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CiME---2.01.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : BOO071-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n108.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 00:19:20 EDT 2014

% Result   : Unsatisfiable 252.42s
% Output   : Refutation 252.42s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : BOO071-1 : TPTP v6.0.0. Released v2.6.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n108.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 : Thu Jun  5 22:25:43 CDT 2014
% % CPUTime  : 252.42 
% Processing problem /tmp/CiME_19512_n108.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " a,b : constant;  multiply : 3;  inverse : 1;";
% let X = vars "A B C D E F G";
% let Axioms = equations F X "
% multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = B;
% ";
% 
% let s1 = status F "
% a lr_lex;
% b lr_lex;
% multiply lr_lex;
% inverse lr_lex;
% ";
% 
% let p1 = precedence F "
% multiply > inverse > b > a";
% 
% let s2 = status F "
% a mul;
% b mul;
% multiply mul;
% inverse mul;
% ";
% 
% let p2 = precedence F "
% multiply > inverse > b = a";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " multiply(inverse(b),b,a) = a;"
% ;
% (*
% 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(multiply(A,inverse(A),B),inverse(
% multiply(
% multiply(C,D,E),F,
% multiply(C,D,G))),
% multiply(D,multiply(G,F,E),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(inverse(b),b,a) = a }
% (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced :
% [1]
% multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,
% multiply(C,D,G))),multiply(D,
% multiply(G,F,E),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(multiply(A,B,C),inverse(multiply(multiply(D,E,F),G,multiply(D,E,V_7))),
% multiply(E,multiply(V_7,G,F),D)) <->
% multiply(B,multiply(C,inverse(multiply(A,B,V_8)),V_8),A)
% Rule
% [1]
% multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,
% multiply(C,D,G))),multiply(D,
% multiply(G,F,E),C))
% -> B collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 1
% New rule produced :
% [3]
% multiply(inverse(A),multiply(B,inverse(multiply(A,inverse(A),a)),a),A) -> B
% Current number of equations to process: 3
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [4]
% multiply(multiply(A,B,C),inverse(multiply(multiply(D,inverse(D),a),inverse(
% multiply(D,
% inverse(D),a)),
% multiply(D,inverse(D),E))),E) <->
% multiply(B,multiply(C,inverse(multiply(A,B,F)),F),A)
% Current number of equations to process: 13
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced :
% [5]
% multiply(B,multiply(C,inverse(multiply(A,B,a)),a),A) <->
% multiply(B,multiply(C,inverse(multiply(A,B,F)),F),A)
% Current number of equations to process: 12
% Current number of ordered equations: 1
% Current number of rules: 4
% New rule produced :
% [6]
% multiply(B,multiply(C,inverse(multiply(A,B,F)),F),A) <->
% multiply(B,multiply(C,inverse(multiply(A,B,a)),a),A)
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [7]
% multiply(inverse(B),multiply(A,inverse(multiply(B,inverse(B),C)),C),B) -> A
% Rule
% [3]
% multiply(inverse(A),multiply(B,inverse(multiply(A,inverse(A),a)),a),A) -> B
% collapsed.
% Current number of equations to process: 31
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [8]
% multiply(multiply(A,B,C),inverse(multiply(multiply(D,inverse(D),E),inverse(
% multiply(D,
% inverse(D),E)),
% multiply(D,inverse(D),F))),F) <->
% multiply(B,multiply(C,inverse(multiply(A,B,G)),G),A)
% Rule
% [4]
% multiply(multiply(A,B,C),inverse(multiply(multiply(D,inverse(D),a),inverse(
% multiply(D,
% inverse(D),a)),
% multiply(D,inverse(D),E))),E) <->
% multiply(B,multiply(C,inverse(multiply(A,B,F)),F),A) collapsed.
% Current number of equations to process: 53
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [9]
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),multiply(multiply(D,
% inverse(D),E),
% inverse(multiply(D,
% inverse(D),E)),F))),F)
% <-> multiply(B,multiply(C,inverse(multiply(A,B,G)),G),A)
% Current number of equations to process: 70
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [10]
% multiply(multiply(A,B,C),inverse(multiply(multiply(D,E,F),multiply(G,
% inverse(multiply(F,
% inverse(F),a)),a),
% multiply(D,E,inverse(F)))),multiply(E,G,D))
% <-> multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A)
% Current number of equations to process: 86
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [11]
% multiply(multiply(A,B,C),inverse(multiply(multiply(D,E,F),multiply(G,
% inverse(multiply(F,
% inverse(F),V_7)),V_7),
% multiply(D,E,inverse(F)))),multiply(E,G,D))
% <-> multiply(B,multiply(C,inverse(multiply(A,B,V_8)),V_8),A)
% Rule
% [10]
% multiply(multiply(A,B,C),inverse(multiply(multiply(D,E,F),multiply(G,
% inverse(multiply(F,
% inverse(F),a)),a),
% multiply(D,E,inverse(F)))),multiply(E,G,D))
% <-> multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A) collapsed.
% Current number of equations to process: 122
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [12]
% multiply(multiply(A,B,C),inverse(multiply(multiply(D,E,a),inverse(multiply(D,E,a)),
% multiply(D,E,F))),multiply(E,multiply(F,
% inverse(
% multiply(D,E,G)),G),D))
% <-> multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A)
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [13]
% multiply(A,multiply(B,inverse(multiply(C,A,E)),E),C) <->
% multiply(A,multiply(B,inverse(multiply(C,A,D)),D),C)
% Rule
% [5]
% multiply(B,multiply(C,inverse(multiply(A,B,a)),a),A) <->
% multiply(B,multiply(C,inverse(multiply(A,B,F)),F),A) collapsed.
% Rule
% [6]
% multiply(B,multiply(C,inverse(multiply(A,B,F)),F),A) <->
% multiply(B,multiply(C,inverse(multiply(A,B,a)),a),A) collapsed.
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [14]
% multiply(multiply(A,B,C),inverse(multiply(multiply(D,E,F),inverse(multiply(D,E,F)),
% multiply(D,E,G))),multiply(E,multiply(G,
% inverse(
% multiply(D,E,a)),a),D))
% <-> multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A)
% Current number of equations to process: 215
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [15]
% multiply(multiply(A,B,C),inverse(multiply(multiply(D,E,F),inverse(multiply(D,E,F)),
% multiply(D,E,G))),multiply(E,multiply(G,
% inverse(
% multiply(D,E,V_7)),V_7),D))
% <-> multiply(B,multiply(C,inverse(multiply(A,B,V_8)),V_8),A)
% Rule
% [12]
% multiply(multiply(A,B,C),inverse(multiply(multiply(D,E,a),inverse(multiply(D,E,a)),
% multiply(D,E,F))),multiply(E,multiply(F,
% inverse(
% multiply(D,E,G)),G),D))
% <-> multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A) collapsed.
% Rule
% [14]
% multiply(multiply(A,B,C),inverse(multiply(multiply(D,E,F),inverse(multiply(D,E,F)),
% multiply(D,E,G))),multiply(E,multiply(G,
% inverse(
% multiply(D,E,a)),a),D))
% <-> multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A) collapsed.
% Current number of equations to process: 259
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [16]
% multiply(multiply(A,inverse(multiply(a,B,a)),a),multiply(C,inverse(multiply(B,
% multiply(A,
% inverse(
% multiply(a,B,a)),a),E)),E),B)
% <->
% multiply(multiply(A,inverse(multiply(a,B,a)),a),multiply(C,inverse(multiply(B,
% multiply(A,
% inverse(
% multiply(a,B,D)),D),a)),a),B)
% Current number of equations to process: 300
% Current number of ordered equations: 1
% Current number of rules: 8
% New rule produced :
% [17]
% multiply(multiply(A,inverse(multiply(a,B,a)),a),multiply(C,inverse(multiply(B,
% multiply(A,
% inverse(
% multiply(a,B,D)),D),a)),a),B)
% <->
% multiply(multiply(A,inverse(multiply(a,B,a)),a),multiply(C,inverse(multiply(B,
% multiply(A,
% inverse(
% multiply(a,B,a)),a),E)),E),B)
% Current number of equations to process: 300
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [18]
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,D)),D),E)),E),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,a)),a),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,a)),a),F)),F),C)
% Current number of equations to process: 333
% Current number of ordered equations: 1
% Current number of rules: 10
% New rule produced :
% [19]
% multiply(multiply(A,inverse(multiply(B,C,a)),a),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,a)),a),F)),F),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,D)),D),E)),E),C)
% Current number of equations to process: 333
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [20]
% multiply(multiply(A,inverse(multiply(a,inverse(a),a)),a),multiply(B,inverse(
% multiply(
% inverse(a),
% multiply(A,
% inverse(
% multiply(a,
% inverse(a),a)),a),C)),C),
% inverse(a)) ->
% multiply(multiply(A,inverse(multiply(a,inverse(a),a)),a),multiply(B,inverse(A),a),
% inverse(a))
% Current number of equations to process: 413
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [21]
% multiply(multiply(A,inverse(multiply(a,B,C)),C),multiply(D,inverse(multiply(B,
% multiply(A,
% inverse(
% multiply(a,B,C)),C),E)),E),B)
% <->
% multiply(multiply(A,inverse(multiply(a,B,C)),C),multiply(D,inverse(multiply(B,
% multiply(A,
% inverse(
% multiply(a,B,a)),a),a)),a),B)
% Current number of equations to process: 423
% Current number of ordered equations: 3
% Current number of rules: 13
% New rule produced :
% [22]
% multiply(multiply(A,inverse(multiply(a,B,C)),C),multiply(D,inverse(multiply(B,
% multiply(A,
% inverse(
% multiply(a,B,a)),a),a)),a),B)
% <->
% multiply(multiply(A,inverse(multiply(a,B,C)),C),multiply(D,inverse(multiply(B,
% multiply(A,
% inverse(
% multiply(a,B,C)),C),E)),E),B)
% Current number of equations to process: 423
% Current number of ordered equations: 2
% Current number of rules: 14
% New rule produced :
% [23]
% multiply(multiply(A,inverse(multiply(B,C,a)),a),multiply(D,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,a)),a),a)),a),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,a)),a),multiply(D,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,E)),E),B)),B),C)
% Current number of equations to process: 423
% Current number of ordered equations: 1
% Current number of rules: 15
% New rule produced :
% [24]
% multiply(multiply(A,inverse(multiply(B,C,a)),a),multiply(D,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,E)),E),B)),B),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,a)),a),multiply(D,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,a)),a),a)),a),C)
% Current number of equations to process: 423
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [25]
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(E,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,D)),D),a)),a),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(E,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,a)),a),B)),B),C)
% Current number of equations to process: 578
% Current number of ordered equations: 1
% Current number of rules: 17
% New rule produced :
% [26]
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(E,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,a)),a),B)),B),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(E,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,D)),D),a)),a),C)
% Current number of equations to process: 578
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [27]
% multiply(multiply(A,inverse(multiply(a,inverse(a),B)),B),multiply(C,inverse(
% multiply(
% inverse(a),
% multiply(A,
% inverse(
% multiply(a,
% inverse(a),B)),B),D)),D),
% inverse(a)) ->
% multiply(multiply(A,inverse(multiply(a,inverse(a),B)),B),multiply(C,inverse(A),a),
% inverse(a))
% Rule
% [20]
% multiply(multiply(A,inverse(multiply(a,inverse(a),a)),a),multiply(B,inverse(
% multiply(
% inverse(a),
% multiply(A,
% inverse(
% multiply(a,
% inverse(a),a)),a),C)),C),
% inverse(a)) ->
% multiply(multiply(A,inverse(multiply(a,inverse(a),a)),a),multiply(B,inverse(A),a),
% inverse(a)) collapsed.
% Current number of equations to process: 709
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [28]
% multiply(multiply(A,inverse(multiply(a,inverse(a),B)),B),multiply(a,inverse(A),a),
% inverse(a)) <->
% multiply(multiply(A,inverse(multiply(a,inverse(a),a)),a),multiply(a,inverse(A),a),
% inverse(a))
% Current number of equations to process: 718
% Current number of ordered equations: 1
% Current number of rules: 19
% New rule produced :
% [29]
% multiply(multiply(A,inverse(multiply(a,inverse(a),a)),a),multiply(a,inverse(A),a),
% inverse(a)) <->
% multiply(multiply(A,inverse(multiply(a,inverse(a),B)),B),multiply(a,inverse(A),a),
% inverse(a))
% Current number of equations to process: 718
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [30]
% multiply(multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(D,inverse(
% multiply(
% inverse(B),
% multiply(A,
% inverse(
% multiply(B,
% inverse(B),C)),C),a)),a),
% inverse(B)) ->
% multiply(multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(D,inverse(A),B),
% inverse(B))
% Current number of equations to process: 752
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [31]
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,D)),D),E)),E),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,F)),F),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,F)),F),G)),G),C)
% Rule
% [18]
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,D)),D),E)),E),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,a)),a),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,a)),a),F)),F),C)
% collapsed.
% Rule
% [19]
% multiply(multiply(A,inverse(multiply(B,C,a)),a),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,a)),a),F)),F),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,D)),D),E)),E),C)
% collapsed.
% Current number of equations to process: 773
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [32]
% multiply(multiply(A,inverse(multiply(a,inverse(a),B)),B),multiply(a,inverse(A),a),
% inverse(a)) <->
% multiply(multiply(A,inverse(multiply(a,inverse(a),C)),C),multiply(a,inverse(A),a),
% inverse(a))
% Rule
% [28]
% multiply(multiply(A,inverse(multiply(a,inverse(a),B)),B),multiply(a,inverse(A),a),
% inverse(a)) <->
% multiply(multiply(A,inverse(multiply(a,inverse(a),a)),a),multiply(a,inverse(A),a),
% inverse(a)) collapsed.
% Rule
% [29]
% multiply(multiply(A,inverse(multiply(a,inverse(a),a)),a),multiply(a,inverse(A),a),
% inverse(a)) <->
% multiply(multiply(A,inverse(multiply(a,inverse(a),B)),B),multiply(a,inverse(A),a),
% inverse(a)) collapsed.
% Current number of equations to process: 849
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [33]
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(E,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,D)),D),G)),G),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(E,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,F)),F),B)),B),C)
% Rule
% [16]
% multiply(multiply(A,inverse(multiply(a,B,a)),a),multiply(C,inverse(multiply(B,
% multiply(A,
% inverse(
% multiply(a,B,a)),a),E)),E),B)
% <->
% multiply(multiply(A,inverse(multiply(a,B,a)),a),multiply(C,inverse(multiply(B,
% multiply(A,
% inverse(
% multiply(a,B,D)),D),a)),a),B)
% collapsed.
% Rule
% [21]
% multiply(multiply(A,inverse(multiply(a,B,C)),C),multiply(D,inverse(multiply(B,
% multiply(A,
% inverse(
% multiply(a,B,C)),C),E)),E),B)
% <->
% multiply(multiply(A,inverse(multiply(a,B,C)),C),multiply(D,inverse(multiply(B,
% multiply(A,
% inverse(
% multiply(a,B,a)),a),a)),a),B)
% collapsed.
% Rule
% [23]
% multiply(multiply(A,inverse(multiply(B,C,a)),a),multiply(D,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,a)),a),a)),a),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,a)),a),multiply(D,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,E)),E),B)),B),C)
% collapsed.
% Rule
% [25]
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(E,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,D)),D),a)),a),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(E,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,a)),a),B)),B),C)
% collapsed.
% Current number of equations to process: 866
% Current number of ordered equations: 1
% Current number of rules: 16
% New rule produced :
% [34]
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(E,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,F)),F),B)),B),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(E,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,D)),D),G)),G),C)
% Rule
% [17]
% multiply(multiply(A,inverse(multiply(a,B,a)),a),multiply(C,inverse(multiply(B,
% multiply(A,
% inverse(
% multiply(a,B,D)),D),a)),a),B)
% <->
% multiply(multiply(A,inverse(multiply(a,B,a)),a),multiply(C,inverse(multiply(B,
% multiply(A,
% inverse(
% multiply(a,B,a)),a),E)),E),B)
% collapsed.
% Rule
% [22]
% multiply(multiply(A,inverse(multiply(a,B,C)),C),multiply(D,inverse(multiply(B,
% multiply(A,
% inverse(
% multiply(a,B,a)),a),a)),a),B)
% <->
% multiply(multiply(A,inverse(multiply(a,B,C)),C),multiply(D,inverse(multiply(B,
% multiply(A,
% inverse(
% multiply(a,B,C)),C),E)),E),B)
% collapsed.
% Rule
% [24]
% multiply(multiply(A,inverse(multiply(B,C,a)),a),multiply(D,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,E)),E),B)),B),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,a)),a),multiply(D,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,a)),a),a)),a),C)
% collapsed.
% Rule
% [26]
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(E,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,a)),a),B)),B),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(E,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,D)),D),a)),a),C)
% collapsed.
% Current number of equations to process: 866
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [35]
% multiply(multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(D,inverse(
% multiply(
% inverse(B),
% multiply(A,
% inverse(
% multiply(B,
% inverse(B),C)),C),E)),E),
% inverse(B)) ->
% multiply(multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(D,inverse(A),B),
% inverse(B))
% Rule
% [27]
% multiply(multiply(A,inverse(multiply(a,inverse(a),B)),B),multiply(C,inverse(
% multiply(
% inverse(a),
% multiply(A,
% inverse(
% multiply(a,
% inverse(a),B)),B),D)),D),
% inverse(a)) ->
% multiply(multiply(A,inverse(multiply(a,inverse(a),B)),B),multiply(C,inverse(A),a),
% inverse(a)) collapsed.
% Rule
% [30]
% multiply(multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(D,inverse(
% multiply(
% inverse(B),
% multiply(A,
% inverse(
% multiply(B,
% inverse(B),C)),C),a)),a),
% inverse(B)) ->
% multiply(multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(D,inverse(A),B),
% inverse(B)) collapsed.
% Current number of equations to process: 952
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [36]
% multiply(multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(B,inverse(A),B),
% inverse(B)) <->
% multiply(multiply(A,inverse(multiply(B,inverse(B),D)),D),multiply(B,inverse(A),B),
% inverse(B))
% Rule
% [32]
% multiply(multiply(A,inverse(multiply(a,inverse(a),B)),B),multiply(a,inverse(A),a),
% inverse(a)) <->
% multiply(multiply(A,inverse(multiply(a,inverse(a),C)),C),multiply(a,inverse(A),a),
% inverse(a)) collapsed.
% Current number of equations to process: 970
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [37]
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,E)),E),B)),B),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,a)),a),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,a)),a),F)),F),C)
% Current number of equations to process: 994
% Current number of ordered equations: 1
% Current number of rules: 13
% New rule produced :
% [38]
% multiply(multiply(A,inverse(multiply(B,C,a)),a),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,a)),a),F)),F),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,E)),E),B)),B),C)
% Current number of equations to process: 994
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [39]
% multiply(multiply(A,inverse(multiply(B,C,a)),a),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,D)),D),B)),B),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,E)),E),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,E)),E),F)),F),C)
% Current number of equations to process: 1094
% Current number of ordered equations: 1
% Current number of rules: 15
% New rule produced :
% [40]
% multiply(multiply(A,inverse(multiply(B,C,E)),E),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,E)),E),F)),F),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,a)),a),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,D)),D),B)),B),C)
% Current number of equations to process: 1094
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [41]
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,E)),E),B)),B),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,F)),F),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,F)),F),G)),G),C)
% Rule
% [37]
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,E)),E),B)),B),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,a)),a),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,a)),a),F)),F),C)
% collapsed.
% Rule
% [39]
% multiply(multiply(A,inverse(multiply(B,C,a)),a),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,D)),D),B)),B),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,E)),E),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,E)),E),F)),F),C)
% collapsed.
% Current number of equations to process: 1205
% Current number of ordered equations: 1
% Current number of rules: 15
% New rule produced :
% [42]
% multiply(multiply(A,inverse(multiply(B,C,F)),F),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,F)),F),G)),G),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,E)),E),B)),B),C)
% Rule
% [38]
% multiply(multiply(A,inverse(multiply(B,C,a)),a),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,a)),a),F)),F),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,E)),E),B)),B),C)
% collapsed.
% Rule
% [40]
% multiply(multiply(A,inverse(multiply(B,C,E)),E),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,E)),E),F)),F),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,a)),a),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,D)),D),B)),B),C)
% collapsed.
% Current number of equations to process: 1205
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [43]
% multiply(multiply(A,inverse(multiply(B,C,E)),E),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,F)),F),B)),B),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,a)),a),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,D)),D),B)),B),C)
% Current number of equations to process: 1305
% Current number of ordered equations: 1
% Current number of rules: 15
% New rule produced :
% [44]
% multiply(multiply(A,inverse(multiply(B,C,a)),a),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,D)),D),B)),B),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,E)),E),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,F)),F),B)),B),C)
% Current number of equations to process: 1305
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [45]
% multiply(multiply(A,inverse(multiply(B,C,F)),F),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,G)),G),B)),B),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,E)),E),B)),B),C)
% Rule
% [43]
% multiply(multiply(A,inverse(multiply(B,C,E)),E),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,F)),F),B)),B),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,a)),a),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,D)),D),B)),B),C)
% collapsed.
% Rule
% [44]
% multiply(multiply(A,inverse(multiply(B,C,a)),a),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,D)),D),B)),B),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,E)),E),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,F)),F),B)),B),C)
% collapsed.
% Current number of equations to process: 1421
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [46]
% multiply(multiply(A,inverse(multiply(G,inverse(G),a)),a),multiply(G,inverse(A),G),
% inverse(G)) <->
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,
% multiply(F,E,D),B))
% Current number of equations to process: 1482
% Current number of ordered equations: 1
% Current number of rules: 16
% New rule produced :
% [47]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,
% multiply(F,E,D),B))
% <->
% multiply(multiply(A,inverse(multiply(G,inverse(G),a)),a),multiply(G,inverse(A),G),
% inverse(G))
% Current number of equations to process: 1482
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [48]
% multiply(multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(B,inverse(A),B),
% inverse(B)) <->
% multiply(A,inverse(multiply(multiply(D,E,F),G,multiply(D,E,V_7))),multiply(E,
% multiply(V_7,G,F),D))
% Rule
% [46]
% multiply(multiply(A,inverse(multiply(G,inverse(G),a)),a),multiply(G,inverse(A),G),
% inverse(G)) <->
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,
% multiply(F,E,D),B))
% collapsed.
% Current number of equations to process: 1482
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [49]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(multiply(B,inverse(
% multiply(C,
% inverse(C),D)),D),
% multiply(C,inverse(B),C),
% inverse(C))) <->
% multiply(multiply(A,inverse(multiply(E,inverse(E),a)),a),multiply(E,inverse(A),E),
% inverse(E))
% Current number of equations to process: 1485
% Current number of ordered equations: 1
% Current number of rules: 18
% New rule produced :
% [50]
% multiply(multiply(A,inverse(multiply(E,inverse(E),a)),a),multiply(E,inverse(A),E),
% inverse(E)) <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(multiply(B,inverse(
% multiply(C,
% inverse(C),D)),D),
% multiply(C,inverse(B),C),
% inverse(C)))
% Current number of equations to process: 1485
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [51]
% multiply(A,inverse(multiply(multiply(B,C,D),inverse(multiply(B,C,D)),
% multiply(B,C,E))),multiply(C,multiply(E,inverse(multiply(B,C,F)),F),B))
% <->
% multiply(multiply(A,inverse(multiply(G,inverse(G),a)),a),multiply(G,inverse(A),G),
% inverse(G))
% Current number of equations to process: 1515
% Current number of ordered equations: 1
% Current number of rules: 20
% New rule produced :
% [52]
% multiply(multiply(A,inverse(multiply(G,inverse(G),a)),a),multiply(G,inverse(A),G),
% inverse(G)) <->
% multiply(A,inverse(multiply(multiply(B,C,D),inverse(multiply(B,C,D)),
% multiply(B,C,E))),multiply(C,multiply(E,inverse(multiply(B,C,F)),F),B))
% Current number of equations to process: 1515
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [53]
% multiply(multiply(A,inverse(multiply(E,inverse(E),a)),a),multiply(E,inverse(A),E),
% inverse(E)) <->
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),inverse(multiply(B,
% inverse(B),C)),
% multiply(B,inverse(B),D))),D)
% Current number of equations to process: 1530
% Current number of ordered equations: 1
% Current number of rules: 22
% New rule produced :
% [54]
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),inverse(multiply(B,
% inverse(B),C)),
% multiply(B,inverse(B),D))),D) <->
% multiply(multiply(A,inverse(multiply(E,inverse(E),a)),a),multiply(E,inverse(A),E),
% inverse(E))
% Current number of equations to process: 1530
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [55]
% multiply(A,inverse(multiply(multiply(B,C,D),multiply(E,inverse(multiply(D,
% inverse(D),F)),F),
% multiply(B,C,inverse(D)))),multiply(C,E,B)) <->
% multiply(multiply(A,inverse(multiply(G,inverse(G),a)),a),multiply(G,inverse(A),G),
% inverse(G))
% Current number of equations to process: 1533
% Current number of ordered equations: 1
% Current number of rules: 24
% New rule produced :
% [56]
% multiply(multiply(A,inverse(multiply(G,inverse(G),a)),a),multiply(G,inverse(A),G),
% inverse(G)) <->
% multiply(A,inverse(multiply(multiply(B,C,D),multiply(E,inverse(multiply(D,
% inverse(D),F)),F),
% multiply(B,C,inverse(D)))),multiply(C,E,B))
% Current number of equations to process: 1533
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [57]
% multiply(B,multiply(C,inverse(multiply(A,B,G)),G),A) <->
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),D)),multiply(multiply(D,
% inverse(
% multiply(E,
% inverse(E),F)),F),
% multiply(E,
% inverse(D),E),
% inverse(E)))
% Current number of equations to process: 1618
% Current number of ordered equations: 1
% Current number of rules: 26
% Rule [57]
% multiply(B,multiply(C,inverse(multiply(A,B,G)),G),A) <->
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),D)),multiply(
% multiply(D,
% inverse(
% multiply(E,
% inverse(E),F)),F),
% multiply(E,
% inverse(D),E),
% inverse(E))) is composed into 
% [57]
% multiply(B,multiply(C,inverse(multiply(A,B,G)),G),A) <->
% multiply(B,multiply(C,inverse(multiply(A,B,a)),a),A)
% New rule produced :
% [58]
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),D)),multiply(multiply(D,
% inverse(
% multiply(E,
% inverse(E),F)),F),
% multiply(E,
% inverse(D),E),
% inverse(E))) <->
% multiply(B,multiply(C,inverse(multiply(A,B,G)),G),A)
% Current number of equations to process: 1618
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [59]
% multiply(inverse(multiply(A,inverse(A),A)),multiply(B,inverse(A),multiply(
% multiply(A,
% inverse(
% multiply(C,
% inverse(C),D)),D),
% multiply(C,
% inverse(A),C),
% inverse(C))),
% multiply(A,inverse(A),A)) -> B
% Current number of equations to process: 1628
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [60]
% multiply(A,inverse(multiply(D,inverse(D),D)),multiply(multiply(D,inverse(
% multiply(E,
% inverse(E),F)),F),
% multiply(E,inverse(D),E),
% inverse(E))) <->
% multiply(multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(B,inverse(A),B),
% inverse(B))
% Rule
% [49]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(multiply(B,inverse(
% multiply(C,
% inverse(C),D)),D),
% multiply(C,inverse(B),C),
% inverse(C))) <->
% multiply(multiply(A,inverse(multiply(E,inverse(E),a)),a),multiply(E,inverse(A),E),
% inverse(E)) collapsed.
% Current number of equations to process: 1662
% Current number of ordered equations: 1
% Current number of rules: 28
% New rule produced :
% [61]
% multiply(multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(B,inverse(A),B),
% inverse(B)) <->
% multiply(A,inverse(multiply(D,inverse(D),D)),multiply(multiply(D,inverse(
% multiply(E,
% inverse(E),F)),F),
% multiply(E,inverse(D),E),
% inverse(E)))
% Rule
% [50]
% multiply(multiply(A,inverse(multiply(E,inverse(E),a)),a),multiply(E,inverse(A),E),
% inverse(E)) <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(multiply(B,inverse(
% multiply(C,
% inverse(C),D)),D),
% multiply(C,inverse(B),C),
% inverse(C))) collapsed.
% Current number of equations to process: 1662
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [62]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(
% multiply(C,D,E),F,
% multiply(C,D,G))),
% multiply(D,multiply(G,F,E),C)))
% <->
% multiply(multiply(A,inverse(multiply(V_7,inverse(V_7),a)),a),multiply(V_7,
% inverse(A),V_7),
% inverse(V_7))
% Current number of equations to process: 1661
% Current number of ordered equations: 1
% Current number of rules: 29
% New rule produced :
% [63]
% multiply(multiply(A,inverse(multiply(V_7,inverse(V_7),a)),a),multiply(V_7,
% inverse(A),V_7),
% inverse(V_7)) <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(
% multiply(C,D,E),F,
% multiply(C,D,G))),
% multiply(D,multiply(G,F,E),C)))
% Current number of equations to process: 1661
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [64]
% multiply(multiply(A,inverse(multiply(C,inverse(C),a)),a),multiply(C,inverse(A),C),
% inverse(C)) <->
% multiply(multiply(A,inverse(multiply(B,inverse(B),a)),a),multiply(B,inverse(A),B),
% inverse(B))
% Current number of equations to process: 1742
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [65]
% multiply(multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(B,inverse(A),B),
% inverse(B)) <->
% multiply(A,inverse(multiply(multiply(D,E,F),inverse(multiply(D,E,F)),
% multiply(D,E,G))),multiply(E,multiply(G,inverse(multiply(D,E,V_7)),V_7),D))
% Rule
% [52]
% multiply(multiply(A,inverse(multiply(G,inverse(G),a)),a),multiply(G,inverse(A),G),
% inverse(G)) <->
% multiply(A,inverse(multiply(multiply(B,C,D),inverse(multiply(B,C,D)),
% multiply(B,C,E))),multiply(C,multiply(E,inverse(multiply(B,C,F)),F),B))
% collapsed.
% Current number of equations to process: 1766
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [66]
% multiply(multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(B,inverse(A),B),
% inverse(B)) <->
% multiply(A,inverse(multiply(multiply(D,inverse(D),E),inverse(multiply(D,
% inverse(D),E)),
% multiply(D,inverse(D),F))),F)
% Rule
% [53]
% multiply(multiply(A,inverse(multiply(E,inverse(E),a)),a),multiply(E,inverse(A),E),
% inverse(E)) <->
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),inverse(multiply(B,
% inverse(B),C)),
% multiply(B,inverse(B),D))),D) collapsed.
% Current number of equations to process: 1784
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [67]
% multiply(multiply(A,inverse(multiply(E,inverse(E),a)),a),multiply(E,inverse(A),E),
% inverse(E)) <->
% multiply(A,inverse(multiply(B,inverse(B),multiply(multiply(B,inverse(B),C),
% inverse(multiply(B,inverse(B),C)),D))),D)
% Current number of equations to process: 1815
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced :
% [68]
% multiply(A,inverse(multiply(B,inverse(B),multiply(multiply(B,inverse(B),C),
% inverse(multiply(B,inverse(B),C)),D))),D)
% <->
% multiply(multiply(A,inverse(multiply(E,inverse(E),a)),a),multiply(E,inverse(A),E),
% inverse(E))
% Current number of equations to process: 1815
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [69]
% multiply(multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(B,inverse(A),B),
% inverse(B)) <->
% multiply(A,inverse(multiply(multiply(D,E,F),multiply(G,inverse(multiply(F,
% inverse(F),V_7)),V_7),
% multiply(D,E,inverse(F)))),multiply(E,G,D))
% Rule
% [56]
% multiply(multiply(A,inverse(multiply(G,inverse(G),a)),a),multiply(G,inverse(A),G),
% inverse(G)) <->
% multiply(A,inverse(multiply(multiply(B,C,D),multiply(E,inverse(multiply(D,
% inverse(D),F)),F),
% multiply(B,C,inverse(D)))),multiply(C,E,B)) collapsed.
% Current number of equations to process: 1938
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [70]
% multiply(A,inverse(multiply(G,inverse(G),G)),multiply(multiply(G,inverse(
% multiply(V_7,
% inverse(V_7),V_8)),V_8),
% multiply(V_7,inverse(G),V_7),
% inverse(V_7))) <->
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,
% multiply(F,E,D),B))
% Current number of equations to process: 2131
% Current number of ordered equations: 1
% Current number of rules: 34
% New rule produced :
% [71]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,
% multiply(F,E,D),B))
% <->
% multiply(A,inverse(multiply(G,inverse(G),G)),multiply(multiply(G,inverse(
% multiply(V_7,
% inverse(V_7),V_8)),V_8),
% multiply(V_7,inverse(G),V_7),
% inverse(V_7)))
% Current number of equations to process: 2131
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [72]
% multiply(B,multiply(C,inverse(multiply(A,B,V_9)),V_9),A) <->
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),D)),multiply(D,
% inverse(multiply(
% multiply(E,F,G),V_7,
% multiply(E,F,V_8))),
% multiply(F,
% multiply(V_8,V_7,G),E)))
% Current number of equations to process: 2167
% Current number of ordered equations: 1
% Current number of rules: 36
% Rule [72]
% multiply(B,multiply(C,inverse(multiply(A,B,V_9)),V_9),A) <->
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),D)),multiply(D,
% inverse(
% multiply(
% multiply(E,F,G),V_7,
% multiply(E,F,V_8))),
% multiply(F,
% multiply(V_8,V_7,G),E))) is composed into 
% [72]
% multiply(B,multiply(C,inverse(multiply(A,B,V_9)),V_9),A) <->
% multiply(B,multiply(C,inverse(multiply(A,B,a)),a),A)
% New rule produced :
% [73]
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),D)),multiply(D,
% inverse(multiply(
% multiply(E,F,G),V_7,
% multiply(E,F,V_8))),
% multiply(F,
% multiply(V_8,V_7,G),E)))
% <-> multiply(B,multiply(C,inverse(multiply(A,B,V_9)),V_9),A)
% Current number of equations to process: 2167
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [74]
% multiply(inverse(multiply(A,inverse(A),A)),multiply(B,inverse(A),multiply(A,
% inverse(
% multiply(
% multiply(C,D,E),F,
% multiply(C,D,G))),
% multiply(D,
% multiply(G,F,E),C))),
% multiply(A,inverse(A),A)) -> B
% Current number of equations to process: 2166
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [75]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(
% multiply(C,D,E),F,
% multiply(C,D,G))),
% multiply(D,multiply(G,F,E),C)))
% <->
% multiply(multiply(A,inverse(multiply(V_7,inverse(V_7),V_8)),V_8),multiply(V_7,
% inverse(A),V_7),
% inverse(V_7))
% Rule
% [62]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(
% multiply(C,D,E),F,
% multiply(C,D,G))),
% multiply(D,multiply(G,F,E),C)))
% <->
% multiply(multiply(A,inverse(multiply(V_7,inverse(V_7),a)),a),multiply(V_7,
% inverse(A),V_7),
% inverse(V_7)) collapsed.
% Current number of equations to process: 2165
% Current number of ordered equations: 1
% Current number of rules: 38
% New rule produced :
% [76]
% multiply(multiply(A,inverse(multiply(V_7,inverse(V_7),V_8)),V_8),multiply(V_7,
% inverse(A),V_7),
% inverse(V_7)) <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(
% multiply(C,D,E),F,
% multiply(C,D,G))),
% multiply(D,multiply(G,F,E),C)))
% Rule
% [63]
% multiply(multiply(A,inverse(multiply(V_7,inverse(V_7),a)),a),multiply(V_7,
% inverse(A),V_7),
% inverse(V_7)) <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(
% multiply(C,D,E),F,
% multiply(C,D,G))),
% multiply(D,multiply(G,F,E),C)))
% collapsed.
% Current number of equations to process: 2165
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [77]
% multiply(multiply(A,inverse(multiply(D,inverse(D),a)),a),multiply(D,inverse(A),D),
% inverse(D)) <->
% multiply(multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(B,inverse(A),B),
% inverse(B))
% Rule
% [64]
% multiply(multiply(A,inverse(multiply(C,inverse(C),a)),a),multiply(C,inverse(A),C),
% inverse(C)) <->
% multiply(multiply(A,inverse(multiply(B,inverse(B),a)),a),multiply(B,inverse(A),B),
% inverse(B)) collapsed.
% Current number of equations to process: 2166
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [78]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,
% multiply(F,E,D),B))
% <->
% multiply(A,inverse(multiply(multiply(G,inverse(G),V_7),inverse(multiply(G,
% inverse(G),V_7)),
% multiply(G,inverse(G),V_8))),V_8)
% Current number of equations to process: 2213
% Current number of ordered equations: 1
% Current number of rules: 39
% New rule produced :
% [79]
% multiply(A,inverse(multiply(multiply(G,inverse(G),V_7),inverse(multiply(G,
% inverse(G),V_7)),
% multiply(G,inverse(G),V_8))),V_8) <->
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,
% multiply(F,E,D),B))
% Current number of equations to process: 2213
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [80]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,
% multiply(F,E,D),B))
% <->
% multiply(A,inverse(multiply(G,inverse(G),multiply(multiply(G,inverse(G),V_7),
% inverse(multiply(G,inverse(G),V_7)),V_8))),V_8)
% Current number of equations to process: 2260
% Current number of ordered equations: 1
% Current number of rules: 41
% New rule produced :
% [81]
% multiply(A,inverse(multiply(G,inverse(G),multiply(multiply(G,inverse(G),V_7),
% inverse(multiply(G,inverse(G),V_7)),V_8))),V_8)
% <->
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,
% multiply(F,E,D),B))
% Current number of equations to process: 2260
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [82]
% multiply(multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(B,inverse(A),B),
% inverse(B)) <->
% multiply(A,inverse(multiply(D,inverse(D),multiply(multiply(D,inverse(D),E),
% inverse(multiply(D,inverse(D),E)),F))),F)
% Rule
% [67]
% multiply(multiply(A,inverse(multiply(E,inverse(E),a)),a),multiply(E,inverse(A),E),
% inverse(E)) <->
% multiply(A,inverse(multiply(B,inverse(B),multiply(multiply(B,inverse(B),C),
% inverse(multiply(B,inverse(B),C)),D))),D)
% collapsed.
% Current number of equations to process: 2276
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [83]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(multiply(B,inverse(
% multiply(C,
% inverse(C),D)),D),
% multiply(C,inverse(B),C),
% inverse(C))) <->
% multiply(A,inverse(multiply(multiply(E,inverse(E),F),inverse(multiply(E,
% inverse(E),F)),
% multiply(E,inverse(E),G))),G)
% Current number of equations to process: 2328
% Current number of ordered equations: 1
% Current number of rules: 43
% New rule produced :
% [84]
% multiply(A,inverse(multiply(multiply(E,inverse(E),F),inverse(multiply(E,
% inverse(E),F)),
% multiply(E,inverse(E),G))),G) <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(multiply(B,inverse(
% multiply(C,
% inverse(C),D)),D),
% multiply(C,inverse(B),C),
% inverse(C)))
% Current number of equations to process: 2328
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [85]
% multiply(A,inverse(multiply(multiply(G,V_7,V_8),multiply(V_9,inverse(
% multiply(V_8,
% inverse(V_8),V_10)),V_10),
% multiply(G,V_7,inverse(V_8)))),multiply(V_7,V_9,G)) <->
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,
% multiply(F,E,D),B))
% Current number of equations to process: 2356
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced :
% [86]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,
% multiply(F,E,D),B))
% <->
% multiply(A,inverse(multiply(multiply(G,V_7,V_8),multiply(V_9,inverse(
% multiply(V_8,
% inverse(V_8),V_10)),V_10),
% multiply(G,V_7,inverse(V_8)))),multiply(V_7,V_9,G))
% Current number of equations to process: 2356
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [87]
% multiply(A,inverse(multiply(multiply(E,F,G),multiply(V_7,inverse(multiply(G,
% inverse(G),V_8)),V_8),
% multiply(E,F,inverse(G)))),multiply(F,V_7,E)) <->
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),inverse(multiply(B,
% inverse(B),C)),
% multiply(B,inverse(B),D))),D)
% Current number of equations to process: 2394
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced :
% [88]
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),inverse(multiply(B,
% inverse(B),C)),
% multiply(B,inverse(B),D))),D) <->
% multiply(A,inverse(multiply(multiply(E,F,G),multiply(V_7,inverse(multiply(G,
% inverse(G),V_8)),V_8),
% multiply(E,F,inverse(G)))),multiply(F,V_7,E))
% Current number of equations to process: 2394
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [89]
% multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A) <->
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),D)),multiply(D,
% inverse(multiply(
% multiply(E,
% inverse(E),F),
% inverse(
% multiply(E,
% inverse(E),F)),
% multiply(E,
% inverse(E),G))),G))
% Current number of equations to process: 2585
% Current number of ordered equations: 1
% Current number of rules: 49
% Rule [89]
% multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A) <->
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),D)),multiply(D,
% inverse(
% multiply(
% multiply(E,
% inverse(E),F),
% inverse(
% multiply(E,
% inverse(E),F)),
% multiply(E,
% inverse(E),G))),G)) is composed into 
% [89]
% multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A) <->
% multiply(B,multiply(C,inverse(multiply(A,B,a)),a),A)
% New rule produced :
% [90]
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),D)),multiply(D,
% inverse(multiply(
% multiply(E,
% inverse(E),F),
% inverse(
% multiply(E,
% inverse(E),F)),
% multiply(E,
% inverse(E),G))),G))
% <-> multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A)
% Current number of equations to process: 2585
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [91]
% multiply(inverse(multiply(A,inverse(A),A)),multiply(B,inverse(A),multiply(A,
% inverse(
% multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),
% multiply(C,
% inverse(C),E))),E)),
% multiply(A,inverse(A),A)) -> B
% Current number of equations to process: 2584
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [92]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),
% multiply(C,
% inverse(C),E))),E))
% <->
% multiply(multiply(A,inverse(multiply(F,inverse(F),G)),G),multiply(F,inverse(A),F),
% inverse(F))
% Current number of equations to process: 2583
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced :
% [93]
% multiply(multiply(A,inverse(multiply(F,inverse(F),G)),G),multiply(F,inverse(A),F),
% inverse(F)) <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),
% multiply(C,
% inverse(C),E))),E))
% Current number of equations to process: 2583
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [94]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(multiply(B,inverse(
% multiply(C,
% inverse(C),D)),D),
% multiply(C,inverse(B),C),
% inverse(C))) <->
% multiply(A,inverse(multiply(E,inverse(E),E)),multiply(multiply(E,inverse(
% multiply(F,
% inverse(F),G)),G),
% multiply(F,inverse(E),F),
% inverse(F)))
% Current number of equations to process: 2582
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [95]
% multiply(multiply(A,inverse(multiply(D,inverse(D),E)),E),multiply(D,inverse(A),D),
% inverse(D)) <->
% multiply(multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(B,inverse(A),B),
% inverse(B))
% Rule
% [36]
% multiply(multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(B,inverse(A),B),
% inverse(B)) <->
% multiply(multiply(A,inverse(multiply(B,inverse(B),D)),D),multiply(B,inverse(A),B),
% inverse(B)) collapsed.
% Rule
% [77]
% multiply(multiply(A,inverse(multiply(D,inverse(D),a)),a),multiply(D,inverse(A),D),
% inverse(D)) <->
% multiply(multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(B,inverse(A),B),
% inverse(B)) collapsed.
% Current number of equations to process: 3179
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [96]
% multiply(A,inverse(multiply(multiply(E,inverse(E),F),inverse(multiply(E,
% inverse(E),F)),
% multiply(E,inverse(E),G))),G) <->
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),inverse(multiply(B,
% inverse(B),C)),
% multiply(B,inverse(B),D))),D)
% Current number of equations to process: 3254
% Current number of ordered equations: 0
% Current number of rules: 54
% Rule [83]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(multiply(B,
% inverse(multiply(C,
% inverse(C),D)),D),
% multiply(C,inverse(B),C),
% inverse(C))) <->
% multiply(A,inverse(multiply(multiply(E,inverse(E),F),inverse(multiply(E,
% inverse(E),F)),
% multiply(E,inverse(E),G))),G) is composed into 
% [83]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(multiply(B,inverse(
% multiply(C,
% inverse(C),D)),D),
% multiply(C,inverse(B),C),
% inverse(C))) <->
% multiply(A,inverse(multiply(E,inverse(E),multiply(multiply(E,inverse(E),F),
% inverse(multiply(E,inverse(E),F)),G))),G)
% New rule produced :
% [97]
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),inverse(multiply(B,
% inverse(B),C)),
% multiply(B,inverse(B),D))),D) <->
% multiply(A,inverse(multiply(E,inverse(E),multiply(multiply(E,inverse(E),F),
% inverse(multiply(E,inverse(E),F)),G))),G)
% Rule
% [84]
% multiply(A,inverse(multiply(multiply(E,inverse(E),F),inverse(multiply(E,
% inverse(E),F)),
% multiply(E,inverse(E),G))),G) <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(multiply(B,inverse(
% multiply(C,
% inverse(C),D)),D),
% multiply(C,inverse(B),C),
% inverse(C))) collapsed.
% Rule
% [90]
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),D)),multiply(D,
% inverse(multiply(
% multiply(E,
% inverse(E),F),
% inverse(
% multiply(E,
% inverse(E),F)),
% multiply(E,
% inverse(E),G))),G))
% <-> multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A) collapsed.
% Rule
% [96]
% multiply(A,inverse(multiply(multiply(E,inverse(E),F),inverse(multiply(E,
% inverse(E),F)),
% multiply(E,inverse(E),G))),G) <->
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),inverse(multiply(B,
% inverse(B),C)),
% multiply(B,inverse(B),D))),D) collapsed.
% Current number of equations to process: 3481
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced :
% [98]
% multiply(A,inverse(multiply(E,inverse(E),multiply(multiply(E,inverse(E),F),
% inverse(multiply(E,inverse(E),F)),G))),G)
% <->
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),inverse(multiply(B,
% inverse(B),C)),
% multiply(B,inverse(B),D))),D)
% Current number of equations to process: 3480
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [99]
% multiply(A,inverse(multiply(multiply(B,C,D),multiply(E,inverse(multiply(D,
% inverse(D),F)),F),
% multiply(B,C,inverse(D)))),multiply(C,E,B)) <->
% multiply(A,inverse(multiply(G,inverse(G),multiply(multiply(G,inverse(G),V_7),
% inverse(multiply(G,inverse(G),V_7)),V_8))),V_8)
% Current number of equations to process: 3726
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [100]
% multiply(A,inverse(multiply(G,inverse(G),multiply(multiply(G,inverse(G),V_7),
% inverse(multiply(G,inverse(G),V_7)),V_8))),V_8)
% <->
% multiply(A,inverse(multiply(multiply(B,C,D),multiply(E,inverse(multiply(D,
% inverse(D),F)),F),
% multiply(B,C,inverse(D)))),multiply(C,E,B))
% Current number of equations to process: 3726
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [101]
% multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A) <->
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),D)),multiply(D,
% inverse(multiply(E,
% inverse(E),
% multiply(
% multiply(E,
% inverse(E),F),
% inverse(
% multiply(E,
% inverse(E),F)),G))),G))
% Current number of equations to process: 4184
% Current number of ordered equations: 1
% Current number of rules: 56
% Rule [101]
% multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A) <->
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),D)),multiply(D,
% inverse(
% multiply(E,
% inverse(E),
% multiply(
% multiply(E,
% inverse(E),F),
% inverse(
% multiply(E,
% inverse(E),F)),G))),G)) is composed into 
% [101]
% multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A) <->
% multiply(B,multiply(C,inverse(multiply(A,B,a)),a),A)
% New rule produced :
% [102]
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),D)),multiply(D,
% inverse(multiply(E,
% inverse(E),
% multiply(
% multiply(E,
% inverse(E),F),
% inverse(
% multiply(E,
% inverse(E),F)),G))),G))
% <-> multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A)
% Current number of equations to process: 4184
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [103]
% multiply(inverse(multiply(A,inverse(A),A)),multiply(B,inverse(A),multiply(A,
% inverse(
% multiply(C,
% inverse(C),
% multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),E))),E)),
% multiply(A,inverse(A),A)) -> B
% Current number of equations to process: 4183
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [104]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(C,
% inverse(C),
% multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),E))),E))
% <->
% multiply(multiply(A,inverse(multiply(F,inverse(F),G)),G),multiply(F,inverse(A),F),
% inverse(F))
% Current number of equations to process: 4182
% Current number of ordered equations: 1
% Current number of rules: 59
% New rule produced :
% [105]
% multiply(multiply(A,inverse(multiply(F,inverse(F),G)),G),multiply(F,inverse(A),F),
% inverse(F)) <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(C,
% inverse(C),
% multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),E))),E))
% Current number of equations to process: 4182
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [106]
% multiply(A,inverse(multiply(multiply(G,V_7,V_8),inverse(multiply(G,V_7,V_8)),
% multiply(G,V_7,V_9))),multiply(V_7,multiply(V_9,inverse(
% multiply(G,V_7,V_10)),V_10),G))
% <->
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,
% multiply(F,E,D),B))
% Current number of equations to process: 4381
% Current number of ordered equations: 1
% Current number of rules: 61
% New rule produced :
% [107]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,
% multiply(F,E,D),B))
% <->
% multiply(A,inverse(multiply(multiply(G,V_7,V_8),inverse(multiply(G,V_7,V_8)),
% multiply(G,V_7,V_9))),multiply(V_7,multiply(V_9,inverse(
% multiply(G,V_7,V_10)),V_10),G))
% Current number of equations to process: 4381
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [108]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(
% multiply(C,D,E),F,
% multiply(C,D,G))),
% multiply(D,multiply(G,F,E),C)))
% <->
% multiply(A,inverse(multiply(multiply(V_7,V_8,V_9),V_10,multiply(V_7,V_8,V_11))),
% multiply(V_8,multiply(V_11,V_10,V_9),V_7))
% Current number of equations to process: 4380
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [109]
% multiply(A,inverse(multiply(multiply(V_7,V_8,V_9),V_10,multiply(V_7,V_8,V_11))),
% multiply(V_8,multiply(V_11,V_10,V_9),V_7)) <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(
% multiply(C,D,E),F,
% multiply(C,D,G))),
% multiply(D,multiply(G,F,E),C)))
% Current number of equations to process: 4380
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [110]
% multiply(A,inverse(multiply(E,inverse(E),multiply(multiply(E,inverse(E),F),
% inverse(multiply(E,inverse(E),F)),G))),G)
% <->
% multiply(A,inverse(multiply(B,inverse(B),multiply(multiply(B,inverse(B),C),
% inverse(multiply(B,inverse(B),C)),D))),D)
% Current number of equations to process: 4815
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [111]
% multiply(A,inverse(multiply(multiply(B,inverse(B),B),inverse(multiply(B,
% inverse(B),B)),
% multiply(B,inverse(B),C))),C) <->
% multiply(A,inverse(multiply(multiply(D,inverse(D),E),inverse(multiply(D,
% inverse(D),E)),
% multiply(D,inverse(D),F))),F)
% Current number of equations to process: 4895
% Current number of ordered equations: 1
% Current number of rules: 66
% New rule produced :
% [112]
% multiply(A,inverse(multiply(multiply(D,inverse(D),E),inverse(multiply(D,
% inverse(D),E)),
% multiply(D,inverse(D),F))),F) <->
% multiply(A,inverse(multiply(multiply(B,inverse(B),B),inverse(multiply(B,
% inverse(B),B)),
% multiply(B,inverse(B),C))),C)
% Current number of equations to process: 4895
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [113]
% multiply(B,multiply(C,inverse(multiply(A,B,G)),G),A) <->
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),D)),multiply(D,
% inverse(multiply(
% multiply(E,
% inverse(E),E),
% inverse(
% multiply(E,
% inverse(E),E)),
% multiply(E,
% inverse(E),F))),F))
% Current number of equations to process: 2935
% Current number of ordered equations: 1
% Current number of rules: 68
% Rule [113]
% multiply(B,multiply(C,inverse(multiply(A,B,G)),G),A) <->
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),D)),multiply(D,
% inverse(
% multiply(
% multiply(E,
% inverse(E),E),
% inverse(
% multiply(E,
% inverse(E),E)),
% multiply(E,
% inverse(E),F))),F)) is composed into 
% [113]
% multiply(B,multiply(C,inverse(multiply(A,B,G)),G),A) <->
% multiply(B,multiply(C,inverse(multiply(A,B,a)),a),A)
% New rule produced :
% [114]
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),D)),multiply(D,
% inverse(multiply(
% multiply(E,
% inverse(E),E),
% inverse(
% multiply(E,
% inverse(E),E)),
% multiply(E,
% inverse(E),F))),F))
% <-> multiply(B,multiply(C,inverse(multiply(A,B,G)),G),A)
% Current number of equations to process: 2935
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [115]
% multiply(A,inverse(multiply(multiply(G,V_7,V_8),V_9,multiply(G,V_7,V_10))),
% multiply(V_7,multiply(V_10,V_9,V_8),G)) <->
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,
% multiply(F,E,D),B))
% Current number of equations to process: 3336
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [116]
% multiply(A,inverse(multiply(multiply(B,C,D),inverse(multiply(B,C,D)),
% multiply(B,C,E))),multiply(C,multiply(E,inverse(multiply(B,C,F)),F),B))
% <->
% multiply(A,inverse(multiply(multiply(G,inverse(G),V_7),inverse(multiply(G,
% inverse(G),V_7)),
% multiply(G,inverse(G),V_8))),V_8)
% Current number of equations to process: 2645
% Current number of ordered equations: 1
% Current number of rules: 71
% New rule produced :
% [117]
% multiply(A,inverse(multiply(multiply(G,inverse(G),V_7),inverse(multiply(G,
% inverse(G),V_7)),
% multiply(G,inverse(G),V_8))),V_8) <->
% multiply(A,inverse(multiply(multiply(B,C,D),inverse(multiply(B,C,D)),
% multiply(B,C,E))),multiply(C,multiply(E,inverse(multiply(B,C,F)),F),B))
% Current number of equations to process: 2645
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [118]
% multiply(A,inverse(multiply(multiply(E,F,G),multiply(V_7,inverse(multiply(G,
% inverse(G),V_8)),V_8),
% multiply(E,F,inverse(G)))),multiply(F,V_7,E)) <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(multiply(B,inverse(
% multiply(C,
% inverse(C),D)),D),
% multiply(C,inverse(B),C),
% inverse(C)))
% Current number of equations to process: 2754
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [119]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(multiply(B,inverse(
% multiply(C,
% inverse(C),D)),D),
% multiply(C,inverse(B),C),
% inverse(C))) <->
% multiply(A,inverse(multiply(multiply(E,F,G),multiply(V_7,inverse(multiply(G,
% inverse(G),V_8)),V_8),
% multiply(E,F,inverse(G)))),multiply(F,V_7,E))
% Current number of equations to process: 2754
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [120]
% multiply(A,inverse(multiply(E,inverse(E),E)),multiply(E,inverse(multiply(
% multiply(F,G,V_7),V_8,
% multiply(F,G,V_9))),
% multiply(G,multiply(V_9,V_8,V_7),F)))
% <->
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),inverse(multiply(B,
% inverse(B),C)),
% multiply(B,inverse(B),D))),D)
% Current number of equations to process: 2752
% Current number of ordered equations: 1
% Current number of rules: 75
% New rule produced :
% [121]
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),inverse(multiply(B,
% inverse(B),C)),
% multiply(B,inverse(B),D))),D) <->
% multiply(A,inverse(multiply(E,inverse(E),E)),multiply(E,inverse(multiply(
% multiply(F,G,V_7),V_8,
% multiply(F,G,V_9))),
% multiply(G,multiply(V_9,V_8,V_7),F)))
% Current number of equations to process: 2752
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [122]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(
% multiply(C,D,E),F,
% multiply(C,D,G))),
% multiply(D,multiply(G,F,E),C)))
% <->
% multiply(A,inverse(multiply(V_7,inverse(V_7),multiply(multiply(V_7,inverse(V_7),V_8),
% inverse(multiply(V_7,inverse(V_7),V_8)),V_9))),V_9)
% Current number of equations to process: 2748
% Current number of ordered equations: 1
% Current number of rules: 77
% New rule produced :
% [123]
% multiply(A,inverse(multiply(V_7,inverse(V_7),multiply(multiply(V_7,inverse(V_7),V_8),
% inverse(multiply(V_7,inverse(V_7),V_8)),V_9))),V_9)
% <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(
% multiply(C,D,E),F,
% multiply(C,D,G))),
% multiply(D,multiply(G,F,E),C)))
% Current number of equations to process: 2748
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [124]
% multiply(A,inverse(multiply(multiply(B,C,D),inverse(multiply(B,C,D)),
% multiply(B,C,E))),multiply(C,multiply(E,inverse(multiply(B,C,F)),F),B))
% <->
% multiply(A,inverse(multiply(G,inverse(G),multiply(multiply(G,inverse(G),V_7),
% inverse(multiply(G,inverse(G),V_7)),V_8))),V_8)
% Current number of equations to process: 2747
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced :
% [125]
% multiply(A,inverse(multiply(G,inverse(G),multiply(multiply(G,inverse(G),V_7),
% inverse(multiply(G,inverse(G),V_7)),V_8))),V_8)
% <->
% multiply(A,inverse(multiply(multiply(B,C,D),inverse(multiply(B,C,D)),
% multiply(B,C,E))),multiply(C,multiply(E,inverse(multiply(B,C,F)),F),B))
% Current number of equations to process: 2747
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [126]
% multiply(A,inverse(multiply(E,inverse(E),E)),multiply(multiply(E,inverse(
% multiply(F,
% inverse(F),G)),G),
% multiply(F,inverse(E),F),
% inverse(F))) <->
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),inverse(multiply(B,
% inverse(B),C)),
% multiply(B,inverse(B),D))),D)
% Current number of equations to process: 3186
% Current number of ordered equations: 1
% Current number of rules: 81
% New rule produced :
% [127]
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),inverse(multiply(B,
% inverse(B),C)),
% multiply(B,inverse(B),D))),D) <->
% multiply(A,inverse(multiply(E,inverse(E),E)),multiply(multiply(E,inverse(
% multiply(F,
% inverse(F),G)),G),
% multiply(F,inverse(E),F),
% inverse(F)))
% Current number of equations to process: 3186
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [128]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),
% multiply(C,
% inverse(C),E))),E))
% <->
% multiply(A,inverse(multiply(multiply(F,G,V_7),V_8,multiply(F,G,V_9))),
% multiply(G,multiply(V_9,V_8,V_7),F))
% Current number of equations to process: 4653
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [129]
% multiply(A,inverse(multiply(multiply(F,G,V_7),V_8,multiply(F,G,V_9))),
% multiply(G,multiply(V_9,V_8,V_7),F)) <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),
% multiply(C,
% inverse(C),E))),E))
% Current number of equations to process: 4653
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [130]
% multiply(multiply(C,A,B),inverse(multiply(E,inverse(E),E)),multiply(E,
% inverse(multiply(
% multiply(F,
% inverse(F),G),
% inverse(
% multiply(F,
% inverse(F),G)),
% multiply(F,
% inverse(F),V_7))),V_7))
% <-> multiply(A,multiply(B,inverse(multiply(C,A,D)),D),C)
% Rule
% [114]
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),D)),multiply(D,
% inverse(multiply(
% multiply(E,
% inverse(E),E),
% inverse(
% multiply(E,
% inverse(E),E)),
% multiply(E,
% inverse(E),F))),F))
% <-> multiply(B,multiply(C,inverse(multiply(A,B,G)),G),A) collapsed.
% Current number of equations to process: 4885
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [131]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(C,
% inverse(C),
% multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),E))),E))
% <->
% multiply(A,inverse(multiply(multiply(F,G,V_7),V_8,multiply(F,G,V_9))),
% multiply(G,multiply(V_9,V_8,V_7),F))
% Current number of equations to process: 2053
% Current number of ordered equations: 1
% Current number of rules: 85
% New rule produced :
% [132]
% multiply(A,inverse(multiply(multiply(F,G,V_7),V_8,multiply(F,G,V_9))),
% multiply(G,multiply(V_9,V_8,V_7),F)) <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(C,
% inverse(C),
% multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),E))),E))
% Current number of equations to process: 2053
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [133]
% multiply(A,inverse(multiply(multiply(G,V_7,V_8),multiply(V_9,inverse(
% multiply(V_8,
% inverse(V_8),V_10)),V_10),
% multiply(G,V_7,inverse(V_8)))),multiply(V_7,V_9,G)) <->
% multiply(A,inverse(multiply(multiply(B,C,D),multiply(E,inverse(multiply(D,
% inverse(D),F)),F),
% multiply(B,C,inverse(D)))),multiply(C,E,B))
% Current number of equations to process: 2514
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [134]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),
% multiply(C,
% inverse(C),E))),E))
% <->
% multiply(A,inverse(multiply(F,inverse(F),multiply(multiply(F,inverse(F),G),
% inverse(multiply(F,inverse(F),G)),V_7))),V_7)
% Current number of equations to process: 2798
% Current number of ordered equations: 1
% Current number of rules: 88
% New rule produced :
% [135]
% multiply(A,inverse(multiply(F,inverse(F),multiply(multiply(F,inverse(F),G),
% inverse(multiply(F,inverse(F),G)),V_7))),V_7)
% <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),
% multiply(C,
% inverse(C),E))),E))
% Current number of equations to process: 2798
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [136]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(C,
% inverse(C),
% multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),E))),E))
% <->
% multiply(A,inverse(multiply(F,inverse(F),multiply(multiply(F,inverse(F),G),
% inverse(multiply(F,inverse(F),G)),V_7))),V_7)
% Current number of equations to process: 3026
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced :
% [137]
% multiply(A,inverse(multiply(F,inverse(F),multiply(multiply(F,inverse(F),G),
% inverse(multiply(F,inverse(F),G)),V_7))),V_7)
% <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(C,
% inverse(C),
% multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),E))),E))
% Current number of equations to process: 3026
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [138]
% multiply(A,inverse(multiply(E,inverse(E),E)),multiply(E,inverse(multiply(
% multiply(F,
% inverse(F),G),
% inverse(
% multiply(F,
% inverse(F),G)),
% multiply(F,
% inverse(F),V_7))),V_7))
% <->
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),inverse(multiply(B,
% inverse(B),C)),
% multiply(B,inverse(B),D))),D)
% Current number of equations to process: 3244
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced :
% [139]
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),inverse(multiply(B,
% inverse(B),C)),
% multiply(B,inverse(B),D))),D) <->
% multiply(A,inverse(multiply(E,inverse(E),E)),multiply(E,inverse(multiply(
% multiply(F,
% inverse(F),G),
% inverse(
% multiply(F,
% inverse(F),G)),
% multiply(F,
% inverse(F),V_7))),V_7))
% Current number of equations to process: 3244
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [140]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(C,
% inverse(C),
% multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),E))),E))
% <->
% multiply(A,inverse(multiply(multiply(F,inverse(F),G),inverse(multiply(F,
% inverse(F),G)),
% multiply(F,inverse(F),V_7))),V_7)
% Current number of equations to process: 3479
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [141]
% multiply(A,inverse(multiply(multiply(F,inverse(F),G),inverse(multiply(F,
% inverse(F),G)),
% multiply(F,inverse(F),V_7))),V_7) <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(C,
% inverse(C),
% multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),E))),E))
% Current number of equations to process: 3479
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [142]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(multiply(B,inverse(
% multiply(C,
% inverse(C),D)),D),
% multiply(C,inverse(B),C),
% inverse(C))) <->
% multiply(A,inverse(multiply(multiply(E,F,G),inverse(multiply(E,F,G)),
% multiply(E,F,V_7))),multiply(F,multiply(V_7,inverse(
% multiply(E,F,V_8)),V_8),E))
% Current number of equations to process: 3654
% Current number of ordered equations: 1
% Current number of rules: 96
% New rule produced :
% [143]
% multiply(A,inverse(multiply(multiply(E,F,G),inverse(multiply(E,F,G)),
% multiply(E,F,V_7))),multiply(F,multiply(V_7,inverse(
% multiply(E,F,V_8)),V_8),E))
% <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(multiply(B,inverse(
% multiply(C,
% inverse(C),D)),D),
% multiply(C,inverse(B),C),
% inverse(C)))
% Current number of equations to process: 3654
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [144]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(
% multiply(C,D,E),F,
% multiply(C,D,G))),
% multiply(D,multiply(G,F,E),C)))
% <->
% multiply(A,inverse(multiply(V_7,inverse(V_7),V_7)),multiply(multiply(V_7,
% inverse(multiply(V_8,
% inverse(V_8),V_9)),V_9),
% multiply(V_8,inverse(V_7),V_8),
% inverse(V_8)))
% Current number of equations to process: 4149
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [145]
% multiply(A,inverse(multiply(V_7,inverse(V_7),V_7)),multiply(multiply(V_7,
% inverse(multiply(V_8,
% inverse(V_8),V_9)),V_9),
% multiply(V_8,inverse(V_7),V_8),
% inverse(V_8))) <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(
% multiply(C,D,E),F,
% multiply(C,D,G))),
% multiply(D,multiply(G,F,E),C)))
% Current number of equations to process: 4149
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [146]
% multiply(A,inverse(multiply(multiply(G,V_7,V_8),multiply(V_9,inverse(
% multiply(V_8,
% inverse(V_8),V_10)),V_10),
% multiply(G,V_7,inverse(V_8)))),multiply(V_7,V_9,G)) <->
% multiply(A,inverse(multiply(multiply(B,C,D),inverse(multiply(B,C,D)),
% multiply(B,C,E))),multiply(C,multiply(E,inverse(multiply(B,C,F)),F),B))
% Current number of equations to process: 4496
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [147]
% multiply(A,inverse(multiply(multiply(B,C,D),inverse(multiply(B,C,D)),
% multiply(B,C,E))),multiply(C,multiply(E,inverse(multiply(B,C,F)),F),B))
% <->
% multiply(A,inverse(multiply(multiply(G,V_7,V_8),multiply(V_9,inverse(
% multiply(V_8,
% inverse(V_8),V_10)),V_10),
% multiply(G,V_7,inverse(V_8)))),multiply(V_7,V_9,G))
% Current number of equations to process: 4496
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [148]
% multiply(A,inverse(multiply(multiply(B,C,D),multiply(E,inverse(multiply(D,
% inverse(D),F)),F),
% multiply(B,C,inverse(D)))),multiply(C,E,B)) <->
% multiply(A,inverse(multiply(G,inverse(G),G)),multiply(G,inverse(multiply(
% multiply(V_7,V_8,V_9),V_10,
% multiply(V_7,V_8,V_11))),
% multiply(V_8,multiply(V_11,V_10,V_9),V_7)))
% Current number of equations to process: 1834
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [149]
% multiply(A,inverse(multiply(G,inverse(G),G)),multiply(G,inverse(multiply(
% multiply(V_7,V_8,V_9),V_10,
% multiply(V_7,V_8,V_11))),
% multiply(V_8,multiply(V_11,V_10,V_9),V_7)))
% <->
% multiply(A,inverse(multiply(multiply(B,C,D),multiply(E,inverse(multiply(D,
% inverse(D),F)),F),
% multiply(B,C,inverse(D)))),multiply(C,E,B))
% Current number of equations to process: 1834
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [150]
% multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(E,
% multiply(F,G,V_7),V_8)),
% inverse(multiply(multiply(V_8,E,V_7),G,
% multiply(V_8,E,F))),
% multiply(C,D,multiply(V_9,inverse(V_9),V_10)))),
% multiply(D,V_10,C)) -> B
% Current number of equations to process: 2441
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [151]
% multiply(multiply(A,B,C),inverse(multiply(multiply(D,inverse(D),E),multiply(
% multiply(F,
% inverse(
% multiply(D,
% inverse(D),G)),G),
% inverse(
% multiply(E,
% inverse(E),a)),a),
% multiply(D,inverse(D),inverse(E)))),F) <->
% multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A)
% Current number of equations to process: 3131
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [152]
% multiply(B,multiply(C,inverse(multiply(A,B,V_8)),V_8),A) <->
% multiply(multiply(A,B,C),inverse(multiply(multiply(D,inverse(D),E),multiply(
% multiply(F,
% inverse(
% multiply(D,
% inverse(D),G)),G),
% inverse(
% multiply(E,
% inverse(E),V_7)),V_7),
% multiply(D,inverse(D),inverse(E)))),F)
% Current number of equations to process: 3487
% Current number of ordered equations: 1
% Current number of rules: 106
% Rule [152]
% multiply(B,multiply(C,inverse(multiply(A,B,V_8)),V_8),A) <->
% multiply(multiply(A,B,C),inverse(multiply(multiply(D,inverse(D),E),
% multiply(multiply(F,inverse(multiply(D,
% inverse(D),G)),G),
% inverse(multiply(E,inverse(E),V_7)),V_7),
% multiply(D,inverse(D),inverse(E)))),F) is composed into 
% [152]
% multiply(B,multiply(C,inverse(multiply(A,B,V_8)),V_8),A) <->
% multiply(B,multiply(C,inverse(multiply(A,B,a)),a),A)
% New rule produced :
% [153]
% multiply(multiply(A,B,C),inverse(multiply(multiply(D,inverse(D),E),multiply(
% multiply(F,
% inverse(
% multiply(D,
% inverse(D),G)),G),
% inverse(
% multiply(E,
% inverse(E),V_7)),V_7),
% multiply(D,inverse(D),inverse(E)))),F) <->
% multiply(B,multiply(C,inverse(multiply(A,B,V_8)),V_8),A)
% Rule
% [151]
% multiply(multiply(A,B,C),inverse(multiply(multiply(D,inverse(D),E),multiply(
% multiply(F,
% inverse(
% multiply(D,
% inverse(D),G)),G),
% inverse(
% multiply(E,
% inverse(E),a)),a),
% multiply(D,inverse(D),inverse(E)))),F) <->
% multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A) collapsed.
% Current number of equations to process: 3487
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [154]
% multiply(multiply(A,inverse(multiply(G,inverse(G),a)),a),multiply(G,inverse(A),G),
% inverse(G)) <->
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),multiply(multiply(D,
% inverse(
% multiply(B,
% inverse(B),E)),E),
% inverse(multiply(C,
% inverse(C),F)),F),
% multiply(B,inverse(B),inverse(C)))),D)
% Current number of equations to process: 4113
% Current number of ordered equations: 1
% Current number of rules: 107
% New rule produced :
% [155]
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),multiply(multiply(D,
% inverse(
% multiply(B,
% inverse(B),E)),E),
% inverse(multiply(C,
% inverse(C),F)),F),
% multiply(B,inverse(B),inverse(C)))),D) <->
% multiply(multiply(A,inverse(multiply(G,inverse(G),a)),a),multiply(G,inverse(A),G),
% inverse(G))
% Current number of equations to process: 4113
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [156]
% multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A) <->
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),D)),multiply(D,
% inverse(multiply(E,
% inverse(E),E)),
% multiply(multiply(E,
% inverse(
% multiply(F,
% inverse(F),G)),G),
% multiply(F,
% inverse(E),F),
% inverse(F))))
% Current number of equations to process: 4464
% Current number of ordered equations: 1
% Current number of rules: 109
% Rule [156]
% multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A) <->
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),D)),multiply(D,
% inverse(
% multiply(E,
% inverse(E),E)),
% multiply(
% multiply(E,
% inverse(
% multiply(F,
% inverse(F),G)),G),
% multiply(F,
% inverse(E),F),
% inverse(F)))) is composed into 
% [156]
% multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A) <->
% multiply(B,multiply(C,inverse(multiply(A,B,a)),a),A)
% New rule produced :
% [157]
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),D)),multiply(D,
% inverse(multiply(E,
% inverse(E),E)),
% multiply(multiply(E,
% inverse(
% multiply(F,
% inverse(F),G)),G),
% multiply(F,
% inverse(E),F),
% inverse(F)))) <->
% multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A)
% Current number of equations to process: 4464
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [158]
% multiply(inverse(multiply(A,inverse(A),A)),multiply(B,inverse(A),multiply(A,
% inverse(
% multiply(C,
% inverse(C),C)),
% multiply(
% multiply(C,
% inverse(
% multiply(D,
% inverse(D),E)),E),
% multiply(D,
% inverse(C),D),
% inverse(D)))),
% multiply(A,inverse(A),A)) -> B
% Current number of equations to process: 4991
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [159]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(C,
% inverse(C),C)),
% multiply(multiply(C,inverse(
% multiply(D,
% inverse(D),E)),E),
% multiply(D,inverse(C),D),
% inverse(D)))) <->
% multiply(multiply(A,inverse(multiply(F,inverse(F),G)),G),multiply(F,inverse(A),F),
% inverse(F))
% Current number of equations to process: 2865
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [160]
% multiply(multiply(A,inverse(multiply(F,inverse(F),G)),G),multiply(F,inverse(A),F),
% inverse(F)) <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(C,
% inverse(C),C)),
% multiply(multiply(C,inverse(
% multiply(D,
% inverse(D),E)),E),
% multiply(D,inverse(C),D),
% inverse(D))))
% Current number of equations to process: 2865
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [161]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(multiply(B,inverse(
% multiply(C,
% inverse(C),D)),D),
% multiply(C,inverse(B),C),
% inverse(C))) <->
% multiply(A,inverse(multiply(E,inverse(E),E)),multiply(E,inverse(multiply(
% multiply(F,
% inverse(F),G),
% inverse(
% multiply(F,
% inverse(F),G)),
% multiply(F,
% inverse(F),V_7))),V_7))
% Current number of equations to process: 3143
% Current number of ordered equations: 1
% Current number of rules: 114
% New rule produced :
% [162]
% multiply(A,inverse(multiply(E,inverse(E),E)),multiply(E,inverse(multiply(
% multiply(F,
% inverse(F),G),
% inverse(
% multiply(F,
% inverse(F),G)),
% multiply(F,
% inverse(F),V_7))),V_7))
% <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(multiply(B,inverse(
% multiply(C,
% inverse(C),D)),D),
% multiply(C,inverse(B),C),
% inverse(C)))
% Current number of equations to process: 3143
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [163]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(C,
% inverse(C),
% multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),E))),E))
% <->
% multiply(A,inverse(multiply(F,inverse(F),F)),multiply(multiply(F,inverse(
% multiply(G,
% inverse(G),V_7)),V_7),
% multiply(G,inverse(F),G),
% inverse(G)))
% Current number of equations to process: 3374
% Current number of ordered equations: 1
% Current number of rules: 116
% New rule produced :
% [164]
% multiply(A,inverse(multiply(F,inverse(F),F)),multiply(multiply(F,inverse(
% multiply(G,
% inverse(G),V_7)),V_7),
% multiply(G,inverse(F),G),
% inverse(G))) <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(C,
% inverse(C),
% multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),E))),E))
% Current number of equations to process: 3374
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [165]
% multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),multiply(
% multiply(F,
% multiply(C,D,E),
% multiply(G,
% inverse(G),V_7)),
% inverse(
% multiply(F,
% multiply(C,D,E),V_8)),V_8),F)),
% multiply(multiply(C,D,E),V_7,F)) -> B
% Current number of equations to process: 3567
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [166]
% multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(D,C,
% multiply(E,
% inverse(E),F)),
% inverse(multiply(D,C,G)),G),D)),
% multiply(C,F,D)) -> B
% Rule
% [165]
% multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),multiply(
% multiply(F,
% multiply(C,D,E),
% multiply(G,
% inverse(G),V_7)),
% inverse(
% multiply(F,
% multiply(C,D,E),V_8)),V_8),F)),
% multiply(multiply(C,D,E),V_7,F)) -> B collapsed.
% Current number of equations to process: 3568
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [167]
% multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(D,
% inverse(D),E))),
% multiply(inverse(C),E,C)) -> B
% Current number of equations to process: 3655
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [168]
% multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(D,
% inverse(D),
% multiply(E,
% inverse(
% multiply(C,
% inverse(C),F)),F)))),E)
% -> B
% Current number of equations to process: 3654
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [169]
% multiply(multiply(A,inverse(multiply(G,inverse(G),V_7)),V_7),multiply(G,
% inverse(A),G),
% inverse(G)) <->
% multiply(A,inverse(multiply(B,multiply(multiply(C,B,multiply(D,inverse(D),E)),
% inverse(multiply(C,B,F)),F),C)),multiply(B,E,C))
% Current number of equations to process: 3669
% Current number of ordered equations: 1
% Current number of rules: 121
% New rule produced :
% [170]
% multiply(A,inverse(multiply(B,multiply(multiply(C,B,multiply(D,inverse(D),E)),
% inverse(multiply(C,B,F)),F),C)),multiply(B,E,C))
% <->
% multiply(multiply(A,inverse(multiply(G,inverse(G),V_7)),V_7),multiply(G,
% inverse(A),G),
% inverse(G))
% Current number of equations to process: 3669
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [171]
% multiply(multiply(A,B,C),inverse(multiply(D,multiply(multiply(E,D,multiply(F,
% inverse(F),G)),
% inverse(multiply(E,D,V_7)),V_7),E)),
% multiply(D,G,E)) <-> multiply(B,multiply(C,inverse(multiply(A,B,V_8)),V_8),A)
% Rule
% [166]
% multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(D,C,
% multiply(E,
% inverse(E),F)),
% inverse(multiply(D,C,G)),G),D)),
% multiply(C,F,D)) -> B collapsed.
% Current number of equations to process: 3668
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced : [172] multiply(inverse(B),A,B) -> A
% Rule
% [7]
% multiply(inverse(B),multiply(A,inverse(multiply(B,inverse(B),C)),C),B) -> A
% collapsed.
% Rule
% [59]
% multiply(inverse(multiply(A,inverse(A),A)),multiply(B,inverse(A),multiply(
% multiply(A,
% inverse(
% multiply(C,
% inverse(C),D)),D),
% multiply(C,
% inverse(A),C),
% inverse(C))),
% multiply(A,inverse(A),A)) -> B collapsed.
% Rule
% [74]
% multiply(inverse(multiply(A,inverse(A),A)),multiply(B,inverse(A),multiply(A,
% inverse(
% multiply(
% multiply(C,D,E),F,
% multiply(C,D,G))),
% multiply(D,
% multiply(G,F,E),C))),
% multiply(A,inverse(A),A)) -> B collapsed.
% Rule
% [91]
% multiply(inverse(multiply(A,inverse(A),A)),multiply(B,inverse(A),multiply(A,
% inverse(
% multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),
% multiply(C,
% inverse(C),E))),E)),
% multiply(A,inverse(A),A)) -> B collapsed.
% Rule
% [103]
% multiply(inverse(multiply(A,inverse(A),A)),multiply(B,inverse(A),multiply(A,
% inverse(
% multiply(C,
% inverse(C),
% multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),E))),E)),
% multiply(A,inverse(A),A)) -> B collapsed.
% Rule
% [158]
% multiply(inverse(multiply(A,inverse(A),A)),multiply(B,inverse(A),multiply(A,
% inverse(
% multiply(C,
% inverse(C),C)),
% multiply(
% multiply(C,
% inverse(
% multiply(D,
% inverse(D),E)),E),
% multiply(D,
% inverse(C),D),
% inverse(D)))),
% multiply(A,inverse(A),A)) -> B collapsed.
% Rule
% [167]
% multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(D,
% inverse(D),E))),
% multiply(inverse(C),E,C)) -> B collapsed.
% Current number of equations to process: 3683
% Current number of ordered equations: 0
% Current number of rules: 116
% Rule [170]
% multiply(A,inverse(multiply(B,multiply(multiply(C,B,multiply(D,inverse(D),E)),
% inverse(multiply(C,B,F)),F),C)),multiply(B,E,C))
% <->
% multiply(multiply(A,inverse(multiply(G,inverse(G),V_7)),V_7),multiply(G,
% inverse(A),G),
% inverse(G)) is composed into [170]
% multiply(A,inverse(multiply(B,multiply(
% multiply(C,B,
% multiply(D,
% inverse(D),E)),
% inverse(
% multiply(C,B,F)),F),C)),
% multiply(B,E,C)) <->
% multiply(A,multiply(G,inverse(A),G),
% inverse(G))
% Rule [163]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(
% multiply(C,
% inverse(C),
% multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),E))),E))
% <->
% multiply(A,inverse(multiply(F,inverse(F),F)),multiply(multiply(F,
% inverse(multiply(G,
% inverse(G),V_7)),V_7),
% multiply(G,inverse(F),G),
% inverse(G))) is composed into 
% [163]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(C,
% inverse(C),
% multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),E))),E))
% <->
% multiply(A,inverse(multiply(F,inverse(F),F)),multiply(F,multiply(G,inverse(F),G),
% inverse(G)))
% Rule [162]
% multiply(A,inverse(multiply(E,inverse(E),E)),multiply(E,inverse(
% multiply(
% multiply(F,
% inverse(F),G),
% inverse(
% multiply(F,
% inverse(F),G)),
% multiply(F,
% inverse(F),V_7))),V_7))
% <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(multiply(B,
% inverse(multiply(C,
% inverse(C),D)),D),
% multiply(C,inverse(B),C),
% inverse(C))) is composed into 
% [162]
% multiply(A,inverse(multiply(E,inverse(E),E)),multiply(E,inverse(multiply(
% multiply(F,
% inverse(F),G),
% inverse(
% multiply(F,
% inverse(F),G)),
% multiply(F,
% inverse(F),V_7))),V_7))
% <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,multiply(C,inverse(B),C),
% inverse(C)))
% Rule [149]
% multiply(A,inverse(multiply(G,inverse(G),G)),multiply(G,inverse(
% multiply(
% multiply(V_7,V_8,V_9),V_10,
% multiply(V_7,V_8,V_11))),
% multiply(V_8,multiply(V_11,V_10,V_9),V_7)))
% <->
% multiply(A,inverse(multiply(multiply(B,C,D),multiply(E,inverse(multiply(D,
% inverse(D),F)),F),
% multiply(B,C,inverse(D)))),multiply(C,E,B)) is composed into 
% [149]
% multiply(A,inverse(multiply(G,inverse(G),G)),multiply(G,inverse(multiply(
% multiply(V_7,V_8,V_9),V_10,
% multiply(V_7,V_8,V_11))),
% multiply(V_8,multiply(V_11,V_10,V_9),V_7)))
% <->
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,inverse(D)))),
% multiply(C,E,B))
% Rule [147]
% multiply(A,inverse(multiply(multiply(B,C,D),inverse(multiply(B,C,D)),
% multiply(B,C,E))),multiply(C,multiply(E,inverse(
% multiply(B,C,F)),F),B))
% <->
% multiply(A,inverse(multiply(multiply(G,V_7,V_8),multiply(V_9,inverse(
% multiply(V_8,
% inverse(V_8),V_10)),V_10),
% multiply(G,V_7,inverse(V_8)))),multiply(V_7,V_9,G)) is composed into 
% [147]
% multiply(A,inverse(multiply(multiply(B,C,D),inverse(multiply(B,C,D)),
% multiply(B,C,E))),multiply(C,multiply(E,inverse(multiply(B,C,F)),F),B))
% <->
% multiply(A,inverse(multiply(multiply(G,V_7,V_8),V_9,multiply(G,V_7,inverse(V_8)))),
% multiply(V_7,V_9,G))
% Rule [144]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(
% multiply(
% multiply(C,D,E),F,
% multiply(C,D,G))),
% multiply(D,multiply(G,F,E),C)))
% <->
% multiply(A,inverse(multiply(V_7,inverse(V_7),V_7)),multiply(multiply(V_7,
% inverse(
% multiply(V_8,
% inverse(V_8),V_9)),V_9),
% multiply(V_8,
% inverse(V_7),V_8),
% inverse(V_8))) is composed into 
% [144]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(
% multiply(C,D,E),F,
% multiply(C,D,G))),
% multiply(D,multiply(G,F,E),C)))
% <->
% multiply(A,inverse(multiply(V_7,inverse(V_7),V_7)),multiply(V_7,multiply(V_8,
% inverse(V_7),V_8),
% inverse(V_8)))
% Rule [143]
% multiply(A,inverse(multiply(multiply(E,F,G),inverse(multiply(E,F,G)),
% multiply(E,F,V_7))),multiply(F,multiply(V_7,inverse(
% multiply(E,F,V_8)),V_8),E))
% <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(multiply(B,
% inverse(multiply(C,
% inverse(C),D)),D),
% multiply(C,inverse(B),C),
% inverse(C))) is composed into 
% [143]
% multiply(A,inverse(multiply(multiply(E,F,G),inverse(multiply(E,F,G)),
% multiply(E,F,V_7))),multiply(F,multiply(V_7,inverse(
% multiply(E,F,V_8)),V_8),E))
% <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,multiply(C,inverse(B),C),
% inverse(C)))
% Rule [127]
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),inverse(multiply(B,
% inverse(B),C)),
% multiply(B,inverse(B),D))),D) <->
% multiply(A,inverse(multiply(E,inverse(E),E)),multiply(multiply(E,
% inverse(multiply(F,
% inverse(F),G)),G),
% multiply(F,inverse(E),F),
% inverse(F))) is composed into 
% [127]
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),inverse(multiply(B,
% inverse(B),C)),
% multiply(B,inverse(B),D))),D) <->
% multiply(A,inverse(multiply(E,inverse(E),E)),multiply(E,multiply(F,inverse(E),F),
% inverse(F)))
% Rule [104]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(
% multiply(C,
% inverse(C),
% multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),E))),E))
% <->
% multiply(multiply(A,inverse(multiply(F,inverse(F),G)),G),multiply(F,
% inverse(A),F),
% inverse(F)) is composed into [104]
% multiply(A,inverse(multiply(B,inverse(B),B)),
% multiply(B,inverse(multiply(C,inverse(C),
% multiply(multiply(C,
% inverse(C),D),
% inverse(multiply(C,
% inverse(C),D)),E))),E))
% <->
% multiply(A,multiply(F,inverse(A),F),
% inverse(F))
% Rule [100]
% multiply(A,inverse(multiply(G,inverse(G),multiply(multiply(G,inverse(G),V_7),
% inverse(multiply(G,inverse(G),V_7)),V_8))),V_8)
% <->
% multiply(A,inverse(multiply(multiply(B,C,D),multiply(E,inverse(multiply(D,
% inverse(D),F)),F),
% multiply(B,C,inverse(D)))),multiply(C,E,B)) is composed into 
% [100]
% multiply(A,inverse(multiply(G,inverse(G),multiply(multiply(G,inverse(G),V_7),
% inverse(multiply(G,inverse(G),V_7)),V_8))),V_8)
% <->
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,inverse(D)))),
% multiply(C,E,B))
% Rule [92]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(
% multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),
% multiply(C,
% inverse(C),E))),E))
% <->
% multiply(multiply(A,inverse(multiply(F,inverse(F),G)),G),multiply(F,
% inverse(A),F),
% inverse(F)) is composed into [92]
% multiply(A,inverse(multiply(B,inverse(B),B)),
% multiply(B,inverse(multiply(multiply(C,
% inverse(C),D),
% inverse(multiply(C,
% inverse(C),D)),
% multiply(C,inverse(C),E))),E))
% <->
% multiply(A,multiply(F,inverse(A),F),
% inverse(F))
% Rule [88]
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),inverse(multiply(B,
% inverse(B),C)),
% multiply(B,inverse(B),D))),D) <->
% multiply(A,inverse(multiply(multiply(E,F,G),multiply(V_7,inverse(
% multiply(G,
% inverse(G),V_8)),V_8),
% multiply(E,F,inverse(G)))),multiply(F,V_7,E)) is composed into 
% [88]
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),inverse(multiply(B,
% inverse(B),C)),
% multiply(B,inverse(B),D))),D) <->
% multiply(A,inverse(multiply(multiply(E,F,G),V_7,multiply(E,F,inverse(G)))),
% multiply(F,V_7,E))
% Rule [86]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),
% multiply(C,multiply(F,E,D),B)) <->
% multiply(A,inverse(multiply(multiply(G,V_7,V_8),multiply(V_9,inverse(
% multiply(V_8,
% inverse(V_8),V_10)),V_10),
% multiply(G,V_7,inverse(V_8)))),multiply(V_7,V_9,G)) is composed into 
% [86]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,
% multiply(F,E,D),B))
% <->
% multiply(A,inverse(multiply(multiply(G,V_7,V_8),V_9,multiply(G,V_7,inverse(V_8)))),
% multiply(V_7,V_9,G))
% Rule [75]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(
% multiply(
% multiply(C,D,E),F,
% multiply(C,D,G))),
% multiply(D,multiply(G,F,E),C)))
% <->
% multiply(multiply(A,inverse(multiply(V_7,inverse(V_7),V_8)),V_8),
% multiply(V_7,inverse(A),V_7),inverse(V_7)) is composed into [75]
% multiply(A,
% inverse(
% multiply(B,
% inverse(B),B)),
% multiply(B,
% inverse(
% multiply(
% multiply(C,D,E),F,
% multiply(C,D,G))),
% multiply(D,
% multiply(G,F,E),C)))
% <->
% multiply(A,
% multiply(V_7,
% inverse(A),V_7),
% inverse(V_7))
% Rule [71]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),
% multiply(C,multiply(F,E,D),B)) <->
% multiply(A,inverse(multiply(G,inverse(G),G)),multiply(multiply(G,
% inverse(multiply(V_7,
% inverse(V_7),V_8)),V_8),
% multiply(V_7,inverse(G),V_7),
% inverse(V_7))) is composed into 
% [71]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,
% multiply(F,E,D),B))
% <->
% multiply(A,inverse(multiply(G,inverse(G),G)),multiply(G,multiply(V_7,
% inverse(G),V_7),
% inverse(V_7)))
% Rule [68]
% multiply(A,inverse(multiply(B,inverse(B),multiply(multiply(B,inverse(B),C),
% inverse(multiply(B,inverse(B),C)),D))),D)
% <->
% multiply(multiply(A,inverse(multiply(E,inverse(E),a)),a),multiply(E,
% inverse(A),E),
% inverse(E)) is composed into [68]
% multiply(A,inverse(multiply(B,inverse(B),
% multiply(multiply(B,
% inverse(B),C),
% inverse(multiply(B,
% inverse(B),C)),D))),D)
% <->
% multiply(A,multiply(E,inverse(A),E),
% inverse(E))
% Rule [54]
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),inverse(multiply(B,
% inverse(B),C)),
% multiply(B,inverse(B),D))),D) <->
% multiply(multiply(A,inverse(multiply(E,inverse(E),a)),a),multiply(E,
% inverse(A),E),
% inverse(E)) is composed into [54]
% multiply(A,inverse(multiply(multiply(B,
% inverse(B),C),
% inverse(multiply(B,
% inverse(B),C)),
% multiply(B,inverse(B),D))),D)
% <->
% multiply(A,multiply(E,inverse(A),E),
% inverse(E))
% Rule [51]
% multiply(A,inverse(multiply(multiply(B,C,D),inverse(multiply(B,C,D)),
% multiply(B,C,E))),multiply(C,multiply(E,inverse(
% multiply(B,C,F)),F),B))
% <->
% multiply(multiply(A,inverse(multiply(G,inverse(G),a)),a),multiply(G,
% inverse(A),G),
% inverse(G)) is composed into [51]
% multiply(A,inverse(multiply(multiply(B,C,D),
% inverse(multiply(B,C,D)),
% multiply(B,C,E))),
% multiply(C,multiply(E,inverse(multiply(B,C,F)),F),B))
% <->
% multiply(A,multiply(G,inverse(A),G),
% inverse(G))
% Rule [47]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),
% multiply(C,multiply(F,E,D),B)) <->
% multiply(multiply(A,inverse(multiply(G,inverse(G),a)),a),multiply(G,
% inverse(A),G),
% inverse(G)) is composed into [47]
% multiply(A,inverse(multiply(multiply(B,C,D),E,
% multiply(B,C,F))),
% multiply(C,multiply(F,E,D),B)) <->
% multiply(A,multiply(G,inverse(A),G),
% inverse(G))
% New rule produced :
% [173] multiply(A,inverse(multiply(B,inverse(B),C)),C) -> A
% Rule
% [11]
% multiply(multiply(A,B,C),inverse(multiply(multiply(D,E,F),multiply(G,
% inverse(multiply(F,
% inverse(F),V_7)),V_7),
% multiply(D,E,inverse(F)))),multiply(E,G,D))
% <-> multiply(B,multiply(C,inverse(multiply(A,B,V_8)),V_8),A) collapsed.
% Rule
% [35]
% multiply(multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(D,inverse(
% multiply(
% inverse(B),
% multiply(A,
% inverse(
% multiply(B,
% inverse(B),C)),C),E)),E),
% inverse(B)) ->
% multiply(multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(D,inverse(A),B),
% inverse(B)) collapsed.
% Rule
% [48]
% multiply(multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(B,inverse(A),B),
% inverse(B)) <->
% multiply(A,inverse(multiply(multiply(D,E,F),G,multiply(D,E,V_7))),multiply(E,
% multiply(V_7,G,F),D))
% collapsed.
% Rule
% [55]
% multiply(A,inverse(multiply(multiply(B,C,D),multiply(E,inverse(multiply(D,
% inverse(D),F)),F),
% multiply(B,C,inverse(D)))),multiply(C,E,B)) <->
% multiply(multiply(A,inverse(multiply(G,inverse(G),a)),a),multiply(G,inverse(A),G),
% inverse(G)) collapsed.
% Rule
% [58]
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),D)),multiply(multiply(D,
% inverse(
% multiply(E,
% inverse(E),F)),F),
% multiply(E,
% inverse(D),E),
% inverse(E))) <->
% multiply(B,multiply(C,inverse(multiply(A,B,G)),G),A) collapsed.
% Rule
% [60]
% multiply(A,inverse(multiply(D,inverse(D),D)),multiply(multiply(D,inverse(
% multiply(E,
% inverse(E),F)),F),
% multiply(E,inverse(D),E),
% inverse(E))) <->
% multiply(multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(B,inverse(A),B),
% inverse(B)) collapsed.
% Rule
% [61]
% multiply(multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(B,inverse(A),B),
% inverse(B)) <->
% multiply(A,inverse(multiply(D,inverse(D),D)),multiply(multiply(D,inverse(
% multiply(E,
% inverse(E),F)),F),
% multiply(E,inverse(D),E),
% inverse(E))) collapsed.
% Rule
% [65]
% multiply(multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(B,inverse(A),B),
% inverse(B)) <->
% multiply(A,inverse(multiply(multiply(D,E,F),inverse(multiply(D,E,F)),
% multiply(D,E,G))),multiply(E,multiply(G,inverse(multiply(D,E,V_7)),V_7),D))
% collapsed.
% Rule
% [66]
% multiply(multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(B,inverse(A),B),
% inverse(B)) <->
% multiply(A,inverse(multiply(multiply(D,inverse(D),E),inverse(multiply(D,
% inverse(D),E)),
% multiply(D,inverse(D),F))),F) collapsed.
% Rule
% [69]
% multiply(multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(B,inverse(A),B),
% inverse(B)) <->
% multiply(A,inverse(multiply(multiply(D,E,F),multiply(G,inverse(multiply(F,
% inverse(F),V_7)),V_7),
% multiply(D,E,inverse(F)))),multiply(E,G,D)) collapsed.
% Rule
% [70]
% multiply(A,inverse(multiply(G,inverse(G),G)),multiply(multiply(G,inverse(
% multiply(V_7,
% inverse(V_7),V_8)),V_8),
% multiply(V_7,inverse(G),V_7),
% inverse(V_7))) <->
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,
% multiply(F,E,D),B))
% collapsed.
% Rule
% [76]
% multiply(multiply(A,inverse(multiply(V_7,inverse(V_7),V_8)),V_8),multiply(V_7,
% inverse(A),V_7),
% inverse(V_7)) <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(
% multiply(C,D,E),F,
% multiply(C,D,G))),
% multiply(D,multiply(G,F,E),C)))
% collapsed.
% Rule
% [82]
% multiply(multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(B,inverse(A),B),
% inverse(B)) <->
% multiply(A,inverse(multiply(D,inverse(D),multiply(multiply(D,inverse(D),E),
% inverse(multiply(D,inverse(D),E)),F))),F)
% collapsed.
% Rule
% [83]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(multiply(B,inverse(
% multiply(C,
% inverse(C),D)),D),
% multiply(C,inverse(B),C),
% inverse(C))) <->
% multiply(A,inverse(multiply(E,inverse(E),multiply(multiply(E,inverse(E),F),
% inverse(multiply(E,inverse(E),F)),G))),G)
% collapsed.
% Rule
% [85]
% multiply(A,inverse(multiply(multiply(G,V_7,V_8),multiply(V_9,inverse(
% multiply(V_8,
% inverse(V_8),V_10)),V_10),
% multiply(G,V_7,inverse(V_8)))),multiply(V_7,V_9,G)) <->
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,
% multiply(F,E,D),B))
% collapsed.
% Rule
% [87]
% multiply(A,inverse(multiply(multiply(E,F,G),multiply(V_7,inverse(multiply(G,
% inverse(G),V_8)),V_8),
% multiply(E,F,inverse(G)))),multiply(F,V_7,E)) <->
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),inverse(multiply(B,
% inverse(B),C)),
% multiply(B,inverse(B),D))),D) collapsed.
% Rule
% [93]
% multiply(multiply(A,inverse(multiply(F,inverse(F),G)),G),multiply(F,inverse(A),F),
% inverse(F)) <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),
% multiply(C,
% inverse(C),E))),E))
% collapsed.
% Rule
% [94]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(multiply(B,inverse(
% multiply(C,
% inverse(C),D)),D),
% multiply(C,inverse(B),C),
% inverse(C))) <->
% multiply(A,inverse(multiply(E,inverse(E),E)),multiply(multiply(E,inverse(
% multiply(F,
% inverse(F),G)),G),
% multiply(F,inverse(E),F),
% inverse(F))) collapsed.
% Rule
% [95]
% multiply(multiply(A,inverse(multiply(D,inverse(D),E)),E),multiply(D,inverse(A),D),
% inverse(D)) <->
% multiply(multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(B,inverse(A),B),
% inverse(B)) collapsed.
% Rule
% [99]
% multiply(A,inverse(multiply(multiply(B,C,D),multiply(E,inverse(multiply(D,
% inverse(D),F)),F),
% multiply(B,C,inverse(D)))),multiply(C,E,B)) <->
% multiply(A,inverse(multiply(G,inverse(G),multiply(multiply(G,inverse(G),V_7),
% inverse(multiply(G,inverse(G),V_7)),V_8))),V_8)
% collapsed.
% Rule
% [105]
% multiply(multiply(A,inverse(multiply(F,inverse(F),G)),G),multiply(F,inverse(A),F),
% inverse(F)) <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(C,
% inverse(C),
% multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),E))),E))
% collapsed.
% Rule
% [118]
% multiply(A,inverse(multiply(multiply(E,F,G),multiply(V_7,inverse(multiply(G,
% inverse(G),V_8)),V_8),
% multiply(E,F,inverse(G)))),multiply(F,V_7,E)) <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(multiply(B,inverse(
% multiply(C,
% inverse(C),D)),D),
% multiply(C,inverse(B),C),
% inverse(C))) collapsed.
% Rule
% [119]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(multiply(B,inverse(
% multiply(C,
% inverse(C),D)),D),
% multiply(C,inverse(B),C),
% inverse(C))) <->
% multiply(A,inverse(multiply(multiply(E,F,G),multiply(V_7,inverse(multiply(G,
% inverse(G),V_8)),V_8),
% multiply(E,F,inverse(G)))),multiply(F,V_7,E)) collapsed.
% Rule
% [126]
% multiply(A,inverse(multiply(E,inverse(E),E)),multiply(multiply(E,inverse(
% multiply(F,
% inverse(F),G)),G),
% multiply(F,inverse(E),F),
% inverse(F))) <->
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),inverse(multiply(B,
% inverse(B),C)),
% multiply(B,inverse(B),D))),D) collapsed.
% Rule
% [133]
% multiply(A,inverse(multiply(multiply(G,V_7,V_8),multiply(V_9,inverse(
% multiply(V_8,
% inverse(V_8),V_10)),V_10),
% multiply(G,V_7,inverse(V_8)))),multiply(V_7,V_9,G)) <->
% multiply(A,inverse(multiply(multiply(B,C,D),multiply(E,inverse(multiply(D,
% inverse(D),F)),F),
% multiply(B,C,inverse(D)))),multiply(C,E,B)) collapsed.
% Rule
% [142]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(multiply(B,inverse(
% multiply(C,
% inverse(C),D)),D),
% multiply(C,inverse(B),C),
% inverse(C))) <->
% multiply(A,inverse(multiply(multiply(E,F,G),inverse(multiply(E,F,G)),
% multiply(E,F,V_7))),multiply(F,multiply(V_7,inverse(
% multiply(E,F,V_8)),V_8),E))
% collapsed.
% Rule
% [145]
% multiply(A,inverse(multiply(V_7,inverse(V_7),V_7)),multiply(multiply(V_7,
% inverse(multiply(V_8,
% inverse(V_8),V_9)),V_9),
% multiply(V_8,inverse(V_7),V_8),
% inverse(V_8))) <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(
% multiply(C,D,E),F,
% multiply(C,D,G))),
% multiply(D,multiply(G,F,E),C)))
% collapsed.
% Rule
% [146]
% multiply(A,inverse(multiply(multiply(G,V_7,V_8),multiply(V_9,inverse(
% multiply(V_8,
% inverse(V_8),V_10)),V_10),
% multiply(G,V_7,inverse(V_8)))),multiply(V_7,V_9,G)) <->
% multiply(A,inverse(multiply(multiply(B,C,D),inverse(multiply(B,C,D)),
% multiply(B,C,E))),multiply(C,multiply(E,inverse(multiply(B,C,F)),F),B))
% collapsed.
% Rule
% [148]
% multiply(A,inverse(multiply(multiply(B,C,D),multiply(E,inverse(multiply(D,
% inverse(D),F)),F),
% multiply(B,C,inverse(D)))),multiply(C,E,B)) <->
% multiply(A,inverse(multiply(G,inverse(G),G)),multiply(G,inverse(multiply(
% multiply(V_7,V_8,V_9),V_10,
% multiply(V_7,V_8,V_11))),
% multiply(V_8,multiply(V_11,V_10,V_9),V_7)))
% collapsed.
% Rule
% [153]
% multiply(multiply(A,B,C),inverse(multiply(multiply(D,inverse(D),E),multiply(
% multiply(F,
% inverse(
% multiply(D,
% inverse(D),G)),G),
% inverse(
% multiply(E,
% inverse(E),V_7)),V_7),
% multiply(D,inverse(D),inverse(E)))),F) <->
% multiply(B,multiply(C,inverse(multiply(A,B,V_8)),V_8),A) collapsed.
% Rule
% [154]
% multiply(multiply(A,inverse(multiply(G,inverse(G),a)),a),multiply(G,inverse(A),G),
% inverse(G)) <->
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),multiply(multiply(D,
% inverse(
% multiply(B,
% inverse(B),E)),E),
% inverse(multiply(C,
% inverse(C),F)),F),
% multiply(B,inverse(B),inverse(C)))),D) collapsed.
% Rule
% [155]
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),multiply(multiply(D,
% inverse(
% multiply(B,
% inverse(B),E)),E),
% inverse(multiply(C,
% inverse(C),F)),F),
% multiply(B,inverse(B),inverse(C)))),D) <->
% multiply(multiply(A,inverse(multiply(G,inverse(G),a)),a),multiply(G,inverse(A),G),
% inverse(G)) collapsed.
% Rule
% [157]
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),D)),multiply(D,
% inverse(multiply(E,
% inverse(E),E)),
% multiply(multiply(E,
% inverse(
% multiply(F,
% inverse(F),G)),G),
% multiply(F,
% inverse(E),F),
% inverse(F)))) <->
% multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A) collapsed.
% Rule
% [159]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(C,
% inverse(C),C)),
% multiply(multiply(C,inverse(
% multiply(D,
% inverse(D),E)),E),
% multiply(D,inverse(C),D),
% inverse(D)))) <->
% multiply(multiply(A,inverse(multiply(F,inverse(F),G)),G),multiply(F,inverse(A),F),
% inverse(F)) collapsed.
% Rule
% [160]
% multiply(multiply(A,inverse(multiply(F,inverse(F),G)),G),multiply(F,inverse(A),F),
% inverse(F)) <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(C,
% inverse(C),C)),
% multiply(multiply(C,inverse(
% multiply(D,
% inverse(D),E)),E),
% multiply(D,inverse(C),D),
% inverse(D)))) collapsed.
% Rule
% [161]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(multiply(B,inverse(
% multiply(C,
% inverse(C),D)),D),
% multiply(C,inverse(B),C),
% inverse(C))) <->
% multiply(A,inverse(multiply(E,inverse(E),E)),multiply(E,inverse(multiply(
% multiply(F,
% inverse(F),G),
% inverse(
% multiply(F,
% inverse(F),G)),
% multiply(F,
% inverse(F),V_7))),V_7))
% collapsed.
% Rule
% [164]
% multiply(A,inverse(multiply(F,inverse(F),F)),multiply(multiply(F,inverse(
% multiply(G,
% inverse(G),V_7)),V_7),
% multiply(G,inverse(F),G),
% inverse(G))) <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(C,
% inverse(C),
% multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),E))),E))
% collapsed.
% Rule
% [168]
% multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(D,
% inverse(D),
% multiply(E,
% inverse(
% multiply(C,
% inverse(C),F)),F)))),E)
% -> B collapsed.
% Rule
% [169]
% multiply(multiply(A,inverse(multiply(G,inverse(G),V_7)),V_7),multiply(G,
% inverse(A),G),
% inverse(G)) <->
% multiply(A,inverse(multiply(B,multiply(multiply(C,B,multiply(D,inverse(D),E)),
% inverse(multiply(C,B,F)),F),C)),multiply(B,E,C))
% collapsed.
% Current number of equations to process: 3715
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [174]
% multiply(A,multiply(B,inverse(A),B),inverse(B)) <->
% multiply(A,multiply(D,inverse(A),D),inverse(D))
% Current number of equations to process: 3714
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [175]
% multiply(A,multiply(D,inverse(multiply(inverse(B),A,E)),E),inverse(B)) ->
% multiply(A,multiply(D,inverse(A),B),inverse(B))
% Current number of equations to process: 3713
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [176]
% multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(D,
% inverse(D),E))),E)
% -> B
% Current number of equations to process: 3712
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [177]
% multiply(B,inverse(A),multiply(A,multiply(C,inverse(A),C),inverse(C))) -> B
% Current number of equations to process: 3711
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [178]
% multiply(A,inverse(multiply(D,inverse(D),D)),multiply(D,multiply(E,inverse(D),E),
% inverse(E))) <->
% multiply(A,multiply(B,inverse(A),B),inverse(B))
% Current number of equations to process: 3710
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [179]
% multiply(A,multiply(B,inverse(A),B),inverse(B)) <->
% multiply(A,inverse(multiply(D,inverse(D),D)),multiply(D,multiply(E,inverse(D),E),
% inverse(E)))
% Current number of equations to process: 3710
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [180]
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),D,multiply(B,inverse(B),
% inverse(C)))),D) <->
% multiply(A,multiply(G,inverse(A),G),inverse(G))
% Current number of equations to process: 3709
% Current number of ordered equations: 1
% Current number of rules: 85
% New rule produced :
% [181]
% multiply(A,multiply(G,inverse(A),G),inverse(G)) <->
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),D,multiply(B,inverse(B),
% inverse(C)))),D)
% Current number of equations to process: 3709
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [182]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,inverse(D)))),
% multiply(C,E,B)) <-> multiply(A,multiply(G,inverse(A),G),inverse(G))
% Current number of equations to process: 3708
% Current number of ordered equations: 1
% Current number of rules: 87
% New rule produced :
% [183]
% multiply(A,multiply(G,inverse(A),G),inverse(G)) <->
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,inverse(D)))),
% multiply(C,E,B))
% Current number of equations to process: 3708
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [184]
% multiply(B,inverse(A),multiply(A,inverse(multiply(a,inverse(a),a)),multiply(a,
% multiply(a,
% inverse(a),a),
% inverse(a))))
% -> B
% Current number of equations to process: 3706
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [185]
% multiply(multiply(A,B,C),inverse(multiply(multiply(D,inverse(D),E),F,
% multiply(D,inverse(D),inverse(E)))),F) <->
% multiply(B,multiply(C,inverse(multiply(A,B,V_8)),V_8),A)
% Current number of equations to process: 3705
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [186]
% multiply(B,multiply(C,inverse(multiply(A,B,G)),G),A) <->
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),D)),multiply(D,
% multiply(E,
% inverse(D),E),
% inverse(E)))
% Current number of equations to process: 3704
% Current number of ordered equations: 1
% Current number of rules: 91
% Rule [186]
% multiply(B,multiply(C,inverse(multiply(A,B,G)),G),A) <->
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),D)),multiply(D,
% multiply(E,
% inverse(D),E),
% inverse(E))) is composed into 
% [186]
% multiply(B,multiply(C,inverse(multiply(A,B,G)),G),A) <->
% multiply(B,multiply(C,inverse(multiply(A,B,a)),a),A)
% New rule produced :
% [187]
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),D)),multiply(D,
% multiply(E,
% inverse(D),E),
% inverse(E))) <->
% multiply(B,multiply(C,inverse(multiply(A,B,G)),G),A)
% Current number of equations to process: 3704
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [188]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,multiply(C,inverse(B),C),
% inverse(C))) <->
% multiply(A,inverse(multiply(E,inverse(E),E)),multiply(E,multiply(F,inverse(E),F),
% inverse(F)))
% Current number of equations to process: 3700
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [189]
% multiply(B,inverse(A),multiply(A,inverse(multiply(C,inverse(C),multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),E))),E))
% -> B
% Current number of equations to process: 3699
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [190]
% multiply(multiply(A,B,C),inverse(multiply(multiply(D,E,F),G,multiply(D,E,
% inverse(F)))),
% multiply(E,G,D)) <-> multiply(B,multiply(C,inverse(multiply(A,B,V_8)),V_8),A)
% Current number of equations to process: 3698
% Current number of ordered equations: 0
% Current number of rules: 95
% Rule [183]
% multiply(A,multiply(G,inverse(A),G),inverse(G)) <->
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,inverse(D)))),
% multiply(C,E,B)) is composed into [183]
% multiply(A,multiply(G,inverse(A),G),
% inverse(G)) <->
% multiply(A,inverse(multiply(B,
% inverse(B),B)),
% multiply(B,multiply(C,inverse(B),C),
% inverse(C)))
% Rule [149]
% multiply(A,inverse(multiply(G,inverse(G),G)),multiply(G,inverse(
% multiply(
% multiply(V_7,V_8,V_9),V_10,
% multiply(V_7,V_8,V_11))),
% multiply(V_8,multiply(V_11,V_10,V_9),V_7)))
% <->
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,inverse(D)))),
% multiply(C,E,B)) is composed into [149]
% multiply(A,inverse(multiply(G,
% inverse(G),G)),
% multiply(G,inverse(multiply(multiply(V_7,V_8,V_9),V_10,
% multiply(V_7,V_8,V_11))),
% multiply(V_8,multiply(V_11,V_10,V_9),V_7)))
% <->
% multiply(A,inverse(multiply(B,
% inverse(B),B)),
% multiply(B,multiply(C,inverse(B),C),
% inverse(C)))
% Rule [147]
% multiply(A,inverse(multiply(multiply(B,C,D),inverse(multiply(B,C,D)),
% multiply(B,C,E))),multiply(C,multiply(E,inverse(
% multiply(B,C,F)),F),B))
% <->
% multiply(A,inverse(multiply(multiply(G,V_7,V_8),V_9,multiply(G,V_7,
% inverse(V_8)))),
% multiply(V_7,V_9,G)) is composed into [147]
% multiply(A,inverse(multiply(
% multiply(B,C,D),
% inverse(
% multiply(B,C,D)),
% multiply(B,C,E))),
% multiply(C,multiply(E,inverse(
% multiply(B,C,F)),F),B))
% ->
% multiply(A,inverse(multiply(a,
% inverse(a),a)),
% multiply(a,multiply(a,inverse(a),a),
% inverse(a)))
% Rule [100]
% multiply(A,inverse(multiply(G,inverse(G),multiply(multiply(G,inverse(G),V_7),
% inverse(multiply(G,inverse(G),V_7)),V_8))),V_8)
% <->
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,inverse(D)))),
% multiply(C,E,B)) is composed into [100]
% multiply(A,inverse(multiply(G,
% inverse(G),
% multiply(multiply(G,
% inverse(G),V_7),
% inverse(multiply(G,
% inverse(G),V_7)),V_8))),V_8)
% <->
% multiply(A,inverse(multiply(B,
% inverse(B),B)),
% multiply(B,multiply(C,inverse(B),C),
% inverse(C)))
% Rule [88]
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),inverse(multiply(B,
% inverse(B),C)),
% multiply(B,inverse(B),D))),D) <->
% multiply(A,inverse(multiply(multiply(E,F,G),V_7,multiply(E,F,inverse(G)))),
% multiply(F,V_7,E)) is composed into [88]
% multiply(A,inverse(multiply(
% multiply(B,
% inverse(B),C),
% inverse(multiply(B,
% inverse(B),C)),
% multiply(B,
% inverse(B),D))),D)
% ->
% multiply(A,inverse(multiply(a,
% inverse(a),a)),
% multiply(a,multiply(a,inverse(a),a),
% inverse(a)))
% Rule [86]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),
% multiply(C,multiply(F,E,D),B)) <->
% multiply(A,inverse(multiply(multiply(G,V_7,V_8),V_9,multiply(G,V_7,
% inverse(V_8)))),
% multiply(V_7,V_9,G)) is composed into [86]
% multiply(A,inverse(multiply(
% multiply(B,C,D),E,
% multiply(B,C,F))),
% multiply(C,multiply(F,E,D),B)) ->
% multiply(A,inverse(multiply(a,
% inverse(a),a)),
% multiply(a,multiply(a,inverse(a),a),
% inverse(a)))
% New rule produced :
% [191]
% multiply(A,inverse(multiply(multiply(E,F,G),V_7,multiply(E,F,inverse(G)))),
% multiply(F,V_7,E)) <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,multiply(C,inverse(B),C),
% inverse(C)))
% Rule
% [182]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,inverse(D)))),
% multiply(C,E,B)) <-> multiply(A,multiply(G,inverse(A),G),inverse(G))
% collapsed.
% Rule
% [190]
% multiply(multiply(A,B,C),inverse(multiply(multiply(D,E,F),G,multiply(D,E,
% inverse(F)))),
% multiply(E,G,D)) <-> multiply(B,multiply(C,inverse(multiply(A,B,V_8)),V_8),A)
% collapsed.
% Current number of equations to process: 3697
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [192]
% multiply(B,inverse(A),multiply(A,inverse(multiply(C,inverse(C),C)),multiply(C,
% multiply(D,
% inverse(C),D),
% inverse(D))))
% -> B
% Rule
% [184]
% multiply(B,inverse(A),multiply(A,inverse(multiply(a,inverse(a),a)),multiply(a,
% multiply(a,
% inverse(a),a),
% inverse(a))))
% -> B collapsed.
% Current number of equations to process: 3693
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [193]
% multiply(A,multiply(F,inverse(A),F),inverse(F)) <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(C,
% inverse(C),C)),
% multiply(C,multiply(D,inverse(C),D),
% inverse(D))))
% Current number of equations to process: 3692
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced :
% [194]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(C,
% inverse(C),C)),
% multiply(C,multiply(D,inverse(C),D),
% inverse(D)))) <->
% multiply(A,multiply(F,inverse(A),F),inverse(F))
% Current number of equations to process: 3692
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [195]
% multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A) <->
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),D)),multiply(D,
% inverse(multiply(E,
% inverse(E),E)),
% multiply(E,
% multiply(F,
% inverse(E),F),
% inverse(F))))
% Current number of equations to process: 3684
% Current number of ordered equations: 1
% Current number of rules: 97
% Rule [195]
% multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A) <->
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),D)),multiply(D,
% inverse(
% multiply(E,
% inverse(E),E)),
% multiply(E,
% multiply(F,
% inverse(E),F),
% inverse(F)))) is composed into 
% [195]
% multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A) <->
% multiply(B,multiply(C,inverse(multiply(A,B,a)),a),A)
% New rule produced :
% [196]
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),D)),multiply(D,
% inverse(multiply(E,
% inverse(E),E)),
% multiply(E,
% multiply(F,
% inverse(E),F),
% inverse(F)))) <->
% multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A)
% Current number of equations to process: 3684
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [197]
% multiply(A,inverse(multiply(B,multiply(multiply(C,B,multiply(D,inverse(D),E)),
% inverse(multiply(C,B,F)),F),C)),multiply(B,E,C))
% ->
% multiply(A,inverse(multiply(a,inverse(a),a)),multiply(a,multiply(a,inverse(a),a),
% inverse(a)))
% Rule
% [170]
% multiply(A,inverse(multiply(B,multiply(multiply(C,B,multiply(D,inverse(D),E)),
% inverse(multiply(C,B,F)),F),C)),multiply(B,E,C))
% <-> multiply(A,multiply(G,inverse(A),G),inverse(G)) collapsed.
% Rule
% [171]
% multiply(multiply(A,B,C),inverse(multiply(D,multiply(multiply(E,D,multiply(F,
% inverse(F),G)),
% inverse(multiply(E,D,V_7)),V_7),E)),
% multiply(D,G,E)) <-> multiply(B,multiply(C,inverse(multiply(A,B,V_8)),V_8),A)
% collapsed.
% Current number of equations to process: 3799
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [198]
% multiply(A,multiply(inverse(C),inverse(multiply(B,A,D)),D),B) <->
% multiply(A,inverse(multiply(B,A,C)),B)
% Current number of equations to process: 3811
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [199]
% multiply(A,inverse(multiply(B,A,C)),B) <->
% multiply(A,multiply(inverse(C),inverse(multiply(B,A,D)),D),B)
% Current number of equations to process: 3811
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [200]
% multiply(A,multiply(F,inverse(A),F),inverse(F)) <->
% multiply(A,inverse(multiply(B,C,multiply(inverse(D),B,E))),multiply(B,
% multiply(E,C,D),
% inverse(D)))
% Current number of equations to process: 3937
% Current number of ordered equations: 5
% Current number of rules: 100
% New rule produced :
% [201]
% multiply(A,multiply(F,inverse(A),F),inverse(F)) <->
% multiply(A,inverse(multiply(multiply(inverse(B),C,D),E,C)),multiply(C,
% multiply(B,E,D),
% inverse(B)))
% Current number of equations to process: 3937
% Current number of ordered equations: 4
% Current number of rules: 101
% New rule produced :
% [202]
% multiply(A,multiply(F,inverse(A),F),inverse(F)) <->
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),D,multiply(B,inverse(B),E))),
% multiply(E,D,C))
% Current number of equations to process: 3937
% Current number of ordered equations: 3
% Current number of rules: 102
% New rule produced :
% [203]
% multiply(A,inverse(multiply(B,C,multiply(inverse(D),B,E))),multiply(B,
% multiply(E,C,D),
% inverse(D))) <->
% multiply(A,multiply(F,inverse(A),F),inverse(F))
% Current number of equations to process: 3937
% Current number of ordered equations: 2
% Current number of rules: 103
% New rule produced :
% [204]
% multiply(A,inverse(multiply(multiply(inverse(B),C,D),E,C)),multiply(C,
% multiply(B,E,D),
% inverse(B))) <->
% multiply(A,multiply(F,inverse(A),F),inverse(F))
% Current number of equations to process: 3937
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [205]
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),D,multiply(B,inverse(B),E))),
% multiply(E,D,C)) <-> multiply(A,multiply(F,inverse(A),F),inverse(F))
% Current number of equations to process: 3937
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [206]
% inverse(multiply(multiply(C,inverse(C),D),inverse(multiply(C,inverse(C),D)),
% multiply(C,inverse(C),A))) <->
% multiply(inverse(A),multiply(B,inverse(inverse(A)),B),inverse(B))
% Current number of equations to process: 3935
% Current number of ordered equations: 3
% Current number of rules: 106
% New rule produced :
% [207]
% multiply(A,inverse(multiply(inverse(inverse(B)),inverse(inverse(inverse(B))),
% multiply(inverse(B),inverse(inverse(B)),C))),C) <->
% multiply(A,multiply(D,inverse(A),D),inverse(D))
% Current number of equations to process: 3935
% Current number of ordered equations: 2
% Current number of rules: 107
% New rule produced :
% [208]
% multiply(inverse(A),multiply(B,inverse(inverse(A)),B),inverse(B)) <->
% inverse(multiply(multiply(C,inverse(C),D),inverse(multiply(C,inverse(C),D)),
% multiply(C,inverse(C),A)))
% Current number of equations to process: 3935
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced :
% [209]
% multiply(A,multiply(D,inverse(A),D),inverse(D)) <->
% multiply(A,inverse(multiply(inverse(inverse(B)),inverse(inverse(inverse(B))),
% multiply(inverse(B),inverse(inverse(B)),C))),C)
% Current number of equations to process: 3935
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [210]
% inverse(multiply(C,inverse(C),multiply(multiply(C,inverse(C),D),inverse(
% multiply(C,
% inverse(C),D)),A)))
% <-> multiply(inverse(A),multiply(B,inverse(inverse(A)),B),inverse(B))
% Current number of equations to process: 3933
% Current number of ordered equations: 3
% Current number of rules: 110
% New rule produced :
% [211]
% multiply(A,inverse(multiply(inverse(B),inverse(inverse(B)),multiply(inverse(
% inverse(B)),
% inverse(inverse(
% inverse(B))),C))),C)
% <-> multiply(A,multiply(D,inverse(A),D),inverse(D))
% Current number of equations to process: 3933
% Current number of ordered equations: 2
% Current number of rules: 111
% New rule produced :
% [212]
% multiply(inverse(A),multiply(B,inverse(inverse(A)),B),inverse(B)) <->
% inverse(multiply(C,inverse(C),multiply(multiply(C,inverse(C),D),inverse(
% multiply(C,
% inverse(C),D)),A)))
% Current number of equations to process: 3933
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [213]
% multiply(A,multiply(D,inverse(A),D),inverse(D)) <->
% multiply(A,inverse(multiply(inverse(B),inverse(inverse(B)),multiply(inverse(
% inverse(B)),
% inverse(inverse(
% inverse(B))),C))),C)
% Current number of equations to process: 3933
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [214]
% multiply(A,inverse(multiply(B,C,D)),multiply(C,multiply(D,inverse(multiply(B,C,E)),E),B))
% -> A
% Current number of equations to process: 3945
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [215]
% multiply(A,inverse(multiply(B,inverse(B),multiply(B,inverse(B),C))),C) <->
% multiply(A,inverse(multiply(a,inverse(a),a)),multiply(a,multiply(a,inverse(a),a),
% inverse(a)))
% Current number of equations to process: 3952
% Current number of ordered equations: 1
% Current number of rules: 115
% New rule produced :
% [216]
% multiply(A,inverse(multiply(a,inverse(a),a)),multiply(a,multiply(a,inverse(a),a),
% inverse(a))) <->
% multiply(A,inverse(multiply(B,inverse(B),multiply(B,inverse(B),C))),C)
% Current number of equations to process: 3952
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [217]
% multiply(A,inverse(multiply(B,inverse(B),multiply(B,inverse(B),C))),C) <->
% multiply(A,multiply(D,inverse(A),D),inverse(D))
% Current number of equations to process: 3960
% Current number of ordered equations: 1
% Current number of rules: 117
% New rule produced :
% [218]
% multiply(A,multiply(D,inverse(A),D),inverse(D)) <->
% multiply(A,inverse(multiply(B,inverse(B),multiply(B,inverse(B),C))),C)
% Current number of equations to process: 3960
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [219]
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),multiply(D,inverse(D),E))),E)
% <-> multiply(B,multiply(C,inverse(multiply(A,B,F)),F),A)
% Current number of equations to process: 3982
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [220]
% multiply(A,inverse(multiply(D,inverse(D),D)),multiply(D,multiply(E,inverse(D),E),
% inverse(E))) <->
% multiply(A,inverse(multiply(B,inverse(B),multiply(B,inverse(B),C))),C)
% Rule
% [216]
% multiply(A,inverse(multiply(a,inverse(a),a)),multiply(a,multiply(a,inverse(a),a),
% inverse(a))) <->
% multiply(A,inverse(multiply(B,inverse(B),multiply(B,inverse(B),C))),C)
% collapsed.
% Current number of equations to process: 3998
% Current number of ordered equations: 1
% Current number of rules: 119
% New rule produced :
% [221]
% multiply(A,inverse(multiply(B,inverse(B),multiply(B,inverse(B),C))),C) <->
% multiply(A,inverse(multiply(D,inverse(D),D)),multiply(D,multiply(E,inverse(D),E),
% inverse(E)))
% Rule
% [215]
% multiply(A,inverse(multiply(B,inverse(B),multiply(B,inverse(B),C))),C) <->
% multiply(A,inverse(multiply(a,inverse(a),a)),multiply(a,multiply(a,inverse(a),a),
% inverse(a))) collapsed.
% Current number of equations to process: 3998
% Current number of ordered equations: 0
% Current number of rules: 119
% Rule [218]
% multiply(A,multiply(D,inverse(A),D),inverse(D)) <->
% multiply(A,inverse(multiply(B,inverse(B),multiply(B,inverse(B),C))),C) is composed into 
% [218]
% multiply(A,multiply(D,inverse(A),D),inverse(D)) <-> multiply(A,inverse(C),C)
% Rule [213]
% multiply(A,multiply(D,inverse(A),D),inverse(D)) <->
% multiply(A,inverse(multiply(inverse(B),inverse(inverse(B)),multiply(
% inverse(
% inverse(B)),
% inverse(
% inverse(
% inverse(B))),C))),C) is composed into 
% [213]
% multiply(A,multiply(D,inverse(A),D),inverse(D)) <-> multiply(A,inverse(C),C)
% Rule [212]
% multiply(inverse(A),multiply(B,inverse(inverse(A)),B),inverse(B)) <->
% inverse(multiply(C,inverse(C),multiply(multiply(C,inverse(C),D),
% inverse(multiply(C,inverse(C),D)),A))) is composed into 
% [212]
% multiply(inverse(A),multiply(B,inverse(inverse(A)),B),inverse(B)) <->
% inverse(multiply(multiply(C,inverse(C),D),inverse(D),A))
% Rule [209]
% multiply(A,multiply(D,inverse(A),D),inverse(D)) <->
% multiply(A,inverse(multiply(inverse(inverse(B)),inverse(inverse(
% inverse(B))),
% multiply(inverse(B),inverse(inverse(B)),C))),C) is composed into 
% [209]
% multiply(A,multiply(D,inverse(A),D),inverse(D)) <-> multiply(A,inverse(C),C)
% Rule [208]
% multiply(inverse(A),multiply(B,inverse(inverse(A)),B),inverse(B)) <->
% inverse(multiply(multiply(C,inverse(C),D),inverse(multiply(C,inverse(C),D)),
% multiply(C,inverse(C),A))) is composed into [208]
% multiply(inverse(A),
% multiply(B,inverse(
% inverse(A)),B),
% inverse(B)) <->
% inverse(multiply(
% multiply(C,
% inverse(C),D),
% inverse(D),
% multiply(C,
% inverse(C),A)))
% Rule [197]
% multiply(A,inverse(multiply(B,multiply(multiply(C,B,multiply(D,inverse(D),E)),
% inverse(multiply(C,B,F)),F),C)),multiply(B,E,C))
% ->
% multiply(A,inverse(multiply(a,inverse(a),a)),multiply(a,multiply(a,
% inverse(a),a),
% inverse(a))) is composed into 
% [197]
% multiply(A,inverse(multiply(B,multiply(multiply(C,B,multiply(D,inverse(D),E)),
% inverse(multiply(C,B,F)),F),C)),multiply(B,E,C))
% -> multiply(A,inverse(a),multiply(a,multiply(a,inverse(a),a),inverse(a)))
% Rule [193]
% multiply(A,multiply(F,inverse(A),F),inverse(F)) <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(
% multiply(C,
% inverse(C),C)),
% multiply(C,multiply(D,
% inverse(C),D),
% inverse(D)))) is composed into 
% [193]
% multiply(A,multiply(F,inverse(A),F),inverse(F)) <->
% multiply(A,inverse(B),multiply(B,inverse(C),multiply(C,multiply(D,inverse(C),D),
% inverse(D))))
% Rule [191]
% multiply(A,inverse(multiply(multiply(E,F,G),V_7,multiply(E,F,inverse(G)))),
% multiply(F,V_7,E)) <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,multiply(C,
% inverse(B),C),
% inverse(C))) is composed into 
% [191]
% multiply(A,inverse(multiply(multiply(E,F,G),V_7,multiply(E,F,inverse(G)))),
% multiply(F,V_7,E)) <->
% multiply(A,inverse(B),multiply(B,multiply(C,inverse(B),C),inverse(C)))
% Rule [183]
% multiply(A,multiply(G,inverse(A),G),inverse(G)) <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,multiply(C,
% inverse(B),C),
% inverse(C))) is composed into 
% [183]
% multiply(A,multiply(G,inverse(A),G),inverse(G)) <->
% multiply(A,inverse(B),multiply(B,multiply(C,inverse(B),C),inverse(C)))
% Rule [179]
% multiply(A,multiply(B,inverse(A),B),inverse(B)) <->
% multiply(A,inverse(multiply(D,inverse(D),D)),multiply(D,multiply(E,
% inverse(D),E),
% inverse(E))) is composed into 
% [179]
% multiply(A,multiply(B,inverse(A),B),inverse(B)) <->
% multiply(A,inverse(D),multiply(D,multiply(E,inverse(D),E),inverse(E)))
% Rule [132]
% multiply(A,inverse(multiply(multiply(F,G,V_7),V_8,multiply(F,G,V_9))),
% multiply(G,multiply(V_9,V_8,V_7),F)) <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(
% multiply(C,
% inverse(C),
% multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),E))),E)) is composed into 
% [132]
% multiply(A,inverse(multiply(multiply(F,G,V_7),V_8,multiply(F,G,V_9))),
% multiply(G,multiply(V_9,V_8,V_7),F)) <->
% multiply(A,inverse(B),multiply(B,inverse(multiply(multiply(C,inverse(C),D),
% inverse(D),E)),E))
% Rule [129]
% multiply(A,inverse(multiply(multiply(F,G,V_7),V_8,multiply(F,G,V_9))),
% multiply(G,multiply(V_9,V_8,V_7),F)) <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(
% multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),
% multiply(C,
% inverse(C),E))),E)) is composed into 
% [129]
% multiply(A,inverse(multiply(multiply(F,G,V_7),V_8,multiply(F,G,V_9))),
% multiply(G,multiply(V_9,V_8,V_7),F)) <->
% multiply(A,inverse(B),multiply(B,inverse(multiply(multiply(C,inverse(C),D),
% inverse(D),multiply(C,inverse(C),E))),E))
% Rule [109]
% multiply(A,inverse(multiply(multiply(V_7,V_8,V_9),V_10,multiply(V_7,V_8,V_11))),
% multiply(V_8,multiply(V_11,V_10,V_9),V_7)) <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(
% multiply(
% multiply(C,D,E),F,
% multiply(C,D,G))),
% multiply(D,multiply(G,F,E),C))) is composed into 
% [109]
% multiply(A,inverse(multiply(multiply(V_7,V_8,V_9),V_10,multiply(V_7,V_8,V_11))),
% multiply(V_8,multiply(V_11,V_10,V_9),V_7)) <->
% multiply(A,inverse(B),multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),
% multiply(D,multiply(G,F,E),C)))
% Rule [107]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),
% multiply(C,multiply(F,E,D),B)) <->
% multiply(A,inverse(multiply(multiply(G,V_7,V_8),inverse(multiply(G,V_7,V_8)),
% multiply(G,V_7,V_9))),multiply(V_7,multiply(V_9,
% inverse(multiply(G,V_7,V_10)),V_10),G)) is composed into 
% [107]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,
% multiply(F,E,D),B))
% <->
% multiply(A,inverse(multiply(G,V_7,V_9)),multiply(V_7,multiply(V_9,inverse(
% multiply(G,V_7,V_10)),V_10),G))
% Rule [86]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),
% multiply(C,multiply(F,E,D),B)) ->
% multiply(A,inverse(multiply(a,inverse(a),a)),multiply(a,multiply(a,
% inverse(a),a),
% inverse(a))) is composed into 
% [86]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,
% multiply(F,E,D),B))
% -> multiply(A,inverse(a),multiply(a,multiply(a,inverse(a),a),inverse(a)))
% Rule [80]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),
% multiply(C,multiply(F,E,D),B)) <->
% multiply(A,inverse(multiply(G,inverse(G),multiply(multiply(G,inverse(G),V_7),
% inverse(multiply(G,inverse(G),V_7)),V_8))),V_8) is composed into 
% [80]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,
% multiply(F,E,D),B))
% <->
% multiply(A,inverse(multiply(multiply(G,inverse(G),V_7),inverse(V_7),V_8)),V_8)
% Rule [78]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),
% multiply(C,multiply(F,E,D),B)) <->
% multiply(A,inverse(multiply(multiply(G,inverse(G),V_7),inverse(multiply(G,
% inverse(G),V_7)),
% multiply(G,inverse(G),V_8))),V_8) is composed into 
% [78]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,
% multiply(F,E,D),B))
% <->
% multiply(A,inverse(multiply(multiply(G,inverse(G),V_7),inverse(V_7),multiply(G,
% inverse(G),V_8))),V_8)
% Rule [71]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),
% multiply(C,multiply(F,E,D),B)) <->
% multiply(A,inverse(multiply(G,inverse(G),G)),multiply(G,multiply(V_7,
% inverse(G),V_7),
% inverse(V_7))) is composed into 
% [71]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,
% multiply(F,E,D),B))
% <->
% multiply(A,inverse(G),multiply(G,multiply(V_7,inverse(G),V_7),inverse(V_7)))
% New rule produced : [222] inverse(multiply(A,inverse(A),B)) -> inverse(B)
% Rule
% [8]
% multiply(multiply(A,B,C),inverse(multiply(multiply(D,inverse(D),E),inverse(
% multiply(D,
% inverse(D),E)),
% multiply(D,inverse(D),F))),F) <->
% multiply(B,multiply(C,inverse(multiply(A,B,G)),G),A) collapsed.
% Rule
% [9]
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),multiply(multiply(D,
% inverse(D),E),
% inverse(multiply(D,
% inverse(D),E)),F))),F)
% <-> multiply(B,multiply(C,inverse(multiply(A,B,G)),G),A) collapsed.
% Rule
% [15]
% multiply(multiply(A,B,C),inverse(multiply(multiply(D,E,F),inverse(multiply(D,E,F)),
% multiply(D,E,G))),multiply(E,multiply(G,
% inverse(
% multiply(D,E,V_7)),V_7),D))
% <-> multiply(B,multiply(C,inverse(multiply(A,B,V_8)),V_8),A) collapsed.
% Rule
% [51]
% multiply(A,inverse(multiply(multiply(B,C,D),inverse(multiply(B,C,D)),
% multiply(B,C,E))),multiply(C,multiply(E,inverse(multiply(B,C,F)),F),B))
% <-> multiply(A,multiply(G,inverse(A),G),inverse(G)) collapsed.
% Rule
% [54]
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),inverse(multiply(B,
% inverse(B),C)),
% multiply(B,inverse(B),D))),D) <->
% multiply(A,multiply(E,inverse(A),E),inverse(E)) collapsed.
% Rule
% [68]
% multiply(A,inverse(multiply(B,inverse(B),multiply(multiply(B,inverse(B),C),
% inverse(multiply(B,inverse(B),C)),D))),D)
% <-> multiply(A,multiply(E,inverse(A),E),inverse(E)) collapsed.
% Rule
% [73]
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),D)),multiply(D,
% inverse(multiply(
% multiply(E,F,G),V_7,
% multiply(E,F,V_8))),
% multiply(F,
% multiply(V_8,V_7,G),E)))
% <-> multiply(B,multiply(C,inverse(multiply(A,B,V_9)),V_9),A) collapsed.
% Rule
% [75]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(
% multiply(C,D,E),F,
% multiply(C,D,G))),
% multiply(D,multiply(G,F,E),C)))
% <-> multiply(A,multiply(V_7,inverse(A),V_7),inverse(V_7)) collapsed.
% Rule
% [79]
% multiply(A,inverse(multiply(multiply(G,inverse(G),V_7),inverse(multiply(G,
% inverse(G),V_7)),
% multiply(G,inverse(G),V_8))),V_8) <->
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,
% multiply(F,E,D),B))
% collapsed.
% Rule
% [81]
% multiply(A,inverse(multiply(G,inverse(G),multiply(multiply(G,inverse(G),V_7),
% inverse(multiply(G,inverse(G),V_7)),V_8))),V_8)
% <->
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,
% multiply(F,E,D),B))
% collapsed.
% Rule
% [88]
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),inverse(multiply(B,
% inverse(B),C)),
% multiply(B,inverse(B),D))),D) ->
% multiply(A,inverse(multiply(a,inverse(a),a)),multiply(a,multiply(a,inverse(a),a),
% inverse(a))) collapsed.
% Rule
% [92]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),
% multiply(C,
% inverse(C),E))),E))
% <-> multiply(A,multiply(F,inverse(A),F),inverse(F)) collapsed.
% Rule
% [97]
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),inverse(multiply(B,
% inverse(B),C)),
% multiply(B,inverse(B),D))),D) <->
% multiply(A,inverse(multiply(E,inverse(E),multiply(multiply(E,inverse(E),F),
% inverse(multiply(E,inverse(E),F)),G))),G)
% collapsed.
% Rule
% [98]
% multiply(A,inverse(multiply(E,inverse(E),multiply(multiply(E,inverse(E),F),
% inverse(multiply(E,inverse(E),F)),G))),G)
% <->
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),inverse(multiply(B,
% inverse(B),C)),
% multiply(B,inverse(B),D))),D) collapsed.
% Rule
% [100]
% multiply(A,inverse(multiply(G,inverse(G),multiply(multiply(G,inverse(G),V_7),
% inverse(multiply(G,inverse(G),V_7)),V_8))),V_8)
% <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,multiply(C,inverse(B),C),
% inverse(C))) collapsed.
% Rule
% [102]
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),D)),multiply(D,
% inverse(multiply(E,
% inverse(E),
% multiply(
% multiply(E,
% inverse(E),F),
% inverse(
% multiply(E,
% inverse(E),F)),G))),G))
% <-> multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A) collapsed.
% Rule
% [104]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(C,
% inverse(C),
% multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),E))),E))
% <-> multiply(A,multiply(F,inverse(A),F),inverse(F)) collapsed.
% Rule
% [106]
% multiply(A,inverse(multiply(multiply(G,V_7,V_8),inverse(multiply(G,V_7,V_8)),
% multiply(G,V_7,V_9))),multiply(V_7,multiply(V_9,inverse(
% multiply(G,V_7,V_10)),V_10),G))
% <->
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,
% multiply(F,E,D),B))
% collapsed.
% Rule
% [108]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(
% multiply(C,D,E),F,
% multiply(C,D,G))),
% multiply(D,multiply(G,F,E),C)))
% <->
% multiply(A,inverse(multiply(multiply(V_7,V_8,V_9),V_10,multiply(V_7,V_8,V_11))),
% multiply(V_8,multiply(V_11,V_10,V_9),V_7)) collapsed.
% Rule
% [110]
% multiply(A,inverse(multiply(E,inverse(E),multiply(multiply(E,inverse(E),F),
% inverse(multiply(E,inverse(E),F)),G))),G)
% <->
% multiply(A,inverse(multiply(B,inverse(B),multiply(multiply(B,inverse(B),C),
% inverse(multiply(B,inverse(B),C)),D))),D)
% collapsed.
% Rule
% [111]
% multiply(A,inverse(multiply(multiply(B,inverse(B),B),inverse(multiply(B,
% inverse(B),B)),
% multiply(B,inverse(B),C))),C) <->
% multiply(A,inverse(multiply(multiply(D,inverse(D),E),inverse(multiply(D,
% inverse(D),E)),
% multiply(D,inverse(D),F))),F) collapsed.
% Rule
% [112]
% multiply(A,inverse(multiply(multiply(D,inverse(D),E),inverse(multiply(D,
% inverse(D),E)),
% multiply(D,inverse(D),F))),F) <->
% multiply(A,inverse(multiply(multiply(B,inverse(B),B),inverse(multiply(B,
% inverse(B),B)),
% multiply(B,inverse(B),C))),C) collapsed.
% Rule
% [116]
% multiply(A,inverse(multiply(multiply(B,C,D),inverse(multiply(B,C,D)),
% multiply(B,C,E))),multiply(C,multiply(E,inverse(multiply(B,C,F)),F),B))
% <->
% multiply(A,inverse(multiply(multiply(G,inverse(G),V_7),inverse(multiply(G,
% inverse(G),V_7)),
% multiply(G,inverse(G),V_8))),V_8) collapsed.
% Rule
% [117]
% multiply(A,inverse(multiply(multiply(G,inverse(G),V_7),inverse(multiply(G,
% inverse(G),V_7)),
% multiply(G,inverse(G),V_8))),V_8) <->
% multiply(A,inverse(multiply(multiply(B,C,D),inverse(multiply(B,C,D)),
% multiply(B,C,E))),multiply(C,multiply(E,inverse(multiply(B,C,F)),F),B))
% collapsed.
% Rule
% [120]
% multiply(A,inverse(multiply(E,inverse(E),E)),multiply(E,inverse(multiply(
% multiply(F,G,V_7),V_8,
% multiply(F,G,V_9))),
% multiply(G,multiply(V_9,V_8,V_7),F)))
% <->
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),inverse(multiply(B,
% inverse(B),C)),
% multiply(B,inverse(B),D))),D) collapsed.
% Rule
% [121]
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),inverse(multiply(B,
% inverse(B),C)),
% multiply(B,inverse(B),D))),D) <->
% multiply(A,inverse(multiply(E,inverse(E),E)),multiply(E,inverse(multiply(
% multiply(F,G,V_7),V_8,
% multiply(F,G,V_9))),
% multiply(G,multiply(V_9,V_8,V_7),F)))
% collapsed.
% Rule
% [122]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(
% multiply(C,D,E),F,
% multiply(C,D,G))),
% multiply(D,multiply(G,F,E),C)))
% <->
% multiply(A,inverse(multiply(V_7,inverse(V_7),multiply(multiply(V_7,inverse(V_7),V_8),
% inverse(multiply(V_7,inverse(V_7),V_8)),V_9))),V_9)
% collapsed.
% Rule
% [123]
% multiply(A,inverse(multiply(V_7,inverse(V_7),multiply(multiply(V_7,inverse(V_7),V_8),
% inverse(multiply(V_7,inverse(V_7),V_8)),V_9))),V_9)
% <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(
% multiply(C,D,E),F,
% multiply(C,D,G))),
% multiply(D,multiply(G,F,E),C)))
% collapsed.
% Rule
% [124]
% multiply(A,inverse(multiply(multiply(B,C,D),inverse(multiply(B,C,D)),
% multiply(B,C,E))),multiply(C,multiply(E,inverse(multiply(B,C,F)),F),B))
% <->
% multiply(A,inverse(multiply(G,inverse(G),multiply(multiply(G,inverse(G),V_7),
% inverse(multiply(G,inverse(G),V_7)),V_8))),V_8)
% collapsed.
% Rule
% [125]
% multiply(A,inverse(multiply(G,inverse(G),multiply(multiply(G,inverse(G),V_7),
% inverse(multiply(G,inverse(G),V_7)),V_8))),V_8)
% <->
% multiply(A,inverse(multiply(multiply(B,C,D),inverse(multiply(B,C,D)),
% multiply(B,C,E))),multiply(C,multiply(E,inverse(multiply(B,C,F)),F),B))
% collapsed.
% Rule
% [127]
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),inverse(multiply(B,
% inverse(B),C)),
% multiply(B,inverse(B),D))),D) <->
% multiply(A,inverse(multiply(E,inverse(E),E)),multiply(E,multiply(F,inverse(E),F),
% inverse(F))) collapsed.
% Rule
% [128]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),
% multiply(C,
% inverse(C),E))),E))
% <->
% multiply(A,inverse(multiply(multiply(F,G,V_7),V_8,multiply(F,G,V_9))),
% multiply(G,multiply(V_9,V_8,V_7),F)) collapsed.
% Rule
% [130]
% multiply(multiply(C,A,B),inverse(multiply(E,inverse(E),E)),multiply(E,
% inverse(multiply(
% multiply(F,
% inverse(F),G),
% inverse(
% multiply(F,
% inverse(F),G)),
% multiply(F,
% inverse(F),V_7))),V_7))
% <-> multiply(A,multiply(B,inverse(multiply(C,A,D)),D),C) collapsed.
% Rule
% [131]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(C,
% inverse(C),
% multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),E))),E))
% <->
% multiply(A,inverse(multiply(multiply(F,G,V_7),V_8,multiply(F,G,V_9))),
% multiply(G,multiply(V_9,V_8,V_7),F)) collapsed.
% Rule
% [134]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),
% multiply(C,
% inverse(C),E))),E))
% <->
% multiply(A,inverse(multiply(F,inverse(F),multiply(multiply(F,inverse(F),G),
% inverse(multiply(F,inverse(F),G)),V_7))),V_7)
% collapsed.
% Rule
% [135]
% multiply(A,inverse(multiply(F,inverse(F),multiply(multiply(F,inverse(F),G),
% inverse(multiply(F,inverse(F),G)),V_7))),V_7)
% <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),
% multiply(C,
% inverse(C),E))),E))
% collapsed.
% Rule
% [136]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(C,
% inverse(C),
% multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),E))),E))
% <->
% multiply(A,inverse(multiply(F,inverse(F),multiply(multiply(F,inverse(F),G),
% inverse(multiply(F,inverse(F),G)),V_7))),V_7)
% collapsed.
% Rule
% [137]
% multiply(A,inverse(multiply(F,inverse(F),multiply(multiply(F,inverse(F),G),
% inverse(multiply(F,inverse(F),G)),V_7))),V_7)
% <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(C,
% inverse(C),
% multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),E))),E))
% collapsed.
% Rule
% [138]
% multiply(A,inverse(multiply(E,inverse(E),E)),multiply(E,inverse(multiply(
% multiply(F,
% inverse(F),G),
% inverse(
% multiply(F,
% inverse(F),G)),
% multiply(F,
% inverse(F),V_7))),V_7))
% <->
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),inverse(multiply(B,
% inverse(B),C)),
% multiply(B,inverse(B),D))),D) collapsed.
% Rule
% [139]
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),inverse(multiply(B,
% inverse(B),C)),
% multiply(B,inverse(B),D))),D) <->
% multiply(A,inverse(multiply(E,inverse(E),E)),multiply(E,inverse(multiply(
% multiply(F,
% inverse(F),G),
% inverse(
% multiply(F,
% inverse(F),G)),
% multiply(F,
% inverse(F),V_7))),V_7))
% collapsed.
% Rule
% [140]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(C,
% inverse(C),
% multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),E))),E))
% <->
% multiply(A,inverse(multiply(multiply(F,inverse(F),G),inverse(multiply(F,
% inverse(F),G)),
% multiply(F,inverse(F),V_7))),V_7) collapsed.
% Rule
% [141]
% multiply(A,inverse(multiply(multiply(F,inverse(F),G),inverse(multiply(F,
% inverse(F),G)),
% multiply(F,inverse(F),V_7))),V_7) <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(C,
% inverse(C),
% multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),E))),E))
% collapsed.
% Rule
% [143]
% multiply(A,inverse(multiply(multiply(E,F,G),inverse(multiply(E,F,G)),
% multiply(E,F,V_7))),multiply(F,multiply(V_7,inverse(
% multiply(E,F,V_8)),V_8),E))
% <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,multiply(C,inverse(B),C),
% inverse(C))) collapsed.
% Rule
% [144]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(
% multiply(C,D,E),F,
% multiply(C,D,G))),
% multiply(D,multiply(G,F,E),C)))
% <->
% multiply(A,inverse(multiply(V_7,inverse(V_7),V_7)),multiply(V_7,multiply(V_8,
% inverse(V_7),V_8),
% inverse(V_8))) collapsed.
% Rule
% [147]
% multiply(A,inverse(multiply(multiply(B,C,D),inverse(multiply(B,C,D)),
% multiply(B,C,E))),multiply(C,multiply(E,inverse(multiply(B,C,F)),F),B))
% ->
% multiply(A,inverse(multiply(a,inverse(a),a)),multiply(a,multiply(a,inverse(a),a),
% inverse(a))) collapsed.
% Rule
% [149]
% multiply(A,inverse(multiply(G,inverse(G),G)),multiply(G,inverse(multiply(
% multiply(V_7,V_8,V_9),V_10,
% multiply(V_7,V_8,V_11))),
% multiply(V_8,multiply(V_11,V_10,V_9),V_7)))
% <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,multiply(C,inverse(B),C),
% inverse(C))) collapsed.
% Rule
% [162]
% multiply(A,inverse(multiply(E,inverse(E),E)),multiply(E,inverse(multiply(
% multiply(F,
% inverse(F),G),
% inverse(
% multiply(F,
% inverse(F),G)),
% multiply(F,
% inverse(F),V_7))),V_7))
% <->
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,multiply(C,inverse(B),C),
% inverse(C))) collapsed.
% Rule
% [163]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(C,
% inverse(C),
% multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),E))),E))
% <->
% multiply(A,inverse(multiply(F,inverse(F),F)),multiply(F,multiply(G,inverse(F),G),
% inverse(G))) collapsed.
% Rule [173] multiply(A,inverse(multiply(B,inverse(B),C)),C) -> A collapsed.
% Rule
% [176]
% multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),multiply(D,
% inverse(D),E))),E)
% -> B collapsed.
% Rule
% [178]
% multiply(A,inverse(multiply(D,inverse(D),D)),multiply(D,multiply(E,inverse(D),E),
% inverse(E))) <->
% multiply(A,multiply(B,inverse(A),B),inverse(B)) collapsed.
% Rule
% [187]
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),D)),multiply(D,
% multiply(E,
% inverse(D),E),
% inverse(E))) <->
% multiply(B,multiply(C,inverse(multiply(A,B,G)),G),A) collapsed.
% Rule
% [188]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,multiply(C,inverse(B),C),
% inverse(C))) <->
% multiply(A,inverse(multiply(E,inverse(E),E)),multiply(E,multiply(F,inverse(E),F),
% inverse(F))) collapsed.
% Rule
% [189]
% multiply(B,inverse(A),multiply(A,inverse(multiply(C,inverse(C),multiply(
% multiply(C,
% inverse(C),D),
% inverse(
% multiply(C,
% inverse(C),D)),E))),E))
% -> B collapsed.
% Rule
% [192]
% multiply(B,inverse(A),multiply(A,inverse(multiply(C,inverse(C),C)),multiply(C,
% multiply(D,
% inverse(C),D),
% inverse(D))))
% -> B collapsed.
% Rule
% [194]
% multiply(A,inverse(multiply(B,inverse(B),B)),multiply(B,inverse(multiply(C,
% inverse(C),C)),
% multiply(C,multiply(D,inverse(C),D),
% inverse(D)))) <->
% multiply(A,multiply(F,inverse(A),F),inverse(F)) collapsed.
% Rule
% [196]
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),D)),multiply(D,
% inverse(multiply(E,
% inverse(E),E)),
% multiply(E,
% multiply(F,
% inverse(E),F),
% inverse(F)))) <->
% multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A) collapsed.
% Rule
% [206]
% inverse(multiply(multiply(C,inverse(C),D),inverse(multiply(C,inverse(C),D)),
% multiply(C,inverse(C),A))) <->
% multiply(inverse(A),multiply(B,inverse(inverse(A)),B),inverse(B)) collapsed.
% Rule
% [207]
% multiply(A,inverse(multiply(inverse(inverse(B)),inverse(inverse(inverse(B))),
% multiply(inverse(B),inverse(inverse(B)),C))),C) <->
% multiply(A,multiply(D,inverse(A),D),inverse(D)) collapsed.
% Rule
% [210]
% inverse(multiply(C,inverse(C),multiply(multiply(C,inverse(C),D),inverse(
% multiply(C,
% inverse(C),D)),A)))
% <-> multiply(inverse(A),multiply(B,inverse(inverse(A)),B),inverse(B))
% collapsed.
% Rule
% [211]
% multiply(A,inverse(multiply(inverse(B),inverse(inverse(B)),multiply(inverse(
% inverse(B)),
% inverse(inverse(
% inverse(B))),C))),C)
% <-> multiply(A,multiply(D,inverse(A),D),inverse(D)) collapsed.
% Rule
% [217]
% multiply(A,inverse(multiply(B,inverse(B),multiply(B,inverse(B),C))),C) <->
% multiply(A,multiply(D,inverse(A),D),inverse(D)) collapsed.
% Rule
% [219]
% multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),multiply(D,inverse(D),E))),E)
% <-> multiply(B,multiply(C,inverse(multiply(A,B,F)),F),A) collapsed.
% Rule
% [220]
% multiply(A,inverse(multiply(D,inverse(D),D)),multiply(D,multiply(E,inverse(D),E),
% inverse(E))) <->
% multiply(A,inverse(multiply(B,inverse(B),multiply(B,inverse(B),C))),C)
% collapsed.
% Rule
% [221]
% multiply(A,inverse(multiply(B,inverse(B),multiply(B,inverse(B),C))),C) <->
% multiply(A,inverse(multiply(D,inverse(D),D)),multiply(D,multiply(E,inverse(D),E),
% inverse(E))) collapsed.
% Current number of equations to process: 4073
% Current number of ordered equations: 0
% Current number of rules: 55
% Rule [218]
% multiply(A,multiply(D,inverse(A),D),inverse(D)) <->
% multiply(A,inverse(C),C) is composed into [218]
% multiply(A,multiply(D,
% inverse(A),D),
% inverse(D)) -> A
% Rule [213]
% multiply(A,multiply(D,inverse(A),D),inverse(D)) <->
% multiply(A,inverse(C),C) is composed into [213]
% multiply(A,multiply(D,
% inverse(A),D),
% inverse(D)) -> A
% Rule [209]
% multiply(A,multiply(D,inverse(A),D),inverse(D)) <->
% multiply(A,inverse(C),C) is composed into [209]
% multiply(A,multiply(D,
% inverse(A),D),
% inverse(D)) -> A
% Rule [197]
% multiply(A,inverse(multiply(B,multiply(multiply(C,B,multiply(D,inverse(D),E)),
% inverse(multiply(C,B,F)),F),C)),multiply(B,E,C))
% ->
% multiply(A,inverse(a),multiply(a,multiply(a,inverse(a),a),inverse(a))) is composed into 
% [197]
% multiply(A,inverse(multiply(B,multiply(multiply(C,B,multiply(D,inverse(D),E)),
% inverse(multiply(C,B,F)),F),C)),multiply(B,E,C))
% -> multiply(A,inverse(a),multiply(a,a,inverse(a)))
% Rule [86]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),
% multiply(C,multiply(F,E,D),B)) ->
% multiply(A,inverse(a),multiply(a,multiply(a,inverse(a),a),inverse(a))) is composed into 
% [86]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,
% multiply(F,E,D),B))
% -> multiply(A,inverse(a),multiply(a,a,inverse(a)))
% New rule produced : [223] multiply(A,inverse(C),C) -> A
% Current number of equations to process: 4072
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced : [224] multiply(A,inverse(inverse(inverse(B))),B) -> A
% Current number of equations to process: 4071
% Current number of ordered equations: 0
% Current number of rules: 57
% Rule [212]
% multiply(inverse(A),multiply(B,inverse(inverse(A)),B),inverse(B)) <->
% inverse(multiply(multiply(C,inverse(C),D),inverse(D),A)) is composed into 
% [212]
% multiply(inverse(A),multiply(B,inverse(inverse(A)),B),inverse(B)) ->
% inverse(A)
% Rule [208]
% multiply(inverse(A),multiply(B,inverse(inverse(A)),B),inverse(B)) <->
% inverse(multiply(multiply(C,inverse(C),D),inverse(D),multiply(C,
% inverse(C),A))) is composed into 
% [208]
% multiply(inverse(A),multiply(B,inverse(inverse(A)),B),inverse(B)) ->
% inverse(A)
% Rule [202]
% multiply(A,multiply(F,inverse(A),F),inverse(F)) <->
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),D,multiply(B,
% inverse(B),E))),
% multiply(E,D,C)) is composed into [202]
% multiply(A,multiply(F,inverse(A),F),
% inverse(F)) <->
% multiply(A,inverse(multiply(C,D,E)),
% multiply(E,D,C))
% Rule [181]
% multiply(A,multiply(G,inverse(A),G),inverse(G)) <->
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),D,multiply(B,
% inverse(B),
% inverse(C)))),D) is composed into 
% [181]
% multiply(A,multiply(G,inverse(A),G),inverse(G)) <->
% multiply(A,inverse(multiply(C,D,inverse(C))),D)
% Rule [132]
% multiply(A,inverse(multiply(multiply(F,G,V_7),V_8,multiply(F,G,V_9))),
% multiply(G,multiply(V_9,V_8,V_7),F)) <->
% multiply(A,inverse(B),multiply(B,inverse(multiply(multiply(C,inverse(C),D),
% inverse(D),E)),E)) is composed into 
% [132]
% multiply(A,inverse(multiply(multiply(F,G,V_7),V_8,multiply(F,G,V_9))),
% multiply(G,multiply(V_9,V_8,V_7),F)) <->
% multiply(A,inverse(B),multiply(B,inverse(E),E))
% Rule [129]
% multiply(A,inverse(multiply(multiply(F,G,V_7),V_8,multiply(F,G,V_9))),
% multiply(G,multiply(V_9,V_8,V_7),F)) <->
% multiply(A,inverse(B),multiply(B,inverse(multiply(multiply(C,inverse(C),D),
% inverse(D),multiply(C,inverse(C),E))),E)) is composed into 
% [129]
% multiply(A,inverse(multiply(multiply(F,G,V_7),V_8,multiply(F,G,V_9))),
% multiply(G,multiply(V_9,V_8,V_7),F)) <->
% multiply(A,inverse(B),multiply(B,inverse(E),E))
% Rule [80]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),
% multiply(C,multiply(F,E,D),B)) <->
% multiply(A,inverse(multiply(multiply(G,inverse(G),V_7),inverse(V_7),V_8)),V_8) is composed into 
% [80]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,
% multiply(F,E,D),B))
% <-> multiply(A,inverse(V_8),V_8)
% Rule [78]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),
% multiply(C,multiply(F,E,D),B)) <->
% multiply(A,inverse(multiply(multiply(G,inverse(G),V_7),inverse(V_7),
% multiply(G,inverse(G),V_8))),V_8) is composed into 
% [78]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,
% multiply(F,E,D),B))
% <-> multiply(A,inverse(V_8),V_8)
% New rule produced : [225] multiply(A,inverse(A),B) -> B
% Rule
% [150]
% multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,multiply(E,
% multiply(F,G,V_7),V_8)),
% inverse(multiply(multiply(V_8,E,V_7),G,
% multiply(V_8,E,F))),
% multiply(C,D,multiply(V_9,inverse(V_9),V_10)))),
% multiply(D,V_10,C)) -> B collapsed.
% Rule
% [180]
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),D,multiply(B,inverse(B),
% inverse(C)))),D) <->
% multiply(A,multiply(G,inverse(A),G),inverse(G)) collapsed.
% Rule
% [185]
% multiply(multiply(A,B,C),inverse(multiply(multiply(D,inverse(D),E),F,
% multiply(D,inverse(D),inverse(E)))),F) <->
% multiply(B,multiply(C,inverse(multiply(A,B,V_8)),V_8),A) collapsed.
% Rule
% [197]
% multiply(A,inverse(multiply(B,multiply(multiply(C,B,multiply(D,inverse(D),E)),
% inverse(multiply(C,B,F)),F),C)),multiply(B,E,C))
% -> multiply(A,inverse(a),multiply(a,a,inverse(a))) collapsed.
% Rule
% [205]
% multiply(A,inverse(multiply(multiply(B,inverse(B),C),D,multiply(B,inverse(B),E))),
% multiply(E,D,C)) <-> multiply(A,multiply(F,inverse(A),F),inverse(F))
% collapsed.
% Rule [222] inverse(multiply(A,inverse(A),B)) -> inverse(B) collapsed.
% Current number of equations to process: 4075
% Current number of ordered equations: 0
% Current number of rules: 52
% Rule [181]
% multiply(A,multiply(G,inverse(A),G),inverse(G)) <->
% multiply(A,inverse(multiply(C,D,inverse(C))),D) is composed into 
% [181] multiply(A,multiply(G,inverse(A),G),inverse(G)) -> A
% New rule produced :
% [226] multiply(A,inverse(multiply(C,D,inverse(C))),D) -> A
% Current number of equations to process: 4073
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [227]
% multiply(A,B,C) <-> multiply(B,multiply(C,inverse(multiply(A,B,F)),F),A)
% Current number of equations to process: 4072
% Current number of ordered equations: 1
% Current number of rules: 54
% Rule [41]
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(B,inverse(
% multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,E)),E),B)),B),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,F)),F),multiply(B,inverse(
% multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,F)),F),G)),G),C) is composed into 
% [41]
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,E)),E),B)),B),C)
% <-> multiply(C,multiply(A,inverse(multiply(B,C,F)),F),B)
% Rule [34]
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(E,inverse(
% multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,F)),F),B)),B),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(E,inverse(
% multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,D)),D),G)),G),C) is composed into 
% [34]
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(E,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,F)),F),B)),B),C)
% -> multiply(C,multiply(A,inverse(multiply(B,C,D)),D),E)
% New rule produced :
% [228]
% multiply(B,multiply(C,inverse(multiply(A,B,F)),F),A) <-> multiply(A,B,C)
% Rule
% [31]
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,D)),D),E)),E),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,F)),F),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,F)),F),G)),G),C)
% collapsed.
% Rule
% [33]
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(E,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,D)),D),G)),G),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(E,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,F)),F),B)),B),C)
% collapsed.
% Rule
% [42]
% multiply(multiply(A,inverse(multiply(B,C,F)),F),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,F)),F),G)),G),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,E)),E),B)),B),C)
% collapsed.
% Current number of equations to process: 4072
% Current number of ordered equations: 0
% Current number of rules: 52
% Rule [202]
% multiply(A,multiply(F,inverse(A),F),inverse(F)) <->
% multiply(A,inverse(multiply(C,D,E)),multiply(E,D,C)) is composed into 
% [202] multiply(A,multiply(F,inverse(A),F),inverse(F)) -> A
% New rule produced :
% [229] multiply(A,inverse(multiply(C,D,E)),multiply(E,D,C)) -> A
% Current number of equations to process: 4071
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [230]
% multiply(A,inverse(multiply(C,B,multiply(C,B,E))),multiply(B,E,C)) <->
% multiply(A,inverse(a),multiply(a,a,inverse(a)))
% Current number of equations to process: 4039
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [231]
% multiply(A,inverse(a),multiply(a,a,inverse(a))) <->
% multiply(A,inverse(multiply(C,B,multiply(C,B,E))),multiply(B,E,C))
% Current number of equations to process: 4039
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [232]
% multiply(A,inverse(multiply(inverse(C),B,D)),multiply(B,multiply(D,inverse(B),C),
% inverse(C))) -> A
% Current number of equations to process: 4038
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [233]
% multiply(A,inverse(multiply(multiply(B,C,D),inverse(D),multiply(B,C,F))),
% multiply(C,F,B)) -> A
% Current number of equations to process: 4033
% Current number of ordered equations: 1
% Current number of rules: 57
% New rule produced :
% [234]
% multiply(A,inverse(multiply(B,C,D)),multiply(C,multiply(E,inverse(multiply(B,C,E)),D),B))
% -> A
% Current number of equations to process: 4033
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [235] multiply(inverse(A),inverse(a),multiply(a,a,inverse(a))) -> inverse(A)
% Current number of equations to process: 4032
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [236]
% multiply(multiply(A,inverse(B),A),multiply(C,inverse(B),inverse(A)),B) ->
% multiply(B,multiply(A,inverse(B),A),C)
% Current number of equations to process: 4023
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [237]
% multiply(A,inverse(multiply(multiply(B,C,inverse(D)),multiply(D,inverse(E),D),
% multiply(B,C,E))),multiply(C,E,B)) -> A
% Current number of equations to process: 4027
% Current number of ordered equations: 0
% Current number of rules: 61
% Rule [230]
% multiply(A,inverse(multiply(C,B,multiply(C,B,E))),multiply(B,E,C)) <->
% multiply(A,inverse(a),multiply(a,a,inverse(a))) is composed into 
% [230] multiply(A,inverse(multiply(C,B,multiply(C,B,E))),multiply(B,E,C)) -> A
% Rule [86]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),
% multiply(C,multiply(F,E,D),B)) ->
% multiply(A,inverse(a),multiply(a,a,inverse(a))) is composed into 
% [86]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,
% multiply(F,E,D),B))
% -> A
% New rule produced :
% [238] multiply(A,inverse(a),multiply(a,a,inverse(a))) -> A
% Rule
% [231]
% multiply(A,inverse(a),multiply(a,a,inverse(a))) <->
% multiply(A,inverse(multiply(C,B,multiply(C,B,E))),multiply(B,E,C)) collapsed.
% Rule
% [235] multiply(inverse(A),inverse(a),multiply(a,a,inverse(a))) -> inverse(A)
% collapsed.
% Current number of equations to process: 4030
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [239]
% multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(B),C),D),E,B)),
% multiply(multiply(C,inverse(B),C),multiply(inverse(C),E,D),B)) -> A
% Current number of equations to process: 4030
% Current number of ordered equations: 1
% Current number of rules: 61
% New rule produced :
% [240]
% multiply(A,inverse(multiply(B,C,multiply(B,multiply(D,inverse(B),D),E))),
% multiply(multiply(D,inverse(B),D),multiply(E,C,inverse(D)),B)) -> A
% Current number of equations to process: 4030
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [241]
% multiply(multiply(A,B,C),inverse(multiply(D,E,multiply(inverse(F),D,G))),
% multiply(D,multiply(G,E,F),inverse(F))) <->
% multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A)
% Current number of equations to process: 4025
% Current number of ordered equations: 2
% Current number of rules: 63
% New rule produced :
% [242]
% multiply(multiply(A,B,C),inverse(multiply(multiply(inverse(D),E,F),G,E)),
% multiply(E,multiply(D,G,F),inverse(D))) <->
% multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A)
% Current number of equations to process: 4025
% Current number of ordered equations: 0
% Current number of rules: 64
% Rule [200]
% multiply(A,multiply(F,inverse(A),F),inverse(F)) <->
% multiply(A,inverse(multiply(B,C,multiply(inverse(D),B,E))),multiply(B,
% multiply(E,C,D),
% inverse(D))) is composed into 
% [200] multiply(A,multiply(F,inverse(A),F),inverse(F)) -> A
% New rule produced :
% [243]
% multiply(A,inverse(multiply(B,C,multiply(inverse(D),B,E))),multiply(B,
% multiply(E,C,D),
% inverse(D))) -> A
% Rule
% [203]
% multiply(A,inverse(multiply(B,C,multiply(inverse(D),B,E))),multiply(B,
% multiply(E,C,D),
% inverse(D))) <->
% multiply(A,multiply(F,inverse(A),F),inverse(F)) collapsed.
% Rule
% [241]
% multiply(multiply(A,B,C),inverse(multiply(D,E,multiply(inverse(F),D,G))),
% multiply(D,multiply(G,E,F),inverse(F))) <->
% multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A) collapsed.
% Current number of equations to process: 4019
% Current number of ordered equations: 1
% Current number of rules: 63
% Rule [201]
% multiply(A,multiply(F,inverse(A),F),inverse(F)) <->
% multiply(A,inverse(multiply(multiply(inverse(B),C,D),E,C)),multiply(C,
% multiply(B,E,D),
% inverse(B))) is composed into 
% [201] multiply(A,multiply(F,inverse(A),F),inverse(F)) -> A
% New rule produced :
% [244]
% multiply(A,inverse(multiply(multiply(inverse(B),C,D),E,C)),multiply(C,
% multiply(B,E,D),
% inverse(B))) -> A
% Rule
% [204]
% multiply(A,inverse(multiply(multiply(inverse(B),C,D),E,C)),multiply(C,
% multiply(B,E,D),
% inverse(B))) <->
% multiply(A,multiply(F,inverse(A),F),inverse(F)) collapsed.
% Rule
% [242]
% multiply(multiply(A,B,C),inverse(multiply(multiply(inverse(D),E,F),G,E)),
% multiply(E,multiply(D,G,F),inverse(D))) <->
% multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A) collapsed.
% Current number of equations to process: 4019
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [245]
% multiply(inverse(B),multiply(C,inverse(multiply(D,inverse(B),a)),a),D) ->
% multiply(inverse(B),multiply(C,inverse(D),B),D)
% Current number of equations to process: 3993
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [246]
% multiply(inverse(B),multiply(C,inverse(multiply(D,inverse(B),E)),E),D) ->
% multiply(inverse(B),multiply(C,inverse(D),B),D)
% Rule
% [245]
% multiply(inverse(B),multiply(C,inverse(multiply(D,inverse(B),a)),a),D) ->
% multiply(inverse(B),multiply(C,inverse(D),B),D) collapsed.
% Current number of equations to process: 3992
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [247]
% multiply(multiply(A,inverse(B),inverse(C)),multiply(B,inverse(multiply(B,
% multiply(C,
% inverse(B),C),A)),B),
% multiply(C,inverse(B),C)) -> multiply(B,multiply(C,inverse(B),C),A)
% Current number of equations to process: 3990
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [248]
% inverse(multiply(multiply(E,A,D),C,multiply(E,A,B))) <->
% inverse(multiply(A,multiply(B,C,D),E))
% Rule
% [191]
% multiply(A,inverse(multiply(multiply(E,F,G),V_7,multiply(E,F,inverse(G)))),
% multiply(F,V_7,E)) <->
% multiply(A,inverse(B),multiply(B,multiply(C,inverse(B),C),inverse(C)))
% collapsed.
% Current number of equations to process: 3986
% Current number of ordered equations: 1
% Current number of rules: 64
% New rule produced :
% [249]
% inverse(multiply(A,multiply(B,C,D),E)) <->
% inverse(multiply(multiply(E,A,D),C,multiply(E,A,B)))
% Current number of equations to process: 3986
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [250]
% multiply(A,multiply(inverse(C),inverse(A),B),inverse(B)) <->
% multiply(A,inverse(multiply(inverse(B),A,C)),inverse(B))
% Current number of equations to process: 4016
% Current number of ordered equations: 1
% Current number of rules: 66
% New rule produced :
% [251]
% multiply(A,inverse(multiply(inverse(B),A,C)),inverse(B)) <->
% multiply(A,multiply(inverse(C),inverse(A),B),inverse(B))
% Current number of equations to process: 4016
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [252]
% multiply(multiply(B,inverse(inverse(A)),B),multiply(C,inverse(multiply(B,
% inverse(
% inverse(A)),B)),A),
% inverse(A)) -> multiply(inverse(A),multiply(B,inverse(inverse(A)),B),C)
% Current number of equations to process: 4017
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [253]
% multiply(B,inverse(multiply(C,D,multiply(D,multiply(F,inverse(multiply(C,D,G)),G),C))),
% multiply(D,F,C)) -> B
% Current number of equations to process: 4005
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [254] multiply(inverse(C),multiply(C,inverse(A),C),A) -> A
% Current number of equations to process: 4004
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [255]
% multiply(A,inverse(multiply(B,C,inverse(E))),multiply(C,inverse(multiply(B,C,E)),B))
% -> A
% Current number of equations to process: 3998
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [256]
% multiply(A,inverse(multiply(B,multiply(multiply(C,D,E),inverse(multiply(
% multiply(C,D,F),B,a)),a),
% multiply(C,D,F))),multiply(D,multiply(E,B,F),C)) -> A
% Current number of equations to process: 3997
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [257]
% multiply(multiply(A,inverse(B),inverse(C)),multiply(D,inverse(multiply(B,
% multiply(C,
% inverse(B),C),A)),B),
% multiply(C,inverse(B),C)) <->
% multiply(multiply(C,inverse(B),C),multiply(A,inverse(B),inverse(C)),D)
% Current number of equations to process: 3988
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [258]
% multiply(multiply(C,inverse(B),C),multiply(A,inverse(B),inverse(C)),D) <->
% multiply(multiply(A,inverse(B),inverse(C)),multiply(D,inverse(multiply(B,
% multiply(C,
% inverse(B),C),A)),B),
% multiply(C,inverse(B),C))
% Current number of equations to process: 3988
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [259]
% multiply(multiply(A,inverse(multiply(inverse(B),C,D)),D),multiply(inverse(B),
% inverse(multiply(C,
% multiply(A,
% inverse(C),B),
% inverse(B))),
% inverse(B)),C) ->
% multiply(C,multiply(A,inverse(C),B),inverse(B))
% Current number of equations to process: 3987
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [260]
% multiply(multiply(multiply(A,B,C),D,multiply(A,B,E)),multiply(B,multiply(E,D,C),A),
% inverse(multiply(B,multiply(E,D,C),A))) ->
% multiply(multiply(A,B,C),D,multiply(A,B,E))
% Current number of equations to process: 3985
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [261]
% multiply(multiply(A,inverse(multiply(inverse(B),C,D)),D),multiply(E,inverse(
% multiply(C,
% multiply(A,
% inverse(C),B),
% inverse(B))),
% inverse(B)),C) ->
% multiply(C,multiply(A,inverse(multiply(inverse(B),C,D)),D),E)
% Rule
% [259]
% multiply(multiply(A,inverse(multiply(inverse(B),C,D)),D),multiply(inverse(B),
% inverse(multiply(C,
% multiply(A,
% inverse(C),B),
% inverse(B))),
% inverse(B)),C) ->
% multiply(C,multiply(A,inverse(C),B),inverse(B)) collapsed.
% Current number of equations to process: 3984
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [262]
% multiply(A,inverse(multiply(B,C,multiply(B,inverse(E),F))),multiply(inverse(E),
% multiply(F,C,E),B))
% -> A
% Current number of equations to process: 3980
% Current number of ordered equations: 1
% Current number of rules: 77
% New rule produced :
% [263]
% multiply(A,inverse(multiply(multiply(B,inverse(D),E),F,B)),multiply(inverse(D),
% multiply(D,F,E),B))
% -> A
% Current number of equations to process: 3980
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [264]
% multiply(inverse(multiply(A,B,C)),multiply(D,inverse(B),multiply(A,B,C)),B)
% <->
% multiply(inverse(multiply(A,B,C)),multiply(D,inverse(multiply(B,multiply(
% inverse(C),
% inverse(
% multiply(A,B,F)),F),A)),A),B)
% Current number of equations to process: 3976
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced :
% [265]
% multiply(inverse(multiply(A,B,C)),multiply(D,inverse(multiply(B,multiply(
% inverse(C),
% inverse(
% multiply(A,B,F)),F),A)),A),B)
% <->
% multiply(inverse(multiply(A,B,C)),multiply(D,inverse(B),multiply(A,B,C)),B)
% Current number of equations to process: 3976
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [266]
% multiply(B,inverse(multiply(multiply(C,D,multiply(E,multiply(F,G,V_7),V_8)),
% inverse(multiply(multiply(V_8,E,V_7),G,multiply(V_8,E,F))),
% multiply(C,D,V_10))),multiply(D,V_10,C)) -> B
% Current number of equations to process: 3974
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [267]
% multiply(multiply(C,inverse(multiply(A,multiply(B,inverse(A),B),D)),D),
% multiply(A,inverse(multiply(A,multiply(B,inverse(A),B),C)),A),multiply(B,
% inverse(A),B))
% -> multiply(A,multiply(B,inverse(A),B),C)
% Current number of equations to process: 3981
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [268]
% multiply(A,inverse(multiply(multiply(B,C,inverse(D)),multiply(E,inverse(
% multiply(
% inverse(D),F,G)),G),
% multiply(B,C,F))),multiply(C,multiply(F,multiply(E,
% inverse(F),D),
% inverse(D)),B)) -> A
% Current number of equations to process: 3959
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [269]
% multiply(A,inverse(multiply(multiply(B,C,D),multiply(E,inverse(multiply(D,F,G)),G),
% multiply(B,C,F))),multiply(C,multiply(F,multiply(E,
% inverse(multiply(D,F,a)),a),D),B))
% -> A
% Current number of equations to process: 3958
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [270]
% multiply(A,inverse(multiply(D,inverse(multiply(a,a,a)),multiply(a,multiply(a,a,a),
% inverse(a)))),D) -> A
% Current number of equations to process: 3949
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [271]
% multiply(B,multiply(inverse(C),inverse(multiply(A,B,E)),E),A) <->
% multiply(inverse(multiply(A,B,C)),multiply(A,inverse(B),multiply(A,B,C)),B)
% Current number of equations to process: 3934
% Current number of ordered equations: 1
% Current number of rules: 86
% Rule [271]
% multiply(B,multiply(inverse(C),inverse(multiply(A,B,E)),E),A) <->
% multiply(inverse(multiply(A,B,C)),multiply(A,inverse(B),multiply(A,B,C)),B) is composed into 
% [271]
% multiply(B,multiply(inverse(C),inverse(multiply(A,B,E)),E),A) <->
% multiply(B,multiply(inverse(C),inverse(multiply(A,B,a)),a),A)
% New rule produced :
% [272]
% multiply(inverse(multiply(A,B,C)),multiply(A,inverse(B),multiply(A,B,C)),B)
% <-> multiply(B,multiply(inverse(C),inverse(multiply(A,B,E)),E),A)
% Current number of equations to process: 3934
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [273]
% multiply(multiply(A,inverse(multiply(B,C,D)),D),inverse(multiply(C,multiply(A,
% inverse(
% multiply(B,C,D)),D),E)),C)
% -> multiply(C,multiply(A,inverse(multiply(B,C,D)),D),inverse(E))
% Current number of equations to process: 3929
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [274]
% multiply(multiply(A,inverse(multiply(B,C,D)),D),inverse(multiply(C,multiply(A,
% inverse(
% multiply(B,C,E)),E),B)),C)
% -> multiply(C,multiply(A,inverse(multiply(B,C,D)),D),inverse(B))
% Current number of equations to process: 3928
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [275]
% multiply(multiply(B,inverse(A),B),inverse(multiply(A,multiply(B,inverse(A),B),C)),A)
% -> multiply(A,multiply(B,inverse(A),B),inverse(C))
% Current number of equations to process: 3934
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [276]
% multiply(B,multiply(A,inverse(B),A),inverse(inverse(A))) ->
% multiply(A,inverse(B),A)
% Current number of equations to process: 3973
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [277]
% multiply(multiply(A,A,B),multiply(A,A,inverse(B)),inverse(A)) ->
% multiply(A,A,B)
% Current number of equations to process: 3972
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [278]
% multiply(A,multiply(A,inverse(multiply(B,A,a)),a),B) <->
% multiply(A,multiply(B,A,inverse(B)),B)
% Current number of equations to process: 3972
% Current number of ordered equations: 1
% Current number of rules: 93
% New rule produced :
% [279]
% multiply(A,multiply(B,A,inverse(B)),B) <->
% multiply(A,multiply(A,inverse(multiply(B,A,a)),a),B)
% Current number of equations to process: 3972
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [280]
% multiply(A,multiply(B,A,inverse(B)),B) <->
% multiply(A,multiply(A,inverse(multiply(B,A,C)),C),B)
% Rule
% [279]
% multiply(A,multiply(B,A,inverse(B)),B) <->
% multiply(A,multiply(A,inverse(multiply(B,A,a)),a),B) collapsed.
% Current number of equations to process: 3988
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [281]
% multiply(A,multiply(A,inverse(multiply(B,A,C)),C),B) <->
% multiply(A,multiply(B,A,inverse(B)),B)
% Rule
% [278]
% multiply(A,multiply(A,inverse(multiply(B,A,a)),a),B) <->
% multiply(A,multiply(B,A,inverse(B)),B) collapsed.
% Current number of equations to process: 3988
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [282]
% multiply(inverse(A),multiply(inverse(A),multiply(inverse(B),inverse(B),A),B),B)
% -> inverse(A)
% Current number of equations to process: 4004
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [283]
% multiply(multiply(inverse(A),inverse(multiply(B,C,D)),D),inverse(multiply(C,
% inverse(
% multiply(B,C,A)),B)),C)
% -> multiply(C,multiply(inverse(A),inverse(multiply(B,C,D)),D),inverse(B))
% Current number of equations to process: 4004
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [284]
% multiply(A,multiply(A,inverse(multiply(B,A,D)),D),B) <->
% multiply(multiply(A,inverse(multiply(B,A,C)),C),multiply(B,inverse(multiply(A,
% multiply(B,A,
% inverse(B)),B)),B),A)
% Current number of equations to process: 4002
% Current number of ordered equations: 3
% Current number of rules: 97
% New rule produced :
% [285]
% multiply(B,multiply(B,inverse(multiply(A,B,D)),D),A) <->
% multiply(multiply(A,B,inverse(A)),multiply(A,inverse(multiply(B,multiply(B,
% inverse(
% multiply(A,B,C)),C),A)),A),B)
% Current number of equations to process: 4002
% Current number of ordered equations: 2
% Current number of rules: 98
% Rule [285]
% multiply(B,multiply(B,inverse(multiply(A,B,D)),D),A) <->
% multiply(multiply(A,B,inverse(A)),multiply(A,inverse(multiply(B,
% multiply(B,
% inverse(multiply(A,B,C)),C),A)),A),B) is composed into 
% [285]
% multiply(B,multiply(B,inverse(multiply(A,B,D)),D),A) <->
% multiply(B,multiply(B,inverse(multiply(A,B,a)),a),A)
% New rule produced :
% [286]
% multiply(multiply(A,B,inverse(A)),multiply(A,inverse(multiply(B,multiply(B,
% inverse(
% multiply(A,B,C)),C),A)),A),B)
% <-> multiply(B,multiply(B,inverse(multiply(A,B,D)),D),A)
% Current number of equations to process: 4002
% Current number of ordered equations: 1
% Current number of rules: 99
% Rule [284]
% multiply(A,multiply(A,inverse(multiply(B,A,D)),D),B) <->
% multiply(multiply(A,inverse(multiply(B,A,C)),C),multiply(B,inverse(
% multiply(A,
% multiply(B,A,
% inverse(B)),B)),B),A) is composed into 
% [284]
% multiply(A,multiply(A,inverse(multiply(B,A,D)),D),B) <->
% multiply(A,multiply(A,inverse(multiply(B,A,a)),a),B)
% New rule produced :
% [287]
% multiply(multiply(A,inverse(multiply(B,A,C)),C),multiply(B,inverse(multiply(A,
% multiply(B,A,
% inverse(B)),B)),B),A)
% <-> multiply(A,multiply(A,inverse(multiply(B,A,D)),D),B)
% Current number of equations to process: 4002
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [288]
% multiply(multiply(A,B,inverse(A)),multiply(C,inverse(multiply(B,multiply(B,
% inverse(
% multiply(A,B,D)),D),A)),A),B)
% -> multiply(B,multiply(B,inverse(multiply(A,B,A)),A),C)
% Rule
% [286]
% multiply(multiply(A,B,inverse(A)),multiply(A,inverse(multiply(B,multiply(B,
% inverse(
% multiply(A,B,C)),C),A)),A),B)
% <-> multiply(B,multiply(B,inverse(multiply(A,B,D)),D),A) collapsed.
% Current number of equations to process: 4000
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [289]
% multiply(multiply(A,inverse(multiply(B,A,C)),C),multiply(D,inverse(multiply(A,
% multiply(B,A,
% inverse(B)),B)),B),A)
% -> multiply(A,multiply(A,inverse(multiply(B,A,C)),C),D)
% Rule
% [287]
% multiply(multiply(A,inverse(multiply(B,A,C)),C),multiply(B,inverse(multiply(A,
% multiply(B,A,
% inverse(B)),B)),B),A)
% <-> multiply(A,multiply(A,inverse(multiply(B,A,D)),D),B) collapsed.
% Current number of equations to process: 4000
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [290]
% multiply(multiply(A,inverse(multiply(inverse(B),C,D)),D),inverse(multiply(C,
% multiply(A,
% inverse(C),B),
% inverse(B))),C)
% ->
% multiply(C,multiply(A,inverse(multiply(inverse(B),C,D)),D),inverse(inverse(B)))
% Current number of equations to process: 3997
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [291]
% multiply(inverse(multiply(A,B,C)),multiply(inverse(A),inverse(B),multiply(A,B,C)),B)
% <->
% multiply(inverse(multiply(A,B,C)),inverse(multiply(B,multiply(inverse(C),
% inverse(multiply(A,B,D)),D),A)),B)
% Current number of equations to process: 3996
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [292]
% multiply(inverse(multiply(A,B,C)),inverse(multiply(B,multiply(inverse(C),
% inverse(multiply(A,B,D)),D),A)),B)
% <->
% multiply(inverse(multiply(A,B,C)),multiply(inverse(A),inverse(B),multiply(A,B,C)),B)
% Current number of equations to process: 3996
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [293]
% multiply(multiply(inverse(A),inverse(multiply(B,C,D)),D),multiply(E,inverse(
% multiply(C,
% inverse(
% multiply(B,C,A)),B)),B),C)
% -> multiply(C,multiply(inverse(A),inverse(multiply(B,C,D)),D),E)
% Current number of equations to process: 3995
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [294]
% multiply(inverse(multiply(A,B,C)),multiply(inverse(D),inverse(multiply(B,
% multiply(
% inverse(C),
% inverse(
% multiply(A,B,E)),E),A)),A),B)
% <->
% multiply(inverse(multiply(A,B,C)),inverse(multiply(B,inverse(multiply(A,B,C)),D)),B)
% Current number of equations to process: 3990
% Current number of ordered equations: 1
% Current number of rules: 105
% New rule produced :
% [295]
% multiply(inverse(multiply(A,B,C)),inverse(multiply(B,inverse(multiply(A,B,C)),D)),B)
% <->
% multiply(inverse(multiply(A,B,C)),multiply(inverse(D),inverse(multiply(B,
% multiply(
% inverse(C),
% inverse(
% multiply(A,B,E)),E),A)),A),B)
% Current number of equations to process: 3990
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [296]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,B,a)),a),D)),
% multiply(B,multiply(C,inverse(multiply(D,B,E)),E),D)) -> A
% Current number of equations to process: 3991
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [297]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),D)),
% multiply(B,multiply(C,inverse(multiply(D,B,F)),F),D)) -> A
% Rule
% [296]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,B,a)),a),D)),
% multiply(B,multiply(C,inverse(multiply(D,B,E)),E),D)) -> A collapsed.
% Current number of equations to process: 4005
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [298]
% multiply(inverse(multiply(B,C,D)),multiply(multiply(C,multiply(D,inverse(
% multiply(B,C,E)),E),B),
% inverse(A),multiply(B,C,D)),A) -> A
% Current number of equations to process: 4004
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [299]
% multiply(A,inverse(multiply(B,C,C)),multiply(C,multiply(B,C,inverse(B)),B))
% -> A
% Current number of equations to process: 4014
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [300]
% multiply(A,inverse(multiply(B,inverse(multiply(C,B,D)),C)),multiply(B,
% multiply(inverse(D),
% inverse(multiply(C,B,E)),E),C))
% -> A
% Current number of equations to process: 4013
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [301]
% multiply(inverse(multiply(A,B,C)),multiply(inverse(multiply(B,multiply(C,
% inverse(
% multiply(A,B,D)),D),A)),
% inverse(E),multiply(A,B,C)),E) ->
% inverse(multiply(A,B,C))
% Current number of equations to process: 4012
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced : [302] multiply(A,A,inverse(A)) -> A
% Rule [238] multiply(A,inverse(a),multiply(a,a,inverse(a))) -> A collapsed.
% Current number of equations to process: 4013
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [303]
% multiply(A,inverse(multiply(B,inverse(C),D)),multiply(inverse(C),multiply(D,
% inverse(B),C),B))
% -> A
% Current number of equations to process: 4012
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [304]
% multiply(inverse(A),multiply(B,inverse(inverse(A)),C),inverse(C)) <->
% multiply(inverse(A),multiply(B,inverse(inverse(C)),A),inverse(C))
% Current number of equations to process: 4012
% Current number of ordered equations: 1
% Current number of rules: 113
% New rule produced :
% [305]
% multiply(inverse(A),multiply(B,inverse(inverse(C)),A),inverse(C)) <->
% multiply(inverse(A),multiply(B,inverse(inverse(A)),C),inverse(C))
% Current number of equations to process: 4012
% Current number of ordered equations: 0
% Current number of rules: 114
% Rule [290]
% multiply(multiply(A,inverse(multiply(inverse(B),C,D)),D),inverse(
% multiply(C,
% multiply(A,
% inverse(C),B),
% inverse(B))),C)
% ->
% multiply(C,multiply(A,inverse(multiply(inverse(B),C,D)),D),inverse(
% inverse(B))) is composed into 
% [290]
% multiply(multiply(A,inverse(multiply(inverse(B),C,D)),D),inverse(multiply(C,
% multiply(A,
% inverse(C),B),
% inverse(B))),C)
% -> multiply(C,multiply(A,inverse(multiply(inverse(B),C,D)),D),B)
% New rule produced : [306] inverse(inverse(A)) -> A
% Rule
% [208]
% multiply(inverse(A),multiply(B,inverse(inverse(A)),B),inverse(B)) ->
% inverse(A) collapsed.
% Rule
% [212]
% multiply(inverse(A),multiply(B,inverse(inverse(A)),B),inverse(B)) ->
% inverse(A) collapsed.
% Rule [224] multiply(A,inverse(inverse(inverse(B))),B) -> A collapsed.
% Rule
% [252]
% multiply(multiply(B,inverse(inverse(A)),B),multiply(C,inverse(multiply(B,
% inverse(
% inverse(A)),B)),A),
% inverse(A)) -> multiply(inverse(A),multiply(B,inverse(inverse(A)),B),C)
% collapsed.
% Rule
% [276]
% multiply(B,multiply(A,inverse(B),A),inverse(inverse(A))) ->
% multiply(A,inverse(B),A) collapsed.
% Rule
% [304]
% multiply(inverse(A),multiply(B,inverse(inverse(A)),C),inverse(C)) <->
% multiply(inverse(A),multiply(B,inverse(inverse(C)),A),inverse(C)) collapsed.
% Rule
% [305]
% multiply(inverse(A),multiply(B,inverse(inverse(C)),A),inverse(C)) <->
% multiply(inverse(A),multiply(B,inverse(inverse(A)),C),inverse(C)) collapsed.
% Current number of equations to process: 4025
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [307] multiply(inverse(A),multiply(B,A,B),inverse(B)) -> inverse(A)
% Current number of equations to process: 4024
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [308] multiply(B,multiply(A,inverse(B),A),A) -> multiply(A,inverse(B),A)
% Current number of equations to process: 4023
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [309]
% multiply(inverse(A),multiply(B,A,C),inverse(C)) <->
% multiply(inverse(A),multiply(B,C,A),inverse(C))
% Current number of equations to process: 4022
% Current number of ordered equations: 1
% Current number of rules: 111
% New rule produced :
% [310]
% multiply(inverse(A),multiply(B,C,A),inverse(C)) <->
% multiply(inverse(A),multiply(B,A,C),inverse(C))
% Current number of equations to process: 4022
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [311]
% multiply(inverse(A),multiply(inverse(B),inverse(C),A),C) <->
% multiply(inverse(A),inverse(multiply(C,inverse(A),B)),C)
% Rule
% [282]
% multiply(inverse(A),multiply(inverse(A),multiply(inverse(B),inverse(B),A),B),B)
% -> inverse(A) collapsed.
% Current number of equations to process: 4021
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [312]
% multiply(inverse(A),inverse(multiply(C,inverse(A),B)),C) <->
% multiply(inverse(A),multiply(inverse(B),inverse(C),A),C)
% Current number of equations to process: 4021
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [313]
% multiply(multiply(B,A,B),multiply(C,inverse(multiply(B,A,B)),A),inverse(A))
% -> multiply(inverse(A),multiply(B,A,B),C)
% Current number of equations to process: 4019
% Current number of ordered equations: 0
% Current number of rules: 114
% Rule [271]
% multiply(B,multiply(inverse(C),inverse(multiply(A,B,E)),E),A) <->
% multiply(B,multiply(inverse(C),inverse(multiply(A,B,a)),a),A) is composed into 
% [271]
% multiply(B,multiply(inverse(C),inverse(multiply(A,B,E)),E),A) <->
% multiply(B,multiply(a,inverse(C),multiply(a,inverse(C),inverse(multiply(A,B,a)))),A)
% New rule produced : [314] multiply(A,B,C) <-> multiply(C,A,multiply(C,A,B))
% Rule
% [34]
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(E,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,F)),F),B)),B),C)
% -> multiply(C,multiply(A,inverse(multiply(B,C,D)),D),E) collapsed.
% Rule
% [41]
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,E)),E),B)),B),C)
% <-> multiply(C,multiply(A,inverse(multiply(B,C,F)),F),B) collapsed.
% Rule
% [45]
% multiply(multiply(A,inverse(multiply(B,C,F)),F),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,G)),G),B)),B),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(B,inverse(multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,E)),E),B)),B),C)
% collapsed.
% Rule [172] multiply(inverse(B),A,B) -> A collapsed.
% Rule
% [236]
% multiply(multiply(A,inverse(B),A),multiply(C,inverse(B),inverse(A)),B) ->
% multiply(B,multiply(A,inverse(B),A),C) collapsed.
% Rule
% [239]
% multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(B),C),D),E,B)),
% multiply(multiply(C,inverse(B),C),multiply(inverse(C),E,D),B)) -> A
% collapsed.
% Rule
% [240]
% multiply(A,inverse(multiply(B,C,multiply(B,multiply(D,inverse(B),D),E))),
% multiply(multiply(D,inverse(B),D),multiply(E,C,inverse(D)),B)) -> A
% collapsed.
% Rule
% [244]
% multiply(A,inverse(multiply(multiply(inverse(B),C,D),E,C)),multiply(C,
% multiply(B,E,D),
% inverse(B))) -> A
% collapsed.
% Rule
% [247]
% multiply(multiply(A,inverse(B),inverse(C)),multiply(B,inverse(multiply(B,
% multiply(C,
% inverse(B),C),A)),B),
% multiply(C,inverse(B),C)) -> multiply(B,multiply(C,inverse(B),C),A)
% collapsed.
% Rule
% [256]
% multiply(A,inverse(multiply(B,multiply(multiply(C,D,E),inverse(multiply(
% multiply(C,D,F),B,a)),a),
% multiply(C,D,F))),multiply(D,multiply(E,B,F),C)) -> A
% collapsed.
% Rule
% [261]
% multiply(multiply(A,inverse(multiply(inverse(B),C,D)),D),multiply(E,inverse(
% multiply(C,
% multiply(A,
% inverse(C),B),
% inverse(B))),
% inverse(B)),C) ->
% multiply(C,multiply(A,inverse(multiply(inverse(B),C,D)),D),E) collapsed.
% Rule
% [263]
% multiply(A,inverse(multiply(multiply(B,inverse(D),E),F,B)),multiply(inverse(D),
% multiply(D,F,E),B))
% -> A collapsed.
% Rule
% [264]
% multiply(inverse(multiply(A,B,C)),multiply(D,inverse(B),multiply(A,B,C)),B)
% <->
% multiply(inverse(multiply(A,B,C)),multiply(D,inverse(multiply(B,multiply(
% inverse(C),
% inverse(
% multiply(A,B,F)),F),A)),A),B)
% collapsed.
% Rule
% [265]
% multiply(inverse(multiply(A,B,C)),multiply(D,inverse(multiply(B,multiply(
% inverse(C),
% inverse(
% multiply(A,B,F)),F),A)),A),B)
% <->
% multiply(inverse(multiply(A,B,C)),multiply(D,inverse(B),multiply(A,B,C)),B)
% collapsed.
% Rule
% [267]
% multiply(multiply(C,inverse(multiply(A,multiply(B,inverse(A),B),D)),D),
% multiply(A,inverse(multiply(A,multiply(B,inverse(A),B),C)),A),multiply(B,
% inverse(A),B))
% -> multiply(A,multiply(B,inverse(A),B),C) collapsed.
% Rule
% [272]
% multiply(inverse(multiply(A,B,C)),multiply(A,inverse(B),multiply(A,B,C)),B)
% <-> multiply(B,multiply(inverse(C),inverse(multiply(A,B,E)),E),A) collapsed.
% Rule
% [273]
% multiply(multiply(A,inverse(multiply(B,C,D)),D),inverse(multiply(C,multiply(A,
% inverse(
% multiply(B,C,D)),D),E)),C)
% -> multiply(C,multiply(A,inverse(multiply(B,C,D)),D),inverse(E)) collapsed.
% Rule
% [274]
% multiply(multiply(A,inverse(multiply(B,C,D)),D),inverse(multiply(C,multiply(A,
% inverse(
% multiply(B,C,E)),E),B)),C)
% -> multiply(C,multiply(A,inverse(multiply(B,C,D)),D),inverse(B)) collapsed.
% Rule
% [275]
% multiply(multiply(B,inverse(A),B),inverse(multiply(A,multiply(B,inverse(A),B),C)),A)
% -> multiply(A,multiply(B,inverse(A),B),inverse(C)) collapsed.
% Rule
% [277]
% multiply(multiply(A,A,B),multiply(A,A,inverse(B)),inverse(A)) ->
% multiply(A,A,B) collapsed.
% Rule
% [283]
% multiply(multiply(inverse(A),inverse(multiply(B,C,D)),D),inverse(multiply(C,
% inverse(
% multiply(B,C,A)),B)),C)
% -> multiply(C,multiply(inverse(A),inverse(multiply(B,C,D)),D),inverse(B))
% collapsed.
% Rule
% [288]
% multiply(multiply(A,B,inverse(A)),multiply(C,inverse(multiply(B,multiply(B,
% inverse(
% multiply(A,B,D)),D),A)),A),B)
% -> multiply(B,multiply(B,inverse(multiply(A,B,A)),A),C) collapsed.
% Rule
% [289]
% multiply(multiply(A,inverse(multiply(B,A,C)),C),multiply(D,inverse(multiply(A,
% multiply(B,A,
% inverse(B)),B)),B),A)
% -> multiply(A,multiply(A,inverse(multiply(B,A,C)),C),D) collapsed.
% Rule
% [290]
% multiply(multiply(A,inverse(multiply(inverse(B),C,D)),D),inverse(multiply(C,
% multiply(A,
% inverse(C),B),
% inverse(B))),C)
% -> multiply(C,multiply(A,inverse(multiply(inverse(B),C,D)),D),B) collapsed.
% Rule
% [291]
% multiply(inverse(multiply(A,B,C)),multiply(inverse(A),inverse(B),multiply(A,B,C)),B)
% <->
% multiply(inverse(multiply(A,B,C)),inverse(multiply(B,multiply(inverse(C),
% inverse(multiply(A,B,D)),D),A)),B)
% collapsed.
% Rule
% [292]
% multiply(inverse(multiply(A,B,C)),inverse(multiply(B,multiply(inverse(C),
% inverse(multiply(A,B,D)),D),A)),B)
% <->
% multiply(inverse(multiply(A,B,C)),multiply(inverse(A),inverse(B),multiply(A,B,C)),B)
% collapsed.
% Rule
% [293]
% multiply(multiply(inverse(A),inverse(multiply(B,C,D)),D),multiply(E,inverse(
% multiply(C,
% inverse(
% multiply(B,C,A)),B)),B),C)
% -> multiply(C,multiply(inverse(A),inverse(multiply(B,C,D)),D),E) collapsed.
% Rule
% [294]
% multiply(inverse(multiply(A,B,C)),multiply(inverse(D),inverse(multiply(B,
% multiply(
% inverse(C),
% inverse(
% multiply(A,B,E)),E),A)),A),B)
% <->
% multiply(inverse(multiply(A,B,C)),inverse(multiply(B,inverse(multiply(A,B,C)),D)),B)
% collapsed.
% Rule
% [295]
% multiply(inverse(multiply(A,B,C)),inverse(multiply(B,inverse(multiply(A,B,C)),D)),B)
% <->
% multiply(inverse(multiply(A,B,C)),multiply(inverse(D),inverse(multiply(B,
% multiply(
% inverse(C),
% inverse(
% multiply(A,B,E)),E),A)),A),B)
% collapsed.
% Rule
% [313]
% multiply(multiply(B,A,B),multiply(C,inverse(multiply(B,A,B)),A),inverse(A))
% -> multiply(inverse(A),multiply(B,A,B),C) collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% multiply(a,a,multiply(a,a,inverse(b))) = a
% 
% Current number of equations to process: 4045
% Current number of ordered equations: 1
% Current number of rules: 85
% New rule produced : [315] multiply(C,A,multiply(C,A,B)) <-> multiply(A,B,C)
% Current number of equations to process: 4045
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [316]
% multiply(inverse(A),multiply(A,A,B),multiply(inverse(A),multiply(A,A,B),
% multiply(A,A,inverse(B)))) ->
% multiply(A,A,B)
% Current number of equations to process: 4044
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [317]
% multiply(inverse(C),multiply(A,inverse(B),C),multiply(inverse(C),multiply(A,
% inverse(B),C),
% multiply(D,inverse(multiply(A,
% inverse(B),C)),C)))
% -> multiply(inverse(C),multiply(A,inverse(B),C),D)
% Current number of equations to process: 4045
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [318]
% multiply(A,multiply(a,multiply(C,A,B),multiply(a,multiply(C,A,B),inverse(
% multiply(C,A,a)))),C)
% -> multiply(A,B,C)
% Current number of equations to process: 4042
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [319]
% multiply(A,multiply(C,multiply(inverse(C),A,B),multiply(C,multiply(inverse(C),A,B),
% inverse(A))),inverse(C)) ->
% multiply(A,B,inverse(C))
% Current number of equations to process: 4041
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [320]
% multiply(B,multiply(A,inverse(B),A),multiply(B,multiply(A,inverse(B),A),
% multiply(C,inverse(B),inverse(A)))) ->
% multiply(B,multiply(A,inverse(B),A),C)
% Current number of equations to process: 4040
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [321]
% multiply(multiply(A,B,C),D,multiply(A,B,E)) <-> multiply(B,multiply(E,D,C),A)
% Rule
% [248]
% inverse(multiply(multiply(E,A,D),C,multiply(E,A,B))) <->
% inverse(multiply(A,multiply(B,C,D),E)) collapsed.
% Current number of equations to process: 4041
% Current number of ordered equations: 1
% Current number of rules: 91
% New rule produced :
% [322]
% multiply(B,multiply(E,D,C),A) <-> multiply(multiply(A,B,C),D,multiply(A,B,E))
% Rule
% [249]
% inverse(multiply(A,multiply(B,C,D),E)) <->
% inverse(multiply(multiply(E,A,D),C,multiply(E,A,B))) collapsed.
% Current number of equations to process: 4041
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [323]
% multiply(A,inverse(multiply(multiply(B,C,D),inverse(E),multiply(B,C,E))),
% multiply(C,D,B)) -> A
% Current number of equations to process: 4040
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [324]
% multiply(A,multiply(multiply(B,C,D),inverse(multiply(multiply(B,C,E),A,F)),F),
% multiply(B,C,E)) -> multiply(C,multiply(D,A,E),B)
% Current number of equations to process: 4040
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [325]
% multiply(inverse(A),multiply(B,A,inverse(B)),multiply(B,A,inverse(B))) ->
% multiply(B,A,inverse(B))
% Current number of equations to process: 4040
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [326]
% multiply(A,inverse(multiply(B,C,inverse(B))),multiply(C,inverse(multiply(
% inverse(B),B,D)),D))
% -> A
% Current number of equations to process: 4043
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [327]
% multiply(inverse(multiply(A,B,inverse(A))),multiply(C,inverse(D),multiply(A,B,
% inverse(A))),D)
% -> multiply(inverse(multiply(A,B,inverse(A))),multiply(C,inverse(D),B),D)
% Current number of equations to process: 4042
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [328]
% multiply(inverse(multiply(A,B,inverse(A))),multiply(C,multiply(A,B,inverse(A)),D),
% inverse(D)) <->
% multiply(inverse(multiply(A,B,inverse(A))),multiply(C,D,B),inverse(D))
% Current number of equations to process: 4041
% Current number of ordered equations: 1
% Current number of rules: 97
% New rule produced :
% [329]
% multiply(inverse(multiply(A,B,inverse(A))),multiply(C,D,B),inverse(D)) <->
% multiply(inverse(multiply(A,B,inverse(A))),multiply(C,multiply(A,B,inverse(A)),D),
% inverse(D))
% Current number of equations to process: 4041
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [330]
% multiply(inverse(A),multiply(B,A,B),multiply(inverse(A),multiply(B,A,B),
% multiply(C,inverse(multiply(B,A,B)),A)))
% -> multiply(inverse(A),multiply(B,A,B),C)
% Current number of equations to process: 4040
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [331]
% multiply(A,inverse(multiply(C,multiply(inverse(B),C,D),multiply(C,multiply(
% inverse(B),C,D),E))),
% multiply(C,multiply(B,E,D),inverse(B))) -> A
% Current number of equations to process: 4039
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [332]
% multiply(A,inverse(multiply(B,multiply(B,inverse(D),E),multiply(B,multiply(B,
% inverse(D),E),F))),
% multiply(inverse(D),multiply(D,F,E),B)) -> A
% Current number of equations to process: 4038
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [333]
% multiply(A,inverse(multiply(multiply(B,C,D),inverse(multiply(E,D,inverse(E))),
% multiply(B,C,F))),multiply(C,F,B)) -> A
% Current number of equations to process: 4040
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [334]
% multiply(A,inverse(multiply(B,C,D)),multiply(C,multiply(E,inverse(multiply(F,
% multiply(B,C,E),
% inverse(F))),D),B))
% -> A
% Current number of equations to process: 4040
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [335]
% multiply(inverse(multiply(B,C,inverse(B))),multiply(C,inverse(A),C),A) -> A
% Current number of equations to process: 4042
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [336]
% multiply(A,inverse(multiply(B,inverse(C),inverse(B))),inverse(multiply(
% inverse(B),B,C)))
% -> A
% Current number of equations to process: 4043
% Current number of ordered equations: 0
% Current number of rules: 105
% Rule [281]
% multiply(A,multiply(A,inverse(multiply(B,A,C)),C),B) <->
% multiply(A,multiply(B,A,inverse(B)),B) is composed into [281]
% multiply(A,
% multiply(A,
% inverse(
% multiply(B,A,C)),C),B)
% ->
% multiply(A,A,B)
% New rule produced : [337] multiply(B,A,inverse(B)) -> A
% Rule [226] multiply(A,inverse(multiply(C,D,inverse(C))),D) -> A collapsed.
% Rule
% [270]
% multiply(A,inverse(multiply(D,inverse(multiply(a,a,a)),multiply(a,multiply(a,a,a),
% inverse(a)))),D) -> A
% collapsed.
% Rule
% [280]
% multiply(A,multiply(B,A,inverse(B)),B) <->
% multiply(A,multiply(A,inverse(multiply(B,A,C)),C),B) collapsed.
% Rule
% [299]
% multiply(A,inverse(multiply(B,C,C)),multiply(C,multiply(B,C,inverse(B)),B))
% -> A collapsed.
% Rule [302] multiply(A,A,inverse(A)) -> A collapsed.
% Rule
% [325]
% multiply(inverse(A),multiply(B,A,inverse(B)),multiply(B,A,inverse(B))) ->
% multiply(B,A,inverse(B)) collapsed.
% Rule
% [326]
% multiply(A,inverse(multiply(B,C,inverse(B))),multiply(C,inverse(multiply(
% inverse(B),B,D)),D))
% -> A collapsed.
% Rule
% [327]
% multiply(inverse(multiply(A,B,inverse(A))),multiply(C,inverse(D),multiply(A,B,
% inverse(A))),D)
% -> multiply(inverse(multiply(A,B,inverse(A))),multiply(C,inverse(D),B),D)
% collapsed.
% Rule
% [328]
% multiply(inverse(multiply(A,B,inverse(A))),multiply(C,multiply(A,B,inverse(A)),D),
% inverse(D)) <->
% multiply(inverse(multiply(A,B,inverse(A))),multiply(C,D,B),inverse(D))
% collapsed.
% Rule
% [329]
% multiply(inverse(multiply(A,B,inverse(A))),multiply(C,D,B),inverse(D)) <->
% multiply(inverse(multiply(A,B,inverse(A))),multiply(C,multiply(A,B,inverse(A)),D),
% inverse(D)) collapsed.
% Rule
% [333]
% multiply(A,inverse(multiply(multiply(B,C,D),inverse(multiply(E,D,inverse(E))),
% multiply(B,C,F))),multiply(C,F,B)) -> A collapsed.
% Rule
% [334]
% multiply(A,inverse(multiply(B,C,D)),multiply(C,multiply(E,inverse(multiply(F,
% multiply(B,C,E),
% inverse(F))),D),B))
% -> A collapsed.
% Rule
% [335]
% multiply(inverse(multiply(B,C,inverse(B))),multiply(C,inverse(A),C),A) -> A
% collapsed.
% Rule
% [336]
% multiply(A,inverse(multiply(B,inverse(C),inverse(B))),inverse(multiply(
% inverse(B),B,C)))
% -> A collapsed.
% Current number of equations to process: 4046
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [338] multiply(A,C,inverse(multiply(inverse(B),B,C))) -> A
% Current number of equations to process: 4045
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [339]
% multiply(A,inverse(C),multiply(C,inverse(multiply(inverse(B),B,D)),D)) -> A
% Current number of equations to process: 4044
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [340] multiply(A,multiply(inverse(A),A,B),inverse(B)) -> A
% Current number of equations to process: 4044
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [341]
% multiply(A,multiply(B,inverse(multiply(D,A,a)),a),D) <->
% multiply(A,multiply(B,inverse(multiply(A,multiply(C,inverse(multiply(D,A,E)),E),D)),C),D)
% Current number of equations to process: 4044
% Current number of ordered equations: 3
% Current number of rules: 96
% New rule produced :
% [342]
% multiply(A,multiply(B,inverse(multiply(A,multiply(C,inverse(multiply(D,A,E)),E),D)),C),D)
% <-> multiply(A,multiply(B,inverse(multiply(D,A,a)),a),D)
% Current number of equations to process: 4044
% Current number of ordered equations: 2
% Current number of rules: 97
% New rule produced :
% [343]
% multiply(A,multiply(inverse(multiply(B,A,C)),multiply(C,inverse(D),multiply(B,A,C)),D),B)
% <-> multiply(A,multiply(D,inverse(multiply(B,A,a)),a),B)
% Current number of equations to process: 4044
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [344]
% multiply(A,multiply(D,inverse(multiply(B,A,a)),a),B) <->
% multiply(A,multiply(inverse(multiply(B,A,C)),multiply(C,inverse(D),multiply(B,A,C)),D),B)
% Current number of equations to process: 4044
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [345]
% multiply(A,multiply(B,inverse(multiply(A,multiply(C,inverse(A),D),inverse(D))),C),
% inverse(D)) -> multiply(A,multiply(B,inverse(A),D),inverse(D))
% Current number of equations to process: 4045
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [346]
% multiply(A,multiply(inverse(multiply(inverse(B),A,C)),multiply(C,inverse(D),
% multiply(inverse(B),A,C)),D),
% inverse(B)) <-> multiply(A,multiply(D,inverse(A),B),inverse(B))
% Current number of equations to process: 4042
% Current number of ordered equations: 1
% Current number of rules: 101
% New rule produced :
% [347]
% multiply(A,multiply(D,inverse(A),B),inverse(B)) <->
% multiply(A,multiply(inverse(multiply(inverse(B),A,C)),multiply(C,inverse(D),
% multiply(inverse(B),A,C)),D),
% inverse(B))
% Current number of equations to process: 4042
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [348]
% multiply(A,multiply(B,inverse(A),B),multiply(A,multiply(B,inverse(A),B),
% inverse(multiply(A,multiply(B,inverse(A),B),C))))
% -> multiply(A,multiply(B,inverse(A),B),inverse(C))
% Current number of equations to process: 4041
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [349]
% multiply(B,inverse(multiply(A,B,C)),multiply(B,inverse(multiply(A,B,C)),
% multiply(A,inverse(B),multiply(A,B,C))))
% <-> multiply(B,multiply(inverse(C),inverse(multiply(A,B,E)),E),A)
% Current number of equations to process: 4039
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [350]
% multiply(B,multiply(inverse(C),inverse(multiply(A,B,E)),E),A) <->
% multiply(B,inverse(multiply(A,B,C)),multiply(B,inverse(multiply(A,B,C)),
% multiply(A,inverse(B),multiply(A,B,C))))
% Current number of equations to process: 4039
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [351]
% multiply(A,multiply(B,inverse(multiply(A,multiply(C,inverse(multiply(D,A,E)),E),D)),C),D)
% <-> multiply(A,multiply(B,inverse(multiply(D,A,F)),F),D)
% Rule
% [342]
% multiply(A,multiply(B,inverse(multiply(A,multiply(C,inverse(multiply(D,A,E)),E),D)),C),D)
% <-> multiply(A,multiply(B,inverse(multiply(D,A,a)),a),D) collapsed.
% Current number of equations to process: 4049
% Current number of ordered equations: 3
% Current number of rules: 105
% New rule produced :
% [352]
% multiply(A,multiply(inverse(multiply(B,A,C)),multiply(C,inverse(D),multiply(B,A,C)),D),B)
% <-> multiply(A,multiply(D,inverse(multiply(B,A,E)),E),B)
% Rule
% [343]
% multiply(A,multiply(inverse(multiply(B,A,C)),multiply(C,inverse(D),multiply(B,A,C)),D),B)
% <-> multiply(A,multiply(D,inverse(multiply(B,A,a)),a),B) collapsed.
% Current number of equations to process: 4049
% Current number of ordered equations: 2
% Current number of rules: 105
% New rule produced :
% [353]
% multiply(A,multiply(B,inverse(multiply(D,A,F)),F),D) <->
% multiply(A,multiply(B,inverse(multiply(A,multiply(C,inverse(multiply(D,A,E)),E),D)),C),D)
% Rule
% [341]
% multiply(A,multiply(B,inverse(multiply(D,A,a)),a),D) <->
% multiply(A,multiply(B,inverse(multiply(A,multiply(C,inverse(multiply(D,A,E)),E),D)),C),D)
% collapsed.
% Current number of equations to process: 4049
% Current number of ordered equations: 1
% Current number of rules: 105
% New rule produced :
% [354]
% multiply(A,multiply(D,inverse(multiply(B,A,E)),E),B) <->
% multiply(A,multiply(inverse(multiply(B,A,C)),multiply(C,inverse(D),multiply(B,A,C)),D),B)
% Rule
% [344]
% multiply(A,multiply(D,inverse(multiply(B,A,a)),a),B) <->
% multiply(A,multiply(inverse(multiply(B,A,C)),multiply(C,inverse(D),multiply(B,A,C)),D),B)
% collapsed.
% Current number of equations to process: 4049
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [355]
% multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),D),F,
% multiply(D,B,G))),multiply(B,multiply(G,F,C),D)) -> A
% Current number of equations to process: 4046
% Current number of ordered equations: 2
% Current number of rules: 106
% New rule produced :
% [356]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(C,multiply(F,inverse(
% multiply(B,C,G)),G),B))),
% multiply(C,multiply(F,E,D),B)) -> A
% Current number of equations to process: 4046
% Current number of ordered equations: 1
% Current number of rules: 107
% New rule produced :
% [357]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,
% multiply(E,
% multiply(D,
% inverse(
% multiply(F,E,G)),G),F),B))
% -> A
% Current number of equations to process: 4046
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [358]
% multiply(A,multiply(inverse(B),inverse(multiply(C,A,E)),E),C) <->
% multiply(A,inverse(multiply(A,multiply(B,inverse(multiply(C,A,D)),D),C)),C)
% Current number of equations to process: 4049
% Current number of ordered equations: 1
% Current number of rules: 109
% New rule produced :
% [359]
% multiply(A,inverse(multiply(A,multiply(B,inverse(multiply(C,A,D)),D),C)),C)
% <-> multiply(A,multiply(inverse(B),inverse(multiply(C,A,E)),E),C)
% Current number of equations to process: 4049
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [360]
% multiply(A,multiply(inverse(multiply(B,A,C)),multiply(C,D,multiply(B,A,C)),
% inverse(D)),B) -> multiply(A,inverse(multiply(B,A,D)),B)
% Current number of equations to process: 4048
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [361]
% multiply(A,inverse(multiply(D,A,B)),D) <->
% multiply(A,multiply(inverse(B),inverse(multiply(A,multiply(C,inverse(
% multiply(D,A,E)),E),D)),C),D)
% Current number of equations to process: 4049
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [362]
% multiply(A,multiply(inverse(B),inverse(multiply(A,multiply(C,inverse(
% multiply(D,A,E)),E),D)),C),D)
% <-> multiply(A,inverse(multiply(D,A,B)),D)
% Current number of equations to process: 4049
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [363]
% multiply(A,multiply(B,inverse(A),C),inverse(C)) <-> multiply(inverse(C),A,B)
% Current number of equations to process: 4051
% Current number of ordered equations: 1
% Current number of rules: 114
% New rule produced :
% [364]
% multiply(inverse(C),A,B) <-> multiply(A,multiply(B,inverse(A),C),inverse(C))
% Current number of equations to process: 4051
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [365]
% multiply(A,inverse(multiply(B,C,D)),multiply(C,multiply(inverse(multiply(B,C,E)),
% multiply(E,inverse(D),
% multiply(B,C,E)),D),B)) -> A
% Current number of equations to process: 4050
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [366]
% multiply(A,inverse(multiply(multiply(B,C,D),multiply(E,inverse(multiply(D,F,G)),G),
% multiply(B,C,F))),multiply(C,multiply(D,F,E),B)) -> A
% Current number of equations to process: 4073
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [367] multiply(A,inverse(multiply(B,A,C)),B) <-> multiply(B,A,inverse(C))
% Current number of equations to process: 4076
% Current number of ordered equations: 1
% Current number of rules: 118
% New rule produced :
% [368] multiply(B,A,inverse(C)) <-> multiply(A,inverse(multiply(B,A,C)),B)
% Current number of equations to process: 4076
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced : [369] multiply(B,A,A) <-> multiply(A,A,B)
% Current number of equations to process: 4078
% Current number of ordered equations: 1
% Current number of rules: 120
% New rule produced : [370] multiply(A,A,B) <-> multiply(B,A,A)
% Current number of equations to process: 4078
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [371]
% multiply(inverse(A),multiply(B,inverse(C),A),C) <-> multiply(C,inverse(A),B)
% Current number of equations to process: 4080
% Current number of ordered equations: 1
% Current number of rules: 122
% New rule produced :
% [372]
% multiply(C,inverse(A),B) <-> multiply(inverse(A),multiply(B,inverse(C),A),C)
% Current number of equations to process: 4080
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [373]
% multiply(multiply(A,B,C),multiply(C,B,A),inverse(multiply(C,B,A))) ->
% multiply(A,B,C)
% Current number of equations to process: 4082
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [374]
% multiply(A,multiply(B,inverse(multiply(A,multiply(C,inverse(multiply(D,A,E)),E),D)),C),D)
% <-> multiply(D,A,B)
% Current number of equations to process: 4080
% Current number of ordered equations: 2
% Current number of rules: 125
% Rule [354]
% multiply(A,multiply(D,inverse(multiply(B,A,E)),E),B) <->
% multiply(A,multiply(inverse(multiply(B,A,C)),multiply(C,inverse(D),
% multiply(B,A,C)),D),B) is composed into 
% [354]
% multiply(A,multiply(D,inverse(multiply(B,A,E)),E),B) <-> multiply(B,A,D)
% Rule [347]
% multiply(A,multiply(D,inverse(A),B),inverse(B)) <->
% multiply(A,multiply(inverse(multiply(inverse(B),A,C)),multiply(C,
% inverse(D),
% multiply(inverse(B),A,C)),D),
% inverse(B)) is composed into [347]
% multiply(A,multiply(D,inverse(A),B),
% inverse(B)) <-> multiply(inverse(B),A,D)
% New rule produced :
% [375]
% multiply(A,multiply(inverse(multiply(B,A,C)),multiply(C,inverse(D),multiply(B,A,C)),D),B)
% -> multiply(B,A,D)
% Rule
% [346]
% multiply(A,multiply(inverse(multiply(inverse(B),A,C)),multiply(C,inverse(D),
% multiply(inverse(B),A,C)),D),
% inverse(B)) <-> multiply(A,multiply(D,inverse(A),B),inverse(B)) collapsed.
% Rule
% [352]
% multiply(A,multiply(inverse(multiply(B,A,C)),multiply(C,inverse(D),multiply(B,A,C)),D),B)
% <-> multiply(A,multiply(D,inverse(multiply(B,A,E)),E),B) collapsed.
% Rule
% [365]
% multiply(A,inverse(multiply(B,C,D)),multiply(C,multiply(inverse(multiply(B,C,E)),
% multiply(E,inverse(D),
% multiply(B,C,E)),D),B)) -> A
% collapsed.
% Current number of equations to process: 4080
% Current number of ordered equations: 1
% Current number of rules: 123
% New rule produced :
% [376]
% multiply(D,A,B) <->
% multiply(A,multiply(B,inverse(multiply(A,multiply(C,inverse(multiply(D,A,E)),E),D)),C),D)
% Current number of equations to process: 4080
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [377]
% multiply(inverse(multiply(A,B,C)),multiply(D,inverse(E),multiply(A,B,C)),E)
% <->
% multiply(inverse(multiply(A,B,C)),multiply(D,inverse(E),multiply(C,B,A)),E)
% Current number of equations to process: 4082
% Current number of ordered equations: 1
% Current number of rules: 125
% New rule produced :
% [378]
% multiply(inverse(multiply(A,B,C)),multiply(D,inverse(E),multiply(C,B,A)),E)
% <->
% multiply(inverse(multiply(A,B,C)),multiply(D,inverse(E),multiply(A,B,C)),E)
% Current number of equations to process: 4082
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [379]
% multiply(inverse(multiply(A,B,C)),multiply(D,E,multiply(C,B,A)),inverse(E))
% <->
% multiply(inverse(multiply(A,B,C)),multiply(D,multiply(A,B,C),E),inverse(E))
% Current number of equations to process: 4086
% Current number of ordered equations: 1
% Current number of rules: 127
% New rule produced :
% [380]
% multiply(inverse(multiply(A,B,C)),multiply(D,multiply(A,B,C),E),inverse(E))
% <->
% multiply(inverse(multiply(A,B,C)),multiply(D,E,multiply(C,B,A)),inverse(E))
% Current number of equations to process: 4086
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [381]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,B,a)),a),D)),
% multiply(D,multiply(C,inverse(multiply(D,B,E)),E),B)) -> A
% Current number of equations to process: 4084
% Current number of ordered equations: 1
% Current number of rules: 129
% New rule produced :
% [382]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(B,D,E)),E),D)),
% multiply(D,multiply(C,inverse(multiply(B,D,a)),a),B)) -> A
% Current number of equations to process: 4084
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [383]
% multiply(A,inverse(multiply(B,multiply(C,inverse(B),D),inverse(D))),multiply(
% inverse(D),
% multiply(C,
% inverse(
% multiply(
% inverse(D),B,E)),E),B))
% -> A
% Current number of equations to process: 4080
% Current number of ordered equations: 1
% Current number of rules: 131
% New rule produced :
% [384]
% multiply(A,inverse(multiply(inverse(B),multiply(C,inverse(multiply(inverse(B),D,E)),E),D)),
% multiply(D,multiply(C,inverse(D),B),inverse(B))) -> A
% Current number of equations to process: 4080
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [385]
% multiply(E,inverse(multiply(A,B,C)),D) <->
% multiply(inverse(multiply(A,B,C)),multiply(D,inverse(E),multiply(B,multiply(C,
% inverse(
% multiply(A,B,F)),F),A)),E)
% Current number of equations to process: 4079
% Current number of ordered equations: 1
% Current number of rules: 133
% New rule produced :
% [386]
% multiply(inverse(multiply(A,B,C)),multiply(D,inverse(E),multiply(B,multiply(C,
% inverse(
% multiply(A,B,F)),F),A)),E)
% <-> multiply(E,inverse(multiply(A,B,C)),D)
% Current number of equations to process: 4079
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [387]
% multiply(A,inverse(multiply(B,C,D)),multiply(C,multiply(E,inverse(multiply(E,C,B)),D),B))
% -> A
% Current number of equations to process: 4084
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [388]
% multiply(A,inverse(B),multiply(multiply(C,multiply(D,E,F),G),inverse(
% multiply(
% multiply(G,C,F),E,
% multiply(G,C,D))),B))
% -> A
% Current number of equations to process: 4081
% Current number of ordered equations: 2
% Current number of rules: 136
% New rule produced :
% [389]
% multiply(A,inverse(multiply(multiply(B,multiply(C,D,E),F),inverse(multiply(
% multiply(F,B,E),D,
% multiply(F,B,C))),G)),G)
% -> A
% Current number of equations to process: 4081
% Current number of ordered equations: 1
% Current number of rules: 137
% New rule produced :
% [390]
% multiply(A,inverse(multiply(multiply(B,C,multiply(D,E,F)),inverse(multiply(F,E,D)),
% multiply(B,C,G))),multiply(C,G,B)) -> A
% Current number of equations to process: 4081
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [391]
% multiply(inverse(multiply(B,C,D)),multiply(multiply(D,C,B),inverse(A),
% multiply(B,C,D)),A) -> A
% Current number of equations to process: 4085
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [392]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),D)),
% multiply(D,multiply(C,inverse(multiply(D,B,F)),F),B)) -> A
% Rule
% [381]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,B,a)),a),D)),
% multiply(D,multiply(C,inverse(multiply(D,B,E)),E),B)) -> A collapsed.
% Current number of equations to process: 4083
% Current number of ordered equations: 1
% Current number of rules: 139
% New rule produced :
% [393]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(B,D,E)),E),D)),
% multiply(D,multiply(C,inverse(multiply(B,D,F)),F),B)) -> A
% Rule
% [382]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(B,D,E)),E),D)),
% multiply(D,multiply(C,inverse(multiply(B,D,a)),a),B)) -> A collapsed.
% Current number of equations to process: 4083
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced : [394] multiply(A,B,C) <-> multiply(C,B,A)
% Rule [369] multiply(B,A,A) <-> multiply(A,A,B) collapsed.
% Rule [370] multiply(A,A,B) <-> multiply(B,A,A) collapsed.
% Rule
% [377]
% multiply(inverse(multiply(A,B,C)),multiply(D,inverse(E),multiply(A,B,C)),E)
% <->
% multiply(inverse(multiply(A,B,C)),multiply(D,inverse(E),multiply(C,B,A)),E)
% collapsed.
% Rule
% [378]
% multiply(inverse(multiply(A,B,C)),multiply(D,inverse(E),multiply(C,B,A)),E)
% <->
% multiply(inverse(multiply(A,B,C)),multiply(D,inverse(E),multiply(A,B,C)),E)
% collapsed.
% Current number of equations to process: 4091
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [395]
% multiply(A,inverse(multiply(multiply(B,C,D),inverse(multiply(D,C,B)),E)),E)
% -> A
% Current number of equations to process: 4096
% Current number of ordered equations: 1
% Current number of rules: 137
% New rule produced :
% [396]
% multiply(A,inverse(B),multiply(multiply(C,D,E),inverse(multiply(E,D,C)),B))
% -> A
% Current number of equations to process: 4096
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [397]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),D)),
% multiply(C,B,D)) -> A
% Current number of equations to process: 4094
% Current number of ordered equations: 1
% Current number of rules: 139
% New rule produced :
% [398]
% multiply(A,inverse(multiply(B,C,D)),multiply(C,multiply(B,inverse(multiply(D,C,E)),E),D))
% -> A
% Current number of equations to process: 4094
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [399]
% multiply(A,inverse(multiply(B,C,D)),multiply(B,multiply(D,inverse(multiply(B,C,E)),E),C))
% -> A
% Current number of equations to process: 4092
% Current number of ordered equations: 1
% Current number of rules: 141
% New rule produced :
% [400]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(B,D,E)),E),D)),
% multiply(B,D,C)) -> A
% Current number of equations to process: 4092
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [401]
% multiply(E,inverse(multiply(A,B,C)),D) <->
% multiply(inverse(multiply(A,B,C)),multiply(D,inverse(E),multiply(C,B,A)),E)
% Current number of equations to process: 4091
% Current number of ordered equations: 1
% Current number of rules: 143
% New rule produced :
% [402]
% multiply(inverse(multiply(A,B,C)),multiply(D,inverse(E),multiply(C,B,A)),E)
% <-> multiply(E,inverse(multiply(A,B,C)),D)
% Current number of equations to process: 4091
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [403]
% multiply(A,inverse(multiply(inverse(B),C,multiply(inverse(B),C,multiply(B,
% inverse(C),B)))),C)
% -> A
% Current number of equations to process: 4093
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [404]
% multiply(multiply(A,B,multiply(A,B,C)),multiply(B,C,A),inverse(multiply(B,C,A)))
% -> multiply(A,B,multiply(A,B,C))
% Current number of equations to process: 4092
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [405]
% multiply(inverse(multiply(A,B,C)),multiply(inverse(multiply(C,B,A)),inverse(D),
% multiply(A,B,C)),D) ->
% inverse(multiply(A,B,C))
% Current number of equations to process: 4091
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [406]
% multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),D),
% inverse(multiply(D,B,C)),F)),F) -> A
% Current number of equations to process: 4089
% Current number of ordered equations: 1
% Current number of rules: 148
% New rule produced :
% [407]
% multiply(A,inverse(B),multiply(multiply(C,multiply(D,inverse(multiply(E,C,F)),F),E),
% inverse(multiply(E,C,D)),B)) -> A
% Current number of equations to process: 4089
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [408]
% multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(B,D,E)),E),D)),
% multiply(D,inverse(multiply(B,D,C)),B)) -> A
% Current number of equations to process: 4087
% Current number of ordered equations: 1
% Current number of rules: 150
% New rule produced :
% [409]
% multiply(A,inverse(multiply(B,inverse(multiply(C,B,D)),C)),multiply(C,
% multiply(inverse(D),
% inverse(multiply(C,B,E)),E),B))
% -> A
% Current number of equations to process: 4087
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [410]
% multiply(A,inverse(multiply(B,inverse(multiply(B,C,D)),C)),multiply(C,
% multiply(inverse(D),
% inverse(multiply(B,C,E)),E),B))
% -> A
% Current number of equations to process: 4085
% Current number of ordered equations: 1
% Current number of rules: 152
% New rule produced :
% [411]
% multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(D,B,E)),E),D)),
% multiply(D,inverse(multiply(D,B,C)),B)) -> A
% Current number of equations to process: 4085
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [412]
% multiply(inverse(multiply(A,B,C)),inverse(multiply(E,inverse(multiply(A,B,C)),D)),E)
% <->
% multiply(inverse(multiply(A,B,C)),multiply(inverse(D),inverse(E),multiply(C,B,A)),E)
% Current number of equations to process: 4084
% Current number of ordered equations: 1
% Current number of rules: 154
% New rule produced :
% [413]
% multiply(inverse(multiply(A,B,C)),multiply(inverse(D),inverse(E),multiply(C,B,A)),E)
% <->
% multiply(inverse(multiply(A,B,C)),inverse(multiply(E,inverse(multiply(A,B,C)),D)),E)
% Current number of equations to process: 4084
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [414]
% multiply(A,inverse(multiply(C,inverse(multiply(a,a,multiply(a,a,inverse(B)))),a)),
% multiply(C,inverse(multiply(inverse(B),B,D)),D)) -> A
% Current number of equations to process: 4085
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [415]
% multiply(A,inverse(multiply(B,C,multiply(B,inverse(multiply(D,E,F)),G))),
% multiply(inverse(multiply(D,E,F)),multiply(G,C,multiply(F,E,D)),B)) -> A
% Current number of equations to process: 4084
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [416]
% multiply(A,inverse(multiply(B,C,multiply(B,C,multiply(D,inverse(multiply(B,C,E)),E)))),
% multiply(C,multiply(D,inverse(multiply(B,C,a)),a),B)) -> A
% Current number of equations to process: 4083
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [417]
% multiply(inverse(C),multiply(B,B,multiply(B,B,inverse(multiply(inverse(C),
% multiply(A,inverse(B),C),B)))),
% multiply(A,inverse(multiply(B,inverse(C),D)),D)) ->
% multiply(inverse(C),multiply(A,inverse(B),C),B)
% Current number of equations to process: 4085
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [418]
% multiply(A,inverse(multiply(inverse(B),C,multiply(inverse(B),C,multiply(D,
% inverse(
% multiply(
% inverse(B),C,E)),E)))),
% multiply(C,multiply(D,inverse(C),B),inverse(B))) -> A
% Current number of equations to process: 4084
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [419]
% multiply(multiply(A,B,C),multiply(B,multiply(C,inverse(multiply(A,B,D)),D),A),
% inverse(multiply(B,multiply(C,inverse(multiply(A,B,D)),D),A))) ->
% multiply(A,B,C)
% Current number of equations to process: 4083
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [420]
% multiply(inverse(multiply(A,B,multiply(A,B,C))),multiply(D,E,multiply(B,C,A)),
% inverse(E)) <->
% multiply(inverse(multiply(A,B,multiply(A,B,C))),multiply(D,multiply(A,B,
% multiply(A,B,C)),E),
% inverse(E))
% Current number of equations to process: 4082
% Current number of ordered equations: 1
% Current number of rules: 162
% New rule produced :
% [421]
% multiply(inverse(multiply(A,B,multiply(A,B,C))),multiply(D,multiply(A,B,
% multiply(A,B,C)),E),
% inverse(E)) <->
% multiply(inverse(multiply(A,B,multiply(A,B,C))),multiply(D,E,multiply(B,C,A)),
% inverse(E))
% Current number of equations to process: 4082
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [422]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(
% multiply(F,E,D),
% multiply(B,
% inverse(
% multiply(C,
% multiply(F,E,D),G)),G),C))
% -> A
% Current number of equations to process: 4081
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [423]
% multiply(multiply(A,inverse(B),inverse(C)),multiply(B,B,multiply(B,B,
% inverse(multiply(B,
% multiply(C,
% inverse(B),C),A)))),
% multiply(C,inverse(B),C)) -> multiply(B,multiply(C,inverse(B),C),A)
% Current number of equations to process: 4080
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [424]
% multiply(inverse(multiply(A,B,C)),inverse(multiply(E,inverse(multiply(A,B,C)),D)),E)
% <->
% multiply(inverse(multiply(A,B,C)),multiply(inverse(D),inverse(E),multiply(B,
% multiply(C,
% inverse(
% multiply(A,B,F)),F),A)),E)
% Current number of equations to process: 4079
% Current number of ordered equations: 1
% Current number of rules: 166
% New rule produced :
% [425]
% multiply(inverse(multiply(A,B,C)),multiply(inverse(D),inverse(E),multiply(B,
% multiply(C,
% inverse(
% multiply(A,B,F)),F),A)),E)
% <->
% multiply(inverse(multiply(A,B,C)),inverse(multiply(E,inverse(multiply(A,B,C)),D)),E)
% Current number of equations to process: 4079
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [426]
% multiply(inverse(multiply(multiply(A,B,C),D,multiply(A,B,E))),multiply(F,
% inverse(G),
% multiply(B,
% multiply(E,D,C),A)),G)
% <-> multiply(G,inverse(multiply(multiply(A,B,C),D,multiply(A,B,E))),F)
% Current number of equations to process: 4078
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced :
% [427]
% multiply(G,inverse(multiply(multiply(A,B,C),D,multiply(A,B,E))),F) <->
% multiply(inverse(multiply(multiply(A,B,C),D,multiply(A,B,E))),multiply(F,
% inverse(G),
% multiply(B,
% multiply(E,D,C),A)),G)
% Current number of equations to process: 4078
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [428]
% multiply(A,multiply(B,inverse(multiply(C,A,D)),D),multiply(A,multiply(B,
% inverse(
% multiply(C,A,D)),D),
% inverse(multiply(C,A,B))))
% -> multiply(A,multiply(B,inverse(multiply(C,A,D)),D),inverse(C))
% Current number of equations to process: 4077
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [429]
% multiply(A,inverse(multiply(multiply(B,C,multiply(D,multiply(E,inverse(
% multiply(F,D,G)),G),F)),
% inverse(multiply(F,D,E)),multiply(B,C,V_7))),multiply(C,V_7,B))
% -> A
% Current number of equations to process: 4076
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [430]
% multiply(inverse(C),multiply(A,inverse(multiply(B,inverse(C),D)),D),E) <->
% multiply(inverse(C),multiply(E,inverse(multiply(inverse(C),multiply(A,
% inverse(B),C),B)),B),
% multiply(A,inverse(multiply(B,inverse(C),D)),D))
% Current number of equations to process: 4075
% Current number of ordered equations: 1
% Current number of rules: 172
% New rule produced :
% [431]
% multiply(inverse(C),multiply(E,inverse(multiply(inverse(C),multiply(A,
% inverse(B),C),B)),B),
% multiply(A,inverse(multiply(B,inverse(C),D)),D)) <->
% multiply(inverse(C),multiply(A,inverse(multiply(B,inverse(C),D)),D),E)
% Current number of equations to process: 4075
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [432]
% multiply(A,inverse(multiply(B,B,multiply(B,B,multiply(C,inverse(B),C)))),
% multiply(inverse(C),multiply(B,inverse(multiply(C,inverse(B),C)),C),multiply(C,
% inverse(B),C)))
% -> A
% Current number of equations to process: 4074
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [433]
% multiply(A,inverse(multiply(multiply(B,C,D),multiply(inverse(E),inverse(
% multiply(D,F,G)),G),
% multiply(B,C,F))),multiply(C,multiply(F,inverse(multiply(D,F,E)),D),B))
% -> A
% Current number of equations to process: 4073
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [434]
% multiply(A,inverse(multiply(multiply(B,C,D),inverse(multiply(D,E,F)),
% multiply(B,C,E))),multiply(C,multiply(E,multiply(inverse(F),
% inverse(multiply(D,E,G)),G),D),B))
% -> A
% Current number of equations to process: 4072
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [435]
% multiply(inverse(B),multiply(D,B,multiply(A,inverse(B),C)),inverse(multiply(A,
% inverse(B),C)))
% <->
% multiply(inverse(B),multiply(D,inverse(multiply(inverse(B),multiply(inverse(C),
% inverse(A),B),A)),A),
% inverse(multiply(A,inverse(B),C)))
% Current number of equations to process: 4071
% Current number of ordered equations: 1
% Current number of rules: 177
% New rule produced :
% [436]
% multiply(inverse(B),multiply(D,inverse(multiply(inverse(B),multiply(inverse(C),
% inverse(A),B),A)),A),
% inverse(multiply(A,inverse(B),C))) <->
% multiply(inverse(B),multiply(D,B,multiply(A,inverse(B),C)),inverse(multiply(A,
% inverse(B),C)))
% Current number of equations to process: 4071
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [437]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),F)),
% multiply(B,multiply(D,inverse(multiply(D,B,C)),F),multiply(C,inverse(
% multiply(D,B,E)),E)))
% -> A
% Current number of equations to process: 4070
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [438]
% multiply(inverse(multiply(A,B,C)),multiply(D,multiply(A,B,C),E),inverse(E))
% <->
% multiply(inverse(multiply(A,B,C)),multiply(D,E,multiply(B,multiply(C,
% inverse(multiply(A,B,F)),F),A)),
% inverse(E))
% Current number of equations to process: 4069
% Current number of ordered equations: 1
% Current number of rules: 180
% New rule produced :
% [439]
% multiply(inverse(multiply(A,B,C)),multiply(D,E,multiply(B,multiply(C,
% inverse(multiply(A,B,F)),F),A)),
% inverse(E)) <->
% multiply(inverse(multiply(A,B,C)),multiply(D,multiply(A,B,C),E),inverse(E))
% Current number of equations to process: 4069
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [440]
% multiply(A,inverse(multiply(B,C,D)),multiply(C,multiply(E,inverse(multiply(E,B,
% multiply(E,B,C))),D),B))
% -> A
% Current number of equations to process: 4074
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [441]
% multiply(A,inverse(multiply(multiply(B,C,multiply(D,E,F)),inverse(multiply(F,D,
% multiply(F,D,E))),
% multiply(B,C,G))),multiply(C,G,B)) -> A
% Current number of equations to process: 4073
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [442]
% multiply(inverse(multiply(B,C,multiply(B,C,D))),multiply(multiply(C,D,B),
% inverse(A),multiply(B,C,
% multiply(B,C,D))),A)
% -> A
% Current number of equations to process: 4087
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [443]
% multiply(A,inverse(multiply(B,C,multiply(B,C,multiply(D,inverse(multiply(B,C,E)),E)))),
% multiply(C,multiply(D,inverse(multiply(B,C,F)),F),B)) -> A
% Rule
% [416]
% multiply(A,inverse(multiply(B,C,multiply(B,C,multiply(D,inverse(multiply(B,C,E)),E)))),
% multiply(C,multiply(D,inverse(multiply(B,C,a)),a),B)) -> A collapsed.
% Current number of equations to process: 4086
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced : [444] multiply(A,inverse(multiply(B,C,C)),C) -> A
% Current number of equations to process: 4096
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [445]
% multiply(A,inverse(multiply(B,inverse(C),B)),multiply(inverse(C),C,B)) -> A
% Current number of equations to process: 4095
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [446] multiply(A,inverse(multiply(B,C,multiply(B,C,inverse(C)))),B) -> A
% Current number of equations to process: 4095
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [447]
% multiply(A,inverse(B),multiply(multiply(C,D,E),inverse(multiply(E,C,multiply(E,C,D))),B))
% -> A
% Current number of equations to process: 4101
% Current number of ordered equations: 1
% Current number of rules: 188
% New rule produced :
% [448]
% multiply(A,inverse(multiply(multiply(B,C,D),inverse(multiply(D,B,multiply(D,B,C))),E)),E)
% -> A
% Current number of equations to process: 4101
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [449]
% multiply(A,inverse(multiply(B,C,multiply(B,C,D))),multiply(D,multiply(B,
% inverse(
% multiply(C,D,E)),E),C))
% -> A
% Current number of equations to process: 4100
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [450]
% multiply(A,inverse(multiply(B,C,multiply(B,C,multiply(D,inverse(multiply(B,C,E)),E)))),
% multiply(B,C,D)) -> A
% Current number of equations to process: 4099
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [451]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(multiply(B,C,D),E,
% inverse(multiply(D,C,B))))),E)
% -> A
% Current number of equations to process: 4098
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [452]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,E)),B)),multiply(inverse(
% multiply(C,D,E)),
% multiply(E,D,C),B))
% -> A
% Current number of equations to process: 4097
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [453]
% multiply(inverse(multiply(A,B,multiply(A,B,C))),multiply(D,inverse(E),
% multiply(B,C,A)),E) <->
% multiply(E,inverse(multiply(A,B,multiply(A,B,C))),D)
% Current number of equations to process: 4096
% Current number of ordered equations: 1
% Current number of rules: 194
% New rule produced :
% [454]
% multiply(E,inverse(multiply(A,B,multiply(A,B,C))),D) <->
% multiply(inverse(multiply(A,B,multiply(A,B,C))),multiply(D,inverse(E),
% multiply(B,C,A)),E)
% Current number of equations to process: 4096
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [455]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(multiply(B,C,D),E,
% inverse(multiply(D,B,multiply(D,B,C)))))),E)
% -> A
% Current number of equations to process: 4098
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [456]
% multiply(A,inverse(multiply(B,C,multiply(B,C,multiply(inverse(D),inverse(
% multiply(B,C,E)),E)))),
% multiply(C,inverse(multiply(B,C,D)),B)) -> A
% Current number of equations to process: 4097
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [457]
% multiply(A,inverse(multiply(B,C,multiply(B,C,inverse(multiply(B,C,D))))),
% multiply(C,multiply(inverse(D),inverse(multiply(B,C,E)),E),B)) -> A
% Current number of equations to process: 4096
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [458]
% multiply(multiply(inverse(A),B,C),multiply(B,multiply(C,inverse(B),A),
% inverse(A)),inverse(multiply(B,multiply(C,
% inverse(B),A),
% inverse(A)))) ->
% multiply(inverse(A),B,C)
% Current number of equations to process: 4096
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [459]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),
% multiply(D,B,C))),multiply(B,D,multiply(C,inverse(
% multiply(D,B,E)),E)))
% -> A
% Current number of equations to process: 4095
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [460]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,multiply(C,D,E))),B)),
% multiply(inverse(multiply(C,D,multiply(C,D,E))),multiply(D,E,C),B)) -> A
% Current number of equations to process: 4094
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [461]
% multiply(inverse(multiply(A,B,multiply(A,B,C))),multiply(inverse(multiply(B,C,A)),
% inverse(D),multiply(A,B,
% multiply(A,B,C))),D)
% -> inverse(multiply(A,B,multiply(A,B,C)))
% Current number of equations to process: 4093
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [462]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,E)),B)),multiply(inverse(
% multiply(C,D,E)),
% multiply(D,
% multiply(E,
% inverse(multiply(C,D,F)),F),C),B))
% -> A
% Current number of equations to process: 4094
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [463]
% multiply(inverse(multiply(inverse(A),B,C)),multiply(D,E,multiply(B,multiply(C,
% inverse(B),A),
% inverse(A))),
% inverse(E)) <->
% multiply(inverse(multiply(inverse(A),B,C)),multiply(D,multiply(inverse(A),B,C),E),
% inverse(E))
% Current number of equations to process: 4093
% Current number of ordered equations: 1
% Current number of rules: 204
% New rule produced :
% [464]
% multiply(inverse(multiply(inverse(A),B,C)),multiply(D,multiply(inverse(A),B,C),E),
% inverse(E)) <->
% multiply(inverse(multiply(inverse(A),B,C)),multiply(D,E,multiply(B,multiply(C,
% inverse(B),A),
% inverse(A))),
% inverse(E))
% Current number of equations to process: 4093
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [465]
% multiply(inverse(multiply(A,B,multiply(A,B,C))),inverse(multiply(E,inverse(
% multiply(A,B,
% multiply(A,B,C))),D)),E)
% <->
% multiply(inverse(multiply(A,B,multiply(A,B,C))),multiply(inverse(D),inverse(E),
% multiply(B,C,A)),E)
% Current number of equations to process: 4092
% Current number of ordered equations: 1
% Current number of rules: 206
% New rule produced :
% [466]
% multiply(inverse(multiply(A,B,multiply(A,B,C))),multiply(inverse(D),inverse(E),
% multiply(B,C,A)),E) <->
% multiply(inverse(multiply(A,B,multiply(A,B,C))),inverse(multiply(E,inverse(
% multiply(A,B,
% multiply(A,B,C))),D)),E)
% Current number of equations to process: 4092
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [467]
% multiply(A,inverse(multiply(B,multiply(C,inverse(B),D),E)),multiply(B,
% multiply(inverse(D),
% inverse(multiply(
% inverse(D),B,C)),E),
% multiply(C,
% inverse(B),D))) ->
% A
% Current number of equations to process: 4097
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [468]
% multiply(A,inverse(multiply(multiply(B,C,multiply(D,multiply(E,inverse(D),F),
% inverse(F))),inverse(multiply(
% inverse(F),D,E)),
% multiply(B,C,G))),multiply(C,G,B)) -> A
% Current number of equations to process: 4096
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [469]
% multiply(inverse(multiply(inverse(B),C,D)),multiply(multiply(C,multiply(D,
% inverse(C),B),
% inverse(B)),inverse(A),
% multiply(inverse(B),C,D)),A) -> A
% Current number of equations to process: 4108
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [470] multiply(A,inverse(multiply(inverse(B),B,C)),C) -> A
% Rule
% [339]
% multiply(A,inverse(C),multiply(C,inverse(multiply(inverse(B),B,D)),D)) -> A
% collapsed.
% Rule
% [414]
% multiply(A,inverse(multiply(C,inverse(multiply(a,a,multiply(a,a,inverse(B)))),a)),
% multiply(C,inverse(multiply(inverse(B),B,D)),D)) -> A collapsed.
% Current number of equations to process: 4119
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [471] multiply(A,B,multiply(inverse(C),multiply(C,C,B),inverse(B))) -> A
% Current number of equations to process: 4118
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [472]
% multiply(A,inverse(multiply(C,inverse(multiply(a,a,multiply(a,a,inverse(B)))),a)),C)
% -> A
% Current number of equations to process: 4117
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [473]
% multiply(A,inverse(multiply(inverse(B),C,C)),multiply(C,B,inverse(B))) -> A
% Current number of equations to process: 4117
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [474]
% multiply(A,inverse(multiply(inverse(B),C,D)),multiply(C,multiply(inverse(C),
% multiply(B,inverse(D),C),D),
% inverse(B))) -> A
% Current number of equations to process: 4123
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [475]
% multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(B),D),inverse(D)),
% inverse(multiply(inverse(D),B,C)),E)),E) -> A
% Current number of equations to process: 4120
% Current number of ordered equations: 2
% Current number of rules: 214
% New rule produced :
% [476]
% multiply(A,B,multiply(inverse(multiply(C,D,E)),multiply(multiply(E,D,C),
% multiply(C,D,E),B),inverse(B)))
% -> A
% Current number of equations to process: 4120
% Current number of ordered equations: 1
% Current number of rules: 215
% New rule produced :
% [477]
% multiply(A,inverse(B),multiply(multiply(C,multiply(D,inverse(C),E),inverse(E)),
% inverse(multiply(inverse(E),C,D)),B)) -> A
% Current number of equations to process: 4120
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [478]
% multiply(A,inverse(multiply(B,C,multiply(B,multiply(C,inverse(B),C),D))),
% multiply(B,D,multiply(C,inverse(B),C))) -> A
% Current number of equations to process: 4128
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [479]
% multiply(inverse(multiply(inverse(A),B,C)),multiply(D,inverse(E),multiply(B,
% multiply(C,
% inverse(B),A),
% inverse(A))),E)
% <-> multiply(E,inverse(multiply(inverse(A),B,C)),D)
% Current number of equations to process: 4127
% Current number of ordered equations: 1
% Current number of rules: 218
% New rule produced :
% [480]
% multiply(E,inverse(multiply(inverse(A),B,C)),D) <->
% multiply(inverse(multiply(inverse(A),B,C)),multiply(D,inverse(E),multiply(B,
% multiply(C,
% inverse(B),A),
% inverse(A))),E)
% Current number of equations to process: 4127
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [481]
% multiply(A,inverse(multiply(inverse(multiply(B,C,D)),multiply(D,C,B),E)),
% multiply(multiply(D,C,B),E,inverse(multiply(B,C,D)))) -> A
% Current number of equations to process: 4126
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [482]
% multiply(A,B,multiply(inverse(multiply(C,D,multiply(C,D,E))),multiply(
% multiply(D,E,C),
% multiply(C,D,
% multiply(C,D,E)),B),
% inverse(B))) -> A
% Current number of equations to process: 4125
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [483]
% multiply(A,B,multiply(inverse(multiply(C,D,E)),multiply(multiply(D,multiply(E,
% inverse(
% multiply(C,D,F)),F),C),
% multiply(C,D,E),B),inverse(B)))
% -> A
% Current number of equations to process: 4128
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [484]
% multiply(A,B,multiply(inverse(multiply(inverse(C),D,E)),multiply(multiply(D,
% multiply(E,
% inverse(D),C),
% inverse(C)),
% multiply(inverse(C),D,E),B),
% inverse(B))) -> A
% Current number of equations to process: 4127
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [485]
% multiply(inverse(multiply(inverse(A),B,C)),multiply(inverse(multiply(B,
% multiply(C,
% inverse(B),A),
% inverse(A))),
% inverse(D),multiply(inverse(A),B,C)),D)
% -> inverse(multiply(inverse(A),B,C))
% Current number of equations to process: 4126
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [486]
% multiply(A,inverse(multiply(B,inverse(multiply(inverse(C),D,E)),B)),multiply(
% inverse(
% multiply(
% inverse(C),D,E)),
% multiply(D,
% multiply(E,
% inverse(D),C),
% inverse(C)),B))
% -> A
% Current number of equations to process: 4125
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [487]
% multiply(A,inverse(multiply(inverse(B),multiply(B,C,D),C)),multiply(inverse(B),
% multiply(C,
% multiply(inverse(D),
% inverse(multiply(B,C,E)),E),B),
% multiply(B,C,D)))
% -> A
% Current number of equations to process: 4129
% Current number of ordered equations: 1
% Current number of rules: 226
% New rule produced :
% [488]
% multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(D),B),D)),
% multiply(inverse(B),multiply(D,B,multiply(D,inverse(B),C)),inverse(multiply(D,
% inverse(B),C))))
% -> A
% Current number of equations to process: 4129
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [489]
% multiply(inverse(multiply(inverse(A),B,C)),inverse(multiply(E,inverse(
% multiply(
% inverse(A),B,C)),D)),E)
% <->
% multiply(inverse(multiply(inverse(A),B,C)),multiply(inverse(D),inverse(E),
% multiply(B,multiply(C,inverse(B),A),
% inverse(A))),E)
% Current number of equations to process: 4128
% Current number of ordered equations: 1
% Current number of rules: 228
% New rule produced :
% [490]
% multiply(inverse(multiply(inverse(A),B,C)),multiply(inverse(D),inverse(E),
% multiply(B,multiply(C,inverse(B),A),
% inverse(A))),E) <->
% multiply(inverse(multiply(inverse(A),B,C)),inverse(multiply(E,inverse(
% multiply(
% inverse(A),B,C)),D)),E)
% Current number of equations to process: 4128
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [491]
% multiply(A,inverse(multiply(inverse(multiply(B,C,D)),multiply(D,B,multiply(D,B,C)),E)),
% multiply(multiply(D,B,multiply(D,B,C)),E,inverse(multiply(B,C,D)))) -> A
% Current number of equations to process: 4127
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [492]
% multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(B),D),inverse(D)),E,
% multiply(multiply(B,multiply(C,inverse(B),D),inverse(D)),E,
% inverse(multiply(inverse(D),B,C))))),E) -> A
% Current number of equations to process: 4126
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [493]
% multiply(A,inverse(multiply(multiply(B,C,D),inverse(D),multiply(B,C,multiply(E,
% inverse(
% multiply(B,C,F)),F)))),
% multiply(C,multiply(E,inverse(multiply(B,C,a)),a),B)) -> A
% Current number of equations to process: 4125
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [494]
% multiply(A,inverse(multiply(B,C,multiply(B,multiply(D,inverse(B),D),E))),
% multiply(B,multiply(D,inverse(B),D),multiply(B,multiply(D,inverse(B),D),
% multiply(E,C,inverse(D))))) -> A
% Current number of equations to process: 4124
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [495]
% multiply(inverse(C),multiply(B,inverse(multiply(A,inverse(B),C)),C),multiply(A,
% inverse(B),C))
% -> multiply(inverse(C),multiply(A,inverse(B),C),B)
% Rule
% [432]
% multiply(A,inverse(multiply(B,B,multiply(B,B,multiply(C,inverse(B),C)))),
% multiply(inverse(C),multiply(B,inverse(multiply(C,inverse(B),C)),C),multiply(C,
% inverse(B),C)))
% -> A collapsed.
% Current number of equations to process: 4124
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [496]
% multiply(A,inverse(multiply(B,B,multiply(B,B,multiply(C,inverse(B),C)))),B)
% -> A
% Current number of equations to process: 4123
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [497]
% multiply(inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(
% multiply(C,
% multiply(F,E,D),B),
% inverse(A),
% multiply(
% multiply(B,C,D),E,
% multiply(B,C,F))),A)
% -> A
% Current number of equations to process: 4122
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [498]
% multiply(A,multiply(B,inverse(multiply(C,A,D)),D),multiply(A,multiply(B,
% inverse(
% multiply(C,A,D)),D),
% multiply(E,inverse(
% multiply(C,A,B)),C)))
% -> multiply(A,multiply(B,inverse(multiply(C,A,D)),D),E)
% Current number of equations to process: 4121
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [499]
% multiply(A,inverse(multiply(multiply(B,C,D),multiply(B,C,E),F)),multiply(C,
% multiply(D,
% multiply(F,
% inverse(
% multiply(
% multiply(B,C,D),
% multiply(B,C,E),G)),G),E),B))
% -> A
% Current number of equations to process: 4120
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [500]
% multiply(A,inverse(multiply(multiply(B,multiply(C,D,E),F),G,multiply(
% multiply(B,
% multiply(C,D,E),F),G,
% inverse(multiply(
% multiply(F,B,E),D,
% multiply(F,B,C)))))),G)
% -> A
% Current number of equations to process: 4111
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [501]
% multiply(A,inverse(multiply(B,inverse(C),D)),multiply(inverse(C),multiply(B,
% inverse(
% multiply(D,
% inverse(
% multiply(B,
% inverse(C),E)),E)),C),
% multiply(D,inverse(multiply(B,
% inverse(C),E)),E)))
% -> A
% Current number of equations to process: 4110
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [502]
% multiply(A,inverse(multiply(multiply(inverse(B),C,D),inverse(D),multiply(
% inverse(B),C,
% multiply(E,
% inverse(
% multiply(
% inverse(B),C,F)),F)))),
% multiply(C,multiply(E,inverse(C),B),inverse(B))) -> A
% Current number of equations to process: 4109
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [503]
% multiply(A,inverse(multiply(B,C,D)),multiply(C,multiply(E,inverse(multiply(
% multiply(E,B,F),
% inverse(F),
% multiply(E,B,C))),D),B))
% -> A
% Current number of equations to process: 4117
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [504]
% multiply(A,inverse(multiply(B,multiply(C,D,E),multiply(multiply(F,B,E),D,
% multiply(F,B,C)))),multiply(
% multiply(C,D,E),F,B))
% -> A
% Current number of equations to process: 4116
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [505]
% multiply(A,inverse(multiply(multiply(B,C,multiply(D,E,F)),inverse(multiply(
% multiply(F,D,G),
% inverse(G),
% multiply(F,D,E))),
% multiply(B,C,V_7))),multiply(C,V_7,B)) -> A
% Current number of equations to process: 4115
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [506]
% multiply(inverse(multiply(multiply(B,C,D),inverse(D),multiply(B,C,E))),
% multiply(multiply(C,E,B),inverse(A),multiply(multiply(B,C,D),inverse(D),
% multiply(B,C,E))),A) -> A
% Current number of equations to process: 4138
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [507]
% multiply(A,inverse(multiply(multiply(B,C,D),inverse(D),multiply(B,C,multiply(E,
% inverse(
% multiply(B,C,F)),F)))),
% multiply(C,multiply(E,inverse(multiply(B,C,G)),G),B)) -> A
% Rule
% [493]
% multiply(A,inverse(multiply(multiply(B,C,D),inverse(D),multiply(B,C,multiply(E,
% inverse(
% multiply(B,C,F)),F)))),
% multiply(C,multiply(E,inverse(multiply(B,C,a)),a),B)) -> A collapsed.
% Current number of equations to process: 4137
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [508] multiply(multiply(C,A,D),inverse(D),multiply(C,A,B)) -> multiply(A,B,C)
% Rule
% [233]
% multiply(A,inverse(multiply(multiply(B,C,D),inverse(D),multiply(B,C,F))),
% multiply(C,F,B)) -> A collapsed.
% Rule
% [502]
% multiply(A,inverse(multiply(multiply(inverse(B),C,D),inverse(D),multiply(
% inverse(B),C,
% multiply(E,
% inverse(
% multiply(
% inverse(B),C,F)),F)))),
% multiply(C,multiply(E,inverse(C),B),inverse(B))) -> A collapsed.
% Rule
% [503]
% multiply(A,inverse(multiply(B,C,D)),multiply(C,multiply(E,inverse(multiply(
% multiply(E,B,F),
% inverse(F),
% multiply(E,B,C))),D),B))
% -> A collapsed.
% Rule
% [505]
% multiply(A,inverse(multiply(multiply(B,C,multiply(D,E,F)),inverse(multiply(
% multiply(F,D,G),
% inverse(G),
% multiply(F,D,E))),
% multiply(B,C,V_7))),multiply(C,V_7,B)) -> A collapsed.
% Rule
% [506]
% multiply(inverse(multiply(multiply(B,C,D),inverse(D),multiply(B,C,E))),
% multiply(multiply(C,E,B),inverse(A),multiply(multiply(B,C,D),inverse(D),
% multiply(B,C,E))),A) -> A collapsed.
% Rule
% [507]
% multiply(A,inverse(multiply(multiply(B,C,D),inverse(D),multiply(B,C,multiply(E,
% inverse(
% multiply(B,C,F)),F)))),
% multiply(C,multiply(E,inverse(multiply(B,C,G)),G),B)) -> A collapsed.
% Current number of equations to process: 4154
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [509]
% multiply(inverse(multiply(C,E,B)),multiply(E,multiply(B,inverse(A),B),C),A)
% -> A
% Current number of equations to process: 4153
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [510]
% multiply(A,inverse(multiply(inverse(B),multiply(C,inverse(multiply(D,C,B)),B),
% multiply(D,C,B))),C) -> A
% Current number of equations to process: 4152
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [511]
% multiply(A,inverse(multiply(B,multiply(C,inverse(B),C),D)),multiply(B,
% multiply(inverse(C),
% inverse(B),D),
% multiply(C,
% inverse(B),C))) ->
% A
% Current number of equations to process: 4153
% Current number of ordered equations: 1
% Current number of rules: 242
% New rule produced :
% [512]
% multiply(A,inverse(B),multiply(B,multiply(C,inverse(multiply(B,multiply(D,
% inverse(B),D),C)),
% inverse(D)),multiply(D,inverse(B),D))) -> A
% Current number of equations to process: 4153
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [513]
% multiply(A,inverse(multiply(inverse(B),multiply(C,inverse(multiply(C,
% inverse(D),B)),B),
% multiply(C,inverse(D),B))),multiply(inverse(D),D,C)) -> A
% Current number of equations to process: 4152
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [514]
% multiply(inverse(multiply(A,B,C)),multiply(D,inverse(E),multiply(A,B,C)),E)
% <->
% multiply(inverse(multiply(A,B,C)),multiply(D,inverse(E),multiply(B,multiply(F,
% inverse(
% multiply(A,B,F)),C),A)),E)
% Current number of equations to process: 4154
% Current number of ordered equations: 1
% Current number of rules: 245
% New rule produced :
% [515]
% multiply(inverse(multiply(A,B,C)),multiply(D,inverse(E),multiply(B,multiply(F,
% inverse(
% multiply(A,B,F)),C),A)),E)
% <->
% multiply(inverse(multiply(A,B,C)),multiply(D,inverse(E),multiply(A,B,C)),E)
% Current number of equations to process: 4154
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [516]
% multiply(inverse(multiply(A,B,C)),multiply(D,multiply(A,B,C),E),inverse(E))
% <->
% multiply(inverse(multiply(A,B,C)),multiply(D,E,multiply(B,multiply(F,
% inverse(multiply(A,B,F)),C),A)),
% inverse(E))
% Current number of equations to process: 4158
% Current number of ordered equations: 1
% Current number of rules: 247
% New rule produced :
% [517]
% multiply(inverse(multiply(A,B,C)),multiply(D,E,multiply(B,multiply(F,
% inverse(multiply(A,B,F)),C),A)),
% inverse(E)) <->
% multiply(inverse(multiply(A,B,C)),multiply(D,multiply(A,B,C),E),inverse(E))
% Current number of equations to process: 4158
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [518]
% multiply(multiply(A,B,C),multiply(B,multiply(D,inverse(multiply(A,B,D)),C),A),
% inverse(multiply(B,multiply(D,inverse(multiply(A,B,D)),C),A))) ->
% multiply(A,B,C)
% Current number of equations to process: 4157
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [519]
% multiply(A,inverse(multiply(C,multiply(inverse(E),inverse(multiply(B,C,F)),F),B)),
% multiply(C,inverse(multiply(B,C,E)),B)) -> A
% Current number of equations to process: 4156
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [520]
% multiply(A,inverse(multiply(B,inverse(multiply(C,multiply(D,inverse(multiply(E,C,F)),F),E)),
% multiply(B,inverse(multiply(E,C,D)),G))),multiply(
% inverse(multiply(E,C,D)),G,B))
% -> A
% Current number of equations to process: 4154
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [521]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(C,multiply(F,E,D),B))),
% multiply(E,multiply(B,C,F),multiply(B,C,D))) -> A
% Current number of equations to process: 4160
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [522]
% multiply(A,inverse(multiply(multiply(B,C,multiply(D,multiply(E,inverse(
% multiply(F,D,E)),G),F)),
% inverse(multiply(F,D,G)),multiply(B,C,V_7))),multiply(C,V_7,B))
% -> A
% Current number of equations to process: 4159
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [523]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,B,C)),E),F)),
% multiply(B,multiply(D,inverse(multiply(D,B,E)),F),multiply(C,inverse(
% multiply(D,B,C)),E)))
% -> A
% Current number of equations to process: 4158
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [524]
% multiply(inverse(multiply(B,C,D)),multiply(multiply(C,multiply(E,inverse(
% multiply(B,C,E)),D),B),
% inverse(A),multiply(B,C,D)),A) -> A
% Current number of equations to process: 4166
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [525]
% multiply(A,inverse(multiply(B,inverse(C),D)),multiply(inverse(C),multiply(C,
% inverse(B),D),B))
% -> A
% Current number of equations to process: 4178
% Current number of ordered equations: 1
% Current number of rules: 256
% New rule produced :
% [526]
% multiply(A,inverse(B),multiply(inverse(C),multiply(D,inverse(multiply(B,
% inverse(C),D)),C),B))
% -> A
% Current number of equations to process: 4178
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [527]
% multiply(C,A,D) <-> multiply(A,multiply(B,inverse(multiply(C,A,B)),D),C)
% Rule
% [508] multiply(multiply(C,A,D),inverse(D),multiply(C,A,B)) -> multiply(A,B,C)
% collapsed.
% Rule
% [514]
% multiply(inverse(multiply(A,B,C)),multiply(D,inverse(E),multiply(A,B,C)),E)
% <->
% multiply(inverse(multiply(A,B,C)),multiply(D,inverse(E),multiply(B,multiply(F,
% inverse(
% multiply(A,B,F)),C),A)),E)
% collapsed.
% Current number of equations to process: 4179
% Current number of ordered equations: 1
% Current number of rules: 256
% New rule produced :
% [528]
% multiply(A,multiply(B,inverse(multiply(C,A,B)),D),C) <-> multiply(C,A,D)
% Rule
% [515]
% multiply(inverse(multiply(A,B,C)),multiply(D,inverse(E),multiply(B,multiply(F,
% inverse(
% multiply(A,B,F)),C),A)),E)
% <->
% multiply(inverse(multiply(A,B,C)),multiply(D,inverse(E),multiply(A,B,C)),E)
% collapsed.
% Current number of equations to process: 4179
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [529] multiply(A,inverse(multiply(B,C,multiply(D,C,B))),multiply(C,D,B)) -> A
% Current number of equations to process: 4187
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [530]
% multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(multiply(D,B,C)),E),D),
% inverse(multiply(D,B,E)),F)),F) -> A
% Current number of equations to process: 4185
% Current number of ordered equations: 1
% Current number of rules: 258
% New rule produced :
% [531]
% multiply(A,inverse(B),multiply(multiply(C,multiply(D,inverse(multiply(E,C,D)),F),E),
% inverse(multiply(E,C,F)),B)) -> A
% Current number of equations to process: 4185
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [532]
% multiply(inverse(D),multiply(a,inverse(multiply(inverse(D),multiply(a,
% inverse(multiply(C,A,D)),D),
% multiply(C,A,D))),multiply(C,A,B)),
% multiply(C,A,D)) <-> multiply(A,B,C)
% Current number of equations to process: 4184
% Current number of ordered equations: 1
% Current number of rules: 260
% New rule produced :
% [533]
% multiply(A,B,C) <->
% multiply(inverse(D),multiply(a,inverse(multiply(inverse(D),multiply(a,
% inverse(multiply(C,A,D)),D),
% multiply(C,A,D))),multiply(C,A,B)),
% multiply(C,A,D))
% Current number of equations to process: 4184
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [534]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),D)),
% multiply(B,multiply(F,inverse(multiply(D,B,F)),C),D)) -> A
% Current number of equations to process: 4181
% Current number of ordered equations: 2
% Current number of rules: 262
% New rule produced :
% [535]
% multiply(A,inverse(multiply(B,C,D)),multiply(C,multiply(E,inverse(multiply(C,
% multiply(E,
% inverse(
% multiply(B,C,F)),F),B)),D),B))
% -> A
% Current number of equations to process: 4181
% Current number of ordered equations: 1
% Current number of rules: 263
% New rule produced :
% [536]
% multiply(A,inverse(multiply(B,C,D)),multiply(C,multiply(E,multiply(D,
% inverse(E),
% multiply(B,C,E)),
% inverse(multiply(B,C,E))),B))
% -> A
% Current number of equations to process: 4181
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [537]
% multiply(A,inverse(multiply(B,C,multiply(C,D,B))),multiply(C,multiply(B,C,D),B))
% -> A
% Current number of equations to process: 4185
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [538]
% multiply(A,inverse(multiply(inverse(B),C,multiply(C,multiply(D,inverse(C),B),
% inverse(B)))),multiply(C,D,inverse(B)))
% -> A
% Current number of equations to process: 4189
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [539]
% multiply(E,inverse(multiply(A,B,C)),D) <->
% multiply(inverse(multiply(A,B,C)),multiply(D,inverse(E),multiply(B,multiply(F,
% inverse(
% multiply(A,B,F)),C),A)),E)
% Current number of equations to process: 4188
% Current number of ordered equations: 1
% Current number of rules: 267
% New rule produced :
% [540]
% multiply(inverse(multiply(A,B,C)),multiply(D,inverse(E),multiply(B,multiply(F,
% inverse(
% multiply(A,B,F)),C),A)),E)
% <-> multiply(E,inverse(multiply(A,B,C)),D)
% Current number of equations to process: 4188
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [541]
% multiply(A,inverse(multiply(B,multiply(C,D,C),multiply(B,multiply(D,inverse(B),D),
% inverse(C)))),B) -> A
% Current number of equations to process: 4193
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [542]
% multiply(A,inverse(multiply(B,C,multiply(C,multiply(D,inverse(multiply(B,C,D)),E),B))),
% multiply(C,E,B)) -> A
% Current number of equations to process: 4192
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [543]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,E)),F)),multiply(inverse(
% multiply(C,D,E)),
% multiply(multiply(E,D,C),
% inverse(B),F),B))
% -> A
% Current number of equations to process: 4194
% Current number of ordered equations: 1
% Current number of rules: 271
% New rule produced :
% [544]
% multiply(A,inverse(B),multiply(inverse(multiply(C,D,E)),multiply(F,inverse(
% multiply(B,
% inverse(
% multiply(C,D,E)),F)),
% multiply(E,D,C)),B))
% -> A
% Current number of equations to process: 4194
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [545]
% multiply(A,inverse(multiply(B,multiply(C,inverse(D),C),multiply(B,multiply(C,
% inverse(B),C),D))),
% multiply(B,D,multiply(C,inverse(B),C))) -> A
% Current number of equations to process: 4193
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [546]
% multiply(inverse(multiply(A,B,C)),multiply(inverse(multiply(B,multiply(D,
% inverse(
% multiply(A,B,D)),C),A)),
% inverse(E),multiply(A,B,C)),E) ->
% inverse(multiply(A,B,C))
% Current number of equations to process: 4196
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [547]
% multiply(A,B,multiply(inverse(multiply(C,D,E)),multiply(multiply(D,multiply(F,
% inverse(
% multiply(C,D,F)),E),C),
% multiply(C,D,E),B),inverse(B)))
% -> A
% Current number of equations to process: 4195
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [548]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,E)),B)),multiply(inverse(
% multiply(C,D,E)),
% multiply(D,
% multiply(F,
% inverse(multiply(C,D,F)),E),C),B))
% -> A
% Current number of equations to process: 4194
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [549]
% multiply(inverse(multiply(A,B,C)),multiply(inverse(D),inverse(E),multiply(B,
% multiply(F,
% inverse(
% multiply(A,B,F)),C),A)),E)
% <->
% multiply(inverse(multiply(A,B,C)),inverse(multiply(E,inverse(multiply(A,B,C)),D)),E)
% Current number of equations to process: 4193
% Current number of ordered equations: 1
% Current number of rules: 277
% New rule produced :
% [550]
% multiply(inverse(multiply(A,B,C)),inverse(multiply(E,inverse(multiply(A,B,C)),D)),E)
% <->
% multiply(inverse(multiply(A,B,C)),multiply(inverse(D),inverse(E),multiply(B,
% multiply(F,
% inverse(
% multiply(A,B,F)),C),A)),E)
% Current number of equations to process: 4193
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [551]
% multiply(A,inverse(multiply(B,C,D)),multiply(C,multiply(E,inverse(multiply(
% multiply(E,B,
% inverse(F)),
% multiply(F,
% inverse(C),F),
% multiply(E,B,C))),D),B))
% -> A
% Current number of equations to process: 4200
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [552]
% multiply(A,inverse(multiply(B,multiply(C,D,C),multiply(D,B,inverse(C)))),B)
% -> A
% Current number of equations to process: 4225
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [553]
% multiply(multiply(C,A,inverse(D)),multiply(D,inverse(B),D),multiply(C,A,B))
% -> multiply(A,B,C)
% Rule
% [237]
% multiply(A,inverse(multiply(multiply(B,C,inverse(D)),multiply(D,inverse(E),D),
% multiply(B,C,E))),multiply(C,E,B)) -> A collapsed.
% Rule
% [551]
% multiply(A,inverse(multiply(B,C,D)),multiply(C,multiply(E,inverse(multiply(
% multiply(E,B,
% inverse(F)),
% multiply(F,
% inverse(C),F),
% multiply(E,B,C))),D),B))
% -> A collapsed.
% Current number of equations to process: 4225
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [554]
% multiply(A,inverse(multiply(B,multiply(C,inverse(D),C),multiply(B,inverse(D),
% inverse(C)))),
% multiply(inverse(D),D,B)) -> A
% Current number of equations to process: 4224
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [555]
% multiply(A,inverse(multiply(B,multiply(C,inverse(D),C),multiply(C,B,D))),
% multiply(B,D,C)) -> A
% Current number of equations to process: 4225
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [556]
% multiply(A,inverse(multiply(multiply(B,C,inverse(D)),multiply(D,D,inverse(E)),
% multiply(B,C,multiply(D,D,E)))),multiply(C,multiply(D,D,E),B))
% -> A
% Current number of equations to process: 4228
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [557]
% multiply(multiply(A,B,multiply(inverse(C),A,D)),multiply(A,multiply(D,B,C),
% inverse(C)),inverse(multiply(A,
% multiply(D,B,C),
% inverse(C))))
% -> multiply(A,B,multiply(inverse(C),A,D))
% Current number of equations to process: 4227
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [558]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(inverse(D),E,F)),F),
% multiply(D,B,E))),multiply(B,multiply(E,multiply(C,
% inverse(E),D),
% inverse(D)),D)) -> A
% Current number of equations to process: 4229
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [559]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,multiply(C,D,E))),F)),
% multiply(inverse(multiply(C,D,multiply(C,D,E))),multiply(multiply(D,E,C),
% inverse(B),F),B)) -> A
% Current number of equations to process: 4227
% Current number of ordered equations: 1
% Current number of rules: 285
% New rule produced :
% [560]
% multiply(A,inverse(B),multiply(inverse(multiply(C,D,multiply(C,D,E))),
% multiply(F,inverse(multiply(B,inverse(multiply(C,D,
% multiply(C,D,E))),F)),
% multiply(D,E,C)),B)) -> A
% Current number of equations to process: 4227
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [561]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,E)),F)),multiply(inverse(
% multiply(C,D,E)),
% multiply(multiply(D,
% multiply(E,
% inverse(
% multiply(C,D,G)),G),C),
% inverse(B),F),B))
% -> A
% Current number of equations to process: 4225
% Current number of ordered equations: 1
% Current number of rules: 287
% New rule produced :
% [562]
% multiply(A,inverse(B),multiply(inverse(multiply(C,D,E)),multiply(F,inverse(
% multiply(B,
% inverse(
% multiply(C,D,E)),F)),
% multiply(D,multiply(E,
% inverse(
% multiply(C,D,G)),G),C)),B))
% -> A
% Current number of equations to process: 4225
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [563]
% multiply(A,inverse(multiply(B,inverse(multiply(inverse(C),D,E)),F)),multiply(
% inverse(
% multiply(
% inverse(C),D,E)),
% multiply(
% multiply(D,
% multiply(E,
% inverse(D),C),
% inverse(C)),
% inverse(B),F),B))
% -> A
% Current number of equations to process: 4223
% Current number of ordered equations: 1
% Current number of rules: 289
% New rule produced :
% [564]
% multiply(A,inverse(B),multiply(inverse(multiply(inverse(C),D,E)),multiply(F,
% inverse(
% multiply(B,
% inverse(
% multiply(
% inverse(C),D,E)),F)),
% multiply(D,
% multiply(E,
% inverse(D),C),
% inverse(C))),B))
% -> A
% Current number of equations to process: 4223
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [565]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,E)),F)),multiply(inverse(
% multiply(C,D,E)),
% multiply(multiply(D,
% multiply(G,
% inverse(
% multiply(C,D,G)),E),C),
% inverse(B),F),B))
% -> A
% Current number of equations to process: 4221
% Current number of ordered equations: 1
% Current number of rules: 291
% New rule produced :
% [566]
% multiply(A,inverse(B),multiply(inverse(multiply(C,D,E)),multiply(F,inverse(
% multiply(B,
% inverse(
% multiply(C,D,E)),F)),
% multiply(D,multiply(G,
% inverse(
% multiply(C,D,G)),E),C)),B))
% -> A
% Current number of equations to process: 4221
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [567]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,E,F)),F),
% multiply(inverse(D),B,E))),multiply(B,multiply(E,multiply(C,
% inverse(
% multiply(D,E,a)),a),D),
% inverse(D))) -> A
% Current number of equations to process: 4220
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [568]
% multiply(A,inverse(multiply(B,A,C)),multiply(A,inverse(multiply(B,A,C)),
% multiply(D,inverse(multiply(A,multiply(
% inverse(C),
% inverse(
% multiply(B,A,E)),E),B)),B)))
% -> multiply(A,inverse(multiply(B,A,C)),D)
% Current number of equations to process: 4219
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [569]
% multiply(A,inverse(multiply(B,multiply(C,D,E),F)),multiply(multiply(C,D,E),
% multiply(inverse(E),
% inverse(multiply(B,D,
% multiply(inverse(E),B,C))),F),B))
% -> A
% Current number of equations to process: 4226
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [570]
% multiply(A,inverse(multiply(B,C,D)),multiply(multiply(B,C,D),multiply(E,
% inverse(
% multiply(
% multiply(E,
% inverse(F),D),C,
% multiply(E,
% inverse(F),B))),F),
% inverse(F))) -> A
% Current number of equations to process: 4225
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [571]
% multiply(A,inverse(multiply(multiply(B,C,multiply(D,multiply(E,F,G),inverse(G))),
% inverse(multiply(D,F,multiply(inverse(G),D,E))),multiply(B,C,V_7))),
% multiply(C,V_7,B)) -> A
% Current number of equations to process: 4224
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [572]
% multiply(inverse(multiply(B,C,multiply(inverse(D),B,E))),multiply(multiply(B,
% multiply(E,C,D),
% inverse(D)),
% inverse(A),multiply(B,C,
% multiply(
% inverse(D),B,E))),A)
% -> A
% Current number of equations to process: 4236
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [573]
% multiply(A,inverse(multiply(B,inverse(C),multiply(inverse(C),B,D))),multiply(B,D,
% inverse(C)))
% -> A
% Current number of equations to process: 4249
% Current number of ordered equations: 1
% Current number of rules: 299
% New rule produced :
% [574]
% multiply(A,inverse(B),multiply(B,multiply(C,inverse(multiply(inverse(D),B,C)),D),
% inverse(D))) -> A
% Current number of equations to process: 4249
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [575]
% multiply(A,C,multiply(inverse(D),A,B)) <->
% multiply(A,multiply(B,C,D),inverse(D))
% Current number of equations to process: 4250
% Current number of ordered equations: 1
% Current number of rules: 301
% New rule produced :
% [576]
% multiply(A,multiply(B,C,D),inverse(D)) <->
% multiply(A,C,multiply(inverse(D),A,B))
% Rule
% [574]
% multiply(A,inverse(B),multiply(B,multiply(C,inverse(multiply(inverse(D),B,C)),D),
% inverse(D))) -> A collapsed.
% Current number of equations to process: 4250
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [577]
% multiply(A,inverse(multiply(B,inverse(C),multiply(inverse(D),B,C))),multiply(B,D,
% inverse(D)))
% -> A
% Current number of equations to process: 4249
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [578]
% multiply(A,inverse(multiply(inverse(B),C,inverse(D))),multiply(inverse(B),
% multiply(B,C,D),
% inverse(D))) -> A
% Current number of equations to process: 4248
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [579]
% multiply(A,inverse(B),multiply(B,multiply(C,inverse(multiply(C,B,inverse(D))),D),
% inverse(D))) -> A
% Current number of equations to process: 4258
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [580]
% multiply(A,inverse(multiply(B,C,multiply(B,multiply(D,inverse(B),E),inverse(E)))),
% multiply(B,multiply(D,C,E),inverse(E))) -> A
% Current number of equations to process: 4257
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [581]
% multiply(A,inverse(multiply(multiply(B,multiply(C,D,E),inverse(E)),inverse(
% multiply(B,D,
% multiply(
% inverse(E),B,C))),F)),F)
% -> A
% Current number of equations to process: 4255
% Current number of ordered equations: 1
% Current number of rules: 306
% New rule produced :
% [582]
% multiply(A,inverse(B),multiply(multiply(C,multiply(D,E,F),inverse(F)),
% inverse(multiply(C,E,multiply(inverse(F),C,D))),B)) ->
% A
% Current number of equations to process: 4255
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [583]
% multiply(A,inverse(B),multiply(B,multiply(C,inverse(multiply(C,inverse(D),
% multiply(C,inverse(D),B))),D),
% inverse(D))) -> A
% Current number of equations to process: 4259
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [584]
% multiply(A,inverse(multiply(B,C,multiply(inverse(D),B,E))),multiply(B,
% multiply(C,
% multiply(D,
% inverse(multiply(E,C,F)),F),E),
% inverse(D))) -> A
% Current number of equations to process: 4262
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [585]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,E,F)),F),
% multiply(inverse(D),B,E))),multiply(B,multiply(D,E,C),
% inverse(D))) -> A
% Current number of equations to process: 4261
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [586]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,E)),multiply(inverse(
% multiply(E,D,C)),B,F))),
% multiply(B,F,inverse(multiply(E,D,C)))) -> A
% Current number of equations to process: 4260
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [587]
% multiply(A,inverse(multiply(B,C,multiply(B,multiply(D,C,E),inverse(E)))),
% multiply(C,multiply(inverse(E),B,D),B)) -> A
% Current number of equations to process: 4264
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [588]
% multiply(A,inverse(multiply(inverse(multiply(B,C,D)),E,inverse(F))),multiply(
% inverse(
% multiply(B,C,D)),
% multiply(
% multiply(D,C,B),E,F),
% inverse(F)))
% -> A
% Current number of equations to process: 4266
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [589]
% multiply(F,inverse(multiply(A,B,multiply(inverse(C),A,D))),E) <->
% multiply(inverse(multiply(A,B,multiply(inverse(C),A,D))),multiply(E,inverse(F),
% multiply(A,multiply(D,B,C),
% inverse(C))),F)
% Current number of equations to process: 4266
% Current number of ordered equations: 1
% Current number of rules: 314
% New rule produced :
% [590]
% multiply(inverse(multiply(A,B,multiply(inverse(C),A,D))),multiply(E,inverse(F),
% multiply(A,multiply(D,B,C),
% inverse(C))),F) <->
% multiply(F,inverse(multiply(A,B,multiply(inverse(C),A,D))),E)
% Current number of equations to process: 4266
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [591]
% multiply(A,inverse(multiply(B,C,multiply(inverse(D),B,E))),multiply(multiply(E,C,D),
% multiply(inverse(D),
% inverse(multiply(B,
% multiply(E,C,D),F)),F),B))
% -> A
% Current number of equations to process: 4265
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [592]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,multiply(C,D,E))),
% multiply(inverse(multiply(D,E,C)),B,F))),multiply(B,F,
% inverse(multiply(D,E,C))))
% -> A
% Current number of equations to process: 4264
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [593]
% multiply(A,inverse(multiply(B,C,D)),multiply(multiply(B,C,D),multiply(
% inverse(D),
% inverse(
% multiply(
% inverse(E),C,
% multiply(
% inverse(D),
% inverse(E),B))),E),
% inverse(E))) -> A
% Current number of equations to process: 4263
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [594]
% multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(D,E,F)),F),
% multiply(inverse(D),B,E))),multiply(B,multiply(E,inverse(
% multiply(D,E,C)),D),
% inverse(D))) -> A
% Current number of equations to process: 4262
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [595]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,E)),multiply(inverse(C),B,D))),
% multiply(B,multiply(D,multiply(inverse(E),inverse(multiply(C,D,F)),F),C),
% inverse(C))) -> A
% Current number of equations to process: 4261
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [596]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,E,F)),F),
% multiply(inverse(D),B,E))),multiply(B,multiply(E,multiply(C,
% inverse(
% multiply(D,E,G)),G),D),
% inverse(D))) -> A
% Rule
% [567]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,E,F)),F),
% multiply(inverse(D),B,E))),multiply(B,multiply(E,multiply(C,
% inverse(
% multiply(D,E,a)),a),D),
% inverse(D))) -> A collapsed.
% Current number of equations to process: 4260
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [597]
% multiply(A,inverse(multiply(inverse(multiply(B,C,multiply(B,C,D))),E,
% inverse(F))),multiply(inverse(multiply(B,C,multiply(B,C,D))),
% multiply(multiply(C,D,B),E,F),inverse(F))) ->
% A
% Current number of equations to process: 4258
% Current number of ordered equations: 1
% Current number of rules: 321
% New rule produced :
% [598]
% multiply(A,inverse(multiply(multiply(B,multiply(C,D,E),inverse(E)),F,
% multiply(multiply(B,multiply(C,D,E),inverse(E)),F,
% inverse(multiply(B,D,multiply(inverse(E),B,C)))))),F) -> A
% Current number of equations to process: 4258
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [599]
% multiply(A,B,multiply(inverse(multiply(C,D,multiply(inverse(E),C,F))),
% multiply(multiply(C,multiply(F,D,E),inverse(E)),multiply(C,D,
% multiply(
% inverse(E),C,F)),B),
% inverse(B))) -> A
% Current number of equations to process: 4257
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced : [600] multiply(inverse(A),inverse(A),B) -> inverse(A)
% Current number of equations to process: 4276
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [601]
% multiply(inverse(A),multiply(B,inverse(multiply(inverse(A),multiply(C,
% inverse(D),A),D)),C),D)
% -> multiply(inverse(A),multiply(B,inverse(D),A),D)
% Current number of equations to process: 4279
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [602]
% multiply(inverse(A),multiply(inverse(C),multiply(A,inverse(multiply(C,
% inverse(A),B)),C),
% multiply(C,inverse(A),B)),C) -> multiply(inverse(A),B,C)
% Current number of equations to process: 4278
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [603]
% multiply(A,inverse(multiply(inverse(B),multiply(C,inverse(D),B),D)),multiply(D,
% multiply(C,
% inverse(
% multiply(D,
% inverse(B),E)),E),
% inverse(B)))
% -> A
% Current number of equations to process: 4276
% Current number of ordered equations: 1
% Current number of rules: 327
% New rule produced :
% [604]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(B,inverse(D),E)),E),
% inverse(D))),multiply(inverse(D),multiply(C,inverse(B),D),B))
% -> A
% Current number of equations to process: 4276
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [605]
% multiply(A,multiply(B,inverse(multiply(A,inverse(multiply(inverse(C),A,D)),
% inverse(C))),inverse(C)),multiply(inverse(D),
% inverse(A),C)) <->
% multiply(A,multiply(inverse(D),inverse(A),C),B)
% Current number of equations to process: 4279
% Current number of ordered equations: 1
% Current number of rules: 329
% New rule produced :
% [606]
% multiply(A,multiply(inverse(D),inverse(A),C),B) <->
% multiply(A,multiply(B,inverse(multiply(A,inverse(multiply(inverse(C),A,D)),
% inverse(C))),inverse(C)),multiply(inverse(D),
% inverse(A),C))
% Current number of equations to process: 4279
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced : [607] inverse(multiply(inverse(B),B,A)) -> inverse(A)
% Rule [338] multiply(A,C,inverse(multiply(inverse(B),B,C))) -> A collapsed.
% Rule [470] multiply(A,inverse(multiply(inverse(B),B,C)),C) -> A collapsed.
% Current number of equations to process: 4295
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced : [608] multiply(A,C,inverse(C)) -> A
% Rule
% [260]
% multiply(multiply(multiply(A,B,C),D,multiply(A,B,E)),multiply(B,multiply(E,D,C),A),
% inverse(multiply(B,multiply(E,D,C),A))) ->
% multiply(multiply(A,B,C),D,multiply(A,B,E)) collapsed.
% Rule
% [373]
% multiply(multiply(A,B,C),multiply(C,B,A),inverse(multiply(C,B,A))) ->
% multiply(A,B,C) collapsed.
% Rule
% [404]
% multiply(multiply(A,B,multiply(A,B,C)),multiply(B,C,A),inverse(multiply(B,C,A)))
% -> multiply(A,B,multiply(A,B,C)) collapsed.
% Rule
% [419]
% multiply(multiply(A,B,C),multiply(B,multiply(C,inverse(multiply(A,B,D)),D),A),
% inverse(multiply(B,multiply(C,inverse(multiply(A,B,D)),D),A))) ->
% multiply(A,B,C) collapsed.
% Rule [446] multiply(A,inverse(multiply(B,C,multiply(B,C,inverse(C)))),B) -> A
% collapsed.
% Rule
% [458]
% multiply(multiply(inverse(A),B,C),multiply(B,multiply(C,inverse(B),A),
% inverse(A)),inverse(multiply(B,multiply(C,
% inverse(B),A),
% inverse(A)))) ->
% multiply(inverse(A),B,C) collapsed.
% Rule
% [473]
% multiply(A,inverse(multiply(inverse(B),C,C)),multiply(C,B,inverse(B))) -> A
% collapsed.
% Rule
% [518]
% multiply(multiply(A,B,C),multiply(B,multiply(D,inverse(multiply(A,B,D)),C),A),
% inverse(multiply(B,multiply(D,inverse(multiply(A,B,D)),C),A))) ->
% multiply(A,B,C) collapsed.
% Rule
% [557]
% multiply(multiply(A,B,multiply(inverse(C),A,D)),multiply(A,multiply(D,B,C),
% inverse(C)),inverse(multiply(A,
% multiply(D,B,C),
% inverse(C))))
% -> multiply(A,B,multiply(inverse(C),A,D)) collapsed.
% Rule
% [577]
% multiply(A,inverse(multiply(B,inverse(C),multiply(inverse(D),B,C))),multiply(B,D,
% inverse(D)))
% -> A collapsed.
% Current number of equations to process: 4296
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced : [609] multiply(A,inverse(multiply(B,C,B)),B) -> A
% Current number of equations to process: 4295
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [610]
% multiply(A,inverse(multiply(B,inverse(C),multiply(inverse(D),B,C))),B) -> A
% Current number of equations to process: 4294
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [611]
% multiply(A,inverse(multiply(inverse(B),A,C)),inverse(B)) <->
% multiply(A,multiply(inverse(A),multiply(B,C,A),inverse(C)),inverse(B))
% Current number of equations to process: 4297
% Current number of ordered equations: 1
% Current number of rules: 323
% New rule produced :
% [612]
% multiply(A,multiply(inverse(A),multiply(B,C,A),inverse(C)),inverse(B)) <->
% multiply(A,inverse(multiply(inverse(B),A,C)),inverse(B))
% Current number of equations to process: 4297
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [613]
% multiply(A,inverse(multiply(A,inverse(multiply(inverse(B),A,C)),inverse(B))),
% multiply(inverse(C),inverse(A),B)) <->
% multiply(A,multiply(inverse(C),inverse(A),B),B)
% Current number of equations to process: 4305
% Current number of ordered equations: 1
% Current number of rules: 325
% New rule produced :
% [614]
% multiply(A,multiply(inverse(C),inverse(A),B),B) <->
% multiply(A,inverse(multiply(A,inverse(multiply(inverse(B),A,C)),inverse(B))),
% multiply(inverse(C),inverse(A),B))
% Current number of equations to process: 4305
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [615]
% multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(D),B),D)),
% multiply(D,inverse(multiply(inverse(B),D,C)),inverse(B))) -> A
% Current number of equations to process: 4303
% Current number of ordered equations: 1
% Current number of rules: 327
% New rule produced :
% [616]
% multiply(A,inverse(multiply(B,inverse(multiply(inverse(C),B,D)),inverse(C))),
% multiply(inverse(C),multiply(inverse(D),inverse(B),C),B)) -> A
% Current number of equations to process: 4303
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [617]
% multiply(A,inverse(multiply(B,inverse(multiply(inverse(C),B,D)),inverse(C))),
% multiply(B,multiply(inverse(D),inverse(B),C),inverse(C))) -> A
% Current number of equations to process: 4302
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [618]
% multiply(A,multiply(A,inverse(multiply(a,A,inverse(B))),a),inverse(B)) ->
% multiply(A,A,inverse(B))
% Current number of equations to process: 4303
% Current number of ordered equations: 0
% Current number of rules: 330
% Rule [618]
% multiply(A,multiply(A,inverse(multiply(a,A,inverse(B))),a),inverse(B))
% -> multiply(A,A,inverse(B)) is composed into [618]
% multiply(A,multiply(A,
% inverse(
% multiply(a,A,
% inverse(B))),a),
% inverse(B)) -> A
% New rule produced : [619] multiply(A,A,inverse(B)) -> A
% Rule
% [316]
% multiply(inverse(A),multiply(A,A,B),multiply(inverse(A),multiply(A,A,B),
% multiply(A,A,inverse(B)))) ->
% multiply(A,A,B) collapsed.
% Rule
% [417]
% multiply(inverse(C),multiply(B,B,multiply(B,B,inverse(multiply(inverse(C),
% multiply(A,inverse(B),C),B)))),
% multiply(A,inverse(multiply(B,inverse(C),D)),D)) ->
% multiply(inverse(C),multiply(A,inverse(B),C),B) collapsed.
% Rule
% [423]
% multiply(multiply(A,inverse(B),inverse(C)),multiply(B,B,multiply(B,B,
% inverse(multiply(B,
% multiply(C,
% inverse(B),C),A)))),
% multiply(C,inverse(B),C)) -> multiply(B,multiply(C,inverse(B),C),A)
% collapsed.
% Rule
% [472]
% multiply(A,inverse(multiply(C,inverse(multiply(a,a,multiply(a,a,inverse(B)))),a)),C)
% -> A collapsed.
% Rule
% [556]
% multiply(A,inverse(multiply(multiply(B,C,inverse(D)),multiply(D,D,inverse(E)),
% multiply(B,C,multiply(D,D,E)))),multiply(C,multiply(D,D,E),B))
% -> A collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% multiply(a,a,a) = a
% 
% Current number of equations to process: 4309
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [620] multiply(inverse(A),multiply(A,A,B),multiply(A,A,B)) -> multiply(A,A,B)
% Current number of equations to process: 4308
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [621]
% multiply(multiply(A,inverse(B),inverse(C)),multiply(B,B,B),multiply(C,
% inverse(B),C)) ->
% multiply(B,multiply(C,inverse(B),C),A)
% Current number of equations to process: 4307
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [622]
% multiply(inverse(C),multiply(A,inverse(B),C),B) <->
% multiply(inverse(C),multiply(B,B,B),multiply(A,inverse(multiply(B,inverse(C),D)),D))
% Current number of equations to process: 4306
% Current number of ordered equations: 1
% Current number of rules: 329
% New rule produced :
% [623]
% multiply(inverse(C),multiply(B,B,B),multiply(A,inverse(multiply(B,inverse(C),D)),D))
% <-> multiply(inverse(C),multiply(A,inverse(B),C),B)
% Current number of equations to process: 4306
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [624]
% multiply(A,inverse(multiply(D,multiply(B,inverse(multiply(B,D,multiply(B,C,
% inverse(D)))),
% multiply(B,C,multiply(D,D,E))),multiply(B,C,
% inverse(D)))),
% multiply(C,multiply(D,D,E),B)) -> A
% Current number of equations to process: 4305
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [625]
% multiply(A,inverse(multiply(inverse(B),C,multiply(inverse(B),C,multiply(
% inverse(D),
% inverse(C),B)))),
% multiply(C,inverse(multiply(inverse(B),C,D)),inverse(B))) -> A
% Current number of equations to process: 4304
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [626]
% multiply(multiply(A,B,C),inverse(multiply(inverse(multiply(C,B,A)),multiply(A,B,C),D)),
% inverse(multiply(C,B,A))) ->
% multiply(multiply(A,B,C),inverse(D),inverse(multiply(C,B,A)))
% Current number of equations to process: 4303
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [627]
% multiply(A,multiply(inverse(B),inverse(A),C),inverse(C)) <->
% multiply(A,multiply(inverse(C),inverse(A),multiply(inverse(C),A,B)),inverse(
% multiply(
% inverse(C),A,B)))
% Current number of equations to process: 4316
% Current number of ordered equations: 1
% Current number of rules: 334
% New rule produced :
% [628]
% multiply(A,multiply(inverse(C),inverse(A),multiply(inverse(C),A,B)),inverse(
% multiply(
% inverse(C),A,B)))
% <-> multiply(A,multiply(inverse(B),inverse(A),C),inverse(C))
% Current number of equations to process: 4316
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [629] multiply(inverse(A),multiply(inverse(A),A,B),inverse(B)) -> inverse(A)
% Current number of equations to process: 4323
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced : [630] multiply(inverse(B),A,A) -> A
% Rule
% [620] multiply(inverse(A),multiply(A,A,B),multiply(A,A,B)) -> multiply(A,A,B)
% collapsed.
% Current number of equations to process: 4326
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [631]
% multiply(A,multiply(inverse(B),inverse(A),C),inverse(C)) <->
% multiply(A,inverse(multiply(A,multiply(B,inverse(A),C),inverse(C))),inverse(C))
% Current number of equations to process: 4328
% Current number of ordered equations: 1
% Current number of rules: 337
% New rule produced :
% [632]
% multiply(A,inverse(multiply(A,multiply(B,inverse(A),C),inverse(C))),inverse(C))
% <-> multiply(A,multiply(inverse(B),inverse(A),C),inverse(C))
% Current number of equations to process: 4328
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [633]
% multiply(inverse(multiply(A,B,C)),multiply(inverse(multiply(C,B,A)),multiply(A,B,C),D),
% inverse(D)) -> inverse(multiply(A,B,C))
% Current number of equations to process: 4343
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [634]
% multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(B),D),inverse(D))),
% multiply(inverse(D),inverse(multiply(inverse(D),B,C)),B)) -> A
% Current number of equations to process: 4343
% Current number of ordered equations: 1
% Current number of rules: 340
% New rule produced :
% [635]
% multiply(A,inverse(multiply(inverse(B),inverse(multiply(inverse(B),C,D)),C)),
% multiply(C,multiply(inverse(D),inverse(C),B),inverse(B))) -> A
% Current number of equations to process: 4343
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [636]
% multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(B),D),inverse(D))),
% multiply(B,inverse(multiply(inverse(D),B,C)),inverse(D))) -> A
% Current number of equations to process: 4342
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [637]
% multiply(inverse(A),inverse(multiply(B,inverse(A),C)),multiply(C,inverse(
% multiply(B,
% inverse(A),D)),D))
% <->
% multiply(inverse(A),multiply(C,inverse(multiply(B,inverse(A),D)),D),inverse(B))
% Current number of equations to process: 4341
% Current number of ordered equations: 1
% Current number of rules: 343
% New rule produced :
% [638]
% multiply(inverse(A),multiply(C,inverse(multiply(B,inverse(A),D)),D),inverse(B))
% <->
% multiply(inverse(A),inverse(multiply(B,inverse(A),C)),multiply(C,inverse(
% multiply(B,
% inverse(A),D)),D))
% Current number of equations to process: 4341
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [639]
% multiply(inverse(A),inverse(multiply(inverse(A),multiply(inverse(B),inverse(C),A),C)),
% inverse(multiply(C,inverse(A),B))) <->
% multiply(inverse(A),inverse(multiply(C,inverse(A),B)),inverse(C))
% Current number of equations to process: 4340
% Current number of ordered equations: 1
% Current number of rules: 345
% New rule produced :
% [640]
% multiply(inverse(A),inverse(multiply(C,inverse(A),B)),inverse(C)) <->
% multiply(inverse(A),inverse(multiply(inverse(A),multiply(inverse(B),inverse(C),A),C)),
% inverse(multiply(C,inverse(A),B)))
% Current number of equations to process: 4340
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [641]
% multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),B,D),inverse(D))),
% multiply(inverse(B),inverse(multiply(inverse(D),inverse(B),C)),inverse(D)))
% -> A
% Current number of equations to process: 4339
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [642]
% multiply(inverse(A),inverse(multiply(inverse(A),multiply(inverse(B),A,C),
% inverse(C))),inverse(multiply(inverse(C),
% inverse(A),B))) <->
% multiply(inverse(A),inverse(multiply(inverse(C),inverse(A),B)),C)
% Current number of equations to process: 4338
% Current number of ordered equations: 1
% Current number of rules: 348
% New rule produced :
% [643]
% multiply(inverse(A),inverse(multiply(inverse(C),inverse(A),B)),C) <->
% multiply(inverse(A),inverse(multiply(inverse(A),multiply(inverse(B),A,C),
% inverse(C))),inverse(multiply(inverse(C),
% inverse(A),B)))
% Current number of equations to process: 4338
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [644]
% multiply(A,inverse(multiply(A,multiply(inverse(A),inverse(B),C),B)),multiply(
% inverse(A),
% inverse(B),C))
% <->
% multiply(A,multiply(inverse(B),multiply(inverse(C),B,A),inverse(A)),multiply(
% inverse(A),
% inverse(B),C))
% Current number of equations to process: 4337
% Current number of ordered equations: 1
% Current number of rules: 350
% New rule produced :
% [645]
% multiply(A,multiply(inverse(B),multiply(inverse(C),B,A),inverse(A)),multiply(
% inverse(A),
% inverse(B),C))
% <->
% multiply(A,inverse(multiply(A,multiply(inverse(A),inverse(B),C),B)),multiply(
% inverse(A),
% inverse(B),C))
% Current number of equations to process: 4337
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [646]
% multiply(A,multiply(C,inverse(A),multiply(inverse(C),A,B)),inverse(multiply(
% inverse(C),A,B)))
% <->
% multiply(A,inverse(multiply(A,multiply(inverse(B),inverse(A),C),inverse(C))),
% inverse(multiply(inverse(C),A,B)))
% Current number of equations to process: 4336
% Current number of ordered equations: 1
% Current number of rules: 352
% New rule produced :
% [647]
% multiply(A,inverse(multiply(A,multiply(inverse(B),inverse(A),C),inverse(C))),
% inverse(multiply(inverse(C),A,B))) <->
% multiply(A,multiply(C,inverse(A),multiply(inverse(C),A,B)),inverse(multiply(
% inverse(C),A,B)))
% Current number of equations to process: 4336
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [648]
% multiply(A,inverse(multiply(inverse(D),A,C)),B) <->
% multiply(A,multiply(B,inverse(multiply(A,multiply(inverse(C),inverse(A),D),
% inverse(D))),inverse(D)),inverse(multiply(
% inverse(D),A,C)))
% Current number of equations to process: 4335
% Current number of ordered equations: 1
% Current number of rules: 354
% New rule produced :
% [649]
% multiply(A,multiply(B,inverse(multiply(A,multiply(inverse(C),inverse(A),D),
% inverse(D))),inverse(D)),inverse(multiply(
% inverse(D),A,C)))
% <-> multiply(A,inverse(multiply(inverse(D),A,C)),B)
% Current number of equations to process: 4335
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [650]
% multiply(A,inverse(multiply(inverse(B),C,multiply(inverse(B),C,inverse(
% multiply(
% inverse(B),C,D))))),
% multiply(C,multiply(inverse(D),inverse(C),B),inverse(B))) -> A
% Current number of equations to process: 4334
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [651]
% multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(D),E),multiply(E,B,D))),
% multiply(B,multiply(D,inverse(multiply(inverse(E),D,C)),inverse(E)),E)) -> A
% Current number of equations to process: 4333
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [652]
% multiply(inverse(multiply(A,B,C)),multiply(inverse(multiply(B,multiply(C,
% inverse(
% multiply(A,B,D)),D),A)),
% multiply(A,B,C),E),inverse(E)) ->
% inverse(multiply(A,B,C))
% Current number of equations to process: 4332
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [653]
% multiply(A,inverse(multiply(B,multiply(inverse(B),C,D),C)),multiply(B,
% multiply(C,
% multiply(inverse(D),
% inverse(C),B),
% inverse(B)),
% multiply(inverse(B),C,D)))
% -> A
% Current number of equations to process: 4331
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced :
% [654]
% multiply(inverse(multiply(A,B,C)),multiply(inverse(multiply(B,multiply(D,
% inverse(
% multiply(A,B,D)),C),A)),
% multiply(A,B,C),E),inverse(E)) ->
% inverse(multiply(A,B,C))
% Current number of equations to process: 4330
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [655]
% multiply(A,inverse(multiply(B,inverse(multiply(inverse(C),D,E)),multiply(C,B,D))),
% multiply(B,multiply(D,multiply(inverse(E),inverse(D),C),inverse(C)),C)) -> A
% Current number of equations to process: 4329
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [656]
% multiply(inverse(A),inverse(multiply(inverse(A),multiply(B,inverse(C),A),C)),
% multiply(B,inverse(multiply(C,inverse(A),D)),D)) <->
% multiply(inverse(A),multiply(B,inverse(multiply(C,inverse(A),D)),D),inverse(C))
% Current number of equations to process: 4328
% Current number of ordered equations: 1
% Current number of rules: 362
% New rule produced :
% [657]
% multiply(inverse(A),multiply(B,inverse(multiply(C,inverse(A),D)),D),inverse(C))
% <->
% multiply(inverse(A),inverse(multiply(inverse(A),multiply(B,inverse(C),A),C)),
% multiply(B,inverse(multiply(C,inverse(A),D)),D))
% Current number of equations to process: 4328
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [658]
% multiply(inverse(multiply(A,B,multiply(A,B,C))),multiply(inverse(multiply(B,C,A)),
% multiply(A,B,multiply(A,B,C)),D),
% inverse(D)) -> inverse(multiply(A,B,multiply(A,B,C)))
% Current number of equations to process: 4327
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced :
% [659]
% multiply(inverse(multiply(inverse(A),B,C)),multiply(inverse(multiply(B,
% multiply(C,
% inverse(B),A),
% inverse(A))),
% multiply(inverse(A),B,C),D),
% inverse(D)) -> inverse(multiply(inverse(A),B,C))
% Current number of equations to process: 4326
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [660]
% multiply(A,inverse(multiply(B,inverse(C),multiply(B,inverse(C),multiply(D,
% inverse(
% multiply(B,
% inverse(C),E)),E)))),
% multiply(inverse(C),multiply(D,inverse(B),C),B)) -> A
% Current number of equations to process: 4324
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [661]
% multiply(A,inverse(multiply(inverse(B),C,multiply(C,multiply(inverse(C),
% multiply(B,inverse(
% multiply(B,
% inverse(C),B)),C),
% multiply(B,inverse(C),B)),
% inverse(B)))),C) -> A
% Current number of equations to process: 4323
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [662]
% multiply(inverse(A),multiply(B,inverse(multiply(inverse(C),inverse(A),D)),D),C)
% <->
% multiply(inverse(A),inverse(multiply(inverse(A),multiply(B,A,C),inverse(C))),
% multiply(B,inverse(multiply(inverse(C),inverse(A),D)),D))
% Current number of equations to process: 4322
% Current number of ordered equations: 1
% Current number of rules: 368
% New rule produced :
% [663]
% multiply(inverse(A),inverse(multiply(inverse(A),multiply(B,A,C),inverse(C))),
% multiply(B,inverse(multiply(inverse(C),inverse(A),D)),D)) <->
% multiply(inverse(A),multiply(B,inverse(multiply(inverse(C),inverse(A),D)),D),C)
% Current number of equations to process: 4322
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [664]
% multiply(A,multiply(B,inverse(A),multiply(D,A,C)),inverse(multiply(D,A,C)))
% <->
% multiply(A,multiply(B,inverse(multiply(A,multiply(inverse(C),inverse(
% multiply(D,A,E)),E),D)),D),
% inverse(multiply(D,A,C)))
% Current number of equations to process: 4321
% Current number of ordered equations: 1
% Current number of rules: 370
% New rule produced :
% [665]
% multiply(A,multiply(B,inverse(multiply(A,multiply(inverse(C),inverse(
% multiply(D,A,E)),E),D)),D),
% inverse(multiply(D,A,C))) <->
% multiply(A,multiply(B,inverse(A),multiply(D,A,C)),inverse(multiply(D,A,C)))
% Current number of equations to process: 4321
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [666]
% multiply(inverse(A),inverse(multiply(inverse(D),inverse(A),C)),B) <->
% multiply(inverse(A),multiply(B,inverse(multiply(inverse(A),multiply(inverse(C),A,D),
% inverse(D))),inverse(D)),inverse(
% multiply(
% inverse(D),
% inverse(A),C)))
% Current number of equations to process: 4320
% Current number of ordered equations: 1
% Current number of rules: 372
% New rule produced :
% [667]
% multiply(inverse(A),multiply(B,inverse(multiply(inverse(A),multiply(inverse(C),A,D),
% inverse(D))),inverse(D)),inverse(
% multiply(
% inverse(D),
% inverse(A),C)))
% <-> multiply(inverse(A),inverse(multiply(inverse(D),inverse(A),C)),B)
% Current number of equations to process: 4320
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [668]
% multiply(multiply(A,inverse(B),C),multiply(inverse(C),inverse(A),B),multiply(
% inverse(A),
% multiply(A,
% inverse(B),C),
% inverse(B)))
% ->
% multiply(inverse(A),inverse(multiply(inverse(A),multiply(A,inverse(B),C),B)),
% multiply(A,inverse(B),C))
% Current number of equations to process: 4319
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [669]
% multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(B),D),multiply(B,
% inverse(
% multiply(
% inverse(D),B,C)),
% inverse(D)))),
% multiply(inverse(D),multiply(inverse(C),inverse(B),D),B)) -> A
% Current number of equations to process: 4322
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [670]
% multiply(A,multiply(B,inverse(A),multiply(inverse(D),A,C)),inverse(multiply(
% inverse(D),A,C)))
% <->
% multiply(A,multiply(B,inverse(multiply(A,multiply(inverse(C),inverse(A),D),
% inverse(D))),inverse(D)),inverse(multiply(
% inverse(D),A,C)))
% Current number of equations to process: 4321
% Current number of ordered equations: 1
% Current number of rules: 376
% New rule produced :
% [671]
% multiply(A,multiply(B,inverse(multiply(A,multiply(inverse(C),inverse(A),D),
% inverse(D))),inverse(D)),inverse(multiply(
% inverse(D),A,C)))
% <->
% multiply(A,multiply(B,inverse(A),multiply(inverse(D),A,C)),inverse(multiply(
% inverse(D),A,C)))
% Current number of equations to process: 4321
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [672]
% multiply(inverse(A),multiply(inverse(C),inverse(multiply(B,inverse(A),D)),D),
% inverse(B)) <->
% multiply(inverse(A),inverse(multiply(inverse(A),inverse(multiply(B,inverse(A),C)),B)),
% multiply(inverse(C),inverse(multiply(B,inverse(A),D)),D))
% Current number of equations to process: 4320
% Current number of ordered equations: 1
% Current number of rules: 378
% New rule produced :
% [673]
% multiply(inverse(A),inverse(multiply(inverse(A),inverse(multiply(B,inverse(A),C)),B)),
% multiply(inverse(C),inverse(multiply(B,inverse(A),D)),D)) <->
% multiply(inverse(A),multiply(inverse(C),inverse(multiply(B,inverse(A),D)),D),
% inverse(B))
% Current number of equations to process: 4320
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [674]
% multiply(A,inverse(multiply(B,multiply(C,inverse(B),C),multiply(B,multiply(D,
% inverse(B),
% inverse(C)),
% multiply(C,inverse(B),C)))),
% multiply(B,D,multiply(C,inverse(B),C))) -> A
% Current number of equations to process: 4318
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [675]
% multiply(A,inverse(multiply(multiply(B,C,inverse(D)),multiply(inverse(E),
% inverse(F),D),multiply(B,C,F))),
% multiply(C,multiply(F,inverse(multiply(inverse(D),F,E)),inverse(D)),B)) -> A
% Current number of equations to process: 4317
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [676]
% multiply(A,inverse(multiply(multiply(B,C,inverse(D)),inverse(multiply(
% inverse(D),E,F)),
% multiply(B,C,E))),multiply(C,multiply(E,multiply(inverse(F),
% inverse(E),D),
% inverse(D)),B)) -> A
% Current number of equations to process: 4316
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [677]
% multiply(A,multiply(inverse(B),inverse(multiply(A,inverse(multiply(inverse(C),A,D)),
% inverse(C))),inverse(C)),multiply(
% inverse(D),
% inverse(A),C))
% <->
% multiply(A,inverse(multiply(A,multiply(inverse(D),inverse(A),C),B)),multiply(
% inverse(D),
% inverse(A),C))
% Current number of equations to process: 4315
% Current number of ordered equations: 1
% Current number of rules: 383
% New rule produced :
% [678]
% multiply(A,inverse(multiply(A,multiply(inverse(D),inverse(A),C),B)),multiply(
% inverse(D),
% inverse(A),C))
% <->
% multiply(A,multiply(inverse(B),inverse(multiply(A,inverse(multiply(inverse(C),A,D)),
% inverse(C))),inverse(C)),multiply(
% inverse(D),
% inverse(A),C))
% Current number of equations to process: 4315
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [679]
% multiply(A,inverse(multiply(A,inverse(multiply(inverse(D),A,C)),B)),inverse(
% multiply(
% inverse(D),A,C)))
% <->
% multiply(A,multiply(inverse(B),inverse(multiply(A,multiply(inverse(C),
% inverse(A),D),inverse(D))),
% inverse(D)),inverse(multiply(inverse(D),A,C)))
% Current number of equations to process: 4314
% Current number of ordered equations: 1
% Current number of rules: 385
% New rule produced :
% [680]
% multiply(A,multiply(inverse(B),inverse(multiply(A,multiply(inverse(C),
% inverse(A),D),inverse(D))),
% inverse(D)),inverse(multiply(inverse(D),A,C))) <->
% multiply(A,inverse(multiply(A,inverse(multiply(inverse(D),A,C)),B)),inverse(
% multiply(
% inverse(D),A,C)))
% Current number of equations to process: 4314
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [681]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,inverse(E),F)),F),
% multiply(inverse(D),B,inverse(E)))),multiply(B,multiply(
% inverse(E),
% multiply(C,
% inverse(D),E),D),
% inverse(D))) -> A
% Current number of equations to process: 4313
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [682]
% multiply(B,B,multiply(B,B,multiply(C,inverse(multiply(B,B,A)),A))) ->
% multiply(B,B,C)
% Current number of equations to process: 4312
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [683]
% multiply(A,inverse(multiply(B,inverse(multiply(C,B,D)),E)),multiply(B,
% multiply(E,
% inverse(multiply(B,
% multiply(
% inverse(D),
% inverse(
% multiply(C,B,F)),F),C)),C),
% inverse(multiply(C,B,D))))
% -> A
% Current number of equations to process: 4311
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [684]
% multiply(A,inverse(multiply(B,C,multiply(B,inverse(multiply(D,E,multiply(D,E,F))),G))),
% multiply(inverse(multiply(D,E,multiply(D,E,F))),multiply(G,C,multiply(E,F,D)),B))
% -> A
% Current number of equations to process: 4309
% Current number of ordered equations: 1
% Current number of rules: 390
% New rule produced :
% [685]
% multiply(A,inverse(multiply(B,C,multiply(B,inverse(multiply(D,E,multiply(D,E,F))),G))),
% multiply(inverse(multiply(D,E,multiply(D,E,F))),multiply(multiply(E,F,D),C,G),B))
% -> A
% Current number of equations to process: 4309
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [686]
% multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(D,B,E)),E),
% multiply(B,inverse(multiply(D,B,C)),D))),multiply(B,D,
% multiply(
% inverse(C),
% inverse(multiply(D,B,E)),E)))
% -> A
% Current number of equations to process: 4298
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [687]
% multiply(A,inverse(multiply(inverse(D),multiply(B,inverse(multiply(inverse(D),
% multiply(B,
% inverse(multiply(B,
% multiply(
% inverse(C),
% inverse(
% multiply(D,B,E)),E),D)),D),
% multiply(B,
% multiply(inverse(C),
% inverse(multiply(D,B,E)),E),D))),
% multiply(B,inverse(multiply(D,B,C)),F)),
% multiply(B,multiply(inverse(C),inverse(multiply(D,B,E)),E),D))),
% multiply(B,F,inverse(multiply(D,B,C)))) -> A
% Current number of equations to process: 4297
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [688]
% multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(D,B,E)),E),D)),
% multiply(B,multiply(F,inverse(multiply(B,inverse(multiply(D,B,C)),F)),D),
% inverse(multiply(D,B,C)))) -> A
% Current number of equations to process: 4295
% Current number of ordered equations: 1
% Current number of rules: 394
% New rule produced :
% [689]
% multiply(A,inverse(multiply(B,inverse(multiply(C,B,D)),E)),multiply(B,
% multiply(C,
% inverse(multiply(B,
% multiply(
% inverse(D),
% inverse(
% multiply(C,B,F)),F),C)),E),
% inverse(multiply(C,B,D))))
% -> A
% Current number of equations to process: 4295
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [690]
% multiply(inverse(multiply(A,B,multiply(inverse(C),A,D))),multiply(E,F,
% multiply(A,multiply(D,B,C),
% inverse(C))),
% inverse(F)) <->
% multiply(inverse(multiply(A,B,multiply(inverse(C),A,D))),multiply(E,multiply(A,B,
% multiply(
% inverse(C),A,D)),F),
% inverse(F))
% Current number of equations to process: 4293
% Current number of ordered equations: 1
% Current number of rules: 396
% New rule produced :
% [691]
% multiply(inverse(multiply(A,B,multiply(inverse(C),A,D))),multiply(E,multiply(A,B,
% multiply(
% inverse(C),A,D)),F),
% inverse(F)) <->
% multiply(inverse(multiply(A,B,multiply(inverse(C),A,D))),multiply(E,F,
% multiply(A,multiply(D,B,C),
% inverse(C))),
% inverse(F))
% Current number of equations to process: 4293
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [692]
% multiply(A,inverse(multiply(inverse(multiply(B,inverse(C),D)),E,multiply(
% inverse(C),
% multiply(
% inverse(D),
% inverse(B),C),B))),
% multiply(inverse(C),multiply(B,E,C),inverse(multiply(B,inverse(C),D)))) -> A
% Current number of equations to process: 4291
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [693]
% multiply(A,inverse(multiply(inverse(multiply(B,C,D)),E,inverse(F))),multiply(
% inverse(
% multiply(B,C,D)),
% multiply(
% multiply(C,
% multiply(D,
% inverse(
% multiply(B,C,G)),G),B),E,F),
% inverse(F)))
% -> A
% Current number of equations to process: 4290
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [694]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,multiply(inverse(E),C,F))),B)),
% multiply(inverse(multiply(C,D,multiply(inverse(E),C,F))),multiply(C,multiply(F,D,E),
% inverse(E)),B)) -> A
% Current number of equations to process: 4289
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [695]
% multiply(A,inverse(multiply(inverse(multiply(inverse(B),C,D)),E,inverse(F))),
% multiply(inverse(multiply(inverse(B),C,D)),multiply(multiply(C,multiply(D,
% inverse(C),B),
% inverse(B)),E,F),
% inverse(F))) -> A
% Current number of equations to process: 4288
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [696]
% multiply(A,inverse(multiply(inverse(multiply(B,C,D)),E,inverse(F))),multiply(
% inverse(
% multiply(B,C,D)),
% multiply(
% multiply(C,
% multiply(G,
% inverse(
% multiply(B,C,G)),D),B),E,F),
% inverse(F)))
% -> A
% Current number of equations to process: 4287
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [697]
% multiply(A,inverse(multiply(multiply(B,C,D),multiply(E,inverse(multiply(D,
% inverse(F),G)),G),
% multiply(B,C,inverse(F)))),multiply(C,multiply(inverse(F),
% multiply(E,inverse(D),F),D),B))
% -> A
% Current number of equations to process: 4286
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced :
% [698]
% multiply(A,inverse(multiply(B,C,D)),multiply(C,multiply(E,inverse(multiply(E,B,
% multiply(B,
% multiply(C,
% inverse(
% multiply(E,B,F)),F),E))),D),B))
% -> A
% Current number of equations to process: 4291
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [699]
% multiply(A,inverse(multiply(multiply(B,C,multiply(D,E,F)),inverse(multiply(F,D,
% multiply(D,
% multiply(E,
% inverse(
% multiply(F,D,G)),G),F))),
% multiply(B,C,V_7))),multiply(C,V_7,B)) -> A
% Current number of equations to process: 4294
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [700]
% multiply(A,inverse(multiply(B,C,multiply(C,inverse(multiply(B,C,D)),B))),
% multiply(C,inverse(D),B)) -> A
% Current number of equations to process: 4311
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [701]
% multiply(A,inverse(multiply(B,C,multiply(C,inverse(multiply(C,C,B)),B))),B)
% -> A
% Current number of equations to process: 4316
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [702]
% multiply(C,A,multiply(A,multiply(B,inverse(multiply(C,A,D)),D),C)) ->
% multiply(A,B,C)
% Rule
% [253]
% multiply(B,inverse(multiply(C,D,multiply(D,multiply(F,inverse(multiply(C,D,G)),G),C))),
% multiply(D,F,C)) -> B collapsed.
% Rule
% [698]
% multiply(A,inverse(multiply(B,C,D)),multiply(C,multiply(E,inverse(multiply(E,B,
% multiply(B,
% multiply(C,
% inverse(
% multiply(E,B,F)),F),E))),D),B))
% -> A collapsed.
% Rule
% [699]
% multiply(A,inverse(multiply(multiply(B,C,multiply(D,E,F)),inverse(multiply(F,D,
% multiply(D,
% multiply(E,
% inverse(
% multiply(F,D,G)),G),F))),
% multiply(B,C,V_7))),multiply(C,V_7,B)) -> A collapsed.
% Current number of equations to process: 4316
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [703]
% multiply(A,inverse(multiply(B,inverse(C),multiply(inverse(C),multiply(D,
% inverse(B),C),B))),
% multiply(inverse(C),D,B)) -> A
% Current number of equations to process: 4315
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [704]
% multiply(A,inverse(multiply(inverse(multiply(D,E,F)),multiply(B,inverse(
% multiply(
% inverse(
% multiply(D,E,F)),
% multiply(B,
% inverse(
% multiply(B,C,
% multiply(D,E,F))),
% multiply(D,E,F)),
% multiply(B,C,
% multiply(D,E,F)))),
% multiply(B,C,V_7)),
% multiply(B,C,multiply(D,E,F)))),multiply(C,V_7,B)) -> A
% Current number of equations to process: 4314
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [705]
% multiply(inverse(A),multiply(B,inverse(multiply(a,multiply(A,inverse(C),A),
% inverse(A))),a),multiply(A,inverse(C),A))
% -> multiply(inverse(A),B,multiply(A,inverse(C),A))
% Current number of equations to process: 4314
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [706]
% multiply(A,inverse(multiply(multiply(B,C,D),multiply(E,inverse(D),E),
% multiply(B,C,inverse(E)))),multiply(C,D,B)) -> A
% Current number of equations to process: 4316
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [707]
% multiply(A,inverse(multiply(B,C,multiply(inverse(D),multiply(D,inverse(B),D),E))),
% multiply(inverse(D),multiply(E,C,B),multiply(D,inverse(B),D))) -> A
% Current number of equations to process: 4314
% Current number of ordered equations: 1
% Current number of rules: 410
% New rule produced :
% [708]
% multiply(A,inverse(multiply(B,C,multiply(inverse(D),multiply(D,inverse(B),D),E))),
% multiply(inverse(D),multiply(B,C,E),multiply(D,inverse(B),D))) -> A
% Current number of equations to process: 4314
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [709]
% multiply(A,inverse(multiply(B,A,multiply(B,inverse(A),B))),multiply(B,
% inverse(A),B)) ->
% A
% Current number of equations to process: 4314
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [710]
% multiply(inverse(A),inverse(multiply(inverse(A),multiply(A,inverse(C),A),B)),
% multiply(A,inverse(C),A)) ->
% multiply(inverse(A),inverse(B),multiply(A,inverse(C),A))
% Current number of equations to process: 4314
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [711] multiply(inverse(A),multiply(inverse(B),B,A),B) -> B
% Current number of equations to process: 4314
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [712]
% multiply(inverse(A),multiply(A,inverse(C),A),B) <->
% multiply(inverse(A),B,multiply(A,inverse(C),A))
% Rule [254] multiply(inverse(C),multiply(C,inverse(A),C),A) -> A collapsed.
% Current number of equations to process: 4315
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [713] multiply(inverse(C),A,multiply(C,inverse(A),C)) -> A
% Rule
% [403]
% multiply(A,inverse(multiply(inverse(B),C,multiply(inverse(B),C,multiply(B,
% inverse(C),B)))),C)
% -> A collapsed.
% Current number of equations to process: 4314
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [714]
% multiply(inverse(multiply(A,B,inverse(C))),multiply(D,E,multiply(B,inverse(
% multiply(A,B,C)),A)),
% inverse(E)) <->
% multiply(inverse(multiply(A,B,inverse(C))),multiply(D,multiply(A,B,inverse(C)),E),
% inverse(E))
% Current number of equations to process: 4318
% Current number of ordered equations: 1
% Current number of rules: 415
% New rule produced :
% [715]
% multiply(inverse(multiply(A,B,inverse(C))),multiply(D,multiply(A,B,inverse(C)),E),
% inverse(E)) <->
% multiply(inverse(multiply(A,B,inverse(C))),multiply(D,E,multiply(B,inverse(
% multiply(A,B,C)),A)),
% inverse(E))
% Current number of equations to process: 4318
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [716]
% multiply(A,inverse(multiply(B,G,multiply(B,inverse(multiply(C,D,E)),F))),
% multiply(inverse(multiply(C,D,E)),multiply(multiply(D,multiply(E,inverse(
% multiply(C,D,V_7)),V_7),C),G,F),B))
% -> A
% Current number of equations to process: 4316
% Current number of ordered equations: 1
% Current number of rules: 417
% New rule produced :
% [717]
% multiply(A,inverse(multiply(B,C,multiply(B,inverse(multiply(D,E,F)),G))),
% multiply(inverse(multiply(D,E,F)),multiply(G,C,multiply(E,multiply(F,
% inverse(multiply(D,E,V_7)),V_7),D)),B))
% -> A
% Current number of equations to process: 4316
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced :
% [718]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),
% multiply(B,multiply(C,inverse(multiply(D,B,a)),a),D))),
% multiply(B,D,multiply(C,inverse(multiply(D,B,E)),E))) -> A
% Current number of equations to process: 4308
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [719]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),
% multiply(B,multiply(C,inverse(multiply(D,B,F)),F),D))),
% multiply(B,D,multiply(C,inverse(multiply(D,B,E)),E))) -> A
% Rule
% [718]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),
% multiply(B,multiply(C,inverse(multiply(D,B,a)),a),D))),
% multiply(B,D,multiply(C,inverse(multiply(D,B,E)),E))) -> A collapsed.
% Current number of equations to process: 4307
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [720]
% multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),D),F,
% multiply(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),D),F,
% inverse(multiply(D,B,C))))),F) -> A
% Current number of equations to process: 4305
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [721]
% multiply(A,inverse(multiply(B,C,multiply(B,inverse(multiply(inverse(D),E,F)),G))),
% multiply(inverse(multiply(inverse(D),E,F)),multiply(G,C,multiply(E,multiply(F,
% inverse(E),D),
% inverse(D))),B)) -> A
% Current number of equations to process: 4303
% Current number of ordered equations: 1
% Current number of rules: 421
% New rule produced :
% [722]
% multiply(A,inverse(multiply(B,C,multiply(B,inverse(multiply(inverse(D),E,F)),G))),
% multiply(inverse(multiply(inverse(D),E,F)),multiply(multiply(E,multiply(F,
% inverse(E),D),
% inverse(D)),C,G),B)) -> A
% Current number of equations to process: 4303
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [723]
% multiply(A,inverse(multiply(B,C,multiply(B,inverse(multiply(D,E,F)),G))),
% multiply(inverse(multiply(D,E,F)),multiply(G,C,multiply(E,multiply(V_7,
% inverse(multiply(D,E,V_7)),F),D)),B))
% -> A
% Current number of equations to process: 4289
% Current number of ordered equations: 1
% Current number of rules: 423
% New rule produced :
% [724]
% multiply(A,inverse(multiply(B,C,multiply(B,inverse(multiply(D,E,F)),G))),
% multiply(inverse(multiply(D,E,F)),multiply(multiply(E,multiply(V_7,inverse(
% multiply(D,E,V_7)),F),D),C,G),B))
% -> A
% Current number of equations to process: 4289
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced :
% [725]
% multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(multiply(D,B,C)),E),D),F,
% multiply(multiply(B,multiply(C,inverse(multiply(D,B,C)),E),D),F,
% inverse(multiply(D,B,E))))),F) -> A
% Current number of equations to process: 4286
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [726]
% multiply(inverse(multiply(A,B,multiply(inverse(C),A,D))),multiply(inverse(
% multiply(A,
% multiply(D,B,C),
% inverse(C))),
% inverse(E),multiply(A,B,
% multiply(
% inverse(C),A,D))),E)
% -> inverse(multiply(A,B,multiply(inverse(C),A,D)))
% Current number of equations to process: 4284
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced :
% [727]
% multiply(multiply(A,B,multiply(A,B,C)),inverse(multiply(inverse(multiply(B,C,A)),
% multiply(A,B,multiply(A,B,C)),D)),
% inverse(multiply(B,C,A))) ->
% multiply(multiply(A,B,multiply(A,B,C)),inverse(D),inverse(multiply(B,C,A)))
% Current number of equations to process: 4283
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [728]
% multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(B),D),E)),multiply(B,
% multiply(
% inverse(D),
% inverse(
% multiply(B,
% inverse(
% multiply(
% inverse(D),B,C)),
% inverse(D))),E),
% multiply(
% inverse(C),
% inverse(B),D)))
% -> A
% Current number of equations to process: 4282
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [729]
% multiply(A,inverse(multiply(B,inverse(multiply(inverse(C),B,D)),E)),multiply(B,
% multiply(
% inverse(C),
% inverse(
% multiply(B,
% multiply(
% inverse(D),
% inverse(B),C),
% inverse(C))),E),
% inverse(
% multiply(
% inverse(C),B,D))))
% -> A
% Current number of equations to process: 4281
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [730]
% multiply(inverse(multiply(A,B,multiply(inverse(C),A,D))),multiply(inverse(
% multiply(A,
% multiply(D,B,C),
% inverse(C))),
% multiply(A,B,
% multiply(inverse(C),A,D)),E),
% inverse(E)) -> inverse(multiply(A,B,multiply(inverse(C),A,D)))
% Current number of equations to process: 4280
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced :
% [731]
% multiply(A,inverse(multiply(B,inverse(multiply(C,B,D)),E)),multiply(B,
% multiply(C,
% inverse(multiply(C,B,
% inverse(D))),E),
% inverse(multiply(C,B,D))))
% -> A
% Current number of equations to process: 4284
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [732]
% multiply(A,inverse(multiply(multiply(B,C,multiply(D,inverse(multiply(E,D,F)),E)),
% inverse(multiply(E,D,inverse(F))),multiply(B,C,G))),
% multiply(C,G,B)) -> A
% Current number of equations to process: 4283
% Current number of ordered equations: 0
% Current number of rules: 432
% New rule produced :
% [733]
% multiply(A,inverse(multiply(B,C,multiply(B,inverse(multiply(D,E,inverse(F))),G))),
% multiply(inverse(multiply(D,E,inverse(F))),multiply(G,C,multiply(E,inverse(
% multiply(D,E,F)),D)),B))
% -> A
% Current number of equations to process: 4281
% Current number of ordered equations: 1
% Current number of rules: 433
% New rule produced :
% [734]
% multiply(A,inverse(multiply(B,C,multiply(B,inverse(multiply(D,E,inverse(F))),G))),
% multiply(inverse(multiply(D,E,inverse(F))),multiply(multiply(E,inverse(
% multiply(D,E,F)),D),C,G),B))
% -> A
% Current number of equations to process: 4281
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced :
% [735]
% multiply(A,inverse(multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),
% inverse(multiply(D,multiply(G,F,E),C)))),inverse(multiply(
% multiply(C,D,E),F,
% multiply(C,D,G))))
% -> A
% Current number of equations to process: 4280
% Current number of ordered equations: 0
% Current number of rules: 435
% New rule produced :
% [736]
% multiply(inverse(multiply(B,C,inverse(D))),multiply(multiply(C,inverse(
% multiply(B,C,D)),B),
% inverse(A),multiply(B,C,inverse(D))),A)
% -> A
% Current number of equations to process: 4281
% Current number of ordered equations: 0
% Current number of rules: 436
% New rule produced :
% [737]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,E)),inverse(multiply(E,D,C)))),
% inverse(multiply(C,D,E))) -> A
% Current number of equations to process: 4292
% Current number of ordered equations: 2
% Current number of rules: 437
% New rule produced :
% [738]
% multiply(A,inverse(multiply(multiply(B,inverse(multiply(C,B,D)),C),inverse(
% multiply(C,B,
% inverse(D))),E)),E)
% -> A
% Current number of equations to process: 4292
% Current number of ordered equations: 1
% Current number of rules: 438
% New rule produced :
% [739]
% multiply(A,inverse(B),multiply(multiply(C,inverse(multiply(D,C,E)),D),
% inverse(multiply(D,C,inverse(E))),B)) -> A
% Current number of equations to process: 4292
% Current number of ordered equations: 0
% Current number of rules: 439
% New rule produced :
% [740]
% multiply(A,inverse(multiply(B,C,inverse(D))),multiply(C,inverse(multiply(C,
% multiply(D,
% inverse(
% multiply(B,C,E)),E),B)),B))
% -> A
% Current number of equations to process: 4290
% Current number of ordered equations: 1
% Current number of rules: 440
% New rule produced :
% [741]
% multiply(A,inverse(multiply(B,C,inverse(D))),multiply(C,multiply(B,inverse(C),
% multiply(B,C,D)),
% inverse(multiply(B,C,D)))) -> A
% Current number of equations to process: 4290
% Current number of ordered equations: 0
% Current number of rules: 441
% New rule produced :
% [742]
% multiply(inverse(multiply(A,B,inverse(C))),multiply(D,inverse(E),multiply(B,
% inverse(
% multiply(A,B,C)),A)),E)
% <-> multiply(E,inverse(multiply(A,B,inverse(C))),D)
% Current number of equations to process: 4289
% Current number of ordered equations: 1
% Current number of rules: 442
% New rule produced :
% [743]
% multiply(E,inverse(multiply(A,B,inverse(C))),D) <->
% multiply(inverse(multiply(A,B,inverse(C))),multiply(D,inverse(E),multiply(B,
% inverse(
% multiply(A,B,C)),A)),E)
% Current number of equations to process: 4289
% Current number of ordered equations: 0
% Current number of rules: 443
% New rule produced :
% [744]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,E)),inverse(multiply(D,
% multiply(E,
% inverse(
% multiply(C,D,F)),F),C)))),
% inverse(multiply(C,D,E))) -> A
% Current number of equations to process: 4288
% Current number of ordered equations: 0
% Current number of rules: 444
% New rule produced :
% [745]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,multiply(C,D,E))),
% inverse(multiply(D,E,C)))),inverse(multiply(C,D,multiply(C,D,E))))
% -> A
% Current number of equations to process: 4290
% Current number of ordered equations: 0
% Current number of rules: 445
% New rule produced :
% [746]
% multiply(A,inverse(multiply(B,inverse(multiply(inverse(C),D,E)),inverse(
% multiply(D,
% multiply(E,
% inverse(D),C),
% inverse(C))))),
% inverse(multiply(inverse(C),D,E))) -> A
% Current number of equations to process: 4291
% Current number of ordered equations: 1
% Current number of rules: 446
% New rule produced :
% [747]
% multiply(A,B,multiply(inverse(multiply(C,D,inverse(E))),multiply(multiply(D,
% inverse(
% multiply(C,D,E)),C),
% multiply(C,D,
% inverse(E)),B),
% inverse(B))) -> A
% Current number of equations to process: 4291
% Current number of ordered equations: 0
% Current number of rules: 447
% New rule produced :
% [748]
% multiply(inverse(multiply(A,B,inverse(C))),multiply(inverse(multiply(B,
% inverse(multiply(A,B,C)),A)),
% inverse(D),multiply(A,B,inverse(C))),D)
% -> inverse(multiply(A,B,inverse(C)))
% Current number of equations to process: 4290
% Current number of ordered equations: 0
% Current number of rules: 448
% New rule produced :
% [749]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,E)),inverse(multiply(D,
% multiply(F,
% inverse(
% multiply(C,D,F)),E),C)))),
% inverse(multiply(C,D,E))) -> A
% Current number of equations to process: 4292
% Current number of ordered equations: 0
% Current number of rules: 449
% New rule produced :
% [750]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,inverse(E))),B)),multiply(
% inverse(
% multiply(C,D,
% inverse(E))),
% multiply(D,
% inverse(
% multiply(C,D,E)),C),B))
% -> A
% Current number of equations to process: 4291
% Current number of ordered equations: 0
% Current number of rules: 450
% New rule produced :
% [751]
% multiply(inverse(multiply(A,B,inverse(C))),multiply(inverse(multiply(B,
% inverse(multiply(A,B,C)),A)),
% multiply(A,B,inverse(C)),D),
% inverse(D)) -> inverse(multiply(A,B,inverse(C)))
% Current number of equations to process: 4300
% Current number of ordered equations: 0
% Current number of rules: 451
% New rule produced :
% [752]
% multiply(inverse(multiply(A,B,inverse(C))),multiply(inverse(D),inverse(E),
% multiply(B,inverse(multiply(A,B,C)),A)),E)
% <->
% multiply(inverse(multiply(A,B,inverse(C))),inverse(multiply(E,inverse(
% multiply(A,B,
% inverse(C))),D)),E)
% Current number of equations to process: 4299
% Current number of ordered equations: 1
% Current number of rules: 452
% New rule produced :
% [753]
% multiply(inverse(multiply(A,B,inverse(C))),inverse(multiply(E,inverse(
% multiply(A,B,
% inverse(C))),D)),E)
% <->
% multiply(inverse(multiply(A,B,inverse(C))),multiply(inverse(D),inverse(E),
% multiply(B,inverse(multiply(A,B,C)),A)),E)
% Current number of equations to process: 4299
% Current number of ordered equations: 0
% Current number of rules: 453
% New rule produced :
% [754]
% multiply(multiply(A,inverse(B),A),multiply(inverse(A),inverse(B),inverse(A)),C)
% <->
% multiply(multiply(A,inverse(B),A),C,multiply(inverse(A),inverse(B),inverse(A)))
% Current number of equations to process: 4300
% Current number of ordered equations: 1
% Current number of rules: 454
% New rule produced :
% [755]
% multiply(multiply(A,inverse(B),A),C,multiply(inverse(A),inverse(B),inverse(A)))
% <->
% multiply(multiply(A,inverse(B),A),multiply(inverse(A),inverse(B),inverse(A)),C)
% Current number of equations to process: 4300
% Current number of ordered equations: 0
% Current number of rules: 455
% New rule produced :
% [756]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,inverse(E))),inverse(
% multiply(D,
% inverse(
% multiply(C,D,E)),C)))),
% inverse(multiply(C,D,inverse(E)))) -> A
% Current number of equations to process: 4299
% Current number of ordered equations: 0
% Current number of rules: 456
% New rule produced :
% [757]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),
% inverse(D))),multiply(B,inverse(multiply(D,B,C)),multiply(C,
% inverse(
% multiply(D,B,E)),E)))
% -> A
% Current number of equations to process: 4298
% Current number of ordered equations: 0
% Current number of rules: 457
% New rule produced :
% [758]
% multiply(A,inverse(multiply(multiply(B,inverse(multiply(C,B,D)),C),E,
% multiply(multiply(B,inverse(multiply(C,B,D)),C),E,
% inverse(multiply(C,B,inverse(D)))))),E) -> A
% Current number of equations to process: 4297
% Current number of ordered equations: 0
% Current number of rules: 458
% New rule produced :
% [759]
% multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(B),D),inverse(D))),
% multiply(B,inverse(multiply(B,inverse(multiply(inverse(D),B,C)),D)),inverse(
% multiply(
% inverse(D),B,C))))
% -> A
% Current number of equations to process: 4296
% Current number of ordered equations: 0
% Current number of rules: 459
% New rule produced :
% [760]
% multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(B),D),D)),multiply(B,
% inverse(
% multiply(B,
% inverse(
% multiply(
% inverse(D),B,C)),
% inverse(D))),
% multiply(
% inverse(C),
% inverse(B),D)))
% -> A
% Current number of equations to process: 4294
% Current number of ordered equations: 1
% Current number of rules: 460
% New rule produced :
% [761]
% multiply(A,inverse(multiply(B,inverse(multiply(inverse(C),B,D)),inverse(C))),
% multiply(B,inverse(multiply(B,multiply(inverse(D),inverse(B),C),C)),multiply(
% inverse(D),
% inverse(B),C)))
% -> A
% Current number of equations to process: 4294
% Current number of ordered equations: 0
% Current number of rules: 461
% New rule produced :
% [762]
% multiply(A,inverse(multiply(B,inverse(multiply(inverse(C),B,D)),C)),multiply(B,
% inverse(
% multiply(B,
% multiply(
% inverse(D),
% inverse(B),C),
% inverse(C))),
% inverse(
% multiply(
% inverse(C),B,D))))
% -> A
% Current number of equations to process: 4292
% Current number of ordered equations: 0
% Current number of rules: 462
% New rule produced :
% [763]
% multiply(A,inverse(multiply(B,inverse(multiply(C,B,D)),inverse(C))),multiply(B,
% inverse(
% multiply(B,
% multiply(
% inverse(D),
% inverse(
% multiply(C,B,E)),E),C)),
% inverse(
% multiply(C,B,D))))
% -> A
% Current number of equations to process: 4292
% Current number of ordered equations: 0
% Current number of rules: 463
% New rule produced :
% [764]
% multiply(A,inverse(B),multiply(inverse(multiply(C,D,inverse(E))),multiply(F,
% inverse(
% multiply(B,
% inverse(
% multiply(C,D,
% inverse(E))),F)),
% multiply(D,
% inverse(
% multiply(C,D,E)),C)),B))
% -> A
% Current number of equations to process: 4290
% Current number of ordered equations: 1
% Current number of rules: 464
% New rule produced :
% [765]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,inverse(E))),F)),multiply(
% inverse(
% multiply(C,D,
% inverse(E))),
% multiply(
% multiply(D,
% inverse(
% multiply(C,D,E)),C),
% inverse(B),F),B))
% -> A
% Current number of equations to process: 4290
% Current number of ordered equations: 0
% Current number of rules: 465
% New rule produced :
% [766]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,multiply(inverse(E),C,F))),
% inverse(multiply(C,multiply(F,D,E),inverse(E))))),
% inverse(multiply(C,D,multiply(inverse(E),C,F)))) -> A
% Current number of equations to process: 4289
% Current number of ordered equations: 0
% Current number of rules: 466
% New rule produced :
% [767]
% multiply(A,inverse(multiply(inverse(multiply(B,C,inverse(D))),E,inverse(F))),
% multiply(inverse(multiply(B,C,inverse(D))),multiply(multiply(C,inverse(
% multiply(B,C,D)),B),E,F),
% inverse(F))) -> A
% Current number of equations to process: 4288
% Current number of ordered equations: 0
% Current number of rules: 467
% New rule produced :
% [768]
% multiply(A,inverse(multiply(inverse(multiply(B,inverse(multiply(C,B,D)),C)),
% multiply(C,B,inverse(D)),E)),multiply(multiply(C,B,
% inverse(D)),E,
% inverse(multiply(B,inverse(
% multiply(C,B,D)),C))))
% -> A
% Current number of equations to process: 4287
% Current number of ordered equations: 0
% Current number of rules: 468
% New rule produced :
% [769]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,inverse(E))),multiply(
% inverse(
% multiply(D,
% inverse(
% multiply(C,D,E)),C)),B,F))),
% multiply(B,F,inverse(multiply(D,inverse(multiply(C,D,E)),C)))) -> A
% Current number of equations to process: 4286
% Current number of ordered equations: 0
% Current number of rules: 469
% New rule produced :
% [770]
% multiply(multiply(A,inverse(C),A),inverse(A),B) ->
% multiply(inverse(A),B,multiply(A,inverse(C),A))
% Current number of equations to process: 4314
% Current number of ordered equations: 0
% Current number of rules: 470
% New rule produced :
% [771]
% multiply(A,multiply(C,inverse(A),inverse(A)),B) <->
% multiply(A,multiply(B,inverse(multiply(A,A,C)),A),multiply(C,inverse(A),
% inverse(A)))
% Current number of equations to process: 4313
% Current number of ordered equations: 1
% Current number of rules: 471
% New rule produced :
% [772]
% multiply(A,multiply(B,inverse(multiply(A,A,C)),A),multiply(C,inverse(A),
% inverse(A))) <->
% multiply(A,multiply(C,inverse(A),inverse(A)),B)
% Current number of equations to process: 4313
% Current number of ordered equations: 0
% Current number of rules: 472
% New rule produced :
% [773]
% multiply(multiply(A,inverse(B),inverse(C)),multiply(B,multiply(C,inverse(B),C),
% inverse(A)),multiply(C,inverse(B),C))
% ->
% multiply(inverse(B),multiply(C,C,multiply(C,C,multiply(A,inverse(B),inverse(C)))),C)
% Current number of equations to process: 4330
% Current number of ordered equations: 0
% Current number of rules: 473
% New rule produced :
% [774]
% multiply(multiply(A,inverse(B),inverse(C)),multiply(D,inverse(multiply(B,
% multiply(
% inverse(B),B,C),A)),B),
% multiply(C,inverse(B),C)) <->
% multiply(multiply(C,inverse(B),C),multiply(A,inverse(B),inverse(C)),D)
% Current number of equations to process: 4330
% Current number of ordered equations: 3
% Current number of rules: 474
% New rule produced :
% [775]
% multiply(multiply(A,inverse(B),inverse(C)),multiply(D,inverse(multiply(B,
% multiply(C,
% inverse(B),C),A)),B),
% multiply(inverse(B),B,C)) <->
% multiply(multiply(C,inverse(B),C),multiply(A,inverse(B),inverse(C)),D)
% Current number of equations to process: 4330
% Current number of ordered equations: 2
% Current number of rules: 475
% New rule produced :
% [776]
% multiply(multiply(C,inverse(B),C),multiply(A,inverse(B),inverse(C)),D) <->
% multiply(multiply(A,inverse(B),inverse(C)),multiply(D,inverse(multiply(B,
% multiply(
% inverse(B),B,C),A)),B),
% multiply(C,inverse(B),C))
% Current number of equations to process: 4330
% Current number of ordered equations: 1
% Current number of rules: 476
% New rule produced :
% [777]
% multiply(multiply(C,inverse(B),C),multiply(A,inverse(B),inverse(C)),D) <->
% multiply(multiply(A,inverse(B),inverse(C)),multiply(D,inverse(multiply(B,
% multiply(C,
% inverse(B),C),A)),B),
% multiply(inverse(B),B,C))
% Current number of equations to process: 4330
% Current number of ordered equations: 0
% Current number of rules: 477
% New rule produced :
% [778]
% multiply(multiply(A,inverse(B),A),multiply(D,inverse(B),inverse(A)),C) <->
% multiply(multiply(A,inverse(B),A),multiply(C,inverse(multiply(B,multiply(A,
% inverse(B),A),D)),B),
% multiply(inverse(B),multiply(inverse(A),inverse(D),B),D))
% Current number of equations to process: 4330
% Current number of ordered equations: 1
% Current number of rules: 478
% New rule produced :
% [779]
% multiply(multiply(A,inverse(B),A),multiply(C,inverse(multiply(B,multiply(A,
% inverse(B),A),D)),B),
% multiply(inverse(B),multiply(inverse(A),inverse(D),B),D)) <->
% multiply(multiply(A,inverse(B),A),multiply(D,inverse(B),inverse(A)),C)
% Current number of equations to process: 4330
% Current number of ordered equations: 0
% Current number of rules: 479
% New rule produced :
% [780]
% multiply(multiply(C,inverse(A),C),multiply(B,inverse(A),inverse(C)),multiply(A,
% multiply(C,
% inverse(A),C),B))
% ->
% multiply(A,multiply(A,inverse(multiply(A,A,multiply(B,inverse(A),inverse(C)))),
% multiply(C,inverse(A),C)),multiply(B,inverse(A),inverse(C)))
% Current number of equations to process: 4329
% Current number of ordered equations: 0
% Current number of rules: 480
% New rule produced :
% [781]
% multiply(multiply(A,inverse(multiply(B,B,C)),inverse(B)),multiply(D,inverse(
% multiply(
% multiply(B,B,C),B,A)),
% multiply(B,B,C)),
% multiply(B,B,B)) <->
% multiply(multiply(B,B,B),multiply(A,inverse(multiply(B,B,C)),inverse(B)),D)
% Current number of equations to process: 4327
% Current number of ordered equations: 3
% Current number of rules: 481
% New rule produced :
% [782]
% multiply(A,multiply(B,inverse(multiply(multiply(A,A,C),multiply(A,A,A),D)),
% multiply(A,A,C)),multiply(D,inverse(multiply(A,A,C)),inverse(A)))
% <->
% multiply(multiply(A,A,A),multiply(D,inverse(multiply(A,A,C)),inverse(A)),B)
% Current number of equations to process: 4327
% Current number of ordered equations: 2
% Current number of rules: 482
% New rule produced :
% [783]
% multiply(multiply(A,A,A),multiply(D,inverse(multiply(A,A,C)),inverse(A)),B)
% <->
% multiply(A,multiply(B,inverse(multiply(multiply(A,A,C),multiply(A,A,A),D)),
% multiply(A,A,C)),multiply(D,inverse(multiply(A,A,C)),inverse(A)))
% Current number of equations to process: 4327
% Current number of ordered equations: 1
% Current number of rules: 483
% New rule produced :
% [784]
% multiply(multiply(B,B,B),multiply(A,inverse(multiply(B,B,C)),inverse(B)),D)
% <->
% multiply(multiply(A,inverse(multiply(B,B,C)),inverse(B)),multiply(D,inverse(
% multiply(
% multiply(B,B,C),B,A)),
% multiply(B,B,C)),
% multiply(B,B,B))
% Current number of equations to process: 4327
% Current number of ordered equations: 0
% Current number of rules: 484
% New rule produced :
% [785]
% multiply(A,inverse(multiply(B,multiply(C,inverse(D),C),multiply(B,C,D))),
% multiply(C,D,B)) -> A
% Current number of equations to process: 4368
% Current number of ordered equations: 0
% Current number of rules: 485
% New rule produced :
% [786]
% multiply(multiply(inverse(A),A,B),multiply(C,inverse(A),inverse(B)),D) <->
% multiply(multiply(C,inverse(A),inverse(B)),multiply(D,inverse(multiply(A,
% multiply(B,
% inverse(A),B),C)),A),
% multiply(B,inverse(A),B))
% Current number of equations to process: 4367
% Current number of ordered equations: 1
% Current number of rules: 486
% New rule produced :
% [787]
% multiply(multiply(C,inverse(A),inverse(B)),multiply(D,inverse(multiply(A,
% multiply(B,
% inverse(A),B),C)),A),
% multiply(B,inverse(A),B)) <->
% multiply(multiply(inverse(A),A,B),multiply(C,inverse(A),inverse(B)),D)
% Current number of equations to process: 4367
% Current number of ordered equations: 0
% Current number of rules: 487
% New rule produced :
% [788]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(inverse(D),E,F)),F),
% multiply(B,D,E))),multiply(D,multiply(E,multiply(C,
% inverse(E),D),
% inverse(D)),B)) -> A
% Current number of equations to process: 4371
% Current number of ordered equations: 0
% Current number of rules: 488
% New rule produced :
% [789]
% multiply(multiply(C,inverse(B),inverse(A)),multiply(D,inverse(multiply(B,
% multiply(A,
% inverse(B),A),C)),B),
% multiply(A,inverse(B),A)) <->
% multiply(multiply(A,inverse(B),A),multiply(inverse(B),multiply(inverse(A),
% inverse(C),B),C),D)
% Current number of equations to process: 4370
% Current number of ordered equations: 1
% Current number of rules: 489
% New rule produced :
% [790]
% multiply(multiply(A,inverse(B),A),multiply(inverse(B),multiply(inverse(A),
% inverse(C),B),C),D) <->
% multiply(multiply(C,inverse(B),inverse(A)),multiply(D,inverse(multiply(B,
% multiply(A,
% inverse(B),A),C)),B),
% multiply(A,inverse(B),A))
% Current number of equations to process: 4370
% Current number of ordered equations: 0
% Current number of rules: 490
% New rule produced :
% [791]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,E,F)),F),
% multiply(B,inverse(D),E))),multiply(inverse(D),multiply(E,
% multiply(C,
% inverse(
% multiply(D,E,a)),a),D),B))
% -> A
% Current number of equations to process: 4369
% Current number of ordered equations: 0
% Current number of rules: 491
% New rule produced :
% [792]
% multiply(inverse(multiply(A,B,multiply(A,inverse(C),D))),multiply(E,inverse(F),
% multiply(inverse(C),
% multiply(D,B,C),A)),F)
% <->
% multiply(inverse(multiply(A,B,multiply(A,inverse(C),D))),multiply(E,inverse(F),
% multiply(A,B,
% multiply(A,inverse(C),D))),F)
% Current number of equations to process: 4368
% Current number of ordered equations: 1
% Current number of rules: 492
% New rule produced :
% [793]
% multiply(inverse(multiply(A,B,multiply(A,inverse(C),D))),multiply(E,inverse(F),
% multiply(A,B,
% multiply(A,inverse(C),D))),F)
% <->
% multiply(inverse(multiply(A,B,multiply(A,inverse(C),D))),multiply(E,inverse(F),
% multiply(inverse(C),
% multiply(D,B,C),A)),F)
% Current number of equations to process: 4368
% Current number of ordered equations: 0
% Current number of rules: 493
% New rule produced :
% [794]
% multiply(inverse(multiply(A,B,multiply(A,inverse(C),D))),multiply(E,F,
% multiply(inverse(C),
% multiply(D,B,C),A)),
% inverse(F)) <->
% multiply(inverse(multiply(A,B,multiply(A,inverse(C),D))),multiply(E,multiply(A,B,
% multiply(A,
% inverse(C),D)),F),
% inverse(F))
% Current number of equations to process: 4367
% Current number of ordered equations: 1
% Current number of rules: 494
% New rule produced :
% [795]
% multiply(inverse(multiply(A,B,multiply(A,inverse(C),D))),multiply(E,multiply(A,B,
% multiply(A,
% inverse(C),D)),F),
% inverse(F)) <->
% multiply(inverse(multiply(A,B,multiply(A,inverse(C),D))),multiply(E,F,
% multiply(inverse(C),
% multiply(D,B,C),A)),
% inverse(F))
% Current number of equations to process: 4367
% Current number of ordered equations: 0
% Current number of rules: 495
% New rule produced :
% [796]
% multiply(inverse(multiply(A,B,multiply(inverse(C),A,D))),multiply(inverse(E),
% inverse(F),multiply(A,
% multiply(D,B,C),
% inverse(C))),F)
% <->
% multiply(inverse(multiply(A,B,multiply(inverse(C),A,D))),inverse(multiply(F,
% inverse(
% multiply(A,B,
% multiply(
% inverse(C),A,D))),E)),F)
% Current number of equations to process: 4366
% Current number of ordered equations: 1
% Current number of rules: 496
% New rule produced :
% [797]
% multiply(inverse(multiply(A,B,multiply(inverse(C),A,D))),inverse(multiply(F,
% inverse(
% multiply(A,B,
% multiply(
% inverse(C),A,D))),E)),F)
% <->
% multiply(inverse(multiply(A,B,multiply(inverse(C),A,D))),multiply(inverse(E),
% inverse(F),multiply(A,
% multiply(D,B,C),
% inverse(C))),F)
% Current number of equations to process: 4366
% Current number of ordered equations: 0
% Current number of rules: 497
% New rule produced :
% [798]
% multiply(A,inverse(multiply(inverse(B),multiply(C,D,B),E)),multiply(inverse(B),
% multiply(F,
% inverse(multiply(F,D,
% multiply(F,
% inverse(B),C))),E),
% multiply(C,D,B)))
% -> A
% Current number of equations to process: 4371
% Current number of ordered equations: 0
% Current number of rules: 498
% New rule produced :
% [799]
% multiply(A,inverse(multiply(multiply(B,C,multiply(inverse(D),multiply(E,F,D),G)),
% inverse(multiply(G,F,multiply(G,inverse(D),E))),multiply(B,C,V_7))),
% multiply(C,V_7,B)) -> A
% Current number of equations to process: 4370
% Current number of ordered equations: 0
% Current number of rules: 499
% New rule produced :
% [800]
% multiply(inverse(multiply(B,C,multiply(B,inverse(D),E))),multiply(multiply(
% inverse(D),
% multiply(E,C,D),B),
% inverse(A),multiply(B,C,
% multiply(B,
% inverse(D),E))),A)
% -> A
% Current number of equations to process: 4376
% Current number of ordered equations: 0
% Current number of rules: 500
% New rule produced :
% [801]
% multiply(A,inverse(multiply(B,C,B)),multiply(inverse(D),multiply(D,C,D),B))
% -> A
% Current number of equations to process: 4385
% Current number of ordered equations: 0
% Current number of rules: 501
% New rule produced :
% [802]
% multiply(inverse(A),multiply(B,C,A),D) <->
% multiply(D,C,multiply(D,inverse(A),B))
% Rule [711] multiply(inverse(A),multiply(inverse(B),B,A),B) -> B collapsed.
% Rule
% [792]
% multiply(inverse(multiply(A,B,multiply(A,inverse(C),D))),multiply(E,inverse(F),
% multiply(inverse(C),
% multiply(D,B,C),A)),F)
% <->
% multiply(inverse(multiply(A,B,multiply(A,inverse(C),D))),multiply(E,inverse(F),
% multiply(A,B,
% multiply(A,inverse(C),D))),F)
% collapsed.
% Current number of equations to process: 4386
% Current number of ordered equations: 1
% Current number of rules: 500
% New rule produced :
% [803]
% multiply(D,C,multiply(D,inverse(A),B)) <->
% multiply(inverse(A),multiply(B,C,A),D)
% Rule
% [793]
% multiply(inverse(multiply(A,B,multiply(A,inverse(C),D))),multiply(E,inverse(F),
% multiply(A,B,
% multiply(A,inverse(C),D))),F)
% <->
% multiply(inverse(multiply(A,B,multiply(A,inverse(C),D))),multiply(E,inverse(F),
% multiply(inverse(C),
% multiply(D,B,C),A)),F)
% collapsed.
% Current number of equations to process: 4386
% Current number of ordered equations: 0
% Current number of rules: 500
% New rule produced :
% [804]
% multiply(A,inverse(multiply(B,inverse(C),multiply(B,inverse(D),C))),multiply(
% inverse(D),D,B))
% -> A
% Current number of equations to process: 4385
% Current number of ordered equations: 0
% Current number of rules: 501
% New rule produced :
% [805]
% multiply(A,inverse(B),multiply(inverse(C),multiply(D,inverse(multiply(D,
% inverse(C),B)),C),B))
% -> A
% Current number of equations to process: 4394
% Current number of ordered equations: 0
% Current number of rules: 502
% New rule produced :
% [806]
% multiply(A,inverse(multiply(B,C,multiply(inverse(D),multiply(E,inverse(B),D),B))),
% multiply(inverse(D),multiply(E,C,D),B)) -> A
% Current number of equations to process: 4393
% Current number of ordered equations: 0
% Current number of rules: 503
% New rule produced :
% [807]
% multiply(A,inverse(multiply(multiply(inverse(B),multiply(C,D,B),E),inverse(
% multiply(E,D,
% multiply(E,
% inverse(B),C))),F)),F)
% -> A
% Current number of equations to process: 4391
% Current number of ordered equations: 1
% Current number of rules: 504
% New rule produced :
% [808]
% multiply(A,inverse(B),multiply(multiply(inverse(C),multiply(D,E,C),F),
% inverse(multiply(F,E,multiply(F,inverse(C),D))),B)) ->
% A
% Current number of equations to process: 4391
% Current number of ordered equations: 0
% Current number of rules: 505
% New rule produced :
% [809]
% multiply(A,inverse(multiply(B,C,B)),multiply(inverse(multiply(D,E,F)),
% multiply(multiply(F,E,D),C,multiply(D,E,F)),B))
% -> A
% Current number of equations to process: 4390
% Current number of ordered equations: 0
% Current number of rules: 506
% New rule produced :
% [810]
% multiply(A,inverse(multiply(B,C,multiply(B,inverse(D),E))),multiply(inverse(D),
% multiply(C,
% multiply(D,
% inverse(multiply(E,C,F)),F),E),B))
% -> A
% Current number of equations to process: 4389
% Current number of ordered equations: 0
% Current number of rules: 507
% New rule produced :
% [811]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,E,F)),F),
% multiply(B,inverse(D),E))),multiply(inverse(D),multiply(D,E,C),B))
% -> A
% Current number of equations to process: 4388
% Current number of ordered equations: 0
% Current number of rules: 508
% New rule produced :
% [812]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,E)),multiply(B,inverse(
% multiply(E,D,C)),F))),
% multiply(inverse(multiply(E,D,C)),F,B)) -> A
% Current number of equations to process: 4387
% Current number of ordered equations: 0
% Current number of rules: 509
% New rule produced :
% [813]
% multiply(A,inverse(B),multiply(inverse(C),multiply(D,inverse(multiply(D,B,
% multiply(D,B,
% inverse(C)))),C),B))
% -> A
% Current number of equations to process: 4391
% Current number of ordered equations: 0
% Current number of rules: 510
% New rule produced :
% [814]
% multiply(A,inverse(multiply(B,C,multiply(inverse(D),multiply(E,C,D),B))),
% multiply(C,multiply(B,inverse(D),E),B)) -> A
% Current number of equations to process: 4399
% Current number of ordered equations: 0
% Current number of rules: 511
% New rule produced :
% [815]
% multiply(inverse(multiply(A,B,multiply(A,inverse(C),D))),multiply(E,inverse(F),
% multiply(inverse(C),
% multiply(D,B,C),A)),F)
% <-> multiply(F,inverse(multiply(A,B,multiply(A,inverse(C),D))),E)
% Current number of equations to process: 4398
% Current number of ordered equations: 1
% Current number of rules: 512
% New rule produced :
% [816]
% multiply(F,inverse(multiply(A,B,multiply(A,inverse(C),D))),E) <->
% multiply(inverse(multiply(A,B,multiply(A,inverse(C),D))),multiply(E,inverse(F),
% multiply(inverse(C),
% multiply(D,B,C),A)),F)
% Current number of equations to process: 4398
% Current number of ordered equations: 0
% Current number of rules: 513
% New rule produced :
% [817]
% multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(D),E),multiply(B,E,D))),
% multiply(E,multiply(D,inverse(multiply(inverse(E),D,C)),inverse(E)),B)) -> A
% Current number of equations to process: 4408
% Current number of ordered equations: 0
% Current number of rules: 514
% New rule produced :
% [818]
% multiply(A,inverse(multiply(B,inverse(multiply(inverse(C),D,E)),multiply(B,C,D))),
% multiply(C,multiply(D,multiply(inverse(E),inverse(D),C),inverse(C)),B)) -> A
% Current number of equations to process: 4407
% Current number of ordered equations: 0
% Current number of rules: 515
% New rule produced :
% [819]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,multiply(C,D,E))),
% multiply(B,inverse(multiply(D,E,C)),F))),multiply(
% inverse(multiply(D,E,C)),F,B))
% -> A
% Current number of equations to process: 4406
% Current number of ordered equations: 0
% Current number of rules: 516
% New rule produced :
% [820]
% multiply(A,inverse(multiply(B,C,multiply(B,multiply(inverse(D),inverse(B),E),
% inverse(E)))),multiply(B,C,multiply(B,
% inverse(multiply(
% inverse(E),B,D)),
% inverse(E)))) -> A
% Current number of equations to process: 4405
% Current number of ordered equations: 0
% Current number of rules: 517
% New rule produced :
% [821]
% multiply(A,inverse(multiply(multiply(B,inverse(C),D),B,E)),multiply(inverse(C),
% multiply(D,
% multiply(E,
% inverse(multiply(
% multiply(B,
% inverse(C),D),B,F)),F),C),B))
% -> A
% Current number of equations to process: 4404
% Current number of ordered equations: 0
% Current number of rules: 518
% New rule produced :
% [822]
% multiply(A,inverse(multiply(B,C,B)),multiply(inverse(multiply(D,E,multiply(D,E,F))),
% multiply(multiply(E,F,D),C,multiply(D,E,
% multiply(D,E,F))),B))
% -> A
% Current number of equations to process: 4403
% Current number of ordered equations: 0
% Current number of rules: 519
% New rule produced :
% [823]
% multiply(A,inverse(multiply(B,C,B)),multiply(inverse(multiply(D,E,inverse(F))),
% multiply(multiply(E,inverse(multiply(D,E,F)),D),C,
% multiply(D,E,inverse(F))),B)) -> A
% Current number of equations to process: 4405
% Current number of ordered equations: 0
% Current number of rules: 520
% New rule produced :
% [824]
% multiply(A,inverse(multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),
% multiply(inverse(V_7),B,multiply(D,multiply(G,F,E),C)))),B)
% -> A
% Current number of equations to process: 4416
% Current number of ordered equations: 0
% Current number of rules: 521
% New rule produced :
% [825]
% multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(D,E,F)),F),
% multiply(B,inverse(D),E))),multiply(inverse(D),multiply(E,
% inverse(
% multiply(D,E,C)),D),B))
% -> A
% Current number of equations to process: 4415
% Current number of ordered equations: 0
% Current number of rules: 522
% New rule produced :
% [826]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,E)),multiply(B,inverse(C),D))),
% multiply(inverse(C),multiply(D,multiply(inverse(E),inverse(multiply(C,D,F)),F),C),B))
% -> A
% Current number of equations to process: 4414
% Current number of ordered equations: 0
% Current number of rules: 523
% New rule produced :
% [827]
% multiply(A,inverse(multiply(B,C,B)),multiply(inverse(multiply(D,E,F)),
% multiply(multiply(E,multiply(F,inverse(
% multiply(D,E,G)),G),D),C,
% multiply(D,E,F)),B)) -> A
% Current number of equations to process: 4413
% Current number of ordered equations: 0
% Current number of rules: 524
% New rule produced :
% [828]
% multiply(A,inverse(multiply(B,C,B)),multiply(inverse(multiply(inverse(D),E,F)),
% multiply(multiply(E,multiply(F,inverse(E),D),
% inverse(D)),C,multiply(inverse(D),E,F)),B))
% -> A
% Current number of equations to process: 4412
% Current number of ordered equations: 0
% Current number of rules: 525
% New rule produced :
% [829]
% multiply(A,inverse(multiply(B,C,B)),multiply(inverse(multiply(D,E,F)),
% multiply(multiply(E,multiply(G,inverse(
% multiply(D,E,G)),F),D),C,
% multiply(D,E,F)),B)) -> A
% Current number of equations to process: 4411
% Current number of ordered equations: 0
% Current number of rules: 526
% New rule produced :
% [830]
% multiply(A,inverse(multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),
% multiply(B,multiply(V_7,inverse(B),V_7),multiply(D,
% multiply(G,F,E),C)))),B)
% -> A
% Current number of equations to process: 4410
% Current number of ordered equations: 0
% Current number of rules: 527
% New rule produced :
% [831]
% multiply(A,inverse(multiply(B,C,multiply(B,multiply(inverse(D),inverse(
% multiply(E,B,F)),F),E))),
% multiply(B,multiply(E,C,multiply(E,B,D)),inverse(multiply(E,B,D)))) -> A
% Current number of equations to process: 4409
% Current number of ordered equations: 0
% Current number of rules: 528
% New rule produced :
% [832]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,multiply(C,inverse(E),F))),
% inverse(multiply(inverse(E),multiply(F,D,E),C)))),
% inverse(multiply(C,D,multiply(C,inverse(E),F)))) -> A
% Current number of equations to process: 4408
% Current number of ordered equations: 0
% Current number of rules: 529
% New rule produced :
% [833]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,E,F)),F),
% multiply(B,inverse(D),E))),multiply(inverse(D),multiply(E,
% multiply(C,
% inverse(
% multiply(D,E,G)),G),D),B))
% -> A
% Rule
% [791]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,E,F)),F),
% multiply(B,inverse(D),E))),multiply(inverse(D),multiply(E,
% multiply(C,
% inverse(
% multiply(D,E,a)),a),D),B))
% -> A collapsed.
% Current number of equations to process: 4421
% Current number of ordered equations: 0
% Current number of rules: 529
% New rule produced :
% [834]
% multiply(A,inverse(multiply(multiply(inverse(B),multiply(C,D,B),E),F,
% multiply(multiply(inverse(B),multiply(C,D,B),E),F,
% inverse(multiply(E,D,multiply(E,inverse(B),C)))))),F) -> A
% Current number of equations to process: 4420
% Current number of ordered equations: 0
% Current number of rules: 530
% New rule produced :
% [835]
% multiply(A,B,multiply(inverse(multiply(C,D,multiply(C,inverse(E),F))),
% multiply(multiply(inverse(E),multiply(F,D,E),C),multiply(C,D,
% multiply(C,
% inverse(E),F)),B),
% inverse(B))) -> A
% Current number of equations to process: 4419
% Current number of ordered equations: 0
% Current number of rules: 531
% New rule produced :
% [836]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,inverse(E),F)),F),
% multiply(B,inverse(D),inverse(E)))),multiply(inverse(D),
% multiply(inverse(E),
% multiply(C,inverse(D),E),D),B))
% -> A
% Current number of equations to process: 4418
% Current number of ordered equations: 0
% Current number of rules: 532
% New rule produced :
% [837]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,multiply(C,inverse(E),F))),B)),
% multiply(inverse(multiply(C,D,multiply(C,inverse(E),F))),multiply(inverse(E),
% multiply(F,D,E),C),B))
% -> A
% Current number of equations to process: 4417
% Current number of ordered equations: 0
% Current number of rules: 533
% New rule produced :
% [838]
% multiply(inverse(multiply(A,B,multiply(A,inverse(C),D))),multiply(inverse(
% multiply(
% inverse(C),
% multiply(D,B,C),A)),
% inverse(E),multiply(A,B,
% multiply(A,
% inverse(C),D))),E)
% -> inverse(multiply(A,B,multiply(A,inverse(C),D)))
% Current number of equations to process: 4416
% Current number of ordered equations: 0
% Current number of rules: 534
% New rule produced :
% [839]
% multiply(inverse(multiply(A,B,multiply(A,inverse(C),D))),multiply(inverse(
% multiply(
% inverse(C),
% multiply(D,B,C),A)),
% multiply(A,B,
% multiply(A,inverse(C),D)),E),
% inverse(E)) -> inverse(multiply(A,B,multiply(A,inverse(C),D)))
% Current number of equations to process: 4415
% Current number of ordered equations: 0
% Current number of rules: 535
% New rule produced :
% [840]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,inverse(E))),multiply(B,
% inverse(
% multiply(D,
% inverse(
% multiply(C,D,E)),C)),F))),
% multiply(inverse(multiply(D,inverse(multiply(C,D,E)),C)),F,B)) -> A
% Current number of equations to process: 4414
% Current number of ordered equations: 0
% Current number of rules: 536
% New rule produced :
% [841]
% multiply(inverse(multiply(A,B,multiply(A,inverse(C),D))),multiply(inverse(E),
% inverse(F),multiply(
% inverse(C),
% multiply(D,B,C),A)),F)
% <->
% multiply(inverse(multiply(A,B,multiply(A,inverse(C),D))),inverse(multiply(F,
% inverse(
% multiply(A,B,
% multiply(A,
% inverse(C),D))),E)),F)
% Current number of equations to process: 4413
% Current number of ordered equations: 1
% Current number of rules: 537
% New rule produced :
% [842]
% multiply(inverse(multiply(A,B,multiply(A,inverse(C),D))),inverse(multiply(F,
% inverse(
% multiply(A,B,
% multiply(A,
% inverse(C),D))),E)),F)
% <->
% multiply(inverse(multiply(A,B,multiply(A,inverse(C),D))),multiply(inverse(E),
% inverse(F),multiply(
% inverse(C),
% multiply(D,B,C),A)),F)
% Current number of equations to process: 4413
% Current number of ordered equations: 0
% Current number of rules: 538
% New rule produced :
% [843]
% multiply(A,inverse(multiply(multiply(B,multiply(inverse(C),inverse(multiply(D,B,E)),E),D),F,
% multiply(B,inverse(multiply(D,B,C)),G))),multiply(B,
% multiply(G,F,D),
% inverse(multiply(D,B,C))))
% -> A
% Current number of equations to process: 4411
% Current number of ordered equations: 1
% Current number of rules: 539
% New rule produced :
% [844]
% multiply(A,inverse(multiply(multiply(B,inverse(multiply(C,B,D)),E),F,
% multiply(B,multiply(inverse(D),inverse(multiply(C,B,G)),G),C))),
% multiply(B,multiply(C,F,E),inverse(multiply(C,B,D)))) -> A
% Current number of equations to process: 4411
% Current number of ordered equations: 0
% Current number of rules: 540
% New rule produced :
% [845]
% multiply(A,B,multiply(inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),
% multiply(multiply(D,multiply(G,F,E),C),multiply(multiply(C,D,E),F,
% multiply(C,D,G)),B),
% inverse(B))) -> A
% Current number of equations to process: 4405
% Current number of ordered equations: 0
% Current number of rules: 541
% New rule produced :
% [846]
% multiply(A,inverse(multiply(multiply(B,C,inverse(D)),multiply(D,multiply(B,C,E),D),
% multiply(B,C,inverse(multiply(B,C,E))))),multiply(C,
% multiply(
% inverse(E),
% inverse(multiply(B,C,F)),F),B))
% -> A
% Current number of equations to process: 4404
% Current number of ordered equations: 0
% Current number of rules: 542
% New rule produced :
% [847]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(inverse(D),B,E)),E),D)),
% multiply(B,inverse(multiply(B,multiply(C,inverse(B),D),inverse(D))),multiply(C,
% inverse(
% multiply(
% inverse(D),B,E)),E)))
% -> A
% Current number of equations to process: 4402
% Current number of ordered equations: 1
% Current number of rules: 543
% New rule produced :
% [848]
% multiply(A,inverse(multiply(B,multiply(C,inverse(B),D),inverse(D))),multiply(B,
% inverse(
% multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(D),B,E)),E),D)),
% multiply(C,
% inverse(
% multiply(
% inverse(D),B,E)),E)))
% -> A
% Current number of equations to process: 4402
% Current number of ordered equations: 0
% Current number of rules: 544
% New rule produced :
% [849]
% multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(D,B,E)),E),
% inverse(D))),multiply(B,inverse(multiply(B,inverse(
% multiply(D,B,C)),D)),
% multiply(inverse(C),inverse(multiply(D,B,E)),E)))
% -> A
% Current number of equations to process: 4401
% Current number of ordered equations: 0
% Current number of rules: 545
% New rule produced :
% [850]
% multiply(A,inverse(multiply(B,C,B)),multiply(inverse(multiply(D,E,multiply(
% inverse(F),D,G))),
% multiply(multiply(D,multiply(G,E,F),
% inverse(F)),C,multiply(D,E,
% multiply(inverse(F),D,G))),B))
% -> A
% Current number of equations to process: 4400
% Current number of ordered equations: 0
% Current number of rules: 546
% New rule produced :
% [851]
% multiply(A,inverse(multiply(B,C,B)),multiply(inverse(multiply(D,E,multiply(D,
% inverse(F),G))),
% multiply(multiply(inverse(F),multiply(G,E,F),D),C,
% multiply(D,E,multiply(D,inverse(F),G))),B))
% -> A
% Current number of equations to process: 4399
% Current number of ordered equations: 0
% Current number of rules: 547
% New rule produced :
% [852]
% multiply(A,inverse(multiply(inverse(B),multiply(C,inverse(multiply(inverse(B),
% multiply(C,
% inverse(multiply(C,D,B)),B),
% multiply(C,D,B))),
% multiply(C,D,E)),multiply(C,D,B))),
% multiply(D,E,C)) -> A
% Rule
% [704]
% multiply(A,inverse(multiply(inverse(multiply(D,E,F)),multiply(B,inverse(
% multiply(
% inverse(
% multiply(D,E,F)),
% multiply(B,
% inverse(
% multiply(B,C,
% multiply(D,E,F))),
% multiply(D,E,F)),
% multiply(B,C,
% multiply(D,E,F)))),
% multiply(B,C,V_7)),
% multiply(B,C,multiply(D,E,F)))),multiply(C,V_7,B)) -> A
% collapsed.
% Current number of equations to process: 4398
% Current number of ordered equations: 0
% Current number of rules: 547
% New rule produced :
% [853]
% multiply(multiply(B,inverse(multiply(A,A,C)),inverse(A)),multiply(D,inverse(
% multiply(
% multiply(A,A,C),
% multiply(A,A,A),B)),
% multiply(A,A,C)),
% multiply(A,A,A)) ->
% multiply(A,multiply(B,inverse(multiply(A,A,C)),inverse(A)),D)
% Current number of equations to process: 4397
% Current number of ordered equations: 0
% Current number of rules: 548
% New rule produced :
% [854]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(C,multiply(D,E,F),B))),
% multiply(E,multiply(B,C,F),multiply(B,C,D))) -> A
% Current number of equations to process: 4491
% Current number of ordered equations: 0
% Current number of rules: 549
% New rule produced :
% [855]
% multiply(A,inverse(multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),
% multiply(V_7,B,multiply(D,multiply(G,F,E),C)))),B) -> A
% Rule
% [824]
% multiply(A,inverse(multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),
% multiply(inverse(V_7),B,multiply(D,multiply(G,F,E),C)))),B)
% -> A collapsed.
% Current number of equations to process: 4490
% Current number of ordered equations: 0
% Current number of rules: 549
% New rule produced :
% [856]
% multiply(A,inverse(multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),
% multiply(B,V_7,multiply(D,multiply(G,F,E),C)))),B) -> A
% Rule
% [830]
% multiply(A,inverse(multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),
% multiply(B,multiply(V_7,inverse(B),V_7),multiply(D,
% multiply(G,F,E),C)))),B)
% -> A collapsed.
% Current number of equations to process: 4489
% Current number of ordered equations: 0
% Current number of rules: 549
% New rule produced :
% [857]
% multiply(multiply(C,A,multiply(D,multiply(E,F,G),V_7)),inverse(multiply(
% multiply(V_7,D,G),F,
% multiply(V_7,D,E))),
% multiply(C,A,B)) -> multiply(A,B,C)
% Rule
% [266]
% multiply(B,inverse(multiply(multiply(C,D,multiply(E,multiply(F,G,V_7),V_8)),
% inverse(multiply(multiply(V_8,E,V_7),G,multiply(V_8,E,F))),
% multiply(C,D,V_10))),multiply(D,V_10,C)) -> B collapsed.
% Current number of equations to process: 4488
% Current number of ordered equations: 0
% Current number of rules: 549
% New rule produced :
% [858]
% multiply(A,inverse(multiply(multiply(B,C,inverse(D)),multiply(D,inverse(
% multiply(
% inverse(D),E,F)),F),
% multiply(B,C,E))),multiply(C,E,B)) -> A
% Current number of equations to process: 4490
% Current number of ordered equations: 0
% Current number of rules: 550
% New rule produced :
% [859]
% multiply(A,inverse(multiply(multiply(B,C,multiply(D,E,F)),inverse(multiply(
% multiply(F,D,E),
% inverse(G),
% multiply(F,D,G))),
% multiply(B,C,V_7))),multiply(C,V_7,B)) -> A
% Current number of equations to process: 4489
% Current number of ordered equations: 0
% Current number of rules: 551
% New rule produced :
% [860]
% multiply(A,inverse(multiply(multiply(B,C,multiply(D,multiply(E,inverse(
% multiply(E,D,F)),G),F)),
% inverse(multiply(F,D,G)),multiply(B,C,V_7))),multiply(C,V_7,B))
% -> A
% Current number of equations to process: 4488
% Current number of ordered equations: 0
% Current number of rules: 552
% New rule produced :
% [861]
% multiply(A,inverse(multiply(multiply(B,C,multiply(inverse(D),multiply(D,E,F),G)),
% inverse(multiply(G,E,multiply(G,inverse(D),F))),multiply(B,C,V_7))),
% multiply(C,V_7,B)) -> A
% Current number of equations to process: 4486
% Current number of ordered equations: 1
% Current number of rules: 553
% New rule produced :
% [862]
% multiply(A,inverse(multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),
% multiply(B,inverse(V_7),multiply(D,multiply(G,F,E),C)))),
% multiply(inverse(V_7),V_7,B)) -> A
% Current number of equations to process: 4486
% Current number of ordered equations: 0
% Current number of rules: 554
% New rule produced :
% [863]
% multiply(A,multiply(A,inverse(multiply(B,A,C)),C),multiply(A,multiply(A,
% inverse(
% multiply(B,A,C)),C),
% multiply(D,inverse(
% multiply(A,A,B)),B)))
% -> multiply(A,multiply(A,inverse(multiply(B,A,C)),C),D)
% Current number of equations to process: 4481
% Current number of ordered equations: 0
% Current number of rules: 555
% New rule produced :
% [864]
% multiply(C,multiply(inverse(A),inverse(multiply(B,C,D)),D),multiply(C,
% multiply(inverse(A),
% inverse(multiply(B,C,D)),D),
% inverse(multiply(C,
% inverse(
% multiply(B,C,A)),B))))
% -> multiply(C,multiply(inverse(A),inverse(multiply(B,C,D)),D),inverse(B))
% Current number of equations to process: 4480
% Current number of ordered equations: 0
% Current number of rules: 556
% New rule produced :
% [865]
% multiply(inverse(C),multiply(B,B,B),multiply(A,inverse(multiply(B,inverse(C),E)),E))
% <->
% multiply(inverse(C),multiply(B,B,B),multiply(A,inverse(multiply(B,inverse(C),D)),D))
% Current number of equations to process: 4478
% Current number of ordered equations: 0
% Current number of rules: 557
% New rule produced :
% [866]
% multiply(A,inverse(multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),B)),
% multiply(inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,
% multiply(G,F,E),C),B))
% -> A
% Current number of equations to process: 4477
% Current number of ordered equations: 0
% Current number of rules: 558
% New rule produced :
% [867]
% multiply(A,inverse(multiply(B,inverse(multiply(C,B,D)),multiply(B,multiply(
% inverse(D),
% inverse(
% multiply(C,B,E)),E),C))),
% multiply(C,multiply(B,inverse(C),multiply(C,B,D)),inverse(multiply(C,B,D))))
% -> A
% Current number of equations to process: 4476
% Current number of ordered equations: 0
% Current number of rules: 559
% New rule produced :
% [868]
% multiply(A,inverse(multiply(inverse(B),multiply(C,inverse(D),B),D)),multiply(
% inverse(B),
% multiply(D,
% inverse(
% multiply(C,
% inverse(
% multiply(D,
% inverse(B),E)),E)),B),
% multiply(C,
% inverse(
% multiply(D,
% inverse(B),E)),E)))
% -> A
% Current number of equations to process: 4475
% Current number of ordered equations: 0
% Current number of rules: 560
% New rule produced :
% [869]
% multiply(A,inverse(multiply(inverse(multiply(B,multiply(C,inverse(B),D),
% inverse(D))),multiply(inverse(D),B,C),E)),
% multiply(multiply(inverse(D),B,C),E,inverse(multiply(B,multiply(C,inverse(B),D),
% inverse(D))))) -> A
% Current number of equations to process: 4474
% Current number of ordered equations: 0
% Current number of rules: 561
% New rule produced :
% [870]
% multiply(A,inverse(multiply(inverse(V_7),multiply(B,inverse(multiply(
% inverse(V_7),
% multiply(B,
% inverse(multiply(
% multiply(B,
% multiply(C,D,E),F),G,V_7)),V_7),
% multiply(
% multiply(B,
% multiply(C,D,E),F),G,V_7))),
% multiply(multiply(B,multiply(C,D,E),F),G,
% inverse(multiply(multiply(F,B,E),D,
% multiply(F,B,C))))),
% multiply(multiply(B,multiply(C,D,E),F),G,V_7))),G) -> A
% Current number of equations to process: 4473
% Current number of ordered equations: 0
% Current number of rules: 562
% New rule produced :
% [871]
% multiply(A,inverse(multiply(multiply(B,multiply(inverse(C),inverse(B),D),
% inverse(D)),multiply(D,inverse(E),D),multiply(B,
% inverse(
% multiply(
% inverse(D),B,C)),E))),
% multiply(B,E,inverse(multiply(inverse(D),B,C)))) -> A
% Current number of equations to process: 4472
% Current number of ordered equations: 0
% Current number of rules: 563
% New rule produced :
% [872]
% multiply(A,inverse(multiply(B,inverse(multiply(inverse(C),D,E)),multiply(
% inverse(
% multiply(D,
% multiply(E,
% inverse(D),C),
% inverse(C))),B,F))),
% multiply(B,F,inverse(multiply(D,multiply(E,inverse(D),C),inverse(C))))) -> A
% Current number of equations to process: 4471
% Current number of ordered equations: 0
% Current number of rules: 564
% New rule produced :
% [873]
% multiply(A,inverse(multiply(multiply(B,inverse(multiply(inverse(C),B,D)),
% inverse(C)),E,multiply(B,multiply(inverse(D),
% inverse(B),C),F))),
% multiply(B,multiply(F,E,inverse(C)),multiply(inverse(D),inverse(B),C))) -> A
% Current number of equations to process: 4469
% Current number of ordered equations: 1
% Current number of rules: 565
% New rule produced :
% [874]
% multiply(A,inverse(multiply(multiply(B,multiply(inverse(C),inverse(B),D),E),F,
% multiply(B,inverse(multiply(inverse(D),B,C)),inverse(D)))),
% multiply(B,multiply(inverse(D),F,E),multiply(inverse(C),inverse(B),D))) -> A
% Current number of equations to process: 4469
% Current number of ordered equations: 0
% Current number of rules: 566
% New rule produced :
% [875]
% multiply(A,inverse(multiply(multiply(B,multiply(inverse(C),inverse(B),D),
% inverse(D)),E,multiply(B,inverse(multiply(
% inverse(D),B,C)),F))),
% multiply(B,multiply(F,E,inverse(D)),inverse(multiply(inverse(D),B,C)))) -> A
% Current number of equations to process: 4463
% Current number of ordered equations: 1
% Current number of rules: 567
% New rule produced :
% [876]
% multiply(A,inverse(multiply(multiply(B,inverse(multiply(inverse(C),B,D)),E),F,
% multiply(B,multiply(inverse(D),inverse(B),C),inverse(C)))),
% multiply(B,multiply(inverse(C),F,E),inverse(multiply(inverse(C),B,D)))) -> A
% Current number of equations to process: 4463
% Current number of ordered equations: 0
% Current number of rules: 568
% New rule produced :
% [877]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),
% inverse(D))),multiply(B,inverse(multiply(B,multiply(C,
% inverse(
% multiply(D,B,a)),a),D)),
% multiply(C,inverse(multiply(D,B,E)),E))) -> A
% Current number of equations to process: 4454
% Current number of ordered equations: 0
% Current number of rules: 569
% New rule produced :
% [878]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),
% inverse(D))),multiply(B,inverse(multiply(B,multiply(C,
% inverse(
% multiply(D,B,F)),F),D)),
% multiply(C,inverse(multiply(D,B,E)),E))) -> A
% Rule
% [877]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),
% inverse(D))),multiply(B,inverse(multiply(B,multiply(C,
% inverse(
% multiply(D,B,a)),a),D)),
% multiply(C,inverse(multiply(D,B,E)),E))) -> A
% collapsed.
% Current number of equations to process: 4453
% Current number of ordered equations: 0
% Current number of rules: 569
% New rule produced :
% [879]
% multiply(A,inverse(multiply(B,inverse(multiply(inverse(C),D,E)),multiply(B,
% inverse(
% multiply(D,
% multiply(E,
% inverse(D),C),
% inverse(C))),F))),
% multiply(inverse(multiply(D,multiply(E,inverse(D),C),inverse(C))),F,B)) -> A
% Current number of equations to process: 4451
% Current number of ordered equations: 0
% Current number of rules: 570
% New rule produced :
% [880]
% multiply(A,inverse(multiply(multiply(B,C,multiply(D,E,F)),inverse(multiply(
% multiply(F,D,
% multiply(G,V_7,V_8)),
% inverse(
% multiply(V_8,V_7,G)),
% multiply(F,D,E))),
% multiply(B,C,V_9))),multiply(C,V_9,B)) -> A
% Current number of equations to process: 4448
% Current number of ordered equations: 0
% Current number of rules: 571
% New rule produced :
% [881]
% multiply(A,inverse(multiply(multiply(B,C,inverse(D)),E,multiply(B,C,E))),
% multiply(C,E,B)) -> A
% Current number of equations to process: 4470
% Current number of ordered equations: 0
% Current number of rules: 572
% New rule produced :
% [882]
% multiply(multiply(E,A,inverse(D)),multiply(C,inverse(multiply(inverse(D),B,F)),F),
% multiply(E,A,B)) <->
% multiply(A,multiply(B,multiply(C,inverse(B),D),inverse(D)),E)
% Current number of equations to process: 4492
% Current number of ordered equations: 1
% Current number of rules: 573
% New rule produced :
% [883]
% multiply(A,multiply(B,multiply(C,inverse(B),D),inverse(D)),E) <->
% multiply(multiply(E,A,inverse(D)),multiply(C,inverse(multiply(inverse(D),B,F)),F),
% multiply(E,A,B))
% Current number of equations to process: 4492
% Current number of ordered equations: 0
% Current number of rules: 574
% New rule produced :
% [884]
% multiply(A,inverse(multiply(multiply(B,C,inverse(D)),multiply(E,inverse(
% multiply(
% inverse(D),E,F)),F),
% multiply(B,C,E))),multiply(C,E,B)) -> A
% Current number of equations to process: 4491
% Current number of ordered equations: 0
% Current number of rules: 575
% New rule produced :
% [885]
% multiply(A,inverse(multiply(multiply(B,C,inverse(D)),multiply(E,D,F),
% multiply(B,C,inverse(F)))),multiply(C,multiply(inverse(F),
% multiply(E,F,D),
% inverse(D)),B)) -> A
% Current number of equations to process: 4506
% Current number of ordered equations: 0
% Current number of rules: 576
% New rule produced :
% [886]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(inverse(D),E,F)),F),
% multiply(B,inverse(E),inverse(D)))),multiply(inverse(E),
% multiply(E,multiply(C,
% inverse(E),D),
% inverse(D)),B)) -> A
% Current number of equations to process: 4535
% Current number of ordered equations: 0
% Current number of rules: 577
% New rule produced :
% [887]
% multiply(A,inverse(multiply(multiply(B,C,D),multiply(E,inverse(D),inverse(F)),
% multiply(B,C,multiply(F,inverse(D),F)))),multiply(C,
% multiply(D,
% multiply(F,
% inverse(D),F),E),B))
% -> A
% Current number of equations to process: 4540
% Current number of ordered equations: 0
% Current number of rules: 578
% New rule produced :
% [888]
% multiply(A,inverse(multiply(multiply(B,C,D),multiply(E,inverse(multiply(D,F,G)),G),
% multiply(B,C,F))),multiply(C,multiply(F,multiply(E,
% inverse(multiply(D,F,V_7)),V_7),D),B))
% -> A
% Rule
% [269]
% multiply(A,inverse(multiply(multiply(B,C,D),multiply(E,inverse(multiply(D,F,G)),G),
% multiply(B,C,F))),multiply(C,multiply(F,multiply(E,
% inverse(multiply(D,F,a)),a),D),B))
% -> A collapsed.
% Current number of equations to process: 4580
% Current number of ordered equations: 0
% Current number of rules: 578
% New rule produced :
% [889]
% multiply(A,multiply(inverse(B),inverse(A),inverse(C)),multiply(C,inverse(A),C))
% <->
% multiply(A,multiply(a,inverse(B),multiply(a,inverse(B),inverse(multiply(A,
% multiply(C,
% inverse(A),C),a)))),
% multiply(C,inverse(A),C))
% Current number of equations to process: 4580
% Current number of ordered equations: 1
% Current number of rules: 579
% New rule produced :
% [890]
% multiply(A,multiply(a,inverse(B),multiply(a,inverse(B),inverse(multiply(A,
% multiply(C,
% inverse(A),C),a)))),
% multiply(C,inverse(A),C)) <->
% multiply(A,multiply(inverse(B),inverse(A),inverse(C)),multiply(C,inverse(A),C))
% Current number of equations to process: 4580
% Current number of ordered equations: 0
% Current number of rules: 580
% New rule produced :
% [891]
% multiply(A,multiply(a,inverse(multiply(B,A,a)),inverse(C)),B) <->
% multiply(A,multiply(a,inverse(C),multiply(a,inverse(C),inverse(multiply(B,A,a)))),B)
% Current number of equations to process: 4582
% Current number of ordered equations: 1
% Current number of rules: 581
% New rule produced :
% [892]
% multiply(A,multiply(a,inverse(C),multiply(a,inverse(C),inverse(multiply(B,A,a)))),B)
% <-> multiply(A,multiply(a,inverse(multiply(B,A,a)),inverse(C)),B)
% Current number of equations to process: 4582
% Current number of ordered equations: 0
% Current number of rules: 582
% Rule [679]
% multiply(A,inverse(multiply(A,inverse(multiply(inverse(D),A,C)),B)),
% inverse(multiply(inverse(D),A,C))) <->
% multiply(A,multiply(inverse(B),inverse(multiply(A,multiply(inverse(C),
% inverse(A),D),
% inverse(D))),inverse(D)),
% inverse(multiply(inverse(D),A,C))) is composed into [679]
% multiply(A,inverse(
% multiply(A,
% inverse(
% multiply(
% inverse(D),A,C)),B)),
% inverse(multiply(
% inverse(D),A,C)))
% <->
% multiply(A,multiply(
% inverse(B),
% inverse(
% multiply(A,
% multiply(a,
% inverse(C),
% multiply(a,
% inverse(C),
% inverse(
% multiply(a,A,
% inverse(D))))),
% inverse(D))),
% inverse(D)),
% inverse(multiply(
% inverse(D),A,C)))
% Rule [670]
% multiply(A,multiply(B,inverse(A),multiply(inverse(D),A,C)),inverse(
% multiply(
% inverse(D),A,C)))
% <->
% multiply(A,multiply(B,inverse(multiply(A,multiply(inverse(C),inverse(A),D),
% inverse(D))),inverse(D)),inverse(multiply(
% inverse(D),A,C))) is composed into 
% [670]
% multiply(A,multiply(B,inverse(A),multiply(inverse(D),A,C)),inverse(multiply(
% inverse(D),A,C)))
% <->
% multiply(A,multiply(B,inverse(multiply(A,multiply(a,inverse(C),multiply(a,
% inverse(C),
% inverse(
% multiply(a,A,
% inverse(D))))),
% inverse(D))),inverse(D)),inverse(multiply(
% inverse(D),A,C)))
% Rule [648]
% multiply(A,inverse(multiply(inverse(D),A,C)),B) <->
% multiply(A,multiply(B,inverse(multiply(A,multiply(inverse(C),inverse(A),D),
% inverse(D))),inverse(D)),inverse(multiply(
% inverse(D),A,C))) is composed into 
% [648]
% multiply(A,inverse(multiply(inverse(D),A,C)),B) <->
% multiply(A,multiply(B,inverse(multiply(A,multiply(a,inverse(C),multiply(a,
% inverse(C),
% inverse(
% multiply(a,A,
% inverse(D))))),
% inverse(D))),inverse(D)),inverse(multiply(
% inverse(D),A,C)))
% Rule [646]
% multiply(A,multiply(C,inverse(A),multiply(inverse(C),A,B)),inverse(
% multiply(
% inverse(C),A,B)))
% <->
% multiply(A,inverse(multiply(A,multiply(inverse(B),inverse(A),C),
% inverse(C))),inverse(multiply(inverse(C),A,B))) is composed into 
% [646]
% multiply(A,multiply(C,inverse(A),multiply(inverse(C),A,B)),inverse(multiply(
% inverse(C),A,B)))
% <->
% multiply(A,inverse(multiply(A,multiply(a,inverse(B),multiply(a,inverse(B),
% inverse(multiply(a,A,
% inverse(C))))),
% inverse(C))),inverse(multiply(inverse(C),A,B)))
% Rule [632]
% multiply(A,inverse(multiply(A,multiply(B,inverse(A),C),inverse(C))),
% inverse(C)) <-> multiply(A,multiply(inverse(B),inverse(A),C),inverse(C)) is composed into 
% [632]
% multiply(A,inverse(multiply(A,multiply(B,inverse(A),C),inverse(C))),inverse(C))
% <->
% multiply(A,multiply(a,inverse(B),multiply(a,inverse(B),inverse(multiply(a,A,
% inverse(C))))),
% inverse(C))
% Rule [251]
% multiply(A,inverse(multiply(inverse(B),A,C)),inverse(B)) <->
% multiply(A,multiply(inverse(C),inverse(A),B),inverse(B)) is composed into 
% [251]
% multiply(A,inverse(multiply(inverse(B),A,C)),inverse(B)) ->
% multiply(A,multiply(a,inverse(C),multiply(a,inverse(C),inverse(multiply(a,A,
% inverse(B))))),
% inverse(B))
% New rule produced :
% [893]
% multiply(A,multiply(inverse(B),inverse(A),C),inverse(C)) ->
% multiply(A,multiply(a,inverse(B),multiply(a,inverse(B),inverse(multiply(a,A,
% inverse(C))))),
% inverse(C))
% Rule
% [250]
% multiply(A,multiply(inverse(C),inverse(A),B),inverse(B)) <->
% multiply(A,inverse(multiply(inverse(B),A,C)),inverse(B)) collapsed.
% Rule
% [617]
% multiply(A,inverse(multiply(B,inverse(multiply(inverse(C),B,D)),inverse(C))),
% multiply(B,multiply(inverse(D),inverse(B),C),inverse(C))) -> A collapsed.
% Rule
% [627]
% multiply(A,multiply(inverse(B),inverse(A),C),inverse(C)) <->
% multiply(A,multiply(inverse(C),inverse(A),multiply(inverse(C),A,B)),inverse(
% multiply(
% inverse(C),A,B)))
% collapsed.
% Rule
% [628]
% multiply(A,multiply(inverse(C),inverse(A),multiply(inverse(C),A,B)),inverse(
% multiply(
% inverse(C),A,B)))
% <-> multiply(A,multiply(inverse(B),inverse(A),C),inverse(C)) collapsed.
% Rule
% [631]
% multiply(A,multiply(inverse(B),inverse(A),C),inverse(C)) <->
% multiply(A,inverse(multiply(A,multiply(B,inverse(A),C),inverse(C))),inverse(C))
% collapsed.
% Rule
% [634]
% multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(B),D),inverse(D))),
% multiply(inverse(D),inverse(multiply(inverse(D),B,C)),B)) -> A collapsed.
% Rule
% [635]
% multiply(A,inverse(multiply(inverse(B),inverse(multiply(inverse(B),C,D)),C)),
% multiply(C,multiply(inverse(D),inverse(C),B),inverse(B))) -> A collapsed.
% Rule
% [636]
% multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(B),D),inverse(D))),
% multiply(B,inverse(multiply(inverse(D),B,C)),inverse(D))) -> A collapsed.
% Rule
% [647]
% multiply(A,inverse(multiply(A,multiply(inverse(B),inverse(A),C),inverse(C))),
% inverse(multiply(inverse(C),A,B))) <->
% multiply(A,multiply(C,inverse(A),multiply(inverse(C),A,B)),inverse(multiply(
% inverse(C),A,B)))
% collapsed.
% Rule
% [649]
% multiply(A,multiply(B,inverse(multiply(A,multiply(inverse(C),inverse(A),D),
% inverse(D))),inverse(D)),inverse(multiply(
% inverse(D),A,C)))
% <-> multiply(A,inverse(multiply(inverse(D),A,C)),B) collapsed.
% Rule
% [650]
% multiply(A,inverse(multiply(inverse(B),C,multiply(inverse(B),C,inverse(
% multiply(
% inverse(B),C,D))))),
% multiply(C,multiply(inverse(D),inverse(C),B),inverse(B))) -> A collapsed.
% Rule
% [653]
% multiply(A,inverse(multiply(B,multiply(inverse(B),C,D),C)),multiply(B,
% multiply(C,
% multiply(inverse(D),
% inverse(C),B),
% inverse(B)),
% multiply(inverse(B),C,D)))
% -> A collapsed.
% Rule
% [655]
% multiply(A,inverse(multiply(B,inverse(multiply(inverse(C),D,E)),multiply(C,B,D))),
% multiply(B,multiply(D,multiply(inverse(E),inverse(D),C),inverse(C)),C)) -> A
% collapsed.
% Rule
% [671]
% multiply(A,multiply(B,inverse(multiply(A,multiply(inverse(C),inverse(A),D),
% inverse(D))),inverse(D)),inverse(multiply(
% inverse(D),A,C)))
% <->
% multiply(A,multiply(B,inverse(A),multiply(inverse(D),A,C)),inverse(multiply(
% inverse(D),A,C)))
% collapsed.
% Rule
% [676]
% multiply(A,inverse(multiply(multiply(B,C,inverse(D)),inverse(multiply(
% inverse(D),E,F)),
% multiply(B,C,E))),multiply(C,multiply(E,multiply(inverse(F),
% inverse(E),D),
% inverse(D)),B)) -> A
% collapsed.
% Rule
% [680]
% multiply(A,multiply(inverse(B),inverse(multiply(A,multiply(inverse(C),
% inverse(A),D),inverse(D))),
% inverse(D)),inverse(multiply(inverse(D),A,C))) <->
% multiply(A,inverse(multiply(A,inverse(multiply(inverse(D),A,C)),B)),inverse(
% multiply(
% inverse(D),A,C)))
% collapsed.
% Rule
% [729]
% multiply(A,inverse(multiply(B,inverse(multiply(inverse(C),B,D)),E)),multiply(B,
% multiply(
% inverse(C),
% inverse(
% multiply(B,
% multiply(
% inverse(D),
% inverse(B),C),
% inverse(C))),E),
% inverse(
% multiply(
% inverse(C),B,D))))
% -> A collapsed.
% Rule
% [759]
% multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(B),D),inverse(D))),
% multiply(B,inverse(multiply(B,inverse(multiply(inverse(D),B,C)),D)),inverse(
% multiply(
% inverse(D),B,C))))
% -> A collapsed.
% Rule
% [762]
% multiply(A,inverse(multiply(B,inverse(multiply(inverse(C),B,D)),C)),multiply(B,
% inverse(
% multiply(B,
% multiply(
% inverse(D),
% inverse(B),C),
% inverse(C))),
% inverse(
% multiply(
% inverse(C),B,D))))
% -> A collapsed.
% Rule
% [818]
% multiply(A,inverse(multiply(B,inverse(multiply(inverse(C),D,E)),multiply(B,C,D))),
% multiply(C,multiply(D,multiply(inverse(E),inverse(D),C),inverse(C)),B)) -> A
% collapsed.
% Rule
% [820]
% multiply(A,inverse(multiply(B,C,multiply(B,multiply(inverse(D),inverse(B),E),
% inverse(E)))),multiply(B,C,multiply(B,
% inverse(multiply(
% inverse(E),B,D)),
% inverse(E)))) -> A
% collapsed.
% Rule
% [871]
% multiply(A,inverse(multiply(multiply(B,multiply(inverse(C),inverse(B),D),
% inverse(D)),multiply(D,inverse(E),D),multiply(B,
% inverse(
% multiply(
% inverse(D),B,C)),E))),
% multiply(B,E,inverse(multiply(inverse(D),B,C)))) -> A collapsed.
% Rule
% [875]
% multiply(A,inverse(multiply(multiply(B,multiply(inverse(C),inverse(B),D),
% inverse(D)),E,multiply(B,inverse(multiply(
% inverse(D),B,C)),F))),
% multiply(B,multiply(F,E,inverse(D)),inverse(multiply(inverse(D),B,C)))) -> A
% collapsed.
% Rule
% [876]
% multiply(A,inverse(multiply(multiply(B,inverse(multiply(inverse(C),B,D)),E),F,
% multiply(B,multiply(inverse(D),inverse(B),C),inverse(C)))),
% multiply(B,multiply(inverse(C),F,E),inverse(multiply(inverse(C),B,D)))) -> A
% collapsed.
% Current number of equations to process: 4602
% Current number of ordered equations: 0
% Current number of rules: 559
% New rule produced :
% [894]
% multiply(A,inverse(multiply(B,multiply(a,inverse(C),multiply(a,inverse(C),
% inverse(multiply(a,B,
% inverse(D))))),
% inverse(D))),multiply(inverse(D),inverse(multiply(
% inverse(D),B,C)),B))
% -> A
% Current number of equations to process: 4599
% Current number of ordered equations: 1
% Current number of rules: 560
% New rule produced :
% [895]
% multiply(A,inverse(multiply(inverse(B),inverse(multiply(inverse(B),C,D)),C)),
% multiply(C,multiply(a,inverse(D),multiply(a,inverse(D),inverse(multiply(a,C,
% inverse(B))))),
% inverse(B))) -> A
% Current number of equations to process: 4599
% Current number of ordered equations: 0
% Current number of rules: 561
% New rule produced :
% [896]
% multiply(A,multiply(a,inverse(C),multiply(a,inverse(C),inverse(multiply(a,A,
% inverse(
% multiply(
% inverse(C),A,B)))))),
% inverse(multiply(inverse(C),A,B))) ->
% multiply(A,multiply(a,inverse(B),multiply(a,inverse(B),inverse(multiply(a,A,
% inverse(C))))),
% inverse(C))
% Current number of equations to process: 4598
% Current number of ordered equations: 0
% Current number of rules: 562
% New rule produced :
% [897]
% multiply(A,inverse(multiply(inverse(B),C,multiply(inverse(B),C,inverse(
% multiply(
% inverse(B),C,D))))),
% multiply(C,multiply(a,inverse(D),multiply(a,inverse(D),inverse(multiply(a,C,
% inverse(B))))),
% inverse(B))) -> A
% Current number of equations to process: 4595
% Current number of ordered equations: 0
% Current number of rules: 563
% New rule produced :
% [898]
% multiply(A,inverse(multiply(B,multiply(inverse(B),C,D),C)),multiply(B,
% multiply(C,
% multiply(a,
% inverse(D),
% multiply(a,
% inverse(D),
% inverse(multiply(a,C,
% inverse(B))))),
% inverse(B)),
% multiply(inverse(B),C,D)))
% -> A
% Current number of equations to process: 4594
% Current number of ordered equations: 0
% Current number of rules: 564
% New rule produced :
% [899]
% multiply(A,inverse(multiply(B,inverse(multiply(inverse(C),D,E)),multiply(C,B,D))),
% multiply(B,multiply(D,multiply(a,inverse(E),multiply(a,inverse(E),inverse(
% multiply(a,D,
% inverse(C))))),
% inverse(C)),C)) -> A
% Current number of equations to process: 4593
% Current number of ordered equations: 0
% Current number of rules: 565
% New rule produced :
% [900]
% multiply(A,inverse(multiply(B,inverse(multiply(inverse(C),D,E)),multiply(B,C,D))),
% multiply(C,multiply(D,multiply(a,inverse(E),multiply(a,inverse(E),inverse(
% multiply(a,D,
% inverse(C))))),
% inverse(C)),B)) -> A
% Current number of equations to process: 4592
% Current number of ordered equations: 0
% Current number of rules: 566
% New rule produced :
% [901]
% multiply(A,multiply(B,inverse(multiply(A,multiply(a,inverse(C),multiply(a,
% inverse(C),
% inverse(
% multiply(D,A,a)))),D)),D),
% multiply(inverse(C),inverse(multiply(D,A,E)),E)) <->
% multiply(A,multiply(inverse(C),inverse(multiply(D,A,E)),E),B)
% Current number of equations to process: 4591
% Current number of ordered equations: 1
% Current number of rules: 567
% New rule produced :
% [902]
% multiply(A,multiply(inverse(C),inverse(multiply(D,A,E)),E),B) <->
% multiply(A,multiply(B,inverse(multiply(A,multiply(a,inverse(C),multiply(a,
% inverse(C),
% inverse(
% multiply(D,A,a)))),D)),D),
% multiply(inverse(C),inverse(multiply(D,A,E)),E))
% Current number of equations to process: 4591
% Current number of ordered equations: 0
% Current number of rules: 568
% New rule produced :
% [903]
% multiply(C,inverse(multiply(C,multiply(A,inverse(multiply(inverse(B),C,D)),D),B)),
% multiply(A,inverse(multiply(inverse(B),C,D)),D)) <->
% multiply(inverse(B),multiply(C,inverse(multiply(A,inverse(multiply(inverse(B),C,E)),E)),B),
% multiply(A,inverse(multiply(inverse(B),C,E)),E))
% Current number of equations to process: 4590
% Current number of ordered equations: 1
% Current number of rules: 569
% New rule produced :
% [904]
% multiply(inverse(B),multiply(C,inverse(multiply(A,inverse(multiply(inverse(B),C,E)),E)),B),
% multiply(A,inverse(multiply(inverse(B),C,E)),E)) <->
% multiply(C,inverse(multiply(C,multiply(A,inverse(multiply(inverse(B),C,D)),D),B)),
% multiply(A,inverse(multiply(inverse(B),C,D)),D))
% Current number of equations to process: 4590
% Current number of ordered equations: 0
% Current number of rules: 570
% New rule produced :
% [905]
% multiply(C,multiply(A,inverse(multiply(B,C,D)),D),multiply(C,multiply(A,
% inverse(
% multiply(B,C,D)),D),
% inverse(multiply(C,
% multiply(A,
% inverse(multiply(B,C,D)),D),E))))
% -> multiply(C,multiply(A,inverse(multiply(B,C,D)),D),inverse(E))
% Current number of equations to process: 4588
% Current number of ordered equations: 0
% Current number of rules: 571
% New rule produced :
% [906]
% multiply(C,multiply(A,inverse(multiply(B,C,D)),D),multiply(C,multiply(A,
% inverse(
% multiply(B,C,D)),D),
% inverse(multiply(C,
% multiply(A,
% inverse(multiply(B,C,E)),E),B))))
% -> multiply(C,multiply(A,inverse(multiply(B,C,D)),D),inverse(B))
% Current number of equations to process: 4587
% Current number of ordered equations: 0
% Current number of rules: 572
% New rule produced :
% [907]
% multiply(C,multiply(A,inverse(multiply(inverse(B),C,D)),D),multiply(C,
% multiply(A,
% inverse(multiply(
% inverse(B),C,D)),D),
% inverse(multiply(C,
% multiply(A,
% inverse(C),B),
% inverse(B)))))
% -> multiply(C,multiply(A,inverse(multiply(inverse(B),C,D)),D),B)
% Current number of equations to process: 4585
% Current number of ordered equations: 0
% Current number of rules: 573
% New rule produced :
% [908]
% multiply(B,inverse(multiply(D,C,multiply(D,C,multiply(E,F,G)))),multiply(C,
% multiply(F,
% multiply(G,
% inverse(
% multiply(E,F,V_8)),V_8),E),D))
% -> B
% Current number of equations to process: 4584
% Current number of ordered equations: 0
% Current number of rules: 574
% New rule produced :
% [909]
% multiply(B,multiply(A,A,A),inverse(multiply(A,B,C))) <->
% multiply(B,multiply(A,A,A),multiply(inverse(C),inverse(multiply(A,B,E)),E))
% Current number of equations to process: 4581
% Current number of ordered equations: 3
% Current number of rules: 575
% New rule produced :
% [910]
% multiply(B,multiply(A,A,A),multiply(inverse(C),inverse(multiply(A,B,E)),E))
% <-> multiply(B,multiply(A,A,A),inverse(multiply(A,B,C)))
% Current number of equations to process: 4581
% Current number of ordered equations: 2
% Current number of rules: 576
% New rule produced :
% [911]
% multiply(C,multiply(B,B,B),multiply(inverse(A),inverse(multiply(B,C,E)),E))
% <->
% multiply(C,multiply(B,B,B),multiply(inverse(A),inverse(multiply(B,C,D)),D))
% Current number of equations to process: 4581
% Current number of ordered equations: 0
% Current number of rules: 577
% New rule produced :
% [912]
% multiply(C,multiply(inverse(A),inverse(multiply(B,C,D)),D),E) <->
% multiply(C,multiply(E,inverse(multiply(C,inverse(multiply(B,C,A)),B)),B),
% multiply(inverse(A),inverse(multiply(B,C,D)),D))
% Current number of equations to process: 4579
% Current number of ordered equations: 1
% Current number of rules: 578
% New rule produced :
% [913]
% multiply(C,multiply(E,inverse(multiply(C,inverse(multiply(B,C,A)),B)),B),
% multiply(inverse(A),inverse(multiply(B,C,D)),D)) <->
% multiply(C,multiply(inverse(A),inverse(multiply(B,C,D)),D),E)
% Current number of equations to process: 4579
% Current number of ordered equations: 0
% Current number of rules: 579
% New rule produced :
% [914]
% multiply(B,multiply(inverse(C),inverse(multiply(A,B,E)),E),A) <->
% multiply(B,multiply(A,A,A),inverse(multiply(A,B,C)))
% Current number of equations to process: 4577
% Current number of ordered equations: 3
% Current number of rules: 580
% New rule produced :
% [915]
% multiply(C,multiply(inverse(A),inverse(multiply(B,C,E)),E),B) <->
% multiply(C,multiply(B,B,B),multiply(inverse(A),inverse(multiply(B,C,D)),D))
% Current number of equations to process: 4577
% Current number of ordered equations: 2
% Current number of rules: 581
% New rule produced :
% [916]
% multiply(B,multiply(A,A,A),inverse(multiply(A,B,C))) <->
% multiply(B,multiply(inverse(C),inverse(multiply(A,B,E)),E),A)
% Current number of equations to process: 4577
% Current number of ordered equations: 1
% Current number of rules: 582
% New rule produced :
% [917]
% multiply(C,multiply(B,B,B),multiply(inverse(A),inverse(multiply(B,C,D)),D))
% <-> multiply(C,multiply(inverse(A),inverse(multiply(B,C,E)),E),B)
% Current number of equations to process: 4577
% Current number of ordered equations: 0
% Current number of rules: 583
% New rule produced :
% [918]
% multiply(B,inverse(multiply(A,B,C)),multiply(B,inverse(multiply(A,B,C)),
% inverse(multiply(B,multiply(inverse(C),
% inverse(multiply(A,B,D)),D),A))))
% <->
% multiply(B,inverse(multiply(A,B,C)),multiply(B,inverse(multiply(A,B,C)),
% multiply(inverse(A),inverse(B),multiply(A,B,C))))
% Current number of equations to process: 4576
% Current number of ordered equations: 1
% Current number of rules: 584
% New rule produced :
% [919]
% multiply(B,inverse(multiply(A,B,C)),multiply(B,inverse(multiply(A,B,C)),
% multiply(inverse(A),inverse(B),multiply(A,B,C))))
% <->
% multiply(B,inverse(multiply(A,B,C)),multiply(B,inverse(multiply(A,B,C)),
% inverse(multiply(B,multiply(inverse(C),
% inverse(multiply(A,B,D)),D),A))))
% Current number of equations to process: 4576
% Current number of ordered equations: 0
% Current number of rules: 585
% New rule produced :
% [920]
% multiply(A,inverse(multiply(B,multiply(B,inverse(multiply(C,D,E)),F),
% multiply(B,multiply(B,inverse(multiply(C,D,E)),F),G))),
% multiply(inverse(multiply(C,D,E)),multiply(multiply(E,D,C),G,F),B)) -> A
% Current number of equations to process: 4573
% Current number of ordered equations: 0
% Current number of rules: 586
% New rule produced :
% [921]
% multiply(A,inverse(multiply(D,multiply(B,inverse(multiply(B,D,multiply(B,
% multiply(C,
% inverse(B),D),
% inverse(D)))),
% multiply(B,multiply(C,inverse(multiply(
% inverse(D),B,E)),E),F)),
% multiply(B,multiply(C,inverse(B),D),inverse(D)))),
% multiply(B,F,multiply(C,inverse(multiply(inverse(D),B,E)),E))) -> A
% Current number of equations to process: 4572
% Current number of ordered equations: 0
% Current number of rules: 587
% New rule produced :
% [922]
% multiply(A,inverse(multiply(inverse(C),multiply(B,inverse(multiply(inverse(C),
% multiply(B,
% inverse(multiply(B,
% inverse(
% multiply(C,B,D)),C)),C),
% multiply(B,
% inverse(multiply(C,B,D)),C))),
% multiply(B,multiply(inverse(D),
% inverse(multiply(C,B,E)),E),F)),
% multiply(B,inverse(multiply(C,B,D)),C))),multiply(B,F,
% multiply(
% inverse(D),
% inverse(multiply(C,B,E)),E)))
% -> A
% Current number of equations to process: 4570
% Current number of ordered equations: 1
% Current number of rules: 588
% New rule produced :
% [923]
% multiply(A,inverse(multiply(inverse(F),multiply(B,inverse(multiply(inverse(F),
% multiply(B,
% inverse(multiply(B,
% multiply(
% inverse(C),
% inverse(
% multiply(D,B,E)),E),F)),F),
% multiply(B,
% multiply(inverse(C),
% inverse(multiply(D,B,E)),E),F))),
% multiply(B,inverse(multiply(D,B,C)),D)),
% multiply(B,multiply(inverse(C),inverse(multiply(D,B,E)),E),F))),
% multiply(B,D,multiply(inverse(C),inverse(multiply(D,B,E)),E))) -> A
% Current number of equations to process: 4570
% Current number of ordered equations: 0
% Current number of rules: 589
% New rule produced :
% [924]
% multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(D,B,E)),E),F)),
% multiply(B,multiply(D,inverse(multiply(B,inverse(multiply(D,B,C)),D)),F),
% multiply(inverse(C),inverse(multiply(D,B,E)),E))) -> A
% Current number of equations to process: 4568
% Current number of ordered equations: 1
% Current number of rules: 590
% New rule produced :
% [925]
% multiply(A,inverse(multiply(B,inverse(multiply(C,B,D)),C)),multiply(B,
% multiply(E,
% inverse(multiply(B,
% multiply(
% inverse(D),
% inverse(
% multiply(C,B,F)),F),E)),C),
% multiply(inverse(D),
% inverse(multiply(C,B,F)),F)))
% -> A
% Current number of equations to process: 4568
% Current number of ordered equations: 0
% Current number of rules: 591
% New rule produced :
% [926]
% multiply(A,inverse(multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),
% multiply(inverse(multiply(D,multiply(G,F,E),C)),B,V_7))),
% multiply(B,V_7,inverse(multiply(D,multiply(G,F,E),C)))) -> A
% Current number of equations to process: 4567
% Current number of ordered equations: 0
% Current number of rules: 592
% New rule produced :
% [927]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,multiply(inverse(E),C,F))),G)),
% multiply(inverse(multiply(C,D,multiply(inverse(E),C,F))),multiply(multiply(C,
% multiply(F,D,E),
% inverse(E)),
% inverse(B),G),B)) ->
% A
% Current number of equations to process: 4565
% Current number of ordered equations: 1
% Current number of rules: 593
% New rule produced :
% [928]
% multiply(A,inverse(B),multiply(inverse(multiply(C,D,multiply(inverse(E),C,F))),
% multiply(G,inverse(multiply(B,inverse(multiply(C,D,
% multiply(
% inverse(E),C,F))),G)),
% multiply(C,multiply(F,D,E),inverse(E))),B)) -> A
% Current number of equations to process: 4565
% Current number of ordered equations: 0
% Current number of rules: 594
% New rule produced :
% [929]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,multiply(inverse(E),C,F))),
% multiply(inverse(multiply(C,multiply(F,D,E),inverse(E))),B,G))),
% multiply(B,G,inverse(multiply(C,multiply(F,D,E),inverse(E))))) -> A
% Current number of equations to process: 4564
% Current number of ordered equations: 0
% Current number of rules: 595
% New rule produced :
% [930]
% multiply(A,inverse(multiply(B,inverse(multiply(inverse(C),B,D)),multiply(B,
% multiply(a,
% inverse(D),
% multiply(a,
% inverse(D),
% inverse(
% multiply(a,B,
% inverse(C))))),
% inverse(C)))),
% multiply(inverse(C),multiply(B,C,multiply(inverse(C),B,D)),inverse(multiply(
% inverse(C),B,D))))
% -> A
% Current number of equations to process: 4563
% Current number of ordered equations: 0
% Current number of rules: 596
% New rule produced :
% [931]
% multiply(A,inverse(multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),
% multiply(B,inverse(multiply(D,multiply(G,F,E),C)),V_7))),
% multiply(inverse(multiply(D,multiply(G,F,E),C)),V_7,B)) -> A
% Current number of equations to process: 4561
% Current number of ordered equations: 0
% Current number of rules: 597
% New rule produced :
% [932]
% multiply(A,inverse(B),multiply(inverse(multiply(C,D,multiply(C,inverse(E),F))),
% multiply(G,inverse(multiply(B,inverse(multiply(C,D,
% multiply(C,
% inverse(E),F))),G)),
% multiply(inverse(E),multiply(F,D,E),C)),B)) -> A
% Current number of equations to process: 4559
% Current number of ordered equations: 1
% Current number of rules: 598
% New rule produced :
% [933]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,multiply(C,inverse(E),F))),G)),
% multiply(inverse(multiply(C,D,multiply(C,inverse(E),F))),multiply(multiply(
% inverse(E),
% multiply(F,D,E),C),
% inverse(B),G),B)) ->
% A
% Current number of equations to process: 4559
% Current number of ordered equations: 0
% Current number of rules: 599
% New rule produced :
% [934]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,multiply(inverse(E),C,F))),
% multiply(B,inverse(multiply(C,multiply(F,D,E),inverse(E))),G))),
% multiply(inverse(multiply(C,multiply(F,D,E),inverse(E))),G,B)) -> A
% Current number of equations to process: 4557
% Current number of ordered equations: 1
% Current number of rules: 600
% New rule produced :
% [935]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,multiply(C,inverse(E),F))),
% multiply(inverse(multiply(inverse(E),multiply(F,D,E),C)),B,G))),
% multiply(B,G,inverse(multiply(inverse(E),multiply(F,D,E),C)))) -> A
% Current number of equations to process: 4557
% Current number of ordered equations: 0
% Current number of rules: 601
% New rule produced :
% [936]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,multiply(C,inverse(E),F))),
% multiply(B,inverse(multiply(inverse(E),multiply(F,D,E),C)),G))),
% multiply(inverse(multiply(inverse(E),multiply(F,D,E),C)),G,B)) -> A
% Current number of equations to process: 4556
% Current number of ordered equations: 0
% Current number of rules: 602
% New rule produced :
% [937]
% multiply(A,inverse(multiply(B,inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),
% multiply(B,inverse(multiply(C,multiply(G,F,E),D)),V_7))),
% multiply(inverse(multiply(C,multiply(G,F,E),D)),V_7,B)) -> A
% Current number of equations to process: 4554
% Current number of ordered equations: 0
% Current number of rules: 603
% New rule produced :
% [938]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(inverse(D),E,F)),F),
% multiply(B,multiply(D,inverse(B),D),E))),multiply(B,
% multiply(E,
% multiply(C,
% inverse(E),D),
% inverse(D)),
% multiply(D,
% inverse(B),D)))
% -> A
% Current number of equations to process: 4553
% Current number of ordered equations: 0
% Current number of rules: 604
% New rule produced :
% [939]
% multiply(A,inverse(multiply(multiply(B,C,inverse(D)),E,multiply(B,C,F))),
% multiply(C,multiply(F,multiply(inverse(F),multiply(D,inverse(multiply(
% inverse(D),F,E)),F),
% multiply(inverse(D),F,E)),inverse(D)),B)) -> A
% Current number of equations to process: 4552
% Current number of ordered equations: 0
% Current number of rules: 605
% New rule produced :
% [940]
% multiply(A,inverse(multiply(multiply(B,C,inverse(D)),multiply(E,inverse(
% multiply(
% inverse(D),F,G)),G),
% multiply(B,C,F))),multiply(C,multiply(F,multiply(inverse(F),
% multiply(D,
% inverse(E),F),E),
% inverse(D)),B)) -> A
% Current number of equations to process: 4550
% Current number of ordered equations: 1
% Current number of rules: 606
% New rule produced :
% [941]
% multiply(A,inverse(multiply(multiply(B,C,inverse(D)),multiply(E,inverse(
% multiply(F,
% multiply(G,
% inverse(F),D),
% inverse(D))),G),
% multiply(B,C,F))),multiply(C,multiply(F,multiply(E,
% inverse(F),D),
% inverse(D)),B)) -> A
% Current number of equations to process: 4550
% Current number of ordered equations: 0
% Current number of rules: 607
% New rule produced :
% [942]
% multiply(A,inverse(multiply(multiply(B,multiply(C,multiply(D,inverse(C),E),
% inverse(E)),F),inverse(multiply(
% multiply(F,B,
% inverse(E)),
% multiply(D,
% inverse(
% multiply(
% inverse(E),C,G)),G),
% multiply(F,B,C))),V_7)),V_7)
% -> A
% Current number of equations to process: 4548
% Current number of ordered equations: 1
% Current number of rules: 608
% New rule produced :
% [943]
% multiply(A,inverse(B),multiply(multiply(C,multiply(D,multiply(E,inverse(D),F),
% inverse(F)),G),inverse(multiply(
% multiply(G,C,
% inverse(F)),
% multiply(E,
% inverse(
% multiply(
% inverse(F),D,V_7)),V_7),
% multiply(G,C,D))),B))
% -> A
% Current number of equations to process: 4548
% Current number of ordered equations: 0
% Current number of rules: 609
% New rule produced :
% [944]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,inverse(E),F)),F),
% multiply(B,multiply(E,inverse(B),E),D))),multiply(B,
% multiply(
% inverse(E),
% multiply(C,
% inverse(D),E),D),
% multiply(E,
% inverse(B),E)))
% -> A
% Current number of equations to process: 4547
% Current number of ordered equations: 0
% Current number of rules: 610
% New rule produced :
% [945]
% multiply(A,inverse(multiply(B,A,C)),B) <->
% multiply(A,multiply(a,inverse(C),multiply(a,inverse(C),inverse(multiply(B,A,a)))),B)
% Current number of equations to process: 4563
% Current number of ordered equations: 1
% Current number of rules: 611
% New rule produced :
% [946]
% multiply(A,multiply(a,inverse(C),multiply(a,inverse(C),inverse(multiply(B,A,a)))),B)
% <-> multiply(A,inverse(multiply(B,A,C)),B)
% Current number of equations to process: 4563
% Current number of ordered equations: 0
% Current number of rules: 612
% New rule produced :
% [947]
% multiply(inverse(A),multiply(a,inverse(A),multiply(a,inverse(A),inverse(
% multiply(B,
% inverse(A),a)))),B)
% -> inverse(A)
% Current number of equations to process: 4565
% Current number of ordered equations: 0
% Current number of rules: 613
% New rule produced : [948] multiply(a,inverse(A),inverse(A)) -> inverse(A)
% Current number of equations to process: 4568
% Current number of ordered equations: 0
% Current number of rules: 614
% New rule produced :
% [949]
% multiply(inverse(A),multiply(inverse(B),inverse(C),A),C) <->
% multiply(inverse(A),multiply(a,inverse(B),multiply(a,inverse(B),inverse(
% multiply(C,
% inverse(A),a)))),C)
% Current number of equations to process: 4567
% Current number of ordered equations: 1
% Current number of rules: 615
% New rule produced :
% [950]
% multiply(inverse(A),multiply(a,inverse(B),multiply(a,inverse(B),inverse(
% multiply(C,
% inverse(A),a)))),C)
% <-> multiply(inverse(A),multiply(inverse(B),inverse(C),A),C)
% Current number of equations to process: 4567
% Current number of ordered equations: 0
% Current number of rules: 616
% New rule produced :
% [951]
% multiply(A,inverse(multiply(B,C,inverse(D))),multiply(C,multiply(a,inverse(D),
% multiply(a,inverse(D),
% inverse(multiply(B,C,a)))),B))
% -> A
% Current number of equations to process: 4566
% Current number of ordered equations: 0
% Current number of rules: 617
% New rule produced :
% [952]
% multiply(B,multiply(a,inverse(C),multiply(a,inverse(C),inverse(multiply(A,B,a)))),A)
% <-> multiply(A,B,inverse(C))
% Current number of equations to process: 4568
% Current number of ordered equations: 1
% Current number of rules: 618
% New rule produced :
% [953]
% multiply(A,B,inverse(C)) <->
% multiply(B,multiply(a,inverse(C),multiply(a,inverse(C),inverse(multiply(A,B,a)))),A)
% Current number of equations to process: 4568
% Current number of ordered equations: 0
% Current number of rules: 619
% New rule produced :
% [954]
% multiply(A,multiply(inverse(B),inverse(multiply(A,multiply(C,inverse(
% multiply(D,A,E)),E),D)),C),D)
% <->
% multiply(A,multiply(a,inverse(B),multiply(a,inverse(B),inverse(multiply(D,A,a)))),D)
% Current number of equations to process: 4570
% Current number of ordered equations: 1
% Current number of rules: 620
% New rule produced :
% [955]
% multiply(A,multiply(a,inverse(B),multiply(a,inverse(B),inverse(multiply(D,A,a)))),D)
% <->
% multiply(A,multiply(inverse(B),inverse(multiply(A,multiply(C,inverse(
% multiply(D,A,E)),E),D)),C),D)
% Current number of equations to process: 4570
% Current number of ordered equations: 0
% Current number of rules: 621
% New rule produced :
% [956]
% multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(B,D,E)),E),D)),
% multiply(D,multiply(a,inverse(C),multiply(a,inverse(C),inverse(multiply(B,D,a)))),B))
% -> A
% Current number of equations to process: 4575
% Current number of ordered equations: 1
% Current number of rules: 622
% New rule produced :
% [957]
% multiply(A,inverse(multiply(B,multiply(a,inverse(C),multiply(a,inverse(C),
% inverse(multiply(D,B,a)))),D)),
% multiply(D,multiply(inverse(C),inverse(multiply(D,B,E)),E),B)) -> A
% Current number of equations to process: 4575
% Current number of ordered equations: 0
% Current number of rules: 623
% New rule produced :
% [958]
% multiply(A,inverse(multiply(B,multiply(a,inverse(C),multiply(a,inverse(C),
% inverse(multiply(D,B,a)))),D)),
% multiply(B,multiply(inverse(C),inverse(multiply(D,B,E)),E),D)) -> A
% Current number of equations to process: 4574
% Current number of ordered equations: 0
% Current number of rules: 624
% New rule produced :
% [959]
% multiply(inverse(multiply(A,B,C)),multiply(a,inverse(D),multiply(a,inverse(D),
% inverse(multiply(E,
% inverse(
% multiply(A,B,C)),a)))),E)
% <->
% multiply(inverse(multiply(A,B,C)),multiply(inverse(D),inverse(E),multiply(C,B,A)),E)
% Current number of equations to process: 4579
% Current number of ordered equations: 1
% Current number of rules: 625
% New rule produced :
% [960]
% multiply(inverse(multiply(A,B,C)),multiply(inverse(D),inverse(E),multiply(C,B,A)),E)
% <->
% multiply(inverse(multiply(A,B,C)),multiply(a,inverse(D),multiply(a,inverse(D),
% inverse(multiply(E,
% inverse(
% multiply(A,B,C)),a)))),E)
% Current number of equations to process: 4579
% Current number of ordered equations: 0
% Current number of rules: 626
% New rule produced :
% [961]
% multiply(inverse(A),multiply(inverse(A),multiply(a,B,multiply(a,B,inverse(
% multiply(a,
% inverse(A),
% inverse(B))))),
% inverse(B)),inverse(B)) ->
% multiply(inverse(A),multiply(a,inverse(A),multiply(a,inverse(A),inverse(
% multiply(a,
% inverse(A),
% inverse(B))))),
% inverse(B))
% Current number of equations to process: 4578
% Current number of ordered equations: 0
% Current number of rules: 627
% New rule produced :
% [962]
% multiply(A,multiply(inverse(B),inverse(multiply(C,A,D)),D),inverse(C)) <->
% multiply(A,inverse(multiply(A,multiply(a,inverse(B),multiply(a,inverse(B),
% inverse(multiply(C,A,a)))),C)),
% multiply(inverse(B),inverse(multiply(C,A,D)),D))
% Current number of equations to process: 4584
% Current number of ordered equations: 1
% Current number of rules: 628
% New rule produced :
% [963]
% multiply(A,inverse(multiply(A,multiply(a,inverse(B),multiply(a,inverse(B),
% inverse(multiply(C,A,a)))),C)),
% multiply(inverse(B),inverse(multiply(C,A,D)),D)) <->
% multiply(A,multiply(inverse(B),inverse(multiply(C,A,D)),D),inverse(C))
% Current number of equations to process: 4584
% Current number of ordered equations: 0
% Current number of rules: 629
% New rule produced :
% [964]
% multiply(A,inverse(multiply(B,C,multiply(B,C,multiply(inverse(D),inverse(
% multiply(B,C,E)),E)))),
% multiply(C,multiply(a,inverse(D),multiply(a,inverse(D),inverse(multiply(B,C,a)))),B))
% -> A
% Current number of equations to process: 4583
% Current number of ordered equations: 0
% Current number of rules: 630
% New rule produced :
% [965]
% multiply(inverse(multiply(A,B,C)),multiply(inverse(D),inverse(E),multiply(B,
% multiply(C,
% inverse(
% multiply(A,B,F)),F),A)),E)
% <->
% multiply(inverse(multiply(A,B,C)),multiply(a,inverse(D),multiply(a,inverse(D),
% inverse(multiply(E,
% inverse(
% multiply(A,B,C)),a)))),E)
% Current number of equations to process: 4584
% Current number of ordered equations: 1
% Current number of rules: 631
% New rule produced :
% [966]
% multiply(inverse(multiply(A,B,C)),multiply(a,inverse(D),multiply(a,inverse(D),
% inverse(multiply(E,
% inverse(
% multiply(A,B,C)),a)))),E)
% <->
% multiply(inverse(multiply(A,B,C)),multiply(inverse(D),inverse(E),multiply(B,
% multiply(C,
% inverse(
% multiply(A,B,F)),F),A)),E)
% Current number of equations to process: 4584
% Current number of ordered equations: 0
% Current number of rules: 632
% New rule produced :
% [967]
% multiply(inverse(multiply(A,B,C)),multiply(inverse(D),inverse(E),multiply(B,
% multiply(F,
% inverse(
% multiply(A,B,F)),C),A)),E)
% <->
% multiply(inverse(multiply(A,B,C)),multiply(a,inverse(D),multiply(a,inverse(D),
% inverse(multiply(E,
% inverse(
% multiply(A,B,C)),a)))),E)
% Current number of equations to process: 4583
% Current number of ordered equations: 1
% Current number of rules: 633
% New rule produced :
% [968]
% multiply(inverse(multiply(A,B,C)),multiply(a,inverse(D),multiply(a,inverse(D),
% inverse(multiply(E,
% inverse(
% multiply(A,B,C)),a)))),E)
% <->
% multiply(inverse(multiply(A,B,C)),multiply(inverse(D),inverse(E),multiply(B,
% multiply(F,
% inverse(
% multiply(A,B,F)),C),A)),E)
% Current number of equations to process: 4583
% Current number of ordered equations: 0
% Current number of rules: 634
% New rule produced :
% [969]
% multiply(A,multiply(a,inverse(B),multiply(a,inverse(B),inverse(multiply(A,
% inverse(
% multiply(D,A,C)),a)))),
% inverse(multiply(D,A,C))) <->
% multiply(A,multiply(inverse(B),inverse(multiply(A,multiply(inverse(C),
% inverse(multiply(D,A,E)),E),D)),D),
% inverse(multiply(D,A,C)))
% Current number of equations to process: 4582
% Current number of ordered equations: 1
% Current number of rules: 635
% New rule produced :
% [970]
% multiply(A,multiply(inverse(B),inverse(multiply(A,multiply(inverse(C),
% inverse(multiply(D,A,E)),E),D)),D),
% inverse(multiply(D,A,C))) <->
% multiply(A,multiply(a,inverse(B),multiply(a,inverse(B),inverse(multiply(A,
% inverse(
% multiply(D,A,C)),a)))),
% inverse(multiply(D,A,C)))
% Current number of equations to process: 4582
% Current number of ordered equations: 0
% Current number of rules: 636
% New rule produced :
% [971]
% multiply(A,multiply(A,inverse(multiply(C,A,D)),D),B) <->
% multiply(A,multiply(B,inverse(multiply(A,A,C)),C),multiply(A,inverse(
% multiply(C,A,D)),D))
% Current number of equations to process: 4584
% Current number of ordered equations: 1
% Current number of rules: 637
% New rule produced :
% [972]
% multiply(A,multiply(B,inverse(multiply(A,A,C)),C),multiply(A,inverse(
% multiply(C,A,D)),D))
% <-> multiply(A,multiply(A,inverse(multiply(C,A,D)),D),B)
% Current number of equations to process: 4584
% Current number of ordered equations: 0
% Current number of rules: 638
% New rule produced :
% [973]
% multiply(A,inverse(multiply(multiply(B,C,D),multiply(E,inverse(multiply(D,E,F)),F),
% multiply(B,C,E))),multiply(C,multiply(E,E,D),B)) -> A
% Current number of equations to process: 4589
% Current number of ordered equations: 0
% Current number of rules: 639
% New rule produced :
% [974]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(B,C,D)),D),C)),
% multiply(C,C,B)) -> A
% Current number of equations to process: 4604
% Current number of ordered equations: 1
% Current number of rules: 640
% New rule produced :
% [975]
% multiply(A,inverse(multiply(B,B,C)),multiply(C,multiply(B,inverse(multiply(C,B,D)),D),B))
% -> A
% Current number of equations to process: 4604
% Current number of ordered equations: 0
% Current number of rules: 641
% New rule produced :
% [976]
% multiply(A,multiply(A,inverse(multiply(A,multiply(B,inverse(multiply(C,A,D)),D),C)),B),C)
% -> multiply(A,A,C)
% Current number of equations to process: 4603
% Current number of ordered equations: 0
% Current number of rules: 642
% New rule produced :
% [977]
% multiply(A,multiply(A,multiply(a,B,multiply(a,B,inverse(multiply(a,A,
% inverse(B))))),
% inverse(B)),inverse(B)) -> A
% Rule
% [961]
% multiply(inverse(A),multiply(inverse(A),multiply(a,B,multiply(a,B,inverse(
% multiply(a,
% inverse(A),
% inverse(B))))),
% inverse(B)),inverse(B)) ->
% multiply(inverse(A),multiply(a,inverse(A),multiply(a,inverse(A),inverse(
% multiply(a,
% inverse(A),
% inverse(B))))),
% inverse(B)) collapsed.
% Current number of equations to process: 4614
% Current number of ordered equations: 0
% Current number of rules: 642
% New rule produced :
% [978]
% multiply(inverse(A),multiply(a,inverse(A),multiply(a,inverse(A),inverse(
% multiply(a,
% inverse(A),
% inverse(B))))),
% inverse(B)) -> inverse(A)
% Current number of equations to process: 4613
% Current number of ordered equations: 0
% Current number of rules: 643
% New rule produced :
% [979]
% multiply(inverse(multiply(A,B,C)),multiply(inverse(multiply(A,B,C)),inverse(D),
% multiply(C,B,A)),D) ->
% inverse(multiply(A,B,C))
% Current number of equations to process: 4612
% Current number of ordered equations: 0
% Current number of rules: 644
% New rule produced :
% [980]
% multiply(A,inverse(multiply(B,C,multiply(B,C,multiply(C,inverse(multiply(B,C,D)),D)))),
% multiply(C,C,B)) -> A
% Current number of equations to process: 4611
% Current number of ordered equations: 0
% Current number of rules: 645
% New rule produced :
% [981]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,C,E)),E),
% multiply(inverse(D),B,C))),multiply(B,multiply(C,C,D),
% inverse(D))) -> A
% Current number of equations to process: 4622
% Current number of ordered equations: 0
% Current number of rules: 646
% New rule produced :
% [982]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,C,E)),E),
% multiply(B,inverse(D),C))),multiply(inverse(D),multiply(C,C,D),B))
% -> A
% Current number of equations to process: 4621
% Current number of ordered equations: 0
% Current number of rules: 647
% New rule produced :
% [983]
% multiply(inverse(multiply(A,B,inverse(C))),multiply(inverse(multiply(A,B,
% inverse(C))),
% inverse(D),multiply(B,inverse(
% multiply(A,B,C)),A)),D)
% -> inverse(multiply(A,B,inverse(C)))
% Current number of equations to process: 4620
% Current number of ordered equations: 0
% Current number of rules: 648
% New rule produced :
% [984]
% multiply(inverse(multiply(A,B,C)),multiply(inverse(multiply(A,B,C)),inverse(D),
% multiply(B,multiply(C,inverse(multiply(A,B,E)),E),A)),D)
% -> inverse(multiply(A,B,C))
% Current number of equations to process: 4620
% Current number of ordered equations: 0
% Current number of rules: 649
% New rule produced :
% [985]
% multiply(A,inverse(multiply(B,multiply(B,inverse(multiply(C,B,D)),D),
% multiply(B,B,C))),multiply(B,C,multiply(B,inverse(
% multiply(C,B,D)),D)))
% -> A
% Current number of equations to process: 4619
% Current number of ordered equations: 0
% Current number of rules: 650
% New rule produced :
% [986]
% multiply(inverse(multiply(A,B,C)),multiply(inverse(multiply(A,B,C)),inverse(D),
% multiply(B,multiply(E,inverse(multiply(A,B,E)),C),A)),D)
% -> inverse(multiply(A,B,C))
% Current number of equations to process: 4618
% Current number of ordered equations: 0
% Current number of rules: 651
% New rule produced :
% [987]
% multiply(inverse(multiply(A,B,multiply(A,B,C))),multiply(inverse(multiply(A,B,
% multiply(A,B,C))),
% inverse(D),multiply(B,C,A)),D)
% -> inverse(multiply(A,B,multiply(A,B,C)))
% Current number of equations to process: 4617
% Current number of ordered equations: 0
% Current number of rules: 652
% New rule produced :
% [988]
% multiply(inverse(multiply(inverse(A),B,C)),multiply(inverse(multiply(
% inverse(A),B,C)),
% inverse(D),multiply(B,multiply(C,
% inverse(B),A),
% inverse(A))),D) ->
% inverse(multiply(inverse(A),B,C))
% Current number of equations to process: 4616
% Current number of ordered equations: 0
% Current number of rules: 653
% New rule produced :
% [989]
% multiply(A,multiply(B,inverse(multiply(A,multiply(inverse(C),inverse(
% multiply(B,A,D)),D),B)),
% inverse(multiply(B,A,C))),inverse(multiply(B,A,C))) ->
% inverse(multiply(B,A,C))
% Current number of equations to process: 4615
% Current number of ordered equations: 0
% Current number of rules: 654
% New rule produced :
% [990]
% multiply(A,inverse(multiply(B,B,multiply(B,inverse(C),D))),multiply(inverse(C),
% multiply(D,
% multiply(B,
% inverse(multiply(
% multiply(B,
% inverse(C),D),B,E)),E),C),B))
% -> A
% Current number of equations to process: 4614
% Current number of ordered equations: 0
% Current number of rules: 655
% New rule produced :
% [991]
% multiply(A,multiply(inverse(B),inverse(multiply(A,A,C)),C),multiply(A,
% inverse(multiply(C,A,D)),D))
% <->
% multiply(A,inverse(multiply(A,multiply(A,inverse(multiply(C,A,D)),D),B)),
% multiply(A,inverse(multiply(C,A,D)),D))
% Current number of equations to process: 4613
% Current number of ordered equations: 1
% Current number of rules: 656
% New rule produced :
% [992]
% multiply(A,inverse(multiply(A,multiply(A,inverse(multiply(C,A,D)),D),B)),
% multiply(A,inverse(multiply(C,A,D)),D)) <->
% multiply(A,multiply(inverse(B),inverse(multiply(A,A,C)),C),multiply(A,
% inverse(multiply(C,A,D)),D))
% Current number of equations to process: 4613
% Current number of ordered equations: 0
% Current number of rules: 657
% New rule produced :
% [993]
% multiply(A,inverse(multiply(B,multiply(B,inverse(multiply(C,B,D)),D),E)),
% multiply(B,multiply(C,inverse(multiply(B,B,C)),E),multiply(B,inverse(
% multiply(C,B,D)),D)))
% -> A
% Current number of equations to process: 4612
% Current number of ordered equations: 0
% Current number of rules: 658
% New rule produced :
% [994]
% multiply(A,multiply(B,inverse(multiply(B,A,C)),multiply(C,inverse(multiply(B,A,D)),D)),
% multiply(C,inverse(multiply(B,A,D)),D)) ->
% multiply(A,multiply(C,inverse(multiply(B,A,D)),D),multiply(C,inverse(
% multiply(B,A,D)),D))
% Current number of equations to process: 4611
% Current number of ordered equations: 0
% Current number of rules: 659
% New rule produced :
% [995]
% multiply(B,inverse(multiply(A,B,C)),inverse(multiply(A,B,C))) ->
% inverse(multiply(A,B,C))
% Current number of equations to process: 4614
% Current number of ordered equations: 0
% Current number of rules: 660
% New rule produced :
% [996]
% multiply(A,inverse(multiply(B,multiply(C,inverse(B),inverse(D)),multiply(D,
% inverse(B),D))),
% multiply(B,multiply(D,inverse(B),D),C)) -> A
% Current number of equations to process: 4629
% Current number of ordered equations: 1
% Current number of rules: 661
% New rule produced :
% [997]
% multiply(A,inverse(multiply(B,multiply(C,inverse(B),C),D)),multiply(B,
% multiply(D,
% inverse(B),
% inverse(C)),
% multiply(C,
% inverse(B),C))) ->
% A
% Current number of equations to process: 4629
% Current number of ordered equations: 0
% Current number of rules: 662
% New rule produced :
% [998] multiply(A,inverse(multiply(B,C,D)),multiply(D,B,multiply(D,B,C))) -> A
% Current number of equations to process: 4676
% Current number of ordered equations: 0
% Current number of rules: 663
% New rule produced :
% [999]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),D)),
% multiply(D,B,C)) -> A
% Current number of equations to process: 4678
% Current number of ordered equations: 0
% Current number of rules: 664
% New rule produced :
% [1000]
% multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),D),
% inverse(multiply(B,multiply(C,inverse(multiply(D,B,F)),F),D)),G)),G)
% -> A
% Current number of equations to process: 4697
% Current number of ordered equations: 1
% Current number of rules: 665
% New rule produced :
% [1001]
% multiply(A,inverse(B),multiply(multiply(C,multiply(D,inverse(multiply(E,C,F)),F),E),
% inverse(multiply(C,multiply(D,inverse(multiply(E,C,G)),G),E)),B))
% -> A
% Current number of equations to process: 4697
% Current number of ordered equations: 0
% Current number of rules: 666
% New rule produced :
% [1002]
% multiply(inverse(multiply(A,multiply(B,inverse(A),C),inverse(C))),multiply(A,
% multiply(
% inverse(C),
% inverse(D),
% inverse(C)),
% multiply(B,
% inverse(A),C)),D)
% -> D
% Current number of equations to process: 4709
% Current number of ordered equations: 0
% Current number of rules: 667
% New rule produced :
% [1003]
% multiply(inverse(multiply(A,multiply(B,inverse(multiply(C,A,a)),a),C)),
% multiply(A,multiply(C,inverse(D),C),multiply(B,inverse(multiply(C,A,E)),E)),D)
% -> D
% Current number of equations to process: 4708
% Current number of ordered equations: 0
% Current number of rules: 668
% New rule produced :
% [1004]
% multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(D,B,E)),E),D)),
% multiply(B,multiply(a,inverse(C),multiply(a,inverse(C),inverse(multiply(D,B,a)))),D))
% -> A
% Current number of equations to process: 4707
% Current number of ordered equations: 0
% Current number of rules: 669
% New rule produced :
% [1005]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),D)),
% multiply(B,multiply(C,inverse(multiply(B,multiply(F,inverse(multiply(D,B,G)),G),D)),F),D))
% -> A
% Current number of equations to process: 4706
% Current number of ordered equations: 0
% Current number of rules: 670
% New rule produced :
% [1006]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,B,E)),D),
% multiply(E,inverse(multiply(D,B,F)),F))),multiply(B,
% multiply(E,
% inverse(multiply(D,B,F)),F),C))
% -> A
% Current number of equations to process: 4704
% Current number of ordered equations: 1
% Current number of rules: 671
% New rule produced :
% [1007]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),F)),
% multiply(B,multiply(F,inverse(multiply(D,B,C)),D),multiply(C,inverse(
% multiply(D,B,E)),E)))
% -> A
% Current number of equations to process: 4704
% Current number of ordered equations: 0
% Current number of rules: 672
% New rule produced :
% [1008]
% multiply(inverse(multiply(A,multiply(B,inverse(multiply(C,A,D)),D),C)),
% multiply(A,multiply(C,inverse(E),C),multiply(B,inverse(multiply(C,A,F)),F)),E)
% -> E
% Rule
% [1003]
% multiply(inverse(multiply(A,multiply(B,inverse(multiply(C,A,a)),a),C)),
% multiply(A,multiply(C,inverse(D),C),multiply(B,inverse(multiply(C,A,E)),E)),D)
% -> D collapsed.
% Current number of equations to process: 4713
% Current number of ordered equations: 0
% Current number of rules: 672
% New rule produced :
% [1009]
% multiply(inverse(multiply(A,B,C)),multiply(B,multiply(A,inverse(D),A),
% multiply(C,inverse(multiply(A,B,E)),E)),D)
% -> D
% Current number of equations to process: 4734
% Current number of ordered equations: 0
% Current number of rules: 673
% New rule produced :
% [1010]
% multiply(inverse(multiply(A,B,C)),multiply(B,multiply(C,inverse(multiply(A,B,D)),D),A),
% multiply(C,B,A)) -> multiply(C,B,A)
% Current number of equations to process: 4733
% Current number of ordered equations: 0
% Current number of rules: 674
% New rule produced :
% [1011]
% multiply(inverse(multiply(A,inverse(B),C)),multiply(multiply(inverse(B),
% multiply(C,inverse(A),B),A),
% inverse(D),multiply(A,inverse(B),C)),D)
% -> D
% Current number of equations to process: 4734
% Current number of ordered equations: 0
% Current number of rules: 675
% New rule produced :
% [1012]
% multiply(inverse(multiply(A,inverse(multiply(B,A,C)),B)),multiply(A,multiply(B,
% inverse(D),B),
% multiply(inverse(C),
% inverse(multiply(B,A,E)),E)),D)
% -> D
% Current number of equations to process: 4736
% Current number of ordered equations: 0
% Current number of rules: 676
% New rule produced :
% [1013]
% multiply(inverse(multiply(A,multiply(inverse(B),inverse(multiply(C,A,D)),D),C)),
% multiply(A,multiply(C,inverse(E),C),inverse(multiply(C,A,B))),E) -> E
% Current number of equations to process: 4735
% Current number of ordered equations: 0
% Current number of rules: 677
% New rule produced :
% [1014]
% multiply(inverse(multiply(A,B,C)),multiply(B,multiply(C,inverse(multiply(A,B,D)),D),A),
% multiply(C,A,multiply(C,A,B))) -> multiply(C,A,multiply(C,A,B))
% Current number of equations to process: 4734
% Current number of ordered equations: 0
% Current number of rules: 678
% New rule produced :
% [1015]
% multiply(A,inverse(B),multiply(B,multiply(multiply(C,multiply(D,inverse(
% multiply(E,C,F)),F),E),
% inverse(B),multiply(E,C,D)),inverse(
% multiply(E,C,D))))
% -> A
% Current number of equations to process: 4739
% Current number of ordered equations: 1
% Current number of rules: 679
% New rule produced :
% [1016]
% multiply(A,inverse(multiply(B,multiply(multiply(C,multiply(D,inverse(
% multiply(E,C,F)),F),E),
% inverse(B),multiply(E,C,D)),inverse(multiply(E,C,D)))),B)
% -> A
% Current number of equations to process: 4739
% Current number of ordered equations: 0
% Current number of rules: 680
% New rule produced :
% [1017]
% multiply(A,inverse(multiply(B,inverse(multiply(C,B,D)),C)),multiply(B,
% multiply(a,
% inverse(multiply(C,B,a)),
% inverse(D)),C)) ->
% A
% Current number of equations to process: 4749
% Current number of ordered equations: 0
% Current number of rules: 681
% New rule produced :
% [1018]
% multiply(A,inverse(multiply(B,inverse(multiply(C,B,D)),C)),multiply(C,B,
% inverse(D))) -> A
% Current number of equations to process: 4779
% Current number of ordered equations: 0
% Current number of rules: 682
% New rule produced :
% [1019]
% multiply(A,inverse(multiply(inverse(B),inverse(multiply(C,inverse(B),D)),C)),
% multiply(inverse(B),multiply(inverse(D),inverse(C),B),C)) -> A
% Current number of equations to process: 4780
% Current number of ordered equations: 0
% Current number of rules: 683
% New rule produced :
% [1020]
% multiply(A,inverse(multiply(multiply(B,multiply(inverse(C),inverse(multiply(D,B,E)),E),D),
% inverse(multiply(B,inverse(multiply(D,B,C)),D)),F)),F) ->
% A
% Current number of equations to process: 4795
% Current number of ordered equations: 1
% Current number of rules: 684
% New rule produced :
% [1021]
% multiply(A,inverse(B),multiply(multiply(C,multiply(inverse(D),inverse(
% multiply(E,C,F)),F),E),
% inverse(multiply(C,inverse(multiply(E,C,D)),E)),B)) ->
% A
% Current number of equations to process: 4795
% Current number of ordered equations: 0
% Current number of rules: 685
% New rule produced :
% [1022]
% multiply(A,inverse(multiply(B,inverse(multiply(C,B,D)),C)),multiply(B,
% multiply(a,
% inverse(D),
% multiply(a,
% inverse(D),
% inverse(multiply(C,B,a)))),C))
% -> A
% Current number of equations to process: 4801
% Current number of ordered equations: 0
% Current number of rules: 686
% New rule produced :
% [1023]
% multiply(A,inverse(multiply(B,inverse(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),D)),D)),
% multiply(B,multiply(inverse(C),inverse(multiply(D,B,F)),F),D)) -> A
% Current number of equations to process: 4800
% Current number of ordered equations: 0
% Current number of rules: 687
% New rule produced :
% [1024]
% multiply(A,inverse(multiply(B,inverse(multiply(C,B,D)),multiply(D,inverse(
% multiply(C,B,E)),E))),
% multiply(B,multiply(D,inverse(multiply(C,B,E)),E),inverse(C))) -> A
% Current number of equations to process: 4799
% Current number of ordered equations: 0
% Current number of rules: 688
% New rule produced :
% [1025]
% multiply(inverse(multiply(A,B,C)),multiply(multiply(B,multiply(C,inverse(
% multiply(B,
% multiply(D,
% inverse(
% multiply(A,B,E)),E),A)),D),A),
% inverse(F),multiply(A,B,C)),F) -> F
% Current number of equations to process: 4800
% Current number of ordered equations: 2
% Current number of rules: 689
% New rule produced :
% [1026]
% multiply(inverse(multiply(A,B,C)),multiply(multiply(B,multiply(C,inverse(
% multiply(A,B,D)),D),A),
% inverse(E),multiply(B,multiply(C,inverse(
% multiply(A,B,F)),F),A)),E)
% -> E
% Current number of equations to process: 4800
% Current number of ordered equations: 1
% Current number of rules: 690
% New rule produced :
% [1027]
% multiply(inverse(multiply(A,multiply(B,inverse(multiply(C,A,D)),D),C)),
% multiply(multiply(A,multiply(B,inverse(multiply(C,A,E)),E),C),inverse(F),
% multiply(C,A,B)),F) -> F
% Current number of equations to process: 4800
% Current number of ordered equations: 0
% Current number of rules: 691
% New rule produced :
% [1028]
% multiply(inverse(multiply(A,B,inverse(C))),multiply(multiply(B,multiply(a,
% inverse(C),
% multiply(a,
% inverse(C),
% inverse(
% multiply(A,B,a)))),A),
% inverse(D),multiply(A,B,inverse(C))),D)
% -> D
% Current number of equations to process: 4798
% Current number of ordered equations: 0
% Current number of rules: 692
% New rule produced :
% [1029]
% multiply(A,inverse(multiply(B,inverse(multiply(B,multiply(inverse(C),
% inverse(multiply(D,B,E)),E),D)),
% inverse(multiply(D,B,C)))),multiply(B,inverse(multiply(D,B,C)),
% inverse(D))) -> A
% Current number of equations to process: 4797
% Current number of ordered equations: 0
% Current number of rules: 693
% New rule produced :
% [1030]
% multiply(E,inverse(multiply(A,inverse(multiply(B,A,C)),B)),D) <->
% multiply(inverse(multiply(A,inverse(multiply(B,A,C)),B)),multiply(D,inverse(E),
% multiply(A,multiply(
% inverse(C),
% inverse(
% multiply(B,A,F)),F),B)),E)
% Current number of equations to process: 4796
% Current number of ordered equations: 1
% Current number of rules: 694
% New rule produced :
% [1031]
% multiply(inverse(multiply(A,inverse(multiply(B,A,C)),B)),multiply(D,inverse(E),
% multiply(A,multiply(
% inverse(C),
% inverse(
% multiply(B,A,F)),F),B)),E)
% <-> multiply(E,inverse(multiply(A,inverse(multiply(B,A,C)),B)),D)
% Current number of equations to process: 4796
% Current number of ordered equations: 0
% Current number of rules: 695
% New rule produced :
% [1032]
% multiply(A,inverse(multiply(B,multiply(multiply(C,multiply(D,inverse(
% multiply(E,C,F)),F),E),
% inverse(G),multiply(E,C,D)),multiply(inverse(G),B,
% inverse(multiply(E,C,D))))),B)
% -> A
% Current number of equations to process: 4795
% Current number of ordered equations: 0
% Current number of rules: 696
% New rule produced :
% [1033]
% multiply(A,inverse(multiply(B,inverse(multiply(B,multiply(C,inverse(B),C),D)),
% multiply(C,inverse(B),C))),multiply(B,multiply(inverse(D),
% inverse(B),inverse(C)),
% multiply(C,inverse(B),C))) -> A
% Current number of equations to process: 4794
% Current number of ordered equations: 0
% Current number of rules: 697
% New rule produced :
% [1034]
% multiply(A,inverse(multiply(multiply(B,B,C),D,multiply(B,multiply(B,inverse(
% multiply(C,B,E)),E),F))),
% multiply(B,multiply(F,D,C),multiply(B,inverse(multiply(C,B,E)),E))) -> A
% Current number of equations to process: 4792
% Current number of ordered equations: 1
% Current number of rules: 698
% New rule produced :
% [1035]
% multiply(A,inverse(multiply(multiply(B,B,C),D,multiply(B,multiply(B,inverse(
% multiply(C,B,E)),E),F))),
% multiply(B,multiply(C,D,F),multiply(B,inverse(multiply(C,B,E)),E))) -> A
% Current number of equations to process: 4792
% Current number of ordered equations: 0
% Current number of rules: 699
% New rule produced :
% [1036]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(B,multiply(
% inverse(D),
% inverse(multiply(E,B,F)),F),E)),E),
% inverse(multiply(E,B,D)))),multiply(B,inverse(multiply(E,B,D)),C))
% -> A
% Current number of equations to process: 4789
% Current number of ordered equations: 0
% Current number of rules: 700
% New rule produced :
% [1037]
% multiply(inverse(multiply(A,inverse(multiply(B,A,C)),B)),multiply(multiply(A,
% inverse(
% multiply(B,A,C)),B),
% inverse(D),multiply(A,
% multiply(
% inverse(C),
% inverse(
% multiply(B,A,E)),E),B)),D)
% -> D
% Current number of equations to process: 4788
% Current number of ordered equations: 0
% Current number of rules: 701
% New rule produced :
% [1038]
% multiply(inverse(multiply(B,inverse(multiply(C,B,D)),C)),multiply(multiply(B,
% multiply(
% inverse(D),
% inverse(
% multiply(C,B,E)),E),C),
% inverse(A),multiply(B,
% inverse(
% multiply(C,B,D)),C)),A)
% -> A
% Current number of equations to process: 4787
% Current number of ordered equations: 0
% Current number of rules: 702
% New rule produced :
% [1039]
% multiply(inverse(multiply(A,B,C)),inverse(multiply(B,multiply(C,inverse(
% multiply(A,B,D)),D),A)),
% multiply(C,A,multiply(C,A,B))) -> inverse(multiply(A,B,C))
% Current number of equations to process: 4816
% Current number of ordered equations: 0
% Current number of rules: 703
% New rule produced :
% [1040]
% multiply(inverse(multiply(A,inverse(B),C)),multiply(inverse(multiply(
% inverse(B),
% multiply(C,
% inverse(A),B),A)),
% inverse(D),multiply(A,inverse(B),C)),D)
% -> inverse(multiply(A,inverse(B),C))
% Current number of equations to process: 4817
% Current number of ordered equations: 0
% Current number of rules: 704
% New rule produced :
% [1041]
% multiply(A,inverse(multiply(B,inverse(C),D)),multiply(inverse(C),multiply(
% inverse(B),
% multiply(C,
% inverse(D),B),D),B))
% -> A
% Current number of equations to process: 4868
% Current number of ordered equations: 0
% Current number of rules: 705
% New rule produced :
% [1042]
% multiply(A,inverse(multiply(multiply(inverse(B),multiply(C,inverse(D),B),D),
% inverse(multiply(D,inverse(B),C)),E)),E) -> A
% Current number of equations to process: 4866
% Current number of ordered equations: 1
% Current number of rules: 706
% New rule produced :
% [1043]
% multiply(A,inverse(B),multiply(multiply(inverse(C),multiply(D,inverse(E),C),E),
% inverse(multiply(E,inverse(C),D)),B)) -> A
% Current number of equations to process: 4866
% Current number of ordered equations: 0
% Current number of rules: 707
% New rule produced :
% [1044]
% multiply(inverse(multiply(A,inverse(B),C)),multiply(D,inverse(E),multiply(
% inverse(B),
% multiply(C,
% inverse(A),B),A)),E)
% <-> multiply(E,inverse(multiply(A,inverse(B),C)),D)
% Current number of equations to process: 4880
% Current number of ordered equations: 1
% Current number of rules: 708
% New rule produced :
% [1045]
% multiply(E,inverse(multiply(A,inverse(B),C)),D) <->
% multiply(inverse(multiply(A,inverse(B),C)),multiply(D,inverse(E),multiply(
% inverse(B),
% multiply(C,
% inverse(A),B),A)),E)
% Current number of equations to process: 4880
% Current number of ordered equations: 0
% Current number of rules: 709
% New rule produced :
% [1046]
% multiply(A,inverse(multiply(multiply(B,C,D),inverse(multiply(D,C,B)),E)),
% multiply(inverse(multiply(D,C,B)),E,multiply(B,C,D))) -> A
% Current number of equations to process: 4879
% Current number of ordered equations: 0
% Current number of rules: 710
% New rule produced :
% [1047] multiply(A,multiply(inverse(B),inverse(A),inverse(B)),B) -> A
% Current number of equations to process: 4890
% Current number of ordered equations: 0
% Current number of rules: 711
% Rule [1030]
% multiply(E,inverse(multiply(A,inverse(multiply(B,A,C)),B)),D) <->
% multiply(inverse(multiply(A,inverse(multiply(B,A,C)),B)),multiply(D,
% inverse(E),
% multiply(A,
% multiply(
% inverse(C),
% inverse(
% multiply(B,A,F)),F),B)),E) is composed into 
% [1030]
% multiply(E,inverse(multiply(A,inverse(multiply(B,A,C)),B)),D) <->
% multiply(inverse(multiply(A,inverse(multiply(B,A,C)),B)),multiply(D,inverse(E),
% multiply(A,multiply(
% inverse(C),
% inverse(A),
% inverse(B)),B)),E)
% Rule [969]
% multiply(A,multiply(a,inverse(B),multiply(a,inverse(B),inverse(multiply(A,
% inverse(
% multiply(D,A,C)),a)))),
% inverse(multiply(D,A,C))) <->
% multiply(A,multiply(inverse(B),inverse(multiply(A,multiply(inverse(C),
% inverse(multiply(D,A,E)),E),D)),D),
% inverse(multiply(D,A,C))) is composed into [969]
% multiply(A,multiply(a,
% inverse(B),
% multiply(a,
% inverse(B),
% inverse(multiply(A,
% inverse(
% multiply(D,A,C)),a)))),
% inverse(multiply(D,A,C))) <->
% multiply(A,multiply(inverse(B),
% inverse(multiply(A,
% multiply(
% inverse(C),
% inverse(A),
% inverse(D)),D)),D),
% inverse(multiply(D,A,C)))
% Rule [966]
% multiply(inverse(multiply(A,B,C)),multiply(a,inverse(D),multiply(a,
% inverse(D),
% inverse(
% multiply(E,
% inverse(
% multiply(A,B,C)),a)))),E)
% <->
% multiply(inverse(multiply(A,B,C)),multiply(inverse(D),inverse(E),
% multiply(B,multiply(C,inverse(
% multiply(A,B,F)),F),A)),E) is composed into 
% [966]
% multiply(inverse(multiply(A,B,C)),multiply(a,inverse(D),multiply(a,inverse(D),
% inverse(multiply(E,
% inverse(
% multiply(A,B,C)),a)))),E)
% <->
% multiply(inverse(multiply(A,B,C)),multiply(inverse(D),inverse(E),multiply(B,
% multiply(C,
% inverse(B),
% inverse(A)),A)),E)
% Rule [955]
% multiply(A,multiply(a,inverse(B),multiply(a,inverse(B),inverse(multiply(D,A,a)))),D)
% <->
% multiply(A,multiply(inverse(B),inverse(multiply(A,multiply(C,inverse(
% multiply(D,A,E)),E),D)),C),D) is composed into 
% [955]
% multiply(A,multiply(a,inverse(B),multiply(a,inverse(B),inverse(multiply(D,A,a)))),D)
% <->
% multiply(A,multiply(inverse(B),inverse(multiply(A,multiply(C,inverse(A),
% inverse(D)),D)),C),D)
% Rule [919]
% multiply(B,inverse(multiply(A,B,C)),multiply(B,inverse(multiply(A,B,C)),
% multiply(inverse(A),inverse(B),
% multiply(A,B,C)))) <->
% multiply(B,inverse(multiply(A,B,C)),multiply(B,inverse(multiply(A,B,C)),
% inverse(multiply(B,multiply(
% inverse(C),
% inverse(multiply(A,B,D)),D),A)))) is composed into 
% [919]
% multiply(B,inverse(multiply(A,B,C)),multiply(B,inverse(multiply(A,B,C)),
% multiply(inverse(A),inverse(B),multiply(A,B,C))))
% <->
% multiply(B,inverse(multiply(A,B,C)),multiply(B,inverse(multiply(A,B,C)),
% inverse(multiply(B,multiply(inverse(C),
% inverse(B),inverse(A)),A))))
% Rule [917]
% multiply(C,multiply(B,B,B),multiply(inverse(A),inverse(multiply(B,C,D)),D))
% <-> multiply(C,multiply(inverse(A),inverse(multiply(B,C,E)),E),B) is composed into 
% [917]
% multiply(C,multiply(B,B,B),multiply(inverse(A),inverse(multiply(B,C,D)),D))
% <-> multiply(C,multiply(inverse(A),inverse(C),inverse(B)),B)
% Rule [916]
% multiply(B,multiply(A,A,A),inverse(multiply(A,B,C))) <->
% multiply(B,multiply(inverse(C),inverse(multiply(A,B,E)),E),A) is composed into 
% [916]
% multiply(B,multiply(A,A,A),inverse(multiply(A,B,C))) <->
% multiply(B,multiply(inverse(C),inverse(B),inverse(A)),A)
% Rule [664]
% multiply(A,multiply(B,inverse(A),multiply(D,A,C)),inverse(multiply(D,A,C)))
% <->
% multiply(A,multiply(B,inverse(multiply(A,multiply(inverse(C),inverse(
% multiply(D,A,E)),E),D)),D),
% inverse(multiply(D,A,C))) is composed into [664]
% multiply(A,multiply(B,
% inverse(A),
% multiply(D,A,C)),
% inverse(multiply(D,A,C))) <->
% multiply(A,multiply(B,
% inverse(multiply(A,
% multiply(
% inverse(C),
% inverse(A),
% inverse(D)),D)),D),
% inverse(multiply(D,A,C)))
% Rule [438]
% multiply(inverse(multiply(A,B,C)),multiply(D,multiply(A,B,C),E),
% inverse(E)) <->
% multiply(inverse(multiply(A,B,C)),multiply(D,E,multiply(B,multiply(C,
% inverse(
% multiply(A,B,F)),F),A)),
% inverse(E)) is composed into [438]
% multiply(inverse(multiply(A,B,C)),multiply(D,
% multiply(A,B,C),E),
% inverse(E)) <->
% multiply(inverse(multiply(A,B,C)),multiply(D,E,
% multiply(B,
% multiply(C,
% inverse(B),
% inverse(A)),A)),
% inverse(E))
% Rule [424]
% multiply(inverse(multiply(A,B,C)),inverse(multiply(E,inverse(multiply(A,B,C)),D)),E)
% <->
% multiply(inverse(multiply(A,B,C)),multiply(inverse(D),inverse(E),
% multiply(B,multiply(C,inverse(
% multiply(A,B,F)),F),A)),E) is composed into 
% [424]
% multiply(inverse(multiply(A,B,C)),inverse(multiply(E,inverse(multiply(A,B,C)),D)),E)
% <->
% multiply(inverse(multiply(A,B,C)),multiply(inverse(D),inverse(E),multiply(B,
% multiply(C,
% inverse(B),
% inverse(A)),A)),E)
% Rule [385]
% multiply(E,inverse(multiply(A,B,C)),D) <->
% multiply(inverse(multiply(A,B,C)),multiply(D,inverse(E),multiply(B,
% multiply(C,
% inverse(
% multiply(A,B,F)),F),A)),E) is composed into 
% [385]
% multiply(E,inverse(multiply(A,B,C)),D) <->
% multiply(inverse(multiply(A,B,C)),multiply(D,inverse(E),multiply(B,multiply(C,
% inverse(B),
% inverse(A)),A)),E)
% Rule [376]
% multiply(D,A,B) <->
% multiply(A,multiply(B,inverse(multiply(A,multiply(C,inverse(multiply(D,A,E)),E),D)),C),D) is composed into 
% [376]
% multiply(D,A,B) <->
% multiply(A,multiply(B,inverse(multiply(A,multiply(C,inverse(A),inverse(D)),D)),C),D)
% Rule [361]
% multiply(A,inverse(multiply(D,A,B)),D) <->
% multiply(A,multiply(inverse(B),inverse(multiply(A,multiply(C,inverse(
% multiply(D,A,E)),E),D)),C),D) is composed into 
% [361]
% multiply(A,inverse(multiply(D,A,B)),D) <->
% multiply(A,multiply(inverse(B),inverse(multiply(A,multiply(C,inverse(A),
% inverse(D)),D)),C),D)
% Rule [349]
% multiply(B,inverse(multiply(A,B,C)),multiply(B,inverse(multiply(A,B,C)),
% multiply(A,inverse(B),multiply(A,B,C))))
% <-> multiply(B,multiply(inverse(C),inverse(multiply(A,B,E)),E),A) is composed into 
% [349]
% multiply(B,inverse(multiply(A,B,C)),multiply(B,inverse(multiply(A,B,C)),
% multiply(A,inverse(B),multiply(A,B,C))))
% <-> multiply(B,multiply(inverse(C),inverse(B),inverse(A)),A)
% Rule [227]
% multiply(A,B,C) <-> multiply(B,multiply(C,inverse(multiply(A,B,F)),F),A) is composed into 
% [227] multiply(A,B,C) <-> multiply(B,multiply(C,inverse(B),inverse(A)),A)
% Rule [199]
% multiply(A,inverse(multiply(B,A,C)),B) <->
% multiply(A,multiply(inverse(C),inverse(multiply(B,A,D)),D),B) is composed into 
% [199]
% multiply(A,inverse(multiply(B,A,C)),B) <->
% multiply(A,multiply(inverse(C),inverse(A),inverse(B)),B)
% Rule [107]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),
% multiply(C,multiply(F,E,D),B)) <->
% multiply(A,inverse(multiply(G,V_7,V_9)),multiply(V_7,multiply(V_9,
% inverse(multiply(G,V_7,V_10)),V_10),G)) is composed into 
% [107]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,
% multiply(F,E,D),B))
% <->
% multiply(A,inverse(multiply(G,V_7,V_9)),multiply(V_7,multiply(V_9,inverse(V_7),
% inverse(G)),G))
% Rule [2]
% multiply(multiply(A,B,C),inverse(multiply(multiply(D,E,F),G,multiply(D,E,V_7))),
% multiply(E,multiply(V_7,G,F),D)) <->
% multiply(B,multiply(C,inverse(multiply(A,B,V_8)),V_8),A) is composed into 
% [2]
% multiply(multiply(A,B,C),inverse(multiply(multiply(D,E,F),G,multiply(D,E,V_7))),
% multiply(E,multiply(V_7,G,F),D)) ->
% multiply(B,multiply(C,inverse(B),inverse(A)),A)
% New rule produced :
% [1048]
% multiply(A,multiply(B,inverse(multiply(C,A,D)),D),C) ->
% multiply(A,multiply(B,inverse(A),inverse(C)),C)
% Rule
% [13]
% multiply(A,multiply(B,inverse(multiply(C,A,E)),E),C) <->
% multiply(A,multiply(B,inverse(multiply(C,A,D)),D),C) collapsed.
% Rule
% [57]
% multiply(B,multiply(C,inverse(multiply(A,B,G)),G),A) <->
% multiply(B,multiply(C,inverse(multiply(A,B,a)),a),A) collapsed.
% Rule
% [72]
% multiply(B,multiply(C,inverse(multiply(A,B,V_9)),V_9),A) <->
% multiply(B,multiply(C,inverse(multiply(A,B,a)),a),A) collapsed.
% Rule
% [89]
% multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A) <->
% multiply(B,multiply(C,inverse(multiply(A,B,a)),a),A) collapsed.
% Rule
% [101]
% multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A) <->
% multiply(B,multiply(C,inverse(multiply(A,B,a)),a),A) collapsed.
% Rule
% [113]
% multiply(B,multiply(C,inverse(multiply(A,B,G)),G),A) <->
% multiply(B,multiply(C,inverse(multiply(A,B,a)),a),A) collapsed.
% Rule
% [152]
% multiply(B,multiply(C,inverse(multiply(A,B,V_8)),V_8),A) <->
% multiply(B,multiply(C,inverse(multiply(A,B,a)),a),A) collapsed.
% Rule
% [156]
% multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A) <->
% multiply(B,multiply(C,inverse(multiply(A,B,a)),a),A) collapsed.
% Rule
% [175]
% multiply(A,multiply(D,inverse(multiply(inverse(B),A,E)),E),inverse(B)) ->
% multiply(A,multiply(D,inverse(A),B),inverse(B)) collapsed.
% Rule
% [186]
% multiply(B,multiply(C,inverse(multiply(A,B,G)),G),A) <->
% multiply(B,multiply(C,inverse(multiply(A,B,a)),a),A) collapsed.
% Rule
% [195]
% multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A) <->
% multiply(B,multiply(C,inverse(multiply(A,B,a)),a),A) collapsed.
% Rule
% [198]
% multiply(A,multiply(inverse(C),inverse(multiply(B,A,D)),D),B) <->
% multiply(A,inverse(multiply(B,A,C)),B) collapsed.
% Rule
% [214]
% multiply(A,inverse(multiply(B,C,D)),multiply(C,multiply(D,inverse(multiply(B,C,E)),E),B))
% -> A collapsed.
% Rule
% [228]
% multiply(B,multiply(C,inverse(multiply(A,B,F)),F),A) <-> multiply(A,B,C)
% collapsed.
% Rule
% [246]
% multiply(inverse(B),multiply(C,inverse(multiply(D,inverse(B),E)),E),D) ->
% multiply(inverse(B),multiply(C,inverse(D),B),D) collapsed.
% Rule
% [271]
% multiply(B,multiply(inverse(C),inverse(multiply(A,B,E)),E),A) <->
% multiply(B,multiply(a,inverse(C),multiply(a,inverse(C),inverse(multiply(A,B,a)))),A)
% collapsed.
% Rule
% [281] multiply(A,multiply(A,inverse(multiply(B,A,C)),C),B) -> multiply(A,A,B)
% collapsed.
% Rule
% [284]
% multiply(A,multiply(A,inverse(multiply(B,A,D)),D),B) <->
% multiply(A,multiply(A,inverse(multiply(B,A,a)),a),B) collapsed.
% Rule
% [285]
% multiply(B,multiply(B,inverse(multiply(A,B,D)),D),A) <->
% multiply(B,multiply(B,inverse(multiply(A,B,a)),a),A) collapsed.
% Rule
% [297]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),D)),
% multiply(B,multiply(C,inverse(multiply(D,B,F)),F),D)) -> A collapsed.
% Rule
% [298]
% multiply(inverse(multiply(B,C,D)),multiply(multiply(C,multiply(D,inverse(
% multiply(B,C,E)),E),B),
% inverse(A),multiply(B,C,D)),A) -> A
% collapsed.
% Rule
% [300]
% multiply(A,inverse(multiply(B,inverse(multiply(C,B,D)),C)),multiply(B,
% multiply(inverse(D),
% inverse(multiply(C,B,E)),E),C))
% -> A collapsed.
% Rule
% [301]
% multiply(inverse(multiply(A,B,C)),multiply(inverse(multiply(B,multiply(C,
% inverse(
% multiply(A,B,D)),D),A)),
% inverse(E),multiply(A,B,C)),E) ->
% inverse(multiply(A,B,C)) collapsed.
% Rule
% [324]
% multiply(A,multiply(multiply(B,C,D),inverse(multiply(multiply(B,C,E),A,F)),F),
% multiply(B,C,E)) -> multiply(C,multiply(D,A,E),B) collapsed.
% Rule
% [350]
% multiply(B,multiply(inverse(C),inverse(multiply(A,B,E)),E),A) <->
% multiply(B,inverse(multiply(A,B,C)),multiply(B,inverse(multiply(A,B,C)),
% multiply(A,inverse(B),multiply(A,B,C))))
% collapsed.
% Rule
% [351]
% multiply(A,multiply(B,inverse(multiply(A,multiply(C,inverse(multiply(D,A,E)),E),D)),C),D)
% <-> multiply(A,multiply(B,inverse(multiply(D,A,F)),F),D) collapsed.
% Rule
% [353]
% multiply(A,multiply(B,inverse(multiply(D,A,F)),F),D) <->
% multiply(A,multiply(B,inverse(multiply(A,multiply(C,inverse(multiply(D,A,E)),E),D)),C),D)
% collapsed.
% Rule
% [354]
% multiply(A,multiply(D,inverse(multiply(B,A,E)),E),B) <-> multiply(B,A,D)
% collapsed.
% Rule
% [355]
% multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),D),F,
% multiply(D,B,G))),multiply(B,multiply(G,F,C),D)) -> A
% collapsed.
% Rule
% [356]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(C,multiply(F,inverse(
% multiply(B,C,G)),G),B))),
% multiply(C,multiply(F,E,D),B)) -> A collapsed.
% Rule
% [357]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,
% multiply(E,
% multiply(D,
% inverse(
% multiply(F,E,G)),G),F),B))
% -> A collapsed.
% Rule
% [358]
% multiply(A,multiply(inverse(B),inverse(multiply(C,A,E)),E),C) <->
% multiply(A,inverse(multiply(A,multiply(B,inverse(multiply(C,A,D)),D),C)),C)
% collapsed.
% Rule
% [359]
% multiply(A,inverse(multiply(A,multiply(B,inverse(multiply(C,A,D)),D),C)),C)
% <-> multiply(A,multiply(inverse(B),inverse(multiply(C,A,E)),E),C) collapsed.
% Rule
% [362]
% multiply(A,multiply(inverse(B),inverse(multiply(A,multiply(C,inverse(
% multiply(D,A,E)),E),D)),C),D)
% <-> multiply(A,inverse(multiply(D,A,B)),D) collapsed.
% Rule
% [374]
% multiply(A,multiply(B,inverse(multiply(A,multiply(C,inverse(multiply(D,A,E)),E),D)),C),D)
% <-> multiply(D,A,B) collapsed.
% Rule
% [386]
% multiply(inverse(multiply(A,B,C)),multiply(D,inverse(E),multiply(B,multiply(C,
% inverse(
% multiply(A,B,F)),F),A)),E)
% <-> multiply(E,inverse(multiply(A,B,C)),D) collapsed.
% Rule
% [392]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),D)),
% multiply(D,multiply(C,inverse(multiply(D,B,F)),F),B)) -> A collapsed.
% Rule
% [393]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(B,D,E)),E),D)),
% multiply(D,multiply(C,inverse(multiply(B,D,F)),F),B)) -> A collapsed.
% Rule
% [397]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),D)),
% multiply(C,B,D)) -> A collapsed.
% Rule
% [398]
% multiply(A,inverse(multiply(B,C,D)),multiply(C,multiply(B,inverse(multiply(D,C,E)),E),D))
% -> A collapsed.
% Rule
% [406]
% multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),D),
% inverse(multiply(D,B,C)),F)),F) -> A collapsed.
% Rule
% [407]
% multiply(A,inverse(B),multiply(multiply(C,multiply(D,inverse(multiply(E,C,F)),F),E),
% inverse(multiply(E,C,D)),B)) -> A collapsed.
% Rule
% [410]
% multiply(A,inverse(multiply(B,inverse(multiply(B,C,D)),C)),multiply(C,
% multiply(inverse(D),
% inverse(multiply(B,C,E)),E),B))
% -> A collapsed.
% Rule
% [411]
% multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(D,B,E)),E),D)),
% multiply(D,inverse(multiply(D,B,C)),B)) -> A collapsed.
% Rule
% [422]
% multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(
% multiply(F,E,D),
% multiply(B,
% inverse(
% multiply(C,
% multiply(F,E,D),G)),G),C))
% -> A collapsed.
% Rule
% [425]
% multiply(inverse(multiply(A,B,C)),multiply(inverse(D),inverse(E),multiply(B,
% multiply(C,
% inverse(
% multiply(A,B,F)),F),A)),E)
% <->
% multiply(inverse(multiply(A,B,C)),inverse(multiply(E,inverse(multiply(A,B,C)),D)),E)
% collapsed.
% Rule
% [429]
% multiply(A,inverse(multiply(multiply(B,C,multiply(D,multiply(E,inverse(
% multiply(F,D,G)),G),F)),
% inverse(multiply(F,D,E)),multiply(B,C,V_7))),multiply(C,V_7,B))
% -> A collapsed.
% Rule
% [434]
% multiply(A,inverse(multiply(multiply(B,C,D),inverse(multiply(D,E,F)),
% multiply(B,C,E))),multiply(C,multiply(E,multiply(inverse(F),
% inverse(multiply(D,E,G)),G),D),B))
% -> A collapsed.
% Rule
% [439]
% multiply(inverse(multiply(A,B,C)),multiply(D,E,multiply(B,multiply(C,
% inverse(multiply(A,B,F)),F),A)),
% inverse(E)) <->
% multiply(inverse(multiply(A,B,C)),multiply(D,multiply(A,B,C),E),inverse(E))
% collapsed.
% Rule
% [443]
% multiply(A,inverse(multiply(B,C,multiply(B,C,multiply(D,inverse(multiply(B,C,E)),E)))),
% multiply(C,multiply(D,inverse(multiply(B,C,F)),F),B)) -> A collapsed.
% Rule
% [449]
% multiply(A,inverse(multiply(B,C,multiply(B,C,D))),multiply(D,multiply(B,
% inverse(
% multiply(C,D,E)),E),C))
% -> A collapsed.
% Rule
% [457]
% multiply(A,inverse(multiply(B,C,multiply(B,C,inverse(multiply(B,C,D))))),
% multiply(C,multiply(inverse(D),inverse(multiply(B,C,E)),E),B)) -> A
% collapsed.
% Rule
% [462]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,E)),B)),multiply(inverse(
% multiply(C,D,E)),
% multiply(D,
% multiply(E,
% inverse(multiply(C,D,F)),F),C),B))
% -> A collapsed.
% Rule
% [483]
% multiply(A,B,multiply(inverse(multiply(C,D,E)),multiply(multiply(D,multiply(E,
% inverse(
% multiply(C,D,F)),F),C),
% multiply(C,D,E),B),inverse(B)))
% -> A collapsed.
% Rule
% [487]
% multiply(A,inverse(multiply(inverse(B),multiply(B,C,D),C)),multiply(inverse(B),
% multiply(C,
% multiply(inverse(D),
% inverse(multiply(B,C,E)),E),B),
% multiply(B,C,D)))
% -> A collapsed.
% Rule
% [519]
% multiply(A,inverse(multiply(C,multiply(inverse(E),inverse(multiply(B,C,F)),F),B)),
% multiply(C,inverse(multiply(B,C,E)),B)) -> A collapsed.
% Rule
% [520]
% multiply(A,inverse(multiply(B,inverse(multiply(C,multiply(D,inverse(multiply(E,C,F)),F),E)),
% multiply(B,inverse(multiply(E,C,D)),G))),multiply(
% inverse(multiply(E,C,D)),G,B))
% -> A collapsed.
% Rule
% [534]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),D)),
% multiply(B,multiply(F,inverse(multiply(D,B,F)),C),D)) -> A collapsed.
% Rule
% [535]
% multiply(A,inverse(multiply(B,C,D)),multiply(C,multiply(E,inverse(multiply(C,
% multiply(E,
% inverse(
% multiply(B,C,F)),F),B)),D),B))
% -> A collapsed.
% Rule
% [561]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,E)),F)),multiply(inverse(
% multiply(C,D,E)),
% multiply(multiply(D,
% multiply(E,
% inverse(
% multiply(C,D,G)),G),C),
% inverse(B),F),B))
% -> A collapsed.
% Rule
% [562]
% multiply(A,inverse(B),multiply(inverse(multiply(C,D,E)),multiply(F,inverse(
% multiply(B,
% inverse(
% multiply(C,D,E)),F)),
% multiply(D,multiply(E,
% inverse(
% multiply(C,D,G)),G),C)),B))
% -> A collapsed.
% Rule
% [568]
% multiply(A,inverse(multiply(B,A,C)),multiply(A,inverse(multiply(B,A,C)),
% multiply(D,inverse(multiply(A,multiply(
% inverse(C),
% inverse(
% multiply(B,A,E)),E),B)),B)))
% -> multiply(A,inverse(multiply(B,A,C)),D) collapsed.
% Rule
% [584]
% multiply(A,inverse(multiply(B,C,multiply(inverse(D),B,E))),multiply(B,
% multiply(C,
% multiply(D,
% inverse(multiply(E,C,F)),F),E),
% inverse(D))) -> A
% collapsed.
% Rule
% [591]
% multiply(A,inverse(multiply(B,C,multiply(inverse(D),B,E))),multiply(multiply(E,C,D),
% multiply(inverse(D),
% inverse(multiply(B,
% multiply(E,C,D),F)),F),B))
% -> A collapsed.
% Rule
% [595]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,E)),multiply(inverse(C),B,D))),
% multiply(B,multiply(D,multiply(inverse(E),inverse(multiply(C,D,F)),F),C),
% inverse(C))) -> A collapsed.
% Rule
% [596]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,E,F)),F),
% multiply(inverse(D),B,E))),multiply(B,multiply(E,multiply(C,
% inverse(
% multiply(D,E,G)),G),D),
% inverse(D))) -> A collapsed.
% Rule
% [652]
% multiply(inverse(multiply(A,B,C)),multiply(inverse(multiply(B,multiply(C,
% inverse(
% multiply(A,B,D)),D),A)),
% multiply(A,B,C),E),inverse(E)) ->
% inverse(multiply(A,B,C)) collapsed.
% Rule
% [665]
% multiply(A,multiply(B,inverse(multiply(A,multiply(inverse(C),inverse(
% multiply(D,A,E)),E),D)),D),
% inverse(multiply(D,A,C))) <->
% multiply(A,multiply(B,inverse(A),multiply(D,A,C)),inverse(multiply(D,A,C)))
% collapsed.
% Rule
% [683]
% multiply(A,inverse(multiply(B,inverse(multiply(C,B,D)),E)),multiply(B,
% multiply(E,
% inverse(multiply(B,
% multiply(
% inverse(D),
% inverse(
% multiply(C,B,F)),F),C)),C),
% inverse(multiply(C,B,D))))
% -> A collapsed.
% Rule
% [687]
% multiply(A,inverse(multiply(inverse(D),multiply(B,inverse(multiply(inverse(D),
% multiply(B,
% inverse(multiply(B,
% multiply(
% inverse(C),
% inverse(
% multiply(D,B,E)),E),D)),D),
% multiply(B,
% multiply(inverse(C),
% inverse(multiply(D,B,E)),E),D))),
% multiply(B,inverse(multiply(D,B,C)),F)),
% multiply(B,multiply(inverse(C),inverse(multiply(D,B,E)),E),D))),
% multiply(B,F,inverse(multiply(D,B,C)))) -> A collapsed.
% Rule
% [688]
% multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(D,B,E)),E),D)),
% multiply(B,multiply(F,inverse(multiply(B,inverse(multiply(D,B,C)),F)),D),
% inverse(multiply(D,B,C)))) -> A collapsed.
% Rule
% [689]
% multiply(A,inverse(multiply(B,inverse(multiply(C,B,D)),E)),multiply(B,
% multiply(C,
% inverse(multiply(B,
% multiply(
% inverse(D),
% inverse(
% multiply(C,B,F)),F),C)),E),
% inverse(multiply(C,B,D))))
% -> A collapsed.
% Rule
% [693]
% multiply(A,inverse(multiply(inverse(multiply(B,C,D)),E,inverse(F))),multiply(
% inverse(
% multiply(B,C,D)),
% multiply(
% multiply(C,
% multiply(D,
% inverse(
% multiply(B,C,G)),G),B),E,F),
% inverse(F)))
% -> A collapsed.
% Rule
% [702]
% multiply(C,A,multiply(A,multiply(B,inverse(multiply(C,A,D)),D),C)) ->
% multiply(A,B,C) collapsed.
% Rule
% [716]
% multiply(A,inverse(multiply(B,G,multiply(B,inverse(multiply(C,D,E)),F))),
% multiply(inverse(multiply(C,D,E)),multiply(multiply(D,multiply(E,inverse(
% multiply(C,D,V_7)),V_7),C),G,F),B))
% -> A collapsed.
% Rule
% [717]
% multiply(A,inverse(multiply(B,C,multiply(B,inverse(multiply(D,E,F)),G))),
% multiply(inverse(multiply(D,E,F)),multiply(G,C,multiply(E,multiply(F,
% inverse(multiply(D,E,V_7)),V_7),D)),B))
% -> A collapsed.
% Rule
% [719]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),
% multiply(B,multiply(C,inverse(multiply(D,B,F)),F),D))),
% multiply(B,D,multiply(C,inverse(multiply(D,B,E)),E))) -> A collapsed.
% Rule
% [720]
% multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),D),F,
% multiply(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),D),F,
% inverse(multiply(D,B,C))))),F) -> A collapsed.
% Rule
% [740]
% multiply(A,inverse(multiply(B,C,inverse(D))),multiply(C,inverse(multiply(C,
% multiply(D,
% inverse(
% multiply(B,C,E)),E),B)),B))
% -> A collapsed.
% Rule
% [744]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,E)),inverse(multiply(D,
% multiply(E,
% inverse(
% multiply(C,D,F)),F),C)))),
% inverse(multiply(C,D,E))) -> A collapsed.
% Rule
% [763]
% multiply(A,inverse(multiply(B,inverse(multiply(C,B,D)),inverse(C))),multiply(B,
% inverse(
% multiply(B,
% multiply(
% inverse(D),
% inverse(
% multiply(C,B,E)),E),C)),
% inverse(
% multiply(C,B,D))))
% -> A collapsed.
% Rule
% [810]
% multiply(A,inverse(multiply(B,C,multiply(B,inverse(D),E))),multiply(inverse(D),
% multiply(C,
% multiply(D,
% inverse(multiply(E,C,F)),F),E),B))
% -> A collapsed.
% Rule
% [826]
% multiply(A,inverse(multiply(B,inverse(multiply(C,D,E)),multiply(B,inverse(C),D))),
% multiply(inverse(C),multiply(D,multiply(inverse(E),inverse(multiply(C,D,F)),F),C),B))
% -> A collapsed.
% Rule
% [827]
% multiply(A,inverse(multiply(B,C,B)),multiply(inverse(multiply(D,E,F)),
% multiply(multiply(E,multiply(F,inverse(
% multiply(D,E,G)),G),D),C,
% multiply(D,E,F)),B)) -> A collapsed.
% Rule
% [831]
% multiply(A,inverse(multiply(B,C,multiply(B,multiply(inverse(D),inverse(
% multiply(E,B,F)),F),E))),
% multiply(B,multiply(E,C,multiply(E,B,D)),inverse(multiply(E,B,D)))) -> A
% collapsed.
% Rule
% [833]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,E,F)),F),
% multiply(B,inverse(D),E))),multiply(inverse(D),multiply(E,
% multiply(C,
% inverse(
% multiply(D,E,G)),G),D),B))
% -> A collapsed.
% Rule
% [843]
% multiply(A,inverse(multiply(multiply(B,multiply(inverse(C),inverse(multiply(D,B,E)),E),D),F,
% multiply(B,inverse(multiply(D,B,C)),G))),multiply(B,
% multiply(G,F,D),
% inverse(multiply(D,B,C))))
% -> A collapsed.
% Rule
% [844]
% multiply(A,inverse(multiply(multiply(B,inverse(multiply(C,B,D)),E),F,
% multiply(B,multiply(inverse(D),inverse(multiply(C,B,G)),G),C))),
% multiply(B,multiply(C,F,E),inverse(multiply(C,B,D)))) -> A collapsed.
% Rule
% [846]
% multiply(A,inverse(multiply(multiply(B,C,inverse(D)),multiply(D,multiply(B,C,E),D),
% multiply(B,C,inverse(multiply(B,C,E))))),multiply(C,
% multiply(
% inverse(E),
% inverse(multiply(B,C,F)),F),B))
% -> A collapsed.
% Rule
% [867]
% multiply(A,inverse(multiply(B,inverse(multiply(C,B,D)),multiply(B,multiply(
% inverse(D),
% inverse(
% multiply(C,B,E)),E),C))),
% multiply(C,multiply(B,inverse(C),multiply(C,B,D)),inverse(multiply(C,B,D))))
% -> A collapsed.
% Rule
% [878]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),
% inverse(D))),multiply(B,inverse(multiply(B,multiply(C,
% inverse(
% multiply(D,B,F)),F),D)),
% multiply(C,inverse(multiply(D,B,E)),E))) -> A
% collapsed.
% Rule
% [888]
% multiply(A,inverse(multiply(multiply(B,C,D),multiply(E,inverse(multiply(D,F,G)),G),
% multiply(B,C,F))),multiply(C,multiply(F,multiply(E,
% inverse(multiply(D,F,V_7)),V_7),D),B))
% -> A collapsed.
% Rule
% [906]
% multiply(C,multiply(A,inverse(multiply(B,C,D)),D),multiply(C,multiply(A,
% inverse(
% multiply(B,C,D)),D),
% inverse(multiply(C,
% multiply(A,
% inverse(multiply(B,C,E)),E),B))))
% -> multiply(C,multiply(A,inverse(multiply(B,C,D)),D),inverse(B)) collapsed.
% Rule
% [908]
% multiply(B,inverse(multiply(D,C,multiply(D,C,multiply(E,F,G)))),multiply(C,
% multiply(F,
% multiply(G,
% inverse(
% multiply(E,F,V_8)),V_8),E),D))
% -> B collapsed.
% Rule
% [914]
% multiply(B,multiply(inverse(C),inverse(multiply(A,B,E)),E),A) <->
% multiply(B,multiply(A,A,A),inverse(multiply(A,B,C))) collapsed.
% Rule
% [915]
% multiply(C,multiply(inverse(A),inverse(multiply(B,C,E)),E),B) <->
% multiply(C,multiply(B,B,B),multiply(inverse(A),inverse(multiply(B,C,D)),D))
% collapsed.
% Rule
% [918]
% multiply(B,inverse(multiply(A,B,C)),multiply(B,inverse(multiply(A,B,C)),
% inverse(multiply(B,multiply(inverse(C),
% inverse(multiply(A,B,D)),D),A))))
% <->
% multiply(B,inverse(multiply(A,B,C)),multiply(B,inverse(multiply(A,B,C)),
% multiply(inverse(A),inverse(B),multiply(A,B,C))))
% collapsed.
% Rule
% [954]
% multiply(A,multiply(inverse(B),inverse(multiply(A,multiply(C,inverse(
% multiply(D,A,E)),E),D)),C),D)
% <->
% multiply(A,multiply(a,inverse(B),multiply(a,inverse(B),inverse(multiply(D,A,a)))),D)
% collapsed.
% Rule
% [958]
% multiply(A,inverse(multiply(B,multiply(a,inverse(C),multiply(a,inverse(C),
% inverse(multiply(D,B,a)))),D)),
% multiply(B,multiply(inverse(C),inverse(multiply(D,B,E)),E),D)) -> A
% collapsed.
% Rule
% [965]
% multiply(inverse(multiply(A,B,C)),multiply(inverse(D),inverse(E),multiply(B,
% multiply(C,
% inverse(
% multiply(A,B,F)),F),A)),E)
% <->
% multiply(inverse(multiply(A,B,C)),multiply(a,inverse(D),multiply(a,inverse(D),
% inverse(multiply(E,
% inverse(
% multiply(A,B,C)),a)))),E)
% collapsed.
% Rule
% [970]
% multiply(A,multiply(inverse(B),inverse(multiply(A,multiply(inverse(C),
% inverse(multiply(D,A,E)),E),D)),D),
% inverse(multiply(D,A,C))) <->
% multiply(A,multiply(a,inverse(B),multiply(a,inverse(B),inverse(multiply(A,
% inverse(
% multiply(D,A,C)),a)))),
% inverse(multiply(D,A,C))) collapsed.
% Rule
% [976]
% multiply(A,multiply(A,inverse(multiply(A,multiply(B,inverse(multiply(C,A,D)),D),C)),B),C)
% -> multiply(A,A,C) collapsed.
% Rule
% [984]
% multiply(inverse(multiply(A,B,C)),multiply(inverse(multiply(A,B,C)),inverse(D),
% multiply(B,multiply(C,inverse(multiply(A,B,E)),E),A)),D)
% -> inverse(multiply(A,B,C)) collapsed.
% Rule
% [989]
% multiply(A,multiply(B,inverse(multiply(A,multiply(inverse(C),inverse(
% multiply(B,A,D)),D),B)),
% inverse(multiply(B,A,C))),inverse(multiply(B,A,C))) ->
% inverse(multiply(B,A,C)) collapsed.
% Rule
% [999]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),D)),
% multiply(D,B,C)) -> A collapsed.
% Rule
% [1000]
% multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),D),
% inverse(multiply(B,multiply(C,inverse(multiply(D,B,F)),F),D)),G)),G)
% -> A collapsed.
% Rule
% [1001]
% multiply(A,inverse(B),multiply(multiply(C,multiply(D,inverse(multiply(E,C,F)),F),E),
% inverse(multiply(C,multiply(D,inverse(multiply(E,C,G)),G),E)),B))
% -> A collapsed.
% Rule
% [1004]
% multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(D,B,E)),E),D)),
% multiply(B,multiply(a,inverse(C),multiply(a,inverse(C),inverse(multiply(D,B,a)))),D))
% -> A collapsed.
% Rule
% [1005]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),D)),
% multiply(B,multiply(C,inverse(multiply(B,multiply(F,inverse(multiply(D,B,G)),G),D)),F),D))
% -> A collapsed.
% Rule
% [1008]
% multiply(inverse(multiply(A,multiply(B,inverse(multiply(C,A,D)),D),C)),
% multiply(A,multiply(C,inverse(E),C),multiply(B,inverse(multiply(C,A,F)),F)),E)
% -> E collapsed.
% Rule
% [1010]
% multiply(inverse(multiply(A,B,C)),multiply(B,multiply(C,inverse(multiply(A,B,D)),D),A),
% multiply(C,B,A)) -> multiply(C,B,A) collapsed.
% Rule
% [1013]
% multiply(inverse(multiply(A,multiply(inverse(B),inverse(multiply(C,A,D)),D),C)),
% multiply(A,multiply(C,inverse(E),C),inverse(multiply(C,A,B))),E) -> E
% collapsed.
% Rule
% [1014]
% multiply(inverse(multiply(A,B,C)),multiply(B,multiply(C,inverse(multiply(A,B,D)),D),A),
% multiply(C,A,multiply(C,A,B))) -> multiply(C,A,multiply(C,A,B)) collapsed.
% Rule
% [1015]
% multiply(A,inverse(B),multiply(B,multiply(multiply(C,multiply(D,inverse(
% multiply(E,C,F)),F),E),
% inverse(B),multiply(E,C,D)),inverse(
% multiply(E,C,D))))
% -> A collapsed.
% Rule
% [1016]
% multiply(A,inverse(multiply(B,multiply(multiply(C,multiply(D,inverse(
% multiply(E,C,F)),F),E),
% inverse(B),multiply(E,C,D)),inverse(multiply(E,C,D)))),B)
% -> A collapsed.
% Rule
% [1020]
% multiply(A,inverse(multiply(multiply(B,multiply(inverse(C),inverse(multiply(D,B,E)),E),D),
% inverse(multiply(B,inverse(multiply(D,B,C)),D)),F)),F) ->
% A collapsed.
% Rule
% [1021]
% multiply(A,inverse(B),multiply(multiply(C,multiply(inverse(D),inverse(
% multiply(E,C,F)),F),E),
% inverse(multiply(C,inverse(multiply(E,C,D)),E)),B)) ->
% A collapsed.
% Rule
% [1023]
% multiply(A,inverse(multiply(B,inverse(multiply(B,multiply(C,inverse(multiply(D,B,E)),E),D)),D)),
% multiply(B,multiply(inverse(C),inverse(multiply(D,B,F)),F),D)) -> A
% collapsed.
% Rule
% [1025]
% multiply(inverse(multiply(A,B,C)),multiply(multiply(B,multiply(C,inverse(
% multiply(B,
% multiply(D,
% inverse(
% multiply(A,B,E)),E),A)),D),A),
% inverse(F),multiply(A,B,C)),F) -> F
% collapsed.
% Rule
% [1026]
% multiply(inverse(multiply(A,B,C)),multiply(multiply(B,multiply(C,inverse(
% multiply(A,B,D)),D),A),
% inverse(E),multiply(B,multiply(C,inverse(
% multiply(A,B,F)),F),A)),E)
% -> E collapsed.
% Rule
% [1027]
% multiply(inverse(multiply(A,multiply(B,inverse(multiply(C,A,D)),D),C)),
% multiply(multiply(A,multiply(B,inverse(multiply(C,A,E)),E),C),inverse(F),
% multiply(C,A,B)),F) -> F collapsed.
% Rule
% [1029]
% multiply(A,inverse(multiply(B,inverse(multiply(B,multiply(inverse(C),
% inverse(multiply(D,B,E)),E),D)),
% inverse(multiply(D,B,C)))),multiply(B,inverse(multiply(D,B,C)),
% inverse(D))) -> A collapsed.
% Rule
% [1031]
% multiply(inverse(multiply(A,inverse(multiply(B,A,C)),B)),multiply(D,inverse(E),
% multiply(A,multiply(
% inverse(C),
% inverse(
% multiply(B,A,F)),F),B)),E)
% <-> multiply(E,inverse(multiply(A,inverse(multiply(B,A,C)),B)),D) collapsed.
% Rule
% [1032]
% multiply(A,inverse(multiply(B,multiply(multiply(C,multiply(D,inverse(
% multiply(E,C,F)),F),E),
% inverse(G),multiply(E,C,D)),multiply(inverse(G),B,
% inverse(multiply(E,C,D))))),B)
% -> A collapsed.
% Rule
% [1036]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(B,multiply(
% inverse(D),
% inverse(multiply(E,B,F)),F),E)),E),
% inverse(multiply(E,B,D)))),multiply(B,inverse(multiply(E,B,D)),C))
% -> A collapsed.
% Rule
% [1037]
% multiply(inverse(multiply(A,inverse(multiply(B,A,C)),B)),multiply(multiply(A,
% inverse(
% multiply(B,A,C)),B),
% inverse(D),multiply(A,
% multiply(
% inverse(C),
% inverse(
% multiply(B,A,E)),E),B)),D)
% -> D collapsed.
% Rule
% [1038]
% multiply(inverse(multiply(B,inverse(multiply(C,B,D)),C)),multiply(multiply(B,
% multiply(
% inverse(D),
% inverse(
% multiply(C,B,E)),E),C),
% inverse(A),multiply(B,
% inverse(
% multiply(C,B,D)),C)),A)
% -> A collapsed.
% Rule
% [1039]
% multiply(inverse(multiply(A,B,C)),inverse(multiply(B,multiply(C,inverse(
% multiply(A,B,D)),D),A)),
% multiply(C,A,multiply(C,A,B))) -> inverse(multiply(A,B,C)) collapsed.
% Current number of equations to process: 5000
% Current number of ordered equations: 0
% Current number of rules: 584
% Rule [992]
% multiply(A,inverse(multiply(A,multiply(A,inverse(multiply(C,A,D)),D),B)),
% multiply(A,inverse(multiply(C,A,D)),D)) <->
% multiply(A,multiply(inverse(B),inverse(multiply(A,A,C)),C),multiply(A,
% inverse(
% multiply(C,A,D)),D)) is composed into 
% [992]
% multiply(A,inverse(multiply(A,multiply(A,inverse(multiply(C,A,D)),D),B)),
% multiply(A,inverse(multiply(C,A,D)),D)) <->
% multiply(A,multiply(inverse(B),inverse(A),C),multiply(A,inverse(multiply(C,A,D)),D))
% Rule [971]
% multiply(A,multiply(A,inverse(multiply(C,A,D)),D),B) <->
% multiply(A,multiply(B,inverse(multiply(A,A,C)),C),multiply(A,inverse(
% multiply(C,A,D)),D)) is composed into 
% [971]
% multiply(A,multiply(A,inverse(multiply(C,A,D)),D),B) <->
% multiply(A,multiply(B,inverse(A),C),multiply(A,inverse(multiply(C,A,D)),D))
% Rule [780]
% multiply(multiply(C,inverse(A),C),multiply(B,inverse(A),inverse(C)),
% multiply(A,multiply(C,inverse(A),C),B)) ->
% multiply(A,multiply(A,inverse(multiply(A,A,multiply(B,inverse(A),
% inverse(C)))),multiply(C,
% inverse(A),C)),
% multiply(B,inverse(A),inverse(C))) is composed into [780]
% multiply(multiply(C,
% inverse(A),C),
% multiply(B,inverse(A),
% inverse(C)),
% multiply(A,multiply(C,
% inverse(A),C),B))
% ->
% multiply(A,multiply(A,
% inverse(A),
% multiply(C,
% inverse(A),C)),
% multiply(B,inverse(A),
% inverse(C)))
% Rule [773]
% multiply(multiply(A,inverse(B),inverse(C)),multiply(B,multiply(C,
% inverse(B),C),
% inverse(A)),multiply(C,
% inverse(B),C)) ->
% multiply(inverse(B),multiply(C,C,multiply(C,C,multiply(A,inverse(B),
% inverse(C)))),C) is composed into 
% [773]
% multiply(multiply(A,inverse(B),inverse(C)),multiply(B,multiply(C,inverse(B),C),
% inverse(A)),multiply(C,inverse(B),C))
% -> multiply(inverse(B),C,C)
% Rule [771]
% multiply(A,multiply(C,inverse(A),inverse(A)),B) <->
% multiply(A,multiply(B,inverse(multiply(A,A,C)),A),multiply(C,inverse(A),
% inverse(A))) is composed into 
% [771]
% multiply(A,multiply(C,inverse(A),inverse(A)),B) <->
% multiply(A,multiply(B,inverse(A),A),multiply(C,inverse(A),inverse(A)))
% Rule [622]
% multiply(inverse(C),multiply(A,inverse(B),C),B) <->
% multiply(inverse(C),multiply(B,B,B),multiply(A,inverse(multiply(B,
% inverse(C),D)),D)) is composed into 
% [622]
% multiply(inverse(C),multiply(A,inverse(B),C),B) <->
% multiply(inverse(C),B,multiply(A,inverse(multiply(B,inverse(C),D)),D))
% New rule produced : [1049] multiply(A,A,B) -> A
% Rule [471] multiply(A,B,multiply(inverse(C),multiply(C,C,B),inverse(B))) -> A
% collapsed.
% Rule
% [496]
% multiply(A,inverse(multiply(B,B,multiply(B,B,multiply(C,inverse(B),C)))),B)
% -> A collapsed.
% Rule [600] multiply(inverse(A),inverse(A),B) -> inverse(A) collapsed.
% Rule [619] multiply(A,A,inverse(B)) -> A collapsed.
% Rule
% [621]
% multiply(multiply(A,inverse(B),inverse(C)),multiply(B,B,B),multiply(C,
% inverse(B),C)) ->
% multiply(B,multiply(C,inverse(B),C),A) collapsed.
% Rule
% [623]
% multiply(inverse(C),multiply(B,B,B),multiply(A,inverse(multiply(B,inverse(C),D)),D))
% <-> multiply(inverse(C),multiply(A,inverse(B),C),B) collapsed.
% Rule
% [624]
% multiply(A,inverse(multiply(D,multiply(B,inverse(multiply(B,D,multiply(B,C,
% inverse(D)))),
% multiply(B,C,multiply(D,D,E))),multiply(B,C,
% inverse(D)))),
% multiply(C,multiply(D,D,E),B)) -> A collapsed.
% Rule
% [682]
% multiply(B,B,multiply(B,B,multiply(C,inverse(multiply(B,B,A)),A))) ->
% multiply(B,B,C) collapsed.
% Rule
% [701]
% multiply(A,inverse(multiply(B,C,multiply(C,inverse(multiply(C,C,B)),B))),B)
% -> A collapsed.
% Rule
% [772]
% multiply(A,multiply(B,inverse(multiply(A,A,C)),A),multiply(C,inverse(A),
% inverse(A))) <->
% multiply(A,multiply(C,inverse(A),inverse(A)),B) collapsed.
% Rule
% [781]
% multiply(multiply(A,inverse(multiply(B,B,C)),inverse(B)),multiply(D,inverse(
% multiply(
% multiply(B,B,C),B,A)),
% multiply(B,B,C)),
% multiply(B,B,B)) <->
% multiply(multiply(B,B,B),multiply(A,inverse(multiply(B,B,C)),inverse(B)),D)
% collapsed.
% Rule
% [782]
% multiply(A,multiply(B,inverse(multiply(multiply(A,A,C),multiply(A,A,A),D)),
% multiply(A,A,C)),multiply(D,inverse(multiply(A,A,C)),inverse(A)))
% <->
% multiply(multiply(A,A,A),multiply(D,inverse(multiply(A,A,C)),inverse(A)),B)
% collapsed.
% Rule
% [783]
% multiply(multiply(A,A,A),multiply(D,inverse(multiply(A,A,C)),inverse(A)),B)
% <->
% multiply(A,multiply(B,inverse(multiply(multiply(A,A,C),multiply(A,A,A),D)),
% multiply(A,A,C)),multiply(D,inverse(multiply(A,A,C)),inverse(A)))
% collapsed.
% Rule
% [784]
% multiply(multiply(B,B,B),multiply(A,inverse(multiply(B,B,C)),inverse(B)),D)
% <->
% multiply(multiply(A,inverse(multiply(B,B,C)),inverse(B)),multiply(D,inverse(
% multiply(
% multiply(B,B,C),B,A)),
% multiply(B,B,C)),
% multiply(B,B,B)) collapsed.
% Rule
% [853]
% multiply(multiply(B,inverse(multiply(A,A,C)),inverse(A)),multiply(D,inverse(
% multiply(
% multiply(A,A,C),
% multiply(A,A,A),B)),
% multiply(A,A,C)),
% multiply(A,A,A)) ->
% multiply(A,multiply(B,inverse(multiply(A,A,C)),inverse(A)),D) collapsed.
% Rule
% [863]
% multiply(A,multiply(A,inverse(multiply(B,A,C)),C),multiply(A,multiply(A,
% inverse(
% multiply(B,A,C)),C),
% multiply(D,inverse(
% multiply(A,A,B)),B)))
% -> multiply(A,multiply(A,inverse(multiply(B,A,C)),C),D) collapsed.
% Rule
% [865]
% multiply(inverse(C),multiply(B,B,B),multiply(A,inverse(multiply(B,inverse(C),E)),E))
% <->
% multiply(inverse(C),multiply(B,B,B),multiply(A,inverse(multiply(B,inverse(C),D)),D))
% collapsed.
% Rule
% [909]
% multiply(B,multiply(A,A,A),inverse(multiply(A,B,C))) <->
% multiply(B,multiply(A,A,A),multiply(inverse(C),inverse(multiply(A,B,E)),E))
% collapsed.
% Rule
% [910]
% multiply(B,multiply(A,A,A),multiply(inverse(C),inverse(multiply(A,B,E)),E))
% <-> multiply(B,multiply(A,A,A),inverse(multiply(A,B,C))) collapsed.
% Rule
% [911]
% multiply(C,multiply(B,B,B),multiply(inverse(A),inverse(multiply(B,C,E)),E))
% <->
% multiply(C,multiply(B,B,B),multiply(inverse(A),inverse(multiply(B,C,D)),D))
% collapsed.
% Rule
% [916]
% multiply(B,multiply(A,A,A),inverse(multiply(A,B,C))) <->
% multiply(B,multiply(inverse(C),inverse(B),inverse(A)),A) collapsed.
% Rule
% [917]
% multiply(C,multiply(B,B,B),multiply(inverse(A),inverse(multiply(B,C,D)),D))
% <-> multiply(C,multiply(inverse(A),inverse(C),inverse(B)),B) collapsed.
% Rule
% [972]
% multiply(A,multiply(B,inverse(multiply(A,A,C)),C),multiply(A,inverse(
% multiply(C,A,D)),D))
% <-> multiply(A,multiply(A,inverse(multiply(C,A,D)),D),B) collapsed.
% Rule
% [973]
% multiply(A,inverse(multiply(multiply(B,C,D),multiply(E,inverse(multiply(D,E,F)),F),
% multiply(B,C,E))),multiply(C,multiply(E,E,D),B)) -> A
% collapsed.
% Rule
% [974]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(B,C,D)),D),C)),
% multiply(C,C,B)) -> A collapsed.
% Rule
% [975]
% multiply(A,inverse(multiply(B,B,C)),multiply(C,multiply(B,inverse(multiply(C,B,D)),D),B))
% -> A collapsed.
% Rule
% [980]
% multiply(A,inverse(multiply(B,C,multiply(B,C,multiply(C,inverse(multiply(B,C,D)),D)))),
% multiply(C,C,B)) -> A collapsed.
% Rule
% [981]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,C,E)),E),
% multiply(inverse(D),B,C))),multiply(B,multiply(C,C,D),
% inverse(D))) -> A collapsed.
% Rule
% [982]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,C,E)),E),
% multiply(B,inverse(D),C))),multiply(inverse(D),multiply(C,C,D),B))
% -> A collapsed.
% Rule
% [985]
% multiply(A,inverse(multiply(B,multiply(B,inverse(multiply(C,B,D)),D),
% multiply(B,B,C))),multiply(B,C,multiply(B,inverse(
% multiply(C,B,D)),D)))
% -> A collapsed.
% Rule
% [990]
% multiply(A,inverse(multiply(B,B,multiply(B,inverse(C),D))),multiply(inverse(C),
% multiply(D,
% multiply(B,
% inverse(multiply(
% multiply(B,
% inverse(C),D),B,E)),E),C),B))
% -> A collapsed.
% Rule
% [991]
% multiply(A,multiply(inverse(B),inverse(multiply(A,A,C)),C),multiply(A,
% inverse(multiply(C,A,D)),D))
% <->
% multiply(A,inverse(multiply(A,multiply(A,inverse(multiply(C,A,D)),D),B)),
% multiply(A,inverse(multiply(C,A,D)),D)) collapsed.
% Rule
% [993]
% multiply(A,inverse(multiply(B,multiply(B,inverse(multiply(C,B,D)),D),E)),
% multiply(B,multiply(C,inverse(multiply(B,B,C)),E),multiply(B,inverse(
% multiply(C,B,D)),D)))
% -> A collapsed.
% Rule
% [1034]
% multiply(A,inverse(multiply(multiply(B,B,C),D,multiply(B,multiply(B,inverse(
% multiply(C,B,E)),E),F))),
% multiply(B,multiply(F,D,C),multiply(B,inverse(multiply(C,B,E)),E))) -> A
% collapsed.
% Rule
% [1035]
% multiply(A,inverse(multiply(multiply(B,B,C),D,multiply(B,multiply(B,inverse(
% multiply(C,B,E)),E),F))),
% multiply(B,multiply(C,D,F),multiply(B,inverse(multiply(C,B,E)),E))) -> A
% collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% Trivial
% 
% Current number of equations to process: 5024
% Current number of ordered equations: 0
% Current number of rules: 550
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
% 
% The following 27 rules have been used:
% [1] 
% multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,
% multiply(C,D,G))),multiply(D,
% multiply(G,F,E),C))
% -> B; trace = in the starting set
% [2] multiply(multiply(A,B,C),inverse(multiply(multiply(D,E,F),G,multiply(D,E,V_7))),
% multiply(E,multiply(V_7,G,F),D)) <->
% multiply(B,multiply(C,inverse(multiply(A,B,V_8)),V_8),A); trace = Self cp of 1
% [3] multiply(inverse(A),multiply(B,inverse(multiply(A,inverse(A),a)),a),A) ->
% B; trace = in the starting set
% [5] multiply(B,multiply(C,inverse(multiply(A,B,a)),a),A) <->
% multiply(B,multiply(C,inverse(multiply(A,B,F)),F),A); trace = Cp of 3 and 2
% [7] multiply(inverse(B),multiply(A,inverse(multiply(B,inverse(B),C)),C),B) ->
% A; trace = Cp of 5 and 3
% [8] multiply(multiply(A,B,C),inverse(multiply(multiply(D,inverse(D),E),
% inverse(multiply(D,inverse(D),E)),
% multiply(D,inverse(D),F))),F) <->
% multiply(B,multiply(C,inverse(multiply(A,B,G)),G),A); trace = Cp of 7 and 2
% [9] multiply(multiply(A,B,C),inverse(multiply(D,inverse(D),multiply(multiply(D,
% inverse(D),E),
% inverse(multiply(D,
% inverse(D),E)),F))),F)
% <-> multiply(B,multiply(C,inverse(multiply(A,B,G)),G),A); trace = Self cp of 8
% [12] multiply(multiply(A,B,C),inverse(multiply(multiply(D,E,a),inverse(
% multiply(D,E,a)),
% multiply(D,E,F))),multiply(E,multiply(F,
% inverse(
% multiply(D,E,G)),G),D))
% <-> multiply(B,multiply(C,inverse(multiply(A,B,V_7)),V_7),A); trace = Cp of 5 and 2
% [13] multiply(A,multiply(B,inverse(multiply(C,A,E)),E),C) <->
% multiply(A,multiply(B,inverse(multiply(C,A,D)),D),C); trace = Cp of 12 and 2
% [31] multiply(multiply(A,inverse(multiply(B,C,D)),D),multiply(B,inverse(
% multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,D)),D),E)),E),C)
% <->
% multiply(multiply(A,inverse(multiply(B,C,F)),F),multiply(B,inverse(
% multiply(C,
% multiply(A,
% inverse(
% multiply(B,C,F)),F),G)),G),C); trace = Cp of 13 and 9
% [35] multiply(multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(D,
% inverse(
% multiply(
% inverse(B),
% multiply(A,
% inverse(
% multiply(B,
% inverse(B),C)),C),E)),E),
% inverse(B)) ->
% multiply(multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(D,
% inverse(A),B),
% inverse(B)); trace = Cp of 13 and 7
% [36] multiply(multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(B,
% inverse(A),B),
% inverse(B)) <->
% multiply(multiply(A,inverse(multiply(B,inverse(B),D)),D),multiply(B,
% inverse(A),B),
% inverse(B)); trace = Cp of 35 and 31
% [47] multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),
% multiply(C,multiply(F,E,D),B)) <->
% multiply(multiply(A,inverse(multiply(G,inverse(G),a)),a),multiply(G,
% inverse(A),G),
% inverse(G)); trace = Cp of 3 and 2
% [49] multiply(A,inverse(multiply(B,inverse(B),B)),multiply(multiply(B,
% inverse(multiply(C,
% inverse(C),D)),D),
% multiply(C,inverse(B),C),
% inverse(C))) <->
% multiply(multiply(A,inverse(multiply(E,inverse(E),a)),a),multiply(E,
% inverse(A),E),
% inverse(E)); trace = Cp of 47 and 36
% [150] multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,
% multiply(E,multiply(F,G,V_7),V_8)),
% inverse(multiply(multiply(V_8,E,V_7),G,
% multiply(V_8,E,F))),
% multiply(C,D,multiply(V_9,
% inverse(V_9),V_10)))),
% multiply(D,V_10,C)) -> B; trace = Self cp of 1
% [165] multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),
% multiply(multiply(F,multiply(C,D,E),
% multiply(G,inverse(G),V_7)),
% inverse(multiply(F,multiply(C,D,E),V_8)),V_8),F)),
% multiply(multiply(C,D,E),V_7,F)) -> B; trace = Cp of 150 and 2
% [166] multiply(multiply(A,inverse(A),B),inverse(multiply(C,multiply(multiply(D,C,
% multiply(E,
% inverse(E),F)),
% inverse(multiply(D,C,G)),G),D)),
% multiply(C,F,D)) -> B; trace = Self cp of 165
% [167] multiply(multiply(A,inverse(A),B),inverse(multiply(C,inverse(C),
% multiply(D,inverse(D),E))),
% multiply(inverse(C),E,C)) -> B; trace = Cp of 166 and 7
% [172] multiply(inverse(B),A,B) -> A; trace = Cp of 167 and 150
% [175] multiply(A,multiply(D,inverse(multiply(inverse(B),A,E)),E),inverse(B))
% -> multiply(A,multiply(D,inverse(A),B),inverse(B)); trace = Cp of 13 and 7
% [186] multiply(B,multiply(C,inverse(multiply(A,B,G)),G),A) <->
% multiply(B,multiply(C,inverse(multiply(A,B,a)),a),A); trace = Cp of 49 and 9
% [199] multiply(A,inverse(multiply(B,A,C)),B) <->
% multiply(A,multiply(inverse(C),inverse(multiply(B,A,D)),D),B); trace = Cp of 172 and 13
% [225] multiply(A,inverse(A),B) -> B; trace = Cp of 166 and 7
% [251] multiply(A,inverse(multiply(inverse(B),A,C)),inverse(B)) <->
% multiply(A,multiply(inverse(C),inverse(A),B),inverse(B)); trace = Cp of 175 and 172
% [314] multiply(A,B,C) <-> multiply(C,A,multiply(C,A,B)); trace = Cp of 225 and 186
% [619] multiply(A,A,inverse(B)) -> A; trace = Cp of 251 and 175
% [1049] multiply(A,A,B) -> A; trace = Cp of 199 and 13
% % SZS output end Refutation
% All conjectures have been proven
% 
% Execution time: 251.060000 sec
% res : bool = true
% time is now off
% 
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
% 
% EOF
%------------------------------------------------------------------------------