%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : GRP406-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n112.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 00:22:52 EDT 2014

% Result   : Unsatisfiable 62.42s
% Output   : Refutation 62.42s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : GRP406-1 : TPTP v6.0.0. Released v2.6.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n112.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 12:38:38 CDT 2014
% % CPUTime  : 62.42 
% Processing problem /tmp/CiME_58497_n112.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " b1,a1 : 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 "
% b1 lr_lex;
% a1 lr_lex;
% inverse lr_lex;
% multiply lr_lex;
% ";
% 
% let p1 = precedence F "
% multiply > inverse > a1 > b1";
% 
% let s2 = status F "
% b1 mul;
% a1 mul;
% inverse mul;
% multiply mul;
% ";
% 
% let p2 = precedence F "
% multiply > inverse > a1 = b1";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " multiply(inverse(a1),a1) = multiply(inverse(b1),b1);"
% ;
% (*
% 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(inverse(a1),a1) =
% multiply(inverse(b1),b1) } (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(b1,B)),multiply(b1,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(b1,B)),
% multiply(b1,V_3))) ->
% multiply(inverse(multiply(b1,C)),multiply(b1,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(b1,A)),multiply(b1,B))),multiply(
% inverse(
% multiply(C,A)),V_3))
% <-> multiply(inverse(multiply(b1,multiply(C,B))),multiply(b1,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(b1,multiply(C,B))),multiply(b1,V_3)) <->
% multiply(inverse(multiply(inverse(multiply(b1,A)),multiply(b1,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(b1,C)),
% multiply(b1,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(b1,B)),multiply(b1,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(b1,B)),multiply(b1,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(b1,inverse(multiply(inverse(A),A)))),multiply(b1,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(b1,B)),multiply(b1,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(b1,B)),multiply(b1,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(b1,inverse(multiply(inverse(A),A)))),multiply(b1,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(b1,B)),multiply(b1,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(b1,B)),multiply(b1,
% 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(b1,A)),multiply(b1,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(b1,A)),multiply(b1,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(b1,B)),
% multiply(b1,
% 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(b1,B)),multiply(b1,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(b1,multiply(C,A))),multiply(b1,multiply(C,B))) <->
% multiply(inverse(multiply(b1,multiply(b1,A))),multiply(b1,multiply(b1,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(b1,multiply(b1,A))),multiply(b1,multiply(b1,B)))
% <-> multiply(inverse(multiply(b1,multiply(C,A))),multiply(b1,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(b1,B)),
% multiply(b1,
% 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(b1,A)),multiply(b1,multiply(B,
% inverse(
% multiply(
% inverse(C),C)))))))
% -> A
% Rule
% [41]
% multiply(A,multiply(A,inverse(multiply(inverse(multiply(b1,B)),multiply(b1,
% 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(b1,B)),multiply(b1,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(b1,inverse(inverse(multiply(inverse(A),A))))),
% multiply(b1,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(b1,multiply(A,inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% <->
% multiply(b1,inverse(multiply(inverse(B),multiply(b1,multiply(b1,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(b1,inverse(multiply(inverse(B),multiply(b1,multiply(b1,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(b1,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(b1,B)),multiply(b1,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(b1,inverse(inverse(multiply(inverse(A),A))))),
% multiply(b1,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(b1,multiply(b1,inverse(inverse(multiply(inverse(A),A)))))),
% multiply(b1,multiply(b1,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(b1,A)),multiply(b1,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(b1,A)),multiply(b1,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(b1,inverse(multiply(inverse(multiply(b1,multiply(A,B))),multiply(b1,
% multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% -> multiply(b1,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(b1,multiply(b1,A))),multiply(b1,multiply(b1,
% 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(b1,multiply(A,B))),multiply(b1,multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B
% Rule
% [77]
% multiply(b1,inverse(multiply(inverse(multiply(b1,multiply(A,B))),multiply(b1,
% multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% -> multiply(b1,B) collapsed.
% Rule
% [80]
% inverse(multiply(inverse(multiply(b1,multiply(b1,A))),multiply(b1,multiply(b1,
% 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(b1,A)),multiply(b1,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(b1,A)),multiply(b1,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(b1,multiply(A,inverse(
% multiply(
% inverse(C),C)))))))
% <->
% multiply(b1,inverse(multiply(inverse(B),multiply(b1,multiply(b1,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(b1,inverse(multiply(inverse(B),multiply(b1,multiply(b1,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(b1,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(b1,
% multiply(b1,C))),
% multiply(b1,multiply(b1,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(b1,inverse(multiply(inverse(multiply(b1,multiply(A,B))),multiply(b1,
% multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% -> multiply(b1,B)
% Current number of equations to process: 1647
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [94]
% multiply(b1,multiply(A,inverse(multiply(inverse(B),multiply(b1,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(b1,multiply(A,inverse(inverse(multiply(inverse(B),B)))))),
% multiply(b1,multiply(A,inverse(multiply(inverse(B),B))))) ->
% inverse(multiply(inverse(B),B))
% Rule
% [70]
% multiply(inverse(multiply(b1,multiply(b1,inverse(inverse(multiply(inverse(A),A)))))),
% multiply(b1,multiply(b1,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(b1,multiply(b1,inverse(inverse(multiply(inverse(A),A)))))),
% multiply(b1,multiply(b1,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(b1,B)),
% multiply(b1,
% 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(b1,A)),multiply(b1,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(b1,A)),multiply(b1,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(b1,multiply(A,B))),multiply(b1,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(b1,multiply(A,B))),multiply(b1,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% -> B
% Rule
% [93]
% multiply(b1,inverse(multiply(inverse(multiply(b1,multiply(A,B))),multiply(b1,
% multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% -> multiply(b1,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(b1,A)),multiply(b1,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(b1,multiply(B,inverse(inverse(multiply(
% inverse(V_3),V_3)))))))
% <->
% inverse(multiply(inverse(A),multiply(b1,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(b1,multiply(B,inverse(inverse(inverse(
% multiply(
% inverse(C),C))))))))
% <->
% inverse(multiply(inverse(A),multiply(b1,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(b1,multiply(A,inverse(inverse(
% multiply(
% inverse(C),C))))))))
% <->
% multiply(b1,inverse(multiply(B,multiply(b1,multiply(b1,inverse(multiply(
% inverse(V_3),V_3)))))))
% Rule
% [66]
% multiply(A,inverse(multiply(inverse(B),multiply(b1,multiply(A,inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% <->
% multiply(b1,inverse(multiply(inverse(B),multiply(b1,multiply(b1,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(b1,multiply(A,B))),multiply(b1,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(b1,A)),multiply(b1,multiply(B,inverse(multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(b1,A)),multiply(b1,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(b1,A)),multiply(b1,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(b1,A)),multiply(b1,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(b1,multiply(b1,multiply(B,inverse(inverse(inverse(
% multiply(
% inverse(V_3),V_3)))))))),
% multiply(b1,C)) <->
% multiply(A,multiply(inverse(multiply(b1,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(b1,multiply(B,A))),C)) <->
% multiply(b1,multiply(inverse(multiply(b1,multiply(B,b1))),C))
% Current number of equations to process: 2687
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [132]
% multiply(b1,multiply(inverse(multiply(b1,multiply(B,b1))),C)) <->
% multiply(A,multiply(inverse(multiply(b1,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(b1,multiply(B,multiply(C,inverse(inverse(inverse(
% multiply(
% inverse(V_4),V_4)))))))),
% multiply(b1,V_3)) <->
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),V_3))
% Rule
% [130]
% multiply(inverse(multiply(b1,multiply(b1,multiply(B,inverse(inverse(inverse(
% multiply(
% inverse(V_3),V_3)))))))),
% multiply(b1,C)) <->
% multiply(A,multiply(inverse(multiply(b1,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(b1,multiply(inverse(multiply(B,multiply(C,b1))),V_3))
% Rule
% [131]
% multiply(A,multiply(inverse(multiply(b1,multiply(B,A))),C)) <->
% multiply(b1,multiply(inverse(multiply(b1,multiply(B,b1))),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(b1,multiply(inverse(multiply(B,multiply(C,b1))),V_3)) <->
% multiply(A,multiply(inverse(multiply(B,multiply(C,A))),V_3))
% Rule
% [132]
% multiply(b1,multiply(inverse(multiply(b1,multiply(B,b1))),C)) <->
% multiply(A,multiply(inverse(multiply(b1,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(b1,B)),multiply(b1,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(b1,B)),multiply(b1,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(b1,A)),multiply(b1,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(b1,A)),multiply(b1,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(b1,multiply(B,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% <->
% inverse(multiply(inverse(A),multiply(b1,multiply(B,inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))) is composed into 
% [117]
% inverse(multiply(inverse(A),multiply(b1,multiply(B,inverse(inverse(inverse(
% multiply(
% inverse(C),C))))))))
% <->
% inverse(multiply(inverse(A),multiply(b1,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% New rule produced :
% [142]
% inverse(multiply(inverse(A),multiply(b1,multiply(B,inverse(inverse(multiply(
% inverse(C),C)))))))
% <->
% inverse(multiply(inverse(A),multiply(b1,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% Rule
% [116]
% inverse(multiply(inverse(A),multiply(b1,multiply(B,inverse(inverse(multiply(
% inverse(V_3),V_3)))))))
% <->
% inverse(multiply(inverse(A),multiply(b1,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(b1,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% <->
% inverse(multiply(inverse(A),multiply(b1,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(b1,multiply(A,inverse(multiply(
% inverse(C),C)))))))
% <->
% multiply(b1,inverse(multiply(B,multiply(b1,multiply(b1,inverse(multiply(
% inverse(V_3),V_3)))))))
% Rule
% [88]
% multiply(A,inverse(multiply(inverse(B),multiply(b1,multiply(A,inverse(
% multiply(
% inverse(C),C)))))))
% <->
% multiply(b1,inverse(multiply(inverse(B),multiply(b1,multiply(b1,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(b1,multiply(A,inverse(multiply(inverse(B),multiply(b1,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(b1,multiply(A,B))),multiply(b1,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(b1,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(b1,inverse(multiply(inverse(A),multiply(b1,multiply(b1,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(b1,inverse(multiply(inverse(A),multiply(b1,multiply(b1,inverse(
% inverse(
% multiply(
% inverse(B),B))))))))
% <->
% multiply(C,inverse(multiply(inverse(A),multiply(b1,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(b1,multiply(A,inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% <->
% multiply(V_3,inverse(multiply(inverse(B),multiply(b1,multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% Rule
% [151]
% multiply(b1,inverse(multiply(inverse(A),multiply(b1,multiply(b1,inverse(
% inverse(
% multiply(
% inverse(B),B))))))))
% <->
% multiply(C,inverse(multiply(inverse(A),multiply(b1,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(b1,multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(b1,multiply(A,inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% Rule
% [67]
% multiply(b1,inverse(multiply(inverse(B),multiply(b1,multiply(b1,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(b1,multiply(A,inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% collapsed.
% Rule
% [150]
% multiply(C,inverse(multiply(inverse(A),multiply(b1,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(b1,inverse(multiply(inverse(A),multiply(b1,multiply(b1,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(b1,multiply(A,inverse(multiply(inverse(B),multiply(b1,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(b1,multiply(A,inverse(multiply(inverse(B),multiply(b1,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(b1,multiply(A,inverse(multiply(inverse(B),multiply(b1,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(b1,multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),
% inverse(multiply(inverse(B),multiply(b1,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(b1,multiply(A,inverse(multiply(inverse(B),multiply(b1,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(b1,
% multiply(C,V_3))),
% multiply(b1,multiply(C,B))))))
% -> multiply(inverse(B),multiply(inverse(B),V_3))
% Rule
% [92]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(multiply(b1,
% multiply(b1,C))),
% multiply(b1,multiply(b1,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(b1,multiply(A,inverse(multiply(inverse(B),multiply(b1,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(b1,multiply(b1,inverse(inverse(multiply(inverse(A),A)))))),
% multiply(b1,multiply(b1,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(b1,B)),multiply(b1,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(b1,B)),multiply(b1,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(b1,multiply(A,multiply(A,inverse(multiply(inverse(C),C)))))),
% multiply(b1,B)) ->
% multiply(b1,multiply(inverse(multiply(A,multiply(A,b1))),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(b1,multiply(inverse(multiply(A,multiply(A,b1))),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(b1,B)),
% multiply(b1,
% 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(b1,A)),multiply(b1,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(b1,A)),multiply(b1,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(b1,multiply(b1,inverse(inverse(inverse(
% multiply(
% inverse(C),C))))))))
% <->
% inverse(multiply(inverse(A),multiply(b1,multiply(b1,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(b1,A)),multiply(b1,multiply(B,inverse(inverse(
% multiply(
% inverse(C),C))))))
% <->
% multiply(inverse(multiply(b1,A)),multiply(b1,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(b1,A)),multiply(b1,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(b1,A)),multiply(b1,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(b1,multiply(b1,inverse(inverse(inverse(
% multiply(
% inverse(C),C))))))))
% <->
% inverse(multiply(inverse(A),multiply(b1,multiply(b1,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(b1,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% <->
% inverse(multiply(inverse(A),multiply(b1,multiply(B,inverse(inverse(multiply(
% inverse(C),C)))))))
% collapsed.
% Rule
% [174]
% multiply(inverse(multiply(b1,A)),multiply(b1,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(b1,A)),multiply(b1,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(b1,multiply(A,inverse(multiply(inverse(V_3),V_3))))),
% multiply(b1,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(b1,multiply(A,inverse(multiply(inverse(V_3),V_3))))),
% multiply(b1,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(b1,B)),multiply(b1,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(b1,multiply(inverse(multiply(B,multiply(B,b1))),V_3))
% Rule
% [165]
% multiply(inverse(multiply(b1,multiply(A,multiply(A,inverse(multiply(inverse(C),C)))))),
% multiply(b1,B)) ->
% multiply(b1,multiply(inverse(multiply(A,multiply(A,b1))),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(b1,B)),multiply(b1,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(b1,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% <->
% inverse(multiply(inverse(A),multiply(b1,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(b1,multiply(B,inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% <->
% inverse(multiply(inverse(A),multiply(b1,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(b1,inverse(multiply(inverse(B),multiply(b1,multiply(b1,inverse(
% multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(b1,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(b1,multiply(A,inverse(
% multiply(
% inverse(C),C)))))))
% <->
% multiply(V_3,inverse(multiply(inverse(B),multiply(b1,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(b1,A)),multiply(b1,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(b1,A)),multiply(b1,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(b1,A)),multiply(b1,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(b1,A)),multiply(b1,multiply(B,inverse(multiply(
% inverse(C),C)))))
% New rule produced :
% [203]
% multiply(inverse(A),multiply(b1,multiply(B,inverse(inverse(inverse(multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(inverse(A),multiply(b1,multiply(B,inverse(multiply(inverse(C),C)))))
% Rule
% [81]
% inverse(multiply(inverse(multiply(b1,multiply(A,B))),multiply(b1,multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B collapsed.
% Rule
% [117]
% inverse(multiply(inverse(A),multiply(b1,multiply(B,inverse(inverse(inverse(
% multiply(
% inverse(C),C))))))))
% <->
% inverse(multiply(inverse(A),multiply(b1,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% collapsed.
% Rule
% [139]
% multiply(inverse(multiply(b1,A)),multiply(b1,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(b1,multiply(A,inverse(multiply(inverse(B),multiply(b1,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(b1,multiply(B,inverse(multiply(inverse(C),C))))))
% <->
% inverse(multiply(inverse(A),multiply(b1,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(b1,multiply(inverse(multiply(A,multiply(A,b1))),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(b1),b1))))
% 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(b1),b1)))) <->
% 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(b1,multiply(A,multiply(b1,inverse(multiply(inverse(B),multiply(A,
% multiply(b1,
% inverse(
% multiply(
% inverse(b1),b1)))))))))
% -> multiply(b1,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(b1,multiply(A,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% <->
% multiply(b1,inverse(multiply(B,multiply(b1,multiply(b1,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(b1,inverse(multiply(B,multiply(b1,multiply(b1,inverse(multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(A,inverse(multiply(B,multiply(b1,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(b1,multiply(B,inverse(multiply(inverse(C),C)))))
% <->
% multiply(inverse(A),multiply(b1,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% Rule
% [126]
% multiply(inverse(multiply(b1,A)),multiply(b1,multiply(B,inverse(multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(b1,A)),multiply(b1,multiply(B,inverse(multiply(
% inverse(V_3),V_3)))))
% collapsed.
% Rule
% [204]
% inverse(multiply(inverse(A),multiply(b1,multiply(B,inverse(multiply(inverse(C),C))))))
% <->
% inverse(multiply(inverse(A),multiply(b1,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(b1,B)),multiply(b1,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(b1,multiply(inverse(multiply(B,multiply(B,b1))),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(b1,inverse(multiply(inverse(B),multiply(A,multiply(b1,
% inverse(
% multiply(
% inverse(b1),b1))))))))
% -> B
% Rule
% [208]
% multiply(b1,multiply(A,multiply(b1,inverse(multiply(inverse(B),multiply(A,
% multiply(b1,
% inverse(
% multiply(
% inverse(b1),b1)))))))))
% -> multiply(b1,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(b1,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% <->
% inverse(multiply(inverse(A),multiply(b1,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(b1,multiply(B,inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% <->
% inverse(multiply(inverse(A),multiply(b1,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(b1,B)),multiply(b1,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(b1,multiply(inverse(multiply(inverse(multiply(b1,A)),multiply(b1,b1))),B))
% Current number of equations to process: 4646
% Current number of ordered equations: 1
% Current number of rules: 119
% New rule produced :
% [227]
% multiply(b1,multiply(inverse(multiply(inverse(multiply(b1,A)),multiply(b1,b1))),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(b1,multiply(inverse(multiply(b1,multiply(A,b1))),multiply(b1,B)))
% Current number of equations to process: 4675
% Current number of ordered equations: 1
% Current number of rules: 121
% New rule produced :
% [229]
% multiply(b1,multiply(inverse(multiply(b1,multiply(A,b1))),multiply(b1,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(b1,multiply(inverse(multiply(A,multiply(B,b1))),multiply(A,C))) <->
% multiply(V_3,multiply(inverse(multiply(b1,multiply(B,V_3))),multiply(b1,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(b1,multiply(B,V_3))),multiply(b1,C)))
% <-> multiply(b1,multiply(inverse(multiply(A,multiply(B,b1))),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(b1,multiply(inverse(multiply(A,multiply(inverse(multiply(B,multiply(C,A))),b1))),V_3))
% <->
% multiply(V_4,multiply(inverse(multiply(b1,multiply(inverse(multiply(B,
% multiply(C,b1))),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(b1,multiply(inverse(multiply(B,
% multiply(C,b1))),V_4))),V_3))
% <->
% multiply(b1,multiply(inverse(multiply(A,multiply(inverse(multiply(B,multiply(C,A))),b1))),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(b1,multiply(inverse(multiply(inverse(multiply(b1,A)),multiply(b1,b1))),B)) is composed into 
% [226]
% multiply(C,multiply(inverse(multiply(inverse(multiply(V_3,A)),multiply(V_3,C))),B))
% ->
% multiply(inverse(multiply(b1,multiply(inverse(A),multiply(inverse(A),A)))),
% multiply(b1,B))
% New rule produced :
% [234]
% multiply(b1,multiply(inverse(multiply(inverse(multiply(C,A)),multiply(C,b1))),B))
% ->
% multiply(inverse(multiply(b1,multiply(inverse(A),multiply(inverse(A),A)))),
% multiply(b1,B))
% Rule
% [227]
% multiply(b1,multiply(inverse(multiply(inverse(multiply(b1,A)),multiply(b1,b1))),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(b1,multiply(inverse(multiply(C,
% multiply(V_3,b1))),V_4)))
% <->
% multiply(inverse(multiply(b1,B)),multiply(b1,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(b1,B)),multiply(b1,multiply(inverse(multiply(C,
% multiply(V_3,A))),V_4)))
% <->
% multiply(inverse(multiply(A,B)),multiply(b1,multiply(inverse(multiply(C,
% multiply(V_3,b1))),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(b1,multiply(inverse(multiply(A,multiply(B,b1))),C))),
% multiply(V_3,V_4)) <->
% multiply(inverse(multiply(b1,multiply(inverse(multiply(A,multiply(B,V_3))),C))),
% multiply(b1,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(b1,multiply(inverse(multiply(A,multiply(B,V_3))),C))),
% multiply(b1,V_4)) <->
% multiply(inverse(multiply(b1,multiply(inverse(multiply(A,multiply(B,b1))),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(b1,multiply(b1,A))),multiply(b1,
% multiply(b1,B))))
% <->
% multiply(b1,multiply(inverse(multiply(b1,multiply(C,b1))),multiply(b1,
% 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(b1,multiply(inverse(multiply(b1,multiply(C,b1))),multiply(b1,
% multiply(C,B))))
% <->
% multiply(A,multiply(inverse(multiply(b1,multiply(b1,A))),multiply(b1,
% multiply(b1,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(b1,multiply(B,A))),multiply(b1,multiply(B,C))))
% <->
% multiply(b1,multiply(inverse(multiply(b1,multiply(b1,b1))),multiply(b1,
% multiply(b1,C))))
% Current number of equations to process: 4791
% Current number of ordered equations: 1
% Current number of rules: 133
% New rule produced :
% [242]
% multiply(b1,multiply(inverse(multiply(b1,multiply(b1,b1))),multiply(b1,
% multiply(b1,C))))
% <->
% multiply(A,multiply(inverse(multiply(b1,multiply(B,A))),multiply(b1,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(b1,multiply(b1,multiply(A,inverse(inverse(multiply(
% inverse(B),B))))))),
% multiply(b1,C)) ->
% multiply(b1,multiply(inverse(multiply(b1,multiply(A,b1))),C))
% Current number of equations to process: 4803
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [244]
% multiply(b1,multiply(inverse(multiply(b1,multiply(B,b1))),multiply(b1,
% 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(b1,multiply(inverse(multiply(b1,multiply(inverse(multiply(C,
% multiply(V_3,b1))),b1))),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(b1,multiply(inverse(multiply(b1,multiply(inverse(multiply(C,
% multiply(V_3,b1))),b1))),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(b1,multiply(inverse(multiply(B,multiply(inverse(inverse(multiply(
% inverse(A),A))),b1))),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(b1,V_3)),
% multiply(b1,B)))),V_4))
% <->
% multiply(b1,multiply(inverse(multiply(C,multiply(inverse(multiply(A,V_3)),b1))),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(b1,multiply(inverse(multiply(C,multiply(inverse(multiply(A,V_3)),b1))),V_4))
% <->
% multiply(multiply(A,B),multiply(inverse(multiply(C,multiply(inverse(multiply(b1,V_3)),
% multiply(b1,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(b1,A)),multiply(b1,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(b1,A)),multiply(b1,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(b1,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% <->
% inverse(multiply(inverse(A),multiply(b1,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(b1,multiply(b1,multiply(A,inverse(multiply(
% inverse(B),B)))))),
% multiply(b1,C)) ->
% multiply(b1,multiply(inverse(multiply(b1,multiply(A,b1))),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(b1,multiply(A,inverse(inverse(multiply(
% inverse(V_3),V_3))))))),
% multiply(C,B)) ->
% multiply(b1,multiply(inverse(multiply(b1,multiply(A,b1))),B))
% Rule
% [243]
% multiply(inverse(multiply(b1,multiply(b1,multiply(A,inverse(inverse(multiply(
% inverse(B),B))))))),
% multiply(b1,C)) ->
% multiply(b1,multiply(inverse(multiply(b1,multiply(A,b1))),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(b1,multiply(inverse(inverse(multiply(inverse(A),A))),inverse(
% multiply(
% inverse(B),
% multiply(b1,
% 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(b1,A)),multiply(b1,B))),multiply(
% inverse(
% multiply(C,A)),
% multiply(C,V_3)))
% ->
% multiply(inverse(multiply(b1,multiply(b1,B))),multiply(b1,multiply(b1,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(b1,multiply(A,inverse(inverse(
% multiply(
% inverse(C),C))))))))
% <->
% multiply(V_3,inverse(multiply(B,multiply(b1,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% Rule
% [118]
% multiply(A,inverse(multiply(B,multiply(b1,multiply(A,inverse(inverse(
% multiply(
% inverse(C),C))))))))
% <->
% multiply(b1,inverse(multiply(B,multiply(b1,multiply(b1,inverse(multiply(
% inverse(V_3),V_3)))))))
% collapsed.
% Rule
% [152]
% multiply(A,inverse(multiply(inverse(B),multiply(b1,multiply(A,inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% <->
% multiply(V_3,inverse(multiply(inverse(B),multiply(b1,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(b1,multiply(A,inverse(multiply(
% inverse(C),C)))))))
% <->
% multiply(V_3,inverse(multiply(B,multiply(b1,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% Rule
% [144]
% multiply(A,inverse(multiply(B,multiply(b1,multiply(A,inverse(multiply(
% inverse(C),C)))))))
% <->
% multiply(b1,inverse(multiply(B,multiply(b1,multiply(b1,inverse(multiply(
% inverse(V_3),V_3)))))))
% collapsed.
% Rule
% [200]
% multiply(A,inverse(multiply(inverse(B),multiply(b1,multiply(A,inverse(
% multiply(
% inverse(C),C)))))))
% <->
% multiply(V_3,inverse(multiply(inverse(B),multiply(b1,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(b1,A)),multiply(b1,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(b1,A)),multiply(b1,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(b1,A)),multiply(b1,multiply(B,multiply(b1,inverse(
% multiply(
% inverse(V_3),V_3))))))
% <->
% multiply(inverse(multiply(b1,A)),multiply(b1,multiply(B,multiply(b1,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(b1,multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),
% inverse(multiply(inverse(B),multiply(b1,inverse(inverse(multiply(
% inverse(b1),b1))))))))
% -> B
% Current number of equations to process: 4218
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [264]
% multiply(b1,multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),
% inverse(multiply(inverse(B),multiply(b1,inverse(inverse(multiply(
% inverse(b1),b1))))))))
% -> B
% Current number of equations to process: 4336
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [265]
% multiply(b1,multiply(inverse(multiply(b1,multiply(inverse(inverse(inverse(
% multiply(
% inverse(A),A)))),b1))),B))
% ->
% multiply(inverse(multiply(b1,multiply(b1,inverse(inverse(multiply(inverse(A),A)))))),
% multiply(b1,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(b1,multiply(A,B))),multiply(b1,multiply(A,inverse(
% multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(b1,multiply(b1,B))),multiply(b1,multiply(b1,
% 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(b1,multiply(b1,B))),multiply(b1,multiply(b1,
% inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(b1,multiply(A,B))),multiply(b1,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(b1,A)),multiply(b1,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(b1,multiply(inverse(multiply(A,multiply(A,b1))),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(b1,A)),multiply(b1,A))) ->
% inverse(multiply(inverse(b1),b1))
% 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(b1),b1))
% Rule
% [270]
% inverse(multiply(inverse(multiply(b1,A)),multiply(b1,A))) ->
% inverse(multiply(inverse(b1),b1)) 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(b1,multiply(A,multiply(b1,inverse(multiply(
% inverse(C),C)))))),
% multiply(b1,B)) ->
% multiply(b1,multiply(inverse(multiply(A,multiply(b1,b1))),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(b1,multiply(inverse(multiply(B,multiply(B,b1))),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(b1,multiply(inverse(multiply(B,multiply(B,b1))),multiply(B,
% multiply(B,
% inverse(
% multiply(
% inverse(C),C)))))) is composed into 
% [274] inverse(multiply(inverse(A),A)) <-> inverse(multiply(inverse(b1),b1))
% New rule produced :
% [275]
% multiply(b1,multiply(inverse(multiply(B,multiply(B,b1))),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(b1),b1)))))))
% -> 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(b1),b1)))),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(b1,multiply(inverse(multiply(A,multiply(A,b1))),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(b1),b1)))),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(b1),b1)))) collapsed.
% Rule
% [207]
% multiply(A,inverse(inverse(multiply(inverse(b1),b1)))) <->
% multiply(A,inverse(inverse(multiply(inverse(C),C)))) collapsed.
% Rule
% [214]
% multiply(inverse(A),multiply(b1,multiply(B,inverse(multiply(inverse(C),C)))))
% <->
% multiply(inverse(A),multiply(b1,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% collapsed.
% Rule
% [261]
% multiply(inverse(multiply(b1,A)),multiply(b1,multiply(B,multiply(b1,inverse(
% multiply(
% inverse(V_3),V_3))))))
% <->
% multiply(inverse(multiply(b1,A)),multiply(b1,multiply(B,multiply(b1,inverse(
% multiply(
% inverse(C),C))))))
% collapsed.
% Rule
% [271]
% inverse(multiply(inverse(multiply(A,B)),multiply(A,B))) ->
% inverse(multiply(inverse(b1),b1)) collapsed.
% Rule
% [274] inverse(multiply(inverse(A),A)) <-> inverse(multiply(inverse(b1),b1))
% 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(b1),b1))),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(b1),b1))),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(b1,multiply(A,inverse(inverse(multiply(inverse(B),B)))))),
% multiply(b1,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(b1,multiply(A,inverse(inverse(multiply(inverse(B),B)))))),
% multiply(b1,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(b1),b1)))))))
% -> 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(b1,multiply(inverse(multiply(b1,multiply(A,b1))),multiply(b1,
% 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(b1,B)),multiply(b1,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(b1,multiply(inverse(inverse(multiply(inverse(A),A))),inverse(
% multiply(
% inverse(B),
% multiply(b1,
% 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(b1),b1)))
% 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(b1),b1))))
% -> 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(b1,multiply(B,inverse(multiply(inverse(C),C))))),
% multiply(b1,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(b1,multiply(B,inverse(multiply(inverse(C),C))))),
% multiply(b1,multiply(B,inverse(multiply(inverse(V_3),V_3))))) is composed into 
% [318] inverse(multiply(inverse(A),A)) <-> inverse(multiply(inverse(b1),b1))
% New rule produced :
% [319]
% multiply(inverse(multiply(b1,multiply(B,inverse(multiply(inverse(C),C))))),
% multiply(b1,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(b1,multiply(A,multiply(B,inverse(inverse(multiply(
% inverse(b1),b1))))))),
% multiply(b1,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(b1,multiply(inverse(inverse(multiply(inverse(b1),b1))),inverse(
% multiply(
% inverse(A),
% multiply(b1,
% inverse(
% inverse(
% multiply(
% inverse(b1),b1))))))))
% -> 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(b1,multiply(B,inverse(multiply(inverse(C),C))))))
% <->
% inverse(multiply(A,multiply(b1,multiply(B,inverse(inverse(inverse(inverse(
% multiply(
% inverse(V_3),V_3)))))))))
% Rule
% [196]
% inverse(multiply(inverse(A),multiply(b1,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% <->
% inverse(multiply(inverse(A),multiply(b1,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(b1,multiply(B,inverse(inverse(inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))))
% <->
% multiply(inverse(A),multiply(b1,multiply(B,inverse(multiply(inverse(C),C)))))
% Rule
% [111]
% inverse(multiply(inverse(multiply(b1,multiply(A,B))),multiply(b1,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% -> B collapsed.
% Rule
% [155]
% multiply(b1,multiply(A,inverse(multiply(inverse(B),multiply(b1,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))
% -> B collapsed.
% Rule
% [197]
% inverse(multiply(inverse(A),multiply(b1,multiply(B,inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% <->
% inverse(multiply(inverse(A),multiply(b1,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(b1,inverse(multiply(inverse(A),multiply(B,multiply(b1,inverse(
% multiply(
% inverse(b1),b1)))))))
% Current number of equations to process: 2800
% Current number of ordered equations: 1
% Current number of rules: 164
% New rule produced :
% [327]
% multiply(b1,inverse(multiply(inverse(A),multiply(B,multiply(b1,inverse(
% multiply(
% inverse(b1),b1)))))))
% <->
% 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(b1,multiply(A,inverse(multiply(inverse(B),multiply(b1,multiply(A,
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B collapsed.
% Rule
% [219]
% multiply(A,multiply(b1,inverse(multiply(inverse(B),multiply(A,multiply(b1,
% inverse(
% multiply(
% inverse(b1),b1))))))))
% -> 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(b1,multiply(inverse(multiply(b1,multiply(A,b1))),multiply(b1,
% 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(b1,multiply(inverse(multiply(A,multiply(A,b1))),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(b1,multiply(B,inverse(inverse(inverse(multiply(inverse(C),C)))))))
% <-> multiply(A,multiply(b1,multiply(B,inverse(multiply(inverse(V_3),V_3)))))
% Rule
% [203]
% multiply(inverse(A),multiply(b1,multiply(B,inverse(inverse(inverse(multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(inverse(A),multiply(b1,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(b1,inverse(multiply(inverse(multiply(b1,multiply(A,B))),multiply(b1,
% multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% -> multiply(b1,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(b1,multiply(A,inverse(inverse(multiply(inverse(B),B)))))),
% multiply(b1,multiply(A,inverse(multiply(inverse(C),C))))) ->
% inverse(multiply(inverse(B),B))
% Rule
% [95]
% multiply(inverse(multiply(b1,multiply(A,inverse(inverse(multiply(inverse(B),B)))))),
% multiply(b1,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(b1,A)),multiply(b1,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(b1,A)),multiply(b1,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(b1),b1)))))))
% -> 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(b1),b1))),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(b1,A)),multiply(b1,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(b1,A)),multiply(b1,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(b1,B)),multiply(b1,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(b1,B)),multiply(b1,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(b1,multiply(inverse(multiply(B,multiply(B,b1))),
% 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(b1,multiply(inverse(multiply(B,multiply(B,b1))),
% 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(b1),b1))))
% New rule produced :
% [346]
% multiply(A,inverse(multiply(b1,multiply(inverse(multiply(B,multiply(B,b1))),
% 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(b1,A)),multiply(b1,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(b1,A)),multiply(b1,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(b1,inverse(multiply(inverse(B),multiply(A,multiply(b1,
% inverse(
% inverse(
% multiply(
% inverse(b1),b1)))))))))
% -> 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(b1,multiply(A,inverse(inverse(inverse(multiply(
% inverse(V_3),V_3))))))),
% multiply(b1,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(b1,multiply(A,inverse(inverse(inverse(multiply(
% inverse(V_3),V_3))))))),
% multiply(b1,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(b1,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% <->
% inverse(multiply(A,multiply(b1,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(b1,multiply(B,inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% <->
% inverse(multiply(A,multiply(b1,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% Rule
% [222]
% inverse(multiply(inverse(A),multiply(b1,multiply(B,inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% <->
% inverse(multiply(inverse(A),multiply(b1,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(b1,C))),multiply(V_3,
% multiply(b1,B))))
% <->
% multiply(b1,multiply(inverse(multiply(b1,multiply(A,b1))),multiply(b1,
% multiply(A,B))))
% Rule
% [239]
% multiply(A,multiply(inverse(multiply(b1,multiply(b1,A))),multiply(b1,
% multiply(b1,B))))
% <->
% multiply(b1,multiply(inverse(multiply(b1,multiply(C,b1))),multiply(b1,
% 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(b1,multiply(inverse(multiply(b1,multiply(A,b1))),multiply(b1,
% multiply(A,B))))
% <->
% multiply(C,multiply(inverse(multiply(V_3,multiply(b1,C))),multiply(V_3,
% multiply(b1,B))))
% Rule
% [240]
% multiply(b1,multiply(inverse(multiply(b1,multiply(C,b1))),multiply(b1,
% multiply(C,B))))
% <->
% multiply(A,multiply(inverse(multiply(b1,multiply(b1,A))),multiply(b1,
% multiply(b1,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(b1,multiply(B,A))),multiply(b1,C))) <->
% multiply(V_3,multiply(inverse(multiply(V_4,multiply(B,V_3))),multiply(V_4,C)))
% Rule
% [229]
% multiply(b1,multiply(inverse(multiply(b1,multiply(A,b1))),multiply(b1,B)))
% <->
% multiply(C,multiply(inverse(multiply(V_3,multiply(A,C))),multiply(V_3,B)))
% collapsed.
% Rule
% [231]
% multiply(V_3,multiply(inverse(multiply(b1,multiply(B,V_3))),multiply(b1,C)))
% <-> multiply(b1,multiply(inverse(multiply(A,multiply(B,b1))),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(b1,multiply(inverse(multiply(b1,multiply(b1,b1))),multiply(b1,
% multiply(b1,A))))
% Rule
% [241]
% multiply(A,multiply(inverse(multiply(b1,multiply(B,A))),multiply(b1,multiply(B,C))))
% <->
% multiply(b1,multiply(inverse(multiply(b1,multiply(b1,b1))),multiply(b1,
% multiply(b1,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(b1,multiply(inverse(multiply(b1,multiply(b1,b1))),multiply(b1,
% multiply(b1,A))))
% <->
% multiply(B,multiply(inverse(multiply(C,multiply(V_3,B))),multiply(C,multiply(V_3,A))))
% Rule
% [242]
% multiply(b1,multiply(inverse(multiply(b1,multiply(b1,b1))),multiply(b1,
% multiply(b1,C))))
% <->
% multiply(A,multiply(inverse(multiply(b1,multiply(B,A))),multiply(b1,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(b1,multiply(inverse(multiply(C,
% multiply(V_3,b1))),V_5))),V_4))
% Rule
% [232]
% multiply(b1,multiply(inverse(multiply(A,multiply(inverse(multiply(B,multiply(C,A))),b1))),V_3))
% <->
% multiply(V_4,multiply(inverse(multiply(b1,multiply(inverse(multiply(B,
% multiply(C,b1))),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(b1,multiply(inverse(multiply(b1,multiply(inverse(multiply(C,
% multiply(V_3,b1))),b1))),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(b1,multiply(inverse(multiply(V_5,multiply(inverse(multiply(C,
% multiply(V_3,V_5))),b1))),V_4))
% Rule
% [233]
% multiply(V_4,multiply(inverse(multiply(b1,multiply(inverse(multiply(B,
% multiply(C,b1))),V_4))),V_3))
% <->
% multiply(b1,multiply(inverse(multiply(A,multiply(inverse(multiply(B,multiply(C,A))),b1))),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(b1,B)),multiply(b1,multiply(inverse(multiply(V_3,
% multiply(V_4,A))),V_5)))
% Rule
% [235]
% multiply(inverse(multiply(A,B)),multiply(b1,multiply(inverse(multiply(C,
% multiply(V_3,b1))),V_4)))
% <->
% multiply(inverse(multiply(b1,B)),multiply(b1,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(b1),b1))) ->
% multiply(inverse(multiply(b1,A)),multiply(b1,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(b1,multiply(inverse(multiply(B,multiply(C,V_4))),V_3))),
% multiply(b1,V_5))
% Rule
% [237]
% multiply(inverse(multiply(b1,multiply(inverse(multiply(A,multiply(B,b1))),C))),
% multiply(V_3,V_4)) <->
% multiply(inverse(multiply(b1,multiply(inverse(multiply(A,multiply(B,V_3))),C))),
% multiply(b1,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(b1,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% <->
% inverse(multiply(A,multiply(b1,multiply(B,inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))) is composed into 
% [354]
% inverse(multiply(A,multiply(b1,multiply(B,inverse(multiply(inverse(V_3),V_3))))))
% <->
% inverse(multiply(A,multiply(b1,multiply(B,inverse(inverse(multiply(inverse(C),C)))))))
% Rule [323]
% inverse(multiply(A,multiply(b1,multiply(B,inverse(multiply(inverse(C),C))))))
% <->
% inverse(multiply(A,multiply(b1,multiply(B,inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))))))))) is composed into 
% [323]
% inverse(multiply(A,multiply(b1,multiply(B,inverse(multiply(inverse(C),C))))))
% <->
% inverse(multiply(A,multiply(b1,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(b1,multiply(A,B))),multiply(b1,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% -> B collapsed.
% Rule
% [122]
% inverse(multiply(inverse(multiply(b1,multiply(A,B))),multiply(b1,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(b1,multiply(A,B))),multiply(b1,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))))
% -> B collapsed.
% Rule
% [157]
% multiply(b1,multiply(A,inverse(multiply(inverse(B),multiply(b1,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))))
% -> B collapsed.
% Rule
% [159]
% multiply(b1,multiply(A,inverse(multiply(inverse(B),multiply(b1,multiply(A,
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))))))
% -> B collapsed.
% Rule
% [161]
% multiply(b1,multiply(A,inverse(multiply(inverse(B),multiply(b1,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(b1,multiply(inverse(inverse(inverse(inverse(multiply(inverse(A),A))))),
% inverse(multiply(inverse(B),multiply(b1,inverse(inverse(multiply(
% inverse(b1),b1))))))))
% -> B collapsed.
% Rule
% [268]
% multiply(inverse(multiply(b1,A)),multiply(b1,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(b1,multiply(B,inverse(inverse(inverse(inverse(
% multiply(
% inverse(V_3),V_3))))))))
% <->
% multiply(inverse(A),multiply(b1,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(b1),b1)))))))
% -> 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(b1,multiply(B,inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))))))))
% <->
% inverse(multiply(A,multiply(b1,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(b1),b1))))
% -> 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(b1,A)),multiply(b1,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(b1,multiply(A,B))),multiply(b1,multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B
% Rule
% [332]
% multiply(b1,inverse(multiply(inverse(multiply(b1,multiply(A,B))),multiply(b1,
% multiply(A,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% -> multiply(b1,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(b1,multiply(A,inverse(multiply(inverse(B),multiply(b1,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(b1,multiply(inverse(multiply(inverse(A),A)),inverse(multiply(
% inverse(B),
% multiply(b1,
% inverse(
% inverse(
% multiply(
% inverse(b1),b1))))))))
% -> 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(b1),b1)))))))
% -> 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(b1,multiply(inverse(multiply(A,multiply(A,b1))),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(b1,multiply(inverse(multiply(A,multiply(A,b1))),multiply(A,
% multiply(A,
% inverse(
% inverse(
% multiply(
% inverse(B),B))))))) is composed into 
% [381] inverse(multiply(inverse(C),C)) <-> inverse(multiply(inverse(b1),b1))
% New rule produced :
% [382]
% multiply(b1,multiply(inverse(multiply(A,multiply(A,b1))),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(b1,multiply(inverse(multiply(b1,multiply(A,b1))),multiply(b1,
% multiply(A,
% inverse(inverse(
% multiply(
% inverse(B),B)))))))
% -> inverse(inverse(multiply(inverse(b1),b1)))
% 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(b1,multiply(inverse(inverse(multiply(inverse(b1),b1))),multiply(
% inverse(b1),
% multiply(
% inverse(b1),b1))))
% 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(b1,multiply(inverse(inverse(multiply(inverse(b1),b1))),
% multiply(inverse(b1),multiply(inverse(b1),b1)))) is composed into 
% [384] inverse(multiply(inverse(A),A)) <-> inverse(multiply(inverse(b1),b1))
% New rule produced :
% [385]
% multiply(b1,multiply(inverse(inverse(multiply(inverse(b1),b1))),multiply(
% inverse(b1),
% multiply(
% inverse(b1),b1))))
% <-> 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(b1,multiply(B,A))),multiply(b1,multiply(B,
% inverse(
% multiply(
% inverse(C),C))))))
% -> inverse(multiply(inverse(C),C))
% Rule
% [244]
% multiply(b1,multiply(inverse(multiply(b1,multiply(B,b1))),multiply(b1,
% 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(b1,multiply(inverse(multiply(B,multiply(inverse(inverse(multiply(
% inverse(A),A))),b1))),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(b1,A)),multiply(b1,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(b1,A)),multiply(b1,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(b1,A)),multiply(b1,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(b1,A)),multiply(b1,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(b1,V_3)),
% multiply(b1,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(b1,V_3)),
% multiply(b1,B)))),V_4))
% <->
% multiply(b1,multiply(inverse(multiply(C,multiply(inverse(multiply(A,V_3)),b1))),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(b1,V_3)),
% multiply(b1,V_5)))),V_4))
% Rule
% [249]
% multiply(b1,multiply(inverse(multiply(C,multiply(inverse(multiply(A,V_3)),b1))),V_4))
% <->
% multiply(multiply(A,B),multiply(inverse(multiply(C,multiply(inverse(multiply(b1,V_3)),
% multiply(b1,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(b1,B)),multiply(b1,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(b1,B)),multiply(b1,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(b1),b1))),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(b1),b1)),multiply(inverse(inverse(multiply(
% inverse(b1),b1))),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(b1),b1)),multiply(inverse(inverse(multiply(
% inverse(b1),b1))),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(b1,multiply(A,multiply(B,inverse(inverse(multiply(
% inverse(C),C))))))),
% multiply(b1,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(b1,multiply(A,multiply(B,inverse(inverse(
% multiply(
% inverse(C),C))))))),
% multiply(b1,V_3)) is composed into [399]
% multiply(V_4,multiply(inverse(
% multiply(A,
% multiply(B,V_4))),V_3))
% <->
% multiply(b1,multiply(inverse(
% multiply(A,
% multiply(B,b1))),V_3))
% New rule produced :
% [400]
% multiply(inverse(multiply(b1,multiply(A,multiply(B,inverse(inverse(multiply(
% inverse(C),C))))))),
% multiply(b1,V_3)) <->
% multiply(V_4,multiply(inverse(multiply(A,multiply(B,V_4))),V_3))
% Rule
% [320]
% multiply(inverse(multiply(b1,multiply(A,multiply(B,inverse(inverse(multiply(
% inverse(b1),b1))))))),
% multiply(b1,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(b1,A)),multiply(b1,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(b1,A)),multiply(b1,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(b1,multiply(inverse(inverse(multiply(inverse(b1),b1))),inverse(
% multiply(
% inverse(A),
% multiply(b1,
% inverse(
% inverse(
% multiply(
% inverse(B),B))))))))
% -> A
% Rule
% [321]
% multiply(b1,multiply(inverse(inverse(multiply(inverse(b1),b1))),inverse(
% multiply(
% inverse(A),
% multiply(b1,
% inverse(
% inverse(
% multiply(
% inverse(b1),b1))))))))
% -> 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(b1,multiply(A,multiply(
% inverse(C),C))))))
% <->
% multiply(V_3,inverse(multiply(inverse(B),multiply(b1,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(b1,multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(b1,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(b1,multiply(A,multiply(B,inverse(multiply(inverse(C),C)))))),
% multiply(b1,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(b1,multiply(A,multiply(B,inverse(multiply(
% inverse(C),C)))))),
% multiply(b1,V_3)) is composed into [406]
% multiply(V_4,multiply(inverse(
% multiply(A,
% multiply(B,V_4))),V_3))
% <->
% multiply(b1,multiply(inverse(
% multiply(A,
% multiply(B,b1))),V_3))
% New rule produced :
% [407]
% multiply(inverse(multiply(b1,multiply(A,multiply(B,inverse(multiply(inverse(C),C)))))),
% multiply(b1,V_3)) <->
% multiply(V_4,multiply(inverse(multiply(A,multiply(B,V_4))),V_3))
% Rule
% [253]
% multiply(inverse(multiply(b1,multiply(b1,multiply(A,inverse(multiply(
% inverse(B),B)))))),
% multiply(b1,C)) ->
% multiply(b1,multiply(inverse(multiply(b1,multiply(A,b1))),C)) collapsed.
% Rule
% [272]
% multiply(inverse(multiply(b1,multiply(A,multiply(b1,inverse(multiply(
% inverse(C),C)))))),
% multiply(b1,B)) ->
% multiply(b1,multiply(inverse(multiply(A,multiply(b1,b1))),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(b1,multiply(B,inverse(multiply(inverse(C),C)))))),
% multiply(A,V_3)) ->
% multiply(b1,multiply(inverse(multiply(b1,multiply(B,b1))),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(b1,multiply(B,inverse(inverse(inverse(
% multiply(
% inverse(C),C)))))))),
% multiply(A,V_3)) ->
% multiply(b1,multiply(inverse(multiply(b1,multiply(B,b1))),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(b1,multiply(inverse(inverse(multiply(inverse(A),A))),inverse(
% multiply(
% inverse(B),
% multiply(b1,
% inverse(
% multiply(
% inverse(b1),b1)))))))
% -> B
% Current number of equations to process: 4051
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [411]
% multiply(b1,multiply(inverse(inverse(multiply(inverse(A),A))),inverse(
% multiply(
% inverse(B),
% multiply(b1,
% inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B
% Rule
% [403]
% multiply(b1,multiply(inverse(inverse(multiply(inverse(b1),b1))),inverse(
% multiply(
% inverse(A),
% multiply(b1,
% 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(b1,multiply(inverse(multiply(inverse(A),A)),inverse(multiply(
% inverse(B),
% multiply(b1,
% 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(b1,multiply(inverse(inverse(multiply(inverse(b1),b1))),inverse(
% multiply(
% inverse(A),
% multiply(b1,
% 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(b1,multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),
% inverse(multiply(inverse(B),multiply(b1,inverse(inverse(multiply(
% inverse(C),C))))))))
% -> B
% Rule
% [158]
% multiply(b1,multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),
% inverse(multiply(inverse(B),multiply(b1,inverse(inverse(multiply(
% inverse(A),A))))))))
% -> B collapsed.
% Rule
% [263]
% multiply(b1,multiply(inverse(inverse(inverse(multiply(inverse(A),A)))),
% inverse(multiply(inverse(B),multiply(b1,inverse(inverse(multiply(
% inverse(b1),b1))))))))
% -> 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(b1,multiply(b1,inverse(multiply(inverse(A),A))))),
% multiply(b1,B)) ->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(b1,
% 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(b1,multiply(inverse(multiply(b1,multiply(B,b1))),
% multiply(A,inverse(multiply(inverse(C),C)))))))
% <-> multiply(b1,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(b1,multiply(b1,A))),multiply(b1,multiply(b1,
% 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(b1,multiply(b1,A))),multiply(b1,multiply(b1,
% 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(b1,multiply(inverse(multiply(B,multiply(C,b1))),V_3)) collapsed.
% Rule
% [135]
% multiply(b1,multiply(inverse(multiply(B,multiply(C,b1))),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(b1,multiply(inverse(multiply(A,multiply(B,b1))),V_3)) collapsed.
% Rule
% [406]
% multiply(V_4,multiply(inverse(multiply(A,multiply(B,V_4))),V_3)) <->
% multiply(b1,multiply(inverse(multiply(A,multiply(B,b1))),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(b1,multiply(inverse(multiply(A,multiply(B,b1))),multiply(b1,
% inverse(multiply(
% inverse(C),C)))))
% <->
% multiply(V_3,multiply(inverse(multiply(A,multiply(B,V_3))),multiply(b1,
% 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(b1,
% inverse(multiply(
% inverse(V_4),V_4)))))
% <->
% multiply(b1,multiply(inverse(multiply(A,multiply(B,b1))),multiply(b1,
% 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(b1,A)),multiply(b1,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(b1,A)),multiply(b1,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(b1,inverse(multiply(B,multiply(b1,multiply(b1,inverse(multiply(
% inverse(C),C)))))))
% <->
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(B,
% multiply(b1,
% 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(b1,
% inverse(multiply(
% inverse(A),A))))))
% <->
% multiply(b1,inverse(multiply(B,multiply(b1,multiply(b1,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(b1,multiply(A,inverse(multiply(inverse(V_3),V_3))))),
% multiply(b1,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(b1,multiply(A,inverse(multiply(inverse(V_3),V_3))))),
% multiply(b1,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(b1,multiply(A,inverse(multiply(inverse(B),B))))),
% multiply(b1,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(b1,multiply(A,inverse(multiply(inverse(B),B))))),
% multiply(b1,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(b1,B)),multiply(b1,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(b1,multiply(inverse(multiply(V_3,multiply(A,b1))),multiply(V_3,C)))
% <->
% multiply(multiply(A,inverse(multiply(inverse(B),B))),multiply(b1,multiply(
% inverse(
% multiply(A,
% multiply(A,b1))),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(b1,multiply(
% inverse(
% multiply(A,
% multiply(A,b1))),C)))
% <->
% multiply(b1,multiply(inverse(multiply(V_3,multiply(A,b1))),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(b1,inverse(multiply(inverse(multiply(b1,A)),multiply(b1,multiply(b1,
% multiply(
% inverse(B),B))))))
% ->
% multiply(b1,multiply(b1,inverse(multiply(inverse(A),multiply(b1,multiply(b1,
% multiply(
% inverse(b1),b1)))))))
% 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(b1,A)),B)),multiply(inverse(
% multiply(C,A)),
% multiply(C,V_3))) ->
% multiply(inverse(multiply(b1,B)),multiply(b1,multiply(b1,V_3)))
% Rule
% [256]
% multiply(inverse(multiply(inverse(multiply(b1,A)),multiply(b1,B))),multiply(
% inverse(
% multiply(C,A)),
% multiply(C,V_3)))
% ->
% multiply(inverse(multiply(b1,multiply(b1,B))),multiply(b1,multiply(b1,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(b1,multiply(b1,multiply(b1,inverse(multiply(inverse(A),multiply(b1,
% multiply(b1,
% multiply(
% inverse(b1),b1))))))))
% -> multiply(b1,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(b1,multiply(A,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% <->
% multiply(V_3,inverse(multiply(B,multiply(b1,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% Rule
% [209]
% multiply(A,inverse(multiply(B,multiply(b1,multiply(A,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% <->
% multiply(b1,inverse(multiply(B,multiply(b1,multiply(b1,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(b1,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(B,multiply(b1,multiply(A,inverse(inverse(
% inverse(
% multiply(
% inverse(C),C)))))))))
% Rule
% [210]
% multiply(b1,inverse(multiply(B,multiply(b1,multiply(b1,inverse(multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(A,inverse(multiply(B,multiply(b1,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(b1,multiply(b1,B))),multiply(b1,
% multiply(b1,
% 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(b1,inverse(multiply(inverse(multiply(b1,A)),multiply(b1,
% multiply(b1,
% multiply(inverse(B),B))))))
% ->
% multiply(b1,multiply(b1,inverse(multiply(inverse(A),multiply(b1,
% multiply(b1,
% multiply(inverse(b1),b1))))))) is composed into 
% [436]
% multiply(b1,inverse(multiply(inverse(multiply(b1,A)),multiply(b1,multiply(b1,
% multiply(
% inverse(B),B))))))
% -> A
% New rule produced :
% [442]
% multiply(b1,multiply(A,inverse(multiply(inverse(B),multiply(b1,multiply(A,
% multiply(
% inverse(C),C)))))))
% -> B
% Rule
% [438]
% multiply(b1,multiply(b1,multiply(b1,inverse(multiply(inverse(A),multiply(b1,
% multiply(b1,
% multiply(
% inverse(b1),b1))))))))
% -> multiply(b1,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(b1,multiply(A,multiply(inverse(C),C))))))
% <->
% multiply(V_3,inverse(multiply(B,multiply(b1,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% Rule
% [404]
% multiply(A,inverse(multiply(inverse(B),multiply(b1,multiply(A,multiply(
% inverse(C),C))))))
% <->
% multiply(V_3,inverse(multiply(inverse(B),multiply(b1,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(b1,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(B,multiply(b1,multiply(A,multiply(inverse(C),C))))))
% Rule
% [258]
% multiply(A,inverse(multiply(B,multiply(b1,multiply(A,inverse(multiply(
% inverse(C),C)))))))
% <->
% multiply(V_3,inverse(multiply(B,multiply(b1,multiply(V_3,inverse(multiply(
% inverse(V_4),V_4)))))))
% collapsed.
% Rule
% [405]
% multiply(V_3,inverse(multiply(inverse(B),multiply(b1,multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4)))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(b1,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(b1,A)),multiply(b1,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(b1,A)),multiply(b1,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(b1,A)),multiply(b1,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(b1,A)),multiply(b1,multiply(B,multiply(B,multiply(
% inverse(C),C)))))
% Rule
% [259]
% multiply(inverse(multiply(b1,A)),multiply(b1,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(b1,A)),multiply(b1,multiply(b1,multiply(b1,
% multiply(inverse(C),C)))))
% <->
% multiply(inverse(multiply(b1,A)),multiply(b1,multiply(b1,multiply(b1,
% 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(b1,A)),multiply(b1,multiply(B,multiply(B,multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(b1,A)),multiply(b1,multiply(B,multiply(B,multiply(
% inverse(C),C)))))
% Rule
% [447]
% multiply(inverse(multiply(b1,A)),multiply(b1,multiply(b1,multiply(b1,
% multiply(inverse(C),C)))))
% <->
% multiply(inverse(multiply(b1,A)),multiply(b1,multiply(b1,multiply(b1,
% 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(b1,multiply(B,multiply(B,inverse(multiply(
% inverse(C),C))))))
% <->
% multiply(inverse(A),multiply(b1,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(b1,multiply(B,multiply(B,multiply(inverse(V_3),V_3)))))
% <->
% multiply(inverse(A),multiply(b1,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(b1,B)),multiply(b1,multiply(C,multiply(C,multiply(
% inverse(V_4),V_4)))))
% Rule
% [448]
% multiply(inverse(multiply(b1,A)),multiply(b1,multiply(B,multiply(B,multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(b1,A)),multiply(b1,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(b1,B)),multiply(b1,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(b1,multiply(b1,inverse(inverse(multiply(inverse(A),A)))))),
% multiply(b1,B)) <->
% multiply(inverse(multiply(inverse(b1),b1)),multiply(inverse(multiply(b1,
% inverse(multiply(
% inverse(b1),b1)))),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(b1),b1)),multiply(inverse(multiply(b1,
% inverse(multiply(
% inverse(b1),b1)))),B))
% <->
% multiply(inverse(multiply(b1,multiply(b1,inverse(inverse(multiply(inverse(A),A)))))),
% multiply(b1,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(b1,
% inverse(multiply(
% inverse(A),A)))),B))
% <->
% multiply(inverse(multiply(b1,multiply(b1,inverse(inverse(inverse(multiply(
% inverse(C),C))))))),
% multiply(b1,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(b1,multiply(b1,inverse(inverse(inverse(multiply(
% inverse(C),C))))))),
% multiply(b1,B)) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(b1,
% 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(b1,multiply(inverse(multiply(A,multiply(A,b1))),multiply(A,inverse(
% multiply(
% inverse(B),B)))))
% <->
% multiply(b1,multiply(inverse(multiply(b1,multiply(A,b1))),multiply(b1,
% 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(b1,multiply(inverse(multiply(b1,multiply(A,b1))),multiply(b1,
% inverse(multiply(
% inverse(C),C)))))
% <->
% multiply(b1,multiply(inverse(multiply(A,multiply(A,b1))),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(b1,multiply(A,B))),multiply(b1,multiply(A,multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(b1,multiply(b1,B))),multiply(b1,multiply(b1,
% 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(b1,multiply(b1,B))),multiply(b1,multiply(b1,
% inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(b1,multiply(A,B))),multiply(b1,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(b1,multiply(b1,A))),multiply(b1,multiply(b1,
% 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(b1,multiply(b1,A))),multiply(b1,multiply(b1,
% multiply(inverse(B),B))))
% New rule produced :
% [461]
% multiply(inverse(multiply(b1,multiply(C,A))),multiply(b1,multiply(C,inverse(
% multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(b1,multiply(b1,A))),multiply(b1,multiply(b1,
% multiply(inverse(B),B))))
% Rule
% [418]
% multiply(inverse(multiply(b1,multiply(b1,A))),multiply(b1,multiply(b1,
% 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(b1,multiply(b1,A))),multiply(b1,multiply(b1,
% multiply(inverse(B),B))))
% <->
% multiply(inverse(multiply(b1,multiply(C,A))),multiply(b1,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(b1,multiply(inverse(multiply(b1,multiply(C,b1))),multiply(b1,
% inverse(multiply(
% inverse(V_4),V_4)))))
% Rule
% [457]
% multiply(b1,multiply(inverse(multiply(A,multiply(A,b1))),multiply(A,inverse(
% multiply(
% inverse(B),B)))))
% <->
% multiply(b1,multiply(inverse(multiply(b1,multiply(A,b1))),multiply(b1,
% 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(b1,multiply(inverse(multiply(b1,multiply(C,b1))),multiply(b1,
% 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(b1,multiply(inverse(multiply(b1,multiply(A,b1))),multiply(b1,
% inverse(multiply(
% inverse(C),C)))))
% <->
% multiply(b1,multiply(inverse(multiply(A,multiply(A,b1))),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(b1,multiply(A,B))),multiply(b1,multiply(A,inverse(
% multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(b1,multiply(V_3,B))),multiply(b1,multiply(V_3,
% inverse(multiply(
% inverse(V_4),V_4)))))
% Rule
% [266]
% multiply(inverse(multiply(b1,multiply(A,B))),multiply(b1,multiply(A,inverse(
% multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(b1,multiply(b1,B))),multiply(b1,multiply(b1,
% inverse(multiply(
% inverse(V_3),V_3)))))
% collapsed.
% Rule
% [267]
% multiply(inverse(multiply(b1,multiply(b1,B))),multiply(b1,multiply(b1,
% inverse(multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(b1,multiply(A,B))),multiply(b1,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(b1,multiply(B,A))),multiply(b1,
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))))
% <-> multiply(B,inverse(inverse(multiply(inverse(V_3),V_3))))
% Rule
% [304]
% inverse(multiply(b1,multiply(inverse(multiply(b1,multiply(A,b1))),multiply(b1,
% 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(b1),b1)))
% 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(b1),b1))),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(b1),b1))),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(b1,multiply(inverse(multiply(b1,b1)),multiply(b1,multiply(inverse(b1),b1))))
% 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(b1,multiply(inverse(multiply(b1,b1)),multiply(b1,multiply(
% inverse(b1),b1)))) is composed into 
% [471] inverse(multiply(inverse(A),A)) <-> inverse(multiply(inverse(b1),b1))
% New rule produced :
% [472]
% multiply(b1,multiply(inverse(multiply(b1,b1)),multiply(b1,multiply(inverse(b1),b1))))
% <-> 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(b1,multiply(inverse(multiply(b1,multiply(b1,b1))),multiply(b1,
% multiply(b1,
% 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(b1,multiply(inverse(multiply(b1,multiply(b1,b1))),multiply(b1,
% multiply(b1,
% multiply(
% inverse(A),A))))) is composed into 
% [473] inverse(multiply(inverse(B),B)) <-> inverse(multiply(inverse(b1),b1))
% New rule produced :
% [474]
% multiply(b1,multiply(inverse(multiply(b1,multiply(b1,b1))),multiply(b1,
% multiply(b1,
% 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(b1,multiply(inverse(multiply(A,multiply(A,b1))),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(b1,multiply(inverse(multiply(A,multiply(A,b1))),multiply(A,
% multiply(A,
% multiply(
% inverse(B),B))))) is composed into 
% [475] inverse(multiply(inverse(C),C)) <-> inverse(multiply(inverse(b1),b1))
% New rule produced :
% [476]
% multiply(b1,multiply(inverse(multiply(A,multiply(A,b1))),multiply(A,multiply(A,
% multiply(
% inverse(B),B)))))
% <-> inverse(multiply(inverse(C),C))
% Rule
% [474]
% multiply(b1,multiply(inverse(multiply(b1,multiply(b1,b1))),multiply(b1,
% multiply(b1,
% 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(b1,multiply(B,A))),inverse(multiply(
% inverse(C),C))))
% <->
% multiply(b1,multiply(inverse(multiply(b1,multiply(B,b1))),inverse(multiply(
% inverse(b1),b1))))
% Current number of equations to process: 4631
% Current number of ordered equations: 1
% Current number of rules: 223
% New rule produced :
% [478]
% multiply(b1,multiply(inverse(multiply(b1,multiply(B,b1))),inverse(multiply(
% inverse(b1),b1))))
% <->
% multiply(A,multiply(inverse(multiply(b1,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(b1,multiply(A,C))),inverse(multiply(
% inverse(b1),b1))))
% <->
% multiply(b1,multiply(inverse(multiply(b1,multiply(A,b1))),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(b1,multiply(inverse(multiply(b1,multiply(A,b1))),inverse(multiply(
% inverse(B),B))))
% <->
% multiply(C,multiply(inverse(multiply(b1,multiply(A,C))),inverse(multiply(
% inverse(b1),b1))))
% 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(b1,multiply(inverse(multiply(b1,multiply(b1,b1))),multiply(b1,
% multiply(b1,
% 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(b1,multiply(inverse(multiply(b1,multiply(b1,b1))),multiply(b1,
% multiply(b1,
% inverse(
% inverse(
% inverse(
% multiply(
% inverse(A),A)))))))) is composed into 
% [481] inverse(multiply(inverse(B),B)) <-> inverse(multiply(inverse(b1),b1))
% New rule produced :
% [482]
% multiply(b1,multiply(inverse(multiply(b1,multiply(b1,b1))),multiply(b1,
% multiply(b1,
% 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(b1),b1)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(multiply(inverse(B),
% inverse(multiply(inverse(b1),b1))))))
% -> 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(b1),b1))),
% inverse(multiply(inverse(B),
% inverse(multiply(inverse(b1),b1))))))
% -> 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(b1),b1)),multiply(inverse(inverse(multiply(
% inverse(b1),b1))),
% 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(b1),b1))) collapsed.
% Rule
% [318] inverse(multiply(inverse(A),A)) <-> inverse(multiply(inverse(b1),b1))
% collapsed.
% Rule
% [323]
% inverse(multiply(A,multiply(b1,multiply(B,inverse(multiply(inverse(C),C))))))
% <->
% inverse(multiply(A,multiply(b1,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(b1),b1)))) 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(b1),b1))
% collapsed.
% Rule
% [384] inverse(multiply(inverse(A),A)) <-> inverse(multiply(inverse(b1),b1))
% collapsed.
% Rule
% [471] inverse(multiply(inverse(A),A)) <-> inverse(multiply(inverse(b1),b1))
% collapsed.
% Rule
% [473] inverse(multiply(inverse(B),B)) <-> inverse(multiply(inverse(b1),b1))
% collapsed.
% Rule
% [475] inverse(multiply(inverse(C),C)) <-> inverse(multiply(inverse(b1),b1))
% collapsed.
% Rule
% [481] inverse(multiply(inverse(B),B)) <-> inverse(multiply(inverse(b1),b1))
% collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% Trivial
% 
% Current number of equations to process: 4938
% Current number of ordered equations: 0
% Current number of rules: 219
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
% 
% The following 29 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(b1,B)),multiply(b1,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(b1,B)),
% multiply(b1,V_3)))
% -> multiply(inverse(multiply(b1,C)),multiply(b1,multiply(A,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(b1,B)),multiply(b1,inverse(multiply(inverse(A),A)))); trace = Cp of 16 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
% [52] multiply(inverse(multiply(b1,multiply(b1,A))),multiply(b1,multiply(b1,B)))
% <->
% multiply(inverse(multiply(b1,multiply(C,A))),multiply(b1,multiply(C,B))); trace = Cp of 25 and 16
% [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)))))))); trace = Cp of 38 and 21
% [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
% [70] multiply(inverse(multiply(b1,multiply(b1,inverse(inverse(multiply(
% inverse(A),A)))))),
% multiply(b1,multiply(b1,inverse(multiply(inverse(A),A))))) ->
% inverse(multiply(inverse(A),A)); trace = Cp of 35 and 30
% [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))))))); trace = Cp of 56 and 3
% [81] inverse(multiply(inverse(multiply(b1,multiply(A,B))),multiply(b1,
% multiply(A,
% inverse(inverse(
% inverse(
% multiply(
% inverse(C),C))))))))
% -> B; trace = Cp of 57 and 52
% [95] multiply(inverse(multiply(b1,multiply(A,inverse(inverse(multiply(
% inverse(B),B)))))),
% multiply(b1,multiply(A,inverse(multiply(inverse(B),B))))) ->
% inverse(multiply(inverse(B),B)); trace = Cp of 70 and 52
% [108] multiply(A,multiply(A,inverse(multiply(inverse(C),C)))) <->
% multiply(A,multiply(A,inverse(inverse(multiply(inverse(B),B))))); trace = Cp of 81 and 79
% [182] multiply(A,multiply(A,inverse(inverse(multiply(inverse(B),B))))) <->
% multiply(A,multiply(A,inverse(inverse(multiply(inverse(C),C))))); trace = Cp of 108 and 16
% [295] inverse(multiply(inverse(B),B)) <-> inverse(multiply(inverse(A),A)); trace = Cp of 182 and 95
% [486] multiply(inverse(B),B) <-> multiply(inverse(A),A); trace = Cp of 295 and 3
% % SZS output end Refutation
% All conjectures have been proven
% 
% Execution time: 61.210000 sec
% res : bool = true
% time is now off
% 
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
% 
% EOF
%------------------------------------------------------------------------------