%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : GRP414-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n057.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32286.75MB
% OS       : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:22:56 EDT 2014

% Result   : Unsatisfiable 23.21s
% Output   : Refutation 23.21s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : GRP414-1 : TPTP v6.0.0. Released v2.6.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n057.star.cs.uiowa.edu
% % Model    : x86_64 x86_64
% % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory   : 32286.75MB
% % OS       : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Fri Jun  6 12:51:03 CDT 2014
% % CPUTime  : 23.21 
% Processing problem /tmp/CiME_41051_n057.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " c3,b3,a3 : constant;  multiply : 2;  inverse : 1;";
% let X = vars "A B C";
% let Axioms = equations F X "
% multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(A,inverse(B))),C))),B))) = C;
% ";
% 
% let s1 = status F "
% c3 lr_lex;
% b3 lr_lex;
% a3 lr_lex;
% multiply lr_lex;
% inverse lr_lex;
% ";
% 
% let p1 = precedence F "
% multiply > inverse > a3 > b3 > c3";
% 
% let s2 = status F "
% c3 mul;
% b3 mul;
% a3 mul;
% multiply mul;
% inverse mul;
% ";
% 
% let p2 = precedence F "
% multiply > inverse > a3 = b3 = c3";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3));"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
% 
% let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% *)
% #time on;
% 
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 
% #time off;
% 
% 
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
% 
% F : signature = <signature>
% X : variable_set = <variable set>
% 
% Axioms : (F,X) equations = { multiply(A,inverse(multiply(multiply(multiply(
% inverse(B),B),
% inverse(multiply(
% inverse(
% multiply(A,
% inverse(B))),C))),B)))
% = C } (1 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { multiply(multiply(a3,b3),c3) =
% multiply(a3,multiply(b3,c3)) }
% (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced :
% [1]
% multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(
% inverse(
% multiply(A,
% inverse(B))),C))),B)))
% -> C
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 1
% New rule produced :
% [2]
% inverse(multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(
% inverse(
% multiply(
% inverse(
% multiply(A,
% inverse(B))),
% inverse(V_3))),C))),V_3))
% ->
% multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),inverse(C)),B)))
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [3]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% multiply(
% multiply(
% inverse(B),B),
% inverse(C)),B))))
% -> C
% Current number of equations to process: 7
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced :
% [4]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,B))))
% <->
% multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(inverse(
% multiply(
% multiply(
% inverse(B),B),
% inverse(V_3))),C))),V_3)
% Current number of equations to process: 12
% Current number of ordered equations: 1
% Current number of rules: 4
% Rule [4]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,B))))
% <->
% multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(inverse(
% multiply(
% multiply(
% inverse(B),B),
% inverse(V_3))),C))),V_3) is composed into 
% [4]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,B))))
% <->
% multiply(inverse(multiply(c3,inverse(B))),multiply(c3,inverse(multiply(C,B))))
% New rule produced :
% [5]
% multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(inverse(
% multiply(
% multiply(
% inverse(B),B),
% inverse(V_3))),C))),V_3)
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,B))))
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [6]
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(
% multiply(c3,
% inverse(A))),
% multiply(c3,
% inverse(multiply(B,A)))))),A))
% -> inverse(multiply(B,A))
% Current number of equations to process: 20
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [7]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,inverse(A))),
% multiply(B,inverse(multiply(C,A))))))
% -> C
% Rule
% [6]
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(
% multiply(c3,
% inverse(A))),
% multiply(c3,
% inverse(multiply(B,A)))))),A))
% -> inverse(multiply(B,A)) collapsed.
% Current number of equations to process: 21
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [8]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,B))))
% <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(multiply(C,B))))
% Rule
% [4]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,B))))
% <->
% multiply(inverse(multiply(c3,inverse(B))),multiply(c3,inverse(multiply(C,B))))
% collapsed.
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [9]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(C,inverse(
% multiply(
% multiply(
% multiply(
% inverse(V_3),V_3),
% inverse(V_4)),V_3)))))
% <->
% multiply(inverse(multiply(inverse(multiply(C,inverse(V_3))),inverse(B))),V_4)
% Current number of equations to process: 58
% Current number of ordered equations: 1
% Current number of rules: 7
% New rule produced :
% [10]
% multiply(inverse(multiply(inverse(multiply(C,inverse(V_3))),inverse(B))),V_4)
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(C,inverse(
% multiply(
% multiply(
% multiply(
% inverse(V_3),V_3),
% inverse(V_4)),V_3)))))
% Current number of equations to process: 63
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [11]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,C)) <->
% multiply(inverse(multiply(inverse(multiply(V_3,inverse(V_4))),inverse(B))),
% multiply(inverse(multiply(V_3,inverse(V_4))),C))
% Current number of equations to process: 64
% Current number of ordered equations: 1
% Current number of rules: 9
% Rule [11]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,C)) <->
% multiply(inverse(multiply(inverse(multiply(V_3,inverse(V_4))),inverse(B))),
% multiply(inverse(multiply(V_3,inverse(V_4))),C)) is composed into 
% [11]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,C)) <->
% multiply(inverse(multiply(c3,inverse(B))),multiply(c3,C))
% New rule produced :
% [12]
% multiply(inverse(multiply(inverse(multiply(V_3,inverse(V_4))),inverse(B))),
% multiply(inverse(multiply(V_3,inverse(V_4))),C)) <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,C))
% Current number of equations to process: 64
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [13]
% multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(
% inverse(
% multiply(c3,
% inverse(B))),
% multiply(c3,C)))),B)))
% -> multiply(A,C)
% Current number of equations to process: 110
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [14]
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(
% multiply(c3,
% inverse(A))),
% multiply(c3,B)))),A))
% -> B
% Rule
% [13]
% multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(
% inverse(
% multiply(c3,
% inverse(B))),
% multiply(c3,C)))),B)))
% -> multiply(A,C) collapsed.
% Current number of equations to process: 113
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [15]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,C)) <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,C))
% Rule
% [8]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,B))))
% <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(multiply(C,B))))
% collapsed.
% Rule
% [11]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,C)) <->
% multiply(inverse(multiply(c3,inverse(B))),multiply(c3,C)) collapsed.
% Rule
% [12]
% multiply(inverse(multiply(inverse(multiply(V_3,inverse(V_4))),inverse(B))),
% multiply(inverse(multiply(V_3,inverse(V_4))),C)) <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,C)) collapsed.
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [16]
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(
% multiply(B,
% inverse(A))),
% multiply(B,C)))),A))
% -> C
% Rule
% [14]
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(
% multiply(c3,
% inverse(A))),
% multiply(c3,B)))),A))
% -> B collapsed.
% Current number of equations to process: 179
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [17]
% multiply(inverse(multiply(A,B)),multiply(A,C)) <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,C))
% Rule
% [15]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,C)) <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,C)) collapsed.
% Current number of equations to process: 211
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [18]
% multiply(inverse(multiply(V_5,C)),multiply(V_5,multiply(A,V_4))) <->
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(V_3,B)),
% multiply(V_3,V_4)))
% Current number of equations to process: 235
% Current number of ordered equations: 3
% Current number of rules: 10
% New rule produced :
% [19]
% multiply(inverse(multiply(V_5,multiply(V_3,C))),multiply(V_5,V_4)) <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(
% inverse(
% multiply(V_3,B)),V_4))
% Current number of equations to process: 235
% Current number of ordered equations: 2
% Current number of rules: 11
% New rule produced :
% [20]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(
% inverse(
% multiply(V_3,B)),V_4))
% <-> multiply(inverse(multiply(V_5,multiply(V_3,C))),multiply(V_5,V_4))
% Current number of equations to process: 235
% Current number of ordered equations: 1
% Current number of rules: 12
% Rule [18]
% multiply(inverse(multiply(V_5,C)),multiply(V_5,multiply(A,V_4))) <->
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(V_3,B)),
% multiply(V_3,V_4))) is composed into 
% [18]
% multiply(inverse(multiply(V_5,C)),multiply(V_5,multiply(A,V_4))) <->
% multiply(inverse(multiply(c3,C)),multiply(c3,multiply(A,V_4)))
% New rule produced :
% [21]
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(V_3,B)),
% multiply(V_3,V_4))) <->
% multiply(inverse(multiply(V_5,C)),multiply(V_5,multiply(A,V_4)))
% Current number of equations to process: 235
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [22]
% multiply(A,multiply(multiply(multiply(inverse(B),B),inverse(multiply(
% inverse(multiply(C,
% inverse(B))),
% multiply(C,A)))),V_3))
% <-> multiply(inverse(multiply(V_4,B)),multiply(V_4,V_3))
% Current number of equations to process: 246
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [23]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(C,V_3)),
% multiply(C,V_4)))) <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(multiply(V_5,V_3)),
% multiply(V_5,V_4))))
% Current number of equations to process: 273
% Current number of ordered equations: 1
% Current number of rules: 15
% New rule produced :
% [24]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(multiply(V_5,V_3)),
% multiply(V_5,V_4)))) <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(C,V_3)),
% multiply(C,V_4))))
% Current number of equations to process: 273
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [25]
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,C))) <->
% multiply(inverse(multiply(V_3,multiply(V_4,B))),multiply(V_3,multiply(V_4,C)))
% Current number of equations to process: 326
% Current number of ordered equations: 1
% Current number of rules: 17
% New rule produced :
% [26]
% multiply(inverse(multiply(V_3,multiply(V_4,B))),multiply(V_3,multiply(V_4,C)))
% <-> multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,C)))
% Current number of equations to process: 326
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [27]
% multiply(inverse(multiply(A,multiply(B,C))),multiply(A,multiply(B,V_3))) <->
% multiply(inverse(multiply(V_4,multiply(V_5,C))),multiply(V_4,multiply(V_5,V_3)))
% Rule
% [25]
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,C))) <->
% multiply(inverse(multiply(V_3,multiply(V_4,B))),multiply(V_3,multiply(V_4,C)))
% collapsed.
% Rule
% [26]
% multiply(inverse(multiply(V_3,multiply(V_4,B))),multiply(V_3,multiply(V_4,C)))
% <-> multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,C)))
% collapsed.
% Current number of equations to process: 378
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [28]
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(
% multiply(c3,
% inverse(A))),B))),A))
% <->
% inverse(multiply(multiply(multiply(inverse(C),C),inverse(multiply(inverse(
% multiply(c3,
% inverse(C))),B))),C))
% Current number of equations to process: 385
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [29]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(
% multiply(
% multiply(
% inverse(V_3),V_3),
% inverse(V_4)),V_3)))))
% <-> multiply(inverse(multiply(inverse(multiply(C,inverse(V_3))),B)),V_4)
% Rule
% [9]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(C,inverse(
% multiply(
% multiply(
% multiply(
% inverse(V_3),V_3),
% inverse(V_4)),V_3)))))
% <->
% multiply(inverse(multiply(inverse(multiply(C,inverse(V_3))),inverse(B))),V_4)
% collapsed.
% Current number of equations to process: 384
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [30]
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(
% multiply(B,
% inverse(A))),C))),A))
% <->
% inverse(multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(
% inverse(
% multiply(B,
% inverse(V_3))),C))),V_3))
% Rule
% [28]
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(
% multiply(c3,
% inverse(A))),B))),A))
% <->
% inverse(multiply(multiply(multiply(inverse(C),C),inverse(multiply(inverse(
% multiply(c3,
% inverse(C))),B))),C))
% collapsed.
% Current number of equations to process: 386
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [31]
% multiply(inverse(multiply(V_4,multiply(B,inverse(multiply(multiply(multiply(
% inverse(C),C),
% inverse(A)),C))))),
% multiply(V_4,V_3)) ->
% multiply(inverse(A),multiply(inverse(multiply(B,inverse(C))),V_3))
% Current number of equations to process: 384
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [32]
% multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(
% multiply(V_3,
% multiply(B,C)))))
% <->
% multiply(inverse(multiply(V_4,inverse(multiply(V_5,C)))),multiply(V_4,
% inverse(multiply(V_3,
% multiply(V_5,C)))))
% Current number of equations to process: 383
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [33]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(
% inverse(
% multiply(V_3,B)),V_4))
% <->
% multiply(inverse(multiply(inverse(multiply(V_5,V_6)),multiply(V_5,C))),
% multiply(inverse(multiply(V_3,V_6)),V_4))
% Current number of equations to process: 381
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [34]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(C,V_3)),
% multiply(C,V_4)))) <->
% multiply(inverse(multiply(V_5,B)),multiply(V_5,multiply(inverse(multiply(V_6,V_3)),
% multiply(V_6,V_4))))
% Rule
% [23]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(C,V_3)),
% multiply(C,V_4)))) <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(multiply(V_5,V_3)),
% multiply(V_5,V_4)))) collapsed.
% Rule
% [24]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(multiply(V_5,V_3)),
% multiply(V_5,V_4)))) <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(C,V_3)),
% multiply(C,V_4)))) collapsed.
% Current number of equations to process: 484
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [35]
% multiply(inverse(multiply(c3,inverse(multiply(inverse(multiply(V_3,inverse(B))),
% multiply(V_3,inverse(multiply(A,B))))))),
% multiply(c3,C)) -> multiply(inverse(A),multiply(multiply(inverse(B),B),C))
% Current number of equations to process: 540
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [36]
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(multiply(V_4,inverse(B))),
% multiply(V_4,inverse(multiply(A,B))))))),
% multiply(V_3,C)) -> multiply(inverse(A),multiply(multiply(inverse(B),B),C))
% Rule
% [35]
% multiply(inverse(multiply(c3,inverse(multiply(inverse(multiply(V_3,inverse(B))),
% multiply(V_3,inverse(multiply(A,B))))))),
% multiply(c3,C)) -> multiply(inverse(A),multiply(multiply(inverse(B),B),C))
% collapsed.
% Current number of equations to process: 537
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [37]
% multiply(inverse(multiply(V_3,B)),multiply(V_3,inverse(multiply(inverse(
% multiply(V_4,
% inverse(A))),
% multiply(V_4,inverse(
% multiply(C,A)))))))
% <-> multiply(inverse(multiply(multiply(inverse(A),A),B)),C)
% Current number of equations to process: 534
% Current number of ordered equations: 1
% Current number of rules: 22
% New rule produced :
% [38]
% multiply(inverse(multiply(multiply(inverse(A),A),B)),C) <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,inverse(multiply(inverse(
% multiply(V_4,
% inverse(A))),
% multiply(V_4,inverse(
% multiply(C,A)))))))
% Current number of equations to process: 534
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [39]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,
% inverse(A))),C))),A)
% <->
% multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(inverse(
% multiply(B,
% inverse(V_3))),C))),V_3)
% Rule
% [30]
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(
% multiply(B,
% inverse(A))),C))),A))
% <->
% inverse(multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(
% inverse(
% multiply(B,
% inverse(V_3))),C))),V_3))
% collapsed.
% Current number of equations to process: 601
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [40]
% multiply(inverse(multiply(A,multiply(B,inverse(multiply(multiply(multiply(
% inverse(C),C),V_3),C))))),
% multiply(A,V_4)) ->
% multiply(V_3,multiply(inverse(multiply(B,inverse(C))),V_4))
% Rule
% [31]
% multiply(inverse(multiply(V_4,multiply(B,inverse(multiply(multiply(multiply(
% inverse(C),C),
% inverse(A)),C))))),
% multiply(V_4,V_3)) ->
% multiply(inverse(A),multiply(inverse(multiply(B,inverse(C))),V_3)) collapsed.
% Current number of equations to process: 642
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [41]
% multiply(inverse(multiply(B,C)),multiply(B,C)) <->
% multiply(inverse(multiply(c3,A)),multiply(c3,A))
% Current number of equations to process: 1032
% Current number of ordered equations: 1
% Current number of rules: 24
% New rule produced :
% [42]
% multiply(inverse(multiply(c3,A)),multiply(c3,A)) <->
% multiply(inverse(multiply(B,C)),multiply(B,C))
% Current number of equations to process: 1032
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [43]
% multiply(multiply(multiply(inverse(C),C),inverse(multiply(inverse(multiply(V_3,
% inverse(C))),
% multiply(V_3,inverse(
% multiply(A,B)))))),C)
% -> multiply(A,B)
% Current number of equations to process: 1036
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [44]
% multiply(inverse(A),A) <-> multiply(inverse(multiply(c3,B)),multiply(c3,B))
% Rule
% [41]
% multiply(inverse(multiply(B,C)),multiply(B,C)) <->
% multiply(inverse(multiply(c3,A)),multiply(c3,A)) collapsed.
% Current number of equations to process: 1160
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [45]
% multiply(inverse(A),A) <-> multiply(inverse(multiply(B,C)),multiply(B,C))
% Rule
% [42]
% multiply(inverse(multiply(c3,A)),multiply(c3,A)) <->
% multiply(inverse(multiply(B,C)),multiply(B,C)) collapsed.
% Rule
% [44]
% multiply(inverse(A),A) <-> multiply(inverse(multiply(c3,B)),multiply(c3,B))
% collapsed.
% Current number of equations to process: 1163
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [46]
% multiply(inverse(multiply(c3,V_3)),multiply(c3,V_3)) <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(
% multiply(c3,C)),
% multiply(c3,C)))
% Current number of equations to process: 1161
% Current number of ordered equations: 3
% Current number of rules: 26
% New rule produced :
% [47]
% multiply(inverse(multiply(c3,V_3)),multiply(c3,V_3)) <->
% multiply(inverse(multiply(inverse(multiply(c3,A)),multiply(c3,A))),multiply(
% inverse(
% multiply(B,C)),
% multiply(B,C)))
% Current number of equations to process: 1161
% Current number of ordered equations: 2
% Current number of rules: 27
% Rule [46]
% multiply(inverse(multiply(c3,V_3)),multiply(c3,V_3)) <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),
% multiply(inverse(multiply(c3,C)),multiply(c3,C))) is composed into 
% [46]
% multiply(inverse(multiply(c3,V_3)),multiply(c3,V_3)) <->
% multiply(inverse(multiply(c3,c3)),multiply(c3,c3))
% New rule produced :
% [48]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(
% multiply(c3,C)),
% multiply(c3,C)))
% <-> multiply(inverse(multiply(c3,V_3)),multiply(c3,V_3))
% Current number of equations to process: 1161
% Current number of ordered equations: 1
% Current number of rules: 28
% Rule [47]
% multiply(inverse(multiply(c3,V_3)),multiply(c3,V_3)) <->
% multiply(inverse(multiply(inverse(multiply(c3,A)),multiply(c3,A))),
% multiply(inverse(multiply(B,C)),multiply(B,C))) is composed into 
% [47]
% multiply(inverse(multiply(c3,V_3)),multiply(c3,V_3)) <->
% multiply(inverse(multiply(c3,c3)),multiply(c3,c3))
% New rule produced :
% [49]
% multiply(inverse(multiply(inverse(multiply(c3,A)),multiply(c3,A))),multiply(
% inverse(
% multiply(B,C)),
% multiply(B,C)))
% <-> multiply(inverse(multiply(c3,V_3)),multiply(c3,V_3))
% Current number of equations to process: 1161
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [50]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,
% inverse(A))),
% multiply(B,inverse(C))))),A)
% -> C
% Rule
% [43]
% multiply(multiply(multiply(inverse(C),C),inverse(multiply(inverse(multiply(V_3,
% inverse(C))),
% multiply(V_3,inverse(
% multiply(A,B)))))),C)
% -> multiply(A,B) collapsed.
% Current number of equations to process: 1164
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [51]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,C)))),A) -> A
% Current number of equations to process: 1229
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [52]
% multiply(inverse(multiply(V_4,C)),multiply(V_4,V_3)) <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(C),V_3))
% Rule
% [40]
% multiply(inverse(multiply(A,multiply(B,inverse(multiply(multiply(multiply(
% inverse(C),C),V_3),C))))),
% multiply(A,V_4)) ->
% multiply(V_3,multiply(inverse(multiply(B,inverse(C))),V_4)) collapsed.
% Current number of equations to process: 1227
% Current number of ordered equations: 3
% Current number of rules: 30
% New rule produced :
% [53]
% multiply(inverse(multiply(V_4,B)),multiply(V_4,A)) <->
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(C,V_3)),
% multiply(C,V_3)))
% Current number of equations to process: 1227
% Current number of ordered equations: 2
% Current number of rules: 31
% New rule produced :
% [54]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(C),V_3))
% <-> multiply(inverse(multiply(V_4,C)),multiply(V_4,V_3))
% Current number of equations to process: 1227
% Current number of ordered equations: 1
% Current number of rules: 32
% Rule [53]
% multiply(inverse(multiply(V_4,B)),multiply(V_4,A)) <->
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(C,V_3)),
% multiply(C,V_3))) is composed into 
% [53]
% multiply(inverse(multiply(V_4,B)),multiply(V_4,A)) <->
% multiply(inverse(multiply(c3,B)),multiply(c3,A))
% New rule produced :
% [55]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(C,V_3)),
% multiply(C,V_3))) <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,A))
% Rule
% [48]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(
% multiply(c3,C)),
% multiply(c3,C)))
% <-> multiply(inverse(multiply(c3,V_3)),multiply(c3,V_3)) collapsed.
% Rule
% [49]
% multiply(inverse(multiply(inverse(multiply(c3,A)),multiply(c3,A))),multiply(
% inverse(
% multiply(B,C)),
% multiply(B,C)))
% <-> multiply(inverse(multiply(c3,V_3)),multiply(c3,V_3)) collapsed.
% Current number of equations to process: 1227
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [56]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(C,V_3)),
% multiply(C,V_3)))) <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(V_4),V_4)))
% Current number of equations to process: 1226
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced :
% [57]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(V_4),V_4))) <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(C,V_3)),
% multiply(C,V_3))))
% Current number of equations to process: 1226
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [58]
% multiply(inverse(multiply(V_4,inverse(V_5))),multiply(V_4,inverse(multiply(V_3,V_5))))
% <->
% multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(
% multiply(V_3,
% multiply(B,C)))))
% Rule
% [32]
% multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(
% multiply(V_3,
% multiply(B,C)))))
% <->
% multiply(inverse(multiply(V_4,inverse(multiply(V_5,C)))),multiply(V_4,
% inverse(multiply(V_3,
% multiply(V_5,C)))))
% collapsed.
% Current number of equations to process: 1221
% Current number of ordered equations: 1
% Current number of rules: 33
% New rule produced :
% [59]
% multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(
% multiply(V_3,
% multiply(B,C)))))
% <->
% multiply(inverse(multiply(V_4,inverse(V_5))),multiply(V_4,inverse(multiply(V_3,V_5))))
% Current number of equations to process: 1221
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [60]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(C,V_3)),
% multiply(C,V_3)))) <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(inverse(multiply(V_5,V_6)),
% multiply(V_5,V_6))))
% Current number of equations to process: 1220
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [61]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% multiply(
% multiply(
% inverse(multiply(C,V_3)),
% multiply(C,V_3)),
% inverse(V_4)),B))))
% -> V_4
% Current number of equations to process: 1219
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [62]
% multiply(multiply(inverse(multiply(A,B)),multiply(A,B)),inverse(multiply(
% inverse(
% multiply(C,
% inverse(V_3))),
% multiply(C,
% inverse(
% multiply(V_4,V_3))))))
% -> V_4
% Current number of equations to process: 1218
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [63]
% multiply(A,inverse(multiply(multiply(multiply(inverse(multiply(B,C)),
% multiply(B,C)),inverse(multiply(
% inverse(multiply(A,
% inverse(V_3))),V_4))),V_3)))
% -> V_4
% Current number of equations to process: 1217
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [64]
% inverse(multiply(multiply(multiply(inverse(multiply(A,B)),multiply(A,B)),
% inverse(multiply(inverse(multiply(C,inverse(V_3))),multiply(C,V_4)))),V_3))
% -> V_4
% Current number of equations to process: 1216
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [65]
% multiply(A,multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(
% multiply(
% multiply(
% multiply(
% inverse(C),C),A),C)))))
% <-> multiply(inverse(multiply(V_3,V_4)),multiply(V_3,V_4))
% Current number of equations to process: 1223
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [66]
% multiply(inverse(A),multiply(multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(
% multiply(B,C)),
% multiply(B,C)))),V_3))
% <-> multiply(inverse(multiply(V_4,A)),multiply(V_4,V_3))
% Current number of equations to process: 1222
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [67]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(B),B))),A)
% -> A
% Rule
% [51]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,C)))),A) -> A
% collapsed.
% Current number of equations to process: 1278
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [68]
% multiply(inverse(multiply(A,B)),multiply(A,B)) <->
% multiply(inverse(multiply(inverse(multiply(C,V_3)),multiply(C,V_3))),
% multiply(inverse(V_4),V_4))
% Current number of equations to process: 1363
% Current number of ordered equations: 1
% Current number of rules: 42
% Rule [68]
% multiply(inverse(multiply(A,B)),multiply(A,B)) <->
% multiply(inverse(multiply(inverse(multiply(C,V_3)),multiply(C,V_3))),
% multiply(inverse(V_4),V_4)) is composed into [68]
% multiply(inverse(multiply(A,B)),
% multiply(A,B)) <->
% multiply(inverse(multiply(c3,c3)),
% multiply(c3,c3))
% New rule produced :
% [69]
% multiply(inverse(multiply(inverse(multiply(C,V_3)),multiply(C,V_3))),
% multiply(inverse(V_4),V_4)) <->
% multiply(inverse(multiply(A,B)),multiply(A,B))
% Current number of equations to process: 1363
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [70]
% multiply(inverse(multiply(V_3,B)),multiply(V_3,C)) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),C))
% Rule
% [36]
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(multiply(V_4,inverse(B))),
% multiply(V_4,inverse(multiply(A,B))))))),
% multiply(V_3,C)) -> multiply(inverse(A),multiply(multiply(inverse(B),B),C))
% collapsed.
% Rule
% [52]
% multiply(inverse(multiply(V_4,C)),multiply(V_4,V_3)) <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(C),V_3))
% collapsed.
% Current number of equations to process: 1433
% Current number of ordered equations: 1
% Current number of rules: 42
% New rule produced :
% [71]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),C)) <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,C))
% Rule
% [54]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(C),V_3))
% <-> multiply(inverse(multiply(V_4,C)),multiply(V_4,V_3)) collapsed.
% Current number of equations to process: 1433
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [72]
% multiply(inverse(multiply(V_3,B)),multiply(V_3,A)) <->
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(C),C))
% Current number of equations to process: 1436
% Current number of ordered equations: 1
% Current number of rules: 43
% Rule [72]
% multiply(inverse(multiply(V_3,B)),multiply(V_3,A)) <->
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(C),C)) is composed into 
% [72]
% multiply(inverse(multiply(V_3,B)),multiply(V_3,A)) <->
% multiply(inverse(multiply(c3,B)),multiply(c3,A))
% New rule produced :
% [73]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(C),C)) <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,A))
% Rule
% [55]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(C,V_3)),
% multiply(C,V_3))) <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,A)) collapsed.
% Rule
% [69]
% multiply(inverse(multiply(inverse(multiply(C,V_3)),multiply(C,V_3))),
% multiply(inverse(V_4),V_4)) <->
% multiply(inverse(multiply(A,B)),multiply(A,B)) collapsed.
% Current number of equations to process: 1436
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [74]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(C),C))) <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(V_3),V_3)))
% Rule
% [56]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(C,V_3)),
% multiply(C,V_3)))) <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(V_4),V_4)))
% collapsed.
% Current number of equations to process: 1440
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [75]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,multiply(
% inverse(
% multiply(C,V_3)),
% multiply(C,V_3))))
% -> multiply(inverse(multiply(c3,c3)),multiply(c3,c3))
% Current number of equations to process: 1440
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [76]
% multiply(multiply(multiply(inverse(multiply(A,B)),multiply(A,B)),inverse(
% multiply(
% inverse(
% multiply(C,
% inverse(V_3))),
% multiply(C,
% inverse(V_4))))),V_3)
% -> V_4
% Current number of equations to process: 1447
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [77]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(C),C))) <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(inverse(multiply(V_4,V_5)),
% multiply(V_4,V_5))))
% Rule
% [57]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(V_4),V_4))) <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(C,V_3)),
% multiply(C,V_3)))) collapsed.
% Rule
% [60]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(C,V_3)),
% multiply(C,V_3)))) <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(inverse(multiply(V_5,V_6)),
% multiply(V_5,V_6))))
% collapsed.
% Current number of equations to process: 1451
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [78]
% multiply(inverse(multiply(c3,inverse(c3))),multiply(c3,inverse(multiply(
% multiply(
% multiply(
% inverse(B),B),
% inverse(A)),c3))))
% -> A
% Current number of equations to process: 1461
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [79]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,inverse(
% multiply(C,V_3)))),
% multiply(B,inverse(multiply(V_4,
% multiply(C,V_3)))))))
% -> V_4
% Current number of equations to process: 1467
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [80]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(c3,multiply(inverse(
% multiply(B,C)),
% multiply(B,C)))))
% <->
% multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(c3,multiply(inverse(V_4),V_4))))
% Current number of equations to process: 1467
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [81]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(c3,multiply(inverse(c3),c3))))
% <->
% multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(c3,multiply(inverse(V_4),V_4))))
% Current number of equations to process: 1466
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced :
% [82]
% multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(c3,multiply(inverse(V_4),V_4))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(c3,multiply(inverse(c3),c3))))
% Rule
% [80]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(c3,multiply(inverse(
% multiply(B,C)),
% multiply(B,C)))))
% <->
% multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(c3,multiply(inverse(V_4),V_4))))
% collapsed.
% Current number of equations to process: 1466
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [83]
% multiply(inverse(multiply(C,inverse(V_3))),multiply(C,inverse(multiply(B,V_3))))
% <->
% multiply(inverse(multiply(c3,inverse(A))),multiply(c3,inverse(multiply(B,A))))
% Current number of equations to process: 1510
% Current number of ordered equations: 1
% Current number of rules: 48
% New rule produced :
% [84]
% multiply(inverse(multiply(c3,inverse(A))),multiply(c3,inverse(multiply(B,A))))
% <->
% multiply(inverse(multiply(C,inverse(V_3))),multiply(C,inverse(multiply(B,V_3))))
% Current number of equations to process: 1510
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [85]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,B))))
% <->
% multiply(inverse(multiply(V_3,inverse(V_4))),multiply(V_3,inverse(multiply(C,V_4))))
% Rule
% [58]
% multiply(inverse(multiply(V_4,inverse(V_5))),multiply(V_4,inverse(multiply(V_3,V_5))))
% <->
% multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(
% multiply(V_3,
% multiply(B,C)))))
% collapsed.
% Rule
% [59]
% multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(
% multiply(V_3,
% multiply(B,C)))))
% <->
% multiply(inverse(multiply(V_4,inverse(V_5))),multiply(V_4,inverse(multiply(V_3,V_5))))
% collapsed.
% Rule
% [83]
% multiply(inverse(multiply(C,inverse(V_3))),multiply(C,inverse(multiply(B,V_3))))
% <->
% multiply(inverse(multiply(c3,inverse(A))),multiply(c3,inverse(multiply(B,A))))
% collapsed.
% Rule
% [84]
% multiply(inverse(multiply(c3,inverse(A))),multiply(c3,inverse(multiply(B,A))))
% <->
% multiply(inverse(multiply(C,inverse(V_3))),multiply(C,inverse(multiply(B,V_3))))
% collapsed.
% Current number of equations to process: 1531
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [86]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% multiply(
% multiply(
% inverse(C),C),
% inverse(V_3)),B))))
% -> V_3
% Rule
% [3]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% multiply(
% multiply(
% inverse(B),B),
% inverse(C)),B))))
% -> C collapsed.
% Rule
% [61]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% multiply(
% multiply(
% inverse(multiply(C,V_3)),
% multiply(C,V_3)),
% inverse(V_4)),B))))
% -> V_4 collapsed.
% Rule
% [78]
% multiply(inverse(multiply(c3,inverse(c3))),multiply(c3,inverse(multiply(
% multiply(
% multiply(
% inverse(B),B),
% inverse(A)),c3))))
% -> A collapsed.
% Current number of equations to process: 1533
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [87]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,inverse(C))),
% multiply(B,inverse(multiply(V_3,C))))))
% -> V_3
% Rule
% [7]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,inverse(A))),
% multiply(B,inverse(multiply(C,A))))))
% -> C collapsed.
% Rule
% [62]
% multiply(multiply(inverse(multiply(A,B)),multiply(A,B)),inverse(multiply(
% inverse(
% multiply(C,
% inverse(V_3))),
% multiply(C,
% inverse(
% multiply(V_4,V_3))))))
% -> V_4 collapsed.
% Rule
% [79]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,inverse(
% multiply(C,V_3)))),
% multiply(B,inverse(multiply(V_4,
% multiply(C,V_3)))))))
% -> V_4 collapsed.
% Current number of equations to process: 1538
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [88]
% multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(
% inverse(
% multiply(A,
% inverse(C))),V_3))),C)))
% -> V_3
% Rule
% [1]
% multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(
% inverse(
% multiply(A,
% inverse(B))),C))),B)))
% -> C collapsed.
% Rule
% [63]
% multiply(A,inverse(multiply(multiply(multiply(inverse(multiply(B,C)),
% multiply(B,C)),inverse(multiply(
% inverse(multiply(A,
% inverse(V_3))),V_4))),V_3)))
% -> V_4 collapsed.
% Current number of equations to process: 1543
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [89]
% inverse(multiply(multiply(multiply(inverse(multiply(A,B)),multiply(A,B)),
% inverse(multiply(inverse(multiply(c3,c3)),multiply(c3,c3)))),C))
% -> inverse(C)
% Current number of equations to process: 1543
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [90]
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(
% multiply(B,
% inverse(C))),
% multiply(B,V_3)))),C))
% -> V_3
% Rule
% [16]
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(
% multiply(B,
% inverse(A))),
% multiply(B,C)))),A))
% -> C collapsed.
% Rule
% [64]
% inverse(multiply(multiply(multiply(inverse(multiply(A,B)),multiply(A,B)),
% inverse(multiply(inverse(multiply(C,inverse(V_3))),multiply(C,V_4)))),V_3))
% -> V_4 collapsed.
% Current number of equations to process: 1548
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [91]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% inverse(multiply(C,V_3)),
% multiply(C,V_3)))))
% <->
% multiply(inverse(multiply(V_4,inverse(V_5))),multiply(V_4,inverse(multiply(
% inverse(B),V_5))))
% Current number of equations to process: 1556
% Current number of ordered equations: 1
% Current number of rules: 42
% New rule produced :
% [92]
% multiply(inverse(multiply(V_4,inverse(V_5))),multiply(V_4,inverse(multiply(
% inverse(B),V_5))))
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% inverse(multiply(C,V_3)),
% multiply(C,V_3)))))
% Current number of equations to process: 1556
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [93]
% multiply(inverse(multiply(inverse(multiply(A,inverse(B))),C)),multiply(
% inverse(
% multiply(V_3,
% inverse(B))),V_4))
% <->
% multiply(inverse(multiply(inverse(multiply(A,inverse(V_5))),C)),multiply(
% inverse(
% multiply(V_3,
% inverse(V_5))),V_4))
% Current number of equations to process: 1555
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [94]
% multiply(inverse(multiply(inverse(c3),c3)),multiply(inverse(multiply(
% inverse(multiply(B,C)),
% multiply(B,C))),
% multiply(inverse(V_3),V_4))) <->
% multiply(inverse(multiply(V_5,multiply(V_6,V_3))),multiply(V_5,multiply(V_6,V_4)))
% Current number of equations to process: 1550
% Current number of ordered equations: 5
% Current number of rules: 45
% New rule produced :
% [95]
% multiply(inverse(multiply(V_5,multiply(V_6,V_3))),multiply(V_5,multiply(V_6,V_4)))
% <->
% multiply(inverse(multiply(inverse(c3),c3)),multiply(inverse(multiply(
% inverse(multiply(B,C)),
% multiply(B,C))),
% multiply(inverse(V_3),V_4)))
% Current number of equations to process: 1550
% Current number of ordered equations: 4
% Current number of rules: 46
% New rule produced :
% [96]
% multiply(inverse(multiply(V_5,multiply(V_6,V_3))),multiply(V_5,multiply(V_6,V_4)))
% <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(
% multiply(C,V_3)),
% multiply(C,V_4)))
% Current number of equations to process: 1550
% Current number of ordered equations: 3
% Current number of rules: 47
% New rule produced :
% [97]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(
% multiply(C,V_3)),
% multiply(C,V_4)))
% <->
% multiply(inverse(multiply(V_5,multiply(V_6,V_3))),multiply(V_5,multiply(V_6,V_4)))
% Current number of equations to process: 1550
% Current number of ordered equations: 2
% Current number of rules: 48
% New rule produced :
% [98]
% multiply(inverse(multiply(V_5,multiply(V_6,C))),multiply(V_5,multiply(V_6,B)))
% <->
% multiply(inverse(multiply(A,multiply(inverse(B),C))),multiply(A,multiply(
% inverse(
% multiply(V_3,V_4)),
% multiply(V_3,V_4))))
% Current number of equations to process: 1550
% Current number of ordered equations: 1
% Current number of rules: 49
% Rule [98]
% multiply(inverse(multiply(V_5,multiply(V_6,C))),multiply(V_5,multiply(V_6,B)))
% <->
% multiply(inverse(multiply(A,multiply(inverse(B),C))),multiply(A,
% multiply(inverse(
% multiply(V_3,V_4)),
% multiply(V_3,V_4)))) is composed into 
% [98]
% multiply(inverse(multiply(V_5,multiply(V_6,C))),multiply(V_5,multiply(V_6,B)))
% <->
% multiply(inverse(multiply(c3,multiply(c3,C))),multiply(c3,multiply(c3,B)))
% New rule produced :
% [99]
% multiply(inverse(multiply(A,multiply(inverse(B),C))),multiply(A,multiply(
% inverse(
% multiply(V_3,V_4)),
% multiply(V_3,V_4))))
% <->
% multiply(inverse(multiply(V_5,multiply(V_6,C))),multiply(V_5,multiply(V_6,B)))
% Rule
% [75]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,multiply(
% inverse(
% multiply(C,V_3)),
% multiply(C,V_3))))
% -> multiply(inverse(multiply(c3,c3)),multiply(c3,c3)) collapsed.
% Current number of equations to process: 1550
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [100]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,inverse(A))),
% multiply(B,inverse(multiply(inverse(
% multiply(C,V_3)),
% multiply(C,V_3)))))))
% -> inverse(A)
% Current number of equations to process: 1549
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [101]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(
% multiply(C,V_3)),V_4))
% <->
% multiply(inverse(multiply(inverse(multiply(V_5,V_6)),multiply(V_5,V_3))),
% multiply(inverse(multiply(C,V_6)),V_4))
% Current number of equations to process: 1547
% Current number of ordered equations: 1
% Current number of rules: 51
% New rule produced :
% [102]
% multiply(inverse(multiply(inverse(multiply(V_5,V_6)),multiply(V_5,V_3))),
% multiply(inverse(multiply(C,V_6)),V_4)) <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(
% multiply(C,V_3)),V_4))
% Current number of equations to process: 1547
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [103]
% multiply(inverse(multiply(V_4,inverse(V_5))),multiply(V_4,inverse(multiply(V_3,V_5))))
% <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(
% inverse(C)),
% inverse(
% multiply(V_3,C))))
% Current number of equations to process: 1531
% Current number of ordered equations: 1
% Current number of rules: 53
% New rule produced :
% [104]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(
% inverse(C)),
% inverse(
% multiply(V_3,C))))
% <->
% multiply(inverse(multiply(V_4,inverse(V_5))),multiply(V_4,inverse(multiply(V_3,V_5))))
% Current number of equations to process: 1531
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [105]
% multiply(inverse(A),multiply(multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(B),B))),C))
% <-> multiply(inverse(multiply(V_3,A)),multiply(V_3,C))
% Rule
% [66]
% multiply(inverse(A),multiply(multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(
% multiply(B,C)),
% multiply(B,C)))),V_3))
% <-> multiply(inverse(multiply(V_4,A)),multiply(V_4,V_3)) collapsed.
% Current number of equations to process: 1572
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [106]
% multiply(multiply(multiply(inverse(multiply(A,B)),multiply(A,B)),inverse(
% multiply(
% inverse(C),C))),V_3)
% -> V_3
% Rule
% [89]
% inverse(multiply(multiply(multiply(inverse(multiply(A,B)),multiply(A,B)),
% inverse(multiply(inverse(multiply(c3,c3)),multiply(c3,c3)))),C))
% -> inverse(C) collapsed.
% Current number of equations to process: 1596
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [107]
% multiply(inverse(multiply(V_3,C)),multiply(V_3,A)) <->
% multiply(inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(
% inverse(B),B))),C)),A)
% Current number of equations to process: 1596
% Current number of ordered equations: 1
% Current number of rules: 55
% Rule [107]
% multiply(inverse(multiply(V_3,C)),multiply(V_3,A)) <->
% multiply(inverse(multiply(multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(B),B))),C)),A) is composed into 
% [107]
% multiply(inverse(multiply(V_3,C)),multiply(V_3,A)) <->
% multiply(inverse(multiply(c3,C)),multiply(c3,A))
% New rule produced :
% [108]
% multiply(inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(
% inverse(B),B))),C)),A)
% <-> multiply(inverse(multiply(V_3,C)),multiply(V_3,A))
% Current number of equations to process: 1596
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [109]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(A),multiply(
% inverse(V_3),V_3)))
% <-> multiply(inverse(multiply(c3,A)),multiply(c3,multiply(inverse(B),B)))
% Current number of equations to process: 1837
% Current number of ordered equations: 1
% Current number of rules: 57
% New rule produced :
% [110]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(inverse(B),B))) <->
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(A),multiply(
% inverse(V_3),V_3)))
% Current number of equations to process: 1837
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [111]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(inverse(V_3),V_3))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(inverse(C),C))))
% Current number of equations to process: 1847
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [112]
% multiply(inverse(multiply(inverse(V_4),V_4)),multiply(inverse(multiply(V_5,C)),
% multiply(V_5,V_3))) <->
% multiply(inverse(multiply(A,multiply(B,C))),multiply(A,multiply(B,V_3)))
% Rule
% [97]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(
% multiply(C,V_3)),
% multiply(C,V_4)))
% <->
% multiply(inverse(multiply(V_5,multiply(V_6,V_3))),multiply(V_5,multiply(V_6,V_4)))
% collapsed.
% Current number of equations to process: 1846
% Current number of ordered equations: 1
% Current number of rules: 59
% New rule produced :
% [113]
% multiply(inverse(multiply(A,multiply(B,C))),multiply(A,multiply(B,V_3))) <->
% multiply(inverse(multiply(inverse(V_4),V_4)),multiply(inverse(multiply(V_5,C)),
% multiply(V_5,V_3)))
% Rule
% [96]
% multiply(inverse(multiply(V_5,multiply(V_6,V_3))),multiply(V_5,multiply(V_6,V_4)))
% <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(
% multiply(C,V_3)),
% multiply(C,V_4)))
% collapsed.
% Current number of equations to process: 1846
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [114]
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,C))) <->
% multiply(inverse(multiply(V_3,multiply(inverse(V_4),V_4))),multiply(V_3,
% multiply(inverse(B),C)))
% Current number of equations to process: 1842
% Current number of ordered equations: 1
% Current number of rules: 60
% New rule produced :
% [115]
% multiply(inverse(multiply(V_3,multiply(inverse(V_4),V_4))),multiply(V_3,
% multiply(inverse(B),C)))
% <-> multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,C)))
% Current number of equations to process: 1842
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [116]
% multiply(inverse(multiply(c3,multiply(inverse(A),B))),multiply(c3,multiply(
% inverse(C),C)))
% <->
% multiply(inverse(multiply(V_3,multiply(V_4,B))),multiply(V_3,multiply(V_4,A)))
% Current number of equations to process: 1841
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [117]
% multiply(inverse(multiply(V_3,multiply(inverse(C),B))),multiply(V_3,multiply(
% inverse(V_4),V_4)))
% <-> multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,C)))
% Rule
% [99]
% multiply(inverse(multiply(A,multiply(inverse(B),C))),multiply(A,multiply(
% inverse(
% multiply(V_3,V_4)),
% multiply(V_3,V_4))))
% <->
% multiply(inverse(multiply(V_5,multiply(V_6,C))),multiply(V_5,multiply(V_6,B)))
% collapsed.
% Rule
% [116]
% multiply(inverse(multiply(c3,multiply(inverse(A),B))),multiply(c3,multiply(
% inverse(C),C)))
% <->
% multiply(inverse(multiply(V_3,multiply(V_4,B))),multiply(V_3,multiply(V_4,A)))
% collapsed.
% Current number of equations to process: 1840
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [118]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(
% inverse(B),B)),
% multiply(inverse(inverse(A)),
% inverse(C))))),A) -> C
% Current number of equations to process: 1835
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [119]
% multiply(inverse(multiply(V_4,multiply(inverse(V_5),V_5))),multiply(V_4,
% multiply(inverse(C),V_3)))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(B,C)),
% multiply(B,V_3)))
% Current number of equations to process: 1838
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [120]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(B,C)),
% multiply(B,V_3))) <->
% multiply(inverse(multiply(V_4,multiply(inverse(V_5),V_5))),multiply(V_4,
% multiply(inverse(C),V_3)))
% Current number of equations to process: 1838
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [121]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(inverse(C),C))))
% <->
% multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(B,multiply(inverse(V_4),V_4))))
% Rule
% [81]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(c3,multiply(inverse(c3),c3))))
% <->
% multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(c3,multiply(inverse(V_4),V_4))))
% collapsed.
% Rule
% [111]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(inverse(V_3),V_3))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(inverse(C),C))))
% collapsed.
% Current number of equations to process: 1854
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [122]
% multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(B,multiply(inverse(V_4),V_4))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(inverse(C),C))))
% Rule
% [82]
% multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(c3,multiply(inverse(V_4),V_4))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(c3,multiply(inverse(c3),c3))))
% collapsed.
% Current number of equations to process: 1854
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [123]
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(A),multiply(B,
% multiply(
% inverse(V_4),V_4))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(inverse(C),C))))
% Current number of equations to process: 1876
% Current number of ordered equations: 1
% Current number of rules: 64
% New rule produced :
% [124]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(inverse(C),C))))
% <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(A),multiply(B,
% multiply(
% inverse(V_4),V_4))))
% Current number of equations to process: 1876
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [125]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(
% inverse(
% multiply(V_3,B)),V_4))
% <->
% multiply(inverse(multiply(inverse(V_5),V_5)),multiply(inverse(multiply(V_3,C)),V_4))
% Rule
% [102]
% multiply(inverse(multiply(inverse(multiply(V_5,V_6)),multiply(V_5,V_3))),
% multiply(inverse(multiply(C,V_6)),V_4)) <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(
% multiply(C,V_3)),V_4))
% collapsed.
% Current number of equations to process: 1874
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced :
% [126]
% multiply(inverse(multiply(inverse(V_5),V_5)),multiply(inverse(multiply(V_3,C)),V_4))
% <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(
% inverse(
% multiply(V_3,B)),V_4))
% Rule
% [101]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(
% multiply(C,V_3)),V_4))
% <->
% multiply(inverse(multiply(inverse(multiply(V_5,V_6)),multiply(V_5,V_3))),
% multiply(inverse(multiply(C,V_6)),V_4)) collapsed.
% Current number of equations to process: 1874
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [127]
% multiply(inverse(multiply(V_4,multiply(V_5,C))),multiply(V_4,multiply(V_5,V_3)))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(inverse(B),B)),
% multiply(inverse(C),V_3)))
% Rule
% [95]
% multiply(inverse(multiply(V_5,multiply(V_6,V_3))),multiply(V_5,multiply(V_6,V_4)))
% <->
% multiply(inverse(multiply(inverse(c3),c3)),multiply(inverse(multiply(
% inverse(multiply(B,C)),
% multiply(B,C))),
% multiply(inverse(V_3),V_4)))
% collapsed.
% Current number of equations to process: 1870
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced :
% [128]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(inverse(B),B)),
% multiply(inverse(C),V_3))) <->
% multiply(inverse(multiply(V_4,multiply(V_5,C))),multiply(V_4,multiply(V_5,V_3)))
% Rule
% [94]
% multiply(inverse(multiply(inverse(c3),c3)),multiply(inverse(multiply(
% inverse(multiply(B,C)),
% multiply(B,C))),
% multiply(inverse(V_3),V_4))) <->
% multiply(inverse(multiply(V_5,multiply(V_6,V_3))),multiply(V_5,multiply(V_6,V_4)))
% collapsed.
% Current number of equations to process: 1870
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [129]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),B)),multiply(
% inverse(
% multiply(C,V_3)),
% multiply(C,V_4)))
% -> multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(V_3),V_4)))
% Current number of equations to process: 1870
% Current number of ordered equations: 1
% Current number of rules: 66
% New rule produced :
% [130]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(
% inverse(
% multiply(
% inverse(V_3),V_3)),V_4))
% -> multiply(inverse(multiply(c3,multiply(inverse(B),C))),multiply(c3,V_4))
% Current number of equations to process: 1870
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [131]
% multiply(inverse(multiply(c3,multiply(inverse(V_4),V_4))),multiply(c3,V_3))
% <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(
% inverse(
% multiply(
% inverse(C),B)),V_3))
% Current number of equations to process: 1865
% Current number of ordered equations: 1
% Current number of rules: 68
% Rule [131]
% multiply(inverse(multiply(c3,multiply(inverse(V_4),V_4))),multiply(c3,V_3))
% <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),
% multiply(inverse(multiply(inverse(C),B)),V_3)) is composed into 
% [131]
% multiply(inverse(multiply(c3,multiply(inverse(V_4),V_4))),multiply(c3,V_3))
% <-> multiply(inverse(multiply(c3,multiply(inverse(c3),c3))),multiply(c3,V_3))
% New rule produced :
% [132]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(
% inverse(
% multiply(
% inverse(C),B)),V_3))
% <->
% multiply(inverse(multiply(c3,multiply(inverse(V_4),V_4))),multiply(c3,V_3))
% Current number of equations to process: 1865
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [133]
% multiply(inverse(multiply(inverse(c3),c3)),multiply(inverse(multiply(
% inverse(c3),c3)),V_3))
% <->
% multiply(inverse(multiply(V_4,multiply(inverse(V_5),V_5))),multiply(V_4,V_3))
% Current number of equations to process: 1864
% Current number of ordered equations: 1
% Current number of rules: 70
% Rule [131]
% multiply(inverse(multiply(c3,multiply(inverse(V_4),V_4))),multiply(c3,V_3))
% <->
% multiply(inverse(multiply(c3,multiply(inverse(c3),c3))),multiply(c3,V_3)) is composed into 
% [131]
% multiply(inverse(multiply(c3,multiply(inverse(V_4),V_4))),multiply(c3,V_3))
% <->
% multiply(inverse(multiply(inverse(c3),c3)),multiply(inverse(multiply(
% inverse(c3),c3)),V_3))
% New rule produced :
% [134]
% multiply(inverse(multiply(V_4,multiply(inverse(V_5),V_5))),multiply(V_4,V_3))
% <->
% multiply(inverse(multiply(inverse(c3),c3)),multiply(inverse(multiply(
% inverse(c3),c3)),V_3))
% Current number of equations to process: 1864
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [135]
% multiply(inverse(multiply(C,multiply(V_3,multiply(inverse(V_4),V_4)))),
% multiply(C,multiply(V_3,B))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(inverse(A),A)),
% multiply(inverse(multiply(inverse(A),A)),B)))
% Current number of equations to process: 1862
% Current number of ordered equations: 1
% Current number of rules: 72
% New rule produced :
% [136]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(inverse(A),A)),
% multiply(inverse(multiply(inverse(A),A)),B)))
% <->
% multiply(inverse(multiply(C,multiply(V_3,multiply(inverse(V_4),V_4)))),
% multiply(C,multiply(V_3,B)))
% Current number of equations to process: 1862
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [137]
% multiply(inverse(multiply(C,multiply(V_3,A))),multiply(C,multiply(V_3,
% multiply(inverse(V_4),V_4))))
% <->
% multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,multiply(c3,
% multiply(inverse(B),B))))
% Current number of equations to process: 1861
% Current number of ordered equations: 1
% Current number of rules: 74
% New rule produced :
% [138]
% multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,multiply(c3,
% multiply(inverse(B),B))))
% <->
% multiply(inverse(multiply(C,multiply(V_3,A))),multiply(C,multiply(V_3,
% multiply(inverse(V_4),V_4))))
% Current number of equations to process: 1861
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [139]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),C))),
% multiply(inverse(multiply(V_3,B)),V_4)) <->
% multiply(inverse(multiply(V_5,multiply(V_3,C))),multiply(V_5,V_4))
% Current number of equations to process: 1855
% Current number of ordered equations: 3
% Current number of rules: 76
% New rule produced :
% [140]
% multiply(inverse(multiply(V_5,C)),multiply(V_5,multiply(A,V_4))) <->
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(
% inverse(V_3),V_3)),
% multiply(inverse(B),V_4)))
% Current number of equations to process: 1855
% Current number of ordered equations: 2
% Current number of rules: 77
% New rule produced :
% [141]
% multiply(inverse(multiply(V_5,multiply(V_3,C))),multiply(V_5,V_4)) <->
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),C))),
% multiply(inverse(multiply(V_3,B)),V_4))
% Current number of equations to process: 1855
% Current number of ordered equations: 1
% Current number of rules: 78
% Rule [140]
% multiply(inverse(multiply(V_5,C)),multiply(V_5,multiply(A,V_4))) <->
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(
% inverse(V_3),V_3)),
% multiply(inverse(B),V_4))) is composed into 
% [140]
% multiply(inverse(multiply(V_5,C)),multiply(V_5,multiply(A,V_4))) <->
% multiply(inverse(multiply(c3,C)),multiply(c3,multiply(A,V_4)))
% New rule produced :
% [142]
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(
% inverse(V_3),V_3)),
% multiply(inverse(B),V_4)))
% <-> multiply(inverse(multiply(V_5,C)),multiply(V_5,multiply(A,V_4)))
% Current number of equations to process: 1855
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [143]
% multiply(inverse(multiply(inverse(c3),c3)),multiply(inverse(multiply(
% inverse(c3),c3)),V_3))
% <->
% multiply(inverse(multiply(inverse(V_4),V_4)),multiply(inverse(multiply(
% inverse(V_5),V_5)),V_3))
% Current number of equations to process: 1841
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [144]
% multiply(inverse(multiply(inverse(V_4),V_4)),multiply(inverse(multiply(
% inverse(V_5),V_5)),V_3))
% <->
% multiply(inverse(multiply(inverse(c3),c3)),multiply(inverse(multiply(
% inverse(c3),c3)),V_3))
% Current number of equations to process: 1841
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [145]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,
% inverse(C))),
% multiply(B,inverse(V_3))))),C)
% -> V_3
% Rule
% [50]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,
% inverse(A))),
% multiply(B,inverse(C))))),A)
% -> C collapsed.
% Rule
% [76]
% multiply(multiply(multiply(inverse(multiply(A,B)),multiply(A,B)),inverse(
% multiply(
% inverse(
% multiply(C,
% inverse(V_3))),
% multiply(C,
% inverse(V_4))))),V_3)
% -> V_4 collapsed.
% Current number of equations to process: 1843
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [146]
% multiply(inverse(multiply(C,multiply(V_3,B))),multiply(C,multiply(V_3,
% multiply(inverse(V_4),V_4))))
% <->
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,multiply(
% inverse(c3),c3))))
% Current number of equations to process: 1854
% Current number of ordered equations: 1
% Current number of rules: 81
% New rule produced :
% [147]
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,multiply(
% inverse(c3),c3))))
% <->
% multiply(inverse(multiply(C,multiply(V_3,B))),multiply(C,multiply(V_3,
% multiply(inverse(V_4),V_4))))
% Current number of equations to process: 1854
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [148]
% multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(inverse(multiply(V_4,V_5)),
% multiply(V_4,V_5)))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),multiply(
% inverse(C),C)))
% Current number of equations to process: 1907
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [149]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),multiply(
% inverse(C),C)))
% <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(inverse(multiply(V_4,V_5)),
% multiply(V_4,V_5))))
% Current number of equations to process: 1907
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [150]
% multiply(inverse(multiply(V_3,inverse(V_4))),multiply(V_3,inverse(multiply(C,V_4))))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% inverse(multiply(C,B))))
% Rule
% [103]
% multiply(inverse(multiply(V_4,inverse(V_5))),multiply(V_4,inverse(multiply(V_3,V_5))))
% <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(
% inverse(C)),
% inverse(
% multiply(V_3,C))))
% collapsed.
% Current number of equations to process: 1964
% Current number of ordered equations: 1
% Current number of rules: 84
% New rule produced :
% [151]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% inverse(multiply(C,B)))) <->
% multiply(inverse(multiply(V_3,inverse(V_4))),multiply(V_3,inverse(multiply(C,V_4))))
% Rule
% [104]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(
% inverse(C)),
% inverse(
% multiply(V_3,C))))
% <->
% multiply(inverse(multiply(V_4,inverse(V_5))),multiply(V_4,inverse(multiply(V_3,V_5))))
% collapsed.
% Current number of equations to process: 1964
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [152]
% multiply(multiply(multiply(inverse(A),A),inverse(B)),A) <->
% multiply(multiply(multiply(inverse(C),C),inverse(B)),A)
% Current number of equations to process: 1966
% Current number of ordered equations: 1
% Current number of rules: 85
% New rule produced :
% [153]
% multiply(multiply(multiply(inverse(C),C),inverse(B)),A) <->
% multiply(multiply(multiply(inverse(A),A),inverse(B)),A)
% Current number of equations to process: 1966
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [154]
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),multiply(c3,
% multiply(A,
% multiply(
% inverse(c3),c3))))
% -> multiply(inverse(multiply(c3,c3)),multiply(c3,c3))
% Current number of equations to process: 1972
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [155]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(C))) <->
% multiply(inverse(multiply(multiply(inverse(V_3),V_3),B)),multiply(multiply(
% inverse(V_4),V_4),
% inverse(C)))
% Current number of equations to process: 1984
% Current number of ordered equations: 1
% Current number of rules: 88
% Rule [155]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(C))) <->
% multiply(inverse(multiply(multiply(inverse(V_3),V_3),B)),multiply(
% multiply(
% inverse(V_4),V_4),
% inverse(C))) is composed into 
% [155]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(C))) <->
% multiply(inverse(multiply(c3,B)),multiply(c3,inverse(C)))
% New rule produced :
% [156]
% multiply(inverse(multiply(multiply(inverse(V_3),V_3),B)),multiply(multiply(
% inverse(V_4),V_4),
% inverse(C))) <->
% multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))
% Current number of equations to process: 1984
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [157]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% inverse(multiply(multiply(multiply(
% inverse(C),C),
% inverse(V_3)),B))))
% -> V_3
% Current number of equations to process: 2008
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [158]
% multiply(inverse(multiply(multiply(inverse(A),A),B)),C) <->
% multiply(inverse(multiply(multiply(inverse(V_3),V_3),B)),C)
% Current number of equations to process: 2031
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [159]
% multiply(multiply(inverse(C),C),inverse(multiply(inverse(V_3),V_3))) <->
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,C))))
% Rule
% [106]
% multiply(multiply(multiply(inverse(multiply(A,B)),multiply(A,B)),inverse(
% multiply(
% inverse(C),C))),V_3)
% -> V_3 collapsed.
% Current number of equations to process: 2049
% Current number of ordered equations: 1
% Current number of rules: 91
% New rule produced :
% [160]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,A)),
% multiply(B,A)))),V_3) -> V_3
% Current number of equations to process: 2048
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced :
% [161]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,C)))) <->
% multiply(multiply(inverse(C),C),inverse(multiply(inverse(V_3),V_3)))
% Rule
% [160]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,A)),
% multiply(B,A)))),V_3) -> V_3
% collapsed.
% Current number of equations to process: 2049
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [162]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(c3),c3))),V_3)
% -> V_3
% Current number of equations to process: 2048
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [163]
% multiply(multiply(inverse(C),C),inverse(B)) <->
% multiply(multiply(inverse(A),A),inverse(B))
% Rule
% [152]
% multiply(multiply(multiply(inverse(A),A),inverse(B)),A) <->
% multiply(multiply(multiply(inverse(C),C),inverse(B)),A) collapsed.
% Rule
% [153]
% multiply(multiply(multiply(inverse(C),C),inverse(B)),A) <->
% multiply(multiply(multiply(inverse(A),A),inverse(B)),A) collapsed.
% Current number of equations to process: 2055
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [164]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(inverse(B),B)),
% multiply(inverse(inverse(C)),
% inverse(multiply(V_3,C)))))) -> V_3
% Current number of equations to process: 2063
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [165]
% multiply(c3,inverse(multiply(multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(
% multiply(c3,c3)),
% multiply(c3,c3)))),B)))
% -> multiply(c3,inverse(B))
% Current number of equations to process: 2062
% Current number of ordered equations: 0
% Current number of rules: 94
% Rule [154]
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),
% multiply(c3,multiply(A,multiply(inverse(c3),c3)))) ->
% multiply(inverse(multiply(c3,c3)),multiply(c3,c3)) is composed into 
% [154]
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),multiply(c3,
% multiply(A,
% multiply(
% inverse(c3),c3))))
% -> multiply(inverse(c3),c3)
% Rule [149]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),multiply(
% inverse(C),C)))
% <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(inverse(
% multiply(V_4,V_5)),
% multiply(V_4,V_5)))) is composed into 
% [149]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),multiply(
% inverse(C),C)))
% <-> multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(inverse(c3),c3)))
% Rule [92]
% multiply(inverse(multiply(V_4,inverse(V_5))),multiply(V_4,inverse(
% multiply(
% inverse(B),V_5))))
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% inverse(
% multiply(C,V_3)),
% multiply(C,V_3))))) is composed into 
% [92]
% multiply(inverse(multiply(V_4,inverse(V_5))),multiply(V_4,inverse(multiply(
% inverse(B),V_5))))
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% inverse(c3),c3))))
% Rule [77]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(C),C))) <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(inverse(
% multiply(V_4,V_5)),
% multiply(V_4,V_5)))) is composed into 
% [77]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(C),C))) <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(inverse(c3),c3)))
% Rule [65]
% multiply(A,multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(
% multiply(
% multiply(
% multiply(
% inverse(C),C),A),C)))))
% <-> multiply(inverse(multiply(V_3,V_4)),multiply(V_3,V_4)) is composed into 
% [65]
% multiply(A,multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(
% multiply(
% multiply(
% multiply(
% inverse(C),C),A),C)))))
% -> multiply(inverse(c3),c3)
% New rule produced : [166] multiply(inverse(B),B) <-> multiply(inverse(A),A)
% Rule
% [45]
% multiply(inverse(A),A) <-> multiply(inverse(multiply(B,C)),multiply(B,C))
% collapsed.
% Rule
% [46]
% multiply(inverse(multiply(c3,V_3)),multiply(c3,V_3)) <->
% multiply(inverse(multiply(c3,c3)),multiply(c3,c3)) collapsed.
% Rule
% [47]
% multiply(inverse(multiply(c3,V_3)),multiply(c3,V_3)) <->
% multiply(inverse(multiply(c3,c3)),multiply(c3,c3)) collapsed.
% Rule
% [68]
% multiply(inverse(multiply(A,B)),multiply(A,B)) <->
% multiply(inverse(multiply(c3,c3)),multiply(c3,c3)) collapsed.
% Rule
% [91]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% inverse(multiply(C,V_3)),
% multiply(C,V_3)))))
% <->
% multiply(inverse(multiply(V_4,inverse(V_5))),multiply(V_4,inverse(multiply(
% inverse(B),V_5))))
% collapsed.
% Rule
% [100]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,inverse(A))),
% multiply(B,inverse(multiply(inverse(
% multiply(C,V_3)),
% multiply(C,V_3)))))))
% -> inverse(A) collapsed.
% Rule
% [143]
% multiply(inverse(multiply(inverse(c3),c3)),multiply(inverse(multiply(
% inverse(c3),c3)),V_3))
% <->
% multiply(inverse(multiply(inverse(V_4),V_4)),multiply(inverse(multiply(
% inverse(V_5),V_5)),V_3))
% collapsed.
% Rule
% [144]
% multiply(inverse(multiply(inverse(V_4),V_4)),multiply(inverse(multiply(
% inverse(V_5),V_5)),V_3))
% <->
% multiply(inverse(multiply(inverse(c3),c3)),multiply(inverse(multiply(
% inverse(c3),c3)),V_3))
% collapsed.
% Rule
% [148]
% multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(inverse(multiply(V_4,V_5)),
% multiply(V_4,V_5)))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),multiply(
% inverse(C),C)))
% collapsed.
% Rule
% [158]
% multiply(inverse(multiply(multiply(inverse(A),A),B)),C) <->
% multiply(inverse(multiply(multiply(inverse(V_3),V_3),B)),C) collapsed.
% Rule
% [159]
% multiply(multiply(inverse(C),C),inverse(multiply(inverse(V_3),V_3))) <->
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,C)))) collapsed.
% Rule
% [161]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,C)))) <->
% multiply(multiply(inverse(C),C),inverse(multiply(inverse(V_3),V_3)))
% collapsed.
% Rule
% [163]
% multiply(multiply(inverse(C),C),inverse(B)) <->
% multiply(multiply(inverse(A),A),inverse(B)) collapsed.
% Rule
% [165]
% multiply(c3,inverse(multiply(multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(
% multiply(c3,c3)),
% multiply(c3,c3)))),B)))
% -> multiply(c3,inverse(B)) collapsed.
% Current number of equations to process: 2104
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [167]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,inverse(A))),
% multiply(B,inverse(multiply(inverse(c3),c3))))))
% -> inverse(A)
% Current number of equations to process: 2110
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [168]
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(
% multiply(
% inverse(B),B)),
% multiply(inverse(
% inverse(C)),V_3)))),C))
% -> V_3
% Current number of equations to process: 2143
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [169]
% multiply(A,multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(
% multiply(
% multiply(
% multiply(
% inverse(V_3),V_3),A),C)))))
% -> multiply(inverse(c3),c3)
% Rule
% [65]
% multiply(A,multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(
% multiply(
% multiply(
% multiply(
% inverse(C),C),A),C)))))
% -> multiply(inverse(c3),c3) collapsed.
% Current number of equations to process: 2153
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [170]
% multiply(inverse(inverse(A)),inverse(multiply(multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(
% multiply(C,V_3)),
% multiply(C,V_4)))),A)))
% -> multiply(inverse(V_3),V_4)
% Current number of equations to process: 2152
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [171]
% multiply(A,multiply(multiply(multiply(inverse(B),B),inverse(multiply(
% inverse(multiply(C,
% inverse(V_3))),
% multiply(C,A)))),V_4))
% -> multiply(inverse(multiply(c3,V_3)),multiply(c3,V_4))
% Rule
% [22]
% multiply(A,multiply(multiply(multiply(inverse(B),B),inverse(multiply(
% inverse(multiply(C,
% inverse(B))),
% multiply(C,A)))),V_3))
% <-> multiply(inverse(multiply(V_4,B)),multiply(V_4,V_3)) collapsed.
% Current number of equations to process: 2151
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [172]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(c3),c3))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,inverse(multiply(inverse(V_4),V_4))))
% Current number of equations to process: 2149
% Current number of ordered equations: 1
% Current number of rules: 85
% New rule produced :
% [173]
% multiply(inverse(multiply(c3,B)),multiply(c3,inverse(multiply(inverse(V_4),V_4))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(c3),c3))))
% Current number of equations to process: 2149
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [174]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),C))),
% multiply(inverse(multiply(V_3,B)),V_4)) <->
% multiply(inverse(multiply(inverse(V_5),V_5)),multiply(inverse(multiply(V_3,C)),V_4))
% Current number of equations to process: 2145
% Current number of ordered equations: 1
% Current number of rules: 87
% New rule produced :
% [175]
% multiply(inverse(multiply(inverse(V_5),V_5)),multiply(inverse(multiply(V_3,C)),V_4))
% <->
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),C))),
% multiply(inverse(multiply(V_3,B)),V_4))
% Current number of equations to process: 2145
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [176]
% multiply(inverse(multiply(V_4,multiply(V_5,multiply(V_6,C)))),multiply(V_4,
% multiply(V_5,
% multiply(V_6,V_3))))
% <->
% multiply(inverse(multiply(c3,multiply(A,multiply(B,C)))),multiply(c3,
% multiply(A,multiply(B,V_3))))
% Current number of equations to process: 2139
% Current number of ordered equations: 1
% Current number of rules: 89
% New rule produced :
% [177]
% multiply(inverse(multiply(c3,multiply(A,multiply(B,C)))),multiply(c3,
% multiply(A,multiply(B,V_3))))
% <->
% multiply(inverse(multiply(V_4,multiply(V_5,multiply(V_6,C)))),multiply(V_4,
% multiply(V_5,
% multiply(V_6,V_3))))
% Current number of equations to process: 2139
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [178]
% multiply(inverse(multiply(V_3,multiply(V_4,inverse(multiply(B,V_5))))),
% multiply(V_3,multiply(V_4,inverse(V_5)))) <->
% multiply(inverse(multiply(c3,multiply(A,inverse(multiply(B,C))))),multiply(c3,
% multiply(A,
% inverse(C))))
% Current number of equations to process: 2138
% Current number of ordered equations: 1
% Current number of rules: 91
% New rule produced :
% [179]
% multiply(inverse(multiply(c3,multiply(A,inverse(multiply(B,C))))),multiply(c3,
% multiply(A,
% inverse(C))))
% <->
% multiply(inverse(multiply(V_3,multiply(V_4,inverse(multiply(B,V_5))))),
% multiply(V_3,multiply(V_4,inverse(V_5))))
% Current number of equations to process: 2138
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [180]
% multiply(inverse(multiply(inverse(multiply(A,inverse(B))),C)),V_3) <->
% multiply(inverse(multiply(c3,C)),multiply(c3,multiply(A,inverse(multiply(
% multiply(
% multiply(
% inverse(V_4),V_4),
% inverse(V_3)),B)))))
% Current number of equations to process: 2137
% Current number of ordered equations: 1
% Current number of rules: 93
% New rule produced :
% [181]
% multiply(inverse(multiply(c3,C)),multiply(c3,multiply(A,inverse(multiply(
% multiply(
% multiply(
% inverse(V_4),V_4),
% inverse(V_3)),B)))))
% <-> multiply(inverse(multiply(inverse(multiply(A,inverse(B))),C)),V_3)
% Current number of equations to process: 2137
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [182]
% multiply(inverse(multiply(inverse(multiply(A,inverse(B))),C)),V_3) <->
% multiply(inverse(multiply(V_4,C)),multiply(V_4,multiply(A,inverse(multiply(
% multiply(
% multiply(
% inverse(V_5),V_5),
% inverse(V_3)),B)))))
% Rule
% [10]
% multiply(inverse(multiply(inverse(multiply(C,inverse(V_3))),inverse(B))),V_4)
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(C,inverse(
% multiply(
% multiply(
% multiply(
% inverse(V_3),V_3),
% inverse(V_4)),V_3)))))
% collapsed.
% Rule
% [180]
% multiply(inverse(multiply(inverse(multiply(A,inverse(B))),C)),V_3) <->
% multiply(inverse(multiply(c3,C)),multiply(c3,multiply(A,inverse(multiply(
% multiply(
% multiply(
% inverse(V_4),V_4),
% inverse(V_3)),B)))))
% collapsed.
% Current number of equations to process: 2136
% Current number of ordered equations: 1
% Current number of rules: 93
% New rule produced :
% [183]
% multiply(inverse(multiply(V_4,C)),multiply(V_4,multiply(A,inverse(multiply(
% multiply(
% multiply(
% inverse(V_5),V_5),
% inverse(V_3)),B)))))
% <-> multiply(inverse(multiply(inverse(multiply(A,inverse(B))),C)),V_3)
% Rule
% [29]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(
% multiply(
% multiply(
% inverse(V_3),V_3),
% inverse(V_4)),V_3)))))
% <-> multiply(inverse(multiply(inverse(multiply(C,inverse(V_3))),B)),V_4)
% collapsed.
% Rule
% [181]
% multiply(inverse(multiply(c3,C)),multiply(c3,multiply(A,inverse(multiply(
% multiply(
% multiply(
% inverse(V_4),V_4),
% inverse(V_3)),B)))))
% <-> multiply(inverse(multiply(inverse(multiply(A,inverse(B))),C)),V_3)
% collapsed.
% Current number of equations to process: 2136
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [184]
% multiply(inverse(multiply(V_4,C)),multiply(V_4,V_3)) <->
% multiply(inverse(multiply(multiply(multiply(inverse(A),A),inverse(B)),C)),
% multiply(multiply(multiply(inverse(C),C),inverse(B)),V_3))
% Current number of equations to process: 2133
% Current number of ordered equations: 1
% Current number of rules: 93
% Rule [184]
% multiply(inverse(multiply(V_4,C)),multiply(V_4,V_3)) <->
% multiply(inverse(multiply(multiply(multiply(inverse(A),A),inverse(B)),C)),
% multiply(multiply(multiply(inverse(C),C),inverse(B)),V_3)) is composed into 
% [184]
% multiply(inverse(multiply(V_4,C)),multiply(V_4,V_3)) <->
% multiply(inverse(multiply(c3,C)),multiply(c3,V_3))
% New rule produced :
% [185]
% multiply(inverse(multiply(multiply(multiply(inverse(A),A),inverse(B)),C)),
% multiply(multiply(multiply(inverse(C),C),inverse(B)),V_3)) <->
% multiply(inverse(multiply(V_4,C)),multiply(V_4,V_3))
% Current number of equations to process: 2133
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [186]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,inverse(C))),
% multiply(B,inverse(multiply(inverse(c3),c3))))))
% -> inverse(C)
% Rule
% [167]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,inverse(A))),
% multiply(B,inverse(multiply(inverse(c3),c3))))))
% -> inverse(A) collapsed.
% Current number of equations to process: 2131
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [187]
% multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(inverse(
% multiply(
% multiply(
% inverse(V_4),V_4),
% inverse(V_5))),C))),V_5)
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,B))))
% Rule
% [5]
% multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(inverse(
% multiply(
% multiply(
% inverse(B),B),
% inverse(V_3))),C))),V_3)
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,B))))
% collapsed.
% Current number of equations to process: 2130
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [188]
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(
% multiply(B,
% inverse(C))),V_3))),C))
% <->
% inverse(multiply(multiply(multiply(inverse(V_4),V_4),inverse(multiply(
% inverse(
% multiply(B,
% inverse(V_5))),V_3))),V_5))
% Current number of equations to process: 2127
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [189]
% multiply(inverse(inverse(A)),inverse(multiply(multiply(multiply(inverse(A),A),
% inverse(multiply(inverse(
% multiply(
% inverse(c3),c3)),V_3))),A)))
% -> V_3
% Current number of equations to process: 2124
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [190]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(C,V_3)),
% multiply(C,V_4)))) <->
% multiply(inverse(multiply(inverse(V_5),V_5)),multiply(inverse(B),multiply(
% inverse(
% multiply(V_6,V_3)),
% multiply(V_6,V_4))))
% Current number of equations to process: 2117
% Current number of ordered equations: 3
% Current number of rules: 97
% New rule produced :
% [191]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(
% inverse(C),C)),
% multiply(inverse(V_3),V_4)))) <->
% multiply(inverse(multiply(V_5,B)),multiply(V_5,multiply(inverse(multiply(V_6,V_3)),
% multiply(V_6,V_4))))
% Current number of equations to process: 2117
% Current number of ordered equations: 2
% Current number of rules: 98
% New rule produced :
% [192]
% multiply(inverse(multiply(V_5,B)),multiply(V_5,multiply(inverse(multiply(V_6,V_3)),
% multiply(V_6,V_4)))) <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(
% inverse(C),C)),
% multiply(inverse(V_3),V_4))))
% Current number of equations to process: 2117
% Current number of ordered equations: 1
% Current number of rules: 99
% New rule produced :
% [193]
% multiply(inverse(multiply(inverse(V_5),V_5)),multiply(inverse(B),multiply(
% inverse(
% multiply(V_6,V_3)),
% multiply(V_6,V_4))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(C,V_3)),
% multiply(C,V_4))))
% Current number of equations to process: 2117
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [194]
% multiply(inverse(multiply(inverse(c3),c3)),multiply(inverse(multiply(c3,A)),
% multiply(c3,multiply(inverse(B),B))))
% <->
% multiply(inverse(multiply(C,multiply(V_3,A))),multiply(C,multiply(V_3,
% multiply(inverse(V_4),V_4))))
% Current number of equations to process: 2113
% Current number of ordered equations: 1
% Current number of rules: 101
% New rule produced :
% [195]
% multiply(inverse(multiply(C,multiply(V_3,A))),multiply(C,multiply(V_3,
% multiply(inverse(V_4),V_4))))
% <->
% multiply(inverse(multiply(inverse(c3),c3)),multiply(inverse(multiply(c3,A)),
% multiply(c3,multiply(inverse(B),B))))
% Current number of equations to process: 2113
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [196]
% multiply(inverse(multiply(V_3,multiply(V_4,B))),multiply(V_3,multiply(V_4,
% multiply(
% inverse(V_5),V_5))))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(c3,B)),
% multiply(c3,multiply(inverse(C),C))))
% Rule
% [195]
% multiply(inverse(multiply(C,multiply(V_3,A))),multiply(C,multiply(V_3,
% multiply(inverse(V_4),V_4))))
% <->
% multiply(inverse(multiply(inverse(c3),c3)),multiply(inverse(multiply(c3,A)),
% multiply(c3,multiply(inverse(B),B))))
% collapsed.
% Current number of equations to process: 2112
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [197]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(c3,B)),
% multiply(c3,multiply(inverse(C),C))))
% <->
% multiply(inverse(multiply(V_3,multiply(V_4,B))),multiply(V_3,multiply(V_4,
% multiply(
% inverse(V_5),V_5))))
% Rule
% [194]
% multiply(inverse(multiply(inverse(c3),c3)),multiply(inverse(multiply(c3,A)),
% multiply(c3,multiply(inverse(B),B))))
% <->
% multiply(inverse(multiply(C,multiply(V_3,A))),multiply(C,multiply(V_3,
% multiply(inverse(V_4),V_4))))
% collapsed.
% Current number of equations to process: 2112
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [198]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(multiply(C,
% inverse(V_3))),
% multiply(C,inverse(
% multiply(V_4,V_3)))))))
% <-> multiply(inverse(multiply(multiply(inverse(V_5),V_5),B)),V_4)
% Rule
% [37]
% multiply(inverse(multiply(V_3,B)),multiply(V_3,inverse(multiply(inverse(
% multiply(V_4,
% inverse(A))),
% multiply(V_4,inverse(
% multiply(C,A)))))))
% <-> multiply(inverse(multiply(multiply(inverse(A),A),B)),C) collapsed.
% Current number of equations to process: 2110
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [199]
% multiply(inverse(inverse(A)),inverse(multiply(multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(
% multiply(
% inverse(c3),c3)),V_4))),A)))
% -> V_4
% Rule
% [189]
% multiply(inverse(inverse(A)),inverse(multiply(multiply(multiply(inverse(A),A),
% inverse(multiply(inverse(
% multiply(
% inverse(c3),c3)),V_3))),A)))
% -> V_3 collapsed.
% Current number of equations to process: 2105
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [200]
% multiply(inverse(multiply(V_3,inverse(C))),multiply(V_3,inverse(multiply(
% inverse(c3),c3))))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% inverse(multiply(inverse(C),B))))
% Current number of equations to process: 2144
% Current number of ordered equations: 1
% Current number of rules: 103
% New rule produced :
% [201]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% inverse(multiply(inverse(C),B))))
% <->
% multiply(inverse(multiply(V_3,inverse(C))),multiply(V_3,inverse(multiply(
% inverse(c3),c3))))
% Current number of equations to process: 2144
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [202]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,B))))
% <->
% multiply(inverse(multiply(V_3,C)),multiply(V_3,inverse(multiply(inverse(c3),c3))))
% Rule
% [92]
% multiply(inverse(multiply(V_4,inverse(V_5))),multiply(V_4,inverse(multiply(
% inverse(B),V_5))))
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% inverse(c3),c3))))
% collapsed.
% Current number of equations to process: 2154
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [203]
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(V_3,B)),V_4))
% <->
% multiply(inverse(multiply(inverse(multiply(A,inverse(V_5))),C)),multiply(
% inverse(
% multiply(V_3,
% inverse(V_5))),V_4))
% Rule
% [93]
% multiply(inverse(multiply(inverse(multiply(A,inverse(B))),C)),multiply(
% inverse(
% multiply(V_3,
% inverse(B))),V_4))
% <->
% multiply(inverse(multiply(inverse(multiply(A,inverse(V_5))),C)),multiply(
% inverse(
% multiply(V_3,
% inverse(V_5))),V_4))
% collapsed.
% Current number of equations to process: 2195
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [204]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(B),B))),
% multiply(C,multiply(V_3,A))) -> multiply(C,multiply(V_3,A))
% Current number of equations to process: 2249
% Current number of ordered equations: 0
% Current number of rules: 105
% Rule [201]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% inverse(multiply(inverse(C),B))))
% <->
% multiply(inverse(multiply(V_3,inverse(C))),multiply(V_3,inverse(
% multiply(
% inverse(c3),c3)))) is composed into 
% [201]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% inverse(multiply(inverse(C),B))))
% <-> multiply(inverse(inverse(C)),inverse(multiply(inverse(c3),c3)))
% Rule [187]
% multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(inverse(
% multiply(
% multiply(
% inverse(V_4),V_4),
% inverse(V_5))),C))),V_5)
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,B)))) is composed into 
% [187]
% multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(inverse(
% multiply(
% multiply(
% inverse(V_4),V_4),
% inverse(V_5))),C))),V_5)
% <-> multiply(inverse(inverse(B)),inverse(multiply(C,B)))
% Rule [185]
% multiply(inverse(multiply(multiply(multiply(inverse(A),A),inverse(B)),C)),
% multiply(multiply(multiply(inverse(C),C),inverse(B)),V_3)) <->
% multiply(inverse(multiply(V_4,C)),multiply(V_4,V_3)) is composed into 
% [185]
% multiply(inverse(multiply(multiply(multiply(inverse(A),A),inverse(B)),C)),
% multiply(multiply(multiply(inverse(C),C),inverse(B)),V_3)) ->
% multiply(inverse(C),V_3)
% Rule [182]
% multiply(inverse(multiply(inverse(multiply(A,inverse(B))),C)),V_3) <->
% multiply(inverse(multiply(V_4,C)),multiply(V_4,multiply(A,inverse(
% multiply(
% multiply(
% multiply(
% inverse(V_5),V_5),
% inverse(V_3)),B))))) is composed into 
% [182]
% multiply(inverse(multiply(inverse(multiply(A,inverse(B))),C)),V_3) <->
% multiply(inverse(C),multiply(A,inverse(multiply(multiply(multiply(inverse(V_5),V_5),
% inverse(V_3)),B))))
% Rule [156]
% multiply(inverse(multiply(multiply(inverse(V_3),V_3),B)),multiply(
% multiply(
% inverse(V_4),V_4),
% inverse(C)))
% <-> multiply(inverse(multiply(A,B)),multiply(A,inverse(C))) is composed into 
% [156]
% multiply(inverse(multiply(multiply(inverse(V_3),V_3),B)),multiply(multiply(
% inverse(V_4),V_4),
% inverse(C))) ->
% multiply(inverse(B),inverse(C))
% Rule [151]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% inverse(multiply(C,B)))) <->
% multiply(inverse(multiply(V_3,inverse(V_4))),multiply(V_3,inverse(
% multiply(C,V_4)))) is composed into 
% [151]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% inverse(multiply(C,B)))) <->
% multiply(inverse(inverse(V_4)),inverse(multiply(C,V_4)))
% Rule [149]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),multiply(
% inverse(C),C)))
% <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(inverse(c3),c3))) is composed into 
% [149]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),multiply(
% inverse(C),C)))
% <-> multiply(inverse(B),multiply(inverse(c3),c3))
% Rule [142]
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(
% inverse(V_3),V_3)),
% multiply(inverse(B),V_4)))
% <-> multiply(inverse(multiply(V_5,C)),multiply(V_5,multiply(A,V_4))) is composed into 
% [142]
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(
% inverse(V_3),V_3)),
% multiply(inverse(B),V_4)))
% -> multiply(inverse(C),multiply(A,V_4))
% Rule [139]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(
% inverse(B),C))),
% multiply(inverse(multiply(V_3,B)),V_4)) <->
% multiply(inverse(multiply(V_5,multiply(V_3,C))),multiply(V_5,V_4)) is composed into 
% [139]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),C))),
% multiply(inverse(multiply(V_3,B)),V_4)) <->
% multiply(inverse(multiply(V_3,C)),V_4)
% Rule [136]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(
% inverse(A),A)),
% multiply(inverse(multiply(
% inverse(A),A)),B)))
% <->
% multiply(inverse(multiply(C,multiply(V_3,multiply(inverse(V_4),V_4)))),
% multiply(C,multiply(V_3,B))) is composed into [136]
% multiply(inverse(multiply(
% inverse(A),A)),
% multiply(inverse(multiply(
% inverse(A),A)),
% multiply(inverse(multiply(
% inverse(A),A)),B)))
% <->
% multiply(inverse(multiply(
% inverse(V_4),V_4)),B)
% Rule [133]
% multiply(inverse(multiply(inverse(c3),c3)),multiply(inverse(multiply(
% inverse(c3),c3)),V_3))
% <->
% multiply(inverse(multiply(V_4,multiply(inverse(V_5),V_5))),multiply(V_4,V_3)) is composed into 
% [133]
% multiply(inverse(multiply(inverse(c3),c3)),multiply(inverse(multiply(
% inverse(c3),c3)),V_3))
% <-> multiply(inverse(multiply(inverse(V_5),V_5)),V_3)
% Rule [128]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(
% inverse(B),B)),
% multiply(inverse(C),V_3))) <->
% multiply(inverse(multiply(V_4,multiply(V_5,C))),multiply(V_4,multiply(V_5,V_3))) is composed into 
% [128]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(inverse(B),B)),
% multiply(inverse(C),V_3))) ->
% multiply(inverse(C),V_3)
% Rule [126]
% multiply(inverse(multiply(inverse(V_5),V_5)),multiply(inverse(multiply(V_3,C)),V_4))
% <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),
% multiply(inverse(multiply(V_3,B)),V_4)) is composed into [126]
% multiply(
% inverse(
% multiply(
% inverse(V_5),V_5)),
% multiply(
% inverse(
% multiply(V_3,C)),V_4))
% <->
% multiply(
% inverse(
% multiply(
% inverse(B),C)),
% multiply(
% inverse(
% multiply(V_3,B)),V_4))
% Rule [123]
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(A),
% multiply(B,multiply(
% inverse(V_4),V_4))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(
% inverse(C),C)))) is composed into 
% [123]
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(A),multiply(B,
% multiply(
% inverse(V_4),V_4))))
% <-> multiply(inverse(A),multiply(B,multiply(inverse(C),C)))
% Rule [109]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(A),multiply(
% inverse(V_3),V_3)))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(inverse(B),B))) is composed into 
% [109]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(A),multiply(
% inverse(V_3),V_3)))
% <-> multiply(inverse(A),multiply(inverse(B),B))
% Rule [108]
% multiply(inverse(multiply(multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(B),B))),C)),A)
% <-> multiply(inverse(multiply(V_3,C)),multiply(V_3,A)) is composed into 
% [108]
% multiply(inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(
% inverse(B),B))),C)),A)
% -> multiply(inverse(C),A)
% Rule [105]
% multiply(inverse(A),multiply(multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(B),B))),C))
% <-> multiply(inverse(multiply(V_3,A)),multiply(V_3,C)) is composed into 
% [105]
% multiply(inverse(A),multiply(multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(B),B))),C))
% -> multiply(inverse(A),C)
% Rule [73]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(C),C)) <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,A)) is composed into 
% [73]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(C),C)) ->
% multiply(inverse(B),A)
% Rule [71]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),C)) <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,C)) is composed into 
% [71]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),C)) ->
% multiply(inverse(B),C)
% Rule [38]
% multiply(inverse(multiply(multiply(inverse(A),A),B)),C) <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,inverse(multiply(
% inverse(multiply(V_4,
% inverse(A))),
% multiply(V_4,
% inverse(multiply(C,A))))))) is composed into 
% [38]
% multiply(inverse(multiply(multiply(inverse(A),A),B)),C) <->
% multiply(inverse(B),inverse(multiply(inverse(inverse(A)),inverse(multiply(C,A)))))
% New rule produced :
% [205]
% multiply(inverse(multiply(C,A)),multiply(C,B)) -> multiply(inverse(A),B)
% Rule
% [17]
% multiply(inverse(multiply(A,B)),multiply(A,C)) <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,C)) collapsed.
% Rule
% [18]
% multiply(inverse(multiply(V_5,C)),multiply(V_5,multiply(A,V_4))) <->
% multiply(inverse(multiply(c3,C)),multiply(c3,multiply(A,V_4))) collapsed.
% Rule
% [19]
% multiply(inverse(multiply(V_5,multiply(V_3,C))),multiply(V_5,V_4)) <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(
% inverse(
% multiply(V_3,B)),V_4))
% collapsed.
% Rule
% [20]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(
% inverse(
% multiply(V_3,B)),V_4))
% <-> multiply(inverse(multiply(V_5,multiply(V_3,C))),multiply(V_5,V_4))
% collapsed.
% Rule
% [21]
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(V_3,B)),
% multiply(V_3,V_4))) <->
% multiply(inverse(multiply(V_5,C)),multiply(V_5,multiply(A,V_4))) collapsed.
% Rule
% [27]
% multiply(inverse(multiply(A,multiply(B,C))),multiply(A,multiply(B,V_3))) <->
% multiply(inverse(multiply(V_4,multiply(V_5,C))),multiply(V_4,multiply(V_5,V_3)))
% collapsed.
% Rule
% [33]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(
% inverse(
% multiply(V_3,B)),V_4))
% <->
% multiply(inverse(multiply(inverse(multiply(V_5,V_6)),multiply(V_5,C))),
% multiply(inverse(multiply(V_3,V_6)),V_4)) collapsed.
% Rule
% [34]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(C,V_3)),
% multiply(C,V_4)))) <->
% multiply(inverse(multiply(V_5,B)),multiply(V_5,multiply(inverse(multiply(V_6,V_3)),
% multiply(V_6,V_4))))
% collapsed.
% Rule
% [53]
% multiply(inverse(multiply(V_4,B)),multiply(V_4,A)) <->
% multiply(inverse(multiply(c3,B)),multiply(c3,A)) collapsed.
% Rule
% [70]
% multiply(inverse(multiply(V_3,B)),multiply(V_3,C)) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),C)) collapsed.
% Rule
% [72]
% multiply(inverse(multiply(V_3,B)),multiply(V_3,A)) <->
% multiply(inverse(multiply(c3,B)),multiply(c3,A)) collapsed.
% Rule
% [74]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(C),C))) <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(V_3),V_3)))
% collapsed.
% Rule
% [77]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(C),C))) <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(inverse(c3),c3)))
% collapsed.
% Rule
% [85]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,B))))
% <->
% multiply(inverse(multiply(V_3,inverse(V_4))),multiply(V_3,inverse(multiply(C,V_4))))
% collapsed.
% Rule
% [86]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% multiply(
% multiply(
% inverse(C),C),
% inverse(V_3)),B))))
% -> V_3 collapsed.
% Rule
% [87]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,inverse(C))),
% multiply(B,inverse(multiply(V_3,C))))))
% -> V_3 collapsed.
% Rule
% [90]
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(
% multiply(B,
% inverse(C))),
% multiply(B,V_3)))),C))
% -> V_3 collapsed.
% Rule
% [98]
% multiply(inverse(multiply(V_5,multiply(V_6,C))),multiply(V_5,multiply(V_6,B)))
% <->
% multiply(inverse(multiply(c3,multiply(c3,C))),multiply(c3,multiply(c3,B)))
% collapsed.
% Rule
% [107]
% multiply(inverse(multiply(V_3,C)),multiply(V_3,A)) <->
% multiply(inverse(multiply(c3,C)),multiply(c3,A)) collapsed.
% Rule
% [110]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(inverse(B),B))) <->
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(A),multiply(
% inverse(V_3),V_3)))
% collapsed.
% Rule
% [112]
% multiply(inverse(multiply(inverse(V_4),V_4)),multiply(inverse(multiply(V_5,C)),
% multiply(V_5,V_3))) <->
% multiply(inverse(multiply(A,multiply(B,C))),multiply(A,multiply(B,V_3)))
% collapsed.
% Rule
% [113]
% multiply(inverse(multiply(A,multiply(B,C))),multiply(A,multiply(B,V_3))) <->
% multiply(inverse(multiply(inverse(V_4),V_4)),multiply(inverse(multiply(V_5,C)),
% multiply(V_5,V_3))) collapsed.
% Rule
% [114]
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,C))) <->
% multiply(inverse(multiply(V_3,multiply(inverse(V_4),V_4))),multiply(V_3,
% multiply(inverse(B),C)))
% collapsed.
% Rule
% [115]
% multiply(inverse(multiply(V_3,multiply(inverse(V_4),V_4))),multiply(V_3,
% multiply(inverse(B),C)))
% <-> multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,C)))
% collapsed.
% Rule
% [117]
% multiply(inverse(multiply(V_3,multiply(inverse(C),B))),multiply(V_3,multiply(
% inverse(V_4),V_4)))
% <-> multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,C)))
% collapsed.
% Rule
% [119]
% multiply(inverse(multiply(V_4,multiply(inverse(V_5),V_5))),multiply(V_4,
% multiply(inverse(C),V_3)))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(B,C)),
% multiply(B,V_3))) collapsed.
% Rule
% [120]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(B,C)),
% multiply(B,V_3))) <->
% multiply(inverse(multiply(V_4,multiply(inverse(V_5),V_5))),multiply(V_4,
% multiply(inverse(C),V_3)))
% collapsed.
% Rule
% [121]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(inverse(C),C))))
% <->
% multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(B,multiply(inverse(V_4),V_4))))
% collapsed.
% Rule
% [122]
% multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(B,multiply(inverse(V_4),V_4))))
% <->
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(inverse(C),C))))
% collapsed.
% Rule
% [124]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(B,multiply(inverse(C),C))))
% <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(A),multiply(B,
% multiply(
% inverse(V_4),V_4))))
% collapsed.
% Rule
% [125]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(
% inverse(
% multiply(V_3,B)),V_4))
% <->
% multiply(inverse(multiply(inverse(V_5),V_5)),multiply(inverse(multiply(V_3,C)),V_4))
% collapsed.
% Rule
% [127]
% multiply(inverse(multiply(V_4,multiply(V_5,C))),multiply(V_4,multiply(V_5,V_3)))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(inverse(B),B)),
% multiply(inverse(C),V_3)))
% collapsed.
% Rule
% [129]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),B)),multiply(
% inverse(
% multiply(C,V_3)),
% multiply(C,V_4)))
% -> multiply(inverse(multiply(c3,B)),multiply(c3,multiply(inverse(V_3),V_4)))
% collapsed.
% Rule
% [130]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(
% inverse(
% multiply(
% inverse(V_3),V_3)),V_4))
% -> multiply(inverse(multiply(c3,multiply(inverse(B),C))),multiply(c3,V_4))
% collapsed.
% Rule
% [131]
% multiply(inverse(multiply(c3,multiply(inverse(V_4),V_4))),multiply(c3,V_3))
% <->
% multiply(inverse(multiply(inverse(c3),c3)),multiply(inverse(multiply(
% inverse(c3),c3)),V_3))
% collapsed.
% Rule
% [132]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(
% inverse(
% multiply(
% inverse(C),B)),V_3))
% <->
% multiply(inverse(multiply(c3,multiply(inverse(V_4),V_4))),multiply(c3,V_3))
% collapsed.
% Rule
% [134]
% multiply(inverse(multiply(V_4,multiply(inverse(V_5),V_5))),multiply(V_4,V_3))
% <->
% multiply(inverse(multiply(inverse(c3),c3)),multiply(inverse(multiply(
% inverse(c3),c3)),V_3))
% collapsed.
% Rule
% [135]
% multiply(inverse(multiply(C,multiply(V_3,multiply(inverse(V_4),V_4)))),
% multiply(C,multiply(V_3,B))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(inverse(A),A)),
% multiply(inverse(multiply(inverse(A),A)),B)))
% collapsed.
% Rule
% [137]
% multiply(inverse(multiply(C,multiply(V_3,A))),multiply(C,multiply(V_3,
% multiply(inverse(V_4),V_4))))
% <->
% multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,multiply(c3,
% multiply(inverse(B),B))))
% collapsed.
% Rule
% [138]
% multiply(inverse(multiply(c3,multiply(c3,A))),multiply(c3,multiply(c3,
% multiply(inverse(B),B))))
% <->
% multiply(inverse(multiply(C,multiply(V_3,A))),multiply(C,multiply(V_3,
% multiply(inverse(V_4),V_4))))
% collapsed.
% Rule
% [140]
% multiply(inverse(multiply(V_5,C)),multiply(V_5,multiply(A,V_4))) <->
% multiply(inverse(multiply(c3,C)),multiply(c3,multiply(A,V_4))) collapsed.
% Rule
% [141]
% multiply(inverse(multiply(V_5,multiply(V_3,C))),multiply(V_5,V_4)) <->
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),C))),
% multiply(inverse(multiply(V_3,B)),V_4)) collapsed.
% Rule
% [145]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,
% inverse(C))),
% multiply(B,inverse(V_3))))),C)
% -> V_3 collapsed.
% Rule
% [146]
% multiply(inverse(multiply(C,multiply(V_3,B))),multiply(C,multiply(V_3,
% multiply(inverse(V_4),V_4))))
% <->
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,multiply(
% inverse(c3),c3))))
% collapsed.
% Rule
% [147]
% multiply(inverse(multiply(c3,multiply(A,B))),multiply(c3,multiply(A,multiply(
% inverse(c3),c3))))
% <->
% multiply(inverse(multiply(C,multiply(V_3,B))),multiply(C,multiply(V_3,
% multiply(inverse(V_4),V_4))))
% collapsed.
% Rule
% [150]
% multiply(inverse(multiply(V_3,inverse(V_4))),multiply(V_3,inverse(multiply(C,V_4))))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% inverse(multiply(C,B)))) collapsed.
% Rule
% [154]
% multiply(inverse(multiply(c3,multiply(A,multiply(inverse(B),B)))),multiply(c3,
% multiply(A,
% multiply(
% inverse(c3),c3))))
% -> multiply(inverse(c3),c3) collapsed.
% Rule
% [155]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(C))) <->
% multiply(inverse(multiply(c3,B)),multiply(c3,inverse(C))) collapsed.
% Rule
% [169]
% multiply(A,multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(
% multiply(
% multiply(
% multiply(
% inverse(V_3),V_3),A),C)))))
% -> multiply(inverse(c3),c3) collapsed.
% Rule
% [170]
% multiply(inverse(inverse(A)),inverse(multiply(multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(
% multiply(C,V_3)),
% multiply(C,V_4)))),A)))
% -> multiply(inverse(V_3),V_4) collapsed.
% Rule
% [171]
% multiply(A,multiply(multiply(multiply(inverse(B),B),inverse(multiply(
% inverse(multiply(C,
% inverse(V_3))),
% multiply(C,A)))),V_4))
% -> multiply(inverse(multiply(c3,V_3)),multiply(c3,V_4)) collapsed.
% Rule
% [172]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(c3),c3))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,inverse(multiply(inverse(V_4),V_4))))
% collapsed.
% Rule
% [173]
% multiply(inverse(multiply(c3,B)),multiply(c3,inverse(multiply(inverse(V_4),V_4))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(c3),c3))))
% collapsed.
% Rule
% [176]
% multiply(inverse(multiply(V_4,multiply(V_5,multiply(V_6,C)))),multiply(V_4,
% multiply(V_5,
% multiply(V_6,V_3))))
% <->
% multiply(inverse(multiply(c3,multiply(A,multiply(B,C)))),multiply(c3,
% multiply(A,multiply(B,V_3))))
% collapsed.
% Rule
% [177]
% multiply(inverse(multiply(c3,multiply(A,multiply(B,C)))),multiply(c3,
% multiply(A,multiply(B,V_3))))
% <->
% multiply(inverse(multiply(V_4,multiply(V_5,multiply(V_6,C)))),multiply(V_4,
% multiply(V_5,
% multiply(V_6,V_3))))
% collapsed.
% Rule
% [178]
% multiply(inverse(multiply(V_3,multiply(V_4,inverse(multiply(B,V_5))))),
% multiply(V_3,multiply(V_4,inverse(V_5)))) <->
% multiply(inverse(multiply(c3,multiply(A,inverse(multiply(B,C))))),multiply(c3,
% multiply(A,
% inverse(C))))
% collapsed.
% Rule
% [179]
% multiply(inverse(multiply(c3,multiply(A,inverse(multiply(B,C))))),multiply(c3,
% multiply(A,
% inverse(C))))
% <->
% multiply(inverse(multiply(V_3,multiply(V_4,inverse(multiply(B,V_5))))),
% multiply(V_3,multiply(V_4,inverse(V_5)))) collapsed.
% Rule
% [183]
% multiply(inverse(multiply(V_4,C)),multiply(V_4,multiply(A,inverse(multiply(
% multiply(
% multiply(
% inverse(V_5),V_5),
% inverse(V_3)),B)))))
% <-> multiply(inverse(multiply(inverse(multiply(A,inverse(B))),C)),V_3)
% collapsed.
% Rule
% [184]
% multiply(inverse(multiply(V_4,C)),multiply(V_4,V_3)) <->
% multiply(inverse(multiply(c3,C)),multiply(c3,V_3)) collapsed.
% Rule
% [186]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,inverse(C))),
% multiply(B,inverse(multiply(inverse(c3),c3))))))
% -> inverse(C) collapsed.
% Rule
% [190]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(C,V_3)),
% multiply(C,V_4)))) <->
% multiply(inverse(multiply(inverse(V_5),V_5)),multiply(inverse(B),multiply(
% inverse(
% multiply(V_6,V_3)),
% multiply(V_6,V_4))))
% collapsed.
% Rule
% [191]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(
% inverse(C),C)),
% multiply(inverse(V_3),V_4)))) <->
% multiply(inverse(multiply(V_5,B)),multiply(V_5,multiply(inverse(multiply(V_6,V_3)),
% multiply(V_6,V_4))))
% collapsed.
% Rule
% [192]
% multiply(inverse(multiply(V_5,B)),multiply(V_5,multiply(inverse(multiply(V_6,V_3)),
% multiply(V_6,V_4)))) <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(
% inverse(C),C)),
% multiply(inverse(V_3),V_4))))
% collapsed.
% Rule
% [193]
% multiply(inverse(multiply(inverse(V_5),V_5)),multiply(inverse(B),multiply(
% inverse(
% multiply(V_6,V_3)),
% multiply(V_6,V_4))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(C,V_3)),
% multiply(C,V_4)))) collapsed.
% Rule
% [196]
% multiply(inverse(multiply(V_3,multiply(V_4,B))),multiply(V_3,multiply(V_4,
% multiply(
% inverse(V_5),V_5))))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(c3,B)),
% multiply(c3,multiply(inverse(C),C))))
% collapsed.
% Rule
% [197]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(c3,B)),
% multiply(c3,multiply(inverse(C),C))))
% <->
% multiply(inverse(multiply(V_3,multiply(V_4,B))),multiply(V_3,multiply(V_4,
% multiply(
% inverse(V_5),V_5))))
% collapsed.
% Rule
% [198]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(multiply(C,
% inverse(V_3))),
% multiply(C,inverse(
% multiply(V_4,V_3)))))))
% <-> multiply(inverse(multiply(multiply(inverse(V_5),V_5),B)),V_4) collapsed.
% Rule
% [200]
% multiply(inverse(multiply(V_3,inverse(C))),multiply(V_3,inverse(multiply(
% inverse(c3),c3))))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% inverse(multiply(inverse(C),B))))
% collapsed.
% Rule
% [202]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,B))))
% <->
% multiply(inverse(multiply(V_3,C)),multiply(V_3,inverse(multiply(inverse(c3),c3))))
% collapsed.
% Current number of equations to process: 2304
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [206]
% multiply(inverse(inverse(V_4)),inverse(multiply(C,V_4))) <->
% multiply(inverse(inverse(B)),inverse(multiply(C,B)))
% Current number of equations to process: 2303
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [207]
% multiply(inverse(inverse(multiply(B,C))),inverse(C)) <->
% multiply(inverse(inverse(multiply(B,V_5))),inverse(V_5))
% Current number of equations to process: 2302
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [208]
% multiply(inverse(C),inverse(multiply(inverse(c3),c3))) <->
% multiply(inverse(inverse(B)),inverse(multiply(C,B)))
% Current number of equations to process: 2301
% Current number of ordered equations: 1
% Current number of rules: 40
% New rule produced :
% [209]
% multiply(inverse(inverse(B)),inverse(multiply(C,B))) <->
% multiply(inverse(C),inverse(multiply(inverse(c3),c3)))
% Current number of equations to process: 2301
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [210]
% multiply(inverse(inverse(B)),inverse(multiply(multiply(multiply(inverse(C),C),
% inverse(V_3)),B))) -> V_3
% Rule
% [157]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% inverse(multiply(multiply(multiply(
% inverse(C),C),
% inverse(V_3)),B))))
% -> V_3 collapsed.
% Rule
% [199]
% multiply(inverse(inverse(A)),inverse(multiply(multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(
% multiply(
% inverse(c3),c3)),V_4))),A)))
% -> V_4 collapsed.
% Current number of equations to process: 2302
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [211] multiply(inverse(multiply(inverse(A),A)),V_3) -> V_3
% Rule
% [71]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),C)) ->
% multiply(inverse(B),C) collapsed.
% Rule
% [109]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(A),multiply(
% inverse(V_3),V_3)))
% <-> multiply(inverse(A),multiply(inverse(B),B)) collapsed.
% Rule
% [118]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(
% inverse(B),B)),
% multiply(inverse(inverse(A)),
% inverse(C))))),A) -> C
% collapsed.
% Rule
% [123]
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(A),multiply(B,
% multiply(
% inverse(V_4),V_4))))
% <-> multiply(inverse(A),multiply(B,multiply(inverse(C),C))) collapsed.
% Rule
% [126]
% multiply(inverse(multiply(inverse(V_5),V_5)),multiply(inverse(multiply(V_3,C)),V_4))
% <->
% multiply(inverse(multiply(inverse(B),C)),multiply(inverse(multiply(V_3,B)),V_4))
% collapsed.
% Rule
% [128]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(inverse(B),B)),
% multiply(inverse(C),V_3))) ->
% multiply(inverse(C),V_3) collapsed.
% Rule
% [133]
% multiply(inverse(multiply(inverse(c3),c3)),multiply(inverse(multiply(
% inverse(c3),c3)),V_3))
% <-> multiply(inverse(multiply(inverse(V_5),V_5)),V_3) collapsed.
% Rule
% [136]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(inverse(A),A)),
% multiply(inverse(multiply(inverse(A),A)),B)))
% <-> multiply(inverse(multiply(inverse(V_4),V_4)),B) collapsed.
% Rule
% [139]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),C))),
% multiply(inverse(multiply(V_3,B)),V_4)) <->
% multiply(inverse(multiply(V_3,C)),V_4) collapsed.
% Rule
% [142]
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(
% inverse(V_3),V_3)),
% multiply(inverse(B),V_4)))
% -> multiply(inverse(C),multiply(A,V_4)) collapsed.
% Rule
% [149]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),multiply(
% inverse(C),C)))
% <-> multiply(inverse(B),multiply(inverse(c3),c3)) collapsed.
% Rule
% [151]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% inverse(multiply(C,B)))) <->
% multiply(inverse(inverse(V_4)),inverse(multiply(C,V_4))) collapsed.
% Rule
% [164]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(inverse(B),B)),
% multiply(inverse(inverse(C)),
% inverse(multiply(V_3,C)))))) -> V_3
% collapsed.
% Rule
% [168]
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(
% multiply(
% inverse(B),B)),
% multiply(inverse(
% inverse(C)),V_3)))),C))
% -> V_3 collapsed.
% Rule
% [174]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),C))),
% multiply(inverse(multiply(V_3,B)),V_4)) <->
% multiply(inverse(multiply(inverse(V_5),V_5)),multiply(inverse(multiply(V_3,C)),V_4))
% collapsed.
% Rule
% [175]
% multiply(inverse(multiply(inverse(V_5),V_5)),multiply(inverse(multiply(V_3,C)),V_4))
% <->
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),C))),
% multiply(inverse(multiply(V_3,B)),V_4)) collapsed.
% Rule
% [201]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% inverse(multiply(inverse(C),B))))
% <-> multiply(inverse(inverse(C)),inverse(multiply(inverse(c3),c3)))
% collapsed.
% Current number of equations to process: 2304
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [212]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(inverse(A)),
% inverse(C)))),A) -> C
% Current number of equations to process: 2302
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [213]
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(
% inverse(C)),V_3))),C))
% -> V_3
% Current number of equations to process: 2300
% Current number of ordered equations: 1
% Current number of rules: 26
% New rule produced :
% [214]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(inverse(C)),
% inverse(V_3)))),C) -> V_3
% Rule
% [212]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(inverse(A)),
% inverse(C)))),A) -> C
% collapsed.
% Current number of equations to process: 2299
% Current number of ordered equations: 1
% Current number of rules: 26
% New rule produced :
% [215]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(inverse(C)),
% inverse(multiply(V_3,C))))) -> V_3
% Current number of equations to process: 2299
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [216]
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(B),V_4))
% -> multiply(inverse(C),multiply(A,V_4))
% Current number of equations to process: 2297
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [217]
% multiply(inverse(multiply(V_3,C)),V_4) <->
% multiply(inverse(multiply(inverse(B),C)),multiply(inverse(multiply(V_3,B)),V_4))
% Rule
% [2]
% inverse(multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(
% inverse(
% multiply(
% inverse(
% multiply(A,
% inverse(B))),
% inverse(V_3))),C))),V_3))
% ->
% multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),inverse(C)),B)))
% collapsed.
% Rule
% [187]
% multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(inverse(
% multiply(
% multiply(
% inverse(V_4),V_4),
% inverse(V_5))),C))),V_5)
% <-> multiply(inverse(inverse(B)),inverse(multiply(C,B))) collapsed.
% Current number of equations to process: 2298
% Current number of ordered equations: 1
% Current number of rules: 27
% New rule produced :
% [218]
% multiply(inverse(multiply(inverse(B),C)),multiply(inverse(multiply(V_3,B)),V_4))
% <-> multiply(inverse(multiply(V_3,C)),V_4)
% Current number of equations to process: 2298
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [219]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(inverse(C)),
% inverse(multiply(inverse(c3),c3)))))
% -> inverse(C)
% Current number of equations to process: 2297
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [220]
% multiply(inverse(multiply(inverse(B),C)),multiply(inverse(multiply(inverse(C),B)),V_3))
% -> V_3
% Current number of equations to process: 2294
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [221]
% multiply(inverse(B),inverse(multiply(inverse(inverse(V_3)),inverse(multiply(V_4,V_3)))))
% <-> multiply(inverse(multiply(multiply(inverse(V_5),V_5),B)),V_4)
% Current number of equations to process: 2293
% Current number of ordered equations: 1
% Current number of rules: 31
% New rule produced :
% [222]
% multiply(inverse(multiply(multiply(inverse(V_5),V_5),B)),V_4) <->
% multiply(inverse(B),inverse(multiply(inverse(inverse(V_3)),inverse(multiply(V_4,V_3)))))
% Rule
% [38]
% multiply(inverse(multiply(multiply(inverse(A),A),B)),C) <->
% multiply(inverse(B),inverse(multiply(inverse(inverse(A)),inverse(multiply(C,A)))))
% collapsed.
% Current number of equations to process: 2293
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [223]
% multiply(A,multiply(inverse(inverse(C)),inverse(multiply(multiply(multiply(
% inverse(V_3),V_3),A),C))))
% -> multiply(inverse(c3),c3)
% Current number of equations to process: 2292
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [224]
% multiply(A,multiply(multiply(multiply(inverse(B),B),inverse(multiply(
% inverse(inverse(V_3)),A))),V_4))
% -> multiply(inverse(V_3),V_4)
% Current number of equations to process: 2291
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [225]
% multiply(inverse(multiply(inverse(B),C)),multiply(inverse(multiply(V_3,B)),V_4))
% <->
% multiply(inverse(multiply(inverse(V_6),C)),multiply(inverse(multiply(V_3,V_6)),V_4))
% Current number of equations to process: 2290
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [226]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(B),B))),C)
% -> C
% Rule
% [67]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(B),B))),A)
% -> A collapsed.
% Rule
% [105]
% multiply(inverse(A),multiply(multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(B),B))),C))
% -> multiply(inverse(A),C) collapsed.
% Rule
% [108]
% multiply(inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(
% inverse(B),B))),C)),A)
% -> multiply(inverse(C),A) collapsed.
% Rule
% [162]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(c3),c3))),V_3)
% -> V_3 collapsed.
% Rule
% [204]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(B),B))),
% multiply(C,multiply(V_3,A))) -> multiply(C,multiply(V_3,A)) collapsed.
% Current number of equations to process: 2285
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [227]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,
% inverse(C))),V_3))),C)
% <->
% multiply(multiply(multiply(inverse(V_4),V_4),inverse(multiply(inverse(
% multiply(B,
% inverse(V_4))),V_3))),V_4)
% Rule
% [39]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,
% inverse(A))),C))),A)
% <->
% multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(inverse(
% multiply(B,
% inverse(V_3))),C))),V_3)
% collapsed.
% Current number of equations to process: 2287
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [228]
% multiply(inverse(multiply(inverse(inverse(A)),B)),C) <->
% multiply(inverse(B),inverse(multiply(multiply(multiply(inverse(V_3),V_3),
% inverse(C)),A)))
% Current number of equations to process: 2288
% Current number of ordered equations: 1
% Current number of rules: 31
% New rule produced :
% [229]
% multiply(inverse(B),inverse(multiply(multiply(multiply(inverse(V_3),V_3),
% inverse(C)),A))) <->
% multiply(inverse(multiply(inverse(inverse(A)),B)),C)
% Current number of equations to process: 2288
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [230]
% multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),
% inverse(C)),V_3)))),V_4) ->
% multiply(inverse(C),multiply(inverse(multiply(A,inverse(V_3))),V_4))
% Current number of equations to process: 2287
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [231]
% multiply(inverse(inverse(A)),inverse(multiply(multiply(multiply(inverse(V_3),V_3),
% inverse(C)),B))) <->
% multiply(inverse(multiply(inverse(c3),inverse(A))),multiply(inverse(multiply(
% inverse(
% inverse(B)),c3)),C))
% Current number of equations to process: 2289
% Current number of ordered equations: 1
% Current number of rules: 34
% New rule produced :
% [232]
% multiply(inverse(multiply(inverse(c3),inverse(A))),multiply(inverse(multiply(
% inverse(
% inverse(B)),c3)),C))
% <->
% multiply(inverse(inverse(A)),inverse(multiply(multiply(multiply(inverse(V_3),V_3),
% inverse(C)),B)))
% Current number of equations to process: 2289
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [233]
% multiply(inverse(multiply(inverse(c3),inverse(A))),multiply(inverse(multiply(
% multiply(
% inverse(C),C),c3)),
% multiply(multiply(
% inverse(V_3),V_3),B)))
% -> multiply(inverse(inverse(A)),B)
% Current number of equations to process: 2288
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [234]
% multiply(inverse(multiply(multiply(multiply(inverse(B),B),inverse(C)),A)),
% multiply(multiply(multiply(inverse(V_3),V_3),inverse(C)),B)) ->
% multiply(inverse(A),B)
% Current number of equations to process: 2292
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [235]
% multiply(inverse(multiply(multiply(multiply(inverse(A),A),inverse(B)),C)),
% multiply(multiply(multiply(inverse(V_3),V_3),inverse(B)),V_4)) ->
% multiply(inverse(C),V_4)
% Rule
% [185]
% multiply(inverse(multiply(multiply(multiply(inverse(A),A),inverse(B)),C)),
% multiply(multiply(multiply(inverse(C),C),inverse(B)),V_3)) ->
% multiply(inverse(C),V_3) collapsed.
% Rule
% [234]
% multiply(inverse(multiply(multiply(multiply(inverse(B),B),inverse(C)),A)),
% multiply(multiply(multiply(inverse(V_3),V_3),inverse(C)),B)) ->
% multiply(inverse(A),B) collapsed.
% Current number of equations to process: 2291
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [236]
% multiply(inverse(multiply(inverse(multiply(inverse(C),inverse(V_4))),A)),
% multiply(inverse(multiply(B,inverse(V_4))),V_3)) <->
% multiply(inverse(A),multiply(inverse(multiply(B,C)),V_3))
% Current number of equations to process: 2310
% Current number of ordered equations: 3
% Current number of rules: 37
% New rule produced :
% [237]
% multiply(inverse(A),multiply(inverse(multiply(B,C)),V_3)) <->
% multiply(inverse(multiply(inverse(multiply(inverse(C),inverse(V_4))),A)),
% multiply(inverse(multiply(B,inverse(V_4))),V_3))
% Current number of equations to process: 2310
% Current number of ordered equations: 2
% Current number of rules: 38
% New rule produced :
% [238]
% multiply(inverse(multiply(inverse(multiply(A,inverse(V_4))),C)),multiply(
% inverse(
% multiply(
% inverse(B),
% inverse(V_4))),V_3))
% <-> multiply(inverse(multiply(inverse(multiply(A,B)),C)),V_3)
% Current number of equations to process: 2310
% Current number of ordered equations: 1
% Current number of rules: 39
% New rule produced :
% [239]
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),V_3) <->
% multiply(inverse(multiply(inverse(multiply(A,inverse(V_4))),C)),multiply(
% inverse(
% multiply(
% inverse(B),
% inverse(V_4))),V_3))
% Current number of equations to process: 2310
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [240]
% multiply(inverse(inverse(C)),inverse(multiply(inverse(A),C))) <->
% multiply(inverse(inverse(A)),inverse(multiply(inverse(B),B)))
% Current number of equations to process: 2331
% Current number of ordered equations: 1
% Current number of rules: 41
% New rule produced :
% [241]
% multiply(inverse(inverse(A)),inverse(multiply(inverse(B),B))) <->
% multiply(inverse(inverse(C)),inverse(multiply(inverse(A),C)))
% Current number of equations to process: 2331
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [242]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(B)) <->
% multiply(inverse(inverse(multiply(inverse(B),C))),inverse(C))
% Current number of equations to process: 2346
% Current number of ordered equations: 1
% Current number of rules: 43
% New rule produced :
% [243]
% multiply(inverse(inverse(multiply(inverse(B),C))),inverse(C)) <->
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(B))
% Current number of equations to process: 2346
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [244]
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(multiply(A,C)),V_3)))
% <-> multiply(inverse(inverse(multiply(A,B))),inverse(multiply(inverse(C),B)))
% Current number of equations to process: 2345
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced :
% [245]
% multiply(inverse(inverse(multiply(A,B))),inverse(multiply(inverse(C),B))) <->
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(multiply(A,C)),V_3)))
% Current number of equations to process: 2345
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [246]
% multiply(inverse(inverse(C)),inverse(multiply(A,C))) <->
% multiply(inverse(A),inverse(multiply(inverse(B),B)))
% Rule
% [209]
% multiply(inverse(inverse(B)),inverse(multiply(C,B))) <->
% multiply(inverse(C),inverse(multiply(inverse(c3),c3))) collapsed.
% Rule
% [240]
% multiply(inverse(inverse(C)),inverse(multiply(inverse(A),C))) <->
% multiply(inverse(inverse(A)),inverse(multiply(inverse(B),B))) collapsed.
% Current number of equations to process: 2362
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced :
% [247]
% multiply(inverse(A),inverse(multiply(inverse(B),B))) <->
% multiply(inverse(inverse(C)),inverse(multiply(A,C)))
% Rule
% [208]
% multiply(inverse(C),inverse(multiply(inverse(c3),c3))) <->
% multiply(inverse(inverse(B)),inverse(multiply(C,B))) collapsed.
% Rule
% [241]
% multiply(inverse(inverse(A)),inverse(multiply(inverse(B),B))) <->
% multiply(inverse(inverse(C)),inverse(multiply(inverse(A),C))) collapsed.
% Current number of equations to process: 2362
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [248]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(C,A))) <->
% multiply(inverse(inverse(multiply(inverse(A),B))),inverse(multiply(C,B)))
% Current number of equations to process: 2361
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced :
% [249]
% multiply(inverse(inverse(multiply(inverse(A),B))),inverse(multiply(C,B))) <->
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(C,A)))
% Current number of equations to process: 2361
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [250]
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(multiply(inverse(C),B)),V_3)))
% <->
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(B),C)))
% Current number of equations to process: 2360
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced :
% [251]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(B),C)))
% <->
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(multiply(inverse(C),B)),V_3)))
% Current number of equations to process: 2360
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [252]
% multiply(inverse(multiply(inverse(inverse(A)),B)),multiply(inverse(inverse(C)),
% inverse(multiply(V_3,C))))
% <-> multiply(inverse(B),inverse(multiply(V_3,A)))
% Current number of equations to process: 2359
% Current number of ordered equations: 1
% Current number of rules: 49
% New rule produced :
% [253]
% multiply(inverse(B),inverse(multiply(V_3,A))) <->
% multiply(inverse(multiply(inverse(inverse(A)),B)),multiply(inverse(inverse(C)),
% inverse(multiply(V_3,C))))
% Current number of equations to process: 2359
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [254]
% multiply(inverse(A),multiply(inverse(B),B)) <->
% multiply(inverse(inverse(multiply(multiply(multiply(inverse(C),C),inverse(A)),V_3))),
% inverse(V_3))
% Current number of equations to process: 2360
% Current number of ordered equations: 1
% Current number of rules: 51
% Rule [254]
% multiply(inverse(A),multiply(inverse(B),B)) <->
% multiply(inverse(inverse(multiply(multiply(multiply(inverse(C),C),
% inverse(A)),V_3))),inverse(V_3)) is composed into 
% [254]
% multiply(inverse(A),multiply(inverse(B),B)) <->
% multiply(inverse(A),multiply(inverse(c3),c3))
% New rule produced :
% [255]
% multiply(inverse(inverse(multiply(multiply(multiply(inverse(C),C),inverse(A)),V_3))),
% inverse(V_3)) <-> multiply(inverse(A),multiply(inverse(B),B))
% Current number of equations to process: 2360
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [256]
% multiply(inverse(multiply(multiply(inverse(A),A),B)),multiply(multiply(
% inverse(C),C),V_3))
% -> multiply(inverse(B),V_3)
% Rule
% [156]
% multiply(inverse(multiply(multiply(inverse(V_3),V_3),B)),multiply(multiply(
% inverse(V_4),V_4),
% inverse(C))) ->
% multiply(inverse(B),inverse(C)) collapsed.
% Rule
% [233]
% multiply(inverse(multiply(inverse(c3),inverse(A))),multiply(inverse(multiply(
% multiply(
% inverse(C),C),c3)),
% multiply(multiply(
% inverse(V_3),V_3),B)))
% -> multiply(inverse(inverse(A)),B) collapsed.
% Current number of equations to process: 2369
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [257]
% multiply(inverse(inverse(multiply(multiply(multiply(inverse(V_3),V_3),
% inverse(A)),B))),C) ->
% multiply(inverse(A),multiply(inverse(inverse(B)),C))
% Rule
% [255]
% multiply(inverse(inverse(multiply(multiply(multiply(inverse(C),C),inverse(A)),V_3))),
% inverse(V_3)) <-> multiply(inverse(A),multiply(inverse(B),B)) collapsed.
% Current number of equations to process: 2369
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [258]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(inverse(B)),
% inverse(multiply(inverse(C),C))))) ->
% inverse(B)
% Rule
% [219]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(inverse(C)),
% inverse(multiply(inverse(c3),c3)))))
% -> inverse(C) collapsed.
% Current number of equations to process: 2388
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [259]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(inverse(
% multiply(B,C))),
% inverse(C)))),multiply(B,V_3))
% -> V_3
% Current number of equations to process: 2387
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [260]
% multiply(inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(
% inverse(
% inverse(B)),
% inverse(C)))),V_3)),C)
% -> multiply(inverse(V_3),B)
% Current number of equations to process: 2386
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [261]
% inverse(multiply(inverse(B),B)) <->
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(c3),c3)))
% Current number of equations to process: 2401
% Current number of ordered equations: 1
% Current number of rules: 54
% Rule [261]
% inverse(multiply(inverse(B),B)) <->
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(c3),c3))) is composed into 
% [261] inverse(multiply(inverse(B),B)) <-> inverse(multiply(inverse(c3),c3))
% New rule produced :
% [262]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(c3),c3))) <->
% inverse(multiply(inverse(B),B))
% Current number of equations to process: 2401
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [263]
% multiply(inverse(A),multiply(multiply(inverse(B),B),C)) <->
% multiply(inverse(inverse(multiply(inverse(inverse(V_3)),inverse(multiply(A,V_3))))),C)
% Current number of equations to process: 2401
% Current number of ordered equations: 1
% Current number of rules: 56
% Rule [263]
% multiply(inverse(A),multiply(multiply(inverse(B),B),C)) <->
% multiply(inverse(inverse(multiply(inverse(inverse(V_3)),inverse(
% multiply(A,V_3))))),C) is composed into 
% [263]
% multiply(inverse(A),multiply(multiply(inverse(B),B),C)) <->
% multiply(inverse(A),multiply(multiply(inverse(c3),c3),C))
% New rule produced :
% [264]
% multiply(inverse(inverse(multiply(inverse(inverse(V_3)),inverse(multiply(A,V_3))))),C)
% <-> multiply(inverse(A),multiply(multiply(inverse(B),B),C))
% Current number of equations to process: 2401
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [265]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(inverse(multiply(B,C))),
% inverse(multiply(inverse(V_3),C)))))
% -> inverse(multiply(B,V_3))
% Current number of equations to process: 2400
% Current number of ordered equations: 0
% Current number of rules: 58
% Rule [237]
% multiply(inverse(A),multiply(inverse(multiply(B,C)),V_3)) <->
% multiply(inverse(multiply(inverse(multiply(inverse(C),inverse(V_4))),A)),
% multiply(inverse(multiply(B,inverse(V_4))),V_3)) is composed into 
% [237]
% multiply(inverse(A),multiply(inverse(multiply(B,C)),V_3)) <->
% multiply(inverse(A),multiply(inverse(multiply(inverse(inverse(V_4)),C)),
% multiply(inverse(multiply(B,inverse(V_4))),V_3)))
% New rule produced :
% [266]
% multiply(inverse(multiply(inverse(multiply(inverse(A),B)),C)),V_3) ->
% multiply(inverse(C),multiply(inverse(multiply(inverse(B),A)),V_3))
% Rule
% [236]
% multiply(inverse(multiply(inverse(multiply(inverse(C),inverse(V_4))),A)),
% multiply(inverse(multiply(B,inverse(V_4))),V_3)) <->
% multiply(inverse(A),multiply(inverse(multiply(B,C)),V_3)) collapsed.
% Current number of equations to process: 2402
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [267]
% multiply(inverse(A),multiply(inverse(multiply(B,multiply(inverse(C),C))),V_3))
% <-> multiply(inverse(multiply(B,A)),V_3)
% Current number of equations to process: 2476
% Current number of ordered equations: 1
% Current number of rules: 59
% New rule produced :
% [268]
% multiply(inverse(multiply(B,A)),V_3) <->
% multiply(inverse(A),multiply(inverse(multiply(B,multiply(inverse(C),C))),V_3))
% Rule
% [230]
% multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),
% inverse(C)),V_3)))),V_4) ->
% multiply(inverse(C),multiply(inverse(multiply(A,inverse(V_3))),V_4))
% collapsed.
% Current number of equations to process: 2476
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [269]
% multiply(inverse(multiply(C,multiply(V_3,B))),V_4) <->
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(C,
% multiply(V_3,A))),V_4))
% Current number of equations to process: 2475
% Current number of ordered equations: 1
% Current number of rules: 60
% New rule produced :
% [270]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(C,
% multiply(V_3,A))),V_4))
% <-> multiply(inverse(multiply(C,multiply(V_3,B))),V_4)
% Current number of equations to process: 2475
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [271]
% multiply(inverse(multiply(inverse(inverse(multiply(A,B))),C)),multiply(
% inverse(
% inverse(
% multiply(A,V_3))),
% inverse(V_3)))
% -> multiply(inverse(C),inverse(B))
% Current number of equations to process: 2474
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [272]
% multiply(inverse(inverse(A)),inverse(multiply(multiply(multiply(inverse(B),B),C),A)))
% <->
% multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(inverse(
% inverse(V_4)),C))),V_4)
% Current number of equations to process: 2473
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [273]
% multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(inverse(
% inverse(V_4)),C))),V_4)
% <->
% multiply(inverse(inverse(A)),inverse(multiply(multiply(multiply(inverse(B),B),C),A)))
% Current number of equations to process: 2473
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [274]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(inverse(B)),C))),B)
% <->
% multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(inverse(
% inverse(V_4)),C))),V_4)
% Current number of equations to process: 2472
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [275]
% multiply(inverse(inverse(C)),inverse(multiply(multiply(inverse(V_3),V_3),C)))
% <->
% multiply(inverse(inverse(inverse(multiply(inverse(inverse(A)),inverse(
% multiply(B,A)))))),
% inverse(B))
% Current number of equations to process: 2471
% Current number of ordered equations: 1
% Current number of rules: 66
% Rule [275]
% multiply(inverse(inverse(C)),inverse(multiply(multiply(inverse(V_3),V_3),C)))
% <->
% multiply(inverse(inverse(inverse(multiply(inverse(inverse(A)),inverse(
% multiply(B,A)))))),
% inverse(B)) is composed into [275]
% multiply(inverse(inverse(C)),inverse(
% multiply(
% multiply(
% inverse(V_3),V_3),C)))
% <->
% multiply(inverse(inverse(c3)),inverse(
% multiply(
% multiply(
% inverse(c3),c3),c3)))
% New rule produced :
% [276]
% multiply(inverse(inverse(inverse(multiply(inverse(inverse(A)),inverse(
% multiply(B,A)))))),
% inverse(B)) <->
% multiply(inverse(inverse(C)),inverse(multiply(multiply(inverse(V_3),V_3),C)))
% Current number of equations to process: 2471
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [277]
% multiply(inverse(inverse(A)),inverse(inverse(multiply(inverse(inverse(B)),
% inverse(multiply(A,B)))))) <->
% multiply(inverse(inverse(multiply(multiply(inverse(C),C),V_3))),inverse(V_3))
% Current number of equations to process: 2470
% Current number of ordered equations: 1
% Current number of rules: 68
% Rule [277]
% multiply(inverse(inverse(A)),inverse(inverse(multiply(inverse(inverse(B)),
% inverse(multiply(A,B))))))
% <->
% multiply(inverse(inverse(multiply(multiply(inverse(C),C),V_3))),
% inverse(V_3)) is composed into [277]
% multiply(inverse(inverse(A)),inverse(
% inverse(
% multiply(
% inverse(
% inverse(B)),
% inverse(
% multiply(A,B))))))
% <->
% multiply(inverse(inverse(c3)),inverse(
% inverse(
% multiply(
% inverse(
% inverse(c3)),
% inverse(
% multiply(c3,c3))))))
% New rule produced :
% [278]
% multiply(inverse(inverse(multiply(multiply(inverse(C),C),V_3))),inverse(V_3))
% <->
% multiply(inverse(inverse(A)),inverse(inverse(multiply(inverse(inverse(B)),
% inverse(multiply(A,B))))))
% Current number of equations to process: 2470
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [279]
% multiply(inverse(multiply(C,multiply(inverse(V_4),V_4))),V_3) <->
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(C,
% multiply(inverse(B),A))),V_3))
% Current number of equations to process: 2468
% Current number of ordered equations: 1
% Current number of rules: 70
% New rule produced :
% [280]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(C,
% multiply(inverse(B),A))),V_3))
% <-> multiply(inverse(multiply(C,multiply(inverse(V_4),V_4))),V_3)
% Current number of equations to process: 2468
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [281]
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(
% inverse(V_3),B)),V_4))
% <-> multiply(inverse(multiply(inverse(multiply(A,V_3)),C)),V_4)
% Rule
% [238]
% multiply(inverse(multiply(inverse(multiply(A,inverse(V_4))),C)),multiply(
% inverse(
% multiply(
% inverse(B),
% inverse(V_4))),V_3))
% <-> multiply(inverse(multiply(inverse(multiply(A,B)),C)),V_3) collapsed.
% Current number of equations to process: 2467
% Current number of ordered equations: 1
% Current number of rules: 71
% Rule [203]
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(V_3,B)),V_4))
% <->
% multiply(inverse(multiply(inverse(multiply(A,inverse(V_5))),C)),
% multiply(inverse(multiply(V_3,inverse(V_5))),V_4)) is composed into 
% [203]
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(V_3,B)),V_4))
% <->
% multiply(inverse(multiply(inverse(multiply(A,c3)),C)),multiply(inverse(
% multiply(
% inverse(
% inverse(V_5)),c3)),
% multiply(inverse(
% multiply(V_3,
% inverse(V_5))),V_4)))
% New rule produced :
% [282]
% multiply(inverse(multiply(inverse(multiply(A,V_3)),C)),V_4) <->
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(
% inverse(V_3),B)),V_4))
% Rule
% [182]
% multiply(inverse(multiply(inverse(multiply(A,inverse(B))),C)),V_3) <->
% multiply(inverse(C),multiply(A,inverse(multiply(multiply(multiply(inverse(V_5),V_5),
% inverse(V_3)),B))))
% collapsed.
% Rule
% [239]
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),V_3) <->
% multiply(inverse(multiply(inverse(multiply(A,inverse(V_4))),C)),multiply(
% inverse(
% multiply(
% inverse(B),
% inverse(V_4))),V_3))
% collapsed.
% Current number of equations to process: 2468
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [283]
% multiply(inverse(A),multiply(inverse(multiply(inverse(A),multiply(inverse(B),B))),C))
% -> C
% Current number of equations to process: 2468
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [284]
% multiply(inverse(inverse(inverse(A))),inverse(multiply(inverse(inverse(
% multiply(B,C))),
% inverse(C)))) <->
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(inverse(multiply(B,A))),V_3)))
% Current number of equations to process: 2466
% Current number of ordered equations: 1
% Current number of rules: 72
% New rule produced :
% [285]
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(inverse(multiply(B,A))),V_3)))
% <->
% multiply(inverse(inverse(inverse(A))),inverse(multiply(inverse(inverse(
% multiply(B,C))),
% inverse(C))))
% Current number of equations to process: 2466
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [286]
% multiply(inverse(inverse(multiply(inverse(inverse(multiply(A,B))),inverse(B)))),
% inverse(inverse(C))) ->
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(inverse(multiply(A,C))))
% Current number of equations to process: 2465
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [287]
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(inverse(C)),V_3)))
% <->
% multiply(inverse(inverse(inverse(multiply(multiply(multiply(inverse(A),A),
% inverse(B)),C)))),inverse(B))
% Current number of equations to process: 2464
% Current number of ordered equations: 1
% Current number of rules: 75
% Rule [287]
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(inverse(C)),V_3)))
% <->
% multiply(inverse(inverse(inverse(multiply(multiply(multiply(inverse(A),A),
% inverse(B)),C)))),inverse(B)) is composed into 
% [287]
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(inverse(C)),V_3)))
% <-> multiply(inverse(inverse(c3)),inverse(multiply(inverse(inverse(C)),c3)))
% New rule produced :
% [288]
% multiply(inverse(inverse(inverse(multiply(multiply(multiply(inverse(A),A),
% inverse(B)),C)))),inverse(B)) <->
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(inverse(C)),V_3)))
% Current number of equations to process: 2464
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [289]
% multiply(inverse(inverse(A)),inverse(inverse(multiply(multiply(multiply(
% inverse(B),B),
% inverse(A)),C)))) ->
% multiply(inverse(inverse(multiply(inverse(c3),c3))),inverse(inverse(C)))
% Current number of equations to process: 2463
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [290]
% multiply(inverse(A),multiply(B,inverse(multiply(multiply(multiply(inverse(C),C),
% inverse(V_3)),V_4)))) <->
% multiply(inverse(multiply(inverse(multiply(B,c3)),A)),multiply(inverse(
% multiply(
% inverse(
% inverse(V_4)),c3)),V_3))
% Current number of equations to process: 2461
% Current number of ordered equations: 1
% Current number of rules: 78
% New rule produced :
% [291]
% multiply(inverse(multiply(inverse(multiply(B,c3)),A)),multiply(inverse(
% multiply(
% inverse(
% inverse(V_4)),c3)),V_3))
% <->
% multiply(inverse(A),multiply(B,inverse(multiply(multiply(multiply(inverse(C),C),
% inverse(V_3)),V_4))))
% Current number of equations to process: 2461
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [292]
% multiply(A,multiply(inverse(multiply(inverse(B),multiply(inverse(C),C))),
% multiply(inverse(multiply(A,B)),V_3))) -> V_3
% Current number of equations to process: 2480
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [293]
% multiply(inverse(A),inverse(multiply(inverse(inverse(B)),inverse(multiply(
% inverse(C),C)))))
% <-> multiply(inverse(multiply(multiply(inverse(V_3),V_3),A)),inverse(B))
% Current number of equations to process: 2479
% Current number of ordered equations: 1
% Current number of rules: 81
% New rule produced :
% [294]
% multiply(inverse(multiply(multiply(inverse(V_3),V_3),A)),inverse(B)) <->
% multiply(inverse(A),inverse(multiply(inverse(inverse(B)),inverse(multiply(
% inverse(C),C)))))
% Current number of equations to process: 2479
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [295]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(inverse(C),A)),
% multiply(inverse(multiply(inverse(B),C)),V_3)))
% -> V_3
% Current number of equations to process: 2478
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [296]
% multiply(inverse(inverse(B)),inverse(multiply(multiply(multiply(inverse(B),B),A),B)))
% -> multiply(inverse(A),inverse(multiply(inverse(c3),c3)))
% Current number of equations to process: 2509
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [297]
% multiply(inverse(B),inverse(multiply(inverse(inverse(C)),inverse(multiply(
% multiply(
% multiply(
% inverse(V_3),V_3),B),C)))))
% <-> multiply(inverse(A),A)
% Current number of equations to process: 2508
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [298]
% multiply(inverse(A),inverse(multiply(inverse(inverse(C)),inverse(multiply(
% multiply(
% multiply(
% inverse(V_3),V_3),B),C)))))
% -> multiply(inverse(A),B)
% Rule
% [297]
% multiply(inverse(B),inverse(multiply(inverse(inverse(C)),inverse(multiply(
% multiply(
% multiply(
% inverse(V_3),V_3),B),C)))))
% <-> multiply(inverse(A),A) collapsed.
% Current number of equations to process: 2524
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [299]
% multiply(inverse(inverse(multiply(A,B))),inverse(B)) <->
% multiply(inverse(inverse(multiply(inverse(c3),c3))),A)
% Rule
% [278]
% multiply(inverse(inverse(multiply(multiply(inverse(C),C),V_3))),inverse(V_3))
% <->
% multiply(inverse(inverse(A)),inverse(inverse(multiply(inverse(inverse(B)),
% inverse(multiply(A,B))))))
% collapsed.
% Current number of equations to process: 2530
% Current number of ordered equations: 1
% Current number of rules: 85
% New rule produced :
% [300]
% multiply(inverse(inverse(multiply(inverse(c3),c3))),A) <->
% multiply(inverse(inverse(multiply(A,B))),inverse(B))
% Current number of equations to process: 2530
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [301] multiply(inverse(inverse(A)),inverse(multiply(inverse(c3),c3))) -> A
% Current number of equations to process: 2530
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [302]
% multiply(inverse(inverse(A)),inverse(inverse(multiply(inverse(inverse(B)),
% inverse(multiply(A,B)))))) <->
% multiply(inverse(inverse(multiply(inverse(c3),c3))),multiply(inverse(C),C))
% Current number of equations to process: 2533
% Current number of ordered equations: 1
% Current number of rules: 88
% Rule [302]
% multiply(inverse(inverse(A)),inverse(inverse(multiply(inverse(inverse(B)),
% inverse(multiply(A,B))))))
% <->
% multiply(inverse(inverse(multiply(inverse(c3),c3))),multiply(inverse(C),C)) is composed into 
% [302]
% multiply(inverse(inverse(A)),inverse(inverse(multiply(inverse(inverse(B)),
% inverse(multiply(A,B)))))) <->
% multiply(inverse(inverse(c3)),inverse(inverse(multiply(inverse(inverse(c3)),
% inverse(multiply(c3,c3))))))
% New rule produced :
% [303]
% multiply(inverse(inverse(multiply(inverse(c3),c3))),multiply(inverse(C),C))
% <->
% multiply(inverse(inverse(A)),inverse(inverse(multiply(inverse(inverse(B)),
% inverse(multiply(A,B))))))
% Current number of equations to process: 2533
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [304]
% multiply(A,multiply(multiply(multiply(inverse(B),B),inverse(multiply(
% inverse(C),A))),V_3))
% -> multiply(C,V_3)
% Rule
% [224]
% multiply(A,multiply(multiply(multiply(inverse(B),B),inverse(multiply(
% inverse(inverse(V_3)),A))),V_4))
% -> multiply(inverse(V_3),V_4) collapsed.
% Current number of equations to process: 2544
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [305]
% multiply(inverse(B),multiply(multiply(multiply(inverse(V_3),V_3),inverse(
% multiply(
% inverse(
% inverse(V_4)),A))),V_4))
% <-> multiply(inverse(multiply(A,B)),multiply(inverse(C),C))
% Current number of equations to process: 2545
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced :
% [306]
% multiply(inverse(multiply(A,B)),multiply(inverse(C),C)) <->
% multiply(inverse(B),multiply(multiply(multiply(inverse(V_3),V_3),inverse(
% multiply(
% inverse(
% inverse(V_4)),A))),V_4))
% Current number of equations to process: 2545
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [307]
% inverse(multiply(inverse(V_3),C)) <->
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(inverse(multiply(
% inverse(B),B))),
% inverse(multiply(inverse(C),V_3)))))
% Current number of equations to process: 2544
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced :
% [308]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(inverse(multiply(
% inverse(B),B))),
% inverse(multiply(inverse(C),V_3)))))
% <-> inverse(multiply(inverse(V_3),C))
% Current number of equations to process: 2544
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [309]
% multiply(inverse(multiply(inverse(V_3),C)),V_4) <->
% multiply(inverse(multiply(inverse(A),multiply(B,C))),multiply(inverse(
% multiply(
% inverse(
% multiply(B,V_3)),A)),V_4))
% Current number of equations to process: 2543
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [310]
% multiply(inverse(multiply(inverse(A),multiply(B,C))),multiply(inverse(
% multiply(
% inverse(
% multiply(B,V_3)),A)),V_4))
% <-> multiply(inverse(multiply(inverse(V_3),C)),V_4)
% Current number of equations to process: 2543
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [311]
% multiply(inverse(B),multiply(multiply(multiply(inverse(V_4),V_4),inverse(
% multiply(
% inverse(
% inverse(C)),A))),V_3))
% <-> multiply(inverse(multiply(A,B)),multiply(inverse(C),V_3))
% Current number of equations to process: 2542
% Current number of ordered equations: 1
% Current number of rules: 96
% New rule produced :
% [312]
% multiply(inverse(multiply(A,B)),multiply(inverse(C),V_3)) <->
% multiply(inverse(B),multiply(multiply(multiply(inverse(V_4),V_4),inverse(
% multiply(
% inverse(
% inverse(C)),A))),V_3))
% Current number of equations to process: 2542
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [313]
% multiply(inverse(multiply(multiply(multiply(inverse(V_4),V_4),inverse(
% multiply(
% inverse(
% inverse(A)),C))),B)),V_3)
% -> multiply(inverse(multiply(inverse(A),B)),multiply(C,V_3))
% Rule
% [260]
% multiply(inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(
% inverse(
% inverse(B)),
% inverse(C)))),V_3)),C)
% -> multiply(inverse(V_3),B) collapsed.
% Current number of equations to process: 2540
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [314]
% multiply(inverse(B),multiply(inverse(inverse(C)),inverse(multiply(multiply(
% multiply(
% inverse(V_3),V_3),A),C))))
% <-> multiply(inverse(multiply(A,B)),multiply(inverse(c3),c3))
% Current number of equations to process: 2539
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [315]
% multiply(inverse(multiply(A,B)),multiply(inverse(c3),c3)) <->
% multiply(inverse(B),multiply(inverse(inverse(C)),inverse(multiply(multiply(
% multiply(
% inverse(V_3),V_3),A),C))))
% Current number of equations to process: 2539
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [316]
% multiply(inverse(A),multiply(inverse(multiply(B,multiply(inverse(C),C))),V_3))
% <->
% multiply(inverse(multiply(inverse(V_4),A)),multiply(inverse(multiply(B,V_4)),V_3))
% Current number of equations to process: 2579
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [317]
% multiply(inverse(multiply(inverse(V_4),A)),multiply(inverse(multiply(B,V_4)),V_3))
% <->
% multiply(inverse(A),multiply(inverse(multiply(B,multiply(inverse(C),C))),V_3))
% Current number of equations to process: 2579
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [318]
% multiply(inverse(multiply(inverse(C),A)),multiply(inverse(multiply(multiply(
% inverse(V_3),V_3),C)),B))
% <-> multiply(inverse(multiply(multiply(inverse(c3),c3),A)),B)
% Current number of equations to process: 2578
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [319]
% multiply(inverse(multiply(multiply(inverse(c3),c3),A)),B) <->
% multiply(inverse(multiply(inverse(C),A)),multiply(inverse(multiply(multiply(
% inverse(V_3),V_3),C)),B))
% Current number of equations to process: 2578
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [320]
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(inverse(B)),V_3)))
% <->
% multiply(inverse(inverse(inverse(multiply(A,B)))),inverse(multiply(inverse(
% inverse(C)),
% inverse(multiply(A,C)))))
% Current number of equations to process: 2577
% Current number of ordered equations: 1
% Current number of rules: 104
% Rule [320]
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(inverse(B)),V_3)))
% <->
% multiply(inverse(inverse(inverse(multiply(A,B)))),inverse(multiply(
% inverse(
% inverse(C)),
% inverse(
% multiply(A,C))))) is composed into 
% [320]
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(inverse(B)),V_3)))
% <-> multiply(inverse(inverse(c3)),inverse(multiply(inverse(inverse(B)),c3)))
% New rule produced :
% [321]
% multiply(inverse(inverse(inverse(multiply(A,B)))),inverse(multiply(inverse(
% inverse(C)),
% inverse(multiply(A,C)))))
% <->
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(inverse(B)),V_3)))
% Current number of equations to process: 2577
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [322]
% multiply(inverse(B),multiply(multiply(inverse(c3),c3),inverse(inverse(
% multiply(B,C)))))
% <-> multiply(inverse(inverse(multiply(inverse(c3),c3))),inverse(inverse(C)))
% Current number of equations to process: 2576
% Current number of ordered equations: 1
% Current number of rules: 106
% Rule [322]
% multiply(inverse(B),multiply(multiply(inverse(c3),c3),inverse(inverse(
% multiply(B,C)))))
% <->
% multiply(inverse(inverse(multiply(inverse(c3),c3))),inverse(inverse(C))) is composed into 
% [322]
% multiply(inverse(B),multiply(multiply(inverse(c3),c3),inverse(inverse(
% multiply(B,C)))))
% <->
% multiply(inverse(c3),multiply(multiply(inverse(c3),c3),inverse(inverse(
% multiply(c3,C)))))
% Rule [289]
% multiply(inverse(inverse(A)),inverse(inverse(multiply(multiply(multiply(
% inverse(B),B),
% inverse(A)),C))))
% ->
% multiply(inverse(inverse(multiply(inverse(c3),c3))),inverse(inverse(C))) is composed into 
% [289]
% multiply(inverse(inverse(A)),inverse(inverse(multiply(multiply(multiply(
% inverse(B),B),
% inverse(A)),C)))) ->
% multiply(inverse(c3),multiply(multiply(inverse(c3),c3),inverse(inverse(
% multiply(c3,C)))))
% New rule produced :
% [323]
% multiply(inverse(inverse(multiply(inverse(c3),c3))),inverse(inverse(C))) <->
% multiply(inverse(B),multiply(multiply(inverse(c3),c3),inverse(inverse(
% multiply(B,C)))))
% Current number of equations to process: 2576
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [324]
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(
% inverse(
% inverse(B)),B)),V_3))
% <->
% multiply(inverse(multiply(inverse(multiply(A,c3)),C)),multiply(inverse(
% multiply(
% inverse(
% inverse(B)),c3)),V_3))
% Current number of equations to process: 2574
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced :
% [325]
% multiply(inverse(multiply(inverse(multiply(A,c3)),C)),multiply(inverse(
% multiply(
% inverse(
% inverse(B)),c3)),V_3))
% <->
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(
% inverse(
% inverse(B)),B)),V_3))
% Current number of equations to process: 2574
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [326]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(C),
% multiply(V_3,A))))
% <->
% multiply(inverse(inverse(multiply(inverse(A),B))),inverse(multiply(inverse(C),
% multiply(V_3,B))))
% Current number of equations to process: 2573
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced :
% [327]
% multiply(inverse(inverse(multiply(inverse(A),B))),inverse(multiply(inverse(C),
% multiply(V_3,B))))
% <->
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(C),
% multiply(V_3,A))))
% Current number of equations to process: 2573
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [328]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(
% multiply(B,V_3)),A)))
% <->
% multiply(inverse(inverse(multiply(inverse(A),multiply(B,C)))),inverse(
% multiply(
% inverse(V_3),C)))
% Current number of equations to process: 2572
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [329]
% multiply(inverse(inverse(multiply(inverse(A),multiply(B,C)))),inverse(
% multiply(
% inverse(V_3),C)))
% <->
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(
% multiply(B,V_3)),A)))
% Current number of equations to process: 2572
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [330]
% multiply(inverse(multiply(V_3,B)),V_4) <->
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(inverse(C),A)),
% multiply(inverse(multiply(V_3,C)),V_4)))
% Current number of equations to process: 2571
% Current number of ordered equations: 1
% Current number of rules: 114
% New rule produced :
% [331]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(inverse(C),A)),
% multiply(inverse(multiply(V_3,C)),V_4)))
% <-> multiply(inverse(multiply(V_3,B)),V_4)
% Current number of equations to process: 2571
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [332]
% multiply(inverse(multiply(multiply(inverse(V_4),V_4),A)),inverse(multiply(B,V_3)))
% <->
% multiply(inverse(A),inverse(multiply(inverse(inverse(multiply(B,C))),
% inverse(multiply(inverse(V_3),C)))))
% Current number of equations to process: 2569
% Current number of ordered equations: 3
% Current number of rules: 116
% New rule produced :
% [333]
% multiply(inverse(B),inverse(multiply(inverse(inverse(V_4)),inverse(multiply(V_3,V_4)))))
% <->
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(multiply(
% inverse(C),C),A)),V_3))
% Current number of equations to process: 2569
% Current number of ordered equations: 2
% Current number of rules: 117
% New rule produced :
% [334]
% multiply(inverse(A),inverse(multiply(inverse(inverse(multiply(B,C))),
% inverse(multiply(inverse(V_3),C))))) <->
% multiply(inverse(multiply(multiply(inverse(V_4),V_4),A)),inverse(multiply(B,V_3)))
% Current number of equations to process: 2569
% Current number of ordered equations: 1
% Current number of rules: 118
% New rule produced :
% [335]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(multiply(
% inverse(C),C),A)),V_3))
% <->
% multiply(inverse(B),inverse(multiply(inverse(inverse(V_4)),inverse(multiply(V_3,V_4)))))
% Current number of equations to process: 2569
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [336]
% multiply(inverse(inverse(inverse(multiply(C,B)))),inverse(multiply(inverse(C),
% inverse(multiply(
% inverse(c3),c3)))))
% <-> multiply(inverse(inverse(A)),inverse(multiply(inverse(inverse(B)),A)))
% Current number of equations to process: 2568
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [337]
% multiply(inverse(multiply(inverse(V_5),multiply(V_3,B))),multiply(inverse(
% multiply(C,V_5)),V_4))
% <->
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(C,
% multiply(V_3,A))),V_4))
% Current number of equations to process: 2566
% Current number of ordered equations: 1
% Current number of rules: 121
% New rule produced :
% [338]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(C,
% multiply(V_3,A))),V_4))
% <->
% multiply(inverse(multiply(inverse(V_5),multiply(V_3,B))),multiply(inverse(
% multiply(C,V_5)),V_4))
% Current number of equations to process: 2566
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [339]
% multiply(inverse(C),multiply(A,inverse(multiply(V_4,B)))) <->
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(
% inverse(
% inverse(B)),B)),
% multiply(inverse(
% inverse(V_3)),
% inverse(multiply(V_4,V_3)))))
% Current number of equations to process: 2563
% Current number of ordered equations: 1
% Current number of rules: 123
% New rule produced :
% [340]
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(
% inverse(
% inverse(B)),B)),
% multiply(inverse(
% inverse(V_3)),
% inverse(multiply(V_4,V_3)))))
% <-> multiply(inverse(C),multiply(A,inverse(multiply(V_4,B))))
% Current number of equations to process: 2563
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [341]
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(B),C))),V_3))
% <->
% multiply(multiply(multiply(inverse(V_4),V_4),inverse(multiply(inverse(
% inverse(B)),
% inverse(inverse(V_3))))),C)
% Current number of equations to process: 2562
% Current number of ordered equations: 1
% Current number of rules: 125
% New rule produced :
% [342]
% multiply(multiply(multiply(inverse(V_4),V_4),inverse(multiply(inverse(
% inverse(B)),
% inverse(inverse(V_3))))),C)
% <->
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(B),C))),V_3))
% Current number of equations to process: 2562
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [343]
% multiply(inverse(B),inverse(multiply(multiply(multiply(inverse(V_3),V_3),
% inverse(multiply(inverse(multiply(A,
% inverse(V_4))),C))),V_4)))
% <-> multiply(inverse(multiply(A,B)),C)
% Current number of equations to process: 2560
% Current number of ordered equations: 1
% Current number of rules: 127
% New rule produced :
% [344]
% multiply(inverse(multiply(A,B)),C) <->
% multiply(inverse(B),inverse(multiply(multiply(multiply(inverse(V_3),V_3),
% inverse(multiply(inverse(multiply(A,
% inverse(V_4))),C))),V_4)))
% Current number of equations to process: 2560
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [345]
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(
% inverse(V_3),B)),
% multiply(inverse(
% multiply(A,V_3)),V_4)))
% -> multiply(inverse(C),V_4)
% Current number of equations to process: 2558
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [346]
% multiply(inverse(inverse(V_4)),inverse(multiply(inverse(multiply(inverse(B),V_3)),V_4)))
% <->
% multiply(inverse(inverse(multiply(inverse(multiply(A,B)),C))),inverse(
% multiply(
% inverse(
% multiply(A,V_3)),C)))
% Current number of equations to process: 2556
% Current number of ordered equations: 1
% Current number of rules: 130
% New rule produced :
% [347]
% multiply(inverse(inverse(multiply(inverse(multiply(A,B)),C))),inverse(
% multiply(
% inverse(
% multiply(A,V_3)),C)))
% <->
% multiply(inverse(inverse(V_4)),inverse(multiply(inverse(multiply(inverse(B),V_3)),V_4)))
% Current number of equations to process: 2556
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [348]
% multiply(inverse(inverse(multiply(inverse(c3),c3))),inverse(multiply(
% inverse(V_3),B)))
% <->
% multiply(inverse(inverse(multiply(inverse(multiply(A,B)),C))),inverse(
% multiply(
% inverse(
% multiply(A,V_3)),C)))
% Current number of equations to process: 2555
% Current number of ordered equations: 1
% Current number of rules: 132
% New rule produced :
% [349]
% multiply(inverse(inverse(multiply(inverse(multiply(A,B)),C))),inverse(
% multiply(
% inverse(
% multiply(A,V_3)),C)))
% <->
% multiply(inverse(inverse(multiply(inverse(c3),c3))),inverse(multiply(
% inverse(V_3),B)))
% Current number of equations to process: 2555
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [350]
% multiply(inverse(A),multiply(multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(
% inverse(
% multiply(C,V_3))),
% inverse(V_3)))),V_4))
% <-> multiply(inverse(multiply(C,A)),V_4)
% Current number of equations to process: 2554
% Current number of ordered equations: 1
% Current number of rules: 134
% New rule produced :
% [351]
% multiply(inverse(multiply(C,A)),V_4) <->
% multiply(inverse(A),multiply(multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(
% inverse(
% multiply(C,V_3))),
% inverse(V_3)))),V_4))
% Current number of equations to process: 2554
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [352]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,
% inverse(C))),V_3))),C)
% <->
% multiply(multiply(multiply(inverse(V_4),V_4),inverse(multiply(inverse(
% multiply(B,
% inverse(V_5))),V_3))),V_5)
% Rule
% [188]
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(
% multiply(B,
% inverse(C))),V_3))),C))
% <->
% inverse(multiply(multiply(multiply(inverse(V_4),V_4),inverse(multiply(
% inverse(
% multiply(B,
% inverse(V_5))),V_3))),V_5))
% collapsed.
% Rule
% [227]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,
% inverse(C))),V_3))),C)
% <->
% multiply(multiply(multiply(inverse(V_4),V_4),inverse(multiply(inverse(
% multiply(B,
% inverse(V_4))),V_3))),V_4)
% collapsed.
% Current number of equations to process: 2553
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [353]
% multiply(inverse(B),inverse(multiply(multiply(multiply(inverse(V_4),V_4),
% inverse(V_3)),C))) <->
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(inverse(
% inverse(C)),A)),V_3))
% Rule
% [231]
% multiply(inverse(inverse(A)),inverse(multiply(multiply(multiply(inverse(V_3),V_3),
% inverse(C)),B))) <->
% multiply(inverse(multiply(inverse(c3),inverse(A))),multiply(inverse(multiply(
% inverse(
% inverse(B)),c3)),C))
% collapsed.
% Current number of equations to process: 2588
% Current number of ordered equations: 1
% Current number of rules: 134
% New rule produced :
% [354]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(inverse(
% inverse(C)),A)),V_3))
% <->
% multiply(inverse(B),inverse(multiply(multiply(multiply(inverse(V_4),V_4),
% inverse(V_3)),C)))
% Rule
% [232]
% multiply(inverse(multiply(inverse(c3),inverse(A))),multiply(inverse(multiply(
% inverse(
% inverse(B)),c3)),C))
% <->
% multiply(inverse(inverse(A)),inverse(multiply(multiply(multiply(inverse(V_3),V_3),
% inverse(C)),B))) collapsed.
% Current number of equations to process: 2588
% Current number of ordered equations: 0
% Current number of rules: 134
% Rule [344]
% multiply(inverse(multiply(A,B)),C) <->
% multiply(inverse(B),inverse(multiply(multiply(multiply(inverse(V_3),V_3),
% inverse(multiply(inverse(multiply(A,
% inverse(V_4))),C))),V_4))) is composed into 
% [344]
% multiply(inverse(multiply(A,B)),C) <->
% multiply(inverse(B),multiply(inverse(multiply(inverse(c3),multiply(inverse(V_3),V_3))),
% multiply(inverse(multiply(inverse(inverse(V_4)),c3)),
% multiply(inverse(multiply(A,inverse(V_4))),C))))
% New rule produced :
% [355]
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(B)),C)) <->
% multiply(inverse(multiply(inverse(c3),multiply(inverse(V_3),V_3))),multiply(
% inverse(
% multiply(
% inverse(
% inverse(C)),c3)),B))
% Rule
% [88]
% multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(
% inverse(
% multiply(A,
% inverse(C))),V_3))),C)))
% -> V_3 collapsed.
% Rule
% [343]
% multiply(inverse(B),inverse(multiply(multiply(multiply(inverse(V_3),V_3),
% inverse(multiply(inverse(multiply(A,
% inverse(V_4))),C))),V_4)))
% <-> multiply(inverse(multiply(A,B)),C) collapsed.
% Current number of equations to process: 2586
% Current number of ordered equations: 1
% Current number of rules: 133
% New rule produced :
% [356]
% multiply(inverse(multiply(inverse(c3),multiply(inverse(V_3),V_3))),multiply(
% inverse(
% multiply(
% inverse(
% inverse(C)),c3)),B))
% <-> inverse(multiply(multiply(multiply(inverse(A),A),inverse(B)),C))
% Current number of equations to process: 2586
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [357]
% multiply(inverse(multiply(multiply(multiply(inverse(A),A),B),C)),multiply(
% multiply(
% multiply(
% inverse(V_3),V_3),B),V_4))
% -> multiply(inverse(C),V_4)
% Rule
% [235]
% multiply(inverse(multiply(multiply(multiply(inverse(A),A),inverse(B)),C)),
% multiply(multiply(multiply(inverse(V_3),V_3),inverse(B)),V_4)) ->
% multiply(inverse(C),V_4) collapsed.
% Current number of equations to process: 2593
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [358]
% multiply(inverse(inverse(multiply(B,C))),inverse(C)) <->
% multiply(inverse(inverse(multiply(inverse(A),A))),B)
% Rule
% [243]
% multiply(inverse(inverse(multiply(inverse(B),C))),inverse(C)) <->
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(B)) collapsed.
% Rule
% [299]
% multiply(inverse(inverse(multiply(A,B))),inverse(B)) <->
% multiply(inverse(inverse(multiply(inverse(c3),c3))),A) collapsed.
% Current number of equations to process: 2634
% Current number of ordered equations: 1
% Current number of rules: 133
% New rule produced :
% [359]
% multiply(inverse(inverse(multiply(inverse(A),A))),B) <->
% multiply(inverse(inverse(multiply(B,C))),inverse(C))
% Rule
% [242]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(B)) <->
% multiply(inverse(inverse(multiply(inverse(B),C))),inverse(C)) collapsed.
% Rule
% [300]
% multiply(inverse(inverse(multiply(inverse(c3),c3))),A) <->
% multiply(inverse(inverse(multiply(A,B))),inverse(B)) collapsed.
% Current number of equations to process: 2634
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [360]
% multiply(inverse(inverse(multiply(inverse(A),B))),inverse(multiply(C,B))) <->
% multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(C,A)))
% Current number of equations to process: 2635
% Current number of ordered equations: 1
% Current number of rules: 133
% New rule produced :
% [361]
% multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(C,A))) <->
% multiply(inverse(inverse(multiply(inverse(A),B))),inverse(multiply(C,B)))
% Current number of equations to process: 2635
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [362]
% multiply(inverse(inverse(A)),inverse(multiply(B,A))) <->
% multiply(inverse(inverse(multiply(inverse(c3),c3))),inverse(multiply(B,
% multiply(
% inverse(C),C))))
% Current number of equations to process: 2634
% Current number of ordered equations: 1
% Current number of rules: 135
% Rule [362]
% multiply(inverse(inverse(A)),inverse(multiply(B,A))) <->
% multiply(inverse(inverse(multiply(inverse(c3),c3))),inverse(multiply(B,
% multiply(
% inverse(C),C)))) is composed into 
% [362]
% multiply(inverse(inverse(A)),inverse(multiply(B,A))) <->
% multiply(inverse(inverse(c3)),inverse(multiply(B,c3)))
% New rule produced :
% [363]
% multiply(inverse(inverse(multiply(inverse(c3),c3))),inverse(multiply(B,
% multiply(
% inverse(C),C))))
% <-> multiply(inverse(inverse(A)),inverse(multiply(B,A)))
% Current number of equations to process: 2634
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [364]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(B),C)))
% <->
% multiply(inverse(inverse(multiply(inverse(C),V_3))),inverse(multiply(
% inverse(B),V_3)))
% Current number of equations to process: 2633
% Current number of ordered equations: 1
% Current number of rules: 137
% New rule produced :
% [365]
% multiply(inverse(inverse(multiply(inverse(C),V_3))),inverse(multiply(
% inverse(B),V_3)))
% <->
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(B),C)))
% Current number of equations to process: 2633
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [366]
% multiply(inverse(inverse(multiply(A,B))),inverse(multiply(inverse(C),B))) <->
% multiply(inverse(inverse(multiply(A,V_3))),inverse(multiply(inverse(C),V_3)))
% Current number of equations to process: 2655
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [367]
% multiply(inverse(inverse(multiply(inverse(c3),c3))),inverse(multiply(A,B)))
% <-> multiply(inverse(inverse(multiply(inverse(B),C))),inverse(multiply(A,C)))
% Current number of equations to process: 2667
% Current number of ordered equations: 1
% Current number of rules: 140
% New rule produced :
% [368]
% multiply(inverse(inverse(multiply(inverse(B),C))),inverse(multiply(A,C))) <->
% multiply(inverse(inverse(multiply(inverse(c3),c3))),inverse(multiply(A,B)))
% Current number of equations to process: 2667
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [369]
% multiply(inverse(A),inverse(multiply(inverse(B),C))) <->
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(multiply(inverse(C),B)),
% multiply(A,V_3))))
% Current number of equations to process: 2707
% Current number of ordered equations: 1
% Current number of rules: 142
% New rule produced :
% [370]
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(multiply(inverse(C),B)),
% multiply(A,V_3)))) <->
% multiply(inverse(A),inverse(multiply(inverse(B),C)))
% Current number of equations to process: 2707
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [371]
% inverse(multiply(inverse(A),A)) <->
% multiply(inverse(inverse(c3)),inverse(multiply(multiply(inverse(c3),c3),c3)))
% Current number of equations to process: 2727
% Current number of ordered equations: 1
% Current number of rules: 144
% Rule [371]
% inverse(multiply(inverse(A),A)) <->
% multiply(inverse(inverse(c3)),inverse(multiply(multiply(inverse(c3),c3),c3))) is composed into 
% [371] inverse(multiply(inverse(A),A)) <-> inverse(multiply(inverse(c3),c3))
% Rule [275]
% multiply(inverse(inverse(C)),inverse(multiply(multiply(inverse(V_3),V_3),C)))
% <->
% multiply(inverse(inverse(c3)),inverse(multiply(multiply(inverse(c3),c3),c3))) is composed into 
% [275]
% multiply(inverse(inverse(C)),inverse(multiply(multiply(inverse(V_3),V_3),C)))
% -> inverse(multiply(inverse(c3),c3))
% New rule produced :
% [372]
% multiply(inverse(inverse(c3)),inverse(multiply(multiply(inverse(c3),c3),c3)))
% <-> inverse(multiply(inverse(A),A))
% Current number of equations to process: 2727
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [373]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(B),inverse(multiply(
% inverse(C),C)))))
% -> B
% Rule
% [258]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(inverse(B)),
% inverse(multiply(inverse(C),C))))) ->
% inverse(B) collapsed.
% Current number of equations to process: 2731
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [374]
% multiply(inverse(A),inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))))
% <-> multiply(inverse(multiply(multiply(inverse(V_3),V_3),A)),B)
% Rule
% [293]
% multiply(inverse(A),inverse(multiply(inverse(inverse(B)),inverse(multiply(
% inverse(C),C)))))
% <-> multiply(inverse(multiply(multiply(inverse(V_3),V_3),A)),inverse(B))
% collapsed.
% Current number of equations to process: 2736
% Current number of ordered equations: 1
% Current number of rules: 145
% New rule produced :
% [375]
% multiply(inverse(multiply(multiply(inverse(V_3),V_3),A)),B) <->
% multiply(inverse(A),inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))))
% Rule
% [294]
% multiply(inverse(multiply(multiply(inverse(V_3),V_3),A)),inverse(B)) <->
% multiply(inverse(A),inverse(multiply(inverse(inverse(B)),inverse(multiply(
% inverse(C),C)))))
% collapsed.
% Current number of equations to process: 2736
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [376]
% multiply(inverse(C),inverse(multiply(inverse(V_3),V_3))) <->
% multiply(inverse(inverse(A)),inverse(multiply(multiply(multiply(inverse(B),B),C),A)))
% Current number of equations to process: 2742
% Current number of ordered equations: 1
% Current number of rules: 146
% Rule [376]
% multiply(inverse(C),inverse(multiply(inverse(V_3),V_3))) <->
% multiply(inverse(inverse(A)),inverse(multiply(multiply(multiply(
% inverse(B),B),C),A))) is composed into 
% [376]
% multiply(inverse(C),inverse(multiply(inverse(V_3),V_3))) <->
% multiply(inverse(C),inverse(multiply(inverse(c3),c3)))
% Rule [315]
% multiply(inverse(multiply(A,B)),multiply(inverse(c3),c3)) <->
% multiply(inverse(B),multiply(inverse(inverse(C)),inverse(multiply(
% multiply(
% multiply(
% inverse(V_3),V_3),A),C)))) is composed into 
% [315]
% multiply(inverse(multiply(A,B)),multiply(inverse(c3),c3)) <->
% multiply(inverse(B),multiply(inverse(A),inverse(multiply(inverse(V_3),V_3))))
% Rule [273]
% multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(inverse(
% inverse(V_4)),C))),V_4)
% <->
% multiply(inverse(inverse(A)),inverse(multiply(multiply(multiply(
% inverse(B),B),C),A))) is composed into 
% [273]
% multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(inverse(
% inverse(V_4)),C))),V_4)
% -> multiply(inverse(C),inverse(multiply(inverse(c3),c3)))
% New rule produced :
% [377]
% multiply(inverse(inverse(A)),inverse(multiply(multiply(multiply(inverse(B),B),C),A)))
% <-> multiply(inverse(C),inverse(multiply(inverse(V_3),V_3)))
% Rule
% [210]
% multiply(inverse(inverse(B)),inverse(multiply(multiply(multiply(inverse(C),C),
% inverse(V_3)),B))) -> V_3
% collapsed.
% Rule
% [223]
% multiply(A,multiply(inverse(inverse(C)),inverse(multiply(multiply(multiply(
% inverse(V_3),V_3),A),C))))
% -> multiply(inverse(c3),c3) collapsed.
% Rule
% [272]
% multiply(inverse(inverse(A)),inverse(multiply(multiply(multiply(inverse(B),B),C),A)))
% <->
% multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(inverse(
% inverse(V_4)),C))),V_4)
% collapsed.
% Rule
% [296]
% multiply(inverse(inverse(B)),inverse(multiply(multiply(multiply(inverse(B),B),A),B)))
% -> multiply(inverse(A),inverse(multiply(inverse(c3),c3))) collapsed.
% Rule
% [298]
% multiply(inverse(A),inverse(multiply(inverse(inverse(C)),inverse(multiply(
% multiply(
% multiply(
% inverse(V_3),V_3),B),C)))))
% -> multiply(inverse(A),B) collapsed.
% Rule
% [314]
% multiply(inverse(B),multiply(inverse(inverse(C)),inverse(multiply(multiply(
% multiply(
% inverse(V_3),V_3),A),C))))
% <-> multiply(inverse(multiply(A,B)),multiply(inverse(c3),c3)) collapsed.
% Current number of equations to process: 2745
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [378]
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(V_3),V_3))) -> V_3
% Current number of equations to process: 2744
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [379]
% multiply(A,multiply(inverse(A),inverse(multiply(inverse(V_3),V_3)))) <->
% multiply(inverse(c3),c3)
% Current number of equations to process: 2743
% Current number of ordered equations: 1
% Current number of rules: 143
% New rule produced :
% [380]
% multiply(inverse(c3),c3) <->
% multiply(A,multiply(inverse(A),inverse(multiply(inverse(V_3),V_3))))
% Current number of equations to process: 2743
% Current number of ordered equations: 0
% Current number of rules: 144
% Rule [375]
% multiply(inverse(multiply(multiply(inverse(V_3),V_3),A)),B) <->
% multiply(inverse(A),inverse(multiply(inverse(B),inverse(multiply(
% inverse(C),C))))) is composed into 
% [375]
% multiply(inverse(multiply(multiply(inverse(V_3),V_3),A)),B) ->
% multiply(inverse(A),B)
% New rule produced :
% [381]
% multiply(inverse(A),inverse(multiply(inverse(B),inverse(multiply(inverse(V_3),V_3)))))
% -> multiply(inverse(A),B)
% Rule
% [336]
% multiply(inverse(inverse(inverse(multiply(C,B)))),inverse(multiply(inverse(C),
% inverse(multiply(
% inverse(c3),c3)))))
% <-> multiply(inverse(inverse(A)),inverse(multiply(inverse(inverse(B)),A)))
% collapsed.
% Rule
% [374]
% multiply(inverse(A),inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))))
% <-> multiply(inverse(multiply(multiply(inverse(V_3),V_3),A)),B) collapsed.
% Current number of equations to process: 2743
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [382]
% multiply(inverse(inverse(inverse(multiply(C,B)))),C) <->
% multiply(inverse(inverse(A)),inverse(multiply(inverse(inverse(B)),A)))
% Current number of equations to process: 2742
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [383]
% multiply(inverse(A),inverse(multiply(inverse(inverse(B)),inverse(multiply(
% inverse(C),B)))))
% -> multiply(inverse(A),inverse(C))
% Current number of equations to process: 2765
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [384]
% multiply(inverse(inverse(C)),inverse(multiply(inverse(multiply(inverse(A),B)),C)))
% <-> multiply(inverse(A),multiply(multiply(inverse(c3),c3),B))
% Current number of equations to process: 2774
% Current number of ordered equations: 1
% Current number of rules: 146
% New rule produced :
% [385]
% multiply(inverse(A),multiply(multiply(inverse(c3),c3),B)) <->
% multiply(inverse(inverse(C)),inverse(multiply(inverse(multiply(inverse(A),B)),C)))
% Current number of equations to process: 2774
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [386]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(B,C))) <->
% multiply(inverse(inverse(multiply(inverse(C),V_3))),inverse(multiply(B,V_3)))
% Rule
% [248]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(C,A))) <->
% multiply(inverse(inverse(multiply(inverse(A),B))),inverse(multiply(C,B)))
% collapsed.
% Rule
% [361]
% multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(C,A))) <->
% multiply(inverse(inverse(multiply(inverse(A),B))),inverse(multiply(C,B)))
% collapsed.
% Rule
% [364]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(B),C)))
% <->
% multiply(inverse(inverse(multiply(inverse(C),V_3))),inverse(multiply(
% inverse(B),V_3)))
% collapsed.
% Rule
% [367]
% multiply(inverse(inverse(multiply(inverse(c3),c3))),inverse(multiply(A,B)))
% <-> multiply(inverse(inverse(multiply(inverse(B),C))),inverse(multiply(A,C)))
% collapsed.
% Current number of equations to process: 2773
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [387]
% multiply(inverse(B),inverse(multiply(inverse(V_3),V_3))) <->
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(inverse(C)),
% inverse(multiply(A,C))))
% Current number of equations to process: 2775
% Current number of ordered equations: 1
% Current number of rules: 145
% Rule [387]
% multiply(inverse(B),inverse(multiply(inverse(V_3),V_3))) <->
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(inverse(C)),
% inverse(multiply(A,C)))) is composed into 
% [387]
% multiply(inverse(B),inverse(multiply(inverse(V_3),V_3))) <->
% multiply(inverse(B),inverse(multiply(inverse(c3),c3)))
% New rule produced :
% [388]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(inverse(C)),
% inverse(multiply(A,C)))) <->
% multiply(inverse(B),inverse(multiply(inverse(V_3),V_3)))
% Current number of equations to process: 2775
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [389]
% multiply(inverse(multiply(inverse(inverse(A)),B)),multiply(inverse(C),
% inverse(multiply(inverse(V_3),V_3))))
% <-> multiply(inverse(B),inverse(multiply(C,A)))
% Current number of equations to process: 2773
% Current number of ordered equations: 3
% Current number of rules: 147
% New rule produced :
% [390]
% multiply(inverse(inverse(multiply(A,C))),V_3) <->
% multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))),
% multiply(inverse(inverse(C)),V_3))
% Current number of equations to process: 2773
% Current number of ordered equations: 2
% Current number of rules: 148
% New rule produced :
% [391]
% multiply(inverse(B),inverse(multiply(C,A))) <->
% multiply(inverse(multiply(inverse(inverse(A)),B)),multiply(inverse(C),
% inverse(multiply(inverse(V_3),V_3))))
% Current number of equations to process: 2773
% Current number of ordered equations: 1
% Current number of rules: 149
% New rule produced :
% [392]
% multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))),
% multiply(inverse(inverse(C)),V_3)) <->
% multiply(inverse(inverse(multiply(A,C))),V_3)
% Current number of equations to process: 2773
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [393]
% multiply(inverse(A),multiply(multiply(inverse(c3),c3),inverse(inverse(
% multiply(
% inverse(B),B)))))
% <-> multiply(inverse(inverse(multiply(inverse(A),C))),inverse(C))
% Current number of equations to process: 2772
% Current number of ordered equations: 1
% Current number of rules: 151
% New rule produced :
% [394]
% multiply(inverse(inverse(multiply(inverse(A),C))),inverse(C)) <->
% multiply(inverse(A),multiply(multiply(inverse(c3),c3),inverse(inverse(
% multiply(
% inverse(B),B)))))
% Current number of equations to process: 2772
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [395]
% multiply(inverse(inverse(multiply(A,B))),inverse(multiply(inverse(multiply(B,V_3)),B)))
% <->
% multiply(inverse(inverse(multiply(A,multiply(B,C)))),inverse(multiply(
% inverse(V_3),C)))
% Current number of equations to process: 2771
% Current number of ordered equations: 1
% Current number of rules: 153
% New rule produced :
% [396]
% multiply(inverse(inverse(multiply(A,multiply(B,C)))),inverse(multiply(
% inverse(V_3),C)))
% <->
% multiply(inverse(inverse(multiply(A,B))),inverse(multiply(inverse(multiply(B,V_3)),B)))
% Current number of equations to process: 2771
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [397]
% inverse(multiply(inverse(V_3),V_3)) <->
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(inverse(C)),
% inverse(multiply(multiply(inverse(B),A),C))))
% Current number of equations to process: 2770
% Current number of ordered equations: 1
% Current number of rules: 155
% Rule [397]
% inverse(multiply(inverse(V_3),V_3)) <->
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(inverse(C)),
% inverse(multiply(multiply(
% inverse(B),A),C)))) is composed into 
% [397]
% inverse(multiply(inverse(V_3),V_3)) <-> inverse(multiply(inverse(c3),c3))
% New rule produced :
% [398]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(inverse(C)),
% inverse(multiply(multiply(inverse(B),A),C))))
% <-> inverse(multiply(inverse(V_3),V_3))
% Current number of equations to process: 2770
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [399]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(
% inverse(C)),A)))
% <-> multiply(inverse(inverse(multiply(inverse(A),inverse(multiply(B,C))))),B)
% Current number of equations to process: 2806
% Current number of ordered equations: 1
% Current number of rules: 157
% New rule produced :
% [400]
% multiply(inverse(inverse(multiply(inverse(A),inverse(multiply(B,C))))),B) <->
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(
% inverse(C)),A)))
% Current number of equations to process: 2806
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [401]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(C,
% multiply(V_3,A))))
% <->
% multiply(inverse(inverse(multiply(inverse(A),B))),inverse(multiply(C,
% multiply(V_3,B))))
% Rule
% [326]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(C),
% multiply(V_3,A))))
% <->
% multiply(inverse(inverse(multiply(inverse(A),B))),inverse(multiply(inverse(C),
% multiply(V_3,B))))
% collapsed.
% Current number of equations to process: 2821
% Current number of ordered equations: 1
% Current number of rules: 158
% New rule produced :
% [402]
% multiply(inverse(inverse(multiply(inverse(A),B))),inverse(multiply(C,
% multiply(V_3,B))))
% <->
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(C,
% multiply(V_3,A))))
% Rule
% [327]
% multiply(inverse(inverse(multiply(inverse(A),B))),inverse(multiply(inverse(C),
% multiply(V_3,B))))
% <->
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(C),
% multiply(V_3,A))))
% collapsed.
% Current number of equations to process: 2821
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [403]
% multiply(inverse(inverse(A)),inverse(multiply(inverse(B),A))) <->
% multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(B),
% multiply(inverse(V_3),V_3))))
% Current number of equations to process: 2848
% Current number of ordered equations: 1
% Current number of rules: 159
% Rule [403]
% multiply(inverse(inverse(A)),inverse(multiply(inverse(B),A))) <->
% multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(
% inverse(B),
% multiply(
% inverse(V_3),V_3)))) is composed into 
% [403]
% multiply(inverse(inverse(A)),inverse(multiply(inverse(B),A))) <->
% multiply(inverse(inverse(c3)),inverse(multiply(inverse(B),c3)))
% New rule produced :
% [404]
% multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(B),
% multiply(inverse(V_3),V_3))))
% <-> multiply(inverse(inverse(A)),inverse(multiply(inverse(B),A)))
% Current number of equations to process: 2848
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [405]
% multiply(inverse(A),inverse(multiply(inverse(V_3),C))) <->
% multiply(inverse(A),inverse(multiply(inverse(inverse(multiply(inverse(B),B))),
% inverse(multiply(inverse(C),V_3)))))
% Current number of equations to process: 2858
% Current number of ordered equations: 1
% Current number of rules: 161
% New rule produced :
% [406]
% multiply(inverse(A),inverse(multiply(inverse(inverse(multiply(inverse(B),B))),
% inverse(multiply(inverse(C),V_3))))) <->
% multiply(inverse(A),inverse(multiply(inverse(V_3),C)))
% Current number of equations to process: 2858
% Current number of ordered equations: 0
% Current number of rules: 162
% Rule [335]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(
% multiply(
% inverse(C),C),A)),V_3))
% <->
% multiply(inverse(B),inverse(multiply(inverse(inverse(V_4)),inverse(
% multiply(V_3,V_4))))) is composed into 
% [335]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(multiply(
% inverse(C),C),A)),V_3))
% -> multiply(inverse(B),V_3)
% Rule [222]
% multiply(inverse(multiply(multiply(inverse(V_5),V_5),B)),V_4) <->
% multiply(inverse(B),inverse(multiply(inverse(inverse(V_3)),inverse(
% multiply(V_4,V_3))))) is composed into 
% [222]
% multiply(inverse(multiply(multiply(inverse(V_5),V_5),B)),V_4) ->
% multiply(inverse(B),V_4)
% New rule produced :
% [407]
% multiply(inverse(A),inverse(multiply(inverse(inverse(B)),inverse(multiply(C,B)))))
% -> multiply(inverse(A),C)
% Rule
% [221]
% multiply(inverse(B),inverse(multiply(inverse(inverse(V_3)),inverse(multiply(V_4,V_3)))))
% <-> multiply(inverse(multiply(multiply(inverse(V_5),V_5),B)),V_4) collapsed.
% Rule
% [321]
% multiply(inverse(inverse(inverse(multiply(A,B)))),inverse(multiply(inverse(
% inverse(C)),
% inverse(multiply(A,C)))))
% <->
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(inverse(B)),V_3)))
% collapsed.
% Rule
% [333]
% multiply(inverse(B),inverse(multiply(inverse(inverse(V_4)),inverse(multiply(V_3,V_4)))))
% <->
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(multiply(
% inverse(C),C),A)),V_3))
% collapsed.
% Rule
% [383]
% multiply(inverse(A),inverse(multiply(inverse(inverse(B)),inverse(multiply(
% inverse(C),B)))))
% -> multiply(inverse(A),inverse(C)) collapsed.
% Current number of equations to process: 2957
% Current number of ordered equations: 0
% Current number of rules: 159
% Rule [332]
% multiply(inverse(multiply(multiply(inverse(V_4),V_4),A)),inverse(
% multiply(B,V_3)))
% <->
% multiply(inverse(A),inverse(multiply(inverse(inverse(multiply(B,C))),
% inverse(multiply(inverse(V_3),C))))) is composed into 
% [332]
% multiply(inverse(multiply(multiply(inverse(V_4),V_4),A)),inverse(multiply(B,V_3)))
% -> multiply(inverse(A),inverse(multiply(B,V_3)))
% New rule produced :
% [408]
% multiply(inverse(A),inverse(multiply(inverse(inverse(multiply(B,C))),
% inverse(multiply(inverse(V_3),C))))) ->
% multiply(inverse(A),inverse(multiply(B,V_3)))
% Rule
% [334]
% multiply(inverse(A),inverse(multiply(inverse(inverse(multiply(B,C))),
% inverse(multiply(inverse(V_3),C))))) <->
% multiply(inverse(multiply(multiply(inverse(V_4),V_4),A)),inverse(multiply(B,V_3)))
% collapsed.
% Current number of equations to process: 2990
% Current number of ordered equations: 0
% Current number of rules: 159
% Rule [368]
% multiply(inverse(inverse(multiply(inverse(B),C))),inverse(multiply(A,C)))
% <->
% multiply(inverse(inverse(multiply(inverse(c3),c3))),inverse(multiply(A,B))) is composed into 
% [368]
% multiply(inverse(inverse(multiply(inverse(B),C))),inverse(multiply(A,C))) <->
% multiply(multiply(inverse(c3),c3),inverse(multiply(A,B)))
% Rule [349]
% multiply(inverse(inverse(multiply(inverse(multiply(A,B)),C))),inverse(
% multiply(
% inverse(
% multiply(A,V_3)),C)))
% <->
% multiply(inverse(inverse(multiply(inverse(c3),c3))),inverse(multiply(
% inverse(V_3),B))) is composed into 
% [349]
% multiply(inverse(inverse(multiply(inverse(multiply(A,B)),C))),inverse(
% multiply(
% inverse(
% multiply(A,V_3)),C)))
% <-> multiply(multiply(inverse(c3),c3),inverse(multiply(inverse(V_3),B)))
% New rule produced :
% [409] inverse(inverse(multiply(inverse(c3),c3))) <-> multiply(inverse(A),A)
% Rule
% [303]
% multiply(inverse(inverse(multiply(inverse(c3),c3))),multiply(inverse(C),C))
% <->
% multiply(inverse(inverse(A)),inverse(inverse(multiply(inverse(inverse(B)),
% inverse(multiply(A,B))))))
% collapsed.
% Rule
% [323]
% multiply(inverse(inverse(multiply(inverse(c3),c3))),inverse(inverse(C))) <->
% multiply(inverse(B),multiply(multiply(inverse(c3),c3),inverse(inverse(
% multiply(B,C)))))
% collapsed.
% Rule
% [348]
% multiply(inverse(inverse(multiply(inverse(c3),c3))),inverse(multiply(
% inverse(V_3),B)))
% <->
% multiply(inverse(inverse(multiply(inverse(multiply(A,B)),C))),inverse(
% multiply(
% inverse(
% multiply(A,V_3)),C)))
% collapsed.
% Rule
% [363]
% multiply(inverse(inverse(multiply(inverse(c3),c3))),inverse(multiply(B,
% multiply(
% inverse(C),C))))
% <-> multiply(inverse(inverse(A)),inverse(multiply(B,A))) collapsed.
% Current number of equations to process: 2997
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [410]
% multiply(inverse(inverse(A)),inverse(multiply(B,A))) <->
% multiply(multiply(inverse(c3),c3),inverse(multiply(B,multiply(inverse(C),C))))
% Current number of equations to process: 2996
% Current number of ordered equations: 1
% Current number of rules: 157
% Rule [410]
% multiply(inverse(inverse(A)),inverse(multiply(B,A))) <->
% multiply(multiply(inverse(c3),c3),inverse(multiply(B,multiply(inverse(C),C)))) is composed into 
% [410]
% multiply(inverse(inverse(A)),inverse(multiply(B,A))) <->
% multiply(inverse(inverse(c3)),inverse(multiply(B,c3)))
% New rule produced :
% [411]
% multiply(multiply(inverse(c3),c3),inverse(multiply(B,multiply(inverse(C),C))))
% <-> multiply(inverse(inverse(A)),inverse(multiply(B,A)))
% Current number of equations to process: 2996
% Current number of ordered equations: 0
% Current number of rules: 158
% Rule [305]
% multiply(inverse(B),multiply(multiply(multiply(inverse(V_3),V_3),
% inverse(multiply(inverse(inverse(V_4)),A))),V_4))
% <-> multiply(inverse(multiply(A,B)),multiply(inverse(C),C)) is composed into 
% [305]
% multiply(inverse(B),multiply(multiply(multiply(inverse(V_3),V_3),inverse(
% multiply(
% inverse(
% inverse(V_4)),A))),V_4))
% ->
% multiply(inverse(B),multiply(inverse(A),inverse(multiply(inverse(c3),c3))))
% New rule produced :
% [412]
% multiply(inverse(multiply(B,A)),multiply(inverse(C),C)) ->
% multiply(inverse(A),multiply(inverse(B),inverse(multiply(inverse(c3),c3))))
% Rule
% [73]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(C),C)) ->
% multiply(inverse(B),A) collapsed.
% Rule
% [306]
% multiply(inverse(multiply(A,B)),multiply(inverse(C),C)) <->
% multiply(inverse(B),multiply(multiply(multiply(inverse(V_3),V_3),inverse(
% multiply(
% inverse(
% inverse(V_4)),A))),V_4))
% collapsed.
% Rule
% [315]
% multiply(inverse(multiply(A,B)),multiply(inverse(c3),c3)) <->
% multiply(inverse(B),multiply(inverse(A),inverse(multiply(inverse(V_3),V_3))))
% collapsed.
% Current number of equations to process: 3000
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [413]
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(inverse(A),
% multiply(inverse(c3),c3))),B))
% -> multiply(A,B)
% Current number of equations to process: 2999
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [414]
% multiply(inverse(A),multiply(inverse(B),B)) <->
% multiply(inverse(A),inverse(multiply(inverse(c3),c3)))
% Current number of equations to process: 2999
% Current number of ordered equations: 1
% Current number of rules: 158
% Rule [414]
% multiply(inverse(A),multiply(inverse(B),B)) <->
% multiply(inverse(A),inverse(multiply(inverse(c3),c3))) is composed into 
% [414]
% multiply(inverse(A),multiply(inverse(B),B)) <->
% multiply(inverse(A),multiply(inverse(c3),c3))
% Rule [412]
% multiply(inverse(multiply(B,A)),multiply(inverse(C),C)) ->
% multiply(inverse(A),multiply(inverse(B),inverse(multiply(inverse(c3),c3)))) is composed into 
% [412]
% multiply(inverse(multiply(B,A)),multiply(inverse(C),C)) ->
% multiply(inverse(A),multiply(inverse(B),multiply(inverse(c3),c3)))
% Rule [387]
% multiply(inverse(B),inverse(multiply(inverse(V_3),V_3))) <->
% multiply(inverse(B),inverse(multiply(inverse(c3),c3))) is composed into 
% [387]
% multiply(inverse(B),inverse(multiply(inverse(V_3),V_3))) <->
% multiply(inverse(B),multiply(inverse(c3),c3))
% Rule [376]
% multiply(inverse(C),inverse(multiply(inverse(V_3),V_3))) <->
% multiply(inverse(C),inverse(multiply(inverse(c3),c3))) is composed into 
% [376]
% multiply(inverse(C),inverse(multiply(inverse(V_3),V_3))) <->
% multiply(inverse(C),multiply(inverse(c3),c3))
% Rule [305]
% multiply(inverse(B),multiply(multiply(multiply(inverse(V_3),V_3),
% inverse(multiply(inverse(inverse(V_4)),A))),V_4))
% ->
% multiply(inverse(B),multiply(inverse(A),inverse(multiply(inverse(c3),c3)))) is composed into 
% [305]
% multiply(inverse(B),multiply(multiply(multiply(inverse(V_3),V_3),inverse(
% multiply(
% inverse(
% inverse(V_4)),A))),V_4))
% -> multiply(inverse(B),multiply(inverse(A),multiply(inverse(c3),c3)))
% Rule [273]
% multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(inverse(
% inverse(V_4)),C))),V_4)
% -> multiply(inverse(C),inverse(multiply(inverse(c3),c3))) is composed into 
% [273]
% multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(inverse(
% inverse(V_4)),C))),V_4)
% -> multiply(inverse(C),multiply(inverse(c3),c3))
% New rule produced :
% [415]
% multiply(inverse(A),inverse(multiply(inverse(c3),c3))) <->
% multiply(inverse(A),multiply(inverse(B),B))
% Rule
% [301] multiply(inverse(inverse(A)),inverse(multiply(inverse(c3),c3))) -> A
% collapsed.
% Current number of equations to process: 3000
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [416] multiply(inverse(inverse(A)),multiply(inverse(c3),c3)) -> A
% Current number of equations to process: 2999
% Current number of ordered equations: 0
% Current number of rules: 159
% Rule [289]
% multiply(inverse(inverse(A)),inverse(inverse(multiply(multiply(multiply(
% inverse(B),B),
% inverse(A)),C))))
% ->
% multiply(inverse(c3),multiply(multiply(inverse(c3),c3),inverse(inverse(
% multiply(c3,C))))) is composed into 
% [289]
% multiply(inverse(inverse(A)),inverse(inverse(multiply(multiply(multiply(
% inverse(B),B),
% inverse(A)),C)))) ->
% multiply(multiply(inverse(c3),c3),inverse(inverse(C)))
% New rule produced :
% [417]
% multiply(inverse(B),multiply(multiply(inverse(c3),c3),inverse(inverse(
% multiply(B,C)))))
% -> multiply(multiply(inverse(c3),c3),inverse(inverse(C)))
% Rule
% [322]
% multiply(inverse(B),multiply(multiply(inverse(c3),c3),inverse(inverse(
% multiply(B,C)))))
% <->
% multiply(inverse(c3),multiply(multiply(inverse(c3),c3),inverse(inverse(
% multiply(c3,C)))))
% collapsed.
% Current number of equations to process: 2998
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [418]
% inverse(multiply(multiply(multiply(inverse(C),C),inverse(B)),A)) <->
% multiply(inverse(A),B)
% Rule
% [213]
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(
% inverse(C)),V_3))),C))
% -> V_3 collapsed.
% Current number of equations to process: 3000
% Current number of ordered equations: 1
% Current number of rules: 159
% New rule produced :
% [419] multiply(inverse(C),multiply(inverse(inverse(C)),V_3)) -> V_3
% Current number of equations to process: 2999
% Current number of ordered equations: 1
% Current number of rules: 160
% New rule produced :
% [420]
% multiply(inverse(A),B) <->
% inverse(multiply(multiply(multiply(inverse(C),C),inverse(B)),A))
% Rule
% [288]
% multiply(inverse(inverse(inverse(multiply(multiply(multiply(inverse(A),A),
% inverse(B)),C)))),inverse(B)) <->
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(inverse(C)),V_3)))
% collapsed.
% Current number of equations to process: 3000
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [421]
% multiply(inverse(inverse(A)),inverse(inverse(multiply(inverse(inverse(B)),
% inverse(multiply(A,B)))))) <->
% multiply(multiply(inverse(c3),c3),multiply(inverse(C),C))
% Current number of equations to process: 2999
% Current number of ordered equations: 1
% Current number of rules: 161
% Rule [421]
% multiply(inverse(inverse(A)),inverse(inverse(multiply(inverse(inverse(B)),
% inverse(multiply(A,B))))))
% <-> multiply(multiply(inverse(c3),c3),multiply(inverse(C),C)) is composed into 
% [421]
% multiply(inverse(inverse(A)),inverse(inverse(multiply(inverse(inverse(B)),
% inverse(multiply(A,B)))))) <->
% multiply(inverse(inverse(c3)),inverse(inverse(multiply(inverse(inverse(c3)),
% inverse(multiply(c3,c3))))))
% New rule produced :
% [422]
% multiply(multiply(inverse(c3),c3),multiply(inverse(C),C)) <->
% multiply(inverse(inverse(A)),inverse(inverse(multiply(inverse(inverse(B)),
% inverse(multiply(A,B))))))
% Current number of equations to process: 2999
% Current number of ordered equations: 0
% Current number of rules: 162
% Rule [351]
% multiply(inverse(multiply(C,A)),V_4) <->
% multiply(inverse(A),multiply(multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(
% inverse(
% multiply(C,V_3))),
% inverse(V_3)))),V_4)) is composed into 
% [351]
% multiply(inverse(multiply(C,A)),V_4) <->
% multiply(inverse(A),multiply(multiply(multiply(inverse(B),B),multiply(
% inverse(
% inverse(V_3)),
% multiply(
% inverse(
% inverse(c3)),
% inverse(
% multiply(
% inverse(
% inverse(
% multiply(C,V_3))),c3))))),V_4))
% Rule [285]
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(inverse(
% multiply(B,A))),V_3)))
% <->
% multiply(inverse(inverse(inverse(A))),inverse(multiply(inverse(inverse(
% multiply(B,C))),
% inverse(C)))) is composed into 
% [285]
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(inverse(multiply(B,A))),V_3)))
% <->
% multiply(inverse(inverse(inverse(A))),multiply(inverse(inverse(C)),multiply(
% inverse(
% inverse(c3)),
% inverse(
% multiply(
% inverse(
% inverse(
% multiply(B,C))),c3)))))
% New rule produced :
% [423]
% inverse(multiply(C,A)) <->
% multiply(inverse(A),multiply(inverse(inverse(B)),inverse(multiply(C,B))))
% Rule
% [259]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(inverse(
% multiply(B,C))),
% inverse(C)))),multiply(B,V_3))
% -> V_3 collapsed.
% Rule
% [284]
% multiply(inverse(inverse(inverse(A))),inverse(multiply(inverse(inverse(
% multiply(B,C))),
% inverse(C)))) <->
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(inverse(multiply(B,A))),V_3)))
% collapsed.
% Rule
% [286]
% multiply(inverse(inverse(multiply(inverse(inverse(multiply(A,B))),inverse(B)))),
% inverse(inverse(C))) ->
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(inverse(multiply(A,C))))
% collapsed.
% Rule
% [350]
% multiply(inverse(A),multiply(multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(
% inverse(
% multiply(C,V_3))),
% inverse(V_3)))),V_4))
% <-> multiply(inverse(multiply(C,A)),V_4) collapsed.
% Current number of equations to process: 3011
% Current number of ordered equations: 1
% Current number of rules: 159
% New rule produced :
% [424]
% multiply(inverse(A),multiply(inverse(inverse(B)),inverse(multiply(C,B)))) <->
% inverse(multiply(C,A))
% Rule
% [388]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(inverse(C)),
% inverse(multiply(A,C)))) <->
% multiply(inverse(B),inverse(multiply(inverse(V_3),V_3))) collapsed.
% Current number of equations to process: 3012
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [425]
% inverse(multiply(A,multiply(inverse(A),B))) <->
% multiply(inverse(B),inverse(multiply(inverse(V_3),V_3)))
% Current number of equations to process: 3011
% Current number of ordered equations: 1
% Current number of rules: 160
% New rule produced :
% [426]
% multiply(inverse(B),inverse(multiply(inverse(V_3),V_3))) <->
% inverse(multiply(A,multiply(inverse(A),B)))
% Rule
% [378]
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(V_3),V_3))) -> V_3
% collapsed.
% Current number of equations to process: 3012
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [427] inverse(multiply(c3,multiply(inverse(c3),inverse(V_3)))) -> V_3
% Current number of equations to process: 3011
% Current number of ordered equations: 0
% Current number of rules: 161
% Rule [394]
% multiply(inverse(inverse(multiply(inverse(A),C))),inverse(C)) <->
% multiply(inverse(A),multiply(multiply(inverse(c3),c3),inverse(inverse(
% multiply(
% inverse(B),B))))) is composed into 
% [394]
% multiply(inverse(inverse(multiply(inverse(A),C))),inverse(C)) <->
% multiply(inverse(A),inverse(inverse(multiply(inverse(B),B))))
% Rule [384]
% multiply(inverse(inverse(C)),inverse(multiply(inverse(multiply(inverse(A),B)),C)))
% <-> multiply(inverse(A),multiply(multiply(inverse(c3),c3),B)) is composed into 
% [384]
% multiply(inverse(inverse(C)),inverse(multiply(inverse(multiply(inverse(A),B)),C)))
% -> multiply(inverse(A),B)
% Rule [264]
% multiply(inverse(inverse(multiply(inverse(inverse(V_3)),inverse(
% multiply(A,V_3))))),C)
% <-> multiply(inverse(A),multiply(multiply(inverse(B),B),C)) is composed into 
% [264]
% multiply(inverse(inverse(multiply(inverse(inverse(V_3)),inverse(multiply(A,V_3))))),C)
% -> multiply(inverse(A),C)
% New rule produced :
% [428]
% multiply(inverse(A),multiply(multiply(inverse(B),B),C)) ->
% multiply(inverse(A),C)
% Rule
% [256]
% multiply(inverse(multiply(multiply(inverse(A),A),B)),multiply(multiply(
% inverse(C),C),V_3))
% -> multiply(inverse(B),V_3) collapsed.
% Rule
% [263]
% multiply(inverse(A),multiply(multiply(inverse(B),B),C)) <->
% multiply(inverse(A),multiply(multiply(inverse(c3),c3),C)) collapsed.
% Rule
% [385]
% multiply(inverse(A),multiply(multiply(inverse(c3),c3),B)) <->
% multiply(inverse(inverse(C)),inverse(multiply(inverse(multiply(inverse(A),B)),C)))
% collapsed.
% Rule
% [393]
% multiply(inverse(A),multiply(multiply(inverse(c3),c3),inverse(inverse(
% multiply(
% inverse(B),B)))))
% <-> multiply(inverse(inverse(multiply(inverse(A),C))),inverse(C)) collapsed.
% Rule
% [417]
% multiply(inverse(B),multiply(multiply(inverse(c3),c3),inverse(inverse(
% multiply(B,C)))))
% -> multiply(multiply(inverse(c3),c3),inverse(inverse(C))) collapsed.
% Current number of equations to process: 3014
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [429]
% multiply(inverse(B),inverse(inverse(multiply(B,C)))) <->
% multiply(multiply(inverse(c3),c3),inverse(inverse(C)))
% Current number of equations to process: 3013
% Current number of ordered equations: 1
% Current number of rules: 158
% Rule [429]
% multiply(inverse(B),inverse(inverse(multiply(B,C)))) <->
% multiply(multiply(inverse(c3),c3),inverse(inverse(C))) is composed into 
% [429]
% multiply(inverse(B),inverse(inverse(multiply(B,C)))) <->
% multiply(inverse(c3),inverse(inverse(multiply(c3,C))))
% Rule [289]
% multiply(inverse(inverse(A)),inverse(inverse(multiply(multiply(multiply(
% inverse(B),B),
% inverse(A)),C))))
% -> multiply(multiply(inverse(c3),c3),inverse(inverse(C))) is composed into 
% [289]
% multiply(inverse(inverse(A)),inverse(inverse(multiply(multiply(multiply(
% inverse(B),B),
% inverse(A)),C)))) ->
% multiply(inverse(c3),inverse(inverse(multiply(c3,C))))
% New rule produced :
% [430]
% multiply(multiply(inverse(c3),c3),inverse(inverse(C))) <->
% multiply(inverse(B),inverse(inverse(multiply(B,C))))
% Current number of equations to process: 3013
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [431]
% multiply(inverse(A),multiply(inverse(c3),c3)) <->
% multiply(inverse(A),inverse(inverse(multiply(inverse(B),B))))
% Current number of equations to process: 3012
% Current number of ordered equations: 1
% Current number of rules: 160
% New rule produced :
% [432]
% multiply(inverse(A),inverse(inverse(multiply(inverse(B),B)))) <->
% multiply(inverse(A),multiply(inverse(c3),c3))
% Current number of equations to process: 3012
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [433]
% multiply(inverse(multiply(B,multiply(inverse(V_3),V_3))),C) <->
% multiply(inverse(multiply(inverse(A),multiply(inverse(c3),c3))),multiply(
% inverse(
% multiply(B,A)),C))
% Current number of equations to process: 3011
% Current number of ordered equations: 1
% Current number of rules: 162
% New rule produced :
% [434]
% multiply(inverse(multiply(inverse(A),multiply(inverse(c3),c3))),multiply(
% inverse(
% multiply(B,A)),C))
% <-> multiply(inverse(multiply(B,multiply(inverse(V_3),V_3))),C)
% Current number of equations to process: 3011
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [435]
% multiply(inverse(B),multiply(inverse(inverse(C)),multiply(inverse(V_3),V_3)))
% <-> multiply(multiply(multiply(inverse(A),A),inverse(B)),C)
% Current number of equations to process: 3038
% Current number of ordered equations: 1
% Current number of rules: 164
% New rule produced :
% [436]
% multiply(multiply(multiply(inverse(A),A),inverse(B)),C) <->
% multiply(inverse(B),multiply(inverse(inverse(C)),multiply(inverse(V_3),V_3)))
% Rule
% [214]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(inverse(C)),
% inverse(V_3)))),C) -> V_3
% collapsed.
% Rule
% [273]
% multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(inverse(
% inverse(V_4)),C))),V_4)
% -> multiply(inverse(C),multiply(inverse(c3),c3)) collapsed.
% Rule
% [274]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(inverse(B)),C))),B)
% <->
% multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(inverse(
% inverse(V_4)),C))),V_4)
% collapsed.
% Rule
% [305]
% multiply(inverse(B),multiply(multiply(multiply(inverse(V_3),V_3),inverse(
% multiply(
% inverse(
% inverse(V_4)),A))),V_4))
% -> multiply(inverse(B),multiply(inverse(A),multiply(inverse(c3),c3)))
% collapsed.
% Rule
% [352]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,
% inverse(C))),V_3))),C)
% <->
% multiply(multiply(multiply(inverse(V_4),V_4),inverse(multiply(inverse(
% multiply(B,
% inverse(V_5))),V_3))),V_5)
% collapsed.
% Current number of equations to process: 3040
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [437] multiply(inverse(inverse(V_3)),multiply(inverse(V_3),V_3)) -> V_3
% Current number of equations to process: 3039
% Current number of ordered equations: 0
% Current number of rules: 161
% Rule [359]
% multiply(inverse(inverse(multiply(inverse(A),A))),B) <->
% multiply(inverse(inverse(multiply(B,C))),inverse(C)) is composed into 
% [359]
% multiply(inverse(inverse(multiply(inverse(A),A))),B) <->
% multiply(B,multiply(inverse(B),B))
% New rule produced :
% [438]
% multiply(inverse(inverse(multiply(A,C))),inverse(C)) <->
% multiply(A,multiply(inverse(B),B))
% Rule
% [207]
% multiply(inverse(inverse(multiply(B,C))),inverse(C)) <->
% multiply(inverse(inverse(multiply(B,V_5))),inverse(V_5)) collapsed.
% Rule
% [271]
% multiply(inverse(multiply(inverse(inverse(multiply(A,B))),C)),multiply(
% inverse(
% inverse(
% multiply(A,V_3))),
% inverse(V_3)))
% -> multiply(inverse(C),inverse(B)) collapsed.
% Rule
% [358]
% multiply(inverse(inverse(multiply(B,C))),inverse(C)) <->
% multiply(inverse(inverse(multiply(inverse(A),A))),B) collapsed.
% Rule
% [394]
% multiply(inverse(inverse(multiply(inverse(A),C))),inverse(C)) <->
% multiply(inverse(A),inverse(inverse(multiply(inverse(B),B)))) collapsed.
% Current number of equations to process: 3042
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [439]
% multiply(inverse(A),inverse(inverse(multiply(inverse(B),B)))) <->
% multiply(multiply(inverse(c3),c3),inverse(A))
% Current number of equations to process: 3040
% Current number of ordered equations: 1
% Current number of rules: 159
% New rule produced :
% [440]
% multiply(multiply(inverse(c3),c3),inverse(A)) <->
% multiply(inverse(A),inverse(inverse(multiply(inverse(B),B))))
% Current number of equations to process: 3040
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [441]
% multiply(inverse(multiply(inverse(inverse(multiply(A,B))),C)),multiply(A,
% multiply(
% inverse(c3),c3)))
% -> multiply(inverse(C),inverse(B))
% Current number of equations to process: 3039
% Current number of ordered equations: 0
% Current number of rules: 161
% Rule [404]
% multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(
% inverse(B),
% multiply(
% inverse(V_3),V_3))))
% <-> multiply(inverse(inverse(A)),inverse(multiply(inverse(B),A))) is composed into 
% [404]
% multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(B),
% multiply(inverse(V_3),V_3))))
% -> B
% Rule [382]
% multiply(inverse(inverse(inverse(multiply(C,B)))),C) <->
% multiply(inverse(inverse(A)),inverse(multiply(inverse(inverse(B)),A))) is composed into 
% [382] multiply(inverse(inverse(inverse(multiply(C,B)))),C) -> inverse(B)
% Rule [351]
% multiply(inverse(multiply(C,A)),V_4) <->
% multiply(inverse(A),multiply(multiply(multiply(inverse(B),B),multiply(
% inverse(
% inverse(V_3)),
% multiply(
% inverse(
% inverse(c3)),
% inverse(
% multiply(
% inverse(
% inverse(
% multiply(C,V_3))),c3))))),V_4)) is composed into 
% [351]
% multiply(inverse(multiply(C,A)),V_4) <->
% multiply(inverse(A),multiply(multiply(multiply(inverse(B),B),multiply(
% inverse(
% inverse(V_3)),
% inverse(
% multiply(C,V_3)))),V_4))
% Rule [347]
% multiply(inverse(inverse(multiply(inverse(multiply(A,B)),C))),inverse(
% multiply(
% inverse(
% multiply(A,V_3)),C)))
% <->
% multiply(inverse(inverse(V_4)),inverse(multiply(inverse(multiply(
% inverse(B),V_3)),V_4))) is composed into 
% [347]
% multiply(inverse(inverse(multiply(inverse(multiply(A,B)),C))),inverse(
% multiply(
% inverse(
% multiply(A,V_3)),C)))
% -> multiply(inverse(B),V_3)
% Rule [251]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(
% inverse(B),C)))
% <->
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(multiply(
% inverse(C),B)),V_3))) is composed into 
% [251]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(B),C)))
% <-> multiply(inverse(C),B)
% Rule [245]
% multiply(inverse(inverse(multiply(A,B))),inverse(multiply(inverse(C),B)))
% <->
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(multiply(A,C)),V_3))) is composed into 
% [245]
% multiply(inverse(inverse(multiply(A,B))),inverse(multiply(inverse(C),B))) ->
% multiply(A,C)
% New rule produced :
% [442] multiply(inverse(inverse(B)),inverse(multiply(inverse(A),B))) -> A
% Rule
% [244]
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(multiply(A,C)),V_3)))
% <-> multiply(inverse(inverse(multiply(A,B))),inverse(multiply(inverse(C),B)))
% collapsed.
% Rule
% [250]
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(multiply(inverse(C),B)),V_3)))
% <->
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(B),C)))
% collapsed.
% Rule
% [285]
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(inverse(multiply(B,A))),V_3)))
% <->
% multiply(inverse(inverse(inverse(A))),multiply(inverse(inverse(C)),multiply(
% inverse(
% inverse(c3)),
% inverse(
% multiply(
% inverse(
% inverse(
% multiply(B,C))),c3)))))
% collapsed.
% Rule
% [287]
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(inverse(C)),V_3)))
% <-> multiply(inverse(inverse(c3)),inverse(multiply(inverse(inverse(C)),c3)))
% collapsed.
% Rule
% [320]
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(inverse(B)),V_3)))
% <-> multiply(inverse(inverse(c3)),inverse(multiply(inverse(inverse(B)),c3)))
% collapsed.
% Rule
% [346]
% multiply(inverse(inverse(V_4)),inverse(multiply(inverse(multiply(inverse(B),V_3)),V_4)))
% <->
% multiply(inverse(inverse(multiply(inverse(multiply(A,B)),C))),inverse(
% multiply(
% inverse(
% multiply(A,V_3)),C)))
% collapsed.
% Rule
% [384]
% multiply(inverse(inverse(C)),inverse(multiply(inverse(multiply(inverse(A),B)),C)))
% -> multiply(inverse(A),B) collapsed.
% Rule
% [403]
% multiply(inverse(inverse(A)),inverse(multiply(inverse(B),A))) <->
% multiply(inverse(inverse(c3)),inverse(multiply(inverse(B),c3))) collapsed.
% Current number of equations to process: 3041
% Current number of ordered equations: 0
% Current number of rules: 154
% Rule [439]
% multiply(inverse(A),inverse(inverse(multiply(inverse(B),B)))) <->
% multiply(multiply(inverse(c3),c3),inverse(A)) is composed into [439]
% multiply(
% inverse(A),
% inverse(
% inverse(
% multiply(
% inverse(B),B))))
% ->
% inverse(A)
% Rule [435]
% multiply(inverse(B),multiply(inverse(inverse(C)),multiply(inverse(V_3),V_3)))
% <-> multiply(multiply(multiply(inverse(A),A),inverse(B)),C) is composed into 
% [435]
% multiply(inverse(B),multiply(inverse(inverse(C)),multiply(inverse(V_3),V_3)))
% -> multiply(inverse(B),C)
% Rule [420]
% multiply(inverse(A),B) <->
% inverse(multiply(multiply(multiply(inverse(C),C),inverse(B)),A)) is composed into 
% [420] multiply(inverse(A),B) <-> inverse(multiply(inverse(B),A))
% Rule [368]
% multiply(inverse(inverse(multiply(inverse(B),C))),inverse(multiply(A,C)))
% <-> multiply(multiply(inverse(c3),c3),inverse(multiply(A,B))) is composed into 
% [368]
% multiply(inverse(inverse(multiply(inverse(B),C))),inverse(multiply(A,C))) <->
% inverse(multiply(A,B))
% Rule [356]
% multiply(inverse(multiply(inverse(c3),multiply(inverse(V_3),V_3))),
% multiply(inverse(multiply(inverse(inverse(C)),c3)),B)) <->
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(B)),C)) is composed into 
% [356]
% multiply(inverse(multiply(inverse(c3),multiply(inverse(V_3),V_3))),multiply(
% inverse(
% multiply(
% inverse(
% inverse(C)),c3)),B))
% <-> inverse(multiply(inverse(B),C))
% Rule [354]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(
% inverse(
% inverse(C)),A)),V_3))
% <->
% multiply(inverse(B),inverse(multiply(multiply(multiply(inverse(V_4),V_4),
% inverse(V_3)),C))) is composed into 
% [354]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(inverse(
% inverse(C)),A)),V_3))
% <-> multiply(inverse(B),inverse(multiply(inverse(V_3),C)))
% Rule [349]
% multiply(inverse(inverse(multiply(inverse(multiply(A,B)),C))),inverse(
% multiply(
% inverse(
% multiply(A,V_3)),C)))
% <-> multiply(multiply(inverse(c3),c3),inverse(multiply(inverse(V_3),B))) is composed into 
% [349]
% multiply(inverse(inverse(multiply(inverse(multiply(A,B)),C))),inverse(
% multiply(
% inverse(
% multiply(A,V_3)),C)))
% <-> inverse(multiply(inverse(V_3),B))
% Rule [312]
% multiply(inverse(multiply(A,B)),multiply(inverse(C),V_3)) <->
% multiply(inverse(B),multiply(multiply(multiply(inverse(V_4),V_4),
% inverse(multiply(inverse(inverse(C)),A))),V_3)) is composed into 
% [312]
% multiply(inverse(multiply(A,B)),multiply(inverse(C),V_3)) <->
% multiply(inverse(B),multiply(inverse(multiply(inverse(inverse(C)),A)),V_3))
% Rule [307]
% inverse(multiply(inverse(V_3),C)) <->
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(inverse(
% multiply(
% inverse(B),B))),
% inverse(multiply(inverse(C),V_3))))) is composed into 
% [307]
% inverse(multiply(inverse(V_3),C)) <->
% inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(multiply(
% inverse(C),V_3))))
% Rule [291]
% multiply(inverse(multiply(inverse(multiply(B,c3)),A)),multiply(inverse(
% multiply(
% inverse(
% inverse(V_4)),c3)),V_3))
% <->
% multiply(inverse(A),multiply(B,inverse(multiply(multiply(multiply(
% inverse(C),C),
% inverse(V_3)),V_4)))) is composed into 
% [291]
% multiply(inverse(multiply(inverse(multiply(B,c3)),A)),multiply(inverse(
% multiply(
% inverse(
% inverse(V_4)),c3)),V_3))
% <-> multiply(inverse(A),multiply(B,inverse(multiply(inverse(V_3),V_4))))
% Rule [228]
% multiply(inverse(multiply(inverse(inverse(A)),B)),C) <->
% multiply(inverse(B),inverse(multiply(multiply(multiply(inverse(V_3),V_3),
% inverse(C)),A))) is composed into 
% [228]
% multiply(inverse(multiply(inverse(inverse(A)),B)),C) <->
% multiply(inverse(B),inverse(multiply(inverse(C),A)))
% New rule produced :
% [443] multiply(multiply(inverse(A),A),inverse(B)) -> inverse(B)
% Rule
% [215]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(inverse(C)),
% inverse(multiply(V_3,C))))) -> V_3
% collapsed.
% Rule
% [226]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(B),B))),C)
% -> C collapsed.
% Rule
% [229]
% multiply(inverse(B),inverse(multiply(multiply(multiply(inverse(V_3),V_3),
% inverse(C)),A))) <->
% multiply(inverse(multiply(inverse(inverse(A)),B)),C) collapsed.
% Rule
% [257]
% multiply(inverse(inverse(multiply(multiply(multiply(inverse(V_3),V_3),
% inverse(A)),B))),C) ->
% multiply(inverse(A),multiply(inverse(inverse(B)),C)) collapsed.
% Rule
% [262]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(c3),c3))) <->
% inverse(multiply(inverse(B),B)) collapsed.
% Rule
% [265]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(inverse(multiply(B,C))),
% inverse(multiply(inverse(V_3),C)))))
% -> inverse(multiply(B,V_3)) collapsed.
% Rule
% [289]
% multiply(inverse(inverse(A)),inverse(inverse(multiply(multiply(multiply(
% inverse(B),B),
% inverse(A)),C)))) ->
% multiply(inverse(c3),inverse(inverse(multiply(c3,C)))) collapsed.
% Rule
% [290]
% multiply(inverse(A),multiply(B,inverse(multiply(multiply(multiply(inverse(C),C),
% inverse(V_3)),V_4)))) <->
% multiply(inverse(multiply(inverse(multiply(B,c3)),A)),multiply(inverse(
% multiply(
% inverse(
% inverse(V_4)),c3)),V_3))
% collapsed.
% Rule
% [304]
% multiply(A,multiply(multiply(multiply(inverse(B),B),inverse(multiply(
% inverse(C),A))),V_3))
% -> multiply(C,V_3) collapsed.
% Rule
% [308]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(inverse(multiply(
% inverse(B),B))),
% inverse(multiply(inverse(C),V_3)))))
% <-> inverse(multiply(inverse(V_3),C)) collapsed.
% Rule
% [311]
% multiply(inverse(B),multiply(multiply(multiply(inverse(V_4),V_4),inverse(
% multiply(
% inverse(
% inverse(C)),A))),V_3))
% <-> multiply(inverse(multiply(A,B)),multiply(inverse(C),V_3)) collapsed.
% Rule
% [313]
% multiply(inverse(multiply(multiply(multiply(inverse(V_4),V_4),inverse(
% multiply(
% inverse(
% inverse(A)),C))),B)),V_3)
% -> multiply(inverse(multiply(inverse(A),B)),multiply(C,V_3)) collapsed.
% Rule
% [341]
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(B),C))),V_3))
% <->
% multiply(multiply(multiply(inverse(V_4),V_4),inverse(multiply(inverse(
% inverse(B)),
% inverse(inverse(V_3))))),C)
% collapsed.
% Rule
% [342]
% multiply(multiply(multiply(inverse(V_4),V_4),inverse(multiply(inverse(
% inverse(B)),
% inverse(inverse(V_3))))),C)
% <->
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(B),C))),V_3))
% collapsed.
% Rule
% [353]
% multiply(inverse(B),inverse(multiply(multiply(multiply(inverse(V_4),V_4),
% inverse(V_3)),C))) <->
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(inverse(
% inverse(C)),A)),V_3))
% collapsed.
% Rule
% [355]
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(B)),C)) <->
% multiply(inverse(multiply(inverse(c3),multiply(inverse(V_3),V_3))),multiply(
% inverse(
% multiply(
% inverse(
% inverse(C)),c3)),B))
% collapsed.
% Rule
% [373]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(B),inverse(multiply(
% inverse(C),C)))))
% -> B collapsed.
% Rule
% [411]
% multiply(multiply(inverse(c3),c3),inverse(multiply(B,multiply(inverse(C),C))))
% <-> multiply(inverse(inverse(A)),inverse(multiply(B,A))) collapsed.
% Rule
% [418]
% inverse(multiply(multiply(multiply(inverse(C),C),inverse(B)),A)) <->
% multiply(inverse(A),B) collapsed.
% Rule
% [430]
% multiply(multiply(inverse(c3),c3),inverse(inverse(C))) <->
% multiply(inverse(B),inverse(inverse(multiply(B,C)))) collapsed.
% Rule
% [436]
% multiply(multiply(multiply(inverse(A),A),inverse(B)),C) <->
% multiply(inverse(B),multiply(inverse(inverse(C)),multiply(inverse(V_3),V_3)))
% collapsed.
% Rule
% [440]
% multiply(multiply(inverse(c3),c3),inverse(A)) <->
% multiply(inverse(A),inverse(inverse(multiply(inverse(B),B)))) collapsed.
% Current number of equations to process: 3055
% Current number of ordered equations: 0
% Current number of rules: 133
% Rule [422]
% multiply(multiply(inverse(c3),c3),multiply(inverse(C),C)) <->
% multiply(inverse(inverse(A)),inverse(inverse(multiply(inverse(inverse(B)),
% inverse(multiply(A,B)))))) is composed into 
% [422]
% multiply(multiply(inverse(c3),c3),multiply(inverse(C),C)) <->
% multiply(inverse(inverse(A)),inverse(A))
% New rule produced :
% [444] inverse(multiply(inverse(inverse(C)),inverse(multiply(V_3,C)))) -> V_3
% Rule
% [264]
% multiply(inverse(inverse(multiply(inverse(inverse(V_3)),inverse(multiply(A,V_3))))),C)
% -> multiply(inverse(A),C) collapsed.
% Rule
% [276]
% multiply(inverse(inverse(inverse(multiply(inverse(inverse(A)),inverse(
% multiply(B,A)))))),
% inverse(B)) <->
% multiply(inverse(inverse(C)),inverse(multiply(multiply(inverse(V_3),V_3),C)))
% collapsed.
% Rule
% [277]
% multiply(inverse(inverse(A)),inverse(inverse(multiply(inverse(inverse(B)),
% inverse(multiply(A,B)))))) <->
% multiply(inverse(inverse(c3)),inverse(inverse(multiply(inverse(inverse(c3)),
% inverse(multiply(c3,c3))))))
% collapsed.
% Rule
% [302]
% multiply(inverse(inverse(A)),inverse(inverse(multiply(inverse(inverse(B)),
% inverse(multiply(A,B)))))) <->
% multiply(inverse(inverse(c3)),inverse(inverse(multiply(inverse(inverse(c3)),
% inverse(multiply(c3,c3))))))
% collapsed.
% Rule
% [407]
% multiply(inverse(A),inverse(multiply(inverse(inverse(B)),inverse(multiply(C,B)))))
% -> multiply(inverse(A),C) collapsed.
% Rule
% [421]
% multiply(inverse(inverse(A)),inverse(inverse(multiply(inverse(inverse(B)),
% inverse(multiply(A,B)))))) <->
% multiply(inverse(inverse(c3)),inverse(inverse(multiply(inverse(inverse(c3)),
% inverse(multiply(c3,c3))))))
% collapsed.
% Current number of equations to process: 3053
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [445]
% multiply(inverse(B),inverse(inverse(multiply(B,C)))) -> inverse(inverse(C))
% Rule
% [429]
% multiply(inverse(B),inverse(inverse(multiply(B,C)))) <->
% multiply(inverse(c3),inverse(inverse(multiply(c3,C)))) collapsed.
% Current number of equations to process: 3052
% Current number of ordered equations: 0
% Current number of rules: 128
% Rule [390]
% multiply(inverse(inverse(multiply(A,C))),V_3) <->
% multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))),
% multiply(inverse(inverse(C)),V_3)) is composed into [390]
% multiply(inverse(
% inverse(
% multiply(A,C))),V_3)
% ->
% multiply(A,multiply(
% inverse(
% inverse(C)),V_3))
% New rule produced :
% [446] inverse(multiply(inverse(B),inverse(multiply(inverse(C),C)))) -> B
% Rule
% [381]
% multiply(inverse(A),inverse(multiply(inverse(B),inverse(multiply(inverse(V_3),V_3)))))
% -> multiply(inverse(A),B) collapsed.
% Rule
% [392]
% multiply(inverse(multiply(inverse(A),inverse(multiply(inverse(B),B)))),
% multiply(inverse(inverse(C)),V_3)) <->
% multiply(inverse(inverse(multiply(A,C))),V_3) collapsed.
% Current number of equations to process: 3051
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [447]
% multiply(A,multiply(inverse(multiply(inverse(C),A)),V_3)) -> multiply(C,V_3)
% Rule
% [413]
% multiply(multiply(inverse(c3),c3),multiply(inverse(multiply(inverse(A),
% multiply(inverse(c3),c3))),B))
% -> multiply(A,B) collapsed.
% Current number of equations to process: 3050
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [448]
% inverse(multiply(B,multiply(inverse(C),C))) <->
% multiply(inverse(inverse(A)),inverse(multiply(B,A)))
% Current number of equations to process: 3049
% Current number of ordered equations: 1
% Current number of rules: 128
% New rule produced :
% [449]
% multiply(inverse(inverse(A)),inverse(multiply(B,A))) <->
% inverse(multiply(B,multiply(inverse(C),C)))
% Current number of equations to process: 3049
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [450]
% inverse(multiply(inverse(multiply(inverse(B),C)),V_3)) <->
% multiply(inverse(inverse(inverse(V_3))),multiply(inverse(inverse(inverse(B))),C))
% Current number of equations to process: 3045
% Current number of ordered equations: 1
% Current number of rules: 130
% New rule produced :
% [451]
% multiply(inverse(inverse(inverse(V_3))),multiply(inverse(inverse(inverse(B))),C))
% <-> inverse(multiply(inverse(multiply(inverse(B),C)),V_3))
% Current number of equations to process: 3045
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [452]
% inverse(multiply(B,A)) <->
% multiply(inverse(inverse(inverse(A))),multiply(inverse(inverse(C)),inverse(
% multiply(B,C))))
% Current number of equations to process: 3044
% Current number of ordered equations: 1
% Current number of rules: 132
% New rule produced :
% [453]
% multiply(inverse(inverse(inverse(A))),multiply(inverse(inverse(C)),inverse(
% multiply(B,C))))
% <-> inverse(multiply(B,A))
% Current number of equations to process: 3044
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [454]
% multiply(inverse(A),inverse(multiply(inverse(B),multiply(inverse(C),C)))) ->
% multiply(inverse(A),B)
% Rule
% [404]
% multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(B),
% multiply(inverse(V_3),V_3))))
% -> B collapsed.
% Current number of equations to process: 3044
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [455]
% multiply(inverse(B),multiply(inverse(multiply(inverse(C),inverse(A))),V_3))
% <-> multiply(inverse(multiply(inverse(A),B)),multiply(C,V_3))
% Current number of equations to process: 3042
% Current number of ordered equations: 1
% Current number of rules: 134
% New rule produced :
% [456]
% multiply(inverse(multiply(inverse(A),B)),multiply(C,V_3)) <->
% multiply(inverse(B),multiply(inverse(multiply(inverse(C),inverse(A))),V_3))
% Rule
% [216]
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(B),V_4))
% -> multiply(inverse(C),multiply(A,V_4)) collapsed.
% Rule
% [441]
% multiply(inverse(multiply(inverse(inverse(multiply(A,B))),C)),multiply(A,
% multiply(
% inverse(c3),c3)))
% -> multiply(inverse(C),inverse(B)) collapsed.
% Current number of equations to process: 3042
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [457] inverse(multiply(A,multiply(inverse(A),inverse(A)))) -> A
% Current number of equations to process: 3043
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [458]
% inverse(multiply(A,multiply(inverse(B),B))) <->
% multiply(inverse(A),inverse(multiply(inverse(C),C)))
% Current number of equations to process: 3042
% Current number of ordered equations: 1
% Current number of rules: 135
% Rule [246]
% multiply(inverse(inverse(C)),inverse(multiply(A,C))) <->
% multiply(inverse(A),inverse(multiply(inverse(B),B))) is composed into 
% [246]
% multiply(inverse(inverse(C)),inverse(multiply(A,C))) <->
% inverse(multiply(A,multiply(inverse(B),B)))
% New rule produced :
% [459]
% multiply(inverse(A),inverse(multiply(inverse(C),C))) <->
% inverse(multiply(A,multiply(inverse(B),B)))
% Rule
% [247]
% multiply(inverse(A),inverse(multiply(inverse(B),B))) <->
% multiply(inverse(inverse(C)),inverse(multiply(A,C))) collapsed.
% Rule
% [415]
% multiply(inverse(A),inverse(multiply(inverse(c3),c3))) <->
% multiply(inverse(A),multiply(inverse(B),B)) collapsed.
% Current number of equations to process: 3043
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [460]
% inverse(multiply(A,multiply(inverse(c3),c3))) <->
% multiply(inverse(A),multiply(inverse(B),B))
% Current number of equations to process: 3042
% Current number of ordered equations: 1
% Current number of rules: 135
% Rule [433]
% multiply(inverse(multiply(B,multiply(inverse(V_3),V_3))),C) <->
% multiply(inverse(multiply(inverse(A),multiply(inverse(c3),c3))),
% multiply(inverse(multiply(B,A)),C)) is composed into [433]
% multiply(inverse(
% multiply(B,
% multiply(
% inverse(V_3),V_3))),C)
% <->
% multiply(inverse(
% inverse(
% multiply(A,
% multiply(
% inverse(c3),c3)))),
% multiply(inverse(
% multiply(B,A)),C))
% Rule [432]
% multiply(inverse(A),inverse(inverse(multiply(inverse(B),B)))) <->
% multiply(inverse(A),multiply(inverse(c3),c3)) is composed into [432]
% multiply(
% inverse(A),
% inverse(
% inverse(
% multiply(
% inverse(B),B))))
% <->
% inverse(
% multiply(A,
% multiply(
% inverse(c3),c3)))
% Rule [414]
% multiply(inverse(A),multiply(inverse(B),B)) <->
% multiply(inverse(A),multiply(inverse(c3),c3)) is composed into [414]
% multiply(
% inverse(A),
% multiply(
% inverse(B),B))
% <->
% inverse(
% multiply(A,
% multiply(
% inverse(c3),c3)))
% Rule [387]
% multiply(inverse(B),inverse(multiply(inverse(V_3),V_3))) <->
% multiply(inverse(B),multiply(inverse(c3),c3)) is composed into [387]
% multiply(
% inverse(B),
% inverse(
% multiply(
% inverse(V_3),V_3)))
% <->
% inverse(
% multiply(B,
% multiply(
% inverse(c3),c3)))
% Rule [376]
% multiply(inverse(C),inverse(multiply(inverse(V_3),V_3))) <->
% multiply(inverse(C),multiply(inverse(c3),c3)) is composed into [376]
% multiply(
% inverse(C),
% inverse(
% multiply(
% inverse(V_3),V_3)))
% <->
% inverse(
% multiply(C,
% multiply(
% inverse(c3),c3)))
% Rule [344]
% multiply(inverse(multiply(A,B)),C) <->
% multiply(inverse(B),multiply(inverse(multiply(inverse(c3),multiply(
% inverse(V_3),V_3))),
% multiply(inverse(multiply(inverse(inverse(V_4)),c3)),
% multiply(inverse(multiply(A,inverse(V_4))),C)))) is composed into 
% [344]
% multiply(inverse(multiply(A,B)),C) <->
% multiply(inverse(B),multiply(inverse(inverse(multiply(c3,multiply(inverse(c3),c3)))),
% multiply(inverse(multiply(inverse(inverse(V_4)),c3)),
% multiply(inverse(multiply(A,inverse(V_4))),C))))
% Rule [254]
% multiply(inverse(A),multiply(inverse(B),B)) <->
% multiply(inverse(A),multiply(inverse(c3),c3)) is composed into [254]
% multiply(
% inverse(A),
% multiply(
% inverse(B),B))
% <->
% inverse(
% multiply(A,
% multiply(
% inverse(c3),c3)))
% New rule produced :
% [461]
% multiply(inverse(A),multiply(inverse(B),B)) <->
% inverse(multiply(A,multiply(inverse(c3),c3)))
% Rule
% [356]
% multiply(inverse(multiply(inverse(c3),multiply(inverse(V_3),V_3))),multiply(
% inverse(
% multiply(
% inverse(
% inverse(C)),c3)),B))
% <-> inverse(multiply(inverse(B),C)) collapsed.
% Rule
% [412]
% multiply(inverse(multiply(B,A)),multiply(inverse(C),C)) ->
% multiply(inverse(A),multiply(inverse(B),multiply(inverse(c3),c3))) collapsed.
% Rule [416] multiply(inverse(inverse(A)),multiply(inverse(c3),c3)) -> A
% collapsed.
% Rule
% [431]
% multiply(inverse(A),multiply(inverse(c3),c3)) <->
% multiply(inverse(A),inverse(inverse(multiply(inverse(B),B)))) collapsed.
% Rule
% [434]
% multiply(inverse(multiply(inverse(A),multiply(inverse(c3),c3))),multiply(
% inverse(
% multiply(B,A)),C))
% <-> multiply(inverse(multiply(B,multiply(inverse(V_3),V_3))),C) collapsed.
% Rule
% [435]
% multiply(inverse(B),multiply(inverse(inverse(C)),multiply(inverse(V_3),V_3)))
% -> multiply(inverse(B),C) collapsed.
% Rule [437] multiply(inverse(inverse(V_3)),multiply(inverse(V_3),V_3)) -> V_3
% collapsed.
% Current number of equations to process: 3049
% Current number of ordered equations: 0
% Current number of rules: 129
% Rule [433]
% multiply(inverse(multiply(B,multiply(inverse(V_3),V_3))),C) <->
% multiply(inverse(inverse(multiply(A,multiply(inverse(c3),c3)))),
% multiply(inverse(multiply(B,A)),C)) is composed into [433]
% multiply(inverse(
% multiply(B,
% multiply(
% inverse(V_3),V_3))),C)
% <->
% multiply(A,
% multiply(inverse(
% multiply(B,A)),C))
% Rule [344]
% multiply(inverse(multiply(A,B)),C) <->
% multiply(inverse(B),multiply(inverse(inverse(multiply(c3,multiply(
% inverse(c3),c3)))),
% multiply(inverse(multiply(inverse(inverse(V_4)),c3)),
% multiply(inverse(multiply(A,inverse(V_4))),C)))) is composed into 
% [344]
% multiply(inverse(multiply(A,B)),C) <->
% multiply(inverse(B),multiply(c3,multiply(inverse(multiply(inverse(inverse(V_4)),c3)),
% multiply(inverse(multiply(A,inverse(V_4))),C))))
% New rule produced :
% [462] inverse(inverse(multiply(V_3,multiply(inverse(c3),c3)))) -> V_3
% Current number of equations to process: 3048
% Current number of ordered equations: 0
% Current number of rules: 130
% Rule [461]
% multiply(inverse(A),multiply(inverse(B),B)) <->
% inverse(multiply(A,multiply(inverse(c3),c3))) is composed into [461]
% multiply(
% inverse(A),
% multiply(
% inverse(B),B))
% ->
% inverse(A)
% Rule [432]
% multiply(inverse(A),inverse(inverse(multiply(inverse(B),B)))) <->
% inverse(multiply(A,multiply(inverse(c3),c3))) is composed into [432]
% multiply(
% inverse(A),
% inverse(
% inverse(
% multiply(
% inverse(B),B))))
% ->
% inverse(A)
% Rule [414]
% multiply(inverse(A),multiply(inverse(B),B)) <->
% inverse(multiply(A,multiply(inverse(c3),c3))) is composed into [414]
% multiply(
% inverse(A),
% multiply(
% inverse(B),B))
% ->
% inverse(A)
% Rule [387]
% multiply(inverse(B),inverse(multiply(inverse(V_3),V_3))) <->
% inverse(multiply(B,multiply(inverse(c3),c3))) is composed into [387]
% multiply(
% inverse(B),
% inverse(
% multiply(
% inverse(V_3),V_3)))
% ->
% inverse(B)
% Rule [376]
% multiply(inverse(C),inverse(multiply(inverse(V_3),V_3))) <->
% inverse(multiply(C,multiply(inverse(c3),c3))) is composed into [376]
% multiply(
% inverse(C),
% inverse(
% multiply(
% inverse(V_3),V_3)))
% ->
% inverse(C)
% Rule [254]
% multiply(inverse(A),multiply(inverse(B),B)) <->
% inverse(multiply(A,multiply(inverse(c3),c3))) is composed into [254]
% multiply(
% inverse(A),
% multiply(
% inverse(B),B))
% ->
% inverse(A)
% New rule produced :
% [463] inverse(multiply(A,multiply(inverse(c3),c3))) -> inverse(A)
% Rule
% [460]
% inverse(multiply(A,multiply(inverse(c3),c3))) <->
% multiply(inverse(A),multiply(inverse(B),B)) collapsed.
% Rule [462] inverse(inverse(multiply(V_3,multiply(inverse(c3),c3)))) -> V_3
% collapsed.
% Current number of equations to process: 3047
% Current number of ordered equations: 0
% Current number of rules: 129
% Rule [452]
% inverse(multiply(B,A)) <->
% multiply(inverse(inverse(inverse(A))),multiply(inverse(inverse(C)),
% inverse(multiply(B,C)))) is composed into 
% [452]
% inverse(multiply(B,A)) <->
% multiply(inverse(A),multiply(C,inverse(multiply(B,C))))
% Rule [450]
% inverse(multiply(inverse(multiply(inverse(B),C)),V_3)) <->
% multiply(inverse(inverse(inverse(V_3))),multiply(inverse(inverse(
% inverse(B))),C)) is composed into 
% [450]
% inverse(multiply(inverse(multiply(inverse(B),C)),V_3)) <->
% multiply(inverse(V_3),multiply(inverse(B),C))
% Rule [448]
% inverse(multiply(B,multiply(inverse(C),C))) <->
% multiply(inverse(inverse(A)),inverse(multiply(B,A))) is composed into 
% [448]
% inverse(multiply(B,multiply(inverse(C),C))) <->
% multiply(A,inverse(multiply(B,A)))
% Rule [423]
% inverse(multiply(C,A)) <->
% multiply(inverse(A),multiply(inverse(inverse(B)),inverse(multiply(C,B)))) is composed into 
% [423]
% inverse(multiply(C,A)) <->
% multiply(inverse(A),multiply(B,inverse(multiply(C,B))))
% Rule [422]
% multiply(multiply(inverse(c3),c3),multiply(inverse(C),C)) <->
% multiply(inverse(inverse(A)),inverse(A)) is composed into [422]
% multiply(
% multiply(
% inverse(c3),c3),
% multiply(
% inverse(C),C))
% <->
% multiply(A,
% inverse(A))
% Rule [405]
% multiply(inverse(A),inverse(multiply(inverse(V_3),C))) <->
% multiply(inverse(A),inverse(multiply(inverse(inverse(multiply(inverse(B),B))),
% inverse(multiply(inverse(C),V_3))))) is composed into 
% [405]
% multiply(inverse(A),inverse(multiply(inverse(V_3),C))) <->
% multiply(inverse(A),inverse(multiply(multiply(inverse(B),B),inverse(multiply(
% inverse(C),V_3)))))
% Rule [391]
% multiply(inverse(B),inverse(multiply(C,A))) <->
% multiply(inverse(multiply(inverse(inverse(A)),B)),multiply(inverse(C),
% inverse(multiply(
% inverse(V_3),V_3)))) is composed into 
% [391]
% multiply(inverse(B),inverse(multiply(C,A))) <->
% multiply(inverse(multiply(A,B)),multiply(inverse(C),inverse(multiply(
% inverse(V_3),V_3))))
% Rule [369]
% multiply(inverse(A),inverse(multiply(inverse(B),C))) <->
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(multiply(
% inverse(C),B)),
% multiply(A,V_3)))) is composed into 
% [369]
% multiply(inverse(A),inverse(multiply(inverse(B),C))) <->
% multiply(V_3,inverse(multiply(inverse(multiply(inverse(C),B)),multiply(A,V_3))))
% Rule [351]
% multiply(inverse(multiply(C,A)),V_4) <->
% multiply(inverse(A),multiply(multiply(multiply(inverse(B),B),multiply(
% inverse(
% inverse(V_3)),
% inverse(
% multiply(C,V_3)))),V_4)) is composed into 
% [351]
% multiply(inverse(multiply(C,A)),V_4) <->
% multiply(inverse(A),multiply(multiply(multiply(inverse(B),B),multiply(V_3,
% inverse(
% multiply(C,V_3)))),V_4))
% Rule [344]
% multiply(inverse(multiply(A,B)),C) <->
% multiply(inverse(B),multiply(c3,multiply(inverse(multiply(inverse(
% inverse(V_4)),c3)),
% multiply(inverse(multiply(A,inverse(V_4))),C)))) is composed into 
% [344]
% multiply(inverse(multiply(A,B)),C) <->
% multiply(inverse(B),multiply(c3,multiply(inverse(multiply(V_4,c3)),multiply(
% inverse(
% multiply(A,
% inverse(V_4))),C))))
% Rule [339]
% multiply(inverse(C),multiply(A,inverse(multiply(V_4,B)))) <->
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(
% inverse(
% inverse(B)),B)),
% multiply(inverse(
% inverse(V_3)),
% inverse(multiply(V_4,V_3))))) is composed into 
% [339]
% multiply(inverse(C),multiply(A,inverse(multiply(V_4,B)))) <->
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(B,B)),
% multiply(V_3,inverse(
% multiply(V_4,V_3)))))
% Rule [312]
% multiply(inverse(multiply(A,B)),multiply(inverse(C),V_3)) <->
% multiply(inverse(B),multiply(inverse(multiply(inverse(inverse(C)),A)),V_3)) is composed into 
% [312]
% multiply(inverse(multiply(A,B)),multiply(inverse(C),V_3)) <->
% multiply(inverse(B),multiply(inverse(multiply(C,A)),V_3))
% Rule [307]
% inverse(multiply(inverse(V_3),C)) <->
% inverse(multiply(inverse(inverse(multiply(inverse(B),B))),inverse(
% multiply(
% inverse(C),V_3)))) is composed into 
% [307]
% inverse(multiply(inverse(V_3),C)) <->
% inverse(multiply(multiply(inverse(B),B),inverse(multiply(inverse(C),V_3))))
% Rule [253]
% multiply(inverse(B),inverse(multiply(V_3,A))) <->
% multiply(inverse(multiply(inverse(inverse(A)),B)),multiply(inverse(
% inverse(C)),
% inverse(multiply(V_3,C)))) is composed into 
% [253]
% multiply(inverse(B),inverse(multiply(V_3,A))) <->
% multiply(inverse(multiply(A,B)),multiply(C,inverse(multiply(V_3,C))))
% Rule [237]
% multiply(inverse(A),multiply(inverse(multiply(B,C)),V_3)) <->
% multiply(inverse(A),multiply(inverse(multiply(inverse(inverse(V_4)),C)),
% multiply(inverse(multiply(B,inverse(V_4))),V_3))) is composed into 
% [237]
% multiply(inverse(A),multiply(inverse(multiply(B,C)),V_3)) <->
% multiply(inverse(A),multiply(inverse(multiply(V_4,C)),multiply(inverse(
% multiply(B,
% inverse(V_4))),V_3)))
% Rule [203]
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(V_3,B)),V_4))
% <->
% multiply(inverse(multiply(inverse(multiply(A,c3)),C)),multiply(inverse(
% multiply(
% inverse(
% inverse(V_5)),c3)),
% multiply(inverse(
% multiply(V_3,
% inverse(V_5))),V_4))) is composed into 
% [203]
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(V_3,B)),V_4))
% <->
% multiply(inverse(multiply(inverse(multiply(A,c3)),C)),multiply(inverse(
% multiply(V_5,c3)),
% multiply(inverse(
% multiply(V_3,
% inverse(V_5))),V_4)))
% New rule produced : [464] inverse(inverse(V_3)) -> V_3
% Rule
% [206]
% multiply(inverse(inverse(V_4)),inverse(multiply(C,V_4))) <->
% multiply(inverse(inverse(B)),inverse(multiply(C,B))) collapsed.
% Rule
% [228]
% multiply(inverse(multiply(inverse(inverse(A)),B)),C) <->
% multiply(inverse(B),inverse(multiply(inverse(C),A))) collapsed.
% Rule
% [245]
% multiply(inverse(inverse(multiply(A,B))),inverse(multiply(inverse(C),B))) ->
% multiply(A,C) collapsed.
% Rule
% [246]
% multiply(inverse(inverse(C)),inverse(multiply(A,C))) <->
% inverse(multiply(A,multiply(inverse(B),B))) collapsed.
% Rule
% [249]
% multiply(inverse(inverse(multiply(inverse(A),B))),inverse(multiply(C,B))) <->
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(C,A)))
% collapsed.
% Rule
% [251]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(B),C)))
% <-> multiply(inverse(C),B) collapsed.
% Rule
% [252]
% multiply(inverse(multiply(inverse(inverse(A)),B)),multiply(inverse(inverse(C)),
% inverse(multiply(V_3,C))))
% <-> multiply(inverse(B),inverse(multiply(V_3,A))) collapsed.
% Rule
% [275]
% multiply(inverse(inverse(C)),inverse(multiply(multiply(inverse(V_3),V_3),C)))
% -> inverse(multiply(inverse(c3),c3)) collapsed.
% Rule
% [291]
% multiply(inverse(multiply(inverse(multiply(B,c3)),A)),multiply(inverse(
% multiply(
% inverse(
% inverse(V_4)),c3)),V_3))
% <-> multiply(inverse(A),multiply(B,inverse(multiply(inverse(V_3),V_4))))
% collapsed.
% Rule
% [324]
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(
% inverse(
% inverse(B)),B)),V_3))
% <->
% multiply(inverse(multiply(inverse(multiply(A,c3)),C)),multiply(inverse(
% multiply(
% inverse(
% inverse(B)),c3)),V_3))
% collapsed.
% Rule
% [325]
% multiply(inverse(multiply(inverse(multiply(A,c3)),C)),multiply(inverse(
% multiply(
% inverse(
% inverse(B)),c3)),V_3))
% <->
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(
% inverse(
% inverse(B)),B)),V_3))
% collapsed.
% Rule
% [328]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(
% multiply(B,V_3)),A)))
% <->
% multiply(inverse(inverse(multiply(inverse(A),multiply(B,C)))),inverse(
% multiply(
% inverse(V_3),C)))
% collapsed.
% Rule
% [329]
% multiply(inverse(inverse(multiply(inverse(A),multiply(B,C)))),inverse(
% multiply(
% inverse(V_3),C)))
% <->
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(
% multiply(B,V_3)),A)))
% collapsed.
% Rule
% [340]
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(
% inverse(
% inverse(B)),B)),
% multiply(inverse(
% inverse(V_3)),
% inverse(multiply(V_4,V_3)))))
% <-> multiply(inverse(C),multiply(A,inverse(multiply(V_4,B)))) collapsed.
% Rule
% [347]
% multiply(inverse(inverse(multiply(inverse(multiply(A,B)),C))),inverse(
% multiply(
% inverse(
% multiply(A,V_3)),C)))
% -> multiply(inverse(B),V_3) collapsed.
% Rule
% [349]
% multiply(inverse(inverse(multiply(inverse(multiply(A,B)),C))),inverse(
% multiply(
% inverse(
% multiply(A,V_3)),C)))
% <-> inverse(multiply(inverse(V_3),B)) collapsed.
% Rule
% [354]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(inverse(
% inverse(C)),A)),V_3))
% <-> multiply(inverse(B),inverse(multiply(inverse(V_3),C))) collapsed.
% Rule
% [359]
% multiply(inverse(inverse(multiply(inverse(A),A))),B) <->
% multiply(B,multiply(inverse(B),B)) collapsed.
% Rule
% [360]
% multiply(inverse(inverse(multiply(inverse(A),B))),inverse(multiply(C,B))) <->
% multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(C,A)))
% collapsed.
% Rule
% [362]
% multiply(inverse(inverse(A)),inverse(multiply(B,A))) <->
% multiply(inverse(inverse(c3)),inverse(multiply(B,c3))) collapsed.
% Rule
% [365]
% multiply(inverse(inverse(multiply(inverse(C),V_3))),inverse(multiply(
% inverse(B),V_3)))
% <->
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(B),C)))
% collapsed.
% Rule
% [366]
% multiply(inverse(inverse(multiply(A,B))),inverse(multiply(inverse(C),B))) <->
% multiply(inverse(inverse(multiply(A,V_3))),inverse(multiply(inverse(C),V_3)))
% collapsed.
% Rule
% [368]
% multiply(inverse(inverse(multiply(inverse(B),C))),inverse(multiply(A,C))) <->
% inverse(multiply(A,B)) collapsed.
% Rule
% [370]
% multiply(inverse(inverse(V_3)),inverse(multiply(inverse(multiply(inverse(C),B)),
% multiply(A,V_3)))) <->
% multiply(inverse(A),inverse(multiply(inverse(B),C))) collapsed.
% Rule
% [372]
% multiply(inverse(inverse(c3)),inverse(multiply(multiply(inverse(c3),c3),c3)))
% <-> inverse(multiply(inverse(A),A)) collapsed.
% Rule
% [377]
% multiply(inverse(inverse(A)),inverse(multiply(multiply(multiply(inverse(B),B),C),A)))
% <-> multiply(inverse(C),inverse(multiply(inverse(V_3),V_3))) collapsed.
% Rule [382] multiply(inverse(inverse(inverse(multiply(C,B)))),C) -> inverse(B)
% collapsed.
% Rule
% [386]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(B,C))) <->
% multiply(inverse(inverse(multiply(inverse(C),V_3))),inverse(multiply(B,V_3)))
% collapsed.
% Rule
% [389]
% multiply(inverse(multiply(inverse(inverse(A)),B)),multiply(inverse(C),
% inverse(multiply(inverse(V_3),V_3))))
% <-> multiply(inverse(B),inverse(multiply(C,A))) collapsed.
% Rule
% [390]
% multiply(inverse(inverse(multiply(A,C))),V_3) ->
% multiply(A,multiply(inverse(inverse(C)),V_3)) collapsed.
% Rule
% [395]
% multiply(inverse(inverse(multiply(A,B))),inverse(multiply(inverse(multiply(B,V_3)),B)))
% <->
% multiply(inverse(inverse(multiply(A,multiply(B,C)))),inverse(multiply(
% inverse(V_3),C)))
% collapsed.
% Rule
% [396]
% multiply(inverse(inverse(multiply(A,multiply(B,C)))),inverse(multiply(
% inverse(V_3),C)))
% <->
% multiply(inverse(inverse(multiply(A,B))),inverse(multiply(inverse(multiply(B,V_3)),B)))
% collapsed.
% Rule
% [398]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(inverse(C)),
% inverse(multiply(multiply(inverse(B),A),C))))
% <-> inverse(multiply(inverse(V_3),V_3)) collapsed.
% Rule
% [399]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(
% inverse(C)),A)))
% <-> multiply(inverse(inverse(multiply(inverse(A),inverse(multiply(B,C))))),B)
% collapsed.
% Rule
% [400]
% multiply(inverse(inverse(multiply(inverse(A),inverse(multiply(B,C))))),B) <->
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(inverse(
% inverse(C)),A)))
% collapsed.
% Rule
% [401]
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(C,
% multiply(V_3,A))))
% <->
% multiply(inverse(inverse(multiply(inverse(A),B))),inverse(multiply(C,
% multiply(V_3,B))))
% collapsed.
% Rule
% [402]
% multiply(inverse(inverse(multiply(inverse(A),B))),inverse(multiply(C,
% multiply(V_3,B))))
% <->
% multiply(inverse(inverse(multiply(inverse(A),A))),inverse(multiply(C,
% multiply(V_3,A))))
% collapsed.
% Rule
% [406]
% multiply(inverse(A),inverse(multiply(inverse(inverse(multiply(inverse(B),B))),
% inverse(multiply(inverse(C),V_3))))) <->
% multiply(inverse(A),inverse(multiply(inverse(V_3),C))) collapsed.
% Rule
% [408]
% multiply(inverse(A),inverse(multiply(inverse(inverse(multiply(B,C))),
% inverse(multiply(inverse(V_3),C))))) ->
% multiply(inverse(A),inverse(multiply(B,V_3))) collapsed.
% Rule
% [409] inverse(inverse(multiply(inverse(c3),c3))) <-> multiply(inverse(A),A)
% collapsed.
% Rule
% [410]
% multiply(inverse(inverse(A)),inverse(multiply(B,A))) <->
% multiply(inverse(inverse(c3)),inverse(multiply(B,c3))) collapsed.
% Rule [419] multiply(inverse(C),multiply(inverse(inverse(C)),V_3)) -> V_3
% collapsed.
% Rule
% [424]
% multiply(inverse(A),multiply(inverse(inverse(B)),inverse(multiply(C,B)))) <->
% inverse(multiply(C,A)) collapsed.
% Rule
% [432]
% multiply(inverse(A),inverse(inverse(multiply(inverse(B),B)))) -> inverse(A)
% collapsed.
% Rule
% [438]
% multiply(inverse(inverse(multiply(A,C))),inverse(C)) <->
% multiply(A,multiply(inverse(B),B)) collapsed.
% Rule
% [439]
% multiply(inverse(A),inverse(inverse(multiply(inverse(B),B)))) -> inverse(A)
% collapsed.
% Rule [442] multiply(inverse(inverse(B)),inverse(multiply(inverse(A),B))) -> A
% collapsed.
% Rule
% [444] inverse(multiply(inverse(inverse(C)),inverse(multiply(V_3,C)))) -> V_3
% collapsed.
% Rule
% [445]
% multiply(inverse(B),inverse(inverse(multiply(B,C)))) -> inverse(inverse(C))
% collapsed.
% Rule
% [449]
% multiply(inverse(inverse(A)),inverse(multiply(B,A))) <->
% inverse(multiply(B,multiply(inverse(C),C))) collapsed.
% Rule
% [451]
% multiply(inverse(inverse(inverse(V_3))),multiply(inverse(inverse(inverse(B))),C))
% <-> inverse(multiply(inverse(multiply(inverse(B),C)),V_3)) collapsed.
% Rule
% [453]
% multiply(inverse(inverse(inverse(A))),multiply(inverse(inverse(C)),inverse(
% multiply(B,C))))
% <-> inverse(multiply(B,A)) collapsed.
% Current number of equations to process: 3086
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced : [465] multiply(inverse(C),multiply(C,V_3)) -> V_3
% Current number of equations to process: 3085
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [466] inverse(multiply(C,inverse(multiply(V_3,C)))) -> V_3
% Current number of equations to process: 3082
% Current number of ordered equations: 0
% Current number of rules: 80
% Rule [405]
% multiply(inverse(A),inverse(multiply(inverse(V_3),C))) <->
% multiply(inverse(A),inverse(multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(C),V_3))))) is composed into 
% [405]
% multiply(inverse(A),inverse(multiply(inverse(V_3),C))) <->
% multiply(inverse(A),inverse(multiply(inverse(B),multiply(B,inverse(multiply(
% inverse(C),V_3))))))
% Rule [351]
% multiply(inverse(multiply(C,A)),V_4) <->
% multiply(inverse(A),multiply(multiply(multiply(inverse(B),B),multiply(V_3,
% inverse(
% multiply(C,V_3)))),V_4)) is composed into 
% [351]
% multiply(inverse(multiply(C,A)),V_4) <->
% multiply(inverse(A),multiply(inverse(B),multiply(B,multiply(V_3,multiply(
% inverse(
% multiply(C,V_3)),V_4)))))
% Rule [307]
% inverse(multiply(inverse(V_3),C)) <->
% inverse(multiply(multiply(inverse(B),B),inverse(multiply(inverse(C),V_3)))) is composed into 
% [307]
% inverse(multiply(inverse(V_3),C)) <->
% inverse(multiply(inverse(B),multiply(B,inverse(multiply(inverse(C),V_3)))))
% New rule produced :
% [467] multiply(multiply(A,C),V_3) -> multiply(A,multiply(C,V_3))
% Rule
% [222]
% multiply(inverse(multiply(multiply(inverse(V_5),V_5),B)),V_4) ->
% multiply(inverse(B),V_4) collapsed.
% Rule
% [318]
% multiply(inverse(multiply(inverse(C),A)),multiply(inverse(multiply(multiply(
% inverse(V_3),V_3),C)),B))
% <-> multiply(inverse(multiply(multiply(inverse(c3),c3),A)),B) collapsed.
% Rule
% [319]
% multiply(inverse(multiply(multiply(inverse(c3),c3),A)),B) <->
% multiply(inverse(multiply(inverse(C),A)),multiply(inverse(multiply(multiply(
% inverse(V_3),V_3),C)),B))
% collapsed.
% Rule
% [332]
% multiply(inverse(multiply(multiply(inverse(V_4),V_4),A)),inverse(multiply(B,V_3)))
% -> multiply(inverse(A),inverse(multiply(B,V_3))) collapsed.
% Rule
% [335]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(multiply(
% inverse(C),C),A)),V_3))
% -> multiply(inverse(B),V_3) collapsed.
% Rule
% [357]
% multiply(inverse(multiply(multiply(multiply(inverse(A),A),B),C)),multiply(
% multiply(
% multiply(
% inverse(V_3),V_3),B),V_4))
% -> multiply(inverse(C),V_4) collapsed.
% Rule
% [375]
% multiply(inverse(multiply(multiply(inverse(V_3),V_3),A)),B) ->
% multiply(inverse(A),B) collapsed.
% Rule
% [422]
% multiply(multiply(inverse(c3),c3),multiply(inverse(C),C)) <->
% multiply(A,inverse(A)) collapsed.
% Rule
% [428]
% multiply(inverse(A),multiply(multiply(inverse(B),B),C)) ->
% multiply(inverse(A),C) collapsed.
% Rule [443] multiply(multiply(inverse(A),A),inverse(B)) -> inverse(B)
% collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% Trivial
% 
% Current number of equations to process: 3082
% Current number of ordered equations: 0
% Current number of rules: 71
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
% 
% The following 34 rules have been used:
% [1] 
% multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(
% inverse(
% multiply(A,
% inverse(B))),C))),B)))
% -> C; trace = in the starting set
% [2] inverse(multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(
% inverse(
% multiply(
% inverse(
% multiply(A,
% inverse(B))),
% inverse(V_3))),C))),V_3))
% ->
% multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),inverse(C)),B))); trace = Self cp of 1
% [3] multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% multiply(
% multiply(
% inverse(B),B),
% inverse(C)),B))))
% -> C; trace = Cp of 2 and 1
% [5] multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(inverse(
% multiply(
% multiply(
% inverse(B),B),
% inverse(V_3))),C))),V_3)
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,B)))); trace = Cp of 3 and 1
% [9] multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(C,inverse(
% multiply(
% multiply(
% multiply(
% inverse(V_3),V_3),
% inverse(V_4)),V_3)))))
% <->
% multiply(inverse(multiply(inverse(multiply(C,inverse(V_3))),inverse(B))),V_4); trace = Cp of 3 and 2
% [10] multiply(inverse(multiply(inverse(multiply(C,inverse(V_3))),inverse(B))),V_4)
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(C,inverse(
% multiply(
% multiply(
% multiply(
% inverse(V_3),V_3),
% inverse(V_4)),V_3))))); trace = Cp of 3 and 2
% [11] multiply(inverse(multiply(A,inverse(B))),multiply(A,C)) <->
% multiply(inverse(multiply(c3,inverse(B))),multiply(c3,C)); trace = Cp of 9 and 1
% [12] multiply(inverse(multiply(inverse(multiply(V_3,inverse(V_4))),inverse(B))),
% multiply(inverse(multiply(V_3,inverse(V_4))),C)) <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,C)); trace = Cp of 9 and 1
% [14] inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(
% inverse(
% multiply(c3,
% inverse(A))),
% multiply(c3,B)))),A))
% -> B; trace = Cp of 11 and 2
% [15] multiply(inverse(multiply(A,inverse(B))),multiply(A,C)) <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,C)); trace = Cp of 12 and 10
% [16] inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(
% inverse(
% multiply(B,
% inverse(A))),
% multiply(B,C)))),A))
% -> C; trace = Cp of 15 and 2
% [17] multiply(inverse(multiply(A,B)),multiply(A,C)) <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,C)); trace = Cp of 16 and 15
% [22] multiply(A,multiply(multiply(multiply(inverse(B),B),inverse(multiply(
% inverse(
% multiply(C,
% inverse(B))),
% multiply(C,A)))),V_3))
% <-> multiply(inverse(multiply(V_4,B)),multiply(V_4,V_3)); trace = Cp of 17 and 16
% [29] multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(
% multiply(
% multiply(
% inverse(V_3),V_3),
% inverse(V_4)),V_3)))))
% <-> multiply(inverse(multiply(inverse(multiply(C,inverse(V_3))),B)),V_4); trace = Cp of 14 and 9
% [30] inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(
% inverse(
% multiply(B,
% inverse(A))),C))),A))
% <->
% inverse(multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(
% inverse(
% multiply(B,
% inverse(V_3))),C))),V_3)); trace = Cp of 16 and 1
% [39] multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(
% multiply(B,
% inverse(A))),C))),A)
% <->
% multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(inverse(
% multiply(B,
% inverse(V_3))),C))),V_3); trace = Cp of 30 and 3
% [42] multiply(inverse(multiply(c3,A)),multiply(c3,A)) <->
% multiply(inverse(multiply(B,C)),multiply(B,C)); trace = Cp of 39 and 22
% [45] multiply(inverse(A),A) <->
% multiply(inverse(multiply(B,C)),multiply(B,C)); trace = Cp of 42 and 29
% [53] multiply(inverse(multiply(V_4,B)),multiply(V_4,A)) <->
% multiply(inverse(multiply(c3,B)),multiply(c3,A)); trace = Cp of 45 and 17
% [55] multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(C,V_3)),
% multiply(C,V_3))) <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,A)); trace = Cp of 45 and 17
% [58] multiply(inverse(multiply(V_4,inverse(V_5))),multiply(V_4,inverse(
% multiply(V_3,V_5))))
% <->
% multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,
% inverse(multiply(V_3,
% multiply(B,C))))); trace = Cp of 45 and 5
% [63] multiply(A,inverse(multiply(multiply(multiply(inverse(multiply(B,C)),
% multiply(B,C)),inverse(multiply(
% inverse(
% multiply(A,
% inverse(V_3))),V_4))),V_3)))
% -> V_4; trace = Cp of 45 and 1
% [64] inverse(multiply(multiply(multiply(inverse(multiply(A,B)),multiply(A,B)),
% inverse(multiply(inverse(multiply(C,inverse(V_3))),
% multiply(C,V_4)))),V_3)) -> V_4; trace = Cp of 45 and 16
% [66] multiply(inverse(A),multiply(multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(
% multiply(B,C)),
% multiply(B,C)))),V_3))
% <-> multiply(inverse(multiply(V_4,A)),multiply(V_4,V_3)); trace = Cp of 45 and 22
% [73] multiply(inverse(multiply(inverse(A),B)),multiply(inverse(C),C)) <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,A)); trace = Cp of 55 and 29
% [88] multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(
% multiply(A,
% inverse(C))),V_3))),C)))
% -> V_3; trace = Cp of 63 and 29
% [90] inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(
% inverse(
% multiply(B,
% inverse(C))),
% multiply(B,V_3)))),C))
% -> V_3; trace = Cp of 64 and 29
% [92] multiply(inverse(multiply(V_4,inverse(V_5))),multiply(V_4,inverse(
% multiply(
% inverse(B),V_5))))
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% inverse(c3),c3)))); trace = Cp of 58 and 45
% [105] multiply(inverse(A),multiply(multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(B),B))),C))
% <-> multiply(inverse(multiply(V_3,A)),multiply(V_3,C)); trace = Cp of 66 and 29
% [166] multiply(inverse(B),B) <-> multiply(inverse(A),A); trace = Cp of 88 and 73
% [205] multiply(inverse(multiply(C,A)),multiply(C,B)) ->
% multiply(inverse(A),B); trace = Cp of 105 and 53
% [208] multiply(inverse(C),inverse(multiply(inverse(c3),c3))) <->
% multiply(inverse(inverse(B)),inverse(multiply(C,B))); trace = Cp of 92 and 90
% [246] multiply(inverse(inverse(C)),inverse(multiply(A,C))) <->
% multiply(inverse(A),inverse(multiply(inverse(B),B))); trace = Cp of 208 and 166
% [467] multiply(multiply(A,C),V_3) -> multiply(A,multiply(C,V_3)); trace = Cp of 246 and 205
% % SZS output end Refutation
% All conjectures have been proven
% 
% Execution time: 22.010000 sec
% res : bool = true
% time is now off
% 
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
% 
% EOF
%------------------------------------------------------------------------------