%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : GRP425-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n073.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32286.75MB
% OS       : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:23:02 EDT 2014

% Result   : Unsatisfiable 32.07s
% Output   : Refutation 32.07s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : GRP425-1 : TPTP v6.0.0. Released v2.6.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n073.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 13:07:13 CDT 2014
% % CPUTime  : 32.07 
% Processing problem /tmp/CiME_4797_n073.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " a2,b2 : constant;  multiply : 2;  inverse : 1;";
% let X = vars "A B C";
% let Axioms = equations F X "
% multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C)))),inverse(multiply(inverse(C),C))) = B;
% ";
% 
% let s1 = status F "
% a2 lr_lex;
% b2 lr_lex;
% multiply lr_lex;
% inverse lr_lex;
% ";
% 
% let p1 = precedence F "
% multiply > inverse > b2 > a2";
% 
% let s2 = status F "
% a2 mul;
% b2 mul;
% multiply mul;
% inverse mul;
% ";
% 
% let p2 = precedence F "
% multiply > inverse > b2 = a2";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " multiply(multiply(inverse(b2),b2),a2) = a2;"
% ;
% (*
% 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(inverse(multiply(inverse(multiply(A,
% inverse(
% multiply(
% inverse(B),C)))),
% multiply(A,inverse(C)))),
% inverse(multiply(inverse(C),C))) = B }
% (1 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { multiply(multiply(inverse(b2),b2),a2) = a2 }
% (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced :
% [1]
% multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),
% multiply(A,inverse(C)))),inverse(multiply(inverse(C),C))) ->
% B
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 1
% New rule produced :
% [2]
% multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(
% multiply(B,
% inverse(
% multiply(
% inverse(A),C)))),
% multiply(B,inverse(C)))),
% inverse(C)))),inverse(multiply(inverse(C),C)))
% -> C
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [3]
% multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(B),
% multiply(inverse(
% multiply(
% inverse(
% multiply(C,
% inverse(
% multiply(
% inverse(B),A)))),
% multiply(C,
% inverse(A)))),
% inverse(A)))),inverse(A)))),
% inverse(multiply(inverse(A),A))) -> A
% 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(V_3,inverse(multiply(inverse(B),C)))),multiply(V_3,
% inverse(C)))
% <->
% multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,
% inverse(inverse(
% multiply(
% inverse(C),C)))))),
% inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(
% inverse(C),C)))))
% Current number of equations to process: 20
% Current number of ordered equations: 1
% Current number of rules: 4
% Rule [4]
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(B),C)))),
% multiply(V_3,inverse(C))) <->
% multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))),
% inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(
% multiply(
% inverse(C),C))))) is composed into 
% [4]
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(B),C)))),multiply(V_3,
% inverse(C)))
% <->
% multiply(inverse(multiply(a2,inverse(multiply(inverse(B),C)))),multiply(a2,
% inverse(C)))
% New rule produced :
% [5]
% multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,
% inverse(inverse(
% multiply(
% inverse(C),C)))))),
% inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(B),C)))),multiply(V_3,
% inverse(C)))
% Current number of equations to process: 20
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [6]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(inverse(
% multiply(
% inverse(C),C)))))
% Current number of equations to process: 24
% Current number of ordered equations: 1
% Current number of rules: 6
% New rule produced :
% [7]
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(inverse(
% multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(
% inverse(C),C)))))
% Current number of equations to process: 24
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [8]
% multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(
% multiply(
% inverse(A),C)))),
% multiply(B,inverse(C)))),inverse(C))) ->
% multiply(inverse(multiply(a2,inverse(multiply(inverse(C),C)))),multiply(a2,
% inverse(C)))
% Rule
% [2]
% multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(
% multiply(B,
% inverse(
% multiply(
% inverse(A),C)))),
% multiply(B,inverse(C)))),
% inverse(C)))),inverse(multiply(inverse(C),C)))
% -> C collapsed.
% Rule
% [3]
% multiply(inverse(multiply(inverse(A),multiply(inverse(multiply(inverse(B),
% multiply(inverse(
% multiply(
% inverse(
% multiply(C,
% inverse(
% multiply(
% inverse(B),A)))),
% multiply(C,
% inverse(A)))),
% inverse(A)))),inverse(A)))),
% inverse(multiply(inverse(A),A))) -> A collapsed.
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [9]
% multiply(inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(A),
% inverse(multiply(
% inverse(C),C)))),C)))),
% multiply(B,inverse(C))) -> A
% Current number of equations to process: 25
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [10]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(
% inverse(A),A)))))
% <->
% multiply(inverse(multiply(C,inverse(B))),multiply(C,inverse(inverse(multiply(
% inverse(A),A)))))
% Current number of equations to process: 24
% Current number of ordered equations: 1
% Current number of rules: 8
% New rule produced :
% [11]
% multiply(inverse(multiply(C,inverse(B))),multiply(C,inverse(inverse(multiply(
% inverse(A),A)))))
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(
% inverse(A),A)))))
% Current number of equations to process: 24
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [12]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,
% inverse(C)))
% <->
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(B),C)))),multiply(V_3,
% inverse(C)))
% Rule
% [4]
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(B),C)))),multiply(V_3,
% inverse(C)))
% <->
% multiply(inverse(multiply(a2,inverse(multiply(inverse(B),C)))),multiply(a2,
% inverse(C)))
% collapsed.
% Current number of equations to process: 56
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [13]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(inverse(
% multiply(
% inverse(C),C)))))
% Rule
% [6]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(inverse(
% multiply(
% inverse(C),C)))))
% collapsed.
% Rule
% [7]
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(inverse(
% multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(
% inverse(C),C)))))
% collapsed.
% Rule
% [10]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(
% inverse(A),A)))))
% <->
% multiply(inverse(multiply(C,inverse(B))),multiply(C,inverse(inverse(multiply(
% inverse(A),A)))))
% collapsed.
% Rule
% [11]
% multiply(inverse(multiply(C,inverse(B))),multiply(C,inverse(inverse(multiply(
% inverse(A),A)))))
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(
% inverse(A),A)))))
% collapsed.
% Current number of equations to process: 59
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [14]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,
% inverse(V_3)))))
% <->
% multiply(inverse(multiply(V_4,inverse(B))),multiply(V_4,inverse(multiply(C,
% inverse(V_3)))))
% Current number of equations to process: 68
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [15]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(C))) <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(C)))
% Rule
% [12]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,
% inverse(C)))
% <->
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(B),C)))),multiply(V_3,
% inverse(C)))
% collapsed.
% Rule
% [13]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(inverse(
% multiply(
% inverse(C),C)))))
% collapsed.
% Rule
% [14]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,
% inverse(V_3)))))
% <->
% multiply(inverse(multiply(V_4,inverse(B))),multiply(V_4,inverse(multiply(C,
% inverse(V_3)))))
% collapsed.
% Current number of equations to process: 83
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [16]
% multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(
% multiply(
% inverse(A),C)))),
% multiply(B,inverse(C)))),inverse(V_3)))
% <->
% multiply(inverse(multiply(V_4,inverse(multiply(inverse(C),C)))),multiply(V_4,
% inverse(V_3)))
% Rule
% [8]
% multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,inverse(
% multiply(
% inverse(A),C)))),
% multiply(B,inverse(C)))),inverse(C))) ->
% multiply(inverse(multiply(a2,inverse(multiply(inverse(C),C)))),multiply(a2,
% inverse(C)))
% collapsed.
% Current number of equations to process: 92
% Current number of ordered equations: 2
% Current number of rules: 5
% New rule produced :
% [17]
% multiply(inverse(multiply(V_4,inverse(V_3))),multiply(V_4,inverse(multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(
% multiply(
% inverse(B),C)))),
% multiply(A,inverse(C)))),inverse(V_3))),B)
% Current number of equations to process: 92
% Current number of ordered equations: 1
% Current number of rules: 6
% Rule [17]
% multiply(inverse(multiply(V_4,inverse(V_3))),multiply(V_4,inverse(
% multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(
% multiply(
% inverse(B),C)))),
% multiply(A,inverse(C)))),inverse(V_3))),B) is composed into 
% [17]
% multiply(inverse(multiply(V_4,inverse(V_3))),multiply(V_4,inverse(multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(a2,inverse(V_3))),multiply(a2,inverse(multiply(
% inverse(C),C))))
% New rule produced :
% [18]
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(
% multiply(
% inverse(B),C)))),
% multiply(A,inverse(C)))),inverse(V_3))),B)
% <->
% multiply(inverse(multiply(V_4,inverse(V_3))),multiply(V_4,inverse(multiply(
% inverse(C),C))))
% Current number of equations to process: 92
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [19]
% multiply(inverse(A),A) <->
% multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),multiply(B,
% inverse(
% multiply(
% inverse(C),C))))
% Current number of equations to process: 94
% Current number of ordered equations: 1
% Current number of rules: 8
% Rule [19]
% multiply(inverse(A),A) <->
% multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),multiply(B,
% inverse(
% multiply(
% inverse(C),C)))) is composed into 
% [19] multiply(inverse(A),A) <-> multiply(inverse(a2),a2)
% New rule produced :
% [20]
% multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),multiply(B,
% inverse(
% multiply(
% inverse(C),C))))
% <-> multiply(inverse(A),A)
% Current number of equations to process: 94
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [21]
% multiply(inverse(multiply(inverse(multiply(a2,inverse(multiply(inverse(A),
% multiply(inverse(B),B))))),
% multiply(a2,inverse(multiply(inverse(B),B))))),inverse(
% multiply(
% inverse(a2),a2)))
% -> A
% Current number of equations to process: 97
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [22]
% multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),
% multiply(A,inverse(C)))),inverse(multiply(inverse(a2),a2)))
% -> B
% Rule
% [21]
% multiply(inverse(multiply(inverse(multiply(a2,inverse(multiply(inverse(A),
% multiply(inverse(B),B))))),
% multiply(a2,inverse(multiply(inverse(B),B))))),inverse(
% multiply(
% inverse(a2),a2)))
% -> A collapsed.
% Current number of equations to process: 118
% Current number of ordered equations: 1
% Current number of rules: 10
% New rule produced :
% [23]
% multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(a2),a2)))),
% multiply(A,inverse(B)))),inverse(multiply(inverse(B),B))) ->
% B
% Current number of equations to process: 118
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [24]
% multiply(inverse(multiply(C,inverse(B))),multiply(C,inverse(A))) <->
% multiply(inverse(multiply(inverse(inverse(A)),inverse(B))),multiply(inverse(a2),a2))
% Current number of equations to process: 127
% Current number of ordered equations: 3
% Current number of rules: 12
% New rule produced :
% [25]
% multiply(inverse(multiply(C,inverse(A))),multiply(C,inverse(B))) <->
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(A)),
% inverse(B)))
% Rule
% [9]
% multiply(inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(A),
% inverse(multiply(
% inverse(C),C)))),C)))),
% multiply(B,inverse(C))) -> A collapsed.
% Rule
% [23]
% multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(a2),a2)))),
% multiply(A,inverse(B)))),inverse(multiply(inverse(B),B))) ->
% B collapsed.
% Current number of equations to process: 129
% Current number of ordered equations: 2
% Current number of rules: 11
% New rule produced :
% [26]
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(A)),
% inverse(B))) <->
% multiply(inverse(multiply(C,inverse(A))),multiply(C,inverse(B)))
% Current number of equations to process: 129
% Current number of ordered equations: 1
% Current number of rules: 12
% Rule [24]
% multiply(inverse(multiply(C,inverse(B))),multiply(C,inverse(A))) <->
% multiply(inverse(multiply(inverse(inverse(A)),inverse(B))),multiply(
% inverse(a2),a2)) is composed into 
% [24]
% multiply(inverse(multiply(C,inverse(B))),multiply(C,inverse(A))) <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(A)))
% New rule produced :
% [27]
% multiply(inverse(multiply(inverse(inverse(A)),inverse(B))),multiply(inverse(a2),a2))
% <-> multiply(inverse(multiply(C,inverse(B))),multiply(C,inverse(A)))
% Current number of equations to process: 129
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [28]
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(multiply(
% inverse(
% multiply(
% inverse(a2),a2)),B))),
% inverse(B))) ->
% inverse(multiply(inverse(B),B))
% Current number of equations to process: 128
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [29]
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(multiply(
% inverse(
% multiply(
% inverse(B),
% inverse(
% multiply(
% inverse(a2),a2)))),C))),
% inverse(C))) -> B
% Current number of equations to process: 127
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [30]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% inverse(a2),a2))))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(C),C))))
% Current number of equations to process: 128
% Current number of ordered equations: 1
% Current number of rules: 16
% New rule produced :
% [31]
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% inverse(a2),a2))))
% Current number of equations to process: 128
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [32]
% multiply(inverse(C),C) <->
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(
% multiply(
% inverse(a2),a2))))
% Current number of equations to process: 130
% Current number of ordered equations: 1
% Current number of rules: 18
% Rule [32]
% multiply(inverse(C),C) <->
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(
% multiply(
% inverse(a2),a2)))) is composed into 
% [32] multiply(inverse(C),C) <-> multiply(inverse(a2),a2)
% New rule produced :
% [33]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(
% multiply(
% inverse(a2),a2))))
% <-> multiply(inverse(C),C)
% Current number of equations to process: 130
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [34] multiply(inverse(B),B) <-> multiply(inverse(A),A)
% Rule
% [5]
% multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,
% inverse(inverse(
% multiply(
% inverse(C),C)))))),
% inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(B),C)))),multiply(V_3,
% inverse(C)))
% collapsed.
% Rule [19] multiply(inverse(A),A) <-> multiply(inverse(a2),a2) collapsed.
% Rule
% [20]
% multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),multiply(B,
% inverse(
% multiply(
% inverse(C),C))))
% <-> multiply(inverse(A),A) collapsed.
% Rule [32] multiply(inverse(C),C) <-> multiply(inverse(a2),a2) collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% multiply(multiply(inverse(a2),a2),a2) = a2
% 
% Current number of equations to process: 130
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [35]
% multiply(inverse(B),B) <->
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(multiply(
% inverse(a2),a2))),
% inverse(multiply(inverse(A),A))))
% Current number of equations to process: 129
% Current number of ordered equations: 1
% Current number of rules: 17
% Rule [35]
% multiply(inverse(B),B) <->
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(
% multiply(
% inverse(a2),a2))),
% inverse(multiply(inverse(A),A)))) is composed into 
% [35] multiply(inverse(B),B) <-> multiply(inverse(a2),a2)
% New rule produced :
% [36]
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(multiply(
% inverse(a2),a2))),
% inverse(multiply(inverse(A),A))))
% <-> multiply(inverse(B),B)
% Current number of equations to process: 129
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [37]
% multiply(inverse(multiply(inverse(multiply(a2,inverse(multiply(inverse(A),A)))),
% multiply(a2,inverse(a2)))),inverse(multiply(inverse(a2),a2)))
% -> a2
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [38]
% multiply(inverse(multiply(a2,inverse(multiply(inverse(A),A)))),multiply(a2,
% inverse(B)))
% <->
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(multiply(
% inverse(a2),a2))),
% inverse(B)))
% Current number of equations to process: 133
% Current number of ordered equations: 1
% Current number of rules: 20
% New rule produced :
% [39]
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(multiply(
% inverse(a2),a2))),
% inverse(B))) <->
% multiply(inverse(multiply(a2,inverse(multiply(inverse(A),A)))),multiply(a2,
% inverse(B)))
% Current number of equations to process: 133
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [40]
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(multiply(
% inverse(
% multiply(
% inverse(A),
% inverse(
% multiply(
% inverse(C),C)))),C))),
% inverse(C))) -> A
% Current number of equations to process: 132
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [41]
% multiply(inverse(multiply(inverse(multiply(inverse(a2),a2)),multiply(
% inverse(inverse(
% multiply(
% inverse(a2),a2))),
% inverse(B)))),
% inverse(multiply(inverse(B),B))) -> B
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [42]
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(multiply(
% inverse(
% inverse(
% multiply(
% inverse(B),B))),B))),
% inverse(B))) ->
% multiply(inverse(multiply(inverse(a2),a2)),inverse(multiply(inverse(a2),a2)))
% Current number of equations to process: 130
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [43]
% multiply(inverse(multiply(a2,inverse(multiply(inverse(A),A)))),multiply(a2,
% inverse(
% multiply(
% inverse(B),B))))
% -> multiply(inverse(a2),a2)
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [44]
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,inverse(multiply(
% inverse(B),B))))
% <->
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(A)),
% inverse(multiply(inverse(a2),a2))))
% Current number of equations to process: 139
% Current number of ordered equations: 1
% Current number of rules: 26
% New rule produced :
% [45]
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(A)),
% inverse(multiply(inverse(a2),a2))))
% <->
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,inverse(multiply(
% inverse(B),B))))
% Current number of equations to process: 139
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [46]
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(multiply(
% inverse(A),B))),
% inverse(B))) <->
% multiply(inverse(multiply(C,inverse(multiply(inverse(A),a2)))),multiply(C,
% inverse(a2)))
% Current number of equations to process: 147
% Current number of ordered equations: 1
% Current number of rules: 28
% New rule produced :
% [47]
% multiply(inverse(multiply(C,inverse(multiply(inverse(A),a2)))),multiply(C,
% inverse(a2)))
% <->
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(multiply(
% inverse(A),B))),
% inverse(B)))
% Current number of equations to process: 147
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [48]
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(multiply(
% inverse(A),B))),
% inverse(B))) <->
% multiply(inverse(multiply(C,inverse(multiply(inverse(A),V_3)))),multiply(C,
% inverse(V_3)))
% Rule
% [46]
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(multiply(
% inverse(A),B))),
% inverse(B))) <->
% multiply(inverse(multiply(C,inverse(multiply(inverse(A),a2)))),multiply(C,
% inverse(a2)))
% collapsed.
% Current number of equations to process: 146
% Current number of ordered equations: 1
% Current number of rules: 29
% New rule produced :
% [49]
% multiply(inverse(multiply(C,inverse(multiply(inverse(A),V_3)))),multiply(C,
% inverse(V_3)))
% <->
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(multiply(
% inverse(A),B))),
% inverse(B)))
% Rule
% [47]
% multiply(inverse(multiply(C,inverse(multiply(inverse(A),a2)))),multiply(C,
% inverse(a2)))
% <->
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(multiply(
% inverse(A),B))),
% inverse(B))) collapsed.
% Current number of equations to process: 146
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [50]
% multiply(inverse(multiply(inverse(multiply(inverse(a2),a2)),multiply(
% inverse(inverse(
% multiply(
% inverse(A),B))),
% inverse(B)))),
% inverse(multiply(inverse(B),B))) -> A
% Current number of equations to process: 145
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [51]
% multiply(inverse(multiply(inverse(multiply(inverse(a2),a2)),multiply(
% inverse(inverse(
% multiply(
% inverse(A),B))),
% inverse(B)))),
% inverse(multiply(inverse(a2),a2))) -> A
% Current number of equations to process: 144
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [52]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(multiply(
% inverse(a2),a2))))
% Rule
% [31]
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% inverse(a2),a2))))
% collapsed.
% Current number of equations to process: 148
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [53]
% multiply(inverse(B),B) <->
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(A),A))
% Current number of equations to process: 167
% Current number of ordered equations: 1
% Current number of rules: 32
% Rule [53]
% multiply(inverse(B),B) <->
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(A),A)) is composed into 
% [53] multiply(inverse(B),B) <-> multiply(inverse(a2),a2)
% New rule produced :
% [54]
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(A),A)) <->
% multiply(inverse(B),B)
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [55]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(a2),a2)) ->
% multiply(inverse(a2),a2)
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [56]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% inverse(C))) <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(C)))
% Rule
% [26]
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(A)),
% inverse(B))) <->
% multiply(inverse(multiply(C,inverse(A))),multiply(C,inverse(B))) collapsed.
% Current number of equations to process: 174
% Current number of ordered equations: 3
% Current number of rules: 34
% Rule [39]
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(
% multiply(
% inverse(a2),a2))),
% inverse(B))) <->
% multiply(inverse(multiply(a2,inverse(multiply(inverse(A),A)))),multiply(a2,
% inverse(B))) is composed into 
% [39]
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(multiply(
% inverse(a2),a2))),
% inverse(B))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(B)))
% New rule produced :
% [57]
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(C))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% inverse(C)))
% Rule
% [25]
% multiply(inverse(multiply(C,inverse(A))),multiply(C,inverse(B))) <->
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(A)),
% inverse(B))) collapsed.
% Rule
% [37]
% multiply(inverse(multiply(inverse(multiply(a2,inverse(multiply(inverse(A),A)))),
% multiply(a2,inverse(a2)))),inverse(multiply(inverse(a2),a2)))
% -> a2 collapsed.
% Rule
% [38]
% multiply(inverse(multiply(a2,inverse(multiply(inverse(A),A)))),multiply(a2,
% inverse(B)))
% <->
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(multiply(
% inverse(a2),a2))),
% inverse(B))) collapsed.
% Rule
% [43]
% multiply(inverse(multiply(a2,inverse(multiply(inverse(A),A)))),multiply(a2,
% inverse(
% multiply(
% inverse(B),B))))
% -> multiply(inverse(a2),a2) collapsed.
% Current number of equations to process: 176
% Current number of ordered equations: 2
% Current number of rules: 31
% New rule produced :
% [58]
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(A))) <->
% multiply(inverse(multiply(inverse(inverse(A)),inverse(B))),multiply(inverse(C),C))
% Current number of equations to process: 176
% Current number of ordered equations: 1
% Current number of rules: 32
% Rule [58]
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(A))) <->
% multiply(inverse(multiply(inverse(inverse(A)),inverse(B))),multiply(
% inverse(C),C)) is composed into 
% [58]
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(A))) <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(A)))
% New rule produced :
% [59]
% multiply(inverse(multiply(inverse(inverse(A)),inverse(B))),multiply(inverse(C),C))
% <-> multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(A)))
% Rule
% [27]
% multiply(inverse(multiply(inverse(inverse(A)),inverse(B))),multiply(inverse(a2),a2))
% <-> multiply(inverse(multiply(C,inverse(B))),multiply(C,inverse(A)))
% collapsed.
% Current number of equations to process: 176
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [60]
% multiply(inverse(V_3),V_3) <->
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(
% multiply(
% inverse(C),C))))
% Current number of equations to process: 170
% Current number of ordered equations: 1
% Current number of rules: 33
% Rule [60]
% multiply(inverse(V_3),V_3) <->
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(
% multiply(
% inverse(C),C)))) is composed into 
% [60] multiply(inverse(V_3),V_3) <-> multiply(inverse(a2),a2)
% New rule produced :
% [61]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(
% multiply(
% inverse(C),C))))
% <-> multiply(inverse(V_3),V_3)
% Rule
% [33]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(
% multiply(
% inverse(a2),a2))))
% <-> multiply(inverse(C),C) collapsed.
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [62]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(V_3),V_3))))
% Rule
% [17]
% multiply(inverse(multiply(V_4,inverse(V_3))),multiply(V_4,inverse(multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(a2,inverse(V_3))),multiply(a2,inverse(multiply(
% inverse(C),C))))
% collapsed.
% Rule
% [30]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% inverse(a2),a2))))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(C),C))))
% collapsed.
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [63]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(multiply(inverse(B),B)))) ->
% multiply(inverse(a2),a2)
% Rule
% [36]
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(multiply(
% inverse(a2),a2))),
% inverse(multiply(inverse(A),A))))
% <-> multiply(inverse(B),B) collapsed.
% Current number of equations to process: 168
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [64]
% multiply(inverse(B),B) <->
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(multiply(inverse(a2),a2))))
% Current number of equations to process: 167
% Current number of ordered equations: 1
% Current number of rules: 33
% Rule [64]
% multiply(inverse(B),B) <->
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(
% multiply(
% inverse(A),A))),
% inverse(multiply(inverse(a2),a2)))) is composed into 
% [64] multiply(inverse(B),B) <-> multiply(inverse(a2),a2)
% New rule produced :
% [65]
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(multiply(inverse(a2),a2))))
% <-> multiply(inverse(B),B)
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [66]
% multiply(inverse(C),C) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),B))),
% inverse(multiply(inverse(a2),a2))))
% Current number of equations to process: 165
% Current number of ordered equations: 1
% Current number of rules: 35
% Rule [66]
% multiply(inverse(C),C) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(
% multiply(
% inverse(B),B))),
% inverse(multiply(inverse(a2),a2)))) is composed into 
% [66] multiply(inverse(C),C) <-> multiply(inverse(a2),a2)
% New rule produced :
% [67]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),B))),
% inverse(multiply(inverse(a2),a2))))
% <-> multiply(inverse(C),C)
% Rule
% [65]
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(multiply(inverse(a2),a2))))
% <-> multiply(inverse(B),B) collapsed.
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [68]
% multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),
% multiply(A,inverse(C)))),inverse(multiply(inverse(V_3),V_3)))
% -> B
% Rule
% [1]
% multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),
% multiply(A,inverse(C)))),inverse(multiply(inverse(C),C))) ->
% B collapsed.
% Rule
% [22]
% multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),
% multiply(A,inverse(C)))),inverse(multiply(inverse(a2),a2)))
% -> B collapsed.
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [69]
% multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),
% multiply(A,inverse(C)))),inverse(multiply(inverse(a2),a2)))
% -> C
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 35
% Rule [52]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(
% multiply(
% inverse(a2),a2)))) is composed into 
% [52]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,multiply(inverse(a2),a2)))
% Rule [49]
% multiply(inverse(multiply(C,inverse(multiply(inverse(A),V_3)))),
% multiply(C,inverse(V_3))) <->
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(
% multiply(
% inverse(A),B))),
% inverse(B))) is composed into 
% [49]
% multiply(inverse(multiply(C,inverse(multiply(inverse(A),V_3)))),multiply(C,
% inverse(V_3)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B)))
% Rule [44]
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,inverse(multiply(
% inverse(B),B))))
% <->
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(A)),
% inverse(multiply(inverse(a2),a2)))) is composed into 
% [44]
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,inverse(multiply(
% inverse(B),B))))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),multiply(
% inverse(a2),a2)))
% New rule produced :
% [70] inverse(multiply(inverse(a2),a2)) -> multiply(inverse(a2),a2)
% Rule
% [28]
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(multiply(
% inverse(
% multiply(
% inverse(a2),a2)),B))),
% inverse(B))) ->
% inverse(multiply(inverse(B),B)) collapsed.
% Rule
% [29]
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(multiply(
% inverse(
% multiply(
% inverse(B),
% inverse(
% multiply(
% inverse(a2),a2)))),C))),
% inverse(C))) -> B collapsed.
% Rule
% [39]
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(multiply(
% inverse(a2),a2))),
% inverse(B))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(B))) collapsed.
% Rule
% [40]
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(multiply(
% inverse(
% multiply(
% inverse(A),
% inverse(
% multiply(
% inverse(C),C)))),C))),
% inverse(C))) -> A collapsed.
% Rule
% [41]
% multiply(inverse(multiply(inverse(multiply(inverse(a2),a2)),multiply(
% inverse(inverse(
% multiply(
% inverse(a2),a2))),
% inverse(B)))),
% inverse(multiply(inverse(B),B))) -> B collapsed.
% Rule
% [42]
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(multiply(
% inverse(
% inverse(
% multiply(
% inverse(B),B))),B))),
% inverse(B))) ->
% multiply(inverse(multiply(inverse(a2),a2)),inverse(multiply(inverse(a2),a2)))
% collapsed.
% Rule
% [45]
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(A)),
% inverse(multiply(inverse(a2),a2))))
% <->
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,inverse(multiply(
% inverse(B),B))))
% collapsed.
% Rule
% [48]
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(multiply(
% inverse(A),B))),
% inverse(B))) <->
% multiply(inverse(multiply(C,inverse(multiply(inverse(A),V_3)))),multiply(C,
% inverse(V_3)))
% collapsed.
% Rule
% [50]
% multiply(inverse(multiply(inverse(multiply(inverse(a2),a2)),multiply(
% inverse(inverse(
% multiply(
% inverse(A),B))),
% inverse(B)))),
% inverse(multiply(inverse(B),B))) -> A collapsed.
% Rule
% [51]
% multiply(inverse(multiply(inverse(multiply(inverse(a2),a2)),multiply(
% inverse(inverse(
% multiply(
% inverse(A),B))),
% inverse(B)))),
% inverse(multiply(inverse(a2),a2))) -> A collapsed.
% Rule
% [54]
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(A),A)) <->
% multiply(inverse(B),B) collapsed.
% Rule
% [67]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),B))),
% inverse(multiply(inverse(a2),a2))))
% <-> multiply(inverse(C),C) collapsed.
% Rule
% [69]
% multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),
% multiply(A,inverse(C)))),inverse(multiply(inverse(a2),a2)))
% -> C collapsed.
% Current number of equations to process: 172
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [71]
% multiply(inverse(B),B) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(A),A))
% Current number of equations to process: 171
% Current number of ordered equations: 1
% Current number of rules: 24
% Rule [71]
% multiply(inverse(B),B) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(A),A)) is composed into 
% [71] multiply(inverse(B),B) <-> multiply(inverse(a2),a2)
% New rule produced :
% [72]
% multiply(multiply(inverse(a2),a2),multiply(inverse(A),A)) <->
% multiply(inverse(B),B)
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [73]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(multiply(
% inverse(a2),a2),B))),
% inverse(B))) ->
% inverse(multiply(inverse(B),B))
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [74]
% multiply(inverse(C),C) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),B))),
% multiply(inverse(a2),a2)))
% Current number of equations to process: 169
% Current number of ordered equations: 1
% Current number of rules: 27
% Rule [74]
% multiply(inverse(C),C) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(
% multiply(
% inverse(B),B))),
% multiply(inverse(a2),a2))) is composed into 
% [74] multiply(inverse(C),C) <-> multiply(inverse(a2),a2)
% New rule produced :
% [75]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),B))),
% multiply(inverse(a2),a2))) <->
% multiply(inverse(C),C)
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [76]
% multiply(inverse(multiply(multiply(inverse(a2),a2),multiply(multiply(
% inverse(a2),a2),
% inverse(B)))),inverse(
% multiply(
% inverse(B),B)))
% -> B
% Current number of equations to process: 168
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [77]
% multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),
% multiply(A,inverse(C)))),multiply(inverse(a2),a2)) -> C
% Current number of equations to process: 166
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [78]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(
% multiply(
% inverse(B),
% multiply(
% inverse(a2),a2))),C))),
% inverse(C))) -> B
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [79]
% multiply(inverse(multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(
% multiply(
% inverse(A),B))),
% inverse(B)))),multiply(
% inverse(a2),a2))
% -> A
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [80]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(
% multiply(
% inverse(A),A)),B))),
% inverse(B))) -> multiply(inverse(a2),a2)
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [81]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(B))) <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(B)))
% Current number of equations to process: 161
% Current number of ordered equations: 1
% Current number of rules: 34
% New rule produced :
% [82]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(B)))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(B)))
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [83]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(
% multiply(
% inverse(A),
% inverse(
% multiply(
% inverse(C),C)))),C))),
% inverse(C))) -> A
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [84]
% multiply(inverse(multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(
% multiply(
% inverse(A),B))),
% inverse(B)))),inverse(
% multiply(
% inverse(B),B)))
% -> A
% Current number of equations to process: 159
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [85]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% multiply(inverse(a2),a2))) <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(C),C))))
% Current number of equations to process: 155
% Current number of ordered equations: 3
% Current number of rules: 38
% New rule produced :
% [86]
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% multiply(inverse(a2),a2)))
% Current number of equations to process: 155
% Current number of ordered equations: 2
% Current number of rules: 39
% New rule produced :
% [87]
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,inverse(multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(multiply(inverse(a2),a2),inverse(A))),multiply(
% inverse(B),B))
% Current number of equations to process: 155
% Current number of ordered equations: 1
% Current number of rules: 40
% Rule [87]
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,inverse(multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(multiply(inverse(a2),a2),inverse(A))),
% multiply(inverse(B),B)) is composed into [87]
% multiply(inverse(multiply(a2,
% inverse(A))),
% multiply(a2,inverse(multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(a2,
% inverse(A))),
% multiply(a2,inverse(multiply(
% inverse(a2),a2))))
% New rule produced :
% [88]
% multiply(inverse(multiply(multiply(inverse(a2),a2),inverse(A))),multiply(
% inverse(B),B))
% <->
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,inverse(multiply(
% inverse(C),C))))
% Current number of equations to process: 155
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [89]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(
% inverse(
% multiply(
% inverse(B),B))),B))),
% inverse(B))) -> multiply(inverse(a2),a2)
% Current number of equations to process: 154
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [90]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(
% inverse(
% multiply(
% inverse(A),A))),
% inverse(a2)))),
% multiply(inverse(a2),a2)) -> a2
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [91]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(
% multiply(
% inverse(B),
% multiply(
% inverse(a2),a2))),C))),
% inverse(C))) -> B
% Current number of equations to process: 151
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced :
% [92]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(
% multiply(
% inverse(A),
% inverse(
% multiply(
% inverse(B),B)))),C))),
% inverse(C))) -> A
% Rule
% [83]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(
% multiply(
% inverse(A),
% inverse(
% multiply(
% inverse(C),C)))),C))),
% inverse(C))) -> A collapsed.
% Current number of equations to process: 151
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [93]
% multiply(inverse(multiply(multiply(inverse(a2),a2),multiply(multiply(
% inverse(a2),a2),
% inverse(A)))),multiply(
% inverse(a2),a2))
% -> A
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [94]
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,multiply(inverse(a2),a2)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),multiply(
% inverse(a2),a2)))
% Current number of equations to process: 153
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced :
% [95]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),multiply(
% inverse(a2),a2)))
% <->
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,multiply(inverse(a2),a2)))
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [96]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% inverse(C),C))))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(B)),multiply(
% inverse(a2),a2)))
% Rule
% [44]
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,inverse(multiply(
% inverse(B),B))))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),multiply(
% inverse(a2),a2)))
% collapsed.
% Current number of equations to process: 152
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [97]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(C),V_3))),
% inverse(V_3))) <->
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(C)))
% Rule
% [78]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(
% multiply(
% inverse(B),
% multiply(
% inverse(a2),a2))),C))),
% inverse(C))) -> B collapsed.
% Rule
% [80]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(
% multiply(
% inverse(A),A)),B))),
% inverse(B))) -> multiply(inverse(a2),a2)
% collapsed.
% Rule
% [89]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(
% inverse(
% multiply(
% inverse(B),B))),B))),
% inverse(B))) -> multiply(inverse(a2),a2)
% collapsed.
% Rule
% [92]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(
% multiply(
% inverse(A),
% inverse(
% multiply(
% inverse(B),B)))),C))),
% inverse(C))) -> A collapsed.
% Current number of equations to process: 165
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced :
% [98]
% multiply(inverse(multiply(a2,multiply(inverse(a2),a2))),multiply(a2,inverse(
% multiply(
% inverse(A),A))))
% -> multiply(inverse(a2),a2)
% Current number of equations to process: 164
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced :
% [99]
% multiply(inverse(multiply(a2,multiply(inverse(a2),a2))),multiply(a2,inverse(
% inverse(
% multiply(
% inverse(B),B)))))
% -> multiply(inverse(a2),a2)
% Current number of equations to process: 163
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced :
% [100]
% multiply(inverse(multiply(a2,multiply(inverse(a2),a2))),multiply(a2,inverse(
% multiply(
% inverse(B),
% multiply(
% inverse(a2),a2)))))
% -> B
% Current number of equations to process: 162
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced :
% [101]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(
% multiply(
% inverse(A),
% inverse(
% multiply(
% inverse(B),B))))))
% -> A
% Current number of equations to process: 161
% Current number of ordered equations: 1
% Current number of rules: 48
% New rule produced :
% [102]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(C)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(C),V_3))),
% inverse(V_3)))
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [103]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(inverse(multiply(A,multiply(inverse(a2),a2))),multiply(A,inverse(B)))
% Current number of equations to process: 161
% Current number of ordered equations: 1
% Current number of rules: 50
% New rule produced :
% [104]
% multiply(inverse(multiply(A,multiply(inverse(a2),a2))),multiply(A,inverse(B)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C)))
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [105]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(a2),a2)))
% <->
% multiply(inverse(multiply(C,inverse(B))),multiply(C,multiply(inverse(a2),a2)))
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [106]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),C))),
% inverse(C))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(B),V_3))),
% inverse(V_3)))
% Current number of equations to process: 161
% Current number of ordered equations: 1
% Current number of rules: 53
% New rule produced :
% [107]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(B),V_3))),
% inverse(V_3))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),C))),
% inverse(C)))
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [108]
% multiply(inverse(A),A) <->
% multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),multiply(B,
% multiply(
% inverse(a2),a2)))
% Current number of equations to process: 164
% Current number of ordered equations: 1
% Current number of rules: 55
% Rule [108]
% multiply(inverse(A),A) <->
% multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),multiply(B,
% multiply(
% inverse(a2),a2))) is composed into 
% [108] multiply(inverse(A),A) <-> multiply(inverse(a2),a2)
% New rule produced :
% [109]
% multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),multiply(B,
% multiply(
% inverse(a2),a2)))
% <-> multiply(inverse(A),A)
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [110]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),B)) ->
% multiply(inverse(a2),a2)
% Rule
% [55]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(a2),a2)) ->
% multiply(inverse(a2),a2) collapsed.
% Current number of equations to process: 166
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [111]
% multiply(inverse(multiply(C,inverse(A))),multiply(C,inverse(B))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),inverse(B)))
% Current number of equations to process: 166
% Current number of ordered equations: 1
% Current number of rules: 57
% New rule produced :
% [112]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),inverse(B)))
% <-> multiply(inverse(multiply(C,inverse(A))),multiply(C,inverse(B)))
% Current number of equations to process: 166
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [113]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% inverse(multiply(inverse(C),C))))
% <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,multiply(inverse(a2),a2)))
% Current number of equations to process: 165
% Current number of ordered equations: 1
% Current number of rules: 59
% New rule produced :
% [114]
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,multiply(inverse(a2),a2)))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% inverse(multiply(inverse(C),C))))
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [115]
% multiply(inverse(C),C) <->
% multiply(inverse(multiply(A,multiply(inverse(a2),a2))),multiply(A,inverse(
% multiply(
% inverse(B),B))))
% Current number of equations to process: 171
% Current number of ordered equations: 1
% Current number of rules: 61
% Rule [115]
% multiply(inverse(C),C) <->
% multiply(inverse(multiply(A,multiply(inverse(a2),a2))),multiply(A,
% inverse(multiply(
% inverse(B),B)))) is composed into 
% [115] multiply(inverse(C),C) <-> multiply(inverse(a2),a2)
% New rule produced :
% [116]
% multiply(inverse(multiply(A,multiply(inverse(a2),a2))),multiply(A,inverse(
% multiply(
% inverse(B),B))))
% <-> multiply(inverse(C),C)
% Rule
% [98]
% multiply(inverse(multiply(a2,multiply(inverse(a2),a2))),multiply(a2,inverse(
% multiply(
% inverse(A),A))))
% -> multiply(inverse(a2),a2) collapsed.
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [117]
% multiply(inverse(V_3),V_3) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),B))),
% inverse(multiply(inverse(C),C))))
% Current number of equations to process: 172
% Current number of ordered equations: 1
% Current number of rules: 62
% Rule [117]
% multiply(inverse(V_3),V_3) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(
% multiply(
% inverse(B),B))),
% inverse(multiply(inverse(C),C)))) is composed into 
% [117] multiply(inverse(V_3),V_3) <-> multiply(inverse(a2),a2)
% New rule produced :
% [118]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),B))),
% inverse(multiply(inverse(C),C))))
% <-> multiply(inverse(V_3),V_3)
% Rule
% [63]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(multiply(inverse(B),B)))) ->
% multiply(inverse(a2),a2) collapsed.
% Current number of equations to process: 172
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [119]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% inverse(multiply(inverse(C),C))))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(V_3),V_3))))
% Current number of equations to process: 176
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [120]
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(V_3),V_3))))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% inverse(multiply(inverse(C),C))))
% Current number of equations to process: 176
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [121]
% multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),
% multiply(A,inverse(C)))),multiply(inverse(a2),a2)) -> B
% Current number of equations to process: 177
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced :
% [122]
% multiply(inverse(multiply(inverse(multiply(A,multiply(inverse(a2),a2))),
% multiply(A,inverse(B)))),inverse(multiply(inverse(C),C))) ->
% B
% Current number of equations to process: 177
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [123]
% multiply(inverse(multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(
% multiply(
% inverse(A),B))),
% inverse(B)))),inverse(
% multiply(
% inverse(C),C)))
% -> A
% Rule
% [84]
% multiply(inverse(multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(
% multiply(
% inverse(A),B))),
% inverse(B)))),inverse(
% multiply(
% inverse(B),B)))
% -> A collapsed.
% Current number of equations to process: 176
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [124]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(B))) <->
% multiply(inverse(multiply(C,inverse(multiply(inverse(V_3),V_3)))),multiply(C,
% inverse(B)))
% Current number of equations to process: 181
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced :
% [125]
% multiply(inverse(multiply(C,inverse(multiply(inverse(V_3),V_3)))),multiply(C,
% inverse(B)))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(B)))
% Current number of equations to process: 181
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [126]
% multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),
% multiply(A,inverse(C)))),inverse(multiply(inverse(V_3),V_3)))
% -> C
% Current number of equations to process: 180
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [127]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(a2)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(a2),A))),
% inverse(A)))
% Current number of equations to process: 188
% Current number of ordered equations: 1
% Current number of rules: 70
% New rule produced :
% [128]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(a2),A))),
% inverse(A))) <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(a2)))
% Current number of equations to process: 188
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [129]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(
% inverse(
% multiply(
% inverse(B),C))),
% inverse(C)))),
% inverse(multiply(inverse(V_3),V_3))) -> B
% Current number of equations to process: 186
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [130]
% multiply(inverse(multiply(A,multiply(inverse(a2),a2))),multiply(A,inverse(B)))
% <->
% multiply(inverse(multiply(a2,multiply(inverse(a2),a2))),multiply(a2,inverse(B)))
% Current number of equations to process: 186
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [131]
% multiply(inverse(multiply(a2,multiply(inverse(a2),a2))),multiply(a2,inverse(B)))
% <->
% multiply(inverse(multiply(A,multiply(inverse(a2),a2))),multiply(A,inverse(B)))
% Current number of equations to process: 186
% Current number of ordered equations: 0
% Current number of rules: 74
% Rule [87]
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,inverse(multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,inverse(multiply(
% inverse(a2),a2)))) is composed into 
% [87]
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,inverse(multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,multiply(inverse(a2),a2)))
% New rule produced :
% [132] inverse(multiply(inverse(A),A)) <-> multiply(inverse(a2),a2)
% Rule [70] inverse(multiply(inverse(a2),a2)) -> multiply(inverse(a2),a2)
% collapsed.
% Current number of equations to process: 187
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [133]
% multiply(inverse(multiply(A,multiply(inverse(a2),a2))),multiply(A,inverse(B)))
% <->
% multiply(inverse(multiply(C,multiply(inverse(a2),a2))),multiply(C,inverse(B)))
% Rule
% [130]
% multiply(inverse(multiply(A,multiply(inverse(a2),a2))),multiply(A,inverse(B)))
% <->
% multiply(inverse(multiply(a2,multiply(inverse(a2),a2))),multiply(a2,inverse(B)))
% collapsed.
% Rule
% [131]
% multiply(inverse(multiply(a2,multiply(inverse(a2),a2))),multiply(a2,inverse(B)))
% <->
% multiply(inverse(multiply(A,multiply(inverse(a2),a2))),multiply(A,inverse(B)))
% collapsed.
% Current number of equations to process: 186
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [134]
% multiply(inverse(C),C) <->
% multiply(multiply(inverse(A),A),multiply(inverse(B),B))
% Current number of equations to process: 188
% Current number of ordered equations: 1
% Current number of rules: 74
% Rule [134]
% multiply(inverse(C),C) <->
% multiply(multiply(inverse(A),A),multiply(inverse(B),B)) is composed into 
% [134] multiply(inverse(C),C) <-> multiply(inverse(a2),a2)
% New rule produced :
% [135]
% multiply(multiply(inverse(A),A),multiply(inverse(B),B)) <->
% multiply(inverse(C),C)
% Rule
% [72]
% multiply(multiply(inverse(a2),a2),multiply(inverse(A),A)) <->
% multiply(inverse(B),B) collapsed.
% Current number of equations to process: 188
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [136]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(multiply(
% inverse(a2),a2),B))),
% inverse(B))) ->
% inverse(multiply(inverse(B),B))
% Rule
% [73]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(multiply(
% inverse(a2),a2),B))),
% inverse(B))) ->
% inverse(multiply(inverse(B),B)) collapsed.
% Current number of equations to process: 187
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [137]
% multiply(inverse(B),B) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),A))),
% multiply(inverse(a2),a2)))
% Current number of equations to process: 187
% Current number of ordered equations: 1
% Current number of rules: 75
% Rule [137]
% multiply(inverse(B),B) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% multiply(inverse(a2),a2))) is composed into 
% [137] multiply(inverse(B),B) <-> multiply(inverse(a2),a2)
% New rule produced :
% [138]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),A))),
% multiply(inverse(a2),a2))) <->
% multiply(inverse(B),B)
% Current number of equations to process: 187
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [139]
% multiply(inverse(V_3),V_3) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),B))),
% multiply(inverse(C),C)))
% Current number of equations to process: 188
% Current number of ordered equations: 1
% Current number of rules: 77
% Rule [139]
% multiply(inverse(V_3),V_3) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(
% multiply(
% inverse(B),B))),
% multiply(inverse(C),C))) is composed into 
% [139] multiply(inverse(V_3),V_3) <-> multiply(inverse(a2),a2)
% New rule produced :
% [140]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),B))),
% multiply(inverse(C),C))) <->
% multiply(inverse(V_3),V_3)
% Rule
% [75]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),B))),
% multiply(inverse(a2),a2))) <->
% multiply(inverse(C),C) collapsed.
% Current number of equations to process: 188
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [141]
% multiply(inverse(multiply(multiply(inverse(a2),a2),multiply(multiply(
% inverse(a2),a2),
% inverse(A)))),inverse(
% multiply(
% inverse(B),B)))
% -> A
% Rule
% [76]
% multiply(inverse(multiply(multiply(inverse(a2),a2),multiply(multiply(
% inverse(a2),a2),
% inverse(B)))),inverse(
% multiply(
% inverse(B),B)))
% -> B collapsed.
% Current number of equations to process: 204
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [142]
% multiply(inverse(multiply(inverse(multiply(A,multiply(inverse(a2),a2))),
% multiply(A,inverse(B)))),multiply(inverse(a2),a2)) -> B
% Current number of equations to process: 205
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [143]
% multiply(inverse(multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(
% multiply(
% inverse(A),A))),
% inverse(B)))),multiply(
% inverse(a2),a2))
% -> B
% Current number of equations to process: 205
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [144]
% multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),
% multiply(A,inverse(C)))),multiply(inverse(V_3),V_3)) -> C
% Rule
% [77]
% multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),
% multiply(A,inverse(C)))),multiply(inverse(a2),a2)) -> C
% collapsed.
% Current number of equations to process: 208
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [145]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(
% inverse(
% multiply(
% inverse(A),A))),
% inverse(B)))),
% multiply(inverse(a2),a2)) -> B
% Rule
% [90]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(
% inverse(
% multiply(
% inverse(A),A))),
% inverse(a2)))),
% multiply(inverse(a2),a2)) -> a2 collapsed.
% Current number of equations to process: 210
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [146]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(
% inverse(
% multiply(
% inverse(B),B))),
% inverse(C)))),
% multiply(inverse(a2),a2)) -> C
% Rule
% [145]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(
% inverse(
% multiply(
% inverse(A),A))),
% inverse(B)))),
% multiply(inverse(a2),a2)) -> B collapsed.
% Current number of equations to process: 209
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [147]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(
% multiply(
% inverse(A),A))))
% -> multiply(inverse(a2),a2)
% Current number of equations to process: 222
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [148]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(B))) <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(B)))
% Current number of equations to process: 221
% Current number of ordered equations: 1
% Current number of rules: 81
% New rule produced :
% [149]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(B)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(B)))
% Current number of equations to process: 221
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [150]
% multiply(inverse(multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(
% multiply(
% inverse(A),B))),
% inverse(B)))),multiply(
% inverse(C),C))
% -> A
% Rule
% [79]
% multiply(inverse(multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(
% multiply(
% inverse(A),B))),
% inverse(B)))),multiply(
% inverse(a2),a2))
% -> A collapsed.
% Current number of equations to process: 219
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [151]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(C)))
% <->
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(C)))
% Current number of equations to process: 221
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [152]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(C)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(C)))
% Current number of equations to process: 221
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [153]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),B))),
% inverse(C))) <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(C)))
% Rule
% [81]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(B))) <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(B)))
% collapsed.
% Current number of equations to process: 220
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [154]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(C),C))),
% inverse(B))) <->
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(a2),a2),inverse(B)))
% Current number of equations to process: 220
% Current number of ordered equations: 3
% Current number of rules: 85
% New rule produced :
% [155]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(C),C))),
% inverse(B))) <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(A),A),inverse(B)))
% Current number of equations to process: 220
% Current number of ordered equations: 2
% Current number of rules: 86
% New rule produced :
% [156]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(a2),a2),inverse(B)))
% <->
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(C),C))),
% inverse(B)))
% Rule
% [82]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(B)))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(B))) collapsed.
% Current number of equations to process: 220
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [157]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% multiply(inverse(C),C))) <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(V_3),V_3))))
% Rule
% [85]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% multiply(inverse(a2),a2))) <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(C),C))))
% collapsed.
% Current number of equations to process: 221
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [158]
% multiply(inverse(multiply(inverse(B),B)),multiply(inverse(inverse(A)),
% multiply(inverse(a2),a2))) <->
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,multiply(inverse(a2),a2)))
% Current number of equations to process: 221
% Current number of ordered equations: 1
% Current number of rules: 87
% New rule produced :
% [159]
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,multiply(inverse(a2),a2)))
% <->
% multiply(inverse(multiply(inverse(B),B)),multiply(inverse(inverse(A)),
% multiply(inverse(a2),a2)))
% Current number of equations to process: 221
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [160]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(B)),
% multiply(inverse(a2),a2))) <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(a2),a2)))
% Rule
% [158]
% multiply(inverse(multiply(inverse(B),B)),multiply(inverse(inverse(A)),
% multiply(inverse(a2),a2))) <->
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,multiply(inverse(a2),a2)))
% collapsed.
% Current number of equations to process: 227
% Current number of ordered equations: 1
% Current number of rules: 88
% New rule produced :
% [161]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(a2),a2)))
% <->
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(B)),
% multiply(inverse(a2),a2)))
% Rule
% [109]
% multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),multiply(B,
% multiply(
% inverse(a2),a2)))
% <-> multiply(inverse(A),A) collapsed.
% Rule
% [159]
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,multiply(inverse(a2),a2)))
% <->
% multiply(inverse(multiply(inverse(B),B)),multiply(inverse(inverse(A)),
% multiply(inverse(a2),a2)))
% collapsed.
% Current number of equations to process: 227
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [162]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(B)),
% multiply(inverse(a2),a2)))
% Rule
% [86]
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% multiply(inverse(a2),a2)))
% collapsed.
% Current number of equations to process: 226
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [163]
% multiply(inverse(multiply(a2,inverse(multiply(inverse(A),A)))),multiply(a2,
% multiply(
% inverse(a2),a2)))
% -> multiply(inverse(a2),a2)
% Current number of equations to process: 226
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [164]
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(V_3),V_3))))
% <->
% multiply(inverse(multiply(multiply(inverse(A),A),inverse(B))),multiply(
% inverse(C),C))
% Current number of equations to process: 232
% Current number of ordered equations: 1
% Current number of rules: 89
% Rule [164]
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(V_3),V_3))))
% <->
% multiply(inverse(multiply(multiply(inverse(A),A),inverse(B))),multiply(
% inverse(C),C)) is composed into 
% [164]
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(V_3),V_3))))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(a2),a2))))
% New rule produced :
% [165]
% multiply(inverse(multiply(multiply(inverse(A),A),inverse(B))),multiply(
% inverse(C),C))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(V_3),V_3))))
% Rule
% [88]
% multiply(inverse(multiply(multiply(inverse(a2),a2),inverse(A))),multiply(
% inverse(B),B))
% <->
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,inverse(multiply(
% inverse(C),C))))
% collapsed.
% Current number of equations to process: 233
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [166]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(a2),a2),
% inverse(multiply(inverse(B),
% multiply(inverse(a2),a2)))))
% -> B
% Current number of equations to process: 232
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [167]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(
% multiply(
% inverse(B),
% multiply(
% inverse(C),C))),V_3))),
% inverse(V_3))) -> B
% Rule
% [91]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(
% multiply(
% inverse(B),
% multiply(
% inverse(a2),a2))),C))),
% inverse(C))) -> B collapsed.
% Current number of equations to process: 230
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [168]
% multiply(inverse(multiply(multiply(inverse(a2),a2),multiply(multiply(
% inverse(a2),a2),
% inverse(A)))),multiply(
% inverse(B),B))
% -> A
% Rule
% [93]
% multiply(inverse(multiply(multiply(inverse(a2),a2),multiply(multiply(
% inverse(a2),a2),
% inverse(A)))),multiply(
% inverse(a2),a2))
% -> A collapsed.
% Current number of equations to process: 231
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [169]
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,multiply(inverse(B),B)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),multiply(
% inverse(a2),a2)))
% Rule
% [94]
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,multiply(inverse(a2),a2)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),multiply(
% inverse(a2),a2)))
% collapsed.
% Current number of equations to process: 232
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [170]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),multiply(
% inverse(a2),a2)))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,multiply(inverse(a2),a2)))
% Rule
% [95]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),multiply(
% inverse(a2),a2)))
% <->
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,multiply(inverse(a2),a2)))
% collapsed.
% Current number of equations to process: 232
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [171]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(a2),a2)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(B)),multiply(
% inverse(a2),a2)))
% Current number of equations to process: 235
% Current number of ordered equations: 1
% Current number of rules: 91
% New rule produced :
% [172]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(B)),multiply(
% inverse(a2),a2)))
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(a2),a2)))
% Current number of equations to process: 235
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [173]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(V_4),V_4)))),multiply(V_3,
% inverse(B)))
% Rule
% [97]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(C),V_3))),
% inverse(V_3))) <->
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(C)))
% collapsed.
% Current number of equations to process: 250
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [174]
% multiply(inverse(multiply(a2,multiply(inverse(A),A))),multiply(a2,inverse(
% inverse(
% multiply(
% inverse(B),B)))))
% -> multiply(inverse(a2),a2)
% Rule
% [99]
% multiply(inverse(multiply(a2,multiply(inverse(a2),a2))),multiply(a2,inverse(
% inverse(
% multiply(
% inverse(B),B)))))
% -> multiply(inverse(a2),a2) collapsed.
% Current number of equations to process: 251
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [175]
% multiply(inverse(multiply(a2,multiply(inverse(a2),a2))),multiply(a2,inverse(
% multiply(
% inverse(A),
% multiply(
% inverse(B),B)))))
% -> A
% Rule
% [100]
% multiply(inverse(multiply(a2,multiply(inverse(a2),a2))),multiply(a2,inverse(
% multiply(
% inverse(B),
% multiply(
% inverse(a2),a2)))))
% -> B collapsed.
% Current number of equations to process: 252
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [176]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(B))) <->
% multiply(inverse(multiply(C,inverse(multiply(inverse(B),V_3)))),multiply(C,
% inverse(V_3)))
% Current number of equations to process: 253
% Current number of ordered equations: 1
% Current number of rules: 93
% New rule produced :
% [177]
% multiply(inverse(multiply(C,inverse(multiply(inverse(B),V_3)))),multiply(C,
% inverse(V_3)))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(B)))
% Current number of equations to process: 253
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [178]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(
% multiply(
% inverse(A),
% multiply(
% inverse(a2),a2)))))
% -> A
% Current number of equations to process: 255
% Current number of ordered equations: 2
% Current number of rules: 95
% New rule produced :
% [179]
% multiply(inverse(multiply(A,multiply(inverse(a2),a2))),multiply(A,inverse(
% multiply(
% inverse(A),
% inverse(
% multiply(
% inverse(B),B))))))
% -> A
% Current number of equations to process: 255
% Current number of ordered equations: 1
% Current number of rules: 96
% New rule produced :
% [180]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(
% inverse(A),A)))),
% multiply(inverse(a2),a2)) -> inverse(multiply(inverse(A),A))
% Current number of equations to process: 255
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [181]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(
% multiply(
% inverse(C),
% inverse(
% multiply(
% inverse(B),B))))))
% -> C
% Rule
% [101]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(
% multiply(
% inverse(A),
% inverse(
% multiply(
% inverse(B),B))))))
% -> A collapsed.
% Current number of equations to process: 259
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [182]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(
% multiply(
% inverse(A),
% inverse(
% multiply(
% inverse(C),C))))))
% -> A
% Current number of equations to process: 258
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [183]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),C))),
% inverse(C))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B)))
% Current number of equations to process: 260
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [184]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(B)))
% Current number of equations to process: 259
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [185]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(B))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C)))
% Current number of equations to process: 259
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [186]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(multiply(inverse(B),
% inverse(multiply(inverse(A),A))))))
% -> B
% Current number of equations to process: 258
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [187]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),B))),
% inverse(multiply(inverse(C),
% inverse(multiply(inverse(B),B))))))
% -> C
% Rule
% [186]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(multiply(inverse(B),
% inverse(multiply(inverse(A),A))))))
% -> B collapsed.
% Current number of equations to process: 257
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [188]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% multiply(
% inverse(a2),a2)))
% -> multiply(inverse(a2),a2)
% Rule
% [163]
% multiply(inverse(multiply(a2,inverse(multiply(inverse(A),A)))),multiply(a2,
% multiply(
% inverse(a2),a2)))
% -> multiply(inverse(a2),a2) collapsed.
% Current number of equations to process: 258
% Current number of ordered equations: 0
% Current number of rules: 102
% Rule [103]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(
% inverse(B),C))),
% inverse(C))) <->
% multiply(inverse(multiply(A,multiply(inverse(a2),a2))),multiply(A,
% inverse(B))) is composed into 
% [103]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(B)))
% New rule produced :
% [189]
% multiply(inverse(multiply(B,multiply(inverse(a2),a2))),multiply(B,inverse(A)))
% ->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(A)))
% Rule
% [104]
% multiply(inverse(multiply(A,multiply(inverse(a2),a2))),multiply(A,inverse(B)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) collapsed.
% Rule
% [116]
% multiply(inverse(multiply(A,multiply(inverse(a2),a2))),multiply(A,inverse(
% multiply(
% inverse(B),B))))
% <-> multiply(inverse(C),C) collapsed.
% Rule
% [122]
% multiply(inverse(multiply(inverse(multiply(A,multiply(inverse(a2),a2))),
% multiply(A,inverse(B)))),inverse(multiply(inverse(C),C))) ->
% B collapsed.
% Rule
% [133]
% multiply(inverse(multiply(A,multiply(inverse(a2),a2))),multiply(A,inverse(B)))
% <->
% multiply(inverse(multiply(C,multiply(inverse(a2),a2))),multiply(C,inverse(B)))
% collapsed.
% Rule
% [142]
% multiply(inverse(multiply(inverse(multiply(A,multiply(inverse(a2),a2))),
% multiply(A,inverse(B)))),multiply(inverse(a2),a2)) -> B
% collapsed.
% Rule
% [175]
% multiply(inverse(multiply(a2,multiply(inverse(a2),a2))),multiply(a2,inverse(
% multiply(
% inverse(A),
% multiply(
% inverse(B),B)))))
% -> A collapsed.
% Rule
% [179]
% multiply(inverse(multiply(A,multiply(inverse(a2),a2))),multiply(A,inverse(
% multiply(
% inverse(A),
% inverse(
% multiply(
% inverse(B),B))))))
% -> A collapsed.
% Current number of equations to process: 265
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [190]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(
% multiply(
% inverse(A),
% multiply(
% inverse(B),B)))))
% -> A
% Current number of equations to process: 264
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [191]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(
% multiply(
% inverse(A),
% inverse(
% multiply(
% inverse(B),B))))))
% -> A
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [192]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(B))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C)))
% Current number of equations to process: 261
% Current number of ordered equations: 1
% Current number of rules: 99
% New rule produced :
% [193]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(B)))
% Current number of equations to process: 261
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [194]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),B))),
% inverse(C))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(C),V_3))),
% inverse(V_3)))
% Rule
% [192]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(B))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) collapsed.
% Current number of equations to process: 260
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [195]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(C),V_3))),
% inverse(V_3))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),B))),
% inverse(C)))
% Rule
% [193]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(B))) collapsed.
% Current number of equations to process: 260
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [196]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(B)))
% Rule
% [103]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(B)))
% collapsed.
% Rule
% [128]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(a2),A))),
% inverse(A))) <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(a2)))
% collapsed.
% Current number of equations to process: 270
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [197]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(C),C)))
% <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,multiply(inverse(a2),a2)))
% Rule
% [105]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(a2),a2)))
% <->
% multiply(inverse(multiply(C,inverse(B))),multiply(C,multiply(inverse(a2),a2)))
% collapsed.
% Current number of equations to process: 271
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [198]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(a2),a2),
% inverse(B))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C)))
% Current number of equations to process: 274
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [199]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(a2),a2),
% inverse(B)))
% Current number of equations to process: 274
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [200]
% multiply(inverse(multiply(inverse(B),B)),multiply(inverse(inverse(multiply(
% inverse(A),C))),
% inverse(C))) <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(A)))
% Rule
% [167]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(
% multiply(
% inverse(B),
% multiply(
% inverse(C),C))),V_3))),
% inverse(V_3))) -> B collapsed.
% Current number of equations to process: 291
% Current number of ordered equations: 1
% Current number of rules: 101
% New rule produced :
% [201]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(A)))
% <->
% multiply(inverse(multiply(inverse(B),B)),multiply(inverse(inverse(multiply(
% inverse(A),C))),
% inverse(C)))
% Current number of equations to process: 291
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [202]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(a2),a2),
% inverse(multiply(inverse(B),B)))) ->
% multiply(inverse(a2),a2)
% Current number of equations to process: 304
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [203]
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,inverse(multiply(
% inverse(B),B))))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),inverse(
% multiply(
% inverse(C),C))))
% Current number of equations to process: 304
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [204]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),inverse(
% multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,inverse(multiply(
% inverse(B),B))))
% Current number of equations to process: 304
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [205]
% multiply(inverse(A),A) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(B),B))),
% inverse(multiply(inverse(C),C))))
% Current number of equations to process: 310
% Current number of ordered equations: 1
% Current number of rules: 106
% Rule [205]
% multiply(inverse(A),A) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(
% inverse(B),B))),
% inverse(multiply(inverse(C),C)))) is composed into 
% [205] multiply(inverse(A),A) <-> multiply(inverse(a2),a2)
% New rule produced :
% [206]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(B),B))),
% inverse(multiply(inverse(C),C)))) <->
% multiply(inverse(A),A)
% Current number of equations to process: 310
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [207]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(a2),a2)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(B)),inverse(
% multiply(
% inverse(C),C))))
% Current number of equations to process: 309
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced :
% [208]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(B)),inverse(
% multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(a2),a2)))
% Current number of equations to process: 309
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [209]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),inverse(C))) <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(C)))
% Rule
% [112]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),inverse(B)))
% <-> multiply(inverse(multiply(C,inverse(A))),multiply(C,inverse(B)))
% collapsed.
% Current number of equations to process: 307
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [210]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(B),V_3))),
% inverse(V_3))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(B)))
% Current number of equations to process: 306
% Current number of ordered equations: 3
% Current number of rules: 110
% New rule produced :
% [211]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(B),V_4))),
% inverse(V_4)))
% Rule
% [107]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(B),V_3))),
% inverse(V_3))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),C))),
% inverse(C))) collapsed.
% Current number of equations to process: 306
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [212]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(C),C)))
% <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(B)),
% inverse(multiply(inverse(V_4),V_4))))
% Rule
% [114]
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,multiply(inverse(a2),a2)))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% inverse(multiply(inverse(C),C))))
% collapsed.
% Current number of equations to process: 310
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [213]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(B)),
% inverse(multiply(inverse(V_4),V_4))))
% Rule
% [120]
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(V_3),V_3))))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% inverse(multiply(inverse(C),C))))
% collapsed.
% Current number of equations to process: 321
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [214]
% multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),
% multiply(A,inverse(C)))),multiply(inverse(V_3),V_3)) -> B
% Rule
% [121]
% multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),
% multiply(A,inverse(C)))),multiply(inverse(a2),a2)) -> B
% collapsed.
% Current number of equations to process: 327
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [215]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(
% inverse(
% multiply(
% inverse(B),C))),
% inverse(C)))),
% multiply(inverse(a2),a2)) -> B
% Current number of equations to process: 332
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [216]
% multiply(inverse(multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(
% multiply(
% inverse(A),A))),
% inverse(B)))),inverse(
% multiply(
% inverse(C),C)))
% -> B
% Current number of equations to process: 355
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [217]
% multiply(inverse(multiply(multiply(inverse(A),A),multiply(inverse(inverse(
% multiply(
% inverse(B),C))),
% inverse(C)))),inverse(
% multiply(
% inverse(V_3),V_3)))
% -> B
% Rule
% [123]
% multiply(inverse(multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(
% multiply(
% inverse(A),B))),
% inverse(B)))),inverse(
% multiply(
% inverse(C),C)))
% -> A collapsed.
% Current number of equations to process: 355
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [218]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(a2),a2),
% inverse(B))) <->
% multiply(inverse(multiply(C,inverse(multiply(inverse(V_3),V_3)))),multiply(C,
% inverse(B)))
% Current number of equations to process: 356
% Current number of ordered equations: 1
% Current number of rules: 113
% New rule produced :
% [219]
% multiply(inverse(multiply(C,inverse(multiply(inverse(V_3),V_3)))),multiply(C,
% inverse(B)))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(a2),a2),
% inverse(B)))
% Current number of equations to process: 356
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [220]
% multiply(inverse(multiply(C,inverse(multiply(inverse(V_3),V_3)))),multiply(C,
% inverse(B)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(B)))
% Current number of equations to process: 356
% Current number of ordered equations: 1
% Current number of rules: 115
% New rule produced :
% [221]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(B))) <->
% multiply(inverse(multiply(C,inverse(multiply(inverse(V_3),V_3)))),multiply(C,
% inverse(B)))
% Current number of equations to process: 356
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [222]
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(V_4),V_4)))),multiply(V_3,
% inverse(C)))
% <->
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(C)))
% Current number of equations to process: 357
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [223]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),B))),
% inverse(C))) <->
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(V_4),V_4)))),multiply(V_3,
% inverse(C)))
% Rule
% [124]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(B))) <->
% multiply(inverse(multiply(C,inverse(multiply(inverse(V_3),V_3)))),multiply(C,
% inverse(B)))
% collapsed.
% Current number of equations to process: 359
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [224]
% multiply(inverse(B),B) <->
% multiply(multiply(inverse(a2),a2),inverse(multiply(inverse(A),A)))
% Current number of equations to process: 362
% Current number of ordered equations: 1
% Current number of rules: 118
% Rule [224]
% multiply(inverse(B),B) <->
% multiply(multiply(inverse(a2),a2),inverse(multiply(inverse(A),A))) is composed into 
% [224] multiply(inverse(B),B) <-> multiply(inverse(a2),a2)
% New rule produced :
% [225]
% multiply(multiply(inverse(a2),a2),inverse(multiply(inverse(A),A))) <->
% multiply(inverse(B),B)
% Rule
% [147]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(
% multiply(
% inverse(A),A))))
% -> multiply(inverse(a2),a2) collapsed.
% Rule
% [202]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(a2),a2),
% inverse(multiply(inverse(B),B)))) ->
% multiply(inverse(a2),a2) collapsed.
% Current number of equations to process: 362
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [226]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(
% inverse(
% multiply(
% inverse(A),A))),
% inverse(B)))),
% inverse(multiply(inverse(C),C))) -> B
% Current number of equations to process: 364
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [227]
% multiply(inverse(C),C) <->
% multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(B),B)))
% Current number of equations to process: 373
% Current number of ordered equations: 1
% Current number of rules: 119
% Rule [227]
% multiply(inverse(C),C) <->
% multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(B),B))) is composed into 
% [227] multiply(inverse(C),C) <-> multiply(inverse(a2),a2)
% New rule produced :
% [228]
% multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(B),B))) <->
% multiply(inverse(C),C)
% Rule
% [180]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),inverse(multiply(
% inverse(A),A)))),
% multiply(inverse(a2),a2)) -> inverse(multiply(inverse(A),A)) collapsed.
% Current number of equations to process: 374
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [229]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(
% inverse(
% multiply(
% inverse(B),B))),
% inverse(C)))),
% inverse(multiply(inverse(V_3),V_3))) -> C
% Rule
% [226]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(
% inverse(
% multiply(
% inverse(A),A))),
% inverse(B)))),
% inverse(multiply(inverse(C),C))) -> B collapsed.
% Current number of equations to process: 377
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [230]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(a2),a2),inverse(a2)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(a2),B))),
% inverse(B)))
% Rule
% [127]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(a2)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(a2),A))),
% inverse(A))) collapsed.
% Current number of equations to process: 377
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [231]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(multiply(
% inverse(a2),a2),
% inverse(B)))),
% inverse(multiply(inverse(C),C))) -> B
% Current number of equations to process: 377
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [232]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% multiply(
% inverse(a2),a2),B))),
% inverse(B))) ->
% multiply(inverse(a2),a2)
% Current number of equations to process: 422
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [233]
% multiply(inverse(multiply(C,inverse(multiply(inverse(V_3),V_3)))),multiply(C,
% inverse(A)))
% <->
% multiply(inverse(multiply(inverse(inverse(A)),multiply(inverse(a2),a2))),
% multiply(inverse(B),B))
% Current number of equations to process: 419
% Current number of ordered equations: 1
% Current number of rules: 122
% Rule [233]
% multiply(inverse(multiply(C,inverse(multiply(inverse(V_3),V_3)))),
% multiply(C,inverse(A))) <->
% multiply(inverse(multiply(inverse(inverse(A)),multiply(inverse(a2),a2))),
% multiply(inverse(B),B)) is composed into [233]
% multiply(inverse(multiply(C,
% inverse(
% multiply(
% inverse(V_3),V_3)))),
% multiply(C,inverse(A))) <->
% multiply(inverse(multiply(a2,
% inverse(
% multiply(
% inverse(a2),a2)))),
% multiply(a2,inverse(A)))
% New rule produced :
% [234]
% multiply(inverse(multiply(inverse(inverse(A)),multiply(inverse(a2),a2))),
% multiply(inverse(B),B)) <->
% multiply(inverse(multiply(C,inverse(multiply(inverse(V_3),V_3)))),multiply(C,
% inverse(A)))
% Current number of equations to process: 419
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [235]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(multiply(
% inverse(B),B),C))),
% inverse(C))) ->
% inverse(multiply(inverse(C),C))
% Rule
% [136]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(multiply(
% inverse(a2),a2),B))),
% inverse(B))) ->
% inverse(multiply(inverse(B),B)) collapsed.
% Current number of equations to process: 418
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [236]
% multiply(inverse(C),C) <->
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(inverse(B),B))),
% multiply(inverse(a2),a2)))
% Current number of equations to process: 418
% Current number of ordered equations: 3
% Current number of rules: 124
% New rule produced :
% [237]
% multiply(inverse(C),C) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),A))),
% multiply(inverse(B),B)))
% Current number of equations to process: 418
% Current number of ordered equations: 2
% Current number of rules: 125
% Rule [236]
% multiply(inverse(C),C) <->
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(
% inverse(B),B))),
% multiply(inverse(a2),a2))) is composed into 
% [236] multiply(inverse(C),C) <-> multiply(inverse(a2),a2)
% New rule produced :
% [238]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(inverse(B),B))),
% multiply(inverse(a2),a2))) <->
% multiply(inverse(C),C)
% Rule
% [138]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),A))),
% multiply(inverse(a2),a2))) <->
% multiply(inverse(B),B) collapsed.
% Current number of equations to process: 418
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [239]
% multiply(inverse(multiply(multiply(inverse(A),A),multiply(multiply(inverse(a2),a2),
% inverse(B)))),inverse(
% multiply(
% inverse(C),C)))
% -> B
% Rule
% [141]
% multiply(inverse(multiply(multiply(inverse(a2),a2),multiply(multiply(
% inverse(a2),a2),
% inverse(A)))),inverse(
% multiply(
% inverse(B),B)))
% -> A collapsed.
% Current number of equations to process: 432
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [240]
% multiply(inverse(multiply(multiply(inverse(A),A),multiply(inverse(inverse(
% multiply(
% inverse(B),B))),
% inverse(C)))),multiply(
% inverse(a2),a2))
% -> C
% Rule
% [143]
% multiply(inverse(multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(
% multiply(
% inverse(A),A))),
% inverse(B)))),multiply(
% inverse(a2),a2))
% -> B collapsed.
% Current number of equations to process: 432
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [241]
% multiply(inverse(multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(
% multiply(
% inverse(A),A))),
% inverse(B)))),multiply(
% inverse(C),C))
% -> B
% Current number of equations to process: 433
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [242]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(multiply(
% inverse(a2),a2),
% inverse(B)))),
% multiply(inverse(a2),a2)) -> B
% Current number of equations to process: 437
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [243]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(
% inverse(
% multiply(
% inverse(A),A))),
% inverse(B)))),
% multiply(inverse(C),C)) -> B
% Current number of equations to process: 436
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [244]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(
% inverse(
% multiply(
% inverse(B),B))),
% inverse(C)))),
% multiply(inverse(V_3),V_3)) -> C
% Rule
% [146]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(
% inverse(
% multiply(
% inverse(B),B))),
% inverse(C)))),
% multiply(inverse(a2),a2)) -> C collapsed.
% Rule
% [243]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(
% inverse(
% multiply(
% inverse(A),A))),
% inverse(B)))),
% multiply(inverse(C),C)) -> B collapsed.
% Current number of equations to process: 435
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [245]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(inverse(B),B))),
% inverse(C))) <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(C)))
% Rule
% [148]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(B))) <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(B)))
% collapsed.
% Current number of equations to process: 434
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [246]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(a2),a2),inverse(B)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(C),C))),
% inverse(B)))
% Rule
% [149]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(B)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(B))) collapsed.
% Current number of equations to process: 434
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [247]
% multiply(inverse(multiply(multiply(inverse(A),A),multiply(inverse(inverse(
% multiply(
% inverse(B),C))),
% inverse(C)))),multiply(
% inverse(V_3),V_3))
% -> B
% Rule
% [150]
% multiply(inverse(multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(
% multiply(
% inverse(A),B))),
% inverse(B)))),multiply(
% inverse(C),C))
% -> A collapsed.
% Current number of equations to process: 447
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [248]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(a2),a2),inverse(B)))
% <->
% multiply(inverse(multiply(C,inverse(multiply(inverse(V_3),V_3)))),multiply(C,
% inverse(B)))
% Rule
% [151]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(C)))
% <->
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(C)))
% collapsed.
% Current number of equations to process: 447
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [249]
% multiply(multiply(inverse(C),C),multiply(multiply(inverse(a2),a2),inverse(B)))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(a2),a2),
% inverse(B)))
% Current number of equations to process: 455
% Current number of ordered equations: 1
% Current number of rules: 128
% New rule produced :
% [250]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(a2),a2),
% inverse(B))) <->
% multiply(multiply(inverse(C),C),multiply(multiply(inverse(a2),a2),inverse(B)))
% Current number of equations to process: 455
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [251]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),B))),
% inverse(C))) <->
% multiply(multiply(inverse(V_3),V_3),multiply(multiply(inverse(a2),a2),
% inverse(C)))
% Rule
% [153]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),B))),
% inverse(C))) <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(C)))
% collapsed.
% Rule
% [154]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(C),C))),
% inverse(B))) <->
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(a2),a2),inverse(B)))
% collapsed.
% Current number of equations to process: 455
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [252]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(B),B))))
% -> multiply(inverse(a2),a2)
% Current number of equations to process: 456
% Current number of ordered equations: 0
% Current number of rules: 129
% Rule [246]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(a2),a2),
% inverse(B))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(
% inverse(C),C))),
% inverse(B))) is composed into 
% [246]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(a2),a2),inverse(B)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(C),C),inverse(B)))
% New rule produced :
% [253]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(B))) <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(C),C),inverse(B)))
% Current number of equations to process: 455
% Current number of ordered equations: 1
% Current number of rules: 130
% New rule produced :
% [254]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(C),C),inverse(B)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(B)))
% Current number of equations to process: 455
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [255]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(V_3),V_3),
% inverse(C))) <->
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(C)))
% Current number of equations to process: 457
% Current number of ordered equations: 1
% Current number of rules: 132
% Rule [233]
% multiply(inverse(multiply(C,inverse(multiply(inverse(V_3),V_3)))),
% multiply(C,inverse(A))) <->
% multiply(inverse(multiply(a2,inverse(multiply(inverse(a2),a2)))),
% multiply(a2,inverse(A))) is composed into [233]
% multiply(inverse(multiply(C,
% inverse(
% multiply(
% inverse(V_3),V_3)))),
% multiply(C,inverse(A))) <->
% multiply(multiply(inverse(a2),a2),
% multiply(multiply(inverse(a2),a2),
% inverse(A)))
% New rule produced :
% [256]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(C)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(V_3),V_3),
% inverse(C)))
% Rule
% [152]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(C)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(C)))
% collapsed.
% Current number of equations to process: 457
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [257]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),B))),
% inverse(C))) <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(V_3),V_3),
% inverse(C)))
% Rule
% [155]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(C),C))),
% inverse(B))) <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(A),A),inverse(B)))
% collapsed.
% Current number of equations to process: 456
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [258]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(C)))
% <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(V_3),V_3))),
% inverse(C)))
% Rule
% [156]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(a2),a2),inverse(B)))
% <->
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(C),C))),
% inverse(B))) collapsed.
% Current number of equations to process: 456
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [259]
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,inverse(multiply(
% inverse(C),C))))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),multiply(
% inverse(B),B)))
% Current number of equations to process: 456
% Current number of ordered equations: 1
% Current number of rules: 133
% New rule produced :
% [260]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),multiply(
% inverse(B),B)))
% <->
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,inverse(multiply(
% inverse(C),C))))
% Current number of equations to process: 456
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [261]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% multiply(inverse(C),C))) <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,multiply(inverse(a2),a2)))
% Rule
% [160]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(B)),
% multiply(inverse(a2),a2))) <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(a2),a2)))
% collapsed.
% Current number of equations to process: 459
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [262]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(C),C)))
% <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(B)),
% multiply(inverse(a2),a2)))
% Rule
% [161]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(a2),a2)))
% <->
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(B)),
% multiply(inverse(a2),a2)))
% collapsed.
% Current number of equations to process: 461
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [263]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(A)),
% multiply(inverse(a2),a2))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),inverse(
% multiply(
% inverse(B),B))))
% Current number of equations to process: 462
% Current number of ordered equations: 1
% Current number of rules: 135
% New rule produced :
% [264]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),inverse(
% multiply(
% inverse(B),B))))
% <->
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(A)),
% multiply(inverse(a2),a2)))
% Current number of equations to process: 462
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [265]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(a2),a2),
% inverse(multiply(inverse(B),
% multiply(inverse(C),C)))))
% -> B
% Rule
% [166]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(a2),a2),
% inverse(multiply(inverse(B),
% multiply(inverse(a2),a2)))))
% -> B collapsed.
% Current number of equations to process: 477
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [266]
% multiply(inverse(multiply(multiply(inverse(A),A),multiply(multiply(inverse(a2),a2),
% inverse(B)))),multiply(
% inverse(C),C))
% -> B
% Rule
% [168]
% multiply(inverse(multiply(multiply(inverse(a2),a2),multiply(multiply(
% inverse(a2),a2),
% inverse(A)))),multiply(
% inverse(B),B))
% -> A collapsed.
% Current number of equations to process: 478
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [267]
% multiply(inverse(multiply(a2,multiply(inverse(a2),a2))),multiply(a2,multiply(
% inverse(A),A)))
% -> multiply(inverse(a2),a2)
% Current number of equations to process: 480
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [268]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),multiply(
% inverse(C),C)))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,multiply(inverse(a2),a2)))
% Rule
% [170]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),multiply(
% inverse(a2),a2)))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,multiply(inverse(a2),a2)))
% collapsed.
% Current number of equations to process: 480
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [269]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(C),C)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(B)),multiply(
% inverse(a2),a2)))
% Rule
% [169]
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,multiply(inverse(B),B)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),multiply(
% inverse(a2),a2)))
% collapsed.
% Rule
% [171]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(a2),a2)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(B)),multiply(
% inverse(a2),a2)))
% collapsed.
% Current number of equations to process: 481
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [270]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),multiply(
% inverse(a2),a2)))
% <->
% multiply(inverse(multiply(C,inverse(B))),multiply(C,multiply(inverse(a2),a2)))
% Rule
% [172]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(B)),multiply(
% inverse(a2),a2)))
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(a2),a2)))
% collapsed.
% Current number of equations to process: 481
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [271]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(inverse(B),B))),
% inverse(C))) <->
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(V_4),V_4)))),multiply(V_3,
% inverse(C)))
% Rule
% [221]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(B))) <->
% multiply(inverse(multiply(C,inverse(multiply(inverse(V_3),V_3)))),multiply(C,
% inverse(B)))
% collapsed.
% Current number of equations to process: 497
% Current number of ordered equations: 1
% Current number of rules: 136
% New rule produced :
% [272]
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(V_4),V_4)))),multiply(V_3,
% inverse(C)))
% <->
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(inverse(B),B))),
% inverse(C)))
% Rule
% [220]
% multiply(inverse(multiply(C,inverse(multiply(inverse(V_3),V_3)))),multiply(C,
% inverse(B)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(B))) collapsed.
% Current number of equations to process: 497
% Current number of ordered equations: 0
% Current number of rules: 136
% Rule [272]
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(V_4),V_4)))),
% multiply(V_3,inverse(C))) <->
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(
% inverse(B),B))),
% inverse(C))) is composed into [272]
% multiply(
% inverse(
% multiply(V_3,
% inverse(
% multiply(
% inverse(V_4),V_4)))),
% multiply(V_3,
% inverse(C)))
% <->
% multiply(
% multiply(
% inverse(A),A),
% multiply(
% multiply(
% inverse(B),B),
% inverse(C)))
% Rule [263]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(A)),
% multiply(inverse(a2),a2))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),inverse(
% multiply(
% inverse(B),B)))) is composed into 
% [263]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(A)),
% multiply(inverse(a2),a2))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),multiply(
% inverse(B),B)))
% Rule [255]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(V_3),V_3),
% inverse(C))) <->
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(C))) is composed into 
% [255]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(V_3),V_3),
% inverse(C))) <->
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(C)))
% Rule [222]
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(V_4),V_4)))),
% multiply(V_3,inverse(C))) <->
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(C))) is composed into 
% [222]
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(V_4),V_4)))),multiply(V_3,
% inverse(C)))
% <->
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(C)))
% Rule [204]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),inverse(
% multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,inverse(multiply(
% inverse(B),B)))) is composed into 
% [204]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),inverse(
% multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,multiply(inverse(B),B)))
% Rule [201]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),
% inverse(A))) <->
% multiply(inverse(multiply(inverse(B),B)),multiply(inverse(inverse(
% multiply(
% inverse(A),C))),
% inverse(C))) is composed into 
% [201]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(A)))
% <->
% multiply(multiply(inverse(B),B),multiply(inverse(inverse(multiply(inverse(A),C))),
% inverse(C)))
% Rule [195]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(
% inverse(C),V_3))),
% inverse(V_3))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(
% multiply(
% inverse(B),B))),
% inverse(C))) is composed into 
% [195]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(C),V_3))),
% inverse(V_3))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(C)))
% Rule [164]
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(V_3),V_3))))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(a2),a2)))) is composed into 
% [164]
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(V_3),V_3))))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,multiply(inverse(a2),a2)))
% New rule produced :
% [273] inverse(multiply(inverse(A),A)) <-> multiply(inverse(B),B)
% Rule
% [61]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(
% multiply(
% inverse(C),C))))
% <-> multiply(inverse(V_3),V_3) collapsed.
% Rule
% [87]
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,inverse(multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,multiply(inverse(a2),a2)))
% collapsed.
% Rule
% [102]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(C)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(C),V_3))),
% inverse(V_3))) collapsed.
% Rule
% [118]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),B))),
% inverse(multiply(inverse(C),C))))
% <-> multiply(inverse(V_3),V_3) collapsed.
% Rule
% [126]
% multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),
% multiply(A,inverse(C)))),inverse(multiply(inverse(V_3),V_3)))
% -> C collapsed.
% Rule [132] inverse(multiply(inverse(A),A)) <-> multiply(inverse(a2),a2)
% collapsed.
% Rule
% [140]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),B))),
% multiply(inverse(C),C))) <->
% multiply(inverse(V_3),V_3) collapsed.
% Rule
% [144]
% multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),
% multiply(A,inverse(C)))),multiply(inverse(V_3),V_3)) -> C
% collapsed.
% Rule
% [174]
% multiply(inverse(multiply(a2,multiply(inverse(A),A))),multiply(a2,inverse(
% inverse(
% multiply(
% inverse(B),B)))))
% -> multiply(inverse(a2),a2) collapsed.
% Rule
% [178]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(
% multiply(
% inverse(A),
% multiply(
% inverse(a2),a2)))))
% -> A collapsed.
% Rule
% [181]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(
% multiply(
% inverse(C),
% inverse(
% multiply(
% inverse(B),B))))))
% -> C collapsed.
% Rule
% [182]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(
% multiply(
% inverse(A),
% inverse(
% multiply(
% inverse(C),C))))))
% -> A collapsed.
% Rule
% [187]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),B))),
% inverse(multiply(inverse(C),
% inverse(multiply(inverse(B),B))))))
% -> C collapsed.
% Rule
% [188]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% multiply(
% inverse(a2),a2)))
% -> multiply(inverse(a2),a2) collapsed.
% Rule
% [191]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(
% multiply(
% inverse(A),
% inverse(
% multiply(
% inverse(B),B))))))
% -> A collapsed.
% Rule
% [194]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),B))),
% inverse(C))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(C),V_3))),
% inverse(V_3))) collapsed.
% Rule
% [200]
% multiply(inverse(multiply(inverse(B),B)),multiply(inverse(inverse(multiply(
% inverse(A),C))),
% inverse(C))) <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(A)))
% collapsed.
% Rule
% [203]
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,inverse(multiply(
% inverse(B),B))))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),inverse(
% multiply(
% inverse(C),C))))
% collapsed.
% Rule
% [206]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(B),B))),
% inverse(multiply(inverse(C),C)))) <->
% multiply(inverse(A),A) collapsed.
% Rule
% [223]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),B))),
% inverse(C))) <->
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(V_4),V_4)))),multiply(V_3,
% inverse(C)))
% collapsed.
% Rule
% [228]
% multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(B),B))) <->
% multiply(inverse(C),C) collapsed.
% Rule
% [229]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(
% inverse(
% multiply(
% inverse(B),B))),
% inverse(C)))),
% inverse(multiply(inverse(V_3),V_3))) -> C collapsed.
% Rule
% [238]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(inverse(B),B))),
% multiply(inverse(a2),a2))) <->
% multiply(inverse(C),C) collapsed.
% Rule
% [240]
% multiply(inverse(multiply(multiply(inverse(A),A),multiply(inverse(inverse(
% multiply(
% inverse(B),B))),
% inverse(C)))),multiply(
% inverse(a2),a2))
% -> C collapsed.
% Rule
% [244]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(
% inverse(
% multiply(
% inverse(B),B))),
% inverse(C)))),
% multiply(inverse(V_3),V_3)) -> C collapsed.
% Rule
% [245]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(inverse(B),B))),
% inverse(C))) <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(C)))
% collapsed.
% Rule
% [250]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(a2),a2),
% inverse(B))) <->
% multiply(multiply(inverse(C),C),multiply(multiply(inverse(a2),a2),inverse(B)))
% collapsed.
% Rule
% [251]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),B))),
% inverse(C))) <->
% multiply(multiply(inverse(V_3),V_3),multiply(multiply(inverse(a2),a2),
% inverse(C))) collapsed.
% Rule
% [252]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(B),B))))
% -> multiply(inverse(a2),a2) collapsed.
% Rule
% [256]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),B)))),multiply(A,
% inverse(C)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(V_3),V_3),
% inverse(C))) collapsed.
% Rule
% [257]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),B))),
% inverse(C))) <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(V_3),V_3),
% inverse(C))) collapsed.
% Rule
% [264]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),inverse(
% multiply(
% inverse(B),B))))
% <->
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(A)),
% multiply(inverse(a2),a2)))
% collapsed.
% Rule
% [271]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(inverse(B),B))),
% inverse(C))) <->
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(V_4),V_4)))),multiply(V_3,
% inverse(C)))
% collapsed.
% Current number of equations to process: 527
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [274]
% multiply(inverse(multiply(a2,multiply(inverse(A),A))),multiply(a2,multiply(
% inverse(B),B)))
% -> multiply(inverse(a2),a2)
% Rule
% [267]
% multiply(inverse(multiply(a2,multiply(inverse(a2),a2))),multiply(a2,multiply(
% inverse(A),A)))
% -> multiply(inverse(a2),a2) collapsed.
% Current number of equations to process: 526
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [275]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,multiply(
% inverse(a2),a2)))
% -> multiply(inverse(a2),a2)
% Current number of equations to process: 525
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [276]
% multiply(inverse(V_3),V_3) <->
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% multiply(
% inverse(C),C))))
% Current number of equations to process: 524
% Current number of ordered equations: 1
% Current number of rules: 106
% Rule [276]
% multiply(inverse(V_3),V_3) <->
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,
% inverse(multiply(
% inverse(C),C)))) is composed into 
% [276] multiply(inverse(V_3),V_3) <-> multiply(inverse(a2),a2)
% New rule produced :
% [277]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% multiply(
% inverse(C),C))))
% <-> multiply(inverse(V_3),V_3)
% Current number of equations to process: 524
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [278]
% multiply(inverse(A),A) <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(C),C))))
% Current number of equations to process: 523
% Current number of ordered equations: 1
% Current number of rules: 108
% Rule [278]
% multiply(inverse(A),A) <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),C)))) is composed into 
% [278] multiply(inverse(A),A) <-> multiply(inverse(a2),a2)
% New rule produced :
% [279]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(C),C))))
% <-> multiply(inverse(A),A)
% Current number of equations to process: 523
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [280]
% multiply(inverse(V_3),V_3) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),C))))
% Current number of equations to process: 522
% Current number of ordered equations: 1
% Current number of rules: 110
% Rule [280]
% multiply(inverse(V_3),V_3) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),C)))) is composed into 
% [280] multiply(inverse(V_3),V_3) <-> multiply(inverse(a2),a2)
% New rule produced :
% [281]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),C))))
% <-> multiply(inverse(V_3),V_3)
% Current number of equations to process: 522
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [282]
% multiply(inverse(multiply(inverse(multiply(A,multiply(inverse(B),B))),
% multiply(A,inverse(C)))),multiply(inverse(V_3),V_3)) -> C
% Current number of equations to process: 520
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [283]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% multiply(
% inverse(A),
% multiply(
% inverse(a2),a2)))))
% -> A
% Current number of equations to process: 519
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [284]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(B),B)))))
% -> C
% Current number of equations to process: 518
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [285]
% multiply(inverse(multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),
% inverse(C)))),multiply(
% inverse(a2),a2))
% -> C
% Current number of equations to process: 517
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [286]
% multiply(inverse(multiply(inverse(multiply(A,multiply(inverse(B),B))),
% multiply(A,inverse(C)))),inverse(multiply(inverse(V_3),V_3)))
% -> C
% Current number of equations to process: 515
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [287]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% multiply(
% inverse(A),
% inverse(
% multiply(
% inverse(C),C))))))
% -> A
% Current number of equations to process: 514
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [288]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),
% multiply(inverse(B),B)))))
% -> C
% Current number of equations to process: 513
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [289]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(C))) <->
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(V_4),V_4)))),multiply(V_3,
% inverse(C)))
% Rule
% [218]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(a2),a2),
% inverse(B))) <->
% multiply(inverse(multiply(C,inverse(multiply(inverse(V_3),V_3)))),multiply(C,
% inverse(B)))
% collapsed.
% Current number of equations to process: 512
% Current number of ordered equations: 1
% Current number of rules: 118
% New rule produced :
% [290]
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(V_4),V_4)))),multiply(V_3,
% inverse(C)))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(C)))
% Rule
% [219]
% multiply(inverse(multiply(C,inverse(multiply(inverse(V_3),V_3)))),multiply(C,
% inverse(B)))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(a2),a2),
% inverse(B))) collapsed.
% Current number of equations to process: 512
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [291]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(multiply(
% inverse(B),B),
% inverse(C)))),
% multiply(inverse(V_3),V_3)) -> C
% Rule
% [242]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(multiply(
% inverse(a2),a2),
% inverse(B)))),
% multiply(inverse(a2),a2)) -> B collapsed.
% Current number of equations to process: 511
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [292]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(C)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(C),V_3))),
% inverse(V_3)))
% Current number of equations to process: 510
% Current number of ordered equations: 1
% Current number of rules: 119
% New rule produced :
% [293]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(C),V_3))),
% inverse(V_3))) <->
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(C)))
% Current number of equations to process: 510
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [294]
% multiply(inverse(multiply(B,inverse(multiply(inverse(A),C)))),multiply(B,
% inverse(C)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(A)))
% Current number of equations to process: 515
% Current number of ordered equations: 1
% Current number of rules: 121
% New rule produced :
% [295]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(A)))
% <->
% multiply(inverse(multiply(B,inverse(multiply(inverse(A),C)))),multiply(B,
% inverse(C)))
% Current number of equations to process: 515
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [296]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(a2),a2),
% inverse(B))) <->
% multiply(inverse(multiply(C,inverse(multiply(inverse(B),V_3)))),multiply(C,
% inverse(V_3)))
% Current number of equations to process: 514
% Current number of ordered equations: 1
% Current number of rules: 123
% New rule produced :
% [297]
% multiply(inverse(multiply(C,inverse(multiply(inverse(B),V_3)))),multiply(C,
% inverse(V_3)))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(a2),a2),
% inverse(B)))
% Current number of equations to process: 514
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [298]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(multiply(
% inverse(B),B),
% inverse(C)))),
% inverse(multiply(inverse(V_3),V_3))) -> C
% Rule
% [231]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(multiply(
% inverse(a2),a2),
% inverse(B)))),
% inverse(multiply(inverse(C),C))) -> B collapsed.
% Current number of equations to process: 512
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [299]
% multiply(inverse(multiply(C,inverse(multiply(inverse(B),V_3)))),multiply(C,
% inverse(V_3)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(B)))
% Current number of equations to process: 510
% Current number of ordered equations: 1
% Current number of rules: 125
% New rule produced :
% [300]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(B))) <->
% multiply(inverse(multiply(C,inverse(multiply(inverse(B),V_3)))),multiply(C,
% inverse(V_3)))
% Current number of equations to process: 510
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [301]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(C)))
% <->
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(C),V_4)))),multiply(V_3,
% inverse(V_4)))
% Current number of equations to process: 511
% Current number of ordered equations: 1
% Current number of rules: 127
% New rule produced :
% [302]
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(C),V_4)))),multiply(V_3,
% inverse(V_4)))
% <->
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(C)))
% Current number of equations to process: 511
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [303]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(C))) <->
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(C),V_4)))),multiply(V_3,
% inverse(V_4)))
% Rule
% [296]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(a2),a2),
% inverse(B))) <->
% multiply(inverse(multiply(C,inverse(multiply(inverse(B),V_3)))),multiply(C,
% inverse(V_3)))
% collapsed.
% Current number of equations to process: 510
% Current number of ordered equations: 1
% Current number of rules: 128
% New rule produced :
% [304]
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(C),V_4)))),multiply(V_3,
% inverse(V_4)))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(C)))
% Rule
% [297]
% multiply(inverse(multiply(C,inverse(multiply(inverse(B),V_3)))),multiply(C,
% inverse(V_3)))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(a2),a2),
% inverse(B))) collapsed.
% Current number of equations to process: 510
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [305]
% multiply(inverse(multiply(a2,inverse(multiply(inverse(A),A)))),multiply(a2,
% multiply(
% inverse(B),B)))
% -> multiply(inverse(a2),a2)
% Current number of equations to process: 511
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [306]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(C),C))),
% inverse(A))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B)))
% Current number of equations to process: 517
% Current number of ordered equations: 1
% Current number of rules: 130
% New rule produced :
% [307]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B))) <->
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(C),C))),
% inverse(A)))
% Current number of equations to process: 517
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [308]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(
% inverse(
% multiply(
% inverse(A),A))),
% inverse(B)))),
% inverse(multiply(inverse(C),C))) -> B
% Current number of equations to process: 516
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [309]
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(V_3),V_3))),
% inverse(C))) <->
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(C)))
% Current number of equations to process: 540
% Current number of ordered equations: 1
% Current number of rules: 133
% New rule produced :
% [310]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(C)))
% <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(V_3),V_3))),
% inverse(C)))
% Rule
% [189]
% multiply(inverse(multiply(B,multiply(inverse(a2),a2))),multiply(B,inverse(A)))
% ->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(A)))
% collapsed.
% Current number of equations to process: 540
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [311]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),C))),
% inverse(C))) <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(V_3),V_3))),
% inverse(B)))
% Current number of equations to process: 540
% Current number of ordered equations: 1
% Current number of rules: 134
% New rule produced :
% [312]
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(V_3),V_3))),
% inverse(B))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),C))),
% inverse(C)))
% Current number of equations to process: 540
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [313]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(B),V_3))),
% inverse(V_3)))
% Rule
% [183]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),C))),
% inverse(C))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B))) collapsed.
% Current number of equations to process: 548
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [314]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B))) <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(C),C),inverse(A)))
% Current number of equations to process: 549
% Current number of ordered equations: 1
% Current number of rules: 136
% New rule produced :
% [315]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(C),C),inverse(A)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B)))
% Current number of equations to process: 549
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [316]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(V_3),V_3))),
% inverse(B)))
% Rule
% [184]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(B))) collapsed.
% Current number of equations to process: 560
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [317]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(C)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(C),V_3))),
% inverse(V_3)))
% Rule
% [230]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(a2),a2),inverse(a2)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(a2),B))),
% inverse(B))) collapsed.
% Rule
% [315]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(C),C),inverse(A)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B))) collapsed.
% Current number of equations to process: 561
% Current number of ordered equations: 1
% Current number of rules: 136
% New rule produced :
% [318]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(C),V_3))),
% inverse(V_3))) <->
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(C)))
% Rule
% [314]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B))) <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(C),C),inverse(A)))
% collapsed.
% Current number of equations to process: 561
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [319]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(a2),a2),inverse(
% multiply(
% inverse(B),
% multiply(
% inverse(C),C)))))
% -> B
% Rule
% [190]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(
% multiply(
% inverse(A),
% multiply(
% inverse(B),B)))))
% -> A collapsed.
% Current number of equations to process: 561
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [320]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% multiply(
% inverse(a2),a2),
% inverse(multiply(
% inverse(B),
% multiply(
% inverse(a2),a2)))))))
% -> multiply(inverse(a2),a2)
% Current number of equations to process: 562
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [321]
% multiply(inverse(multiply(inverse(C),C)),multiply(multiply(inverse(V_3),V_3),
% inverse(B))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(B)))
% Current number of equations to process: 567
% Current number of ordered equations: 3
% Current number of rules: 138
% New rule produced :
% [322]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(multiply(inverse(V_4),V_4),
% inverse(B)))
% Rule
% [195]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(C),V_3))),
% inverse(V_3))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(C))) collapsed.
% Rule
% [199]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(a2),a2),
% inverse(B))) collapsed.
% Current number of equations to process: 567
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [323]
% multiply(inverse(multiply(C,inverse(A))),multiply(C,multiply(inverse(a2),a2)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),multiply(
% inverse(B),B)))
% Current number of equations to process: 588
% Current number of ordered equations: 1
% Current number of rules: 138
% New rule produced :
% [324]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),multiply(
% inverse(B),B)))
% <->
% multiply(inverse(multiply(C,inverse(A))),multiply(C,multiply(inverse(a2),a2)))
% Current number of equations to process: 588
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [325]
% multiply(inverse(A),A) <->
% multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),multiply(B,
% multiply(
% inverse(a2),a2)))
% Current number of equations to process: 588
% Current number of ordered equations: 1
% Current number of rules: 140
% Rule [325]
% multiply(inverse(A),A) <->
% multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),multiply(B,
% multiply(
% inverse(a2),a2))) is composed into 
% [325] multiply(inverse(A),A) <-> multiply(inverse(a2),a2)
% New rule produced :
% [326]
% multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),multiply(B,
% multiply(
% inverse(a2),a2)))
% <-> multiply(inverse(A),A)
% Current number of equations to process: 588
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [327]
% multiply(inverse(multiply(C,inverse(B))),multiply(C,multiply(inverse(a2),a2)))
% <->
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),inverse(B))),
% multiply(inverse(a2),a2))
% Current number of equations to process: 587
% Current number of ordered equations: 1
% Current number of rules: 142
% Rule [327]
% multiply(inverse(multiply(C,inverse(B))),multiply(C,multiply(inverse(a2),a2)))
% <->
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),inverse(B))),
% multiply(inverse(a2),a2)) is composed into [327]
% multiply(inverse(multiply(C,
% inverse(B))),
% multiply(C,multiply(inverse(a2),a2)))
% <->
% multiply(inverse(multiply(a2,
% inverse(B))),
% multiply(a2,multiply(
% inverse(a2),a2)))
% New rule produced :
% [328]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),inverse(B))),
% multiply(inverse(a2),a2)) <->
% multiply(inverse(multiply(C,inverse(B))),multiply(C,multiply(inverse(a2),a2)))
% Current number of equations to process: 587
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [329]
% multiply(multiply(inverse(C),C),multiply(inverse(inverse(multiply(inverse(B),V_3))),
% inverse(V_3))) <->
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(a2),a2),inverse(B)))
% Rule
% [196]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(B)))
% collapsed.
% Current number of equations to process: 595
% Current number of ordered equations: 3
% Current number of rules: 143
% New rule produced :
% [330]
% multiply(multiply(inverse(C),C),multiply(inverse(inverse(multiply(inverse(B),V_3))),
% inverse(V_3))) <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(A),A),inverse(B)))
% Current number of equations to process: 595
% Current number of ordered equations: 2
% Current number of rules: 144
% New rule produced :
% [331]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(a2),a2),inverse(B)))
% <->
% multiply(multiply(inverse(C),C),multiply(inverse(inverse(multiply(inverse(B),V_3))),
% inverse(V_3)))
% Rule
% [201]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(A)))
% <->
% multiply(multiply(inverse(B),B),multiply(inverse(inverse(multiply(inverse(A),C))),
% inverse(C))) collapsed.
% Current number of equations to process: 595
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [332]
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,multiply(inverse(C),C)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),multiply(
% inverse(B),B)))
% Current number of equations to process: 595
% Current number of ordered equations: 1
% Current number of rules: 145
% New rule produced :
% [333]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),multiply(
% inverse(B),B)))
% <->
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,multiply(inverse(C),C)))
% Current number of equations to process: 595
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [334]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),inverse(
% multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,multiply(inverse(V_3),V_3)))
% Rule
% [204]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),inverse(
% multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,multiply(inverse(B),B)))
% collapsed.
% Current number of equations to process: 595
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [335]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% multiply(inverse(B),B))) ->
% multiply(inverse(a2),a2)
% Current number of equations to process: 596
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [336]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(C),C)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(B)),inverse(
% multiply(
% inverse(V_3),V_3))))
% Rule
% [207]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(a2),a2)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(B)),inverse(
% multiply(
% inverse(C),C))))
% collapsed.
% Current number of equations to process: 598
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [337]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),inverse(
% multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,multiply(inverse(a2),a2)))
% Rule
% [208]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(B)),inverse(
% multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(a2),a2)))
% collapsed.
% Current number of equations to process: 598
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [338]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(B),V_3))),
% inverse(V_3))) <->
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(a2),a2),inverse(B)))
% Current number of equations to process: 624
% Current number of ordered equations: 1
% Current number of rules: 148
% New rule produced :
% [339]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(a2),a2),inverse(B)))
% <->
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(B),V_3))),
% inverse(V_3)))
% Current number of equations to process: 624
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [340]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(C)))
% <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(C),V_4))),
% inverse(V_4)))
% Rule
% [339]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(a2),a2),inverse(B)))
% <->
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(B),V_3))),
% inverse(V_3))) collapsed.
% Current number of equations to process: 636
% Current number of ordered equations: 1
% Current number of rules: 149
% New rule produced :
% [341]
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(C),V_4))),
% inverse(V_4))) <->
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(C)))
% Rule
% [338]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(B),V_3))),
% inverse(V_3))) <->
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(a2),a2),inverse(B)))
% collapsed.
% Current number of equations to process: 636
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [342]
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(C),V_4))),
% inverse(V_4))) <->
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(C)))
% Current number of equations to process: 641
% Current number of ordered equations: 1
% Current number of rules: 150
% New rule produced :
% [343]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(C)))
% <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(C),V_4))),
% inverse(V_4)))
% Current number of equations to process: 641
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [344]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,
% inverse(C)))
% <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(B),V_4))),
% inverse(V_4)))
% Current number of equations to process: 641
% Current number of ordered equations: 1
% Current number of rules: 152
% New rule produced :
% [345]
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(B),V_4))),
% inverse(V_4))) <->
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,
% inverse(C)))
% Current number of equations to process: 641
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [346]
% multiply(inverse(A),A) <->
% multiply(multiply(inverse(B),B),multiply(inverse(inverse(multiply(inverse(C),C))),
% inverse(multiply(inverse(V_3),V_3))))
% Current number of equations to process: 643
% Current number of ordered equations: 1
% Current number of rules: 154
% Rule [346]
% multiply(inverse(A),A) <->
% multiply(multiply(inverse(B),B),multiply(inverse(inverse(multiply(
% inverse(C),C))),
% inverse(multiply(inverse(V_3),V_3)))) is composed into 
% [346] multiply(inverse(A),A) <-> multiply(inverse(a2),a2)
% New rule produced :
% [347]
% multiply(multiply(inverse(B),B),multiply(inverse(inverse(multiply(inverse(C),C))),
% inverse(multiply(inverse(V_3),V_3)))) <->
% multiply(inverse(A),A)
% Current number of equations to process: 643
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [348]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(
% inverse(
% multiply(
% inverse(B),C))),
% inverse(C)))),
% multiply(inverse(V_3),V_3)) -> B
% Rule
% [215]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(
% inverse(
% multiply(
% inverse(B),C))),
% inverse(C)))),
% multiply(inverse(a2),a2)) -> B collapsed.
% Current number of equations to process: 675
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [349]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(
% inverse(
% multiply(
% inverse(A),A))),
% inverse(B)))),
% multiply(inverse(C),C)) -> B
% Current number of equations to process: 674
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [350]
% multiply(inverse(multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),
% inverse(C)))),inverse(
% multiply(
% inverse(V_3),V_3)))
% -> C
% Rule
% [239]
% multiply(inverse(multiply(multiply(inverse(A),A),multiply(multiply(inverse(a2),a2),
% inverse(B)))),inverse(
% multiply(
% inverse(C),C)))
% -> B collapsed.
% Current number of equations to process: 674
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [351]
% multiply(inverse(A),A) <->
% multiply(multiply(inverse(B),B),multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(C),C))))
% Current number of equations to process: 705
% Current number of ordered equations: 1
% Current number of rules: 157
% Rule [351]
% multiply(inverse(A),A) <->
% multiply(multiply(inverse(B),B),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),C)))) is composed into 
% [351] multiply(inverse(A),A) <-> multiply(inverse(a2),a2)
% New rule produced :
% [352]
% multiply(multiply(inverse(B),B),multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(C),C))))
% <-> multiply(inverse(A),A)
% Current number of equations to process: 705
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [353]
% multiply(inverse(A),A) <->
% multiply(multiply(inverse(B),B),multiply(inverse(inverse(multiply(inverse(C),C))),
% multiply(inverse(a2),a2)))
% Current number of equations to process: 707
% Current number of ordered equations: 1
% Current number of rules: 159
% Rule [353]
% multiply(inverse(A),A) <->
% multiply(multiply(inverse(B),B),multiply(inverse(inverse(multiply(
% inverse(C),C))),
% multiply(inverse(a2),a2))) is composed into 
% [353] multiply(inverse(A),A) <-> multiply(inverse(a2),a2)
% New rule produced :
% [354]
% multiply(multiply(inverse(B),B),multiply(inverse(inverse(multiply(inverse(C),C))),
% multiply(inverse(a2),a2))) <->
% multiply(inverse(A),A)
% Current number of equations to process: 707
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [355]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(C),C))),
% inverse(A))) <->
% multiply(inverse(multiply(inverse(inverse(A)),multiply(inverse(B),B))),
% multiply(inverse(a2),a2))
% Current number of equations to process: 717
% Current number of ordered equations: 1
% Current number of rules: 161
% Rule [355]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(
% multiply(
% inverse(C),C))),
% inverse(A))) <->
% multiply(inverse(multiply(inverse(inverse(A)),multiply(inverse(B),B))),
% multiply(inverse(a2),a2)) is composed into [355]
% multiply(inverse(multiply(
% inverse(C),C)),
% multiply(inverse(inverse(
% multiply(
% inverse(C),C))),
% inverse(A))) <->
% multiply(inverse(multiply(
% inverse(a2),a2)),
% multiply(inverse(inverse(
% multiply(
% inverse(a2),a2))),
% inverse(A)))
% New rule produced :
% [356]
% multiply(inverse(multiply(inverse(inverse(A)),multiply(inverse(B),B))),
% multiply(inverse(a2),a2)) <->
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(C),C))),
% inverse(A)))
% Current number of equations to process: 717
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [357]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(C)))
% <->
% multiply(inverse(multiply(V_3,multiply(inverse(V_4),V_4))),multiply(V_3,
% inverse(C)))
% Current number of equations to process: 718
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [358]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(C))) <->
% multiply(inverse(multiply(V_3,multiply(inverse(V_4),V_4))),multiply(V_3,
% inverse(C)))
% Current number of equations to process: 719
% Current number of ordered equations: 1
% Current number of rules: 164
% New rule produced :
% [359]
% multiply(inverse(multiply(V_3,multiply(inverse(V_4),V_4))),multiply(V_3,
% inverse(C))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(C)))
% Current number of equations to process: 719
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [360]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% multiply(
% inverse(B),B),C))),
% inverse(C))) ->
% multiply(inverse(a2),a2)
% Rule
% [232]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% multiply(
% inverse(a2),a2),B))),
% inverse(B))) ->
% multiply(inverse(a2),a2) collapsed.
% Current number of equations to process: 724
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [361]
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(V_4),V_4)))),multiply(V_3,
% inverse(A)))
% <->
% multiply(inverse(multiply(inverse(inverse(A)),multiply(inverse(B),B))),
% multiply(inverse(C),C))
% Current number of equations to process: 733
% Current number of ordered equations: 1
% Current number of rules: 166
% Rule [361]
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(V_4),V_4)))),
% multiply(V_3,inverse(A))) <->
% multiply(inverse(multiply(inverse(inverse(A)),multiply(inverse(B),B))),
% multiply(inverse(C),C)) is composed into [361]
% multiply(inverse(multiply(V_3,
% inverse(
% multiply(
% inverse(V_4),V_4)))),
% multiply(V_3,inverse(A))) <->
% multiply(inverse(multiply(a2,
% inverse(
% multiply(
% inverse(a2),a2)))),
% multiply(a2,inverse(A)))
% New rule produced :
% [362]
% multiply(inverse(multiply(inverse(inverse(A)),multiply(inverse(B),B))),
% multiply(inverse(C),C)) <->
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(V_4),V_4)))),multiply(V_3,
% inverse(A)))
% Rule
% [234]
% multiply(inverse(multiply(inverse(inverse(A)),multiply(inverse(a2),a2))),
% multiply(inverse(B),B)) <->
% multiply(inverse(multiply(C,inverse(multiply(inverse(V_3),V_3)))),multiply(C,
% inverse(A)))
% collapsed.
% Rule
% [356]
% multiply(inverse(multiply(inverse(inverse(A)),multiply(inverse(B),B))),
% multiply(inverse(a2),a2)) <->
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(C),C))),
% inverse(A))) collapsed.
% Current number of equations to process: 733
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [363]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(C),C))))
% -> multiply(inverse(a2),a2)
% Rule
% [279]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(C),C))))
% <-> multiply(inverse(A),A) collapsed.
% Rule
% [352]
% multiply(multiply(inverse(B),B),multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(C),C))))
% <-> multiply(inverse(A),A) collapsed.
% Current number of equations to process: 733
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [364]
% multiply(multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% multiply(inverse(B),B))),multiply(
% inverse(C),C))
% <-> multiply(inverse(V_3),V_3)
% Current number of equations to process: 777
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [365]
% multiply(inverse(multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),
% inverse(C)))),multiply(
% inverse(V_3),V_3))
% -> C
% Rule
% [266]
% multiply(inverse(multiply(multiply(inverse(A),A),multiply(multiply(inverse(a2),a2),
% inverse(B)))),multiply(
% inverse(C),C))
% -> B collapsed.
% Rule
% [285]
% multiply(inverse(multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),
% inverse(C)))),multiply(
% inverse(a2),a2))
% -> C collapsed.
% Current number of equations to process: 777
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [366]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(C)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(V_3),V_3))),
% inverse(C)))
% Rule
% [254]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(C),C),inverse(B)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(B))) collapsed.
% Current number of equations to process: 812
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [367]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(C)))
% <->
% multiply(inverse(multiply(V_3,multiply(inverse(V_4),V_4))),multiply(V_3,
% inverse(C)))
% Rule
% [255]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(V_3),V_3),
% inverse(C))) <->
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(C)))
% collapsed.
% Current number of equations to process: 812
% Current number of ordered equations: 0
% Current number of rules: 164
% Rule [355]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(
% multiply(
% inverse(C),C))),
% inverse(A))) <->
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(
% multiply(
% inverse(a2),a2))),
% inverse(A))) is composed into 
% [355]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(C),C))),
% inverse(A))) <->
% multiply(inverse(multiply(inverse(a2),a2)),multiply(multiply(inverse(a2),a2),
% inverse(A)))
% New rule produced :
% [368]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(C),C))),
% inverse(B))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(a2),a2),
% inverse(B)))
% Current number of equations to process: 817
% Current number of ordered equations: 1
% Current number of rules: 165
% New rule produced :
% [369]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(a2),a2),
% inverse(B))) <->
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(C),C))),
% inverse(B)))
% Current number of equations to process: 817
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [370]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% inverse(C),C))))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(B)),multiply(
% inverse(V_3),V_3)))
% Rule
% [96]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% inverse(C),C))))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(B)),multiply(
% inverse(a2),a2)))
% collapsed.
% Rule
% [259]
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,inverse(multiply(
% inverse(C),C))))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),multiply(
% inverse(B),B)))
% collapsed.
% Current number of equations to process: 820
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [371]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),multiply(
% inverse(C),C)))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(V_3),V_3))))
% Rule
% [260]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),multiply(
% inverse(B),B)))
% <->
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,inverse(multiply(
% inverse(C),C))))
% collapsed.
% Current number of equations to process: 820
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [372]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),
% multiply(inverse(V_3),V_3)))))
% -> C
% Rule
% [265]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(a2),a2),
% inverse(multiply(inverse(B),
% multiply(inverse(C),C)))))
% -> B collapsed.
% Rule
% [288]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),
% multiply(inverse(B),B)))))
% -> C collapsed.
% Current number of equations to process: 843
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [373]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),multiply(
% inverse(C),C)))
% <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,multiply(inverse(a2),a2)))
% Rule
% [268]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),multiply(
% inverse(C),C)))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,multiply(inverse(a2),a2)))
% collapsed.
% Rule
% [270]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),multiply(
% inverse(a2),a2)))
% <->
% multiply(inverse(multiply(C,inverse(B))),multiply(C,multiply(inverse(a2),a2)))
% collapsed.
% Rule
% [324]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),multiply(
% inverse(B),B)))
% <->
% multiply(inverse(multiply(C,inverse(A))),multiply(C,multiply(inverse(a2),a2)))
% collapsed.
% Current number of equations to process: 858
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [374]
% multiply(inverse(V_3),V_3) <->
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,multiply(
% inverse(C),C)))
% Current number of equations to process: 879
% Current number of ordered equations: 1
% Current number of rules: 163
% Rule [374]
% multiply(inverse(V_3),V_3) <->
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,
% multiply(inverse(C),C))) is composed into 
% [374] multiply(inverse(V_3),V_3) <-> multiply(inverse(a2),a2)
% New rule produced :
% [375]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,multiply(
% inverse(C),C)))
% <-> multiply(inverse(V_3),V_3)
% Rule
% [274]
% multiply(inverse(multiply(a2,multiply(inverse(A),A))),multiply(a2,multiply(
% inverse(B),B)))
% -> multiply(inverse(a2),a2) collapsed.
% Rule
% [275]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,multiply(
% inverse(a2),a2)))
% -> multiply(inverse(a2),a2) collapsed.
% Current number of equations to process: 879
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [376]
% inverse(multiply(inverse(A),A)) <->
% multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),multiply(B,
% inverse(
% multiply(
% inverse(V_3),V_3))))
% Current number of equations to process: 908
% Current number of ordered equations: 1
% Current number of rules: 163
% Rule [376]
% inverse(multiply(inverse(A),A)) <->
% multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),multiply(B,
% inverse(
% multiply(
% inverse(V_3),V_3)))) is composed into 
% [376] inverse(multiply(inverse(A),A)) <-> inverse(multiply(inverse(a2),a2))
% New rule produced :
% [377]
% multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),multiply(B,
% inverse(
% multiply(
% inverse(V_3),V_3))))
% <-> inverse(multiply(inverse(A),A))
% Current number of equations to process: 908
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [378]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(C),C)))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(V_3),V_3))))
% Current number of equations to process: 904
% Current number of ordered equations: 1
% Current number of rules: 165
% New rule produced :
% [379]
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(V_3),V_3))))
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(C),C)))
% Rule
% [164]
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(V_3),V_3))))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,multiply(inverse(a2),a2)))
% collapsed.
% Current number of equations to process: 904
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [380]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(C),C)))
% <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(multiply(
% inverse(V_4),V_4))))
% Rule
% [378]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(C),C)))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(V_3),V_3))))
% collapsed.
% Current number of equations to process: 902
% Current number of ordered equations: 1
% Current number of rules: 165
% New rule produced :
% [381]
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(multiply(
% inverse(V_4),V_4))))
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(C),C)))
% Rule
% [52]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,multiply(inverse(a2),a2)))
% collapsed.
% Rule
% [62]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(V_3),V_3))))
% collapsed.
% Rule
% [162]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(B)),
% multiply(inverse(a2),a2)))
% collapsed.
% Rule
% [213]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(B)),
% inverse(multiply(inverse(V_4),V_4))))
% collapsed.
% Rule
% [370]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% inverse(C),C))))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(B)),multiply(
% inverse(V_3),V_3)))
% collapsed.
% Rule
% [379]
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(V_3),V_3))))
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(C),C)))
% collapsed.
% Current number of equations to process: 903
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [382]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(C),C)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(B)),multiply(
% inverse(V_3),V_3)))
% Rule
% [269]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(C),C)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(B)),multiply(
% inverse(a2),a2)))
% collapsed.
% Rule
% [323]
% multiply(inverse(multiply(C,inverse(A))),multiply(C,multiply(inverse(a2),a2)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),multiply(
% inverse(B),B)))
% collapsed.
% Rule
% [332]
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,multiply(inverse(C),C)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),multiply(
% inverse(B),B)))
% collapsed.
% Current number of equations to process: 902
% Current number of ordered equations: 1
% Current number of rules: 158
% New rule produced :
% [383]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(B)),multiply(
% inverse(V_3),V_3)))
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(C),C)))
% Rule
% [333]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),multiply(
% inverse(B),B)))
% <->
% multiply(inverse(multiply(a2,inverse(A))),multiply(a2,multiply(inverse(C),C)))
% collapsed.
% Current number of equations to process: 902
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [384]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(C)))
% <->
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(C),V_4)))),multiply(V_3,
% inverse(V_4)))
% Rule
% [295]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(A)))
% <->
% multiply(inverse(multiply(B,inverse(multiply(inverse(A),C)))),multiply(B,
% inverse(C)))
% collapsed.
% Current number of equations to process: 899
% Current number of ordered equations: 1
% Current number of rules: 158
% New rule produced :
% [385]
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(C),V_4)))),multiply(V_3,
% inverse(V_4)))
% <->
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(C)))
% Rule
% [294]
% multiply(inverse(multiply(B,inverse(multiply(inverse(A),C)))),multiply(B,
% inverse(C)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(A)))
% collapsed.
% Current number of equations to process: 899
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [386]
% inverse(multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% multiply(inverse(B),B)))) <->
% multiply(inverse(C),C)
% Current number of equations to process: 897
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [387]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),multiply(
% inverse(C),C)))
% <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(multiply(
% inverse(V_4),V_4))))
% Rule
% [371]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),multiply(
% inverse(C),C)))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(V_3),V_3))))
% collapsed.
% Current number of equations to process: 894
% Current number of ordered equations: 1
% Current number of rules: 159
% New rule produced :
% [388]
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(multiply(
% inverse(V_4),V_4))))
% <->
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),multiply(
% inverse(C),C)))
% Current number of equations to process: 894
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [389]
% multiply(inverse(multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(
% inverse(A),A)),
% inverse(B)))),multiply(
% inverse(C),C))
% -> B
% Current number of equations to process: 893
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [390]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(C)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(V_3),V_3))),
% inverse(C)))
% Current number of equations to process: 892
% Current number of ordered equations: 1
% Current number of rules: 162
% New rule produced :
% [391]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(V_3),V_3))),
% inverse(C))) <->
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(C)))
% Current number of equations to process: 892
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [392]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),inverse(
% multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(V_3),V_3))))
% Current number of equations to process: 888
% Current number of ordered equations: 1
% Current number of rules: 164
% New rule produced :
% [393]
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(V_3),V_3))))
% <->
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),inverse(
% multiply(
% inverse(C),C))))
% Current number of equations to process: 888
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [394]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% multiply(inverse(C),C))) <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(multiply(
% inverse(V_4),V_4))))
% Rule
% [157]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% multiply(inverse(C),C))) <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(V_3),V_3))))
% collapsed.
% Current number of equations to process: 886
% Current number of ordered equations: 1
% Current number of rules: 165
% New rule produced :
% [395]
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(multiply(
% inverse(V_4),V_4))))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% multiply(inverse(C),C)))
% Current number of equations to process: 886
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [396]
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(multiply(
% inverse(V_4),V_4))))
% <->
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),inverse(B))),
% multiply(inverse(C),C))
% Current number of equations to process: 885
% Current number of ordered equations: 1
% Current number of rules: 167
% Rule [396]
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4))))
% <->
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),inverse(B))),
% multiply(inverse(C),C)) is composed into [396]
% multiply(inverse(multiply(V_3,
% inverse(B))),
% multiply(V_3,inverse(multiply(
% inverse(V_4),V_4))))
% <->
% multiply(inverse(multiply(a2,
% inverse(B))),
% multiply(a2,inverse(multiply(
% inverse(a2),a2))))
% New rule produced :
% [397]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),inverse(B))),
% multiply(inverse(C),C)) <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(multiply(
% inverse(V_4),V_4))))
% Rule
% [328]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),inverse(B))),
% multiply(inverse(a2),a2)) <->
% multiply(inverse(multiply(C,inverse(B))),multiply(C,multiply(inverse(a2),a2)))
% collapsed.
% Current number of equations to process: 885
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [398]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(A),A)),
% inverse(B)))
% Current number of equations to process: 884
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced :
% [399]
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(A),A)),
% inverse(B))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C)))
% Current number of equations to process: 884
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [400]
% multiply(inverse(multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(
% inverse(A),A)),
% inverse(B)))),inverse(
% multiply(
% inverse(C),C)))
% -> B
% Current number of equations to process: 883
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [401]
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(V_4),V_4))),
% inverse(C))) <->
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(C)))
% Rule
% [309]
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(V_3),V_3))),
% inverse(C))) <->
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(C)))
% collapsed.
% Current number of equations to process: 882
% Current number of ordered equations: 1
% Current number of rules: 170
% New rule produced :
% [402]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(C)))
% <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(V_4),V_4))),
% inverse(C)))
% Rule
% [310]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(C)))
% <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(V_3),V_3))),
% inverse(C))) collapsed.
% Current number of equations to process: 882
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [403]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% multiply(
% inverse(A),
% multiply(
% inverse(C),C)))))
% -> A
% Rule
% [283]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% multiply(
% inverse(A),
% multiply(
% inverse(a2),a2)))))
% -> A collapsed.
% Current number of equations to process: 910
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [404]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(a2),a2)))))
% -> C
% Current number of equations to process: 911
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [405]
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(A),A)),
% inverse(multiply(inverse(B),multiply(
% inverse(A),A)))))
% -> B
% Current number of equations to process: 912
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [406]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(V_3),V_3)))))
% -> C
% Rule
% [284]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(B),B)))))
% -> C collapsed.
% Rule
% [403]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% multiply(
% inverse(A),
% multiply(
% inverse(C),C)))))
% -> A collapsed.
% Rule
% [404]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(a2),a2)))))
% -> C collapsed.
% Current number of equations to process: 916
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [407]
% multiply(inverse(multiply(inverse(C),C)),multiply(multiply(inverse(V_3),V_3),
% inverse(B))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(B)))
% Rule
% [369]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(a2),a2),
% inverse(B))) <->
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(C),C))),
% inverse(B))) collapsed.
% Current number of equations to process: 957
% Current number of ordered equations: 1
% Current number of rules: 170
% New rule produced :
% [408]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(B))) <->
% multiply(inverse(multiply(inverse(C),C)),multiply(multiply(inverse(V_3),V_3),
% inverse(B)))
% Rule
% [355]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(C),C))),
% inverse(A))) <->
% multiply(inverse(multiply(inverse(a2),a2)),multiply(multiply(inverse(a2),a2),
% inverse(A))) collapsed.
% Rule
% [368]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(C),C))),
% inverse(B))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(a2),a2),
% inverse(B))) collapsed.
% Current number of equations to process: 957
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [409]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(inverse(multiply(V_3,multiply(inverse(V_4),V_4))),multiply(V_3,
% inverse(B)))
% Rule
% [293]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(C),V_3))),
% inverse(V_3))) <->
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(C)))
% collapsed.
% Current number of equations to process: 985
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [410]
% multiply(inverse(multiply(C,inverse(multiply(inverse(B),V_3)))),multiply(C,
% inverse(V_3)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(A),A)),
% inverse(B)))
% Current number of equations to process: 1029
% Current number of ordered equations: 1
% Current number of rules: 170
% New rule produced :
% [411]
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(A),A)),
% inverse(B))) <->
% multiply(inverse(multiply(C,inverse(multiply(inverse(B),V_3)))),multiply(C,
% inverse(V_3)))
% Current number of equations to process: 1029
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [412]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),C))),
% inverse(C))) <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(multiply(inverse(V_4),V_4),
% inverse(B)))
% Current number of equations to process: 1134
% Current number of ordered equations: 1
% Current number of rules: 172
% New rule produced :
% [413]
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(multiply(inverse(V_4),V_4),
% inverse(B))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),C))),
% inverse(C)))
% Current number of equations to process: 1134
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [414]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(
% inverse(
% multiply(
% multiply(
% inverse(C),C),B))),
% inverse(B)))))
% -> multiply(inverse(a2),a2)
% Current number of equations to process: 1137
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [415]
% multiply(multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% multiply(inverse(B),B))),inverse(
% multiply(
% inverse(C),C)))
% <-> multiply(inverse(V_3),V_3)
% Current number of equations to process: 1134
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [416]
% multiply(inverse(inverse(C)),inverse(B)) <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(
% multiply(
% inverse(
% multiply(A,
% inverse(B))),
% multiply(A,
% inverse(C))))))
% Rule
% [235]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(multiply(
% inverse(B),B),C))),
% inverse(C))) ->
% inverse(multiply(inverse(C),C)) collapsed.
% Rule
% [360]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% multiply(
% inverse(B),B),C))),
% inverse(C))) ->
% multiply(inverse(a2),a2) collapsed.
% Rule
% [414]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(
% inverse(
% multiply(
% multiply(
% inverse(C),C),B))),
% inverse(B)))))
% -> multiply(inverse(a2),a2) collapsed.
% Current number of equations to process: 1135
% Current number of ordered equations: 1
% Current number of rules: 173
% New rule produced :
% [417]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(
% multiply(
% inverse(
% multiply(A,
% inverse(B))),
% multiply(A,
% inverse(C))))))
% <-> multiply(inverse(inverse(C)),inverse(B))
% Current number of equations to process: 1135
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [418]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% multiply(
% inverse(
% multiply(C,
% inverse(V_3))),
% multiply(C,
% inverse(V_4))))))
% <-> multiply(inverse(inverse(V_4)),inverse(V_3))
% Current number of equations to process: 1134
% Current number of ordered equations: 1
% Current number of rules: 175
% New rule produced :
% [419]
% multiply(inverse(inverse(V_4)),inverse(V_3)) <->
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% multiply(
% inverse(
% multiply(C,
% inverse(V_3))),
% multiply(C,
% inverse(V_4))))))
% Current number of equations to process: 1134
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [420]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),C))))))
% -> multiply(inverse(B),B)
% Current number of equations to process: 1133
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [421]
% multiply(inverse(multiply(V_4,multiply(inverse(V_5),V_5))),multiply(V_4,
% inverse(B))) <->
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),C))))),
% multiply(A,multiply(inverse(V_3),V_3)))
% Current number of equations to process: 1132
% Current number of ordered equations: 1
% Current number of rules: 178
% New rule produced :
% [422]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),C))))),
% multiply(A,multiply(inverse(V_3),V_3))) <->
% multiply(inverse(multiply(V_4,multiply(inverse(V_5),V_5))),multiply(V_4,
% inverse(B)))
% Current number of equations to process: 1132
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [423]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(V_3),V_3))),
% inverse(B)))
% Rule
% [307]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B))) <->
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(C),C))),
% inverse(A))) collapsed.
% Current number of equations to process: 1171
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [424]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(multiply(inverse(V_3),V_3),multiply(multiply(inverse(V_4),V_4),
% inverse(B)))
% Rule
% [318]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(C),V_3))),
% inverse(V_3))) <->
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(C)))
% collapsed.
% Rule
% [329]
% multiply(multiply(inverse(C),C),multiply(inverse(inverse(multiply(inverse(B),V_3))),
% inverse(V_3))) <->
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(a2),a2),inverse(B)))
% collapsed.
% Rule
% [330]
% multiply(multiply(inverse(C),C),multiply(inverse(inverse(multiply(inverse(B),V_3))),
% inverse(V_3))) <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(A),A),inverse(B)))
% collapsed.
% Current number of equations to process: 1312
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [425]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(V_3),V_3)))))
% -> C
% Rule
% [319]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(a2),a2),inverse(
% multiply(
% inverse(B),
% multiply(
% inverse(C),C)))))
% -> B collapsed.
% Current number of equations to process: 1313
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [426]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(a2),a2),inverse(
% multiply(
% inverse(
% multiply(B,
% inverse(C))),
% multiply(B,
% inverse(V_3))))))
% <-> multiply(inverse(inverse(V_3)),inverse(C))
% Rule
% [417]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(
% multiply(
% inverse(
% multiply(A,
% inverse(B))),
% multiply(A,
% inverse(C))))))
% <-> multiply(inverse(inverse(C)),inverse(B)) collapsed.
% Current number of equations to process: 1316
% Current number of ordered equations: 1
% Current number of rules: 177
% New rule produced :
% [427]
% multiply(inverse(inverse(V_3)),inverse(C)) <->
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(a2),a2),inverse(
% multiply(
% inverse(
% multiply(B,
% inverse(C))),
% multiply(B,
% inverse(V_3))))))
% Rule
% [416]
% multiply(inverse(inverse(C)),inverse(B)) <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(
% multiply(
% inverse(
% multiply(A,
% inverse(B))),
% multiply(A,
% inverse(C))))))
% collapsed.
% Current number of equations to process: 1316
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [428]
% multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),
% multiply(inverse(C),C))))),
% multiply(A,multiply(inverse(a2),a2)))),multiply(inverse(V_3),V_3))
% -> B
% Current number of equations to process: 1315
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [429]
% multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),
% multiply(inverse(C),C))))),
% multiply(A,multiply(inverse(V_3),V_3)))),multiply(inverse(V_4),V_4))
% -> B
% Rule
% [428]
% multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),
% multiply(inverse(C),C))))),
% multiply(A,multiply(inverse(a2),a2)))),multiply(inverse(V_3),V_3))
% -> B collapsed.
% Current number of equations to process: 1313
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [430]
% multiply(inverse(multiply(inverse(V_4),V_4)),multiply(multiply(inverse(V_5),V_5),
% inverse(B))) <->
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),C))))),
% multiply(A,multiply(inverse(V_3),V_3)))
% Current number of equations to process: 1312
% Current number of ordered equations: 1
% Current number of rules: 179
% New rule produced :
% [431]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),C))))),
% multiply(A,multiply(inverse(V_3),V_3))) <->
% multiply(inverse(multiply(inverse(V_4),V_4)),multiply(multiply(inverse(V_5),V_5),
% inverse(B)))
% Current number of equations to process: 1312
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [432]
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(A),
% multiply(
% inverse(V_3),V_3)))),
% multiply(inverse(a2),a2))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B)))
% Current number of equations to process: 1311
% Current number of ordered equations: 1
% Current number of rules: 181
% New rule produced :
% [433]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B))) <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(A),
% multiply(
% inverse(V_3),V_3)))),
% multiply(inverse(a2),a2)))
% Current number of equations to process: 1311
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [434]
% multiply(inverse(multiply(C,inverse(B))),multiply(C,multiply(inverse(a2),a2)))
% <->
% multiply(inverse(multiply(inverse(multiply(multiply(inverse(a2),a2),multiply(
% multiply(
% inverse(a2),a2),
% inverse(A)))),
% inverse(B))),A)
% Current number of equations to process: 1309
% Current number of ordered equations: 1
% Current number of rules: 183
% Rule [434]
% multiply(inverse(multiply(C,inverse(B))),multiply(C,multiply(inverse(a2),a2)))
% <->
% multiply(inverse(multiply(inverse(multiply(multiply(inverse(a2),a2),
% multiply(multiply(inverse(a2),a2),
% inverse(A)))),inverse(B))),A) is composed into 
% [434]
% multiply(inverse(multiply(C,inverse(B))),multiply(C,multiply(inverse(a2),a2)))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,multiply(inverse(a2),a2)))
% New rule produced :
% [435]
% multiply(inverse(multiply(inverse(multiply(multiply(inverse(a2),a2),multiply(
% multiply(
% inverse(a2),a2),
% inverse(A)))),
% inverse(B))),A) <->
% multiply(inverse(multiply(C,inverse(B))),multiply(C,multiply(inverse(a2),a2)))
% Current number of equations to process: 1309
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [436]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B))) <->
% multiply(inverse(multiply(a2,inverse(multiply(inverse(A),multiply(inverse(C),C))))),
% multiply(a2,multiply(inverse(a2),a2)))
% Current number of equations to process: 1305
% Current number of ordered equations: 1
% Current number of rules: 185
% New rule produced :
% [437]
% multiply(inverse(multiply(a2,inverse(multiply(inverse(A),multiply(inverse(C),C))))),
% multiply(a2,multiply(inverse(a2),a2))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B)))
% Current number of equations to process: 1305
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [438]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(a2),a2),
% inverse(multiply(inverse(multiply(B,
% inverse(C))),
% multiply(B,inverse(V_3))))))
% <-> multiply(inverse(inverse(V_3)),inverse(C))
% Current number of equations to process: 1304
% Current number of ordered equations: 1
% Current number of rules: 187
% New rule produced :
% [439]
% multiply(inverse(inverse(V_3)),inverse(C)) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(a2),a2),
% inverse(multiply(inverse(multiply(B,
% inverse(C))),
% multiply(B,inverse(V_3))))))
% Current number of equations to process: 1304
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [440]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(V_3),V_3))),
% inverse(B))) <->
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),C))))),
% multiply(A,multiply(inverse(a2),a2)))
% Current number of equations to process: 1302
% Current number of ordered equations: 1
% Current number of rules: 189
% New rule produced :
% [441]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),C))))),
% multiply(A,multiply(inverse(a2),a2))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(V_3),V_3))),
% inverse(B)))
% Current number of equations to process: 1302
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [442]
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(V_3),V_3))),
% inverse(multiply(inverse(V_4),V_4))))
% -> multiply(inverse(a2),a2)
% Current number of equations to process: 1299
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [443]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(B),V_4))),
% inverse(V_4))) <->
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),C))))),
% multiply(A,multiply(inverse(V_3),V_3)))
% Rule
% [436]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B))) <->
% multiply(inverse(multiply(a2,inverse(multiply(inverse(A),multiply(inverse(C),C))))),
% multiply(a2,multiply(inverse(a2),a2))) collapsed.
% Current number of equations to process: 1298
% Current number of ordered equations: 1
% Current number of rules: 191
% New rule produced :
% [444]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),C))))),
% multiply(A,multiply(inverse(V_3),V_3))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(B),V_4))),
% inverse(V_4)))
% Rule
% [437]
% multiply(inverse(multiply(a2,inverse(multiply(inverse(A),multiply(inverse(C),C))))),
% multiply(a2,multiply(inverse(a2),a2))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B))) collapsed.
% Current number of equations to process: 1298
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [445]
% multiply(inverse(multiply(V_4,inverse(V_3))),multiply(V_4,multiply(inverse(a2),a2)))
% <->
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,multiply(
% inverse(B),B))),
% multiply(A,inverse(C)))),inverse(V_3))),C)
% Current number of equations to process: 1295
% Current number of ordered equations: 1
% Current number of rules: 192
% Rule [445]
% multiply(inverse(multiply(V_4,inverse(V_3))),multiply(V_4,multiply(
% inverse(a2),a2)))
% <->
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,multiply(
% inverse(B),B))),
% multiply(A,inverse(C)))),inverse(V_3))),C) is composed into 
% [445]
% multiply(inverse(multiply(V_4,inverse(V_3))),multiply(V_4,multiply(inverse(a2),a2)))
% <->
% multiply(inverse(multiply(a2,inverse(V_3))),multiply(a2,multiply(inverse(a2),a2)))
% New rule produced :
% [446]
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,multiply(
% inverse(B),B))),
% multiply(A,inverse(C)))),inverse(V_3))),C)
% <->
% multiply(inverse(multiply(V_4,inverse(V_3))),multiply(V_4,multiply(inverse(a2),a2)))
% Current number of equations to process: 1295
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [447]
% multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,multiply(
% inverse(C),C))),
% multiply(B,inverse(A)))),inverse(V_3)))
% <->
% multiply(inverse(multiply(V_4,multiply(inverse(V_5),V_5))),multiply(V_4,
% inverse(V_3)))
% Current number of equations to process: 1295
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [448]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(V_4),V_4))),
% inverse(B))) <->
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),C))))),
% multiply(A,multiply(inverse(V_3),V_3)))
% Rule
% [440]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(V_3),V_3))),
% inverse(B))) <->
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),C))))),
% multiply(A,multiply(inverse(a2),a2))) collapsed.
% Current number of equations to process: 1291
% Current number of ordered equations: 1
% Current number of rules: 194
% New rule produced :
% [449]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),C))))),
% multiply(A,multiply(inverse(V_3),V_3))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(V_4),V_4))),
% inverse(B)))
% Rule
% [441]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),C))))),
% multiply(A,multiply(inverse(a2),a2))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(V_3),V_3))),
% inverse(B))) collapsed.
% Current number of equations to process: 1291
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [450]
% multiply(inverse(multiply(V_3,multiply(inverse(V_4),V_4))),multiply(V_3,
% inverse(A))) <->
% multiply(inverse(multiply(a2,inverse(multiply(inverse(A),multiply(inverse(B),B))))),
% multiply(a2,inverse(multiply(inverse(C),C))))
% Current number of equations to process: 1290
% Current number of ordered equations: 1
% Current number of rules: 195
% New rule produced :
% [451]
% multiply(inverse(multiply(a2,inverse(multiply(inverse(A),multiply(inverse(B),B))))),
% multiply(a2,inverse(multiply(inverse(C),C)))) <->
% multiply(inverse(multiply(V_3,multiply(inverse(V_4),V_4))),multiply(V_3,
% inverse(A)))
% Current number of equations to process: 1290
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [452]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),inverse(
% multiply(
% multiply(
% inverse(a2),a2),
% inverse(
% multiply(
% inverse(A),
% multiply(
% inverse(a2),a2)))))))
% -> multiply(inverse(a2),a2)
% Current number of equations to process: 1288
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [453]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),multiply(
% inverse(a2),a2)))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,multiply(inverse(C),C)))
% Current number of equations to process: 1390
% Current number of ordered equations: 1
% Current number of rules: 198
% New rule produced :
% [454]
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,multiply(inverse(C),C)))
% <->
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),multiply(
% inverse(a2),a2)))
% Rule
% [305]
% multiply(inverse(multiply(a2,inverse(multiply(inverse(A),A)))),multiply(a2,
% multiply(
% inverse(B),B)))
% -> multiply(inverse(a2),a2) collapsed.
% Current number of equations to process: 1390
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [455]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(C),C)))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,multiply(inverse(V_3),V_3)))
% Rule
% [327]
% multiply(inverse(multiply(C,inverse(B))),multiply(C,multiply(inverse(a2),a2)))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,multiply(inverse(a2),a2)))
% collapsed.
% Rule
% [434]
% multiply(inverse(multiply(C,inverse(B))),multiply(C,multiply(inverse(a2),a2)))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,multiply(inverse(a2),a2)))
% collapsed.
% Rule
% [445]
% multiply(inverse(multiply(V_4,inverse(V_3))),multiply(V_4,multiply(inverse(a2),a2)))
% <->
% multiply(inverse(multiply(a2,inverse(V_3))),multiply(a2,multiply(inverse(a2),a2)))
% collapsed.
% Current number of equations to process: 1391
% Current number of ordered equations: 1
% Current number of rules: 196
% New rule produced :
% [456]
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,multiply(inverse(V_3),V_3)))
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(C),C)))
% Current number of equations to process: 1391
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [457]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),multiply(
% inverse(C),C)))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,multiply(inverse(V_3),V_3)))
% Rule
% [453]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),multiply(
% inverse(a2),a2)))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,multiply(inverse(C),C)))
% collapsed.
% Current number of equations to process: 1394
% Current number of ordered equations: 1
% Current number of rules: 197
% New rule produced :
% [458]
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,multiply(inverse(V_3),V_3)))
% <->
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),multiply(
% inverse(C),C)))
% Rule
% [454]
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,multiply(inverse(C),C)))
% <->
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),multiply(
% inverse(a2),a2)))
% collapsed.
% Current number of equations to process: 1394
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [459]
% multiply(inverse(multiply(a2,inverse(multiply(inverse(A),A)))),multiply(a2,
% multiply(
% inverse(B),B)))
% -> multiply(inverse(a2),a2)
% Current number of equations to process: 1394
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [460]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% multiply(inverse(a2),a2))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(B)),inverse(
% multiply(
% inverse(C),C))))
% Current number of equations to process: 1409
% Current number of ordered equations: 1
% Current number of rules: 199
% New rule produced :
% [461]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(B)),inverse(
% multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% multiply(inverse(a2),a2)))
% Current number of equations to process: 1409
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [462]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% inverse(inverse(multiply(inverse(C),C)))))
% <-> multiply(inverse(inverse(V_3)),inverse(multiply(inverse(B),V_3)))
% Current number of equations to process: 1483
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [463]
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(B),V_3))) <->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(B),a2)))
% Current number of equations to process: 1482
% Current number of ordered equations: 1
% Current number of rules: 202
% New rule produced :
% [464]
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(B),a2))) <->
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(B),V_3)))
% Current number of equations to process: 1482
% Current number of ordered equations: 0
% Current number of rules: 203
% Rule [212]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(C),C)))
% <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(B)),
% inverse(multiply(inverse(V_4),V_4)))) is composed into 
% [212]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(C),C)))
% -> multiply(inverse(inverse(a2)),inverse(multiply(inverse(B),a2)))
% New rule produced :
% [465]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% inverse(multiply(inverse(C),C))))
% <-> multiply(inverse(inverse(V_3)),inverse(multiply(inverse(B),V_3)))
% Rule
% [113]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% inverse(multiply(inverse(C),C))))
% <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,multiply(inverse(a2),a2)))
% collapsed.
% Rule
% [119]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% inverse(multiply(inverse(C),C))))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(V_3),V_3))))
% collapsed.
% Rule
% [442]
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(V_3),V_3))),
% inverse(multiply(inverse(V_4),V_4))))
% -> multiply(inverse(a2),a2) collapsed.
% Current number of equations to process: 1499
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [466]
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(multiply(inverse(V_3),V_3)),V_3)))
% -> multiply(inverse(a2),a2)
% Current number of equations to process: 1498
% Current number of ordered equations: 0
% Current number of rules: 202
% Rule [450]
% multiply(inverse(multiply(V_3,multiply(inverse(V_4),V_4))),multiply(V_3,
% inverse(A)))
% <->
% multiply(inverse(multiply(a2,inverse(multiply(inverse(A),multiply(
% inverse(B),B))))),
% multiply(a2,inverse(multiply(inverse(C),C)))) is composed into [450]
% multiply(
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_4),V_4))),
% multiply(V_3,
% inverse(A)))
% <->
% multiply(
% inverse(
% inverse(a2)),
% inverse(
% multiply(
% inverse(
% multiply(
% inverse(A),
% multiply(
% inverse(B),B))),a2)))
% Rule [396]
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4))))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(a2),a2)))) is composed into 
% [396]
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(multiply(
% inverse(V_4),V_4))))
% -> multiply(inverse(inverse(a2)),inverse(multiply(inverse(B),a2)))
% Rule [392]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),inverse(
% multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(V_3),V_3)))) is composed into 
% [392]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),inverse(
% multiply(
% inverse(C),C))))
% -> multiply(inverse(inverse(a2)),inverse(multiply(inverse(B),a2)))
% Rule [165]
% multiply(inverse(multiply(multiply(inverse(A),A),inverse(B))),multiply(
% inverse(C),C))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(V_3),V_3)))) is composed into 
% [165]
% multiply(inverse(multiply(multiply(inverse(A),A),inverse(B))),multiply(
% inverse(C),C))
% -> multiply(inverse(inverse(a2)),inverse(multiply(inverse(B),a2)))
% New rule produced :
% [467]
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(V_3),V_3))))
% -> multiply(inverse(inverse(a2)),inverse(multiply(inverse(B),a2)))
% Rule
% [393]
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(multiply(
% inverse(V_3),V_3))))
% <->
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),inverse(
% multiply(
% inverse(C),C))))
% collapsed.
% Rule
% [451]
% multiply(inverse(multiply(a2,inverse(multiply(inverse(A),multiply(inverse(B),B))))),
% multiply(a2,inverse(multiply(inverse(C),C)))) <->
% multiply(inverse(multiply(V_3,multiply(inverse(V_4),V_4))),multiply(V_3,
% inverse(A)))
% collapsed.
% Current number of equations to process: 1498
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [468]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(B),V_3))),
% inverse(V_3))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(A),A)),
% inverse(B)))
% Current number of equations to process: 1522
% Current number of ordered equations: 1
% Current number of rules: 202
% New rule produced :
% [469]
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(A),A)),
% inverse(B))) <->
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(B),V_3))),
% inverse(V_3)))
% Current number of equations to process: 1522
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [470]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(A),V_3))),
% inverse(V_3))) <->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(inverse(A),
% multiply(inverse(B),B))),a2)))
% Current number of equations to process: 1552
% Current number of ordered equations: 1
% Current number of rules: 204
% New rule produced :
% [471]
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(inverse(A),
% multiply(inverse(B),B))),a2)))
% <->
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(A),V_3))),
% inverse(V_3)))
% Current number of equations to process: 1552
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [472]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),C))),
% inverse(C))) <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(B),V_4))),
% inverse(V_4)))
% Current number of equations to process: 1594
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [473]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,
% inverse(C)))
% <->
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(B),V_4)))),multiply(V_3,
% inverse(V_4)))
% Current number of equations to process: 1620
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [474]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(B),V_4)))),multiply(V_3,
% inverse(V_4)))
% Current number of equations to process: 1634
% Current number of ordered equations: 1
% Current number of rules: 208
% New rule produced :
% [475]
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(B),V_4)))),multiply(V_3,
% inverse(V_4)))
% <->
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C)))
% Rule
% [49]
% multiply(inverse(multiply(C,inverse(multiply(inverse(A),V_3)))),multiply(C,
% inverse(V_3)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B))) collapsed.
% Current number of equations to process: 1634
% Current number of ordered equations: 0
% Current number of rules: 208
% Rule [382]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(C),C)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(B)),multiply(
% inverse(V_3),V_3))) is composed into 
% [382]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(C),C)))
% -> multiply(inverse(inverse(a2)),inverse(multiply(inverse(B),a2)))
% Rule [263]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(A)),
% multiply(inverse(a2),a2))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),multiply(
% inverse(B),B))) is composed into 
% [263]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(A)),
% multiply(inverse(a2),a2))) ->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(A),a2)))
% Rule [237]
% multiply(inverse(C),C) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% multiply(inverse(B),B))) is composed into 
% [237]
% multiply(inverse(C),C) <->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(inverse(A),A)),a2)))
% New rule produced :
% [476]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),multiply(
% inverse(B),B)))
% -> multiply(inverse(inverse(a2)),inverse(multiply(inverse(A),a2)))
% Rule
% [364]
% multiply(multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% multiply(inverse(B),B))),multiply(
% inverse(C),C))
% <-> multiply(inverse(V_3),V_3) collapsed.
% Rule
% [383]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(B)),multiply(
% inverse(V_3),V_3)))
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(C),C)))
% collapsed.
% Rule
% [386]
% inverse(multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% multiply(inverse(B),B)))) <->
% multiply(inverse(C),C) collapsed.
% Rule
% [415]
% multiply(multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% multiply(inverse(B),B))),inverse(
% multiply(
% inverse(C),C)))
% <-> multiply(inverse(V_3),V_3) collapsed.
% Current number of equations to process: 1655
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [477]
% inverse(multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(
% inverse(A),A)),a2))))
% <-> multiply(inverse(C),C)
% Current number of equations to process: 1654
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [478]
% multiply(inverse(V_3),V_3) <->
% multiply(multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(
% inverse(A),A)),a2))),
% multiply(inverse(C),C))
% Current number of equations to process: 1652
% Current number of ordered equations: 1
% Current number of rules: 207
% Rule [478]
% multiply(inverse(V_3),V_3) <->
% multiply(multiply(inverse(inverse(a2)),inverse(multiply(inverse(
% multiply(
% inverse(A),A)),a2))),
% multiply(inverse(C),C)) is composed into [478]
% multiply(inverse(V_3),V_3) <->
% multiply(inverse(a2),a2)
% New rule produced :
% [479]
% multiply(multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(
% inverse(A),A)),a2))),
% multiply(inverse(C),C)) <-> multiply(inverse(V_3),V_3)
% Current number of equations to process: 1652
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [480]
% multiply(inverse(V_3),V_3) <->
% multiply(multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(
% inverse(A),A)),a2))),
% inverse(multiply(inverse(C),C)))
% Current number of equations to process: 1651
% Current number of ordered equations: 1
% Current number of rules: 209
% Rule [480]
% multiply(inverse(V_3),V_3) <->
% multiply(multiply(inverse(inverse(a2)),inverse(multiply(inverse(
% multiply(
% inverse(A),A)),a2))),
% inverse(multiply(inverse(C),C))) is composed into [480]
% multiply(inverse(V_3),V_3)
% <->
% multiply(inverse(a2),a2)
% New rule produced :
% [481]
% multiply(multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(
% inverse(A),A)),a2))),
% inverse(multiply(inverse(C),C))) <-> multiply(inverse(V_3),V_3)
% Current number of equations to process: 1651
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [482]
% multiply(inverse(B),B) <->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(inverse(
% inverse(a2)),
% inverse(multiply(
% multiply(
% inverse(A),A),a2)))),a2)))
% Current number of equations to process: 1654
% Current number of ordered equations: 1
% Current number of rules: 211
% Rule [482]
% multiply(inverse(B),B) <->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(
% inverse(inverse(a2)),
% inverse(multiply(
% multiply(
% inverse(A),A),a2)))),a2))) is composed into 
% [482] multiply(inverse(B),B) <-> multiply(inverse(a2),a2)
% New rule produced :
% [483]
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(inverse(
% inverse(a2)),
% inverse(multiply(
% multiply(
% inverse(A),A),a2)))),a2)))
% <-> multiply(inverse(B),B)
% Current number of equations to process: 1654
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [484]
% multiply(inverse(multiply(C,multiply(inverse(V_3),V_3))),multiply(C,inverse(B)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(A),A)),
% inverse(B)))
% Current number of equations to process: 1703
% Current number of ordered equations: 1
% Current number of rules: 213
% New rule produced :
% [485]
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(A),A)),
% inverse(B))) <->
% multiply(inverse(multiply(C,multiply(inverse(V_3),V_3))),multiply(C,inverse(B)))
% Current number of equations to process: 1703
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [486]
% multiply(inverse(multiply(B,multiply(inverse(C),C))),multiply(B,inverse(
% multiply(
% inverse(A),
% inverse(
% multiply(
% inverse(V_3),V_3))))))
% -> A
% Rule
% [287]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% multiply(
% inverse(A),
% inverse(
% multiply(
% inverse(C),C))))))
% -> A collapsed.
% Current number of equations to process: 1715
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [487]
% multiply(inverse(multiply(inverse(C),C)),multiply(multiply(inverse(V_3),V_3),
% inverse(B))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(A),A)),
% inverse(B)))
% Current number of equations to process: 1724
% Current number of ordered equations: 1
% Current number of rules: 215
% New rule produced :
% [488]
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(A),A)),
% inverse(B))) <->
% multiply(inverse(multiply(inverse(C),C)),multiply(multiply(inverse(V_3),V_3),
% inverse(B)))
% Current number of equations to process: 1724
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [489]
% multiply(inverse(C),C) <->
% multiply(multiply(inverse(A),A),multiply(inverse(multiply(a2,inverse(a2))),
% multiply(a2,inverse(multiply(multiply(
% inverse(B),B),a2)))))
% Current number of equations to process: 1747
% Current number of ordered equations: 1
% Current number of rules: 217
% Rule [489]
% multiply(inverse(C),C) <->
% multiply(multiply(inverse(A),A),multiply(inverse(multiply(a2,inverse(a2))),
% multiply(a2,inverse(multiply(multiply(
% inverse(B),B),a2))))) is composed into 
% [489] multiply(inverse(C),C) <-> multiply(inverse(a2),a2)
% New rule produced :
% [490]
% multiply(multiply(inverse(A),A),multiply(inverse(multiply(a2,inverse(a2))),
% multiply(a2,inverse(multiply(multiply(
% inverse(B),B),a2)))))
% <-> multiply(inverse(C),C)
% Current number of equations to process: 1747
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [491]
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(inverse(
% multiply(A,
% multiply(
% inverse(B),B))),
% multiply(A,inverse(C)))),a2)))
% -> inverse(C)
% Current number of equations to process: 1777
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [492]
% multiply(inverse(inverse(A)),inverse(multiply(inverse(multiply(inverse(
% multiply(B,
% inverse(
% multiply(
% inverse(C),C)))),
% multiply(B,inverse(A)))),A)))
% -> inverse(A)
% Current number of equations to process: 1788
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [493]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),multiply(
% inverse(a2),a2)))
% -> multiply(inverse(inverse(a2)),inverse(multiply(inverse(B),a2)))
% Rule
% [354]
% multiply(multiply(inverse(B),B),multiply(inverse(inverse(multiply(inverse(C),C))),
% multiply(inverse(a2),a2))) <->
% multiply(inverse(A),A) collapsed.
% Current number of equations to process: 1814
% Current number of ordered equations: 0
% Current number of rules: 220
% Rule [458]
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,multiply(inverse(V_3),V_3)))
% <->
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),multiply(
% inverse(C),C))) is composed into 
% [458]
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,multiply(inverse(V_3),V_3)))
% -> multiply(inverse(inverse(a2)),inverse(multiply(inverse(B),a2)))
% Rule [388]
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4))))
% <->
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),multiply(
% inverse(C),C))) is composed into 
% [388]
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(multiply(
% inverse(V_4),V_4))))
% -> multiply(inverse(inverse(a2)),inverse(multiply(inverse(B),a2)))
% New rule produced :
% [494]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),multiply(
% inverse(C),C)))
% -> multiply(inverse(inverse(a2)),inverse(multiply(inverse(B),a2)))
% Rule
% [373]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),multiply(
% inverse(C),C)))
% <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,multiply(inverse(a2),a2)))
% collapsed.
% Rule
% [387]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),multiply(
% inverse(C),C)))
% <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(multiply(
% inverse(V_4),V_4))))
% collapsed.
% Rule
% [457]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),multiply(
% inverse(C),C)))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,multiply(inverse(V_3),V_3)))
% collapsed.
% Rule
% [476]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),multiply(
% inverse(B),B)))
% -> multiply(inverse(inverse(a2)),inverse(multiply(inverse(A),a2))) collapsed.
% Rule
% [493]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),multiply(
% inverse(a2),a2)))
% -> multiply(inverse(inverse(a2)),inverse(multiply(inverse(B),a2))) collapsed.
% Current number of equations to process: 1813
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [495]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(B))) <->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(inverse(B),
% multiply(inverse(C),C))),a2)))
% Current number of equations to process: 1854
% Current number of ordered equations: 1
% Current number of rules: 217
% New rule produced :
% [496]
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(inverse(B),
% multiply(inverse(C),C))),a2)))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(B)))
% Current number of equations to process: 1854
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [497]
% multiply(inverse(multiply(inverse(inverse(a2)),inverse(multiply(inverse(
% multiply(
% inverse(A),
% multiply(
% inverse(B),B))),a2)))),
% inverse(multiply(inverse(C),C))) -> A
% Current number of equations to process: 1853
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [498]
% inverse(multiply(inverse(A),A)) <->
% multiply(inverse(inverse(a2)),inverse(multiply(multiply(inverse(B),B),a2)))
% Current number of equations to process: 1871
% Current number of ordered equations: 1
% Current number of rules: 220
% Rule [498]
% inverse(multiply(inverse(A),A)) <->
% multiply(inverse(inverse(a2)),inverse(multiply(multiply(inverse(B),B),a2))) is composed into 
% [498] inverse(multiply(inverse(A),A)) <-> inverse(multiply(inverse(a2),a2))
% New rule produced :
% [499]
% multiply(inverse(inverse(a2)),inverse(multiply(multiply(inverse(B),B),a2)))
% <-> inverse(multiply(inverse(A),A))
% Rule
% [483]
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(inverse(
% inverse(a2)),
% inverse(multiply(
% multiply(
% inverse(A),A),a2)))),a2)))
% <-> multiply(inverse(B),B) collapsed.
% Current number of equations to process: 1872
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [500]
% multiply(inverse(B),B) <->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(inverse(multiply(
% inverse(A),A))),a2)))
% Current number of equations to process: 1871
% Current number of ordered equations: 1
% Current number of rules: 221
% Rule [500]
% multiply(inverse(B),B) <->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(inverse(multiply(
% inverse(A),A))),a2))) is composed into 
% [500] multiply(inverse(B),B) <-> multiply(inverse(a2),a2)
% New rule produced :
% [501]
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(inverse(multiply(
% inverse(A),A))),a2)))
% <-> multiply(inverse(B),B)
% Current number of equations to process: 1871
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [502]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(C))) <->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(inverse(C),
% multiply(inverse(V_3),V_3))),a2)))
% Current number of equations to process: 1871
% Current number of ordered equations: 1
% Current number of rules: 223
% New rule produced :
% [503]
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(inverse(C),
% multiply(inverse(V_3),V_3))),a2)))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(C)))
% Current number of equations to process: 1871
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [504]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(B))) <->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(inverse(B),
% multiply(inverse(C),C))),a2)))
% Current number of equations to process: 1870
% Current number of ordered equations: 1
% Current number of rules: 225
% New rule produced :
% [505]
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(inverse(B),
% multiply(inverse(C),C))),a2)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(B)))
% Current number of equations to process: 1870
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [506]
% multiply(multiply(inverse(C),C),multiply(multiply(inverse(V_3),V_3),inverse(A)))
% <->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(inverse(A),
% multiply(inverse(B),B))),a2)))
% Current number of equations to process: 1890
% Current number of ordered equations: 1
% Current number of rules: 227
% New rule produced :
% [507]
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(inverse(A),
% multiply(inverse(B),B))),a2)))
% <->
% multiply(multiply(inverse(C),C),multiply(multiply(inverse(V_3),V_3),inverse(A)))
% Current number of equations to process: 1890
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [508]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B))) <->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(inverse(A),
% multiply(inverse(C),C))),a2)))
% Current number of equations to process: 1986
% Current number of ordered equations: 1
% Current number of rules: 229
% New rule produced :
% [509]
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(inverse(A),
% multiply(inverse(C),C))),a2)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B)))
% Current number of equations to process: 1986
% Current number of ordered equations: 0
% Current number of rules: 230
% Rule [461]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(B)),inverse(
% multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% multiply(inverse(a2),a2))) is composed into 
% [461]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(B)),inverse(
% multiply(
% inverse(C),C))))
% -> multiply(inverse(inverse(a2)),inverse(multiply(inverse(B),a2)))
% Rule [433]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(
% inverse(A),B))),
% inverse(B))) <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(A),
% multiply(
% inverse(V_3),V_3)))),
% multiply(inverse(a2),a2))) is composed into 
% [433]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B))) <->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(inverse(A),
% multiply(inverse(V_3),V_3))),a2)))
% Rule [395]
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(
% multiply(
% inverse(V_4),V_4))))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% multiply(inverse(C),C))) is composed into 
% [395]
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(multiply(
% inverse(V_4),V_4))))
% -> multiply(inverse(inverse(a2)),inverse(multiply(inverse(B),a2)))
% Rule [262]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(C),C)))
% <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(B)),
% multiply(inverse(a2),a2))) is composed into 
% [262]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(C),C)))
% -> multiply(inverse(inverse(a2)),inverse(multiply(inverse(B),a2)))
% New rule produced :
% [510]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% multiply(inverse(C),C))) ->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(B),a2)))
% Rule
% [261]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% multiply(inverse(C),C))) <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,multiply(inverse(a2),a2)))
% collapsed.
% Rule
% [263]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(A)),
% multiply(inverse(a2),a2))) ->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(A),a2))) collapsed.
% Rule
% [335]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% multiply(inverse(B),B))) ->
% multiply(inverse(a2),a2) collapsed.
% Rule
% [394]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% multiply(inverse(C),C))) <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(multiply(
% inverse(V_4),V_4))))
% collapsed.
% Rule
% [432]
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(A),
% multiply(
% inverse(V_3),V_3)))),
% multiply(inverse(a2),a2))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B))) collapsed.
% Rule
% [460]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% multiply(inverse(a2),a2))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(B)),inverse(
% multiply(
% inverse(C),C))))
% collapsed.
% Current number of equations to process: 1987
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [511]
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(C),C)),
% inverse(A))) <->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(inverse(A),
% multiply(inverse(B),B))),a2)))
% Current number of equations to process: 1996
% Current number of ordered equations: 1
% Current number of rules: 226
% New rule produced :
% [512]
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(inverse(A),
% multiply(inverse(B),B))),a2)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(C),C)),
% inverse(A)))
% Current number of equations to process: 1996
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [513]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(V_3),V_3)),
% inverse(B)))
% Rule
% [398]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(A),A)),
% inverse(B))) collapsed.
% Current number of equations to process: 2004
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [514]
% multiply(inverse(multiply(inverse(multiply(multiply(inverse(A),A),multiply(
% multiply(
% inverse(B),B),
% inverse(C)))),
% inverse(V_3))),C) ->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(V_3),a2)))
% Rule
% [435]
% multiply(inverse(multiply(inverse(multiply(multiply(inverse(a2),a2),multiply(
% multiply(
% inverse(a2),a2),
% inverse(A)))),
% inverse(B))),A) <->
% multiply(inverse(multiply(C,inverse(B))),multiply(C,multiply(inverse(a2),a2)))
% collapsed.
% Current number of equations to process: 2009
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [515]
% multiply(multiply(inverse(B),B),multiply(inverse(inverse(multiply(inverse(C),C))),
% inverse(A))) <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(A)))
% Current number of equations to process: 2020
% Current number of ordered equations: 1
% Current number of rules: 228
% New rule produced :
% [516]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(A)))
% <->
% multiply(multiply(inverse(B),B),multiply(inverse(inverse(multiply(inverse(C),C))),
% inverse(A)))
% Current number of equations to process: 2020
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [517]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(C))) <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(V_4),V_4))),
% inverse(C)))
% Rule
% [407]
% multiply(inverse(multiply(inverse(C),C)),multiply(multiply(inverse(V_3),V_3),
% inverse(B))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(B))) collapsed.
% Current number of equations to process: 2023
% Current number of ordered equations: 1
% Current number of rules: 229
% New rule produced :
% [518]
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(V_4),V_4))),
% inverse(C))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(C)))
% Rule
% [408]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(B))) <->
% multiply(inverse(multiply(inverse(C),C)),multiply(multiply(inverse(V_3),V_3),
% inverse(B))) collapsed.
% Current number of equations to process: 2023
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [519]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,
% inverse(C)))
% <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(V_4),V_4))),
% inverse(B)))
% Rule
% [177]
% multiply(inverse(multiply(C,inverse(multiply(inverse(B),V_3)))),multiply(C,
% inverse(V_3)))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(B))) collapsed.
% Current number of equations to process: 2031
% Current number of ordered equations: 1
% Current number of rules: 229
% New rule produced :
% [520]
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(V_4),V_4))),
% inverse(B))) <->
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,
% inverse(C)))
% Rule
% [176]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(B))) <->
% multiply(inverse(multiply(C,inverse(multiply(inverse(B),V_3)))),multiply(C,
% inverse(V_3)))
% collapsed.
% Current number of equations to process: 2031
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [521]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(V_3),V_3))),
% inverse(A))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B)))
% Rule
% [306]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(C),C))),
% inverse(A))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B))) collapsed.
% Current number of equations to process: 2032
% Current number of ordered equations: 1
% Current number of rules: 229
% New rule produced :
% [522]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B))) <->
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(V_3),V_3))),
% inverse(A)))
% Current number of equations to process: 2032
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [523]
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(A),A)),
% inverse(multiply(inverse(B),multiply(
% inverse(a2),a2)))))
% -> B
% Current number of equations to process: 2043
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [524]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),C))),
% inverse(C))) <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(V_4),V_4))),
% inverse(B)))
% Rule
% [311]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),C))),
% inverse(C))) <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(V_3),V_3))),
% inverse(B))) collapsed.
% Current number of equations to process: 2041
% Current number of ordered equations: 1
% Current number of rules: 231
% New rule produced :
% [525]
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(V_4),V_4))),
% inverse(B))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),C))),
% inverse(C)))
% Rule
% [312]
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(V_3),V_3))),
% inverse(B))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),C))),
% inverse(C))) collapsed.
% Current number of equations to process: 2041
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [526]
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(A),A)),
% inverse(multiply(inverse(B),multiply(
% inverse(C),C)))))
% -> B
% Rule
% [405]
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(A),A)),
% inverse(multiply(inverse(B),multiply(
% inverse(A),A)))))
% -> B collapsed.
% Rule
% [523]
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(A),A)),
% inverse(multiply(inverse(B),multiply(
% inverse(a2),a2)))))
% -> B collapsed.
% Current number of equations to process: 2042
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [527]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(multiply(inverse(B),
% multiply(inverse(C),C)))))
% -> B
% Current number of equations to process: 2042
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [528]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(multiply(inverse(B),multiply(
% inverse(C),C)))))
% -> B
% Current number of equations to process: 2073
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [529]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),inverse(
% inverse(
% multiply(
% inverse(C),C)))))
% <-> multiply(inverse(inverse(V_3)),inverse(multiply(inverse(B),V_3)))
% Current number of equations to process: 2077
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [530]
% multiply(multiply(inverse(V_3),V_3),inverse(C)) <->
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% multiply(
% inverse(
% inverse(a2)),
% inverse(
% multiply(
% inverse(C),a2))))))
% Current number of equations to process: 2190
% Current number of ordered equations: 1
% Current number of rules: 234
% New rule produced :
% [531]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% multiply(
% inverse(
% inverse(a2)),
% inverse(
% multiply(
% inverse(C),a2))))))
% <-> multiply(multiply(inverse(V_3),V_3),inverse(C))
% Current number of equations to process: 2190
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [532]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% multiply(
% inverse(C),C),
% inverse(multiply(
% inverse(B),
% multiply(
% inverse(a2),a2)))))))
% -> multiply(inverse(a2),a2)
% Rule
% [320]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% multiply(
% inverse(a2),a2),
% inverse(multiply(
% inverse(B),
% multiply(
% inverse(a2),a2)))))))
% -> multiply(inverse(a2),a2) collapsed.
% Current number of equations to process: 2248
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [533]
% multiply(inverse(V_3),V_3) <->
% multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,
% inverse(C)))),
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(C))))
% Current number of equations to process: 2244
% Current number of ordered equations: 3
% Current number of rules: 236
% New rule produced :
% [534]
% multiply(inverse(V_3),V_3) <->
% multiply(inverse(multiply(inverse(multiply(a2,inverse(A))),multiply(a2,
% inverse(B)))),
% multiply(inverse(multiply(C,inverse(A))),multiply(C,inverse(B))))
% Current number of equations to process: 2244
% Current number of ordered equations: 2
% Current number of rules: 237
% Rule [533]
% multiply(inverse(V_3),V_3) <->
% multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,
% inverse(C)))),
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(C)))) is composed into 
% [533] multiply(inverse(V_3),V_3) <-> multiply(inverse(a2),a2)
% New rule produced :
% [535]
% multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,
% inverse(C)))),
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(C)))) <->
% multiply(inverse(V_3),V_3)
% Current number of equations to process: 2244
% Current number of ordered equations: 1
% Current number of rules: 238
% Rule [534]
% multiply(inverse(V_3),V_3) <->
% multiply(inverse(multiply(inverse(multiply(a2,inverse(A))),multiply(a2,
% inverse(B)))),
% multiply(inverse(multiply(C,inverse(A))),multiply(C,inverse(B)))) is composed into 
% [534] multiply(inverse(V_3),V_3) <-> multiply(inverse(a2),a2)
% New rule produced :
% [536]
% multiply(inverse(multiply(inverse(multiply(a2,inverse(A))),multiply(a2,
% inverse(B)))),
% multiply(inverse(multiply(C,inverse(A))),multiply(C,inverse(B)))) <->
% multiply(inverse(V_3),V_3)
% Current number of equations to process: 2244
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [537]
% multiply(inverse(V_3),V_3) <->
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,multiply(
% inverse(
% inverse(a2)),
% inverse(
% multiply(
% inverse(
% multiply(
% inverse(C),C)),a2)))))
% Current number of equations to process: 2243
% Current number of ordered equations: 1
% Current number of rules: 240
% Rule [537]
% multiply(inverse(V_3),V_3) <->
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,
% multiply(inverse(
% inverse(a2)),
% inverse(multiply(
% inverse(
% multiply(
% inverse(C),C)),a2))))) is composed into 
% [537] multiply(inverse(V_3),V_3) <-> multiply(inverse(a2),a2)
% New rule produced :
% [538]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,multiply(
% inverse(
% inverse(a2)),
% inverse(
% multiply(
% inverse(
% multiply(
% inverse(C),C)),a2)))))
% <-> multiply(inverse(V_3),V_3)
% Current number of equations to process: 2243
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [539]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(inverse(a2)),
% inverse(multiply(inverse(C),a2))))))
% <-> multiply(multiply(inverse(V_3),V_3),inverse(C))
% Current number of equations to process: 2242
% Current number of ordered equations: 1
% Current number of rules: 242
% New rule produced :
% [540]
% multiply(multiply(inverse(V_3),V_3),inverse(C)) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(inverse(a2)),
% inverse(multiply(inverse(C),a2))))))
% Current number of equations to process: 2242
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [541]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(
% inverse(a2)),
% inverse(multiply(
% inverse(multiply(
% inverse(C),C)),a2)))))
% -> multiply(inverse(inverse(a2)),inverse(multiply(inverse(B),a2)))
% Current number of equations to process: 2241
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [542]
% multiply(multiply(inverse(C),C),inverse(B)) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(A),A)),
% inverse(multiply(inverse(inverse(a2)),
% inverse(multiply(inverse(B),a2))))))
% Current number of equations to process: 2240
% Current number of ordered equations: 1
% Current number of rules: 245
% Rule [542]
% multiply(multiply(inverse(C),C),inverse(B)) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(A),A)),
% inverse(multiply(inverse(inverse(a2)),
% inverse(multiply(inverse(B),a2)))))) is composed into 
% [542]
% multiply(multiply(inverse(C),C),inverse(B)) <->
% multiply(multiply(inverse(a2),a2),inverse(B))
% New rule produced :
% [543]
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(A),A)),
% inverse(multiply(inverse(inverse(a2)),
% inverse(multiply(inverse(B),a2))))))
% <-> multiply(multiply(inverse(C),C),inverse(B))
% Current number of equations to process: 2240
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [544]
% multiply(inverse(multiply(inverse(multiply(multiply(inverse(a2),a2),multiply(
% inverse(
% multiply(
% inverse(A),A)),
% inverse(B)))),
% inverse(C))),B) ->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(C),a2)))
% Current number of equations to process: 2239
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [545]
% multiply(inverse(inverse(multiply(inverse(V_3),V_3))),inverse(C)) <->
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% multiply(
% inverse(
% inverse(a2)),
% inverse(
% multiply(
% inverse(C),a2))))))
% Current number of equations to process: 2238
% Current number of ordered equations: 1
% Current number of rules: 248
% New rule produced :
% [546]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% multiply(
% inverse(
% inverse(a2)),
% inverse(
% multiply(
% inverse(C),a2))))))
% <-> multiply(inverse(inverse(multiply(inverse(V_3),V_3))),inverse(C))
% Current number of equations to process: 2238
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [547]
% multiply(inverse(V_3),V_3) <->
% multiply(multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(
% inverse(A),A)),a2))),
% multiply(multiply(inverse(B),B),inverse(multiply(inverse(C),C))))
% Current number of equations to process: 2236
% Current number of ordered equations: 1
% Current number of rules: 250
% Rule [547]
% multiply(inverse(V_3),V_3) <->
% multiply(multiply(inverse(inverse(a2)),inverse(multiply(inverse(
% multiply(
% inverse(A),A)),a2))),
% multiply(multiply(inverse(B),B),inverse(multiply(inverse(C),C)))) is composed into 
% [547] multiply(inverse(V_3),V_3) <-> multiply(inverse(a2),a2)
% New rule produced :
% [548]
% multiply(multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(
% inverse(A),A)),a2))),
% multiply(multiply(inverse(B),B),inverse(multiply(inverse(C),C)))) <->
% multiply(inverse(V_3),V_3)
% Current number of equations to process: 2236
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [549]
% multiply(inverse(A),multiply(inverse(multiply(multiply(inverse(B),B),
% multiply(multiply(inverse(C),C),
% inverse(A)))),inverse(V_3))) <->
% multiply(inverse(multiply(V_4,multiply(inverse(V_5),V_5))),multiply(V_4,
% inverse(V_3)))
% Current number of equations to process: 2236
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [550]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(multiply(C,
% inverse(V_3))),
% multiply(C,inverse(V_4))))))
% <-> multiply(inverse(inverse(V_4)),inverse(V_3))
% Rule
% [438]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(a2),a2),
% inverse(multiply(inverse(multiply(B,
% inverse(C))),
% multiply(B,inverse(V_3))))))
% <-> multiply(inverse(inverse(V_3)),inverse(C)) collapsed.
% Current number of equations to process: 2225
% Current number of ordered equations: 1
% Current number of rules: 252
% New rule produced :
% [551]
% multiply(inverse(inverse(V_4)),inverse(V_3)) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(multiply(C,
% inverse(V_3))),
% multiply(C,inverse(V_4))))))
% Rule
% [439]
% multiply(inverse(inverse(V_3)),inverse(C)) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(a2),a2),
% inverse(multiply(inverse(multiply(B,
% inverse(C))),
% multiply(B,inverse(V_3))))))
% collapsed.
% Current number of equations to process: 2225
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [552]
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(A),A)),
% inverse(multiply(inverse(multiply(B,
% inverse(C))),
% multiply(B,inverse(V_3)))))) <->
% multiply(inverse(inverse(V_3)),inverse(C))
% Current number of equations to process: 2223
% Current number of ordered equations: 1
% Current number of rules: 253
% New rule produced :
% [553]
% multiply(inverse(inverse(V_3)),inverse(C)) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(A),A)),
% inverse(multiply(inverse(multiply(B,
% inverse(C))),
% multiply(B,inverse(V_3))))))
% Current number of equations to process: 2223
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [554]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% multiply(
% multiply(
% inverse(a2),a2),
% multiply(
% inverse(
% inverse(C)),
% inverse(V_3))))))
% <-> multiply(inverse(inverse(V_3)),inverse(C))
% Current number of equations to process: 2220
% Current number of ordered equations: 1
% Current number of rules: 255
% New rule produced :
% [555]
% multiply(inverse(inverse(V_3)),inverse(C)) <->
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% multiply(
% multiply(
% inverse(a2),a2),
% multiply(
% inverse(
% inverse(C)),
% inverse(V_3))))))
% Current number of equations to process: 2220
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [556]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(multiply(inverse(multiply(B,
% inverse(C))),
% multiply(B,inverse(V_3))))))
% <-> multiply(inverse(inverse(V_3)),inverse(C))
% Current number of equations to process: 2219
% Current number of ordered equations: 1
% Current number of rules: 257
% New rule produced :
% [557]
% multiply(inverse(inverse(V_3)),inverse(C)) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(multiply(inverse(multiply(B,
% inverse(C))),
% multiply(B,inverse(V_3))))))
% Current number of equations to process: 2219
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [558]
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(A))) <->
% multiply(inverse(multiply(inverse(inverse(A)),inverse(B))),inverse(multiply(
% inverse(C),C)))
% Current number of equations to process: 2224
% Current number of ordered equations: 1
% Current number of rules: 259
% Rule [558]
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(A))) <->
% multiply(inverse(multiply(inverse(inverse(A)),inverse(B))),inverse(
% multiply(
% inverse(C),C))) is composed into 
% [558]
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(A))) <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,inverse(A)))
% New rule produced :
% [559]
% multiply(inverse(multiply(inverse(inverse(A)),inverse(B))),inverse(multiply(
% inverse(C),C)))
% <-> multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(A)))
% Rule
% [497]
% multiply(inverse(multiply(inverse(inverse(a2)),inverse(multiply(inverse(
% multiply(
% inverse(A),
% multiply(
% inverse(B),B))),a2)))),
% inverse(multiply(inverse(C),C))) -> A collapsed.
% Current number of equations to process: 2224
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [560]
% multiply(inverse(inverse(multiply(inverse(V_3),V_3))),inverse(multiply(
% inverse(V_4),V_4)))
% <->
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% inverse(
% multiply(
% inverse(C),C)))))
% Current number of equations to process: 2245
% Current number of ordered equations: 1
% Current number of rules: 260
% New rule produced :
% [561]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% inverse(
% multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(inverse(multiply(inverse(V_3),V_3))),inverse(multiply(
% inverse(V_4),V_4)))
% Current number of equations to process: 2245
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [562]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(
% multiply(
% multiply(
% inverse(B),B),
% inverse(
% multiply(
% inverse(C),C))))))
% -> multiply(inverse(B),B)
% Current number of equations to process: 2349
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [563]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(a2),a2),
% inverse(multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),C))))))
% -> multiply(inverse(B),B)
% Current number of equations to process: 2347
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [564]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% multiply(
% multiply(
% inverse(C),C),
% inverse(
% multiply(
% inverse(V_3),V_3))))))
% -> multiply(inverse(C),C)
% Current number of equations to process: 2350
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [565]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(multiply(multiply(inverse(C),C),
% inverse(multiply(inverse(V_3),V_3))))))
% -> multiply(inverse(B),B)
% Rule
% [420]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),C))))))
% -> multiply(inverse(B),B) collapsed.
% Rule
% [563]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(a2),a2),
% inverse(multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),C))))))
% -> multiply(inverse(B),B) collapsed.
% Current number of equations to process: 2348
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [566]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,
% inverse(C)))
% <->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(inverse(B),
% multiply(inverse(V_3),V_3))),a2)))
% Current number of equations to process: 2352
% Current number of ordered equations: 1
% Current number of rules: 264
% Rule [566]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,
% inverse(C)))
% <->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(
% inverse(B),
% multiply(
% inverse(V_3),V_3))),a2))) is composed into 
% [566]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,
% inverse(C)))
% <->
% multiply(inverse(multiply(a2,inverse(multiply(inverse(B),a2)))),multiply(a2,
% inverse(a2)))
% Rule [511]
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(C),C)),
% inverse(A))) <->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(
% inverse(A),
% multiply(
% inverse(B),B))),a2))) is composed into 
% [511]
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(C),C)),
% inverse(A))) <->
% multiply(inverse(multiply(a2,inverse(multiply(inverse(A),a2)))),multiply(a2,
% inverse(a2)))
% Rule [508]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(
% inverse(A),B))),
% inverse(B))) <->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(
% inverse(A),
% multiply(
% inverse(C),C))),a2))) is composed into 
% [508]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B))) <->
% multiply(inverse(multiply(A,inverse(multiply(inverse(A),C)))),multiply(A,
% inverse(C)))
% Rule [506]
% multiply(multiply(inverse(C),C),multiply(multiply(inverse(V_3),V_3),
% inverse(A))) <->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(
% inverse(A),
% multiply(
% inverse(B),B))),a2))) is composed into 
% [506]
% multiply(multiply(inverse(C),C),multiply(multiply(inverse(V_3),V_3),inverse(A)))
% <->
% multiply(inverse(multiply(a2,inverse(multiply(inverse(A),a2)))),multiply(a2,
% inverse(a2)))
% Rule [504]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(B))) <->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(
% inverse(B),
% multiply(
% inverse(C),C))),a2))) is composed into 
% [504]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(B))) <->
% multiply(inverse(multiply(a2,inverse(multiply(inverse(B),a2)))),multiply(a2,
% inverse(a2)))
% Rule [502]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(C))) <->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(
% inverse(C),
% multiply(
% inverse(V_3),V_3))),a2))) is composed into 
% [502]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(C))) <->
% multiply(inverse(multiply(a2,inverse(multiply(inverse(C),a2)))),multiply(a2,
% inverse(a2)))
% Rule [495]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(
% multiply(
% inverse(A),A))),
% inverse(B))) <->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(
% inverse(B),
% multiply(
% inverse(C),C))),a2))) is composed into 
% [495]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(B))) <->
% multiply(inverse(multiply(a2,inverse(multiply(inverse(B),a2)))),multiply(a2,
% inverse(a2)))
% Rule [470]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(
% multiply(
% inverse(A),V_3))),
% inverse(V_3))) <->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(
% inverse(A),
% multiply(
% inverse(B),B))),a2))) is composed into 
% [470]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(A),V_3))),
% inverse(V_3))) <->
% multiply(inverse(multiply(a2,inverse(multiply(inverse(A),a2)))),multiply(a2,
% inverse(a2)))
% Rule [450]
% multiply(inverse(multiply(V_3,multiply(inverse(V_4),V_4))),multiply(V_3,
% inverse(A)))
% <->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(
% inverse(A),
% multiply(
% inverse(B),B))),a2))) is composed into 
% [450]
% multiply(inverse(multiply(V_3,multiply(inverse(V_4),V_4))),multiply(V_3,
% inverse(A))) <->
% multiply(inverse(multiply(a2,inverse(multiply(inverse(A),a2)))),multiply(a2,
% inverse(a2)))
% Rule [433]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(
% inverse(A),B))),
% inverse(B))) <->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(
% inverse(A),
% multiply(
% inverse(V_3),V_3))),a2))) is composed into 
% [433]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B))) <->
% multiply(inverse(multiply(a2,inverse(multiply(inverse(A),a2)))),multiply(a2,
% inverse(a2)))
% New rule produced :
% [567]
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(inverse(B),
% multiply(inverse(V_3),V_3))),a2)))
% <->
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,
% inverse(C)))
% Rule
% [471]
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(inverse(A),
% multiply(inverse(B),B))),a2)))
% <->
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(A),V_3))),
% inverse(V_3))) collapsed.
% Rule
% [496]
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(inverse(B),
% multiply(inverse(C),C))),a2)))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(B))) collapsed.
% Rule
% [503]
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(inverse(C),
% multiply(inverse(V_3),V_3))),a2)))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(C))) collapsed.
% Rule
% [505]
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(inverse(B),
% multiply(inverse(C),C))),a2)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(B))) collapsed.
% Rule
% [507]
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(inverse(A),
% multiply(inverse(B),B))),a2)))
% <->
% multiply(multiply(inverse(C),C),multiply(multiply(inverse(V_3),V_3),inverse(A)))
% collapsed.
% Rule
% [509]
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(inverse(A),
% multiply(inverse(C),C))),a2)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B))) collapsed.
% Rule
% [512]
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(inverse(A),
% multiply(inverse(B),B))),a2)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(C),C)),
% inverse(A))) collapsed.
% Current number of equations to process: 2352
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [568]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(
% inverse(a2)),
% inverse(
% multiply(
% inverse(C),a2))))))
% <-> multiply(multiply(inverse(V_3),V_3),inverse(C))
% Current number of equations to process: 2479
% Current number of ordered equations: 1
% Current number of rules: 259
% New rule produced :
% [569]
% multiply(multiply(inverse(V_3),V_3),inverse(C)) <->
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(
% inverse(a2)),
% inverse(
% multiply(
% inverse(C),a2))))))
% Current number of equations to process: 2479
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [570]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(
% multiply(C,
% inverse(V_3))),
% multiply(C,
% inverse(V_4))))))
% <-> multiply(inverse(inverse(V_4)),inverse(V_3))
% Rule
% [426]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(a2),a2),inverse(
% multiply(
% inverse(
% multiply(B,
% inverse(C))),
% multiply(B,
% inverse(V_3))))))
% <-> multiply(inverse(inverse(V_3)),inverse(C)) collapsed.
% Current number of equations to process: 2478
% Current number of ordered equations: 1
% Current number of rules: 260
% New rule produced :
% [571]
% multiply(inverse(inverse(V_4)),inverse(V_3)) <->
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(
% multiply(C,
% inverse(V_3))),
% multiply(C,
% inverse(V_4))))))
% Rule
% [427]
% multiply(inverse(inverse(V_3)),inverse(C)) <->
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(a2),a2),inverse(
% multiply(
% inverse(
% multiply(B,
% inverse(C))),
% multiply(B,
% inverse(V_3))))))
% collapsed.
% Current number of equations to process: 2492
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [572]
% multiply(inverse(inverse(multiply(inverse(C),C))),inverse(B)) <->
% multiply(multiply(inverse(a2),a2),inverse(B))
% Current number of equations to process: 2493
% Current number of ordered equations: 1
% Current number of rules: 261
% New rule produced :
% [573]
% multiply(multiply(inverse(a2),a2),inverse(B)) <->
% multiply(inverse(inverse(multiply(inverse(C),C))),inverse(B))
% Current number of equations to process: 2493
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [574]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(a2),a2),inverse(
% multiply(
% multiply(
% inverse(a2),a2),
% multiply(
% inverse(
% inverse(B)),
% inverse(C))))))
% <-> multiply(inverse(inverse(C)),inverse(B))
% Current number of equations to process: 2492
% Current number of ordered equations: 1
% Current number of rules: 263
% New rule produced :
% [575]
% multiply(inverse(inverse(C)),inverse(B)) <->
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(a2),a2),inverse(
% multiply(
% multiply(
% inverse(a2),a2),
% multiply(
% inverse(
% inverse(B)),
% inverse(C))))))
% Current number of equations to process: 2492
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [576]
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(V_4),V_4)))),multiply(V_3,
% inverse(B)))
% <->
% multiply(inverse(multiply(a2,inverse(multiply(inverse(B),a2)))),multiply(a2,
% inverse(a2)))
% Current number of equations to process: 2473
% Current number of ordered equations: 1
% Current number of rules: 265
% New rule produced :
% [577]
% multiply(inverse(multiply(a2,inverse(multiply(inverse(B),a2)))),multiply(a2,
% inverse(a2)))
% <->
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(V_4),V_4)))),multiply(V_3,
% inverse(B)))
% Current number of equations to process: 2473
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [578]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% multiply(C,
% multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(V_4,multiply(inverse(V_5),V_5))),multiply(V_4,
% inverse(multiply(C,
% multiply(
% inverse(V_6),V_6)))))
% Current number of equations to process: 2458
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [579]
% multiply(inverse(multiply(inverse(multiply(multiply(inverse(A),A),multiply(
% inverse(
% inverse(
% multiply(
% inverse(B),C))),
% inverse(C)))),
% inverse(V_3))),B) ->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(V_3),a2)))
% Current number of equations to process: 2457
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [580]
% multiply(multiply(inverse(V_4),V_4),multiply(multiply(inverse(V_5),V_5),
% inverse(multiply(C,multiply(inverse(V_6),V_6)))))
% <->
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% multiply(C,
% multiply(
% inverse(V_3),V_3)))))
% Current number of equations to process: 2455
% Current number of ordered equations: 1
% Current number of rules: 269
% New rule produced :
% [581]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% multiply(C,
% multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(multiply(inverse(V_4),V_4),multiply(multiply(inverse(V_5),V_5),
% inverse(multiply(C,multiply(inverse(V_6),V_6)))))
% Current number of equations to process: 2455
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [582]
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(multiply(
% inverse(a2),a2),
% multiply(multiply(
% inverse(a2),a2),
% inverse(A)))),a2))) ->
% inverse(A)
% Current number of equations to process: 2512
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [583]
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),A)),
% multiply(multiply(inverse(B),B),inverse(C)))),
% inverse(V_3))),C) ->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(V_3),a2)))
% Current number of equations to process: 2548
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [584]
% multiply(inverse(multiply(inverse(multiply(multiply(inverse(a2),a2),multiply(
% inverse(
% inverse(
% multiply(
% inverse(A),A))),
% inverse(B)))),
% inverse(C))),B) ->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(C),a2)))
% Current number of equations to process: 2600
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [585]
% multiply(inverse(inverse(A)),inverse(multiply(multiply(inverse(B),B),A))) ->
% multiply(inverse(a2),a2)
% Rule
% [499]
% multiply(inverse(inverse(a2)),inverse(multiply(multiply(inverse(B),B),a2)))
% <-> inverse(multiply(inverse(A),A)) collapsed.
% Current number of equations to process: 2654
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [586]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(inverse(multiply(inverse(C),C)))))
% <->
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(multiply(inverse(V_4),V_4)),V_3)))
% Current number of equations to process: 2654
% Current number of ordered equations: 1
% Current number of rules: 274
% New rule produced :
% [587]
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(multiply(inverse(V_4),V_4)),V_3)))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(inverse(multiply(inverse(C),C)))))
% Current number of equations to process: 2654
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [588]
% multiply(inverse(inverse(C)),inverse(multiply(inverse(multiply(inverse(A),
% inverse(multiply(
% inverse(V_3),V_3)))),C)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B)))
% Current number of equations to process: 2653
% Current number of ordered equations: 1
% Current number of rules: 276
% New rule produced :
% [589]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B))) <->
% multiply(inverse(inverse(C)),inverse(multiply(inverse(multiply(inverse(A),
% inverse(multiply(
% inverse(V_3),V_3)))),C)))
% Current number of equations to process: 2653
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [590]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(inverse(multiply(
% inverse(C),C)))))
% <-> multiply(inverse(inverse(V_3)),inverse(multiply(inverse(B),V_3)))
% Current number of equations to process: 2653
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [591]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(C))) <->
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(multiply(inverse(C),
% inverse(multiply(
% inverse(V_4),V_4)))),V_3)))
% Current number of equations to process: 2654
% Current number of ordered equations: 1
% Current number of rules: 279
% New rule produced :
% [592]
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(multiply(inverse(C),
% inverse(multiply(
% inverse(V_4),V_4)))),V_3)))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(C)))
% Current number of equations to process: 2654
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [593]
% multiply(inverse(inverse(A)),multiply(inverse(a2),a2)) <->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(A),a2)))
% Current number of equations to process: 2656
% Current number of ordered equations: 1
% Current number of rules: 281
% New rule produced :
% [594]
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(A),a2))) <->
% multiply(inverse(inverse(A)),multiply(inverse(a2),a2))
% Current number of equations to process: 2656
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [595]
% multiply(inverse(B),B) <->
% multiply(inverse(multiply(inverse(inverse(a2)),inverse(multiply(inverse(A),a2)))),
% multiply(inverse(inverse(A)),multiply(inverse(a2),a2)))
% Current number of equations to process: 2657
% Current number of ordered equations: 1
% Current number of rules: 283
% Rule [595]
% multiply(inverse(B),B) <->
% multiply(inverse(multiply(inverse(inverse(a2)),inverse(multiply(
% inverse(A),a2)))),
% multiply(inverse(inverse(A)),multiply(inverse(a2),a2))) is composed into 
% [595] multiply(inverse(B),B) <-> multiply(inverse(a2),a2)
% New rule produced :
% [596]
% multiply(inverse(multiply(inverse(inverse(a2)),inverse(multiply(inverse(A),a2)))),
% multiply(inverse(inverse(A)),multiply(inverse(a2),a2))) <->
% multiply(inverse(B),B)
% Current number of equations to process: 2657
% Current number of ordered equations: 0
% Current number of rules: 284
% Rule [573]
% multiply(multiply(inverse(a2),a2),inverse(B)) <->
% multiply(inverse(inverse(multiply(inverse(C),C))),inverse(B)) is composed into 
% [573] multiply(multiply(inverse(a2),a2),inverse(B)) -> inverse(B)
% Rule [561]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,
% inverse(inverse(
% multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(inverse(multiply(inverse(V_3),V_3))),inverse(multiply(
% inverse(V_4),V_4))) is composed into 
% [561]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% inverse(
% multiply(
% inverse(C),C)))))
% <-> inverse(multiply(inverse(V_4),V_4))
% Rule [557]
% multiply(inverse(inverse(V_3)),inverse(C)) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(
% multiply(
% inverse(A),A))),
% inverse(multiply(inverse(
% multiply(B,
% inverse(C))),
% multiply(B,inverse(V_3)))))) is composed into 
% [557]
% multiply(inverse(inverse(V_3)),inverse(C)) <->
% multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(multiply(B,
% inverse(C))),
% multiply(B,inverse(V_3)))))
% Rule [546]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,
% inverse(multiply(
% inverse(
% inverse(a2)),
% inverse(
% multiply(
% inverse(C),a2))))))
% <-> multiply(inverse(inverse(multiply(inverse(V_3),V_3))),inverse(C)) is composed into 
% [546]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% multiply(
% inverse(
% inverse(a2)),
% inverse(
% multiply(
% inverse(C),a2))))))
% -> inverse(C)
% Rule [524]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(
% multiply(
% inverse(B),C))),
% inverse(C))) <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(V_4),V_4))),
% inverse(B))) is composed into 
% [524]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),C))),
% inverse(C))) <->
% multiply(inverse(multiply(inverse(V_3),V_3)),inverse(B))
% Rule [522]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(
% inverse(A),B))),
% inverse(B))) <->
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(
% multiply(
% inverse(V_3),V_3))),
% inverse(A))) is composed into 
% [522]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B))) <->
% multiply(inverse(multiply(inverse(C),C)),inverse(A))
% Rule [519]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,
% inverse(C)))
% <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(V_4),V_4))),
% inverse(B))) is composed into 
% [519]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,
% inverse(C)))
% <-> multiply(inverse(multiply(inverse(V_3),V_3)),inverse(B))
% Rule [517]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(C))) <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(V_4),V_4))),
% inverse(C))) is composed into 
% [517]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(C))) <->
% multiply(inverse(multiply(inverse(V_3),V_3)),inverse(C))
% Rule [516]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),
% inverse(A))) <->
% multiply(multiply(inverse(B),B),multiply(inverse(inverse(multiply(
% inverse(C),C))),
% inverse(A))) is composed into [516]
% multiply(
% multiply(
% inverse(a2),a2),
% multiply(
% multiply(
% inverse(a2),a2),
% inverse(A)))
% <->
% multiply(
% multiply(
% inverse(B),B),
% inverse(A))
% Rule [449]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(
% inverse(C),C))))),
% multiply(A,multiply(inverse(V_3),V_3))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(
% inverse(V_4),V_4))),
% inverse(B))) is composed into 
% [449]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),C))))),
% multiply(A,multiply(inverse(V_3),V_3))) <->
% multiply(multiply(inverse(a2),a2),inverse(B))
% Rule [423]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(
% inverse(B),C))),
% inverse(C))) <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(V_3),V_3))),
% inverse(B))) is composed into 
% [423]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(inverse(multiply(inverse(V_3),V_3)),inverse(B))
% Rule [402]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,
% inverse(C))) <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(V_4),V_4))),
% inverse(C))) is composed into 
% [402]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(C)))
% <-> multiply(inverse(multiply(inverse(V_3),V_3)),inverse(C))
% Rule [390]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,
% inverse(C))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(
% inverse(V_3),V_3))),
% inverse(C))) is composed into 
% [390]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(C)))
% <-> multiply(multiply(inverse(a2),a2),inverse(C))
% Rule [366]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),
% inverse(C))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(
% inverse(V_3),V_3))),
% inverse(C))) is composed into 
% [366]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(C)))
% <-> multiply(multiply(inverse(a2),a2),inverse(C))
% Rule [321]
% multiply(inverse(multiply(inverse(C),C)),multiply(multiply(inverse(V_3),V_3),
% inverse(B))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(B))) is composed into 
% [321]
% multiply(inverse(multiply(inverse(C),C)),multiply(multiply(inverse(V_3),V_3),
% inverse(B))) <->
% multiply(multiply(inverse(a2),a2),inverse(B))
% Rule [316]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(
% inverse(B),C))),
% inverse(C))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(
% inverse(V_3),V_3))),
% inverse(B))) is composed into 
% [316]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(multiply(inverse(a2),a2),inverse(B))
% Rule [299]
% multiply(inverse(multiply(C,inverse(multiply(inverse(B),V_3)))),
% multiply(C,inverse(V_3))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(B))) is composed into 
% [299]
% multiply(inverse(multiply(C,inverse(multiply(inverse(B),V_3)))),multiply(C,
% inverse(V_3)))
% <-> multiply(multiply(inverse(a2),a2),inverse(B))
% Rule [258]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),
% inverse(C))) <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(V_3),V_3))),
% inverse(C))) is composed into 
% [258]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(C)))
% <-> multiply(inverse(multiply(inverse(V_3),V_3)),inverse(C))
% Rule [210]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(
% multiply(
% inverse(B),V_3))),
% inverse(V_3))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(B))) is composed into 
% [210]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(B),V_3))),
% inverse(V_3))) <->
% multiply(multiply(inverse(a2),a2),inverse(B))
% Rule [125]
% multiply(inverse(multiply(C,inverse(multiply(inverse(V_3),V_3)))),
% multiply(C,inverse(B))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(
% multiply(
% inverse(A),A))),
% inverse(B))) is composed into 
% [125]
% multiply(inverse(multiply(C,inverse(multiply(inverse(V_3),V_3)))),multiply(C,
% inverse(B)))
% <-> multiply(inverse(multiply(inverse(A),A)),inverse(B))
% New rule produced :
% [597]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(B)) -> inverse(B)
% Rule
% [185]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(B))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) collapsed.
% Rule
% [216]
% multiply(inverse(multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(
% multiply(
% inverse(A),A))),
% inverse(B)))),inverse(
% multiply(
% inverse(C),C)))
% -> B collapsed.
% Rule
% [241]
% multiply(inverse(multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(
% multiply(
% inverse(A),A))),
% inverse(B)))),multiply(
% inverse(C),C))
% -> B collapsed.
% Rule
% [253]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(B))) <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(C),C),inverse(B)))
% collapsed.
% Rule
% [300]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(B))) <->
% multiply(inverse(multiply(C,inverse(multiply(inverse(B),V_3)))),multiply(C,
% inverse(V_3)))
% collapsed.
% Rule
% [308]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(
% inverse(
% multiply(
% inverse(A),A))),
% inverse(B)))),
% inverse(multiply(inverse(C),C))) -> B collapsed.
% Rule
% [347]
% multiply(multiply(inverse(B),B),multiply(inverse(inverse(multiply(inverse(C),C))),
% inverse(multiply(inverse(V_3),V_3)))) <->
% multiply(inverse(A),A) collapsed.
% Rule
% [349]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(
% inverse(
% multiply(
% inverse(A),A))),
% inverse(B)))),
% multiply(inverse(C),C)) -> B collapsed.
% Rule
% [391]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(V_3),V_3))),
% inverse(C))) <->
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(C)))
% collapsed.
% Rule
% [401]
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(V_4),V_4))),
% inverse(C))) <->
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(C)))
% collapsed.
% Rule
% [448]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(V_4),V_4))),
% inverse(B))) <->
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),C))))),
% multiply(A,multiply(inverse(V_3),V_3))) collapsed.
% Rule
% [495]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(B))) <->
% multiply(inverse(multiply(a2,inverse(multiply(inverse(B),a2)))),multiply(a2,
% inverse(a2)))
% collapsed.
% Rule
% [504]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(B))) <->
% multiply(inverse(multiply(a2,inverse(multiply(inverse(B),a2)))),multiply(a2,
% inverse(a2)))
% collapsed.
% Rule
% [515]
% multiply(multiply(inverse(B),B),multiply(inverse(inverse(multiply(inverse(C),C))),
% inverse(A))) <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(A)))
% collapsed.
% Rule
% [518]
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(V_4),V_4))),
% inverse(C))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(C))) collapsed.
% Rule
% [520]
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(V_4),V_4))),
% inverse(B))) <->
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,
% inverse(C)))
% collapsed.
% Rule
% [521]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(V_3),V_3))),
% inverse(A))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B))) collapsed.
% Rule
% [525]
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(V_4),V_4))),
% inverse(B))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),C))),
% inverse(C))) collapsed.
% Rule
% [527]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(multiply(inverse(B),
% multiply(inverse(C),C)))))
% -> B collapsed.
% Rule
% [528]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),A))),
% inverse(multiply(inverse(B),multiply(
% inverse(C),C)))))
% -> B collapsed.
% Rule
% [545]
% multiply(inverse(inverse(multiply(inverse(V_3),V_3))),inverse(C)) <->
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% multiply(
% inverse(
% inverse(a2)),
% inverse(
% multiply(
% inverse(C),a2))))))
% collapsed.
% Rule
% [556]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(A),A))),
% inverse(multiply(inverse(multiply(B,
% inverse(C))),
% multiply(B,inverse(V_3))))))
% <-> multiply(inverse(inverse(V_3)),inverse(C)) collapsed.
% Rule
% [560]
% multiply(inverse(inverse(multiply(inverse(V_3),V_3))),inverse(multiply(
% inverse(V_4),V_4)))
% <->
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% inverse(
% multiply(
% inverse(C),C)))))
% collapsed.
% Rule
% [572]
% multiply(inverse(inverse(multiply(inverse(C),C))),inverse(B)) <->
% multiply(multiply(inverse(a2),a2),inverse(B)) collapsed.
% Rule
% [584]
% multiply(inverse(multiply(inverse(multiply(multiply(inverse(a2),a2),multiply(
% inverse(
% inverse(
% multiply(
% inverse(A),A))),
% inverse(B)))),
% inverse(C))),B) ->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(C),a2))) collapsed.
% Current number of equations to process: 2680
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [598]
% multiply(inverse(A),A) <->
% multiply(multiply(inverse(B),B),inverse(multiply(inverse(V_3),V_3)))
% Current number of equations to process: 2679
% Current number of ordered equations: 1
% Current number of rules: 261
% Rule [598]
% multiply(inverse(A),A) <->
% multiply(multiply(inverse(B),B),inverse(multiply(inverse(V_3),V_3))) is composed into 
% [598] multiply(inverse(A),A) <-> multiply(inverse(a2),a2)
% New rule produced :
% [599]
% multiply(multiply(inverse(B),B),inverse(multiply(inverse(V_3),V_3))) <->
% multiply(inverse(A),A)
% Rule
% [225]
% multiply(multiply(inverse(a2),a2),inverse(multiply(inverse(A),A))) <->
% multiply(inverse(B),B) collapsed.
% Rule
% [281]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),C))))
% <-> multiply(inverse(V_3),V_3) collapsed.
% Rule
% [363]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(C),C))))
% -> multiply(inverse(a2),a2) collapsed.
% Rule
% [548]
% multiply(multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(
% inverse(A),A)),a2))),
% multiply(multiply(inverse(B),B),inverse(multiply(inverse(C),C)))) <->
% multiply(inverse(V_3),V_3) collapsed.
% Rule
% [562]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(
% multiply(
% multiply(
% inverse(B),B),
% inverse(
% multiply(
% inverse(C),C))))))
% -> multiply(inverse(B),B) collapsed.
% Rule
% [564]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% multiply(
% multiply(
% inverse(C),C),
% inverse(
% multiply(
% inverse(V_3),V_3))))))
% -> multiply(inverse(C),C) collapsed.
% Rule
% [565]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(multiply(multiply(inverse(C),C),
% inverse(multiply(inverse(V_3),V_3))))))
% -> multiply(inverse(B),B) collapsed.
% Current number of equations to process: 2679
% Current number of ordered equations: 0
% Current number of rules: 255
% Rule [594]
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(A),a2))) <->
% multiply(inverse(inverse(A)),multiply(inverse(a2),a2)) is composed into 
% [594] multiply(inverse(inverse(a2)),inverse(multiply(inverse(A),a2))) -> A
% New rule produced :
% [600] multiply(inverse(inverse(B)),multiply(inverse(C),C)) -> B
% Rule
% [362]
% multiply(inverse(multiply(inverse(inverse(A)),multiply(inverse(B),B))),
% multiply(inverse(C),C)) <->
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(V_4),V_4)))),multiply(V_3,
% inverse(A)))
% collapsed.
% Rule
% [494]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),multiply(
% inverse(C),C)))
% -> multiply(inverse(inverse(a2)),inverse(multiply(inverse(B),a2))) collapsed.
% Rule
% [510]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% multiply(inverse(C),C))) ->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(B),a2))) collapsed.
% Rule
% [593]
% multiply(inverse(inverse(A)),multiply(inverse(a2),a2)) <->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(A),a2))) collapsed.
% Rule
% [596]
% multiply(inverse(multiply(inverse(inverse(a2)),inverse(multiply(inverse(A),a2)))),
% multiply(inverse(inverse(A)),multiply(inverse(a2),a2))) <->
% multiply(inverse(B),B) collapsed.
% Current number of equations to process: 2681
% Current number of ordered equations: 0
% Current number of rules: 251
% Rule [592]
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(multiply(
% inverse(C),
% inverse(
% multiply(
% inverse(V_4),V_4)))),V_3)))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(C))) is composed into 
% [592]
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(multiply(inverse(C),
% inverse(multiply(
% inverse(V_4),V_4)))),V_3)))
% <-> multiply(inverse(multiply(inverse(A),A)),inverse(C))
% Rule [588]
% multiply(inverse(inverse(C)),inverse(multiply(inverse(multiply(inverse(A),
% inverse(multiply(
% inverse(V_3),V_3)))),C)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(
% inverse(A),B))),
% inverse(B))) is composed into 
% [588]
% multiply(inverse(inverse(C)),inverse(multiply(inverse(multiply(inverse(A),
% inverse(multiply(
% inverse(V_3),V_3)))),C)))
% <-> multiply(inverse(inverse(multiply(inverse(A),B))),inverse(B))
% Rule [587]
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(multiply(
% inverse(V_4),V_4)),V_3)))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(inverse(multiply(
% inverse(C),C))))) is composed into 
% [587]
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(multiply(inverse(V_4),V_4)),V_3)))
% <->
% multiply(inverse(multiply(inverse(A),A)),inverse(inverse(multiply(inverse(C),C))))
% Rule [581]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,
% inverse(multiply(C,
% multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(multiply(inverse(V_4),V_4),multiply(multiply(inverse(V_5),V_5),
% inverse(multiply(C,multiply(
% inverse(V_6),V_6))))) is composed into 
% [581]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% multiply(C,
% multiply(
% inverse(V_3),V_3)))))
% <-> inverse(multiply(C,multiply(inverse(V_6),V_6)))
% Rule [575]
% multiply(inverse(inverse(C)),inverse(B)) <->
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(a2),a2),
% inverse(multiply(multiply(inverse(a2),a2),
% multiply(inverse(inverse(B)),
% inverse(C)))))) is composed into 
% [575]
% multiply(inverse(inverse(C)),inverse(B)) <->
% inverse(multiply(inverse(inverse(B)),inverse(C)))
% Rule [571]
% multiply(inverse(inverse(V_4)),inverse(V_3)) <->
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(multiply(C,
% inverse(V_3))),
% multiply(C,inverse(V_4)))))) is composed into 
% [571]
% multiply(inverse(inverse(V_4)),inverse(V_3)) <->
% inverse(multiply(inverse(multiply(C,inverse(V_3))),multiply(C,inverse(V_4))))
% Rule [555]
% multiply(inverse(inverse(V_3)),inverse(C)) <->
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,
% inverse(multiply(
% multiply(
% inverse(a2),a2),
% multiply(
% inverse(
% inverse(C)),
% inverse(V_3)))))) is composed into 
% [555]
% multiply(inverse(inverse(V_3)),inverse(C)) <->
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% multiply(
% inverse(
% inverse(C)),
% inverse(V_3)))))
% Rule [553]
% multiply(inverse(inverse(V_3)),inverse(C)) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(A),A)),
% inverse(multiply(inverse(multiply(B,
% inverse(C))),
% multiply(B,inverse(V_3)))))) is composed into 
% [553]
% multiply(inverse(inverse(V_3)),inverse(C)) <->
% multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(multiply(B,
% inverse(C))),
% multiply(B,inverse(V_3)))))
% Rule [551]
% multiply(inverse(inverse(V_4)),inverse(V_3)) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(
% multiply(C,
% inverse(V_3))),
% multiply(C,inverse(V_4)))))) is composed into 
% [551]
% multiply(inverse(inverse(V_4)),inverse(V_3)) <->
% multiply(inverse(multiply(inverse(A),A)),inverse(multiply(inverse(multiply(C,
% inverse(V_3))),
% multiply(C,inverse(V_4)))))
% Rule [531]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,
% inverse(multiply(
% inverse(
% inverse(a2)),
% inverse(
% multiply(
% inverse(C),a2))))))
% <-> multiply(multiply(inverse(V_3),V_3),inverse(C)) is composed into 
% [531]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% multiply(
% inverse(
% inverse(a2)),
% inverse(
% multiply(
% inverse(C),a2))))))
% -> inverse(C)
% Rule [484]
% multiply(inverse(multiply(C,multiply(inverse(V_3),V_3))),multiply(C,
% inverse(B)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(A),A)),
% inverse(B))) is composed into 
% [484]
% multiply(inverse(multiply(C,multiply(inverse(V_3),V_3))),multiply(C,inverse(B)))
% <-> multiply(inverse(multiply(inverse(A),A)),inverse(B))
% Rule [475]
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(B),V_4)))),
% multiply(V_3,inverse(V_4))) <->
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(
% inverse(B),C))),
% inverse(C))) is composed into [475]
% multiply(
% inverse(
% multiply(V_3,
% inverse(
% multiply(
% inverse(B),V_4)))),
% multiply(V_3,
% inverse(V_4)))
% <->
% multiply(
% inverse(
% inverse(
% multiply(
% inverse(B),C))),
% inverse(C))
% Rule [468]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(
% multiply(
% inverse(B),V_3))),
% inverse(V_3))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(A),A)),
% inverse(B))) is composed into 
% [468]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(B),V_3))),
% inverse(V_3))) <->
% multiply(inverse(multiply(inverse(A),A)),inverse(B))
% Rule [449]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(
% inverse(C),C))))),
% multiply(A,multiply(inverse(V_3),V_3))) <->
% multiply(multiply(inverse(a2),a2),inverse(B)) is composed into [449]
% multiply(
% inverse(
% multiply(A,
% inverse(
% multiply(
% inverse(B),
% multiply(
% inverse(C),C))))),
% multiply(A,
% multiply(
% inverse(V_3),V_3)))
% ->
% inverse(B)
% Rule [444]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(
% inverse(C),C))))),
% multiply(A,multiply(inverse(V_3),V_3))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(
% inverse(B),V_4))),
% inverse(V_4))) is composed into 
% [444]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),C))))),
% multiply(A,multiply(inverse(V_3),V_3))) <->
% multiply(inverse(inverse(multiply(inverse(B),V_4))),inverse(V_4))
% Rule [431]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(
% inverse(C),C))))),
% multiply(A,multiply(inverse(V_3),V_3))) <->
% multiply(inverse(multiply(inverse(V_4),V_4)),multiply(multiply(inverse(V_5),V_5),
% inverse(B))) is composed into 
% [431]
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),C))))),
% multiply(A,multiply(inverse(V_3),V_3))) <->
% multiply(inverse(multiply(inverse(V_4),V_4)),inverse(B))
% Rule [412]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(
% multiply(
% inverse(B),C))),
% inverse(C))) <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(multiply(inverse(V_4),V_4),
% inverse(B))) is composed into 
% [412]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),C))),
% inverse(C))) <->
% multiply(inverse(multiply(inverse(V_3),V_3)),inverse(B))
% Rule [410]
% multiply(inverse(multiply(C,inverse(multiply(inverse(B),V_3)))),
% multiply(C,inverse(V_3))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(A),A)),
% inverse(B))) is composed into 
% [410]
% multiply(inverse(multiply(C,inverse(multiply(inverse(B),V_3)))),multiply(C,
% inverse(V_3)))
% <-> multiply(inverse(multiply(inverse(A),A)),inverse(B))
% Rule [390]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,
% inverse(C))) <->
% multiply(multiply(inverse(a2),a2),inverse(C)) is composed into [390]
% multiply(
% inverse(
% multiply(A,
% multiply(
% inverse(B),B))),
% multiply(A,
% inverse(C)))
% ->
% inverse(C)
% Rule [385]
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(C),V_4)))),
% multiply(V_3,inverse(V_4))) <->
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),
% inverse(C))) is composed into [385]
% multiply(
% inverse(
% multiply(V_3,
% inverse(
% multiply(
% inverse(C),V_4)))),
% multiply(V_3,
% inverse(V_4)))
% ->
% inverse(C)
% Rule [359]
% multiply(inverse(multiply(V_3,multiply(inverse(V_4),V_4))),multiply(V_3,
% inverse(C)))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(C))) is composed into 
% [359]
% multiply(inverse(multiply(V_3,multiply(inverse(V_4),V_4))),multiply(V_3,
% inverse(C))) <->
% multiply(inverse(multiply(inverse(A),A)),inverse(C))
% Rule [341]
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(C),V_4))),
% inverse(V_4))) <->
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),
% inverse(C))) is composed into [341]
% multiply(
% inverse(
% multiply(
% inverse(V_3),V_3)),
% multiply(
% inverse(
% inverse(
% multiply(
% inverse(C),V_4))),
% inverse(V_4)))
% ->
% inverse(C)
% Rule [336]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(C),C)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(B)),inverse(
% multiply(
% inverse(V_3),V_3)))) is composed into 
% [336]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(C),C)))
% <-> multiply(inverse(inverse(B)),inverse(multiply(inverse(V_3),V_3)))
% Rule [304]
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(C),V_4)))),
% multiply(V_3,inverse(V_4))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(C))) is composed into 
% [304]
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(C),V_4)))),multiply(V_3,
% inverse(V_4)))
% <-> multiply(inverse(multiply(inverse(A),A)),inverse(C))
% Rule [299]
% multiply(inverse(multiply(C,inverse(multiply(inverse(B),V_3)))),
% multiply(C,inverse(V_3))) <->
% multiply(multiply(inverse(a2),a2),inverse(B)) is composed into [299]
% multiply(
% inverse(
% multiply(C,
% inverse(
% multiply(
% inverse(B),V_3)))),
% multiply(C,
% inverse(V_3)))
% ->
% inverse(B)
% Rule [292]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,
% inverse(C))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(
% inverse(C),V_3))),
% inverse(V_3))) is composed into 
% [292]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(C)))
% <-> multiply(inverse(inverse(multiply(inverse(C),V_3))),inverse(V_3))
% Rule [290]
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(V_4),V_4)))),
% multiply(V_3,inverse(C))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(C))) is composed into 
% [290]
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(V_4),V_4)))),multiply(V_3,
% inverse(C)))
% <-> multiply(inverse(multiply(inverse(A),A)),inverse(C))
% Rule [272]
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(V_4),V_4)))),
% multiply(V_3,inverse(C))) <->
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),
% inverse(C))) is composed into [272]
% multiply(
% inverse(
% multiply(V_3,
% inverse(
% multiply(
% inverse(V_4),V_4)))),
% multiply(V_3,
% inverse(C)))
% ->
% inverse(C)
% Rule [233]
% multiply(inverse(multiply(C,inverse(multiply(inverse(V_3),V_3)))),
% multiply(C,inverse(A))) <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),
% inverse(A))) is composed into 
% [233]
% multiply(inverse(multiply(C,inverse(multiply(inverse(V_3),V_3)))),multiply(C,
% inverse(A)))
% -> inverse(A)
% Rule [210]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(
% multiply(
% inverse(B),V_3))),
% inverse(V_3))) <->
% multiply(multiply(inverse(a2),a2),inverse(B)) is composed into [210]
% multiply(
% inverse(
% multiply(
% inverse(C),C)),
% multiply(
% inverse(
% inverse(
% multiply(
% inverse(B),V_3))),
% inverse(V_3)))
% ->
% inverse(B)
% Rule [111]
% multiply(inverse(multiply(C,inverse(A))),multiply(C,inverse(B))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),inverse(B))) is composed into 
% [111]
% multiply(inverse(multiply(C,inverse(A))),multiply(C,inverse(B))) ->
% multiply(inverse(inverse(A)),inverse(B))
% Rule [106]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(
% multiply(
% inverse(B),C))),
% inverse(C))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(
% inverse(B),V_3))),
% inverse(V_3))) is composed into 
% [106]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),C))),
% inverse(C))) <->
% multiply(inverse(inverse(multiply(inverse(B),V_3))),inverse(V_3))
% New rule produced : [601] multiply(multiply(inverse(A),A),B) -> B
% Rule
% [135]
% multiply(multiply(inverse(A),A),multiply(inverse(B),B)) <->
% multiply(inverse(C),C) collapsed.
% Rule
% [165]
% multiply(inverse(multiply(multiply(inverse(A),A),inverse(B))),multiply(
% inverse(C),C))
% -> multiply(inverse(inverse(a2)),inverse(multiply(inverse(B),a2))) collapsed.
% Rule
% [173]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(V_4),V_4)))),multiply(V_3,
% inverse(B)))
% collapsed.
% Rule
% [198]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(a2),a2),
% inverse(B))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) collapsed.
% Rule
% [209]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),inverse(C))) <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(C)))
% collapsed.
% Rule
% [211]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(B),V_4))),
% inverse(V_4))) collapsed.
% Rule
% [217]
% multiply(inverse(multiply(multiply(inverse(A),A),multiply(inverse(inverse(
% multiply(
% inverse(B),C))),
% inverse(C)))),inverse(
% multiply(
% inverse(V_3),V_3)))
% -> B collapsed.
% Rule
% [246]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(a2),a2),inverse(B)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(C),C),inverse(B)))
% collapsed.
% Rule
% [247]
% multiply(inverse(multiply(multiply(inverse(A),A),multiply(inverse(inverse(
% multiply(
% inverse(B),C))),
% inverse(C)))),multiply(
% inverse(V_3),V_3))
% -> B collapsed.
% Rule
% [248]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(a2),a2),inverse(B)))
% <->
% multiply(inverse(multiply(C,inverse(multiply(inverse(V_3),V_3)))),multiply(C,
% inverse(B)))
% collapsed.
% Rule
% [249]
% multiply(multiply(inverse(C),C),multiply(multiply(inverse(a2),a2),inverse(B)))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(a2),a2),
% inverse(B))) collapsed.
% Rule
% [258]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(C)))
% <-> multiply(inverse(multiply(inverse(V_3),V_3)),inverse(C)) collapsed.
% Rule
% [289]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(C))) <->
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(V_4),V_4)))),multiply(V_3,
% inverse(C)))
% collapsed.
% Rule
% [291]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(multiply(
% inverse(B),B),
% inverse(C)))),
% multiply(inverse(V_3),V_3)) -> C collapsed.
% Rule
% [298]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(multiply(
% inverse(B),B),
% inverse(C)))),
% inverse(multiply(inverse(V_3),V_3))) -> C collapsed.
% Rule
% [303]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(C))) <->
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(C),V_4)))),multiply(V_3,
% inverse(V_4)))
% collapsed.
% Rule
% [313]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(B),V_3))),
% inverse(V_3))) collapsed.
% Rule
% [316]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(multiply(inverse(a2),a2),inverse(B)) collapsed.
% Rule
% [317]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(C)))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(C),V_3))),
% inverse(V_3))) collapsed.
% Rule
% [321]
% multiply(inverse(multiply(inverse(C),C)),multiply(multiply(inverse(V_3),V_3),
% inverse(B))) <->
% multiply(multiply(inverse(a2),a2),inverse(B)) collapsed.
% Rule
% [322]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(multiply(inverse(V_4),V_4),
% inverse(B))) collapsed.
% Rule
% [331]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(a2),a2),inverse(B)))
% <->
% multiply(multiply(inverse(C),C),multiply(inverse(inverse(multiply(inverse(B),V_3))),
% inverse(V_3))) collapsed.
% Rule
% [334]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),inverse(
% multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(a2,inverse(B))),multiply(a2,multiply(inverse(V_3),V_3)))
% collapsed.
% Rule
% [337]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),inverse(
% multiply(
% inverse(C),C))))
% <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,multiply(inverse(a2),a2)))
% collapsed.
% Rule
% [340]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(C)))
% <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(inverse(
% multiply(
% inverse(C),V_4))),
% inverse(V_4))) collapsed.
% Rule
% [350]
% multiply(inverse(multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),
% inverse(C)))),inverse(
% multiply(
% inverse(V_3),V_3)))
% -> C collapsed.
% Rule
% [358]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(C))) <->
% multiply(inverse(multiply(V_3,multiply(inverse(V_4),V_4))),multiply(V_3,
% inverse(C)))
% collapsed.
% Rule
% [365]
% multiply(inverse(multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),
% inverse(C)))),multiply(
% inverse(V_3),V_3))
% -> C collapsed.
% Rule
% [366]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(C)))
% <-> multiply(multiply(inverse(a2),a2),inverse(C)) collapsed.
% Rule
% [367]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(C)))
% <->
% multiply(inverse(multiply(V_3,multiply(inverse(V_4),V_4))),multiply(V_3,
% inverse(C)))
% collapsed.
% Rule
% [372]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(C),
% multiply(inverse(V_3),V_3)))))
% -> C collapsed.
% Rule
% [384]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(C)))
% <->
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(C),V_4)))),multiply(V_3,
% inverse(V_4)))
% collapsed.
% Rule
% [389]
% multiply(inverse(multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(
% inverse(A),A)),
% inverse(B)))),multiply(
% inverse(C),C))
% -> B collapsed.
% Rule
% [392]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),inverse(
% multiply(
% inverse(C),C))))
% -> multiply(inverse(inverse(a2)),inverse(multiply(inverse(B),a2))) collapsed.
% Rule
% [399]
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(A),A)),
% inverse(B))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) collapsed.
% Rule
% [400]
% multiply(inverse(multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(
% inverse(A),A)),
% inverse(B)))),inverse(
% multiply(
% inverse(C),C)))
% -> B collapsed.
% Rule
% [409]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(inverse(multiply(V_3,multiply(inverse(V_4),V_4))),multiply(V_3,
% inverse(B)))
% collapsed.
% Rule
% [411]
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(A),A)),
% inverse(B))) <->
% multiply(inverse(multiply(C,inverse(multiply(inverse(B),V_3)))),multiply(C,
% inverse(V_3)))
% collapsed.
% Rule
% [413]
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(multiply(inverse(V_4),V_4),
% inverse(B))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(multiply(
% inverse(B),C))),
% inverse(C))) collapsed.
% Rule
% [423]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(inverse(multiply(inverse(V_3),V_3)),inverse(B)) collapsed.
% Rule
% [424]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(multiply(inverse(V_3),V_3),multiply(multiply(inverse(V_4),V_4),
% inverse(B))) collapsed.
% Rule
% [425]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(V_3),V_3)))))
% -> C collapsed.
% Rule
% [430]
% multiply(inverse(multiply(inverse(V_4),V_4)),multiply(multiply(inverse(V_5),V_5),
% inverse(B))) <->
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),C))))),
% multiply(A,multiply(inverse(V_3),V_3))) collapsed.
% Rule
% [433]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B))) <->
% multiply(inverse(multiply(a2,inverse(multiply(inverse(A),a2)))),multiply(a2,
% inverse(a2)))
% collapsed.
% Rule
% [443]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(B),V_4))),
% inverse(V_4))) <->
% multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),C))))),
% multiply(A,multiply(inverse(V_3),V_3))) collapsed.
% Rule
% [452]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),inverse(
% multiply(
% multiply(
% inverse(a2),a2),
% inverse(
% multiply(
% inverse(A),
% multiply(
% inverse(a2),a2)))))))
% -> multiply(inverse(a2),a2) collapsed.
% Rule
% [461]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(B)),inverse(
% multiply(
% inverse(C),C))))
% -> multiply(inverse(inverse(a2)),inverse(multiply(inverse(B),a2))) collapsed.
% Rule
% [469]
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(A),A)),
% inverse(B))) <->
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(inverse(multiply(
% inverse(B),V_3))),
% inverse(V_3))) collapsed.
% Rule
% [474]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(B),V_4)))),multiply(V_3,
% inverse(V_4)))
% collapsed.
% Rule
% [485]
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(A),A)),
% inverse(B))) <->
% multiply(inverse(multiply(C,multiply(inverse(V_3),V_3))),multiply(C,inverse(B)))
% collapsed.
% Rule
% [487]
% multiply(inverse(multiply(inverse(C),C)),multiply(multiply(inverse(V_3),V_3),
% inverse(B))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(A),A)),
% inverse(B))) collapsed.
% Rule
% [488]
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(A),A)),
% inverse(B))) <->
% multiply(inverse(multiply(inverse(C),C)),multiply(multiply(inverse(V_3),V_3),
% inverse(B))) collapsed.
% Rule
% [490]
% multiply(multiply(inverse(A),A),multiply(inverse(multiply(a2,inverse(a2))),
% multiply(a2,inverse(multiply(multiply(
% inverse(B),B),a2)))))
% <-> multiply(inverse(C),C) collapsed.
% Rule
% [502]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(C))) <->
% multiply(inverse(multiply(a2,inverse(multiply(inverse(C),a2)))),multiply(a2,
% inverse(a2)))
% collapsed.
% Rule
% [506]
% multiply(multiply(inverse(C),C),multiply(multiply(inverse(V_3),V_3),inverse(A)))
% <->
% multiply(inverse(multiply(a2,inverse(multiply(inverse(A),a2)))),multiply(a2,
% inverse(a2)))
% collapsed.
% Rule
% [508]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B))) <->
% multiply(inverse(multiply(A,inverse(multiply(inverse(A),C)))),multiply(A,
% inverse(C)))
% collapsed.
% Rule
% [511]
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(C),C)),
% inverse(A))) <->
% multiply(inverse(multiply(a2,inverse(multiply(inverse(A),a2)))),multiply(a2,
% inverse(a2)))
% collapsed.
% Rule
% [513]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(multiply(inverse(B),C))),
% inverse(C))) <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(V_3),V_3)),
% inverse(B))) collapsed.
% Rule
% [514]
% multiply(inverse(multiply(inverse(multiply(multiply(inverse(A),A),multiply(
% multiply(
% inverse(B),B),
% inverse(C)))),
% inverse(V_3))),C) ->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(V_3),a2))) collapsed.
% Rule
% [516]
% multiply(multiply(inverse(a2),a2),multiply(multiply(inverse(a2),a2),inverse(A)))
% <-> multiply(multiply(inverse(B),B),inverse(A)) collapsed.
% Rule
% [517]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(C))) <->
% multiply(inverse(multiply(inverse(V_3),V_3)),inverse(C)) collapsed.
% Rule
% [522]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B))) <->
% multiply(inverse(multiply(inverse(C),C)),inverse(A)) collapsed.
% Rule
% [526]
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(A),A)),
% inverse(multiply(inverse(B),multiply(
% inverse(C),C)))))
% -> B collapsed.
% Rule
% [529]
% multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),inverse(
% inverse(
% multiply(
% inverse(C),C)))))
% <-> multiply(inverse(inverse(V_3)),inverse(multiply(inverse(B),V_3)))
% collapsed.
% Rule
% [530]
% multiply(multiply(inverse(V_3),V_3),inverse(C)) <->
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% multiply(
% inverse(
% inverse(a2)),
% inverse(
% multiply(
% inverse(C),a2))))))
% collapsed.
% Rule
% [532]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% multiply(
% inverse(C),C),
% inverse(multiply(
% inverse(B),
% multiply(
% inverse(a2),a2)))))))
% -> multiply(inverse(a2),a2) collapsed.
% Rule
% [539]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(inverse(a2)),
% inverse(multiply(inverse(C),a2))))))
% <-> multiply(multiply(inverse(V_3),V_3),inverse(C)) collapsed.
% Rule
% [540]
% multiply(multiply(inverse(V_3),V_3),inverse(C)) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(inverse(a2)),
% inverse(multiply(inverse(C),a2))))))
% collapsed.
% Rule
% [542]
% multiply(multiply(inverse(C),C),inverse(B)) <->
% multiply(multiply(inverse(a2),a2),inverse(B)) collapsed.
% Rule
% [543]
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(A),A)),
% inverse(multiply(inverse(inverse(a2)),
% inverse(multiply(inverse(B),a2))))))
% <-> multiply(multiply(inverse(C),C),inverse(B)) collapsed.
% Rule
% [544]
% multiply(inverse(multiply(inverse(multiply(multiply(inverse(a2),a2),multiply(
% inverse(
% multiply(
% inverse(A),A)),
% inverse(B)))),
% inverse(C))),B) ->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(C),a2))) collapsed.
% Rule
% [549]
% multiply(inverse(A),multiply(inverse(multiply(multiply(inverse(B),B),
% multiply(multiply(inverse(C),C),
% inverse(A)))),inverse(V_3))) <->
% multiply(inverse(multiply(V_4,multiply(inverse(V_5),V_5))),multiply(V_4,
% inverse(V_3)))
% collapsed.
% Rule
% [550]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(multiply(C,
% inverse(V_3))),
% multiply(C,inverse(V_4))))))
% <-> multiply(inverse(inverse(V_4)),inverse(V_3)) collapsed.
% Rule
% [552]
% multiply(multiply(inverse(a2),a2),multiply(inverse(multiply(inverse(A),A)),
% inverse(multiply(inverse(multiply(B,
% inverse(C))),
% multiply(B,inverse(V_3)))))) <->
% multiply(inverse(inverse(V_3)),inverse(C)) collapsed.
% Rule
% [554]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% multiply(
% multiply(
% inverse(a2),a2),
% multiply(
% inverse(
% inverse(C)),
% inverse(V_3))))))
% <-> multiply(inverse(inverse(V_3)),inverse(C)) collapsed.
% Rule
% [568]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(
% inverse(a2)),
% inverse(
% multiply(
% inverse(C),a2))))))
% <-> multiply(multiply(inverse(V_3),V_3),inverse(C)) collapsed.
% Rule
% [569]
% multiply(multiply(inverse(V_3),V_3),inverse(C)) <->
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(
% inverse(a2)),
% inverse(
% multiply(
% inverse(C),a2))))))
% collapsed.
% Rule
% [570]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(
% multiply(C,
% inverse(V_3))),
% multiply(C,
% inverse(V_4))))))
% <-> multiply(inverse(inverse(V_4)),inverse(V_3)) collapsed.
% Rule [573] multiply(multiply(inverse(a2),a2),inverse(B)) -> inverse(B)
% collapsed.
% Rule
% [574]
% multiply(multiply(inverse(A),A),multiply(multiply(inverse(a2),a2),inverse(
% multiply(
% multiply(
% inverse(a2),a2),
% multiply(
% inverse(
% inverse(B)),
% inverse(C))))))
% <-> multiply(inverse(inverse(C)),inverse(B)) collapsed.
% Rule
% [579]
% multiply(inverse(multiply(inverse(multiply(multiply(inverse(A),A),multiply(
% inverse(
% inverse(
% multiply(
% inverse(B),C))),
% inverse(C)))),
% inverse(V_3))),B) ->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(V_3),a2))) collapsed.
% Rule
% [580]
% multiply(multiply(inverse(V_4),V_4),multiply(multiply(inverse(V_5),V_5),
% inverse(multiply(C,multiply(inverse(V_6),V_6)))))
% <->
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,inverse(
% multiply(C,
% multiply(
% inverse(V_3),V_3)))))
% collapsed.
% Rule
% [582]
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(multiply(multiply(
% inverse(a2),a2),
% multiply(multiply(
% inverse(a2),a2),
% inverse(A)))),a2))) ->
% inverse(A) collapsed.
% Rule
% [583]
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),A)),
% multiply(multiply(inverse(B),B),inverse(C)))),
% inverse(V_3))),C) ->
% multiply(inverse(inverse(a2)),inverse(multiply(inverse(V_3),a2))) collapsed.
% Rule
% [585]
% multiply(inverse(inverse(A)),inverse(multiply(multiply(inverse(B),B),A))) ->
% multiply(inverse(a2),a2) collapsed.
% Rule
% [586]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(inverse(multiply(inverse(C),C)))))
% <->
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(multiply(inverse(V_4),V_4)),V_3)))
% collapsed.
% Rule
% [589]
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(multiply(inverse(A),B))),
% inverse(B))) <->
% multiply(inverse(inverse(C)),inverse(multiply(inverse(multiply(inverse(A),
% inverse(multiply(
% inverse(V_3),V_3)))),C)))
% collapsed.
% Rule
% [591]
% multiply(inverse(multiply(inverse(A),A)),multiply(multiply(inverse(B),B),
% inverse(C))) <->
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(multiply(inverse(C),
% inverse(multiply(
% inverse(V_4),V_4)))),V_3)))
% collapsed.
% Rule
% [599]
% multiply(multiply(inverse(B),B),inverse(multiply(inverse(V_3),V_3))) <->
% multiply(inverse(A),A) collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% Trivial
% 
% Current number of equations to process: 2728
% Current number of ordered equations: 0
% Current number of rules: 163
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
% 
% The following 19 rules have been used:
% [1] 
% multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),
% multiply(A,inverse(C)))),inverse(multiply(inverse(C),C))) ->
% B; trace = in the starting set
% [5] multiply(inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,
% inverse(
% inverse(
% multiply(
% inverse(C),C)))))),
% inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(
% multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(B),C)))),multiply(V_3,
% inverse(C))); trace = Self cp of 1
% [9] multiply(inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(A),
% inverse(multiply(
% inverse(C),C)))),C)))),
% multiply(B,inverse(C))) -> A; trace = Cp of 5 and 1
% [12] multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,
% inverse(C)))
% <->
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(B),C)))),
% multiply(V_3,inverse(C))); trace = Cp of 9 and 1
% [14] multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,
% inverse(V_3)))))
% <->
% multiply(inverse(multiply(V_4,inverse(B))),multiply(V_4,inverse(
% multiply(C,
% inverse(V_3))))); trace = Cp of 12 and 9
% [15] multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(C))) <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(C))); trace = Cp of 14 and 1
% [16] multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,
% inverse(multiply(
% inverse(A),C)))),
% multiply(B,inverse(C)))),inverse(V_3)))
% <->
% multiply(inverse(multiply(V_4,inverse(multiply(inverse(C),C)))),
% multiply(V_4,inverse(V_3))); trace = Cp of 15 and 1
% [19] multiply(inverse(A),A) <-> multiply(inverse(a2),a2); trace = Cp of 16 and 1
% [20] multiply(inverse(multiply(B,inverse(multiply(inverse(C),C)))),multiply(B,
% inverse(
% multiply(
% inverse(C),C))))
% <-> multiply(inverse(A),A); trace = Cp of 16 and 1
% [22] multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),
% multiply(A,inverse(C)))),inverse(multiply(inverse(a2),a2)))
% -> B; trace = Cp of 19 and 1
% [25] multiply(inverse(multiply(C,inverse(A))),multiply(C,inverse(B))) <->
% multiply(inverse(multiply(inverse(a2),a2)),multiply(inverse(inverse(A)),
% inverse(B))); trace = Cp of 19 and 15
% [34] multiply(inverse(B),B) <-> multiply(inverse(A),A); trace = Cp of 20 and 1
% [44] multiply(inverse(multiply(a2,inverse(A))),multiply(a2,inverse(multiply(
% inverse(B),B))))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(A)),multiply(
% inverse(a2),a2))); trace = Cp of 25 and 22
% [53] multiply(inverse(B),B) <-> multiply(inverse(a2),a2); trace = Cp of 34 and 25
% [96] multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% inverse(C),C))))
% <->
% multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(B)),multiply(
% inverse(a2),a2))); trace = Cp of 44 and 15
% [172] multiply(multiply(inverse(a2),a2),multiply(inverse(inverse(B)),
% multiply(inverse(a2),a2))) <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(inverse(a2),a2))); trace = Cp of 96 and 53
% [270] multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),multiply(
% inverse(a2),a2)))
% <->
% multiply(inverse(multiply(C,inverse(B))),multiply(C,multiply(inverse(a2),a2))); trace = Cp of 172 and 34
% [373] multiply(multiply(inverse(A),A),multiply(inverse(inverse(B)),multiply(
% inverse(C),C)))
% <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,multiply(
% inverse(a2),a2))); trace = Cp of 270 and 34
% [601] multiply(multiply(inverse(A),A),B) -> B; trace = Cp of 373 and 34
% % SZS output end Refutation
% All conjectures have been proven
% 
% Execution time: 30.870000 sec
% res : bool = true
% time is now off
% 
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
% 
% EOF
%------------------------------------------------------------------------------