(
% inverse(A),A))),B))
% collapsed.
% Current number of equations to process: 221
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [35]
% multiply(inverse(inverse(multiply(inverse(B),B))),multiply(inverse(inverse(
% multiply(
% inverse(B),B))),
% inverse(inverse(multiply(
% inverse(B),B)))))
% -> inverse(multiply(inverse(B),B))
% Current number of equations to process: 222
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [36]
% multiply(A,inverse(multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))
% -> B
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [37]
% multiply(A,multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% -> B
% Current number of equations to process: 324
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [38]
% multiply(A,multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% -> B
% Current number of equations to process: 324
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [39]
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(C),C))))))
% <->
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% Current number of equations to process: 333
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [40]
% multiply(A,multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))
% -> B
% Current number of equations to process: 332
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [41]
% multiply(A,multiply(A,inverse(multiply(inverse(multiply(c3,B)),multiply(c3,
% multiply(A,
% inverse(
% multiply(
% inverse(C),C))))))))
% -> multiply(A,B)
% Current number of equations to process: 331
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [42]
% multiply(A,multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))))
% -> B
% Current number of equations to process: 330
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [43]
% inverse(multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(
% multiply(
% inverse(C),C))))))
% <->
% multiply(B,inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% Current number of equations to process: 327
% Current number of ordered equations: 1
% Current number of rules: 35
% New rule produced :
% [44]
% multiply(B,inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% inverse(multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(
% multiply(
% inverse(C),C))))))
% Current number of equations to process: 327
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [45]
% multiply(inverse(multiply(A,B)),inverse(multiply(inverse(multiply(C,V_3)),
% multiply(C,multiply(inverse(multiply(A,B)),
% inverse(multiply(inverse(V_4),V_4)))))))
% -> V_3
% Current number of equations to process: 326
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [46]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(
% multiply(c3,B)),
% multiply(c3,
% inverse(multiply(
% inverse(A),A))))))
% -> B
% Current number of equations to process: 325
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [47]
% multiply(inverse(inverse(multiply(inverse(B),B))),multiply(inverse(inverse(
% multiply(
% inverse(B),B))),
% inverse(multiply(inverse(C),
% inverse(multiply(
% inverse(B),B))))))
% -> C
% Current number of equations to process: 324
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [48]
% multiply(inverse(multiply(A,inverse(inverse(multiply(inverse(B),B))))),
% multiply(A,inverse(inverse(inverse(multiply(inverse(B),B)))))) ->
% inverse(inverse(multiply(inverse(B),B)))
% Current number of equations to process: 340
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [49]
% multiply(A,inverse(multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))))
% -> B
% Current number of equations to process: 382
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [50]
% multiply(A,multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))))
% -> B
% Current number of equations to process: 381
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [51]
% multiply(inverse(multiply(c3,multiply(C,A))),multiply(c3,multiply(C,B))) <->
% multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,multiply(c3,B)))
% Current number of equations to process: 404
% Current number of ordered equations: 1
% Current number of rules: 43
% New rule produced :
% [52]
% multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,multiply(c3,B)))
% <-> multiply(inverse(multiply(c3,multiply(C,A))),multiply(c3,multiply(C,B)))
% Current number of equations to process: 404
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [53]
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),inverse(multiply(
% inverse(
% multiply(c3,B)),
% multiply(c3,
% inverse(
% inverse(
% multiply(
% inverse(A),A)))))))
% -> B
% Current number of equations to process: 614
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [54]
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(C),C))))))
% <->
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(multiply(
% inverse(V_3),V_3)))))))
% Current number of equations to process: 887
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced :
% [55]
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(multiply(
% inverse(V_3),V_3)))))))
% <->
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(C),C))))))
% Rule
% [11]
% multiply(A,inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(A,
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B collapsed.
% Rule
% [37]
% multiply(A,multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% -> B collapsed.
% Current number of equations to process: 887
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [56]
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(C),C))))))
% <->
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))))
% Current number of equations to process: 928
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced :
% [57]
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))))
% <->
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(C),C))))))
% Rule
% [13]
% multiply(A,inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% -> B collapsed.
% Rule
% [38]
% multiply(A,multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% -> B collapsed.
% Current number of equations to process: 928
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [58]
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(C),C)))))
% Rule
% [39]
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(C),C))))))
% <->
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% collapsed.
% Current number of equations to process: 937
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [59]
% multiply(B,inverse(multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,
% inverse(
% multiply(
% inverse(C),C)))))))
% -> A
% Rule
% [41]
% multiply(A,multiply(A,inverse(multiply(inverse(multiply(c3,B)),multiply(c3,
% multiply(A,
% inverse(
% multiply(
% inverse(C),C))))))))
% -> multiply(A,B) collapsed.
% Current number of equations to process: 986
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [60]
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(C),C))))))
% <->
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))
% Current number of equations to process: 985
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced :
% [61]
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))
% <->
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(C),C))))))
% Rule
% [15]
% multiply(A,inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% -> B collapsed.
% Rule
% [40]
% multiply(A,multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))
% -> B collapsed.
% Current number of equations to process: 985
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [62]
% inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(A,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,inverse(
% multiply(
% inverse(C),C)))))))
% Current number of equations to process: 1021
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [63]
% multiply(A,inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))))
% -> B
% Current number of equations to process: 1115
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [64]
% multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),B)),
% inverse(inverse(multiply(inverse(A),A)))) ->
% multiply(inverse(multiply(c3,B)),multiply(c3,inverse(inverse(multiply(
% inverse(A),A)))))
% Current number of equations to process: 1113
% Current number of ordered equations: 1
% Current number of rules: 48
% New rule produced :
% [65]
% multiply(inverse(multiply(c3,inverse(inverse(multiply(inverse(A),A))))),
% multiply(c3,B)) ->
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),multiply(inverse(
% inverse(
% inverse(
% multiply(
% inverse(A),A)))),B))
% Current number of equations to process: 1113
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [66]
% multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% <->
% multiply(c3,inverse(multiply(inverse(B),multiply(c3,multiply(c3,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% Current number of equations to process: 1107
% Current number of ordered equations: 1
% Current number of rules: 50
% New rule produced :
% [67]
% multiply(c3,inverse(multiply(inverse(B),multiply(c3,multiply(c3,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% Current number of equations to process: 1107
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [68]
% multiply(A,inverse(multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))))
% -> B
% Current number of equations to process: 1105
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [69]
% multiply(inverse(multiply(A,inverse(inverse(multiply(inverse(B),B))))),
% multiply(A,C)) ->
% multiply(inverse(inverse(inverse(multiply(inverse(B),B)))),multiply(inverse(
% inverse(
% inverse(
% multiply(
% inverse(B),B)))),C))
% Rule
% [23]
% multiply(inverse(multiply(A,inverse(inverse(multiply(inverse(B),B))))),
% multiply(A,inverse(multiply(inverse(C),inverse(inverse(multiply(inverse(B),B)))))))
% -> C collapsed.
% Rule
% [48]
% multiply(inverse(multiply(A,inverse(inverse(multiply(inverse(B),B))))),
% multiply(A,inverse(inverse(inverse(multiply(inverse(B),B)))))) ->
% inverse(inverse(multiply(inverse(B),B))) collapsed.
% Rule
% [65]
% multiply(inverse(multiply(c3,inverse(inverse(multiply(inverse(A),A))))),
% multiply(c3,B)) ->
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),multiply(inverse(
% inverse(
% inverse(
% multiply(
% inverse(A),A)))),B))
% collapsed.
% Current number of equations to process: 1106
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [70]
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(multiply(inverse(A),A)))))),
% multiply(c3,multiply(c3,inverse(multiply(inverse(A),A))))) ->
% inverse(multiply(inverse(A),A))
% Current number of equations to process: 1101
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [71]
% multiply(A,multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))))))
% -> B
% Current number of equations to process: 1099
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [72]
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(C),C))))))
% <->
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))))
% Current number of equations to process: 1098
% Current number of ordered equations: 1
% Current number of rules: 53
% New rule produced :
% [73]
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))))
% <->
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(C),C))))))
% Rule
% [20]
% multiply(A,inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))
% -> B collapsed.
% Rule
% [42]
% multiply(A,multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))))
% -> B collapsed.
% Current number of equations to process: 1098
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [74]
% inverse(multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <->
% multiply(B,inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% Current number of equations to process: 1097
% Current number of ordered equations: 1
% Current number of rules: 53
% New rule produced :
% [75]
% multiply(B,inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% inverse(multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% Current number of equations to process: 1097
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [76]
% multiply(inverse(A),inverse(multiply(inverse(multiply(B,C)),multiply(B,
% multiply(
% inverse(A),
% inverse(multiply(
% inverse(V_3),V_3)))))))
% -> C
% Rule
% [45]
% multiply(inverse(multiply(A,B)),inverse(multiply(inverse(multiply(C,V_3)),
% multiply(C,multiply(inverse(multiply(A,B)),
% inverse(multiply(inverse(V_4),V_4)))))))
% -> V_3 collapsed.
% Current number of equations to process: 1106
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [77]
% multiply(c3,inverse(multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,
% multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% -> multiply(c3,B)
% Current number of equations to process: 1405
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [78]
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(multiply(inverse(C),C))))))
% Rule
% [54]
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(C),C))))))
% <->
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(multiply(
% inverse(V_3),V_3)))))))
% collapsed.
% Current number of equations to process: 1446
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [79]
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(multiply(
% inverse(C),C)))))))
% Rule
% [56]
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(C),C))))))
% <->
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))))
% collapsed.
% Current number of equations to process: 1514
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [80]
% inverse(multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,multiply(c3,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(B),B))))))))
% -> A
% Current number of equations to process: 1570
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [81]
% inverse(multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B
% Rule
% [77]
% multiply(c3,inverse(multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,
% multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% -> multiply(c3,B) collapsed.
% Rule
% [80]
% inverse(multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,multiply(c3,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(B),B))))))))
% -> A collapsed.
% Current number of equations to process: 1570
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [82]
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(inverse(
% multiply(
% inverse(C),C))))))))
% Rule
% [60]
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(C),C))))))
% <->
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))
% collapsed.
% Current number of equations to process: 1652
% Current number of ordered equations: 1
% Current number of rules: 55
% New rule produced :
% [83]
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(inverse(
% multiply(
% inverse(C),C))))))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% Rule
% [61]
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))
% <->
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(C),C))))))
% collapsed.
% Current number of equations to process: 1652
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [84]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(multiply(
% inverse(C),C)))))
% Current number of equations to process: 1651
% Current number of ordered equations: 1
% Current number of rules: 56
% New rule produced :
% [85]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% Current number of equations to process: 1651
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [86]
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% Rule
% [72]
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(C),C))))))
% <->
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))))
% collapsed.
% Current number of equations to process: 1649
% Current number of ordered equations: 1
% Current number of rules: 57
% New rule produced :
% [87]
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% Rule
% [73]
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))))
% <->
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(C),C))))))
% collapsed.
% Current number of equations to process: 1649
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [88]
% multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,inverse(
% multiply(
% inverse(C),C)))))))
% <->
% multiply(c3,inverse(multiply(inverse(B),multiply(c3,multiply(c3,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% Current number of equations to process: 1650
% Current number of ordered equations: 1
% Current number of rules: 58
% New rule produced :
% [89]
% multiply(c3,inverse(multiply(inverse(B),multiply(c3,multiply(c3,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,inverse(
% multiply(
% inverse(C),C)))))))
% Current number of equations to process: 1650
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [90]
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% Current number of equations to process: 1649
% Current number of ordered equations: 1
% Current number of rules: 60
% New rule produced :
% [91]
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% Current number of equations to process: 1649
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [92]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(multiply(c3,
% multiply(c3,C))),
% multiply(c3,multiply(c3,B))))))
% -> multiply(inverse(B),multiply(inverse(B),C))
% Current number of equations to process: 1648
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [93]
% multiply(c3,inverse(multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,
% multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% -> multiply(c3,B)
% Current number of equations to process: 1647
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [94]
% multiply(c3,multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% -> B
% Current number of equations to process: 1895
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [95]
% multiply(inverse(multiply(c3,multiply(A,inverse(inverse(multiply(inverse(B),B)))))),
% multiply(c3,multiply(A,inverse(multiply(inverse(B),B))))) ->
% inverse(multiply(inverse(B),B))
% Rule
% [70]
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(multiply(inverse(A),A)))))),
% multiply(c3,multiply(c3,inverse(multiply(inverse(A),A))))) ->
% inverse(multiply(inverse(A),A)) collapsed.
% Current number of equations to process: 2101
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [96]
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(multiply(inverse(A),A)))))),
% multiply(c3,multiply(c3,inverse(multiply(inverse(B),B))))) ->
% inverse(multiply(inverse(A),A))
% Current number of equations to process: 2100
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [97]
% multiply(inverse(A),inverse(multiply(inverse(multiply(B,C)),multiply(B,
% multiply(
% inverse(A),
% inverse(inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))
% -> C
% Current number of equations to process: 2312
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [98]
% multiply(inverse(A),inverse(multiply(inverse(multiply(B,C)),multiply(B,
% multiply(
% inverse(A),
% inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))))
% -> C
% Current number of equations to process: 2315
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced :
% [99]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(
% multiply(B,C)),
% multiply(B,
% inverse(multiply(
% inverse(A),A))))))
% -> C
% Rule
% [46]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(
% multiply(c3,B)),
% multiply(c3,
% inverse(multiply(
% inverse(A),A))))))
% -> B collapsed.
% Current number of equations to process: 2315
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [100]
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(multiply(inverse(V_3),V_3))))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(multiply(
% inverse(C),C)))))))
% Current number of equations to process: 2373
% Current number of ordered equations: 1
% Current number of rules: 68
% New rule produced :
% [101]
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(multiply(
% inverse(C),C)))))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(multiply(inverse(V_3),V_3))))))
% Rule
% [57]
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))))
% <->
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(C),C))))))
% collapsed.
% Current number of equations to process: 2373
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [102]
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(multiply(inverse(V_3),V_3))))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(inverse(
% multiply(
% inverse(C),C))))))))
% Current number of equations to process: 2372
% Current number of ordered equations: 1
% Current number of rules: 69
% New rule produced :
% [103]
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(inverse(
% multiply(
% inverse(C),C))))))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(multiply(inverse(V_3),V_3))))))
% Current number of equations to process: 2372
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [104]
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(multiply(inverse(V_3),V_3))))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(multiply(inverse(C),C))))))
% Current number of equations to process: 2375
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [105]
% multiply(A,multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% -> B
% Current number of equations to process: 2416
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [106]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(multiply(
% inverse(C),C)))))
% Current number of equations to process: 2415
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [107]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))
% Current number of equations to process: 2415
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [108]
% multiply(A,multiply(A,inverse(multiply(inverse(C),C)))) <->
% multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(B),B))))))
% Rule
% [79]
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(multiply(
% inverse(C),C)))))))
% collapsed.
% Current number of equations to process: 2466
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [109]
% inverse(multiply(A,multiply(B,multiply(B,inverse(inverse(multiply(inverse(C),C)))))))
% <->
% inverse(multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% Rule
% [55]
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(multiply(
% inverse(V_3),V_3)))))))
% <->
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(C),C))))))
% collapsed.
% Rule
% [62]
% inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(A,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,inverse(
% multiply(
% inverse(C),C)))))))
% collapsed.
% Current number of equations to process: 2467
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [110]
% inverse(multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% -> B
% Current number of equations to process: 2474
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [111]
% inverse(multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% -> B
% Rule
% [93]
% multiply(c3,inverse(multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,
% multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% -> multiply(c3,B) collapsed.
% Current number of equations to process: 2494
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [112]
% multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3))))) <->
% multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(C),C)))))
% Rule
% [58]
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(C),C)))))
% collapsed.
% Current number of equations to process: 2525
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [113]
% multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,multiply(A,
% inverse(
% multiply(
% inverse(V_3),V_3)))))))
% -> C
% Rule
% [59]
% multiply(B,inverse(multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,
% inverse(
% multiply(
% inverse(C),C)))))))
% -> A collapsed.
% Rule
% [76]
% multiply(inverse(A),inverse(multiply(inverse(multiply(B,C)),multiply(B,
% multiply(
% inverse(A),
% inverse(multiply(
% inverse(V_3),V_3)))))))
% -> C collapsed.
% Current number of equations to process: 2543
% Current number of ordered equations: 0
% Current number of rules: 73
% Rule [104]
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(multiply(
% inverse(V_3),V_3))))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(multiply(
% inverse(C),C)))))) is composed into 
% [104]
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(multiply(inverse(V_3),V_3))))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(C),C)))))
% Rule [78]
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(multiply(
% inverse(C),C)))))) is composed into 
% [78]
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(C),C)))))
% New rule produced :
% [114]
% multiply(A,multiply(B,multiply(B,inverse(inverse(multiply(inverse(V_3),V_3))))))
% <-> multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(C),C)))))
% Rule
% [109]
% inverse(multiply(A,multiply(B,multiply(B,inverse(inverse(multiply(inverse(C),C)))))))
% <->
% inverse(multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% collapsed.
% Current number of equations to process: 2543
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [115]
% multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(C),C))))) <->
% multiply(A,multiply(B,multiply(B,inverse(inverse(multiply(inverse(V_3),V_3))))))
% Current number of equations to process: 2543
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [116]
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(inverse(multiply(
% inverse(V_3),V_3)))))))
% <->
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(inverse(inverse(
% multiply(
% inverse(C),C))))))))
% Current number of equations to process: 2544
% Current number of ordered equations: 3
% Current number of rules: 75
% New rule produced :
% [117]
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(inverse(inverse(
% multiply(
% inverse(C),C))))))))
% <->
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(inverse(multiply(
% inverse(V_3),V_3)))))))
% Current number of equations to process: 2544
% Current number of ordered equations: 2
% Current number of rules: 76
% New rule produced :
% [118]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(inverse(
% multiply(
% inverse(C),C))))))))
% <->
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(V_3),V_3)))))))
% Rule
% [66]
% multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% <->
% multiply(c3,inverse(multiply(inverse(B),multiply(c3,multiply(c3,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% collapsed.
% Current number of equations to process: 2544
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [119]
% multiply(inverse(A),inverse(multiply(inverse(multiply(B,C)),multiply(B,
% multiply(
% inverse(A),
% inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))))
% -> C
% Current number of equations to process: 2542
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [120]
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(multiply(inverse(V_3),V_3))))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% Current number of equations to process: 2541
% Current number of ordered equations: 1
% Current number of rules: 78
% New rule produced :
% [121]
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(multiply(inverse(V_3),V_3))))))
% Current number of equations to process: 2541
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [122]
% inverse(multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))
% -> B
% Current number of equations to process: 2540
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [123]
% multiply(A,multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))
% -> B
% Current number of equations to process: 2547
% Current number of ordered equations: 0
% Current number of rules: 81
% Rule [102]
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(multiply(
% inverse(V_3),V_3))))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))) is composed into 
% [102]
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(multiply(inverse(V_3),V_3))))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(C),C)))))
% Rule [82]
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))) is composed into 
% [82]
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(C),C)))))
% New rule produced :
% [124]
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(inverse(multiply(
% inverse(V_3),V_3))))))))
% <-> multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(C),C)))))
% Rule
% [83]
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(inverse(
% multiply(
% inverse(C),C))))))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% collapsed.
% Rule
% [103]
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(inverse(
% multiply(
% inverse(C),C))))))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(multiply(inverse(V_3),V_3))))))
% collapsed.
% Rule
% [123]
% multiply(A,multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))
% -> B collapsed.
% Current number of equations to process: 2581
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced :
% [125]
% multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(C),C))))) <->
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(inverse(multiply(
% inverse(V_3),V_3))))))))
% Current number of equations to process: 2581
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [126]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% Current number of equations to process: 2600
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [127]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% multiply(
% inverse(C),C))))))
% Current number of equations to process: 2676
% Current number of ordered equations: 1
% Current number of rules: 82
% New rule produced :
% [128]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% multiply(
% inverse(C),C))))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% Current number of equations to process: 2676
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [129]
% multiply(A,multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))))
% -> B
% Current number of equations to process: 2688
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [130]
% multiply(inverse(multiply(c3,multiply(c3,multiply(B,inverse(inverse(inverse(
% multiply(
% inverse(V_3),V_3)))))))),
% multiply(c3,C)) <->
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),C))
% Current number of equations to process: 2688
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [131]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),C)) <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),C))
% Current number of equations to process: 2687
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [132]
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),C)) <->
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),C))
% Current number of equations to process: 2687
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [133]
% multiply(inverse(multiply(c3,multiply(B,multiply(C,inverse(inverse(inverse(
% multiply(
% inverse(V_4),V_4)))))))),
% multiply(c3,V_3)) <->
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),V_3))
% Rule
% [130]
% multiply(inverse(multiply(c3,multiply(c3,multiply(B,inverse(inverse(inverse(
% multiply(
% inverse(V_3),V_3)))))))),
% multiply(c3,C)) <->
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),C)) collapsed.
% Current number of equations to process: 2687
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [134]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),V_3)) <->
% multiply(c3,multiply(inverse(multiply(B,multiply(C,c3))),V_3))
% Rule
% [131]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),C)) <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),C)) collapsed.
% Current number of equations to process: 2686
% Current number of ordered equations: 1
% Current number of rules: 87
% New rule produced :
% [135]
% multiply(c3,multiply(inverse(multiply(B,multiply(C,c3))),V_3)) <->
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),V_3))
% Rule
% [132]
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),C)) <->
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),C)) collapsed.
% Current number of equations to process: 2686
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [136]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,inverse(multiply(
% inverse(V_3),V_3)))))
% Current number of equations to process: 2685
% Current number of ordered equations: 1
% Current number of rules: 88
% New rule produced :
% [137]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% Current number of equations to process: 2685
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [138]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% Current number of equations to process: 2684
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced :
% [139]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% Current number of equations to process: 2684
% Current number of ordered equations: 0
% Current number of rules: 91
% Rule [120]
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(multiply(
% inverse(V_3),V_3))))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))) is composed into 
% [120]
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(multiply(inverse(V_3),V_3))))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(C),C)))))
% Rule [86]
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))) is composed into 
% [86]
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(C),C)))))
% New rule produced :
% [140]
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(inverse(inverse(
% multiply(
% inverse(V_3),V_3)))))))))
% <-> multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(C),C)))))
% Rule
% [87]
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% collapsed.
% Rule
% [121]
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(multiply(inverse(V_3),V_3))))))
% collapsed.
% Rule
% [129]
% multiply(A,multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))))
% -> B collapsed.
% Current number of equations to process: 2727
% Current number of ordered equations: 1
% Current number of rules: 89
% New rule produced :
% [141]
% multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(C),C))))) <->
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(inverse(inverse(
% multiply(
% inverse(V_3),V_3)))))))))
% Current number of equations to process: 2727
% Current number of ordered equations: 0
% Current number of rules: 90
% Rule [117]
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% <->
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))) is composed into 
% [117]
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(inverse(inverse(
% multiply(
% inverse(C),C))))))))
% <->
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% New rule produced :
% [142]
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(inverse(multiply(
% inverse(C),C)))))))
% <->
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% Rule
% [116]
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(inverse(multiply(
% inverse(V_3),V_3)))))))
% <->
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(inverse(inverse(
% multiply(
% inverse(C),C))))))))
% collapsed.
% Current number of equations to process: 2777
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced :
% [143]
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% <->
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(inverse(multiply(
% inverse(C),C)))))))
% Current number of equations to process: 2777
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [144]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(multiply(
% inverse(C),C)))))))
% <->
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(V_3),V_3)))))))
% Rule
% [88]
% multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,inverse(
% multiply(
% inverse(C),C)))))))
% <->
% multiply(c3,inverse(multiply(inverse(B),multiply(c3,multiply(c3,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% collapsed.
% Current number of equations to process: 2776
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [145]
% multiply(c3,multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B
% Current number of equations to process: 2776
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [146]
% multiply(inverse(A),inverse(multiply(inverse(multiply(B,C)),multiply(B,
% multiply(
% inverse(A),
% inverse(inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))))
% -> C
% Current number of equations to process: 2815
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [147]
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(multiply(inverse(V_3),V_3))))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% Current number of equations to process: 2814
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [148]
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(multiply(inverse(V_3),V_3))))))
% Current number of equations to process: 2814
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [149]
% inverse(multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))))
% -> B
% Current number of equations to process: 2813
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [150]
% multiply(C,inverse(multiply(inverse(A),multiply(c3,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(c3,inverse(multiply(inverse(A),multiply(c3,multiply(c3,inverse(
% inverse(
% multiply(
% inverse(B),B))))))))
% Current number of equations to process: 2811
% Current number of ordered equations: 1
% Current number of rules: 97
% New rule produced :
% [151]
% multiply(c3,inverse(multiply(inverse(A),multiply(c3,multiply(c3,inverse(
% inverse(
% multiply(
% inverse(B),B))))))))
% <->
% multiply(C,inverse(multiply(inverse(A),multiply(c3,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% Current number of equations to process: 2811
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [152]
% multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% <->
% multiply(V_3,inverse(multiply(inverse(B),multiply(c3,multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% Rule
% [151]
% multiply(c3,inverse(multiply(inverse(A),multiply(c3,multiply(c3,inverse(
% inverse(
% multiply(
% inverse(B),B))))))))
% <->
% multiply(C,inverse(multiply(inverse(A),multiply(c3,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% collapsed.
% Current number of equations to process: 2810
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [153]
% multiply(V_3,inverse(multiply(inverse(B),multiply(c3,multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% Rule
% [67]
% multiply(c3,inverse(multiply(inverse(B),multiply(c3,multiply(c3,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% collapsed.
% Rule
% [150]
% multiply(C,inverse(multiply(inverse(A),multiply(c3,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(c3,inverse(multiply(inverse(A),multiply(c3,multiply(c3,inverse(
% inverse(
% multiply(
% inverse(B),B))))))))
% collapsed.
% Current number of equations to process: 2810
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [154]
% multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(C),C))))) <->
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))))
% Rule
% [90]
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% collapsed.
% Current number of equations to process: 2851
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [155]
% multiply(c3,multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))
% -> B
% Current number of equations to process: 3014
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [156]
% multiply(c3,multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% -> B
% Current number of equations to process: 3015
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [157]
% multiply(c3,multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))))
% -> B
% Current number of equations to process: 3053
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [158]
% multiply(c3,multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),
% inverse(multiply(inverse(B),multiply(c3,inverse(inverse(multiply(
% inverse(A),A))))))))
% -> B
% Current number of equations to process: 3052
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [159]
% multiply(c3,multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))))
% -> B
% Current number of equations to process: 3051
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [160]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(multiply(c3,
% multiply(C,V_3))),
% multiply(c3,multiply(C,B))))))
% -> multiply(inverse(B),multiply(inverse(B),V_3))
% Rule
% [92]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(multiply(c3,
% multiply(c3,C))),
% multiply(c3,multiply(c3,B))))))
% -> multiply(inverse(B),multiply(inverse(B),C)) collapsed.
% Current number of equations to process: 3051
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [161]
% multiply(c3,multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))))))
% -> B
% Current number of equations to process: 3050
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [162]
% multiply(inverse(multiply(A,multiply(A,inverse(inverse(multiply(inverse(B),B)))))),
% multiply(A,multiply(A,inverse(multiply(inverse(C),C))))) ->
% inverse(multiply(inverse(B),B))
% Rule
% [96]
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(multiply(inverse(A),A)))))),
% multiply(c3,multiply(c3,inverse(multiply(inverse(B),B))))) ->
% inverse(multiply(inverse(A),A)) collapsed.
% Current number of equations to process: 3091
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [163]
% multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))
% -> C
% Rule
% [32]
% multiply(A,inverse(multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% -> B collapsed.
% Rule
% [97]
% multiply(inverse(A),inverse(multiply(inverse(multiply(B,C)),multiply(B,
% multiply(
% inverse(A),
% inverse(inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))
% -> C collapsed.
% Current number of equations to process: 3153
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [164]
% multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,multiply(A,
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% -> C
% Rule
% [29]
% multiply(A,inverse(multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B collapsed.
% Rule
% [98]
% multiply(inverse(A),inverse(multiply(inverse(multiply(B,C)),multiply(B,
% multiply(
% inverse(A),
% inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))))
% -> C collapsed.
% Current number of equations to process: 3211
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [165]
% multiply(inverse(multiply(c3,multiply(A,multiply(A,inverse(multiply(inverse(C),C)))))),
% multiply(c3,B)) ->
% multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),B))
% Current number of equations to process: 3369
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [166]
% multiply(inverse(multiply(C,multiply(A,multiply(A,inverse(inverse(multiply(
% inverse(V_3),V_3))))))),
% multiply(C,B)) ->
% multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),B))
% Current number of equations to process: 3368
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [167]
% multiply(A,multiply(B,multiply(B,inverse(inverse(multiply(inverse(V_3),V_3))))))
% <->
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(multiply(inverse(C),C)))))))
% Rule
% [100]
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(multiply(inverse(V_3),V_3))))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(multiply(
% inverse(C),C)))))))
% collapsed.
% Current number of equations to process: 3431
% Current number of ordered equations: 1
% Current number of rules: 103
% New rule produced :
% [168]
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(multiply(inverse(C),C)))))))
% <->
% multiply(A,multiply(B,multiply(B,inverse(inverse(multiply(inverse(V_3),V_3))))))
% Rule
% [101]
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(multiply(
% inverse(C),C)))))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(multiply(inverse(V_3),V_3))))))
% collapsed.
% Current number of equations to process: 3431
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [169]
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),inverse(multiply(
% inverse(
% multiply(B,C)),
% multiply(B,
% inverse(
% inverse(
% multiply(
% inverse(A),A)))))))
% -> C
% Rule
% [53]
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),inverse(multiply(
% inverse(
% multiply(c3,B)),
% multiply(c3,
% inverse(
% inverse(
% multiply(
% inverse(A),A)))))))
% -> B collapsed.
% Current number of equations to process: 3438
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [170]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% multiply(
% inverse(C),C))))))
% Current number of equations to process: 3437
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [171]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% multiply(
% inverse(C),C))))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))
% Current number of equations to process: 3437
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [172]
% inverse(multiply(inverse(A),multiply(c3,multiply(c3,inverse(inverse(inverse(
% multiply(
% inverse(C),C))))))))
% <->
% inverse(multiply(inverse(A),multiply(c3,multiply(c3,inverse(inverse(inverse(
% multiply(
% inverse(B),B))))))))
% Current number of equations to process: 3578
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [173]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% multiply(
% inverse(C),C))))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% Current number of equations to process: 3612
% Current number of ordered equations: 1
% Current number of rules: 107
% New rule produced :
% [174]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% multiply(
% inverse(C),C))))))
% Current number of equations to process: 3612
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [175]
% multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(C),C)))))) <->
% multiply(A,multiply(A,inverse(inverse(inverse(inverse(inverse(multiply(
% inverse(B),B))))))))
% Current number of equations to process: 3744
% Current number of ordered equations: 1
% Current number of rules: 109
% New rule produced :
% [176]
% multiply(A,multiply(A,inverse(inverse(inverse(inverse(inverse(multiply(
% inverse(B),B))))))))
% <-> multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(C),C))))))
% Current number of equations to process: 3744
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [177]
% multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(B),B)))))) <->
% multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(C),C))))))
% Rule
% [172]
% inverse(multiply(inverse(A),multiply(c3,multiply(c3,inverse(inverse(inverse(
% multiply(
% inverse(C),C))))))))
% <->
% inverse(multiply(inverse(A),multiply(c3,multiply(c3,inverse(inverse(inverse(
% multiply(
% inverse(B),B))))))))
% collapsed.
% Current number of equations to process: 3748
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [178]
% multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(C),C)))))) <->
% multiply(A,multiply(A,inverse(inverse(inverse(inverse(multiply(inverse(B),B)))))))
% Current number of equations to process: 3748
% Current number of ordered equations: 1
% Current number of rules: 111
% New rule produced :
% [179]
% multiply(A,multiply(A,inverse(inverse(inverse(inverse(multiply(inverse(B),B)))))))
% <-> multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(C),C))))))
% Current number of equations to process: 3748
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [180]
% multiply(A,multiply(A,inverse(inverse(multiply(inverse(B),B))))) <->
% multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(C),C))))))
% Rule
% [167]
% multiply(A,multiply(B,multiply(B,inverse(inverse(multiply(inverse(V_3),V_3))))))
% <->
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(multiply(inverse(C),C)))))))
% collapsed.
% Current number of equations to process: 3750
% Current number of ordered equations: 1
% Current number of rules: 112
% Rule [108]
% multiply(A,multiply(A,inverse(multiply(inverse(C),C)))) <->
% multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(B),B)))))) is composed into 
% [108]
% multiply(A,multiply(A,inverse(multiply(inverse(C),C)))) <->
% multiply(A,multiply(A,inverse(inverse(multiply(inverse(B),B)))))
% New rule produced :
% [181]
% multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(C),C)))))) <->
% multiply(A,multiply(A,inverse(inverse(multiply(inverse(B),B)))))
% Rule
% [168]
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(multiply(inverse(C),C)))))))
% <->
% multiply(A,multiply(B,multiply(B,inverse(inverse(multiply(inverse(V_3),V_3))))))
% collapsed.
% Rule
% [177]
% multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(B),B)))))) <->
% multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(C),C))))))
% collapsed.
% Current number of equations to process: 3750
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [182]
% multiply(A,multiply(A,inverse(inverse(multiply(inverse(B),B))))) <->
% multiply(A,multiply(A,inverse(inverse(multiply(inverse(C),C)))))
% Current number of equations to process: 3751
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [183]
% multiply(A,inverse(multiply(inverse(C),C))) <->
% multiply(A,inverse(inverse(multiply(inverse(B),B))))
% Rule
% [108]
% multiply(A,multiply(A,inverse(multiply(inverse(C),C)))) <->
% multiply(A,multiply(A,inverse(inverse(multiply(inverse(B),B))))) collapsed.
% Rule
% [115]
% multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(C),C))))) <->
% multiply(A,multiply(B,multiply(B,inverse(inverse(multiply(inverse(V_3),V_3))))))
% collapsed.
% Rule
% [143]
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% <->
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(inverse(multiply(
% inverse(C),C)))))))
% collapsed.
% Rule
% [174]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% multiply(
% inverse(C),C))))))
% collapsed.
% Current number of equations to process: 3756
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [184]
% multiply(A,multiply(A,inverse(inverse(multiply(inverse(C),C))))) <->
% multiply(A,multiply(A,inverse(inverse(inverse(inverse(inverse(inverse(
% multiply(
% inverse(B),B)))))))))
% Rule
% [147]
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(multiply(inverse(V_3),V_3))))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% collapsed.
% Current number of equations to process: 3755
% Current number of ordered equations: 1
% Current number of rules: 109
% New rule produced :
% [185]
% multiply(A,multiply(A,inverse(inverse(inverse(inverse(inverse(inverse(
% multiply(
% inverse(B),B)))))))))
% <-> multiply(A,multiply(A,inverse(inverse(multiply(inverse(C),C)))))
% Rule
% [24]
% multiply(A,inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))))
% -> B collapsed.
% Rule
% [50]
% multiply(A,multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))))
% -> B collapsed.
% Rule
% [91]
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% collapsed.
% Rule
% [148]
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(multiply(inverse(V_3),V_3))))))
% collapsed.
% Current number of equations to process: 3755
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [186]
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(multiply(
% inverse(C),C)))))))
% Current number of equations to process: 3754
% Current number of ordered equations: 1
% Current number of rules: 107
% New rule produced :
% [187]
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(multiply(
% inverse(C),C)))))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% Current number of equations to process: 3754
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [188]
% multiply(inverse(multiply(c3,multiply(A,inverse(multiply(inverse(V_3),V_3))))),
% multiply(c3,C)) <->
% multiply(inverse(multiply(A,multiply(A,inverse(inverse(multiply(inverse(B),B)))))),
% multiply(A,C))
% Current number of equations to process: 3753
% Current number of ordered equations: 1
% Current number of rules: 109
% New rule produced :
% [189]
% multiply(inverse(multiply(A,multiply(A,inverse(inverse(multiply(inverse(B),B)))))),
% multiply(A,C)) <->
% multiply(inverse(multiply(c3,multiply(A,inverse(multiply(inverse(V_3),V_3))))),
% multiply(c3,C))
% Current number of equations to process: 3753
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [190]
% multiply(A,multiply(A,inverse(multiply(inverse(C),C)))) <->
% multiply(A,multiply(A,inverse(multiply(inverse(B),B))))
% Rule
% [78]
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(C),C)))))
% collapsed.
% Rule
% [82]
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(C),C)))))
% collapsed.
% Rule
% [86]
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(C),C)))))
% collapsed.
% Rule
% [112]
% multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3))))) <->
% multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(C),C)))))
% collapsed.
% Current number of equations to process: 3760
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [191]
% multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))))
% -> C
% Rule
% [33]
% multiply(A,inverse(multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% -> B collapsed.
% Rule
% [119]
% multiply(inverse(A),inverse(multiply(inverse(multiply(B,C)),multiply(B,
% multiply(
% inverse(A),
% inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))))
% -> C collapsed.
% Current number of equations to process: 3930
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [192]
% multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3))))) <->
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(multiply(inverse(C),C)))))))
% Rule
% [186]
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(multiply(
% inverse(C),C)))))))
% collapsed.
% Current number of equations to process: 4008
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced :
% [193]
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(multiply(inverse(C),C)))))))
% <-> multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% Rule
% [187]
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(multiply(
% inverse(C),C)))))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% collapsed.
% Current number of equations to process: 4008
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [194]
% multiply(inverse(multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(C),C)))))),
% multiply(A,V_3)) ->
% multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),V_3))
% Rule
% [165]
% multiply(inverse(multiply(c3,multiply(A,multiply(A,inverse(multiply(inverse(C),C)))))),
% multiply(c3,B)) ->
% multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),B)) collapsed.
% Current number of equations to process: 4072
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [195]
% multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))))
% -> C
% Rule
% [36]
% multiply(A,inverse(multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))
% -> B collapsed.
% Rule
% [146]
% multiply(inverse(A),inverse(multiply(inverse(multiply(B,C)),multiply(B,
% multiply(
% inverse(A),
% inverse(inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))))
% -> C collapsed.
% Current number of equations to process: 4071
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [196]
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% <->
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% Current number of equations to process: 4070
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced :
% [197]
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% <->
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% Current number of equations to process: 4070
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [198]
% multiply(C,inverse(multiply(inverse(B),multiply(C,multiply(C,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% Rule
% [89]
% multiply(c3,inverse(multiply(inverse(B),multiply(c3,multiply(c3,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,inverse(
% multiply(
% inverse(C),C)))))))
% collapsed.
% Current number of equations to process: 4069
% Current number of ordered equations: 1
% Current number of rules: 107
% New rule produced :
% [199]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(C,inverse(multiply(inverse(B),multiply(C,multiply(C,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% Current number of equations to process: 4069
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [200]
% multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,inverse(
% multiply(
% inverse(C),C)))))))
% <->
% multiply(V_3,inverse(multiply(inverse(B),multiply(c3,multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% Current number of equations to process: 4068
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [201]
% inverse(multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(C,inverse(
% multiply(
% inverse(V_5),V_5))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% Rule
% [21]
% inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(A,inverse(
% multiply(
% inverse(V_3),V_3))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,inverse(
% multiply(
% inverse(C),C)))))))
% collapsed.
% Rule
% [43]
% inverse(multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(
% multiply(
% inverse(C),C))))))
% <->
% multiply(B,inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% collapsed.
% Current number of equations to process: 4067
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced :
% [202]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% inverse(multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(C,inverse(
% multiply(
% inverse(V_5),V_5))))))
% Rule
% [44]
% multiply(B,inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% inverse(multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(
% multiply(
% inverse(C),C))))))
% collapsed.
% Current number of equations to process: 4067
% Current number of ordered equations: 0
% Current number of rules: 108
% Rule [138]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))) is composed into 
% [138]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(multiply(
% inverse(C),C)))))
% New rule produced :
% [203]
% multiply(inverse(A),multiply(c3,multiply(B,inverse(inverse(inverse(multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(inverse(A),multiply(c3,multiply(B,inverse(multiply(inverse(C),C)))))
% Rule
% [81]
% inverse(multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B collapsed.
% Rule
% [117]
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(inverse(inverse(
% multiply(
% inverse(C),C))))))))
% <->
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% collapsed.
% Rule
% [139]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% collapsed.
% Rule
% [156]
% multiply(c3,multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% -> B collapsed.
% Current number of equations to process: 4069
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [204]
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(multiply(inverse(C),C))))))
% <->
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% Current number of equations to process: 4068
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [205]
% inverse(multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(B),B))))))))
% <-> multiply(A,inverse(inverse(multiply(inverse(C),C))))
% Current number of equations to process: 4069
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [206]
% multiply(A,inverse(inverse(multiply(inverse(C),C)))) <->
% multiply(A,inverse(inverse(multiply(inverse(c3),c3))))
% Current number of equations to process: 4068
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced :
% [207]
% multiply(A,inverse(inverse(multiply(inverse(c3),c3)))) <->
% multiply(A,inverse(inverse(multiply(inverse(C),C))))
% Current number of equations to process: 4068
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [208]
% multiply(c3,multiply(A,multiply(c3,inverse(multiply(inverse(B),multiply(A,
% multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3)))))))))
% -> multiply(c3,B)
% Current number of equations to process: 4103
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [209]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% <->
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(V_3),V_3)))))))
% Current number of equations to process: 4124
% Current number of ordered equations: 1
% Current number of rules: 111
% New rule produced :
% [210]
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% Current number of equations to process: 4124
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [211]
% multiply(A,multiply(A,inverse(multiply(inverse(B),B)))) <->
% multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(C),C))))))
% Rule
% [192]
% multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3))))) <->
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(multiply(inverse(C),C)))))))
% collapsed.
% Current number of equations to process: 4357
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [212]
% multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(C),C)))))) <->
% multiply(A,multiply(A,inverse(multiply(inverse(B),B))))
% Rule
% [193]
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(multiply(inverse(C),C)))))))
% <-> multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% collapsed.
% Current number of equations to process: 4357
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [213]
% multiply(A,multiply(A,inverse(multiply(inverse(C),C)))) <->
% multiply(A,multiply(A,inverse(inverse(inverse(inverse(multiply(inverse(B),B)))))))
% Rule
% [125]
% multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(C),C))))) <->
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(inverse(multiply(
% inverse(V_3),V_3))))))))
% collapsed.
% Current number of equations to process: 4454
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [214]
% multiply(inverse(A),multiply(c3,multiply(B,inverse(multiply(inverse(C),C)))))
% <->
% multiply(inverse(A),multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% Rule
% [126]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% collapsed.
% Rule
% [204]
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(multiply(inverse(C),C))))))
% <->
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% collapsed.
% Current number of equations to process: 4455
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [215]
% multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))))))
% -> C
% Rule
% [49]
% multiply(A,inverse(multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))))
% -> B collapsed.
% Current number of equations to process: 4454
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [216]
% multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3))))) <->
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))
% Current number of equations to process: 4453
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [217]
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))
% <-> multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% Current number of equations to process: 4453
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [218]
% multiply(inverse(multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(
% multiply(
% inverse(C),C)))))))),
% multiply(A,V_3)) ->
% multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),V_3))
% Current number of equations to process: 4459
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [219]
% multiply(A,multiply(c3,inverse(multiply(inverse(B),multiply(A,multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3))))))))
% -> B
% Rule
% [208]
% multiply(c3,multiply(A,multiply(c3,inverse(multiply(inverse(B),multiply(A,
% multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3)))))))))
% -> multiply(c3,B) collapsed.
% Current number of equations to process: 4615
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [220]
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(inverse(
% multiply(
% inverse(A),A))),
% inverse(multiply(inverse(B),B))))
% -> inverse(multiply(inverse(A),A))
% Current number of equations to process: 4628
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [221]
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% <->
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% Current number of equations to process: 4627
% Current number of ordered equations: 1
% Current number of rules: 116
% New rule produced :
% [222]
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% <->
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% Current number of equations to process: 4627
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [223]
% multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))))))
% -> C
% Rule
% [63]
% multiply(A,inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))))
% -> B collapsed.
% Rule
% [68]
% multiply(A,inverse(multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))))
% -> B collapsed.
% Current number of equations to process: 4626
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [224]
% multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3))))) <->
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))))
% Current number of equations to process: 4623
% Current number of ordered equations: 1
% Current number of rules: 117
% New rule produced :
% [225]
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))))
% <-> multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% Current number of equations to process: 4623
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [226]
% multiply(C,multiply(inverse(multiply(inverse(multiply(V_3,A)),multiply(V_3,C))),B))
% <->
% multiply(c3,multiply(inverse(multiply(inverse(multiply(c3,A)),multiply(c3,c3))),B))
% Current number of equations to process: 4646
% Current number of ordered equations: 1
% Current number of rules: 119
% New rule produced :
% [227]
% multiply(c3,multiply(inverse(multiply(inverse(multiply(c3,A)),multiply(c3,c3))),B))
% <->
% multiply(C,multiply(inverse(multiply(inverse(multiply(V_3,A)),multiply(V_3,C))),B))
% Current number of equations to process: 4646
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [228]
% multiply(C,multiply(inverse(multiply(V_3,multiply(A,C))),multiply(V_3,B)))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,B)))
% Current number of equations to process: 4675
% Current number of ordered equations: 1
% Current number of rules: 121
% New rule produced :
% [229]
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,B)))
% <->
% multiply(C,multiply(inverse(multiply(V_3,multiply(A,C))),multiply(V_3,B)))
% Current number of equations to process: 4675
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [230]
% multiply(c3,multiply(inverse(multiply(A,multiply(B,c3))),multiply(A,C))) <->
% multiply(V_3,multiply(inverse(multiply(c3,multiply(B,V_3))),multiply(c3,C)))
% Current number of equations to process: 4675
% Current number of ordered equations: 1
% Current number of rules: 123
% New rule produced :
% [231]
% multiply(V_3,multiply(inverse(multiply(c3,multiply(B,V_3))),multiply(c3,C)))
% <-> multiply(c3,multiply(inverse(multiply(A,multiply(B,c3))),multiply(A,C)))
% Current number of equations to process: 4675
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [232]
% multiply(c3,multiply(inverse(multiply(A,multiply(inverse(multiply(B,multiply(C,A))),c3))),V_3))
% <->
% multiply(V_4,multiply(inverse(multiply(c3,multiply(inverse(multiply(B,
% multiply(C,c3))),V_4))),V_3))
% Current number of equations to process: 4732
% Current number of ordered equations: 1
% Current number of rules: 125
% New rule produced :
% [233]
% multiply(V_4,multiply(inverse(multiply(c3,multiply(inverse(multiply(B,
% multiply(C,c3))),V_4))),V_3))
% <->
% multiply(c3,multiply(inverse(multiply(A,multiply(inverse(multiply(B,multiply(C,A))),c3))),V_3))
% Current number of equations to process: 4732
% Current number of ordered equations: 0
% Current number of rules: 126
% Rule [226]
% multiply(C,multiply(inverse(multiply(inverse(multiply(V_3,A)),multiply(V_3,C))),B))
% <->
% multiply(c3,multiply(inverse(multiply(inverse(multiply(c3,A)),multiply(c3,c3))),B)) is composed into 
% [226]
% multiply(C,multiply(inverse(multiply(inverse(multiply(V_3,A)),multiply(V_3,C))),B))
% ->
% multiply(inverse(multiply(c3,multiply(inverse(A),multiply(inverse(A),A)))),
% multiply(c3,B))
% New rule produced :
% [234]
% multiply(c3,multiply(inverse(multiply(inverse(multiply(C,A)),multiply(C,c3))),B))
% ->
% multiply(inverse(multiply(c3,multiply(inverse(A),multiply(inverse(A),A)))),
% multiply(c3,B))
% Rule
% [227]
% multiply(c3,multiply(inverse(multiply(inverse(multiply(c3,A)),multiply(c3,c3))),B))
% <->
% multiply(C,multiply(inverse(multiply(inverse(multiply(V_3,A)),multiply(V_3,C))),B))
% collapsed.
% Current number of equations to process: 4753
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [235]
% multiply(inverse(multiply(A,B)),multiply(c3,multiply(inverse(multiply(C,
% multiply(V_3,c3))),V_4)))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(multiply(C,
% multiply(V_3,A))),V_4)))
% Current number of equations to process: 4783
% Current number of ordered equations: 3
% Current number of rules: 127
% New rule produced :
% [236]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(multiply(C,
% multiply(V_3,A))),V_4)))
% <->
% multiply(inverse(multiply(A,B)),multiply(c3,multiply(inverse(multiply(C,
% multiply(V_3,c3))),V_4)))
% Current number of equations to process: 4783
% Current number of ordered equations: 2
% Current number of rules: 128
% New rule produced :
% [237]
% multiply(inverse(multiply(c3,multiply(inverse(multiply(A,multiply(B,c3))),C))),
% multiply(V_3,V_4)) <->
% multiply(inverse(multiply(c3,multiply(inverse(multiply(A,multiply(B,V_3))),C))),
% multiply(c3,V_4))
% Current number of equations to process: 4783
% Current number of ordered equations: 1
% Current number of rules: 129
% New rule produced :
% [238]
% multiply(inverse(multiply(c3,multiply(inverse(multiply(A,multiply(B,V_3))),C))),
% multiply(c3,V_4)) <->
% multiply(inverse(multiply(c3,multiply(inverse(multiply(A,multiply(B,c3))),C))),
% multiply(V_3,V_4))
% Current number of equations to process: 4783
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [239]
% multiply(A,multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,
% multiply(c3,B))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(C,c3))),multiply(c3,
% multiply(C,B))))
% Current number of equations to process: 4792
% Current number of ordered equations: 1
% Current number of rules: 131
% New rule produced :
% [240]
% multiply(c3,multiply(inverse(multiply(c3,multiply(C,c3))),multiply(c3,
% multiply(C,B))))
% <->
% multiply(A,multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,
% multiply(c3,B))))
% Current number of equations to process: 4792
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [241]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(c3,multiply(B,C))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,C))))
% Current number of equations to process: 4791
% Current number of ordered equations: 1
% Current number of rules: 133
% New rule produced :
% [242]
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,C))))
% <->
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(c3,multiply(B,C))))
% Current number of equations to process: 4791
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [243]
% multiply(inverse(multiply(c3,multiply(c3,multiply(A,inverse(inverse(multiply(
% inverse(B),B))))))),
% multiply(c3,C)) ->
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),C))
% Current number of equations to process: 4803
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [244]
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),multiply(c3,
% multiply(B,
% inverse(multiply(
% inverse(A),A))))))
% -> inverse(multiply(inverse(A),A))
% Current number of equations to process: 4805
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [245]
% multiply(A,multiply(inverse(multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),A))),V_4))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(inverse(multiply(C,
% multiply(V_3,c3))),c3))),V_4))
% Current number of equations to process: 4849
% Current number of ordered equations: 2
% Current number of rules: 137
% New rule produced :
% [246]
% multiply(c3,multiply(inverse(multiply(c3,multiply(inverse(multiply(C,
% multiply(V_3,c3))),c3))),V_4))
% <->
% multiply(A,multiply(inverse(multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),A))),V_4))
% Current number of equations to process: 4849
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [247]
% multiply(c3,multiply(inverse(multiply(B,multiply(inverse(inverse(multiply(
% inverse(A),A))),c3))),C))
% ->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(B,
% inverse(multiply(
% inverse(A),A)))),C))
% Current number of equations to process: 4852
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [248]
% multiply(multiply(A,B),multiply(inverse(multiply(C,multiply(inverse(multiply(c3,V_3)),
% multiply(c3,B)))),V_4))
% <->
% multiply(c3,multiply(inverse(multiply(C,multiply(inverse(multiply(A,V_3)),c3))),V_4))
% Current number of equations to process: 4851
% Current number of ordered equations: 1
% Current number of rules: 140
% New rule produced :
% [249]
% multiply(c3,multiply(inverse(multiply(C,multiply(inverse(multiply(A,V_3)),c3))),V_4))
% <->
% multiply(multiply(A,B),multiply(inverse(multiply(C,multiply(inverse(multiply(c3,V_3)),
% multiply(c3,B)))),V_4))
% Current number of equations to process: 4851
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [250]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% multiply(
% inverse(C),C))))))
% Current number of equations to process: 3515
% Current number of ordered equations: 1
% Current number of rules: 142
% New rule produced :
% [251]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% multiply(
% inverse(C),C))))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))
% Current number of equations to process: 3515
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [252]
% multiply(A,inverse(multiply(inverse(C),C))) <->
% multiply(A,inverse(inverse(inverse(inverse(inverse(multiply(inverse(B),B)))))))
% Rule
% [141]
% multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(C),C))))) <->
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(inverse(inverse(
% multiply(
% inverse(V_3),V_3)))))))))
% collapsed.
% Rule
% [221]
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% <->
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% collapsed.
% Current number of equations to process: 3753
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [253]
% multiply(inverse(multiply(c3,multiply(c3,multiply(A,inverse(multiply(
% inverse(B),B)))))),
% multiply(c3,C)) ->
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),C))
% Current number of equations to process: 3765
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [254]
% multiply(inverse(multiply(C,multiply(c3,multiply(A,inverse(inverse(multiply(
% inverse(V_3),V_3))))))),
% multiply(C,B)) ->
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),B))
% Rule
% [243]
% multiply(inverse(multiply(c3,multiply(c3,multiply(A,inverse(inverse(multiply(
% inverse(B),B))))))),
% multiply(c3,C)) ->
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),C)) collapsed.
% Current number of equations to process: 3793
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [255]
% multiply(c3,multiply(inverse(inverse(multiply(inverse(A),A))),inverse(
% multiply(
% inverse(B),
% multiply(c3,
% inverse(
% multiply(
% inverse(A),A)))))))
% -> B
% Current number of equations to process: 3908
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [256]
% multiply(inverse(multiply(inverse(multiply(c3,A)),multiply(c3,B))),multiply(
% inverse(
% multiply(C,A)),
% multiply(C,V_3)))
% ->
% multiply(inverse(multiply(c3,multiply(c3,B))),multiply(c3,multiply(c3,V_3)))
% Current number of equations to process: 3918
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [257]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(inverse(
% multiply(
% inverse(C),C))))))))
% <->
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% Rule
% [118]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(inverse(
% multiply(
% inverse(C),C))))))))
% <->
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(V_3),V_3)))))))
% collapsed.
% Rule
% [152]
% multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% <->
% multiply(V_3,inverse(multiply(inverse(B),multiply(c3,multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% collapsed.
% Current number of equations to process: 4011
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [258]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(multiply(
% inverse(C),C)))))))
% <->
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% Rule
% [144]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(multiply(
% inverse(C),C)))))))
% <->
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(V_3),V_3)))))))
% collapsed.
% Rule
% [200]
% multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,inverse(
% multiply(
% inverse(C),C)))))))
% <->
% multiply(V_3,inverse(multiply(inverse(B),multiply(c3,multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% collapsed.
% Current number of equations to process: 4013
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [259]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(B,inverse(
% multiply(
% inverse(C),C))))))
% <->
% multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(B,multiply(B,
% inverse(multiply(
% inverse(V_4),V_4))))))
% Current number of equations to process: 4010
% Current number of ordered equations: 1
% Current number of rules: 144
% New rule produced :
% [260]
% multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(B,multiply(B,
% inverse(multiply(
% inverse(V_4),V_4))))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(B,inverse(
% multiply(
% inverse(C),C))))))
% Current number of equations to process: 4010
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [261]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(c3,inverse(
% multiply(
% inverse(V_3),V_3))))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(c3,inverse(
% multiply(
% inverse(C),C))))))
% Current number of equations to process: 4009
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [262]
% multiply(A,inverse(multiply(inverse(C),C))) <->
% multiply(A,inverse(inverse(inverse(inverse(inverse(inverse(multiply(inverse(B),B))))))))
% Rule
% [154]
% multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(C),C))))) <->
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))))
% collapsed.
% Current number of equations to process: 4073
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [263]
% multiply(c3,multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),
% inverse(multiply(inverse(B),multiply(c3,inverse(inverse(multiply(
% inverse(c3),c3))))))))
% -> B
% Current number of equations to process: 4218
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [264]
% multiply(c3,multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),
% inverse(multiply(inverse(B),multiply(c3,inverse(inverse(multiply(
% inverse(c3),c3))))))))
% -> B
% Current number of equations to process: 4336
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [265]
% multiply(c3,multiply(inverse(multiply(c3,multiply(inverse(inverse(inverse(
% multiply(
% inverse(A),A)))),c3))),B))
% ->
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(multiply(inverse(A),A)))))),
% multiply(c3,B))
% Current number of equations to process: 4335
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [266]
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,inverse(
% multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(c3,multiply(c3,B))),multiply(c3,multiply(c3,
% inverse(multiply(
% inverse(V_3),V_3)))))
% Current number of equations to process: 4334
% Current number of ordered equations: 1
% Current number of rules: 150
% New rule produced :
% [267]
% multiply(inverse(multiply(c3,multiply(c3,B))),multiply(c3,multiply(c3,
% inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,inverse(
% multiply(
% inverse(C),C)))))
% Current number of equations to process: 4334
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [268]
% multiply(inverse(multiply(c3,A)),multiply(c3,inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(A),A))))))))
% -> multiply(inverse(A),multiply(inverse(A),A))
% Current number of equations to process: 4356
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [269]
% inverse(multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <-> multiply(A,inverse(inverse(multiply(inverse(B),B))))
% Current number of equations to process: 4550
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [270]
% inverse(multiply(inverse(multiply(c3,A)),multiply(c3,A))) ->
% inverse(multiply(inverse(c3),c3))
% Current number of equations to process: 4562
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [271]
% inverse(multiply(inverse(multiply(A,B)),multiply(A,B))) ->
% inverse(multiply(inverse(c3),c3))
% Rule
% [270]
% inverse(multiply(inverse(multiply(c3,A)),multiply(c3,A))) ->
% inverse(multiply(inverse(c3),c3)) collapsed.
% Current number of equations to process: 4571
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [272]
% multiply(inverse(multiply(c3,multiply(A,multiply(c3,inverse(multiply(
% inverse(C),C)))))),
% multiply(c3,B)) ->
% multiply(c3,multiply(inverse(multiply(A,multiply(c3,c3))),B))
% Current number of equations to process: 4573
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [273]
% multiply(inverse(multiply(A,multiply(A,inverse(multiply(inverse(B),B))))),
% multiply(A,multiply(A,inverse(multiply(inverse(C),C))))) ->
% inverse(inverse(multiply(inverse(B),B)))
% Current number of equations to process: 4577
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [274]
% inverse(multiply(inverse(A),A)) <->
% multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),multiply(B,multiply(B,
% inverse(
% multiply(
% inverse(C),C))))))
% Current number of equations to process: 4602
% Current number of ordered equations: 1
% Current number of rules: 157
% Rule [274]
% inverse(multiply(inverse(A),A)) <->
% multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),multiply(B,
% multiply(B,
% inverse(
% multiply(
% inverse(C),C)))))) is composed into 
% [274] inverse(multiply(inverse(A),A)) <-> inverse(multiply(inverse(c3),c3))
% New rule produced :
% [275]
% multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),multiply(B,multiply(B,
% inverse(
% multiply(
% inverse(C),C))))))
% <-> inverse(multiply(inverse(A),A))
% Current number of equations to process: 4602
% Current number of ordered equations: 0
% Current number of rules: 158
% Rule [34]
% multiply(inverse(multiply(C,inverse(multiply(inverse(A),A)))),multiply(C,B))
% ->
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(
% inverse(
% multiply(
% inverse(A),A))),B)) is composed into 
% [34]
% multiply(inverse(multiply(C,inverse(multiply(inverse(A),A)))),multiply(C,B))
% ->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),B))
% New rule produced :
% [276]
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(inverse(
% multiply(
% inverse(A),A))),B))
% ->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),B))
% Rule
% [35]
% multiply(inverse(inverse(multiply(inverse(B),B))),multiply(inverse(inverse(
% multiply(
% inverse(B),B))),
% inverse(inverse(multiply(
% inverse(B),B)))))
% -> inverse(multiply(inverse(B),B)) collapsed.
% Rule
% [47]
% multiply(inverse(inverse(multiply(inverse(B),B))),multiply(inverse(inverse(
% multiply(
% inverse(B),B))),
% inverse(multiply(inverse(C),
% inverse(multiply(
% inverse(B),B))))))
% -> C collapsed.
% Rule
% [220]
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(inverse(
% multiply(
% inverse(A),A))),
% inverse(multiply(inverse(B),B))))
% -> inverse(multiply(inverse(A),A)) collapsed.
% Current number of equations to process: 4876
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [277]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(multiply(inverse(B),B)))) ->
% inverse(multiply(inverse(A),A))
% Current number of equations to process: 4875
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [278]
% multiply(inverse(multiply(inverse(B),B)),multiply(inverse(inverse(multiply(
% inverse(B),B))),
% inverse(inverse(multiply(inverse(B),B)))))
% -> inverse(multiply(inverse(B),B))
% Current number of equations to process: 4874
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [279]
% multiply(inverse(multiply(inverse(B),B)),multiply(inverse(inverse(multiply(
% inverse(B),B))),
% inverse(multiply(inverse(C),
% inverse(multiply(inverse(B),B))))))
% -> C
% Current number of equations to process: 4873
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [280]
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),inverse(multiply(
% inverse(
% multiply(B,C)),
% multiply(B,
% inverse(
% inverse(
% multiply(
% inverse(c3),c3)))))))
% -> C
% Current number of equations to process: 1509
% Current number of ordered equations: 1
% Current number of rules: 160
% New rule produced :
% [281]
% multiply(inverse(inverse(inverse(multiply(inverse(c3),c3)))),inverse(
% multiply(
% inverse(
% multiply(A,B)),
% multiply(A,
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% -> B
% Current number of equations to process: 1509
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [282]
% multiply(A,inverse(inverse(inverse(multiply(inverse(B),B))))) <->
% multiply(A,inverse(inverse(inverse(multiply(inverse(C),C)))))
% Current number of equations to process: 1858
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [283]
% inverse(inverse(inverse(multiply(inverse(B),B)))) <->
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))))
% Rule
% [175]
% multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(C),C)))))) <->
% multiply(A,multiply(A,inverse(inverse(inverse(inverse(inverse(multiply(
% inverse(B),B))))))))
% collapsed.
% Current number of equations to process: 1860
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [284]
% multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(C),C)))))) <->
% multiply(A,multiply(A,inverse(inverse(inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(B),B))))))))))
% Current number of equations to process: 1869
% Current number of ordered equations: 1
% Current number of rules: 163
% Rule [216]
% multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% <->
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))) is composed into 
% [216]
% multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3))))) <->
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(multiply(inverse(C),C)))))))
% New rule produced :
% [285]
% multiply(A,multiply(A,inverse(inverse(inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(B),B))))))))))
% <-> multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(C),C))))))
% Rule
% [71]
% multiply(A,multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))))))
% -> B collapsed.
% Rule
% [217]
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))
% <-> multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% collapsed.
% Current number of equations to process: 1869
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [286]
% multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(C),C)))))) <->
% multiply(A,multiply(A,inverse(inverse(inverse(inverse(inverse(inverse(
% multiply(
% inverse(B),B)))))))))
% Current number of equations to process: 1873
% Current number of ordered equations: 1
% Current number of rules: 163
% New rule produced :
% [287]
% multiply(A,multiply(A,inverse(inverse(inverse(inverse(inverse(inverse(
% multiply(
% inverse(B),B)))))))))
% <-> multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(C),C))))))
% Current number of equations to process: 1873
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [288]
% inverse(inverse(inverse(multiply(inverse(B),B)))) <->
% inverse(inverse(inverse(inverse(multiply(inverse(A),A)))))
% Rule
% [178]
% multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(C),C)))))) <->
% multiply(A,multiply(A,inverse(inverse(inverse(inverse(multiply(inverse(B),B)))))))
% collapsed.
% Current number of equations to process: 1925
% Current number of ordered equations: 0
% Current number of rules: 164
% Rule [286]
% multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(C),C))))))
% <->
% multiply(A,multiply(A,inverse(inverse(inverse(inverse(inverse(inverse(
% multiply(
% inverse(B),B))))))))) is composed into 
% [286]
% multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(C),C)))))) <->
% multiply(A,multiply(A,inverse(inverse(multiply(inverse(B),B)))))
% Rule [284]
% multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(C),C))))))
% <->
% multiply(A,multiply(A,inverse(inverse(inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(B),B)))))))))) is composed into 
% [284]
% multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(C),C)))))) <->
% multiply(A,multiply(A,inverse(inverse(multiply(inverse(B),B)))))
% Rule [262]
% multiply(A,inverse(multiply(inverse(C),C))) <->
% multiply(A,inverse(inverse(inverse(inverse(inverse(inverse(multiply(
% inverse(B),B)))))))) is composed into 
% [262]
% multiply(A,inverse(multiply(inverse(C),C))) <->
% multiply(A,inverse(inverse(multiply(inverse(B),B))))
% Rule [252]
% multiply(A,inverse(multiply(inverse(C),C))) <->
% multiply(A,inverse(inverse(inverse(inverse(inverse(multiply(inverse(B),B))))))) is composed into 
% [252]
% multiply(A,inverse(multiply(inverse(C),C))) <->
% multiply(A,inverse(inverse(multiply(inverse(B),B))))
% Rule [213]
% multiply(A,multiply(A,inverse(multiply(inverse(C),C)))) <->
% multiply(A,multiply(A,inverse(inverse(inverse(inverse(multiply(inverse(B),B))))))) is composed into 
% [213]
% multiply(A,multiply(A,inverse(multiply(inverse(C),C)))) <->
% multiply(A,multiply(A,inverse(inverse(multiply(inverse(B),B)))))
% Rule [184]
% multiply(A,multiply(A,inverse(inverse(multiply(inverse(C),C))))) <->
% multiply(A,multiply(A,inverse(inverse(inverse(inverse(inverse(inverse(
% multiply(
% inverse(B),B))))))))) is composed into 
% [184]
% multiply(A,multiply(A,inverse(inverse(multiply(inverse(C),C))))) <->
% multiply(A,multiply(A,inverse(inverse(multiply(inverse(B),B)))))
% Rule [69]
% multiply(inverse(multiply(A,inverse(inverse(multiply(inverse(B),B))))),
% multiply(A,C)) ->
% multiply(inverse(inverse(inverse(multiply(inverse(B),B)))),multiply(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(B),B)))),C)) is composed into 
% [69]
% multiply(inverse(multiply(A,inverse(inverse(multiply(inverse(B),B))))),
% multiply(A,C)) ->
% multiply(inverse(inverse(multiply(inverse(B),B))),multiply(inverse(inverse(
% multiply(
% inverse(B),B))),C))
% New rule produced :
% [289]
% inverse(inverse(inverse(multiply(inverse(A),A)))) <->
% inverse(inverse(multiply(inverse(B),B)))
% Rule
% [176]
% multiply(A,multiply(A,inverse(inverse(inverse(inverse(inverse(multiply(
% inverse(B),B))))))))
% <-> multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(C),C))))))
% collapsed.
% Rule
% [179]
% multiply(A,multiply(A,inverse(inverse(inverse(inverse(multiply(inverse(B),B)))))))
% <-> multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(C),C))))))
% collapsed.
% Rule
% [181]
% multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(C),C)))))) <->
% multiply(A,multiply(A,inverse(inverse(multiply(inverse(B),B))))) collapsed.
% Rule
% [185]
% multiply(A,multiply(A,inverse(inverse(inverse(inverse(inverse(inverse(
% multiply(
% inverse(B),B)))))))))
% <-> multiply(A,multiply(A,inverse(inverse(multiply(inverse(C),C)))))
% collapsed.
% Rule
% [205]
% inverse(multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(B),B))))))))
% <-> multiply(A,inverse(inverse(multiply(inverse(C),C)))) collapsed.
% Rule
% [281]
% multiply(inverse(inverse(inverse(multiply(inverse(c3),c3)))),inverse(
% multiply(
% inverse(
% multiply(A,B)),
% multiply(A,
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% -> B collapsed.
% Rule
% [282]
% multiply(A,inverse(inverse(inverse(multiply(inverse(B),B))))) <->
% multiply(A,inverse(inverse(inverse(multiply(inverse(C),C))))) collapsed.
% Rule
% [283]
% inverse(inverse(inverse(multiply(inverse(B),B)))) <->
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))))
% collapsed.
% Rule
% [285]
% multiply(A,multiply(A,inverse(inverse(inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(B),B))))))))))
% <-> multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(C),C))))))
% collapsed.
% Rule
% [287]
% multiply(A,multiply(A,inverse(inverse(inverse(inverse(inverse(inverse(
% multiply(
% inverse(B),B)))))))))
% <-> multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(C),C))))))
% collapsed.
% Rule
% [288]
% inverse(inverse(inverse(multiply(inverse(B),B)))) <->
% inverse(inverse(inverse(inverse(multiply(inverse(A),A))))) collapsed.
% Current number of equations to process: 1992
% Current number of ordered equations: 1
% Current number of rules: 154
% New rule produced :
% [290]
% inverse(inverse(multiply(inverse(B),B))) <->
% inverse(inverse(inverse(multiply(inverse(A),A))))
% Rule
% [180]
% multiply(A,multiply(A,inverse(inverse(multiply(inverse(B),B))))) <->
% multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(C),C))))))
% collapsed.
% Current number of equations to process: 1992
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [291]
% inverse(inverse(multiply(inverse(B),B))) <->
% inverse(inverse(inverse(inverse(multiply(inverse(A),A)))))
% Current number of equations to process: 1991
% Current number of ordered equations: 1
% Current number of rules: 155
% New rule produced :
% [292]
% inverse(inverse(inverse(inverse(multiply(inverse(A),A))))) <->
% inverse(inverse(multiply(inverse(B),B)))
% Current number of equations to process: 1991
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [293]
% inverse(inverse(multiply(inverse(B),B))) <->
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))))
% Current number of equations to process: 1990
% Current number of ordered equations: 1
% Current number of rules: 157
% New rule produced :
% [294]
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(A),A)))))) <->
% inverse(inverse(multiply(inverse(B),B)))
% Current number of equations to process: 1990
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [295] inverse(multiply(inverse(B),B)) <-> inverse(multiply(inverse(A),A))
% Rule
% [182]
% multiply(A,multiply(A,inverse(inverse(multiply(inverse(B),B))))) <->
% multiply(A,multiply(A,inverse(inverse(multiply(inverse(C),C))))) collapsed.
% Rule
% [184]
% multiply(A,multiply(A,inverse(inverse(multiply(inverse(C),C))))) <->
% multiply(A,multiply(A,inverse(inverse(multiply(inverse(B),B))))) collapsed.
% Rule
% [190]
% multiply(A,multiply(A,inverse(multiply(inverse(C),C)))) <->
% multiply(A,multiply(A,inverse(multiply(inverse(B),B)))) collapsed.
% Rule
% [206]
% multiply(A,inverse(inverse(multiply(inverse(C),C)))) <->
% multiply(A,inverse(inverse(multiply(inverse(c3),c3)))) collapsed.
% Rule
% [207]
% multiply(A,inverse(inverse(multiply(inverse(c3),c3)))) <->
% multiply(A,inverse(inverse(multiply(inverse(C),C)))) collapsed.
% Rule
% [214]
% multiply(inverse(A),multiply(c3,multiply(B,inverse(multiply(inverse(C),C)))))
% <->
% multiply(inverse(A),multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% collapsed.
% Rule
% [261]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(c3,inverse(
% multiply(
% inverse(V_3),V_3))))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(c3,inverse(
% multiply(
% inverse(C),C))))))
% collapsed.
% Rule
% [271]
% inverse(multiply(inverse(multiply(A,B)),multiply(A,B))) ->
% inverse(multiply(inverse(c3),c3)) collapsed.
% Rule
% [274] inverse(multiply(inverse(A),A)) <-> inverse(multiply(inverse(c3),c3))
% collapsed.
% Current number of equations to process: 1993
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [296]
% inverse(multiply(inverse(B),B)) <-> inverse(inverse(multiply(inverse(A),A)))
% Rule
% [183]
% multiply(A,inverse(multiply(inverse(C),C))) <->
% multiply(A,inverse(inverse(multiply(inverse(B),B)))) collapsed.
% Rule
% [213]
% multiply(A,multiply(A,inverse(multiply(inverse(C),C)))) <->
% multiply(A,multiply(A,inverse(inverse(multiply(inverse(B),B))))) collapsed.
% Rule
% [252]
% multiply(A,inverse(multiply(inverse(C),C))) <->
% multiply(A,inverse(inverse(multiply(inverse(B),B)))) collapsed.
% Rule
% [262]
% multiply(A,inverse(multiply(inverse(C),C))) <->
% multiply(A,inverse(inverse(multiply(inverse(B),B)))) collapsed.
% Rule
% [290]
% inverse(inverse(multiply(inverse(B),B))) <->
% inverse(inverse(inverse(multiply(inverse(A),A)))) collapsed.
% Current number of equations to process: 1997
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [297]
% multiply(inverse(inverse(multiply(inverse(c3),c3))),inverse(multiply(
% inverse(multiply(A,B)),
% multiply(A,
% inverse(inverse(
% multiply(
% inverse(C),C)))))))
% -> B
% Current number of equations to process: 1996
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [298]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(
% multiply(B,C)),
% multiply(B,
% inverse(inverse(
% multiply(
% inverse(V_3),V_3)))))))
% -> C
% Rule
% [297]
% multiply(inverse(inverse(multiply(inverse(c3),c3))),inverse(multiply(
% inverse(multiply(A,B)),
% multiply(A,
% inverse(inverse(
% multiply(
% inverse(C),C)))))))
% -> B collapsed.
% Current number of equations to process: 2007
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [299]
% multiply(inverse(multiply(c3,multiply(A,inverse(inverse(multiply(inverse(B),B)))))),
% multiply(c3,C)) <->
% multiply(inverse(multiply(A,multiply(A,inverse(inverse(multiply(inverse(V_3),V_3)))))),
% multiply(A,C))
% Current number of equations to process: 2008
% Current number of ordered equations: 1
% Current number of rules: 148
% New rule produced :
% [300]
% multiply(inverse(multiply(A,multiply(A,inverse(inverse(multiply(inverse(V_3),V_3)))))),
% multiply(A,C)) <->
% multiply(inverse(multiply(c3,multiply(A,inverse(inverse(multiply(inverse(B),B)))))),
% multiply(c3,C))
% Current number of equations to process: 2008
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [301]
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),inverse(multiply(
% inverse(
% multiply(B,C)),
% multiply(B,
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))
% -> C
% Rule
% [169]
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),inverse(multiply(
% inverse(
% multiply(B,C)),
% multiply(B,
% inverse(
% inverse(
% multiply(
% inverse(A),A)))))))
% -> C collapsed.
% Rule
% [280]
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),inverse(multiply(
% inverse(
% multiply(B,C)),
% multiply(B,
% inverse(
% inverse(
% multiply(
% inverse(c3),c3)))))))
% -> C collapsed.
% Current number of equations to process: 2007
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [302]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(inverse(multiply(
% inverse(B),B))))
% -> inverse(inverse(multiply(inverse(B),B)))
% Rule
% [278]
% multiply(inverse(multiply(inverse(B),B)),multiply(inverse(inverse(multiply(
% inverse(B),B))),
% inverse(inverse(multiply(inverse(B),B)))))
% -> inverse(multiply(inverse(B),B)) collapsed.
% Current number of equations to process: 2018
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [303]
% multiply(inverse(multiply(inverse(B),B)),inverse(inverse(multiply(inverse(B),B))))
% -> inverse(multiply(inverse(B),B))
% Current number of equations to process: 2017
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [304]
% inverse(multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <-> multiply(A,inverse(inverse(multiply(inverse(B),B))))
% Current number of equations to process: 2016
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [305]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),B)),
% inverse(inverse(multiply(inverse(C),C)))) ->
% multiply(inverse(multiply(c3,B)),multiply(c3,inverse(inverse(multiply(
% inverse(C),C)))))
% Current number of equations to process: 2015
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [306]
% multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),inverse(
% inverse(
% multiply(
% inverse(B),B))))
% -> inverse(inverse(inverse(multiply(inverse(A),A))))
% Current number of equations to process: 2018
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [307]
% multiply(inverse(inverse(inverse(inverse(inverse(multiply(inverse(A),A)))))),
% inverse(inverse(multiply(inverse(B),B)))) ->
% inverse(inverse(inverse(inverse(multiply(inverse(A),A)))))
% Current number of equations to process: 2018
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [308]
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),inverse(inverse(
% multiply(
% inverse(B),B))))
% -> inverse(inverse(multiply(inverse(A),A)))
% Rule
% [10]
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),inverse(inverse(
% multiply(
% inverse(A),A))))
% -> inverse(inverse(multiply(inverse(A),A))) collapsed.
% Current number of equations to process: 2027
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [309]
% multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3))))) <->
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% Current number of equations to process: 2084
% Current number of ordered equations: 1
% Current number of rules: 154
% New rule produced :
% [310]
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% <-> multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% Current number of equations to process: 2084
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [311]
% multiply(c3,multiply(inverse(inverse(multiply(inverse(A),A))),inverse(
% multiply(
% inverse(B),
% multiply(c3,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% -> B
% Current number of equations to process: 2089
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [312]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),B))
% <->
% multiply(inverse(inverse(inverse(multiply(inverse(C),C)))),multiply(inverse(
% inverse(
% multiply(
% inverse(A),A))),B))
% Current number of equations to process: 2132
% Current number of ordered equations: 1
% Current number of rules: 157
% New rule produced :
% [313]
% multiply(inverse(inverse(inverse(multiply(inverse(C),C)))),multiply(inverse(
% inverse(
% multiply(
% inverse(A),A))),B))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),B))
% Current number of equations to process: 2132
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [314]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),B)),
% multiply(inverse(inverse(inverse(multiply(inverse(C),C)))),V_3)) <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,V_3))
% Current number of equations to process: 2131
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [315]
% inverse(inverse(multiply(inverse(C),C))) <->
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(B),B)))
% Current number of equations to process: 2150
% Current number of ordered equations: 1
% Current number of rules: 160
% Rule [315]
% inverse(inverse(multiply(inverse(C),C))) <->
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(
% inverse(B),B))) is composed into 
% [315]
% inverse(inverse(multiply(inverse(C),C))) <->
% inverse(inverse(multiply(inverse(c3),c3)))
% New rule produced :
% [316]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(B),B)))
% <-> inverse(inverse(multiply(inverse(C),C)))
% Rule
% [9]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(A),A)))
% -> inverse(multiply(inverse(A),A)) collapsed.
% Rule
% [277]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(multiply(inverse(B),B)))) ->
% inverse(multiply(inverse(A),A)) collapsed.
% Current number of equations to process: 2152
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [317]
% multiply(inverse(multiply(inverse(A),A)),inverse(inverse(multiply(inverse(c3),c3))))
% -> inverse(multiply(inverse(A),A))
% Current number of equations to process: 2150
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [318]
% inverse(multiply(inverse(A),A)) <->
% multiply(inverse(multiply(c3,multiply(B,inverse(multiply(inverse(C),C))))),
% multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% Current number of equations to process: 2409
% Current number of ordered equations: 1
% Current number of rules: 161
% Rule [318]
% inverse(multiply(inverse(A),A)) <->
% multiply(inverse(multiply(c3,multiply(B,inverse(multiply(inverse(C),C))))),
% multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))) is composed into 
% [318] inverse(multiply(inverse(A),A)) <-> inverse(multiply(inverse(c3),c3))
% New rule produced :
% [319]
% multiply(inverse(multiply(c3,multiply(B,inverse(multiply(inverse(C),C))))),
% multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))) <->
% inverse(multiply(inverse(A),A))
% Current number of equations to process: 2409
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [320]
% multiply(inverse(multiply(c3,multiply(A,multiply(B,inverse(inverse(multiply(
% inverse(c3),c3))))))),
% multiply(c3,C)) <->
% multiply(V_3,multiply(inverse(multiply(A,multiply(B,V_3))),C))
% Current number of equations to process: 2483
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [321]
% multiply(c3,multiply(inverse(inverse(multiply(inverse(c3),c3))),inverse(
% multiply(
% inverse(A),
% multiply(c3,
% inverse(
% inverse(
% multiply(
% inverse(c3),c3))))))))
% -> A
% Current number of equations to process: 2490
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [322]
% multiply(inverse(inverse(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))))),B)
% -> multiply(inverse(inverse(multiply(inverse(A),A))),B)
% Current number of equations to process: 2545
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [323]
% inverse(multiply(A,multiply(c3,multiply(B,inverse(multiply(inverse(C),C))))))
% <->
% inverse(multiply(A,multiply(c3,multiply(B,inverse(inverse(inverse(inverse(
% multiply(
% inverse(V_3),V_3)))))))))
% Rule
% [196]
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% <->
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% collapsed.
% Current number of equations to process: 2639
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [324]
% multiply(inverse(A),multiply(c3,multiply(B,inverse(inverse(inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))))
% <->
% multiply(inverse(A),multiply(c3,multiply(B,inverse(multiply(inverse(C),C)))))
% Rule
% [111]
% inverse(multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% -> B collapsed.
% Rule
% [155]
% multiply(c3,multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))
% -> B collapsed.
% Rule
% [197]
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% <->
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% collapsed.
% Current number of equations to process: 2656
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [325]
% multiply(A,inverse(multiply(B,multiply(A,multiply(A,inverse(multiply(
% inverse(C),C)))))))
% <->
% multiply(V_3,inverse(multiply(B,multiply(A,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% Rule
% [198]
% multiply(C,inverse(multiply(inverse(B),multiply(C,multiply(C,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% collapsed.
% Current number of equations to process: 2665
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [326]
% multiply(C,inverse(multiply(inverse(A),multiply(B,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(c3,inverse(multiply(inverse(A),multiply(B,multiply(c3,inverse(
% multiply(
% inverse(c3),c3)))))))
% Current number of equations to process: 2800
% Current number of ordered equations: 1
% Current number of rules: 164
% New rule produced :
% [327]
% multiply(c3,inverse(multiply(inverse(A),multiply(B,multiply(c3,inverse(
% multiply(
% inverse(c3),c3)))))))
% <->
% multiply(C,inverse(multiply(inverse(A),multiply(B,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% Current number of equations to process: 2800
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [328]
% multiply(A,multiply(B,inverse(multiply(inverse(C),multiply(A,multiply(B,
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% -> C
% Rule
% [22]
% multiply(A,multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B collapsed.
% Rule
% [145]
% multiply(c3,multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B collapsed.
% Rule
% [219]
% multiply(A,multiply(c3,inverse(multiply(inverse(B),multiply(A,multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3))))))))
% -> B collapsed.
% Current number of equations to process: 2803
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [329]
% inverse(multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,
% inverse(
% multiply(
% inverse(C),C))))))
% <-> multiply(A,inverse(inverse(multiply(inverse(B),B))))
% Current number of equations to process: 2957
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [330]
% inverse(multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,
% inverse(
% multiply(
% inverse(C),C))))))
% <-> multiply(A,inverse(inverse(multiply(inverse(B),B))))
% Current number of equations to process: 3032
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [331]
% multiply(A,multiply(c3,multiply(B,inverse(inverse(inverse(multiply(inverse(C),C)))))))
% <-> multiply(A,multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% Rule
% [203]
% multiply(inverse(A),multiply(c3,multiply(B,inverse(inverse(inverse(multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(inverse(A),multiply(c3,multiply(B,inverse(multiply(inverse(C),C)))))
% collapsed.
% Current number of equations to process: 3056
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [332]
% multiply(c3,inverse(multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,
% multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% -> multiply(c3,B)
% Current number of equations to process: 3077
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [333]
% multiply(inverse(multiply(c3,multiply(A,inverse(inverse(multiply(inverse(B),B)))))),
% multiply(c3,multiply(A,inverse(multiply(inverse(C),C))))) ->
% inverse(multiply(inverse(B),B))
% Rule
% [95]
% multiply(inverse(multiply(c3,multiply(A,inverse(inverse(multiply(inverse(B),B)))))),
% multiply(c3,multiply(A,inverse(multiply(inverse(B),B))))) ->
% inverse(multiply(inverse(B),B)) collapsed.
% Current number of equations to process: 3076
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [334]
% multiply(C,inverse(multiply(inverse(B),multiply(C,multiply(C,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% Current number of equations to process: 3075
% Current number of ordered equations: 1
% Current number of rules: 167
% New rule produced :
% [335]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% <->
% multiply(C,inverse(multiply(inverse(B),multiply(C,multiply(C,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% Current number of equations to process: 3075
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [336]
% inverse(multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(C,inverse(
% multiply(
% inverse(V_5),V_5))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% Current number of equations to process: 3073
% Current number of ordered equations: 3
% Current number of rules: 169
% New rule produced :
% [337]
% inverse(multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(C,inverse(
% inverse(
% multiply(
% inverse(V_5),V_5)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% Rule
% [74]
% inverse(multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <->
% multiply(B,inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% collapsed.
% Current number of equations to process: 3073
% Current number of ordered equations: 2
% Current number of rules: 169
% New rule produced :
% [338]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% inverse(multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(C,inverse(
% inverse(
% multiply(
% inverse(V_5),V_5)))))))
% Rule
% [75]
% multiply(B,inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% inverse(multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% collapsed.
% Current number of equations to process: 3073
% Current number of ordered equations: 1
% Current number of rules: 169
% New rule produced :
% [339]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% <->
% inverse(multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(C,inverse(
% multiply(
% inverse(V_5),V_5))))))
% Current number of equations to process: 3073
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [340]
% multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),inverse(
% multiply(
% inverse(
% multiply(B,C)),
% multiply(B,
% inverse(
% inverse(
% multiply(
% inverse(c3),c3)))))))
% -> C
% Current number of equations to process: 3071
% Current number of ordered equations: 1
% Current number of rules: 171
% New rule produced :
% [341]
% multiply(inverse(inverse(multiply(inverse(c3),c3))),inverse(multiply(
% inverse(multiply(A,B)),
% multiply(A,
% inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B
% Current number of equations to process: 3071
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [342]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% Current number of equations to process: 3066
% Current number of ordered equations: 1
% Current number of rules: 173
% New rule produced :
% [343]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))
% Current number of equations to process: 3066
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [344]
% multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),B)),
% inverse(inverse(multiply(inverse(C),C)))) ->
% multiply(inverse(multiply(c3,B)),multiply(c3,inverse(inverse(multiply(
% inverse(A),A)))))
% Rule
% [64]
% multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),B)),
% inverse(inverse(multiply(inverse(A),A)))) ->
% multiply(inverse(multiply(c3,B)),multiply(c3,inverse(inverse(multiply(
% inverse(A),A)))))
% collapsed.
% Current number of equations to process: 3063
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [345]
% multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))) <->
% multiply(A,inverse(multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),
% multiply(A,inverse(multiply(inverse(C),C)))))))
% Current number of equations to process: 3060
% Current number of ordered equations: 1
% Current number of rules: 175
% Rule [345]
% multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))) <->
% multiply(A,inverse(multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),
% multiply(A,inverse(multiply(inverse(C),C))))))) is composed into 
% [345]
% multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))) <->
% multiply(B,multiply(B,inverse(multiply(inverse(c3),c3))))
% New rule produced :
% [346]
% multiply(A,inverse(multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),
% multiply(A,inverse(multiply(inverse(C),C)))))))
% <-> multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3))))
% Current number of equations to process: 3060
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [347]
% inverse(multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <->
% inverse(multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(B,inverse(
% multiply(
% inverse(V_4),V_4))))))
% Current number of equations to process: 3039
% Current number of ordered equations: 1
% Current number of rules: 177
% New rule produced :
% [348]
% inverse(multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(B,inverse(
% multiply(
% inverse(V_4),V_4))))))
% <->
% inverse(multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% Current number of equations to process: 3039
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [349]
% inverse(multiply(inverse(B),B)) <->
% inverse(inverse(inverse(multiply(inverse(A),A))))
% Rule
% [211]
% multiply(A,multiply(A,inverse(multiply(inverse(B),B)))) <->
% multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(C),C))))))
% collapsed.
% Rule
% [216]
% multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3))))) <->
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(multiply(inverse(C),C)))))))
% collapsed.
% Rule
% [291]
% inverse(inverse(multiply(inverse(B),B))) <->
% inverse(inverse(inverse(inverse(multiply(inverse(A),A))))) collapsed.
% Rule
% [312]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),B))
% <->
% multiply(inverse(inverse(inverse(multiply(inverse(C),C)))),multiply(inverse(
% inverse(
% multiply(
% inverse(A),A))),B))
% collapsed.
% Current number of equations to process: 3151
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [350]
% multiply(A,multiply(c3,inverse(multiply(inverse(B),multiply(A,multiply(c3,
% inverse(
% inverse(
% multiply(
% inverse(c3),c3)))))))))
% -> B
% Current number of equations to process: 3196
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [351]
% multiply(inverse(inverse(inverse(inverse(inverse(inverse(inverse(multiply(
% inverse(A),A)))))))),B)
% -> multiply(inverse(inverse(multiply(inverse(A),A))),B)
% Current number of equations to process: 3237
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [352]
% multiply(inverse(multiply(c3,multiply(A,inverse(inverse(inverse(multiply(
% inverse(V_3),V_3))))))),
% multiply(c3,C)) <->
% multiply(inverse(multiply(A,multiply(A,inverse(multiply(inverse(B),B))))),
% multiply(A,C))
% Current number of equations to process: 3236
% Current number of ordered equations: 1
% Current number of rules: 178
% New rule produced :
% [353]
% multiply(inverse(multiply(A,multiply(A,inverse(multiply(inverse(B),B))))),
% multiply(A,C)) <->
% multiply(inverse(multiply(c3,multiply(A,inverse(inverse(inverse(multiply(
% inverse(V_3),V_3))))))),
% multiply(c3,C))
% Current number of equations to process: 3236
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [354]
% inverse(multiply(A,multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% <->
% inverse(multiply(A,multiply(c3,multiply(B,inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% Current number of equations to process: 3506
% Current number of ordered equations: 1
% Current number of rules: 180
% New rule produced :
% [355]
% inverse(multiply(A,multiply(c3,multiply(B,inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% <->
% inverse(multiply(A,multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% Rule
% [222]
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% <->
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% collapsed.
% Current number of equations to process: 3506
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [356]
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))
% Current number of equations to process: 3540
% Current number of ordered equations: 1
% Current number of rules: 181
% New rule produced :
% [357]
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% Current number of equations to process: 3540
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [358]
% multiply(inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(
% multiply(
% inverse(A),A))))))))),B)
% -> multiply(inverse(inverse(multiply(inverse(A),A))),B)
% Current number of equations to process: 3546
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [359]
% multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3))))) <->
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))
% Rule
% [356]
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))
% collapsed.
% Current number of equations to process: 3636
% Current number of ordered equations: 1
% Current number of rules: 183
% New rule produced :
% [360]
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))
% <-> multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% Rule
% [357]
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% collapsed.
% Current number of equations to process: 3636
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [361]
% multiply(A,multiply(A,inverse(multiply(inverse(B),B)))) <->
% multiply(A,multiply(A,inverse(inverse(inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))
% Rule
% [224]
% multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3))))) <->
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))))
% collapsed.
% Current number of equations to process: 3715
% Current number of ordered equations: 1
% Current number of rules: 183
% New rule produced :
% [362]
% multiply(A,multiply(A,inverse(inverse(inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))
% <-> multiply(A,multiply(A,inverse(multiply(inverse(B),B))))
% Rule
% [225]
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))))
% <-> multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% collapsed.
% Current number of equations to process: 3715
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [363]
% multiply(C,multiply(inverse(multiply(V_3,multiply(c3,C))),multiply(V_3,
% multiply(c3,B))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,
% multiply(A,B))))
% Rule
% [239]
% multiply(A,multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,
% multiply(c3,B))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(C,c3))),multiply(c3,
% multiply(C,B))))
% collapsed.
% Current number of equations to process: 4150
% Current number of ordered equations: 1
% Current number of rules: 183
% New rule produced :
% [364]
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,
% multiply(A,B))))
% <->
% multiply(C,multiply(inverse(multiply(V_3,multiply(c3,C))),multiply(V_3,
% multiply(c3,B))))
% Rule
% [240]
% multiply(c3,multiply(inverse(multiply(c3,multiply(C,c3))),multiply(c3,
% multiply(C,B))))
% <->
% multiply(A,multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,
% multiply(c3,B))))
% collapsed.
% Current number of equations to process: 4150
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [365]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(c3,C))) <->
% multiply(V_3,multiply(inverse(multiply(V_4,multiply(B,V_3))),multiply(V_4,C)))
% Rule
% [229]
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,B)))
% <->
% multiply(C,multiply(inverse(multiply(V_3,multiply(A,C))),multiply(V_3,B)))
% collapsed.
% Rule
% [231]
% multiply(V_3,multiply(inverse(multiply(c3,multiply(B,V_3))),multiply(c3,C)))
% <-> multiply(c3,multiply(inverse(multiply(A,multiply(B,c3))),multiply(A,C)))
% collapsed.
% Current number of equations to process: 4176
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [366]
% multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),multiply(C,multiply(V_3,A))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,A))))
% Rule
% [241]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(c3,multiply(B,C))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,C))))
% collapsed.
% Current number of equations to process: 4204
% Current number of ordered equations: 1
% Current number of rules: 182
% New rule produced :
% [367]
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,A))))
% <->
% multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),multiply(C,multiply(V_3,A))))
% Rule
% [242]
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,C))))
% <->
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(c3,multiply(B,C))))
% collapsed.
% Current number of equations to process: 4204
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [368]
% multiply(A,multiply(inverse(multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),A))),V_4))
% <->
% multiply(V_5,multiply(inverse(multiply(c3,multiply(inverse(multiply(C,
% multiply(V_3,c3))),V_5))),V_4))
% Rule
% [232]
% multiply(c3,multiply(inverse(multiply(A,multiply(inverse(multiply(B,multiply(C,A))),c3))),V_3))
% <->
% multiply(V_4,multiply(inverse(multiply(c3,multiply(inverse(multiply(B,
% multiply(C,c3))),V_4))),V_3))
% collapsed.
% Rule
% [245]
% multiply(A,multiply(inverse(multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),A))),V_4))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(inverse(multiply(C,
% multiply(V_3,c3))),c3))),V_4))
% collapsed.
% Current number of equations to process: 4398
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [369]
% multiply(A,multiply(inverse(multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),A))),V_4))
% <->
% multiply(c3,multiply(inverse(multiply(V_5,multiply(inverse(multiply(C,
% multiply(V_3,V_5))),c3))),V_4))
% Rule
% [233]
% multiply(V_4,multiply(inverse(multiply(c3,multiply(inverse(multiply(B,
% multiply(C,c3))),V_4))),V_3))
% <->
% multiply(c3,multiply(inverse(multiply(A,multiply(inverse(multiply(B,multiply(C,A))),c3))),V_3))
% collapsed.
% Current number of equations to process: 4505
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [370]
% multiply(inverse(multiply(A,B)),multiply(C,multiply(inverse(multiply(V_3,
% multiply(V_4,C))),V_5)))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(multiply(V_3,
% multiply(V_4,A))),V_5)))
% Rule
% [235]
% multiply(inverse(multiply(A,B)),multiply(c3,multiply(inverse(multiply(C,
% multiply(V_3,c3))),V_4)))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(multiply(C,
% multiply(V_3,A))),V_4)))
% collapsed.
% Current number of equations to process: 4659
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [371]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(B),B))),A)),
% inverse(multiply(inverse(c3),c3))) ->
% multiply(inverse(multiply(c3,A)),multiply(c3,inverse(multiply(inverse(B),B))))
% Current number of equations to process: 4828
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [372]
% multiply(inverse(multiply(A,multiply(inverse(multiply(B,multiply(C,A))),V_3))),
% multiply(V_4,V_5)) <->
% multiply(inverse(multiply(c3,multiply(inverse(multiply(B,multiply(C,V_4))),V_3))),
% multiply(c3,V_5))
% Rule
% [237]
% multiply(inverse(multiply(c3,multiply(inverse(multiply(A,multiply(B,c3))),C))),
% multiply(V_3,V_4)) <->
% multiply(inverse(multiply(c3,multiply(inverse(multiply(A,multiply(B,V_3))),C))),
% multiply(c3,V_4)) collapsed.
% Current number of equations to process: 4976
% Current number of ordered equations: 0
% Current number of rules: 182
% Rule [361]
% multiply(A,multiply(A,inverse(multiply(inverse(B),B)))) <->
% multiply(A,multiply(A,inverse(inverse(inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))) is composed into 
% [361]
% multiply(A,multiply(A,inverse(multiply(inverse(B),B)))) <->
% multiply(A,multiply(A,inverse(inverse(multiply(inverse(C),C)))))
% Rule [359]
% multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% <->
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))) is composed into 
% [359]
% multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3))))) <->
% multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(C),C)))))
% Rule [354]
% inverse(multiply(A,multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% <->
% inverse(multiply(A,multiply(c3,multiply(B,inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))) is composed into 
% [354]
% inverse(multiply(A,multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% <->
% inverse(multiply(A,multiply(c3,multiply(B,inverse(inverse(multiply(inverse(C),C)))))))
% Rule [323]
% inverse(multiply(A,multiply(c3,multiply(B,inverse(multiply(inverse(C),C))))))
% <->
% inverse(multiply(A,multiply(c3,multiply(B,inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))) is composed into 
% [323]
% inverse(multiply(A,multiply(c3,multiply(B,inverse(multiply(inverse(C),C))))))
% <->
% inverse(multiply(A,multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% Rule [309]
% multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% <->
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))) is composed into 
% [309]
% multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3))))) <->
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(multiply(inverse(C),C)))))))
% Rule [293]
% inverse(inverse(multiply(inverse(B),B))) <->
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(A),A)))))) is composed into 
% [293]
% inverse(inverse(multiply(inverse(B),B))) <->
% inverse(inverse(multiply(inverse(A),A)))
% New rule produced :
% [373]
% inverse(inverse(inverse(inverse(multiply(inverse(A),A))))) ->
% inverse(multiply(inverse(A),A))
% Rule
% [14]
% multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),inverse(
% inverse(
% inverse(
% multiply(
% inverse(A),A)))))
% -> inverse(inverse(inverse(multiply(inverse(A),A)))) collapsed.
% Rule
% [18]
% multiply(inverse(inverse(inverse(inverse(inverse(multiply(inverse(A),A)))))),
% inverse(inverse(inverse(inverse(multiply(inverse(A),A)))))) ->
% inverse(inverse(inverse(inverse(multiply(inverse(A),A))))) collapsed.
% Rule
% [110]
% inverse(multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% -> B collapsed.
% Rule
% [122]
% inverse(multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))
% -> B collapsed.
% Rule
% [124]
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(inverse(multiply(
% inverse(V_3),V_3))))))))
% <-> multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(C),C)))))
% collapsed.
% Rule
% [140]
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(inverse(inverse(
% multiply(
% inverse(V_3),V_3)))))))))
% <-> multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(C),C)))))
% collapsed.
% Rule
% [149]
% inverse(multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))))
% -> B collapsed.
% Rule
% [157]
% multiply(c3,multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))))
% -> B collapsed.
% Rule
% [159]
% multiply(c3,multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))))
% -> B collapsed.
% Rule
% [161]
% multiply(c3,multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))))))
% -> B collapsed.
% Rule
% [191]
% multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))))
% -> C collapsed.
% Rule
% [195]
% multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))))
% -> C collapsed.
% Rule
% [215]
% multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))))))
% -> C collapsed.
% Rule
% [223]
% multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))))))
% -> C collapsed.
% Rule
% [264]
% multiply(c3,multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),
% inverse(multiply(inverse(B),multiply(c3,inverse(inverse(multiply(
% inverse(c3),c3))))))))
% -> B collapsed.
% Rule
% [268]
% multiply(inverse(multiply(c3,A)),multiply(c3,inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(A),A))))))))
% -> multiply(inverse(A),multiply(inverse(A),A)) collapsed.
% Rule
% [292]
% inverse(inverse(inverse(inverse(multiply(inverse(A),A))))) <->
% inverse(inverse(multiply(inverse(B),B))) collapsed.
% Rule
% [294]
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(A),A)))))) <->
% inverse(inverse(multiply(inverse(B),B))) collapsed.
% Rule
% [306]
% multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),inverse(
% inverse(
% multiply(
% inverse(B),B))))
% -> inverse(inverse(inverse(multiply(inverse(A),A)))) collapsed.
% Rule
% [307]
% multiply(inverse(inverse(inverse(inverse(inverse(multiply(inverse(A),A)))))),
% inverse(inverse(multiply(inverse(B),B)))) ->
% inverse(inverse(inverse(inverse(multiply(inverse(A),A))))) collapsed.
% Rule
% [310]
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% <-> multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% collapsed.
% Rule
% [322]
% multiply(inverse(inverse(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))))),B)
% -> multiply(inverse(inverse(multiply(inverse(A),A))),B) collapsed.
% Rule
% [324]
% multiply(inverse(A),multiply(c3,multiply(B,inverse(inverse(inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))))
% <->
% multiply(inverse(A),multiply(c3,multiply(B,inverse(multiply(inverse(C),C)))))
% collapsed.
% Rule
% [340]
% multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),inverse(
% multiply(
% inverse(
% multiply(B,C)),
% multiply(B,
% inverse(
% inverse(
% multiply(
% inverse(c3),c3)))))))
% -> C collapsed.
% Rule
% [351]
% multiply(inverse(inverse(inverse(inverse(inverse(inverse(inverse(multiply(
% inverse(A),A)))))))),B)
% -> multiply(inverse(inverse(multiply(inverse(A),A))),B) collapsed.
% Rule
% [355]
% inverse(multiply(A,multiply(c3,multiply(B,inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% <->
% inverse(multiply(A,multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% collapsed.
% Rule
% [358]
% multiply(inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(
% multiply(
% inverse(A),A))))))))),B)
% -> multiply(inverse(inverse(multiply(inverse(A),A))),B) collapsed.
% Rule
% [360]
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))
% <-> multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% collapsed.
% Rule
% [362]
% multiply(A,multiply(A,inverse(inverse(inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))
% <-> multiply(A,multiply(A,inverse(multiply(inverse(B),B)))) collapsed.
% Current number of equations to process: 3099
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [374]
% multiply(inverse(multiply(inverse(A),A)),inverse(inverse(multiply(inverse(B),B))))
% -> inverse(inverse(inverse(multiply(inverse(A),A))))
% Rule
% [303]
% multiply(inverse(multiply(inverse(B),B)),inverse(inverse(multiply(inverse(B),B))))
% -> inverse(multiply(inverse(B),B)) collapsed.
% Rule
% [317]
% multiply(inverse(multiply(inverse(A),A)),inverse(inverse(multiply(inverse(c3),c3))))
% -> inverse(multiply(inverse(A),A)) collapsed.
% Current number of equations to process: 3098
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [375]
% multiply(inverse(multiply(inverse(A),A)),inverse(inverse(inverse(multiply(
% inverse(A),A)))))
% -> inverse(inverse(inverse(multiply(inverse(A),A))))
% Current number of equations to process: 3094
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [376]
% multiply(inverse(multiply(c3,A)),multiply(c3,inverse(inverse(multiply(
% inverse(A),A)))))
% -> multiply(inverse(A),multiply(inverse(A),A))
% Current number of equations to process: 3093
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [377]
% inverse(multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B
% Rule
% [332]
% multiply(c3,inverse(multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,
% multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% -> multiply(c3,B) collapsed.
% Current number of equations to process: 3092
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [378]
% multiply(c3,multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% -> B
% Current number of equations to process: 3091
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [379]
% multiply(c3,multiply(inverse(multiply(inverse(A),A)),inverse(multiply(
% inverse(B),
% multiply(c3,
% inverse(
% inverse(
% multiply(
% inverse(c3),c3))))))))
% -> B
% Current number of equations to process: 3090
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [380]
% multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,inverse(inverse(
% multiply(
% inverse(c3),c3)))))))
% -> C
% Current number of equations to process: 3089
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [381]
% inverse(multiply(inverse(C),C)) <->
% multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,multiply(A,
% inverse(
% inverse(
% multiply(
% inverse(B),B)))))))
% Current number of equations to process: 3096
% Current number of ordered equations: 1
% Current number of rules: 159
% Rule [381]
% inverse(multiply(inverse(C),C)) <->
% multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,
% multiply(A,
% inverse(
% inverse(
% multiply(
% inverse(B),B))))))) is composed into 
% [381] inverse(multiply(inverse(C),C)) <-> inverse(multiply(inverse(c3),c3))
% New rule produced :
% [382]
% multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,multiply(A,
% inverse(
% inverse(
% multiply(
% inverse(B),B)))))))
% <-> inverse(multiply(inverse(C),C))
% Current number of equations to process: 3096
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [383]
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,
% multiply(A,
% inverse(inverse(
% multiply(
% inverse(B),B)))))))
% -> inverse(inverse(multiply(inverse(c3),c3)))
% Current number of equations to process: 3095
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [384]
% inverse(multiply(inverse(A),A)) <->
% multiply(c3,multiply(inverse(inverse(multiply(inverse(c3),c3))),multiply(
% inverse(c3),
% multiply(
% inverse(c3),c3))))
% Current number of equations to process: 3097
% Current number of ordered equations: 1
% Current number of rules: 162
% Rule [384]
% inverse(multiply(inverse(A),A)) <->
% multiply(c3,multiply(inverse(inverse(multiply(inverse(c3),c3))),
% multiply(inverse(c3),multiply(inverse(c3),c3)))) is composed into 
% [384] inverse(multiply(inverse(A),A)) <-> inverse(multiply(inverse(c3),c3))
% New rule produced :
% [385]
% multiply(c3,multiply(inverse(inverse(multiply(inverse(c3),c3))),multiply(
% inverse(c3),
% multiply(
% inverse(c3),c3))))
% <-> inverse(multiply(inverse(A),A))
% Current number of equations to process: 3097
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [386]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(c3,multiply(B,
% inverse(
% multiply(
% inverse(C),C))))))
% -> inverse(multiply(inverse(C),C))
% Rule
% [244]
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),multiply(c3,
% multiply(B,
% inverse(multiply(
% inverse(A),A))))))
% -> inverse(multiply(inverse(A),A)) collapsed.
% Current number of equations to process: 3109
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [387]
% multiply(A,multiply(inverse(multiply(B,multiply(inverse(inverse(multiply(
% inverse(C),C))),A))),V_3))
% ->
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(multiply(B,
% inverse(multiply(
% inverse(C),C)))),V_3))
% Rule
% [247]
% multiply(c3,multiply(inverse(multiply(B,multiply(inverse(inverse(multiply(
% inverse(A),A))),c3))),C))
% ->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(B,
% inverse(multiply(
% inverse(A),A)))),C))
% collapsed.
% Current number of equations to process: 3344
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [388]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(inverse(C),C))))
% Current number of equations to process: 3663
% Current number of ordered equations: 1
% Current number of rules: 164
% New rule produced :
% [389]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(inverse(C),C))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% Current number of equations to process: 3663
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [390]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(inverse(C),C))))
% Current number of equations to process: 3664
% Current number of ordered equations: 1
% Current number of rules: 166
% New rule produced :
% [391]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(inverse(C),C))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))
% Current number of equations to process: 3664
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [392]
% multiply(multiply(C,V_5),multiply(inverse(multiply(B,multiply(inverse(
% multiply(c3,V_3)),
% multiply(c3,V_5)))),V_4))
% <->
% multiply(A,multiply(inverse(multiply(B,multiply(inverse(multiply(C,V_3)),A))),V_4))
% Rule
% [248]
% multiply(multiply(A,B),multiply(inverse(multiply(C,multiply(inverse(multiply(c3,V_3)),
% multiply(c3,B)))),V_4))
% <->
% multiply(c3,multiply(inverse(multiply(C,multiply(inverse(multiply(A,V_3)),c3))),V_4))
% collapsed.
% Current number of equations to process: 3666
% Current number of ordered equations: 1
% Current number of rules: 167
% New rule produced :
% [393]
% multiply(A,multiply(inverse(multiply(B,multiply(inverse(multiply(C,V_3)),A))),V_4))
% <->
% multiply(multiply(C,V_5),multiply(inverse(multiply(B,multiply(inverse(
% multiply(c3,V_3)),
% multiply(c3,V_5)))),V_4))
% Rule
% [249]
% multiply(c3,multiply(inverse(multiply(C,multiply(inverse(multiply(A,V_3)),c3))),V_4))
% <->
% multiply(multiply(A,B),multiply(inverse(multiply(C,multiply(inverse(multiply(c3,V_3)),
% multiply(c3,B)))),V_4))
% collapsed.
% Current number of equations to process: 3666
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [394]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,multiply(inverse(C),C))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,inverse(multiply(
% inverse(V_3),V_3)))))
% Current number of equations to process: 3672
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced :
% [395]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,multiply(inverse(C),C))))
% Current number of equations to process: 3672
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [396]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(c3),c3))),A)),
% multiply(inverse(inverse(multiply(inverse(B),B))),C)) <->
% multiply(inverse(multiply(V_3,A)),multiply(V_3,C))
% Current number of equations to process: 3681
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [397]
% multiply(inverse(multiply(inverse(c3),c3)),multiply(inverse(inverse(multiply(
% inverse(c3),c3))),C))
% <-> multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,C))
% Current number of equations to process: 3690
% Current number of ordered equations: 1
% Current number of rules: 171
% New rule produced :
% [398]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,C)) <->
% multiply(inverse(multiply(inverse(c3),c3)),multiply(inverse(inverse(multiply(
% inverse(c3),c3))),C))
% Current number of equations to process: 3690
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [399]
% multiply(V_4,multiply(inverse(multiply(A,multiply(B,V_4))),V_3)) <->
% multiply(inverse(multiply(c3,multiply(A,multiply(B,inverse(inverse(multiply(
% inverse(C),C))))))),
% multiply(c3,V_3))
% Current number of equations to process: 3702
% Current number of ordered equations: 1
% Current number of rules: 173
% Rule [399]
% multiply(V_4,multiply(inverse(multiply(A,multiply(B,V_4))),V_3)) <->
% multiply(inverse(multiply(c3,multiply(A,multiply(B,inverse(inverse(
% multiply(
% inverse(C),C))))))),
% multiply(c3,V_3)) is composed into [399]
% multiply(V_4,multiply(inverse(
% multiply(A,
% multiply(B,V_4))),V_3))
% <->
% multiply(c3,multiply(inverse(
% multiply(A,
% multiply(B,c3))),V_3))
% New rule produced :
% [400]
% multiply(inverse(multiply(c3,multiply(A,multiply(B,inverse(inverse(multiply(
% inverse(C),C))))))),
% multiply(c3,V_3)) <->
% multiply(V_4,multiply(inverse(multiply(A,multiply(B,V_4))),V_3))
% Rule
% [320]
% multiply(inverse(multiply(c3,multiply(A,multiply(B,inverse(inverse(multiply(
% inverse(c3),c3))))))),
% multiply(c3,C)) <->
% multiply(V_3,multiply(inverse(multiply(A,multiply(B,V_3))),C)) collapsed.
% Current number of equations to process: 3702
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [401]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(inverse(C),C))))
% Current number of equations to process: 3710
% Current number of ordered equations: 1
% Current number of rules: 174
% New rule produced :
% [402]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(inverse(C),C))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))
% Current number of equations to process: 3710
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [403]
% multiply(c3,multiply(inverse(inverse(multiply(inverse(c3),c3))),inverse(
% multiply(
% inverse(A),
% multiply(c3,
% inverse(
% inverse(
% multiply(
% inverse(B),B))))))))
% -> A
% Rule
% [321]
% multiply(c3,multiply(inverse(inverse(multiply(inverse(c3),c3))),inverse(
% multiply(
% inverse(A),
% multiply(c3,
% inverse(
% inverse(
% multiply(
% inverse(c3),c3))))))))
% -> A collapsed.
% Current number of equations to process: 3713
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [404]
% multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,multiply(
% inverse(C),C))))))
% <->
% multiply(V_3,inverse(multiply(inverse(B),multiply(c3,multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% Current number of equations to process: 3712
% Current number of ordered equations: 1
% Current number of rules: 176
% New rule produced :
% [405]
% multiply(V_3,inverse(multiply(inverse(B),multiply(c3,multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,multiply(
% inverse(C),C))))))
% Current number of equations to process: 3712
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [406]
% multiply(V_4,multiply(inverse(multiply(A,multiply(B,V_4))),V_3)) <->
% multiply(inverse(multiply(c3,multiply(A,multiply(B,inverse(multiply(inverse(C),C)))))),
% multiply(c3,V_3))
% Current number of equations to process: 3923
% Current number of ordered equations: 1
% Current number of rules: 178
% Rule [406]
% multiply(V_4,multiply(inverse(multiply(A,multiply(B,V_4))),V_3)) <->
% multiply(inverse(multiply(c3,multiply(A,multiply(B,inverse(multiply(
% inverse(C),C)))))),
% multiply(c3,V_3)) is composed into [406]
% multiply(V_4,multiply(inverse(
% multiply(A,
% multiply(B,V_4))),V_3))
% <->
% multiply(c3,multiply(inverse(
% multiply(A,
% multiply(B,c3))),V_3))
% New rule produced :
% [407]
% multiply(inverse(multiply(c3,multiply(A,multiply(B,inverse(multiply(inverse(C),C)))))),
% multiply(c3,V_3)) <->
% multiply(V_4,multiply(inverse(multiply(A,multiply(B,V_4))),V_3))
% Rule
% [253]
% multiply(inverse(multiply(c3,multiply(c3,multiply(A,inverse(multiply(
% inverse(B),B)))))),
% multiply(c3,C)) ->
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),C)) collapsed.
% Rule
% [272]
% multiply(inverse(multiply(c3,multiply(A,multiply(c3,inverse(multiply(
% inverse(C),C)))))),
% multiply(c3,B)) ->
% multiply(c3,multiply(inverse(multiply(A,multiply(c3,c3))),B)) collapsed.
% Current number of equations to process: 3923
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [408]
% multiply(inverse(multiply(A,multiply(c3,multiply(B,inverse(multiply(inverse(C),C)))))),
% multiply(A,V_3)) ->
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),V_3))
% Current number of equations to process: 3923
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [409]
% multiply(inverse(multiply(A,multiply(c3,multiply(B,inverse(inverse(inverse(
% multiply(
% inverse(C),C)))))))),
% multiply(A,V_3)) ->
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),V_3))
% Current number of equations to process: 3951
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [410]
% multiply(c3,multiply(inverse(inverse(multiply(inverse(A),A))),inverse(
% multiply(
% inverse(B),
% multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3)))))))
% -> B
% Current number of equations to process: 4051
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [411]
% multiply(c3,multiply(inverse(inverse(multiply(inverse(A),A))),inverse(
% multiply(
% inverse(B),
% multiply(c3,
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B
% Rule
% [403]
% multiply(c3,multiply(inverse(inverse(multiply(inverse(c3),c3))),inverse(
% multiply(
% inverse(A),
% multiply(c3,
% inverse(
% inverse(
% multiply(
% inverse(B),B))))))))
% -> A collapsed.
% Current number of equations to process: 4056
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [412]
% multiply(c3,multiply(inverse(multiply(inverse(A),A)),inverse(multiply(
% inverse(B),
% multiply(c3,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(A),A)))))))))
% -> B
% Current number of equations to process: 4059
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [413]
% multiply(c3,multiply(inverse(inverse(multiply(inverse(c3),c3))),inverse(
% multiply(
% inverse(A),
% multiply(c3,
% inverse(
% multiply(
% inverse(B),B)))))))
% -> A
% Current number of equations to process: 4063
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [414]
% multiply(c3,multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),
% inverse(multiply(inverse(B),multiply(c3,inverse(inverse(multiply(
% inverse(C),C))))))))
% -> B
% Rule
% [158]
% multiply(c3,multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),
% inverse(multiply(inverse(B),multiply(c3,inverse(inverse(multiply(
% inverse(A),A))))))))
% -> B collapsed.
% Rule
% [263]
% multiply(c3,multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),
% inverse(multiply(inverse(B),multiply(c3,inverse(inverse(multiply(
% inverse(c3),c3))))))))
% -> B collapsed.
% Current number of equations to process: 4105
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [415]
% multiply(inverse(multiply(c3,multiply(c3,inverse(multiply(inverse(A),A))))),
% multiply(c3,B)) ->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(c3,
% inverse(multiply(
% inverse(A),A)))),B))
% Current number of equations to process: 4104
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [416]
% multiply(A,inverse(multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),
% multiply(A,inverse(multiply(inverse(C),C)))))))
% <-> multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))
% Current number of equations to process: 4115
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [417]
% multiply(inverse(multiply(C,multiply(C,A))),multiply(C,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,multiply(c3,
% inverse(multiply(
% inverse(B),B)))))
% Current number of equations to process: 4119
% Current number of ordered equations: 1
% Current number of rules: 184
% New rule produced :
% [418]
% multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,multiply(c3,
% inverse(multiply(
% inverse(B),B)))))
% <->
% multiply(inverse(multiply(C,multiply(C,A))),multiply(C,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3)))))
% Current number of equations to process: 4119
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [419]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),V_3)) <->
% multiply(V_4,multiply(inverse(multiply(B,multiply(C,V_4))),V_3))
% Rule
% [134]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),V_3)) <->
% multiply(c3,multiply(inverse(multiply(B,multiply(C,c3))),V_3)) collapsed.
% Rule
% [135]
% multiply(c3,multiply(inverse(multiply(B,multiply(C,c3))),V_3)) <->
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),V_3)) collapsed.
% Rule
% [399]
% multiply(V_4,multiply(inverse(multiply(A,multiply(B,V_4))),V_3)) <->
% multiply(c3,multiply(inverse(multiply(A,multiply(B,c3))),V_3)) collapsed.
% Rule
% [406]
% multiply(V_4,multiply(inverse(multiply(A,multiply(B,V_4))),V_3)) <->
% multiply(c3,multiply(inverse(multiply(A,multiply(B,c3))),V_3)) collapsed.
% Current number of equations to process: 4109
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [420]
% multiply(c3,multiply(inverse(multiply(A,multiply(B,c3))),multiply(c3,
% inverse(multiply(
% inverse(C),C)))))
% <->
% multiply(V_3,multiply(inverse(multiply(A,multiply(B,V_3))),multiply(c3,
% inverse(multiply(
% inverse(V_4),V_4)))))
% Current number of equations to process: 4091
% Current number of ordered equations: 1
% Current number of rules: 183
% New rule produced :
% [421]
% multiply(V_3,multiply(inverse(multiply(A,multiply(B,V_3))),multiply(c3,
% inverse(multiply(
% inverse(V_4),V_4)))))
% <->
% multiply(c3,multiply(inverse(multiply(A,multiply(B,c3))),multiply(c3,
% inverse(multiply(
% inverse(C),C)))))
% Current number of equations to process: 4091
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [422]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% Current number of equations to process: 4080
% Current number of ordered equations: 1
% Current number of rules: 185
% New rule produced :
% [423]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))
% Current number of equations to process: 4080
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [424]
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(C),C)))))))
% <->
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(B,
% multiply(c3,
% inverse(multiply(
% inverse(A),A))))))
% Current number of equations to process: 4072
% Current number of ordered equations: 1
% Current number of rules: 187
% New rule produced :
% [425]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(B,
% multiply(c3,
% inverse(multiply(
% inverse(A),A))))))
% <->
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(C),C)))))))
% Current number of equations to process: 4072
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [426]
% inverse(multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(C,inverse(
% inverse(
% multiply(
% inverse(V_5),V_5)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% Current number of equations to process: 4069
% Current number of ordered equations: 1
% Current number of rules: 189
% New rule produced :
% [427]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% <->
% inverse(multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(C,inverse(
% inverse(
% multiply(
% inverse(V_5),V_5)))))))
% Current number of equations to process: 4069
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [428]
% multiply(inverse(multiply(c3,multiply(A,inverse(multiply(inverse(V_3),V_3))))),
% multiply(c3,C)) <->
% multiply(inverse(multiply(A,multiply(A,inverse(multiply(inverse(B),B))))),
% multiply(A,C))
% Current number of equations to process: 4061
% Current number of ordered equations: 1
% Current number of rules: 191
% New rule produced :
% [429]
% multiply(inverse(multiply(A,multiply(A,inverse(multiply(inverse(B),B))))),
% multiply(A,C)) <->
% multiply(inverse(multiply(c3,multiply(A,inverse(multiply(inverse(V_3),V_3))))),
% multiply(c3,C))
% Current number of equations to process: 4061
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [430]
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(multiply(
% inverse(V_3),V_3)),
% multiply(inverse(inverse(
% multiply(
% inverse(V_3),V_3))),C)))
% <->
% multiply(inverse(multiply(c3,multiply(A,inverse(multiply(inverse(B),B))))),
% multiply(c3,multiply(A,C)))
% Current number of equations to process: 4059
% Current number of ordered equations: 1
% Current number of rules: 193
% New rule produced :
% [431]
% multiply(inverse(multiply(c3,multiply(A,inverse(multiply(inverse(B),B))))),
% multiply(c3,multiply(A,C))) <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(multiply(
% inverse(V_3),V_3)),
% multiply(inverse(inverse(
% multiply(
% inverse(V_3),V_3))),C)))
% Current number of equations to process: 4059
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [432]
% multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),B)),
% multiply(inverse(inverse(inverse(multiply(inverse(C),C)))),V_3)) <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,V_3))
% Current number of equations to process: 4057
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [433]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),B)),
% inverse(inverse(inverse(multiply(inverse(C),C))))) ->
% multiply(inverse(multiply(c3,B)),multiply(c3,inverse(inverse(inverse(
% multiply(
% inverse(C),C))))))
% Current number of equations to process: 4056
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [434]
% multiply(c3,multiply(inverse(multiply(V_3,multiply(A,c3))),multiply(V_3,C)))
% <->
% multiply(multiply(A,inverse(multiply(inverse(B),B))),multiply(c3,multiply(
% inverse(
% multiply(A,
% multiply(A,c3))),C)))
% Current number of equations to process: 4051
% Current number of ordered equations: 1
% Current number of rules: 197
% New rule produced :
% [435]
% multiply(multiply(A,inverse(multiply(inverse(B),B))),multiply(c3,multiply(
% inverse(
% multiply(A,
% multiply(A,c3))),C)))
% <->
% multiply(c3,multiply(inverse(multiply(V_3,multiply(A,c3))),multiply(V_3,C)))
% Current number of equations to process: 4051
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [436]
% multiply(c3,inverse(multiply(inverse(multiply(c3,A)),multiply(c3,multiply(c3,
% multiply(
% inverse(B),B))))))
% ->
% multiply(c3,multiply(c3,inverse(multiply(inverse(A),multiply(c3,multiply(c3,
% multiply(
% inverse(c3),c3)))))))
% Current number of equations to process: 4044
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [437]
% multiply(inverse(multiply(inverse(multiply(c3,A)),B)),multiply(inverse(
% multiply(C,A)),
% multiply(C,V_3))) ->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(c3,V_3)))
% Rule
% [256]
% multiply(inverse(multiply(inverse(multiply(c3,A)),multiply(c3,B))),multiply(
% inverse(
% multiply(C,A)),
% multiply(C,V_3)))
% ->
% multiply(inverse(multiply(c3,multiply(c3,B))),multiply(c3,multiply(c3,V_3)))
% collapsed.
% Current number of equations to process: 4071
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [438]
% multiply(c3,multiply(c3,multiply(c3,inverse(multiply(inverse(A),multiply(c3,
% multiply(c3,
% multiply(
% inverse(c3),c3))))))))
% -> multiply(c3,A)
% Current number of equations to process: 4082
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [439]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% <->
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% Rule
% [209]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% <->
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(V_3),V_3)))))))
% collapsed.
% Current number of equations to process: 4085
% Current number of ordered equations: 1
% Current number of rules: 200
% New rule produced :
% [440]
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% Rule
% [210]
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% collapsed.
% Current number of equations to process: 4085
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [441]
% multiply(A,inverse(multiply(inverse(multiply(c3,multiply(c3,B))),multiply(c3,
% multiply(c3,
% multiply(
% inverse(C),C))))))
% -> multiply(A,B)
% Current number of equations to process: 4107
% Current number of ordered equations: 0
% Current number of rules: 201
% Rule [436]
% multiply(c3,inverse(multiply(inverse(multiply(c3,A)),multiply(c3,
% multiply(c3,
% multiply(inverse(B),B))))))
% ->
% multiply(c3,multiply(c3,inverse(multiply(inverse(A),multiply(c3,
% multiply(c3,
% multiply(inverse(c3),c3))))))) is composed into 
% [436]
% multiply(c3,inverse(multiply(inverse(multiply(c3,A)),multiply(c3,multiply(c3,
% multiply(
% inverse(B),B))))))
% -> A
% New rule produced :
% [442]
% multiply(c3,multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,
% multiply(
% inverse(C),C)))))))
% -> B
% Rule
% [438]
% multiply(c3,multiply(c3,multiply(c3,inverse(multiply(inverse(A),multiply(c3,
% multiply(c3,
% multiply(
% inverse(c3),c3))))))))
% -> multiply(c3,A) collapsed.
% Current number of equations to process: 4108
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [443]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,multiply(inverse(C),C))))))
% <->
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% Rule
% [404]
% multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,multiply(
% inverse(C),C))))))
% <->
% multiply(V_3,inverse(multiply(inverse(B),multiply(c3,multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% collapsed.
% Current number of equations to process: 4200
% Current number of ordered equations: 1
% Current number of rules: 201
% New rule produced :
% [444]
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,multiply(inverse(C),C))))))
% Rule
% [258]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(multiply(
% inverse(C),C)))))))
% <->
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% collapsed.
% Rule
% [405]
% multiply(V_3,inverse(multiply(inverse(B),multiply(c3,multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,multiply(
% inverse(C),C))))))
% collapsed.
% Current number of equations to process: 4200
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [445]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(B,multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(B,multiply(B,
% inverse(multiply(
% inverse(V_4),V_4))))))
% Current number of equations to process: 4231
% Current number of ordered equations: 1
% Current number of rules: 201
% Rule [260]
% multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(B,multiply(B,
% inverse(
% multiply(
% inverse(V_4),V_4))))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(B,
% inverse(
% multiply(
% inverse(C),C)))))) is composed into 
% [260]
% multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(B,multiply(B,
% inverse(multiply(
% inverse(V_4),V_4))))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(B,multiply(
% inverse(C),C)))))
% New rule produced :
% [446]
% multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(B,multiply(B,
% inverse(multiply(
% inverse(V_4),V_4))))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(B,multiply(
% inverse(C),C)))))
% Rule
% [259]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(B,inverse(
% multiply(
% inverse(C),C))))))
% <->
% multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(B,multiply(B,
% inverse(multiply(
% inverse(V_4),V_4))))))
% collapsed.
% Current number of equations to process: 4231
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [447]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(c3,multiply(c3,
% multiply(inverse(C),C)))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(c3,multiply(c3,
% multiply(inverse(B),B)))))
% Current number of equations to process: 4243
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [448]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(B,multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(B,multiply(
% inverse(C),C)))))
% Rule
% [447]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(c3,multiply(c3,
% multiply(inverse(C),C)))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(c3,multiply(c3,
% multiply(inverse(B),B)))))
% collapsed.
% Current number of equations to process: 4266
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [449]
% multiply(inverse(A),multiply(c3,multiply(B,multiply(B,inverse(multiply(
% inverse(C),C))))))
% <->
% multiply(inverse(A),multiply(c3,multiply(B,multiply(B,multiply(inverse(V_3),V_3)))))
% Current number of equations to process: 4287
% Current number of ordered equations: 1
% Current number of rules: 203
% New rule produced :
% [450]
% multiply(inverse(A),multiply(c3,multiply(B,multiply(B,multiply(inverse(V_3),V_3)))))
% <->
% multiply(inverse(A),multiply(c3,multiply(B,multiply(B,inverse(multiply(
% inverse(C),C))))))
% Current number of equations to process: 4287
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [451]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,multiply(C,multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(C,multiply(C,multiply(
% inverse(V_4),V_4)))))
% Rule
% [448]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(B,multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(B,multiply(
% inverse(C),C)))))
% collapsed.
% Current number of equations to process: 4299
% Current number of ordered equations: 1
% Current number of rules: 204
% New rule produced :
% [452]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(C,multiply(C,multiply(
% inverse(V_4),V_4)))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,multiply(C,multiply(
% inverse(V_3),V_3)))))
% Current number of equations to process: 4299
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [453]
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(multiply(inverse(A),A)))))),
% multiply(c3,B)) <->
% multiply(inverse(multiply(inverse(c3),c3)),multiply(inverse(multiply(c3,
% inverse(multiply(
% inverse(c3),c3)))),B))
% Current number of equations to process: 4389
% Current number of ordered equations: 1
% Current number of rules: 206
% New rule produced :
% [454]
% multiply(inverse(multiply(inverse(c3),c3)),multiply(inverse(multiply(c3,
% inverse(multiply(
% inverse(c3),c3)))),B))
% <->
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(multiply(inverse(A),A)))))),
% multiply(c3,B))
% Current number of equations to process: 4389
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [455]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(c3,
% inverse(multiply(
% inverse(A),A)))),B))
% <->
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(multiply(
% inverse(C),C))))))),
% multiply(c3,B))
% Current number of equations to process: 4403
% Current number of ordered equations: 1
% Current number of rules: 208
% New rule produced :
% [456]
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(multiply(
% inverse(C),C))))))),
% multiply(c3,B)) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(c3,
% inverse(multiply(
% inverse(A),A)))),B))
% Current number of equations to process: 4403
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [457]
% multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,inverse(
% multiply(
% inverse(B),B)))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,
% inverse(multiply(
% inverse(C),C)))))
% Current number of equations to process: 4402
% Current number of ordered equations: 1
% Current number of rules: 210
% New rule produced :
% [458]
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,
% inverse(multiply(
% inverse(C),C)))))
% <->
% multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,inverse(
% multiply(
% inverse(B),B)))))
% Current number of equations to process: 4402
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [459]
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(c3,multiply(c3,B))),multiply(c3,multiply(c3,
% inverse(multiply(
% inverse(V_3),V_3)))))
% Current number of equations to process: 4439
% Current number of ordered equations: 1
% Current number of rules: 212
% New rule produced :
% [460]
% multiply(inverse(multiply(c3,multiply(c3,B))),multiply(c3,multiply(c3,
% inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,multiply(
% inverse(C),C))))
% Current number of equations to process: 4439
% Current number of ordered equations: 0
% Current number of rules: 213
% Rule [417]
% multiply(inverse(multiply(C,multiply(C,A))),multiply(C,multiply(C,
% inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,multiply(c3,
% inverse(
% multiply(
% inverse(B),B))))) is composed into 
% [417]
% multiply(inverse(multiply(C,multiply(C,A))),multiply(C,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,multiply(c3,
% multiply(inverse(B),B))))
% New rule produced :
% [461]
% multiply(inverse(multiply(c3,multiply(C,A))),multiply(c3,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,multiply(c3,
% multiply(inverse(B),B))))
% Rule
% [418]
% multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,multiply(c3,
% inverse(multiply(
% inverse(B),B)))))
% <->
% multiply(inverse(multiply(C,multiply(C,A))),multiply(C,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3)))))
% collapsed.
% Current number of equations to process: 4494
% Current number of ordered equations: 1
% Current number of rules: 213
% New rule produced :
% [462]
% multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,multiply(c3,
% multiply(inverse(B),B))))
% <->
% multiply(inverse(multiply(c3,multiply(C,A))),multiply(c3,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3)))))
% Current number of equations to process: 4493
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [463]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,inverse(
% multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(C,c3))),multiply(c3,
% inverse(multiply(
% inverse(V_4),V_4)))))
% Rule
% [457]
% multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,inverse(
% multiply(
% inverse(B),B)))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,
% inverse(multiply(
% inverse(C),C)))))
% collapsed.
% Current number of equations to process: 4489
% Current number of ordered equations: 1
% Current number of rules: 214
% New rule produced :
% [464]
% multiply(c3,multiply(inverse(multiply(c3,multiply(C,c3))),multiply(c3,
% inverse(multiply(
% inverse(V_4),V_4)))))
% <->
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,inverse(
% multiply(
% inverse(V_3),V_3)))))
% Rule
% [458]
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,
% inverse(multiply(
% inverse(C),C)))))
% <->
% multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,inverse(
% multiply(
% inverse(B),B)))))
% collapsed.
% Current number of equations to process: 4489
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [465]
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,inverse(
% multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(c3,multiply(V_3,B))),multiply(c3,multiply(V_3,
% inverse(multiply(
% inverse(V_4),V_4)))))
% Rule
% [266]
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,inverse(
% multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(c3,multiply(c3,B))),multiply(c3,multiply(c3,
% inverse(multiply(
% inverse(V_3),V_3)))))
% collapsed.
% Rule
% [267]
% multiply(inverse(multiply(c3,multiply(c3,B))),multiply(c3,multiply(c3,
% inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,inverse(
% multiply(
% inverse(C),C)))))
% collapsed.
% Current number of equations to process: 4487
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [466]
% inverse(multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(c3,
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <-> multiply(B,inverse(inverse(multiply(inverse(V_3),V_3))))
% Rule
% [304]
% inverse(multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <-> multiply(A,inverse(inverse(multiply(inverse(B),B)))) collapsed.
% Current number of equations to process: 4527
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [467]
% multiply(inverse(multiply(A,multiply(A,multiply(inverse(B),B)))),multiply(A,
% multiply(A,
% inverse(
% multiply(
% inverse(C),C)))))
% -> inverse(inverse(multiply(inverse(c3),c3)))
% Current number of equations to process: 4558
% Current number of ordered equations: 1
% Current number of rules: 214
% New rule produced :
% [468]
% multiply(inverse(multiply(A,multiply(A,inverse(multiply(inverse(B),B))))),
% multiply(A,multiply(A,multiply(inverse(C),C)))) ->
% inverse(inverse(multiply(inverse(B),B)))
% Current number of equations to process: 4558
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [469]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),B))
% <->
% multiply(inverse(inverse(multiply(inverse(c3),c3))),multiply(inverse(
% multiply(
% inverse(A),A)),B))
% Current number of equations to process: 4573
% Current number of ordered equations: 1
% Current number of rules: 216
% New rule produced :
% [470]
% multiply(inverse(inverse(multiply(inverse(c3),c3))),multiply(inverse(
% multiply(
% inverse(A),A)),B))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),B))
% Current number of equations to process: 4573
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [471]
% inverse(multiply(inverse(A),A)) <->
% multiply(c3,multiply(inverse(multiply(c3,c3)),multiply(c3,multiply(inverse(c3),c3))))
% Current number of equations to process: 4587
% Current number of ordered equations: 1
% Current number of rules: 218
% Rule [471]
% inverse(multiply(inverse(A),A)) <->
% multiply(c3,multiply(inverse(multiply(c3,c3)),multiply(c3,multiply(
% inverse(c3),c3)))) is composed into 
% [471] inverse(multiply(inverse(A),A)) <-> inverse(multiply(inverse(c3),c3))
% New rule produced :
% [472]
% multiply(c3,multiply(inverse(multiply(c3,c3)),multiply(c3,multiply(inverse(c3),c3))))
% <-> inverse(multiply(inverse(A),A))
% Current number of equations to process: 4587
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [473]
% inverse(multiply(inverse(B),B)) <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% multiply(inverse(A),A)))))
% Current number of equations to process: 4602
% Current number of ordered equations: 1
% Current number of rules: 220
% Rule [473]
% inverse(multiply(inverse(B),B)) <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% multiply(
% inverse(A),A))))) is composed into 
% [473] inverse(multiply(inverse(B),B)) <-> inverse(multiply(inverse(c3),c3))
% New rule produced :
% [474]
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% multiply(inverse(A),A)))))
% <-> inverse(multiply(inverse(B),B))
% Current number of equations to process: 4602
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [475]
% inverse(multiply(inverse(C),C)) <->
% multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,multiply(A,
% multiply(
% inverse(B),B)))))
% Current number of equations to process: 4609
% Current number of ordered equations: 1
% Current number of rules: 222
% Rule [475]
% inverse(multiply(inverse(C),C)) <->
% multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,
% multiply(A,
% multiply(
% inverse(B),B))))) is composed into 
% [475] inverse(multiply(inverse(C),C)) <-> inverse(multiply(inverse(c3),c3))
% New rule produced :
% [476]
% multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,multiply(A,
% multiply(
% inverse(B),B)))))
% <-> inverse(multiply(inverse(C),C))
% Rule
% [474]
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% multiply(inverse(A),A)))))
% <-> inverse(multiply(inverse(B),B)) collapsed.
% Current number of equations to process: 4609
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [477]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),inverse(multiply(
% inverse(C),C))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),inverse(multiply(
% inverse(c3),c3))))
% Current number of equations to process: 4631
% Current number of ordered equations: 1
% Current number of rules: 223
% New rule produced :
% [478]
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),inverse(multiply(
% inverse(c3),c3))))
% <->
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),inverse(multiply(
% inverse(C),C))))
% Current number of equations to process: 4631
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [479]
% multiply(C,multiply(inverse(multiply(c3,multiply(A,C))),inverse(multiply(
% inverse(c3),c3))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),inverse(multiply(
% inverse(B),B))))
% Current number of equations to process: 4630
% Current number of ordered equations: 1
% Current number of rules: 225
% New rule produced :
% [480]
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),inverse(multiply(
% inverse(B),B))))
% <->
% multiply(C,multiply(inverse(multiply(c3,multiply(A,C))),inverse(multiply(
% inverse(c3),c3))))
% Current number of equations to process: 4630
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [481]
% inverse(multiply(inverse(B),B)) <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(inverse(
% inverse(
% multiply(
% inverse(A),A))))))))
% Current number of equations to process: 4637
% Current number of ordered equations: 1
% Current number of rules: 227
% Rule [481]
% inverse(multiply(inverse(B),B)) <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(A),A)))))))) is composed into 
% [481] inverse(multiply(inverse(B),B)) <-> inverse(multiply(inverse(c3),c3))
% New rule produced :
% [482]
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(inverse(
% inverse(
% multiply(
% inverse(A),A))))))))
% <-> inverse(multiply(inverse(B),B))
% Current number of equations to process: 4637
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [483]
% multiply(inverse(multiply(inverse(c3),c3)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(multiply(inverse(B),
% inverse(multiply(inverse(c3),c3))))))
% -> B
% Current number of equations to process: 4696
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [484]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(c3),c3))),
% inverse(multiply(inverse(B),
% inverse(multiply(inverse(c3),c3))))))
% -> B
% Current number of equations to process: 4735
% Current number of ordered equations: 1
% Current number of rules: 230
% New rule produced :
% [485]
% multiply(inverse(multiply(inverse(c3),c3)),multiply(inverse(inverse(multiply(
% inverse(c3),c3))),
% inverse(multiply(inverse(A),
% inverse(multiply(inverse(B),B))))))
% -> A
% Current number of equations to process: 4735
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced : [486] multiply(inverse(B),B) <-> multiply(inverse(A),A)
% Rule
% [293]
% inverse(inverse(multiply(inverse(B),B))) <->
% inverse(inverse(multiply(inverse(A),A))) collapsed.
% Rule
% [295] inverse(multiply(inverse(B),B)) <-> inverse(multiply(inverse(A),A))
% collapsed.
% Rule
% [315]
% inverse(inverse(multiply(inverse(C),C))) <->
% inverse(inverse(multiply(inverse(c3),c3))) collapsed.
% Rule
% [318] inverse(multiply(inverse(A),A)) <-> inverse(multiply(inverse(c3),c3))
% collapsed.
% Rule
% [323]
% inverse(multiply(A,multiply(c3,multiply(B,inverse(multiply(inverse(C),C))))))
% <->
% inverse(multiply(A,multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% collapsed.
% Rule
% [345]
% multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))) <->
% multiply(B,multiply(B,inverse(multiply(inverse(c3),c3)))) collapsed.
% Rule
% [359]
% multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3))))) <->
% multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(C),C)))))
% collapsed.
% Rule
% [381] inverse(multiply(inverse(C),C)) <-> inverse(multiply(inverse(c3),c3))
% collapsed.
% Rule
% [384] inverse(multiply(inverse(A),A)) <-> inverse(multiply(inverse(c3),c3))
% collapsed.
% Rule
% [471] inverse(multiply(inverse(A),A)) <-> inverse(multiply(inverse(c3),c3))
% collapsed.
% Rule
% [473] inverse(multiply(inverse(B),B)) <-> inverse(multiply(inverse(c3),c3))
% collapsed.
% Rule
% [475] inverse(multiply(inverse(C),C)) <-> inverse(multiply(inverse(c3),c3))
% collapsed.
% Rule
% [481] inverse(multiply(inverse(B),B)) <-> inverse(multiply(inverse(c3),c3))
% collapsed.
% Current number of equations to process: 4938
% Current number of ordered equations: 0
% Current number of rules: 219
% Rule [482]
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(A),A))))))))
% <-> inverse(multiply(inverse(B),B)) is composed into [482]
% multiply(c3,
% multiply(inverse(
% multiply(c3,
% multiply(c3,c3))),
% multiply(c3,
% multiply(c3,
% inverse(inverse(
% inverse(
% multiply(
% inverse(A),A))))))))
% <->
% multiply(inverse(B),B)
% Rule [477]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),inverse(
% multiply(
% inverse(C),C))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),inverse(
% multiply(
% inverse(c3),c3)))) is composed into 
% [477]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),inverse(multiply(
% inverse(C),C))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),multiply(inverse(c3),c3)))
% Rule [469]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(
% multiply(
% inverse(A),A))),B))
% <->
% multiply(inverse(inverse(multiply(inverse(c3),c3))),multiply(inverse(
% multiply(
% inverse(A),A)),B)) is composed into 
% [469]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),B))
% <->
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(inverse(A),A)),B))
% Rule [467]
% multiply(inverse(multiply(A,multiply(A,multiply(inverse(B),B)))),
% multiply(A,multiply(A,inverse(multiply(inverse(C),C))))) ->
% inverse(inverse(multiply(inverse(c3),c3))) is composed into [467]
% multiply(
% inverse(
% multiply(A,
% multiply(A,
% multiply(
% inverse(B),B)))),
% multiply(A,
% multiply(A,
% inverse(
% multiply(
% inverse(C),C)))))
% ->
% multiply(
% inverse(c3),c3)
% Rule [453]
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(multiply(
% inverse(A),A)))))),
% multiply(c3,B)) <->
% multiply(inverse(multiply(inverse(c3),c3)),multiply(inverse(multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3)))),B)) is composed into 
% [453]
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(multiply(inverse(A),A)))))),
% multiply(c3,B)) <->
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(c3,multiply(
% inverse(c3),c3))),B))
% Rule [434]
% multiply(c3,multiply(inverse(multiply(V_3,multiply(A,c3))),multiply(V_3,C)))
% <->
% multiply(multiply(A,inverse(multiply(inverse(B),B))),multiply(c3,
% multiply(inverse(
% multiply(A,
% multiply(A,c3))),C))) is composed into 
% [434]
% multiply(c3,multiply(inverse(multiply(V_3,multiply(A,c3))),multiply(V_3,C)))
% <->
% multiply(multiply(A,multiply(inverse(B),B)),multiply(c3,multiply(inverse(
% multiply(A,
% multiply(A,c3))),C)))
% Rule [430]
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(multiply(
% inverse(V_3),V_3)),
% multiply(inverse(inverse(
% multiply(
% inverse(V_3),V_3))),C)))
% <->
% multiply(inverse(multiply(c3,multiply(A,inverse(multiply(inverse(B),B))))),
% multiply(c3,multiply(A,C))) is composed into [430]
% multiply(inverse(multiply(
% inverse(V_3),V_3)),
% multiply(inverse(multiply(
% inverse(V_3),V_3)),
% multiply(inverse(inverse(
% multiply(
% inverse(V_3),V_3))),C)))
% <->
% multiply(inverse(multiply(c3,
% multiply(A,
% multiply(
% inverse(B),B)))),
% multiply(c3,multiply(A,C)))
% Rule [428]
% multiply(inverse(multiply(c3,multiply(A,inverse(multiply(inverse(V_3),V_3))))),
% multiply(c3,C)) <->
% multiply(inverse(multiply(A,multiply(A,inverse(multiply(inverse(B),B))))),
% multiply(A,C)) is composed into [428]
% multiply(inverse(multiply(c3,multiply(A,
% inverse(
% multiply(
% inverse(V_3),V_3))))),
% multiply(c3,C)) <->
% multiply(inverse(multiply(A,multiply(A,
% multiply(
% inverse(B),B)))),
% multiply(A,C))
% Rule [398]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,C)) <->
% multiply(inverse(multiply(inverse(c3),c3)),multiply(inverse(inverse(
% multiply(
% inverse(c3),c3))),C)) is composed into 
% [398]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,C)) <->
% multiply(multiply(inverse(c3),c3),multiply(multiply(inverse(c3),c3),C))
% Rule [352]
% multiply(inverse(multiply(c3,multiply(A,inverse(inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))),
% multiply(c3,C)) <->
% multiply(inverse(multiply(A,multiply(A,inverse(multiply(inverse(B),B))))),
% multiply(A,C)) is composed into [352]
% multiply(inverse(multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))),
% multiply(c3,C)) <->
% multiply(inverse(multiply(A,multiply(A,
% multiply(
% inverse(B),B)))),
% multiply(A,C))
% Rule [330]
% inverse(multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),
% multiply(A,inverse(multiply(inverse(C),C)))))) <->
% multiply(A,inverse(inverse(multiply(inverse(B),B)))) is composed into 
% [330]
% inverse(multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,
% inverse(
% multiply(
% inverse(C),C))))))
% <-> multiply(A,multiply(inverse(B),B))
% Rule [329]
% inverse(multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),
% multiply(c3,inverse(multiply(inverse(C),C)))))) <->
% multiply(A,inverse(inverse(multiply(inverse(B),B)))) is composed into 
% [329]
% inverse(multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,
% inverse(
% multiply(
% inverse(C),C))))))
% <-> multiply(A,multiply(inverse(B),B))
% Rule [326]
% multiply(C,inverse(multiply(inverse(A),multiply(B,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(c3,inverse(multiply(inverse(A),multiply(B,multiply(c3,inverse(
% multiply(
% inverse(c3),c3))))))) is composed into 
% [326]
% multiply(C,inverse(multiply(inverse(A),multiply(B,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(c3,inverse(multiply(inverse(A),multiply(B,multiply(c3,multiply(
% inverse(c3),c3))))))
% Rule [300]
% multiply(inverse(multiply(A,multiply(A,inverse(inverse(multiply(
% inverse(V_3),V_3)))))),
% multiply(A,C)) <->
% multiply(inverse(multiply(c3,multiply(A,inverse(inverse(multiply(
% inverse(B),B)))))),
% multiply(c3,C)) is composed into [300]
% multiply(inverse(multiply(A,multiply(A,
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))),
% multiply(A,C)) <->
% multiply(inverse(multiply(c3,multiply(A,
% multiply(
% inverse(B),B)))),
% multiply(c3,C))
% Rule [269]
% inverse(multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),
% multiply(A,inverse(inverse(multiply(inverse(C),C)))))))
% <-> multiply(A,inverse(inverse(multiply(inverse(B),B)))) is composed into 
% [269]
% inverse(multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <-> multiply(A,multiply(inverse(B),B))
% Rule [212]
% multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(C),C))))))
% <-> multiply(A,multiply(A,inverse(multiply(inverse(B),B)))) is composed into 
% [212]
% multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(C),C)))))) <->
% multiply(A,multiply(A,multiply(inverse(B),B)))
% Rule [188]
% multiply(inverse(multiply(c3,multiply(A,inverse(multiply(inverse(V_3),V_3))))),
% multiply(c3,C)) <->
% multiply(inverse(multiply(A,multiply(A,inverse(inverse(multiply(
% inverse(B),B)))))),
% multiply(A,C)) is composed into [188]
% multiply(inverse(multiply(c3,multiply(A,
% inverse(
% multiply(
% inverse(V_3),V_3))))),
% multiply(c3,C)) <->
% multiply(inverse(multiply(A,multiply(A,
% multiply(
% inverse(B),B)))),
% multiply(A,C))
% New rule produced :
% [487] inverse(multiply(inverse(A),A)) <-> multiply(inverse(B),B)
% Rule
% [69]
% multiply(inverse(multiply(A,inverse(inverse(multiply(inverse(B),B))))),
% multiply(A,C)) ->
% multiply(inverse(inverse(multiply(inverse(B),B))),multiply(inverse(inverse(
% multiply(
% inverse(B),B))),C))
% collapsed.
% Rule
% [102]
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(multiply(inverse(V_3),V_3))))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(C),C)))))
% collapsed.
% Rule
% [104]
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(multiply(inverse(V_3),V_3))))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(C),C)))))
% collapsed.
% Rule
% [114]
% multiply(A,multiply(B,multiply(B,inverse(inverse(multiply(inverse(V_3),V_3))))))
% <-> multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(C),C)))))
% collapsed.
% Rule
% [120]
% multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(multiply(inverse(V_3),V_3))))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(C),C)))))
% collapsed.
% Rule
% [142]
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(inverse(multiply(
% inverse(C),C)))))))
% <->
% inverse(multiply(inverse(A),multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% collapsed.
% Rule
% [162]
% multiply(inverse(multiply(A,multiply(A,inverse(inverse(multiply(inverse(B),B)))))),
% multiply(A,multiply(A,inverse(multiply(inverse(C),C))))) ->
% inverse(multiply(inverse(B),B)) collapsed.
% Rule
% [173]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% multiply(
% inverse(C),C))))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% collapsed.
% Rule
% [189]
% multiply(inverse(multiply(A,multiply(A,inverse(inverse(multiply(inverse(B),B)))))),
% multiply(A,C)) <->
% multiply(inverse(multiply(c3,multiply(A,inverse(multiply(inverse(V_3),V_3))))),
% multiply(c3,C)) collapsed.
% Rule
% [273]
% multiply(inverse(multiply(A,multiply(A,inverse(multiply(inverse(B),B))))),
% multiply(A,multiply(A,inverse(multiply(inverse(C),C))))) ->
% inverse(inverse(multiply(inverse(B),B))) collapsed.
% Rule
% [276]
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(inverse(
% multiply(
% inverse(A),A))),B))
% ->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),B))
% collapsed.
% Rule
% [279]
% multiply(inverse(multiply(inverse(B),B)),multiply(inverse(inverse(multiply(
% inverse(B),B))),
% inverse(multiply(inverse(C),
% inverse(multiply(inverse(B),B))))))
% -> C collapsed.
% Rule
% [284]
% multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(C),C)))))) <->
% multiply(A,multiply(A,inverse(inverse(multiply(inverse(B),B))))) collapsed.
% Rule
% [286]
% multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(C),C)))))) <->
% multiply(A,multiply(A,inverse(inverse(multiply(inverse(B),B))))) collapsed.
% Rule
% [289]
% inverse(inverse(inverse(multiply(inverse(A),A)))) <->
% inverse(inverse(multiply(inverse(B),B))) collapsed.
% Rule
% [296]
% inverse(multiply(inverse(B),B)) <-> inverse(inverse(multiply(inverse(A),A)))
% collapsed.
% Rule
% [299]
% multiply(inverse(multiply(c3,multiply(A,inverse(inverse(multiply(inverse(B),B)))))),
% multiply(c3,C)) <->
% multiply(inverse(multiply(A,multiply(A,inverse(inverse(multiply(inverse(V_3),V_3)))))),
% multiply(A,C)) collapsed.
% Rule
% [302]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(inverse(multiply(
% inverse(B),B))))
% -> inverse(inverse(multiply(inverse(B),B))) collapsed.
% Rule
% [308]
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),inverse(inverse(
% multiply(
% inverse(B),B))))
% -> inverse(inverse(multiply(inverse(A),A))) collapsed.
% Rule
% [316]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(B),B)))
% <-> inverse(inverse(multiply(inverse(C),C))) collapsed.
% Rule
% [327]
% multiply(c3,inverse(multiply(inverse(A),multiply(B,multiply(c3,inverse(
% multiply(
% inverse(c3),c3)))))))
% <->
% multiply(C,inverse(multiply(inverse(A),multiply(B,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% collapsed.
% Rule
% [333]
% multiply(inverse(multiply(c3,multiply(A,inverse(inverse(multiply(inverse(B),B)))))),
% multiply(c3,multiply(A,inverse(multiply(inverse(C),C))))) ->
% inverse(multiply(inverse(B),B)) collapsed.
% Rule
% [341]
% multiply(inverse(inverse(multiply(inverse(c3),c3))),inverse(multiply(
% inverse(multiply(A,B)),
% multiply(A,
% inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B collapsed.
% Rule
% [349]
% inverse(multiply(inverse(B),B)) <->
% inverse(inverse(inverse(multiply(inverse(A),A)))) collapsed.
% Rule
% [350]
% multiply(A,multiply(c3,inverse(multiply(inverse(B),multiply(A,multiply(c3,
% inverse(
% inverse(
% multiply(
% inverse(c3),c3)))))))))
% -> B collapsed.
% Rule
% [353]
% multiply(inverse(multiply(A,multiply(A,inverse(multiply(inverse(B),B))))),
% multiply(A,C)) <->
% multiply(inverse(multiply(c3,multiply(A,inverse(inverse(inverse(multiply(
% inverse(V_3),V_3))))))),
% multiply(c3,C)) collapsed.
% Rule
% [361]
% multiply(A,multiply(A,inverse(multiply(inverse(B),B)))) <->
% multiply(A,multiply(A,inverse(inverse(multiply(inverse(C),C))))) collapsed.
% Rule
% [371]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(B),B))),A)),
% inverse(multiply(inverse(c3),c3))) ->
% multiply(inverse(multiply(c3,A)),multiply(c3,inverse(multiply(inverse(B),B))))
% collapsed.
% Rule
% [374]
% multiply(inverse(multiply(inverse(A),A)),inverse(inverse(multiply(inverse(B),B))))
% -> inverse(inverse(inverse(multiply(inverse(A),A)))) collapsed.
% Rule
% [379]
% multiply(c3,multiply(inverse(multiply(inverse(A),A)),inverse(multiply(
% inverse(B),
% multiply(c3,
% inverse(
% inverse(
% multiply(
% inverse(c3),c3))))))))
% -> B collapsed.
% Rule
% [380]
% multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,inverse(inverse(
% multiply(
% inverse(c3),c3)))))))
% -> C collapsed.
% Rule
% [382]
% multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,multiply(A,
% inverse(
% inverse(
% multiply(
% inverse(B),B)))))))
% <-> inverse(multiply(inverse(C),C)) collapsed.
% Rule
% [383]
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,
% multiply(A,
% inverse(inverse(
% multiply(
% inverse(B),B)))))))
% -> inverse(inverse(multiply(inverse(c3),c3))) collapsed.
% Rule
% [385]
% multiply(c3,multiply(inverse(inverse(multiply(inverse(c3),c3))),multiply(
% inverse(c3),
% multiply(
% inverse(c3),c3))))
% <-> inverse(multiply(inverse(A),A)) collapsed.
% Rule
% [396]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(c3),c3))),A)),
% multiply(inverse(inverse(multiply(inverse(B),B))),C)) <->
% multiply(inverse(multiply(V_3,A)),multiply(V_3,C)) collapsed.
% Rule
% [397]
% multiply(inverse(multiply(inverse(c3),c3)),multiply(inverse(inverse(multiply(
% inverse(c3),c3))),C))
% <-> multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,C))
% collapsed.
% Rule
% [410]
% multiply(c3,multiply(inverse(inverse(multiply(inverse(A),A))),inverse(
% multiply(
% inverse(B),
% multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3)))))))
% -> B collapsed.
% Rule
% [413]
% multiply(c3,multiply(inverse(inverse(multiply(inverse(c3),c3))),inverse(
% multiply(
% inverse(A),
% multiply(c3,
% inverse(
% multiply(
% inverse(B),B)))))))
% -> A collapsed.
% Rule
% [429]
% multiply(inverse(multiply(A,multiply(A,inverse(multiply(inverse(B),B))))),
% multiply(A,C)) <->
% multiply(inverse(multiply(c3,multiply(A,inverse(multiply(inverse(V_3),V_3))))),
% multiply(c3,C)) collapsed.
% Rule
% [431]
% multiply(inverse(multiply(c3,multiply(A,inverse(multiply(inverse(B),B))))),
% multiply(c3,multiply(A,C))) <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(multiply(
% inverse(V_3),V_3)),
% multiply(inverse(inverse(
% multiply(
% inverse(V_3),V_3))),C)))
% collapsed.
% Rule
% [435]
% multiply(multiply(A,inverse(multiply(inverse(B),B))),multiply(c3,multiply(
% inverse(
% multiply(A,
% multiply(A,c3))),C)))
% <->
% multiply(c3,multiply(inverse(multiply(V_3,multiply(A,c3))),multiply(V_3,C)))
% collapsed.
% Rule
% [449]
% multiply(inverse(A),multiply(c3,multiply(B,multiply(B,inverse(multiply(
% inverse(C),C))))))
% <->
% multiply(inverse(A),multiply(c3,multiply(B,multiply(B,multiply(inverse(V_3),V_3)))))
% collapsed.
% Rule
% [454]
% multiply(inverse(multiply(inverse(c3),c3)),multiply(inverse(multiply(c3,
% inverse(multiply(
% inverse(c3),c3)))),B))
% <->
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(multiply(inverse(A),A)))))),
% multiply(c3,B)) collapsed.
% Rule
% [468]
% multiply(inverse(multiply(A,multiply(A,inverse(multiply(inverse(B),B))))),
% multiply(A,multiply(A,multiply(inverse(C),C)))) ->
% inverse(inverse(multiply(inverse(B),B))) collapsed.
% Rule
% [470]
% multiply(inverse(inverse(multiply(inverse(c3),c3))),multiply(inverse(
% multiply(
% inverse(A),A)),B))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),B))
% collapsed.
% Rule
% [478]
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),inverse(multiply(
% inverse(c3),c3))))
% <->
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),inverse(multiply(
% inverse(C),C))))
% collapsed.
% Rule
% [479]
% multiply(C,multiply(inverse(multiply(c3,multiply(A,C))),inverse(multiply(
% inverse(c3),c3))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),inverse(multiply(
% inverse(B),B))))
% collapsed.
% Rule
% [480]
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),inverse(multiply(
% inverse(B),B))))
% <->
% multiply(C,multiply(inverse(multiply(c3,multiply(A,C))),inverse(multiply(
% inverse(c3),c3))))
% collapsed.
% Rule
% [483]
% multiply(inverse(multiply(inverse(c3),c3)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(multiply(inverse(B),
% inverse(multiply(inverse(c3),c3))))))
% -> B collapsed.
% Rule
% [484]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(c3),c3))),
% inverse(multiply(inverse(B),
% inverse(multiply(inverse(c3),c3))))))
% -> B collapsed.
% Rule
% [485]
% multiply(inverse(multiply(inverse(c3),c3)),multiply(inverse(inverse(multiply(
% inverse(c3),c3))),
% inverse(multiply(inverse(A),
% inverse(multiply(inverse(B),B))))))
% -> A collapsed.
% Current number of equations to process: 4985
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [488] inverse(inverse(multiply(inverse(A),A))) <-> multiply(inverse(B),B)
% Rule
% [313]
% multiply(inverse(inverse(inverse(multiply(inverse(C),C)))),multiply(inverse(
% inverse(
% multiply(
% inverse(A),A))),B))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),B))
% collapsed.
% Rule
% [331]
% multiply(A,multiply(c3,multiply(B,inverse(inverse(inverse(multiply(inverse(C),C)))))))
% <-> multiply(A,multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% collapsed.
% Current number of equations to process: 4984
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced :
% [489] multiply(inverse(B),B) <-> inverse(inverse(multiply(inverse(A),A)))
% Rule
% [309]
% multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3))))) <->
% multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(multiply(inverse(C),C)))))))
% collapsed.
% Current number of equations to process: 4984
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [490]
% inverse(inverse(inverse(multiply(inverse(A),A)))) <-> multiply(inverse(B),B)
% Rule
% [212]
% multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(C),C)))))) <->
% multiply(A,multiply(A,multiply(inverse(B),B))) collapsed.
% Rule
% [373]
% inverse(inverse(inverse(inverse(multiply(inverse(A),A))))) ->
% inverse(multiply(inverse(A),A)) collapsed.
% Current number of equations to process: 4983
% Current number of ordered equations: 1
% Current number of rules: 167
% New rule produced :
% [491]
% multiply(inverse(B),B) <-> inverse(inverse(inverse(multiply(inverse(A),A))))
% Current number of equations to process: 4983
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [492]
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(B),B)) ->
% multiply(inverse(B),B)
% Current number of equations to process: 4982
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [493]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),B)) ->
% inverse(inverse(inverse(multiply(inverse(A),A))))
% Current number of equations to process: 4981
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [494]
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),multiply(inverse(B),B))
% -> inverse(inverse(multiply(inverse(A),A)))
% Current number of equations to process: 4978
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [495]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,C)) ->
% multiply(multiply(inverse(B),B),multiply(multiply(inverse(B),B),C))
% Rule
% [398]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,C)) <->
% multiply(multiply(inverse(c3),c3),multiply(multiply(inverse(c3),c3),C))
% collapsed.
% Current number of equations to process: 4977
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [496]
% multiply(A,multiply(c3,inverse(multiply(inverse(B),multiply(A,multiply(c3,
% multiply(
% inverse(c3),c3)))))))
% -> B
% Current number of equations to process: 4976
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [497]
% inverse(multiply(inverse(A),A)) <->
% multiply(c3,multiply(multiply(inverse(c3),c3),multiply(inverse(c3),multiply(
% inverse(c3),c3))))
% Current number of equations to process: 4975
% Current number of ordered equations: 1
% Current number of rules: 173
% Rule [497]
% inverse(multiply(inverse(A),A)) <->
% multiply(c3,multiply(multiply(inverse(c3),c3),multiply(inverse(c3),
% multiply(inverse(c3),c3)))) is composed into 
% [497] inverse(multiply(inverse(A),A)) <-> inverse(multiply(inverse(c3),c3))
% New rule produced :
% [498]
% multiply(c3,multiply(multiply(inverse(c3),c3),multiply(inverse(c3),multiply(
% inverse(c3),c3))))
% <-> inverse(multiply(inverse(A),A))
% Current number of equations to process: 4975
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [499]
% multiply(inverse(multiply(multiply(inverse(B),B),A)),multiply(inverse(c3),c3))
% -> multiply(inverse(multiply(c3,A)),multiply(c3,multiply(inverse(B),B)))
% Current number of equations to process: 4973
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [500]
% multiply(c3,multiply(multiply(inverse(c3),c3),inverse(multiply(inverse(A),
% multiply(c3,multiply(
% inverse(B),B))))))
% -> A
% Current number of equations to process: 4972
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [501]
% multiply(inverse(multiply(multiply(inverse(c3),c3),A)),multiply(multiply(
% inverse(B),B),C))
% <-> multiply(inverse(multiply(V_3,A)),multiply(V_3,C))
% Current number of equations to process: 4971
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [502]
% multiply(multiply(inverse(B),B),multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(B),B)))))
% -> C
% Current number of equations to process: 4970
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [503]
% multiply(c3,multiply(inverse(multiply(inverse(A),A)),inverse(multiply(
% inverse(B),
% multiply(c3,
% multiply(
% inverse(c3),c3))))))
% -> B
% Current number of equations to process: 4969
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [504]
% multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,multiply(
% inverse(c3),c3)))))
% -> C
% Current number of equations to process: 4968
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [505]
% multiply(multiply(inverse(c3),c3),multiply(multiply(inverse(c3),c3),inverse(
% multiply(
% inverse(A),
% multiply(
% inverse(B),B)))))
% -> A
% Current number of equations to process: 4967
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [506]
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,
% multiply(A,
% multiply(inverse(B),B)))))
% -> multiply(inverse(c3),c3)
% Current number of equations to process: 4966
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [507]
% multiply(c3,multiply(inverse(inverse(multiply(inverse(A),A))),inverse(
% multiply(
% inverse(B),
% multiply(c3,
% multiply(
% inverse(c3),c3))))))
% -> B
% Current number of equations to process: 4963
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [508]
% multiply(C,multiply(inverse(multiply(c3,multiply(A,C))),multiply(inverse(c3),c3)))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(inverse(B),B)))
% Current number of equations to process: 4962
% Current number of ordered equations: 1
% Current number of rules: 184
% New rule produced :
% [509]
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(inverse(B),B)))
% <->
% multiply(C,multiply(inverse(multiply(c3,multiply(A,C))),multiply(inverse(c3),c3)))
% Current number of equations to process: 4962
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [510]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(c3),c3),
% inverse(multiply(inverse(B),
% multiply(inverse(c3),c3)))))
% -> B
% Current number of equations to process: 4961
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [511]
% multiply(inverse(multiply(A,multiply(A,multiply(inverse(B),B)))),multiply(A,
% multiply(A,
% multiply(
% inverse(C),C))))
% -> multiply(inverse(B),B)
% Current number of equations to process: 4960
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [512]
% multiply(multiply(inverse(c3),c3),inverse(multiply(inverse(multiply(A,B)),
% multiply(A,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B
% Current number of equations to process: 4958
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [513]
% multiply(multiply(inverse(c3),c3),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(multiply(inverse(B),multiply(
% inverse(c3),c3)))))
% -> B
% Current number of equations to process: 4955
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [514]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(
% multiply(B,C)),
% multiply(B,
% inverse(multiply(
% inverse(V_3),V_3))))))
% -> C
% Rule
% [99]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(
% multiply(B,C)),
% multiply(B,
% inverse(multiply(
% inverse(A),A))))))
% -> C collapsed.
% Current number of equations to process: 4953
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [515]
% multiply(c3,multiply(inverse(inverse(multiply(inverse(A),A))),inverse(
% multiply(
% inverse(B),
% multiply(c3,
% inverse(
% multiply(
% inverse(C),C)))))))
% -> B
% Rule
% [255]
% multiply(c3,multiply(inverse(inverse(multiply(inverse(A),A))),inverse(
% multiply(
% inverse(B),
% multiply(c3,
% inverse(
% multiply(
% inverse(A),A)))))))
% -> B collapsed.
% Current number of equations to process: 4951
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [516]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(B),
% multiply(
% inverse(B),B))))))
% -> C
% Current number of equations to process: 4949
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [517]
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),multiply(c3,
% multiply(A,
% inverse(
% multiply(
% inverse(C),C)))))
% -> multiply(inverse(B),B)
% Current number of equations to process: 4948
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [518]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),B)),
% inverse(multiply(inverse(C),C))) ->
% multiply(inverse(multiply(c3,B)),multiply(c3,inverse(multiply(inverse(C),C))))
% Rule
% [30]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),B)),
% inverse(multiply(inverse(A),A))) ->
% multiply(inverse(multiply(c3,B)),multiply(c3,inverse(multiply(inverse(A),A))))
% collapsed.
% Current number of equations to process: 4946
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [519]
% multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(A),A))))))))
% -> C
% Current number of equations to process: 4941
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [520]
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),inverse(multiply(
% inverse(
% multiply(B,C)),
% multiply(B,
% inverse(
% multiply(
% inverse(V_3),V_3))))))
% -> C
% Current number of equations to process: 4940
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [521]
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(B),
% inverse(multiply(inverse(C),
% multiply(inverse(B),
% multiply(inverse(B),B))))))
% -> C
% Current number of equations to process: 4939
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [522]
% multiply(multiply(inverse(c3),c3),inverse(multiply(inverse(multiply(A,B)),
% multiply(A,inverse(inverse(
% multiply(
% inverse(C),C)))))))
% -> B
% Current number of equations to process: 4942
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [523]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),B)),
% multiply(inverse(inverse(multiply(inverse(C),C))),V_3)) <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,V_3))
% Rule
% [17]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(V_3),V_3))),B)),
% multiply(inverse(inverse(multiply(inverse(V_3),V_3))),C)) <->
% multiply(inverse(multiply(A,B)),multiply(A,C)) collapsed.
% Current number of equations to process: 4941
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [524]
% multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),B)),
% inverse(multiply(inverse(C),C))) ->
% multiply(inverse(multiply(c3,B)),multiply(c3,inverse(multiply(inverse(C),C))))
% Current number of equations to process: 4937
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [525]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(
% multiply(B,C)),
% multiply(B,
% multiply(inverse(c3),c3)))))
% -> C
% Current number of equations to process: 4941
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [526]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),
% inverse(multiply(inverse(A),A))))))
% -> C
% Current number of equations to process: 4938
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [527]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,inverse(inverse(multiply(
% inverse(V_3),V_3)))))))
% -> C
% Rule
% [522]
% multiply(multiply(inverse(c3),c3),inverse(multiply(inverse(multiply(A,B)),
% multiply(A,inverse(inverse(
% multiply(
% inverse(C),C)))))))
% -> B collapsed.
% Current number of equations to process: 4947
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [528]
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(C),C)))),multiply(c3,B))
% <->
% multiply(inverse(multiply(A,multiply(A,multiply(inverse(c3),c3)))),multiply(A,B))
% Current number of equations to process: 4995
% Current number of ordered equations: 1
% Current number of rules: 199
% New rule produced :
% [529]
% multiply(inverse(multiply(A,multiply(A,multiply(inverse(c3),c3)))),multiply(A,B))
% <->
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(C),C)))),multiply(c3,B))
% Current number of equations to process: 4995
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [530]
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),multiply(c3,
% multiply(A,C)))
% <->
% multiply(inverse(multiply(c3,multiply(c3,multiply(inverse(V_3),V_3)))),
% multiply(c3,multiply(c3,C)))
% Current number of equations to process: 4996
% Current number of ordered equations: 1
% Current number of rules: 201
% New rule produced :
% [531]
% multiply(inverse(multiply(c3,multiply(c3,multiply(inverse(V_3),V_3)))),
% multiply(c3,multiply(c3,C))) <->
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),multiply(c3,
% multiply(A,C)))
% Current number of equations to process: 4996
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [532]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% Current number of equations to process: 4994
% Current number of ordered equations: 1
% Current number of rules: 203
% New rule produced :
% [533]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% Current number of equations to process: 4994
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [534]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),inverse(
% multiply(
% inverse(
% multiply(c3,C)),
% multiply(c3,
% multiply(
% inverse(B),B))))))
% -> multiply(inverse(B),C)
% Current number of equations to process: 4993
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [535]
% multiply(inverse(A),A) <->
% multiply(inverse(multiply(c3,multiply(B,multiply(inverse(C),C)))),multiply(c3,
% multiply(B,
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))
% Current number of equations to process: 2647
% Current number of ordered equations: 1
% Current number of rules: 206
% Rule [535]
% multiply(inverse(A),A) <->
% multiply(inverse(multiply(c3,multiply(B,multiply(inverse(C),C)))),
% multiply(c3,multiply(B,inverse(inverse(multiply(inverse(V_3),V_3)))))) is composed into 
% [535] multiply(inverse(A),A) <-> multiply(inverse(c3),c3)
% New rule produced :
% [536]
% multiply(inverse(multiply(c3,multiply(B,multiply(inverse(C),C)))),multiply(c3,
% multiply(B,
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))
% <-> multiply(inverse(A),A)
% Current number of equations to process: 2647
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [537]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,multiply(inverse(c3),c3))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,inverse(inverse(
% multiply(
% inverse(C),C))))))
% Current number of equations to process: 2651
% Current number of ordered equations: 1
% Current number of rules: 208
% New rule produced :
% [538]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,inverse(inverse(
% multiply(
% inverse(C),C))))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,multiply(inverse(c3),c3))))
% Current number of equations to process: 2651
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [539]
% multiply(V_3,multiply(inverse(multiply(A,multiply(B,V_3))),C)) <->
% multiply(inverse(multiply(c3,multiply(A,multiply(B,multiply(inverse(c3),c3))))),
% multiply(c3,C))
% Current number of equations to process: 2654
% Current number of ordered equations: 1
% Current number of rules: 210
% Rule [539]
% multiply(V_3,multiply(inverse(multiply(A,multiply(B,V_3))),C)) <->
% multiply(inverse(multiply(c3,multiply(A,multiply(B,multiply(inverse(c3),c3))))),
% multiply(c3,C)) is composed into [539]
% multiply(V_3,multiply(inverse(multiply(A,
% multiply(B,V_3))),C))
% <->
% multiply(c3,multiply(inverse(multiply(A,
% multiply(B,c3))),C))
% New rule produced :
% [540]
% multiply(inverse(multiply(c3,multiply(A,multiply(B,multiply(inverse(c3),c3))))),
% multiply(c3,C)) <->
% multiply(V_3,multiply(inverse(multiply(A,multiply(B,V_3))),C))
% Current number of equations to process: 2654
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [541]
% multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,multiply(A,
% multiply(
% inverse(c3),c3))))))
% -> C
% Current number of equations to process: 2663
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [542]
% multiply(inverse(multiply(A,multiply(A,multiply(inverse(C),C)))),multiply(A,B))
% <->
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(c3),c3)))),multiply(c3,B))
% Current number of equations to process: 2668
% Current number of ordered equations: 1
% Current number of rules: 213
% New rule produced :
% [543]
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(c3),c3)))),multiply(c3,B))
% <->
% multiply(inverse(multiply(A,multiply(A,multiply(inverse(C),C)))),multiply(A,B))
% Current number of equations to process: 2668
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [544]
% multiply(inverse(multiply(A,multiply(B,multiply(B,multiply(inverse(c3),c3))))),
% multiply(A,C)) ->
% multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),C))
% Current number of equations to process: 2670
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [545]
% multiply(C,inverse(multiply(inverse(B),multiply(C,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,multiply(
% inverse(c3),c3))))))
% Current number of equations to process: 2672
% Current number of ordered equations: 1
% Current number of rules: 216
% New rule produced :
% [546]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,multiply(
% inverse(c3),c3))))))
% <->
% multiply(C,inverse(multiply(inverse(B),multiply(C,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% Current number of equations to process: 2672
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [547]
% inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(C,multiply(
% inverse(c3),c3)))))
% <->
% multiply(V_3,inverse(multiply(inverse(B),multiply(C,multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% Current number of equations to process: 2673
% Current number of ordered equations: 1
% Current number of rules: 218
% New rule produced :
% [548]
% multiply(V_3,inverse(multiply(inverse(B),multiply(C,multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% <->
% inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(C,multiply(
% inverse(c3),c3)))))
% Current number of equations to process: 2673
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [549]
% inverse(multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(C,inverse(
% multiply(
% inverse(V_4),V_4))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,multiply(
% inverse(c3),c3))))))
% Current number of equations to process: 2675
% Current number of ordered equations: 1
% Current number of rules: 220
% New rule produced :
% [550]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,multiply(
% inverse(c3),c3))))))
% <->
% inverse(multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(C,inverse(
% multiply(
% inverse(V_4),V_4))))))
% Current number of equations to process: 2675
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [551]
% multiply(inverse(multiply(A,multiply(A,multiply(inverse(B),B)))),multiply(A,C))
% <->
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(V_3),V_3)))),
% multiply(c3,C))
% Rule
% [529]
% multiply(inverse(multiply(A,multiply(A,multiply(inverse(c3),c3)))),multiply(A,B))
% <->
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(C),C)))),multiply(c3,B))
% collapsed.
% Rule
% [542]
% multiply(inverse(multiply(A,multiply(A,multiply(inverse(C),C)))),multiply(A,B))
% <->
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(c3),c3)))),multiply(c3,B))
% collapsed.
% Current number of equations to process: 2674
% Current number of ordered equations: 1
% Current number of rules: 220
% New rule produced :
% [552]
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(V_3),V_3)))),
% multiply(c3,C)) <->
% multiply(inverse(multiply(A,multiply(A,multiply(inverse(B),B)))),multiply(A,C))
% Rule
% [528]
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(C),C)))),multiply(c3,B))
% <->
% multiply(inverse(multiply(A,multiply(A,multiply(inverse(c3),c3)))),multiply(A,B))
% collapsed.
% Rule
% [543]
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(c3),c3)))),multiply(c3,B))
% <->
% multiply(inverse(multiply(A,multiply(A,multiply(inverse(C),C)))),multiply(A,B))
% collapsed.
% Current number of equations to process: 2674
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [553]
% multiply(inverse(multiply(A,multiply(c3,multiply(B,multiply(inverse(c3),c3))))),
% multiply(A,C)) ->
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),C))
% Current number of equations to process: 2702
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [554]
% multiply(inverse(A),A) <->
% multiply(inverse(multiply(c3,multiply(B,multiply(inverse(C),C)))),multiply(c3,
% multiply(B,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))
% Current number of equations to process: 2702
% Current number of ordered equations: 1
% Current number of rules: 221
% Rule [554]
% multiply(inverse(A),A) <->
% multiply(inverse(multiply(c3,multiply(B,multiply(inverse(C),C)))),
% multiply(c3,multiply(B,inverse(inverse(inverse(multiply(inverse(V_3),V_3))))))) is composed into 
% [554] multiply(inverse(A),A) <-> multiply(inverse(c3),c3)
% New rule produced :
% [555]
% multiply(inverse(multiply(c3,multiply(B,multiply(inverse(C),C)))),multiply(c3,
% multiply(B,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <-> multiply(inverse(A),A)
% Current number of equations to process: 2702
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [556]
% multiply(multiply(inverse(A),A),multiply(inverse(multiply(B,multiply(B,
% inverse(inverse(
% multiply(
% inverse(C),C)))))),V_3))
% -> multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),V_3))
% Current number of equations to process: 2701
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [557]
% inverse(multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,
% multiply(
% inverse(c3),c3)))))
% <-> multiply(A,multiply(inverse(B),B))
% Current number of equations to process: 2704
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [558]
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),inverse(multiply(
% inverse(
% multiply(B,C)),
% multiply(B,
% multiply(
% inverse(c3),c3)))))
% -> C
% Current number of equations to process: 2715
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [559]
% multiply(inverse(multiply(multiply(inverse(c3),c3),A)),multiply(inverse(B),B))
% -> multiply(inverse(multiply(c3,A)),multiply(c3,multiply(inverse(B),B)))
% Current number of equations to process: 2752
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [560]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),B)),
% multiply(inverse(c3),c3)) ->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(c3),c3)))
% Current number of equations to process: 2758
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [561]
% multiply(inverse(multiply(multiply(inverse(A),A),B)),inverse(inverse(
% multiply(
% inverse(C),C))))
% ->
% multiply(inverse(multiply(c3,B)),multiply(c3,inverse(inverse(multiply(
% inverse(C),C)))))
% Current number of equations to process: 2757
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [562]
% multiply(c3,multiply(multiply(inverse(A),A),inverse(multiply(inverse(B),
% multiply(c3,inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% -> B
% Current number of equations to process: 2784
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [563]
% multiply(A,multiply(inverse(multiply(multiply(inverse(B),B),multiply(c3,A))),C))
% ->
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(c3,multiply(
% inverse(c3),c3))),C))
% Current number of equations to process: 2804
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [564]
% multiply(c3,multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),
% multiply(c3,c3))),B)) ->
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(c3,multiply(
% inverse(c3),c3))),B))
% Current number of equations to process: 2803
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [565]
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(multiply(inverse(c3),c3),
% inverse(multiply(inverse(B),
% multiply(inverse(c3),c3)))))
% -> B
% Current number of equations to process: 2800
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [566]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(multiply(inverse(B),
% inverse(inverse(multiply(
% inverse(A),A)))))))
% -> B
% Current number of equations to process: 2791
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [567]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(multiply(inverse(B),
% inverse(inverse(multiply(
% inverse(C),C)))))))
% -> B
% Rule
% [566]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(multiply(inverse(B),
% inverse(inverse(multiply(
% inverse(A),A)))))))
% -> B collapsed.
% Current number of equations to process: 2790
% Current number of ordered equations: 0
% Current number of rules: 233
% Rule [265]
% multiply(c3,multiply(inverse(multiply(c3,multiply(inverse(inverse(
% inverse(
% multiply(
% inverse(A),A)))),c3))),B))
% ->
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(multiply(
% inverse(A),A)))))),
% multiply(c3,B)) is composed into [265]
% multiply(c3,multiply(inverse(multiply(c3,
% multiply(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(A),A)))),c3))),B))
% ->
% multiply(inverse(multiply(inverse(A),A)),
% multiply(inverse(multiply(c3,inverse(
% multiply(
% inverse(A),A)))),B))
% New rule produced :
% [568]
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(multiply(inverse(A),A)))))),
% multiply(c3,B)) ->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(c3,
% inverse(multiply(
% inverse(A),A)))),B))
% Rule
% [453]
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(multiply(inverse(A),A)))))),
% multiply(c3,B)) <->
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(c3,multiply(
% inverse(c3),c3))),B))
% collapsed.
% Current number of equations to process: 2774
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [569]
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),inverse(multiply(
% inverse(
% multiply(B,C)),
% multiply(B,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% -> C
% Current number of equations to process: 2768
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [570]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),B)),
% inverse(inverse(inverse(inverse(multiply(inverse(C),C)))))) ->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(c3),c3)))
% Current number of equations to process: 2767
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [571]
% multiply(c3,multiply(inverse(inverse(multiply(inverse(A),A))),inverse(
% multiply(
% inverse(B),
% multiply(c3,
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% -> B
% Current number of equations to process: 2766
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [572]
% multiply(inverse(multiply(V_3,B)),multiply(V_3,C)) <->
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),B)),
% multiply(multiply(inverse(c3),c3),C))
% Current number of equations to process: 2769
% Current number of ordered equations: 1
% Current number of rules: 237
% Rule [572]
% multiply(inverse(multiply(V_3,B)),multiply(V_3,C)) <->
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),B)),
% multiply(multiply(inverse(c3),c3),C)) is composed into [572]
% multiply(
% inverse(multiply(V_3,B)),
% multiply(V_3,C))
% <->
% multiply(
% inverse(multiply(c3,B)),
% multiply(c3,C))
% New rule produced :
% [573]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),B)),
% multiply(multiply(inverse(c3),c3),C)) <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,C))
% Current number of equations to process: 2769
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [574]
% multiply(inverse(multiply(multiply(inverse(A),A),B)),multiply(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))),V_3))
% <-> multiply(inverse(multiply(V_4,B)),multiply(V_4,V_3))
% Current number of equations to process: 2768
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [575]
% inverse(multiply(inverse(C),C)) <->
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),multiply(c3,
% multiply(A,
% multiply(
% inverse(c3),c3))))
% Current number of equations to process: 2807
% Current number of ordered equations: 1
% Current number of rules: 240
% Rule [575]
% inverse(multiply(inverse(C),C)) <->
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),
% multiply(c3,multiply(A,multiply(inverse(c3),c3)))) is composed into 
% [575] inverse(multiply(inverse(C),C)) <-> inverse(multiply(inverse(c3),c3))
% New rule produced :
% [576]
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),multiply(c3,
% multiply(A,
% multiply(
% inverse(c3),c3))))
% <-> inverse(multiply(inverse(C),C))
% Current number of equations to process: 2807
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [577]
% inverse(multiply(inverse(V_3),V_3)) <->
% multiply(inverse(multiply(A,multiply(A,multiply(inverse(B),B)))),multiply(A,
% multiply(A,
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))
% Current number of equations to process: 2815
% Current number of ordered equations: 1
% Current number of rules: 242
% Rule [577]
% inverse(multiply(inverse(V_3),V_3)) <->
% multiply(inverse(multiply(A,multiply(A,multiply(inverse(B),B)))),
% multiply(A,multiply(A,inverse(inverse(multiply(inverse(C),C)))))) is composed into 
% [577]
% inverse(multiply(inverse(V_3),V_3)) <-> inverse(multiply(inverse(c3),c3))
% New rule produced :
% [578]
% multiply(inverse(multiply(A,multiply(A,multiply(inverse(B),B)))),multiply(A,
% multiply(A,
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))
% <-> inverse(multiply(inverse(V_3),V_3))
% Current number of equations to process: 2815
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [579]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(inverse(B),B))) <->
% multiply(inverse(multiply(inverse(multiply(inverse(C),C)),A)),inverse(
% multiply(
% inverse(V_3),V_3)))
% Current number of equations to process: 2831
% Current number of ordered equations: 1
% Current number of rules: 244
% Rule [579]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(inverse(B),B)))
% <->
% multiply(inverse(multiply(inverse(multiply(inverse(C),C)),A)),inverse(
% multiply(
% inverse(V_3),V_3))) is composed into 
% [579]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(inverse(B),B))) <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(inverse(c3),c3)))
% New rule produced :
% [580]
% multiply(inverse(multiply(inverse(multiply(inverse(C),C)),A)),inverse(
% multiply(
% inverse(V_3),V_3)))
% <-> multiply(inverse(multiply(c3,A)),multiply(c3,multiply(inverse(B),B)))
% Current number of equations to process: 2831
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [581]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),B))
% <->
% multiply(inverse(inverse(multiply(inverse(C),C))),multiply(inverse(multiply(
% inverse(V_3),V_3)),B))
% Current number of equations to process: 2833
% Current number of ordered equations: 1
% Current number of rules: 246
% New rule produced :
% [582]
% multiply(inverse(inverse(multiply(inverse(C),C))),multiply(inverse(multiply(
% inverse(V_3),V_3)),B))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),B))
% Current number of equations to process: 2833
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [583]
% multiply(A,inverse(multiply(B,multiply(A,multiply(A,inverse(inverse(multiply(
% inverse(C),C))))))))
% <->
% multiply(V_3,inverse(multiply(B,multiply(A,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% Current number of equations to process: 2843
% Current number of ordered equations: 1
% Current number of rules: 248
% New rule produced :
% [584]
% multiply(V_3,inverse(multiply(B,multiply(A,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(B,multiply(A,multiply(A,inverse(inverse(multiply(
% inverse(C),C))))))))
% Current number of equations to process: 2843
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [585]
% multiply(C,inverse(multiply(B,multiply(A,multiply(C,inverse(multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(A,inverse(multiply(B,multiply(A,multiply(A,multiply(inverse(c3),c3))))))
% Current number of equations to process: 2859
% Current number of ordered equations: 1
% Current number of rules: 250
% New rule produced :
% [586]
% multiply(A,inverse(multiply(B,multiply(A,multiply(A,multiply(inverse(c3),c3))))))
% <->
% multiply(C,inverse(multiply(B,multiply(A,multiply(C,inverse(multiply(
% inverse(V_3),V_3)))))))
% Current number of equations to process: 2859
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [587]
% multiply(c3,inverse(multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),
% multiply(c3,multiply(inverse(c3),c3)))))) ->
% multiply(A,multiply(A,multiply(inverse(c3),c3)))
% Current number of equations to process: 2942
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [588]
% multiply(A,inverse(multiply(B,multiply(A,multiply(A,inverse(inverse(inverse(
% multiply(
% inverse(C),C)))))))))
% <->
% multiply(V_3,inverse(multiply(B,multiply(A,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% Current number of equations to process: 2941
% Current number of ordered equations: 1
% Current number of rules: 253
% New rule produced :
% [589]
% multiply(V_3,inverse(multiply(B,multiply(A,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(B,multiply(A,multiply(A,inverse(inverse(inverse(
% multiply(
% inverse(C),C)))))))))
% Current number of equations to process: 2941
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [590]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% <->
% multiply(c3,inverse(multiply(inverse(B),multiply(C,multiply(c3,multiply(
% inverse(c3),c3))))))
% Current number of equations to process: 2940
% Current number of ordered equations: 1
% Current number of rules: 255
% New rule produced :
% [591]
% multiply(c3,inverse(multiply(inverse(B),multiply(C,multiply(c3,multiply(
% inverse(c3),c3))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% Current number of equations to process: 2940
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [592]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,multiply(
% inverse(c3),c3))))))
% <->
% multiply(c3,inverse(multiply(inverse(B),multiply(C,multiply(c3,multiply(
% inverse(c3),c3))))))
% Current number of equations to process: 2947
% Current number of ordered equations: 1
% Current number of rules: 257
% New rule produced :
% [593]
% multiply(c3,inverse(multiply(inverse(B),multiply(C,multiply(c3,multiply(
% inverse(c3),c3))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,multiply(
% inverse(c3),c3))))))
% Current number of equations to process: 2947
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [594]
% multiply(c3,inverse(multiply(c3,multiply(inverse(multiply(A,multiply(B,c3))),
% multiply(c3,multiply(inverse(c3),c3)))))) ->
% multiply(A,multiply(B,multiply(inverse(B),B)))
% Rule
% [587]
% multiply(c3,inverse(multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),
% multiply(c3,multiply(inverse(c3),c3)))))) ->
% multiply(A,multiply(A,multiply(inverse(c3),c3))) collapsed.
% Current number of equations to process: 3008
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [595]
% multiply(A,multiply(B,inverse(multiply(inverse(C),multiply(A,multiply(B,
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))
% -> C
% Rule
% [94]
% multiply(c3,multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% -> B collapsed.
% Current number of equations to process: 3038
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [596]
% multiply(A,multiply(B,inverse(multiply(inverse(C),multiply(A,multiply(B,
% multiply(
% inverse(c3),c3)))))))
% -> C
% Rule
% [496]
% multiply(A,multiply(c3,inverse(multiply(inverse(B),multiply(A,multiply(c3,
% multiply(
% inverse(c3),c3)))))))
% -> B collapsed.
% Current number of equations to process: 3044
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [597]
% multiply(A,multiply(B,inverse(multiply(inverse(C),multiply(A,multiply(B,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))))
% -> C
% Rule
% [105]
% multiply(A,multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% -> B collapsed.
% Rule
% [378]
% multiply(c3,multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% -> B collapsed.
% Current number of equations to process: 3094
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [598]
% multiply(inverse(multiply(A,multiply(B,inverse(C)))),multiply(A,multiply(B,
% multiply(
% inverse(B),B))))
% -> C
% Current number of equations to process: 3117
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [599]
% inverse(multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,
% multiply(
% inverse(c3),c3)))))
% <-> multiply(A,multiply(inverse(B),B))
% Current number of equations to process: 3150
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [600]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(V_4,inverse(multiply(inverse(B),multiply(C,multiply(V_4,inverse(
% multiply(
% inverse(V_5),V_5)))))))
% Rule
% [199]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(C,inverse(multiply(inverse(B),multiply(C,multiply(C,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% collapsed.
% Current number of equations to process: 3152
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [601]
% inverse(multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,
% multiply(
% inverse(B),B)))))
% <-> multiply(A,multiply(inverse(C),C))
% Rule
% [599]
% inverse(multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,
% multiply(
% inverse(c3),c3)))))
% <-> multiply(A,multiply(inverse(B),B)) collapsed.
% Current number of equations to process: 3159
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [602]
% inverse(multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(c3,
% inverse(
% multiply(
% inverse(C),C))))))
% <-> multiply(B,multiply(inverse(V_3),V_3))
% Rule
% [329]
% inverse(multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,
% inverse(
% multiply(
% inverse(C),C))))))
% <-> multiply(A,multiply(inverse(B),B)) collapsed.
% Current number of equations to process: 3169
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [603]
% inverse(multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,
% multiply(
% inverse(B),B)))))
% <-> multiply(A,multiply(inverse(C),C))
% Rule
% [557]
% inverse(multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,
% multiply(
% inverse(c3),c3)))))
% <-> multiply(A,multiply(inverse(B),B)) collapsed.
% Current number of equations to process: 3196
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [604]
% multiply(multiply(A,multiply(inverse(B),B)),multiply(c3,multiply(inverse(
% multiply(c3,
% multiply(A,c3))),C)))
% ->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,C)))
% Current number of equations to process: 3214
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [605]
% multiply(C,inverse(multiply(inverse(B),multiply(A,multiply(C,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,multiply(
% inverse(c3),c3))))))
% Current number of equations to process: 3222
% Current number of ordered equations: 1
% Current number of rules: 261
% New rule produced :
% [606]
% multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,multiply(
% inverse(c3),c3))))))
% <->
% multiply(C,inverse(multiply(inverse(B),multiply(A,multiply(C,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% Current number of equations to process: 3222
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [607]
% inverse(multiply(inverse(V_3),V_3)) <->
% multiply(inverse(multiply(A,multiply(A,multiply(inverse(B),B)))),multiply(A,
% multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% Current number of equations to process: 3220
% Current number of ordered equations: 1
% Current number of rules: 263
% Rule [607]
% inverse(multiply(inverse(V_3),V_3)) <->
% multiply(inverse(multiply(A,multiply(A,multiply(inverse(B),B)))),
% multiply(A,multiply(A,inverse(inverse(inverse(multiply(inverse(C),C))))))) is composed into 
% [607]
% inverse(multiply(inverse(V_3),V_3)) <-> inverse(multiply(inverse(c3),c3))
% New rule produced :
% [608]
% multiply(inverse(multiply(A,multiply(A,multiply(inverse(B),B)))),multiply(A,
% multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <-> inverse(multiply(inverse(V_3),V_3))
% Current number of equations to process: 3220
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [609]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(C),
% multiply(inverse(multiply(c3,B)),
% multiply(c3,inverse(
% multiply(
% inverse(V_3),V_3))))))))
% -> C
% Current number of equations to process: 3216
% Current number of ordered equations: 1
% Current number of rules: 265
% New rule produced :
% [610]
% multiply(inverse(multiply(c3,A)),multiply(c3,inverse(multiply(inverse(B),
% multiply(inverse(
% multiply(C,A)),
% multiply(C,inverse(
% multiply(
% inverse(V_3),V_3))))))))
% -> B
% Current number of equations to process: 3216
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [611]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% <->
% multiply(V_4,inverse(multiply(inverse(B),multiply(C,multiply(V_4,inverse(
% multiply(
% inverse(V_5),V_5)))))))
% Rule
% [335]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% <->
% multiply(C,inverse(multiply(inverse(B),multiply(C,multiply(C,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% collapsed.
% Current number of equations to process: 3215
% Current number of ordered equations: 1
% Current number of rules: 266
% New rule produced :
% [612]
% multiply(V_4,inverse(multiply(inverse(B),multiply(C,multiply(V_4,inverse(
% multiply(
% inverse(V_5),V_5)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% Rule
% [153]
% multiply(V_3,inverse(multiply(inverse(B),multiply(c3,multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% collapsed.
% Rule
% [334]
% multiply(C,inverse(multiply(inverse(B),multiply(C,multiply(C,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% collapsed.
% Current number of equations to process: 3215
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [613]
% inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(C,multiply(
% inverse(c3),c3)))))
% <->
% multiply(V_3,inverse(multiply(inverse(B),multiply(C,multiply(V_3,inverse(
% inverse(
% multiply(
% inverse(V_4),V_4))))))))
% Current number of equations to process: 3225
% Current number of ordered equations: 1
% Current number of rules: 266
% New rule produced :
% [614]
% multiply(V_3,inverse(multiply(inverse(B),multiply(C,multiply(V_3,inverse(
% inverse(
% multiply(
% inverse(V_4),V_4))))))))
% <->
% inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(C,multiply(
% inverse(c3),c3)))))
% Current number of equations to process: 3225
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [615]
% inverse(multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,multiply(c3,
% multiply(
% inverse(B),B)))))
% -> A
% Rule
% [441]
% multiply(A,inverse(multiply(inverse(multiply(c3,multiply(c3,B))),multiply(c3,
% multiply(c3,
% multiply(
% inverse(C),C))))))
% -> multiply(A,B) collapsed.
% Current number of equations to process: 3249
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [616]
% inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3))))))
% <->
% inverse(multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(C,inverse(
% inverse(
% multiply(
% inverse(V_5),V_5)))))))
% Rule
% [348]
% inverse(multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(B,inverse(
% multiply(
% inverse(V_4),V_4))))))
% <->
% inverse(multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% collapsed.
% Current number of equations to process: 3387
% Current number of ordered equations: 1
% Current number of rules: 267
% New rule produced :
% [617]
% inverse(multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(C,inverse(
% inverse(
% multiply(
% inverse(V_5),V_5)))))))
% <->
% inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3))))))
% Rule
% [347]
% inverse(multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <->
% inverse(multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(B,inverse(
% multiply(
% inverse(V_4),V_4))))))
% collapsed.
% Current number of equations to process: 3387
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [618]
% inverse(multiply(inverse(multiply(C,A)),multiply(C,multiply(B,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(c3,inverse(multiply(inverse(A),multiply(B,multiply(c3,multiply(
% inverse(c3),c3))))))
% Current number of equations to process: 3399
% Current number of ordered equations: 1
% Current number of rules: 268
% New rule produced :
% [619]
% multiply(c3,inverse(multiply(inverse(A),multiply(B,multiply(c3,multiply(
% inverse(c3),c3))))))
% <->
% inverse(multiply(inverse(multiply(C,A)),multiply(C,multiply(B,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))
% Current number of equations to process: 3399
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [620]
% inverse(multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(C,inverse(
% inverse(
% multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,multiply(
% inverse(c3),c3))))))
% Rule
% [618]
% inverse(multiply(inverse(multiply(C,A)),multiply(C,multiply(B,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(c3,inverse(multiply(inverse(A),multiply(B,multiply(c3,multiply(
% inverse(c3),c3))))))
% collapsed.
% Current number of equations to process: 3398
% Current number of ordered equations: 1
% Current number of rules: 269
% New rule produced :
% [621]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,multiply(
% inverse(c3),c3))))))
% <->
% inverse(multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(C,inverse(
% inverse(
% multiply(
% inverse(V_4),V_4)))))))
% Rule
% [619]
% multiply(c3,inverse(multiply(inverse(A),multiply(B,multiply(c3,multiply(
% inverse(c3),c3))))))
% <->
% inverse(multiply(inverse(multiply(C,A)),multiply(C,multiply(B,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))
% collapsed.
% Current number of equations to process: 3398
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [622]
% multiply(A,inverse(multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),
% multiply(A,inverse(multiply(inverse(V_4),V_4)))))))
% -> multiply(C,multiply(V_3,multiply(inverse(V_3),V_3)))
% Rule
% [346]
% multiply(A,inverse(multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),
% multiply(A,inverse(multiply(inverse(C),C)))))))
% <-> multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))) collapsed.
% Rule
% [416]
% multiply(A,inverse(multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),
% multiply(A,inverse(multiply(inverse(C),C)))))))
% <-> multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3)))) collapsed.
% Current number of equations to process: 3428
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [623]
% multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,multiply(
% inverse(C),C))))))
% <->
% multiply(c3,inverse(multiply(inverse(B),multiply(c3,multiply(c3,multiply(
% inverse(c3),c3))))))
% Current number of equations to process: 3578
% Current number of ordered equations: 1
% Current number of rules: 269
% New rule produced :
% [624]
% multiply(c3,inverse(multiply(inverse(B),multiply(c3,multiply(c3,multiply(
% inverse(c3),c3))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,multiply(
% inverse(C),C))))))
% Current number of equations to process: 3578
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [625]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,multiply(inverse(c3),c3))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% Current number of equations to process: 3610
% Current number of ordered equations: 1
% Current number of rules: 271
% New rule produced :
% [626]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,multiply(inverse(c3),c3))))
% Current number of equations to process: 3610
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [627]
% multiply(inverse(multiply(c3,multiply(c3,multiply(c3,multiply(inverse(A),A))))),
% multiply(c3,B)) ->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),B))
% Current number of equations to process: 3683
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [628]
% multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))))
% -> C
% Current number of equations to process: 3727
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [629]
% multiply(c3,multiply(inverse(multiply(c3,multiply(multiply(inverse(c3),c3),c3))),A))
% ->
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(c3,multiply(
% inverse(c3),c3))),A))
% Current number of equations to process: 3762
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [630]
% multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),B)),
% multiply(inverse(c3),c3)) ->
% multiply(inverse(multiply(c3,B)),multiply(c3,inverse(inverse(multiply(
% inverse(A),A)))))
% Current number of equations to process: 3789
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [631]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(
% multiply(B,C)),
% multiply(B,
% inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))
% -> C
% Current number of equations to process: 3789
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [632]
% multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))))
% -> C
% Current number of equations to process: 3867
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [633]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(
% multiply(B,C)),
% multiply(B,
% inverse(inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% -> C
% Current number of equations to process: 3899
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [634]
% multiply(V_3,multiply(inverse(multiply(V_4,multiply(A,V_3))),multiply(V_4,C)))
% <->
% multiply(inverse(multiply(c3,multiply(c3,multiply(A,multiply(inverse(B),B))))),
% multiply(c3,multiply(c3,C)))
% Current number of equations to process: 3931
% Current number of ordered equations: 1
% Current number of rules: 280
% Rule [634]
% multiply(V_3,multiply(inverse(multiply(V_4,multiply(A,V_3))),multiply(V_4,C)))
% <->
% multiply(inverse(multiply(c3,multiply(c3,multiply(A,multiply(inverse(B),B))))),
% multiply(c3,multiply(c3,C))) is composed into [634]
% multiply(V_3,multiply(
% inverse(
% multiply(V_4,
% multiply(A,V_3))),
% multiply(V_4,C)))
% <->
% multiply(c3,multiply(
% inverse(
% multiply(c3,
% multiply(A,c3))),
% multiply(c3,C)))
% New rule produced :
% [635]
% multiply(inverse(multiply(c3,multiply(c3,multiply(A,multiply(inverse(B),B))))),
% multiply(c3,multiply(c3,C))) <->
% multiply(V_3,multiply(inverse(multiply(V_4,multiply(A,V_3))),multiply(V_4,C)))
% Current number of equations to process: 3931
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [636]
% multiply(inverse(multiply(c3,multiply(c3,multiply(A,multiply(inverse(B),B))))),
% multiply(c3,C)) ->
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),C))
% Rule
% [627]
% multiply(inverse(multiply(c3,multiply(c3,multiply(c3,multiply(inverse(A),A))))),
% multiply(c3,B)) ->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),B)) collapsed.
% Rule
% [635]
% multiply(inverse(multiply(c3,multiply(c3,multiply(A,multiply(inverse(B),B))))),
% multiply(c3,multiply(c3,C))) <->
% multiply(V_3,multiply(inverse(multiply(V_4,multiply(A,V_3))),multiply(V_4,C)))
% collapsed.
% Current number of equations to process: 3950
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [637]
% multiply(inverse(multiply(A,multiply(c3,multiply(c3,multiply(inverse(B),B))))),
% multiply(A,C)) ->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),C))
% Current number of equations to process: 3963
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [638]
% inverse(multiply(inverse(C),C)) <->
% multiply(A,multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,
% multiply(c3,
% multiply(inverse(B),B)))))
% Current number of equations to process: 4015
% Current number of ordered equations: 1
% Current number of rules: 282
% Rule [638]
% inverse(multiply(inverse(C),C)) <->
% multiply(A,multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,
% multiply(c3,
% multiply(
% inverse(B),B))))) is composed into 
% [638] inverse(multiply(inverse(C),C)) <-> inverse(multiply(inverse(c3),c3))
% New rule produced :
% [639]
% multiply(A,multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,
% multiply(c3,
% multiply(inverse(B),B)))))
% <-> inverse(multiply(inverse(C),C))
% Current number of equations to process: 4015
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [640]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(c3,multiply(B,C))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(V_3,c3))),multiply(c3,
% multiply(V_3,C))))
% Current number of equations to process: 4034
% Current number of ordered equations: 1
% Current number of rules: 284
% New rule produced :
% [641]
% multiply(c3,multiply(inverse(multiply(c3,multiply(V_3,c3))),multiply(c3,
% multiply(V_3,C))))
% <->
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(c3,multiply(B,C))))
% Current number of equations to process: 4034
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [642]
% multiply(A,multiply(inverse(multiply(B,multiply(c3,A))),multiply(B,multiply(c3,
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% -> multiply(inverse(c3),c3)
% Current number of equations to process: 4131
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [643]
% multiply(A,multiply(inverse(multiply(B,multiply(c3,A))),multiply(B,multiply(c3,
% inverse(
% multiply(
% inverse(C),C))))))
% -> multiply(inverse(c3),c3)
% Current number of equations to process: 4135
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [644]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(c3,multiply(B,C))))
% <->
% multiply(V_3,multiply(inverse(multiply(V_4,multiply(c3,V_3))),multiply(V_4,
% multiply(c3,C))))
% Rule
% [364]
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,
% multiply(A,B))))
% <->
% multiply(C,multiply(inverse(multiply(V_3,multiply(c3,C))),multiply(V_3,
% multiply(c3,B))))
% collapsed.
% Current number of equations to process: 4180
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [645]
% multiply(c3,multiply(inverse(multiply(A,multiply(B,c3))),multiply(A,C))) <->
% multiply(V_3,multiply(inverse(multiply(V_4,multiply(B,V_3))),multiply(V_4,C)))
% Rule
% [230]
% multiply(c3,multiply(inverse(multiply(A,multiply(B,c3))),multiply(A,C))) <->
% multiply(V_3,multiply(inverse(multiply(c3,multiply(B,V_3))),multiply(c3,C)))
% collapsed.
% Current number of equations to process: 4247
% Current number of ordered equations: 1
% Current number of rules: 287
% New rule produced :
% [646]
% multiply(V_3,multiply(inverse(multiply(V_4,multiply(B,V_3))),multiply(V_4,C)))
% <-> multiply(c3,multiply(inverse(multiply(A,multiply(B,c3))),multiply(A,C)))
% Rule
% [228]
% multiply(C,multiply(inverse(multiply(V_3,multiply(A,C))),multiply(V_3,B)))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,B)))
% collapsed.
% Rule
% [634]
% multiply(V_3,multiply(inverse(multiply(V_4,multiply(A,V_3))),multiply(V_4,C)))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,C)))
% collapsed.
% Current number of equations to process: 4247
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [647]
% inverse(multiply(A,multiply(inverse(multiply(B,multiply(c3,A))),multiply(B,
% inverse(
% multiply(
% inverse(C),C))))))
% <-> multiply(c3,multiply(inverse(V_3),V_3))
% Current number of equations to process: 4324
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [648]
% multiply(A,multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,
% multiply(c3,B))))
% <->
% multiply(C,multiply(inverse(multiply(V_3,multiply(V_4,C))),multiply(V_3,
% multiply(V_4,B))))
% Rule
% [367]
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,A))))
% <->
% multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),multiply(C,multiply(V_3,A))))
% collapsed.
% Current number of equations to process: 4345
% Current number of ordered equations: 1
% Current number of rules: 287
% New rule produced :
% [649]
% multiply(C,multiply(inverse(multiply(V_3,multiply(V_4,C))),multiply(V_3,
% multiply(V_4,B))))
% <->
% multiply(A,multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,
% multiply(c3,B))))
% Rule
% [366]
% multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),multiply(C,multiply(V_3,A))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,A))))
% collapsed.
% Current number of equations to process: 4345
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [650]
% inverse(multiply(A,multiply(inverse(multiply(B,multiply(c3,A))),multiply(B,
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <-> multiply(c3,multiply(inverse(V_3),V_3))
% Current number of equations to process: 4344
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [651]
% inverse(inverse(inverse(multiply(inverse(A),A)))) <->
% multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),multiply(C,multiply(V_3,
% inverse(
% multiply(
% inverse(V_4),V_4))))))
% Current number of equations to process: 4343
% Current number of ordered equations: 1
% Current number of rules: 289
% Rule [651]
% inverse(inverse(inverse(multiply(inverse(A),A)))) <->
% multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),multiply(C,
% multiply(V_3,
% inverse(
% multiply(
% inverse(V_4),V_4)))))) is composed into 
% [651]
% inverse(inverse(inverse(multiply(inverse(A),A)))) <->
% inverse(inverse(inverse(multiply(inverse(c3),c3))))
% New rule produced :
% [652]
% multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),multiply(C,multiply(V_3,
% inverse(
% multiply(
% inverse(V_4),V_4))))))
% <-> inverse(inverse(inverse(multiply(inverse(A),A))))
% Rule
% [275]
% multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),multiply(B,multiply(B,
% inverse(
% multiply(
% inverse(C),C))))))
% <-> inverse(multiply(inverse(A),A)) collapsed.
% Rule
% [386]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(c3,multiply(B,
% inverse(
% multiply(
% inverse(C),C))))))
% -> inverse(multiply(inverse(C),C)) collapsed.
% Rule
% [643]
% multiply(A,multiply(inverse(multiply(B,multiply(c3,A))),multiply(B,multiply(c3,
% inverse(
% multiply(
% inverse(C),C))))))
% -> multiply(inverse(c3),c3) collapsed.
% Current number of equations to process: 4344
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [653]
% inverse(multiply(inverse(A),A)) <->
% multiply(B,multiply(inverse(multiply(C,multiply(c3,B))),multiply(C,multiply(c3,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% Current number of equations to process: 4342
% Current number of ordered equations: 1
% Current number of rules: 288
% Rule [653]
% inverse(multiply(inverse(A),A)) <->
% multiply(B,multiply(inverse(multiply(C,multiply(c3,B))),multiply(C,
% multiply(c3,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))) is composed into 
% [653] inverse(multiply(inverse(A),A)) <-> inverse(multiply(inverse(c3),c3))
% New rule produced :
% [654]
% multiply(B,multiply(inverse(multiply(C,multiply(c3,B))),multiply(C,multiply(c3,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% <-> inverse(multiply(inverse(A),A))
% Rule
% [482]
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(inverse(
% inverse(
% multiply(
% inverse(A),A))))))))
% <-> multiply(inverse(B),B) collapsed.
% Current number of equations to process: 4342
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [655]
% multiply(V_3,multiply(inverse(multiply(V_4,multiply(A,V_3))),multiply(V_4,C)))
% <->
% multiply(multiply(A,multiply(inverse(B),B)),multiply(c3,multiply(inverse(
% multiply(A,
% multiply(A,c3))),C)))
% Rule
% [434]
% multiply(c3,multiply(inverse(multiply(V_3,multiply(A,c3))),multiply(V_3,C)))
% <->
% multiply(multiply(A,multiply(inverse(B),B)),multiply(c3,multiply(inverse(
% multiply(A,
% multiply(A,c3))),C)))
% collapsed.
% Current number of equations to process: 4380
% Current number of ordered equations: 1
% Current number of rules: 288
% New rule produced :
% [656]
% multiply(multiply(A,multiply(inverse(B),B)),multiply(c3,multiply(inverse(
% multiply(A,
% multiply(A,c3))),C)))
% <->
% multiply(V_3,multiply(inverse(multiply(V_4,multiply(A,V_3))),multiply(V_4,C)))
% Current number of equations to process: 4380
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [657]
% multiply(V_5,multiply(inverse(multiply(V_6,multiply(V_3,V_5))),multiply(V_6,V_4)))
% <->
% multiply(multiply(A,multiply(inverse(B),B)),multiply(C,multiply(inverse(
% multiply(V_3,
% multiply(A,C))),V_4)))
% Rule
% [655]
% multiply(V_3,multiply(inverse(multiply(V_4,multiply(A,V_3))),multiply(V_4,C)))
% <->
% multiply(multiply(A,multiply(inverse(B),B)),multiply(c3,multiply(inverse(
% multiply(A,
% multiply(A,c3))),C)))
% collapsed.
% Current number of equations to process: 4379
% Current number of ordered equations: 1
% Current number of rules: 289
% New rule produced :
% [658]
% multiply(multiply(A,multiply(inverse(B),B)),multiply(C,multiply(inverse(
% multiply(V_3,
% multiply(A,C))),V_4)))
% <->
% multiply(V_5,multiply(inverse(multiply(V_6,multiply(V_3,V_5))),multiply(V_6,V_4)))
% Rule
% [604]
% multiply(multiply(A,multiply(inverse(B),B)),multiply(c3,multiply(inverse(
% multiply(c3,
% multiply(A,c3))),C)))
% ->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,C)))
% collapsed.
% Rule
% [656]
% multiply(multiply(A,multiply(inverse(B),B)),multiply(c3,multiply(inverse(
% multiply(A,
% multiply(A,c3))),C)))
% <->
% multiply(V_3,multiply(inverse(multiply(V_4,multiply(A,V_3))),multiply(V_4,C)))
% collapsed.
% Current number of equations to process: 4379
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [659]
% multiply(c3,inverse(multiply(A,multiply(inverse(multiply(B,multiply(C,A))),
% multiply(B,inverse(multiply(inverse(V_3),V_3)))))))
% -> multiply(c3,multiply(C,multiply(inverse(C),C)))
% Current number of equations to process: 4377
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [660]
% multiply(V_4,multiply(inverse(multiply(c3,multiply(inverse(multiply(A,
% multiply(A,c3))),V_4))),V_3))
% <->
% multiply(multiply(A,multiply(inverse(B),B)),multiply(multiply(A,multiply(
% inverse(C),C)),V_3))
% Current number of equations to process: 4541
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [661]
% multiply(c3,multiply(inverse(multiply(V_4,multiply(inverse(multiply(A,
% multiply(A,V_4))),c3))),V_3))
% <->
% multiply(multiply(A,multiply(inverse(B),B)),multiply(multiply(A,multiply(
% inverse(C),C)),V_3))
% Current number of equations to process: 4803
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [662]
% multiply(multiply(A,multiply(inverse(B),B)),multiply(C,V_3)) <->
% multiply(inverse(multiply(c3,multiply(inverse(multiply(A,C)),multiply(
% inverse(c3),c3)))),
% multiply(c3,V_3))
% Current number of equations to process: 1414
% Current number of ordered equations: 1
% Current number of rules: 292
% Rule [662]
% multiply(multiply(A,multiply(inverse(B),B)),multiply(C,V_3)) <->
% multiply(inverse(multiply(c3,multiply(inverse(multiply(A,C)),multiply(
% inverse(c3),c3)))),
% multiply(c3,V_3)) is composed into [662]
% multiply(multiply(A,multiply(
% inverse(B),B)),
% multiply(C,V_3)) <->
% multiply(multiply(A,multiply(
% inverse(c3),c3)),
% multiply(C,V_3))
% New rule produced :
% [663]
% multiply(inverse(multiply(c3,multiply(inverse(multiply(A,C)),multiply(
% inverse(c3),c3)))),
% multiply(c3,V_3)) <->
% multiply(multiply(A,multiply(inverse(B),B)),multiply(C,V_3))
% Current number of equations to process: 1414
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [664]
% multiply(multiply(inverse(c3),c3),multiply(inverse(c3),c3)) ->
% multiply(inverse(c3),c3)
% Current number of equations to process: 1511
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [665]
% multiply(multiply(inverse(c3),c3),inverse(inverse(inverse(multiply(inverse(A),A)))))
% -> multiply(inverse(c3),c3)
% Current number of equations to process: 1515
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [666]
% multiply(multiply(inverse(A),A),multiply(inverse(A),A)) ->
% multiply(inverse(A),A)
% Rule
% [664]
% multiply(multiply(inverse(c3),c3),multiply(inverse(c3),c3)) ->
% multiply(inverse(c3),c3) collapsed.
% Current number of equations to process: 1516
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [667]
% multiply(multiply(inverse(A),A),multiply(inverse(B),B)) ->
% multiply(inverse(A),A)
% Rule
% [666]
% multiply(multiply(inverse(A),A),multiply(inverse(A),A)) ->
% multiply(inverse(A),A) collapsed.
% Current number of equations to process: 1516
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [668]
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(inverse(c3),c3)))
% -> multiply(inverse(multiply(A,B)),multiply(inverse(c3),c3))
% Current number of equations to process: 1534
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [669]
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),multiply(
% inverse(c3),c3))
% ->
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(inverse(c3),c3)))
% Current number of equations to process: 1547
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [670]
% inverse(multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% -> B
% Current number of equations to process: 1564
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [671]
% inverse(multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% -> B
% Current number of equations to process: 1603
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [672]
% multiply(A,inverse(multiply(B,multiply(C,multiply(A,inverse(multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(c3,inverse(multiply(B,multiply(C,multiply(c3,multiply(inverse(c3),c3))))))
% Rule
% [326]
% multiply(C,inverse(multiply(inverse(A),multiply(B,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(c3,inverse(multiply(inverse(A),multiply(B,multiply(c3,multiply(
% inverse(c3),c3))))))
% collapsed.
% Current number of equations to process: 1608
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [673]
% multiply(inverse(multiply(inverse(A),multiply(inverse(A),A))),multiply(
% inverse(
% multiply(B,A)),C))
% <->
% multiply(inverse(multiply(c3,multiply(B,inverse(inverse(multiply(inverse(A),A)))))),
% multiply(c3,C))
% Current number of equations to process: 1617
% Current number of ordered equations: 1
% Current number of rules: 300
% New rule produced :
% [674]
% multiply(inverse(multiply(c3,multiply(B,inverse(inverse(multiply(inverse(A),A)))))),
% multiply(c3,C)) <->
% multiply(inverse(multiply(inverse(A),multiply(inverse(A),A))),multiply(
% inverse(
% multiply(B,A)),C))
% Current number of equations to process: 1617
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [675]
% multiply(A,multiply(inverse(multiply(B,multiply(inverse(inverse(inverse(
% multiply(
% inverse(C),C)))),A))),V_3))
% ->
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(B,multiply(
% inverse(c3),c3))),V_3))
% Rule
% [265]
% multiply(c3,multiply(inverse(multiply(c3,multiply(inverse(inverse(inverse(
% multiply(
% inverse(A),A)))),c3))),B))
% ->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(c3,
% inverse(multiply(
% inverse(A),A)))),B))
% collapsed.
% Current number of equations to process: 1648
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [676]
% multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),inverse(
% multiply(
% inverse(
% multiply(B,C)),
% multiply(B,
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))
% -> C
% Current number of equations to process: 1658
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [677]
% multiply(c3,multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),
% inverse(multiply(inverse(B),multiply(c3,inverse(inverse(inverse(
% multiply(
% inverse(C),C)))))))))
% -> B
% Current number of equations to process: 1657
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [678]
% inverse(multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% <-> multiply(C,inverse(inverse(inverse(multiply(inverse(V_4),V_4)))))
% Current number of equations to process: 1654
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [679]
% multiply(A,multiply(inverse(multiply(B,multiply(multiply(inverse(c3),c3),A))),C))
% ->
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(B,multiply(
% inverse(c3),c3))),C))
% Rule
% [629]
% multiply(c3,multiply(inverse(multiply(c3,multiply(multiply(inverse(c3),c3),c3))),A))
% ->
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(c3,multiply(
% inverse(c3),c3))),A))
% collapsed.
% Current number of equations to process: 1659
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [680]
% multiply(A,multiply(inverse(multiply(c3,multiply(multiply(inverse(B),B),A))),
% multiply(c3,C))) ->
% multiply(multiply(inverse(B),B),multiply(multiply(inverse(B),B),multiply(
% multiply(
% inverse(B),B),C)))
% Current number of equations to process: 1733
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [681]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,multiply(inverse(c3),c3))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,multiply(inverse(C),C))))
% Current number of equations to process: 1832
% Current number of ordered equations: 1
% Current number of rules: 306
% New rule produced :
% [682]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,multiply(inverse(C),C))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,multiply(inverse(c3),c3))))
% Current number of equations to process: 1832
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [683]
% inverse(multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(
% inverse(C),C)))))
% <->
% multiply(V_3,inverse(multiply(inverse(A),multiply(B,multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% Rule
% [436]
% multiply(c3,inverse(multiply(inverse(multiply(c3,A)),multiply(c3,multiply(c3,
% multiply(
% inverse(B),B))))))
% -> A collapsed.
% Rule
% [615]
% inverse(multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,multiply(c3,
% multiply(
% inverse(B),B)))))
% -> A collapsed.
% Current number of equations to process: 1871
% Current number of ordered equations: 1
% Current number of rules: 306
% New rule produced :
% [684]
% multiply(V_3,inverse(multiply(inverse(A),multiply(B,multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% <->
% inverse(multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(
% inverse(C),C)))))
% Current number of equations to process: 1871
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [685]
% multiply(inverse(A),A) <->
% multiply(inverse(multiply(c3,multiply(B,inverse(inverse(multiply(inverse(C),C)))))),
% multiply(c3,multiply(B,multiply(inverse(V_3),V_3))))
% Current number of equations to process: 1934
% Current number of ordered equations: 1
% Current number of rules: 308
% Rule [685]
% multiply(inverse(A),A) <->
% multiply(inverse(multiply(c3,multiply(B,inverse(inverse(multiply(
% inverse(C),C)))))),
% multiply(c3,multiply(B,multiply(inverse(V_3),V_3)))) is composed into 
% [685] multiply(inverse(A),A) <-> multiply(inverse(c3),c3)
% New rule produced :
% [686]
% multiply(inverse(multiply(c3,multiply(B,inverse(inverse(multiply(inverse(C),C)))))),
% multiply(c3,multiply(B,multiply(inverse(V_3),V_3)))) <->
% multiply(inverse(A),A)
% Current number of equations to process: 1934
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [687]
% multiply(V_4,multiply(inverse(multiply(c3,multiply(inverse(multiply(A,
% multiply(c3,c3))),V_4))),V_3))
% <->
% multiply(multiply(A,multiply(inverse(B),B)),multiply(multiply(c3,multiply(
% inverse(C),C)),V_3))
% Current number of equations to process: 2222
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [688]
% inverse(multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(
% inverse(C),C)))))
% <->
% multiply(V_3,inverse(multiply(inverse(A),multiply(B,multiply(V_3,inverse(
% inverse(
% multiply(
% inverse(V_4),V_4))))))))
% Current number of equations to process: 2233
% Current number of ordered equations: 1
% Current number of rules: 311
% New rule produced :
% [689]
% multiply(V_3,inverse(multiply(inverse(A),multiply(B,multiply(V_3,inverse(
% inverse(
% multiply(
% inverse(V_4),V_4))))))))
% <->
% inverse(multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(
% inverse(C),C)))))
% Current number of equations to process: 2233
% Current number of ordered equations: 0
% Current number of rules: 312
% Rule [463]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,
% inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(C,c3))),multiply(c3,
% inverse(
% multiply(
% inverse(V_4),V_4))))) is composed into 
% [463]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,inverse(
% multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(C,c3))),multiply(c3,
% multiply(inverse(V_4),V_4))))
% New rule produced :
% [690]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(c3,inverse(
% multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(c3,multiply(inverse(multiply(B,multiply(C,c3))),multiply(c3,
% multiply(inverse(V_4),V_4))))
% Rule
% [464]
% multiply(c3,multiply(inverse(multiply(c3,multiply(C,c3))),multiply(c3,
% inverse(multiply(
% inverse(V_4),V_4)))))
% <->
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,inverse(
% multiply(
% inverse(V_3),V_3)))))
% collapsed.
% Current number of equations to process: 2268
% Current number of ordered equations: 1
% Current number of rules: 312
% New rule produced :
% [691]
% multiply(c3,multiply(inverse(multiply(B,multiply(C,c3))),multiply(c3,
% multiply(inverse(V_4),V_4))))
% <->
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(c3,inverse(
% multiply(
% inverse(V_3),V_3)))))
% Current number of equations to process: 2267
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [692]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,multiply(inverse(V_3),V_3))))
% Current number of equations to process: 2263
% Current number of ordered equations: 1
% Current number of rules: 314
% New rule produced :
% [693]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,multiply(inverse(V_3),V_3))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% Current number of equations to process: 2263
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [694]
% multiply(A,multiply(inverse(multiply(B,multiply(multiply(C,multiply(inverse(V_3),V_3)),A))),V_4))
% <->
% multiply(c3,multiply(inverse(multiply(B,multiply(multiply(C,multiply(
% inverse(c3),c3)),c3))),V_4))
% Current number of equations to process: 2452
% Current number of ordered equations: 1
% Current number of rules: 316
% New rule produced :
% [695]
% multiply(c3,multiply(inverse(multiply(B,multiply(multiply(C,multiply(
% inverse(c3),c3)),c3))),V_4))
% <->
% multiply(A,multiply(inverse(multiply(B,multiply(multiply(C,multiply(inverse(V_3),V_3)),A))),V_4))
% Current number of equations to process: 2452
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [696]
% multiply(A,inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(A,
% multiply(
% inverse(C),C))))))
% -> B
% Current number of equations to process: 2954
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [697]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,multiply(inverse(V_3),V_3))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% multiply(
% inverse(C),C))))))
% Rule
% [537]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,multiply(inverse(c3),c3))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,inverse(inverse(
% multiply(
% inverse(C),C))))))
% collapsed.
% Current number of equations to process: 2958
% Current number of ordered equations: 1
% Current number of rules: 318
% New rule produced :
% [698]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% multiply(
% inverse(C),C))))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,multiply(inverse(V_3),V_3))))
% Rule
% [538]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,inverse(inverse(
% multiply(
% inverse(C),C))))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,multiply(inverse(c3),c3))))
% collapsed.
% Current number of equations to process: 2958
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [699]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,multiply(inverse(C),C))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(inverse(c3),c3))))
% Current number of equations to process: 2965
% Current number of ordered equations: 1
% Current number of rules: 319
% New rule produced :
% [700]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(inverse(c3),c3))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,multiply(inverse(C),C))))
% Current number of equations to process: 2965
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [701]
% inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(A,multiply(
% inverse(C),C)))))
% <->
% multiply(V_3,inverse(multiply(inverse(B),multiply(A,multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% Rule
% [696]
% multiply(A,inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(A,
% multiply(
% inverse(C),C))))))
% -> B collapsed.
% Current number of equations to process: 2993
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [702]
% inverse(multiply(inverse(A),A)) <->
% multiply(inverse(multiply(B,multiply(B,inverse(multiply(inverse(C),C))))),
% multiply(B,multiply(B,multiply(inverse(V_3),V_3))))
% Current number of equations to process: 2999
% Current number of ordered equations: 1
% Current number of rules: 321
% Rule [702]
% inverse(multiply(inverse(A),A)) <->
% multiply(inverse(multiply(B,multiply(B,inverse(multiply(inverse(C),C))))),
% multiply(B,multiply(B,multiply(inverse(V_3),V_3)))) is composed into 
% [702] inverse(multiply(inverse(A),A)) <-> inverse(multiply(inverse(c3),c3))
% New rule produced :
% [703]
% multiply(inverse(multiply(B,multiply(B,inverse(multiply(inverse(C),C))))),
% multiply(B,multiply(B,multiply(inverse(V_3),V_3)))) <->
% inverse(multiply(inverse(A),A))
% Current number of equations to process: 2999
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [704]
% multiply(inverse(multiply(C,multiply(C,A))),multiply(C,multiply(C,multiply(
% inverse(V_3),V_3))))
% <->
% multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,multiply(c3,
% multiply(inverse(B),B))))
% Current number of equations to process: 3049
% Current number of ordered equations: 1
% Current number of rules: 323
% New rule produced :
% [705]
% multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,multiply(c3,
% multiply(inverse(B),B))))
% <->
% multiply(inverse(multiply(C,multiply(C,A))),multiply(C,multiply(C,multiply(
% inverse(V_3),V_3))))
% Current number of equations to process: 3049
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [706]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,multiply(inverse(V_3),V_3))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% Rule
% [625]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,multiply(inverse(c3),c3))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% collapsed.
% Current number of equations to process: 3048
% Current number of ordered equations: 1
% Current number of rules: 324
% New rule produced :
% [707]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,multiply(inverse(V_3),V_3))))
% Rule
% [626]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,multiply(inverse(c3),c3))))
% collapsed.
% Current number of equations to process: 3048
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [708]
% multiply(inverse(multiply(c3,multiply(A,multiply(A,multiply(inverse(C),C))))),
% multiply(c3,multiply(A,B))) ->
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,B)))
% Current number of equations to process: 3072
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [709]
% multiply(A,inverse(multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,
% multiply(
% inverse(C),C))))))
% -> B
% Current number of equations to process: 3315
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [710]
% multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),multiply(
% inverse(c3),c3))
% -> multiply(inverse(c3),c3)
% Current number of equations to process: 3658
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [711]
% multiply(multiply(inverse(c3),c3),inverse(inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(A),A))))))))
% -> multiply(inverse(c3),c3)
% Current number of equations to process: 3657
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [712]
% multiply(c3,inverse(multiply(c3,multiply(inverse(multiply(A,c3)),multiply(
% inverse(c3),c3)))))
% -> multiply(c3,multiply(A,multiply(inverse(A),A)))
% Current number of equations to process: 3707
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [713]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(c3,multiply(
% inverse(V_3),V_3))))
% <->
% multiply(c3,multiply(inverse(multiply(B,multiply(C,c3))),multiply(c3,
% multiply(inverse(V_4),V_4))))
% Current number of equations to process: 3887
% Current number of ordered equations: 1
% Current number of rules: 330
% New rule produced :
% [714]
% multiply(c3,multiply(inverse(multiply(B,multiply(C,c3))),multiply(c3,
% multiply(inverse(V_4),V_4))))
% <->
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(c3,multiply(
% inverse(V_3),V_3))))
% Current number of equations to process: 3887
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [715]
% multiply(c3,multiply(inverse(multiply(A,multiply(B,c3))),multiply(c3,
% inverse(multiply(
% inverse(C),C)))))
% <->
% multiply(V_3,multiply(inverse(multiply(A,multiply(B,V_3))),multiply(c3,
% multiply(inverse(V_4),V_4))))
% Current number of equations to process: 3882
% Current number of ordered equations: 1
% Current number of rules: 332
% New rule produced :
% [716]
% multiply(V_3,multiply(inverse(multiply(A,multiply(B,V_3))),multiply(c3,
% multiply(inverse(V_4),V_4))))
% <->
% multiply(c3,multiply(inverse(multiply(A,multiply(B,c3))),multiply(c3,
% inverse(multiply(
% inverse(C),C)))))
% Current number of equations to process: 3882
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [717]
% multiply(c3,multiply(multiply(inverse(A),A),inverse(multiply(inverse(B),
% multiply(c3,inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B
% Current number of equations to process: 4065
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [718]
% multiply(c3,multiply(multiply(inverse(A),A),inverse(multiply(inverse(B),
% multiply(c3,multiply(
% inverse(A),A))))))
% -> B
% Current number of equations to process: 4095
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [719]
% multiply(c3,multiply(inverse(multiply(inverse(A),A)),inverse(multiply(
% inverse(B),
% multiply(c3,
% multiply(
% inverse(C),C))))))
% -> B
% Rule
% [503]
% multiply(c3,multiply(inverse(multiply(inverse(A),A)),inverse(multiply(
% inverse(B),
% multiply(c3,
% multiply(
% inverse(c3),c3))))))
% -> B collapsed.
% Current number of equations to process: 4095
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [720]
% multiply(c3,multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),
% inverse(multiply(inverse(B),multiply(c3,multiply(inverse(c3),c3))))))
% -> B
% Current number of equations to process: 4113
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [721]
% multiply(c3,multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),
% inverse(multiply(inverse(B),multiply(c3,multiply(inverse(c3),c3))))))
% -> B
% Current number of equations to process: 4128
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [722]
% multiply(inverse(multiply(c3,multiply(c3,multiply(inverse(c3),c3)))),
% multiply(c3,A)) ->
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(c3,multiply(
% inverse(c3),c3))),A))
% Current number of equations to process: 4148
% Current number of ordered equations: 0
% Current number of rules: 338
% Rule [530]
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),
% multiply(c3,multiply(A,C))) <->
% multiply(inverse(multiply(c3,multiply(c3,multiply(inverse(V_3),V_3)))),
% multiply(c3,multiply(c3,C))) is composed into [530]
% multiply(inverse(multiply(c3,
% multiply(A,
% multiply(
% inverse(B),B)))),
% multiply(c3,multiply(A,C)))
% <->
% multiply(multiply(
% inverse(V_3),V_3),
% multiply(inverse(multiply(c3,
% multiply(
% inverse(V_3),V_3))),
% multiply(c3,C)))
% New rule produced :
% [723]
% multiply(inverse(multiply(c3,multiply(c3,multiply(inverse(A),A)))),multiply(c3,B))
% ->
% multiply(multiply(inverse(A),A),multiply(inverse(multiply(c3,multiply(
% inverse(A),A))),B))
% Rule
% [531]
% multiply(inverse(multiply(c3,multiply(c3,multiply(inverse(V_3),V_3)))),
% multiply(c3,multiply(c3,C))) <->
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),multiply(c3,
% multiply(A,C)))
% collapsed.
% Rule
% [722]
% multiply(inverse(multiply(c3,multiply(c3,multiply(inverse(c3),c3)))),
% multiply(c3,A)) ->
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(c3,multiply(
% inverse(c3),c3))),A))
% collapsed.
% Current number of equations to process: 4152
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [724]
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),multiply(c3,
% multiply(A,C)))
% <->
% multiply(multiply(inverse(V_3),V_3),multiply(multiply(inverse(V_3),V_3),
% multiply(multiply(inverse(V_3),V_3),C)))
% Current number of equations to process: 4167
% Current number of ordered equations: 1
% Current number of rules: 338
% New rule produced :
% [725]
% multiply(multiply(inverse(V_3),V_3),multiply(multiply(inverse(V_3),V_3),
% multiply(multiply(inverse(V_3),V_3),C)))
% <->
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),multiply(c3,
% multiply(A,C)))
% Current number of equations to process: 4167
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [726]
% multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,multiply(
% inverse(B),B))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,
% multiply(inverse(C),C))))
% Current number of equations to process: 4180
% Current number of ordered equations: 1
% Current number of rules: 340
% New rule produced :
% [727]
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,
% multiply(inverse(C),C))))
% <->
% multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,multiply(
% inverse(B),B))))
% Current number of equations to process: 4180
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [728]
% inverse(multiply(inverse(inverse(multiply(inverse(A),A))),multiply(c3,
% multiply(B,
% inverse(multiply(
% inverse(C),C))))))
% <->
% multiply(V_3,inverse(multiply(c3,multiply(B,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% Current number of equations to process: 4190
% Current number of ordered equations: 1
% Current number of rules: 342
% New rule produced :
% [729]
% multiply(V_3,inverse(multiply(c3,multiply(B,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% <->
% inverse(multiply(inverse(inverse(multiply(inverse(A),A))),multiply(c3,
% multiply(B,
% inverse(multiply(
% inverse(C),C))))))
% Current number of equations to process: 4190
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [730]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(B,
% multiply(B,
% inverse(inverse(
% multiply(
% inverse(C),C)))))),V_3))
% -> multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),V_3))
% Current number of equations to process: 4189
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [731]
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(B),
% inverse(multiply(inverse(
% multiply(c3,C)),
% multiply(c3,
% multiply(inverse(B),B))))))
% -> multiply(inverse(B),C)
% Current number of equations to process: 4188
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [732]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),B)),
% multiply(inverse(inverse(inverse(inverse(multiply(inverse(C),C))))),V_3)) <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,V_3))
% Current number of equations to process: 4187
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [733]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))
% <->
% multiply(c3,inverse(multiply(inverse(B),multiply(C,multiply(c3,multiply(
% inverse(c3),c3))))))
% Current number of equations to process: 4186
% Current number of ordered equations: 1
% Current number of rules: 347
% New rule produced :
% [734]
% multiply(c3,inverse(multiply(inverse(B),multiply(C,multiply(c3,multiply(
% inverse(c3),c3))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))
% Current number of equations to process: 4186
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [735]
% multiply(B,inverse(multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),
% multiply(B,inverse(inverse(multiply(inverse(C),C))))))))
% -> multiply(A,multiply(A,multiply(inverse(c3),c3)))
% Current number of equations to process: 4185
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [736]
% multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% <->
% multiply(V_3,inverse(multiply(inverse(B),multiply(A,multiply(V_3,inverse(
% inverse(
% multiply(
% inverse(V_4),V_4))))))))
% Current number of equations to process: 4184
% Current number of ordered equations: 1
% Current number of rules: 350
% New rule produced :
% [737]
% multiply(V_3,inverse(multiply(inverse(B),multiply(A,multiply(V_3,inverse(
% inverse(
% multiply(
% inverse(V_4),V_4))))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% Current number of equations to process: 4184
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [738]
% multiply(A,inverse(multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),
% multiply(A,inverse(inverse(multiply(inverse(V_4),V_4))))))))
% -> multiply(C,multiply(V_3,multiply(inverse(V_3),V_3)))
% Rule
% [735]
% multiply(B,inverse(multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),
% multiply(B,inverse(inverse(multiply(inverse(C),C))))))))
% -> multiply(A,multiply(A,multiply(inverse(c3),c3))) collapsed.
% Current number of equations to process: 4182
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [739]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% Current number of equations to process: 4179
% Current number of ordered equations: 1
% Current number of rules: 352
% New rule produced :
% [740]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% Current number of equations to process: 4179
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [741]
% multiply(inverse(multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))))))),
% multiply(A,V_3)) ->
% multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),V_3))
% Current number of equations to process: 4178
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [742]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,inverse(multiply(
% inverse(V_3),V_3)))))
% Current number of equations to process: 4177
% Current number of ordered equations: 1
% Current number of rules: 355
% New rule produced :
% [743]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% Current number of equations to process: 4177
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [744]
% multiply(inverse(multiply(A,multiply(c3,multiply(B,inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))))))),
% multiply(A,V_3)) ->
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),V_3))
% Current number of equations to process: 4176
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [745]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% <->
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% Current number of equations to process: 4175
% Current number of ordered equations: 1
% Current number of rules: 358
% New rule produced :
% [746]
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% Current number of equations to process: 4175
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced :
% [747]
% multiply(V_4,multiply(inverse(multiply(A,multiply(B,V_4))),V_3)) <->
% multiply(inverse(multiply(c3,multiply(A,multiply(B,inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))))))),
% multiply(c3,V_3))
% Current number of equations to process: 4172
% Current number of ordered equations: 1
% Current number of rules: 360
% Rule [747]
% multiply(V_4,multiply(inverse(multiply(A,multiply(B,V_4))),V_3)) <->
% multiply(inverse(multiply(c3,multiply(A,multiply(B,inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))),
% multiply(c3,V_3)) is composed into [747]
% multiply(V_4,multiply(inverse(
% multiply(A,
% multiply(B,V_4))),V_3))
% <->
% multiply(c3,multiply(inverse(
% multiply(A,
% multiply(B,c3))),V_3))
% New rule produced :
% [748]
% multiply(inverse(multiply(c3,multiply(A,multiply(B,inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))))))),
% multiply(c3,V_3)) <->
% multiply(V_4,multiply(inverse(multiply(A,multiply(B,V_4))),V_3))
% Current number of equations to process: 4172
% Current number of ordered equations: 0
% Current number of rules: 361
% Rule [234]
% multiply(c3,multiply(inverse(multiply(inverse(multiply(C,A)),multiply(C,c3))),B))
% ->
% multiply(inverse(multiply(c3,multiply(inverse(A),multiply(inverse(A),A)))),
% multiply(c3,B)) is composed into [234]
% multiply(c3,multiply(inverse(multiply(
% inverse(
% multiply(C,A)),
% multiply(C,c3))),B))
% ->
% multiply(inverse(inverse(multiply(
% inverse(A),A))),
% multiply(inverse(multiply(inverse(A),
% multiply(inverse(A),A))),B))
% Rule [226]
% multiply(C,multiply(inverse(multiply(inverse(multiply(V_3,A)),multiply(V_3,C))),B))
% ->
% multiply(inverse(multiply(c3,multiply(inverse(A),multiply(inverse(A),A)))),
% multiply(c3,B)) is composed into [226]
% multiply(C,multiply(inverse(multiply(
% inverse(
% multiply(V_3,A)),
% multiply(V_3,C))),B))
% ->
% multiply(inverse(inverse(multiply(
% inverse(A),A))),
% multiply(inverse(multiply(inverse(A),
% multiply(inverse(A),A))),B))
% New rule produced :
% [749]
% multiply(inverse(multiply(c3,multiply(inverse(A),multiply(inverse(A),A)))),
% multiply(c3,B)) ->
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(multiply(
% inverse(A),
% multiply(
% inverse(A),A))),B))
% Current number of equations to process: 4165
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [750]
% multiply(A,multiply(inverse(multiply(B,multiply(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))),A))),V_3))
% ->
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(B,multiply(
% inverse(c3),c3))),V_3))
% Current number of equations to process: 4164
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [751]
% multiply(multiply(A,V_3),multiply(inverse(multiply(inverse(multiply(c3,
% multiply(c3,B))),
% multiply(c3,multiply(c3,V_3)))),C))
% <-> multiply(multiply(A,multiply(inverse(A),A)),multiply(B,C))
% Current number of equations to process: 4159
% Current number of ordered equations: 1
% Current number of rules: 364
% New rule produced :
% [752]
% multiply(multiply(A,multiply(inverse(A),A)),multiply(B,C)) <->
% multiply(multiply(A,V_3),multiply(inverse(multiply(inverse(multiply(c3,
% multiply(c3,B))),
% multiply(c3,multiply(c3,V_3)))),C))
% Current number of equations to process: 4159
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [753]
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(inverse(
% multiply(
% inverse(A),A)))))))),
% multiply(c3,B)) <->
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(c3,multiply(
% inverse(c3),c3))),B))
% Current number of equations to process: 4139
% Current number of ordered equations: 1
% Current number of rules: 366
% New rule produced :
% [754]
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(c3,multiply(
% inverse(c3),c3))),B))
% <->
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(inverse(
% multiply(
% inverse(A),A)))))))),
% multiply(c3,B))
% Current number of equations to process: 4139
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [755]
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(c3,multiply(c3,B))),multiply(c3,multiply(c3,
% multiply(inverse(V_3),V_3))))
% Current number of equations to process: 4217
% Current number of ordered equations: 1
% Current number of rules: 368
% New rule produced :
% [756]
% multiply(inverse(multiply(c3,multiply(c3,B))),multiply(c3,multiply(c3,
% multiply(inverse(V_3),V_3))))
% <->
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,multiply(
% inverse(C),C))))
% Current number of equations to process: 4217
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [757]
% inverse(multiply(A,multiply(inverse(multiply(B,multiply(B,A))),multiply(B,
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <-> multiply(B,multiply(inverse(V_3),V_3))
% Rule
% [269]
% inverse(multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <-> multiply(A,multiply(inverse(B),B)) collapsed.
% Current number of equations to process: 4243
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [758]
% inverse(multiply(A,multiply(inverse(multiply(B,multiply(B,A))),multiply(B,
% inverse(
% multiply(
% inverse(C),C))))))
% <-> multiply(B,multiply(inverse(V_3),V_3))
% Rule
% [330]
% inverse(multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,
% inverse(
% multiply(
% inverse(C),C))))))
% <-> multiply(A,multiply(inverse(B),B)) collapsed.
% Current number of equations to process: 4431
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [759]
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(inverse(multiply(A,C)),
% multiply(inverse(c3),c3))),V_3))
% <-> multiply(multiply(A,multiply(inverse(B),B)),multiply(C,V_3))
% Current number of equations to process: 4498
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [760]
% multiply(A,multiply(inverse(multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),A))),V_4))
% <->
% multiply(V_5,multiply(inverse(multiply(V_6,multiply(inverse(multiply(C,
% multiply(V_3,V_6))),V_5))),V_4))
% Rule
% [246]
% multiply(c3,multiply(inverse(multiply(c3,multiply(inverse(multiply(C,
% multiply(V_3,c3))),c3))),V_4))
% <->
% multiply(A,multiply(inverse(multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),A))),V_4))
% collapsed.
% Rule
% [368]
% multiply(A,multiply(inverse(multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),A))),V_4))
% <->
% multiply(V_5,multiply(inverse(multiply(c3,multiply(inverse(multiply(C,
% multiply(V_3,c3))),V_5))),V_4))
% collapsed.
% Rule
% [369]
% multiply(A,multiply(inverse(multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),A))),V_4))
% <->
% multiply(c3,multiply(inverse(multiply(V_5,multiply(inverse(multiply(C,
% multiply(V_3,V_5))),c3))),V_4))
% collapsed.
% Current number of equations to process: 4562
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [761]
% multiply(V_4,multiply(inverse(multiply(c3,multiply(inverse(multiply(A,
% multiply(C,c3))),V_4))),V_3))
% <->
% multiply(multiply(A,multiply(inverse(B),B)),multiply(multiply(C,multiply(
% inverse(C),C)),V_3))
% Rule
% [660]
% multiply(V_4,multiply(inverse(multiply(c3,multiply(inverse(multiply(A,
% multiply(A,c3))),V_4))),V_3))
% <->
% multiply(multiply(A,multiply(inverse(B),B)),multiply(multiply(A,multiply(
% inverse(C),C)),V_3))
% collapsed.
% Rule
% [687]
% multiply(V_4,multiply(inverse(multiply(c3,multiply(inverse(multiply(A,
% multiply(c3,c3))),V_4))),V_3))
% <->
% multiply(multiply(A,multiply(inverse(B),B)),multiply(multiply(c3,multiply(
% inverse(C),C)),V_3))
% collapsed.
% Current number of equations to process: 4650
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [762]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,inverse(
% multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(V_4,multiply(inverse(multiply(c3,multiply(C,V_4))),multiply(c3,
% inverse(multiply(
% inverse(V_5),V_5)))))
% Current number of equations to process: 4722
% Current number of ordered equations: 1
% Current number of rules: 368
% New rule produced :
% [763]
% multiply(V_4,multiply(inverse(multiply(c3,multiply(C,V_4))),multiply(c3,
% inverse(multiply(
% inverse(V_5),V_5)))))
% <->
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,inverse(
% multiply(
% inverse(V_3),V_3)))))
% Current number of equations to process: 4722
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [764]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(c3,inverse(
% multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(V_4,multiply(inverse(multiply(B,multiply(C,V_4))),multiply(c3,
% inverse(multiply(
% inverse(V_5),V_5)))))
% Rule
% [420]
% multiply(c3,multiply(inverse(multiply(A,multiply(B,c3))),multiply(c3,
% inverse(multiply(
% inverse(C),C)))))
% <->
% multiply(V_3,multiply(inverse(multiply(A,multiply(B,V_3))),multiply(c3,
% inverse(multiply(
% inverse(V_4),V_4)))))
% collapsed.
% Rule
% [421]
% multiply(V_3,multiply(inverse(multiply(A,multiply(B,V_3))),multiply(c3,
% inverse(multiply(
% inverse(V_4),V_4)))))
% <->
% multiply(c3,multiply(inverse(multiply(A,multiply(B,c3))),multiply(c3,
% inverse(multiply(
% inverse(C),C)))))
% collapsed.
% Current number of equations to process: 4721
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [765]
% inverse(multiply(inverse(multiply(A,multiply(A,B))),multiply(A,multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B
% Current number of equations to process: 4963
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [766]
% multiply(multiply(inverse(B),B),inverse(multiply(A,multiply(c3,multiply(
% inverse(B),B)))))
% <->
% multiply(c3,inverse(multiply(A,multiply(c3,multiply(c3,multiply(inverse(c3),c3))))))
% Current number of equations to process: 3254
% Current number of ordered equations: 1
% Current number of rules: 370
% New rule produced :
% [767]
% multiply(c3,inverse(multiply(A,multiply(c3,multiply(c3,multiply(inverse(c3),c3))))))
% <->
% multiply(multiply(inverse(B),B),inverse(multiply(A,multiply(c3,multiply(
% inverse(B),B)))))
% Current number of equations to process: 3254
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [768]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,multiply(inverse(C),C))))))
% <->
% multiply(inverse(inverse(multiply(inverse(V_3),V_3))),inverse(multiply(B,
% multiply(c3,
% inverse(
% multiply(
% inverse(V_3),V_3))))))
% Current number of equations to process: 3292
% Current number of ordered equations: 1
% Current number of rules: 372
% New rule produced :
% [769]
% multiply(inverse(inverse(multiply(inverse(V_3),V_3))),inverse(multiply(B,
% multiply(c3,
% inverse(
% multiply(
% inverse(V_3),V_3))))))
% <->
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,multiply(inverse(C),C))))))
% Current number of equations to process: 3292
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [770]
% multiply(c3,inverse(multiply(A,multiply(c3,multiply(c3,multiply(inverse(B),B))))))
% <->
% multiply(multiply(inverse(c3),c3),inverse(multiply(A,multiply(c3,multiply(
% inverse(c3),c3)))))
% Current number of equations to process: 3320
% Current number of ordered equations: 1
% Current number of rules: 374
% New rule produced :
% [771]
% multiply(multiply(inverse(c3),c3),inverse(multiply(A,multiply(c3,multiply(
% inverse(c3),c3)))))
% <->
% multiply(c3,inverse(multiply(A,multiply(c3,multiply(c3,multiply(inverse(B),B))))))
% Current number of equations to process: 3320
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [772]
% multiply(c3,inverse(multiply(A,multiply(c3,multiply(c3,inverse(multiply(
% inverse(C),C)))))))
% <->
% multiply(multiply(inverse(c3),c3),inverse(multiply(A,multiply(c3,multiply(
% inverse(B),B)))))
% Current number of equations to process: 3319
% Current number of ordered equations: 1
% Current number of rules: 376
% New rule produced :
% [773]
% multiply(multiply(inverse(c3),c3),inverse(multiply(A,multiply(c3,multiply(
% inverse(B),B)))))
% <->
% multiply(c3,inverse(multiply(A,multiply(c3,multiply(c3,inverse(multiply(
% inverse(C),C)))))))
% Current number of equations to process: 3319
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [774]
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(C),C)))))))
% <->
% multiply(multiply(inverse(A),A),inverse(multiply(B,multiply(c3,multiply(
% inverse(A),A)))))
% Current number of equations to process: 3325
% Current number of ordered equations: 1
% Current number of rules: 378
% New rule produced :
% [775]
% multiply(multiply(inverse(A),A),inverse(multiply(B,multiply(c3,multiply(
% inverse(A),A)))))
% <->
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(C),C)))))))
% Current number of equations to process: 3325
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [776]
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(multiply(inverse(A),A),inverse(multiply(B,multiply(c3,inverse(
% multiply(
% inverse(C),C))))))
% Current number of equations to process: 3335
% Current number of ordered equations: 1
% Current number of rules: 380
% New rule produced :
% [777]
% multiply(multiply(inverse(A),A),inverse(multiply(B,multiply(c3,inverse(
% multiply(
% inverse(C),C))))))
% <->
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(V_3),V_3)))))))
% Current number of equations to process: 3335
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [778]
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(C),C)))))))
% <->
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(B,
% multiply(c3,
% multiply(inverse(c3),c3)))))
% Current number of equations to process: 3334
% Current number of ordered equations: 1
% Current number of rules: 382
% New rule produced :
% [779]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(B,
% multiply(c3,
% multiply(inverse(c3),c3)))))
% <->
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(C),C)))))))
% Current number of equations to process: 3334
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [780]
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(B,
% multiply(c3,
% multiply(inverse(C),C)))))
% Rule
% [778]
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(C),C)))))))
% <->
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(B,
% multiply(c3,
% multiply(inverse(c3),c3)))))
% collapsed.
% Current number of equations to process: 3332
% Current number of ordered equations: 1
% Current number of rules: 383
% New rule produced :
% [781]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(B,
% multiply(c3,
% multiply(inverse(C),C)))))
% <->
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(V_3),V_3)))))))
% Rule
% [779]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(B,
% multiply(c3,
% multiply(inverse(c3),c3)))))
% <->
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(C),C)))))))
% collapsed.
% Current number of equations to process: 3332
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [782]
% multiply(inverse(multiply(V_3,B)),multiply(V_3,C)) <->
% multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),B)),
% multiply(multiply(inverse(c3),c3),C))
% Current number of equations to process: 3873
% Current number of ordered equations: 1
% Current number of rules: 384
% Rule [782]
% multiply(inverse(multiply(V_3,B)),multiply(V_3,C)) <->
% multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),B)),
% multiply(multiply(inverse(c3),c3),C)) is composed into [782]
% multiply(
% inverse(multiply(V_3,B)),
% multiply(V_3,C))
% <->
% multiply(
% inverse(multiply(c3,B)),
% multiply(c3,C))
% New rule produced :
% [783]
% multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),B)),
% multiply(multiply(inverse(c3),c3),C)) <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,C))
% Current number of equations to process: 3873
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [784]
% inverse(multiply(multiply(inverse(A),A),multiply(multiply(inverse(A),A),
% inverse(inverse(inverse(multiply(
% inverse(A),A)))))))
% -> multiply(inverse(c3),c3)
% Current number of equations to process: 3875
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [785]
% multiply(inverse(multiply(multiply(inverse(A),A),B)),inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))
% ->
% multiply(inverse(multiply(c3,B)),multiply(c3,inverse(inverse(inverse(
% multiply(
% inverse(C),C))))))
% Current number of equations to process: 3918
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [786]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(c3,inverse(multiply(
% inverse(A),A)))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(c3,inverse(inverse(
% multiply(
% inverse(A),A))))))
% Current number of equations to process: 4099
% Current number of ordered equations: 1
% Current number of rules: 388
% New rule produced :
% [787]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(c3,inverse(inverse(
% multiply(
% inverse(A),A))))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(c3,inverse(multiply(
% inverse(A),A)))))
% Current number of equations to process: 4099
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [788]
% multiply(C,inverse(multiply(B,multiply(c3,multiply(C,inverse(inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))
% <->
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,multiply(inverse(c3),c3))))))
% Current number of equations to process: 4308
% Current number of ordered equations: 1
% Current number of rules: 390
% New rule produced :
% [789]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,multiply(inverse(c3),c3))))))
% <->
% multiply(C,inverse(multiply(B,multiply(c3,multiply(C,inverse(inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))
% Current number of equations to process: 4308
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [790]
% multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,multiply(
% inverse(C),C))))))
% <->
% multiply(V_3,inverse(multiply(inverse(B),multiply(c3,multiply(V_3,multiply(
% inverse(V_4),V_4))))))
% Rule
% [623]
% multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,multiply(
% inverse(C),C))))))
% <->
% multiply(c3,inverse(multiply(inverse(B),multiply(c3,multiply(c3,multiply(
% inverse(c3),c3))))))
% collapsed.
% Rule
% [624]
% multiply(c3,inverse(multiply(inverse(B),multiply(c3,multiply(c3,multiply(
% inverse(c3),c3))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,multiply(
% inverse(C),C))))))
% collapsed.
% Current number of equations to process: 4558
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [791]
% multiply(A,inverse(multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),
% multiply(A,multiply(inverse(C),C)))))) ->
% multiply(B,multiply(B,multiply(inverse(B),B)))
% Current number of equations to process: 4599
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [792]
% multiply(A,inverse(multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),
% multiply(A,multiply(inverse(V_4),V_4)))))) ->
% multiply(C,multiply(V_3,multiply(inverse(V_3),V_3)))
% Rule
% [594]
% multiply(c3,inverse(multiply(c3,multiply(inverse(multiply(A,multiply(B,c3))),
% multiply(c3,multiply(inverse(c3),c3)))))) ->
% multiply(A,multiply(B,multiply(inverse(B),B))) collapsed.
% Rule
% [791]
% multiply(A,inverse(multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),
% multiply(A,multiply(inverse(C),C)))))) ->
% multiply(B,multiply(B,multiply(inverse(B),B))) collapsed.
% Current number of equations to process: 4598
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [793]
% multiply(B,inverse(multiply(A,multiply(c3,multiply(B,inverse(multiply(
% inverse(C),C)))))))
% <->
% multiply(multiply(inverse(c3),c3),inverse(multiply(A,multiply(c3,multiply(
% inverse(c3),c3)))))
% Current number of equations to process: 4606
% Current number of ordered equations: 1
% Current number of rules: 391
% New rule produced :
% [794]
% multiply(multiply(inverse(c3),c3),inverse(multiply(A,multiply(c3,multiply(
% inverse(c3),c3)))))
% <->
% multiply(B,inverse(multiply(A,multiply(c3,multiply(B,inverse(multiply(
% inverse(C),C)))))))
% Current number of equations to process: 4606
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [795]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(inverse(
% multiply(
% inverse(C),C))))))))
% <->
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,multiply(inverse(V_4),V_4))))))
% Current number of equations to process: 4713
% Current number of ordered equations: 1
% Current number of rules: 393
% New rule produced :
% [796]
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,multiply(inverse(V_4),V_4))))))
% <->
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(inverse(
% multiply(
% inverse(C),C))))))))
% Current number of equations to process: 4713
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [797]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,multiply(inverse(c3),c3))))))
% <->
% multiply(C,inverse(multiply(B,multiply(c3,multiply(C,multiply(inverse(V_3),V_3))))))
% Current number of equations to process: 4723
% Current number of ordered equations: 1
% Current number of rules: 395
% New rule produced :
% [798]
% multiply(C,inverse(multiply(B,multiply(c3,multiply(C,multiply(inverse(V_3),V_3))))))
% <->
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,multiply(inverse(c3),c3))))))
% Current number of equations to process: 4723
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [799]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,multiply(inverse(C),C))))))
% <->
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,multiply(inverse(V_4),V_4))))))
% Rule
% [790]
% multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,multiply(
% inverse(C),C))))))
% <->
% multiply(V_3,inverse(multiply(inverse(B),multiply(c3,multiply(V_3,multiply(
% inverse(V_4),V_4))))))
% collapsed.
% Rule
% [797]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,multiply(inverse(c3),c3))))))
% <->
% multiply(C,inverse(multiply(B,multiply(c3,multiply(C,multiply(inverse(V_3),V_3))))))
% collapsed.
% Rule
% [798]
% multiply(C,inverse(multiply(B,multiply(c3,multiply(C,multiply(inverse(V_3),V_3))))))
% <->
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,multiply(inverse(c3),c3))))))
% collapsed.
% Current number of equations to process: 4786
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [800]
% multiply(c3,multiply(inverse(multiply(inverse(A),B)),inverse(multiply(
% inverse(C),
% multiply(c3,
% multiply(
% inverse(
% multiply(c3,B)),
% multiply(c3,A)))))))
% -> C
% Current number of equations to process: 4827
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [801]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% <->
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,multiply(inverse(V_4),V_4))))))
% Rule
% [788]
% multiply(C,inverse(multiply(B,multiply(c3,multiply(C,inverse(inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))
% <->
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,multiply(inverse(c3),c3))))))
% collapsed.
% Current number of equations to process: 4826
% Current number of ordered equations: 1
% Current number of rules: 395
% New rule produced :
% [802]
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,multiply(inverse(V_4),V_4))))))
% <->
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% Rule
% [789]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,multiply(inverse(c3),c3))))))
% <->
% multiply(C,inverse(multiply(B,multiply(c3,multiply(C,inverse(inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))
% collapsed.
% Current number of equations to process: 4826
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [803]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3))))))
% <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(C,multiply(C,
% multiply(inverse(V_5),V_5)))))
% Rule
% [260]
% multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(B,multiply(B,
% inverse(multiply(
% inverse(V_4),V_4))))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(B,multiply(
% inverse(C),C)))))
% collapsed.
% Rule
% [446]
% multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(B,multiply(B,
% inverse(multiply(
% inverse(V_4),V_4))))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(B,multiply(
% inverse(C),C)))))
% collapsed.
% Current number of equations to process: 2228
% Current number of ordered equations: 1
% Current number of rules: 394
% New rule produced :
% [804]
% multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(C,multiply(C,
% multiply(inverse(V_5),V_5)))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3))))))
% Rule
% [445]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(B,multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(B,multiply(B,
% inverse(multiply(
% inverse(V_4),V_4))))))
% collapsed.
% Current number of equations to process: 2237
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [805]
% multiply(multiply(inverse(A),A),multiply(inverse(multiply(c3,multiply(
% inverse(A),A))),B))
% <->
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(multiply(
% inverse(C),C))))))),
% multiply(c3,B))
% Current number of equations to process: 2241
% Current number of ordered equations: 1
% Current number of rules: 395
% New rule produced :
% [806]
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(multiply(
% inverse(C),C))))))),
% multiply(c3,B)) <->
% multiply(multiply(inverse(A),A),multiply(inverse(multiply(c3,multiply(
% inverse(A),A))),B))
% Current number of equations to process: 2241
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [807]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(c3,inverse(multiply(
% inverse(C),
% multiply(c3,
% multiply(c3,
% multiply(
% inverse(c3),c3))))))))
% <-> multiply(inverse(multiply(c3,B)),C)
% Current number of equations to process: 2242
% Current number of ordered equations: 1
% Current number of rules: 397
% New rule produced :
% [808]
% multiply(inverse(multiply(c3,B)),C) <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(c3,inverse(multiply(
% inverse(C),
% multiply(c3,
% multiply(c3,
% multiply(
% inverse(c3),c3))))))))
% Current number of equations to process: 2242
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [809]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(B,inverse(
% multiply(
% inverse(C),C))))))
% <->
% multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(B,multiply(B,
% inverse(multiply(
% inverse(V_4),V_4))))))
% Current number of equations to process: 2239
% Current number of ordered equations: 1
% Current number of rules: 399
% New rule produced :
% [810]
% multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(B,multiply(B,
% inverse(multiply(
% inverse(V_4),V_4))))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(B,inverse(
% multiply(
% inverse(C),C))))))
% Current number of equations to process: 2239
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [811]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(c3,
% multiply(inverse(c3),c3))),B))
% <->
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(multiply(
% inverse(C),C))))))),
% multiply(c3,B))
% Current number of equations to process: 2246
% Current number of ordered equations: 3
% Current number of rules: 401
% New rule produced :
% [812]
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(c3,inverse(
% multiply(
% inverse(A),A)))),B))
% <->
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(multiply(
% inverse(C),C))))))),
% multiply(c3,B))
% Current number of equations to process: 2246
% Current number of ordered equations: 2
% Current number of rules: 402
% New rule produced :
% [813]
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(multiply(
% inverse(C),C))))))),
% multiply(c3,B)) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(c3,
% multiply(inverse(c3),c3))),B))
% Current number of equations to process: 2246
% Current number of ordered equations: 1
% Current number of rules: 403
% New rule produced :
% [814]
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(multiply(
% inverse(C),C))))))),
% multiply(c3,B)) <->
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(c3,inverse(
% multiply(
% inverse(A),A)))),B))
% Current number of equations to process: 2246
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [815]
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(multiply(
% inverse(V_3),V_3))))))),
% multiply(c3,C)) <->
% multiply(multiply(inverse(A),A),multiply(inverse(multiply(c3,multiply(
% inverse(B),B))),C))
% Rule
% [806]
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(multiply(
% inverse(C),C))))))),
% multiply(c3,B)) <->
% multiply(multiply(inverse(A),A),multiply(inverse(multiply(c3,multiply(
% inverse(A),A))),B))
% collapsed.
% Current number of equations to process: 2244
% Current number of ordered equations: 3
% Current number of rules: 404
% New rule produced :
% [816]
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(multiply(
% inverse(V_3),V_3))))))),
% multiply(c3,C)) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(c3,
% multiply(inverse(B),B))),C))
% Rule
% [813]
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(multiply(
% inverse(C),C))))))),
% multiply(c3,B)) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(c3,
% multiply(inverse(c3),c3))),B))
% collapsed.
% Current number of equations to process: 2244
% Current number of ordered equations: 2
% Current number of rules: 404
% New rule produced :
% [817]
% multiply(multiply(inverse(A),A),multiply(inverse(multiply(c3,multiply(
% inverse(B),B))),C))
% <->
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(multiply(
% inverse(V_3),V_3))))))),
% multiply(c3,C))
% Rule
% [805]
% multiply(multiply(inverse(A),A),multiply(inverse(multiply(c3,multiply(
% inverse(A),A))),B))
% <->
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(multiply(
% inverse(C),C))))))),
% multiply(c3,B)) collapsed.
% Current number of equations to process: 2244
% Current number of ordered equations: 1
% Current number of rules: 404
% New rule produced :
% [818]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(c3,
% multiply(inverse(B),B))),C))
% <->
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(multiply(
% inverse(V_3),V_3))))))),
% multiply(c3,C))
% Rule
% [811]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(c3,
% multiply(inverse(c3),c3))),B))
% <->
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(multiply(
% inverse(C),C))))))),
% multiply(c3,B)) collapsed.
% Current number of equations to process: 2244
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [819]
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,
% inverse(multiply(
% inverse(C),C)))))
% <->
% multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,multiply(
% inverse(B),B))))
% Current number of equations to process: 2461
% Current number of ordered equations: 1
% Current number of rules: 405
% New rule produced :
% [820]
% multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,multiply(
% inverse(B),B))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,
% inverse(multiply(
% inverse(C),C)))))
% Current number of equations to process: 2461
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [821]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,multiply(
% inverse(V_3),V_3))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(C,c3))),multiply(c3,
% multiply(inverse(V_4),V_4))))
% Rule
% [726]
% multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,multiply(
% inverse(B),B))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,
% multiply(inverse(C),C))))
% collapsed.
% Current number of equations to process: 2460
% Current number of ordered equations: 1
% Current number of rules: 406
% New rule produced :
% [822]
% multiply(c3,multiply(inverse(multiply(c3,multiply(C,c3))),multiply(c3,
% multiply(inverse(V_4),V_4))))
% <->
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,multiply(
% inverse(V_3),V_3))))
% Rule
% [727]
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,
% multiply(inverse(C),C))))
% <->
% multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,multiply(
% inverse(B),B))))
% collapsed.
% Current number of equations to process: 2460
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [823]
% multiply(inverse(multiply(c3,multiply(B,multiply(C,multiply(inverse(V_4),V_4))))),
% multiply(c3,V_3)) <->
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),V_3))
% Rule
% [540]
% multiply(inverse(multiply(c3,multiply(A,multiply(B,multiply(inverse(c3),c3))))),
% multiply(c3,C)) <->
% multiply(V_3,multiply(inverse(multiply(A,multiply(B,V_3))),C)) collapsed.
% Rule
% [636]
% multiply(inverse(multiply(c3,multiply(c3,multiply(A,multiply(inverse(B),B))))),
% multiply(c3,C)) ->
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),C)) collapsed.
% Rule
% [708]
% multiply(inverse(multiply(c3,multiply(A,multiply(A,multiply(inverse(C),C))))),
% multiply(c3,multiply(A,B))) ->
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,B)))
% collapsed.
% Current number of equations to process: 2487
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [824]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,multiply(C,
% multiply(
% inverse(V_3),V_3)))))
% -> multiply(inverse(c3),c3)
% Rule
% [476]
% multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,multiply(A,
% multiply(
% inverse(B),B)))))
% <-> inverse(multiply(inverse(C),C)) collapsed.
% Rule
% [506]
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,
% multiply(A,
% multiply(inverse(B),B)))))
% -> multiply(inverse(c3),c3) collapsed.
% Rule
% [639]
% multiply(A,multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,
% multiply(c3,
% multiply(inverse(B),B)))))
% <-> inverse(multiply(inverse(C),C)) collapsed.
% Current number of equations to process: 2541
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [825]
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% inverse(multiply(
% inverse(A),A)))))
% <->
% multiply(c3,multiply(inverse(multiply(B,multiply(c3,c3))),multiply(B,
% multiply(inverse(C),C))))
% Current number of equations to process: 2630
% Current number of ordered equations: 1
% Current number of rules: 403
% New rule produced :
% [826]
% multiply(c3,multiply(inverse(multiply(B,multiply(c3,c3))),multiply(B,
% multiply(inverse(C),C))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% inverse(multiply(
% inverse(A),A)))))
% Current number of equations to process: 2630
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [827]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(c3,inverse(
% multiply(
% inverse(C),C)))))
% <->
% multiply(c3,multiply(inverse(multiply(V_3,multiply(B,c3))),multiply(V_3,
% multiply(inverse(V_4),V_4))))
% Rule
% [819]
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,
% inverse(multiply(
% inverse(C),C)))))
% <->
% multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,multiply(
% inverse(B),B))))
% collapsed.
% Rule
% [825]
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% inverse(multiply(
% inverse(A),A)))))
% <->
% multiply(c3,multiply(inverse(multiply(B,multiply(c3,c3))),multiply(B,
% multiply(inverse(C),C))))
% collapsed.
% Current number of equations to process: 2629
% Current number of ordered equations: 1
% Current number of rules: 403
% New rule produced :
% [828]
% multiply(c3,multiply(inverse(multiply(V_3,multiply(B,c3))),multiply(V_3,
% multiply(inverse(V_4),V_4))))
% <->
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(c3,inverse(
% multiply(
% inverse(C),C)))))
% Rule
% [820]
% multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,multiply(
% inverse(B),B))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,
% inverse(multiply(
% inverse(C),C)))))
% collapsed.
% Rule
% [826]
% multiply(c3,multiply(inverse(multiply(B,multiply(c3,c3))),multiply(B,
% multiply(inverse(C),C))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% inverse(multiply(
% inverse(A),A)))))
% collapsed.
% Current number of equations to process: 2629
% Current number of ordered equations: 0
% Current number of rules: 402
% Rule [465]
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,
% inverse(
% multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(c3,multiply(V_3,B))),multiply(c3,multiply(V_3,
% inverse(
% multiply(
% inverse(V_4),V_4))))) is composed into 
% [465]
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,inverse(
% multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(c3,multiply(V_3,B))),multiply(c3,multiply(V_3,
% multiply(inverse(V_4),V_4))))
% New rule produced :
% [829]
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,inverse(
% multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(c3,multiply(V_3,B))),multiply(c3,multiply(V_3,
% multiply(inverse(V_4),V_4))))
% Rule
% [460]
% multiply(inverse(multiply(c3,multiply(c3,B))),multiply(c3,multiply(c3,
% inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,multiply(
% inverse(C),C))))
% collapsed.
% Rule
% [461]
% multiply(inverse(multiply(c3,multiply(C,A))),multiply(c3,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,multiply(c3,
% multiply(inverse(B),B))))
% collapsed.
% Current number of equations to process: 2631
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [830]
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(c3,multiply(V_3,B))),multiply(c3,multiply(V_3,
% multiply(inverse(V_4),V_4))))
% Rule
% [755]
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(c3,multiply(c3,B))),multiply(c3,multiply(c3,
% multiply(inverse(V_3),V_3))))
% collapsed.
% Rule
% [756]
% multiply(inverse(multiply(c3,multiply(c3,B))),multiply(c3,multiply(c3,
% multiply(inverse(V_3),V_3))))
% <->
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,multiply(
% inverse(C),C))))
% collapsed.
% Current number of equations to process: 2655
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [831]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(c3,multiply(
% inverse(C),C))))
% <->
% multiply(c3,multiply(inverse(multiply(V_3,multiply(B,c3))),multiply(V_3,
% inverse(multiply(
% inverse(V_4),V_4)))))
% Current number of equations to process: 2653
% Current number of ordered equations: 1
% Current number of rules: 401
% New rule produced :
% [832]
% multiply(c3,multiply(inverse(multiply(V_3,multiply(B,c3))),multiply(V_3,
% inverse(multiply(
% inverse(V_4),V_4)))))
% <->
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(c3,multiply(
% inverse(C),C))))
% Current number of equations to process: 2653
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [833]
% multiply(inverse(A),A) <->
% multiply(inverse(multiply(c3,multiply(B,inverse(inverse(multiply(inverse(C),C)))))),
% multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% Current number of equations to process: 2686
% Current number of ordered equations: 1
% Current number of rules: 403
% Rule [833]
% multiply(inverse(A),A) <->
% multiply(inverse(multiply(c3,multiply(B,inverse(inverse(multiply(
% inverse(C),C)))))),
% multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))) is composed into 
% [833] multiply(inverse(A),A) <-> multiply(inverse(c3),c3)
% New rule produced :
% [834]
% multiply(inverse(multiply(c3,multiply(B,inverse(inverse(multiply(inverse(C),C)))))),
% multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))) <->
% multiply(inverse(A),A)
% Current number of equations to process: 2686
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [835]
% multiply(inverse(multiply(c3,multiply(c3,multiply(inverse(A),A)))),multiply(
% inverse(A),A))
% ->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),inverse(inverse(
% multiply(
% inverse(A),A)))))
% Current number of equations to process: 2701
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [836]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(c3,multiply(
% inverse(C),C))))
% <->
% multiply(V_3,multiply(inverse(multiply(V_4,multiply(B,V_3))),multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_5)))))
% Rule
% [831]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(c3,multiply(
% inverse(C),C))))
% <->
% multiply(c3,multiply(inverse(multiply(V_3,multiply(B,c3))),multiply(V_3,
% inverse(multiply(
% inverse(V_4),V_4)))))
% collapsed.
% Current number of equations to process: 2716
% Current number of ordered equations: 1
% Current number of rules: 405
% Rule [828]
% multiply(c3,multiply(inverse(multiply(V_3,multiply(B,c3))),multiply(V_3,
% multiply(
% inverse(V_4),V_4))))
% <->
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(c3,
% inverse(
% multiply(
% inverse(C),C))))) is composed into 
% [828]
% multiply(c3,multiply(inverse(multiply(V_3,multiply(B,c3))),multiply(V_3,
% multiply(inverse(V_4),V_4))))
% <->
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(c3,multiply(
% inverse(C),C))))
% New rule produced :
% [837]
% multiply(V_3,multiply(inverse(multiply(V_4,multiply(B,V_3))),multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_5)))))
% <->
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(c3,multiply(
% inverse(C),C))))
% Rule
% [463]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,inverse(
% multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(C,c3))),multiply(c3,
% multiply(inverse(V_4),V_4))))
% collapsed.
% Rule
% [602]
% inverse(multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(c3,
% inverse(
% multiply(
% inverse(C),C))))))
% <-> multiply(B,multiply(inverse(V_3),V_3)) collapsed.
% Rule
% [827]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(c3,inverse(
% multiply(
% inverse(C),C)))))
% <->
% multiply(c3,multiply(inverse(multiply(V_3,multiply(B,c3))),multiply(V_3,
% multiply(inverse(V_4),V_4))))
% collapsed.
% Rule
% [832]
% multiply(c3,multiply(inverse(multiply(V_3,multiply(B,c3))),multiply(V_3,
% inverse(multiply(
% inverse(V_4),V_4)))))
% <->
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(c3,multiply(
% inverse(C),C))))
% collapsed.
% Current number of equations to process: 2718
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [838]
% inverse(multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(c3,
% multiply(
% inverse(C),C)))))
% <-> multiply(B,multiply(inverse(V_3),V_3))
% Rule
% [601]
% inverse(multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,
% multiply(
% inverse(B),B)))))
% <-> multiply(A,multiply(inverse(C),C)) collapsed.
% Current number of equations to process: 2717
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [839]
% multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,multiply(
% inverse(B),B))))
% <->
% multiply(c3,multiply(inverse(multiply(C,multiply(A,c3))),multiply(C,multiply(
% inverse(V_3),V_3))))
% Current number of equations to process: 2746
% Current number of ordered equations: 1
% Current number of rules: 403
% New rule produced :
% [840]
% multiply(c3,multiply(inverse(multiply(C,multiply(A,c3))),multiply(C,multiply(
% inverse(V_3),V_3))))
% <->
% multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,multiply(
% inverse(B),B))))
% Current number of equations to process: 2746
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [841]
% multiply(inverse(multiply(c3,multiply(c3,B))),multiply(c3,multiply(c3,
% inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(A,multiply(A,B))),multiply(A,multiply(A,inverse(
% multiply(
% inverse(C),C)))))
% Current number of equations to process: 2761
% Current number of ordered equations: 1
% Current number of rules: 405
% New rule produced :
% [842]
% multiply(inverse(multiply(A,multiply(A,B))),multiply(A,multiply(A,inverse(
% multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(c3,multiply(c3,B))),multiply(c3,multiply(c3,
% inverse(multiply(
% inverse(V_3),V_3)))))
% Current number of equations to process: 2761
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [843]
% multiply(inverse(A),A) <->
% multiply(inverse(multiply(c3,multiply(B,inverse(inverse(inverse(multiply(
% inverse(C),C))))))),
% multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% Current number of equations to process: 2759
% Current number of ordered equations: 1
% Current number of rules: 407
% Rule [843]
% multiply(inverse(A),A) <->
% multiply(inverse(multiply(c3,multiply(B,inverse(inverse(inverse(
% multiply(
% inverse(C),C))))))),
% multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))) is composed into 
% [843] multiply(inverse(A),A) <-> multiply(inverse(c3),c3)
% New rule produced :
% [844]
% multiply(inverse(multiply(c3,multiply(B,inverse(inverse(inverse(multiply(
% inverse(C),C))))))),
% multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))) <->
% multiply(inverse(A),A)
% Current number of equations to process: 2759
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [845]
% multiply(inverse(multiply(A,multiply(A,B))),multiply(A,multiply(A,inverse(
% multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(c3,multiply(V_3,B))),multiply(c3,multiply(V_3,
% multiply(inverse(V_4),V_4))))
% Rule
% [417]
% multiply(inverse(multiply(C,multiply(C,A))),multiply(C,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,multiply(c3,
% multiply(inverse(B),B))))
% collapsed.
% Current number of equations to process: 2768
% Current number of ordered equations: 1
% Current number of rules: 408
% New rule produced :
% [846]
% multiply(inverse(multiply(c3,multiply(V_3,B))),multiply(c3,multiply(V_3,
% multiply(inverse(V_4),V_4))))
% <->
% multiply(inverse(multiply(A,multiply(A,B))),multiply(A,multiply(A,inverse(
% multiply(
% inverse(C),C)))))
% Rule
% [459]
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(c3,multiply(c3,B))),multiply(c3,multiply(c3,
% inverse(multiply(
% inverse(V_3),V_3)))))
% collapsed.
% Current number of equations to process: 2768
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [847]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,inverse(
% multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(c3,multiply(inverse(multiply(V_4,multiply(C,c3))),multiply(V_4,
% multiply(inverse(V_5),V_5))))
% Current number of equations to process: 2767
% Current number of ordered equations: 1
% Current number of rules: 409
% New rule produced :
% [848]
% multiply(c3,multiply(inverse(multiply(V_4,multiply(C,c3))),multiply(V_4,
% multiply(inverse(V_5),V_5))))
% <->
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,inverse(
% multiply(
% inverse(V_3),V_3)))))
% Current number of equations to process: 2767
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [849]
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),multiply(c3,
% multiply(A,
% multiply(
% inverse(C),C))))
% -> multiply(inverse(c3),c3)
% Rule
% [576]
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),multiply(c3,
% multiply(A,
% multiply(
% inverse(c3),c3))))
% <-> inverse(multiply(inverse(C),C)) collapsed.
% Current number of equations to process: 2794
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [850]
% inverse(multiply(inverse(A),A)) <->
% multiply(inverse(multiply(c3,multiply(B,inverse(multiply(inverse(C),C))))),
% multiply(c3,multiply(B,multiply(inverse(V_3),V_3))))
% Current number of equations to process: 2801
% Current number of ordered equations: 1
% Current number of rules: 411
% Rule [850]
% inverse(multiply(inverse(A),A)) <->
% multiply(inverse(multiply(c3,multiply(B,inverse(multiply(inverse(C),C))))),
% multiply(c3,multiply(B,multiply(inverse(V_3),V_3)))) is composed into 
% [850] inverse(multiply(inverse(A),A)) <-> inverse(multiply(inverse(c3),c3))
% New rule produced :
% [851]
% multiply(inverse(multiply(c3,multiply(B,inverse(multiply(inverse(C),C))))),
% multiply(c3,multiply(B,multiply(inverse(V_3),V_3)))) <->
% inverse(multiply(inverse(A),A))
% Current number of equations to process: 2801
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [852]
% multiply(inverse(multiply(A,multiply(A,B))),multiply(A,multiply(A,multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(c3,multiply(V_3,B))),multiply(c3,multiply(V_3,
% multiply(inverse(V_4),V_4))))
% Rule
% [704]
% multiply(inverse(multiply(C,multiply(C,A))),multiply(C,multiply(C,multiply(
% inverse(V_3),V_3))))
% <->
% multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,multiply(c3,
% multiply(inverse(B),B))))
% collapsed.
% Current number of equations to process: 2833
% Current number of ordered equations: 1
% Current number of rules: 412
% New rule produced :
% [853]
% multiply(inverse(multiply(c3,multiply(V_3,B))),multiply(c3,multiply(V_3,
% multiply(inverse(V_4),V_4))))
% <->
% multiply(inverse(multiply(A,multiply(A,B))),multiply(A,multiply(A,multiply(
% inverse(C),C))))
% Rule
% [705]
% multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,multiply(c3,
% multiply(inverse(B),B))))
% <->
% multiply(inverse(multiply(C,multiply(C,A))),multiply(C,multiply(C,multiply(
% inverse(V_3),V_3))))
% collapsed.
% Current number of equations to process: 2833
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [854]
% inverse(multiply(A,multiply(inverse(multiply(B,A)),multiply(inverse(c3),c3))))
% <-> multiply(B,inverse(inverse(multiply(inverse(C),C))))
% Rule
% [712]
% multiply(c3,inverse(multiply(c3,multiply(inverse(multiply(A,c3)),multiply(
% inverse(c3),c3)))))
% -> multiply(c3,multiply(A,multiply(inverse(A),A))) collapsed.
% Current number of equations to process: 2897
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [855]
% inverse(multiply(c3,multiply(inverse(multiply(A,multiply(B,c3))),multiply(A,
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <-> multiply(B,inverse(inverse(multiply(inverse(V_3),V_3))))
% Current number of equations to process: 2949
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [856]
% inverse(multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <-> multiply(C,inverse(inverse(multiply(inverse(V_4),V_4))))
% Rule
% [466]
% inverse(multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(c3,
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <-> multiply(B,inverse(inverse(multiply(inverse(V_3),V_3)))) collapsed.
% Rule
% [650]
% inverse(multiply(A,multiply(inverse(multiply(B,multiply(c3,A))),multiply(B,
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <-> multiply(c3,multiply(inverse(V_3),V_3)) collapsed.
% Rule
% [757]
% inverse(multiply(A,multiply(inverse(multiply(B,multiply(B,A))),multiply(B,
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <-> multiply(B,multiply(inverse(V_3),V_3)) collapsed.
% Rule
% [855]
% inverse(multiply(c3,multiply(inverse(multiply(A,multiply(B,c3))),multiply(A,
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <-> multiply(B,inverse(inverse(multiply(inverse(V_3),V_3)))) collapsed.
% Current number of equations to process: 3003
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [857]
% multiply(A,inverse(multiply(multiply(inverse(B),B),multiply(multiply(
% inverse(B),B),
% multiply(A,inverse(
% multiply(
% inverse(C),C)))))))
% -> multiply(inverse(c3),c3)
% Current number of equations to process: 3042
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [858]
% multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),multiply(
% multiply(
% inverse(c3),c3),B))
% <-> multiply(multiply(inverse(c3),c3),multiply(multiply(inverse(c3),c3),B))
% Current number of equations to process: 3098
% Current number of ordered equations: 1
% Current number of rules: 412
% New rule produced :
% [859]
% multiply(multiply(inverse(c3),c3),multiply(multiply(inverse(c3),c3),B)) <->
% multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),multiply(
% multiply(
% inverse(c3),c3),B))
% Current number of equations to process: 3098
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [860]
% multiply(multiply(inverse(c3),c3),multiply(inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(A),A)))))),B))
% <-> multiply(multiply(inverse(c3),c3),multiply(multiply(inverse(c3),c3),B))
% Current number of equations to process: 3097
% Current number of ordered equations: 1
% Current number of rules: 414
% New rule produced :
% [861]
% multiply(multiply(inverse(c3),c3),multiply(multiply(inverse(c3),c3),B)) <->
% multiply(multiply(inverse(c3),c3),multiply(inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(A),A)))))),B))
% Current number of equations to process: 3097
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [862]
% multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,multiply(inverse(B),B)))
% -> multiply(inverse(multiply(c3,A)),multiply(inverse(c3),c3))
% Current number of equations to process: 3137
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [863]
% multiply(V_3,multiply(inverse(multiply(c3,multiply(inverse(multiply(A,c3)),V_3))),C))
% <->
% multiply(multiply(A,multiply(inverse(c3),c3)),multiply(multiply(inverse(B),B),C))
% Current number of equations to process: 3167
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced :
% [864]
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(c3,multiply(
% inverse(
% multiply(c3,c3)),B)))
% ->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,B)))
% Current number of equations to process: 3175
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced :
% [865]
% multiply(A,inverse(multiply(multiply(inverse(B),B),multiply(c3,multiply(A,
% multiply(
% inverse(C),C))))))
% -> multiply(inverse(multiply(c3,c3)),multiply(c3,multiply(inverse(c3),c3)))
% Current number of equations to process: 3174
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [866]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),inverse(inverse(
% multiply(
% inverse(C),C)))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),multiply(inverse(c3),c3)))
% Current number of equations to process: 3175
% Current number of ordered equations: 1
% Current number of rules: 420
% New rule produced :
% [867]
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),multiply(inverse(c3),c3)))
% <->
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),inverse(inverse(
% multiply(
% inverse(C),C)))))
% Current number of equations to process: 3175
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [868]
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(multiply(inverse(A),A)))))),
% multiply(inverse(B),B)) ->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(inverse(c3),c3)))
% Current number of equations to process: 3221
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [869]
% multiply(inverse(B),B) <->
% multiply(c3,multiply(inverse(multiply(c3,c3)),multiply(c3,multiply(inverse(A),A))))
% Current number of equations to process: 3404
% Current number of ordered equations: 1
% Current number of rules: 423
% Rule [869]
% multiply(inverse(B),B) <->
% multiply(c3,multiply(inverse(multiply(c3,c3)),multiply(c3,multiply(
% inverse(A),A)))) is composed into 
% [869] multiply(inverse(B),B) <-> multiply(inverse(c3),c3)
% New rule produced :
% [870]
% multiply(c3,multiply(inverse(multiply(c3,c3)),multiply(c3,multiply(inverse(A),A))))
% <-> multiply(inverse(B),B)
% Rule
% [472]
% multiply(c3,multiply(inverse(multiply(c3,c3)),multiply(c3,multiply(inverse(c3),c3))))
% <-> inverse(multiply(inverse(A),A)) collapsed.
% Current number of equations to process: 3405
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced :
% [871]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(C),C)) ->
% multiply(inverse(multiply(c3,B)),multiply(c3,A))
% Rule
% [493]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),B)) ->
% inverse(inverse(inverse(multiply(inverse(A),A)))) collapsed.
% Rule
% [560]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),B)),
% multiply(inverse(c3),c3)) ->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(c3),c3)))
% collapsed.
% Rule
% [630]
% multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),B)),
% multiply(inverse(c3),c3)) ->
% multiply(inverse(multiply(c3,B)),multiply(c3,inverse(inverse(multiply(
% inverse(A),A)))))
% collapsed.
% Current number of equations to process: 3432
% Current number of ordered equations: 2
% Current number of rules: 421
% Rule [754]
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(c3,multiply(
% inverse(c3),c3))),B))
% <->
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(A),A)))))))),
% multiply(c3,B)) is composed into [754]
% multiply(multiply(inverse(c3),c3),
% multiply(inverse(multiply(c3,multiply(
% inverse(c3),c3))),B))
% <->
% multiply(inverse(multiply(inverse(A),A)),
% multiply(inverse(multiply(c3,inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(A),A))))))),B))
% Rule [673]
% multiply(inverse(multiply(inverse(A),multiply(inverse(A),A))),multiply(
% inverse(
% multiply(B,A)),C))
% <->
% multiply(inverse(multiply(c3,multiply(B,inverse(inverse(multiply(
% inverse(A),A)))))),
% multiply(c3,C)) is composed into [673]
% multiply(inverse(multiply(inverse(A),
% multiply(inverse(A),A))),
% multiply(inverse(multiply(B,A)),C)) <->
% multiply(inverse(multiply(inverse(A),A)),
% multiply(inverse(multiply(B,inverse(
% inverse(
% multiply(
% inverse(A),A))))),C))
% Rule [372]
% multiply(inverse(multiply(A,multiply(inverse(multiply(B,multiply(C,A))),V_3))),
% multiply(V_4,V_5)) <->
% multiply(inverse(multiply(c3,multiply(inverse(multiply(B,multiply(C,V_4))),V_3))),
% multiply(c3,V_5)) is composed into [372]
% multiply(inverse(multiply(A,multiply(
% inverse(
% multiply(B,
% multiply(C,A))),V_3))),
% multiply(V_4,V_5)) <->
% multiply(inverse(multiply(inverse(c3),c3)),
% multiply(inverse(multiply(inverse(
% multiply(B,
% multiply(C,V_4))),V_3)),V_5))
% New rule produced :
% [872]
% multiply(inverse(multiply(c3,B)),multiply(c3,C)) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),C))
% Rule
% [238]
% multiply(inverse(multiply(c3,multiply(inverse(multiply(A,multiply(B,V_3))),C))),
% multiply(c3,V_4)) <->
% multiply(inverse(multiply(c3,multiply(inverse(multiply(A,multiply(B,c3))),C))),
% multiply(V_3,V_4)) collapsed.
% Rule
% [415]
% multiply(inverse(multiply(c3,multiply(c3,inverse(multiply(inverse(A),A))))),
% multiply(c3,B)) ->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(c3,
% inverse(multiply(
% inverse(A),A)))),B))
% collapsed.
% Rule
% [568]
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(multiply(inverse(A),A)))))),
% multiply(c3,B)) ->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(c3,
% inverse(multiply(
% inverse(A),A)))),B))
% collapsed.
% Rule
% [663]
% multiply(inverse(multiply(c3,multiply(inverse(multiply(A,C)),multiply(
% inverse(c3),c3)))),
% multiply(c3,V_3)) <->
% multiply(multiply(A,multiply(inverse(B),B)),multiply(C,V_3)) collapsed.
% Rule
% [674]
% multiply(inverse(multiply(c3,multiply(B,inverse(inverse(multiply(inverse(A),A)))))),
% multiply(c3,C)) <->
% multiply(inverse(multiply(inverse(A),multiply(inverse(A),A))),multiply(
% inverse(
% multiply(B,A)),C))
% collapsed.
% Rule
% [680]
% multiply(A,multiply(inverse(multiply(c3,multiply(multiply(inverse(B),B),A))),
% multiply(c3,C))) ->
% multiply(multiply(inverse(B),B),multiply(multiply(inverse(B),B),multiply(
% multiply(
% inverse(B),B),C)))
% collapsed.
% Rule
% [723]
% multiply(inverse(multiply(c3,multiply(c3,multiply(inverse(A),A)))),multiply(c3,B))
% ->
% multiply(multiply(inverse(A),A),multiply(inverse(multiply(c3,multiply(
% inverse(A),A))),B))
% collapsed.
% Rule
% [749]
% multiply(inverse(multiply(c3,multiply(inverse(A),multiply(inverse(A),A)))),
% multiply(c3,B)) ->
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(multiply(
% inverse(A),
% multiply(
% inverse(A),A))),B))
% collapsed.
% Rule
% [753]
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(inverse(
% multiply(
% inverse(A),A)))))))),
% multiply(c3,B)) <->
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(c3,multiply(
% inverse(c3),c3))),B))
% collapsed.
% Current number of equations to process: 3438
% Current number of ordered equations: 1
% Current number of rules: 413
% New rule produced :
% [873]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),C)) <->
% multiply(inverse(multiply(c3,B)),multiply(c3,C))
% Current number of equations to process: 3438
% Current number of ordered equations: 0
% Current number of rules: 414
% Rule [865]
% multiply(A,inverse(multiply(multiply(inverse(B),B),multiply(c3,multiply(A,
% multiply(
% inverse(C),C))))))
% ->
% multiply(inverse(multiply(c3,c3)),multiply(c3,multiply(inverse(c3),c3))) is composed into 
% [865]
% multiply(A,inverse(multiply(multiply(inverse(B),B),multiply(c3,multiply(A,
% multiply(
% inverse(C),C))))))
% -> multiply(inverse(c3),multiply(inverse(c3),c3))
% Rule [837]
% multiply(V_3,multiply(inverse(multiply(V_4,multiply(B,V_3))),multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_5)))))
% <->
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(c3,
% multiply(
% inverse(C),C)))) is composed into 
% [837]
% multiply(V_3,multiply(inverse(multiply(V_4,multiply(B,V_3))),multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_5)))))
% <->
% multiply(A,multiply(inverse(multiply(B,A)),multiply(inverse(multiply(B,A)),
% multiply(B,A))))
% Rule [828]
% multiply(c3,multiply(inverse(multiply(V_3,multiply(B,c3))),multiply(V_3,
% multiply(
% inverse(V_4),V_4))))
% <->
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(c3,
% multiply(
% inverse(C),C)))) is composed into 
% [828]
% multiply(c3,multiply(inverse(multiply(V_3,multiply(B,c3))),multiply(V_3,
% multiply(inverse(V_4),V_4))))
% <->
% multiply(A,multiply(inverse(multiply(B,A)),multiply(inverse(multiply(B,A)),
% multiply(B,A))))
% Rule [821]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,
% multiply(
% inverse(V_3),V_3))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(C,c3))),multiply(c3,
% multiply(
% inverse(V_4),V_4)))) is composed into 
% [821]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,multiply(
% inverse(V_3),V_3))))
% <->
% multiply(c3,multiply(inverse(multiply(C,c3)),multiply(inverse(multiply(C,c3)),
% multiply(C,c3))))
% Rule [580]
% multiply(inverse(multiply(inverse(multiply(inverse(C),C)),A)),inverse(
% multiply(
% inverse(V_3),V_3)))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(inverse(B),B))) is composed into 
% [580]
% multiply(inverse(multiply(inverse(multiply(inverse(C),C)),A)),inverse(
% multiply(
% inverse(V_3),V_3)))
% -> multiply(inverse(A),multiply(inverse(A),A))
% Rule [570]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),B)),
% inverse(inverse(inverse(inverse(multiply(inverse(C),C)))))) ->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(c3),c3))) is composed into 
% [570]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),B)),
% inverse(inverse(inverse(inverse(multiply(inverse(C),C)))))) ->
% multiply(inverse(B),multiply(inverse(B),B))
% Rule [559]
% multiply(inverse(multiply(multiply(inverse(c3),c3),A)),multiply(
% inverse(B),B)) ->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(inverse(B),B))) is composed into 
% [559]
% multiply(inverse(multiply(multiply(inverse(c3),c3),A)),multiply(inverse(B),B))
% -> multiply(inverse(A),multiply(inverse(A),A))
% Rule [499]
% multiply(inverse(multiply(multiply(inverse(B),B),A)),multiply(inverse(c3),c3))
% -> multiply(inverse(multiply(c3,A)),multiply(c3,multiply(inverse(B),B))) is composed into 
% [499]
% multiply(inverse(multiply(multiply(inverse(B),B),A)),multiply(inverse(c3),c3))
% -> multiply(inverse(A),multiply(inverse(A),A))
% New rule produced :
% [874]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(inverse(B),B))) ->
% multiply(inverse(A),multiply(inverse(A),A))
% Rule
% [28]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(multiply(c3,C)),
% multiply(c3,multiply(
% inverse(B),B))))))
% -> multiply(inverse(B),C) collapsed.
% Rule
% [534]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),inverse(
% multiply(
% inverse(
% multiply(c3,C)),
% multiply(c3,
% multiply(
% inverse(B),B))))))
% -> multiply(inverse(B),C) collapsed.
% Rule
% [579]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(inverse(B),B))) <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(inverse(c3),c3)))
% collapsed.
% Rule
% [668]
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(inverse(c3),c3)))
% -> multiply(inverse(multiply(A,B)),multiply(inverse(c3),c3)) collapsed.
% Rule
% [731]
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(B),
% inverse(multiply(inverse(
% multiply(c3,C)),
% multiply(c3,
% multiply(inverse(B),B))))))
% -> multiply(inverse(B),C) collapsed.
% Rule
% [822]
% multiply(c3,multiply(inverse(multiply(c3,multiply(C,c3))),multiply(c3,
% multiply(inverse(V_4),V_4))))
% <->
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,multiply(
% inverse(V_3),V_3))))
% collapsed.
% Rule
% [836]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(c3,multiply(
% inverse(C),C))))
% <->
% multiply(V_3,multiply(inverse(multiply(V_4,multiply(B,V_3))),multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_5)))))
% collapsed.
% Rule
% [838]
% inverse(multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(c3,
% multiply(
% inverse(C),C)))))
% <-> multiply(B,multiply(inverse(V_3),V_3)) collapsed.
% Rule
% [862]
% multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,multiply(inverse(B),B)))
% -> multiply(inverse(multiply(c3,A)),multiply(inverse(c3),c3)) collapsed.
% Rule
% [870]
% multiply(c3,multiply(inverse(multiply(c3,c3)),multiply(c3,multiply(inverse(A),A))))
% <-> multiply(inverse(B),B) collapsed.
% Current number of equations to process: 3483
% Current number of ordered equations: 0
% Current number of rules: 405
% Rule [837]
% multiply(V_3,multiply(inverse(multiply(V_4,multiply(B,V_3))),multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_5)))))
% <->
% multiply(A,multiply(inverse(multiply(B,A)),multiply(inverse(multiply(B,A)),
% multiply(B,A)))) is composed into 
% [837]
% multiply(V_3,multiply(inverse(multiply(V_4,multiply(B,V_3))),multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_5)))))
% <->
% multiply(A,multiply(inverse(multiply(B,A)),multiply(c3,multiply(inverse(c3),
% multiply(inverse(c3),c3)))))
% Rule [828]
% multiply(c3,multiply(inverse(multiply(V_3,multiply(B,c3))),multiply(V_3,
% multiply(
% inverse(V_4),V_4))))
% <->
% multiply(A,multiply(inverse(multiply(B,A)),multiply(inverse(multiply(B,A)),
% multiply(B,A)))) is composed into 
% [828]
% multiply(c3,multiply(inverse(multiply(V_3,multiply(B,c3))),multiply(V_3,
% multiply(inverse(V_4),V_4))))
% <->
% multiply(A,multiply(inverse(multiply(B,A)),multiply(c3,multiply(inverse(c3),
% multiply(inverse(c3),c3)))))
% Rule [821]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,
% multiply(
% inverse(V_3),V_3))))
% <->
% multiply(c3,multiply(inverse(multiply(C,c3)),multiply(inverse(multiply(C,c3)),
% multiply(C,c3)))) is composed into 
% [821]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,multiply(
% inverse(V_3),V_3))))
% <->
% multiply(c3,multiply(inverse(multiply(C,c3)),multiply(c3,multiply(inverse(c3),
% multiply(inverse(c3),c3)))))
% New rule produced :
% [875]
% multiply(inverse(B),B) <->
% multiply(c3,multiply(inverse(c3),multiply(inverse(c3),c3)))
% Current number of equations to process: 3482
% Current number of ordered equations: 1
% Current number of rules: 406
% Rule [875]
% multiply(inverse(B),B) <->
% multiply(c3,multiply(inverse(c3),multiply(inverse(c3),c3))) is composed into 
% [875] multiply(inverse(B),B) <-> multiply(inverse(c3),c3)
% Rule [837]
% multiply(V_3,multiply(inverse(multiply(V_4,multiply(B,V_3))),multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_5)))))
% <->
% multiply(A,multiply(inverse(multiply(B,A)),multiply(c3,multiply(
% inverse(c3),
% multiply(
% inverse(c3),c3))))) is composed into 
% [837]
% multiply(V_3,multiply(inverse(multiply(V_4,multiply(B,V_3))),multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_5)))))
% <-> multiply(A,multiply(inverse(multiply(B,A)),multiply(inverse(c3),c3)))
% Rule [828]
% multiply(c3,multiply(inverse(multiply(V_3,multiply(B,c3))),multiply(V_3,
% multiply(
% inverse(V_4),V_4))))
% <->
% multiply(A,multiply(inverse(multiply(B,A)),multiply(c3,multiply(
% inverse(c3),
% multiply(
% inverse(c3),c3))))) is composed into 
% [828]
% multiply(c3,multiply(inverse(multiply(V_3,multiply(B,c3))),multiply(V_3,
% multiply(inverse(V_4),V_4))))
% <-> multiply(A,multiply(inverse(multiply(B,A)),multiply(inverse(c3),c3)))
% Rule [821]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,
% multiply(
% inverse(V_3),V_3))))
% <->
% multiply(c3,multiply(inverse(multiply(C,c3)),multiply(c3,multiply(
% inverse(c3),
% multiply(
% inverse(c3),c3))))) is composed into 
% [821]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,multiply(
% inverse(V_3),V_3))))
% <-> multiply(c3,multiply(inverse(multiply(C,c3)),multiply(inverse(c3),c3)))
% New rule produced :
% [876]
% multiply(c3,multiply(inverse(c3),multiply(inverse(c3),c3))) <->
% multiply(inverse(B),B)
% Current number of equations to process: 3482
% Current number of ordered equations: 0
% Current number of rules: 407
% Rule [848]
% multiply(c3,multiply(inverse(multiply(V_4,multiply(C,c3))),multiply(V_4,
% multiply(
% inverse(V_5),V_5))))
% <->
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,
% inverse(multiply(
% inverse(V_3),V_3))))) is composed into 
% [848]
% multiply(c3,multiply(inverse(multiply(V_4,multiply(C,c3))),multiply(V_4,
% multiply(inverse(V_5),V_5))))
% <->
% multiply(A,multiply(inverse(multiply(C,A)),multiply(inverse(multiply(C,A)),
% multiply(C,A))))
% Rule [524]
% multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),B)),
% inverse(multiply(inverse(C),C))) ->
% multiply(inverse(multiply(c3,B)),multiply(c3,inverse(multiply(inverse(C),C)))) is composed into 
% [524]
% multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),B)),
% inverse(multiply(inverse(C),C))) ->
% multiply(inverse(B),multiply(inverse(B),B))
% Rule [518]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),B)),
% inverse(multiply(inverse(C),C))) ->
% multiply(inverse(multiply(c3,B)),multiply(c3,inverse(multiply(inverse(C),C)))) is composed into 
% [518]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),B)),
% inverse(multiply(inverse(C),C))) ->
% multiply(inverse(B),multiply(inverse(B),B))
% New rule produced :
% [877]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(C),C))))
% -> multiply(inverse(B),multiply(inverse(B),B))
% Rule
% [514]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(
% multiply(B,C)),
% multiply(B,
% inverse(multiply(
% inverse(V_3),V_3))))))
% -> C collapsed.
% Rule
% [520]
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),inverse(multiply(
% inverse(
% multiply(B,C)),
% multiply(B,
% inverse(
% multiply(
% inverse(V_3),V_3))))))
% -> C collapsed.
% Rule
% [609]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(C),
% multiply(inverse(multiply(c3,B)),
% multiply(c3,inverse(
% multiply(
% inverse(V_3),V_3))))))))
% -> C collapsed.
% Rule
% [610]
% multiply(inverse(multiply(c3,A)),multiply(c3,inverse(multiply(inverse(B),
% multiply(inverse(
% multiply(C,A)),
% multiply(C,inverse(
% multiply(
% inverse(V_3),V_3))))))))
% -> B collapsed.
% Rule
% [647]
% inverse(multiply(A,multiply(inverse(multiply(B,multiply(c3,A))),multiply(B,
% inverse(
% multiply(
% inverse(C),C))))))
% <-> multiply(c3,multiply(inverse(V_3),V_3)) collapsed.
% Rule
% [659]
% multiply(c3,inverse(multiply(A,multiply(inverse(multiply(B,multiply(C,A))),
% multiply(B,inverse(multiply(inverse(V_3),V_3)))))))
% -> multiply(c3,multiply(C,multiply(inverse(C),C))) collapsed.
% Rule
% [758]
% inverse(multiply(A,multiply(inverse(multiply(B,multiply(B,A))),multiply(B,
% inverse(
% multiply(
% inverse(C),C))))))
% <-> multiply(B,multiply(inverse(V_3),V_3)) collapsed.
% Rule
% [762]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,inverse(
% multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(V_4,multiply(inverse(multiply(c3,multiply(C,V_4))),multiply(c3,
% inverse(multiply(
% inverse(V_5),V_5)))))
% collapsed.
% Rule
% [763]
% multiply(V_4,multiply(inverse(multiply(c3,multiply(C,V_4))),multiply(c3,
% inverse(multiply(
% inverse(V_5),V_5)))))
% <->
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,inverse(
% multiply(
% inverse(V_3),V_3)))))
% collapsed.
% Rule
% [837]
% multiply(V_3,multiply(inverse(multiply(V_4,multiply(B,V_3))),multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_5)))))
% <-> multiply(A,multiply(inverse(multiply(B,A)),multiply(inverse(c3),c3)))
% collapsed.
% Rule
% [847]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,inverse(
% multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(c3,multiply(inverse(multiply(V_4,multiply(C,c3))),multiply(V_4,
% multiply(inverse(V_5),V_5))))
% collapsed.
% Current number of equations to process: 3548
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [878]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(C),
% multiply(inverse(C),C))))
% -> C
% Current number of equations to process: 3547
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [879]
% multiply(inverse(multiply(c3,B)),multiply(c3,C)) <->
% multiply(multiply(inverse(A),A),multiply(inverse(B),C))
% Current number of equations to process: 3553
% Current number of ordered equations: 1
% Current number of rules: 399
% New rule produced :
% [880]
% multiply(multiply(inverse(A),A),multiply(inverse(B),C)) <->
% multiply(inverse(multiply(c3,B)),multiply(c3,C))
% Rule
% [498]
% multiply(c3,multiply(multiply(inverse(c3),c3),multiply(inverse(c3),multiply(
% inverse(c3),c3))))
% <-> inverse(multiply(inverse(A),A)) collapsed.
% Current number of equations to process: 3554
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [881]
% inverse(inverse(inverse(inverse(multiply(inverse(A),A))))) <->
% multiply(inverse(B),B)
% Rule
% [858]
% multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),multiply(
% multiply(
% inverse(c3),c3),B))
% <-> multiply(multiply(inverse(c3),c3),multiply(multiply(inverse(c3),c3),B))
% collapsed.
% Current number of equations to process: 3581
% Current number of ordered equations: 1
% Current number of rules: 399
% Rule [848]
% multiply(c3,multiply(inverse(multiply(V_4,multiply(C,c3))),multiply(V_4,
% multiply(
% inverse(V_5),V_5))))
% <->
% multiply(A,multiply(inverse(multiply(C,A)),multiply(inverse(multiply(C,A)),
% multiply(C,A)))) is composed into 
% [848]
% multiply(c3,multiply(inverse(multiply(V_4,multiply(C,c3))),multiply(V_4,
% multiply(inverse(V_5),V_5))))
% <->
% multiply(A,multiply(inverse(multiply(C,A)),inverse(inverse(inverse(inverse(
% multiply(
% inverse(A),A)))))))
% New rule produced :
% [882]
% multiply(inverse(B),B) <->
% inverse(inverse(inverse(inverse(multiply(inverse(A),A)))))
% Rule
% [859]
% multiply(multiply(inverse(c3),c3),multiply(multiply(inverse(c3),c3),B)) <->
% multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),multiply(
% multiply(
% inverse(c3),c3),B))
% collapsed.
% Current number of equations to process: 3581
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [883]
% inverse(inverse(inverse(inverse(inverse(inverse(multiply(inverse(A),A)))))))
% <-> multiply(inverse(B),B)
% Current number of equations to process: 3601
% Current number of ordered equations: 1
% Current number of rules: 400
% New rule produced :
% [884]
% multiply(inverse(B),B) <->
% inverse(inverse(inverse(inverse(inverse(inverse(multiply(inverse(A),A)))))))
% Current number of equations to process: 3601
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [885]
% inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(multiply(
% inverse(A),A)))))))))
% <-> multiply(inverse(B),B)
% Current number of equations to process: 3601
% Current number of ordered equations: 1
% Current number of rules: 402
% New rule produced :
% [886]
% multiply(inverse(B),B) <->
% inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(multiply(
% inverse(A),A)))))))))
% Current number of equations to process: 3601
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced :
% [887]
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(A),A)))))) <->
% multiply(inverse(B),B)
% Rule
% [860]
% multiply(multiply(inverse(c3),c3),multiply(inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(A),A)))))),B))
% <-> multiply(multiply(inverse(c3),c3),multiply(multiply(inverse(c3),c3),B))
% collapsed.
% Current number of equations to process: 3602
% Current number of ordered equations: 1
% Current number of rules: 403
% New rule produced :
% [888]
% multiply(inverse(B),B) <->
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))))
% Rule
% [861]
% multiply(multiply(inverse(c3),c3),multiply(multiply(inverse(c3),c3),B)) <->
% multiply(multiply(inverse(c3),c3),multiply(inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(A),A)))))),B))
% collapsed.
% Current number of equations to process: 3602
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced :
% [889]
% multiply(inverse(multiply(inverse(A),B)),inverse(inverse(multiply(inverse(C),C))))
% -> multiply(inverse(multiply(c3,B)),multiply(c3,A))
% Rule
% [305]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),B)),
% inverse(inverse(multiply(inverse(C),C)))) ->
% multiply(inverse(multiply(c3,B)),multiply(c3,inverse(inverse(multiply(
% inverse(C),C)))))
% collapsed.
% Rule
% [344]
% multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),B)),
% inverse(inverse(multiply(inverse(C),C)))) ->
% multiply(inverse(multiply(c3,B)),multiply(c3,inverse(inverse(multiply(
% inverse(A),A)))))
% collapsed.
% Current number of equations to process: 3713
% Current number of ordered equations: 2
% Current number of rules: 402
% New rule produced :
% [890]
% multiply(inverse(multiply(c3,B)),multiply(c3,C)) <->
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),multiply(inverse(B),C))
% Current number of equations to process: 3713
% Current number of ordered equations: 1
% Current number of rules: 403
% New rule produced :
% [891]
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),multiply(inverse(B),C))
% <-> multiply(inverse(multiply(c3,B)),multiply(c3,C))
% Current number of equations to process: 3713
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [892]
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),inverse(multiply(
% inverse(C),
% multiply(
% inverse(C),C))))
% -> C
% Current number of equations to process: 3715
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [893]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(C),C))) ->
% multiply(inverse(B),multiply(inverse(B),B))
% Rule
% [504]
% multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,multiply(
% inverse(c3),c3)))))
% -> C collapsed.
% Rule
% [525]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(
% multiply(B,C)),
% multiply(B,
% multiply(inverse(c3),c3)))))
% -> C collapsed.
% Rule
% [558]
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),inverse(multiply(
% inverse(
% multiply(B,C)),
% multiply(B,
% multiply(
% inverse(c3),c3)))))
% -> C collapsed.
% Rule
% [603]
% inverse(multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,
% multiply(
% inverse(B),B)))))
% <-> multiply(A,multiply(inverse(C),C)) collapsed.
% Rule
% [821]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,multiply(
% inverse(V_3),V_3))))
% <-> multiply(c3,multiply(inverse(multiply(C,c3)),multiply(inverse(c3),c3)))
% collapsed.
% Rule
% [828]
% multiply(c3,multiply(inverse(multiply(V_3,multiply(B,c3))),multiply(V_3,
% multiply(inverse(V_4),V_4))))
% <-> multiply(A,multiply(inverse(multiply(B,A)),multiply(inverse(c3),c3)))
% collapsed.
% Rule
% [839]
% multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,multiply(
% inverse(B),B))))
% <->
% multiply(c3,multiply(inverse(multiply(C,multiply(A,c3))),multiply(C,multiply(
% inverse(V_3),V_3))))
% collapsed.
% Rule
% [840]
% multiply(c3,multiply(inverse(multiply(C,multiply(A,c3))),multiply(C,multiply(
% inverse(V_3),V_3))))
% <->
% multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),multiply(A,multiply(
% inverse(B),B))))
% collapsed.
% Rule
% [848]
% multiply(c3,multiply(inverse(multiply(V_4,multiply(C,c3))),multiply(V_4,
% multiply(inverse(V_5),V_5))))
% <->
% multiply(A,multiply(inverse(multiply(C,A)),inverse(inverse(inverse(inverse(
% multiply(
% inverse(A),A)))))))
% collapsed.
% Rule
% [874]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(inverse(B),B))) ->
% multiply(inverse(A),multiply(inverse(A),A)) collapsed.
% Current number of equations to process: 3719
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [894]
% multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(C),
% multiply(inverse(C),C)))) ->
% C
% Current number of equations to process: 3718
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [895]
% multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),C))),V_3)) <->
% multiply(V_4,multiply(inverse(multiply(B,multiply(inverse(A),V_4))),V_3))
% Current number of equations to process: 3717
% Current number of ordered equations: 1
% Current number of rules: 398
% Rule [392]
% multiply(multiply(C,V_5),multiply(inverse(multiply(B,multiply(inverse(
% multiply(c3,V_3)),
% multiply(c3,V_5)))),V_4))
% <->
% multiply(A,multiply(inverse(multiply(B,multiply(inverse(multiply(C,V_3)),A))),V_4)) is composed into 
% [392]
% multiply(multiply(C,V_5),multiply(inverse(multiply(B,multiply(inverse(
% multiply(c3,V_3)),
% multiply(c3,V_5)))),V_4))
% <->
% multiply(multiply(C,V_3),multiply(inverse(multiply(B,multiply(inverse(C),C))),V_4))
% New rule produced :
% [896]
% multiply(V_4,multiply(inverse(multiply(B,multiply(inverse(A),V_4))),V_3)) <->
% multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),C))),V_3))
% Rule
% [387]
% multiply(A,multiply(inverse(multiply(B,multiply(inverse(inverse(multiply(
% inverse(C),C))),A))),V_3))
% ->
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(multiply(B,
% inverse(multiply(
% inverse(C),C)))),V_3))
% collapsed.
% Rule
% [393]
% multiply(A,multiply(inverse(multiply(B,multiply(inverse(multiply(C,V_3)),A))),V_4))
% <->
% multiply(multiply(C,V_5),multiply(inverse(multiply(B,multiply(inverse(
% multiply(c3,V_3)),
% multiply(c3,V_5)))),V_4))
% collapsed.
% Rule
% [661]
% multiply(c3,multiply(inverse(multiply(V_4,multiply(inverse(multiply(A,
% multiply(A,V_4))),c3))),V_3))
% <->
% multiply(multiply(A,multiply(inverse(B),B)),multiply(multiply(A,multiply(
% inverse(C),C)),V_3))
% collapsed.
% Rule
% [675]
% multiply(A,multiply(inverse(multiply(B,multiply(inverse(inverse(inverse(
% multiply(
% inverse(C),C)))),A))),V_3))
% ->
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(B,multiply(
% inverse(c3),c3))),V_3))
% collapsed.
% Rule
% [750]
% multiply(A,multiply(inverse(multiply(B,multiply(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))),A))),V_3))
% ->
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(B,multiply(
% inverse(c3),c3))),V_3))
% collapsed.
% Rule
% [760]
% multiply(A,multiply(inverse(multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),A))),V_4))
% <->
% multiply(V_5,multiply(inverse(multiply(V_6,multiply(inverse(multiply(C,
% multiply(V_3,V_6))),V_5))),V_4))
% collapsed.
% Rule
% [761]
% multiply(V_4,multiply(inverse(multiply(c3,multiply(inverse(multiply(A,
% multiply(C,c3))),V_4))),V_3))
% <->
% multiply(multiply(A,multiply(inverse(B),B)),multiply(multiply(C,multiply(
% inverse(C),C)),V_3))
% collapsed.
% Rule
% [863]
% multiply(V_3,multiply(inverse(multiply(c3,multiply(inverse(multiply(A,c3)),V_3))),C))
% <->
% multiply(multiply(A,multiply(inverse(c3),c3)),multiply(multiply(inverse(B),B),C))
% collapsed.
% Current number of equations to process: 3723
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [897]
% multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,multiply(A,
% multiply(
% inverse(V_3),V_3))))))
% -> C
% Rule
% [541]
% multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,multiply(A,
% multiply(
% inverse(c3),c3))))))
% -> C collapsed.
% Rule
% [709]
% multiply(A,inverse(multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,
% multiply(
% inverse(C),C))))))
% -> B collapsed.
% Current number of equations to process: 3722
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [898]
% multiply(A,multiply(B,inverse(multiply(inverse(C),multiply(A,multiply(B,
% multiply(
% inverse(V_3),V_3)))))))
% -> C
% Rule
% [442]
% multiply(c3,multiply(A,inverse(multiply(inverse(B),multiply(c3,multiply(A,
% multiply(
% inverse(C),C)))))))
% -> B collapsed.
% Rule
% [596]
% multiply(A,multiply(B,inverse(multiply(inverse(C),multiply(A,multiply(B,
% multiply(
% inverse(c3),c3)))))))
% -> C collapsed.
% Current number of equations to process: 3721
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [899]
% multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),multiply(
% inverse(B),B))
% -> multiply(inverse(B),B)
% Rule
% [710]
% multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),multiply(
% inverse(c3),c3))
% -> multiply(inverse(c3),c3) collapsed.
% Current number of equations to process: 3807
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [900]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(C),
% multiply(inverse(C),C)))))
% -> multiply(inverse(B),C)
% Current number of equations to process: 3844
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [901]
% multiply(A,multiply(inverse(B),B)) <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(C,c3))),multiply(c3,
% multiply(C,A))))
% Rule
% [492]
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(B),B)) ->
% multiply(inverse(B),B) collapsed.
% Rule
% [494]
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),multiply(inverse(B),B))
% -> inverse(inverse(multiply(inverse(A),A))) collapsed.
% Rule
% [499]
% multiply(inverse(multiply(multiply(inverse(B),B),A)),multiply(inverse(c3),c3))
% -> multiply(inverse(A),multiply(inverse(A),A)) collapsed.
% Rule
% [559]
% multiply(inverse(multiply(multiply(inverse(c3),c3),A)),multiply(inverse(B),B))
% -> multiply(inverse(A),multiply(inverse(A),A)) collapsed.
% Rule
% [667]
% multiply(multiply(inverse(A),A),multiply(inverse(B),B)) ->
% multiply(inverse(A),A) collapsed.
% Rule
% [669]
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),multiply(
% inverse(c3),c3))
% ->
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(inverse(c3),c3)))
% collapsed.
% Rule
% [835]
% multiply(inverse(multiply(c3,multiply(c3,multiply(inverse(A),A)))),multiply(
% inverse(A),A))
% ->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),inverse(inverse(
% multiply(
% inverse(A),A)))))
% collapsed.
% Rule
% [868]
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(multiply(inverse(A),A)))))),
% multiply(inverse(B),B)) ->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(inverse(c3),c3)))
% collapsed.
% Rule
% [871]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(C),C)) ->
% multiply(inverse(multiply(c3,B)),multiply(c3,A)) collapsed.
% Rule
% [899]
% multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),multiply(
% inverse(B),B))
% -> multiply(inverse(B),B) collapsed.
% Current number of equations to process: 3850
% Current number of ordered equations: 1
% Current number of rules: 381
% New rule produced :
% [902]
% multiply(c3,multiply(inverse(multiply(c3,multiply(C,c3))),multiply(c3,
% multiply(C,A))))
% <-> multiply(A,multiply(inverse(B),B))
% Current number of equations to process: 3850
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [903]
% multiply(A,multiply(inverse(B),B)) <->
% multiply(C,multiply(inverse(multiply(V_3,multiply(V_4,C))),multiply(V_3,
% multiply(V_4,A))))
% Rule
% [901]
% multiply(A,multiply(inverse(B),B)) <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(C,c3))),multiply(c3,
% multiply(C,A))))
% collapsed.
% Current number of equations to process: 3849
% Current number of ordered equations: 1
% Current number of rules: 382
% New rule produced :
% [904]
% multiply(C,multiply(inverse(multiply(V_3,multiply(V_4,C))),multiply(V_3,
% multiply(V_4,A))))
% <-> multiply(A,multiply(inverse(B),B))
% Rule
% [902]
% multiply(c3,multiply(inverse(multiply(c3,multiply(C,c3))),multiply(c3,
% multiply(C,A))))
% <-> multiply(A,multiply(inverse(B),B)) collapsed.
% Current number of equations to process: 3849
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [905]
% multiply(inverse(B),B) <->
% multiply(inverse(multiply(inverse(A),A)),inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(A),A)))))))
% Current number of equations to process: 3848
% Current number of ordered equations: 1
% Current number of rules: 383
% Rule [905]
% multiply(inverse(B),B) <->
% multiply(inverse(multiply(inverse(A),A)),inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(A),A))))))) is composed into 
% [905] multiply(inverse(B),B) <-> multiply(inverse(c3),c3)
% New rule produced :
% [906]
% multiply(inverse(multiply(inverse(A),A)),inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(A),A)))))))
% <-> multiply(inverse(B),B)
% Current number of equations to process: 3848
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [907]
% multiply(inverse(multiply(inverse(A),B)),inverse(inverse(inverse(multiply(
% inverse(C),C)))))
% -> multiply(inverse(multiply(c3,B)),multiply(c3,A))
% Rule
% [375]
% multiply(inverse(multiply(inverse(A),A)),inverse(inverse(inverse(multiply(
% inverse(A),A)))))
% -> inverse(inverse(inverse(multiply(inverse(A),A)))) collapsed.
% Rule
% [433]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),B)),
% inverse(inverse(inverse(multiply(inverse(C),C))))) ->
% multiply(inverse(multiply(c3,B)),multiply(c3,inverse(inverse(inverse(
% multiply(
% inverse(C),C))))))
% collapsed.
% Current number of equations to process: 3847
% Current number of ordered equations: 2
% Current number of rules: 383
% New rule produced :
% [908]
% multiply(inverse(multiply(c3,B)),multiply(c3,C)) <->
% multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),multiply(
% inverse(B),C))
% Current number of equations to process: 3847
% Current number of ordered equations: 1
% Current number of rules: 384
% New rule produced :
% [909]
% multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),multiply(
% inverse(B),C))
% <-> multiply(inverse(multiply(c3,B)),multiply(c3,C))
% Current number of equations to process: 3847
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [910]
% multiply(A,multiply(multiply(inverse(B),B),inverse(multiply(inverse(C),
% multiply(A,multiply(
% inverse(V_3),V_3))))))
% -> C
% Rule
% [500]
% multiply(c3,multiply(multiply(inverse(c3),c3),inverse(multiply(inverse(A),
% multiply(c3,multiply(
% inverse(B),B))))))
% -> A collapsed.
% Rule
% [718]
% multiply(c3,multiply(multiply(inverse(A),A),inverse(multiply(inverse(B),
% multiply(c3,multiply(
% inverse(A),A))))))
% -> B collapsed.
% Current number of equations to process: 3846
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [911]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),C))
% <->
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(inverse(A),A)),C))
% Current number of equations to process: 3844
% Current number of ordered equations: 2
% Current number of rules: 385
% New rule produced :
% [912]
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(inverse(A),A)),C))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),C))
% Current number of equations to process: 3844
% Current number of ordered equations: 1
% Current number of rules: 386
% New rule produced :
% [913]
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(inverse(A),A)),
% inverse(multiply(inverse(A),A)))) ->
% multiply(inverse(c3),c3)
% Current number of equations to process: 3844
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [914]
% inverse(inverse(multiply(inverse(multiply(inverse(A),A)),inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(A),A))))))))
% <-> multiply(inverse(B),B)
% Current number of equations to process: 3842
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [915]
% multiply(multiply(inverse(B),B),multiply(multiply(inverse(B),B),A)) <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(multiply(
% inverse(A),
% multiply(
% inverse(B),B)))))))
% Current number of equations to process: 3838
% Current number of ordered equations: 1
% Current number of rules: 389
% New rule produced :
% [916]
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(multiply(
% inverse(A),
% multiply(
% inverse(B),B)))))))
% <-> multiply(multiply(inverse(B),B),multiply(multiply(inverse(B),B),A))
% Current number of equations to process: 3838
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [917]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(C),
% multiply(inverse(B),
% multiply(inverse(V_3),V_3))))))
% -> C
% Rule
% [3]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(C),
% multiply(inverse(B),
% multiply(inverse(B),B))))))
% -> C collapsed.
% Current number of equations to process: 3837
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [918]
% multiply(A,multiply(inverse(multiply(B,inverse(inverse(multiply(inverse(C),C))))),V_3))
% <-> multiply(V_4,multiply(inverse(multiply(B,multiply(inverse(A),V_4))),V_3))
% Current number of equations to process: 3836
% Current number of ordered equations: 1
% Current number of rules: 391
% New rule produced :
% [919]
% multiply(V_4,multiply(inverse(multiply(B,multiply(inverse(A),V_4))),V_3)) <->
% multiply(A,multiply(inverse(multiply(B,inverse(inverse(multiply(inverse(C),C))))),V_3))
% Current number of equations to process: 3836
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [920]
% multiply(multiply(inverse(c3),c3),inverse(inverse(inverse(inverse(inverse(
% multiply(
% inverse(A),A)))))))
% -> inverse(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))))
% Current number of equations to process: 3834
% Current number of ordered equations: 0
% Current number of rules: 393
% Rule [561]
% multiply(inverse(multiply(multiply(inverse(A),A),B)),inverse(inverse(
% multiply(
% inverse(C),C))))
% ->
% multiply(inverse(multiply(c3,B)),multiply(c3,inverse(inverse(multiply(
% inverse(C),C))))) is composed into 
% [561]
% multiply(inverse(multiply(multiply(inverse(A),A),B)),inverse(inverse(
% multiply(
% inverse(C),C))))
% -> multiply(inverse(B),multiply(inverse(B),B))
% New rule produced :
% [921]
% multiply(inverse(multiply(c3,B)),multiply(c3,inverse(inverse(multiply(
% inverse(C),C)))))
% -> multiply(inverse(B),multiply(inverse(B),B))
% Rule
% [376]
% multiply(inverse(multiply(c3,A)),multiply(c3,inverse(inverse(multiply(
% inverse(A),A)))))
% -> multiply(inverse(A),multiply(inverse(A),A)) collapsed.
% Current number of equations to process: 3833
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [922]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(C),C)))))
% -> multiply(inverse(B),C)
% Current number of equations to process: 3832
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [923]
% inverse(multiply(c3,multiply(inverse(multiply(A,c3)),inverse(inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(A),A)))))))))
% <-> multiply(A,multiply(inverse(C),C))
% Current number of equations to process: 3831
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [924]
% multiply(inverse(multiply(C,A)),multiply(C,inverse(inverse(multiply(inverse(V_3),V_3)))))
% -> multiply(inverse(A),multiply(inverse(A),A))
% Rule
% [298]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(
% multiply(B,C)),
% multiply(B,
% inverse(inverse(
% multiply(
% inverse(V_3),V_3)))))))
% -> C collapsed.
% Rule
% [301]
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),inverse(multiply(
% inverse(
% multiply(B,C)),
% multiply(B,
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))
% -> C collapsed.
% Rule
% [527]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,inverse(inverse(multiply(
% inverse(V_3),V_3)))))))
% -> C collapsed.
% Rule
% [676]
% multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),inverse(
% multiply(
% inverse(
% multiply(B,C)),
% multiply(B,
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))
% -> C collapsed.
% Rule
% [856]
% inverse(multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <-> multiply(C,inverse(inverse(multiply(inverse(V_4),V_4)))) collapsed.
% Rule
% [921]
% multiply(inverse(multiply(c3,B)),multiply(c3,inverse(inverse(multiply(
% inverse(C),C)))))
% -> multiply(inverse(B),multiply(inverse(B),B)) collapsed.
% Current number of equations to process: 3833
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [925]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(C),multiply(
% inverse(C),C))))
% -> C
% Current number of equations to process: 3832
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [926]
% multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(C),C))))
% -> C
% Current number of equations to process: 3831
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [927]
% multiply(inverse(multiply(V_3,inverse(inverse(multiply(inverse(V_4),V_4))))),
% multiply(V_3,C)) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),C))
% Current number of equations to process: 3830
% Current number of ordered equations: 1
% Current number of rules: 393
% New rule produced :
% [928]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),C))
% <->
% multiply(inverse(multiply(V_3,inverse(inverse(multiply(inverse(V_4),V_4))))),
% multiply(V_3,C))
% Current number of equations to process: 3830
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [929]
% multiply(multiply(A,multiply(inverse(c3),c3)),multiply(multiply(inverse(B),B),C))
% <->
% multiply(multiply(A,c3),multiply(inverse(multiply(c3,multiply(inverse(c3),c3))),C))
% Current number of equations to process: 3828
% Current number of ordered equations: 1
% Current number of rules: 395
% New rule produced :
% [930]
% multiply(multiply(A,c3),multiply(inverse(multiply(c3,multiply(inverse(c3),c3))),C))
% <->
% multiply(multiply(A,multiply(inverse(c3),c3)),multiply(multiply(inverse(B),B),C))
% Current number of equations to process: 3828
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [931]
% multiply(c3,multiply(inverse(multiply(inverse(A),A)),B)) <->
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(inverse(c3),
% multiply(inverse(c3),c3))),B))
% Current number of equations to process: 3827
% Current number of ordered equations: 1
% Current number of rules: 397
% Rule [931]
% multiply(c3,multiply(inverse(multiply(inverse(A),A)),B)) <->
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(inverse(c3),
% multiply(inverse(c3),c3))),B)) is composed into 
% [931]
% multiply(c3,multiply(inverse(multiply(inverse(A),A)),B)) <->
% multiply(c3,multiply(inverse(multiply(inverse(c3),c3)),B))
% New rule produced :
% [932]
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(inverse(c3),
% multiply(inverse(c3),c3))),B))
% <-> multiply(c3,multiply(inverse(multiply(inverse(A),A)),B))
% Current number of equations to process: 3827
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [933]
% multiply(A,multiply(multiply(inverse(B),B),multiply(multiply(inverse(B),B),C)))
% <->
% multiply(V_3,multiply(inverse(multiply(V_4,multiply(inverse(A),V_3))),
% multiply(V_4,C)))
% Current number of equations to process: 3823
% Current number of ordered equations: 1
% Current number of rules: 399
% New rule produced :
% [934]
% multiply(V_3,multiply(inverse(multiply(V_4,multiply(inverse(A),V_3))),
% multiply(V_4,C))) <->
% multiply(A,multiply(multiply(inverse(B),B),multiply(multiply(inverse(B),B),C)))
% Current number of equations to process: 3823
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [935]
% multiply(multiply(inverse(A),A),multiply(inverse(B),inverse(multiply(
% inverse(C),
% multiply(
% inverse(B),
% multiply(
% inverse(B),B))))))
% -> C
% Current number of equations to process: 3818
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [936]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,multiply(inverse(C),C))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,multiply(inverse(V_3),V_3))))
% Rule
% [681]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,multiply(inverse(c3),c3))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,multiply(inverse(C),C))))
% collapsed.
% Rule
% [699]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,multiply(inverse(C),C))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(inverse(c3),c3))))
% collapsed.
% Current number of equations to process: 3817
% Current number of ordered equations: 1
% Current number of rules: 400
% New rule produced :
% [937]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,multiply(inverse(V_3),V_3))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,multiply(inverse(C),C))))
% Rule
% [682]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,multiply(inverse(C),C))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,multiply(inverse(c3),c3))))
% collapsed.
% Rule
% [700]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(inverse(c3),c3))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,multiply(inverse(C),C))))
% collapsed.
% Current number of equations to process: 3817
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [938]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(inverse(C),C)))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),multiply(inverse(c3),c3)))
% Current number of equations to process: 3815
% Current number of ordered equations: 1
% Current number of rules: 400
% New rule produced :
% [939]
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),multiply(inverse(c3),c3)))
% <->
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(inverse(C),C)))
% Current number of equations to process: 3815
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [940]
% multiply(c3,multiply(inverse(multiply(inverse(A),A)),inverse(multiply(
% inverse(B),
% multiply(c3,
% inverse(
% multiply(
% inverse(C),C)))))))
% -> B
% Current number of equations to process: 3814
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [941]
% multiply(A,multiply(inverse(multiply(B,inverse(inverse(inverse(multiply(
% inverse(C),C)))))),V_3))
% <-> multiply(V_4,multiply(inverse(multiply(B,multiply(inverse(A),V_4))),V_3))
% Current number of equations to process: 3809
% Current number of ordered equations: 1
% Current number of rules: 403
% New rule produced :
% [942]
% multiply(V_4,multiply(inverse(multiply(B,multiply(inverse(A),V_4))),V_3)) <->
% multiply(A,multiply(inverse(multiply(B,inverse(inverse(inverse(multiply(
% inverse(C),C)))))),V_3))
% Current number of equations to process: 3809
% Current number of ordered equations: 0
% Current number of rules: 404
% Rule [785]
% multiply(inverse(multiply(multiply(inverse(A),A),B)),inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))
% ->
% multiply(inverse(multiply(c3,B)),multiply(c3,inverse(inverse(inverse(
% multiply(
% inverse(C),C)))))) is composed into 
% [785]
% multiply(inverse(multiply(multiply(inverse(A),A),B)),inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))
% -> multiply(inverse(B),multiply(inverse(B),B))
% New rule produced :
% [943]
% multiply(inverse(multiply(c3,B)),multiply(c3,inverse(inverse(inverse(
% multiply(
% inverse(C),C))))))
% -> multiply(inverse(B),multiply(inverse(B),B))
% Current number of equations to process: 3808
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [944]
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(B),
% inverse(multiply(inverse(C),
% multiply(inverse(C),C)))))
% -> multiply(inverse(B),C)
% Current number of equations to process: 3807
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [945]
% inverse(multiply(A,multiply(inverse(multiply(C,A)),inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(A),A)))))))))
% <-> multiply(C,inverse(inverse(multiply(inverse(V_4),V_4))))
% Current number of equations to process: 3806
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [946]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(c3,B)),
% multiply(c3,C))) <->
% multiply(inverse(multiply(c3,multiply(V_3,B))),multiply(c3,multiply(V_3,C)))
% Current number of equations to process: 3805
% Current number of ordered equations: 1
% Current number of rules: 408
% New rule produced :
% [947]
% multiply(inverse(multiply(c3,multiply(V_3,B))),multiply(c3,multiply(V_3,C)))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(c3,B)),
% multiply(c3,C)))
% Current number of equations to process: 3805
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [948]
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(multiply(
% inverse(
% multiply(c3,A)),
% multiply(c3,B)))))))
% <->
% multiply(inverse(multiply(c3,multiply(V_3,B))),multiply(c3,multiply(V_3,A)))
% Current number of equations to process: 3804
% Current number of ordered equations: 1
% Current number of rules: 410
% New rule produced :
% [949]
% multiply(inverse(multiply(c3,multiply(V_3,B))),multiply(c3,multiply(V_3,A)))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(multiply(
% inverse(
% multiply(c3,A)),
% multiply(c3,B)))))))
% Current number of equations to process: 3804
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [950]
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(multiply(
% inverse(A),B))))))
% <->
% multiply(inverse(multiply(c3,multiply(c3,B))),multiply(c3,multiply(c3,A)))
% Current number of equations to process: 3802
% Current number of ordered equations: 3
% Current number of rules: 412
% New rule produced :
% [951]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(A),A),multiply(
% inverse(B),C)))
% <->
% multiply(inverse(multiply(c3,multiply(c3,B))),multiply(c3,multiply(c3,C)))
% Current number of equations to process: 3802
% Current number of ordered equations: 2
% Current number of rules: 413
% New rule produced :
% [952]
% multiply(inverse(multiply(c3,multiply(c3,B))),multiply(c3,multiply(c3,C)))
% <->
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(A),A),multiply(
% inverse(B),C)))
% Current number of equations to process: 3802
% Current number of ordered equations: 1
% Current number of rules: 414
% New rule produced :
% [953]
% multiply(inverse(multiply(c3,multiply(c3,B))),multiply(c3,multiply(c3,A)))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(multiply(
% inverse(A),B))))))
% Current number of equations to process: 3802
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [954]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(B,C)),
% multiply(B,V_3))) <->
% multiply(inverse(multiply(c3,multiply(c3,C))),multiply(c3,multiply(c3,V_3)))
% Current number of equations to process: 3801
% Current number of ordered equations: 1
% Current number of rules: 416
% New rule produced :
% [955]
% multiply(inverse(multiply(c3,multiply(c3,C))),multiply(c3,multiply(c3,V_3)))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(B,C)),
% multiply(B,V_3)))
% Current number of equations to process: 3801
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced :
% [956]
% multiply(inverse(multiply(A,multiply(B,multiply(B,multiply(inverse(C),C))))),
% multiply(A,V_3)) ->
% multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),V_3))
% Rule
% [544]
% multiply(inverse(multiply(A,multiply(B,multiply(B,multiply(inverse(c3),c3))))),
% multiply(A,C)) ->
% multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),C)) collapsed.
% Rule
% [637]
% multiply(inverse(multiply(A,multiply(c3,multiply(c3,multiply(inverse(B),B))))),
% multiply(A,C)) ->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),C)) collapsed.
% Current number of equations to process: 3800
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [957]
% multiply(inverse(multiply(A,multiply(c3,multiply(B,multiply(inverse(C),C))))),
% multiply(A,V_3)) ->
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),V_3))
% Rule
% [553]
% multiply(inverse(multiply(A,multiply(c3,multiply(B,multiply(inverse(c3),c3))))),
% multiply(A,C)) ->
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),C)) collapsed.
% Current number of equations to process: 3799
% Current number of ordered equations: 0
% Current number of rules: 416
% Rule [852]
% multiply(inverse(multiply(A,multiply(A,B))),multiply(A,multiply(A,
% multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(c3,multiply(V_3,B))),multiply(c3,multiply(V_3,
% multiply(
% inverse(V_4),V_4)))) is composed into 
% [852]
% multiply(inverse(multiply(A,multiply(A,B))),multiply(A,multiply(A,multiply(
% inverse(C),C))))
% -> multiply(inverse(B),multiply(inverse(B),B))
% Rule [845]
% multiply(inverse(multiply(A,multiply(A,B))),multiply(A,multiply(A,
% inverse(multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(c3,multiply(V_3,B))),multiply(c3,multiply(V_3,
% multiply(
% inverse(V_4),V_4)))) is composed into 
% [845]
% multiply(inverse(multiply(A,multiply(A,B))),multiply(A,multiply(A,inverse(
% multiply(
% inverse(C),C)))))
% -> multiply(inverse(B),multiply(inverse(B),B))
% Rule [829]
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,
% inverse(
% multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(c3,multiply(V_3,B))),multiply(c3,multiply(V_3,
% multiply(
% inverse(V_4),V_4)))) is composed into 
% [829]
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,inverse(
% multiply(
% inverse(C),C)))))
% -> multiply(inverse(B),multiply(inverse(B),B))
% Rule [465]
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,
% inverse(
% multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(c3,multiply(V_3,B))),multiply(c3,multiply(V_3,
% multiply(
% inverse(V_4),V_4)))) is composed into 
% [465]
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,inverse(
% multiply(
% inverse(C),C)))))
% -> multiply(inverse(B),multiply(inverse(B),B))
% New rule produced :
% [958]
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,multiply(
% inverse(C),C))))
% -> multiply(inverse(B),multiply(inverse(B),B))
% Rule
% [462]
% multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,multiply(c3,
% multiply(inverse(B),B))))
% <->
% multiply(inverse(multiply(c3,multiply(C,A))),multiply(c3,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3)))))
% collapsed.
% Rule
% [686]
% multiply(inverse(multiply(c3,multiply(B,inverse(inverse(multiply(inverse(C),C)))))),
% multiply(c3,multiply(B,multiply(inverse(V_3),V_3)))) <->
% multiply(inverse(A),A) collapsed.
% Rule
% [830]
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(c3,multiply(V_3,B))),multiply(c3,multiply(V_3,
% multiply(inverse(V_4),V_4))))
% collapsed.
% Rule
% [846]
% multiply(inverse(multiply(c3,multiply(V_3,B))),multiply(c3,multiply(V_3,
% multiply(inverse(V_4),V_4))))
% <->
% multiply(inverse(multiply(A,multiply(A,B))),multiply(A,multiply(A,inverse(
% multiply(
% inverse(C),C)))))
% collapsed.
% Rule
% [849]
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),multiply(c3,
% multiply(A,
% multiply(
% inverse(C),C))))
% -> multiply(inverse(c3),c3) collapsed.
% Rule
% [851]
% multiply(inverse(multiply(c3,multiply(B,inverse(multiply(inverse(C),C))))),
% multiply(c3,multiply(B,multiply(inverse(V_3),V_3)))) <->
% inverse(multiply(inverse(A),A)) collapsed.
% Rule
% [853]
% multiply(inverse(multiply(c3,multiply(V_3,B))),multiply(c3,multiply(V_3,
% multiply(inverse(V_4),V_4))))
% <->
% multiply(inverse(multiply(A,multiply(A,B))),multiply(A,multiply(A,multiply(
% inverse(C),C))))
% collapsed.
% Current number of equations to process: 3961
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [959]
% multiply(A,multiply(inverse(multiply(C,A)),inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(A),A))))))))
% <-> multiply(c3,multiply(inverse(multiply(C,c3)),multiply(inverse(c3),c3)))
% Current number of equations to process: 3973
% Current number of ordered equations: 1
% Current number of rules: 411
% New rule produced :
% [960]
% multiply(c3,multiply(inverse(multiply(C,c3)),multiply(inverse(c3),c3))) <->
% multiply(A,multiply(inverse(multiply(C,A)),inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(A),A))))))))
% Current number of equations to process: 3973
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [961]
% multiply(A,multiply(inverse(multiply(B,A)),multiply(inverse(c3),c3))) <->
% multiply(c3,multiply(inverse(multiply(B,c3)),multiply(inverse(c3),c3)))
% Current number of equations to process: 3972
% Current number of ordered equations: 1
% Current number of rules: 413
% New rule produced :
% [962]
% multiply(c3,multiply(inverse(multiply(B,c3)),multiply(inverse(c3),c3))) <->
% multiply(A,multiply(inverse(multiply(B,A)),multiply(inverse(c3),c3)))
% Current number of equations to process: 3972
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [963]
% multiply(A,multiply(inverse(multiply(B,A)),multiply(inverse(c3),c3))) <->
% multiply(V_3,multiply(inverse(multiply(B,V_3)),multiply(inverse(c3),c3)))
% Rule
% [961]
% multiply(A,multiply(inverse(multiply(B,A)),multiply(inverse(c3),c3))) <->
% multiply(c3,multiply(inverse(multiply(B,c3)),multiply(inverse(c3),c3)))
% collapsed.
% Rule
% [962]
% multiply(c3,multiply(inverse(multiply(B,c3)),multiply(inverse(c3),c3))) <->
% multiply(A,multiply(inverse(multiply(B,A)),multiply(inverse(c3),c3)))
% collapsed.
% Current number of equations to process: 3971
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [964]
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),multiply(c3,C))
% <->
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(A,multiply(
% inverse(c3),c3))),C))
% Current number of equations to process: 3970
% Current number of ordered equations: 1
% Current number of rules: 414
% New rule produced :
% [965]
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(A,multiply(
% inverse(c3),c3))),C))
% <->
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),multiply(c3,C))
% Current number of equations to process: 3970
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [966]
% multiply(inverse(multiply(c3,multiply(c3,B))),multiply(c3,multiply(c3,
% inverse(multiply(
% inverse(A),
% multiply(
% inverse(B),
% multiply(
% inverse(B),B)))))))
% -> A
% Current number of equations to process: 3969
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [967]
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(c3,multiply(
% inverse(c3),c3))),C))
% <->
% multiply(inverse(multiply(A,multiply(c3,multiply(inverse(B),B)))),multiply(A,C))
% Current number of equations to process: 3967
% Current number of ordered equations: 1
% Current number of rules: 417
% New rule produced :
% [968]
% multiply(inverse(multiply(A,multiply(c3,multiply(inverse(B),B)))),multiply(A,C))
% <->
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(c3,multiply(
% inverse(c3),c3))),C))
% Current number of equations to process: 3967
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced :
% [969]
% multiply(c3,multiply(inverse(multiply(inverse(A),A)),inverse(multiply(
% inverse(B),
% multiply(c3,
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B
% Current number of equations to process: 3964
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [970]
% multiply(A,inverse(multiply(B,multiply(A,multiply(A,multiply(inverse(C),C))))))
% <->
% multiply(V_3,inverse(multiply(B,multiply(A,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% Rule
% [586]
% multiply(A,inverse(multiply(B,multiply(A,multiply(A,multiply(inverse(c3),c3))))))
% <->
% multiply(C,inverse(multiply(B,multiply(A,multiply(C,inverse(multiply(
% inverse(V_3),V_3)))))))
% collapsed.
% Current number of equations to process: 3962
% Current number of ordered equations: 1
% Current number of rules: 419
% Rule [775]
% multiply(multiply(inverse(A),A),inverse(multiply(B,multiply(c3,multiply(
% inverse(A),A)))))
% <->
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(C),C))))))) is composed into 
% [775]
% multiply(multiply(inverse(A),A),inverse(multiply(B,multiply(c3,multiply(
% inverse(A),A)))))
% <->
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,multiply(inverse(C),C))))))
% Rule [773]
% multiply(multiply(inverse(c3),c3),inverse(multiply(A,multiply(c3,
% multiply(inverse(B),B)))))
% <->
% multiply(c3,inverse(multiply(A,multiply(c3,multiply(c3,inverse(multiply(
% inverse(C),C))))))) is composed into 
% [773]
% multiply(multiply(inverse(c3),c3),inverse(multiply(A,multiply(c3,multiply(
% inverse(B),B)))))
% <->
% multiply(c3,inverse(multiply(A,multiply(c3,multiply(c3,multiply(inverse(C),C))))))
% Rule [425]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(B,
% multiply(c3,
% inverse(
% multiply(
% inverse(A),A))))))
% <->
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(C),C))))))) is composed into 
% [425]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(B,
% multiply(c3,
% inverse(multiply(
% inverse(A),A))))))
% <->
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,multiply(inverse(C),C))))))
% New rule produced :
% [971]
% multiply(V_3,inverse(multiply(B,multiply(A,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(B,multiply(A,multiply(A,multiply(inverse(C),C))))))
% Rule
% [325]
% multiply(A,inverse(multiply(B,multiply(A,multiply(A,inverse(multiply(
% inverse(C),C)))))))
% <->
% multiply(V_3,inverse(multiply(B,multiply(A,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% collapsed.
% Rule
% [424]
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(C),C)))))))
% <->
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(B,
% multiply(c3,
% inverse(multiply(
% inverse(A),A))))))
% collapsed.
% Rule
% [585]
% multiply(C,inverse(multiply(B,multiply(A,multiply(C,inverse(multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(A,inverse(multiply(B,multiply(A,multiply(A,multiply(inverse(c3),c3))))))
% collapsed.
% Rule
% [772]
% multiply(c3,inverse(multiply(A,multiply(c3,multiply(c3,inverse(multiply(
% inverse(C),C)))))))
% <->
% multiply(multiply(inverse(c3),c3),inverse(multiply(A,multiply(c3,multiply(
% inverse(B),B)))))
% collapsed.
% Rule
% [774]
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(C),C)))))))
% <->
% multiply(multiply(inverse(A),A),inverse(multiply(B,multiply(c3,multiply(
% inverse(A),A)))))
% collapsed.
% Current number of equations to process: 3964
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [972]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(C),
% multiply(inverse(B),
% inverse(inverse(multiply(
% inverse(V_3),V_3))))))))
% -> C
% Current number of equations to process: 3956
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [973]
% multiply(A,multiply(B,inverse(multiply(inverse(C),multiply(A,multiply(B,
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))))
% -> C
% Current number of equations to process: 3955
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced :
% [974]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(multiply(inverse(c3),c3),
% inverse(multiply(inverse(C),C)))))
% -> multiply(inverse(A),multiply(inverse(A),A))
% Current number of equations to process: 3988
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced :
% [975]
% multiply(A,multiply(multiply(inverse(B),B),C)) <->
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(multiply(
% inverse(A),
% multiply(
% inverse(A),A))),C))
% Current number of equations to process: 3987
% Current number of ordered equations: 1
% Current number of rules: 419
% New rule produced :
% [976]
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(multiply(
% inverse(A),
% multiply(
% inverse(A),A))),C))
% <-> multiply(A,multiply(multiply(inverse(B),B),C))
% Current number of equations to process: 3987
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [977]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,multiply(C,
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <-> multiply(inverse(V_4),V_4)
% Rule
% [642]
% multiply(A,multiply(inverse(multiply(B,multiply(c3,A))),multiply(B,multiply(c3,
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% -> multiply(inverse(c3),c3) collapsed.
% Current number of equations to process: 3985
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [978]
% multiply(A,multiply(B,inverse(multiply(multiply(inverse(C),C),multiply(A,
% multiply(B,
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% <-> multiply(inverse(V_4),V_4)
% Current number of equations to process: 3982
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [979]
% multiply(c3,inverse(multiply(multiply(inverse(A),A),multiply(multiply(
% inverse(A),A),
% multiply(c3,multiply(
% inverse(c3),c3))))))
% -> multiply(inverse(c3),c3)
% Current number of equations to process: 3981
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [980]
% multiply(A,inverse(multiply(multiply(inverse(B),B),multiply(multiply(
% inverse(B),B),
% multiply(A,multiply(
% inverse(C),C))))))
% -> multiply(inverse(c3),c3)
% Rule
% [979]
% multiply(c3,inverse(multiply(multiply(inverse(A),A),multiply(multiply(
% inverse(A),A),
% multiply(c3,multiply(
% inverse(c3),c3))))))
% -> multiply(inverse(c3),c3) collapsed.
% Current number of equations to process: 3980
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [981]
% multiply(inverse(multiply(multiply(inverse(A),A),B)),multiply(multiply(
% inverse(C),C),V_3))
% <-> multiply(inverse(multiply(V_4,B)),multiply(V_4,V_3))
% Rule
% [501]
% multiply(inverse(multiply(multiply(inverse(c3),c3),A)),multiply(multiply(
% inverse(B),B),C))
% <-> multiply(inverse(multiply(V_3,A)),multiply(V_3,C)) collapsed.
% Current number of equations to process: 4044
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [982]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),B)),
% multiply(multiply(inverse(C),C),V_3)) <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,V_3))
% Rule
% [573]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),B)),
% multiply(multiply(inverse(c3),c3),C)) <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,C)) collapsed.
% Current number of equations to process: 4043
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [983]
% multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),B)),
% multiply(multiply(inverse(C),C),V_3)) <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,V_3))
% Rule
% [783]
% multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),B)),
% multiply(multiply(inverse(c3),c3),C)) <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,C)) collapsed.
% Current number of equations to process: 4042
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [984]
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(inverse(A),A)),
% inverse(multiply(inverse(B),multiply(
% inverse(c3),c3)))))
% -> B
% Current number of equations to process: 4049
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced :
% [985]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(c3),c3),inverse(
% multiply(
% inverse(B),
% multiply(
% inverse(c3),c3)))))
% -> B
% Current number of equations to process: 4088
% Current number of ordered equations: 1
% Current number of rules: 424
% New rule produced :
% [986]
% multiply(multiply(inverse(c3),c3),multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(B),
% multiply(
% inverse(c3),c3)))))
% -> B
% Current number of equations to process: 4088
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [987]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(
% multiply(c3,B)),
% multiply(c3,A)))))
% -> multiply(inverse(A),B)
% Current number of equations to process: 4107
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced :
% [988]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(B),B)))))
% -> C
% Rule
% [502]
% multiply(multiply(inverse(B),B),multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(B),B)))))
% -> C collapsed.
% Rule
% [985]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(c3),c3),inverse(
% multiply(
% inverse(B),
% multiply(
% inverse(c3),c3)))))
% -> B collapsed.
% Current number of equations to process: 4121
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [989]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(B),
% multiply(
% inverse(C),C)))))
% -> B
% Rule
% [505]
% multiply(multiply(inverse(c3),c3),multiply(multiply(inverse(c3),c3),inverse(
% multiply(
% inverse(A),
% multiply(
% inverse(B),B)))))
% -> A collapsed.
% Current number of equations to process: 4119
% Current number of ordered equations: 1
% Current number of rules: 425
% New rule produced :
% [990]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(A),A)))))
% -> C
% Rule
% [986]
% multiply(multiply(inverse(c3),c3),multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(B),
% multiply(
% inverse(c3),c3)))))
% -> B collapsed.
% Current number of equations to process: 4119
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [991]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(B),
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% -> B
% Current number of equations to process: 4117
% Current number of ordered equations: 1
% Current number of rules: 426
% New rule produced :
% [992]
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),
% multiply(inverse(B),B)))))
% -> C
% Rule
% [565]
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(multiply(inverse(c3),c3),
% inverse(multiply(inverse(B),
% multiply(inverse(c3),c3)))))
% -> B collapsed.
% Current number of equations to process: 4117
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced :
% [993]
% multiply(c3,multiply(inverse(multiply(c3,multiply(inverse(multiply(c3,
% multiply(c3,c3))),
% multiply(c3,multiply(c3,inverse(
% multiply(
% inverse(c3),
% multiply(
% inverse(A),A)))))))),B))
% -> multiply(multiply(inverse(A),A),multiply(multiply(inverse(A),A),B))
% Current number of equations to process: 4115
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [994]
% multiply(c3,multiply(inverse(multiply(inverse(A),A)),inverse(multiply(
% inverse(B),
% multiply(c3,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% -> B
% Rule
% [412]
% multiply(c3,multiply(inverse(multiply(inverse(A),A)),inverse(multiply(
% inverse(B),
% multiply(c3,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(A),A)))))))))
% -> B collapsed.
% Current number of equations to process: 4113
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [995]
% multiply(inverse(multiply(multiply(inverse(A),A),B)),multiply(inverse(
% multiply(c3,C)),
% multiply(c3,V_3))) ->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(C),V_3)))
% Current number of equations to process: 4110
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [996]
% multiply(inverse(multiply(inverse(multiply(c3,A)),multiply(c3,B))),multiply(
% multiply(
% inverse(C),C),V_3))
% -> multiply(inverse(multiply(c3,multiply(inverse(A),B))),multiply(c3,V_3))
% Current number of equations to process: 4109
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [997]
% multiply(c3,multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),
% inverse(multiply(inverse(B),multiply(c3,inverse(multiply(
% inverse(C),C)))))))
% -> B
% Current number of equations to process: 4108
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced :
% [998]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(C),
% multiply(inverse(B),
% inverse(inverse(inverse(
% multiply(
% inverse(V_3),V_3)))))))))
% -> C
% Current number of equations to process: 4105
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [999]
% multiply(B,multiply(inverse(multiply(multiply(inverse(C),C),multiply(
% multiply(
% inverse(C),C),B))),A))
% -> multiply(multiply(inverse(c3),c3),multiply(multiply(inverse(c3),c3),A))
% Current number of equations to process: 4104
% Current number of ordered equations: 0
% Current number of rules: 432
% New rule produced :
% [1000]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(multiply(inverse(c3),c3),
% inverse(inverse(multiply(inverse(C),C))))))
% -> multiply(inverse(A),multiply(inverse(A),A))
% Current number of equations to process: 4100
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [1001]
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),multiply(multiply(
% inverse(c3),c3),
% inverse(multiply(
% inverse(B),
% multiply(
% inverse(c3),c3)))))
% -> B
% Current number of equations to process: 4099
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced :
% [1002]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(B),
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B
% Current number of equations to process: 4096
% Current number of ordered equations: 1
% Current number of rules: 435
% New rule produced :
% [1003]
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),multiply(multiply(
% inverse(B),B),
% inverse(multiply(
% inverse(C),
% multiply(
% inverse(B),B)))))
% -> C
% Rule
% [1001]
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),multiply(multiply(
% inverse(c3),c3),
% inverse(multiply(
% inverse(B),
% multiply(
% inverse(c3),c3)))))
% -> B collapsed.
% Current number of equations to process: 4096
% Current number of ordered equations: 0
% Current number of rules: 435
% New rule produced :
% [1004]
% multiply(c3,multiply(inverse(inverse(multiply(inverse(A),A))),inverse(
% multiply(
% inverse(B),
% multiply(c3,
% multiply(
% inverse(C),C))))))
% -> B
% Rule
% [507]
% multiply(c3,multiply(inverse(inverse(multiply(inverse(A),A))),inverse(
% multiply(
% inverse(B),
% multiply(c3,
% multiply(
% inverse(c3),c3))))))
% -> B collapsed.
% Current number of equations to process: 4117
% Current number of ordered equations: 0
% Current number of rules: 435
% New rule produced :
% [1005]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(inverse(C),C)))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),multiply(inverse(V_3),V_3)))
% Rule
% [508]
% multiply(C,multiply(inverse(multiply(c3,multiply(A,C))),multiply(inverse(c3),c3)))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(inverse(B),B)))
% collapsed.
% Rule
% [938]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(inverse(C),C)))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),multiply(inverse(c3),c3)))
% collapsed.
% Current number of equations to process: 4274
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced :
% [1006]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),inverse(inverse(
% multiply(
% inverse(C),C)))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),multiply(inverse(V_3),V_3)))
% Rule
% [866]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),inverse(inverse(
% multiply(
% inverse(C),C)))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),multiply(inverse(c3),c3)))
% collapsed.
% Current number of equations to process: 4273
% Current number of ordered equations: 1
% Current number of rules: 434
% New rule produced :
% [1007]
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),multiply(inverse(V_3),V_3)))
% <->
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),inverse(inverse(
% multiply(
% inverse(C),C)))))
% Rule
% [867]
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),multiply(inverse(c3),c3)))
% <->
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),inverse(inverse(
% multiply(
% inverse(C),C)))))
% collapsed.
% Current number of equations to process: 4273
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced :
% [1008]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(inverse(C),C)))
% <->
% multiply(V_3,multiply(inverse(multiply(c3,multiply(B,V_3))),multiply(
% inverse(c3),c3)))
% Rule
% [509]
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(inverse(B),B)))
% <->
% multiply(C,multiply(inverse(multiply(c3,multiply(A,C))),multiply(inverse(c3),c3)))
% collapsed.
% Current number of equations to process: 4355
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced :
% [1009]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(c3),c3),
% inverse(multiply(inverse(B),
% multiply(inverse(C),C)))))
% -> B
% Rule
% [510]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(c3),c3),
% inverse(multiply(inverse(B),
% multiply(inverse(c3),c3)))))
% -> B collapsed.
% Current number of equations to process: 4370
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced :
% [1010]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(c3),c3),
% inverse(multiply(inverse(B),
% inverse(inverse(multiply(
% inverse(C),C)))))))
% -> B
% Current number of equations to process: 4369
% Current number of ordered equations: 0
% Current number of rules: 435
% New rule produced :
% [1011]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,multiply(C,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% <-> multiply(inverse(V_4),V_4)
% Rule
% [654]
% multiply(B,multiply(inverse(multiply(C,multiply(c3,B))),multiply(C,multiply(c3,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% <-> inverse(multiply(inverse(A),A)) collapsed.
% Current number of equations to process: 4400
% Current number of ordered equations: 0
% Current number of rules: 435
% New rule produced :
% [1012]
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(multiply(
% inverse(A),B))))))
% <-> multiply(inverse(multiply(c3,B)),multiply(c3,A))
% Current number of equations to process: 4398
% Current number of ordered equations: 1
% Current number of rules: 436
% New rule produced :
% [1013]
% multiply(inverse(multiply(c3,B)),multiply(c3,A)) <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(multiply(
% inverse(A),B))))))
% Current number of equations to process: 4398
% Current number of ordered equations: 0
% Current number of rules: 437
% New rule produced :
% [1014]
% multiply(A,multiply(inverse(multiply(c3,multiply(inverse(B),B))),inverse(
% multiply(
% inverse(C),C))))
% <->
% multiply(c3,multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),
% multiply(c3,multiply(c3,inverse(multiply(c3,multiply(
% inverse(A),c3))))))))
% Current number of equations to process: 4396
% Current number of ordered equations: 1
% Current number of rules: 438
% New rule produced :
% [1015]
% multiply(c3,multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),
% multiply(c3,multiply(c3,inverse(multiply(c3,multiply(
% inverse(A),c3))))))))
% <->
% multiply(A,multiply(inverse(multiply(c3,multiply(inverse(B),B))),inverse(
% multiply(
% inverse(C),C))))
% Current number of equations to process: 4396
% Current number of ordered equations: 0
% Current number of rules: 439
% New rule produced :
% [1016]
% inverse(multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(C,inverse(
% multiply(
% inverse(V_5),V_5))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,multiply(
% inverse(V_3),V_3))))))
% Rule
% [549]
% inverse(multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(C,inverse(
% multiply(
% inverse(V_4),V_4))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,multiply(
% inverse(c3),c3))))))
% collapsed.
% Current number of equations to process: 4395
% Current number of ordered equations: 1
% Current number of rules: 439
% New rule produced :
% [1017]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,multiply(
% inverse(V_3),V_3))))))
% <->
% inverse(multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(C,inverse(
% multiply(
% inverse(V_5),V_5))))))
% Rule
% [550]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,multiply(
% inverse(c3),c3))))))
% <->
% inverse(multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(C,inverse(
% multiply(
% inverse(V_4),V_4))))))
% collapsed.
% Current number of equations to process: 4395
% Current number of ordered equations: 0
% Current number of rules: 439
% New rule produced :
% [1018]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(multiply(
% inverse(C),C),
% multiply(inverse(B),
% multiply(inverse(B),B))))))
% <-> multiply(inverse(V_3),V_3)
% Current number of equations to process: 4394
% Current number of ordered equations: 0
% Current number of rules: 440
% New rule produced :
% [1019]
% inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(C,multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(V_4,inverse(multiply(inverse(B),multiply(C,multiply(V_4,inverse(
% multiply(
% inverse(V_5),V_5)))))))
% Rule
% [547]
% inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(C,multiply(
% inverse(c3),c3)))))
% <->
% multiply(V_3,inverse(multiply(inverse(B),multiply(C,multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% collapsed.
% Rule
% [683]
% inverse(multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(
% inverse(C),C)))))
% <->
% multiply(V_3,inverse(multiply(inverse(A),multiply(B,multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% collapsed.
% Rule
% [701]
% inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(A,multiply(
% inverse(C),C)))))
% <->
% multiply(V_3,inverse(multiply(inverse(B),multiply(A,multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% collapsed.
% Current number of equations to process: 4394
% Current number of ordered equations: 1
% Current number of rules: 438
% New rule produced :
% [1020]
% multiply(V_4,inverse(multiply(inverse(B),multiply(C,multiply(V_4,inverse(
% multiply(
% inverse(V_5),V_5)))))))
% <->
% inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(C,multiply(
% inverse(V_3),V_3)))))
% Rule
% [548]
% multiply(V_3,inverse(multiply(inverse(B),multiply(C,multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% <->
% inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(C,multiply(
% inverse(c3),c3)))))
% collapsed.
% Rule
% [684]
% multiply(V_3,inverse(multiply(inverse(A),multiply(B,multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% <->
% inverse(multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(
% inverse(C),C)))))
% collapsed.
% Current number of equations to process: 4394
% Current number of ordered equations: 0
% Current number of rules: 437
% New rule produced :
% [1021]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),B)),multiply(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))),V_3))
% <-> multiply(inverse(multiply(V_4,B)),multiply(V_4,V_3))
% Current number of equations to process: 4393
% Current number of ordered equations: 0
% Current number of rules: 438
% New rule produced :
% [1022]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(inverse(A),multiply(
% inverse(C),C))))
% <->
% multiply(multiply(inverse(c3),c3),multiply(inverse(A),multiply(inverse(A),
% multiply(inverse(B),B))))
% Current number of equations to process: 4386
% Current number of ordered equations: 1
% Current number of rules: 439
% New rule produced :
% [1023]
% multiply(multiply(inverse(c3),c3),multiply(inverse(A),multiply(inverse(A),
% multiply(inverse(B),B))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(inverse(A),multiply(
% inverse(C),C))))
% Current number of equations to process: 4386
% Current number of ordered equations: 0
% Current number of rules: 440
% New rule produced :
% [1024]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(c3),c3),
% inverse(multiply(inverse(multiply(c3,B)),
% multiply(c3,c3))))) ->
% multiply(inverse(c3),B)
% Current number of equations to process: 4383
% Current number of ordered equations: 0
% Current number of rules: 441
% New rule produced :
% [1025]
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(A),A)))))) <->
% multiply(B,multiply(inverse(B),multiply(inverse(B),B)))
% Current number of equations to process: 4423
% Current number of ordered equations: 1
% Current number of rules: 442
% New rule produced :
% [1026]
% multiply(B,multiply(inverse(B),multiply(inverse(B),B))) <->
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))))
% Rule
% [876]
% multiply(c3,multiply(inverse(c3),multiply(inverse(c3),c3))) <->
% multiply(inverse(B),B) collapsed.
% Current number of equations to process: 4423
% Current number of ordered equations: 0
% Current number of rules: 442
% New rule produced :
% [1027]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(B,
% multiply(B,
% multiply(inverse(A),A)))),C))
% -> multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),C))
% Current number of equations to process: 4433
% Current number of ordered equations: 0
% Current number of rules: 443
% New rule produced :
% [1028]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(B,
% multiply(c3,
% multiply(inverse(A),A)))),C))
% -> multiply(c3,multiply(inverse(multiply(B,multiply(c3,c3))),C))
% Current number of equations to process: 4432
% Current number of ordered equations: 0
% Current number of rules: 444
% New rule produced :
% [1029]
% multiply(multiply(inverse(c3),c3),inverse(multiply(inverse(multiply(A,B)),
% multiply(A,inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% -> B
% Current number of equations to process: 4437
% Current number of ordered equations: 0
% Current number of rules: 445
% New rule produced :
% [1030]
% multiply(inverse(multiply(multiply(inverse(c3),c3),inverse(multiply(inverse(A),A)))),B)
% -> multiply(inverse(multiply(inverse(A),A)),B)
% Current number of equations to process: 4469
% Current number of ordered equations: 0
% Current number of rules: 446
% New rule produced :
% [1031]
% multiply(inverse(multiply(multiply(inverse(c3),c3),multiply(multiply(
% inverse(c3),c3),
% inverse(inverse(multiply(
% inverse(A),A)))))),B)
% -> multiply(multiply(inverse(c3),c3),B)
% Current number of equations to process: 4498
% Current number of ordered equations: 0
% Current number of rules: 447
% New rule produced :
% [1032]
% multiply(inverse(B),B) <->
% multiply(multiply(inverse(c3),c3),inverse(multiply(inverse(A),A)))
% Current number of equations to process: 4507
% Current number of ordered equations: 1
% Current number of rules: 448
% Rule [1032]
% multiply(inverse(B),B) <->
% multiply(multiply(inverse(c3),c3),inverse(multiply(inverse(A),A))) is composed into 
% [1032] multiply(inverse(B),B) <-> multiply(inverse(c3),c3)
% New rule produced :
% [1033]
% multiply(multiply(inverse(c3),c3),inverse(multiply(inverse(A),A))) <->
% multiply(inverse(B),B)
% Rule
% [974]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(multiply(inverse(c3),c3),
% inverse(multiply(inverse(C),C)))))
% -> multiply(inverse(A),multiply(inverse(A),A)) collapsed.
% Rule
% [1030]
% multiply(inverse(multiply(multiply(inverse(c3),c3),inverse(multiply(inverse(A),A)))),B)
% -> multiply(inverse(multiply(inverse(A),A)),B) collapsed.
% Current number of equations to process: 4508
% Current number of ordered equations: 0
% Current number of rules: 447
% New rule produced :
% [1034]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,inverse(inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))))
% -> C
% Rule
% [512]
% multiply(multiply(inverse(c3),c3),inverse(multiply(inverse(multiply(A,B)),
% multiply(A,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B collapsed.
% Current number of equations to process: 4508
% Current number of ordered equations: 0
% Current number of rules: 447
% New rule produced :
% [1035]
% multiply(multiply(inverse(c3),c3),multiply(inverse(inverse(inverse(multiply(
% inverse(A),A)))),
% inverse(multiply(inverse(B),multiply(
% inverse(c3),c3)))))
% -> B
% Current number of equations to process: 4510
% Current number of ordered equations: 0
% Current number of rules: 448
% New rule produced :
% [1036]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(c3),c3)))))
% -> C
% Current number of equations to process: 4524
% Current number of ordered equations: 0
% Current number of rules: 449
% New rule produced :
% [1037]
% multiply(multiply(inverse(c3),c3),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(multiply(inverse(B),multiply(
% inverse(C),C)))))
% -> B
% Rule
% [513]
% multiply(multiply(inverse(c3),c3),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(multiply(inverse(B),multiply(
% inverse(c3),c3)))))
% -> B collapsed.
% Current number of equations to process: 4523
% Current number of ordered equations: 0
% Current number of rules: 449
% New rule produced :
% [1038]
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),
% multiply(inverse(c3),c3)))))
% -> C
% Current number of equations to process: 4522
% Current number of ordered equations: 0
% Current number of rules: 450
% New rule produced :
% [1039]
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),multiply(multiply(
% inverse(B),B),
% inverse(multiply(
% inverse(C),
% multiply(
% inverse(c3),c3)))))
% -> C
% Current number of equations to process: 4521
% Current number of ordered equations: 0
% Current number of rules: 451
% New rule produced :
% [1040]
% multiply(c3,multiply(multiply(inverse(A),A),inverse(multiply(inverse(B),
% multiply(c3,inverse(
% multiply(
% inverse(C),C)))))))
% -> B
% Current number of equations to process: 4549
% Current number of ordered equations: 0
% Current number of rules: 452
% New rule produced :
% [1041]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(B),
% multiply(
% inverse(V_3),V_3))))))
% -> C
% Rule
% [516]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(B),
% multiply(
% inverse(B),B))))))
% -> C collapsed.
% Current number of equations to process: 4609
% Current number of ordered equations: 0
% Current number of rules: 452
% New rule produced :
% [1042]
% multiply(multiply(A,multiply(inverse(B),B)),multiply(multiply(A,multiply(
% inverse(C),C)),V_3))
% <->
% multiply(multiply(A,multiply(A,V_4)),multiply(inverse(multiply(V_4,multiply(
% inverse(c3),c3))),V_3))
% Current number of equations to process: 4618
% Current number of ordered equations: 1
% Current number of rules: 453
% New rule produced :
% [1043]
% multiply(multiply(A,multiply(A,V_4)),multiply(inverse(multiply(V_4,multiply(
% inverse(c3),c3))),V_3))
% <->
% multiply(multiply(A,multiply(inverse(B),B)),multiply(multiply(A,multiply(
% inverse(C),C)),V_3))
% Current number of equations to process: 4618
% Current number of ordered equations: 0
% Current number of rules: 454
% New rule produced :
% [1044]
% multiply(multiply(C,multiply(V_3,V_6)),multiply(inverse(multiply(V_6,
% multiply(inverse(C),C))),V_4))
% <->
% multiply(multiply(C,multiply(V_3,B)),multiply(inverse(multiply(B,multiply(
% inverse(C),C))),V_4))
% Current number of equations to process: 4616
% Current number of ordered equations: 0
% Current number of rules: 455
% New rule produced :
% [1045]
% multiply(multiply(A,multiply(inverse(B),B)),multiply(multiply(C,multiply(
% inverse(C),C)),V_3))
% <->
% multiply(multiply(A,multiply(C,c3)),multiply(inverse(multiply(c3,multiply(
% inverse(C),C))),V_3))
% Current number of equations to process: 4614
% Current number of ordered equations: 1
% Current number of rules: 456
% New rule produced :
% [1046]
% multiply(multiply(A,multiply(C,c3)),multiply(inverse(multiply(c3,multiply(
% inverse(C),C))),V_3))
% <->
% multiply(multiply(A,multiply(inverse(B),B)),multiply(multiply(C,multiply(
% inverse(C),C)),V_3))
% Current number of equations to process: 4614
% Current number of ordered equations: 0
% Current number of rules: 457
% New rule produced :
% [1047]
% multiply(A,multiply(inverse(multiply(C,A)),inverse(inverse(inverse(inverse(
% multiply(
% inverse(A),A)))))))
% <-> multiply(c3,multiply(inverse(multiply(C,c3)),multiply(inverse(c3),c3)))
% Current number of equations to process: 4611
% Current number of ordered equations: 1
% Current number of rules: 458
% New rule produced :
% [1048]
% multiply(c3,multiply(inverse(multiply(C,c3)),multiply(inverse(c3),c3))) <->
% multiply(A,multiply(inverse(multiply(C,A)),inverse(inverse(inverse(inverse(
% multiply(
% inverse(A),A)))))))
% Current number of equations to process: 4611
% Current number of ordered equations: 0
% Current number of rules: 459
% New rule produced :
% [1049]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),multiply(inverse(c3),c3)))
% Current number of equations to process: 4610
% Current number of ordered equations: 1
% Current number of rules: 460
% New rule produced :
% [1050]
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),multiply(inverse(c3),c3)))
% <->
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))))
% Current number of equations to process: 4610
% Current number of ordered equations: 0
% Current number of rules: 461
% New rule produced :
% [1051]
% multiply(multiply(c3,multiply(inverse(c3),c3)),multiply(multiply(A,multiply(
% inverse(A),A)),B))
% <->
% multiply(multiply(c3,multiply(A,V_3)),multiply(inverse(multiply(V_3,multiply(
% inverse(c3),c3))),B))
% Current number of equations to process: 4609
% Current number of ordered equations: 1
% Current number of rules: 462
% New rule produced :
% [1052]
% multiply(multiply(c3,multiply(A,V_3)),multiply(inverse(multiply(V_3,multiply(
% inverse(c3),c3))),B))
% <->
% multiply(multiply(c3,multiply(inverse(c3),c3)),multiply(multiply(A,multiply(
% inverse(A),A)),B))
% Current number of equations to process: 4609
% Current number of ordered equations: 0
% Current number of rules: 463
% New rule produced :
% [1053]
% inverse(multiply(inverse(V_3),V_3)) <->
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(A),A),multiply(
% multiply(
% inverse(B),B),
% inverse(
% multiply(
% inverse(C),C)))))
% Current number of equations to process: 4607
% Current number of ordered equations: 1
% Current number of rules: 464
% Rule [1053]
% inverse(multiply(inverse(V_3),V_3)) <->
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(A),A),
% multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),C))))) is composed into 
% [1053]
% inverse(multiply(inverse(V_3),V_3)) <-> inverse(multiply(inverse(c3),c3))
% New rule produced :
% [1054]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(A),A),multiply(
% multiply(
% inverse(B),B),
% inverse(
% multiply(
% inverse(C),C)))))
% <-> inverse(multiply(inverse(V_3),V_3))
% Current number of equations to process: 4607
% Current number of ordered equations: 0
% Current number of rules: 465
% New rule produced :
% [1055]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),B)),multiply(
% inverse(
% multiply(c3,C)),
% multiply(c3,V_3)))
% -> multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(C),V_3)))
% Current number of equations to process: 4606
% Current number of ordered equations: 0
% Current number of rules: 466
% New rule produced :
% [1056]
% multiply(inverse(multiply(inverse(multiply(c3,A)),multiply(c3,B))),multiply(
% inverse(
% multiply(
% inverse(C),C)),V_3))
% -> multiply(inverse(multiply(c3,multiply(inverse(A),B))),multiply(c3,V_3))
% Current number of equations to process: 4605
% Current number of ordered equations: 0
% Current number of rules: 467
% New rule produced :
% [1057]
% multiply(inverse(multiply(inverse(multiply(c3,C)),multiply(c3,V_3))),
% multiply(inverse(multiply(inverse(V_3),C)),B)) <->
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(A),A),B))
% Current number of equations to process: 4604
% Current number of ordered equations: 0
% Current number of rules: 468
% New rule produced :
% [1058]
% inverse(multiply(A,multiply(c3,multiply(inverse(inverse(multiply(inverse(C),C))),
% inverse(inverse(multiply(inverse(V_3),V_3)))))))
% <-> inverse(multiply(A,multiply(c3,multiply(inverse(B),B))))
% Current number of equations to process: 4603
% Current number of ordered equations: 0
% Current number of rules: 469
% New rule produced :
% [1059]
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),multiply(c3,C))
% <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(multiply(A,
% inverse(
% multiply(
% inverse(V_3),V_3)))),C))
% Current number of equations to process: 4602
% Current number of ordered equations: 1
% Current number of rules: 470
% New rule produced :
% [1060]
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(multiply(A,
% inverse(
% multiply(
% inverse(V_3),V_3)))),C))
% <->
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),multiply(c3,C))
% Current number of equations to process: 4602
% Current number of ordered equations: 0
% Current number of rules: 471
% New rule produced :
% [1061]
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(multiply(c3,
% inverse(
% multiply(
% inverse(V_3),V_3)))),C))
% <->
% multiply(inverse(multiply(A,multiply(c3,multiply(inverse(B),B)))),multiply(A,C))
% Current number of equations to process: 4601
% Current number of ordered equations: 1
% Current number of rules: 472
% New rule produced :
% [1062]
% multiply(inverse(multiply(A,multiply(c3,multiply(inverse(B),B)))),multiply(A,C))
% <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(multiply(c3,
% inverse(
% multiply(
% inverse(V_3),V_3)))),C))
% Current number of equations to process: 4601
% Current number of ordered equations: 0
% Current number of rules: 473
% New rule produced :
% [1063]
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,multiply(inverse(V_4),V_4))))))
% <->
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(B,
% multiply(c3,
% multiply(inverse(C),C)))))
% Current number of equations to process: 4600
% Current number of ordered equations: 1
% Current number of rules: 474
% New rule produced :
% [1064]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(B,
% multiply(c3,
% multiply(inverse(C),C)))))
% <->
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,multiply(inverse(V_4),V_4))))))
% Current number of equations to process: 4600
% Current number of ordered equations: 0
% Current number of rules: 475
% New rule produced :
% [1065]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(B),inverse(
% multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(multiply(inverse(A),A),multiply(inverse(B),multiply(inverse(B),
% multiply(inverse(C),C))))
% Current number of equations to process: 4599
% Current number of ordered equations: 1
% Current number of rules: 476
% New rule produced :
% [1066]
% multiply(multiply(inverse(A),A),multiply(inverse(B),multiply(inverse(B),
% multiply(inverse(C),C))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(B),inverse(
% multiply(
% inverse(V_3),V_3)))))
% Current number of equations to process: 4599
% Current number of ordered equations: 0
% Current number of rules: 477
% New rule produced :
% [1067]
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),multiply(inverse(B),
% inverse(multiply(
% inverse(C),
% multiply(
% inverse(B),
% multiply(
% inverse(B),B))))))
% -> C
% Current number of equations to process: 4598
% Current number of ordered equations: 0
% Current number of rules: 478
% New rule produced :
% [1068]
% multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))))))
% -> C
% Current number of equations to process: 4596
% Current number of ordered equations: 0
% Current number of rules: 479
% New rule produced :
% [1069]
% inverse(multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))
% -> B
% Current number of equations to process: 4595
% Current number of ordered equations: 0
% Current number of rules: 480
% New rule produced :
% [1070]
% multiply(inverse(inverse(multiply(inverse(A),multiply(inverse(B),B)))),
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))))) ->
% multiply(inverse(A),multiply(inverse(c3),c3))
% Current number of equations to process: 4591
% Current number of ordered equations: 0
% Current number of rules: 481
% New rule produced :
% [1071]
% multiply(c3,multiply(inverse(inverse(inverse(inverse(inverse(multiply(
% inverse(A),A)))))),
% inverse(multiply(inverse(B),multiply(c3,multiply(inverse(c3),c3))))))
% -> B
% Current number of equations to process: 4590
% Current number of ordered equations: 0
% Current number of rules: 482
% New rule produced :
% [1072]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),multiply(inverse(V_3),V_3)))
% Rule
% [1049]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),multiply(inverse(c3),c3)))
% collapsed.
% Current number of equations to process: 4589
% Current number of ordered equations: 1
% Current number of rules: 482
% New rule produced :
% [1073]
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),multiply(inverse(V_3),V_3)))
% <->
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))))
% Rule
% [1050]
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),multiply(inverse(c3),c3)))
% <->
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))))
% collapsed.
% Current number of equations to process: 4589
% Current number of ordered equations: 0
% Current number of rules: 482
% New rule produced :
% [1074]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(c3),c3),
% inverse(multiply(inverse(B),
% inverse(inverse(inverse(
% multiply(
% inverse(C),C))))))))
% -> B
% Current number of equations to process: 4587
% Current number of ordered equations: 1
% Current number of rules: 483
% New rule produced :
% [1075]
% multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),multiply(
% multiply(
% inverse(c3),c3),
% inverse(
% multiply(
% inverse(B),
% multiply(
% inverse(c3),c3)))))
% -> B
% Current number of equations to process: 4587
% Current number of ordered equations: 0
% Current number of rules: 484
% New rule produced :
% [1076]
% multiply(multiply(inverse(c3),c3),inverse(multiply(inverse(multiply(A,B)),
% multiply(A,inverse(inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% -> B
% Current number of equations to process: 4586
% Current number of ordered equations: 0
% Current number of rules: 485
% New rule produced :
% [1077]
% multiply(multiply(inverse(c3),c3),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(multiply(inverse(B),inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% -> B
% Current number of equations to process: 4584
% Current number of ordered equations: 1
% Current number of rules: 486
% New rule produced :
% [1078]
% multiply(multiply(inverse(c3),c3),multiply(inverse(inverse(inverse(inverse(
% multiply(
% inverse(A),A))))),
% inverse(multiply(inverse(B),multiply(
% inverse(c3),c3)))))
% -> B
% Current number of equations to process: 4584
% Current number of ordered equations: 0
% Current number of rules: 487
% New rule produced :
% [1079]
% multiply(c3,multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),
% inverse(multiply(inverse(B),multiply(c3,inverse(multiply(
% inverse(C),C)))))))
% -> B
% Current number of equations to process: 4583
% Current number of ordered equations: 0
% Current number of rules: 488
% New rule produced :
% [1080]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(B),
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% -> C
% Current number of equations to process: 4581
% Current number of ordered equations: 0
% Current number of rules: 489
% New rule produced :
% [1081]
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(multiply(
% multiply(
% inverse(c3),c3),A))))))
% <-> multiply(inverse(A),multiply(inverse(A),A))
% Current number of equations to process: 4588
% Current number of ordered equations: 1
% Current number of rules: 490
% New rule produced :
% [1082]
% multiply(inverse(A),multiply(inverse(A),A)) <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(multiply(
% multiply(
% inverse(c3),c3),A))))))
% Current number of equations to process: 4588
% Current number of ordered equations: 0
% Current number of rules: 491
% New rule produced :
% [1083]
% multiply(inverse(multiply(inverse(inverse(inverse(inverse(inverse(multiply(
% inverse(A),A)))))),B)),
% inverse(multiply(inverse(C),C))) ->
% multiply(inverse(B),multiply(inverse(B),B))
% Current number of equations to process: 4599
% Current number of ordered equations: 0
% Current number of rules: 492
% New rule produced :
% [1084]
% multiply(inverse(multiply(multiply(inverse(A),A),B)),inverse(multiply(
% inverse(C),C)))
% -> multiply(inverse(B),multiply(inverse(B),B))
% Current number of equations to process: 4604
% Current number of ordered equations: 0
% Current number of rules: 493
% New rule produced :
% [1085]
% multiply(inverse(multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),B)),
% inverse(multiply(inverse(C),C))) ->
% multiply(inverse(B),multiply(inverse(B),B))
% Current number of equations to process: 4603
% Current number of ordered equations: 0
% Current number of rules: 494
% New rule produced :
% [1086]
% multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% -> C
% Rule
% [519]
% multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(A),A))))))))
% -> C collapsed.
% Current number of equations to process: 4662
% Current number of ordered equations: 0
% Current number of rules: 494
% New rule produced :
% [1087]
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(B),
% inverse(multiply(inverse(C),
% multiply(inverse(B),
% multiply(inverse(V_3),V_3))))))
% -> C
% Rule
% [521]
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(B),
% inverse(multiply(inverse(C),
% multiply(inverse(B),
% multiply(inverse(B),B))))))
% -> C collapsed.
% Current number of equations to process: 4722
% Current number of ordered equations: 0
% Current number of rules: 494
% New rule produced :
% [1088]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(inverse(
% multiply(A,C)),
% multiply(inverse(c3),c3))),V_3))
% <-> multiply(multiply(A,multiply(inverse(B),B)),multiply(C,V_3))
% Current number of equations to process: 4730
% Current number of ordered equations: 0
% Current number of rules: 495
% New rule produced :
% [1089]
% multiply(A,inverse(multiply(multiply(inverse(B),B),multiply(multiply(
% inverse(B),B),
% multiply(A,inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% -> multiply(inverse(c3),c3)
% Current number of equations to process: 4729
% Current number of ordered equations: 0
% Current number of rules: 496
% New rule produced :
% [1090]
% multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),A)) <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(multiply(
% inverse(A),
% multiply(B,
% multiply(B,
% inverse(
% multiply(
% inverse(C),C))))))))))
% Current number of equations to process: 4728
% Current number of ordered equations: 1
% Current number of rules: 497
% New rule produced :
% [1091]
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(multiply(
% inverse(A),
% multiply(B,
% multiply(B,
% inverse(
% multiply(
% inverse(C),C))))))))))
% <-> multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),A))
% Current number of equations to process: 4728
% Current number of ordered equations: 0
% Current number of rules: 498
% New rule produced :
% [1092]
% multiply(inverse(B),A) <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(multiply(
% inverse(
% inverse(
% multiply(
% inverse(A),
% multiply(
% inverse(A),A)))),B))))))
% Current number of equations to process: 4727
% Current number of ordered equations: 1
% Current number of rules: 499
% New rule produced :
% [1093]
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(multiply(
% inverse(
% inverse(
% multiply(
% inverse(A),
% multiply(
% inverse(A),A)))),B))))))
% <-> multiply(inverse(B),A)
% Current number of equations to process: 4727
% Current number of ordered equations: 0
% Current number of rules: 500
% New rule produced :
% [1094]
% inverse(multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(C,inverse(
% inverse(
% multiply(
% inverse(V_5),V_5)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,multiply(
% inverse(V_3),V_3))))))
% Rule
% [620]
% inverse(multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(C,inverse(
% inverse(
% multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,multiply(
% inverse(c3),c3))))))
% collapsed.
% Current number of equations to process: 4725
% Current number of ordered equations: 1
% Current number of rules: 500
% New rule produced :
% [1095]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,multiply(
% inverse(V_3),V_3))))))
% <->
% inverse(multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(C,inverse(
% inverse(
% multiply(
% inverse(V_5),V_5)))))))
% Rule
% [621]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,multiply(
% inverse(c3),c3))))))
% <->
% inverse(multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(C,inverse(
% inverse(
% multiply(
% inverse(V_4),V_4)))))))
% collapsed.
% Current number of equations to process: 4725
% Current number of ordered equations: 0
% Current number of rules: 500
% New rule produced :
% [1096]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(B),multiply(
% inverse(V_3),V_3))))
% <->
% multiply(multiply(inverse(A),A),multiply(inverse(B),multiply(inverse(B),
% inverse(multiply(
% inverse(C),C)))))
% Current number of equations to process: 4724
% Current number of ordered equations: 1
% Current number of rules: 501
% New rule produced :
% [1097]
% multiply(multiply(inverse(A),A),multiply(inverse(B),multiply(inverse(B),
% inverse(multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(B),multiply(
% inverse(V_3),V_3))))
% Current number of equations to process: 4724
% Current number of ordered equations: 0
% Current number of rules: 502
% New rule produced :
% [1098]
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(inverse(multiply(inverse(A),A)),inverse(multiply(B,multiply(c3,
% inverse(multiply(
% inverse(C),C))))))
% Current number of equations to process: 4723
% Current number of ordered equations: 1
% Current number of rules: 503
% New rule produced :
% [1099]
% multiply(inverse(multiply(inverse(A),A)),inverse(multiply(B,multiply(c3,
% inverse(multiply(
% inverse(C),C))))))
% <->
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(V_3),V_3)))))))
% Current number of equations to process: 4723
% Current number of ordered equations: 0
% Current number of rules: 504
% New rule produced :
% [1100]
% multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),B)),
% multiply(inverse(inverse(multiply(inverse(C),C))),V_3)) <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,V_3))
% Current number of equations to process: 4722
% Current number of ordered equations: 0
% Current number of rules: 505
% New rule produced :
% [1101]
% multiply(inverse(B),B) <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(A),A)))))))))
% Current number of equations to process: 4715
% Current number of ordered equations: 1
% Current number of rules: 506
% Rule [1101]
% multiply(inverse(B),B) <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(A),A))))))))) is composed into 
% [1101] multiply(inverse(B),B) <-> multiply(inverse(c3),c3)
% New rule produced :
% [1102]
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(A),A)))))))))
% <-> multiply(inverse(B),B)
% Current number of equations to process: 4715
% Current number of ordered equations: 0
% Current number of rules: 507
% New rule produced :
% [1103]
% multiply(c3,multiply(inverse(inverse(multiply(inverse(A),A))),inverse(
% multiply(
% multiply(
% inverse(B),B),
% multiply(c3,
% multiply(
% inverse(c3),c3))))))
% <-> multiply(inverse(C),C)
% Current number of equations to process: 4711
% Current number of ordered equations: 0
% Current number of rules: 508
% New rule produced :
% [1104]
% multiply(multiply(inverse(c3),c3),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(multiply(inverse(multiply(c3,B)),
% multiply(c3,c3))))) ->
% multiply(inverse(c3),B)
% Current number of equations to process: 4710
% Current number of ordered equations: 0
% Current number of rules: 509
% New rule produced :
% [1105]
% multiply(inverse(multiply(multiply(inverse(A),A),B)),multiply(inverse(
% inverse(
% multiply(
% inverse(C),C))),V_3))
% <-> multiply(inverse(multiply(V_4,B)),multiply(V_4,V_3))
% Current number of equations to process: 4736
% Current number of ordered equations: 0
% Current number of rules: 510
% New rule produced :
% [1106]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),B)),
% multiply(inverse(multiply(inverse(C),C)),V_3)) <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,V_3))
% Current number of equations to process: 4734
% Current number of ordered equations: 2
% Current number of rules: 511
% New rule produced :
% [1107]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),B)),multiply(
% inverse(
% inverse(
% multiply(
% inverse(C),C))),V_3))
% <-> multiply(inverse(multiply(V_4,B)),multiply(V_4,V_3))
% Current number of equations to process: 4734
% Current number of ordered equations: 0
% Current number of rules: 512
% New rule produced :
% [1108]
% multiply(inverse(multiply(inverse(inverse(inverse(inverse(inverse(inverse(
% multiply(
% inverse(A),A))))))),B)),
% inverse(multiply(inverse(C),C))) ->
% multiply(inverse(B),multiply(inverse(B),B))
% Current number of equations to process: 4748
% Current number of ordered equations: 0
% Current number of rules: 513
% New rule produced :
% [1109]
% multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),B)),
% inverse(inverse(inverse(inverse(multiply(inverse(C),C)))))) ->
% multiply(inverse(B),multiply(inverse(B),B))
% Current number of equations to process: 4751
% Current number of ordered equations: 0
% Current number of rules: 514
% New rule produced :
% [1110]
% multiply(multiply(inverse(c3),c3),multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(B),
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% -> B
% Current number of equations to process: 4753
% Current number of ordered equations: 0
% Current number of rules: 515
% New rule produced :
% [1111]
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),
% inverse(multiply(
% inverse(V_3),V_3))))))
% -> C
% Current number of equations to process: 4752
% Current number of ordered equations: 0
% Current number of rules: 516
% New rule produced :
% [1112]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),
% multiply(inverse(c3),c3)))))
% -> C
% Current number of equations to process: 4757
% Current number of ordered equations: 1
% Current number of rules: 517
% New rule produced :
% [1113]
% multiply(multiply(inverse(c3),c3),multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(B),
% inverse(
% multiply(
% inverse(C),C))))))
% -> B
% Current number of equations to process: 4757
% Current number of ordered equations: 0
% Current number of rules: 518
% New rule produced :
% [1114]
% multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),multiply(
% multiply(
% inverse(B),B),
% inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(c3),c3)))))
% -> C
% Rule
% [1075]
% multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),multiply(
% multiply(
% inverse(c3),c3),
% inverse(
% multiply(
% inverse(B),
% multiply(
% inverse(c3),c3)))))
% -> B collapsed.
% Current number of equations to process: 4768
% Current number of ordered equations: 1
% Current number of rules: 518
% New rule produced :
% [1115]
% multiply(multiply(inverse(c3),c3),multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(B),
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% -> B
% Current number of equations to process: 4768
% Current number of ordered equations: 0
% Current number of rules: 519
% New rule produced :
% [1116]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),C)))) ->
% inverse(multiply(inverse(A),A))
% Current number of equations to process: 4779
% Current number of ordered equations: 0
% Current number of rules: 520
% New rule produced :
% [1117]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(C),
% inverse(
% multiply(
% inverse(V_3),V_3))))))
% -> C
% Rule
% [1113]
% multiply(multiply(inverse(c3),c3),multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(B),
% inverse(
% multiply(
% inverse(C),C))))))
% -> B collapsed.
% Current number of equations to process: 4777
% Current number of ordered equations: 1
% Current number of rules: 520
% New rule produced :
% [1118]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),
% multiply(inverse(V_3),V_3)))))
% -> C
% Rule
% [1009]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(c3),c3),
% inverse(multiply(inverse(B),
% multiply(inverse(C),C)))))
% -> B collapsed.
% Rule
% [1112]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),
% multiply(inverse(c3),c3)))))
% -> C collapsed.
% Current number of equations to process: 4777
% Current number of ordered equations: 0
% Current number of rules: 519
% New rule produced :
% [1119]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),
% inverse(multiply(inverse(V_3),V_3))))))
% -> C
% Rule
% [526]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),
% inverse(multiply(inverse(A),A))))))
% -> C collapsed.
% Current number of equations to process: 4776
% Current number of ordered equations: 0
% Current number of rules: 519
% New rule produced :
% [1120]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),
% inverse(inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))))
% -> C
% Rule
% [1074]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(c3),c3),
% inverse(multiply(inverse(B),
% inverse(inverse(inverse(
% multiply(
% inverse(C),C))))))))
% -> B collapsed.
% Current number of equations to process: 4774
% Current number of ordered equations: 1
% Current number of rules: 519
% New rule produced :
% [1121]
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),multiply(multiply(
% inverse(B),B),
% inverse(multiply(
% inverse(C),
% inverse(
% multiply(
% inverse(V_3),V_3))))))
% -> C
% Current number of equations to process: 4774
% Current number of ordered equations: 0
% Current number of rules: 520
% New rule produced :
% [1122]
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(multiply(
% multiply(
% inverse(B),B),A))))))
% <-> multiply(inverse(A),multiply(inverse(A),A))
% Rule
% [1081]
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(multiply(
% multiply(
% inverse(c3),c3),A))))))
% <-> multiply(inverse(A),multiply(inverse(A),A)) collapsed.
% Current number of equations to process: 4914
% Current number of ordered equations: 1
% Current number of rules: 520
% New rule produced :
% [1123]
% multiply(inverse(A),multiply(inverse(A),A)) <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(multiply(
% multiply(
% inverse(B),B),A))))))
% Rule
% [1082]
% multiply(inverse(A),multiply(inverse(A),A)) <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(multiply(
% multiply(
% inverse(c3),c3),A))))))
% collapsed.
% Current number of equations to process: 4914
% Current number of ordered equations: 0
% Current number of rules: 520
% New rule produced :
% [1124]
% multiply(A,inverse(multiply(multiply(inverse(B),B),multiply(c3,multiply(A,
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% -> multiply(inverse(c3),multiply(inverse(c3),c3))
% Current number of equations to process: 4944
% Current number of ordered equations: 0
% Current number of rules: 521
% New rule produced :
% [1125]
% multiply(multiply(A,B),multiply(inverse(multiply(C,multiply(inverse(V_3),V_3))),V_4))
% <->
% multiply(multiply(A,V_5),multiply(inverse(multiply(C,multiply(inverse(
% multiply(c3,B)),
% multiply(c3,V_5)))),V_4))
% Current number of equations to process: 4942
% Current number of ordered equations: 1
% Current number of rules: 522
% New rule produced :
% [1126]
% multiply(multiply(A,V_5),multiply(inverse(multiply(C,multiply(inverse(
% multiply(c3,B)),
% multiply(c3,V_5)))),V_4))
% <->
% multiply(multiply(A,B),multiply(inverse(multiply(C,multiply(inverse(V_3),V_3))),V_4))
% Rule
% [392]
% multiply(multiply(C,V_5),multiply(inverse(multiply(B,multiply(inverse(
% multiply(c3,V_3)),
% multiply(c3,V_5)))),V_4))
% <->
% multiply(multiply(C,V_3),multiply(inverse(multiply(B,multiply(inverse(C),C))),V_4))
% collapsed.
% Current number of equations to process: 4942
% Current number of ordered equations: 0
% Current number of rules: 522
% New rule produced :
% [1127]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(B),inverse(
% multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),multiply(
% inverse(B),
% multiply(
% inverse(C),C))))
% Current number of equations to process: 4941
% Current number of ordered equations: 1
% Current number of rules: 523
% New rule produced :
% [1128]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),multiply(
% inverse(B),
% multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(B),inverse(
% multiply(
% inverse(V_3),V_3)))))
% Current number of equations to process: 4941
% Current number of ordered equations: 0
% Current number of rules: 524
% New rule produced :
% [1129]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),multiply(
% multiply(
% inverse(B),B),C)))
% <->
% multiply(inverse(multiply(c3,multiply(V_3,multiply(inverse(V_4),V_4)))),
% multiply(c3,multiply(V_3,C)))
% Rule
% [725]
% multiply(multiply(inverse(V_3),V_3),multiply(multiply(inverse(V_3),V_3),
% multiply(multiply(inverse(V_3),V_3),C)))
% <->
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),multiply(c3,
% multiply(A,C)))
% collapsed.
% Current number of equations to process: 4939
% Current number of ordered equations: 1
% Current number of rules: 524
% New rule produced :
% [1130]
% multiply(inverse(multiply(c3,multiply(V_3,multiply(inverse(V_4),V_4)))),
% multiply(c3,multiply(V_3,C))) <->
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),multiply(
% multiply(
% inverse(B),B),C)))
% Rule
% [724]
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),multiply(c3,
% multiply(A,C)))
% <->
% multiply(multiply(inverse(V_3),V_3),multiply(multiply(inverse(V_3),V_3),
% multiply(multiply(inverse(V_3),V_3),C)))
% collapsed.
% Current number of equations to process: 4939
% Current number of ordered equations: 0
% Current number of rules: 524
% New rule produced :
% [1131]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(B),inverse(
% multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(multiply(inverse(A),A),multiply(inverse(B),multiply(inverse(B),
% inverse(multiply(
% inverse(C),C)))))
% Current number of equations to process: 4938
% Current number of ordered equations: 1
% Current number of rules: 525
% New rule produced :
% [1132]
% multiply(multiply(inverse(A),A),multiply(inverse(B),multiply(inverse(B),
% inverse(multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(B),inverse(
% multiply(
% inverse(V_3),V_3)))))
% Current number of equations to process: 4938
% Current number of ordered equations: 0
% Current number of rules: 526
% New rule produced :
% [1133]
% multiply(inverse(multiply(c3,V_5)),multiply(c3,multiply(inverse(multiply(C,
% multiply(V_3,
% inverse(V_5)))),V_4)))
% <->
% multiply(multiply(inverse(A),A),multiply(B,multiply(inverse(multiply(C,
% multiply(V_3,B))),V_4)))
% Current number of equations to process: 4937
% Current number of ordered equations: 1
% Current number of rules: 527
% New rule produced :
% [1134]
% multiply(multiply(inverse(A),A),multiply(B,multiply(inverse(multiply(C,
% multiply(V_3,B))),V_4)))
% <->
% multiply(inverse(multiply(c3,V_5)),multiply(c3,multiply(inverse(multiply(C,
% multiply(V_3,
% inverse(V_5)))),V_4)))
% Current number of equations to process: 4937
% Current number of ordered equations: 0
% Current number of rules: 528
% New rule produced :
% [1135]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(C,multiply(C,multiply(
% inverse(V_4),V_4)))))
% <->
% multiply(multiply(inverse(A),A),multiply(inverse(B),multiply(C,multiply(C,
% multiply(
% inverse(V_3),V_3)))))
% Current number of equations to process: 4936
% Current number of ordered equations: 1
% Current number of rules: 529
% New rule produced :
% [1136]
% multiply(multiply(inverse(A),A),multiply(inverse(B),multiply(C,multiply(C,
% multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(C,multiply(C,multiply(
% inverse(V_4),V_4)))))
% Current number of equations to process: 4936
% Current number of ordered equations: 0
% Current number of rules: 530
% New rule produced :
% [1137]
% multiply(c3,multiply(inverse(multiply(inverse(A),A)),inverse(multiply(
% inverse(B),
% multiply(c3,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))
% -> B
% Current number of equations to process: 4935
% Current number of ordered equations: 0
% Current number of rules: 531
% New rule produced :
% [1138]
% multiply(c3,multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),
% inverse(multiply(inverse(B),multiply(c3,inverse(inverse(multiply(
% inverse(C),C))))))))
% -> B
% Current number of equations to process: 4934
% Current number of ordered equations: 0
% Current number of rules: 532
% New rule produced :
% [1139]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,multiply(inverse(V_3),V_3))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% Current number of equations to process: 4929
% Current number of ordered equations: 3
% Current number of rules: 533
% New rule produced :
% [1140]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,multiply(inverse(V_3),V_3))))
% Current number of equations to process: 4929
% Current number of ordered equations: 2
% Current number of rules: 534
% New rule produced :
% [1141]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% <->
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,multiply(inverse(V_4),V_4))))))
% Current number of equations to process: 4928
% Current number of ordered equations: 3
% Current number of rules: 535
% New rule produced :
% [1142]
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,multiply(inverse(V_4),V_4))))))
% <->
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% Current number of equations to process: 4928
% Current number of ordered equations: 2
% Current number of rules: 536
% New rule produced :
% [1143]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),multiply(inverse(c3),c3)))
% Current number of equations to process: 4927
% Current number of ordered equations: 3
% Current number of rules: 537
% New rule produced :
% [1144]
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),multiply(inverse(c3),c3)))
% <->
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% Current number of equations to process: 4927
% Current number of ordered equations: 2
% Current number of rules: 538
% New rule produced :
% [1145]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(inverse(A),inverse(
% inverse(
% multiply(
% inverse(C),C))))))
% <->
% multiply(multiply(inverse(c3),c3),multiply(inverse(A),multiply(inverse(A),
% multiply(inverse(B),B))))
% Current number of equations to process: 4926
% Current number of ordered equations: 3
% Current number of rules: 539
% New rule produced :
% [1146]
% multiply(multiply(inverse(c3),c3),multiply(inverse(A),multiply(inverse(A),
% multiply(inverse(B),B))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(inverse(A),inverse(
% inverse(
% multiply(
% inverse(C),C))))))
% Current number of equations to process: 4926
% Current number of ordered equations: 2
% Current number of rules: 540
% New rule produced :
% [1147]
% inverse(multiply(inverse(multiply(B,multiply(multiply(inverse(c3),c3),A))),
% multiply(B,multiply(multiply(inverse(C),C),inverse(multiply(inverse(V_3),V_3))))))
% -> A
% Current number of equations to process: 4925
% Current number of ordered equations: 2
% Current number of rules: 541
% New rule produced :
% [1148]
% multiply(inverse(multiply(B,multiply(multiply(inverse(c3),c3),inverse(
% inverse(
% multiply(
% inverse(C),C)))))),
% multiply(B,A)) ->
% multiply(multiply(inverse(c3),c3),multiply(multiply(inverse(c3),c3),A))
% Current number of equations to process: 4924
% Current number of ordered equations: 2
% Current number of rules: 542
% New rule produced :
% [1149]
% inverse(multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(inverse(C),
% multiply(inverse(C),C)))))
% <->
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(B),multiply(
% inverse(C),
% multiply(
% inverse(C),C)))))
% Current number of equations to process: 4923
% Current number of ordered equations: 3
% Current number of rules: 543
% New rule produced :
% [1150]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(B),multiply(
% inverse(C),
% multiply(
% inverse(C),C)))))
% <->
% inverse(multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(inverse(C),
% multiply(inverse(C),C)))))
% Current number of equations to process: 4923
% Current number of ordered equations: 2
% Current number of rules: 544
% New rule produced :
% [1151]
% multiply(inverse(inverse(inverse(inverse(inverse(multiply(inverse(A),A)))))),
% multiply(multiply(inverse(c3),c3),inverse(multiply(inverse(B),multiply(
% inverse(c3),c3)))))
% -> B
% Current number of equations to process: 4920
% Current number of ordered equations: 2
% Current number of rules: 545
% New rule produced :
% [1152]
% multiply(A,multiply(A,inverse(multiply(inverse(C),C)))) <->
% multiply(multiply(inverse(c3),c3),inverse(multiply(c3,multiply(inverse(
% multiply(A,
% multiply(A,c3))),
% multiply(inverse(B),B)))))
% Current number of equations to process: 4918
% Current number of ordered equations: 3
% Current number of rules: 546
% Rule [1152]
% multiply(A,multiply(A,inverse(multiply(inverse(C),C)))) <->
% multiply(multiply(inverse(c3),c3),inverse(multiply(c3,multiply(inverse(
% multiply(A,
% multiply(A,c3))),
% multiply(inverse(B),B))))) is composed into 
% [1152]
% multiply(A,multiply(A,inverse(multiply(inverse(C),C)))) <->
% multiply(A,multiply(A,inverse(multiply(inverse(c3),c3))))
% New rule produced :
% [1153]
% multiply(multiply(inverse(c3),c3),inverse(multiply(c3,multiply(inverse(
% multiply(A,
% multiply(A,c3))),
% multiply(inverse(B),B)))))
% <-> multiply(A,multiply(A,inverse(multiply(inverse(C),C))))
% Current number of equations to process: 4918
% Current number of ordered equations: 2
% Current number of rules: 547
% New rule produced :
% [1154]
% multiply(c3,multiply(A,inverse(multiply(inverse(C),C)))) <->
% multiply(multiply(inverse(c3),c3),inverse(multiply(c3,multiply(inverse(
% multiply(c3,
% multiply(A,c3))),
% multiply(inverse(B),B)))))
% Current number of equations to process: 4917
% Current number of ordered equations: 3
% Current number of rules: 548
% Rule [1154]
% multiply(c3,multiply(A,inverse(multiply(inverse(C),C)))) <->
% multiply(multiply(inverse(c3),c3),inverse(multiply(c3,multiply(inverse(
% multiply(c3,
% multiply(A,c3))),
% multiply(inverse(B),B))))) is composed into 
% [1154]
% multiply(c3,multiply(A,inverse(multiply(inverse(C),C)))) <->
% multiply(c3,multiply(A,inverse(multiply(inverse(c3),c3))))
% New rule produced :
% [1155]
% multiply(multiply(inverse(c3),c3),inverse(multiply(c3,multiply(inverse(
% multiply(c3,
% multiply(A,c3))),
% multiply(inverse(B),B)))))
% <-> multiply(c3,multiply(A,inverse(multiply(inverse(C),C))))
% Current number of equations to process: 4917
% Current number of ordered equations: 2
% Current number of rules: 549
% New rule produced :
% [1156]
% multiply(multiply(inverse(c3),c3),inverse(multiply(inverse(multiply(A,B)),
% multiply(A,inverse(inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))
% -> B
% Current number of equations to process: 4916
% Current number of ordered equations: 2
% Current number of rules: 550
% New rule produced :
% [1157]
% multiply(multiply(inverse(c3),c3),multiply(inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(A),A)))))),
% inverse(multiply(inverse(B),multiply(
% inverse(c3),c3)))))
% -> B
% Current number of equations to process: 4914
% Current number of ordered equations: 3
% Current number of rules: 551
% New rule produced :
% [1158]
% multiply(multiply(inverse(c3),c3),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(multiply(inverse(B),inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B
% Current number of equations to process: 4914
% Current number of ordered equations: 2
% Current number of rules: 552
% New rule produced :
% [1159]
% multiply(c3,multiply(inverse(inverse(inverse(inverse(inverse(multiply(
% inverse(A),A)))))),
% inverse(multiply(inverse(B),multiply(c3,inverse(multiply(
% inverse(C),C)))))))
% -> B
% Current number of equations to process: 4913
% Current number of ordered equations: 2
% Current number of rules: 553
% New rule produced :
% [1160]
% multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),multiply(
% inverse(B),
% inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(B),
% multiply(
% inverse(B),B))))))
% -> C
% Current number of equations to process: 4912
% Current number of ordered equations: 1
% Current number of rules: 554
% New rule produced :
% [1161]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(B),
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))
% -> C
% Current number of equations to process: 4912
% Current number of ordered equations: 0
% Current number of rules: 555
% New rule produced :
% [1162]
% multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,inverse(inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))))
% -> C
% Current number of equations to process: 4910
% Current number of ordered equations: 0
% Current number of rules: 556
% New rule produced :
% [1163]
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(B),
% inverse(multiply(inverse(C),
% multiply(inverse(B),
% inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))))
% -> C
% Current number of equations to process: 4908
% Current number of ordered equations: 0
% Current number of rules: 557
% New rule produced :
% [1164]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),
% inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))
% -> C
% Current number of equations to process: 4906
% Current number of ordered equations: 1
% Current number of rules: 558
% New rule produced :
% [1165]
% multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),multiply(
% multiply(
% inverse(B),B),
% inverse(
% multiply(
% inverse(C),
% inverse(
% multiply(
% inverse(V_3),V_3))))))
% -> C
% Current number of equations to process: 4906
% Current number of ordered equations: 0
% Current number of rules: 559
% New rule produced :
% [1166]
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% -> multiply(inverse(B),multiply(inverse(B),B))
% Rule
% [377]
% inverse(multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B collapsed.
% Rule
% [555]
% multiply(inverse(multiply(c3,multiply(B,multiply(inverse(C),C)))),multiply(c3,
% multiply(B,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <-> multiply(inverse(A),A) collapsed.
% Current number of equations to process: 4998
% Current number of ordered equations: 0
% Current number of rules: 558
% Rule [1092]
% multiply(inverse(B),A) <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(
% multiply(
% inverse(
% inverse(
% multiply(
% inverse(A),
% multiply(
% inverse(A),A)))),B)))))) is composed into 
% [1092]
% multiply(inverse(B),A) <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(multiply(
% inverse(A),B))))))
% Rule [975]
% multiply(A,multiply(multiply(inverse(B),B),C)) <->
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(
% multiply(
% inverse(A),
% multiply(
% inverse(A),A))),C)) is composed into 
% [975]
% multiply(A,multiply(multiply(inverse(B),B),C)) <->
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(A,C))
% Rule [234]
% multiply(c3,multiply(inverse(multiply(inverse(multiply(C,A)),multiply(C,c3))),B))
% ->
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(
% multiply(
% inverse(A),
% multiply(
% inverse(A),A))),B)) is composed into 
% [234]
% multiply(c3,multiply(inverse(multiply(inverse(multiply(C,A)),multiply(C,c3))),B))
% -> multiply(inverse(inverse(multiply(inverse(A),A))),multiply(A,B))
% Rule [226]
% multiply(C,multiply(inverse(multiply(inverse(multiply(V_3,A)),multiply(V_3,C))),B))
% ->
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(
% multiply(
% inverse(A),
% multiply(
% inverse(A),A))),B)) is composed into 
% [226]
% multiply(C,multiply(inverse(multiply(inverse(multiply(V_3,A)),multiply(V_3,C))),B))
% -> multiply(inverse(inverse(multiply(inverse(A),A))),multiply(A,B))
% New rule produced :
% [1167] inverse(multiply(inverse(B),multiply(inverse(B),B))) -> B
% Rule
% [673]
% multiply(inverse(multiply(inverse(A),multiply(inverse(A),A))),multiply(
% inverse(
% multiply(B,A)),C))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(B,
% inverse(inverse(
% multiply(
% inverse(A),A))))),C))
% collapsed.
% Rule
% [878]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(C),
% multiply(inverse(C),C))))
% -> C collapsed.
% Rule
% [892]
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),inverse(multiply(
% inverse(C),
% multiply(
% inverse(C),C))))
% -> C collapsed.
% Rule
% [894]
% multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(C),
% multiply(inverse(C),C)))) ->
% C collapsed.
% Rule
% [900]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(C),
% multiply(inverse(C),C)))))
% -> multiply(inverse(B),C) collapsed.
% Rule
% [922]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(C),C)))))
% -> multiply(inverse(B),C) collapsed.
% Rule
% [925]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(C),multiply(
% inverse(C),C))))
% -> C collapsed.
% Rule
% [926]
% multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(C),C))))
% -> C collapsed.
% Rule
% [932]
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(inverse(c3),
% multiply(inverse(c3),c3))),B))
% <-> multiply(c3,multiply(inverse(multiply(inverse(A),A)),B)) collapsed.
% Rule
% [944]
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(B),
% inverse(multiply(inverse(C),
% multiply(inverse(C),C)))))
% -> multiply(inverse(B),C) collapsed.
% Rule
% [976]
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(multiply(
% inverse(A),
% multiply(
% inverse(A),A))),C))
% <-> multiply(A,multiply(multiply(inverse(B),B),C)) collapsed.
% Rule
% [1093]
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(multiply(
% inverse(
% inverse(
% multiply(
% inverse(A),
% multiply(
% inverse(A),A)))),B))))))
% <-> multiply(inverse(B),A) collapsed.
% Current number of equations to process: 5009
% Current number of ordered equations: 0
% Current number of rules: 547
% Rule [1149]
% inverse(multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(
% inverse(C),
% multiply(
% inverse(C),C)))))
% <->
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(B),multiply(
% inverse(C),
% multiply(
% inverse(C),C))))) is composed into 
% [1149]
% inverse(multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(inverse(C),
% multiply(inverse(C),C)))))
% -> inverse(multiply(inverse(B),multiply(inverse(C),multiply(inverse(C),C))))
% Rule [1145]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(inverse(A),
% inverse(inverse(multiply(
% inverse(C),C))))))
% <->
% multiply(multiply(inverse(c3),c3),multiply(inverse(A),multiply(inverse(A),
% multiply(inverse(B),B)))) is composed into 
% [1145]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(inverse(A),inverse(
% inverse(
% multiply(
% inverse(C),C))))))
% <-> multiply(inverse(A),multiply(inverse(A),multiply(inverse(B),B)))
% Rule [1135]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(C,multiply(C,
% multiply(
% inverse(V_4),V_4)))))
% <->
% multiply(multiply(inverse(A),A),multiply(inverse(B),multiply(C,multiply(C,
% multiply(
% inverse(V_3),V_3))))) is composed into 
% [1135]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(C,multiply(C,multiply(
% inverse(V_4),V_4)))))
% <-> multiply(inverse(B),multiply(C,multiply(C,multiply(inverse(V_3),V_3))))
% Rule [1133]
% multiply(inverse(multiply(c3,V_5)),multiply(c3,multiply(inverse(
% multiply(C,
% multiply(V_3,
% inverse(V_5)))),V_4)))
% <->
% multiply(multiply(inverse(A),A),multiply(B,multiply(inverse(multiply(C,
% multiply(V_3,B))),V_4))) is composed into 
% [1133]
% multiply(inverse(multiply(c3,V_5)),multiply(c3,multiply(inverse(multiply(C,
% multiply(V_3,
% inverse(V_5)))),V_4)))
% <-> multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),V_4))
% Rule [1131]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(B),
% inverse(multiply(inverse(V_3),V_3)))))
% <->
% multiply(multiply(inverse(A),A),multiply(inverse(B),multiply(inverse(B),
% inverse(multiply(
% inverse(C),C))))) is composed into 
% [1131]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(B),inverse(
% multiply(
% inverse(V_3),V_3)))))
% <-> multiply(inverse(B),multiply(inverse(B),inverse(multiply(inverse(C),C))))
% Rule [1130]
% multiply(inverse(multiply(c3,multiply(V_3,multiply(inverse(V_4),V_4)))),
% multiply(c3,multiply(V_3,C))) <->
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),
% multiply(multiply(inverse(B),B),C))) is composed into 
% [1130]
% multiply(inverse(multiply(c3,multiply(V_3,multiply(inverse(V_4),V_4)))),
% multiply(c3,multiply(V_3,C))) -> C
% Rule [1123]
% multiply(inverse(A),multiply(inverse(A),A)) <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(
% multiply(
% multiply(
% inverse(B),B),A)))))) is composed into 
% [1123]
% multiply(inverse(A),multiply(inverse(A),A)) <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(A)))))
% Rule [1096]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(B),
% multiply(inverse(V_3),V_3))))
% <->
% multiply(multiply(inverse(A),A),multiply(inverse(B),multiply(inverse(B),
% inverse(multiply(
% inverse(C),C))))) is composed into 
% [1096]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(B),multiply(
% inverse(V_3),V_3))))
% <-> multiply(inverse(B),multiply(inverse(B),inverse(multiply(inverse(C),C))))
% Rule [1065]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(B),
% inverse(multiply(inverse(V_3),V_3)))))
% <->
% multiply(multiply(inverse(A),A),multiply(inverse(B),multiply(inverse(B),
% multiply(inverse(C),C)))) is composed into 
% [1065]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(B),inverse(
% multiply(
% inverse(V_3),V_3)))))
% <-> multiply(inverse(B),multiply(inverse(B),multiply(inverse(C),C)))
% Rule [1057]
% multiply(inverse(multiply(inverse(multiply(c3,C)),multiply(c3,V_3))),
% multiply(inverse(multiply(inverse(V_3),C)),B)) <->
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(A),A),B)) is composed into 
% [1057]
% multiply(inverse(multiply(inverse(multiply(c3,C)),multiply(c3,V_3))),
% multiply(inverse(multiply(inverse(V_3),C)),B)) -> B
% Rule [1022]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(inverse(A),
% multiply(inverse(C),C))))
% <->
% multiply(multiply(inverse(c3),c3),multiply(inverse(A),multiply(inverse(A),
% multiply(inverse(B),B)))) is composed into 
% [1022]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(inverse(A),multiply(
% inverse(C),C))))
% <-> multiply(inverse(A),multiply(inverse(A),multiply(inverse(B),B)))
% Rule [993]
% multiply(c3,multiply(inverse(multiply(c3,multiply(inverse(multiply(c3,
% multiply(c3,c3))),
% multiply(c3,multiply(c3,
% inverse(multiply(
% inverse(c3),
% multiply(
% inverse(A),A)))))))),B))
% -> multiply(multiply(inverse(A),A),multiply(multiply(inverse(A),A),B)) is composed into 
% [993]
% multiply(c3,multiply(inverse(multiply(c3,multiply(inverse(multiply(c3,
% multiply(c3,c3))),
% multiply(c3,multiply(c3,inverse(
% multiply(
% inverse(c3),
% multiply(
% inverse(A),A)))))))),B))
% -> B
% Rule [968]
% multiply(inverse(multiply(A,multiply(c3,multiply(inverse(B),B)))),
% multiply(A,C)) <->
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(c3,multiply(
% inverse(c3),c3))),C)) is composed into 
% [968]
% multiply(inverse(multiply(A,multiply(c3,multiply(inverse(B),B)))),multiply(A,C))
% <-> multiply(inverse(multiply(c3,multiply(inverse(c3),c3))),C)
% Rule [964]
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),
% multiply(c3,C)) <->
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(A,multiply(
% inverse(c3),c3))),C)) is composed into 
% [964]
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),multiply(c3,C))
% <-> multiply(inverse(multiply(A,multiply(inverse(c3),c3))),C)
% Rule [952]
% multiply(inverse(multiply(c3,multiply(c3,B))),multiply(c3,multiply(c3,C)))
% <->
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(A),A),
% multiply(inverse(B),C))) is composed into 
% [952]
% multiply(inverse(multiply(c3,multiply(c3,B))),multiply(c3,multiply(c3,C))) ->
% multiply(inverse(B),C)
% Rule [934]
% multiply(V_3,multiply(inverse(multiply(V_4,multiply(inverse(A),V_3))),
% multiply(V_4,C))) <->
% multiply(A,multiply(multiply(inverse(B),B),multiply(multiply(inverse(B),B),C))) is composed into 
% [934]
% multiply(V_3,multiply(inverse(multiply(V_4,multiply(inverse(A),V_3))),
% multiply(V_4,C))) -> multiply(A,C)
% Rule [930]
% multiply(multiply(A,c3),multiply(inverse(multiply(c3,multiply(inverse(c3),c3))),C))
% <->
% multiply(multiply(A,multiply(inverse(c3),c3)),multiply(multiply(
% inverse(B),B),C)) is composed into 
% [930]
% multiply(multiply(A,c3),multiply(inverse(multiply(c3,multiply(inverse(c3),c3))),C))
% <-> multiply(multiply(A,multiply(inverse(c3),c3)),C)
% Rule [927]
% multiply(inverse(multiply(V_3,inverse(inverse(multiply(inverse(V_4),V_4))))),
% multiply(V_3,C)) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),C)) is composed into 
% [927]
% multiply(inverse(multiply(V_3,inverse(inverse(multiply(inverse(V_4),V_4))))),
% multiply(V_3,C)) <-> multiply(inverse(multiply(inverse(A),A)),C)
% Rule [916]
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(
% multiply(
% inverse(A),
% multiply(
% inverse(B),B)))))))
% <-> multiply(multiply(inverse(B),B),multiply(multiply(inverse(B),B),A)) is composed into 
% [916]
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(multiply(
% inverse(A),
% multiply(
% inverse(B),B)))))))
% -> A
% Rule [879]
% multiply(inverse(multiply(c3,B)),multiply(c3,C)) <->
% multiply(multiply(inverse(A),A),multiply(inverse(B),C)) is composed into 
% [879]
% multiply(inverse(multiply(c3,B)),multiply(c3,C)) -> multiply(inverse(B),C)
% Rule [815]
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))),
% multiply(c3,C)) <->
% multiply(multiply(inverse(A),A),multiply(inverse(multiply(c3,multiply(
% inverse(B),B))),C)) is composed into 
% [815]
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(multiply(
% inverse(V_3),V_3))))))),
% multiply(c3,C)) <-> multiply(inverse(multiply(c3,multiply(inverse(B),B))),C)
% Rule [814]
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(
% multiply(
% inverse(C),C))))))),
% multiply(c3,B)) <->
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(c3,inverse(
% multiply(
% inverse(A),A)))),B)) is composed into 
% [814]
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(multiply(
% inverse(C),C))))))),
% multiply(c3,B)) <->
% multiply(inverse(multiply(c3,inverse(multiply(inverse(A),A)))),B)
% Rule [793]
% multiply(B,inverse(multiply(A,multiply(c3,multiply(B,inverse(multiply(
% inverse(C),C)))))))
% <->
% multiply(multiply(inverse(c3),c3),inverse(multiply(A,multiply(c3,
% multiply(inverse(c3),c3))))) is composed into 
% [793]
% multiply(B,inverse(multiply(A,multiply(c3,multiply(B,inverse(multiply(
% inverse(C),C)))))))
% <-> inverse(multiply(A,multiply(c3,multiply(inverse(c3),c3))))
% Rule [776]
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(multiply(inverse(A),A),inverse(multiply(B,multiply(c3,inverse(
% multiply(
% inverse(C),C)))))) is composed into 
% [776]
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(V_3),V_3)))))))
% <-> inverse(multiply(B,multiply(c3,inverse(multiply(inverse(C),C)))))
% Rule [770]
% multiply(c3,inverse(multiply(A,multiply(c3,multiply(c3,multiply(
% inverse(B),B))))))
% <->
% multiply(multiply(inverse(c3),c3),inverse(multiply(A,multiply(c3,
% multiply(inverse(c3),c3))))) is composed into 
% [770]
% multiply(c3,inverse(multiply(A,multiply(c3,multiply(c3,multiply(inverse(B),B))))))
% <-> inverse(multiply(A,multiply(c3,multiply(inverse(c3),c3))))
% Rule [767]
% multiply(c3,inverse(multiply(A,multiply(c3,multiply(c3,multiply(
% inverse(c3),c3))))))
% <->
% multiply(multiply(inverse(B),B),inverse(multiply(A,multiply(c3,multiply(
% inverse(B),B))))) is composed into 
% [767]
% multiply(c3,inverse(multiply(A,multiply(c3,multiply(c3,multiply(inverse(c3),c3))))))
% <-> inverse(multiply(A,multiply(c3,multiply(inverse(B),B))))
% Rule [564]
% multiply(c3,multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),
% multiply(c3,c3))),B)) ->
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(c3,multiply(
% inverse(c3),c3))),B)) is composed into 
% [564]
% multiply(c3,multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),
% multiply(c3,c3))),B)) ->
% multiply(inverse(multiply(c3,multiply(inverse(c3),c3))),B)
% Rule [530]
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),
% multiply(c3,multiply(A,C))) <->
% multiply(multiply(inverse(V_3),V_3),multiply(inverse(multiply(c3,
% multiply(inverse(V_3),V_3))),
% multiply(c3,C))) is composed into 
% [530]
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),multiply(c3,
% multiply(A,C)))
% <-> multiply(inverse(multiply(c3,multiply(inverse(V_3),V_3))),multiply(c3,C))
% Rule [495]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,C)) ->
% multiply(multiply(inverse(B),B),multiply(multiply(inverse(B),B),C)) is composed into 
% [495]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,C)) -> C
% Rule [469]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(
% multiply(
% inverse(A),A))),B))
% <->
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(inverse(A),A)),B)) is composed into 
% [469]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),B))
% -> multiply(inverse(multiply(inverse(A),A)),B)
% New rule produced : [1168] multiply(multiply(inverse(A),A),C) -> C
% Rule
% [556]
% multiply(multiply(inverse(A),A),multiply(inverse(multiply(B,multiply(B,
% inverse(inverse(
% multiply(
% inverse(C),C)))))),V_3))
% -> multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),V_3)) collapsed.
% Rule
% [561]
% multiply(inverse(multiply(multiply(inverse(A),A),B)),inverse(inverse(
% multiply(
% inverse(C),C))))
% -> multiply(inverse(B),multiply(inverse(B),B)) collapsed.
% Rule
% [562]
% multiply(c3,multiply(multiply(inverse(A),A),inverse(multiply(inverse(B),
% multiply(c3,inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% -> B collapsed.
% Rule
% [563]
% multiply(A,multiply(inverse(multiply(multiply(inverse(B),B),multiply(c3,A))),C))
% ->
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(c3,multiply(
% inverse(c3),c3))),C))
% collapsed.
% Rule
% [574]
% multiply(inverse(multiply(multiply(inverse(A),A),B)),multiply(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))),V_3))
% <-> multiply(inverse(multiply(V_4,B)),multiply(V_4,V_3)) collapsed.
% Rule
% [665]
% multiply(multiply(inverse(c3),c3),inverse(inverse(inverse(multiply(inverse(A),A)))))
% -> multiply(inverse(c3),c3) collapsed.
% Rule
% [679]
% multiply(A,multiply(inverse(multiply(B,multiply(multiply(inverse(c3),c3),A))),C))
% ->
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(B,multiply(
% inverse(c3),c3))),C))
% collapsed.
% Rule
% [711]
% multiply(multiply(inverse(c3),c3),inverse(inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(A),A))))))))
% -> multiply(inverse(c3),c3) collapsed.
% Rule
% [717]
% multiply(c3,multiply(multiply(inverse(A),A),inverse(multiply(inverse(B),
% multiply(c3,inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B collapsed.
% Rule
% [754]
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(c3,multiply(
% inverse(c3),c3))),B))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(c3,
% inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(A),A))))))),B))
% collapsed.
% Rule
% [759]
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(inverse(multiply(A,C)),
% multiply(inverse(c3),c3))),V_3))
% <-> multiply(multiply(A,multiply(inverse(B),B)),multiply(C,V_3)) collapsed.
% Rule
% [766]
% multiply(multiply(inverse(B),B),inverse(multiply(A,multiply(c3,multiply(
% inverse(B),B)))))
% <->
% multiply(c3,inverse(multiply(A,multiply(c3,multiply(c3,multiply(inverse(c3),c3))))))
% collapsed.
% Rule
% [771]
% multiply(multiply(inverse(c3),c3),inverse(multiply(A,multiply(c3,multiply(
% inverse(c3),c3)))))
% <->
% multiply(c3,inverse(multiply(A,multiply(c3,multiply(c3,multiply(inverse(B),B))))))
% collapsed.
% Rule
% [773]
% multiply(multiply(inverse(c3),c3),inverse(multiply(A,multiply(c3,multiply(
% inverse(B),B)))))
% <->
% multiply(c3,inverse(multiply(A,multiply(c3,multiply(c3,multiply(inverse(C),C))))))
% collapsed.
% Rule
% [775]
% multiply(multiply(inverse(A),A),inverse(multiply(B,multiply(c3,multiply(
% inverse(A),A)))))
% <->
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,multiply(inverse(C),C))))))
% collapsed.
% Rule
% [777]
% multiply(multiply(inverse(A),A),inverse(multiply(B,multiply(c3,inverse(
% multiply(
% inverse(C),C))))))
% <->
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(V_3),V_3)))))))
% collapsed.
% Rule
% [784]
% inverse(multiply(multiply(inverse(A),A),multiply(multiply(inverse(A),A),
% inverse(inverse(inverse(multiply(
% inverse(A),A)))))))
% -> multiply(inverse(c3),c3) collapsed.
% Rule
% [785]
% multiply(inverse(multiply(multiply(inverse(A),A),B)),inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))
% -> multiply(inverse(B),multiply(inverse(B),B)) collapsed.
% Rule
% [794]
% multiply(multiply(inverse(c3),c3),inverse(multiply(A,multiply(c3,multiply(
% inverse(c3),c3)))))
% <->
% multiply(B,inverse(multiply(A,multiply(c3,multiply(B,inverse(multiply(
% inverse(C),C)))))))
% collapsed.
% Rule
% [812]
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(c3,inverse(
% multiply(
% inverse(A),A)))),B))
% <->
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(multiply(
% inverse(C),C))))))),
% multiply(c3,B)) collapsed.
% Rule
% [817]
% multiply(multiply(inverse(A),A),multiply(inverse(multiply(c3,multiply(
% inverse(B),B))),C))
% <->
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(multiply(
% inverse(V_3),V_3))))))),
% multiply(c3,C)) collapsed.
% Rule
% [857]
% multiply(A,inverse(multiply(multiply(inverse(B),B),multiply(multiply(
% inverse(B),B),
% multiply(A,inverse(
% multiply(
% inverse(C),C)))))))
% -> multiply(inverse(c3),c3) collapsed.
% Rule
% [865]
% multiply(A,inverse(multiply(multiply(inverse(B),B),multiply(c3,multiply(A,
% multiply(
% inverse(C),C))))))
% -> multiply(inverse(c3),multiply(inverse(c3),c3)) collapsed.
% Rule
% [880]
% multiply(multiply(inverse(A),A),multiply(inverse(B),C)) <->
% multiply(inverse(multiply(c3,B)),multiply(c3,C)) collapsed.
% Rule
% [910]
% multiply(A,multiply(multiply(inverse(B),B),inverse(multiply(inverse(C),
% multiply(A,multiply(
% inverse(V_3),V_3))))))
% -> C collapsed.
% Rule
% [911]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),C))
% <->
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(inverse(A),A)),C))
% collapsed.
% Rule
% [912]
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(inverse(A),A)),C))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),C))
% collapsed.
% Rule
% [913]
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(inverse(A),A)),
% inverse(multiply(inverse(A),A)))) ->
% multiply(inverse(c3),c3) collapsed.
% Rule
% [915]
% multiply(multiply(inverse(B),B),multiply(multiply(inverse(B),B),A)) <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(multiply(
% inverse(A),
% multiply(
% inverse(B),B)))))))
% collapsed.
% Rule
% [920]
% multiply(multiply(inverse(c3),c3),inverse(inverse(inverse(inverse(inverse(
% multiply(
% inverse(A),A)))))))
% -> inverse(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))))
% collapsed.
% Rule
% [928]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),C))
% <->
% multiply(inverse(multiply(V_3,inverse(inverse(multiply(inverse(V_4),V_4))))),
% multiply(V_3,C)) collapsed.
% Rule
% [929]
% multiply(multiply(A,multiply(inverse(c3),c3)),multiply(multiply(inverse(B),B),C))
% <->
% multiply(multiply(A,c3),multiply(inverse(multiply(c3,multiply(inverse(c3),c3))),C))
% collapsed.
% Rule
% [933]
% multiply(A,multiply(multiply(inverse(B),B),multiply(multiply(inverse(B),B),C)))
% <->
% multiply(V_3,multiply(inverse(multiply(V_4,multiply(inverse(A),V_3))),
% multiply(V_4,C))) collapsed.
% Rule
% [935]
% multiply(multiply(inverse(A),A),multiply(inverse(B),inverse(multiply(
% inverse(C),
% multiply(
% inverse(B),
% multiply(
% inverse(B),B))))))
% -> C collapsed.
% Rule
% [951]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(A),A),multiply(
% inverse(B),C)))
% <->
% multiply(inverse(multiply(c3,multiply(c3,B))),multiply(c3,multiply(c3,C)))
% collapsed.
% Rule
% [965]
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(A,multiply(
% inverse(c3),c3))),C))
% <->
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),multiply(c3,C))
% collapsed.
% Rule
% [967]
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(c3,multiply(
% inverse(c3),c3))),C))
% <->
% multiply(inverse(multiply(A,multiply(c3,multiply(inverse(B),B)))),multiply(A,C))
% collapsed.
% Rule
% [975]
% multiply(A,multiply(multiply(inverse(B),B),C)) <->
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(A,C)) collapsed.
% Rule
% [978]
% multiply(A,multiply(B,inverse(multiply(multiply(inverse(C),C),multiply(A,
% multiply(B,
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% <-> multiply(inverse(V_4),V_4) collapsed.
% Rule
% [980]
% multiply(A,inverse(multiply(multiply(inverse(B),B),multiply(multiply(
% inverse(B),B),
% multiply(A,multiply(
% inverse(C),C))))))
% -> multiply(inverse(c3),c3) collapsed.
% Rule
% [981]
% multiply(inverse(multiply(multiply(inverse(A),A),B)),multiply(multiply(
% inverse(C),C),V_3))
% <-> multiply(inverse(multiply(V_4,B)),multiply(V_4,V_3)) collapsed.
% Rule
% [982]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),B)),
% multiply(multiply(inverse(C),C),V_3)) <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,V_3)) collapsed.
% Rule
% [983]
% multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),B)),
% multiply(multiply(inverse(C),C),V_3)) <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,V_3)) collapsed.
% Rule
% [984]
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(inverse(A),A)),
% inverse(multiply(inverse(B),multiply(
% inverse(c3),c3)))))
% -> B collapsed.
% Rule
% [987]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(
% multiply(c3,B)),
% multiply(c3,A)))))
% -> multiply(inverse(A),B) collapsed.
% Rule
% [988]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(B),B)))))
% -> C collapsed.
% Rule
% [989]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(B),
% multiply(
% inverse(C),C)))))
% -> B collapsed.
% Rule
% [990]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(A),A)))))
% -> C collapsed.
% Rule
% [991]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(B),
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% -> B collapsed.
% Rule
% [992]
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),
% multiply(inverse(B),B)))))
% -> C collapsed.
% Rule
% [995]
% multiply(inverse(multiply(multiply(inverse(A),A),B)),multiply(inverse(
% multiply(c3,C)),
% multiply(c3,V_3))) ->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(C),V_3)))
% collapsed.
% Rule
% [996]
% multiply(inverse(multiply(inverse(multiply(c3,A)),multiply(c3,B))),multiply(
% multiply(
% inverse(C),C),V_3))
% -> multiply(inverse(multiply(c3,multiply(inverse(A),B))),multiply(c3,V_3))
% collapsed.
% Rule
% [999]
% multiply(B,multiply(inverse(multiply(multiply(inverse(C),C),multiply(
% multiply(
% inverse(C),C),B))),A))
% -> multiply(multiply(inverse(c3),c3),multiply(multiply(inverse(c3),c3),A))
% collapsed.
% Rule
% [1000]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(multiply(inverse(c3),c3),
% inverse(inverse(multiply(inverse(C),C))))))
% -> multiply(inverse(A),multiply(inverse(A),A)) collapsed.
% Rule
% [1002]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(B),
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B collapsed.
% Rule
% [1003]
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),multiply(multiply(
% inverse(B),B),
% inverse(multiply(
% inverse(C),
% multiply(
% inverse(B),B)))))
% -> C collapsed.
% Rule
% [1010]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(c3),c3),
% inverse(multiply(inverse(B),
% inverse(inverse(multiply(
% inverse(C),C)))))))
% -> B collapsed.
% Rule
% [1018]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(multiply(
% inverse(C),C),
% multiply(inverse(B),
% multiply(inverse(B),B))))))
% <-> multiply(inverse(V_3),V_3) collapsed.
% Rule
% [1023]
% multiply(multiply(inverse(c3),c3),multiply(inverse(A),multiply(inverse(A),
% multiply(inverse(B),B))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(inverse(A),multiply(
% inverse(C),C))))
% collapsed.
% Rule
% [1024]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(c3),c3),
% inverse(multiply(inverse(multiply(c3,B)),
% multiply(c3,c3))))) ->
% multiply(inverse(c3),B) collapsed.
% Rule
% [1029]
% multiply(multiply(inverse(c3),c3),inverse(multiply(inverse(multiply(A,B)),
% multiply(A,inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% -> B collapsed.
% Rule
% [1031]
% multiply(inverse(multiply(multiply(inverse(c3),c3),multiply(multiply(
% inverse(c3),c3),
% inverse(inverse(multiply(
% inverse(A),A)))))),B)
% -> multiply(multiply(inverse(c3),c3),B) collapsed.
% Rule
% [1033]
% multiply(multiply(inverse(c3),c3),inverse(multiply(inverse(A),A))) <->
% multiply(inverse(B),B) collapsed.
% Rule
% [1034]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,inverse(inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))))
% -> C collapsed.
% Rule
% [1035]
% multiply(multiply(inverse(c3),c3),multiply(inverse(inverse(inverse(multiply(
% inverse(A),A)))),
% inverse(multiply(inverse(B),multiply(
% inverse(c3),c3)))))
% -> B collapsed.
% Rule
% [1036]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(c3),c3)))))
% -> C collapsed.
% Rule
% [1037]
% multiply(multiply(inverse(c3),c3),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(multiply(inverse(B),multiply(
% inverse(C),C)))))
% -> B collapsed.
% Rule
% [1038]
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),
% multiply(inverse(c3),c3)))))
% -> C collapsed.
% Rule
% [1039]
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),multiply(multiply(
% inverse(B),B),
% inverse(multiply(
% inverse(C),
% multiply(
% inverse(c3),c3)))))
% -> C collapsed.
% Rule
% [1040]
% multiply(c3,multiply(multiply(inverse(A),A),inverse(multiply(inverse(B),
% multiply(c3,inverse(
% multiply(
% inverse(C),C)))))))
% -> B collapsed.
% Rule
% [1054]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(A),A),multiply(
% multiply(
% inverse(B),B),
% inverse(
% multiply(
% inverse(C),C)))))
% <-> inverse(multiply(inverse(V_3),V_3)) collapsed.
% Rule
% [1066]
% multiply(multiply(inverse(A),A),multiply(inverse(B),multiply(inverse(B),
% multiply(inverse(C),C))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(B),inverse(
% multiply(
% inverse(V_3),V_3)))))
% collapsed.
% Rule
% [1076]
% multiply(multiply(inverse(c3),c3),inverse(multiply(inverse(multiply(A,B)),
% multiply(A,inverse(inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% -> B collapsed.
% Rule
% [1077]
% multiply(multiply(inverse(c3),c3),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(multiply(inverse(B),inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% -> B collapsed.
% Rule
% [1078]
% multiply(multiply(inverse(c3),c3),multiply(inverse(inverse(inverse(inverse(
% multiply(
% inverse(A),A))))),
% inverse(multiply(inverse(B),multiply(
% inverse(c3),c3)))))
% -> B collapsed.
% Rule
% [1084]
% multiply(inverse(multiply(multiply(inverse(A),A),B)),inverse(multiply(
% inverse(C),C)))
% -> multiply(inverse(B),multiply(inverse(B),B)) collapsed.
% Rule
% [1089]
% multiply(A,inverse(multiply(multiply(inverse(B),B),multiply(multiply(
% inverse(B),B),
% multiply(A,inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% -> multiply(inverse(c3),c3) collapsed.
% Rule
% [1097]
% multiply(multiply(inverse(A),A),multiply(inverse(B),multiply(inverse(B),
% inverse(multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(B),multiply(
% inverse(V_3),V_3))))
% collapsed.
% Rule
% [1103]
% multiply(c3,multiply(inverse(inverse(multiply(inverse(A),A))),inverse(
% multiply(
% multiply(
% inverse(B),B),
% multiply(c3,
% multiply(
% inverse(c3),c3))))))
% <-> multiply(inverse(C),C) collapsed.
% Rule
% [1104]
% multiply(multiply(inverse(c3),c3),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(multiply(inverse(multiply(c3,B)),
% multiply(c3,c3))))) ->
% multiply(inverse(c3),B) collapsed.
% Rule
% [1105]
% multiply(inverse(multiply(multiply(inverse(A),A),B)),multiply(inverse(
% inverse(
% multiply(
% inverse(C),C))),V_3))
% <-> multiply(inverse(multiply(V_4,B)),multiply(V_4,V_3)) collapsed.
% Rule
% [1110]
% multiply(multiply(inverse(c3),c3),multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(B),
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% -> B collapsed.
% Rule
% [1111]
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),
% inverse(multiply(
% inverse(V_3),V_3))))))
% -> C collapsed.
% Rule
% [1114]
% multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),multiply(
% multiply(
% inverse(B),B),
% inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(c3),c3)))))
% -> C collapsed.
% Rule
% [1115]
% multiply(multiply(inverse(c3),c3),multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(B),
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% -> B collapsed.
% Rule
% [1116]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),C)))) ->
% inverse(multiply(inverse(A),A)) collapsed.
% Rule
% [1117]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(C),
% inverse(
% multiply(
% inverse(V_3),V_3))))))
% -> C collapsed.
% Rule
% [1118]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),
% multiply(inverse(V_3),V_3)))))
% -> C collapsed.
% Rule
% [1119]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),
% inverse(multiply(inverse(V_3),V_3))))))
% -> C collapsed.
% Rule
% [1120]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),
% inverse(inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))))
% -> C collapsed.
% Rule
% [1121]
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),multiply(multiply(
% inverse(B),B),
% inverse(multiply(
% inverse(C),
% inverse(
% multiply(
% inverse(V_3),V_3))))))
% -> C collapsed.
% Rule
% [1122]
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(multiply(
% multiply(
% inverse(B),B),A))))))
% <-> multiply(inverse(A),multiply(inverse(A),A)) collapsed.
% Rule
% [1124]
% multiply(A,inverse(multiply(multiply(inverse(B),B),multiply(c3,multiply(A,
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% -> multiply(inverse(c3),multiply(inverse(c3),c3)) collapsed.
% Rule
% [1129]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),multiply(
% multiply(
% inverse(B),B),C)))
% <->
% multiply(inverse(multiply(c3,multiply(V_3,multiply(inverse(V_4),V_4)))),
% multiply(c3,multiply(V_3,C))) collapsed.
% Rule
% [1132]
% multiply(multiply(inverse(A),A),multiply(inverse(B),multiply(inverse(B),
% inverse(multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(B),inverse(
% multiply(
% inverse(V_3),V_3)))))
% collapsed.
% Rule
% [1134]
% multiply(multiply(inverse(A),A),multiply(B,multiply(inverse(multiply(C,
% multiply(V_3,B))),V_4)))
% <->
% multiply(inverse(multiply(c3,V_5)),multiply(c3,multiply(inverse(multiply(C,
% multiply(V_3,
% inverse(V_5)))),V_4)))
% collapsed.
% Rule
% [1136]
% multiply(multiply(inverse(A),A),multiply(inverse(B),multiply(C,multiply(C,
% multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(C,multiply(C,multiply(
% inverse(V_4),V_4)))))
% collapsed.
% Rule
% [1146]
% multiply(multiply(inverse(c3),c3),multiply(inverse(A),multiply(inverse(A),
% multiply(inverse(B),B))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(inverse(A),inverse(
% inverse(
% multiply(
% inverse(C),C))))))
% collapsed.
% Rule
% [1147]
% inverse(multiply(inverse(multiply(B,multiply(multiply(inverse(c3),c3),A))),
% multiply(B,multiply(multiply(inverse(C),C),inverse(multiply(inverse(V_3),V_3))))))
% -> A collapsed.
% Rule
% [1148]
% multiply(inverse(multiply(B,multiply(multiply(inverse(c3),c3),inverse(
% inverse(
% multiply(
% inverse(C),C)))))),
% multiply(B,A)) ->
% multiply(multiply(inverse(c3),c3),multiply(multiply(inverse(c3),c3),A))
% collapsed.
% Rule
% [1150]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(B),multiply(
% inverse(C),
% multiply(
% inverse(C),C)))))
% <->
% inverse(multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(inverse(C),
% multiply(inverse(C),C)))))
% collapsed.
% Rule
% [1151]
% multiply(inverse(inverse(inverse(inverse(inverse(multiply(inverse(A),A)))))),
% multiply(multiply(inverse(c3),c3),inverse(multiply(inverse(B),multiply(
% inverse(c3),c3)))))
% -> B collapsed.
% Rule
% [1153]
% multiply(multiply(inverse(c3),c3),inverse(multiply(c3,multiply(inverse(
% multiply(A,
% multiply(A,c3))),
% multiply(inverse(B),B)))))
% <-> multiply(A,multiply(A,inverse(multiply(inverse(C),C)))) collapsed.
% Rule
% [1155]
% multiply(multiply(inverse(c3),c3),inverse(multiply(c3,multiply(inverse(
% multiply(c3,
% multiply(A,c3))),
% multiply(inverse(B),B)))))
% <-> multiply(c3,multiply(A,inverse(multiply(inverse(C),C)))) collapsed.
% Rule
% [1156]
% multiply(multiply(inverse(c3),c3),inverse(multiply(inverse(multiply(A,B)),
% multiply(A,inverse(inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))
% -> B collapsed.
% Rule
% [1157]
% multiply(multiply(inverse(c3),c3),multiply(inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(A),A)))))),
% inverse(multiply(inverse(B),multiply(
% inverse(c3),c3)))))
% -> B collapsed.
% Rule
% [1158]
% multiply(multiply(inverse(c3),c3),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(multiply(inverse(B),inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B collapsed.
% Rule
% [1164]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),
% inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))
% -> C collapsed.
% Rule
% [1165]
% multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),multiply(
% multiply(
% inverse(B),B),
% inverse(
% multiply(
% inverse(C),
% inverse(
% multiply(
% inverse(V_3),V_3))))))
% -> C collapsed.
% Current number of equations to process: 1212
% Current number of ordered equations: 0
% Current number of rules: 439
% Rule [1052]
% multiply(multiply(c3,multiply(A,V_3)),multiply(inverse(multiply(V_3,
% multiply(
% inverse(c3),c3))),B))
% <->
% multiply(multiply(c3,multiply(inverse(c3),c3)),multiply(multiply(A,
% multiply(
% inverse(A),A)),B)) is composed into 
% [1052]
% multiply(multiply(c3,multiply(A,V_3)),multiply(inverse(multiply(V_3,multiply(
% inverse(c3),c3))),B))
% -> multiply(c3,multiply(A,B))
% Rule [1046]
% multiply(multiply(A,multiply(C,c3)),multiply(inverse(multiply(c3,
% multiply(inverse(C),C))),V_3))
% <->
% multiply(multiply(A,multiply(inverse(B),B)),multiply(multiply(C,
% multiply(inverse(C),C)),V_3)) is composed into 
% [1046]
% multiply(multiply(A,multiply(C,c3)),multiply(inverse(multiply(c3,multiply(
% inverse(C),C))),V_3))
% <-> multiply(multiply(A,multiply(inverse(B),B)),multiply(C,V_3))
% Rule [1025]
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(A),A)))))) <->
% multiply(B,multiply(inverse(B),multiply(inverse(B),B))) is composed into 
% [1025]
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(A),A)))))) <->
% multiply(inverse(B),B)
% Rule [968]
% multiply(inverse(multiply(A,multiply(c3,multiply(inverse(B),B)))),
% multiply(A,C)) <->
% multiply(inverse(multiply(c3,multiply(inverse(c3),c3))),C) is composed into 
% [968]
% multiply(inverse(multiply(A,multiply(c3,multiply(inverse(B),B)))),multiply(A,C))
% -> multiply(inverse(c3),C)
% Rule [808]
% multiply(inverse(multiply(c3,B)),C) <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(c3,inverse(multiply(
% inverse(C),
% multiply(c3,
% multiply(c3,
% multiply(
% inverse(c3),c3)))))))) is composed into 
% [808]
% multiply(inverse(multiply(c3,B)),C) <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(c3,inverse(multiply(
% inverse(C),
% multiply(c3,c3))))))
% Rule [793]
% multiply(B,inverse(multiply(A,multiply(c3,multiply(B,inverse(multiply(
% inverse(C),C)))))))
% <-> inverse(multiply(A,multiply(c3,multiply(inverse(c3),c3)))) is composed into 
% [793]
% multiply(B,inverse(multiply(A,multiply(c3,multiply(B,inverse(multiply(
% inverse(C),C)))))))
% -> inverse(multiply(A,c3))
% Rule [792]
% multiply(A,inverse(multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),
% multiply(A,multiply(inverse(V_4),V_4))))))
% -> multiply(C,multiply(V_3,multiply(inverse(V_3),V_3))) is composed into 
% [792]
% multiply(A,inverse(multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),
% multiply(A,multiply(inverse(V_4),V_4)))))) ->
% multiply(C,V_3)
% Rule [770]
% multiply(c3,inverse(multiply(A,multiply(c3,multiply(c3,multiply(
% inverse(B),B))))))
% <-> inverse(multiply(A,multiply(c3,multiply(inverse(c3),c3)))) is composed into 
% [770]
% multiply(c3,inverse(multiply(A,multiply(c3,multiply(c3,multiply(inverse(B),B))))))
% -> inverse(multiply(A,c3))
% Rule [751]
% multiply(multiply(A,V_3),multiply(inverse(multiply(inverse(multiply(c3,
% multiply(c3,B))),
% multiply(c3,multiply(c3,V_3)))),C))
% <-> multiply(multiply(A,multiply(inverse(A),A)),multiply(B,C)) is composed into 
% [751]
% multiply(multiply(A,V_3),multiply(inverse(multiply(inverse(multiply(c3,
% multiply(c3,B))),
% multiply(c3,multiply(c3,V_3)))),C))
% -> multiply(A,multiply(B,C))
% Rule [738]
% multiply(A,inverse(multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),
% multiply(A,inverse(inverse(multiply(
% inverse(V_4),V_4))))))))
% -> multiply(C,multiply(V_3,multiply(inverse(V_3),V_3))) is composed into 
% [738]
% multiply(A,inverse(multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),
% multiply(A,inverse(inverse(multiply(inverse(V_4),V_4))))))))
% -> multiply(C,V_3)
% Rule [733]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))
% <->
% multiply(c3,inverse(multiply(inverse(B),multiply(C,multiply(c3,multiply(
% inverse(c3),c3)))))) is composed into 
% [733]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))
% -> multiply(c3,inverse(multiply(inverse(B),multiply(C,c3))))
% Rule [672]
% multiply(A,inverse(multiply(B,multiply(C,multiply(A,inverse(multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(c3,inverse(multiply(B,multiply(C,multiply(c3,multiply(inverse(c3),c3)))))) is composed into 
% [672]
% multiply(A,inverse(multiply(B,multiply(C,multiply(A,inverse(multiply(
% inverse(V_3),V_3)))))))
% <-> multiply(c3,inverse(multiply(B,multiply(C,c3))))
% Rule [622]
% multiply(A,inverse(multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),
% multiply(A,inverse(multiply(inverse(V_4),V_4)))))))
% -> multiply(C,multiply(V_3,multiply(inverse(V_3),V_3))) is composed into 
% [622]
% multiply(A,inverse(multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),
% multiply(A,inverse(multiply(inverse(V_4),V_4)))))))
% -> multiply(C,V_3)
% Rule [592]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,multiply(
% inverse(c3),c3))))))
% <->
% multiply(c3,inverse(multiply(inverse(B),multiply(C,multiply(c3,multiply(
% inverse(c3),c3)))))) is composed into 
% [592]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,multiply(
% inverse(c3),c3))))))
% -> multiply(c3,inverse(multiply(inverse(B),multiply(C,c3))))
% Rule [590]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% <->
% multiply(c3,inverse(multiply(inverse(B),multiply(C,multiply(c3,multiply(
% inverse(c3),c3)))))) is composed into 
% [590]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% -> multiply(c3,inverse(multiply(inverse(B),multiply(C,c3))))
% Rule [582]
% multiply(inverse(inverse(multiply(inverse(C),C))),multiply(inverse(
% multiply(
% inverse(V_3),V_3)),B))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(
% multiply(
% inverse(A),A))),B)) is composed into 
% [582]
% multiply(inverse(inverse(multiply(inverse(C),C))),multiply(inverse(multiply(
% inverse(V_3),V_3)),B))
% -> B
% Rule [564]
% multiply(c3,multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),
% multiply(c3,c3))),B)) ->
% multiply(inverse(multiply(c3,multiply(inverse(c3),c3))),B) is composed into 
% [564]
% multiply(c3,multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),
% multiply(c3,c3))),B)) -> multiply(inverse(c3),B)
% Rule [34]
% multiply(inverse(multiply(C,inverse(multiply(inverse(A),A)))),multiply(C,B))
% ->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(
% multiply(
% inverse(A),A))),B)) is composed into 
% [34]
% multiply(inverse(multiply(C,inverse(multiply(inverse(A),A)))),multiply(C,B))
% -> B
% New rule produced : [1169] multiply(B,multiply(inverse(B),A)) -> A
% Rule
% [430]
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(multiply(
% inverse(V_3),V_3)),
% multiply(inverse(inverse(
% multiply(
% inverse(V_3),V_3))),C)))
% <->
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),multiply(c3,
% multiply(A,C)))
% collapsed.
% Rule
% [469]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),B))
% -> multiply(inverse(multiply(inverse(A),A)),B) collapsed.
% Rule
% [567]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(multiply(inverse(B),
% inverse(inverse(multiply(
% inverse(C),C)))))))
% -> B collapsed.
% Rule
% [581]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),B))
% <->
% multiply(inverse(inverse(multiply(inverse(C),C))),multiply(inverse(multiply(
% inverse(V_3),V_3)),B))
% collapsed.
% Rule
% [591]
% multiply(c3,inverse(multiply(inverse(B),multiply(C,multiply(c3,multiply(
% inverse(c3),c3))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% collapsed.
% Rule
% [593]
% multiply(c3,inverse(multiply(inverse(B),multiply(C,multiply(c3,multiply(
% inverse(c3),c3))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,multiply(
% inverse(c3),c3))))))
% collapsed.
% Rule
% [598]
% multiply(inverse(multiply(A,multiply(B,inverse(C)))),multiply(A,multiply(B,
% multiply(
% inverse(B),B))))
% -> C collapsed.
% Rule
% [720]
% multiply(c3,multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),
% inverse(multiply(inverse(B),multiply(c3,multiply(inverse(c3),c3))))))
% -> B collapsed.
% Rule
% [721]
% multiply(c3,multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),
% inverse(multiply(inverse(B),multiply(c3,multiply(inverse(c3),c3))))))
% -> B collapsed.
% Rule
% [734]
% multiply(c3,inverse(multiply(inverse(B),multiply(C,multiply(c3,multiply(
% inverse(c3),c3))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))
% collapsed.
% Rule
% [752]
% multiply(multiply(A,multiply(inverse(A),A)),multiply(B,C)) <->
% multiply(multiply(A,V_3),multiply(inverse(multiply(inverse(multiply(c3,
% multiply(c3,B))),
% multiply(c3,multiply(c3,V_3)))),C))
% collapsed.
% Rule
% [767]
% multiply(c3,inverse(multiply(A,multiply(c3,multiply(c3,multiply(inverse(c3),c3))))))
% <-> inverse(multiply(A,multiply(c3,multiply(inverse(B),B)))) collapsed.
% Rule
% [807]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(c3,inverse(multiply(
% inverse(C),
% multiply(c3,
% multiply(c3,
% multiply(
% inverse(c3),c3))))))))
% <-> multiply(inverse(multiply(c3,B)),C) collapsed.
% Rule
% [930]
% multiply(multiply(A,c3),multiply(inverse(multiply(c3,multiply(inverse(c3),c3))),C))
% <-> multiply(multiply(A,multiply(inverse(c3),c3)),C) collapsed.
% Rule
% [1026]
% multiply(B,multiply(inverse(B),multiply(inverse(B),B))) <->
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))))
% collapsed.
% Rule
% [1045]
% multiply(multiply(A,multiply(inverse(B),B)),multiply(multiply(C,multiply(
% inverse(C),C)),V_3))
% <->
% multiply(multiply(A,multiply(C,c3)),multiply(inverse(multiply(c3,multiply(
% inverse(C),C))),V_3))
% collapsed.
% Rule
% [1051]
% multiply(multiply(c3,multiply(inverse(c3),c3)),multiply(multiply(A,multiply(
% inverse(A),A)),B))
% <->
% multiply(multiply(c3,multiply(A,V_3)),multiply(inverse(multiply(V_3,multiply(
% inverse(c3),c3))),B))
% collapsed.
% Rule
% [1071]
% multiply(c3,multiply(inverse(inverse(inverse(inverse(inverse(multiply(
% inverse(A),A)))))),
% inverse(multiply(inverse(B),multiply(c3,multiply(inverse(c3),c3))))))
% -> B collapsed.
% Current number of equations to process: 1222
% Current number of ordered equations: 0
% Current number of rules: 422
% Rule [1127]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(B),
% inverse(multiply(inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),multiply(
% inverse(B),
% multiply(
% inverse(C),C)))) is composed into 
% [1127]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(B),inverse(
% multiply(
% inverse(V_3),V_3)))))
% <-> multiply(inverse(B),multiply(inverse(B),multiply(inverse(C),C)))
% Rule [1098]
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(inverse(multiply(inverse(A),A)),inverse(multiply(B,multiply(c3,
% inverse(
% multiply(
% inverse(C),C)))))) is composed into 
% [1098]
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(V_3),V_3)))))))
% <-> inverse(multiply(B,multiply(c3,inverse(multiply(inverse(C),C)))))
% Rule [1062]
% multiply(inverse(multiply(A,multiply(c3,multiply(inverse(B),B)))),
% multiply(A,C)) <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(multiply(c3,
% inverse(
% multiply(
% inverse(V_3),V_3)))),C)) is composed into 
% [1062]
% multiply(inverse(multiply(A,multiply(c3,multiply(inverse(B),B)))),multiply(A,C))
% <-> multiply(inverse(multiply(c3,inverse(multiply(inverse(V_3),V_3)))),C)
% Rule [1059]
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),
% multiply(c3,C)) <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(multiply(A,
% inverse(
% multiply(
% inverse(V_3),V_3)))),C)) is composed into 
% [1059]
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),multiply(c3,C))
% <-> multiply(inverse(multiply(A,inverse(multiply(inverse(V_3),V_3)))),C)
% Rule [955]
% multiply(inverse(multiply(c3,multiply(c3,C))),multiply(c3,multiply(c3,V_3)))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(B,C)),
% multiply(B,V_3))) is composed into 
% [955]
% multiply(inverse(multiply(c3,multiply(c3,C))),multiply(c3,multiply(c3,V_3)))
% <-> multiply(inverse(multiply(B,C)),multiply(B,V_3))
% Rule [947]
% multiply(inverse(multiply(c3,multiply(V_3,B))),multiply(c3,multiply(V_3,C)))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(c3,B)),
% multiply(c3,C))) is composed into 
% [947]
% multiply(inverse(multiply(c3,multiply(V_3,B))),multiply(c3,multiply(V_3,C)))
% -> multiply(inverse(multiply(c3,B)),multiply(c3,C))
% Rule [927]
% multiply(inverse(multiply(V_3,inverse(inverse(multiply(inverse(V_4),V_4))))),
% multiply(V_3,C)) <-> multiply(inverse(multiply(inverse(A),A)),C) is composed into 
% [927]
% multiply(inverse(multiply(V_3,inverse(inverse(multiply(inverse(V_4),V_4))))),
% multiply(V_3,C)) -> C
% Rule [872]
% multiply(inverse(multiply(c3,B)),multiply(c3,C)) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),C)) is composed into 
% [872]
% multiply(inverse(multiply(c3,B)),multiply(c3,C)) -> multiply(inverse(B),C)
% Rule [816]
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))),
% multiply(c3,C)) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(c3,
% multiply(
% inverse(B),B))),C)) is composed into 
% [816]
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(multiply(
% inverse(V_3),V_3))))))),
% multiply(c3,C)) <-> multiply(inverse(multiply(c3,multiply(inverse(B),B))),C)
% Rule [456]
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(
% multiply(
% inverse(C),C))))))),
% multiply(c3,B)) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(c3,
% inverse(
% multiply(
% inverse(A),A)))),B)) is composed into 
% [456]
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(multiply(
% inverse(C),C))))))),
% multiply(c3,B)) <->
% multiply(inverse(multiply(c3,inverse(multiply(inverse(A),A)))),B)
% Rule [372]
% multiply(inverse(multiply(A,multiply(inverse(multiply(B,multiply(C,A))),V_3))),
% multiply(V_4,V_5)) <->
% multiply(inverse(multiply(inverse(c3),c3)),multiply(inverse(multiply(
% inverse(
% multiply(B,
% multiply(C,V_4))),V_3)),V_5)) is composed into 
% [372]
% multiply(inverse(multiply(A,multiply(inverse(multiply(B,multiply(C,A))),V_3))),
% multiply(V_4,V_5)) <->
% multiply(inverse(multiply(inverse(multiply(B,multiply(C,V_4))),V_3)),V_5)
% New rule produced : [1170] multiply(inverse(multiply(inverse(A),A)),C) -> C
% Rule
% [455]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(c3,
% inverse(multiply(
% inverse(A),A)))),B))
% <->
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(multiply(
% inverse(C),C))))))),
% multiply(c3,B)) collapsed.
% Rule
% [580]
% multiply(inverse(multiply(inverse(multiply(inverse(C),C)),A)),inverse(
% multiply(
% inverse(V_3),V_3)))
% -> multiply(inverse(A),multiply(inverse(A),A)) collapsed.
% Rule
% [582]
% multiply(inverse(inverse(multiply(inverse(C),C))),multiply(inverse(multiply(
% inverse(V_3),V_3)),B))
% -> B collapsed.
% Rule
% [719]
% multiply(c3,multiply(inverse(multiply(inverse(A),A)),inverse(multiply(
% inverse(B),
% multiply(c3,
% multiply(
% inverse(C),C))))))
% -> B collapsed.
% Rule
% [730]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(B,
% multiply(B,
% inverse(inverse(
% multiply(
% inverse(C),C)))))),V_3))
% -> multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),V_3)) collapsed.
% Rule
% [818]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(c3,
% multiply(inverse(B),B))),C))
% <->
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(multiply(
% inverse(V_3),V_3))))))),
% multiply(c3,C)) collapsed.
% Rule
% [873]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),C)) <->
% multiply(inverse(multiply(c3,B)),multiply(c3,C)) collapsed.
% Rule
% [906]
% multiply(inverse(multiply(inverse(A),A)),inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(A),A)))))))
% <-> multiply(inverse(B),B) collapsed.
% Rule
% [914]
% inverse(inverse(multiply(inverse(multiply(inverse(A),A)),inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(A),A))))))))
% <-> multiply(inverse(B),B) collapsed.
% Rule
% [931]
% multiply(c3,multiply(inverse(multiply(inverse(A),A)),B)) <->
% multiply(c3,multiply(inverse(multiply(inverse(c3),c3)),B)) collapsed.
% Rule
% [940]
% multiply(c3,multiply(inverse(multiply(inverse(A),A)),inverse(multiply(
% inverse(B),
% multiply(c3,
% inverse(
% multiply(
% inverse(C),C)))))))
% -> B collapsed.
% Rule
% [946]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(c3,B)),
% multiply(c3,C))) <->
% multiply(inverse(multiply(c3,multiply(V_3,B))),multiply(c3,multiply(V_3,C)))
% collapsed.
% Rule
% [954]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(B,C)),
% multiply(B,V_3))) <->
% multiply(inverse(multiply(c3,multiply(c3,C))),multiply(c3,multiply(c3,V_3)))
% collapsed.
% Rule
% [969]
% multiply(c3,multiply(inverse(multiply(inverse(A),A)),inverse(multiply(
% inverse(B),
% multiply(c3,
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B collapsed.
% Rule
% [994]
% multiply(c3,multiply(inverse(multiply(inverse(A),A)),inverse(multiply(
% inverse(B),
% multiply(c3,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% -> B collapsed.
% Rule
% [1021]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),B)),multiply(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))),V_3))
% <-> multiply(inverse(multiply(V_4,B)),multiply(V_4,V_3)) collapsed.
% Rule
% [1027]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(B,
% multiply(B,
% multiply(inverse(A),A)))),C))
% -> multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),C)) collapsed.
% Rule
% [1028]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(B,
% multiply(c3,
% multiply(inverse(A),A)))),C))
% -> multiply(c3,multiply(inverse(multiply(B,multiply(c3,c3))),C)) collapsed.
% Rule
% [1041]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(B),
% multiply(
% inverse(V_3),V_3))))))
% -> C collapsed.
% Rule
% [1055]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),B)),multiply(
% inverse(
% multiply(c3,C)),
% multiply(c3,V_3)))
% -> multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(C),V_3)))
% collapsed.
% Rule
% [1056]
% multiply(inverse(multiply(inverse(multiply(c3,A)),multiply(c3,B))),multiply(
% inverse(
% multiply(
% inverse(C),C)),V_3))
% -> multiply(inverse(multiply(c3,multiply(inverse(A),B))),multiply(c3,V_3))
% collapsed.
% Rule
% [1060]
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(multiply(A,
% inverse(
% multiply(
% inverse(V_3),V_3)))),C))
% <->
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),multiply(c3,C))
% collapsed.
% Rule
% [1061]
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(multiply(c3,
% inverse(
% multiply(
% inverse(V_3),V_3)))),C))
% <->
% multiply(inverse(multiply(A,multiply(c3,multiply(inverse(B),B)))),multiply(A,C))
% collapsed.
% Rule
% [1080]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(B),
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% -> C collapsed.
% Rule
% [1086]
% multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% -> C collapsed.
% Rule
% [1088]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(inverse(
% multiply(A,C)),
% multiply(inverse(c3),c3))),V_3))
% <-> multiply(multiply(A,multiply(inverse(B),B)),multiply(C,V_3)) collapsed.
% Rule
% [1099]
% multiply(inverse(multiply(inverse(A),A)),inverse(multiply(B,multiply(c3,
% inverse(multiply(
% inverse(C),C))))))
% <->
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(V_3),V_3)))))))
% collapsed.
% Rule
% [1106]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),B)),
% multiply(inverse(multiply(inverse(C),C)),V_3)) <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,V_3)) collapsed.
% Rule
% [1107]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),B)),multiply(
% inverse(
% inverse(
% multiply(
% inverse(C),C))),V_3))
% <-> multiply(inverse(multiply(V_4,B)),multiply(V_4,V_3)) collapsed.
% Rule
% [1128]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),multiply(
% inverse(B),
% multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(B),inverse(
% multiply(
% inverse(V_3),V_3)))))
% collapsed.
% Rule
% [1137]
% multiply(c3,multiply(inverse(multiply(inverse(A),A)),inverse(multiply(
% inverse(B),
% multiply(c3,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))
% -> B collapsed.
% Rule
% [1161]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(B),
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))
% -> C collapsed.
% Rule
% [1162]
% multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,inverse(inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))))
% -> C collapsed.
% Current number of equations to process: 1239
% Current number of ordered equations: 0
% Current number of rules: 390
% Rule [1063]
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,multiply(
% inverse(V_4),V_4))))))
% <->
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(B,
% multiply(c3,
% multiply(
% inverse(C),C))))) is composed into 
% [1063]
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,multiply(inverse(V_4),V_4))))))
% <-> inverse(multiply(B,multiply(c3,multiply(inverse(C),C))))
% Rule [780]
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(B,
% multiply(c3,
% multiply(
% inverse(C),C))))) is composed into 
% [780]
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(V_3),V_3)))))))
% <-> inverse(multiply(B,multiply(c3,multiply(inverse(C),C))))
% Rule [768]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,multiply(inverse(C),C))))))
% <->
% multiply(inverse(inverse(multiply(inverse(V_3),V_3))),inverse(multiply(B,
% multiply(c3,
% inverse(
% multiply(
% inverse(V_3),V_3)))))) is composed into 
% [768]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,multiply(inverse(C),C))))))
% <-> inverse(multiply(B,multiply(c3,inverse(multiply(inverse(V_3),V_3)))))
% Rule [729]
% multiply(V_3,inverse(multiply(c3,multiply(B,multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% <->
% inverse(multiply(inverse(inverse(multiply(inverse(A),A))),multiply(c3,
% multiply(B,
% inverse(
% multiply(
% inverse(C),C)))))) is composed into 
% [729]
% multiply(V_3,inverse(multiply(c3,multiply(B,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% <-> inverse(multiply(c3,multiply(B,inverse(multiply(inverse(C),C)))))
% Rule [234]
% multiply(c3,multiply(inverse(multiply(inverse(multiply(C,A)),multiply(C,c3))),B))
% -> multiply(inverse(inverse(multiply(inverse(A),A))),multiply(A,B)) is composed into 
% [234]
% multiply(c3,multiply(inverse(multiply(inverse(multiply(C,A)),multiply(C,c3))),B))
% -> multiply(A,B)
% Rule [226]
% multiply(C,multiply(inverse(multiply(inverse(multiply(V_3,A)),multiply(V_3,C))),B))
% -> multiply(inverse(inverse(multiply(inverse(A),A))),multiply(A,B)) is composed into 
% [226]
% multiply(C,multiply(inverse(multiply(inverse(multiply(V_3,A)),multiply(V_3,C))),B))
% -> multiply(A,B)
% New rule produced :
% [1171] multiply(inverse(inverse(multiply(inverse(A),A))),C) -> C
% Rule
% [311]
% multiply(c3,multiply(inverse(inverse(multiply(inverse(A),A))),inverse(
% multiply(
% inverse(B),
% multiply(c3,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% -> B collapsed.
% Rule
% [314]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),B)),
% multiply(inverse(inverse(inverse(multiply(inverse(C),C)))),V_3)) <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,V_3)) collapsed.
% Rule
% [411]
% multiply(c3,multiply(inverse(inverse(multiply(inverse(A),A))),inverse(
% multiply(
% inverse(B),
% multiply(c3,
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B collapsed.
% Rule
% [425]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(B,
% multiply(c3,
% inverse(multiply(
% inverse(A),A))))))
% <->
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,multiply(inverse(C),C))))))
% collapsed.
% Rule
% [515]
% multiply(c3,multiply(inverse(inverse(multiply(inverse(A),A))),inverse(
% multiply(
% inverse(B),
% multiply(c3,
% inverse(
% multiply(
% inverse(C),C)))))))
% -> B collapsed.
% Rule
% [518]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),B)),
% inverse(multiply(inverse(C),C))) ->
% multiply(inverse(B),multiply(inverse(B),B)) collapsed.
% Rule
% [523]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),B)),
% multiply(inverse(inverse(multiply(inverse(C),C))),V_3)) <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,V_3)) collapsed.
% Rule
% [564]
% multiply(c3,multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),
% multiply(c3,c3))),B)) -> multiply(inverse(c3),B)
% collapsed.
% Rule
% [570]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),B)),
% inverse(inverse(inverse(inverse(multiply(inverse(C),C)))))) ->
% multiply(inverse(B),multiply(inverse(B),B)) collapsed.
% Rule
% [571]
% multiply(c3,multiply(inverse(inverse(multiply(inverse(A),A))),inverse(
% multiply(
% inverse(B),
% multiply(c3,
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% -> B collapsed.
% Rule
% [631]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(
% multiply(B,C)),
% multiply(B,
% inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))
% -> C collapsed.
% Rule
% [633]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(
% multiply(B,C)),
% multiply(B,
% inverse(inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% -> C collapsed.
% Rule
% [728]
% inverse(multiply(inverse(inverse(multiply(inverse(A),A))),multiply(c3,
% multiply(B,
% inverse(multiply(
% inverse(C),C))))))
% <->
% multiply(V_3,inverse(multiply(c3,multiply(B,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% collapsed.
% Rule
% [732]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),B)),
% multiply(inverse(inverse(inverse(inverse(multiply(inverse(C),C))))),V_3)) <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,V_3)) collapsed.
% Rule
% [769]
% multiply(inverse(inverse(multiply(inverse(V_3),V_3))),inverse(multiply(B,
% multiply(c3,
% inverse(
% multiply(
% inverse(V_3),V_3))))))
% <->
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,multiply(inverse(C),C))))))
% collapsed.
% Rule
% [781]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(B,
% multiply(c3,
% multiply(inverse(C),C)))))
% <->
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(V_3),V_3)))))))
% collapsed.
% Rule
% [864]
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(c3,multiply(
% inverse(
% multiply(c3,c3)),B)))
% ->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,B)))
% collapsed.
% Rule
% [1004]
% multiply(c3,multiply(inverse(inverse(multiply(inverse(A),A))),inverse(
% multiply(
% inverse(B),
% multiply(c3,
% multiply(
% inverse(C),C))))))
% -> B collapsed.
% Rule
% [1058]
% inverse(multiply(A,multiply(c3,multiply(inverse(inverse(multiply(inverse(C),C))),
% inverse(inverse(multiply(inverse(V_3),V_3)))))))
% <-> inverse(multiply(A,multiply(c3,multiply(inverse(B),B)))) collapsed.
% Rule
% [1064]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(B,
% multiply(c3,
% multiply(inverse(C),C)))))
% <->
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,multiply(inverse(V_4),V_4))))))
% collapsed.
% Rule
% [1087]
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(B),
% inverse(multiply(inverse(C),
% multiply(inverse(B),
% multiply(inverse(V_3),V_3))))))
% -> C collapsed.
% Rule
% [1100]
% multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),B)),
% multiply(inverse(inverse(multiply(inverse(C),C))),V_3)) <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,V_3)) collapsed.
% Rule
% [1163]
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(B),
% inverse(multiply(inverse(C),
% multiply(inverse(B),
% inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))))
% -> C collapsed.
% Current number of equations to process: 1245
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [1172] inverse(multiply(inverse(C),multiply(inverse(B),B))) -> C
% Rule
% [916]
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(multiply(
% inverse(A),
% multiply(
% inverse(B),B)))))))
% -> A collapsed.
% Rule
% [993]
% multiply(c3,multiply(inverse(multiply(c3,multiply(inverse(multiply(c3,
% multiply(c3,c3))),
% multiply(c3,multiply(c3,inverse(
% multiply(
% inverse(c3),
% multiply(
% inverse(A),A)))))))),B))
% -> B collapsed.
% Rule
% [1070]
% multiply(inverse(inverse(multiply(inverse(A),multiply(inverse(B),B)))),
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))))) ->
% multiply(inverse(A),multiply(inverse(c3),c3)) collapsed.
% Rule [1167] inverse(multiply(inverse(B),multiply(inverse(B),B))) -> B
% collapsed.
% Current number of equations to process: 1242
% Current number of ordered equations: 0
% Current number of rules: 365
% Rule [890]
% multiply(inverse(multiply(c3,B)),multiply(c3,C)) <->
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),multiply(
% inverse(B),C)) is composed into 
% [890]
% multiply(inverse(multiply(c3,B)),multiply(c3,C)) -> multiply(inverse(B),C)
% New rule produced :
% [1173] multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),C) -> C
% Rule
% [414]
% multiply(c3,multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),
% inverse(multiply(inverse(B),multiply(c3,inverse(inverse(multiply(
% inverse(C),C))))))))
% -> B collapsed.
% Rule
% [432]
% multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),B)),
% multiply(inverse(inverse(inverse(multiply(inverse(C),C)))),V_3)) <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,V_3)) collapsed.
% Rule
% [524]
% multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),B)),
% inverse(multiply(inverse(C),C))) ->
% multiply(inverse(B),multiply(inverse(B),B)) collapsed.
% Rule
% [569]
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),inverse(multiply(
% inverse(
% multiply(B,C)),
% multiply(B,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% -> C collapsed.
% Rule
% [677]
% multiply(c3,multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),
% inverse(multiply(inverse(B),multiply(c3,inverse(inverse(inverse(
% multiply(
% inverse(C),C)))))))))
% -> B collapsed.
% Rule
% [891]
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),multiply(inverse(B),C))
% <-> multiply(inverse(multiply(c3,B)),multiply(c3,C)) collapsed.
% Rule
% [997]
% multiply(c3,multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),
% inverse(multiply(inverse(B),multiply(c3,inverse(multiply(
% inverse(C),C)))))))
% -> B collapsed.
% Rule
% [1067]
% multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),multiply(inverse(B),
% inverse(multiply(
% inverse(C),
% multiply(
% inverse(B),
% multiply(
% inverse(B),B))))))
% -> C collapsed.
% Rule
% [1109]
% multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),B)),
% inverse(inverse(inverse(inverse(multiply(inverse(C),C)))))) ->
% multiply(inverse(B),multiply(inverse(B),B)) collapsed.
% Current number of equations to process: 1240
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [1174] inverse(multiply(inverse(C),inverse(multiply(inverse(V_3),V_3)))) -> C
% Current number of equations to process: 1238
% Current number of ordered equations: 0
% Current number of rules: 358
% Rule [1125]
% multiply(multiply(A,B),multiply(inverse(multiply(C,multiply(inverse(V_3),V_3))),V_4))
% <->
% multiply(multiply(A,V_5),multiply(inverse(multiply(C,multiply(inverse(
% multiply(c3,B)),
% multiply(c3,V_5)))),V_4)) is composed into 
% [1125]
% multiply(multiply(A,B),multiply(inverse(multiply(C,multiply(inverse(V_3),V_3))),V_4))
% <->
% multiply(multiply(A,V_5),multiply(inverse(multiply(C,multiply(inverse(B),V_5))),V_4))
% Rule [1123]
% multiply(inverse(A),multiply(inverse(A),A)) <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(A))))) is composed into 
% [1123]
% multiply(inverse(A),multiply(inverse(A),A)) <->
% multiply(c3,multiply(inverse(c3),inverse(A)))
% Rule [1095]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,multiply(
% inverse(V_3),V_3))))))
% <->
% inverse(multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(C,
% inverse(inverse(
% multiply(
% inverse(V_5),V_5))))))) is composed into 
% [1095]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,multiply(
% inverse(V_3),V_3))))))
% <->
% inverse(multiply(inverse(B),multiply(C,inverse(inverse(multiply(inverse(V_5),V_5))))))
% Rule [1092]
% multiply(inverse(B),A) <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(
% multiply(
% inverse(A),B)))))) is composed into 
% [1092]
% multiply(inverse(B),A) <->
% multiply(c3,multiply(inverse(c3),inverse(multiply(inverse(A),B))))
% Rule [1090]
% multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),A)) <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(
% multiply(
% inverse(A),
% multiply(B,
% multiply(B,
% inverse(
% multiply(
% inverse(C),C)))))))))) is composed into 
% [1090]
% multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),A)) <->
% multiply(c3,multiply(inverse(c3),inverse(multiply(inverse(A),multiply(B,
% multiply(B,
% inverse(
% multiply(
% inverse(C),C))))))))
% Rule [1020]
% multiply(V_4,inverse(multiply(inverse(B),multiply(C,multiply(V_4,
% inverse(multiply(
% inverse(V_5),V_5)))))))
% <->
% inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(C,multiply(
% inverse(V_3),V_3))))) is composed into 
% [1020]
% multiply(V_4,inverse(multiply(inverse(B),multiply(C,multiply(V_4,inverse(
% multiply(
% inverse(V_5),V_5)))))))
% <-> inverse(multiply(inverse(B),multiply(C,multiply(inverse(V_3),V_3))))
% Rule [1017]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,multiply(
% inverse(V_3),V_3))))))
% <->
% inverse(multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(C,
% inverse(multiply(
% inverse(V_5),V_5)))))) is composed into 
% [1017]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,multiply(
% inverse(V_3),V_3))))))
% <->
% inverse(multiply(inverse(B),multiply(C,inverse(multiply(inverse(V_5),V_5)))))
% Rule [1014]
% multiply(A,multiply(inverse(multiply(c3,multiply(inverse(B),B))),
% inverse(multiply(inverse(C),C)))) <->
% multiply(c3,multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),
% multiply(c3,multiply(c3,inverse(multiply(c3,
% multiply(
% inverse(A),c3)))))))) is composed into 
% [1014]
% multiply(A,multiply(inverse(multiply(c3,multiply(inverse(B),B))),inverse(
% multiply(
% inverse(C),C))))
% <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(
% inverse(A),c3))))))
% Rule [909]
% multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),
% multiply(inverse(B),C)) <->
% multiply(inverse(multiply(c3,B)),multiply(c3,C)) is composed into 
% [909]
% multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),multiply(
% inverse(B),C))
% -> multiply(inverse(B),C)
% Rule [907]
% multiply(inverse(multiply(inverse(A),B)),inverse(inverse(inverse(
% multiply(
% inverse(C),C)))))
% -> multiply(inverse(multiply(c3,B)),multiply(c3,A)) is composed into 
% [907]
% multiply(inverse(multiply(inverse(A),B)),inverse(inverse(inverse(multiply(
% inverse(C),C)))))
% -> multiply(inverse(B),A)
% Rule [903]
% multiply(A,multiply(inverse(B),B)) <->
% multiply(C,multiply(inverse(multiply(V_3,multiply(V_4,C))),multiply(V_3,
% multiply(V_4,A)))) is composed into 
% [903]
% multiply(A,multiply(inverse(B),B)) <-> multiply(C,multiply(inverse(C),A))
% Rule [889]
% multiply(inverse(multiply(inverse(A),B)),inverse(inverse(multiply(
% inverse(C),C))))
% -> multiply(inverse(multiply(c3,B)),multiply(c3,A)) is composed into 
% [889]
% multiply(inverse(multiply(inverse(A),B)),inverse(inverse(multiply(inverse(C),C))))
% -> multiply(inverse(B),A)
% Rule [808]
% multiply(inverse(multiply(c3,B)),C) <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(c3,inverse(multiply(
% inverse(C),
% multiply(c3,c3)))))) is composed into 
% [808]
% multiply(inverse(multiply(c3,B)),C) <->
% multiply(inverse(B),multiply(c3,inverse(multiply(inverse(C),multiply(c3,c3)))))
% Rule [689]
% multiply(V_3,inverse(multiply(inverse(A),multiply(B,multiply(V_3,
% inverse(inverse(
% multiply(
% inverse(V_4),V_4))))))))
% <->
% inverse(multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,
% multiply(inverse(C),C))))) is composed into 
% [689]
% multiply(V_3,inverse(multiply(inverse(A),multiply(B,multiply(V_3,inverse(
% inverse(
% multiply(
% inverse(V_4),V_4))))))))
% <-> inverse(multiply(inverse(A),multiply(B,multiply(inverse(C),C))))
% Rule [658]
% multiply(multiply(A,multiply(inverse(B),B)),multiply(C,multiply(
% inverse(multiply(V_3,
% multiply(A,C))),V_4)))
% <->
% multiply(V_5,multiply(inverse(multiply(V_6,multiply(V_3,V_5))),multiply(V_6,V_4))) is composed into 
% [658]
% multiply(multiply(A,multiply(inverse(B),B)),multiply(C,multiply(inverse(
% multiply(V_3,
% multiply(A,C))),V_4)))
% <-> multiply(V_5,multiply(inverse(multiply(V_3,V_5)),V_4))
% Rule [614]
% multiply(V_3,inverse(multiply(inverse(B),multiply(C,multiply(V_3,
% inverse(inverse(
% multiply(
% inverse(V_4),V_4))))))))
% <->
% inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(C,multiply(
% inverse(c3),c3))))) is composed into 
% [614]
% multiply(V_3,inverse(multiply(inverse(B),multiply(C,multiply(V_3,inverse(
% inverse(
% multiply(
% inverse(V_4),V_4))))))))
% <-> inverse(multiply(inverse(B),multiply(C,multiply(inverse(c3),c3))))
% Rule [427]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% <->
% inverse(multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(C,
% inverse(inverse(
% multiply(
% inverse(V_5),V_5))))))) is composed into 
% [427]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% <->
% inverse(multiply(inverse(B),multiply(C,inverse(inverse(multiply(inverse(V_5),V_5))))))
% Rule [370]
% multiply(inverse(multiply(A,B)),multiply(C,multiply(inverse(multiply(V_3,
% multiply(V_4,C))),V_5)))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(multiply(V_3,
% multiply(V_4,A))),V_5))) is composed into 
% [370]
% multiply(inverse(multiply(A,B)),multiply(C,multiply(inverse(multiply(V_3,
% multiply(V_4,C))),V_5)))
% <-> multiply(inverse(B),multiply(inverse(multiply(V_3,multiply(V_4,A))),V_5))
% Rule [339]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% <->
% inverse(multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(C,
% inverse(multiply(
% inverse(V_5),V_5)))))) is composed into 
% [339]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% <->
% inverse(multiply(inverse(B),multiply(C,inverse(multiply(inverse(V_5),V_5)))))
% Rule [338]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% inverse(multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(C,
% inverse(inverse(
% multiply(
% inverse(V_5),V_5))))))) is composed into 
% [338]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% inverse(multiply(inverse(B),multiply(C,inverse(inverse(multiply(inverse(V_5),V_5))))))
% Rule [202]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% inverse(multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(C,
% inverse(multiply(
% inverse(V_5),V_5)))))) is composed into 
% [202]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% inverse(multiply(inverse(B),multiply(C,inverse(multiply(inverse(V_5),V_5)))))
% Rule [5]
% multiply(inverse(multiply(inverse(multiply(C,V_4)),B)),V_3) <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(
% inverse(V_3),
% multiply(
% inverse(V_4),
% multiply(
% inverse(V_4),V_4))))))) is composed into 
% [5]
% multiply(inverse(multiply(inverse(multiply(C,V_4)),B)),V_3) <->
% multiply(inverse(B),multiply(C,inverse(multiply(inverse(V_3),multiply(
% inverse(V_4),
% multiply(
% inverse(V_4),V_4))))))
% New rule produced :
% [1175]
% multiply(inverse(multiply(A,B)),multiply(A,C)) -> multiply(inverse(B),C)
% Rule
% [4]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(
% inverse(V_3),
% multiply(
% inverse(V_4),
% multiply(
% inverse(V_4),V_4)))))))
% <-> multiply(inverse(multiply(inverse(multiply(C,V_4)),B)),V_3) collapsed.
% Rule
% [16]
% multiply(inverse(multiply(A,B)),multiply(A,C)) <->
% multiply(inverse(multiply(c3,B)),multiply(c3,C)) collapsed.
% Rule
% [25]
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(c3,B)),
% multiply(c3,V_3))) ->
% multiply(inverse(multiply(c3,C)),multiply(c3,multiply(A,V_3))) collapsed.
% Rule
% [26]
% multiply(inverse(multiply(inverse(multiply(c3,A)),multiply(c3,B))),multiply(
% inverse(
% multiply(C,A)),V_3))
% <-> multiply(inverse(multiply(c3,multiply(C,B))),multiply(c3,V_3)) collapsed.
% Rule
% [27]
% multiply(inverse(multiply(c3,multiply(C,B))),multiply(c3,V_3)) <->
% multiply(inverse(multiply(inverse(multiply(c3,A)),multiply(c3,B))),multiply(
% inverse(
% multiply(C,A)),V_3))
% collapsed.
% Rule
% [34]
% multiply(inverse(multiply(C,inverse(multiply(inverse(A),A)))),multiply(C,B))
% -> B collapsed.
% Rule
% [51]
% multiply(inverse(multiply(c3,multiply(C,A))),multiply(c3,multiply(C,B))) <->
% multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,multiply(c3,B)))
% collapsed.
% Rule
% [52]
% multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,multiply(c3,B)))
% <-> multiply(inverse(multiply(c3,multiply(C,A))),multiply(c3,multiply(C,B)))
% collapsed.
% Rule
% [84]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(multiply(
% inverse(C),C)))))
% collapsed.
% Rule
% [85]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% collapsed.
% Rule
% [106]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(multiply(
% inverse(C),C)))))
% collapsed.
% Rule
% [107]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))
% collapsed.
% Rule
% [113]
% multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,multiply(A,
% inverse(
% multiply(
% inverse(V_3),V_3)))))))
% -> C collapsed.
% Rule
% [127]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% multiply(
% inverse(C),C))))))
% collapsed.
% Rule
% [128]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% multiply(
% inverse(C),C))))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% collapsed.
% Rule
% [133]
% multiply(inverse(multiply(c3,multiply(B,multiply(C,inverse(inverse(inverse(
% multiply(
% inverse(V_4),V_4)))))))),
% multiply(c3,V_3)) <->
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),V_3)) collapsed.
% Rule
% [136]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,inverse(multiply(
% inverse(V_3),V_3)))))
% collapsed.
% Rule
% [137]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% collapsed.
% Rule
% [138]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(multiply(
% inverse(C),C)))))
% collapsed.
% Rule
% [160]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(multiply(c3,
% multiply(C,V_3))),
% multiply(c3,multiply(C,B))))))
% -> multiply(inverse(B),multiply(inverse(B),V_3)) collapsed.
% Rule
% [163]
% multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))
% -> C collapsed.
% Rule
% [164]
% multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,multiply(A,
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% -> C collapsed.
% Rule
% [166]
% multiply(inverse(multiply(C,multiply(A,multiply(A,inverse(inverse(multiply(
% inverse(V_3),V_3))))))),
% multiply(C,B)) ->
% multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),B)) collapsed.
% Rule
% [170]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% multiply(
% inverse(C),C))))))
% collapsed.
% Rule
% [171]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% multiply(
% inverse(C),C))))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))
% collapsed.
% Rule
% [188]
% multiply(inverse(multiply(c3,multiply(A,inverse(multiply(inverse(V_3),V_3))))),
% multiply(c3,C)) <->
% multiply(inverse(multiply(A,multiply(A,multiply(inverse(B),B)))),multiply(A,C))
% collapsed.
% Rule
% [194]
% multiply(inverse(multiply(A,multiply(B,multiply(B,inverse(multiply(inverse(C),C)))))),
% multiply(A,V_3)) ->
% multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),V_3)) collapsed.
% Rule
% [201]
% inverse(multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(C,inverse(
% multiply(
% inverse(V_5),V_5))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% collapsed.
% Rule
% [218]
% multiply(inverse(multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(
% multiply(
% inverse(C),C)))))))),
% multiply(A,V_3)) ->
% multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),V_3)) collapsed.
% Rule
% [226]
% multiply(C,multiply(inverse(multiply(inverse(multiply(V_3,A)),multiply(V_3,C))),B))
% -> multiply(A,B) collapsed.
% Rule
% [234]
% multiply(c3,multiply(inverse(multiply(inverse(multiply(C,A)),multiply(C,c3))),B))
% -> multiply(A,B) collapsed.
% Rule
% [236]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(multiply(C,
% multiply(V_3,A))),V_4)))
% <->
% multiply(inverse(multiply(A,B)),multiply(c3,multiply(inverse(multiply(C,
% multiply(V_3,c3))),V_4)))
% collapsed.
% Rule
% [250]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% multiply(
% inverse(C),C))))))
% collapsed.
% Rule
% [251]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% multiply(
% inverse(C),C))))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))
% collapsed.
% Rule
% [254]
% multiply(inverse(multiply(C,multiply(c3,multiply(A,inverse(inverse(multiply(
% inverse(V_3),V_3))))))),
% multiply(C,B)) ->
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),B)) collapsed.
% Rule
% [300]
% multiply(inverse(multiply(A,multiply(A,inverse(inverse(multiply(inverse(V_3),V_3)))))),
% multiply(A,C)) <->
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),multiply(c3,C))
% collapsed.
% Rule
% [319]
% multiply(inverse(multiply(c3,multiply(B,inverse(multiply(inverse(C),C))))),
% multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))) <->
% inverse(multiply(inverse(A),A)) collapsed.
% Rule
% [336]
% inverse(multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(C,inverse(
% multiply(
% inverse(V_5),V_5))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% collapsed.
% Rule
% [337]
% inverse(multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(C,inverse(
% inverse(
% multiply(
% inverse(V_5),V_5)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% collapsed.
% Rule
% [342]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% collapsed.
% Rule
% [343]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))
% collapsed.
% Rule
% [352]
% multiply(inverse(multiply(c3,multiply(A,inverse(inverse(inverse(multiply(
% inverse(V_3),V_3))))))),
% multiply(c3,C)) <->
% multiply(inverse(multiply(A,multiply(A,multiply(inverse(B),B)))),multiply(A,C))
% collapsed.
% Rule
% [363]
% multiply(C,multiply(inverse(multiply(V_3,multiply(c3,C))),multiply(V_3,
% multiply(c3,B))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(A,c3))),multiply(c3,
% multiply(A,B))))
% collapsed.
% Rule
% [365]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(c3,C))) <->
% multiply(V_3,multiply(inverse(multiply(V_4,multiply(B,V_3))),multiply(V_4,C)))
% collapsed.
% Rule
% [388]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(inverse(C),C))))
% collapsed.
% Rule
% [389]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(inverse(C),C))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% collapsed.
% Rule
% [390]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(inverse(C),C))))
% collapsed.
% Rule
% [391]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(inverse(C),C))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))
% collapsed.
% Rule
% [394]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,multiply(inverse(C),C))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,inverse(multiply(
% inverse(V_3),V_3)))))
% collapsed.
% Rule
% [395]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,multiply(inverse(C),C))))
% collapsed.
% Rule
% [400]
% multiply(inverse(multiply(c3,multiply(A,multiply(B,inverse(inverse(multiply(
% inverse(C),C))))))),
% multiply(c3,V_3)) <->
% multiply(V_4,multiply(inverse(multiply(A,multiply(B,V_4))),V_3)) collapsed.
% Rule
% [401]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(inverse(C),C))))
% collapsed.
% Rule
% [402]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(inverse(C),C))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))
% collapsed.
% Rule
% [407]
% multiply(inverse(multiply(c3,multiply(A,multiply(B,inverse(multiply(inverse(C),C)))))),
% multiply(c3,V_3)) <->
% multiply(V_4,multiply(inverse(multiply(A,multiply(B,V_4))),V_3)) collapsed.
% Rule
% [408]
% multiply(inverse(multiply(A,multiply(c3,multiply(B,inverse(multiply(inverse(C),C)))))),
% multiply(A,V_3)) ->
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),V_3)) collapsed.
% Rule
% [409]
% multiply(inverse(multiply(A,multiply(c3,multiply(B,inverse(inverse(inverse(
% multiply(
% inverse(C),C)))))))),
% multiply(A,V_3)) ->
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),V_3)) collapsed.
% Rule
% [422]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% collapsed.
% Rule
% [423]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))
% collapsed.
% Rule
% [426]
% inverse(multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(C,inverse(
% inverse(
% multiply(
% inverse(V_5),V_5)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% collapsed.
% Rule
% [428]
% multiply(inverse(multiply(c3,multiply(A,inverse(multiply(inverse(V_3),V_3))))),
% multiply(c3,C)) <->
% multiply(inverse(multiply(A,multiply(A,multiply(inverse(B),B)))),multiply(A,C))
% collapsed.
% Rule
% [437]
% multiply(inverse(multiply(inverse(multiply(c3,A)),B)),multiply(inverse(
% multiply(C,A)),
% multiply(C,V_3))) ->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(c3,V_3))) collapsed.
% Rule
% [451]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,multiply(C,multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(C,multiply(C,multiply(
% inverse(V_4),V_4)))))
% collapsed.
% Rule
% [452]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(C,multiply(C,multiply(
% inverse(V_4),V_4)))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,multiply(C,multiply(
% inverse(V_3),V_3)))))
% collapsed.
% Rule
% [456]
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(multiply(
% inverse(C),C))))))),
% multiply(c3,B)) <->
% multiply(inverse(multiply(c3,inverse(multiply(inverse(A),A)))),B) collapsed.
% Rule
% [465]
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,inverse(
% multiply(
% inverse(C),C)))))
% -> multiply(inverse(B),multiply(inverse(B),B)) collapsed.
% Rule
% [467]
% multiply(inverse(multiply(A,multiply(A,multiply(inverse(B),B)))),multiply(A,
% multiply(A,
% inverse(
% multiply(
% inverse(C),C)))))
% -> multiply(inverse(c3),c3) collapsed.
% Rule
% [495]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,C)) -> C
% collapsed.
% Rule
% [511]
% multiply(inverse(multiply(A,multiply(A,multiply(inverse(B),B)))),multiply(A,
% multiply(A,
% multiply(
% inverse(C),C))))
% -> multiply(inverse(B),B) collapsed.
% Rule
% [517]
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),multiply(c3,
% multiply(A,
% inverse(
% multiply(
% inverse(C),C)))))
% -> multiply(inverse(B),B) collapsed.
% Rule
% [530]
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),multiply(c3,
% multiply(A,C)))
% <-> multiply(inverse(multiply(c3,multiply(inverse(V_3),V_3))),multiply(c3,C))
% collapsed.
% Rule
% [532]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% collapsed.
% Rule
% [533]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% collapsed.
% Rule
% [536]
% multiply(inverse(multiply(c3,multiply(B,multiply(inverse(C),C)))),multiply(c3,
% multiply(B,
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))
% <-> multiply(inverse(A),A) collapsed.
% Rule
% [551]
% multiply(inverse(multiply(A,multiply(A,multiply(inverse(B),B)))),multiply(A,C))
% <->
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(V_3),V_3)))),
% multiply(c3,C)) collapsed.
% Rule
% [552]
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(V_3),V_3)))),
% multiply(c3,C)) <->
% multiply(inverse(multiply(A,multiply(A,multiply(inverse(B),B)))),multiply(A,C))
% collapsed.
% Rule
% [572]
% multiply(inverse(multiply(V_3,B)),multiply(V_3,C)) <->
% multiply(inverse(multiply(c3,B)),multiply(c3,C)) collapsed.
% Rule
% [578]
% multiply(inverse(multiply(A,multiply(A,multiply(inverse(B),B)))),multiply(A,
% multiply(A,
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))
% <-> inverse(multiply(inverse(V_3),V_3)) collapsed.
% Rule
% [608]
% multiply(inverse(multiply(A,multiply(A,multiply(inverse(B),B)))),multiply(A,
% multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <-> inverse(multiply(inverse(V_3),V_3)) collapsed.
% Rule
% [613]
% inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(C,multiply(
% inverse(c3),c3)))))
% <->
% multiply(V_3,inverse(multiply(inverse(B),multiply(C,multiply(V_3,inverse(
% inverse(
% multiply(
% inverse(V_4),V_4))))))))
% collapsed.
% Rule
% [616]
% inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3))))))
% <->
% inverse(multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(C,inverse(
% inverse(
% multiply(
% inverse(V_5),V_5)))))))
% collapsed.
% Rule
% [617]
% inverse(multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(C,inverse(
% inverse(
% multiply(
% inverse(V_5),V_5)))))))
% <->
% inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3))))))
% collapsed.
% Rule
% [628]
% multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))))
% -> C collapsed.
% Rule
% [632]
% multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))))
% -> C collapsed.
% Rule
% [640]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(c3,multiply(B,C))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(V_3,c3))),multiply(c3,
% multiply(V_3,C))))
% collapsed.
% Rule
% [641]
% multiply(c3,multiply(inverse(multiply(c3,multiply(V_3,c3))),multiply(c3,
% multiply(V_3,C))))
% <->
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(c3,multiply(B,C))))
% collapsed.
% Rule
% [644]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(c3,multiply(B,C))))
% <->
% multiply(V_3,multiply(inverse(multiply(V_4,multiply(c3,V_3))),multiply(V_4,
% multiply(c3,C))))
% collapsed.
% Rule
% [645]
% multiply(c3,multiply(inverse(multiply(A,multiply(B,c3))),multiply(A,C))) <->
% multiply(V_3,multiply(inverse(multiply(V_4,multiply(B,V_3))),multiply(V_4,C)))
% collapsed.
% Rule
% [646]
% multiply(V_3,multiply(inverse(multiply(V_4,multiply(B,V_3))),multiply(V_4,C)))
% <-> multiply(c3,multiply(inverse(multiply(A,multiply(B,c3))),multiply(A,C)))
% collapsed.
% Rule
% [648]
% multiply(A,multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,
% multiply(c3,B))))
% <->
% multiply(C,multiply(inverse(multiply(V_3,multiply(V_4,C))),multiply(V_3,
% multiply(V_4,B))))
% collapsed.
% Rule
% [649]
% multiply(C,multiply(inverse(multiply(V_3,multiply(V_4,C))),multiply(V_3,
% multiply(V_4,B))))
% <->
% multiply(A,multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,
% multiply(c3,B))))
% collapsed.
% Rule
% [652]
% multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),multiply(C,multiply(V_3,
% inverse(
% multiply(
% inverse(V_4),V_4))))))
% <-> inverse(inverse(inverse(multiply(inverse(A),A)))) collapsed.
% Rule
% [657]
% multiply(V_5,multiply(inverse(multiply(V_6,multiply(V_3,V_5))),multiply(V_6,V_4)))
% <->
% multiply(multiply(A,multiply(inverse(B),B)),multiply(C,multiply(inverse(
% multiply(V_3,
% multiply(A,C))),V_4)))
% collapsed.
% Rule
% [670]
% inverse(multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% -> B collapsed.
% Rule
% [671]
% inverse(multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% -> B collapsed.
% Rule
% [678]
% inverse(multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% <-> multiply(C,inverse(inverse(inverse(multiply(inverse(V_4),V_4)))))
% collapsed.
% Rule
% [688]
% inverse(multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(
% inverse(C),C)))))
% <->
% multiply(V_3,inverse(multiply(inverse(A),multiply(B,multiply(V_3,inverse(
% inverse(
% multiply(
% inverse(V_4),V_4))))))))
% collapsed.
% Rule
% [692]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,multiply(inverse(V_3),V_3))))
% collapsed.
% Rule
% [693]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,multiply(inverse(V_3),V_3))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% collapsed.
% Rule
% [697]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,multiply(inverse(V_3),V_3))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% multiply(
% inverse(C),C))))))
% collapsed.
% Rule
% [698]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% multiply(
% inverse(C),C))))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,multiply(inverse(V_3),V_3))))
% collapsed.
% Rule
% [703]
% multiply(inverse(multiply(B,multiply(B,inverse(multiply(inverse(C),C))))),
% multiply(B,multiply(B,multiply(inverse(V_3),V_3)))) <->
% inverse(multiply(inverse(A),A)) collapsed.
% Rule
% [706]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,multiply(inverse(V_3),V_3))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% collapsed.
% Rule
% [707]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,multiply(inverse(V_3),V_3))))
% collapsed.
% Rule
% [739]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% collapsed.
% Rule
% [740]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% collapsed.
% Rule
% [741]
% multiply(inverse(multiply(A,multiply(B,multiply(B,inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))))))),
% multiply(A,V_3)) ->
% multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),V_3)) collapsed.
% Rule
% [742]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,inverse(multiply(
% inverse(V_3),V_3)))))
% collapsed.
% Rule
% [743]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% collapsed.
% Rule
% [744]
% multiply(inverse(multiply(A,multiply(c3,multiply(B,inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))))))),
% multiply(A,V_3)) ->
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),V_3)) collapsed.
% Rule
% [748]
% multiply(inverse(multiply(c3,multiply(A,multiply(B,inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))))))),
% multiply(c3,V_3)) <->
% multiply(V_4,multiply(inverse(multiply(A,multiply(B,V_4))),V_3)) collapsed.
% Rule
% [751]
% multiply(multiply(A,V_3),multiply(inverse(multiply(inverse(multiply(c3,
% multiply(c3,B))),
% multiply(c3,multiply(c3,V_3)))),C))
% -> multiply(A,multiply(B,C)) collapsed.
% Rule
% [765]
% inverse(multiply(inverse(multiply(A,multiply(A,B))),multiply(A,multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B collapsed.
% Rule
% [782]
% multiply(inverse(multiply(V_3,B)),multiply(V_3,C)) <->
% multiply(inverse(multiply(c3,B)),multiply(c3,C)) collapsed.
% Rule
% [786]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(c3,inverse(multiply(
% inverse(A),A)))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(c3,inverse(inverse(
% multiply(
% inverse(A),A))))))
% collapsed.
% Rule
% [787]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(c3,inverse(inverse(
% multiply(
% inverse(A),A))))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(c3,inverse(multiply(
% inverse(A),A)))))
% collapsed.
% Rule
% [800]
% multiply(c3,multiply(inverse(multiply(inverse(A),B)),inverse(multiply(
% inverse(C),
% multiply(c3,
% multiply(
% inverse(
% multiply(c3,B)),
% multiply(c3,A)))))))
% -> C collapsed.
% Rule
% [803]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3))))))
% <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(C,multiply(C,
% multiply(inverse(V_5),V_5)))))
% collapsed.
% Rule
% [804]
% multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(C,multiply(C,
% multiply(inverse(V_5),V_5)))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3))))))
% collapsed.
% Rule
% [809]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(B,inverse(
% multiply(
% inverse(C),C))))))
% <->
% multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(B,multiply(B,
% inverse(multiply(
% inverse(V_4),V_4))))))
% collapsed.
% Rule
% [810]
% multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(B,multiply(B,
% inverse(multiply(
% inverse(V_4),V_4))))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(B,inverse(
% multiply(
% inverse(C),C))))))
% collapsed.
% Rule
% [814]
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(multiply(
% inverse(C),C))))))),
% multiply(c3,B)) <->
% multiply(inverse(multiply(c3,inverse(multiply(inverse(A),A)))),B) collapsed.
% Rule
% [815]
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(multiply(
% inverse(V_3),V_3))))))),
% multiply(c3,C)) <-> multiply(inverse(multiply(c3,multiply(inverse(B),B))),C)
% collapsed.
% Rule
% [816]
% multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(inverse(multiply(
% inverse(V_3),V_3))))))),
% multiply(c3,C)) <-> multiply(inverse(multiply(c3,multiply(inverse(B),B))),C)
% collapsed.
% Rule
% [823]
% multiply(inverse(multiply(c3,multiply(B,multiply(C,multiply(inverse(V_4),V_4))))),
% multiply(c3,V_3)) <->
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),V_3)) collapsed.
% Rule
% [824]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,multiply(C,
% multiply(
% inverse(V_3),V_3)))))
% -> multiply(inverse(c3),c3) collapsed.
% Rule
% [829]
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,inverse(
% multiply(
% inverse(C),C)))))
% -> multiply(inverse(B),multiply(inverse(B),B)) collapsed.
% Rule
% [834]
% multiply(inverse(multiply(c3,multiply(B,inverse(inverse(multiply(inverse(C),C)))))),
% multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))) <->
% multiply(inverse(A),A) collapsed.
% Rule
% [841]
% multiply(inverse(multiply(c3,multiply(c3,B))),multiply(c3,multiply(c3,
% inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(A,multiply(A,B))),multiply(A,multiply(A,inverse(
% multiply(
% inverse(C),C)))))
% collapsed.
% Rule
% [842]
% multiply(inverse(multiply(A,multiply(A,B))),multiply(A,multiply(A,inverse(
% multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(c3,multiply(c3,B))),multiply(c3,multiply(c3,
% inverse(multiply(
% inverse(V_3),V_3)))))
% collapsed.
% Rule
% [844]
% multiply(inverse(multiply(c3,multiply(B,inverse(inverse(inverse(multiply(
% inverse(C),C))))))),
% multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))) <->
% multiply(inverse(A),A) collapsed.
% Rule
% [845]
% multiply(inverse(multiply(A,multiply(A,B))),multiply(A,multiply(A,inverse(
% multiply(
% inverse(C),C)))))
% -> multiply(inverse(B),multiply(inverse(B),B)) collapsed.
% Rule
% [852]
% multiply(inverse(multiply(A,multiply(A,B))),multiply(A,multiply(A,multiply(
% inverse(C),C))))
% -> multiply(inverse(B),multiply(inverse(B),B)) collapsed.
% Rule
% [872]
% multiply(inverse(multiply(c3,B)),multiply(c3,C)) -> multiply(inverse(B),C)
% collapsed.
% Rule
% [877]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(C),C))))
% -> multiply(inverse(B),multiply(inverse(B),B)) collapsed.
% Rule
% [879]
% multiply(inverse(multiply(c3,B)),multiply(c3,C)) -> multiply(inverse(B),C)
% collapsed.
% Rule
% [890]
% multiply(inverse(multiply(c3,B)),multiply(c3,C)) -> multiply(inverse(B),C)
% collapsed.
% Rule
% [893]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(C),C))) ->
% multiply(inverse(B),multiply(inverse(B),B)) collapsed.
% Rule
% [897]
% multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,multiply(A,
% multiply(
% inverse(V_3),V_3))))))
% -> C collapsed.
% Rule
% [904]
% multiply(C,multiply(inverse(multiply(V_3,multiply(V_4,C))),multiply(V_3,
% multiply(V_4,A))))
% <-> multiply(A,multiply(inverse(B),B)) collapsed.
% Rule
% [908]
% multiply(inverse(multiply(c3,B)),multiply(c3,C)) <->
% multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),multiply(
% inverse(B),C))
% collapsed.
% Rule
% [917]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(C),
% multiply(inverse(B),
% multiply(inverse(V_3),V_3))))))
% -> C collapsed.
% Rule
% [924]
% multiply(inverse(multiply(C,A)),multiply(C,inverse(inverse(multiply(inverse(V_3),V_3)))))
% -> multiply(inverse(A),multiply(inverse(A),A)) collapsed.
% Rule
% [927]
% multiply(inverse(multiply(V_3,inverse(inverse(multiply(inverse(V_4),V_4))))),
% multiply(V_3,C)) -> C collapsed.
% Rule
% [934]
% multiply(V_3,multiply(inverse(multiply(V_4,multiply(inverse(A),V_3))),
% multiply(V_4,C))) -> multiply(A,C) collapsed.
% Rule
% [936]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,multiply(inverse(C),C))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,multiply(inverse(V_3),V_3))))
% collapsed.
% Rule
% [937]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,multiply(inverse(V_3),V_3))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,multiply(inverse(C),C))))
% collapsed.
% Rule
% [943]
% multiply(inverse(multiply(c3,B)),multiply(c3,inverse(inverse(inverse(
% multiply(
% inverse(C),C))))))
% -> multiply(inverse(B),multiply(inverse(B),B)) collapsed.
% Rule
% [947]
% multiply(inverse(multiply(c3,multiply(V_3,B))),multiply(c3,multiply(V_3,C)))
% -> multiply(inverse(multiply(c3,B)),multiply(c3,C)) collapsed.
% Rule
% [948]
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(multiply(
% inverse(
% multiply(c3,A)),
% multiply(c3,B)))))))
% <->
% multiply(inverse(multiply(c3,multiply(V_3,B))),multiply(c3,multiply(V_3,A)))
% collapsed.
% Rule
% [949]
% multiply(inverse(multiply(c3,multiply(V_3,B))),multiply(c3,multiply(V_3,A)))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(multiply(
% inverse(
% multiply(c3,A)),
% multiply(c3,B)))))))
% collapsed.
% Rule
% [950]
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(multiply(
% inverse(A),B))))))
% <->
% multiply(inverse(multiply(c3,multiply(c3,B))),multiply(c3,multiply(c3,A)))
% collapsed.
% Rule
% [952]
% multiply(inverse(multiply(c3,multiply(c3,B))),multiply(c3,multiply(c3,C))) ->
% multiply(inverse(B),C) collapsed.
% Rule
% [953]
% multiply(inverse(multiply(c3,multiply(c3,B))),multiply(c3,multiply(c3,A)))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(multiply(
% inverse(A),B))))))
% collapsed.
% Rule
% [955]
% multiply(inverse(multiply(c3,multiply(c3,C))),multiply(c3,multiply(c3,V_3)))
% <-> multiply(inverse(multiply(B,C)),multiply(B,V_3)) collapsed.
% Rule
% [956]
% multiply(inverse(multiply(A,multiply(B,multiply(B,multiply(inverse(C),C))))),
% multiply(A,V_3)) ->
% multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),V_3)) collapsed.
% Rule
% [957]
% multiply(inverse(multiply(A,multiply(c3,multiply(B,multiply(inverse(C),C))))),
% multiply(A,V_3)) ->
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),V_3)) collapsed.
% Rule
% [958]
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,multiply(
% inverse(C),C))))
% -> multiply(inverse(B),multiply(inverse(B),B)) collapsed.
% Rule
% [964]
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),multiply(c3,C))
% <-> multiply(inverse(multiply(A,multiply(inverse(c3),c3))),C) collapsed.
% Rule
% [966]
% multiply(inverse(multiply(c3,multiply(c3,B))),multiply(c3,multiply(c3,
% inverse(multiply(
% inverse(A),
% multiply(
% inverse(B),
% multiply(
% inverse(B),B)))))))
% -> A collapsed.
% Rule
% [968]
% multiply(inverse(multiply(A,multiply(c3,multiply(inverse(B),B)))),multiply(A,C))
% -> multiply(inverse(c3),C) collapsed.
% Rule
% [972]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(C),
% multiply(inverse(B),
% inverse(inverse(multiply(
% inverse(V_3),V_3))))))))
% -> C collapsed.
% Rule
% [977]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,multiply(C,
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <-> multiply(inverse(V_4),V_4) collapsed.
% Rule
% [998]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(C),
% multiply(inverse(B),
% inverse(inverse(inverse(
% multiply(
% inverse(V_3),V_3)))))))))
% -> C collapsed.
% Rule
% [1011]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(B,multiply(C,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% <-> multiply(inverse(V_4),V_4) collapsed.
% Rule
% [1012]
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(multiply(
% inverse(A),B))))))
% <-> multiply(inverse(multiply(c3,B)),multiply(c3,A)) collapsed.
% Rule
% [1013]
% multiply(inverse(multiply(c3,B)),multiply(c3,A)) <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(multiply(
% inverse(A),B))))))
% collapsed.
% Rule
% [1015]
% multiply(c3,multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),
% multiply(c3,multiply(c3,inverse(multiply(c3,multiply(
% inverse(A),c3))))))))
% <->
% multiply(A,multiply(inverse(multiply(c3,multiply(inverse(B),B))),inverse(
% multiply(
% inverse(C),C))))
% collapsed.
% Rule
% [1016]
% inverse(multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(C,inverse(
% multiply(
% inverse(V_5),V_5))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,multiply(
% inverse(V_3),V_3))))))
% collapsed.
% Rule
% [1019]
% inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(C,multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(V_4,inverse(multiply(inverse(B),multiply(C,multiply(V_4,inverse(
% multiply(
% inverse(V_5),V_5)))))))
% collapsed.
% Rule
% [1022]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(inverse(A),multiply(
% inverse(C),C))))
% <-> multiply(inverse(A),multiply(inverse(A),multiply(inverse(B),B)))
% collapsed.
% Rule
% [1057]
% multiply(inverse(multiply(inverse(multiply(c3,C)),multiply(c3,V_3))),
% multiply(inverse(multiply(inverse(V_3),C)),B)) -> B collapsed.
% Rule
% [1059]
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),multiply(c3,C))
% <-> multiply(inverse(multiply(A,inverse(multiply(inverse(V_3),V_3)))),C)
% collapsed.
% Rule
% [1062]
% multiply(inverse(multiply(A,multiply(c3,multiply(inverse(B),B)))),multiply(A,C))
% <-> multiply(inverse(multiply(c3,inverse(multiply(inverse(V_3),V_3)))),C)
% collapsed.
% Rule
% [1065]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(B),inverse(
% multiply(
% inverse(V_3),V_3)))))
% <-> multiply(inverse(B),multiply(inverse(B),multiply(inverse(C),C)))
% collapsed.
% Rule
% [1068]
% multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))))))
% -> C collapsed.
% Rule
% [1069]
% inverse(multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))
% -> B collapsed.
% Rule
% [1091]
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(multiply(
% inverse(A),
% multiply(B,
% multiply(B,
% inverse(
% multiply(
% inverse(C),C))))))))))
% <-> multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),A)) collapsed.
% Rule
% [1094]
% inverse(multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(C,inverse(
% inverse(
% multiply(
% inverse(V_5),V_5)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,multiply(
% inverse(V_3),V_3))))))
% collapsed.
% Rule
% [1096]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(B),multiply(
% inverse(V_3),V_3))))
% <-> multiply(inverse(B),multiply(inverse(B),inverse(multiply(inverse(C),C))))
% collapsed.
% Rule
% [1102]
% multiply(c3,multiply(inverse(multiply(c3,multiply(c3,c3))),multiply(c3,
% multiply(c3,
% inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(A),A)))))))))
% <-> multiply(inverse(B),B) collapsed.
% Rule
% [1126]
% multiply(multiply(A,V_5),multiply(inverse(multiply(C,multiply(inverse(
% multiply(c3,B)),
% multiply(c3,V_5)))),V_4))
% <->
% multiply(multiply(A,B),multiply(inverse(multiply(C,multiply(inverse(V_3),V_3))),V_4))
% collapsed.
% Rule
% [1127]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(B),inverse(
% multiply(
% inverse(V_3),V_3)))))
% <-> multiply(inverse(B),multiply(inverse(B),multiply(inverse(C),C)))
% collapsed.
% Rule
% [1130]
% multiply(inverse(multiply(c3,multiply(V_3,multiply(inverse(V_4),V_4)))),
% multiply(c3,multiply(V_3,C))) -> C collapsed.
% Rule
% [1131]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(B),inverse(
% multiply(
% inverse(V_3),V_3)))))
% <-> multiply(inverse(B),multiply(inverse(B),inverse(multiply(inverse(C),C))))
% collapsed.
% Rule
% [1133]
% multiply(inverse(multiply(c3,V_5)),multiply(c3,multiply(inverse(multiply(C,
% multiply(V_3,
% inverse(V_5)))),V_4)))
% <-> multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),V_4)) collapsed.
% Rule
% [1135]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(C,multiply(C,multiply(
% inverse(V_4),V_4)))))
% <-> multiply(inverse(B),multiply(C,multiply(C,multiply(inverse(V_3),V_3))))
% collapsed.
% Rule
% [1139]
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,multiply(inverse(V_3),V_3))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% collapsed.
% Rule
% [1140]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,multiply(inverse(V_3),V_3))))
% collapsed.
% Rule
% [1145]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(inverse(A),inverse(
% inverse(
% multiply(
% inverse(C),C))))))
% <-> multiply(inverse(A),multiply(inverse(A),multiply(inverse(B),B)))
% collapsed.
% Rule
% [1149]
% inverse(multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(inverse(C),
% multiply(inverse(C),C)))))
% -> inverse(multiply(inverse(B),multiply(inverse(C),multiply(inverse(C),C))))
% collapsed.
% Rule
% [1166]
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% -> multiply(inverse(B),multiply(inverse(B),B)) collapsed.
% Current number of equations to process: 1303
% Current number of ordered equations: 0
% Current number of rules: 168
% Rule [1143]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),multiply(
% inverse(c3),c3))) is composed into 
% [1143]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% -> multiply(c3,inverse(multiply(c3,multiply(B,c3))))
% Rule [1141]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% <->
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,multiply(
% inverse(V_4),V_4)))))) is composed into 
% [1141]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% <-> multiply(V_3,inverse(multiply(B,multiply(c3,V_3))))
% Rule [1108]
% multiply(inverse(multiply(inverse(inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(A),A))))))),B)),
% inverse(multiply(inverse(C),C))) ->
% multiply(inverse(B),multiply(inverse(B),B)) is composed into [1108]
% multiply(
% inverse(
% multiply(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(A),A))))))),B)),
% inverse(
% multiply(
% inverse(C),C)))
% ->
% inverse(B)
% Rule [1085]
% multiply(inverse(multiply(inverse(inverse(inverse(inverse(multiply(
% inverse(A),A))))),B)),
% inverse(multiply(inverse(C),C))) ->
% multiply(inverse(B),multiply(inverse(B),B)) is composed into [1085]
% multiply(
% inverse(
% multiply(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(A),A))))),B)),
% inverse(
% multiply(
% inverse(C),C)))
% ->
% inverse(B)
% Rule [1083]
% multiply(inverse(multiply(inverse(inverse(inverse(inverse(inverse(
% multiply(
% inverse(A),A)))))),B)),
% inverse(multiply(inverse(C),C))) ->
% multiply(inverse(B),multiply(inverse(B),B)) is composed into [1083]
% multiply(
% inverse(
% multiply(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(A),A)))))),B)),
% inverse(
% multiply(
% inverse(C),C)))
% ->
% inverse(B)
% Rule [1072]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),multiply(
% inverse(V_3),V_3))) is composed into 
% [1072]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))))
% -> multiply(c3,inverse(multiply(c3,multiply(B,c3))))
% Rule [1047]
% multiply(A,multiply(inverse(multiply(C,A)),inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(A),A)))))))
% <->
% multiply(c3,multiply(inverse(multiply(C,c3)),multiply(inverse(c3),c3))) is composed into 
% [1047]
% multiply(A,multiply(inverse(multiply(C,A)),inverse(inverse(inverse(inverse(
% multiply(
% inverse(A),A)))))))
% -> multiply(c3,inverse(multiply(C,c3)))
% Rule [1020]
% multiply(V_4,inverse(multiply(inverse(B),multiply(C,multiply(V_4,
% inverse(multiply(
% inverse(V_5),V_5)))))))
% <-> inverse(multiply(inverse(B),multiply(C,multiply(inverse(V_3),V_3)))) is composed into 
% [1020]
% multiply(V_4,inverse(multiply(inverse(B),multiply(C,multiply(V_4,inverse(
% multiply(
% inverse(V_5),V_5)))))))
% -> inverse(multiply(inverse(B),C))
% Rule [1006]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),inverse(
% inverse(
% multiply(
% inverse(C),C)))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),multiply(
% inverse(V_3),V_3))) is composed into 
% [1006]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),inverse(inverse(
% multiply(
% inverse(C),C)))))
% -> multiply(c3,inverse(multiply(c3,multiply(B,c3))))
% Rule [971]
% multiply(V_3,inverse(multiply(B,multiply(A,multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(B,multiply(A,multiply(A,multiply(inverse(C),C)))))) is composed into 
% [971]
% multiply(V_3,inverse(multiply(B,multiply(A,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% <-> multiply(A,inverse(multiply(B,multiply(A,A))))
% Rule [959]
% multiply(A,multiply(inverse(multiply(C,A)),inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(A),A))))))))
% <->
% multiply(c3,multiply(inverse(multiply(C,c3)),multiply(inverse(c3),c3))) is composed into 
% [959]
% multiply(A,multiply(inverse(multiply(C,A)),inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(A),A))))))))
% -> multiply(c3,inverse(multiply(C,c3)))
% Rule [923]
% inverse(multiply(c3,multiply(inverse(multiply(A,c3)),inverse(inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(A),A)))))))))
% <-> multiply(A,multiply(inverse(C),C)) is composed into [923]
% inverse(
% multiply(c3,
% multiply(
% inverse(
% multiply(A,c3)),
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(A),A)))))))))
% -> A
% Rule [896]
% multiply(V_4,multiply(inverse(multiply(B,multiply(inverse(A),V_4))),V_3))
% <->
% multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),C))),V_3)) is composed into 
% [896]
% multiply(V_4,multiply(inverse(multiply(B,multiply(inverse(A),V_4))),V_3)) ->
% multiply(A,multiply(inverse(B),V_3))
% Rule [801]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% <->
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,multiply(
% inverse(V_4),V_4)))))) is composed into 
% [801]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% <-> multiply(V_3,inverse(multiply(B,multiply(c3,V_3))))
% Rule [795]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(inverse(
% multiply(
% inverse(C),C))))))))
% <->
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,multiply(
% inverse(V_4),V_4)))))) is composed into 
% [795]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(inverse(
% multiply(
% inverse(C),C))))))))
% <-> multiply(V_3,inverse(multiply(B,multiply(c3,V_3))))
% Rule [780]
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(V_3),V_3)))))))
% <-> inverse(multiply(B,multiply(c3,multiply(inverse(C),C)))) is composed into 
% [780]
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(V_3),V_3)))))))
% -> inverse(multiply(B,c3))
% Rule [715]
% multiply(c3,multiply(inverse(multiply(A,multiply(B,c3))),multiply(c3,
% inverse(
% multiply(
% inverse(C),C)))))
% <->
% multiply(V_3,multiply(inverse(multiply(A,multiply(B,V_3))),multiply(c3,
% multiply(
% inverse(V_4),V_4)))) is composed into 
% [715]
% multiply(c3,multiply(inverse(multiply(A,multiply(B,c3))),multiply(c3,
% inverse(multiply(
% inverse(C),C)))))
% <-> multiply(V_3,multiply(inverse(multiply(A,multiply(B,V_3))),c3))
% Rule [690]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(c3,
% inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(c3,multiply(inverse(multiply(B,multiply(C,c3))),multiply(c3,
% multiply(
% inverse(V_4),V_4)))) is composed into 
% [690]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(c3,inverse(
% multiply(
% inverse(V_3),V_3)))))
% <-> multiply(c3,multiply(inverse(multiply(B,multiply(C,c3))),c3))
% Rule [689]
% multiply(V_3,inverse(multiply(inverse(A),multiply(B,multiply(V_3,
% inverse(inverse(
% multiply(
% inverse(V_4),V_4))))))))
% <-> inverse(multiply(inverse(A),multiply(B,multiply(inverse(C),C)))) is composed into 
% [689]
% multiply(V_3,inverse(multiply(inverse(A),multiply(B,multiply(V_3,inverse(
% inverse(
% multiply(
% inverse(V_4),V_4))))))))
% -> inverse(multiply(inverse(A),B))
% Rule [614]
% multiply(V_3,inverse(multiply(inverse(B),multiply(C,multiply(V_3,
% inverse(inverse(
% multiply(
% inverse(V_4),V_4))))))))
% <-> inverse(multiply(inverse(B),multiply(C,multiply(inverse(c3),c3)))) is composed into 
% [614]
% multiply(V_3,inverse(multiply(inverse(B),multiply(C,multiply(V_3,inverse(
% inverse(
% multiply(
% inverse(V_4),V_4))))))))
% -> inverse(multiply(inverse(B),C))
% Rule [605]
% multiply(C,inverse(multiply(inverse(B),multiply(A,multiply(C,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,multiply(
% inverse(c3),c3)))))) is composed into 
% [605]
% multiply(C,inverse(multiply(inverse(B),multiply(A,multiply(C,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% <-> multiply(A,inverse(multiply(inverse(B),multiply(A,A))))
% Rule [545]
% multiply(C,inverse(multiply(inverse(B),multiply(C,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,multiply(
% inverse(c3),c3)))))) is composed into 
% [545]
% multiply(C,inverse(multiply(inverse(B),multiply(C,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <-> multiply(A,inverse(multiply(inverse(B),multiply(C,A))))
% Rule [477]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),inverse(
% multiply(
% inverse(C),C))))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),multiply(
% inverse(c3),c3))) is composed into 
% [477]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),inverse(multiply(
% inverse(C),C))))
% -> multiply(c3,inverse(multiply(c3,multiply(B,c3))))
% Rule [444]
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,multiply(inverse(C),C)))))) is composed into 
% [444]
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% <-> multiply(A,inverse(multiply(B,multiply(c3,A))))
% Rule [5]
% multiply(inverse(multiply(inverse(multiply(C,V_4)),B)),V_3) <->
% multiply(inverse(B),multiply(C,inverse(multiply(inverse(V_3),multiply(
% inverse(V_4),
% multiply(
% inverse(V_4),V_4)))))) is composed into 
% [5]
% multiply(inverse(multiply(inverse(multiply(C,V_4)),B)),V_3) <->
% multiply(inverse(B),multiply(C,inverse(multiply(inverse(V_3),inverse(V_4)))))
% New rule produced : [1176] multiply(A,multiply(inverse(B),B)) -> A
% Rule
% [443]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,multiply(inverse(C),C))))))
% <->
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% collapsed.
% Rule
% [450]
% multiply(inverse(A),multiply(c3,multiply(B,multiply(B,multiply(inverse(V_3),V_3)))))
% <->
% multiply(inverse(A),multiply(c3,multiply(B,multiply(B,inverse(multiply(
% inverse(C),C))))))
% collapsed.
% Rule
% [546]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,multiply(
% inverse(c3),c3))))))
% <->
% multiply(C,inverse(multiply(inverse(B),multiply(C,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% collapsed.
% Rule
% [592]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,multiply(
% inverse(c3),c3))))))
% -> multiply(c3,inverse(multiply(inverse(B),multiply(C,c3)))) collapsed.
% Rule
% [606]
% multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,multiply(
% inverse(c3),c3))))))
% <->
% multiply(C,inverse(multiply(inverse(B),multiply(A,multiply(C,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% collapsed.
% Rule
% [658]
% multiply(multiply(A,multiply(inverse(B),B)),multiply(C,multiply(inverse(
% multiply(V_3,
% multiply(A,C))),V_4)))
% <-> multiply(V_5,multiply(inverse(multiply(V_3,V_5)),V_4)) collapsed.
% Rule
% [662]
% multiply(multiply(A,multiply(inverse(B),B)),multiply(C,V_3)) <->
% multiply(multiply(A,multiply(inverse(c3),c3)),multiply(C,V_3)) collapsed.
% Rule
% [691]
% multiply(c3,multiply(inverse(multiply(B,multiply(C,c3))),multiply(c3,
% multiply(inverse(V_4),V_4))))
% <->
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(c3,inverse(
% multiply(
% inverse(V_3),V_3)))))
% collapsed.
% Rule
% [694]
% multiply(A,multiply(inverse(multiply(B,multiply(multiply(C,multiply(inverse(V_3),V_3)),A))),V_4))
% <->
% multiply(c3,multiply(inverse(multiply(B,multiply(multiply(C,multiply(
% inverse(c3),c3)),c3))),V_4))
% collapsed.
% Rule
% [695]
% multiply(c3,multiply(inverse(multiply(B,multiply(multiply(C,multiply(
% inverse(c3),c3)),c3))),V_4))
% <->
% multiply(A,multiply(inverse(multiply(B,multiply(multiply(C,multiply(inverse(V_3),V_3)),A))),V_4))
% collapsed.
% Rule
% [713]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(c3,multiply(
% inverse(V_3),V_3))))
% <->
% multiply(c3,multiply(inverse(multiply(B,multiply(C,c3))),multiply(c3,
% multiply(inverse(V_4),V_4))))
% collapsed.
% Rule
% [714]
% multiply(c3,multiply(inverse(multiply(B,multiply(C,c3))),multiply(c3,
% multiply(inverse(V_4),V_4))))
% <->
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(c3,multiply(
% inverse(V_3),V_3))))
% collapsed.
% Rule
% [716]
% multiply(V_3,multiply(inverse(multiply(A,multiply(B,V_3))),multiply(c3,
% multiply(inverse(V_4),V_4))))
% <->
% multiply(c3,multiply(inverse(multiply(A,multiply(B,c3))),multiply(c3,
% inverse(multiply(
% inverse(C),C)))))
% collapsed.
% Rule
% [768]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,multiply(inverse(C),C))))))
% <-> inverse(multiply(B,multiply(c3,inverse(multiply(inverse(V_3),V_3)))))
% collapsed.
% Rule
% [770]
% multiply(c3,inverse(multiply(A,multiply(c3,multiply(c3,multiply(inverse(B),B))))))
% -> inverse(multiply(A,c3)) collapsed.
% Rule
% [792]
% multiply(A,inverse(multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),
% multiply(A,multiply(inverse(V_4),V_4)))))) ->
% multiply(C,V_3) collapsed.
% Rule
% [796]
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,multiply(inverse(V_4),V_4))))))
% <->
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(inverse(
% multiply(
% inverse(C),C))))))))
% collapsed.
% Rule
% [799]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,multiply(inverse(C),C))))))
% <->
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,multiply(inverse(V_4),V_4))))))
% collapsed.
% Rule
% [802]
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,multiply(inverse(V_4),V_4))))))
% <->
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% collapsed.
% Rule
% [854]
% inverse(multiply(A,multiply(inverse(multiply(B,A)),multiply(inverse(c3),c3))))
% <-> multiply(B,inverse(inverse(multiply(inverse(C),C)))) collapsed.
% Rule
% [895]
% multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),C))),V_3)) <->
% multiply(V_4,multiply(inverse(multiply(B,multiply(inverse(A),V_4))),V_3))
% collapsed.
% Rule
% [898]
% multiply(A,multiply(B,inverse(multiply(inverse(C),multiply(A,multiply(B,
% multiply(
% inverse(V_3),V_3)))))))
% -> C collapsed.
% Rule
% [903]
% multiply(A,multiply(inverse(B),B)) <-> multiply(C,multiply(inverse(C),A))
% collapsed.
% Rule
% [939]
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),multiply(inverse(c3),c3)))
% <->
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(inverse(C),C)))
% collapsed.
% Rule
% [960]
% multiply(c3,multiply(inverse(multiply(C,c3)),multiply(inverse(c3),c3))) <->
% multiply(A,multiply(inverse(multiply(C,A)),inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(A),A))))))))
% collapsed.
% Rule
% [963]
% multiply(A,multiply(inverse(multiply(B,A)),multiply(inverse(c3),c3))) <->
% multiply(V_3,multiply(inverse(multiply(B,V_3)),multiply(inverse(c3),c3)))
% collapsed.
% Rule
% [970]
% multiply(A,inverse(multiply(B,multiply(A,multiply(A,multiply(inverse(C),C))))))
% <->
% multiply(V_3,inverse(multiply(B,multiply(A,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% collapsed.
% Rule
% [1005]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(inverse(C),C)))
% <->
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),multiply(inverse(V_3),V_3)))
% collapsed.
% Rule
% [1007]
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),multiply(inverse(V_3),V_3)))
% <->
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),inverse(inverse(
% multiply(
% inverse(C),C)))))
% collapsed.
% Rule
% [1008]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),multiply(inverse(C),C)))
% <->
% multiply(V_3,multiply(inverse(multiply(c3,multiply(B,V_3))),multiply(
% inverse(c3),c3)))
% collapsed.
% Rule
% [1014]
% multiply(A,multiply(inverse(multiply(c3,multiply(inverse(B),B))),inverse(
% multiply(
% inverse(C),C))))
% <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(
% inverse(A),c3))))))
% collapsed.
% Rule
% [1017]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,multiply(
% inverse(V_3),V_3))))))
% <->
% inverse(multiply(inverse(B),multiply(C,inverse(multiply(inverse(V_5),V_5)))))
% collapsed.
% Rule
% [1042]
% multiply(multiply(A,multiply(inverse(B),B)),multiply(multiply(A,multiply(
% inverse(C),C)),V_3))
% <->
% multiply(multiply(A,multiply(A,V_4)),multiply(inverse(multiply(V_4,multiply(
% inverse(c3),c3))),V_3))
% collapsed.
% Rule
% [1043]
% multiply(multiply(A,multiply(A,V_4)),multiply(inverse(multiply(V_4,multiply(
% inverse(c3),c3))),V_3))
% <->
% multiply(multiply(A,multiply(inverse(B),B)),multiply(multiply(A,multiply(
% inverse(C),C)),V_3))
% collapsed.
% Rule
% [1044]
% multiply(multiply(C,multiply(V_3,V_6)),multiply(inverse(multiply(V_6,
% multiply(inverse(C),C))),V_4))
% <->
% multiply(multiply(C,multiply(V_3,B)),multiply(inverse(multiply(B,multiply(
% inverse(C),C))),V_4))
% collapsed.
% Rule
% [1046]
% multiply(multiply(A,multiply(C,c3)),multiply(inverse(multiply(c3,multiply(
% inverse(C),C))),V_3))
% <-> multiply(multiply(A,multiply(inverse(B),B)),multiply(C,V_3)) collapsed.
% Rule
% [1048]
% multiply(c3,multiply(inverse(multiply(C,c3)),multiply(inverse(c3),c3))) <->
% multiply(A,multiply(inverse(multiply(C,A)),inverse(inverse(inverse(inverse(
% multiply(
% inverse(A),A)))))))
% collapsed.
% Rule
% [1052]
% multiply(multiply(c3,multiply(A,V_3)),multiply(inverse(multiply(V_3,multiply(
% inverse(c3),c3))),B))
% -> multiply(c3,multiply(A,B)) collapsed.
% Rule
% [1063]
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,multiply(inverse(V_4),V_4))))))
% <-> inverse(multiply(B,multiply(c3,multiply(inverse(C),C)))) collapsed.
% Rule
% [1073]
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),multiply(inverse(V_3),V_3)))
% <->
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))))
% collapsed.
% Rule
% [1095]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,multiply(
% inverse(V_3),V_3))))))
% <->
% inverse(multiply(inverse(B),multiply(C,inverse(inverse(multiply(inverse(V_5),V_5))))))
% collapsed.
% Rule
% [1123]
% multiply(inverse(A),multiply(inverse(A),A)) <->
% multiply(c3,multiply(inverse(c3),inverse(A))) collapsed.
% Rule
% [1125]
% multiply(multiply(A,B),multiply(inverse(multiply(C,multiply(inverse(V_3),V_3))),V_4))
% <->
% multiply(multiply(A,V_5),multiply(inverse(multiply(C,multiply(inverse(B),V_5))),V_4))
% collapsed.
% Rule
% [1142]
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,multiply(inverse(V_4),V_4))))))
% <->
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% collapsed.
% Rule
% [1144]
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),multiply(inverse(c3),c3)))
% <->
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% collapsed.
% Rule
% [1160]
% multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),multiply(
% inverse(B),
% inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(B),
% multiply(
% inverse(B),B))))))
% -> C collapsed.
% Rule [1172] inverse(multiply(inverse(C),multiply(inverse(B),B))) -> C
% collapsed.
% Current number of equations to process: 1335
% Current number of ordered equations: 0
% Current number of rules: 122
% Rule [942]
% multiply(V_4,multiply(inverse(multiply(B,multiply(inverse(A),V_4))),V_3))
% <->
% multiply(A,multiply(inverse(multiply(B,inverse(inverse(inverse(multiply(
% inverse(C),C)))))),V_3)) is composed into 
% [942]
% multiply(V_4,multiply(inverse(multiply(B,multiply(inverse(A),V_4))),V_3)) <->
% multiply(A,multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),V_3))
% Rule [919]
% multiply(V_4,multiply(inverse(multiply(B,multiply(inverse(A),V_4))),V_3))
% <->
% multiply(A,multiply(inverse(multiply(B,inverse(inverse(multiply(
% inverse(C),C))))),V_3)) is composed into 
% [919]
% multiply(V_4,multiply(inverse(multiply(B,multiply(inverse(A),V_4))),V_3)) <->
% multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),C))),V_3))
% Rule [888]
% multiply(inverse(B),B) <->
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(A),A)))))) is composed into 
% [888] multiply(inverse(B),B) <-> inverse(multiply(inverse(A),A))
% Rule [886]
% multiply(inverse(B),B) <->
% inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(
% multiply(
% inverse(A),A))))))))) is composed into 
% [886] multiply(inverse(B),B) <-> multiply(inverse(A),A)
% Rule [884]
% multiply(inverse(B),B) <->
% inverse(inverse(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))))) is composed into 
% [884] multiply(inverse(B),B) <-> multiply(inverse(A),A)
% Rule [882]
% multiply(inverse(B),B) <->
% inverse(inverse(inverse(inverse(multiply(inverse(A),A))))) is composed into 
% [882] multiply(inverse(B),B) <-> multiply(inverse(A),A)
% Rule [746]
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))) is composed into 
% [746]
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,multiply(inverse(C),C))))))
% Rule [612]
% multiply(V_4,inverse(multiply(inverse(B),multiply(C,multiply(V_4,
% inverse(multiply(
% inverse(V_5),V_5)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))) is composed into 
% [612]
% multiply(V_4,inverse(multiply(inverse(B),multiply(C,multiply(V_4,inverse(
% multiply(
% inverse(V_5),V_5)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,multiply(
% inverse(V_3),V_3))))))
% Rule [589]
% multiply(V_3,inverse(multiply(B,multiply(A,multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(B,multiply(A,multiply(A,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))))))) is composed into 
% [589]
% multiply(V_3,inverse(multiply(B,multiply(A,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(B,multiply(A,multiply(A,inverse(multiply(
% inverse(C),C)))))))
% Rule [584]
% multiply(V_3,inverse(multiply(B,multiply(A,multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(B,multiply(A,multiply(A,inverse(inverse(
% multiply(
% inverse(C),C)))))))) is composed into 
% [584]
% multiply(V_3,inverse(multiply(B,multiply(A,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(B,multiply(A,multiply(A,multiply(inverse(C),C))))))
% Rule [491]
% multiply(inverse(B),B) <->
% inverse(inverse(inverse(multiply(inverse(A),A)))) is composed into 
% [491] multiply(inverse(B),B) <-> inverse(multiply(inverse(A),A))
% Rule [489]
% multiply(inverse(B),B) <-> inverse(inverse(multiply(inverse(A),A))) is composed into 
% [489] multiply(inverse(B),B) <-> multiply(inverse(A),A)
% Rule [440]
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))))))) is composed into 
% [440]
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(multiply(
% inverse(C),C)))))))
% Rule [354]
% inverse(multiply(A,multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% <->
% inverse(multiply(A,multiply(c3,multiply(B,inverse(inverse(multiply(
% inverse(C),C))))))) is composed into 
% [354]
% inverse(multiply(A,multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% <-> inverse(multiply(A,multiply(c3,multiply(B,multiply(inverse(C),C)))))
% Rule [338]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% inverse(multiply(inverse(B),multiply(C,inverse(inverse(multiply(
% inverse(V_5),V_5)))))) is composed into 
% [338]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <-> inverse(multiply(inverse(B),multiply(C,multiply(inverse(V_5),V_5))))
% New rule produced : [1177] inverse(inverse(C)) -> C
% Rule
% [257]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(inverse(
% multiply(
% inverse(C),C))))))))
% <->
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% collapsed.
% Rule
% [339]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% <->
% inverse(multiply(inverse(B),multiply(C,inverse(multiply(inverse(V_5),V_5)))))
% collapsed.
% Rule
% [427]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% <->
% inverse(multiply(inverse(B),multiply(C,inverse(inverse(multiply(inverse(V_5),V_5))))))
% collapsed.
% Rule
% [439]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% <->
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% collapsed.
% Rule
% [488] inverse(inverse(multiply(inverse(A),A))) <-> multiply(inverse(B),B)
% collapsed.
% Rule
% [490]
% inverse(inverse(inverse(multiply(inverse(A),A)))) <-> multiply(inverse(B),B)
% collapsed.
% Rule
% [583]
% multiply(A,inverse(multiply(B,multiply(A,multiply(A,inverse(inverse(multiply(
% inverse(C),C))))))))
% <->
% multiply(V_3,inverse(multiply(B,multiply(A,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% collapsed.
% Rule
% [588]
% multiply(A,inverse(multiply(B,multiply(A,multiply(A,inverse(inverse(inverse(
% multiply(
% inverse(C),C)))))))))
% <->
% multiply(V_3,inverse(multiply(B,multiply(A,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% collapsed.
% Rule
% [590]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% -> multiply(c3,inverse(multiply(inverse(B),multiply(C,c3)))) collapsed.
% Rule
% [595]
% multiply(A,multiply(B,inverse(multiply(inverse(C),multiply(A,multiply(B,
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))
% -> C collapsed.
% Rule
% [597]
% multiply(A,multiply(B,inverse(multiply(inverse(C),multiply(A,multiply(B,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))))
% -> C collapsed.
% Rule
% [605]
% multiply(C,inverse(multiply(inverse(B),multiply(A,multiply(C,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% <-> multiply(A,inverse(multiply(inverse(B),multiply(A,A)))) collapsed.
% Rule
% [611]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% <->
% multiply(V_4,inverse(multiply(inverse(B),multiply(C,multiply(V_4,inverse(
% multiply(
% inverse(V_5),V_5)))))))
% collapsed.
% Rule
% [614]
% multiply(V_3,inverse(multiply(inverse(B),multiply(C,multiply(V_3,inverse(
% inverse(
% multiply(
% inverse(V_4),V_4))))))))
% -> inverse(multiply(inverse(B),C)) collapsed.
% Rule
% [651]
% inverse(inverse(inverse(multiply(inverse(A),A)))) <->
% inverse(inverse(inverse(multiply(inverse(c3),c3)))) collapsed.
% Rule
% [689]
% multiply(V_3,inverse(multiply(inverse(A),multiply(B,multiply(V_3,inverse(
% inverse(
% multiply(
% inverse(V_4),V_4))))))))
% -> inverse(multiply(inverse(A),B)) collapsed.
% Rule
% [733]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))
% -> multiply(c3,inverse(multiply(inverse(B),multiply(C,c3)))) collapsed.
% Rule
% [736]
% multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% <->
% multiply(V_3,inverse(multiply(inverse(B),multiply(A,multiply(V_3,inverse(
% inverse(
% multiply(
% inverse(V_4),V_4))))))))
% collapsed.
% Rule
% [737]
% multiply(V_3,inverse(multiply(inverse(B),multiply(A,multiply(V_3,inverse(
% inverse(
% multiply(
% inverse(V_4),V_4))))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% collapsed.
% Rule
% [738]
% multiply(A,inverse(multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),
% multiply(A,inverse(inverse(multiply(inverse(V_4),V_4))))))))
% -> multiply(C,V_3) collapsed.
% Rule
% [745]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% <->
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% collapsed.
% Rule
% [795]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(inverse(
% multiply(
% inverse(C),C))))))))
% <-> multiply(V_3,inverse(multiply(B,multiply(c3,V_3)))) collapsed.
% Rule
% [801]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% <-> multiply(V_3,inverse(multiply(B,multiply(c3,V_3)))) collapsed.
% Rule
% [881]
% inverse(inverse(inverse(inverse(multiply(inverse(A),A))))) <->
% multiply(inverse(B),B) collapsed.
% Rule
% [883]
% inverse(inverse(inverse(inverse(inverse(inverse(multiply(inverse(A),A)))))))
% <-> multiply(inverse(B),B) collapsed.
% Rule
% [885]
% inverse(inverse(inverse(inverse(inverse(inverse(inverse(inverse(multiply(
% inverse(A),A)))))))))
% <-> multiply(inverse(B),B) collapsed.
% Rule
% [887]
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(A),A)))))) <->
% multiply(inverse(B),B) collapsed.
% Rule
% [889]
% multiply(inverse(multiply(inverse(A),B)),inverse(inverse(multiply(inverse(C),C))))
% -> multiply(inverse(B),A) collapsed.
% Rule
% [907]
% multiply(inverse(multiply(inverse(A),B)),inverse(inverse(inverse(multiply(
% inverse(C),C)))))
% -> multiply(inverse(B),A) collapsed.
% Rule
% [909]
% multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),multiply(
% inverse(B),C))
% -> multiply(inverse(B),C) collapsed.
% Rule
% [918]
% multiply(A,multiply(inverse(multiply(B,inverse(inverse(multiply(inverse(C),C))))),V_3))
% <-> multiply(V_4,multiply(inverse(multiply(B,multiply(inverse(A),V_4))),V_3))
% collapsed.
% Rule
% [923]
% inverse(multiply(c3,multiply(inverse(multiply(A,c3)),inverse(inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(A),A)))))))))
% -> A collapsed.
% Rule
% [941]
% multiply(A,multiply(inverse(multiply(B,inverse(inverse(inverse(multiply(
% inverse(C),C)))))),V_3))
% <-> multiply(V_4,multiply(inverse(multiply(B,multiply(inverse(A),V_4))),V_3))
% collapsed.
% Rule
% [945]
% inverse(multiply(A,multiply(inverse(multiply(C,A)),inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(A),A)))))))))
% <-> multiply(C,inverse(inverse(multiply(inverse(V_4),V_4)))) collapsed.
% Rule
% [959]
% multiply(A,multiply(inverse(multiply(C,A)),inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(A),A))))))))
% -> multiply(c3,inverse(multiply(C,c3))) collapsed.
% Rule
% [973]
% multiply(A,multiply(B,inverse(multiply(inverse(C),multiply(A,multiply(B,
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))))
% -> C collapsed.
% Rule
% [1006]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),inverse(inverse(
% multiply(
% inverse(C),C)))))
% -> multiply(c3,inverse(multiply(c3,multiply(B,c3)))) collapsed.
% Rule
% [1025]
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(A),A)))))) <->
% multiply(inverse(B),B) collapsed.
% Rule
% [1047]
% multiply(A,multiply(inverse(multiply(C,A)),inverse(inverse(inverse(inverse(
% multiply(
% inverse(A),A)))))))
% -> multiply(c3,inverse(multiply(C,c3))) collapsed.
% Rule
% [1072]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))))
% -> multiply(c3,inverse(multiply(c3,multiply(B,c3)))) collapsed.
% Rule
% [1079]
% multiply(c3,multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),
% inverse(multiply(inverse(B),multiply(c3,inverse(multiply(
% inverse(C),C)))))))
% -> B collapsed.
% Rule
% [1083]
% multiply(inverse(multiply(inverse(inverse(inverse(inverse(inverse(multiply(
% inverse(A),A)))))),B)),
% inverse(multiply(inverse(C),C))) -> inverse(B) collapsed.
% Rule
% [1085]
% multiply(inverse(multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),B)),
% inverse(multiply(inverse(C),C))) -> inverse(B) collapsed.
% Rule
% [1108]
% multiply(inverse(multiply(inverse(inverse(inverse(inverse(inverse(inverse(
% multiply(
% inverse(A),A))))))),B)),
% inverse(multiply(inverse(C),C))) -> inverse(B) collapsed.
% Rule
% [1138]
% multiply(c3,multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),
% inverse(multiply(inverse(B),multiply(c3,inverse(inverse(multiply(
% inverse(C),C))))))))
% -> B collapsed.
% Rule
% [1141]
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% <-> multiply(V_3,inverse(multiply(B,multiply(c3,V_3)))) collapsed.
% Rule
% [1143]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% -> multiply(c3,inverse(multiply(c3,multiply(B,c3)))) collapsed.
% Rule
% [1159]
% multiply(c3,multiply(inverse(inverse(inverse(inverse(inverse(multiply(
% inverse(A),A)))))),
% inverse(multiply(inverse(B),multiply(c3,inverse(multiply(
% inverse(C),C)))))))
% -> B collapsed.
% Rule [1171] multiply(inverse(inverse(multiply(inverse(A),A))),C) -> C
% collapsed.
% Rule
% [1173] multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),C) -> C
% collapsed.
% Current number of equations to process: 1361
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [1178]
% multiply(A,inverse(multiply(B,A))) <-> multiply(V_3,inverse(multiply(B,V_3)))
% Current number of equations to process: 1360
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [1179]
% multiply(c3,multiply(inverse(multiply(c3,c3)),B)) -> multiply(inverse(c3),B)
% Current number of equations to process: 1358
% Current number of ordered equations: 0
% Current number of rules: 75
% Rule [808]
% multiply(inverse(multiply(c3,B)),C) <->
% multiply(inverse(B),multiply(c3,inverse(multiply(inverse(C),multiply(c3,c3))))) is composed into 
% [808]
% multiply(inverse(multiply(c3,B)),C) <->
% multiply(inverse(B),inverse(multiply(inverse(C),c3)))
% New rule produced :
% [1180]
% multiply(c3,inverse(multiply(A,multiply(c3,c3)))) -> inverse(multiply(A,c3))
% Current number of equations to process: 1357
% Current number of ordered equations: 0
% Current number of rules: 76
% Rule [444]
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% <-> multiply(A,inverse(multiply(B,multiply(c3,A)))) is composed into 
% [444]
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% -> inverse(multiply(B,c3))
% New rule produced :
% [1181]
% multiply(V_3,inverse(multiply(B,multiply(c3,V_3)))) ->
% inverse(multiply(B,c3))
% Rule
% [1180]
% multiply(c3,inverse(multiply(A,multiply(c3,c3)))) -> inverse(multiply(A,c3))
% collapsed.
% Current number of equations to process: 1356
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [1182]
% multiply(C,multiply(inverse(multiply(inverse(A),C)),B)) -> multiply(A,B)
% Current number of equations to process: 1355
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [1183] multiply(A,inverse(A)) <-> multiply(inverse(c3),c3)
% Current number of equations to process: 1349
% Current number of ordered equations: 1
% Current number of rules: 78
% Rule [1183] multiply(A,inverse(A)) <-> multiply(inverse(c3),c3) is composed into 
% [1183] multiply(A,inverse(A)) <-> multiply(c3,inverse(c3))
% Rule [1154]
% multiply(c3,multiply(A,inverse(multiply(inverse(C),C)))) <->
% multiply(c3,multiply(A,inverse(multiply(inverse(c3),c3)))) is composed into 
% [1154]
% multiply(c3,multiply(A,inverse(multiply(inverse(C),C)))) ->
% multiply(c3,multiply(A,inverse(multiply(c3,inverse(c3)))))
% Rule [1152]
% multiply(A,multiply(A,inverse(multiply(inverse(C),C)))) <->
% multiply(A,multiply(A,inverse(multiply(inverse(c3),c3)))) is composed into 
% [1152]
% multiply(A,multiply(A,inverse(multiply(inverse(C),C)))) ->
% multiply(A,multiply(A,inverse(multiply(c3,inverse(c3)))))
% Rule [1101] multiply(inverse(B),B) <-> multiply(inverse(c3),c3) is composed into 
% [1101] multiply(inverse(B),B) -> multiply(c3,inverse(c3))
% Rule [1053]
% inverse(multiply(inverse(V_3),V_3)) <->
% inverse(multiply(inverse(c3),c3)) is composed into [1053]
% inverse(multiply(
% inverse(V_3),V_3))
% ->
% inverse(multiply(c3,
% inverse(c3)))
% Rule [1032] multiply(inverse(B),B) <-> multiply(inverse(c3),c3) is composed into 
% [1032] multiply(inverse(B),B) -> multiply(c3,inverse(c3))
% Rule [905] multiply(inverse(B),B) <-> multiply(inverse(c3),c3) is composed into 
% [905] multiply(inverse(B),B) -> multiply(c3,inverse(c3))
% Rule [875] multiply(inverse(B),B) <-> multiply(inverse(c3),c3) is composed into 
% [875] multiply(inverse(B),B) -> multiply(c3,inverse(c3))
% Rule [869] multiply(inverse(B),B) <-> multiply(inverse(c3),c3) is composed into 
% [869] multiply(inverse(B),B) -> multiply(c3,inverse(c3))
% Rule [850]
% inverse(multiply(inverse(A),A)) <-> inverse(multiply(inverse(c3),c3)) is composed into 
% [850] inverse(multiply(inverse(A),A)) -> inverse(multiply(c3,inverse(c3)))
% Rule [843] multiply(inverse(A),A) <-> multiply(inverse(c3),c3) is composed into 
% [843] multiply(inverse(A),A) -> multiply(c3,inverse(c3))
% Rule [833] multiply(inverse(A),A) <-> multiply(inverse(c3),c3) is composed into 
% [833] multiply(inverse(A),A) -> multiply(c3,inverse(c3))
% Rule [702]
% inverse(multiply(inverse(A),A)) <-> inverse(multiply(inverse(c3),c3)) is composed into 
% [702] inverse(multiply(inverse(A),A)) -> inverse(multiply(c3,inverse(c3)))
% Rule [685] multiply(inverse(A),A) <-> multiply(inverse(c3),c3) is composed into 
% [685] multiply(inverse(A),A) -> multiply(c3,inverse(c3))
% Rule [653]
% inverse(multiply(inverse(A),A)) <-> inverse(multiply(inverse(c3),c3)) is composed into 
% [653] inverse(multiply(inverse(A),A)) -> inverse(multiply(c3,inverse(c3)))
% Rule [638]
% inverse(multiply(inverse(C),C)) <-> inverse(multiply(inverse(c3),c3)) is composed into 
% [638] inverse(multiply(inverse(C),C)) -> inverse(multiply(c3,inverse(c3)))
% Rule [607]
% inverse(multiply(inverse(V_3),V_3)) <->
% inverse(multiply(inverse(c3),c3)) is composed into [607]
% inverse(multiply(
% inverse(V_3),V_3))
% ->
% inverse(multiply(c3,
% inverse(c3)))
% Rule [577]
% inverse(multiply(inverse(V_3),V_3)) <->
% inverse(multiply(inverse(c3),c3)) is composed into [577]
% inverse(multiply(
% inverse(V_3),V_3))
% ->
% inverse(multiply(c3,
% inverse(c3)))
% Rule [575]
% inverse(multiply(inverse(C),C)) <-> inverse(multiply(inverse(c3),c3)) is composed into 
% [575] inverse(multiply(inverse(C),C)) -> inverse(multiply(c3,inverse(c3)))
% Rule [554] multiply(inverse(A),A) <-> multiply(inverse(c3),c3) is composed into 
% [554] multiply(inverse(A),A) -> multiply(c3,inverse(c3))
% Rule [535] multiply(inverse(A),A) <-> multiply(inverse(c3),c3) is composed into 
% [535] multiply(inverse(A),A) -> multiply(c3,inverse(c3))
% Rule [497]
% inverse(multiply(inverse(A),A)) <-> inverse(multiply(inverse(c3),c3)) is composed into 
% [497] inverse(multiply(inverse(A),A)) -> inverse(multiply(c3,inverse(c3)))
% New rule produced :
% [1184] multiply(inverse(c3),c3) <-> multiply(A,inverse(A))
% Current number of equations to process: 1349
% Current number of ordered equations: 0
% Current number of rules: 79
% Rule [1090]
% multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),A)) <->
% multiply(c3,multiply(inverse(c3),inverse(multiply(inverse(A),multiply(B,
% multiply(B,
% inverse(
% multiply(
% inverse(C),C)))))))) is composed into 
% [1090]
% multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),A)) <->
% multiply(c3,multiply(inverse(c3),inverse(multiply(inverse(A),multiply(B,
% multiply(B,
% multiply(
% inverse(C),C)))))))
% Rule [942]
% multiply(V_4,multiply(inverse(multiply(B,multiply(inverse(A),V_4))),V_3))
% <->
% multiply(A,multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),V_3)) is composed into 
% [942]
% multiply(V_4,multiply(inverse(multiply(B,multiply(inverse(A),V_4))),V_3)) <->
% multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),C))),V_3))
% Rule [888] multiply(inverse(B),B) <-> inverse(multiply(inverse(A),A)) is composed into 
% [888] multiply(inverse(B),B) <-> multiply(inverse(A),A)
% Rule [491] multiply(inverse(B),B) <-> inverse(multiply(inverse(A),A)) is composed into 
% [491] multiply(inverse(B),B) <-> multiply(inverse(A),A)
% New rule produced :
% [1185] inverse(multiply(inverse(B),A)) <-> multiply(inverse(A),B)
% Rule
% [202]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% inverse(multiply(inverse(B),multiply(C,inverse(multiply(inverse(V_5),V_5)))))
% collapsed.
% Rule
% [328]
% multiply(A,multiply(B,inverse(multiply(inverse(C),multiply(A,multiply(B,
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% -> C collapsed.
% Rule
% [338]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <-> inverse(multiply(inverse(B),multiply(C,multiply(inverse(V_5),V_5))))
% collapsed.
% Rule
% [354]
% inverse(multiply(A,multiply(c3,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% <-> inverse(multiply(A,multiply(c3,multiply(B,multiply(inverse(C),C)))))
% collapsed.
% Rule
% [440]
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,inverse(multiply(
% inverse(C),C)))))))
% collapsed.
% Rule
% [444]
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% -> inverse(multiply(B,c3)) collapsed.
% Rule
% [477]
% multiply(A,multiply(inverse(multiply(c3,multiply(B,A))),inverse(multiply(
% inverse(C),C))))
% -> multiply(c3,inverse(multiply(c3,multiply(B,c3)))) collapsed.
% Rule [487] inverse(multiply(inverse(A),A)) <-> multiply(inverse(B),B)
% collapsed.
% Rule
% [497] inverse(multiply(inverse(A),A)) -> inverse(multiply(c3,inverse(c3)))
% collapsed.
% Rule
% [545]
% multiply(C,inverse(multiply(inverse(B),multiply(C,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <-> multiply(A,inverse(multiply(inverse(B),multiply(C,A)))) collapsed.
% Rule
% [575] inverse(multiply(inverse(C),C)) -> inverse(multiply(c3,inverse(c3)))
% collapsed.
% Rule
% [577]
% inverse(multiply(inverse(V_3),V_3)) -> inverse(multiply(c3,inverse(c3)))
% collapsed.
% Rule
% [584]
% multiply(V_3,inverse(multiply(B,multiply(A,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(B,multiply(A,multiply(A,multiply(inverse(C),C))))))
% collapsed.
% Rule
% [589]
% multiply(V_3,inverse(multiply(B,multiply(A,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(B,multiply(A,multiply(A,inverse(multiply(
% inverse(C),C)))))))
% collapsed.
% Rule
% [600]
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(V_4,inverse(multiply(inverse(B),multiply(C,multiply(V_4,inverse(
% multiply(
% inverse(V_5),V_5)))))))
% collapsed.
% Rule
% [607]
% inverse(multiply(inverse(V_3),V_3)) -> inverse(multiply(c3,inverse(c3)))
% collapsed.
% Rule
% [612]
% multiply(V_4,inverse(multiply(inverse(B),multiply(C,multiply(V_4,inverse(
% multiply(
% inverse(V_5),V_5)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,multiply(A,multiply(
% inverse(V_3),V_3))))))
% collapsed.
% Rule
% [622]
% multiply(A,inverse(multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),
% multiply(A,inverse(multiply(inverse(V_4),V_4)))))))
% -> multiply(C,V_3) collapsed.
% Rule
% [638] inverse(multiply(inverse(C),C)) -> inverse(multiply(c3,inverse(c3)))
% collapsed.
% Rule
% [653] inverse(multiply(inverse(A),A)) -> inverse(multiply(c3,inverse(c3)))
% collapsed.
% Rule
% [672]
% multiply(A,inverse(multiply(B,multiply(C,multiply(A,inverse(multiply(
% inverse(V_3),V_3)))))))
% <-> multiply(c3,inverse(multiply(B,multiply(C,c3)))) collapsed.
% Rule
% [690]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(c3,inverse(
% multiply(
% inverse(V_3),V_3)))))
% <-> multiply(c3,multiply(inverse(multiply(B,multiply(C,c3))),c3)) collapsed.
% Rule
% [702] inverse(multiply(inverse(A),A)) -> inverse(multiply(c3,inverse(c3)))
% collapsed.
% Rule
% [715]
% multiply(c3,multiply(inverse(multiply(A,multiply(B,c3))),multiply(c3,
% inverse(multiply(
% inverse(C),C)))))
% <-> multiply(V_3,multiply(inverse(multiply(A,multiply(B,V_3))),c3))
% collapsed.
% Rule
% [729]
% multiply(V_3,inverse(multiply(c3,multiply(B,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% <-> inverse(multiply(c3,multiply(B,inverse(multiply(inverse(C),C)))))
% collapsed.
% Rule
% [746]
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(B,multiply(c3,multiply(A,multiply(inverse(C),C))))))
% collapsed.
% Rule
% [764]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),multiply(c3,inverse(
% multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(V_4,multiply(inverse(multiply(B,multiply(C,V_4))),multiply(c3,
% inverse(multiply(
% inverse(V_5),V_5)))))
% collapsed.
% Rule
% [776]
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(V_3),V_3)))))))
% <-> inverse(multiply(B,multiply(c3,inverse(multiply(inverse(C),C)))))
% collapsed.
% Rule
% [780]
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(V_3),V_3)))))))
% -> inverse(multiply(B,c3)) collapsed.
% Rule
% [793]
% multiply(B,inverse(multiply(A,multiply(c3,multiply(B,inverse(multiply(
% inverse(C),C)))))))
% -> inverse(multiply(A,c3)) collapsed.
% Rule
% [850] inverse(multiply(inverse(A),A)) -> inverse(multiply(c3,inverse(c3)))
% collapsed.
% Rule
% [971]
% multiply(V_3,inverse(multiply(B,multiply(A,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% <-> multiply(A,inverse(multiply(B,multiply(A,A)))) collapsed.
% Rule
% [1020]
% multiply(V_4,inverse(multiply(inverse(B),multiply(C,multiply(V_4,inverse(
% multiply(
% inverse(V_5),V_5)))))))
% -> inverse(multiply(inverse(B),C)) collapsed.
% Rule
% [1053]
% inverse(multiply(inverse(V_3),V_3)) -> inverse(multiply(c3,inverse(c3)))
% collapsed.
% Rule
% [1098]
% multiply(c3,inverse(multiply(B,multiply(c3,multiply(c3,inverse(multiply(
% inverse(V_3),V_3)))))))
% <-> inverse(multiply(B,multiply(c3,inverse(multiply(inverse(C),C)))))
% collapsed.
% Rule
% [1152]
% multiply(A,multiply(A,inverse(multiply(inverse(C),C)))) ->
% multiply(A,multiply(A,inverse(multiply(c3,inverse(c3))))) collapsed.
% Rule
% [1154]
% multiply(c3,multiply(A,inverse(multiply(inverse(C),C)))) ->
% multiply(c3,multiply(A,inverse(multiply(c3,inverse(c3))))) collapsed.
% Rule [1170] multiply(inverse(multiply(inverse(A),A)),C) -> C collapsed.
% Rule
% [1174] inverse(multiply(inverse(C),inverse(multiply(inverse(V_3),V_3)))) -> C
% collapsed.
% Current number of equations to process: 1371
% Current number of ordered equations: 1
% Current number of rules: 41
% New rule produced : [1186] multiply(multiply(c3,inverse(c3)),C) -> C
% Current number of equations to process: 1370
% Current number of ordered equations: 1
% Current number of rules: 42
% New rule produced :
% [1187] inverse(multiply(c3,inverse(c3))) -> multiply(c3,inverse(c3))
% Current number of equations to process: 1369
% Current number of ordered equations: 1
% Current number of rules: 43
% New rule produced :
% [1188] inverse(multiply(inverse(C),multiply(c3,inverse(c3)))) -> C
% Current number of equations to process: 1368
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced :
% [1189] multiply(inverse(A),B) <-> inverse(multiply(inverse(B),A))
% Current number of equations to process: 1368
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [1190] inverse(multiply(inverse(B),multiply(B,inverse(C)))) -> C
% Current number of equations to process: 1366
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [1191]
% inverse(multiply(A,inverse(multiply(B,A)))) <->
% multiply(B,multiply(c3,inverse(c3)))
% Current number of equations to process: 1363
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced :
% [1192]
% multiply(B,multiply(c3,inverse(c3))) <->
% inverse(multiply(A,inverse(multiply(B,A))))
% Rule [1188] inverse(multiply(inverse(C),multiply(c3,inverse(c3)))) -> C
% collapsed.
% Current number of equations to process: 1364
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced : [1193] multiply(c3,inverse(multiply(inverse(C),c3))) -> C
% Current number of equations to process: 1363
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [1194]
% multiply(A,multiply(B,inverse(multiply(inverse(C),multiply(A,B))))) -> C
% Current number of equations to process: 1362
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [1195]
% multiply(A,multiply(inverse(multiply(B,A)),C)) <->
% multiply(V_3,multiply(inverse(multiply(B,V_3)),C))
% Current number of equations to process: 1361
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [1196]
% multiply(A,inverse(multiply(A,multiply(c3,inverse(c3))))) ->
% multiply(c3,inverse(c3))
% Current number of equations to process: 1357
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [1197]
% multiply(multiply(A,multiply(c3,inverse(c3))),C) ->
% multiply(multiply(A,c3),multiply(inverse(c3),C))
% Current number of equations to process: 1356
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [1198]
% multiply(A,inverse(multiply(c3,multiply(B,A)))) <->
% multiply(c3,inverse(multiply(c3,multiply(B,c3))))
% Current number of equations to process: 1354
% Current number of ordered equations: 1
% Current number of rules: 53
% New rule produced :
% [1199]
% multiply(c3,inverse(multiply(c3,multiply(B,c3)))) <->
% multiply(A,inverse(multiply(c3,multiply(B,A))))
% Current number of equations to process: 1354
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [1200]
% multiply(A,inverse(multiply(c3,multiply(B,A)))) <->
% multiply(V_3,inverse(multiply(c3,multiply(B,V_3))))
% Rule
% [1198]
% multiply(A,inverse(multiply(c3,multiply(B,A)))) <->
% multiply(c3,inverse(multiply(c3,multiply(B,c3)))) collapsed.
% Rule
% [1199]
% multiply(c3,inverse(multiply(c3,multiply(B,c3)))) <->
% multiply(A,inverse(multiply(c3,multiply(B,A)))) collapsed.
% Current number of equations to process: 1353
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [1201]
% multiply(multiply(A,multiply(A,V_4)),multiply(inverse(V_4),V_3)) ->
% multiply(A,multiply(A,V_3))
% Current number of equations to process: 1352
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [1202]
% multiply(multiply(A,multiply(C,c3)),multiply(inverse(c3),V_3)) ->
% multiply(A,multiply(C,V_3))
% Current number of equations to process: 1348
% Current number of ordered equations: 2
% Current number of rules: 55
% New rule produced :
% [1203]
% multiply(multiply(c3,multiply(A,V_3)),multiply(inverse(V_3),B)) ->
% multiply(c3,multiply(A,B))
% Current number of equations to process: 1347
% Current number of ordered equations: 2
% Current number of rules: 56
% New rule produced :
% [1204]
% multiply(A,inverse(multiply(inverse(C),multiply(A,multiply(c3,inverse(c3))))))
% -> C
% Current number of equations to process: 1347
% Current number of ordered equations: 1
% Current number of rules: 57
% New rule produced :
% [1205]
% multiply(c3,inverse(multiply(inverse(B),inverse(multiply(c3,inverse(multiply(c3,c3)))))))
% -> B
% Current number of equations to process: 1346
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [1206]
% multiply(A,multiply(inverse(multiply(c3,A)),C)) <->
% multiply(multiply(c3,inverse(multiply(c3,c3))),C)
% Current number of equations to process: 1345
% Current number of ordered equations: 1
% Current number of rules: 59
% Rule [1206]
% multiply(A,multiply(inverse(multiply(c3,A)),C)) <->
% multiply(multiply(c3,inverse(multiply(c3,c3))),C) is composed into 
% [1206]
% multiply(A,multiply(inverse(multiply(c3,A)),C)) <->
% multiply(c3,multiply(inverse(multiply(c3,c3)),C))
% New rule produced :
% [1207]
% multiply(multiply(c3,inverse(multiply(c3,c3))),C) <->
% multiply(A,multiply(inverse(multiply(c3,A)),C))
% Current number of equations to process: 1345
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [1208]
% multiply(A,multiply(inverse(multiply(B,A)),C)) <->
% multiply(inverse(multiply(B,multiply(c3,inverse(c3)))),C)
% Current number of equations to process: 1343
% Current number of ordered equations: 1
% Current number of rules: 61
% Rule [1208]
% multiply(A,multiply(inverse(multiply(B,A)),C)) <->
% multiply(inverse(multiply(B,multiply(c3,inverse(c3)))),C) is composed into 
% [1208]
% multiply(A,multiply(inverse(multiply(B,A)),C)) <->
% multiply(c3,multiply(inverse(multiply(B,c3)),C))
% New rule produced :
% [1209]
% multiply(inverse(multiply(B,multiply(c3,inverse(c3)))),C) <->
% multiply(A,multiply(inverse(multiply(B,A)),C))
% Current number of equations to process: 1343
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [1210]
% inverse(multiply(A,inverse(multiply(c3,inverse(multiply(c3,c3)))))) ->
% inverse(multiply(A,c3))
% Rule
% [1205]
% multiply(c3,inverse(multiply(inverse(B),inverse(multiply(c3,inverse(multiply(c3,c3)))))))
% -> B collapsed.
% Current number of equations to process: 1342
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [1211]
% multiply(A,inverse(multiply(inverse(B),multiply(C,A)))) <->
% multiply(c3,inverse(multiply(inverse(B),multiply(C,c3))))
% Current number of equations to process: 1334
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [1212]
% multiply(c3,inverse(multiply(inverse(B),multiply(C,c3)))) <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,A))))
% Current number of equations to process: 1334
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced : [1213] inverse(multiply(c3,inverse(multiply(A,c3)))) -> A
% Rule
% [1210]
% inverse(multiply(A,inverse(multiply(c3,inverse(multiply(c3,c3)))))) ->
% inverse(multiply(A,c3)) collapsed.
% Current number of equations to process: 1333
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [1214]
% multiply(multiply(A,V_3),multiply(inverse(multiply(inverse(B),V_3)),C)) ->
% multiply(A,multiply(B,C))
% Current number of equations to process: 1331
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [1215]
% multiply(inverse(multiply(inverse(C),V_3)),multiply(inverse(multiply(
% inverse(V_3),C)),B))
% -> B
% Current number of equations to process: 1329
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [1216]
% multiply(A,inverse(multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),A))))
% -> multiply(C,V_3)
% Current number of equations to process: 1318
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [1217]
% multiply(A,inverse(multiply(c3,multiply(A,multiply(c3,inverse(c3)))))) ->
% inverse(c3)
% Current number of equations to process: 1316
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [1218]
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(B),V_3))
% -> multiply(inverse(C),multiply(A,V_3))
% Current number of equations to process: 1305
% Current number of ordered equations: 2
% Current number of rules: 69
% New rule produced :
% [1219]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(C,A)),V_3))
% <-> multiply(inverse(multiply(C,B)),V_3)
% Current number of equations to process: 1305
% Current number of ordered equations: 1
% Current number of rules: 70
% New rule produced :
% [1220]
% multiply(inverse(multiply(C,B)),V_3) <->
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(C,A)),V_3))
% Current number of equations to process: 1305
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [1221]
% multiply(V_3,inverse(multiply(B,multiply(c3,multiply(V_3,multiply(c3,
% inverse(c3))))))) ->
% inverse(multiply(B,c3))
% Current number of equations to process: 1303
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [1222]
% multiply(A,inverse(multiply(inverse(c3),multiply(B,multiply(C,A))))) <->
% multiply(c3,inverse(multiply(inverse(c3),multiply(B,multiply(C,c3)))))
% Current number of equations to process: 1302
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [1223]
% multiply(c3,inverse(multiply(inverse(c3),multiply(B,multiply(C,c3))))) <->
% multiply(A,inverse(multiply(inverse(c3),multiply(B,multiply(C,A)))))
% Current number of equations to process: 1302
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [1224]
% multiply(multiply(C,multiply(V_3,V_6)),multiply(inverse(V_6),V_4)) <->
% multiply(multiply(C,multiply(V_3,B)),multiply(inverse(B),V_4))
% Current number of equations to process: 1301
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [1225]
% inverse(multiply(inverse(B),multiply(C,multiply(c3,inverse(c3))))) <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,A))))
% Rule
% [1204]
% multiply(A,inverse(multiply(inverse(C),multiply(A,multiply(c3,inverse(c3))))))
% -> C collapsed.
% Current number of equations to process: 1286
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [1226]
% multiply(A,multiply(C,multiply(inverse(multiply(V_3,multiply(A,C))),V_4)))
% <-> multiply(V_5,multiply(inverse(multiply(V_3,V_5)),V_4))
% Current number of equations to process: 1280
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [1227]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),V_3)) <->
% multiply(inverse(multiply(B,multiply(C,multiply(c3,inverse(c3))))),V_3)
% Current number of equations to process: 1279
% Current number of ordered equations: 1
% Current number of rules: 77
% Rule [1227]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),V_3)) <->
% multiply(inverse(multiply(B,multiply(C,multiply(c3,inverse(c3))))),V_3) is composed into 
% [1227]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),V_3)) <->
% multiply(c3,multiply(inverse(multiply(B,multiply(C,c3))),V_3))
% New rule produced :
% [1228]
% multiply(inverse(multiply(B,multiply(C,multiply(c3,inverse(c3))))),V_3) <->
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),V_3))
% Current number of equations to process: 1279
% Current number of ordered equations: 0
% Current number of rules: 78
% Rule [1192]
% multiply(B,multiply(c3,inverse(c3))) <->
% inverse(multiply(A,inverse(multiply(B,A)))) is composed into [1192]
% multiply(B,
% multiply(c3,
% inverse(c3)))
% -> B
% New rule produced : [1229] inverse(multiply(A,inverse(multiply(C,A)))) -> C
% Rule
% [1191]
% inverse(multiply(A,inverse(multiply(B,A)))) <->
% multiply(B,multiply(c3,inverse(c3))) collapsed.
% Rule [1213] inverse(multiply(c3,inverse(multiply(A,c3)))) -> A collapsed.
% Current number of equations to process: 1277
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [1230]
% multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),V_3)) ->
% multiply(inverse(multiply(B,B)),V_3)
% Rule
% [1090]
% multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),A)) <->
% multiply(c3,multiply(inverse(c3),inverse(multiply(inverse(A),multiply(B,
% multiply(B,
% multiply(
% inverse(C),C)))))))
% collapsed.
% Current number of equations to process: 1274
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [1231]
% multiply(A,multiply(B,inverse(multiply(A,B)))) <-> multiply(c3,inverse(c3))
% Current number of equations to process: 1272
% Current number of ordered equations: 1
% Current number of rules: 78
% New rule produced :
% [1232]
% multiply(c3,inverse(c3)) <-> multiply(A,multiply(B,inverse(multiply(A,B))))
% Current number of equations to process: 1272
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [1233]
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),V_3)) ->
% multiply(inverse(multiply(c3,B)),V_3)
% Current number of equations to process: 1270
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [1234]
% multiply(c3,multiply(inverse(multiply(B,multiply(c3,c3))),C)) ->
% multiply(inverse(multiply(B,c3)),C)
% Current number of equations to process: 1267
% Current number of ordered equations: 0
% Current number of rules: 81
% Rule [1225]
% inverse(multiply(inverse(B),multiply(C,multiply(c3,inverse(c3))))) <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,A)))) is composed into 
% [1225]
% inverse(multiply(inverse(B),multiply(C,multiply(c3,inverse(c3))))) ->
% inverse(multiply(inverse(B),C))
% New rule produced :
% [1235]
% multiply(V_3,inverse(multiply(inverse(B),multiply(C,V_3)))) ->
% inverse(multiply(inverse(B),C))
% Rule
% [1194]
% multiply(A,multiply(B,inverse(multiply(inverse(C),multiply(A,B))))) -> C
% collapsed.
% Rule
% [1211]
% multiply(A,inverse(multiply(inverse(B),multiply(C,A)))) <->
% multiply(c3,inverse(multiply(inverse(B),multiply(C,c3)))) collapsed.
% Rule
% [1212]
% multiply(c3,inverse(multiply(inverse(B),multiply(C,c3)))) <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,A)))) collapsed.
% Current number of equations to process: 1265
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced : [1236] multiply(A,inverse(multiply(inverse(C),A))) -> C
% Rule [1193] multiply(c3,inverse(multiply(inverse(C),c3))) -> C collapsed.
% Current number of equations to process: 1264
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced : [1237] multiply(inverse(B),multiply(B,C)) -> C
% Rule [1190] inverse(multiply(inverse(B),multiply(B,inverse(C)))) -> C
% collapsed.
% Current number of equations to process: 1263
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced : [1238] multiply(A,inverse(multiply(c3,A))) -> inverse(c3)
% Rule
% [1207]
% multiply(multiply(c3,inverse(multiply(c3,c3))),C) <->
% multiply(A,multiply(inverse(multiply(c3,A)),C)) collapsed.
% Current number of equations to process: 1260
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [1239]
% multiply(A,multiply(inverse(multiply(c3,A)),C)) -> multiply(inverse(c3),C)
% Rule
% [1179]
% multiply(c3,multiply(inverse(multiply(c3,c3)),B)) -> multiply(inverse(c3),B)
% collapsed.
% Rule
% [1206]
% multiply(A,multiply(inverse(multiply(c3,A)),C)) <->
% multiply(c3,multiply(inverse(multiply(c3,c3)),C)) collapsed.
% Current number of equations to process: 1259
% Current number of ordered equations: 0
% Current number of rules: 78
% Rule [1228]
% multiply(inverse(multiply(B,multiply(C,multiply(c3,inverse(c3))))),V_3)
% <-> multiply(A,multiply(inverse(multiply(B,multiply(C,A))),V_3)) is composed into 
% [1228]
% multiply(inverse(multiply(B,multiply(C,multiply(c3,inverse(c3))))),V_3) ->
% multiply(inverse(multiply(B,C)),V_3)
% New rule produced :
% [1240]
% multiply(V_4,multiply(inverse(multiply(A,multiply(B,V_4))),V_3)) ->
% multiply(inverse(multiply(A,B)),V_3)
% Rule
% [370]
% multiply(inverse(multiply(A,B)),multiply(C,multiply(inverse(multiply(V_3,
% multiply(V_4,C))),V_5)))
% <-> multiply(inverse(B),multiply(inverse(multiply(V_3,multiply(V_4,A))),V_5))
% collapsed.
% Rule
% [372]
% multiply(inverse(multiply(A,multiply(inverse(multiply(B,multiply(C,A))),V_3))),
% multiply(V_4,V_5)) <->
% multiply(inverse(multiply(inverse(multiply(B,multiply(C,V_4))),V_3)),V_5)
% collapsed.
% Rule
% [419]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),V_3)) <->
% multiply(V_4,multiply(inverse(multiply(B,multiply(C,V_4))),V_3)) collapsed.
% Rule
% [539]
% multiply(V_3,multiply(inverse(multiply(A,multiply(B,V_3))),C)) <->
% multiply(c3,multiply(inverse(multiply(A,multiply(B,c3))),C)) collapsed.
% Rule
% [747]
% multiply(V_4,multiply(inverse(multiply(A,multiply(B,V_4))),V_3)) <->
% multiply(c3,multiply(inverse(multiply(A,multiply(B,c3))),V_3)) collapsed.
% Rule
% [896]
% multiply(V_4,multiply(inverse(multiply(B,multiply(inverse(A),V_4))),V_3)) ->
% multiply(A,multiply(inverse(B),V_3)) collapsed.
% Rule
% [919]
% multiply(V_4,multiply(inverse(multiply(B,multiply(inverse(A),V_4))),V_3)) <->
% multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),C))),V_3))
% collapsed.
% Rule
% [942]
% multiply(V_4,multiply(inverse(multiply(B,multiply(inverse(A),V_4))),V_3)) <->
% multiply(A,multiply(inverse(multiply(B,multiply(inverse(C),C))),V_3))
% collapsed.
% Rule
% [1216]
% multiply(A,inverse(multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),A))))
% -> multiply(C,V_3) collapsed.
% Rule
% [1226]
% multiply(A,multiply(C,multiply(inverse(multiply(V_3,multiply(A,C))),V_4)))
% <-> multiply(V_5,multiply(inverse(multiply(V_3,V_5)),V_4)) collapsed.
% Rule
% [1227]
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),V_3)) <->
% multiply(c3,multiply(inverse(multiply(B,multiply(C,c3))),V_3)) collapsed.
% Rule
% [1230]
% multiply(c3,multiply(inverse(multiply(B,multiply(B,c3))),V_3)) ->
% multiply(inverse(multiply(B,B)),V_3) collapsed.
% Rule
% [1233]
% multiply(c3,multiply(inverse(multiply(c3,multiply(B,c3))),V_3)) ->
% multiply(inverse(multiply(c3,B)),V_3) collapsed.
% Rule
% [1234]
% multiply(c3,multiply(inverse(multiply(B,multiply(c3,c3))),C)) ->
% multiply(inverse(multiply(B,c3)),C) collapsed.
% Current number of equations to process: 1248
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [1241]
% multiply(inverse(multiply(B,inverse(A))),V_3) ->
% multiply(A,multiply(inverse(B),V_3))
% Current number of equations to process: 1247
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [1242]
% multiply(inverse(multiply(A,B)),multiply(inverse(multiply(V_3,V_4)),V_5)) <->
% multiply(inverse(B),multiply(inverse(multiply(V_3,multiply(V_4,A))),V_5))
% Current number of equations to process: 1246
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced :
% [1243]
% multiply(inverse(B),multiply(inverse(multiply(V_3,multiply(V_4,A))),V_5)) <->
% multiply(inverse(multiply(A,B)),multiply(inverse(multiply(V_3,V_4)),V_5))
% Current number of equations to process: 1246
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [1244]
% multiply(inverse(multiply(inverse(multiply(B,multiply(C,V_4))),V_3)),V_5) ->
% multiply(inverse(multiply(inverse(multiply(B,C)),V_3)),multiply(V_4,V_5))
% Current number of equations to process: 1245
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [1245] multiply(multiply(A,C),V_3) -> multiply(A,multiply(C,V_3))
% Rule [1168] multiply(multiply(inverse(A),A),C) -> C collapsed.
% Rule [1186] multiply(multiply(c3,inverse(c3)),C) -> C collapsed.
% Rule
% [1197]
% multiply(multiply(A,multiply(c3,inverse(c3))),C) ->
% multiply(multiply(A,c3),multiply(inverse(c3),C)) collapsed.
% Rule
% [1201]
% multiply(multiply(A,multiply(A,V_4)),multiply(inverse(V_4),V_3)) ->
% multiply(A,multiply(A,V_3)) collapsed.
% Rule
% [1202]
% multiply(multiply(A,multiply(C,c3)),multiply(inverse(c3),V_3)) ->
% multiply(A,multiply(C,V_3)) collapsed.
% Rule
% [1203]
% multiply(multiply(c3,multiply(A,V_3)),multiply(inverse(V_3),B)) ->
% multiply(c3,multiply(A,B)) collapsed.
% Rule
% [1214]
% multiply(multiply(A,V_3),multiply(inverse(multiply(inverse(B),V_3)),C)) ->
% multiply(A,multiply(B,C)) collapsed.
% Rule
% [1224]
% multiply(multiply(C,multiply(V_3,V_6)),multiply(inverse(V_6),V_4)) <->
% multiply(multiply(C,multiply(V_3,B)),multiply(inverse(B),V_4)) collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% Trivial
% 
% Current number of equations to process: 1241
% Current number of ordered equations: 0
% Current number of rules: 62
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
% 
% The following 38 rules have been used:
% [1] 
% multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),
% multiply(inverse(B),multiply(inverse(B),B))))) -> C; trace = in the starting set
% [2] inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,C)),V_3)),B)),
% multiply(inverse(V_3),multiply(inverse(V_3),V_3)))) ->
% multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),multiply(
% inverse(C),C))))); trace = Self cp of 1
% [3] multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(C),
% multiply(inverse(B),
% multiply(inverse(B),B))))))
% -> C; trace = Cp of 2 and 1
% [4] multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(
% inverse(V_3),
% multiply(
% inverse(V_4),
% multiply(
% inverse(V_4),V_4)))))))
% <-> multiply(inverse(multiply(inverse(multiply(C,V_4)),B)),V_3); trace = Cp of 3 and 2
% [6] multiply(A,inverse(multiply(inverse(multiply(A,C)),multiply(A,multiply(A,
% inverse(
% multiply(
% inverse(
% multiply(
% inverse(B),
% multiply(
% inverse(B),B))),
% multiply(
% inverse(B),
% multiply(
% inverse(B),B)))))))))
% -> C; trace = in the starting set
% [7] multiply(A,inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(A,
% inverse(
% multiply(
% inverse(C),C)))))))
% -> B; trace = Cp of 6 and 4
% [8] multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(multiply(inverse(A),A)))),B) ->
% multiply(inverse(inverse(multiply(inverse(A),A))),B); trace = Cp of 7 and 3
% [9] multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(
% inverse(A),A)))
% -> inverse(multiply(inverse(A),A)); trace = Cp of 8 and 3
% [10] multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),inverse(
% inverse(
% multiply(
% inverse(A),A))))
% -> inverse(inverse(multiply(inverse(A),A))); trace = Self cp of 9
% [12] multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(
% multiply(
% inverse(C),
% inverse(
% multiply(
% inverse(B),B))))))
% -> C; trace = Cp of 9 and 3
% [13] multiply(A,inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% -> B; trace = Cp of 10 and 7
% [16] multiply(inverse(multiply(A,B)),multiply(A,C)) <->
% multiply(inverse(multiply(c3,B)),multiply(c3,C)); trace = Cp of 7 and 4
% [17] multiply(inverse(multiply(inverse(inverse(multiply(inverse(V_3),V_3))),B)),
% multiply(inverse(inverse(multiply(inverse(V_3),V_3))),C)) <->
% multiply(inverse(multiply(A,B)),multiply(A,C)); trace = Cp of 7 and 4
% [21] inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(A,inverse(
% multiply(
% inverse(V_3),V_3))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,inverse(
% multiply(
% inverse(C),C))))))); trace = Self cp of 7
% [22] multiply(A,multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B; trace = Cp of 6 and 4
% [25] multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(c3,B)),
% multiply(c3,V_3)))
% -> multiply(inverse(multiply(c3,C)),multiply(c3,multiply(A,V_3))); trace = Self cp of 16
% [26] multiply(inverse(multiply(inverse(multiply(c3,A)),multiply(c3,B))),
% multiply(inverse(multiply(C,A)),V_3)) <->
% multiply(inverse(multiply(c3,multiply(C,B))),multiply(c3,V_3)); trace = Self cp of 16
% [30] multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),A))),B)),
% inverse(multiply(inverse(A),A))) ->
% multiply(inverse(multiply(c3,B)),multiply(c3,inverse(multiply(inverse(A),A)))); trace = Cp of 16 and 9
% [34] multiply(inverse(multiply(C,inverse(multiply(inverse(A),A)))),multiply(C,B))
% ->
% multiply(inverse(inverse(multiply(inverse(A),A))),multiply(inverse(
% inverse(
% multiply(
% inverse(A),A))),B)); trace = Cp of 17 and 9
% [35] multiply(inverse(inverse(multiply(inverse(B),B))),multiply(inverse(
% inverse(
% multiply(
% inverse(B),B))),
% inverse(inverse(
% multiply(
% inverse(B),B)))))
% -> inverse(multiply(inverse(B),B)); trace = Cp of 12 and 9
% [38] multiply(A,multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% -> B; trace = Cp of 22 and 13
% [39] inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(
% inverse(C),C))))))
% <->
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))); trace = Cp of 22 and 21
% [43] inverse(multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,
% inverse(multiply(
% inverse(C),C))))))
% <->
% multiply(B,inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(
% multiply(
% inverse(V_3),V_3))))))); trace = Cp of 21 and 16
% [52] multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,multiply(c3,B)))
% <->
% multiply(inverse(multiply(c3,multiply(C,A))),multiply(c3,multiply(C,B))); trace = Cp of 25 and 16
% [57] inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))
% <->
% inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(
% inverse(C),C)))))); trace = Cp of 38 and 21
% [58] multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% <->
% multiply(inverse(A),multiply(B,multiply(B,inverse(multiply(inverse(C),C))))); trace = Cp of 39 and 3
% [70] multiply(inverse(multiply(c3,multiply(c3,inverse(inverse(multiply(
% inverse(A),A)))))),
% multiply(c3,multiply(c3,inverse(multiply(inverse(A),A))))) ->
% inverse(multiply(inverse(A),A)); trace = Cp of 35 and 30
% [75] multiply(B,inverse(multiply(inverse(A),multiply(B,multiply(B,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% inverse(multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,
% inverse(inverse(
% multiply(
% inverse(C),C))))))); trace = Cp of 43 and 34
% [81] inverse(multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,
% multiply(A,
% inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B; trace = Cp of 57 and 52
% [85] multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,inverse(
% multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(B,A)),multiply(B,multiply(B,inverse(multiply(
% inverse(V_3),V_3))))); trace = Cp of 58 and 16
% [95] multiply(inverse(multiply(c3,multiply(A,inverse(inverse(multiply(
% inverse(B),B)))))),
% multiply(c3,multiply(A,inverse(multiply(inverse(B),B))))) ->
% inverse(multiply(inverse(B),B)); trace = Cp of 70 and 52
% [134] multiply(A,multiply(inverse(multiply(B,multiply(C,A))),V_3)) <->
% multiply(c3,multiply(inverse(multiply(B,multiply(C,c3))),V_3)); trace = Cp of 81 and 26
% [135] multiply(c3,multiply(inverse(multiply(B,multiply(C,c3))),V_3)) <->
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),V_3)); trace = Cp of 81 and 26
% [162] multiply(inverse(multiply(A,multiply(A,inverse(inverse(multiply(
% inverse(B),B)))))),
% multiply(A,multiply(A,inverse(multiply(inverse(C),C))))) ->
% inverse(multiply(inverse(B),B)); trace = Cp of 95 and 85
% [237] multiply(inverse(multiply(c3,multiply(inverse(multiply(A,multiply(B,c3))),C))),
% multiply(V_3,V_4)) <->
% multiply(inverse(multiply(c3,multiply(inverse(multiply(A,multiply(B,V_3))),C))),
% multiply(c3,V_4)); trace = Cp of 134 and 16
% [269] inverse(multiply(c3,multiply(inverse(multiply(A,multiply(A,c3))),
% multiply(A,inverse(inverse(multiply(inverse(C),C)))))))
% <-> multiply(A,multiply(inverse(B),B)); trace = Cp of 162 and 75
% [372] multiply(inverse(multiply(A,multiply(inverse(multiply(B,multiply(C,A))),V_3))),
% multiply(V_4,V_5)) <->
% multiply(inverse(multiply(c3,multiply(inverse(multiply(B,multiply(C,V_4))),V_3))),
% multiply(c3,V_5)); trace = Cp of 237 and 135
% [1245] multiply(multiply(A,C),V_3) -> multiply(A,multiply(C,V_3)); trace = Cp of 372 and 269
% % SZS output end Refutation
% All conjectures have been proven
% 
% Execution time: 218.900000 sec
% res : bool = true
% time is now off
% 
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
% 
% EOF
%------------------------------------------------------------------------------